From 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 Mon Sep 17 00:00:00 2001
From: Daniel Baumann <daniel.baumann@progress-linux.org>
Date: Sat, 27 Apr 2024 20:24:20 +0200
Subject: Adding upstream version 14.2.21.

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
---
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 create mode 100644 src/boost/libs/math/test/test_math_fwd.cpp
 create mode 100644 src/boost/libs/math/test/test_minima.cpp
 create mode 100644 src/boost/libs/math/test/test_nc_beta.cpp
 create mode 100644 src/boost/libs/math/test/test_nc_beta.hpp
 create mode 100644 src/boost/libs/math/test/test_nc_chi_squared.cpp
 create mode 100644 src/boost/libs/math/test/test_nc_chi_squared.hpp
 create mode 100644 src/boost/libs/math/test/test_nc_f.cpp
 create mode 100644 src/boost/libs/math/test/test_nc_t.cpp
 create mode 100644 src/boost/libs/math/test/test_nc_t.hpp
 create mode 100644 src/boost/libs/math/test/test_ncbeta_hooks.hpp
 create mode 100644 src/boost/libs/math/test/test_nccs_hooks.hpp
 create mode 100644 src/boost/libs/math/test/test_negative_binomial.cpp
 create mode 100644 src/boost/libs/math/test/test_next.cpp
 create mode 100644 src/boost/libs/math/test/test_next_decimal.cpp
 create mode 100644 src/boost/libs/math/test/test_nonfinite_io.cpp
 create mode 100644 src/boost/libs/math/test/test_nonfinite_trap.cpp
 create mode 100644 src/boost/libs/math/test/test_normal.cpp
 create mode 100644 src/boost/libs/math/test/test_numerical_differentiation.cpp
 create mode 100644 src/boost/libs/math/test/test_out_of_range.hpp
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 create mode 100644 src/boost/libs/math/test/test_pFq.cpp
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 create mode 100644 src/boost/libs/math/test/test_pFq_precision.cpp
 create mode 100644 src/boost/libs/math/test/test_pareto.cpp
 create mode 100644 src/boost/libs/math/test/test_poisson.cpp
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(limited to 'src/boost/libs/math')

diff --git a/src/boost/libs/math/README.md b/src/boost/libs/math/README.md
new file mode 100644
index 00000000..abeaf7a3
--- /dev/null
+++ b/src/boost/libs/math/README.md
@@ -0,0 +1,121 @@
+Boost Math Library [![Build Status](https://travis-ci.org/boostorg/math.svg?branch=develop)](https://travis-ci.org/boostorg/math)
+==================
+
+This library is divided into several interconnected parts:
+
+### Floating Point Utilities
+
+Utility functions for dealing with floating point arithmetic, includes functions for floating point classification (fpclassify, isnan, isinf etc), sign manipulation, rounding, comparison, and computing the distance between floating point numbers.
+
+### Specific Width Floating Point Types
+
+A set of typedefs similar to those provided by <cstdint> but for floating point types.
+
+### Mathematical Constants
+
+A wide range of constants ranging from various multiples of π, fractions, Euler's constant, etc.
+
+These are of course usable from template code, or as non-templates with a simplified interface if that is more appropriate.
+
+### Statistical Distributions
+
+Provides a reasonably comprehensive set of statistical distributions, upon which higher level statistical tests can be built.
+
+The initial focus is on the central univariate distributions. Both continuous (like normal & Fisher) and discrete (like binomial & Poisson) distributions are provided.
+
+A comprehensive tutorial is provided, along with a series of worked examples illustrating how the library is used to conduct statistical tests.
+
+### Special Functions
+
+Provides a small number of high quality special functions; initially these were concentrated on functions used in statistical applications along with those in the Technical Report on C++ Library Extensions.
+
+The function families currently implemented are the gamma, beta & error functions along with the incomplete gamma and beta functions (four variants of each) and all the possible inverses of these, plus the digamma, various factorial functions, Bessel functions, elliptic integrals, sinus cardinals (along with their hyperbolic variants), inverse hyperbolic functions, Legrendre/Laguerre/Hermite/Chebyshev polynomials and various special power and logarithmic functions.
+
+All the implementations are fully generic and support the use of arbitrary "real-number" types, including Boost.Multiprecision, although they are optimised for use with types with known significand (or mantissa) sizes: typically float, double or long double.
+
+These functions also provide the basis of support for the TR1 special functions.
+
+### Root Finding and Function Minimisation
+
+A comprehensive set of root-finding algorithms over the real line, both with derivatives and derivative free.
+
+Also function minimisation via Brent's Method.
+
+### Polynomials and Rational Functions
+
+Tools for manipulating polynomials and for efficient evaluation of rationals or polynomials.
+
+### Interpolation
+
+Function interpolation via barycentric rational interpolation, compactly supported cubic B-splines, and the Chebyshev transform.
+
+### Numerical Integration and Differentiation
+
+A reasonably comprehensive set of routines for integration (trapezoidal, Gauss-Legendre, Gauss-Kronrod, Gauss-Chebyshev, double-exponential, and Monte-Carlo) and differentiation (Chebyshev transform, finite difference, and the complex step derivative).
+
+The integration routines are usable for functions returning complex results - and hence can be used for computation of  contour integrals.
+
+### Quaternions and Octonions
+
+Quaternion and Octonians as class templates similar to std::complex.
+
+The full documentation is available on [boost.org](http://www.boost.org/doc/libs/release/libs/math).
+
+|                  |  Master  |   Develop   |
+|------------------|----------|-------------|
+| Travis           | [![Build Status](https://travis-ci.org/boostorg/math.svg?branch=master)](https://travis-ci.org/boostorg/math)  |  [![Build Status](https://travis-ci.org/boostorg/math.svg)](https://travis-ci.org/boostorg/math) |
+| Appveyor         | [![Build status](https://ci.appveyor.com/api/projects/status/cnugjx9dt7cou7nj/branch/master?svg=true)](https://ci.appveyor.com/project/jzmaddock/math/branch/master) | [![Build status](https://ci.appveyor.com/api/projects/status/cnugjx9dt7cou7nj/branch/develop?svg=true)](https://ci.appveyor.com/project/jzmaddock/math/branch/develop)  |
+
+
+
+## Support, bugs and feature requests ##
+
+Bugs and feature requests can be reported through the [Gitub issue tracker](https://github.com/boostorg/math/issues)
+(see [open issues](https://github.com/boostorg/math/issues) and
+[closed issues](https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue+is%3Aclosed)).
+
+You can submit your changes through a [pull request](https://github.com/boostorg/math/pulls).
+
+There is no mailing-list specific to Boost Math, although you can use the general-purpose Boost [mailing-list](http://lists.boost.org/mailman/listinfo.cgi/boost-users) using the tag [math].
+
+
+## Development ##
+
+Clone the whole boost project, which includes the individual Boost projects as submodules ([see boost+git doc](https://github.com/boostorg/boost/wiki/Getting-Started)):
+
+    $ git clone https://github.com/boostorg/boost
+    $ cd boost
+    $ git submodule update --init
+
+The Boost Math Library is located in `libs/math/`.
+
+### Running tests ###
+First, make sure you are in `libs/math/test`.
+You can either run all the tests listed in `Jamfile.v2` or run a single test:
+
+    test$ ../../../b2                        <- run all tests
+    test$ ../../../b2 static_assert_test     <- single test
+    test$ # A more advanced syntax, demoing various options for building the tests:
+    test$ ../../../b2 -a -j2 -q --reconfigure toolset=clang cxxflags="--std=c++14 -fsanitize=address -fsanitize=undefined" linkflags="-fsanitize=undefined -fsanitize=address"
+    
+### Building documentation ###
+
+Full instructions can be found [here](https://svn.boost.org/trac10/wiki/BoostDocs/GettingStarted), but to reiterate slightly:
+
+```bash
+libs/math/doc$ brew install docbook-xsl # on mac
+libs/math/doc$ touch ~/user-config.jam
+libs/math/doc$ # now edit so that:
+libs/math/doc$ cat ~/user-config.jam
+using darwin ;
+
+using xsltproc ;
+
+using boostbook
+    : /usr/local/opt/docbook-xsl/docbook-xsl
+    ;
+
+using doxygen ;
+using quickbook ;
+libs/math/doc$ ../../../b2
+```
diff --git a/src/boost/libs/math/build/Jamfile.v2 b/src/boost/libs/math/build/Jamfile.v2
new file mode 100644
index 00000000..3537e9f5
--- /dev/null
+++ b/src/boost/libs/math/build/Jamfile.v2
@@ -0,0 +1,123 @@
+# copyright John Maddock 2008
+# Distributed under the Boost Software License, Version 1.0. 
+# (See accompanying file LICENSE_1_0.txt or copy at 
+# http://www.boost.org/LICENSE_1_0.txt.
+
+import testing ;
+import pch ;
+
+project  
+    : requirements 
+      <toolset>intel-win:<cxxflags>-nologo 
+      <toolset>intel-win:<linkflags>-nologo 
+      #<toolset>intel-linux:<pch>off
+      <toolset>intel-darwin:<pch>off
+      <toolset>msvc-7.1:<pch>off
+      <toolset>gcc,<target-os>windows:<pch>off
+      #<toolset>gcc:<cxxflags>-fvisibility=hidden
+      <toolset>intel-linux:<cxxflags>-fvisibility=hidden
+      #<toolset>sun:<cxxflags>-xldscope=hidden
+      [ check-target-builds ../config//has_gcc_visibility "gcc visibility" : <toolset>gcc:<cxxflags>-fvisibility=hidden : ]
+    ;
+
+cpp-pch pch : ../src/tr1/pch.hpp : <include>../src/tr1 <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1 ; 
+
+C99_SOURCES = acosh
+asinh
+atanh
+cbrt
+copysign
+erfc
+erf
+expm1
+fmax
+fmin
+fpclassify
+hypot
+lgamma
+llround
+log1p
+lround
+nextafter
+nexttoward
+round
+tgamma
+trunc ;
+
+TR1_SOURCES = 
+assoc_laguerre
+assoc_legendre
+beta
+comp_ellint_1
+comp_ellint_2
+comp_ellint_3
+cyl_bessel_i
+cyl_bessel_j
+cyl_bessel_k
+cyl_neumann
+ellint_1
+ellint_2
+ellint_3
+expint
+hermite
+laguerre
+legendre
+riemann_zeta
+sph_bessel
+sph_legendre
+sph_neumann
+;
+
+# Configure checks.
+
+import project ;
+import configure ;
+import property ;
+import property-set ;
+import targets ;
+
+obj long_double_check : ../config/has_long_double_support.cpp ;
+explicit long_double_check ;
+        
+# Library targets
+lib boost_math_tr1 : ../src/tr1/$(TR1_SOURCES).cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <include>../src/tr1
+   ;
+
+lib boost_math_tr1f : ../src/tr1/$(TR1_SOURCES)f.cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <include>../src/tr1
+   ;
+
+lib boost_math_tr1l : ../src/tr1/$(TR1_SOURCES)l.cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <dependency>../config//has_long_double_support
+         <include>../src/tr1
+         [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+   ;
+
+lib boost_math_c99 : ../src/tr1/$(C99_SOURCES).cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <include>../src/tr1
+   ;
+
+lib boost_math_c99f : ../src/tr1/$(C99_SOURCES)f.cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <include>../src/tr1
+   ;
+
+lib boost_math_c99l : ../src/tr1/$(C99_SOURCES)l.cpp pch
+    :         
+         <link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
+         <dependency>../config//has_long_double_support
+         <include>../src/tr1
+         [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+   ;
+
+boost-install boost_math_c99 boost_math_c99f boost_math_c99l boost_math_tr1 boost_math_tr1f boost_math_tr1l ;
diff --git a/src/boost/libs/math/config/Jamfile.v2 b/src/boost/libs/math/config/Jamfile.v2
new file mode 100644
index 00000000..86db7150
--- /dev/null
+++ b/src/boost/libs/math/config/Jamfile.v2
@@ -0,0 +1,52 @@
+# copyright John Maddock 2008
+# Distributed under the Boost Software License, Version 1.0. 
+# (See accompanying file LICENSE_1_0.txt or copy at 
+# http://www.boost.org/LICENSE_1_0.txt.
+
+import modules ;
+import path ;
+
+local ntl-path = [ modules.peek : NTL_PATH ] ;
+local gmp_path = [ modules.peek : GMP_PATH ] ;
+local e_float_path = [ modules.peek : E_FLOAT_PATH ] ;
+
+lib quadmath ;
+lib fftw3 ;
+lib fftw3f ;
+lib fftw3l ;
+lib fftw3q ;
+
+obj has_long_double_support : has_long_double_support.cpp ;
+obj has_mpfr_class : has_mpfr_class.cpp :
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx ;
+obj has_mpreal : has_mpreal.cpp :
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/mpfrc++ ;
+obj has_ntl_rr : has_ntl_rr.cpp : <include>$(ntl-path)/include ;
+obj has_gmpxx : has_gmpxx.cpp :
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx ;
+obj has_gcc_visibility : has_gcc_visibility.cpp :
+      <toolset>gcc:<cxxflags>-fvisibility=hidden <toolset>gcc:<cxxflags>-Werror ;
+obj has_e_float : has_e_float.cpp : <include>$(e_float_path) ;
+exe has_float128 : has_float128.cpp quadmath ;
+exe has_fftw3 : has_fftw3.cpp fftw3 fftw3f fftw3l ;
+exe has_intel_quad : has_intel_quad.cpp : <cxxflags>-Qoption,cpp,--extended_float_type ;
+obj has_128bit_floatmax_t : has_128bit_floatmax_t.cpp ;
+obj has_mpfr : has_mpfr.cpp :
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx ;
+obj has_gmp : has_gmp.cpp :
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx ;
+
+explicit has_long_double_support ;
+explicit has_mpfr_class ;
+explicit has_mpfr ;
+explicit has_gmp ;
+explicit has_mpreal ;
+explicit has_ntl_rr ;
+explicit has_gmpxx ;
+explicit has_gcc_visibility ;
+explicit has_e_float ;
+explicit has_float128 ;
+explicit has_intel_quad ;
+explicit has_128bit_floatmax_t ;
+explicit has_fftw3 ;
+
diff --git a/src/boost/libs/math/config/has_128bit_floatmax_t.cpp b/src/boost/libs/math/config/has_128bit_floatmax_t.cpp
new file mode 100644
index 00000000..aee4837c
--- /dev/null
+++ b/src/boost/libs/math/config/has_128bit_floatmax_t.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/cstdfloat.hpp>
+#include <boost/static_assert.hpp>
+
+#ifndef BOOST_FLOAT128_C
+#error "There is no 128 bit floating point type"
+#endif
+
+BOOST_STATIC_ASSERT(sizeof(boost::floatmax_t) * CHAR_BIT == 128);
+
+int main()
+{
+   return 0;
+}
+
diff --git a/src/boost/libs/math/config/has_e_float.cpp b/src/boost/libs/math/config/has_e_float.cpp
new file mode 100644
index 00000000..1f3b3053
--- /dev/null
+++ b/src/boost/libs/math/config/has_e_float.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+#endif
+
+#define E_FLOAT_TYPE_EFX
+
+#include <e_float/e_float.h>
+#include <functions/functions.h>
+
diff --git a/src/boost/libs/math/config/has_fftw3.cpp b/src/boost/libs/math/config/has_fftw3.cpp
new file mode 100644
index 00000000..80456857
--- /dev/null
+++ b/src/boost/libs/math/config/has_fftw3.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <fftw3.h>
+
+int main()
+{
+   fftwq_plan plan;  // early versions don't have this it seems.
+
+   fftw_cleanup();
+   fftwf_cleanup();
+   fftwl_cleanup();
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/config/has_float128.cpp b/src/boost/libs/math/config/has_float128.cpp
new file mode 100644
index 00000000..60a2e2e4
--- /dev/null
+++ b/src/boost/libs/math/config/has_float128.cpp
@@ -0,0 +1,17 @@
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+extern "C" {
+#include <quadmath.h>
+}
+
+int main()
+{
+   __float128 f = -2.0Q;
+   f = fabsq(f);
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/config/has_gcc_visibility.cpp b/src/boost/libs/math/config/has_gcc_visibility.cpp
new file mode 100644
index 00000000..6c7d6f91
--- /dev/null
+++ b/src/boost/libs/math/config/has_gcc_visibility.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 20010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef __GNUC__
+# error "This is a GCC specific test case".
+#endif
+
+int main()
+{
+   return 0;
+}
diff --git a/src/boost/libs/math/config/has_gmp.cpp b/src/boost/libs/math/config/has_gmp.cpp
new file mode 100644
index 00000000..196b6e2f
--- /dev/null
+++ b/src/boost/libs/math/config/has_gmp.cpp
@@ -0,0 +1,33 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cstddef> // See https://gcc.gnu.org/gcc-4.9/porting_to.html
+#include <gmp.h>
+#include <boost/config.hpp>
+
+#ifdef __GNUC__
+#pragma message "__GNU_MP_VERSION=" BOOST_STRINGIZE(__GNU_MP_VERSION)
+#pragma message "__GNU_MP_VERSION_MINOR=" BOOST_STRINGIZE(__GNU_MP_VERSION_MINOR)
+#endif
+
+#if (__GNU_MP_VERSION < 4) || ((__GNU_MP_VERSION == 4) && (__GNU_MP_VERSION_MINOR < 2))
+#error "Incompatible GMP version"
+#endif
+
+int main()
+{
+   void* (*alloc_func_ptr)(size_t);
+   void* (*realloc_func_ptr)(void*, size_t, size_t);
+   void (*free_func_ptr)(void*, size_t);
+
+   mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
+
+   mpz_t integ;
+   mpz_init(integ);
+   if (integ[0]._mp_d)
+      mpz_clear(integ);
+
+   return 0;
+}
diff --git a/src/boost/libs/math/config/has_gmpxx.cpp b/src/boost/libs/math/config/has_gmpxx.cpp
new file mode 100644
index 00000000..edf62d8c
--- /dev/null
+++ b/src/boost/libs/math/config/has_gmpxx.cpp
@@ -0,0 +1,7 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <gmpxx.h>
+
diff --git a/src/boost/libs/math/config/has_intel_quad.cpp b/src/boost/libs/math/config/has_intel_quad.cpp
new file mode 100644
index 00000000..a2db80cc
--- /dev/null
+++ b/src/boost/libs/math/config/has_intel_quad.cpp
@@ -0,0 +1,16 @@
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+extern "C" _Quad __fabs(_Quad);
+
+int main()
+{
+   _Quad f = -2.0Q;
+   f = __fabsq(f);
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/config/has_long_double_support.cpp b/src/boost/libs/math/config/has_long_double_support.cpp
new file mode 100644
index 00000000..d314cf38
--- /dev/null
+++ b/src/boost/libs/math/config/has_long_double_support.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/config.hpp>
+
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#error "long double support is not supported by Boost.Math on this Plaform: the long double version of the TR1 library will not be built."
+#endif
diff --git a/src/boost/libs/math/config/has_mpfr.cpp b/src/boost/libs/math/config/has_mpfr.cpp
new file mode 100644
index 00000000..c82f28d7
--- /dev/null
+++ b/src/boost/libs/math/config/has_mpfr.cpp
@@ -0,0 +1,47 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cstddef> // See https://gcc.gnu.org/gcc-4.9/porting_to.html
+#include <mpfr.h>
+#include <boost/config.hpp>
+
+#ifdef __GNUC__
+#pragma message "MPFR_VERSION_STRING=" MPFR_VERSION_STRING
+#endif
+
+#if (__GNU_MP_VERSION < 4) || ((__GNU_MP_VERSION == 4) && (__GNU_MP_VERSION_MINOR < 2))
+#error "Incompatible GMP version"
+#endif
+
+#if (MPFR_VERSION < 3)
+#error "Incompatible MPFR version"
+#endif
+
+#ifdef __GNUC__
+#pragma message "__GNU_MP_VERSION=" BOOST_STRINGIZE(__GNU_MP_VERSION)
+#pragma message "__GNU_MP_VERSION_MINOR=" BOOST_STRINGIZE(__GNU_MP_VERSION_MINOR)
+#endif
+
+#if (__GNU_MP_VERSION < 4) || ((__GNU_MP_VERSION == 4) && (__GNU_MP_VERSION_MINOR < 2))
+#error "Incompatible GMP version"
+#endif
+
+int main()
+{
+   void* (*alloc_func_ptr)(size_t);
+   void* (*realloc_func_ptr)(void*, size_t, size_t);
+   void (*free_func_ptr)(void*, size_t);
+
+   mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
+
+   mpfr_buildopt_tls_p();
+
+   mpfr_t t;
+   mpfr_init2(t, 128);
+   if (t[0]._mpfr_d)
+      mpfr_clear(t);
+
+   return 0;
+}
diff --git a/src/boost/libs/math/config/has_mpfr_class.cpp b/src/boost/libs/math/config/has_mpfr_class.cpp
new file mode 100644
index 00000000..376b022d
--- /dev/null
+++ b/src/boost/libs/math/config/has_mpfr_class.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2008.
+//  Copyright Paul A. Britow 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant
+#  pragma warning (disable : 4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
+#  pragma warning (disable : 4512) // assignment operator could not be generated
+#endif
+
+#include <cstddef>
+#include <gmpfrxx.h>
+
diff --git a/src/boost/libs/math/config/has_mpreal.cpp b/src/boost/libs/math/config/has_mpreal.cpp
new file mode 100644
index 00000000..8ee8897d
--- /dev/null
+++ b/src/boost/libs/math/config/has_mpreal.cpp
@@ -0,0 +1,14 @@
+//  Copyright John Maddock 2008.
+//  Copyright Paul A. Britow 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant
+#  pragma warning (disable : 4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
+#  pragma warning (disable : 4512) // assignment operator could not be generated
+#endif
+
+#include <mpreal.h>
+
diff --git a/src/boost/libs/math/config/has_ntl_rr.cpp b/src/boost/libs/math/config/has_ntl_rr.cpp
new file mode 100644
index 00000000..f3844217
--- /dev/null
+++ b/src/boost/libs/math/config/has_ntl_rr.cpp
@@ -0,0 +1,12 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+#endif
+
+#include <NTL/RR.h>
+
diff --git a/src/boost/libs/math/dot_net_example/boost_math/AssemblyInfo.cpp b/src/boost/libs/math/dot_net_example/boost_math/AssemblyInfo.cpp
new file mode 100644
index 00000000..f8bcf174
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/AssemblyInfo.cpp
@@ -0,0 +1,44 @@
+#include "stdafx.h"
+
+// Copyright Paul A. Bristow & John Maddock 2009, 2010
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+using namespace System;
+using namespace System::Reflection;
+using namespace System::Runtime::CompilerServices;
+using namespace System::Runtime::InteropServices;
+using namespace System::Security::Permissions;
+
+// General Information about an assembly is controlled through the following set of attributes.
+// Change these attribute values to modify the information associated with an assembly.
+
+[assembly:AssemblyTitleAttribute("boost_math")];
+[assembly:AssemblyDescriptionAttribute("Math Toolkit")];
+[assembly:AssemblyConfigurationAttribute("")];
+[assembly:AssemblyCompanyAttribute("jmc")];
+[assembly:AssemblyProductAttribute("boost_math")];
+[assembly:AssemblyCopyrightAttribute("Copyright (c) jmc 2007 - 2010")];
+[assembly:AssemblyTrademarkAttribute("")];
+[assembly:AssemblyCultureAttribute("")];
+
+//
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the value or you can default the Revision and Build Numbers
+// by using the '*' as shown below:
+
+[assembly:AssemblyVersionAttribute("1.1.*")];
+
+[assembly:ComVisible(false)];
+
+[assembly:CLSCompliantAttribute(true)];
+// Deprecated:
+//[assembly:SecurityPermission(SecurityAction::RequestMinimum, UnmanagedCode = true)];
diff --git a/src/boost/libs/math/dot_net_example/boost_math/ReadMe.txt b/src/boost/libs/math/dot_net_example/boost_math/ReadMe.txt
new file mode 100644
index 00000000..a7a5a5d7
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/ReadMe.txt
@@ -0,0 +1,38 @@
+========================================================================
+    DYNAMIC LINK LIBRARY : boost_math Project Overview
+========================================================================
+
+AppWizard has created this boost_math DLL for you.
+
+// Copyright Paul A. Bristow & John Maddock 2009
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+This file contains a summary of what you will find in each of the files that
+make up your boost_math application.
+
+boost_math.vcproj
+    This is the main project file for VC++ projects generated using an Application Wizard.
+    It contains information about the version of Visual C++ that generated the file, and
+    information about the platforms, configurations, and project features selected with the
+    Application Wizard.
+
+boost_math.cpp
+    This is the main DLL source file.
+
+boost_math.h
+    This file contains a class declaration.
+
+AssemblyInfo.cpp
+  Contains custom attributes for modifying assembly metadata.
+
+/////////////////////////////////////////////////////////////////////////////
+Other notes:
+
+AppWizard uses "TODO:" to indicate parts of the source code you
+should add to or customize.
+
+/////////////////////////////////////////////////////////////////////////////
+
diff --git a/src/boost/libs/math/dot_net_example/boost_math/Stdafx.cpp b/src/boost/libs/math/dot_net_example/boost_math/Stdafx.cpp
new file mode 100644
index 00000000..f65a89a5
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/Stdafx.cpp
@@ -0,0 +1,11 @@
+// stdafx.cpp : source file that includes just the standard includes
+// boost_math.pch will be the pre-compiled header
+// stdafx.obj will contain the pre-compiled type information
+
+// Copyright Paul A. Bristow & John Maddock 2009
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "stdafx.h"
diff --git a/src/boost/libs/math/dot_net_example/boost_math/Stdafx.h b/src/boost/libs/math/dot_net_example/boost_math/Stdafx.h
new file mode 100644
index 00000000..f463f27f
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/Stdafx.h
@@ -0,0 +1,54 @@
+// stdafx.h : include file for standard system include files,
+// or project specific include files that are used frequently,
+// but are changed infrequently.
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007, 2009, 2010, 2012
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Laplace added Aug 2009 PAB, and several others Nov 2010, 
+// added skew_normal 2012.
+
+#ifdef _MSC_VER
+#  pragma once
+#  pragma warning (disable : 4127)
+#endif
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY errno_on_error
+
+#include <boost/math/distributions/bernoulli.hpp>
+#include <boost/math/distributions/beta.hpp>
+#include <boost/math/distributions/binomial.hpp>
+#include <boost/math/distributions/cauchy.hpp>
+#include <boost/math/distributions/chi_squared.hpp>
+#include <boost/math/distributions/exponential.hpp>
+#include <boost/math/distributions/extreme_value.hpp>
+#include <boost/math/distributions/fisher_f.hpp>
+#include <boost/math/distributions/gamma.hpp>
+#include <boost/math/distributions/geometric.hpp>
+#include <boost/math/distributions/hypergeometric.hpp>
+#include <boost/math/distributions/inverse_chi_squared.hpp>
+#include <boost/math/distributions/inverse_gamma.hpp>
+#include <boost/math/distributions/inverse_gaussian.hpp>
+#include <boost/math/distributions/laplace.hpp>
+#include <boost/math/distributions/logistic.hpp>
+#include <boost/math/distributions/lognormal.hpp>
+#include <boost/math/distributions/negative_binomial.hpp>
+#include <boost/math/distributions/non_central_beta.hpp>
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+#include <boost/math/distributions/non_central_f.hpp>
+#include <boost/math/distributions/non_central_t.hpp>
+#include <boost/math/distributions/normal.hpp>
+#include <boost/math/distributions/pareto.hpp>
+#include <boost/math/distributions/poisson.hpp>
+#include <boost/math/distributions/rayleigh.hpp>
+#include <boost/math/distributions/students_t.hpp>
+#include <boost/math/distributions/skew_normal.hpp>
+#include <boost/math/distributions/triangular.hpp>
+#include <boost/math/distributions/uniform.hpp>
+#include <boost/math/distributions/weibull.hpp>
diff --git a/src/boost/libs/math/dot_net_example/boost_math/app.ico b/src/boost/libs/math/dot_net_example/boost_math/app.ico
new file mode 100644
index 00000000..3a5525fd
Binary files /dev/null and b/src/boost/libs/math/dot_net_example/boost_math/app.ico differ
diff --git a/src/boost/libs/math/dot_net_example/boost_math/app.rc b/src/boost/libs/math/dot_net_example/boost_math/app.rc
new file mode 100644
index 00000000..0bc391bd
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/app.rc
@@ -0,0 +1,63 @@
+// Microsoft Visual C++ generated resource script.
+//
+#include "resource.h"
+
+#define APSTUDIO_READONLY_SYMBOLS
+
+/////////////////////////////////////////////////////////////////////////////
+#undef APSTUDIO_READONLY_SYMBOLS
+
+/////////////////////////////////////////////////////////////////////////////
+// English (U.S.) resources
+
+
+/////////////////////////////////////////////////////////////////////////////
+//
+// Icon
+//
+
+// Icon placed first or with lowest ID value becomes application icon
+
+LANGUAGE 9, 2
+#pragma code_page(1252)
+1           ICON         "app.ico"
+
+#ifdef APSTUDIO_INVOKED
+/////////////////////////////////////////////////////////////////////////////
+//
+// TEXTINCLUDE
+//
+
+1 TEXTINCLUDE  
+BEGIN
+    "resource.h\0"
+    "\0"
+END
+
+2 TEXTINCLUDE  
+BEGIN
+    "#include ""afxres.h""\r\n"
+    "\0"
+END
+
+3 TEXTINCLUDE  
+BEGIN
+    "\0"
+END
+
+#endif    // APSTUDIO_INVOKED
+
+/////////////////////////////////////////////////////////////////////////////
+
+
+
+#ifndef APSTUDIO_INVOKED
+/////////////////////////////////////////////////////////////////////////////
+//
+// Generated from the TEXTINCLUDE 3 resource.
+//
+
+
+/////////////////////////////////////////////////////////////////////////////
+#endif    // not APSTUDIO_INVOKED
+
diff --git a/src/boost/libs/math/dot_net_example/boost_math/boost_math.cpp b/src/boost/libs/math/dot_net_example/boost_math/boost_math.cpp
new file mode 100644
index 00000000..a7fabade
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/boost_math.cpp
@@ -0,0 +1,255 @@
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007, 2009, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// boost_math.cpp  This is the main DLL file.
+
+//#define BOOST_MATH_OVERFLOW_ERROR_POLICY errno_on_error
+//#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+// These are now defined in project properties
+// to avoid complications with pre-compiled headers:
+// "BOOST_MATH_ASSERT_UNDEFINED_POLICY=0"
+// "BOOST_MATH_OVERFLOW_ERROR_POLICY="errno_on_error""
+// so command line shows:
+// /D "BOOST_MATH_ASSERT_UNDEFINED_POLICY=0"
+// /D "BOOST_MATH_OVERFLOW_ERROR_POLICY="errno_on_error""
+
+#include "stdafx.h"
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4400) // 'const boost_math::any_distribution ^' : const/volatile qualifiers on this type are not supported
+#  pragma warning(disable: 4244) // 'argument' : conversion from 'double' to 'unsigned int', possible loss of data
+#  pragma warning(disable: 4512) // assignment operator could not be generated
+// hypergeometric expects integer parameters.
+#  pragma warning(disable: 4127) // constant
+#endif
+
+#include "boost_math.h"
+
+namespace boost_math
+{
+
+any_distribution::any_distribution(int t, double arg1, double arg2, double arg3)
+{
+   TRANSLATE_EXCEPTIONS_BEGIN
+   // This is where all the work gets done:
+   switch(t) // index of distribution to distribution_info distributions[]
+   {  // New entries must match distribution names, parameter name(s) and defaults defined below.
+   case 0:
+      this->reset(new concrete_distribution<boost::math::bernoulli>(boost::math::bernoulli(arg1)));
+      break;
+   case 1:
+      this->reset(new concrete_distribution<boost::math::beta_distribution<> >(boost::math::beta_distribution<>(arg1, arg2)));
+      break; // Note - no typedef, so need explicit type <> but rely on default = double.
+   case 2:
+      this->reset(new concrete_distribution<boost::math::binomial_distribution<> >(boost::math::binomial_distribution<>(arg1, arg2)));
+      break; // Note - no typedef, so need explicit type <> but rely on default = double.
+   case 3:
+      this->reset(new concrete_distribution<boost::math::cauchy>(boost::math::cauchy(arg1, arg2)));
+      break;
+   case 4:
+      this->reset(new concrete_distribution<boost::math::chi_squared>(boost::math::chi_squared(arg1)));
+      break;
+   case 5:
+      this->reset(new concrete_distribution<boost::math::exponential>(boost::math::exponential(arg1)));
+      break;
+   case 6:
+      this->reset(new concrete_distribution<boost::math::extreme_value>(boost::math::extreme_value(arg1)));
+      break;
+   case 7:
+      this->reset(new concrete_distribution<boost::math::fisher_f >(boost::math::fisher_f(arg1, arg2)));
+      break;
+   case 8:
+      this->reset(new concrete_distribution<boost::math::gamma_distribution<> >(boost::math::gamma_distribution<>(arg1, arg2)));
+      break;
+   case 9:
+      this->reset(new concrete_distribution<boost::math::geometric_distribution<> >(boost::math::geometric_distribution<>(arg1)));
+      break;
+   case 10:
+      this->reset(new concrete_distribution<boost::math::hypergeometric_distribution<> >(boost::math::hypergeometric_distribution<>(arg1, arg2, arg3)));
+      break;
+   case 11:
+      this->reset(new concrete_distribution<boost::math::inverse_chi_squared_distribution<> >(boost::math::inverse_chi_squared_distribution<>(arg1, arg2)));
+      break;
+   case 12:
+      this->reset(new concrete_distribution<boost::math::inverse_gamma_distribution<> >(boost::math::inverse_gamma_distribution<>(arg1, arg2)));
+      break;
+   case 13:
+      this->reset(new concrete_distribution<boost::math::inverse_gaussian_distribution<> >(boost::math::inverse_gaussian_distribution<>(arg1, arg2)));
+      break;
+   case 14:
+      this->reset(new concrete_distribution<boost::math::laplace_distribution<> >(boost::math::laplace_distribution<>(arg1, arg2)));
+      break;
+   case 15:
+      this->reset(new concrete_distribution<boost::math::logistic_distribution<> >(boost::math::logistic_distribution<>(arg1, arg2)));
+      break;
+   case 16:
+      this->reset(new concrete_distribution<boost::math::lognormal_distribution<> >(boost::math::lognormal_distribution<>(arg1, arg2)));
+      break;
+   case 17:
+      this->reset(new concrete_distribution<boost::math::negative_binomial_distribution<> >(boost::math::negative_binomial_distribution<>(arg1, arg2)));
+      break;
+   case 18:
+      this->reset(new concrete_distribution<boost::math::non_central_beta_distribution<> >(boost::math::non_central_beta_distribution<>(arg1, arg2, arg3)));
+      break;
+   case 19:
+      this->reset(new concrete_distribution<boost::math::non_central_chi_squared_distribution<> >(boost::math::non_central_chi_squared_distribution<>(arg1, arg2)));
+      break;
+   case 20:
+      this->reset(new concrete_distribution<boost::math::non_central_f_distribution<> >(boost::math::non_central_f_distribution<>(arg1, arg2, arg3)));
+      break;
+   case 21:
+      this->reset(new concrete_distribution<boost::math::non_central_t_distribution<> >(boost::math::non_central_t_distribution<>(arg1, arg2)));
+      break;
+   case 22:
+      this->reset(new concrete_distribution<boost::math::normal_distribution<> >(boost::math::normal_distribution<>(arg1, arg2)));
+      break;
+   case 23:
+      this->reset(new concrete_distribution<boost::math::pareto>(boost::math::pareto(arg1, arg2)));
+      break;
+   case 24:
+      this->reset(new concrete_distribution<boost::math::poisson>(boost::math::poisson(arg1)));
+      break;
+   case 25:
+      this->reset(new concrete_distribution<boost::math::rayleigh>(boost::math::rayleigh(arg1)));
+      break;
+   case 26:
+      this->reset(new concrete_distribution<boost::math::skew_normal>(boost::math::skew_normal(arg1, arg2, arg3)));
+      break;
+   case 27:
+      this->reset(new concrete_distribution<boost::math::students_t>(boost::math::students_t(arg1)));
+      break;
+   case 28:
+      this->reset(new concrete_distribution<boost::math::triangular>(boost::math::triangular(arg1, arg2, arg3)));
+      break;
+   case 29:
+      this->reset(new concrete_distribution<boost::math::uniform>(boost::math::uniform(arg1, arg2)));
+      break;
+   case 30:
+      this->reset(new concrete_distribution<boost::math::weibull>(boost::math::weibull(arg1, arg2)));
+      break;
+
+
+   default:
+      // TODO  Need some proper error handling here?
+      BOOST_ASSERT(0);
+   }
+   TRANSLATE_EXCEPTIONS_END
+} // any_distribution constructor.
+
+struct distribution_info
+{
+   const char* name; // of distribution.
+   const char* first_param; // Parameters' name like "degrees of freedom",
+   const char* second_param; // if required, else "",
+   const char* third_param; // if required, else "".
+   // triangular and non-centrals need 3 parameters.
+   // (Only the Bi-Weibull would need 5 parameters?)
+   double first_default; // distribution parameter value, often 0, 0.5 or 1.
+   double second_default; // 0 if there isn't a second argument.
+   // Note that defaults below follow default argument in constructors,
+   // if any, but need not be the same.
+   double third_default; // 0 if there isn't a third argument.
+};
+
+distribution_info distributions[] =
+{ // distribution name, parameter name(s) and default(s)
+  // Order must match any_distribution constructor above!
+  // Null string "" and zero default for un-used arguments.
+   { "Bernoulli", "Probability", "", "",0.5, 0, 0}, // case 0
+   { "Beta", "Alpha", "Beta", "", 1, 1, 0}, // case 1
+   { "Binomial", "Trials", "Probability of success", "", 1, 0.5, 0}, // case 2
+   { "Cauchy", "Location", "Scale", "", 0, 1, 0}, // case 3
+   { "Chi_squared", "Degrees of freedom", "", "", 1, 0, 0}, // case 4
+   { "Exponential", "lambda", "", "", 1, 0, 0}, // case 5
+   { "Extreme value", "Location", "Scale", "", 0, 1, 0}, // case 6
+   { "Fisher-F", "Degrees of freedom 1", "Degrees of freedom 2", "", 1, 1, 0}, // case 7
+   { "Gamma (Erlang)", "Shape", "Scale", "", 1, 1, 0}, // case 8
+   { "Geometric", "Probability", "", "", 1, 0, 0}, // case 9
+   { "HyperGeometric", "Defects", "Samples", "Objects", 1, 0, 1}, // case 10
+   { "InverseChiSq", "Degrees of Freedom", "Scale", "", 1, 1, 0}, // case 11
+   { "InverseGamma", "Shape", "Scale", "", 1, 1, 0}, // case 12
+   { "InverseGaussian", "Mean", "Scale", "", 1, 1, 0}, // case 13
+   { "Laplace", "Location", "Scale", "", 0, 1, 0}, // case 14
+   { "Logistic", "Location", "Scale", "", 0, 1, 0}, // case 15
+   { "LogNormal", "Location", "Scale", "", 0, 1, 0}, // case 16
+   { "Negative Binomial", "Successes", "Probability of success", "", 1, 0.5, 0}, // case 17
+   { "Noncentral Beta", "Shape alpha", "Shape beta", "Non-centrality", 1, 1, 0}, // case 18
+   { "Noncentral ChiSquare", "Degrees of Freedom", "Non-centrality", "", 1, 0, 0}, // case 19
+   { "Noncentral F", "Degrees of Freedom 1", "Degrees of Freedom 2", "Non-centrality", 1, 1, 0}, // case 20
+   { "Noncentral t", "Degrees of Freedom", "Non-centrality", "", 1, 0, 0}, // case 21
+   { "Normal (Gaussian)", "Mean", "Standard Deviation", "", 0, 1, 0}, // case 22
+   { "Pareto", "Location", "Shape","", 1, 1, 0}, // case 23
+   { "Poisson", "Mean", "", "", 1, 0, 0}, // case 24
+   { "Rayleigh", "Shape", "", "", 1, 0, 0}, // case 25
+   { "Skew Normal", "Location", "Shape", "Skew", 0, 1, 0}, // case 27  (defaults to Gaussian).
+   { "Student's t", "Degrees of Freedom", "", "", 1, 0, 0}, // case 28
+   { "Triangular", "Lower", "Mode", "Upper", -1, 0, +1 }, // case 29 3rd parameter!
+   // 0, 0.5, 1 also said to be 'standard' but this is most like an approximation to Gaussian distribution.
+   { "Uniform", "Lower", "Upper", "", 0, 1, 0}, // case 30
+   { "Weibull", "Shape", "Scale", "", 1, 1, 0}, // case 31
+};
+
+// How many distributions are supported:
+int any_distribution::size()
+{
+   return sizeof(distributions) / sizeof(distributions[0]);
+}
+
+// Display name of i'th distribution:
+System::String^ any_distribution::distribution_name(int i)
+{
+   if(i >= size())
+      return "";
+   return gcnew System::String(distributions[i].name);
+}
+// Name of first distribution parameter, or null if not supported:
+System::String^ any_distribution::first_param_name(int i)
+{
+   if(i >= size())
+      return "";
+   return gcnew System::String(distributions[i].first_param);
+}
+// Name of second distribution parameter, or null if not supported:
+System::String^ any_distribution::second_param_name(int i)
+{
+   if(i >= size())
+      return "";
+   return gcnew System::String(distributions[i].second_param);
+}
+// Name of third distribution parameter, or null if not supported:
+System::String^ any_distribution::third_param_name(int i)
+{
+   if(i >= size())
+      return "";
+   return gcnew System::String(distributions[i].third_param);
+}
+// default value for first parameter:
+double any_distribution::first_param_default(int i)
+{
+   if(i >= size())
+      return 0;
+   return distributions[i].first_default;
+}
+// default value for second parameter:
+double any_distribution::second_param_default(int i)
+{
+   if(i >= size())
+      return 0;
+   return distributions[i].second_default;
+}
+// default value for third parameter:
+double any_distribution::third_param_default(int i)
+{
+   if(i >= size())
+      return 0;
+   return distributions[i].third_default;
+}
+
+} // namespace boost_math
+
+
diff --git a/src/boost/libs/math/dot_net_example/boost_math/boost_math.h b/src/boost/libs/math/dot_net_example/boost_math/boost_math.h
new file mode 100644
index 00000000..1f9b0156
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/boost_math.h
@@ -0,0 +1,331 @@
+// boost_math.h
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#define BOOST_MATH_OVERFLOW_ERROR_POLICY errno_on_error
+//#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+// These are now defined in project properties
+// "BOOST_MATH_ASSERT_UNDEFINED_POLICY=0"
+// "BOOST_MATH_OVERFLOW_ERROR_POLICY=errno_on_error"
+// to avoid complications with pre-compiled headers.
+
+#ifdef _MSC_VER
+#  pragma once
+#  pragma warning (disable : 4127)
+#endif
+
+using namespace System;
+
+#define TRANSLATE_EXCEPTIONS_BEGIN try{
+
+#define TRANSLATE_EXCEPTIONS_END \
+    }catch(const std::exception& e){  \
+        System::String^ s = gcnew System::String(e.what());\
+        InvalidOperationException^ se = gcnew InvalidOperationException(s);\
+        throw se;  \
+    }
+
+namespace boost_math {
+
+   class any_imp
+   {
+   public:
+     // Distribution properties.
+      virtual double mean()const = 0;
+      virtual double mode()const = 0;
+      virtual double median()const = 0;
+      virtual double variance()const = 0;
+      virtual double standard_deviation()const = 0;
+      virtual double skewness()const = 0;
+      virtual double kurtosis()const = 0;
+      virtual double kurtosis_excess()const = 0;
+      virtual double coefficient_of_variation()const = 0;
+      // Values computed from random variate x.
+      virtual double hazard(double x)const = 0;
+      virtual double chf(double x)const = 0;
+      virtual double cdf(double x)const = 0;
+      virtual double ccdf(double x)const = 0;
+      virtual double pdf(double x)const = 0;
+      virtual double quantile(double x)const = 0;
+      virtual double quantile_c(double x)const = 0;
+      // Range & support of x
+      virtual double lowest()const = 0;
+      virtual double uppermost()const = 0;
+      virtual double lower()const = 0;
+      virtual double upper()const = 0;
+   };
+
+   template <class Distribution>
+   class concrete_distribution : public any_imp
+   {
+   public:
+      concrete_distribution(const Distribution& d) : m_dist(d) {}
+      // Distribution properties.
+      virtual double mean()const
+      {
+         return boost::math::mean(m_dist);
+      }
+      virtual double median()const
+      {
+         return boost::math::median(m_dist);
+      }
+      virtual double mode()const
+      {
+         return boost::math::mode(m_dist);
+      }
+      virtual double variance()const
+      {
+         return boost::math::variance(m_dist);
+      }
+      virtual double skewness()const
+      {
+         return boost::math::skewness(m_dist);
+      }
+      virtual double standard_deviation()const
+      {
+         return boost::math::standard_deviation(m_dist);
+      }
+      virtual double coefficient_of_variation()const
+      {
+         return boost::math::coefficient_of_variation(m_dist);
+      }
+      virtual double kurtosis()const
+      {
+         return boost::math::kurtosis(m_dist);
+      }
+      virtual double kurtosis_excess()const
+      {
+         return boost::math::kurtosis_excess(m_dist);
+      }
+      // Range of x for the distribution.
+      virtual double lowest()const
+      {
+         return boost::math::range(m_dist).first;
+      }
+      virtual double uppermost()const
+      {
+         return boost::math::range(m_dist).second;
+      }
+      // Support of x for the distribution.
+      virtual double lower()const
+      {
+         return boost::math::support(m_dist).first;
+      }
+      virtual double upper()const
+      {
+         return boost::math::support(m_dist).second;
+      }
+
+      // Values computed from random variate x.
+      virtual double hazard(double x)const
+      {
+         return boost::math::hazard(m_dist, x);
+      }
+      virtual double chf(double x)const
+      {
+         return boost::math::chf(m_dist, x);
+      }
+      virtual double cdf(double x)const
+      {
+         return boost::math::cdf(m_dist, x);
+      }
+      virtual double ccdf(double x)const
+      {
+         return boost::math::cdf(complement(m_dist, x));
+      }
+      virtual double pdf(double x)const
+      {
+         return boost::math::pdf(m_dist, x);
+      }
+      virtual double quantile(double x)const
+      {
+         return boost::math::quantile(m_dist, x);
+      }
+      virtual double quantile_c(double x)const
+      {
+         return boost::math::quantile(complement(m_dist, x));
+      }
+   private:
+      Distribution m_dist;
+   };
+
+   public ref class any_distribution
+   {
+     public:
+      // Added methods for this class here.
+      any_distribution(int t, double arg1, double arg2, double arg3);
+      ~any_distribution()
+      {
+         reset(0);
+      }
+      // Is it OK for these to be inline?
+      // Distribution properties as 'pointer-to-implementions'.
+      double mean()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->mean();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double median()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->median();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double mode()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->mode();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double variance()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->variance();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double standard_deviation()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->standard_deviation();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double coefficient_of_variation()
+      { // aka Relative Standard deviation.
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->coefficient_of_variation();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double skewness()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->skewness();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double kurtosis()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->kurtosis();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double kurtosis_excess()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->kurtosis_excess();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      // Values computed from random variate x.
+      double hazard(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->hazard(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double chf(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->chf(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double cdf(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->cdf(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double ccdf(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->ccdf(x);
+         TRANSLATE_EXCEPTIONS_END
+     }
+      double pdf(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->pdf(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double quantile(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->quantile(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double quantile_c(double x)
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->quantile_c(x);
+         TRANSLATE_EXCEPTIONS_END
+      }
+
+      double lowest()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->lowest();
+         TRANSLATE_EXCEPTIONS_END
+      }
+
+      double uppermost()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->uppermost();
+         TRANSLATE_EXCEPTIONS_END
+      }
+
+      double lower()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->lower();
+         TRANSLATE_EXCEPTIONS_END
+      }
+      double upper()
+      {
+         TRANSLATE_EXCEPTIONS_BEGIN
+         return pimpl->upper();
+         TRANSLATE_EXCEPTIONS_END
+      }
+
+      // How many distributions are supported:
+      static int size();
+      // Display name of i'th distribution:
+      static System::String^ distribution_name(int i);
+      // Name of first distribution parameter, or null if not supported:
+      static System::String^ first_param_name(int i);
+      // Name of second distribution parameter, or null if not supported:
+      static System::String^ second_param_name(int i);
+      // Name of third distribution parameter, or null if not supported:
+      static System::String^ third_param_name(int i);
+      // Default value for first parameter:
+      static double first_param_default(int i);
+      // Default value for second parameter:
+      static double second_param_default(int i);
+      // Default value for third parameter:
+      static double third_param_default(int i);
+
+   private:
+      any_distribution(const any_distribution^)
+      { // Constructor is private.
+      }
+      const any_distribution^ operator=(const any_distribution^ d)
+      { // Copy Constructor is private too.
+         return d;
+      }
+      // We really should use a shared_ptr here, 
+      // but apparently it's not allowed in a managed class like this :-(
+      void reset(any_imp* p)
+      {
+         if(pimpl)
+         { // Exists already, so
+            delete pimpl;
+         }
+         pimpl = p;
+      }
+      any_imp* pimpl;
+   };
+}
diff --git a/src/boost/libs/math/dot_net_example/boost_math/boost_math.sln b/src/boost/libs/math/dot_net_example/boost_math/boost_math.sln
new file mode 100644
index 00000000..4730d9ef
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/boost_math/boost_math.sln
@@ -0,0 +1,31 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio 15
+VisualStudioVersion = 15.0.27130.2024
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "boost_math", "boost_math.vcxproj", "{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|x64 = Debug|x64
+		Debug|x86 = Debug|x86
+		Release|x64 = Release|x64
+		Release|x86 = Release|x86
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x64.ActiveCfg = Debug|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x64.Build.0 = Debug|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x86.ActiveCfg = Debug|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x86.Build.0 = Debug|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x64.ActiveCfg = Release|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x64.Build.0 = Release|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x86.ActiveCfg = Release|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x86.Build.0 = Release|Win32
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {3ECDFDBF-9C5F-4C39-B5E5-581C15299AD1}
+	EndGlobalSection
+EndGlobal
diff --git a/src/boost/libs/math/dot_net_example/boost_math/boost_math.vcxproj b/src/boost/libs/math/dot_net_example/boost_math/boost_math.vcxproj
new file mode 100644
index 00000000..65b7679a
--- /dev/null
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+        zaBtE85zSVUL9FP2ojHTonq1qrWXlnLhLljuiamgj4btgKy/c6h1MW8nNoVb5qACH5Xl9dgbOllH11uM
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+        aWW52D+nna/5tb4dw8L2Qn2OzWoWroLmlo599+Tw/drex8wVvZKjP6MthIOWaNoARBSFSKuubajea6lV
+        xtwrbiBnnMHSPMsOxlk3yVjtoxcE19Lt4G4khtyQnsuQDUtswwVkaw3Hfdt6D15TRXL0/wHYXYwXw5hb
+        FgAAAABJRU5ErkJggg==
+</value>
+  </data>
+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.Designer.cs
new file mode 100644
index 00000000..dc2740ae
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.Designer.cs
@@ -0,0 +1,193 @@
+namespace distribution_explorer
+{
+    partial class AboutDistributionExplorer
+    {
+        /// <summary>
+        /// Required designer variable.
+        /// </summary>
+        private System.ComponentModel.IContainer components = null;
+
+        /// <summary>
+        /// Clean up any resources being used.
+        /// </summary>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing && (components != null))
+            {
+                components.Dispose();
+            }
+            base.Dispose(disposing);
+        }
+
+        #region Windows Form Designer generated code
+
+        /// <summary>
+        /// Required method for Designer support - do not modify
+        /// the contents of this method with the code editor.
+        /// </summary>
+        private void InitializeComponent()
+        {
+            System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(AboutDistributionExplorer));
+            this.tableLayoutPanel = new System.Windows.Forms.TableLayoutPanel();
+            this.logoPictureBox = new System.Windows.Forms.PictureBox();
+            this.labelProductName = new System.Windows.Forms.Label();
+            this.labelVersion = new System.Windows.Forms.Label();
+            this.labelCopyright = new System.Windows.Forms.Label();
+            this.labelCompanyName = new System.Windows.Forms.Label();
+            this.textBoxDescription = new System.Windows.Forms.TextBox();
+            this.okButton = new System.Windows.Forms.Button();
+            this.tableLayoutPanel.SuspendLayout();
+            ((System.ComponentModel.ISupportInitialize)(this.logoPictureBox)).BeginInit();
+            this.SuspendLayout();
+            // 
+            // tableLayoutPanel
+            // 
+            this.tableLayoutPanel.ColumnCount = 2;
+            this.tableLayoutPanel.ColumnStyles.Add(new System.Windows.Forms.ColumnStyle(System.Windows.Forms.SizeType.Percent, 33F));
+            this.tableLayoutPanel.ColumnStyles.Add(new System.Windows.Forms.ColumnStyle(System.Windows.Forms.SizeType.Percent, 67F));
+            this.tableLayoutPanel.Controls.Add(this.logoPictureBox, 0, 0);
+            this.tableLayoutPanel.Controls.Add(this.labelProductName, 1, 0);
+            this.tableLayoutPanel.Controls.Add(this.labelVersion, 1, 1);
+            this.tableLayoutPanel.Controls.Add(this.labelCopyright, 1, 2);
+            this.tableLayoutPanel.Controls.Add(this.labelCompanyName, 1, 3);
+            this.tableLayoutPanel.Controls.Add(this.textBoxDescription, 1, 4);
+            this.tableLayoutPanel.Controls.Add(this.okButton, 1, 5);
+            this.tableLayoutPanel.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.tableLayoutPanel.Location = new System.Drawing.Point(12, 11);
+            this.tableLayoutPanel.Margin = new System.Windows.Forms.Padding(4, 4, 4, 4);
+            this.tableLayoutPanel.Name = "tableLayoutPanel";
+            this.tableLayoutPanel.RowCount = 6;
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 50F));
+            this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+            this.tableLayoutPanel.Size = new System.Drawing.Size(556, 326);
+            this.tableLayoutPanel.TabIndex = 0;
+            // 
+            // logoPictureBox
+            // 
+            this.logoPictureBox.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.logoPictureBox.Image = ((System.Drawing.Image)(resources.GetObject("logoPictureBox.Image")));
+            this.logoPictureBox.InitialImage = ((System.Drawing.Image)(resources.GetObject("logoPictureBox.InitialImage")));
+            this.logoPictureBox.Location = new System.Drawing.Point(4, 4);
+            this.logoPictureBox.Margin = new System.Windows.Forms.Padding(4, 4, 4, 4);
+            this.logoPictureBox.Name = "logoPictureBox";
+            this.tableLayoutPanel.SetRowSpan(this.logoPictureBox, 6);
+            this.logoPictureBox.Size = new System.Drawing.Size(175, 318);
+            this.logoPictureBox.SizeMode = System.Windows.Forms.PictureBoxSizeMode.StretchImage;
+            this.logoPictureBox.TabIndex = 12;
+            this.logoPictureBox.TabStop = false;
+            // 
+            // labelProductName
+            // 
+            this.labelProductName.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.labelProductName.Location = new System.Drawing.Point(191, 0);
+            this.labelProductName.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+            this.labelProductName.MaximumSize = new System.Drawing.Size(0, 21);
+            this.labelProductName.Name = "labelProductName";
+            this.labelProductName.Size = new System.Drawing.Size(361, 21);
+            this.labelProductName.TabIndex = 19;
+            this.labelProductName.Text = "Product Name Distribution Explorer";
+            this.labelProductName.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+            // 
+            // labelVersion
+            // 
+            this.labelVersion.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.labelVersion.Location = new System.Drawing.Point(191, 32);
+            this.labelVersion.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+            this.labelVersion.MaximumSize = new System.Drawing.Size(0, 21);
+            this.labelVersion.Name = "labelVersion";
+            this.labelVersion.Size = new System.Drawing.Size(361, 21);
+            this.labelVersion.TabIndex = 0;
+            this.labelVersion.Text = "Version 1.1";
+            this.labelVersion.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+            // 
+            // labelCopyright
+            // 
+            this.labelCopyright.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.labelCopyright.Location = new System.Drawing.Point(191, 64);
+            this.labelCopyright.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+            this.labelCopyright.MaximumSize = new System.Drawing.Size(0, 21);
+            this.labelCopyright.Name = "labelCopyright";
+            this.labelCopyright.Size = new System.Drawing.Size(361, 21);
+            this.labelCopyright.TabIndex = 21;
+            this.labelCopyright.Text = "Copyright John Maddock and Paul A. Bristow 2007";
+            this.labelCopyright.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+            // 
+            // labelCompanyName
+            // 
+            this.labelCompanyName.AutoSize = true;
+            this.labelCompanyName.Dock = System.Windows.Forms.DockStyle.Bottom;
+            this.labelCompanyName.Location = new System.Drawing.Point(191, 111);
+            this.labelCompanyName.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+            this.labelCompanyName.MaximumSize = new System.Drawing.Size(0, 21);
+            this.labelCompanyName.Name = "labelCompanyName";
+            this.labelCompanyName.Size = new System.Drawing.Size(361, 17);
+            this.labelCompanyName.TabIndex = 22;
+            this.labelCompanyName.Text = "Company Name";
+            this.labelCompanyName.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+            // 
+            // textBoxDescription
+            // 
+            this.textBoxDescription.Dock = System.Windows.Forms.DockStyle.Fill;
+            this.textBoxDescription.Location = new System.Drawing.Point(191, 132);
+            this.textBoxDescription.Margin = new System.Windows.Forms.Padding(8, 4, 4, 4);
+            this.textBoxDescription.Multiline = true;
+            this.textBoxDescription.Name = "textBoxDescription";
+            this.textBoxDescription.ReadOnly = true;
+            this.textBoxDescription.ScrollBars = System.Windows.Forms.ScrollBars.Both;
+            this.textBoxDescription.Size = new System.Drawing.Size(361, 155);
+            this.textBoxDescription.TabIndex = 23;
+            this.textBoxDescription.TabStop = false;
+            this.textBoxDescription.Text = resources.GetString("textBoxDescription.Text");
+            // 
+            // okButton
+            // 
+            this.okButton.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Bottom | System.Windows.Forms.AnchorStyles.Right)));
+            this.okButton.DialogResult = System.Windows.Forms.DialogResult.Cancel;
+            this.okButton.Location = new System.Drawing.Point(452, 295);
+            this.okButton.Margin = new System.Windows.Forms.Padding(4, 4, 4, 4);
+            this.okButton.Name = "okButton";
+            this.okButton.Size = new System.Drawing.Size(100, 27);
+            this.okButton.TabIndex = 24;
+            this.okButton.Text = "&OK";
+            // 
+            // AboutDistributionExplorer
+            // 
+            this.AcceptButton = this.okButton;
+            this.AutoScaleDimensions = new System.Drawing.SizeF(8F, 16F);
+            this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
+            this.ClientSize = new System.Drawing.Size(580, 348);
+            this.Controls.Add(this.tableLayoutPanel);
+            this.FormBorderStyle = System.Windows.Forms.FormBorderStyle.FixedDialog;
+            this.Icon = ((System.Drawing.Icon)(resources.GetObject("$this.Icon")));
+            this.Margin = new System.Windows.Forms.Padding(4, 4, 4, 4);
+            this.MaximizeBox = false;
+            this.MinimizeBox = false;
+            this.Name = "AboutDistributionExplorer";
+            this.Padding = new System.Windows.Forms.Padding(12, 11, 12, 11);
+            this.ShowIcon = false;
+            this.ShowInTaskbar = false;
+            this.StartPosition = System.Windows.Forms.FormStartPosition.CenterParent;
+            this.Text = "AboutDistributionExplorer";
+            this.tableLayoutPanel.ResumeLayout(false);
+            this.tableLayoutPanel.PerformLayout();
+            ((System.ComponentModel.ISupportInitialize)(this.logoPictureBox)).EndInit();
+            this.ResumeLayout(false);
+
+        }
+
+        #endregion
+
+        private System.Windows.Forms.TableLayoutPanel tableLayoutPanel;
+        private System.Windows.Forms.PictureBox logoPictureBox;
+        private System.Windows.Forms.Label labelProductName;
+        private System.Windows.Forms.Label labelVersion;
+        private System.Windows.Forms.Label labelCopyright;
+        private System.Windows.Forms.Label labelCompanyName;
+        private System.Windows.Forms.TextBox textBoxDescription;
+        private System.Windows.Forms.Button okButton;
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.cs
new file mode 100644
index 00000000..3db49d9f
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.cs
@@ -0,0 +1,115 @@
+using System;
+using System.Collections.Generic;
+using System.ComponentModel;
+using System.Drawing;
+using System.Windows.Forms;
+using System.Reflection;
+
+namespace distribution_explorer
+{
+    partial class AboutDistributionExplorer : Form
+    {
+        public AboutDistributionExplorer()
+        {
+            InitializeComponent();
+
+            //  Initialize the AboutBox to display the product information from the assembly information.
+            //  Change assembly information settings for your application through either:
+            //  - Project->Properties->Application->Assembly Information
+            //  - AssemblyInfo.cs
+            this.Text = String.Format("About {0}", AssemblyTitle);
+            this.labelProductName.Text = AssemblyProduct;
+            this.labelVersion.Text = String.Format("Version {0}", AssemblyVersion);
+            this.labelCopyright.Text = AssemblyCopyright;
+            this.labelCompanyName.Text = AssemblyCompany;
+            this.textBoxDescription.Text = AssemblyDescription;
+        }
+
+        #region Assembly Attribute Accessors
+
+        public string AssemblyTitle
+        {
+            get
+            {
+                // Get all Title attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyTitleAttribute), false);
+                // If there is at least one Title attribute
+                if (attributes.Length > 0)
+                {
+                    // Select the first one
+                    AssemblyTitleAttribute titleAttribute = (AssemblyTitleAttribute)attributes[0];
+                    // If it is not an empty string, return it
+                    if (titleAttribute.Title != "")
+                        return titleAttribute.Title;
+                }
+                // If there was no Title attribute, or if the Title attribute was the empty string, return the .exe name
+                return System.IO.Path.GetFileNameWithoutExtension(Assembly.GetExecutingAssembly().CodeBase);
+            }
+        }
+
+        public string AssemblyVersion
+        {
+            get
+            {
+                return Assembly.GetExecutingAssembly().GetName().Version.ToString();
+            }
+        }
+
+        public string AssemblyDescription
+        {
+            get
+            {
+                // Get all Description attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyDescriptionAttribute), false);
+                // If there aren't any Description attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Description attribute, return its value
+                return ((AssemblyDescriptionAttribute)attributes[0]).Description;
+            }
+        }
+
+        public string AssemblyProduct
+        {
+            get
+            {
+                // Get all Product attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyProductAttribute), false);
+                // If there aren't any Product attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Product attribute, return its value
+                return ((AssemblyProductAttribute)attributes[0]).Product;
+            }
+        }
+
+        public string AssemblyCopyright
+        {
+            get
+            {
+                // Get all Copyright attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCopyrightAttribute), false);
+                // If there aren't any Copyright attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Copyright attribute, return its value
+                return ((AssemblyCopyrightAttribute)attributes[0]).Copyright;
+            }
+        }
+
+        public string AssemblyCompany
+        {
+            get
+            {
+                // Get all Company attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCompanyAttribute), false);
+                // If there aren't any Company attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Company attribute, return its value
+                return ((AssemblyCompanyAttribute)attributes[0]).Company;
+            }
+        }
+        #endregion
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.resx b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.resx
new file mode 100644
index 00000000..8642ec38
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/AboutDistributionExplorer.resx
@@ -0,0 +1,781 @@
+<?xml version="1.0" encoding="utf-8"?>
+<root>
+  <!-- 
+    Microsoft ResX Schema 
+    
+    Version 2.0
+    
+    The primary goals of this format is to allow a simple XML format 
+    that is mostly human readable. The generation and parsing of the 
+    various data types are done through the TypeConverter classes 
+    associated with the data types.
+    
+    Example:
+    
+    ... ado.net/XML headers & schema ...
+    <resheader name="resmimetype">text/microsoft-resx</resheader>
+    <resheader name="version">2.0</resheader>
+    <resheader name="reader">System.Resources.ResXResourceReader, System.Windows.Forms, ...</resheader>
+    <resheader name="writer">System.Resources.ResXResourceWriter, System.Windows.Forms, ...</resheader>
+    <data name="Name1"><value>this is my long string</value><comment>this is a comment</comment></data>
+    <data name="Color1" type="System.Drawing.Color, System.Drawing">Blue</data>
+    <data name="Bitmap1" mimetype="application/x-microsoft.net.object.binary.base64">
+        <value>[base64 mime encoded serialized .NET Framework object]</value>
+    </data>
+    <data name="Icon1" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+        <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
+        <comment>This is a comment</comment>
+    </data>
+                
+    There are any number of "resheader" rows that contain simple 
+    name/value pairs.
+    
+    Each data row contains a name, and value. The row also contains a 
+    type or mimetype. Type corresponds to a .NET class that support 
+    text/value conversion through the TypeConverter architecture. 
+    Classes that don't support this are serialized and stored with the 
+    mimetype set.
+    
+    The mimetype is used for serialized objects, and tells the 
+    ResXResourceReader how to depersist the object. This is currently not 
+    extensible. For a given mimetype the value must be set accordingly:
+    
+    Note - application/x-microsoft.net.object.binary.base64 is the format 
+    that the ResXResourceWriter will generate, however the reader can 
+    read any of the formats listed below.
+    
+    mimetype: application/x-microsoft.net.object.binary.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
+            : and then encoded with base64 encoding.
+    
+    mimetype: application/x-microsoft.net.object.soap.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
+            : and then encoded with base64 encoding.
+
+    mimetype: application/x-microsoft.net.object.bytearray.base64
+    value   : The object must be serialized into a byte array 
+            : using a System.ComponentModel.TypeConverter
+            : and then encoded with base64 encoding.
+    -->
+  <xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
+    <xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
+    <xsd:element name="root" msdata:IsDataSet="true">
+      <xsd:complexType>
+        <xsd:choice maxOccurs="unbounded">
+          <xsd:element name="metadata">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" />
+              </xsd:sequence>
+              <xsd:attribute name="name" use="required" type="xsd:string" />
+              <xsd:attribute name="type" type="xsd:string" />
+              <xsd:attribute name="mimetype" type="xsd:string" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="assembly">
+            <xsd:complexType>
+              <xsd:attribute name="alias" type="xsd:string" />
+              <xsd:attribute name="name" type="xsd:string" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="data">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+                <xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
+              <xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
+              <xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="resheader">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" />
+            </xsd:complexType>
+          </xsd:element>
+        </xsd:choice>
+      </xsd:complexType>
+    </xsd:element>
+  </xsd:schema>
+  <resheader name="resmimetype">
+    <value>text/microsoft-resx</value>
+  </resheader>
+  <resheader name="version">
+    <value>2.0</value>
+  </resheader>
+  <resheader name="reader">
+    <value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <resheader name="writer">
+    <value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <assembly alias="System.Drawing" name="System.Drawing, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a" />
+  <data name="logoPictureBox.Image" type="System.Drawing.Bitmap, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+    <value>
+        Qk02YwAAAAAAADYAAAAoAAAAYAAAAFgAAAABABgAAAAAAAAAAAB0EgAAdBIAAAAAAAAAAAAA////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
+        ////////////////////////////////////////////////////////////////////////////////
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+        FgAAAABJRU5ErkJggg==
+</value>
+  </data>
+  <data name="textBoxDescription.Text" xml:space="preserve">
+    <value>Description: Statistical Distribution Explorer.
+Allows calculation, display and save to file
+of a wide variety of statistical distributions
+with given parameters and values of random variate,
+Probability Density, Cumulative Distribution, complement,
+and quantiles and critical values.
+</value>
+  </data>
+  <data name="$this.Icon" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+    <value>
+        AAABAAIAEBAQAAAABAAoAQAAJgAAACAgEAAAAAQA6AIAAE4BAAAoAAAAEAAAACAAAAABAAQAAAAAAMAA
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+        AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
+        AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==
+</value>
+  </data>
+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/App.config b/src/boost/libs/math/dot_net_example/distribution_explorer/App.config
new file mode 100644
index 00000000..49cc43e1
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/App.config
@@ -0,0 +1,3 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<configuration>
+</configuration>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram1.cd b/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram1.cd
new file mode 100644
index 00000000..b6a6fb0d
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram1.cd
@@ -0,0 +1,11 @@
+<?xml version="1.0" encoding="utf-8"?>
+<ClassDiagram MajorVersion="1" MinorVersion="1">
+  <Font Name="Tahoma" Size="8.4" />
+  <Class Name="distribution_explorer.distexSplash" Collapsed="true">
+    <Position X="0.5" Y="0.5" Width="1.5" />
+    <TypeIdentifier>
+      <FileName>DistexSplash.cs</FileName>
+      <HashCode>AAAAAACAACAAABQAAACAAAACAAAAAAAAAAAAAAAAAIA=</HashCode>
+    </TypeIdentifier>
+  </Class>
+</ClassDiagram>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram2.cd b/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram2.cd
new file mode 100644
index 00000000..0519ecba
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/ClassDiagram2.cd
@@ -0,0 +1 @@
+ 
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.Designer.cs
new file mode 100644
index 00000000..62106a83
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.Designer.cs
@@ -0,0 +1,1094 @@
+namespace distribution_explorer
+{
+    partial class DistexForm
+    {
+        /// <summary>
+        /// Required designer variable.
+        /// </summary>
+        private System.ComponentModel.IContainer components = null;
+
+        /// <summary>
+        /// Clean up any resources being used.
+        /// </summary>
+        /// <param name="disposing">true if managed resources should be disposed; otherwise, false.</param>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing && (components != null))
+            {
+                components.Dispose();
+            }
+            base.Dispose(disposing);
+        }
+
+        #region Windows Form Designer generated code
+
+        /// <summary>
+        /// Required method for Designer support - do not modify
+        /// the contents of this method with the code editor.
+        /// </summary>
+        private void InitializeComponent()
+        {
+          this.components = new System.ComponentModel.Container();
+          System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(DistexForm));
+          this.modeLabel = new System.Windows.Forms.Label();
+          this.propertiesTab = new System.Windows.Forms.TabControl();
+          this.DistributionTab = new System.Windows.Forms.TabPage();
+          this.parameter3 = new System.Windows.Forms.TextBox();
+          this.parameter3Label = new System.Windows.Forms.Label();
+          this.distributionNameLabel = new System.Windows.Forms.Label();
+          this.parameter2Label = new System.Windows.Forms.Label();
+          this.parameter1Label = new System.Windows.Forms.Label();
+          this.parameter2 = new System.Windows.Forms.TextBox();
+          this.parameter1 = new System.Windows.Forms.TextBox();
+          this.distribution = new System.Windows.Forms.ComboBox();
+          this.PropertiesTabPage = new System.Windows.Forms.TabPage();
+          this.toLabel2 = new System.Windows.Forms.Label();
+          this.toLabel1 = new System.Windows.Forms.Label();
+          this.supportUpperLabel = new System.Windows.Forms.Label();
+          this.supportLowerLabel = new System.Windows.Forms.Label();
+          this.supportLabel = new System.Windows.Forms.Label();
+          this.rangeGreatestLabel = new System.Windows.Forms.Label();
+          this.rangeLowestLabel = new System.Windows.Forms.Label();
+          this.rangeLabel = new System.Windows.Forms.Label();
+          this.parameter3ValueLabel = new System.Windows.Forms.Label();
+          this.parameter2ValueLabel = new System.Windows.Forms.Label();
+          this.parameter1ValueLabel = new System.Windows.Forms.Label();
+          this.distributionValueLabel = new System.Windows.Forms.Label();
+          this.parameterLabel3 = new System.Windows.Forms.Label();
+          this.parameterLabel2 = new System.Windows.Forms.Label();
+          this.parameterLabel1 = new System.Windows.Forms.Label();
+          this.DistributionLabel = new System.Windows.Forms.Label();
+          this.coefficient_of_variation = new System.Windows.Forms.Label();
+          this.CVlabel = new System.Windows.Forms.Label();
+          this.kurtosis_excess = new System.Windows.Forms.Label();
+          this.kurtosisExcessLabel = new System.Windows.Forms.Label();
+          this.kurtosis = new System.Windows.Forms.Label();
+          this.kurtosisLabel = new System.Windows.Forms.Label();
+          this.skewness = new System.Windows.Forms.Label();
+          this.skewnessLabel = new System.Windows.Forms.Label();
+          this.median = new System.Windows.Forms.Label();
+          this.standard_deviation = new System.Windows.Forms.Label();
+          this.stddevLabel = new System.Windows.Forms.Label();
+          this.variance = new System.Windows.Forms.Label();
+          this.varianceLabel = new System.Windows.Forms.Label();
+          this.medianLabel = new System.Windows.Forms.Label();
+          this.mode = new System.Windows.Forms.Label();
+          this.mean = new System.Windows.Forms.Label();
+          this.meanLabel = new System.Windows.Forms.Label();
+          this.cdfTabPage = new System.Windows.Forms.TabPage();
+          this.CDF_data = new System.Windows.Forms.DataGridView();
+          this.RandomVariable = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.PDF = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.CDF = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.CCDF = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.QuantileTabPage = new System.Windows.Forms.TabPage();
+          this.QuantileData = new System.Windows.Forms.DataGridView();
+          this.RiskLevel = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.LowerCriticalValue = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.UpperCriticalValue = new System.Windows.Forms.DataGridViewTextBoxColumn();
+          this.menuStrip1 = new System.Windows.Forms.MenuStrip();
+          this.fileToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.newToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.openToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator = new System.Windows.Forms.ToolStripSeparator();
+          this.saveToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator1 = new System.Windows.Forms.ToolStripSeparator();
+          this.printToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.printPreviewToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator2 = new System.Windows.Forms.ToolStripSeparator();
+          this.exitToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.editToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.undoToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.redoToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator3 = new System.Windows.Forms.ToolStripSeparator();
+          this.cutToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.copyToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.pasteToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator4 = new System.Windows.Forms.ToolStripSeparator();
+          this.selectAllToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.helpToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.contentsToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolStripSeparator5 = new System.Windows.Forms.ToolStripSeparator();
+          this.aboutToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.customizeToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem();
+          this.toolTip1 = new System.Windows.Forms.ToolTip(this.components);
+          this.saveFileDialog = new System.Windows.Forms.SaveFileDialog();
+          this.propertiesTab.SuspendLayout();
+          this.DistributionTab.SuspendLayout();
+          this.PropertiesTabPage.SuspendLayout();
+          this.cdfTabPage.SuspendLayout();
+          ((System.ComponentModel.ISupportInitialize)(this.CDF_data)).BeginInit();
+          this.QuantileTabPage.SuspendLayout();
+          ((System.ComponentModel.ISupportInitialize)(this.QuantileData)).BeginInit();
+          this.menuStrip1.SuspendLayout();
+          this.SuspendLayout();
+          // 
+          // modeLabel
+          // 
+          this.modeLabel.AutoSize = true;
+          this.modeLabel.Location = new System.Drawing.Point(45, 197);
+          this.modeLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.modeLabel.Name = "modeLabel";
+          this.modeLabel.Size = new System.Drawing.Size(44, 18);
+          this.modeLabel.TabIndex = 0;
+          this.modeLabel.Text = "Mode";
+          // 
+          // propertiesTab
+          // 
+          this.propertiesTab.AccessibleDescription = "Statistical distribution properties tab";
+          this.propertiesTab.AccessibleName = "Properties tab";
+          this.propertiesTab.Controls.Add(this.DistributionTab);
+          this.propertiesTab.Controls.Add(this.PropertiesTabPage);
+          this.propertiesTab.Controls.Add(this.cdfTabPage);
+          this.propertiesTab.Controls.Add(this.QuantileTabPage);
+          this.propertiesTab.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.propertiesTab.Font = new System.Drawing.Font("Tahoma", 8.400001F);
+          this.propertiesTab.Location = new System.Drawing.Point(0, 26);
+          this.propertiesTab.Margin = new System.Windows.Forms.Padding(4);
+          this.propertiesTab.Name = "propertiesTab";
+          this.propertiesTab.SelectedIndex = 0;
+          this.propertiesTab.ShowToolTips = true;
+          this.propertiesTab.Size = new System.Drawing.Size(642, 585);
+          this.propertiesTab.TabIndex = 0;
+          this.propertiesTab.Deselecting += new System.Windows.Forms.TabControlCancelEventHandler(this.properties_tab_Deselecting);
+          this.propertiesTab.SelectedIndexChanged += new System.EventHandler(this.properties_tab_SelectedIndexChanged);
+          // 
+          // DistributionTab
+          // 
+          this.DistributionTab.AccessibleDescription = "Distribution Tab";
+          this.DistributionTab.AccessibleName = "DistributionTab";
+          this.DistributionTab.BackColor = System.Drawing.SystemColors.Control;
+          this.DistributionTab.Controls.Add(this.parameter3);
+          this.DistributionTab.Controls.Add(this.parameter3Label);
+          this.DistributionTab.Controls.Add(this.distributionNameLabel);
+          this.DistributionTab.Controls.Add(this.parameter2Label);
+          this.DistributionTab.Controls.Add(this.parameter1Label);
+          this.DistributionTab.Controls.Add(this.parameter2);
+          this.DistributionTab.Controls.Add(this.parameter1);
+          this.DistributionTab.Controls.Add(this.distribution);
+          this.DistributionTab.Location = new System.Drawing.Point(4, 26);
+          this.DistributionTab.Margin = new System.Windows.Forms.Padding(700, 4, 4, 4);
+          this.DistributionTab.Name = "DistributionTab";
+          this.DistributionTab.Padding = new System.Windows.Forms.Padding(4);
+          this.DistributionTab.Size = new System.Drawing.Size(634, 555);
+          this.DistributionTab.TabIndex = 0;
+          this.DistributionTab.Text = "Distribution";
+          this.DistributionTab.ToolTipText = "Choose the Statistical Distribution and provide parameter(s)";
+          this.DistributionTab.UseVisualStyleBackColor = true;
+          this.DistributionTab.Click += new System.EventHandler(this.tabPage1_Click);
+          // 
+          // parameter3
+          // 
+          this.parameter3.Location = new System.Drawing.Point(200, 232);
+          this.parameter3.Name = "parameter3";
+          this.parameter3.Size = new System.Drawing.Size(341, 24);
+          this.parameter3.TabIndex = 6;
+          // 
+          // parameter3Label
+          // 
+          this.parameter3Label.AutoSize = true;
+          this.parameter3Label.Location = new System.Drawing.Point(31, 232);
+          this.parameter3Label.Name = "parameter3Label";
+          this.parameter3Label.Size = new System.Drawing.Size(170, 18);
+          this.parameter3Label.TabIndex = 5;
+          this.parameter3Label.Text = "Parameter 3 (if required)";
+          this.parameter3Label.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+          this.toolTip1.SetToolTip(this.parameter3Label, "Enter value of 3nd Parameter of the chosen distribution");
+          // 
+          // distributionNameLabel
+          // 
+          this.distributionNameLabel.AutoSize = true;
+          this.distributionNameLabel.Location = new System.Drawing.Point(31, 58);
+          this.distributionNameLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.distributionNameLabel.Name = "distributionNameLabel";
+          this.distributionNameLabel.Size = new System.Drawing.Size(78, 18);
+          this.distributionNameLabel.TabIndex = 2;
+          this.distributionNameLabel.Text = "Distribution";
+          this.distributionNameLabel.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+          // 
+          // parameter2Label
+          // 
+          this.parameter2Label.AutoSize = true;
+          this.parameter2Label.Location = new System.Drawing.Point(28, 174);
+          this.parameter2Label.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.parameter2Label.Name = "parameter2Label";
+          this.parameter2Label.Size = new System.Drawing.Size(170, 18);
+          this.parameter2Label.TabIndex = 4;
+          this.parameter2Label.Text = "Parameter 2 (if required)";
+          this.parameter2Label.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+          this.toolTip1.SetToolTip(this.parameter2Label, "Enter value of 2nd Parameter of the chosen distribution");
+          // 
+          // parameter1Label
+          // 
+          this.parameter1Label.AutoSize = true;
+          this.parameter1Label.ForeColor = System.Drawing.Color.Black;
+          this.parameter1Label.Location = new System.Drawing.Point(28, 116);
+          this.parameter1Label.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.parameter1Label.Name = "parameter1Label";
+          this.parameter1Label.Size = new System.Drawing.Size(89, 18);
+          this.parameter1Label.TabIndex = 3;
+          this.parameter1Label.Text = "Parameter 1";
+          this.parameter1Label.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+          // 
+          // parameter2
+          // 
+          this.parameter2.Location = new System.Drawing.Point(200, 171);
+          this.parameter2.Margin = new System.Windows.Forms.Padding(4);
+          this.parameter2.Name = "parameter2";
+          this.parameter2.Size = new System.Drawing.Size(341, 24);
+          this.parameter2.TabIndex = 2;
+          // 
+          // parameter1
+          // 
+          this.parameter1.Location = new System.Drawing.Point(200, 110);
+          this.parameter1.Margin = new System.Windows.Forms.Padding(4);
+          this.parameter1.Name = "parameter1";
+          this.parameter1.Size = new System.Drawing.Size(341, 24);
+          this.parameter1.TabIndex = 1;
+          // 
+          // distribution
+          // 
+          this.distribution.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList;
+          this.distribution.FormattingEnabled = true;
+          this.distribution.Location = new System.Drawing.Point(200, 51);
+          this.distribution.Margin = new System.Windows.Forms.Padding(4);
+          this.distribution.MaxDropDownItems = 20;
+          this.distribution.Name = "distribution";
+          this.distribution.Size = new System.Drawing.Size(341, 25);
+          this.distribution.TabIndex = 0;
+          this.distribution.SelectedIndexChanged += new System.EventHandler(this.distribution_SelectedIndexChanged);
+          // 
+          // PropertiesTabPage
+          // 
+          this.PropertiesTabPage.AccessibleDescription = "Show properties of distribution ";
+          this.PropertiesTabPage.AccessibleName = "PropertiesTabPage";
+          this.PropertiesTabPage.AccessibleRole = System.Windows.Forms.AccessibleRole.None;
+          this.PropertiesTabPage.BackColor = System.Drawing.SystemColors.Control;
+          this.PropertiesTabPage.Controls.Add(this.toLabel2);
+          this.PropertiesTabPage.Controls.Add(this.toLabel1);
+          this.PropertiesTabPage.Controls.Add(this.supportUpperLabel);
+          this.PropertiesTabPage.Controls.Add(this.supportLowerLabel);
+          this.PropertiesTabPage.Controls.Add(this.supportLabel);
+          this.PropertiesTabPage.Controls.Add(this.rangeGreatestLabel);
+          this.PropertiesTabPage.Controls.Add(this.rangeLowestLabel);
+          this.PropertiesTabPage.Controls.Add(this.rangeLabel);
+          this.PropertiesTabPage.Controls.Add(this.parameter3ValueLabel);
+          this.PropertiesTabPage.Controls.Add(this.parameter2ValueLabel);
+          this.PropertiesTabPage.Controls.Add(this.parameter1ValueLabel);
+          this.PropertiesTabPage.Controls.Add(this.distributionValueLabel);
+          this.PropertiesTabPage.Controls.Add(this.parameterLabel3);
+          this.PropertiesTabPage.Controls.Add(this.parameterLabel2);
+          this.PropertiesTabPage.Controls.Add(this.parameterLabel1);
+          this.PropertiesTabPage.Controls.Add(this.DistributionLabel);
+          this.PropertiesTabPage.Controls.Add(this.coefficient_of_variation);
+          this.PropertiesTabPage.Controls.Add(this.CVlabel);
+          this.PropertiesTabPage.Controls.Add(this.kurtosis_excess);
+          this.PropertiesTabPage.Controls.Add(this.kurtosisExcessLabel);
+          this.PropertiesTabPage.Controls.Add(this.kurtosis);
+          this.PropertiesTabPage.Controls.Add(this.kurtosisLabel);
+          this.PropertiesTabPage.Controls.Add(this.skewness);
+          this.PropertiesTabPage.Controls.Add(this.skewnessLabel);
+          this.PropertiesTabPage.Controls.Add(this.median);
+          this.PropertiesTabPage.Controls.Add(this.standard_deviation);
+          this.PropertiesTabPage.Controls.Add(this.stddevLabel);
+          this.PropertiesTabPage.Controls.Add(this.variance);
+          this.PropertiesTabPage.Controls.Add(this.varianceLabel);
+          this.PropertiesTabPage.Controls.Add(this.medianLabel);
+          this.PropertiesTabPage.Controls.Add(this.mode);
+          this.PropertiesTabPage.Controls.Add(this.modeLabel);
+          this.PropertiesTabPage.Controls.Add(this.mean);
+          this.PropertiesTabPage.Controls.Add(this.meanLabel);
+          this.PropertiesTabPage.ForeColor = System.Drawing.SystemColors.WindowText;
+          this.PropertiesTabPage.Location = new System.Drawing.Point(4, 26);
+          this.PropertiesTabPage.Margin = new System.Windows.Forms.Padding(4);
+          this.PropertiesTabPage.Name = "PropertiesTabPage";
+          this.PropertiesTabPage.Padding = new System.Windows.Forms.Padding(4);
+          this.PropertiesTabPage.Size = new System.Drawing.Size(634, 555);
+          this.PropertiesTabPage.TabIndex = 1;
+          this.PropertiesTabPage.Text = "Properties";
+          this.PropertiesTabPage.ToolTipText = "Shows properties of chosen distribution.";
+          this.PropertiesTabPage.UseVisualStyleBackColor = true;
+          this.PropertiesTabPage.Enter += new System.EventHandler(this.tabPage2_Enter);
+          // 
+          // toLabel2
+          // 
+          this.toLabel2.AutoSize = true;
+          this.toLabel2.Location = new System.Drawing.Point(384, 483);
+          this.toLabel2.Name = "toLabel2";
+          this.toLabel2.Size = new System.Drawing.Size(21, 18);
+          this.toLabel2.TabIndex = 25;
+          this.toLabel2.Text = "to";
+          // 
+          // toLabel1
+          // 
+          this.toLabel1.AutoSize = true;
+          this.toLabel1.Location = new System.Drawing.Point(384, 449);
+          this.toLabel1.Name = "toLabel1";
+          this.toLabel1.Size = new System.Drawing.Size(21, 18);
+          this.toLabel1.TabIndex = 24;
+          this.toLabel1.Text = "to";
+          // 
+          // supportUpperLabel
+          // 
+          this.supportUpperLabel.AutoSize = true;
+          this.supportUpperLabel.Location = new System.Drawing.Point(411, 483);
+          this.supportUpperLabel.Name = "supportUpperLabel";
+          this.supportUpperLabel.Size = new System.Drawing.Size(131, 18);
+          this.supportUpperLabel.TabIndex = 23;
+          this.supportUpperLabel.Text = "supportUpperValue";
+          this.toolTip1.SetToolTip(this.supportUpperLabel, "PDF and CDF are unity for x argument values greater than this value.");
+          // 
+          // supportLowerLabel
+          // 
+          this.supportLowerLabel.AutoSize = true;
+          this.supportLowerLabel.Location = new System.Drawing.Point(207, 483);
+          this.supportLowerLabel.Name = "supportLowerLabel";
+          this.supportLowerLabel.Size = new System.Drawing.Size(130, 18);
+          this.supportLowerLabel.TabIndex = 22;
+          this.supportLowerLabel.Text = "supportLowerValue";
+          this.toolTip1.SetToolTip(this.supportLowerLabel, "PDF and CDF are zero for values of argument X less than this value.");
+          // 
+          // supportLabel
+          // 
+          this.supportLabel.AutoSize = true;
+          this.supportLabel.Location = new System.Drawing.Point(45, 483);
+          this.supportLabel.Name = "supportLabel";
+          this.supportLabel.Size = new System.Drawing.Size(74, 18);
+          this.supportLabel.TabIndex = 21;
+          this.supportLabel.Text = "Supported";
+          this.toolTip1.SetToolTip(this.supportLabel, "Range over which pdf  is >0 but not yet =1");
+          // 
+          // rangeGreatestLabel
+          // 
+          this.rangeGreatestLabel.AutoSize = true;
+          this.rangeGreatestLabel.Location = new System.Drawing.Point(411, 449);
+          this.rangeGreatestLabel.Name = "rangeGreatestLabel";
+          this.rangeGreatestLabel.Size = new System.Drawing.Size(136, 18);
+          this.rangeGreatestLabel.TabIndex = 20;
+          this.rangeGreatestLabel.Text = "rangeGreatestValue";
+          this.toolTip1.SetToolTip(this.rangeGreatestLabel, "Greatest argument X for calculating PDF and CDF.");
+          // 
+          // rangeLowestLabel
+          // 
+          this.rangeLowestLabel.AllowDrop = true;
+          this.rangeLowestLabel.AutoSize = true;
+          this.rangeLowestLabel.Location = new System.Drawing.Point(207, 449);
+          this.rangeLowestLabel.Name = "rangeLowestLabel";
+          this.rangeLowestLabel.Size = new System.Drawing.Size(125, 18);
+          this.rangeLowestLabel.TabIndex = 19;
+          this.rangeLowestLabel.Text = "rangeLowestValue";
+          this.toolTip1.SetToolTip(this.rangeLowestLabel, "Lowest argument X for calculating PDF and CDF.");
+          // 
+          // rangeLabel
+          // 
+          this.rangeLabel.AutoSize = true;
+          this.rangeLabel.Location = new System.Drawing.Point(45, 449);
+          this.rangeLabel.Name = "rangeLabel";
+          this.rangeLabel.Size = new System.Drawing.Size(49, 18);
+          this.rangeLabel.TabIndex = 18;
+          this.rangeLabel.Text = "Range";
+          this.toolTip1.SetToolTip(this.rangeLabel, "Lowest and greatest possible value of x argument for PDF & CDF.");
+          // 
+          // parameter3ValueLabel
+          // 
+          this.parameter3ValueLabel.AutoSize = true;
+          this.parameter3ValueLabel.Location = new System.Drawing.Point(204, 118);
+          this.parameter3ValueLabel.Name = "parameter3ValueLabel";
+          this.parameter3ValueLabel.Size = new System.Drawing.Size(128, 18);
+          this.parameter3ValueLabel.TabIndex = 17;
+          this.parameter3ValueLabel.Text = "parameter 3 value";
+          this.toolTip1.SetToolTip(this.parameter3ValueLabel, "Show 3rd parameter provided (if any).");
+          // 
+          // parameter2ValueLabel
+          // 
+          this.parameter2ValueLabel.AutoSize = true;
+          this.parameter2ValueLabel.Location = new System.Drawing.Point(204, 87);
+          this.parameter2ValueLabel.Name = "parameter2ValueLabel";
+          this.parameter2ValueLabel.Size = new System.Drawing.Size(128, 18);
+          this.parameter2ValueLabel.TabIndex = 16;
+          this.parameter2ValueLabel.Text = "parameter 2 value";
+          this.toolTip1.SetToolTip(this.parameter2ValueLabel, "Show 2nd parameter provided (if any).");
+          // 
+          // parameter1ValueLabel
+          // 
+          this.parameter1ValueLabel.AutoSize = true;
+          this.parameter1ValueLabel.Location = new System.Drawing.Point(204, 54);
+          this.parameter1ValueLabel.Name = "parameter1ValueLabel";
+          this.parameter1ValueLabel.Size = new System.Drawing.Size(128, 18);
+          this.parameter1ValueLabel.TabIndex = 15;
+          this.parameter1ValueLabel.Text = "parameter 1 value";
+          this.toolTip1.SetToolTip(this.parameter1ValueLabel, "Show 1st parameter provided.");
+          // 
+          // distributionValueLabel
+          // 
+          this.distributionValueLabel.AutoSize = true;
+          this.distributionValueLabel.Location = new System.Drawing.Point(204, 24);
+          this.distributionValueLabel.Name = "distributionValueLabel";
+          this.distributionValueLabel.Size = new System.Drawing.Size(118, 18);
+          this.distributionValueLabel.TabIndex = 14;
+          this.distributionValueLabel.Text = "distribution name";
+          this.toolTip1.SetToolTip(this.distributionValueLabel, "Show name of chosen distribution");
+          // 
+          // parameterLabel3
+          // 
+          this.parameterLabel3.AutoSize = true;
+          this.parameterLabel3.Location = new System.Drawing.Point(45, 118);
+          this.parameterLabel3.Name = "parameterLabel3";
+          this.parameterLabel3.Size = new System.Drawing.Size(142, 18);
+          this.parameterLabel3.TabIndex = 13;
+          this.parameterLabel3.Text = "Parameter 3 (if any)";
+          // 
+          // parameterLabel2
+          // 
+          this.parameterLabel2.AutoSize = true;
+          this.parameterLabel2.Location = new System.Drawing.Point(45, 87);
+          this.parameterLabel2.Name = "parameterLabel2";
+          this.parameterLabel2.Size = new System.Drawing.Size(142, 18);
+          this.parameterLabel2.TabIndex = 12;
+          this.parameterLabel2.Text = "Parameter 2 (if any)";
+          // 
+          // parameterLabel1
+          // 
+          this.parameterLabel1.AutoSize = true;
+          this.parameterLabel1.Location = new System.Drawing.Point(45, 54);
+          this.parameterLabel1.Name = "parameterLabel1";
+          this.parameterLabel1.Size = new System.Drawing.Size(89, 18);
+          this.parameterLabel1.TabIndex = 11;
+          this.parameterLabel1.Text = "Parameter 1";
+          // 
+          // DistributionLabel
+          // 
+          this.DistributionLabel.AutoSize = true;
+          this.DistributionLabel.Location = new System.Drawing.Point(45, 24);
+          this.DistributionLabel.Name = "DistributionLabel";
+          this.DistributionLabel.Size = new System.Drawing.Size(78, 18);
+          this.DistributionLabel.TabIndex = 10;
+          this.DistributionLabel.Text = "Distribution";
+          // 
+          // coefficient_of_variation
+          // 
+          this.coefficient_of_variation.AutoSize = true;
+          this.coefficient_of_variation.Location = new System.Drawing.Point(204, 318);
+          this.coefficient_of_variation.Name = "coefficient_of_variation";
+          this.coefficient_of_variation.Size = new System.Drawing.Size(65, 18);
+          this.coefficient_of_variation.TabIndex = 9;
+          this.coefficient_of_variation.Text = "CV value";
+          // 
+          // CVlabel
+          // 
+          this.CVlabel.AutoSize = true;
+          this.CVlabel.Location = new System.Drawing.Point(45, 318);
+          this.CVlabel.Name = "CVlabel";
+          this.CVlabel.Size = new System.Drawing.Size(152, 18);
+          this.CVlabel.TabIndex = 8;
+          this.CVlabel.Text = "Coefficient of variation";
+          this.toolTip1.SetToolTip(this.CVlabel, "or relative standard deviation that is standard deviation/mean");
+          // 
+          // kurtosis_excess
+          // 
+          this.kurtosis_excess.AutoSize = true;
+          this.kurtosis_excess.Location = new System.Drawing.Point(204, 414);
+          this.kurtosis_excess.Name = "kurtosis_excess";
+          this.kurtosis_excess.Size = new System.Drawing.Size(146, 18);
+          this.kurtosis_excess.TabIndex = 7;
+          this.kurtosis_excess.Text = "kurtosis excess value";
+          // 
+          // kurtosisExcessLabel
+          // 
+          this.kurtosisExcessLabel.AutoSize = true;
+          this.kurtosisExcessLabel.Location = new System.Drawing.Point(45, 414);
+          this.kurtosisExcessLabel.Name = "kurtosisExcessLabel";
+          this.kurtosisExcessLabel.Size = new System.Drawing.Size(109, 18);
+          this.kurtosisExcessLabel.TabIndex = 6;
+          this.kurtosisExcessLabel.Text = "Kurtosis excess";
+          // 
+          // kurtosis
+          // 
+          this.kurtosis.AutoSize = true;
+          this.kurtosis.Location = new System.Drawing.Point(204, 383);
+          this.kurtosis.Name = "kurtosis";
+          this.kurtosis.Size = new System.Drawing.Size(96, 18);
+          this.kurtosis.TabIndex = 5;
+          this.kurtosis.Text = "kurtosis value";
+          // 
+          // kurtosisLabel
+          // 
+          this.kurtosisLabel.AutoSize = true;
+          this.kurtosisLabel.Location = new System.Drawing.Point(45, 383);
+          this.kurtosisLabel.Name = "kurtosisLabel";
+          this.kurtosisLabel.Size = new System.Drawing.Size(59, 18);
+          this.kurtosisLabel.TabIndex = 4;
+          this.kurtosisLabel.Text = "Kurtosis";
+          // 
+          // skewness
+          // 
+          this.skewness.AutoSize = true;
+          this.skewness.Location = new System.Drawing.Point(204, 351);
+          this.skewness.Name = "skewness";
+          this.skewness.Size = new System.Drawing.Size(109, 18);
+          this.skewness.TabIndex = 3;
+          this.skewness.Text = "skewness value";
+          // 
+          // skewnessLabel
+          // 
+          this.skewnessLabel.AutoSize = true;
+          this.skewnessLabel.Location = new System.Drawing.Point(45, 351);
+          this.skewnessLabel.Name = "skewnessLabel";
+          this.skewnessLabel.Size = new System.Drawing.Size(71, 18);
+          this.skewnessLabel.TabIndex = 0;
+          this.skewnessLabel.Text = "Skewness";
+          // 
+          // median
+          // 
+          this.median.AutoSize = true;
+          this.median.Location = new System.Drawing.Point(204, 228);
+          this.median.Name = "median";
+          this.median.Size = new System.Drawing.Size(94, 18);
+          this.median.TabIndex = 1;
+          this.median.Text = "median value";
+          // 
+          // standard_deviation
+          // 
+          this.standard_deviation.AutoSize = true;
+          this.standard_deviation.Location = new System.Drawing.Point(204, 286);
+          this.standard_deviation.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.standard_deviation.Name = "standard_deviation";
+          this.standard_deviation.Size = new System.Drawing.Size(94, 18);
+          this.standard_deviation.TabIndex = 0;
+          this.standard_deviation.Text = "StdDev value";
+          // 
+          // stddevLabel
+          // 
+          this.stddevLabel.AutoSize = true;
+          this.stddevLabel.Location = new System.Drawing.Point(45, 286);
+          this.stddevLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.stddevLabel.Name = "stddevLabel";
+          this.stddevLabel.Size = new System.Drawing.Size(130, 18);
+          this.stddevLabel.TabIndex = 0;
+          this.stddevLabel.Text = "Standard Deviation";
+          this.toolTip1.SetToolTip(this.stddevLabel, "sqrt(");
+          // 
+          // variance
+          // 
+          this.variance.AutoSize = true;
+          this.variance.Location = new System.Drawing.Point(204, 257);
+          this.variance.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.variance.Name = "variance";
+          this.variance.Size = new System.Drawing.Size(101, 18);
+          this.variance.TabIndex = 0;
+          this.variance.Text = "variance value";
+          // 
+          // varianceLabel
+          // 
+          this.varianceLabel.AutoSize = true;
+          this.varianceLabel.Location = new System.Drawing.Point(45, 257);
+          this.varianceLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.varianceLabel.Name = "varianceLabel";
+          this.varianceLabel.Size = new System.Drawing.Size(63, 18);
+          this.varianceLabel.TabIndex = 0;
+          this.varianceLabel.Text = "Variance";
+          this.toolTip1.SetToolTip(this.varianceLabel, "standard deviation squared");
+          // 
+          // medianLabel
+          // 
+          this.medianLabel.AutoSize = true;
+          this.medianLabel.Location = new System.Drawing.Point(45, 228);
+          this.medianLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.medianLabel.Name = "medianLabel";
+          this.medianLabel.Size = new System.Drawing.Size(54, 18);
+          this.medianLabel.TabIndex = 0;
+          this.medianLabel.Text = "Median";
+          this.toolTip1.SetToolTip(this.medianLabel, "media is quantile(0.5)");
+          // 
+          // mode
+          // 
+          this.mode.AutoSize = true;
+          this.mode.Location = new System.Drawing.Point(204, 197);
+          this.mode.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.mode.Name = "mode";
+          this.mode.Size = new System.Drawing.Size(84, 18);
+          this.mode.TabIndex = 0;
+          this.mode.Text = "mode value";
+          // 
+          // mean
+          // 
+          this.mean.AutoSize = true;
+          this.mean.Location = new System.Drawing.Point(204, 169);
+          this.mean.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.mean.Name = "mean";
+          this.mean.Size = new System.Drawing.Size(84, 18);
+          this.mean.TabIndex = 0;
+          this.mean.Text = "mean value";
+          // 
+          // meanLabel
+          // 
+          this.meanLabel.AutoSize = true;
+          this.meanLabel.Location = new System.Drawing.Point(45, 169);
+          this.meanLabel.Margin = new System.Windows.Forms.Padding(4, 0, 4, 0);
+          this.meanLabel.Name = "meanLabel";
+          this.meanLabel.Size = new System.Drawing.Size(44, 18);
+          this.meanLabel.TabIndex = 0;
+          this.meanLabel.Text = "Mean";
+          // 
+          // cdfTabPage
+          // 
+          this.cdfTabPage.Controls.Add(this.CDF_data);
+          this.cdfTabPage.Location = new System.Drawing.Point(4, 26);
+          this.cdfTabPage.Margin = new System.Windows.Forms.Padding(4);
+          this.cdfTabPage.Name = "cdfTabPage";
+          this.cdfTabPage.Padding = new System.Windows.Forms.Padding(4);
+          this.cdfTabPage.Size = new System.Drawing.Size(634, 555);
+          this.cdfTabPage.TabIndex = 2;
+          this.cdfTabPage.Text = "PDF and CDF";
+          this.cdfTabPage.ToolTipText = "Probability Density and Cumulative Distribution Function (and complement) for ran" +
+              "dom variate x";
+          this.cdfTabPage.UseVisualStyleBackColor = true;
+          // 
+          // CDF_data
+          // 
+          this.CDF_data.AccessibleDescription = "PDF, CDF & complement Data Page";
+          this.CDF_data.AccessibleName = "CDF Tab";
+          this.CDF_data.AccessibleRole = System.Windows.Forms.AccessibleRole.PageTab;
+          this.CDF_data.ColumnHeadersHeightSizeMode = System.Windows.Forms.DataGridViewColumnHeadersHeightSizeMode.AutoSize;
+          this.CDF_data.Columns.AddRange(new System.Windows.Forms.DataGridViewColumn[] {
+            this.RandomVariable,
+            this.PDF,
+            this.CDF,
+            this.CCDF});
+          this.CDF_data.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.CDF_data.Location = new System.Drawing.Point(4, 4);
+          this.CDF_data.Margin = new System.Windows.Forms.Padding(4);
+          this.CDF_data.Name = "CDF_data";
+          this.CDF_data.RowTemplate.Height = 24;
+          this.CDF_data.Size = new System.Drawing.Size(626, 547);
+          this.CDF_data.TabIndex = 0;
+          this.CDF_data.CellEndEdit += new System.Windows.Forms.DataGridViewCellEventHandler(this.dataGridView1_CellEndEdit);
+          this.CDF_data.CellContentClick += new System.Windows.Forms.DataGridViewCellEventHandler(this.CDF_data_CellContentClick);
+          // 
+          // RandomVariable
+          // 
+          this.RandomVariable.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.RandomVariable.HeaderText = "Random Variable";
+          this.RandomVariable.Name = "RandomVariable";
+          // 
+          // PDF
+          // 
+          this.PDF.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.PDF.HeaderText = "PDF";
+          this.PDF.Name = "PDF";
+          this.PDF.ReadOnly = true;
+          // 
+          // CDF
+          // 
+          this.CDF.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.CDF.HeaderText = "CDF";
+          this.CDF.Name = "CDF";
+          this.CDF.ReadOnly = true;
+          // 
+          // CCDF
+          // 
+          this.CCDF.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.CCDF.HeaderText = "1-CDF";
+          this.CCDF.Name = "CCDF";
+          this.CCDF.ReadOnly = true;
+          // 
+          // QuantileTabPage
+          // 
+          this.QuantileTabPage.Controls.Add(this.QuantileData);
+          this.QuantileTabPage.Location = new System.Drawing.Point(4, 26);
+          this.QuantileTabPage.Margin = new System.Windows.Forms.Padding(4);
+          this.QuantileTabPage.Name = "QuantileTabPage";
+          this.QuantileTabPage.Padding = new System.Windows.Forms.Padding(4);
+          this.QuantileTabPage.Size = new System.Drawing.Size(634, 555);
+          this.QuantileTabPage.TabIndex = 3;
+          this.QuantileTabPage.Text = "Critical Values";
+          this.QuantileTabPage.ToolTipText = "Critical values (quantiles or percentiles of probability 1 - alpha)";
+          this.QuantileTabPage.UseVisualStyleBackColor = true;
+          this.QuantileTabPage.Enter += new System.EventHandler(this.QuantileTab_Enter);
+          // 
+          // QuantileData
+          // 
+          this.QuantileData.ColumnHeadersHeightSizeMode = System.Windows.Forms.DataGridViewColumnHeadersHeightSizeMode.AutoSize;
+          this.QuantileData.Columns.AddRange(new System.Windows.Forms.DataGridViewColumn[] {
+            this.RiskLevel,
+            this.LowerCriticalValue,
+            this.UpperCriticalValue});
+          this.QuantileData.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.QuantileData.Location = new System.Drawing.Point(4, 4);
+          this.QuantileData.Margin = new System.Windows.Forms.Padding(4);
+          this.QuantileData.Name = "QuantileData";
+          this.QuantileData.RowTemplate.Height = 24;
+          this.QuantileData.Size = new System.Drawing.Size(626, 547);
+          this.QuantileData.TabIndex = 0;
+          this.QuantileData.CellEndEdit += new System.Windows.Forms.DataGridViewCellEventHandler(this.QuantileData_CellEndEdit);
+          // 
+          // RiskLevel
+          // 
+          this.RiskLevel.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.RiskLevel.HeaderText = "Risk Level (alpha)";
+          this.RiskLevel.Name = "RiskLevel";
+          // 
+          // LowerCriticalValue
+          // 
+          this.LowerCriticalValue.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.LowerCriticalValue.HeaderText = "Lower Critical Value";
+          this.LowerCriticalValue.Name = "LowerCriticalValue";
+          this.LowerCriticalValue.ReadOnly = true;
+          // 
+          // UpperCriticalValue
+          // 
+          this.UpperCriticalValue.AutoSizeMode = System.Windows.Forms.DataGridViewAutoSizeColumnMode.Fill;
+          this.UpperCriticalValue.HeaderText = "Upper Critical Value";
+          this.UpperCriticalValue.Name = "UpperCriticalValue";
+          this.UpperCriticalValue.ReadOnly = true;
+          // 
+          // menuStrip1
+          // 
+          this.menuStrip1.BackColor = System.Drawing.SystemColors.Control;
+          this.menuStrip1.Items.AddRange(new System.Windows.Forms.ToolStripItem[] {
+            this.fileToolStripMenuItem,
+            this.editToolStripMenuItem,
+            this.helpToolStripMenuItem});
+          this.menuStrip1.Location = new System.Drawing.Point(0, 0);
+          this.menuStrip1.Name = "menuStrip1";
+          this.menuStrip1.Size = new System.Drawing.Size(642, 26);
+          this.menuStrip1.TabIndex = 1;
+          this.menuStrip1.Text = "menuStrip1";
+          // 
+          // fileToolStripMenuItem
+          // 
+          this.fileToolStripMenuItem.DropDownItems.AddRange(new System.Windows.Forms.ToolStripItem[] {
+            this.newToolStripMenuItem,
+            this.openToolStripMenuItem,
+            this.toolStripSeparator,
+            this.saveToolStripMenuItem,
+            this.toolStripSeparator1,
+            this.printToolStripMenuItem,
+            this.printPreviewToolStripMenuItem,
+            this.toolStripSeparator2,
+            this.exitToolStripMenuItem});
+          this.fileToolStripMenuItem.Name = "fileToolStripMenuItem";
+          this.fileToolStripMenuItem.Size = new System.Drawing.Size(40, 22);
+          this.fileToolStripMenuItem.Text = "&File";
+          // 
+          // newToolStripMenuItem
+          // 
+          this.newToolStripMenuItem.Enabled = false;
+          this.newToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("newToolStripMenuItem.Image")));
+          this.newToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.newToolStripMenuItem.Name = "newToolStripMenuItem";
+          this.newToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.N)));
+          this.newToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.newToolStripMenuItem.Text = "&New";
+          this.newToolStripMenuItem.ToolTipText = "New is not yet implementd. Enter data into dialog boxes.";
+          this.newToolStripMenuItem.Click += new System.EventHandler(this.newToolStripMenuItem_Click);
+          // 
+          // openToolStripMenuItem
+          // 
+          this.openToolStripMenuItem.Enabled = false;
+          this.openToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("openToolStripMenuItem.Image")));
+          this.openToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.openToolStripMenuItem.Name = "openToolStripMenuItem";
+          this.openToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.O)));
+          this.openToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.openToolStripMenuItem.Text = "&Open";
+          this.openToolStripMenuItem.ToolTipText = "Open is not yet implementd. Enter data into dialog boxes.";
+          this.openToolStripMenuItem.Click += new System.EventHandler(this.openToolStripMenuItem_Click);
+          // 
+          // toolStripSeparator
+          // 
+          this.toolStripSeparator.Name = "toolStripSeparator";
+          this.toolStripSeparator.Size = new System.Drawing.Size(174, 6);
+          // 
+          // saveToolStripMenuItem
+          // 
+          this.saveToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("saveToolStripMenuItem.Image")));
+          this.saveToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.saveToolStripMenuItem.Name = "saveToolStripMenuItem";
+          this.saveToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.S)));
+          this.saveToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.saveToolStripMenuItem.Text = "&Save";
+          this.saveToolStripMenuItem.ToolTipText = "Save all values, input and output, to a file.";
+          this.saveToolStripMenuItem.Click += new System.EventHandler(this.saveToolStripMenuItem_Click);
+          // 
+          // toolStripSeparator1
+          // 
+          this.toolStripSeparator1.Name = "toolStripSeparator1";
+          this.toolStripSeparator1.Size = new System.Drawing.Size(174, 6);
+          // 
+          // printToolStripMenuItem
+          // 
+          this.printToolStripMenuItem.Enabled = false;
+          this.printToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("printToolStripMenuItem.Image")));
+          this.printToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.printToolStripMenuItem.Name = "printToolStripMenuItem";
+          this.printToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.P)));
+          this.printToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.printToolStripMenuItem.Text = "&Print";
+          this.printToolStripMenuItem.ToolTipText = "Printing not yet available.  Output to a file and print that instead.";
+          this.printToolStripMenuItem.Click += new System.EventHandler(this.printToolStripMenuItem_Click);
+          // 
+          // printPreviewToolStripMenuItem
+          // 
+          this.printPreviewToolStripMenuItem.Enabled = false;
+          this.printPreviewToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("printPreviewToolStripMenuItem.Image")));
+          this.printPreviewToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.printPreviewToolStripMenuItem.Name = "printPreviewToolStripMenuItem";
+          this.printPreviewToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.printPreviewToolStripMenuItem.Text = "Print Pre&view";
+          this.printPreviewToolStripMenuItem.ToolTipText = "Printing not yet available.  Output to a file and print that instead.";
+          this.printPreviewToolStripMenuItem.Visible = false;
+          this.printPreviewToolStripMenuItem.Click += new System.EventHandler(this.printPreviewToolStripMenuItem_Click);
+          // 
+          // toolStripSeparator2
+          // 
+          this.toolStripSeparator2.Name = "toolStripSeparator2";
+          this.toolStripSeparator2.Size = new System.Drawing.Size(174, 6);
+          // 
+          // exitToolStripMenuItem
+          // 
+          this.exitToolStripMenuItem.AutoToolTip = true;
+          this.exitToolStripMenuItem.Name = "exitToolStripMenuItem";
+          this.exitToolStripMenuItem.Size = new System.Drawing.Size(177, 22);
+          this.exitToolStripMenuItem.Text = "E&xit";
+          this.exitToolStripMenuItem.Click += new System.EventHandler(this.exitToolStripMenuItem_Click);
+          // 
+          // editToolStripMenuItem
+          // 
+          this.editToolStripMenuItem.DropDownItems.AddRange(new System.Windows.Forms.ToolStripItem[] {
+            this.undoToolStripMenuItem,
+            this.redoToolStripMenuItem,
+            this.toolStripSeparator3,
+            this.cutToolStripMenuItem,
+            this.copyToolStripMenuItem,
+            this.pasteToolStripMenuItem,
+            this.toolStripSeparator4,
+            this.selectAllToolStripMenuItem});
+          this.editToolStripMenuItem.Enabled = false;
+          this.editToolStripMenuItem.Name = "editToolStripMenuItem";
+          this.editToolStripMenuItem.Size = new System.Drawing.Size(43, 22);
+          this.editToolStripMenuItem.Text = "&Edit";
+          this.editToolStripMenuItem.Visible = false;
+          // 
+          // undoToolStripMenuItem
+          // 
+          this.undoToolStripMenuItem.Name = "undoToolStripMenuItem";
+          this.undoToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.Z)));
+          this.undoToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.undoToolStripMenuItem.Text = "&Undo";
+          // 
+          // redoToolStripMenuItem
+          // 
+          this.redoToolStripMenuItem.Name = "redoToolStripMenuItem";
+          this.redoToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.Y)));
+          this.redoToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.redoToolStripMenuItem.Text = "&Redo";
+          // 
+          // toolStripSeparator3
+          // 
+          this.toolStripSeparator3.Name = "toolStripSeparator3";
+          this.toolStripSeparator3.Size = new System.Drawing.Size(173, 6);
+          // 
+          // cutToolStripMenuItem
+          // 
+          this.cutToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("cutToolStripMenuItem.Image")));
+          this.cutToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.cutToolStripMenuItem.Name = "cutToolStripMenuItem";
+          this.cutToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.X)));
+          this.cutToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.cutToolStripMenuItem.Text = "Cu&t";
+          // 
+          // copyToolStripMenuItem
+          // 
+          this.copyToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("copyToolStripMenuItem.Image")));
+          this.copyToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.copyToolStripMenuItem.Name = "copyToolStripMenuItem";
+          this.copyToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.C)));
+          this.copyToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.copyToolStripMenuItem.Text = "&Copy";
+          // 
+          // pasteToolStripMenuItem
+          // 
+          this.pasteToolStripMenuItem.Image = ((System.Drawing.Image)(resources.GetObject("pasteToolStripMenuItem.Image")));
+          this.pasteToolStripMenuItem.ImageTransparentColor = System.Drawing.Color.Magenta;
+          this.pasteToolStripMenuItem.Name = "pasteToolStripMenuItem";
+          this.pasteToolStripMenuItem.ShortcutKeys = ((System.Windows.Forms.Keys)((System.Windows.Forms.Keys.Control | System.Windows.Forms.Keys.V)));
+          this.pasteToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.pasteToolStripMenuItem.Text = "&Paste";
+          // 
+          // toolStripSeparator4
+          // 
+          this.toolStripSeparator4.Name = "toolStripSeparator4";
+          this.toolStripSeparator4.Size = new System.Drawing.Size(173, 6);
+          // 
+          // selectAllToolStripMenuItem
+          // 
+          this.selectAllToolStripMenuItem.Name = "selectAllToolStripMenuItem";
+          this.selectAllToolStripMenuItem.Size = new System.Drawing.Size(176, 22);
+          this.selectAllToolStripMenuItem.Text = "Select &All";
+          // 
+          // helpToolStripMenuItem
+          // 
+          this.helpToolStripMenuItem.DropDownItems.AddRange(new System.Windows.Forms.ToolStripItem[] {
+            this.contentsToolStripMenuItem,
+            this.toolStripSeparator5,
+            this.aboutToolStripMenuItem});
+          this.helpToolStripMenuItem.Name = "helpToolStripMenuItem";
+          this.helpToolStripMenuItem.Size = new System.Drawing.Size(48, 22);
+          this.helpToolStripMenuItem.Text = "&Help";
+          // 
+          // contentsToolStripMenuItem
+          // 
+          this.contentsToolStripMenuItem.AutoToolTip = true;
+          this.contentsToolStripMenuItem.Name = "contentsToolStripMenuItem";
+          this.contentsToolStripMenuItem.Size = new System.Drawing.Size(149, 22);
+          this.contentsToolStripMenuItem.Text = "&Contents";
+          this.contentsToolStripMenuItem.Click += new System.EventHandler(this.contentsToolStripMenuItem_Click);
+          // 
+          // toolStripSeparator5
+          // 
+          this.toolStripSeparator5.Name = "toolStripSeparator5";
+          this.toolStripSeparator5.Size = new System.Drawing.Size(146, 6);
+          // 
+          // aboutToolStripMenuItem
+          // 
+          this.aboutToolStripMenuItem.Name = "aboutToolStripMenuItem";
+          this.aboutToolStripMenuItem.Size = new System.Drawing.Size(149, 22);
+          this.aboutToolStripMenuItem.Text = "&About...";
+          this.aboutToolStripMenuItem.ToolTipText = "About this program";
+          this.aboutToolStripMenuItem.Click += new System.EventHandler(this.aboutToolStripMenuItem_Click);
+          // 
+          // customizeToolStripMenuItem
+          // 
+          this.customizeToolStripMenuItem.Name = "customizeToolStripMenuItem";
+          this.customizeToolStripMenuItem.Size = new System.Drawing.Size(32, 19);
+          this.customizeToolStripMenuItem.Text = "&Customize";
+          // 
+          // saveFileDialog
+          // 
+          this.saveFileDialog.FileOk += new System.ComponentModel.CancelEventHandler(this.saveFileDialog1_FileOk);
+          // 
+          // DistexForm
+          // 
+          this.AutoScaleDimensions = new System.Drawing.SizeF(8F, 17F);
+          this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
+          this.BackColor = System.Drawing.SystemColors.ControlLight;
+          this.ClientSize = new System.Drawing.Size(642, 611);
+          this.Controls.Add(this.propertiesTab);
+          this.Controls.Add(this.menuStrip1);
+          this.Font = new System.Drawing.Font("Tahoma", 8.400001F);
+          this.Icon = ((System.Drawing.Icon)(resources.GetObject("$this.Icon")));
+          this.MainMenuStrip = this.menuStrip1;
+          this.Margin = new System.Windows.Forms.Padding(4);
+          this.MaximizeBox = false;
+          this.MinimumSize = new System.Drawing.Size(650, 645);
+          this.Name = "DistexForm";
+          this.StartPosition = System.Windows.Forms.FormStartPosition.CenterScreen;
+          this.Text = "Statistical Distribution Explorer";
+          this.toolTip1.SetToolTip(this, "Statistical Distribution Explorer main form");
+          this.Activated += new System.EventHandler(this.DistexForm_Activated);
+          this.Load += new System.EventHandler(this.Form_Load);
+          this.propertiesTab.ResumeLayout(false);
+          this.DistributionTab.ResumeLayout(false);
+          this.DistributionTab.PerformLayout();
+          this.PropertiesTabPage.ResumeLayout(false);
+          this.PropertiesTabPage.PerformLayout();
+          this.cdfTabPage.ResumeLayout(false);
+          ((System.ComponentModel.ISupportInitialize)(this.CDF_data)).EndInit();
+          this.QuantileTabPage.ResumeLayout(false);
+          ((System.ComponentModel.ISupportInitialize)(this.QuantileData)).EndInit();
+          this.menuStrip1.ResumeLayout(false);
+          this.menuStrip1.PerformLayout();
+          this.ResumeLayout(false);
+          this.PerformLayout();
+
+        }
+
+        #endregion
+
+        private System.Windows.Forms.TabControl propertiesTab;
+        private System.Windows.Forms.TabPage DistributionTab;
+        private System.Windows.Forms.TabPage PropertiesTabPage;
+        private System.Windows.Forms.Label distributionNameLabel;
+        private System.Windows.Forms.Label parameter2Label;
+        private System.Windows.Forms.Label parameter1Label;
+        private System.Windows.Forms.TextBox parameter2;
+        private System.Windows.Forms.TextBox parameter1;
+        private System.Windows.Forms.ComboBox distribution;
+        private System.Windows.Forms.Label standard_deviation;
+        private System.Windows.Forms.Label stddevLabel;
+        private System.Windows.Forms.Label variance;
+        private System.Windows.Forms.Label varianceLabel;
+        private System.Windows.Forms.Label medianLabel;
+        private System.Windows.Forms.Label mode;
+        private System.Windows.Forms.Label mean;
+        private System.Windows.Forms.Label meanLabel;
+        private System.Windows.Forms.TabPage cdfTabPage;
+        private System.Windows.Forms.DataGridView CDF_data;
+        private System.Windows.Forms.DataGridViewTextBoxColumn RandomVariable;
+        private System.Windows.Forms.DataGridViewTextBoxColumn PDF;
+        private System.Windows.Forms.DataGridViewTextBoxColumn CDF;
+        private System.Windows.Forms.DataGridViewTextBoxColumn CCDF;
+        private System.Windows.Forms.TabPage QuantileTabPage;
+        private System.Windows.Forms.DataGridView QuantileData;
+        private System.Windows.Forms.DataGridViewTextBoxColumn RiskLevel;
+        private System.Windows.Forms.DataGridViewTextBoxColumn LowerCriticalValue;
+        private System.Windows.Forms.DataGridViewTextBoxColumn UpperCriticalValue;
+        private System.Windows.Forms.MenuStrip menuStrip1;
+        private System.Windows.Forms.ToolStripMenuItem fileToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem newToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem openToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator;
+        private System.Windows.Forms.ToolStripMenuItem saveToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator1;
+        private System.Windows.Forms.ToolStripMenuItem printToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem printPreviewToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator2;
+        private System.Windows.Forms.ToolStripMenuItem exitToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem editToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem undoToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem redoToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator3;
+        private System.Windows.Forms.ToolStripMenuItem cutToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem copyToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem pasteToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator4;
+        private System.Windows.Forms.ToolStripMenuItem selectAllToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem customizeToolStripMenuItem;
+        private System.Windows.Forms.ToolStripMenuItem helpToolStripMenuItem;
+      private System.Windows.Forms.ToolStripMenuItem contentsToolStripMenuItem;
+        private System.Windows.Forms.ToolStripSeparator toolStripSeparator5;
+        private System.Windows.Forms.ToolStripMenuItem aboutToolStripMenuItem;
+        private System.Windows.Forms.Label median;
+        private System.Windows.Forms.Label skewness;
+        private System.Windows.Forms.Label skewnessLabel;
+        private System.Windows.Forms.Label kurtosis;
+        private System.Windows.Forms.Label kurtosisLabel;
+        private System.Windows.Forms.Label kurtosis_excess;
+        private System.Windows.Forms.Label kurtosisExcessLabel;
+        private System.Windows.Forms.Label modeLabel;
+        private System.Windows.Forms.ToolTip toolTip1;
+        private System.Windows.Forms.Label CVlabel;
+        private System.Windows.Forms.Label coefficient_of_variation;
+        private System.Windows.Forms.Label parameter3Label;
+        private System.Windows.Forms.TextBox parameter3;
+      private System.Windows.Forms.Label parameterLabel3;
+      private System.Windows.Forms.Label parameterLabel2;
+      private System.Windows.Forms.Label parameterLabel1;
+      private System.Windows.Forms.Label DistributionLabel;
+      private System.Windows.Forms.Label parameter3ValueLabel;
+      private System.Windows.Forms.Label parameter2ValueLabel;
+      private System.Windows.Forms.Label parameter1ValueLabel;
+      private System.Windows.Forms.Label distributionValueLabel;
+      private System.Windows.Forms.SaveFileDialog saveFileDialog;
+      private System.Windows.Forms.Label supportLabel;
+      private System.Windows.Forms.Label rangeGreatestLabel;
+      private System.Windows.Forms.Label rangeLowestLabel;
+      private System.Windows.Forms.Label rangeLabel;
+      private System.Windows.Forms.Label supportUpperLabel;
+      private System.Windows.Forms.Label supportLowerLabel;
+      private System.Windows.Forms.Label toLabel2;
+      private System.Windows.Forms.Label toLabel1;
+    }
+}
+
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.cs
new file mode 100644
index 00000000..eaccfeac
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.cs
@@ -0,0 +1,610 @@
+using System;
+using System.Collections.Generic;
+using System.ComponentModel;
+using System.Data;
+using System.Drawing;
+using System.Text;
+using System.Windows.Forms;
+using System.Threading;
+using System.Diagnostics;
+using System.IO;
+using System.Reflection;
+
+namespace distribution_explorer
+{
+  /// <summary>
+  /// Main distribution explorer.
+  /// </summary>
+  public partial class DistexForm : Form
+  {
+
+    EventLog log = new EventLog();
+    /// <summary>
+    /// Main form
+    /// </summary>
+    public DistexForm()
+    {
+      if (!EventLog.SourceExists("EventLogDistex"))
+      {
+        EventLog.CreateEventSource("EventLogDistex", "Application");
+      }
+      log.Source = "EventLogDistex";
+      log.WriteEntry("DistexForm");
+
+      InitializeComponent();
+
+      Application.DoEvents();
+    }
+
+    private void Form_Load(object sender, EventArgs e)
+    { // Load distribution & parameters names, and default values.
+      try
+      {
+        // Create and show splash screen:
+        this.Hide();
+        distexSplash frmSplash = new distexSplash();
+        frmSplash.Show();
+        frmSplash.Update();
+        // Now load our data while the splash is showing:
+        if (boost_math.any_distribution.size() <= 0)
+        {
+          MessageBox.Show("Problem loading any distributions, size = " + boost_math.any_distribution.size().ToString());
+        }
+        for (int i = 0; i < boost_math.any_distribution.size(); ++i)
+        {
+          distribution.Items.Add(boost_math.any_distribution.distribution_name(i));
+        }
+        distribution.SelectedIndex = 0; // 1st in array, but could be any other.
+        // All parameters are made zero by default, but updated from chosen distribution.
+        parameter1.Text = boost_math.any_distribution.first_param_default(0).ToString();
+        parameter2.Text = boost_math.any_distribution.second_param_default(0).ToString();
+        parameter3.Text = boost_math.any_distribution.third_param_default(0).ToString();
+        //
+        // Sleep and then close splash;
+        Thread.Sleep(3000);
+        frmSplash.Close();
+        this.Visible = true;
+      }
+      catch
+      { //
+        log.WriteEntry("DistexForm_load exception!");
+        MessageBox.Show("Problem loading distributions, size = " + boost_math.any_distribution.size().ToString());
+      }
+    }
+
+    private void distribution_SelectedIndexChanged(object sender, EventArgs e)
+    {
+      int i = distribution.SelectedIndex; // distribution tab.
+      parameter1Label.Text = boost_math.any_distribution.first_param_name(i);
+      parameterLabel1.Text = boost_math.any_distribution.first_param_name(i); // properties tab.
+      parameter2Label.Text = boost_math.any_distribution.second_param_name(i);
+      parameter3Label.Text = boost_math.any_distribution.third_param_name(i);
+      if (boost_math.any_distribution.first_param_name(i).Length.CompareTo(0) != 0)
+      { // Actually all the distributions have at least one parameters,
+        parameter1.Visible = true; // so should always be true.
+        parameterLabel1.Visible = true;
+      }
+      else
+      { // If distribution chosen has no parameter name(s) then hide.
+        parameter1.Visible = false;
+        parameterLabel1.Visible = false;
+      }
+      parameter1.Text = boost_math.any_distribution.first_param_default(i).ToString();
+      // Update parameter default to match distribution.
+      if (boost_math.any_distribution.second_param_name(i).Length.CompareTo(0) != 0)
+      {
+        parameter2.Visible = true;
+        parameterLabel2.Visible = true;
+        parameter2ValueLabel.Visible = true;
+      }
+      else
+      { // hide
+        parameter2.Visible = false;
+        parameterLabel2.Visible = false;
+        parameter2ValueLabel.Visible = false;
+
+      }
+      parameter2.Text = boost_math.any_distribution.second_param_default(i).ToString();
+      if (boost_math.any_distribution.third_param_name(i).Length.CompareTo(0) != 0)
+      {
+        parameter3.Visible = true;
+        parameterLabel3.Visible = true;
+        parameter3ValueLabel.Visible = true;
+      }
+      else
+      { // hide
+        parameter3.Visible = false;
+        parameterLabel3.Visible = false;
+        parameter3ValueLabel.Visible = false;
+      }
+      parameter3.Text = boost_math.any_distribution.third_param_default(i).ToString();
+      // Update tool tips to show total and supported ranges.
+      PropertiesTabPage.ToolTipText = "Shows properties and ranges of chosen distribution.";
+    }
+
+    private boost_math.any_distribution dist;
+
+    private void dataGridView1_CellEndEdit(object sender, DataGridViewCellEventArgs e)
+    { // Display a grid of pdf, cdf... values from user's random variate x value.
+      try
+      {
+        if (e.ColumnIndex == 0)
+        { // Clicked on left-most random variate x column to enter a value.
+          int i = e.RowIndex;
+          string s = CDF_data.Rows[i].Cells[0].Value.ToString();
+          double x = double.Parse(s); // Get value of users random variate x.
+          double pdf = dist.pdf(x); // Compute pdf values from x
+          double cdf = dist.cdf(x); // & cdf
+          double ccdf = dist.ccdf(x); // & complements.
+          CDF_data.Rows[i].Cells[1].Value = pdf; // and display values.
+          CDF_data.Rows[i].Cells[2].Value = cdf;
+          CDF_data.Rows[i].Cells[3].Value = ccdf;
+        }
+      }
+      catch (SystemException se)
+      {
+          MessageBox.Show("Error in random variable value: " + se.Message, "Calculation Error");
+      }
+    }
+
+    private void tabPage2_Enter(object sender, EventArgs e)
+    { // Properties tab shows distribution's mean, mode, median...
+      try
+      { // Show chosen distribution name, and parameter names & values.
+        int i = distribution.SelectedIndex;
+        distributionValueLabel.Text = boost_math.any_distribution.distribution_name(i).ToString();
+        parameterLabel1.Text = boost_math.any_distribution.first_param_name(i).ToString();
+        parameter1ValueLabel.Text = double.Parse(parameter1.Text).ToString();
+        parameterLabel2.Text = boost_math.any_distribution.second_param_name(i).ToString();
+        parameter2ValueLabel.Text = double.Parse(parameter2.Text).ToString();
+        parameterLabel3.Text = boost_math.any_distribution.third_param_name(i).ToString();
+        parameter3ValueLabel.Text = double.Parse(parameter3.Text).ToString();
+
+        // Show computed properties of distribution.
+        try
+        {
+            mean.Text = dist.mean().ToString();
+        }
+        catch
+        {
+            mean.Text = "Undefined.";
+        }
+        try
+        {
+            mode.Text = dist.mode().ToString();
+        }
+        catch
+        {
+            mode.Text = "Undefined.";
+        }
+        try
+        {
+            median.Text = dist.median().ToString();
+        }
+        catch
+        {
+            median.Text = "Undefined.";
+        }
+        try
+        {
+            variance.Text = dist.variance().ToString();
+        }
+        catch
+        {
+            variance.Text = "Undefined.";
+        }
+        try
+        {
+            standard_deviation.Text = dist.standard_deviation().ToString();
+        }
+        catch
+        {
+            standard_deviation.Text = "Undefined.";
+        }
+        try
+        {
+            skewness.Text = dist.skewness().ToString();
+        }
+        catch
+        {
+            skewness.Text = "Undefined.";
+        }
+        try
+        {
+            kurtosis.Text = dist.kurtosis().ToString();
+        }
+        catch
+        {
+            kurtosis.Text = "Undefined.";
+        }
+        try
+        {
+            kurtosis_excess.Text = dist.kurtosis_excess().ToString();
+        }
+        catch
+        {
+            kurtosis_excess.Text = "Undefined.";
+        }
+        try
+        {
+            coefficient_of_variation.Text = dist.coefficient_of_variation().ToString();
+        }
+        catch
+        {
+            coefficient_of_variation.Text = "Undefined.";
+        }
+
+        rangeLowestLabel.Text = dist.lowest().ToString();
+        rangeGreatestLabel.Text = dist.uppermost().ToString();
+        supportLowerLabel.Text = dist.lower().ToString();
+        supportUpperLabel.Text = dist.upper().ToString();
+        cdfTabPage.ToolTipText = "Random variate can range from " + rangeLowestLabel.Text
+          + " to " + rangeGreatestLabel.Text
+          + ",\nbut is said to be supported from " + supportLowerLabel.Text
+          + " to " + supportUpperLabel.Text
+          + "\nWithin this supported range the PDF and CDF have values between 0 and 1,\nbut below " + supportLowerLabel.Text + " both are zero, and above "
+          +  supportUpperLabel.Text + " both are unity";
+      }
+      catch (SystemException se)
+      {
+        MessageBox.Show(se.Message, "Calculation Error!");
+      }
+    }
+
+    private void properties_tab_Deselecting(object sender, TabControlCancelEventArgs e)
+    {
+      try
+      {
+        if (e.TabPageIndex == 0)
+        {   // Update selected distribution object:
+          double x = double.Parse(parameter1.Text);
+          double y = double.Parse(parameter2.Text);
+          double z = double.Parse(parameter3.Text);
+          int i = distribution.SelectedIndex;
+          dist = new boost_math.any_distribution(i, x, y, z);
+          // Clear existing CDF data (has to be a better way?):
+          while (CDF_data.Rows.Count > 1)
+          {
+            CDF_data.Rows.Remove(CDF_data.Rows[0]);
+          }
+          // Clear existing quantile data (has to be a better way?):
+          while (QuantileData.Rows.Count > 1)
+          {
+            QuantileData.Rows.Remove(QuantileData.Rows[0]);
+          }
+        }
+      }
+      catch (SystemException se)
+      {
+          MessageBox.Show(se.Message +
+              " Please check the distribution's parameters and try again.", "Distribution Error");
+          this.propertiesTab.SelectedIndex = 0;
+          e.Cancel = true;
+      }
+    }
+
+    private void QuantileData_CellEndEdit(object sender, DataGridViewCellEventArgs e)
+    { // aka Risk & critical values tab.
+      try
+      {
+        if (e.ColumnIndex == 0)
+        {
+          int i = e.RowIndex;
+          string s = QuantileData.Rows[i].Cells[0].Value.ToString();
+          double x = double.Parse(s);
+          // Remember x is alpha: 1 - the probability:
+          double lcv = dist.quantile(x);
+          double ucv = dist.quantile_c(x);
+          QuantileData.Rows[i].Cells[1].Value = lcv;
+          QuantileData.Rows[i].Cells[2].Value = ucv;
+        }
+      }
+      catch (SystemException se)
+      {
+        // TODO add some proper handling here!
+        MessageBox.Show("Error in probability value: " + se.Message, "Calculation Error");
+      }
+    }
+
+    private void QuantileTab_Enter(object sender, EventArgs e)
+    { // Evaluate critical values (quantiles) for pre-chosen risk level.
+      // and then, optionally, for other user-provided risk levels.
+      try
+      {
+        if (QuantileData.Rows.Count == 1)
+        {
+          // Add some defaults:
+          QuantileData.Rows.Add(5); // 5 Risk levels.
+          QuantileData.Rows[0].Cells[0].Value = "0.001"; // Risk values as text,
+          QuantileData.Rows[0].Cells[1].Value = dist.quantile(0.001); // & as double.
+          QuantileData.Rows[0].Cells[2].Value = dist.quantile_c(0.001);
+          QuantileData.Rows[1].Cells[0].Value = "0.01";
+          QuantileData.Rows[1].Cells[1].Value = dist.quantile(0.01); // 99% confidence.
+          QuantileData.Rows[1].Cells[2].Value = dist.quantile_c(0.01);
+          QuantileData.Rows[2].Cells[0].Value = "0.05";
+          QuantileData.Rows[2].Cells[1].Value = dist.quantile(0.05);
+          QuantileData.Rows[2].Cells[2].Value = dist.quantile_c(0.05);
+          QuantileData.Rows[3].Cells[0].Value = "0.1";
+          QuantileData.Rows[3].Cells[1].Value = dist.quantile(0.1);
+          QuantileData.Rows[3].Cells[2].Value = dist.quantile_c(0.1);
+          QuantileData.Rows[4].Cells[0].Value = "0.33333333333333333";
+          QuantileData.Rows[4].Cells[1].Value = dist.quantile(0.33333333333333333);
+          QuantileData.Rows[4].Cells[2].Value = dist.quantile_c(0.33333333333333333);
+        }
+      }
+      catch (SystemException se)
+      {
+        // TODO add some proper handling here!
+        MessageBox.Show(se.Message, "Calculation Error");
+      }
+    }
+
+
+    private void properties_tab_SelectedIndexChanged(object sender, EventArgs e)
+    {
+    }
+
+    private void tabPage1_Click(object sender, EventArgs e)
+    {
+    }
+
+    private void CDF_data_CellContentClick(object sender, DataGridViewCellEventArgs e)
+    {
+    }
+
+    distexAboutBox DistexAboutBox = new distexAboutBox();
+
+    private void aboutToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      DistexAboutBox.ShowDialog();
+    }
+
+    private void DistexForm_Activated(object sender, EventArgs e)
+    {
+    }
+
+    /// get AssemblyDescription
+    public string AssemblyDescription
+    {
+      get
+      {
+        // Get all Description attributes on this assembly
+        object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyDescriptionAttribute), false);
+        // If there aren't any Description attributes, return an empty string
+        if (attributes.Length == 0)
+          return "";
+        // If there is a Description attribute, return its value
+        return ((AssemblyDescriptionAttribute)attributes[0]).Description;
+      }
+    }
+
+    private void saveFileDialog1_FileOk(object sender, CancelEventArgs e)
+    {
+      using (StreamWriter sw = new StreamWriter(this.saveFileDialog.FileName))
+      { // Write distribution info and properties to file.
+        sw.WriteLine( AssemblyDescription);
+        sw.WriteLine("Version " + Assembly.GetExecutingAssembly().GetName().Version.ToString());
+        // Get parameter names (null "" if no parameter).
+        int i = distribution.SelectedIndex;
+        distributionValueLabel.Text = boost_math.any_distribution.distribution_name(i).ToString();
+        sw.WriteLine(distributionValueLabel.Text + " distribution");
+        parameterLabel1.Text = boost_math.any_distribution.first_param_name(i).ToString();
+        parameterLabel2.Text = boost_math.any_distribution.second_param_name(i).ToString();
+        parameterLabel3.Text = boost_math.any_distribution.third_param_name(i).ToString();
+        string separator = "\t "; // , or tab or space?
+        // Write parameter name & value.
+        sw.WriteLine(parameterLabel1.Text + separator + this.parameter1.Text);
+        if (boost_math.any_distribution.second_param_name(i).Length.CompareTo(0) != 0)
+        { // Is a 2nd parameter.
+          sw.WriteLine(parameterLabel2.Text + separator +  this.parameter2.Text);
+        }
+        if (boost_math.any_distribution.third_param_name(i).Length.CompareTo(0) != 0)
+        { // Is a 3rd parameter.
+          sw.WriteLine(parameterLabel3.Text + separator + this.parameter3.Text);
+        }
+        sw.WriteLine();
+        sw.WriteLine("Properties");
+        // Show computed properties of distribution.
+        double x = double.Parse(parameter1.Text);
+        double y = double.Parse(parameter2.Text);
+        double z = double.Parse(parameter3.Text);
+        dist = new boost_math.any_distribution(i, x, y, z);
+        // Note global dist might not have been calculated yet if no of the tabs clicked.
+        try
+        {
+            mean.Text = dist.mean().ToString();
+        }
+        catch
+        {
+            mean.Text = "Undefined";
+        }
+        sw.WriteLine("Mean" + separator + mean.Text);
+        try
+        {
+            mode.Text = dist.mode().ToString();
+        }
+        catch
+        {
+            mode.Text = "Undefined";
+        }
+        sw.WriteLine("mode" + separator + mode.Text);
+        try
+        {
+            median.Text = dist.median().ToString();
+        }
+        catch
+        {
+            median.Text = "Undefined";
+        }
+        sw.WriteLine("Median" + separator + median.Text);
+        try
+        {
+            variance.Text = dist.variance().ToString();
+        }
+        catch
+        {
+            variance.Text = "Undefined";
+        }
+        sw.WriteLine("Variance" + separator + variance.Text);
+        try
+        {
+            standard_deviation.Text = dist.standard_deviation().ToString();
+        }
+        catch
+        {
+            standard_deviation.Text = "Undefined";
+        }
+        sw.WriteLine("Standard Deviation" + separator + standard_deviation.Text);
+        try
+        {
+            skewness.Text = dist.skewness().ToString();
+        }
+        catch
+        {
+            skewness.Text = "Undefined";
+        }
+        sw.WriteLine("Skewness" + separator + skewness.Text);
+        try
+        {
+            coefficient_of_variation.Text = dist.coefficient_of_variation().ToString();
+        }
+        catch
+        {
+            coefficient_of_variation.Text = "Undefined";
+        }
+        sw.WriteLine("Cofficient of variation" + separator + coefficient_of_variation.Text);
+        try
+        {
+            kurtosis.Text = dist.kurtosis().ToString();
+        }
+        catch
+        {
+            kurtosis.Text = "Undefined";
+        }
+        sw.WriteLine("Kurtosis" + separator + kurtosis.Text);
+        try
+        {
+            kurtosis_excess.Text = dist.kurtosis_excess().ToString();
+        }
+        catch
+        {
+            kurtosis_excess.Text = "Undefined";
+        }
+        sw.WriteLine("Kurtosis excess" + separator + kurtosis_excess.Text);
+        sw.WriteLine();
+
+        sw.WriteLine("Range from" + separator + dist.lowest().ToString() + separator +
+        "to" + separator + dist.uppermost().ToString());
+        sw.WriteLine("Support from " + separator + dist.lower().ToString() +separator+
+        "to " + separator + dist.upper().ToString());
+        sw.WriteLine();
+
+        //
+        sw.WriteLine("Quantiles");
+        if (QuantileData.Rows.Count == 1)
+        { // Add some defaults:
+          QuantileData.Rows.Add(5); // 5 Risk levels.
+          QuantileData.Rows[0].Cells[0].Value = "0.001"; // Risk values as text,
+          QuantileData.Rows[0].Cells[1].Value = dist.quantile(0.001); // & as double.
+          QuantileData.Rows[0].Cells[2].Value = dist.quantile_c(0.001);
+          QuantileData.Rows[1].Cells[0].Value = "0.01";
+          QuantileData.Rows[1].Cells[1].Value = dist.quantile(0.01); // 99% confidence.
+          QuantileData.Rows[1].Cells[2].Value = dist.quantile_c(0.01);
+          QuantileData.Rows[2].Cells[0].Value = "0.05";
+          QuantileData.Rows[2].Cells[1].Value = dist.quantile(0.05);
+          QuantileData.Rows[2].Cells[2].Value = dist.quantile_c(0.05);
+          QuantileData.Rows[3].Cells[0].Value = "0.1";
+          QuantileData.Rows[3].Cells[1].Value = dist.quantile(0.1);
+          QuantileData.Rows[3].Cells[2].Value = dist.quantile_c(0.1);
+          QuantileData.Rows[4].Cells[0].Value = "0.33333333333333333";
+          QuantileData.Rows[4].Cells[1].Value = dist.quantile(0.33333333333333333);
+          QuantileData.Rows[4].Cells[2].Value = dist.quantile_c(0.33333333333333333);
+        }
+        // else have already been calculated by entering the quantile tab.
+        for (int r = 0; r < QuantileData.Rows.Count-1; r++)
+        { // Show all the rows of quantiles, including any optional user values.
+          sw.WriteLine(QuantileData.Rows[r].Cells[0].Value.ToString() + separator +
+            QuantileData.Rows[r].Cells[1].Value.ToString() + separator +
+            QuantileData.Rows[r].Cells[2].Value.ToString());
+        }
+        sw.WriteLine();
+        sw.WriteLine("PDF, CDF & complement(s)");
+        for (int r = 0; r < CDF_data.Rows.Count-1; r++)
+        { // Show all the rows of pdf, cdf, including any optional user values.
+          sw.WriteLine(CDF_data.Rows[r].Cells[0].Value.ToString() + separator + // x value.
+            CDF_data.Rows[r].Cells[1].Value.ToString() + separator + // pdf
+            CDF_data.Rows[r].Cells[2].Value.ToString() + separator + // cdf
+            CDF_data.Rows[r].Cells[3].Value.ToString());// cdf complement.
+        }
+        sw.WriteLine();
+    }
+
+    } // saveFileDialog1_FileOk
+
+    private void saveToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      this.saveFileDialog.ShowDialog();
+    }
+
+    private void saveAsToolStripMenuItem_Click(object sender, EventArgs e)
+    { // Same as Save.
+      this.saveFileDialog.ShowDialog();
+    }
+
+    private void contentsToolStripMenuItem_Click(object sender, EventArgs e)
+    { // In lieu of proper help.
+      string helpText = "\n" + AssemblyDescription +
+      "\nVersion " + Assembly.GetExecutingAssembly().GetName().Version.ToString() +
+      "\nA Windows utility to show the properties of distributions " +
+      "\nand permit calculation of probability density (or mass) function (PDF) " +
+      "\nand cumulative distribution function (CDF) and complements from values provided." +
+      "\nQuantiles are also calculated for typical risk (alpha) probabilities" +
+      "\nand for probabilities provided by the user." +
+      "\n" +
+      "\nResults can be saved to text files using Save or SaveAs." +
+      "\nAll the values on the four tabs are output to the file chosen," +
+      "\nand are tab separated to assist input to other programs," +
+      "\nfor example, spreadsheets or text editors." +
+      "\nNote: when importing to Excel, by default only 10 decimal digits are shown by Excel:" +
+      "\nit is necessary to format all cells to display the full 15 decimal digits," +
+      "\nalthough not all computed values will be as accurate as this." +
+      "\n\nValues shown as NaN cannot be calculated for the value given," +
+      "\nmost commonly because the value is outside the range for the distribution." +
+      "\n" +
+      "\nFor more information, including downloads, see " +
+      "\nhttp://sourceforge.net/projects/distexplorer/" +
+      "\n(Note that .NET framework 4.0 and VC Redistribution X86 are requirements for this program.)" +
+      "\n\nCopyright John Maddock & Paul A. Bristow 2007, 2009, 2010, 2012";
+
+      MessageBox.Show("Statistical Distribution Explorer\n" + helpText);
+    }
+
+    private void newToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      MessageBox.Show("New is not yet implemented.");
+    }
+
+    private void openToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      MessageBox.Show("Open is not yet implemented.");
+    }
+
+    private void printToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      MessageBox.Show("Print is not yet implemented." +
+        "\nSave all values to a text file and print that file.");
+    }
+
+    private void printPreviewToolStripMenuItem_Click(object sender, EventArgs e)
+    {
+      MessageBox.Show("Print Preview is not yet implemented." +
+        "\nSave all values to a text file and print that file.");
+    }
+
+
+    private void exitToolStripMenuItem_Click(object sender, EventArgs e)
+    { // exit DistexForm
+        this.Close();
+    }
+  } // class DistexForm
+} // namespace distribution_explorer
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.resx b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.resx
new file mode 100644
index 00000000..5019fd5c
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexForm.resx
@@ -0,0 +1,294 @@
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+  <metadata name="saveFileDialog.TrayLocation" type="System.Drawing.Point, System.Drawing, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a">
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+        u7u7u7u7RLtES7u7u7RLu7u7u7u7u7S7tLu7u7u7S7u7u7u7u7u7u7u7u7u7u7u7u7u0RLu7RERERERE
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+        u7u7RLu7u7u7u7tLu7u7u7u7u7S7u7u7u7u7u7u7u7u7u7u7u7u7u7u7tERERERERERERERERERES7u7
+        u7u7u7u7u7u7u7u7u7u7u7u7u7u7REu7u7u7u7u7u7u7u7u7u7S7u7u7u7u7u7u7u7u7u7u0u7u7u7u7
+        u7u7u7u7u7u7tLu7u7u7u7u7u7u7u7u7u0S7u7u7u7u7u7u7u7u7u7u0u7u7u7u7u7sAAAAAAAAAAAAA
+        AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
+        AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==
+</value>
+  </data>
+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.Designer.cs
new file mode 100644
index 00000000..a37157eb
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.Designer.cs
@@ -0,0 +1,141 @@
+namespace distribution_explorer
+{
+    partial class distexSplash
+    {
+        /// <summary>
+        /// Required designer variable.
+        /// </summary>
+        private System.ComponentModel.IContainer components = null;
+
+        /// <summary>
+        /// Clean up any resources being used.
+        /// </summary>
+        /// <param name="disposing">true if managed resources should be disposed; otherwise, false.</param>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing && (components != null))
+            {
+                components.Dispose();
+            }
+            base.Dispose(disposing);
+        }
+
+        #region Windows Form Designer generated code
+
+        /// <summary>
+        /// Required method for Designer support - do not modify
+        /// the contents of this method with the code editor.
+        /// </summary>
+        private void InitializeComponent()
+        {
+      System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(distexSplash));
+      this.labelApplicationTitle = new System.Windows.Forms.Label();
+      this.labelApplicationVersion = new System.Windows.Forms.Label();
+      this.labelApplicationCopyright = new System.Windows.Forms.Label();
+      this.labelApplicationDescription = new System.Windows.Forms.Label();
+      this.pictureBox1 = new System.Windows.Forms.PictureBox();
+      this.groupBox1 = new System.Windows.Forms.GroupBox();
+      ((System.ComponentModel.ISupportInitialize)(this.pictureBox1)).BeginInit();
+      this.groupBox1.SuspendLayout();
+      this.SuspendLayout();
+      // 
+      // labelApplicationTitle
+      // 
+      this.labelApplicationTitle.BackColor = System.Drawing.SystemColors.Control;
+      this.labelApplicationTitle.Font = new System.Drawing.Font("Microsoft Sans Serif", 24F);
+      this.labelApplicationTitle.ForeColor = System.Drawing.Color.Black;
+      this.labelApplicationTitle.Location = new System.Drawing.Point(331, 27);
+      this.labelApplicationTitle.Name = "labelApplicationTitle";
+      this.labelApplicationTitle.Size = new System.Drawing.Size(313, 133);
+      this.labelApplicationTitle.TabIndex = 0;
+      this.labelApplicationTitle.Text = "labelApplicationTitle";
+      this.labelApplicationTitle.TextAlign = System.Drawing.ContentAlignment.TopCenter;
+      // 
+      // labelApplicationVersion
+      // 
+      this.labelApplicationVersion.BackColor = System.Drawing.SystemColors.Control;
+      this.labelApplicationVersion.Font = new System.Drawing.Font("Microsoft Sans Serif", 12F, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point, ((byte)(0)));
+      this.labelApplicationVersion.ForeColor = System.Drawing.SystemColors.ControlText;
+      this.labelApplicationVersion.Location = new System.Drawing.Point(302, 158);
+      this.labelApplicationVersion.Name = "labelApplicationVersion";
+      this.labelApplicationVersion.Size = new System.Drawing.Size(320, 20);
+      this.labelApplicationVersion.TabIndex = 1;
+      this.labelApplicationVersion.Text = "labelApplicationVersion";
+      this.labelApplicationVersion.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+      this.labelApplicationVersion.Click += new System.EventHandler(this.labelApplicationVersion_Click);
+      // 
+      // labelApplicationCopyright
+      // 
+      this.labelApplicationCopyright.BackColor = System.Drawing.SystemColors.Control;
+      this.labelApplicationCopyright.Font = new System.Drawing.Font("Microsoft Sans Serif", 12F);
+      this.labelApplicationCopyright.ForeColor = System.Drawing.SystemColors.ControlText;
+      this.labelApplicationCopyright.Location = new System.Drawing.Point(59, 191);
+      this.labelApplicationCopyright.Name = "labelApplicationCopyright";
+      this.labelApplicationCopyright.Size = new System.Drawing.Size(563, 20);
+      this.labelApplicationCopyright.TabIndex = 2;
+      this.labelApplicationCopyright.Text = "labelApplicationCopyright";
+      this.labelApplicationCopyright.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+      // 
+      // labelApplicationDescription
+      // 
+      this.labelApplicationDescription.Font = new System.Drawing.Font("Microsoft Sans Serif", 12F);
+      this.labelApplicationDescription.ForeColor = System.Drawing.SystemColors.ControlText;
+      this.labelApplicationDescription.Location = new System.Drawing.Point(27, 234);
+      this.labelApplicationDescription.Name = "labelApplicationDescription";
+      this.labelApplicationDescription.Size = new System.Drawing.Size(608, 29);
+      this.labelApplicationDescription.TabIndex = 3;
+      this.labelApplicationDescription.Text = "labelApplicationDescription";
+      this.labelApplicationDescription.TextAlign = System.Drawing.ContentAlignment.MiddleRight;
+      // 
+      // pictureBox1
+      // 
+      this.pictureBox1.Image = ((System.Drawing.Image)(resources.GetObject("pictureBox1.Image")));
+      this.pictureBox1.Location = new System.Drawing.Point(27, 27);
+      this.pictureBox1.Name = "pictureBox1";
+      this.pictureBox1.Size = new System.Drawing.Size(282, 92);
+      this.pictureBox1.TabIndex = 4;
+      this.pictureBox1.TabStop = false;
+      // 
+      // groupBox1
+      // 
+      this.groupBox1.Controls.Add(this.labelApplicationVersion);
+      this.groupBox1.Controls.Add(this.labelApplicationCopyright);
+      this.groupBox1.Location = new System.Drawing.Point(13, 12);
+      this.groupBox1.Name = "groupBox1";
+      this.groupBox1.Size = new System.Drawing.Size(644, 254);
+      this.groupBox1.TabIndex = 5;
+      this.groupBox1.TabStop = false;
+      // 
+      // distexSplash
+      // 
+      this.AutoScaleDimensions = new System.Drawing.SizeF(8F, 18F);
+      this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
+      this.BackColor = System.Drawing.SystemColors.Control;
+      this.ClientSize = new System.Drawing.Size(669, 276);
+      this.Controls.Add(this.pictureBox1);
+      this.Controls.Add(this.labelApplicationDescription);
+      this.Controls.Add(this.labelApplicationTitle);
+      this.Controls.Add(this.groupBox1);
+      this.Font = new System.Drawing.Font("Tahoma", 9F, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point, ((byte)(0)));
+      this.FormBorderStyle = System.Windows.Forms.FormBorderStyle.None;
+      this.Icon = ((System.Drawing.Icon)(resources.GetObject("$this.Icon")));
+      this.Name = "distexSplash";
+      this.ShowInTaskbar = false;
+      this.StartPosition = System.Windows.Forms.FormStartPosition.CenterScreen;
+      this.Text = "Statistical Distribution Explorer";
+      ((System.ComponentModel.ISupportInitialize)(this.pictureBox1)).EndInit();
+      this.groupBox1.ResumeLayout(false);
+      this.ResumeLayout(false);
+
+        }
+
+        #endregion
+
+        private System.Windows.Forms.Label labelApplicationTitle;
+        private System.Windows.Forms.Label labelApplicationVersion;
+      private System.Windows.Forms.Label labelApplicationCopyright;
+      private System.Windows.Forms.Label labelApplicationDescription;
+        private System.Windows.Forms.PictureBox pictureBox1;
+        private System.Windows.Forms.GroupBox groupBox1;
+    }
+}
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.cs
new file mode 100644
index 00000000..9aa07084
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.cs
@@ -0,0 +1,126 @@
+using System;
+using System.Collections.Generic;
+using System.ComponentModel;
+using System.Data;
+using System.Drawing;
+using System.Text;
+using System.Windows.Forms;
+using System.Reflection;
+
+namespace distribution_explorer
+{   /// namespace distribution_explorer
+    public partial class distexSplash : Form
+    {  /// Splash
+        public distexSplash()
+        { 
+            InitializeComponent();
+            this.labelApplicationTitle.Text = AssemblyTitle;
+            this.labelApplicationDescription.Text = AssemblyDescription;
+            this.labelApplicationCopyright.Text = AssemblyCopyright;
+            this.labelApplicationVersion.Text = "Version " + AssemblyVersion;
+        }
+
+       #region Assembly Attribute Accessors
+        /// get AssemblyTitle
+        public string AssemblyTitle
+        { 
+            get
+            {
+                // Get all Title attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyTitleAttribute), false);
+                // If there is at least one Title attribute
+                if (attributes.Length > 0)
+                {
+                    // Select the first one
+                    AssemblyTitleAttribute titleAttribute = (AssemblyTitleAttribute)attributes[0];
+                    // If it is not an empty string, return it
+                    if (titleAttribute.Title != "")
+                        return titleAttribute.Title;
+                }
+                // If there was no Title attribute, or if the Title attribute was the empty string, return the .exe name
+                return System.IO.Path.GetFileNameWithoutExtension(Assembly.GetExecutingAssembly().CodeBase);
+            }
+        }
+        /// get AssemblyVersion
+        public string AssemblyVersion
+        {
+            get
+            {
+                return Assembly.GetExecutingAssembly().GetName().Version.ToString();
+            }
+        }
+
+        //public string AssemblyGuid
+        //{ // error CS0117: 'System.Reflection.AssemblyName' does not contain a definition for 'Guid'
+        //    get
+        //    {
+        //        return Assembly.GetExecutingAssembly().GetName().Guid.ToString();
+        //    }
+        //}
+      /// get AssemblyDescription
+        public string AssemblyDescription
+        {
+            get
+            {
+                // Get all Description attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyDescriptionAttribute), false);
+                // If there aren't any Description attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Description attribute, return its value
+                return ((AssemblyDescriptionAttribute)attributes[0]).Description;
+            }
+        }
+        /// get AssemblyProduct
+        public string AssemblyProduct
+        {
+            get
+            {
+                // Get all Product attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyProductAttribute), false);
+                // If there aren't any Product attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Product attribute, return its value
+                return ((AssemblyProductAttribute)attributes[0]).Product;
+            }
+        }
+        /// get AssemblyCopyright
+        public string AssemblyCopyright
+        {
+            get
+            {
+                // Get all Copyright attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCopyrightAttribute), false);
+                // If there aren't any Copyright attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Copyright attribute, return its value
+                return ((AssemblyCopyrightAttribute)attributes[0]).Copyright;
+            }
+        }
+        /// get AssemblyCompany
+        public string AssemblyCompany
+        {
+            get
+            {
+                // Get all Company attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCompanyAttribute), false);
+                // If there aren't any Company attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Company attribute, return its value
+                return ((AssemblyCompanyAttribute)attributes[0]).Company;
+            }
+        }
+        #endregion
+
+      private void labelApplicationVersion_Click(object sender, EventArgs e)
+      {
+
+      }
+    }
+}
+
+
+
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.resx b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.resx
new file mode 100644
index 00000000..d12898c4
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/DistexSplash.resx
@@ -0,0 +1,384 @@
+<?xml version="1.0" encoding="utf-8"?>
+<root>
+  <!-- 
+    Microsoft ResX Schema 
+    
+    Version 2.0
+    
+    The primary goals of this format is to allow a simple XML format 
+    that is mostly human readable. The generation and parsing of the 
+    various data types are done through the TypeConverter classes 
+    associated with the data types.
+    
+    Example:
+    
+    ... ado.net/XML headers & schema ...
+    <resheader name="resmimetype">text/microsoft-resx</resheader>
+    <resheader name="version">2.0</resheader>
+    <resheader name="reader">System.Resources.ResXResourceReader, System.Windows.Forms, ...</resheader>
+    <resheader name="writer">System.Resources.ResXResourceWriter, System.Windows.Forms, ...</resheader>
+    <data name="Name1"><value>this is my long string</value><comment>this is a comment</comment></data>
+    <data name="Color1" type="System.Drawing.Color, System.Drawing">Blue</data>
+    <data name="Bitmap1" mimetype="application/x-microsoft.net.object.binary.base64">
+        <value>[base64 mime encoded serialized .NET Framework object]</value>
+    </data>
+    <data name="Icon1" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+        <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
+        <comment>This is a comment</comment>
+    </data>
+                
+    There are any number of "resheader" rows that contain simple 
+    name/value pairs.
+    
+    Each data row contains a name, and value. The row also contains a 
+    type or mimetype. Type corresponds to a .NET class that support 
+    text/value conversion through the TypeConverter architecture. 
+    Classes that don't support this are serialized and stored with the 
+    mimetype set.
+    
+    The mimetype is used for serialized objects, and tells the 
+    ResXResourceReader how to depersist the object. This is currently not 
+    extensible. For a given mimetype the value must be set accordingly:
+    
+    Note - application/x-microsoft.net.object.binary.base64 is the format 
+    that the ResXResourceWriter will generate, however the reader can 
+    read any of the formats listed below.
+    
+    mimetype: application/x-microsoft.net.object.binary.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
+            : and then encoded with base64 encoding.
+    
+    mimetype: application/x-microsoft.net.object.soap.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
+            : and then encoded with base64 encoding.
+
+    mimetype: application/x-microsoft.net.object.bytearray.base64
+    value   : The object must be serialized into a byte array 
+            : using a System.ComponentModel.TypeConverter
+            : and then encoded with base64 encoding.
+    -->
+  <xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
+    <xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
+    <xsd:element name="root" msdata:IsDataSet="true">
+      <xsd:complexType>
+        <xsd:choice maxOccurs="unbounded">
+          <xsd:element name="metadata">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" />
+              </xsd:sequence>
+              <xsd:attribute name="name" use="required" type="xsd:string" />
+              <xsd:attribute name="type" type="xsd:string" />
+              <xsd:attribute name="mimetype" type="xsd:string" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="assembly">
+            <xsd:complexType>
+              <xsd:attribute name="alias" type="xsd:string" />
+              <xsd:attribute name="name" type="xsd:string" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="data">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+                <xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
+              <xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
+              <xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="resheader">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" />
+            </xsd:complexType>
+          </xsd:element>
+        </xsd:choice>
+      </xsd:complexType>
+    </xsd:element>
+  </xsd:schema>
+  <resheader name="resmimetype">
+    <value>text/microsoft-resx</value>
+  </resheader>
+  <resheader name="version">
+    <value>2.0</value>
+  </resheader>
+  <resheader name="reader">
+    <value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <resheader name="writer">
+    <value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <assembly alias="System.Drawing" name="System.Drawing, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a" />
+  <data name="pictureBox1.Image" type="System.Drawing.Bitmap, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+    <value>
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+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/IconToolkit.ico b/src/boost/libs/math/dot_net_example/distribution_explorer/IconToolkit.ico
new file mode 100644
index 00000000..bfd8035c
Binary files /dev/null and b/src/boost/libs/math/dot_net_example/distribution_explorer/IconToolkit.ico differ
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Program.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/Program.cs
new file mode 100644
index 00000000..3a44ac76
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Program.cs
@@ -0,0 +1,20 @@
+using System;
+using System.Collections.Generic;
+using System.Windows.Forms;
+
+namespace distribution_explorer
+{
+    static class Program
+    {
+        /// <summary>
+        /// The main entry point for the application.
+        /// </summary>
+        [STAThread]
+        static void Main()
+        {
+            Application.EnableVisualStyles();
+            Application.SetCompatibleTextRenderingDefault(false);
+            Application.Run(new DistexForm());
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/AssemblyInfo.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/AssemblyInfo.cs
new file mode 100644
index 00000000..1f6d55db
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/AssemblyInfo.cs
@@ -0,0 +1,34 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following 
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("Statistical Distribution Explorer")]
+[assembly: AssemblyDescription("Shows most properties for 31 Statistical Distributions (mean, mode, median, variance, skewness, kurtosis, range).\n Calculates probability distribution function (PDF), cumulative distribution function (CDF), quantiles, and complements, and upper and lower critical values for given risk levels (alpha).")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("Boost 1.52")]
+[assembly: AssemblyProduct("Statistical Distribution Explorer")]
+[assembly: AssemblyCopyright("Copyright © John Maddock & Paul A. Bristow 2007 - 2012")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible 
+// to COM components.  If you need to access a type in this assembly from 
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("a8cd54bd-81b1-4bd3-be18-2cd56fffa1f1")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version 
+//      Build Number
+//      Revision
+//
+[assembly: AssemblyVersion("1.0.1.52")]
+[assembly: AssemblyFileVersion("1.0.1.52")]
+[assembly: AssemblyInformationalVersion("From Boost 1.52")]
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.Designer.cs
new file mode 100644
index 00000000..cb5a05a2
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.Designer.cs
@@ -0,0 +1,70 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     Runtime Version:4.0.30319.1
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+namespace distribution_explorer.Properties {
+    using System;
+    
+    
+    /// <summary>
+    ///   A strongly-typed resource class, for looking up localized strings, etc.
+    /// </summary>
+    // This class was auto-generated by the StronglyTypedResourceBuilder
+    // class via a tool like ResGen or Visual Studio.
+    // To add or remove a member, edit your .ResX file then rerun ResGen
+    // with the /str option, or rebuild your VS project.
+    [global::System.CodeDom.Compiler.GeneratedCodeAttribute("System.Resources.Tools.StronglyTypedResourceBuilder", "4.0.0.0")]
+    [global::System.Diagnostics.DebuggerNonUserCodeAttribute()]
+    [global::System.Runtime.CompilerServices.CompilerGeneratedAttribute()]
+    internal class Resources {
+        
+        private static global::System.Resources.ResourceManager resourceMan;
+        
+        private static global::System.Globalization.CultureInfo resourceCulture;
+        
+        [global::System.Diagnostics.CodeAnalysis.SuppressMessageAttribute("Microsoft.Performance", "CA1811:AvoidUncalledPrivateCode")]
+        internal Resources() {
+        }
+        
+        /// <summary>
+        ///   Returns the cached ResourceManager instance used by this class.
+        /// </summary>
+        [global::System.ComponentModel.EditorBrowsableAttribute(global::System.ComponentModel.EditorBrowsableState.Advanced)]
+        internal static global::System.Resources.ResourceManager ResourceManager {
+            get {
+                if (object.ReferenceEquals(resourceMan, null)) {
+                    global::System.Resources.ResourceManager temp = new global::System.Resources.ResourceManager("distribution_explorer.Properties.Resources", typeof(Resources).Assembly);
+                    resourceMan = temp;
+                }
+                return resourceMan;
+            }
+        }
+        
+        /// <summary>
+        ///   Overrides the current thread's CurrentUICulture property for all
+        ///   resource lookups using this strongly typed resource class.
+        /// </summary>
+        [global::System.ComponentModel.EditorBrowsableAttribute(global::System.ComponentModel.EditorBrowsableState.Advanced)]
+        internal static global::System.Globalization.CultureInfo Culture {
+            get {
+                return resourceCulture;
+            }
+            set {
+                resourceCulture = value;
+            }
+        }
+        
+        internal static System.Drawing.Bitmap ToolkitLogo {
+            get {
+                object obj = ResourceManager.GetObject("ToolkitLogo", resourceCulture);
+                return ((System.Drawing.Bitmap)(obj));
+            }
+        }
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.resx b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.resx
new file mode 100644
index 00000000..0eba41ff
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Resources.resx
@@ -0,0 +1,124 @@
+<?xml version="1.0" encoding="utf-8"?>
+<root>
+  <!-- 
+    Microsoft ResX Schema 
+    
+    Version 2.0
+    
+    The primary goals of this format is to allow a simple XML format 
+    that is mostly human readable. The generation and parsing of the 
+    various data types are done through the TypeConverter classes 
+    associated with the data types.
+    
+    Example:
+    
+    ... ado.net/XML headers & schema ...
+    <resheader name="resmimetype">text/microsoft-resx</resheader>
+    <resheader name="version">2.0</resheader>
+    <resheader name="reader">System.Resources.ResXResourceReader, System.Windows.Forms, ...</resheader>
+    <resheader name="writer">System.Resources.ResXResourceWriter, System.Windows.Forms, ...</resheader>
+    <data name="Name1"><value>this is my long string</value><comment>this is a comment</comment></data>
+    <data name="Color1" type="System.Drawing.Color, System.Drawing">Blue</data>
+    <data name="Bitmap1" mimetype="application/x-microsoft.net.object.binary.base64">
+        <value>[base64 mime encoded serialized .NET Framework object]</value>
+    </data>
+    <data name="Icon1" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+        <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
+        <comment>This is a comment</comment>
+    </data>
+                
+    There are any number of "resheader" rows that contain simple 
+    name/value pairs.
+    
+    Each data row contains a name, and value. The row also contains a 
+    type or mimetype. Type corresponds to a .NET class that support 
+    text/value conversion through the TypeConverter architecture. 
+    Classes that don't support this are serialized and stored with the 
+    mimetype set.
+    
+    The mimetype is used for serialized objects, and tells the 
+    ResXResourceReader how to depersist the object. This is currently not 
+    extensible. For a given mimetype the value must be set accordingly:
+    
+    Note - application/x-microsoft.net.object.binary.base64 is the format 
+    that the ResXResourceWriter will generate, however the reader can 
+    read any of the formats listed below.
+    
+    mimetype: application/x-microsoft.net.object.binary.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
+            : and then encoded with base64 encoding.
+    
+    mimetype: application/x-microsoft.net.object.soap.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
+            : and then encoded with base64 encoding.
+
+    mimetype: application/x-microsoft.net.object.bytearray.base64
+    value   : The object must be serialized into a byte array 
+            : using a System.ComponentModel.TypeConverter
+            : and then encoded with base64 encoding.
+    -->
+  <xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
+    <xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
+    <xsd:element name="root" msdata:IsDataSet="true">
+      <xsd:complexType>
+        <xsd:choice maxOccurs="unbounded">
+          <xsd:element name="metadata">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" />
+              </xsd:sequence>
+              <xsd:attribute name="name" use="required" type="xsd:string" />
+              <xsd:attribute name="type" type="xsd:string" />
+              <xsd:attribute name="mimetype" type="xsd:string" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="assembly">
+            <xsd:complexType>
+              <xsd:attribute name="alias" type="xsd:string" />
+              <xsd:attribute name="name" type="xsd:string" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="data">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+                <xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
+              <xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
+              <xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="resheader">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" />
+            </xsd:complexType>
+          </xsd:element>
+        </xsd:choice>
+      </xsd:complexType>
+    </xsd:element>
+  </xsd:schema>
+  <resheader name="resmimetype">
+    <value>text/microsoft-resx</value>
+  </resheader>
+  <resheader name="version">
+    <value>2.0</value>
+  </resheader>
+  <resheader name="reader">
+    <value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <resheader name="writer">
+    <value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <assembly alias="System.Windows.Forms" name="System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089" />
+  <data name="ToolkitLogo" type="System.Resources.ResXFileRef, System.Windows.Forms">
+    <value>..\ToolkitLogo.bmp;System.Drawing.Bitmap, System.Drawing, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a</value>
+  </data>
+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.Designer.cs
new file mode 100644
index 00000000..14afa0d7
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.Designer.cs
@@ -0,0 +1,26 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     Runtime Version:4.0.30319.1
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+namespace distribution_explorer.Properties {
+    
+    
+    [global::System.Runtime.CompilerServices.CompilerGeneratedAttribute()]
+    [global::System.CodeDom.Compiler.GeneratedCodeAttribute("Microsoft.VisualStudio.Editors.SettingsDesigner.SettingsSingleFileGenerator", "10.0.0.0")]
+    internal sealed partial class Settings : global::System.Configuration.ApplicationSettingsBase {
+        
+        private static Settings defaultInstance = ((Settings)(global::System.Configuration.ApplicationSettingsBase.Synchronized(new Settings())));
+        
+        public static Settings Default {
+            get {
+                return defaultInstance;
+            }
+        }
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.settings b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.settings
new file mode 100644
index 00000000..39645652
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/Settings.settings
@@ -0,0 +1,7 @@
+<?xml version='1.0' encoding='utf-8'?>
+<SettingsFile xmlns="http://schemas.microsoft.com/VisualStudio/2004/01/settings" CurrentProfile="(Default)">
+  <Profiles>
+    <Profile Name="(Default)" />
+  </Profiles>
+  <Settings />
+</SettingsFile>
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/app.manifest b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/app.manifest
new file mode 100644
index 00000000..a78d4c9a
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Properties/app.manifest
@@ -0,0 +1,11 @@
+<?xml version="1.0" encoding="utf-8"?>
+<asmv1:assembly manifestVersion="1.0" xmlns="urn:schemas-microsoft-com:asm.v1" xmlns:asmv1="urn:schemas-microsoft-com:asm.v1" xmlns:asmv2="urn:schemas-microsoft-com:asm.v2" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
+  <trustInfo xmlns="urn:schemas-microsoft-com:asm.v2">
+    <security>
+      <applicationRequestMinimum>
+        <PermissionSet class="System.Security.PermissionSet" version="1" Unrestricted="true" ID="Custom" SameSite="site" />
+        <defaultAssemblyRequest permissionSetReference="Custom" />
+      </applicationRequestMinimum>
+    </security>
+  </trustInfo>
+</asmv1:assembly>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/Settings.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/Settings.cs
new file mode 100644
index 00000000..d5d2b073
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/Settings.cs
@@ -0,0 +1,28 @@
+namespace distribution_explorer.Properties {
+    
+    
+    // This class allows you to handle specific events on the settings class:
+    //  The SettingChanging event is raised before a setting's value is changed.
+    //  The PropertyChanged event is raised after a setting's value is changed.
+    //  The SettingsLoaded event is raised after the setting values are loaded.
+    //  The SettingsSaving event is raised before the setting values are saved.
+    internal sealed partial class Settings {
+        
+        public Settings() {
+            // // To add event handlers for saving and changing settings, uncomment the lines below:
+            //
+            // this.SettingChanging += this.SettingChangingEventHandler;
+            //
+            // this.SettingsSaving += this.SettingsSavingEventHandler;
+            //
+        }
+        
+        private void SettingChangingEventHandler(object sender, System.Configuration.SettingChangingEventArgs e) {
+            // Add code to handle the SettingChangingEvent event here.
+        }
+        
+        private void SettingsSavingEventHandler(object sender, System.ComponentModel.CancelEventArgs e) {
+            // Add code to handle the SettingsSaving event here.
+        }
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/ToolkitLogo.bmp b/src/boost/libs/math/dot_net_example/distribution_explorer/ToolkitLogo.bmp
new file mode 100644
index 00000000..c712ff58
Binary files /dev/null and b/src/boost/libs/math/dot_net_example/distribution_explorer/ToolkitLogo.bmp differ
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/boost.png b/src/boost/libs/math/dot_net_example/distribution_explorer/boost.png
new file mode 100644
index 00000000..461cf27b
Binary files /dev/null and b/src/boost/libs/math/dot_net_example/distribution_explorer/boost.png differ
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.Designer.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.Designer.cs
new file mode 100644
index 00000000..5d05ce64
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.Designer.cs
@@ -0,0 +1,190 @@
+namespace distribution_explorer
+{
+    partial class distexAboutBox
+    {
+        /// <summary>
+        /// Required designer variable.
+        /// </summary>
+        private System.ComponentModel.IContainer components = null;
+
+        /// <summary>
+        /// Clean up any resources being used.
+        /// </summary>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing && (components != null))
+            {
+                components.Dispose();
+            }
+            base.Dispose(disposing);
+        }
+
+        #region Windows Form Designer generated code
+
+        /// <summary>
+        /// Required method for Designer support - do not modify
+        /// the contents of this method with the code editor.
+        /// </summary>
+        private void InitializeComponent()
+        {
+          this.tableLayoutPanel = new System.Windows.Forms.TableLayoutPanel();
+          this.logoPictureBox = new System.Windows.Forms.PictureBox();
+          this.labelProductName = new System.Windows.Forms.Label();
+          this.labelVersion = new System.Windows.Forms.Label();
+          this.labelCopyright = new System.Windows.Forms.Label();
+          this.labelCompanyName = new System.Windows.Forms.Label();
+          this.textBoxDescription = new System.Windows.Forms.TextBox();
+          this.okButton = new System.Windows.Forms.Button();
+          this.tableLayoutPanel.SuspendLayout();
+          ((System.ComponentModel.ISupportInitialize)(this.logoPictureBox)).BeginInit();
+          this.SuspendLayout();
+          // 
+          // tableLayoutPanel
+          // 
+          this.tableLayoutPanel.ColumnCount = 2;
+          this.tableLayoutPanel.ColumnStyles.Add(new System.Windows.Forms.ColumnStyle(System.Windows.Forms.SizeType.Percent, 33F));
+          this.tableLayoutPanel.ColumnStyles.Add(new System.Windows.Forms.ColumnStyle(System.Windows.Forms.SizeType.Percent, 67F));
+          this.tableLayoutPanel.Controls.Add(this.logoPictureBox, 0, 0);
+          this.tableLayoutPanel.Controls.Add(this.labelProductName, 1, 0);
+          this.tableLayoutPanel.Controls.Add(this.labelVersion, 1, 1);
+          this.tableLayoutPanel.Controls.Add(this.labelCopyright, 1, 2);
+          this.tableLayoutPanel.Controls.Add(this.labelCompanyName, 1, 3);
+          this.tableLayoutPanel.Controls.Add(this.textBoxDescription, 1, 4);
+          this.tableLayoutPanel.Controls.Add(this.okButton, 1, 5);
+          this.tableLayoutPanel.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.tableLayoutPanel.Location = new System.Drawing.Point(12, 11);
+          this.tableLayoutPanel.Margin = new System.Windows.Forms.Padding(4);
+          this.tableLayoutPanel.Name = "tableLayoutPanel";
+          this.tableLayoutPanel.RowCount = 6;
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 50F));
+          this.tableLayoutPanel.RowStyles.Add(new System.Windows.Forms.RowStyle(System.Windows.Forms.SizeType.Percent, 10F));
+          this.tableLayoutPanel.Size = new System.Drawing.Size(556, 326);
+          this.tableLayoutPanel.TabIndex = 0;
+          // 
+          // logoPictureBox
+          // 
+          this.logoPictureBox.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.logoPictureBox.Image = global::distribution_explorer.Properties.Resources.ToolkitLogo;
+          this.logoPictureBox.InitialImage = global::distribution_explorer.Properties.Resources.ToolkitLogo;
+          this.logoPictureBox.Location = new System.Drawing.Point(4, 4);
+          this.logoPictureBox.Margin = new System.Windows.Forms.Padding(4);
+          this.logoPictureBox.Name = "logoPictureBox";
+          this.tableLayoutPanel.SetRowSpan(this.logoPictureBox, 6);
+          this.logoPictureBox.Size = new System.Drawing.Size(175, 318);
+          this.logoPictureBox.SizeMode = System.Windows.Forms.PictureBoxSizeMode.StretchImage;
+          this.logoPictureBox.TabIndex = 12;
+          this.logoPictureBox.TabStop = false;
+          // 
+          // labelProductName
+          // 
+          this.labelProductName.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.labelProductName.Location = new System.Drawing.Point(191, 0);
+          this.labelProductName.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+          this.labelProductName.MaximumSize = new System.Drawing.Size(0, 21);
+          this.labelProductName.Name = "labelProductName";
+          this.labelProductName.Size = new System.Drawing.Size(361, 21);
+          this.labelProductName.TabIndex = 19;
+          this.labelProductName.Text = "Product Name";
+          this.labelProductName.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+          // 
+          // labelVersion
+          // 
+          this.labelVersion.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.labelVersion.Location = new System.Drawing.Point(191, 32);
+          this.labelVersion.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+          this.labelVersion.MaximumSize = new System.Drawing.Size(0, 21);
+          this.labelVersion.Name = "labelVersion";
+          this.labelVersion.Size = new System.Drawing.Size(361, 21);
+          this.labelVersion.TabIndex = 0;
+          this.labelVersion.Text = "Version";
+          this.labelVersion.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+          // 
+          // labelCopyright
+          // 
+          this.labelCopyright.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.labelCopyright.Location = new System.Drawing.Point(191, 64);
+          this.labelCopyright.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+          this.labelCopyright.MaximumSize = new System.Drawing.Size(0, 21);
+          this.labelCopyright.Name = "labelCopyright";
+          this.labelCopyright.Size = new System.Drawing.Size(361, 21);
+          this.labelCopyright.TabIndex = 21;
+          this.labelCopyright.Text = "Copyright";
+          this.labelCopyright.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+          // 
+          // labelCompanyName
+          // 
+          this.labelCompanyName.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.labelCompanyName.Location = new System.Drawing.Point(191, 96);
+          this.labelCompanyName.Margin = new System.Windows.Forms.Padding(8, 0, 4, 0);
+          this.labelCompanyName.MaximumSize = new System.Drawing.Size(0, 21);
+          this.labelCompanyName.Name = "labelCompanyName";
+          this.labelCompanyName.Size = new System.Drawing.Size(361, 21);
+          this.labelCompanyName.TabIndex = 22;
+          this.labelCompanyName.Text = "Company Name";
+          this.labelCompanyName.TextAlign = System.Drawing.ContentAlignment.MiddleLeft;
+          // 
+          // textBoxDescription
+          // 
+          this.textBoxDescription.Dock = System.Windows.Forms.DockStyle.Fill;
+          this.textBoxDescription.Location = new System.Drawing.Point(191, 132);
+          this.textBoxDescription.Margin = new System.Windows.Forms.Padding(8, 4, 4, 4);
+          this.textBoxDescription.Multiline = true;
+          this.textBoxDescription.Name = "textBoxDescription";
+          this.textBoxDescription.ReadOnly = true;
+          this.textBoxDescription.ScrollBars = System.Windows.Forms.ScrollBars.Both;
+          this.textBoxDescription.Size = new System.Drawing.Size(361, 155);
+          this.textBoxDescription.TabIndex = 23;
+          this.textBoxDescription.TabStop = false;
+          this.textBoxDescription.Text = "Description";
+          // 
+          // okButton
+          // 
+          this.okButton.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Bottom | System.Windows.Forms.AnchorStyles.Right)));
+          this.okButton.DialogResult = System.Windows.Forms.DialogResult.Cancel;
+          this.okButton.Location = new System.Drawing.Point(452, 295);
+          this.okButton.Margin = new System.Windows.Forms.Padding(4);
+          this.okButton.Name = "okButton";
+          this.okButton.Size = new System.Drawing.Size(100, 27);
+          this.okButton.TabIndex = 24;
+          this.okButton.Text = "&OK";
+          // 
+          // distexAboutBox
+          // 
+          this.AcceptButton = this.okButton;
+          this.AutoScaleDimensions = new System.Drawing.SizeF(8F, 16F);
+          this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
+          this.ClientSize = new System.Drawing.Size(580, 348);
+          this.Controls.Add(this.tableLayoutPanel);
+          this.FormBorderStyle = System.Windows.Forms.FormBorderStyle.FixedDialog;
+          this.Margin = new System.Windows.Forms.Padding(4);
+          this.MaximizeBox = false;
+          this.MinimizeBox = false;
+          this.Name = "distexAboutBox";
+          this.Padding = new System.Windows.Forms.Padding(12, 11, 12, 11);
+          this.ShowIcon = false;
+          this.ShowInTaskbar = false;
+          this.StartPosition = System.Windows.Forms.FormStartPosition.CenterParent;
+          this.Text = "About Statistical Distribution Explorer";
+          this.tableLayoutPanel.ResumeLayout(false);
+          this.tableLayoutPanel.PerformLayout();
+          ((System.ComponentModel.ISupportInitialize)(this.logoPictureBox)).EndInit();
+          this.ResumeLayout(false);
+
+        }
+
+        #endregion
+
+        private System.Windows.Forms.TableLayoutPanel tableLayoutPanel;
+        private System.Windows.Forms.PictureBox logoPictureBox;
+        private System.Windows.Forms.Label labelProductName;
+        private System.Windows.Forms.Label labelVersion;
+        private System.Windows.Forms.Label labelCopyright;
+        private System.Windows.Forms.Label labelCompanyName;
+        private System.Windows.Forms.TextBox textBoxDescription;
+        private System.Windows.Forms.Button okButton;
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.cs b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.cs
new file mode 100644
index 00000000..b8aa9249
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.cs
@@ -0,0 +1,116 @@
+using System;
+using System.Collections.Generic;
+using System.ComponentModel;
+using System.Drawing;
+using System.Windows.Forms;
+using System.Reflection;
+
+namespace distribution_explorer
+{
+    partial class distexAboutBox : Form
+    {
+        public distexAboutBox()
+        {
+            InitializeComponent();
+
+            //  Initialize the AboutBox to display the product information from the assembly information.
+            //  Change assembly information settings for your application through either:
+            //  - Project->Properties->Application->Assembly Information
+            //  - AssemblyInfo.cs
+            this.Text = String.Format("About {0}", AssemblyTitle);
+            this.labelProductName.Text = AssemblyProduct;
+            this.labelVersion.Text = String.Format("Version {0}", AssemblyVersion);
+            this.labelCopyright.Text = AssemblyCopyright;
+            this.labelCompanyName.Text = AssemblyCompany;
+            this.textBoxDescription.Text = AssemblyDescription;
+          // URL http://sourceforge.net/projects/distexplorer
+        }
+
+       #region Assembly Attribute Accessors
+
+        public string AssemblyTitle
+        {
+            get
+            {
+                // Get all Title attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyTitleAttribute), false);
+                // If there is at least one Title attribute
+                if (attributes.Length > 0)
+                {
+                    // Select the first one
+                    AssemblyTitleAttribute titleAttribute = (AssemblyTitleAttribute)attributes[0];
+                    // If it is not an empty string, return it
+                    if (titleAttribute.Title != "")
+                        return titleAttribute.Title;
+                }
+                // If there was no Title attribute, or if the Title attribute was the empty string, return the .exe name
+                return System.IO.Path.GetFileNameWithoutExtension(Assembly.GetExecutingAssembly().CodeBase);
+            }
+        }
+
+        public string AssemblyVersion
+        {
+            get
+            {
+                return Assembly.GetExecutingAssembly().GetName().Version.ToString();
+            }
+        }
+
+        public string AssemblyDescription
+        {
+            get
+            {
+                // Get all Description attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyDescriptionAttribute), false);
+                // If there aren't any Description attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Description attribute, return its value
+                return ((AssemblyDescriptionAttribute)attributes[0]).Description;
+            }
+        }
+
+        public string AssemblyProduct
+        {
+            get
+            {
+                // Get all Product attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyProductAttribute), false);
+                // If there aren't any Product attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Product attribute, return its value
+                return ((AssemblyProductAttribute)attributes[0]).Product;
+            }
+        }
+
+        public string AssemblyCopyright
+        {
+            get
+            {
+                // Get all Copyright attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCopyrightAttribute), false);
+                // If there aren't any Copyright attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Copyright attribute, return its value
+                return ((AssemblyCopyrightAttribute)attributes[0]).Copyright;
+            }
+        }
+
+        public string AssemblyCompany
+        {
+            get
+            {
+                // Get all Company attributes on this assembly
+                object[] attributes = Assembly.GetExecutingAssembly().GetCustomAttributes(typeof(AssemblyCompanyAttribute), false);
+                // If there aren't any Company attributes, return an empty string
+                if (attributes.Length == 0)
+                    return "";
+                // If there is a Company attribute, return its value
+                return ((AssemblyCompanyAttribute)attributes[0]).Company;
+            }
+        }
+        #endregion
+    }
+}
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.resx b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.resx
new file mode 100644
index 00000000..d58980a3
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distexAboutBox.resx
@@ -0,0 +1,120 @@
+<?xml version="1.0" encoding="utf-8"?>
+<root>
+  <!-- 
+    Microsoft ResX Schema 
+    
+    Version 2.0
+    
+    The primary goals of this format is to allow a simple XML format 
+    that is mostly human readable. The generation and parsing of the 
+    various data types are done through the TypeConverter classes 
+    associated with the data types.
+    
+    Example:
+    
+    ... ado.net/XML headers & schema ...
+    <resheader name="resmimetype">text/microsoft-resx</resheader>
+    <resheader name="version">2.0</resheader>
+    <resheader name="reader">System.Resources.ResXResourceReader, System.Windows.Forms, ...</resheader>
+    <resheader name="writer">System.Resources.ResXResourceWriter, System.Windows.Forms, ...</resheader>
+    <data name="Name1"><value>this is my long string</value><comment>this is a comment</comment></data>
+    <data name="Color1" type="System.Drawing.Color, System.Drawing">Blue</data>
+    <data name="Bitmap1" mimetype="application/x-microsoft.net.object.binary.base64">
+        <value>[base64 mime encoded serialized .NET Framework object]</value>
+    </data>
+    <data name="Icon1" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+        <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
+        <comment>This is a comment</comment>
+    </data>
+                
+    There are any number of "resheader" rows that contain simple 
+    name/value pairs.
+    
+    Each data row contains a name, and value. The row also contains a 
+    type or mimetype. Type corresponds to a .NET class that support 
+    text/value conversion through the TypeConverter architecture. 
+    Classes that don't support this are serialized and stored with the 
+    mimetype set.
+    
+    The mimetype is used for serialized objects, and tells the 
+    ResXResourceReader how to depersist the object. This is currently not 
+    extensible. For a given mimetype the value must be set accordingly:
+    
+    Note - application/x-microsoft.net.object.binary.base64 is the format 
+    that the ResXResourceWriter will generate, however the reader can 
+    read any of the formats listed below.
+    
+    mimetype: application/x-microsoft.net.object.binary.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
+            : and then encoded with base64 encoding.
+    
+    mimetype: application/x-microsoft.net.object.soap.base64
+    value   : The object must be serialized with 
+            : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
+            : and then encoded with base64 encoding.
+
+    mimetype: application/x-microsoft.net.object.bytearray.base64
+    value   : The object must be serialized into a byte array 
+            : using a System.ComponentModel.TypeConverter
+            : and then encoded with base64 encoding.
+    -->
+  <xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
+    <xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
+    <xsd:element name="root" msdata:IsDataSet="true">
+      <xsd:complexType>
+        <xsd:choice maxOccurs="unbounded">
+          <xsd:element name="metadata">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" />
+              </xsd:sequence>
+              <xsd:attribute name="name" use="required" type="xsd:string" />
+              <xsd:attribute name="type" type="xsd:string" />
+              <xsd:attribute name="mimetype" type="xsd:string" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="assembly">
+            <xsd:complexType>
+              <xsd:attribute name="alias" type="xsd:string" />
+              <xsd:attribute name="name" type="xsd:string" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="data">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+                <xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
+              <xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
+              <xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="resheader">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" />
+            </xsd:complexType>
+          </xsd:element>
+        </xsd:choice>
+      </xsd:complexType>
+    </xsd:element>
+  </xsd:schema>
+  <resheader name="resmimetype">
+    <value>text/microsoft-resx</value>
+  </resheader>
+  <resheader name="version">
+    <value>2.0</value>
+  </resheader>
+  <resheader name="reader">
+    <value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <resheader name="writer">
+    <value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+</root>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distribution.txt b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution.txt
new file mode 100644
index 00000000..f99b6b2e
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution.txt
@@ -0,0 +1,10 @@
+Statistical Distribution Explorer
+Version 1.0.1.52
+Company Boost Use, modification and distribution are subject to the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+Copyright Copyright © John Maddock and Paul A. Bristow 2009, 2010, 2012
+Product Distribution_Explorer
+Title Distribution_Explorer
+Mean
+MeanParameter 1 0
+Parameter 2 1
+
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj
new file mode 100644
index 00000000..591341b0
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj
@@ -0,0 +1,216 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003" ToolsVersion="4.0">
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProductVersion>9.0.21022</ProductVersion>
+    <SchemaVersion>2.0</SchemaVersion>
+    <ProjectGuid>{77742493-4236-4975-9BD9-AA3611F0DC0E}</ProjectGuid>
+    <OutputType>WinExe</OutputType>
+    <AppDesignerFolder>Properties</AppDesignerFolder>
+    <RootNamespace>distribution_explorer</RootNamespace>
+    <AssemblyName>distribution_explorer</AssemblyName>
+    <ApplicationIcon>
+    </ApplicationIcon>
+    <IsWebBootstrapper>false</IsWebBootstrapper>
+    <ManifestCertificateThumbprint>393B9B4A721C946375D6D44F80492CFFA03E57B5</ManifestCertificateThumbprint>
+    <ManifestKeyFile>distribution_explorer_TemporaryKey.pfx</ManifestKeyFile>
+    <GenerateManifests>true</GenerateManifests>
+    <TargetZone>LocalIntranet</TargetZone>
+    <SignManifests>false</SignManifests>
+    <FileUpgradeFlags>
+    </FileUpgradeFlags>
+    <UpgradeBackupLocation>
+    </UpgradeBackupLocation>
+    <OldToolsVersion>3.5</OldToolsVersion>
+    <TargetFrameworkVersion>v4.0</TargetFrameworkVersion>
+    <TargetFrameworkProfile>Client</TargetFrameworkProfile>
+    <PublishUrl>\\hetpA\H%24\Distex\</PublishUrl>
+    <Install>true</Install>
+    <InstallFrom>Unc</InstallFrom>
+    <UpdateEnabled>false</UpdateEnabled>
+    <UpdateMode>Foreground</UpdateMode>
+    <UpdateInterval>7</UpdateInterval>
+    <UpdateIntervalUnits>Days</UpdateIntervalUnits>
+    <UpdatePeriodically>false</UpdatePeriodically>
+    <UpdateRequired>false</UpdateRequired>
+    <MapFileExtensions>true</MapFileExtensions>
+    <SupportUrl>http://sourceforge.net/projects/distexplorer/</SupportUrl>
+    <ProductName>Statistical Distribution Explorer</ProductName>
+    <PublisherName>hetp</PublisherName>
+    <ApplicationRevision>8</ApplicationRevision>
+    <ApplicationVersion>1.0.1.8</ApplicationVersion>
+    <UseApplicationTrust>false</UseApplicationTrust>
+    <CreateDesktopShortcut>true</CreateDesktopShortcut>
+    <PublishWizardCompleted>true</PublishWizardCompleted>
+    <BootstrapperEnabled>true</BootstrapperEnabled>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+    <UseVSHostingProcess>false</UseVSHostingProcess>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <DebugType>none</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>
+    </DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+    <PlatformTarget>x86</PlatformTarget>
+    <DocumentationFile>bin\Release\distribution_explorer.XML</DocumentationFile>
+    <UseVSHostingProcess>false</UseVSHostingProcess>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)' == 'Debug|x64'">
+    <DebugSymbols>true</DebugSymbols>
+    <OutputPath>bin\x64\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <DebugType>full</DebugType>
+    <PlatformTarget>x64</PlatformTarget>
+    <UseVSHostingProcess>false</UseVSHostingProcess>
+    <ErrorReport>prompt</ErrorReport>
+    <CodeAnalysisRuleSet>MinimumRecommendedRules.ruleset</CodeAnalysisRuleSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)' == 'Release|x64'">
+    <OutputPath>bin\x64\Release\</OutputPath>
+    <DocumentationFile>bin\Release\distribution_explorer.XML</DocumentationFile>
+    <Optimize>true</Optimize>
+    <PlatformTarget>x64</PlatformTarget>
+    <UseVSHostingProcess>false</UseVSHostingProcess>
+    <ErrorReport>prompt</ErrorReport>
+    <CodeAnalysisRuleSet>MinimumRecommendedRules.ruleset</CodeAnalysisRuleSet>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Deployment" />
+    <Reference Include="System.Drawing" />
+    <Reference Include="System.Windows.Forms" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="distexAboutBox.cs">
+      <SubType>Form</SubType>
+    </Compile>
+    <Compile Include="distexAboutBox.Designer.cs">
+      <DependentUpon>distexAboutBox.cs</DependentUpon>
+    </Compile>
+    <Compile Include="DistexForm.cs">
+      <SubType>Form</SubType>
+    </Compile>
+    <Compile Include="DistexForm.Designer.cs">
+      <DependentUpon>DistexForm.cs</DependentUpon>
+    </Compile>
+    <Compile Include="Program.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+    <EmbeddedResource Include="distexAboutBox.resx">
+      <SubType>Designer</SubType>
+      <DependentUpon>distexAboutBox.cs</DependentUpon>
+    </EmbeddedResource>
+    <EmbeddedResource Include="DistexForm.resx">
+      <SubType>Designer</SubType>
+      <DependentUpon>DistexForm.cs</DependentUpon>
+    </EmbeddedResource>
+    <EmbeddedResource Include="Properties\Resources.resx">
+      <Generator>ResXFileCodeGenerator</Generator>
+      <LastGenOutput>Resources.Designer.cs</LastGenOutput>
+      <SubType>Designer</SubType>
+    </EmbeddedResource>
+    <EmbeddedResource Include="DistexSplash.resx">
+      <SubType>Designer</SubType>
+      <DependentUpon>DistexSplash.cs</DependentUpon>
+    </EmbeddedResource>
+    <Compile Include="Properties\Resources.Designer.cs">
+      <AutoGen>True</AutoGen>
+      <DependentUpon>Resources.resx</DependentUpon>
+      <DesignTime>True</DesignTime>
+    </Compile>
+    <None Include="app.config" />
+    <None Include="Properties\Settings.settings">
+      <Generator>SettingsSingleFileGenerator</Generator>
+      <LastGenOutput>Settings.Designer.cs</LastGenOutput>
+    </None>
+    <Compile Include="Properties\Settings.Designer.cs">
+      <AutoGen>True</AutoGen>
+      <DependentUpon>Settings.settings</DependentUpon>
+      <DesignTimeSharedInput>True</DesignTimeSharedInput>
+    </Compile>
+    <Compile Include="DistexSplash.cs">
+      <SubType>Form</SubType>
+    </Compile>
+    <Compile Include="DistexSplash.Designer.cs">
+      <DependentUpon>DistexSplash.cs</DependentUpon>
+    </Compile>
+    <Compile Include="Settings.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <Content Include="IconToolkit.ico">
+      <CopyToOutputDirectory>PreserveNewest</CopyToOutputDirectory>
+    </Content>
+    <None Include="ClassDiagram1.cd" />
+    <None Include="ClassDiagram2.cd" />
+    <None Include="ToolkitLogo.bmp" />
+  </ItemGroup>
+  <ItemGroup>
+    <BootstrapperPackage Include=".NETFramework,Version=v4.0,Profile=Client">
+      <Visible>False</Visible>
+      <ProductName>Microsoft .NET Framework 4 Client Profile %28x86 and x64%29</ProductName>
+      <Install>true</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Net.Client.3.5">
+      <Visible>False</Visible>
+      <ProductName>.NET Framework 3.5 SP1 Client Profile</ProductName>
+      <Install>false</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Net.Framework.2.0">
+      <Visible>False</Visible>
+      <ProductName>.NET Framework 2.0 %28x86%29</ProductName>
+      <Install>false</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Net.Framework.3.0">
+      <Visible>False</Visible>
+      <ProductName>.NET Framework 3.0 %28x86%29</ProductName>
+      <Install>false</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Net.Framework.3.5">
+      <Visible>False</Visible>
+      <ProductName>.NET Framework 3.5</ProductName>
+      <Install>false</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Net.Framework.3.5.SP1">
+      <Visible>False</Visible>
+      <ProductName>.NET Framework 3.5 SP1</ProductName>
+      <Install>false</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Visual.C++.10.0.x86">
+      <Visible>False</Visible>
+      <ProductName>Visual C++ 2010 Runtime Libraries %28x86%29</ProductName>
+      <Install>true</Install>
+    </BootstrapperPackage>
+    <BootstrapperPackage Include="Microsoft.Windows.Installer.4.5">
+      <Visible>False</Visible>
+      <ProductName>Windows Installer 4.5</ProductName>
+      <Install>true</Install>
+    </BootstrapperPackage>
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\boost_math\boost_math.vcxproj">
+      <Project>{cee4bad0-967a-4193-9edb-c0dd6c3b05c9}</Project>
+      <Name>boost_math</Name>
+    </ProjectReference>
+  </ItemGroup>
+  <Import Project="$(MSBuildBinPath)\Microsoft.CSharp.targets" />
+  <!-- To modify your build process, add your task inside one of the targets below and uncomment it. 
+       Other similar extension points exist, see Microsoft.Common.targets.
+  <Target Name="BeforeBuild">
+  </Target>
+  <Target Name="AfterBuild">
+  </Target>
+  -->
+</Project>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj.user b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj.user
new file mode 100644
index 00000000..39565271
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.csproj.user
@@ -0,0 +1,21 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <PropertyGroup>
+    <ProjectView>ProjectFiles</ProjectView>
+    <PublishUrlHistory>\\hetpA\H%24\Distex\|\\hetp7\H%24\Distex\|\\hetp7\H%24\|I:\boost-sandbox\libs\math_functions\dot_net_example\Distex\|publish\</PublishUrlHistory>
+    <InstallUrlHistory>\\hetp7\H%24\</InstallUrlHistory>
+    <SupportUrlHistory>
+    </SupportUrlHistory>
+    <UpdateUrlHistory>
+    </UpdateUrlHistory>
+    <BootstrapperUrlHistory>
+    </BootstrapperUrlHistory>
+    <FallbackCulture>en-US</FallbackCulture>
+    <VerifyUploadedFiles>false</VerifyUploadedFiles>
+    <EnableSecurityDebugging>false</EnableSecurityDebugging>
+    <ErrorReportUrlHistory />
+  </PropertyGroup>
+  <PropertyGroup>
+    <ReferencePath>I:\boost-trunk\libs\math\dot_net_example\boost_math\</ReferencePath>
+  </PropertyGroup>
+</Project>
\ No newline at end of file
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.sln b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.sln
new file mode 100644
index 00000000..6e3c9017
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.sln
@@ -0,0 +1,50 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio 15
+VisualStudioVersion = 15.0.27130.2024
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "distribution_explorer", "distribution_explorer.csproj", "{77742493-4236-4975-9BD9-AA3611F0DC0E}"
+EndProject
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "boost_math", "..\boost_math\boost_math.vcxproj", "{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Debug|x64 = Debug|x64
+		Debug|x86 = Debug|x86
+		Release|Any CPU = Release|Any CPU
+		Release|x64 = Release|x64
+		Release|x86 = Release|x86
+		Description = Statistical Distribution Explorer
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|x64.ActiveCfg = Debug|x64
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|x64.Build.0 = Debug|x64
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|x86.ActiveCfg = Debug|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Debug|x86.Build.0 = Debug|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|Any CPU.Build.0 = Release|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|x64.ActiveCfg = Release|x64
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|x64.Build.0 = Release|x64
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|x86.ActiveCfg = Release|Any CPU
+		{77742493-4236-4975-9BD9-AA3611F0DC0E}.Release|x86.Build.0 = Release|Any CPU
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|Any CPU.ActiveCfg = Debug|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x64.ActiveCfg = Debug|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x64.Build.0 = Debug|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x86.ActiveCfg = Debug|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Debug|x86.Build.0 = Debug|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|Any CPU.ActiveCfg = Release|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x64.ActiveCfg = Release|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x64.Build.0 = Release|x64
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x86.ActiveCfg = Release|Win32
+		{80E5F29C-93FB-4C84-A818-D2B8263C7CA1}.Release|x86.Build.0 = Release|Win32
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {E7B27F35-B063-4E0E-AA07-9A53BEA22670}
+	EndGlobalSection
+EndGlobal
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.suo b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.suo
new file mode 100644
index 00000000..d2c71687
Binary files /dev/null and b/src/boost/libs/math/dot_net_example/distribution_explorer/distribution_explorer.suo differ
diff --git a/src/boost/libs/math/dot_net_example/distribution_explorer/readme.txt b/src/boost/libs/math/dot_net_example/distribution_explorer/readme.txt
new file mode 100644
index 00000000..d483173d
--- /dev/null
+++ b/src/boost/libs/math/dot_net_example/distribution_explorer/readme.txt
@@ -0,0 +1,86 @@
+Statistical Distribution Explorer
+
+Paul A. Bristow
+John Maddock
+
+Copyright © 2008 , 2009, 2010, 2012 Paul A. Bristow, John Maddock
+
+Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+A Windows utility to show the properties of statistical distributions using parameters provided interactively by the user.
+
+The 31 distributions provided (by version 1.0.1.52) are:
+
+    * bernoulli
+    * beta
+    * binomial
+    * cauchy
+    * chi_squared
+    * exponential
+    * extreme_value
+    * fisher_f
+    * gamma
+    * geometric
+    * hypergeometric
+    * inverse_chi_squared
+    * inverse_gamma
+    * inverse_gaussian
+    * laplace
+    * logistic
+    * lognormal
+    * negative_binomial
+    * non-central beta
+    * non-central_chi_squared
+    * non-central_F
+    * non-central_t
+    * normal (Gaussian)
+    * pareto
+    * poisson
+    * rayleigh
+    * students_t
+    * skew_normal
+    * triangular
+    * uniform
+    * weibull
+
+Properties of distributions computed (where possible) are:
+
+    * mean
+    * mode
+    * median
+    * variance
+    * standard deviation
+    * coefficient of variation,
+    * skewness
+    * kurtosis
+    * excess
+    * range supported
+
+Calculated, from values provided, are:
+
+    * probability density (or mass) function (PDF)
+    * cumulative distribution function (CDF), and complement
+    * Quantiles (percentiles) are calculated for typical risk (alpha) probabilities (0.001, 0.01, 0.5, 0.1, 0.333) and for additional probabilities that can be requested by the user.
+
+Results can be saved to text files using Save or SaveAs. All the values on the four tabs are output to the file chosen, and are tab separated to assist input to other programs, for example, spreadsheets or text editors.
+
+Note: Excel (for example), by default, only shows 10 decimal digits: to display the maximum possible precision (about 15 decimal digits), it is necessary to format all cells to display this precision. Although unusually accurate, not all values computed by Statistical Distribution Explorer will be as accurate as 15 decimal digits. Values shown as NaN cannot be calculated from the value(s) given, most commonly because the value input is outside the range for the distribution.
+
+For more information, including downloads, and this index.html file, see Distexplorer at Sourceforge.
+
+This Microsoft Windows 32 package was generated from a C# program and uses a boost_math.dll generated using the Boost.Math C++ source code containing the underlying statistical distribution classes and functions (C++ was compiled in CLI mode).
+
+All source code is freely available for view and for use under the Boost Open Source License.
+
+Math Toolkit C++ source code to produce boost_math.dll is in the most recent Boost release, currently 1.52.0 (and the Boost version used to build the explorer is embedded in its version number). You can download the current Boost library and find the source to build the Distribution Explorer at /libs/math/dot_net_example/.
+
+Installation
+============
+Statistical Distribution Explorer is distributed as a single Windows Installer package setupdistex.msi. Unzip the distexplorer.zip file to a temporary location of your choice and run setupdistex.msi.
+
+(If the program installs OK, but does not run, it will be necessary to run setup.exe to install Microsoft redistributables. This is because .NET Framework 4.0 Client Profile and VC Redistributable X86 are requirements for this program. Most recent and updated Windows environments will already have these installed, but they are quickly, easily and safely installed from the Microsoft site if required. This program has been tested on Windows 200 up to Windows 8).
+
+(The package cannot be run on other platforms at present but it should be possible to build an equivalent utility on any C/C++ platform if anyone would like to undertake this task.)
+
+Last revised: 15 Oct 2012
+	
diff --git a/src/boost/libs/math/example/HSO3.hpp b/src/boost/libs/math/example/HSO3.hpp
new file mode 100644
index 00000000..4e4ead7a
--- /dev/null
+++ b/src/boost/libs/math/example/HSO3.hpp
@@ -0,0 +1,509 @@
+
+/********************************************************************************************/
+/*                                                                                          */
+/*                                HSO3.hpp header file                                      */
+/*                                                                                          */
+/* This file is not currently part of the Boost library. It is simply an example of the use */
+/* quaternions can be put to. Hopefully it will be useful too.                              */
+/*                                                                                          */
+/* This file provides tools to convert between quaternions and R^3 rotation matrices.       */
+/*                                                                                          */
+/********************************************************************************************/
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef TEST_HSO3_HPP
+#define TEST_HSO3_HPP
+
+#include <algorithm>
+
+#if    defined(__GNUC__) && (__GNUC__ < 3)
+#include <boost/limits.hpp>
+#else
+#include <limits>
+#endif
+
+#include <stdexcept>
+#include <string>
+
+#include <boost/math/quaternion.hpp>
+
+
+#if    defined(__GNUC__) && (__GNUC__ < 3)
+// gcc 2.x ignores function scope using declarations, put them here instead:
+using    namespace ::std;
+using    namespace ::boost::math;
+#endif
+
+template<typename TYPE_FLOAT>
+struct  R3_matrix
+{
+    TYPE_FLOAT a11, a12, a13;
+    TYPE_FLOAT a21, a22, a23;
+    TYPE_FLOAT a31, a32, a33;
+};
+
+
+// Note:    the input quaternion need not be of norm 1 for the following function
+
+template<typename TYPE_FLOAT>
+R3_matrix<TYPE_FLOAT>    quaternion_to_R3_rotation(::boost::math::quaternion<TYPE_FLOAT> const & q)
+{
+    using    ::std::numeric_limits;
+    
+    TYPE_FLOAT    a = q.R_component_1();
+    TYPE_FLOAT    b = q.R_component_2();
+    TYPE_FLOAT    c = q.R_component_3();
+    TYPE_FLOAT    d = q.R_component_4();
+    
+    TYPE_FLOAT    aa = a*a;
+    TYPE_FLOAT    ab = a*b;
+    TYPE_FLOAT    ac = a*c;
+    TYPE_FLOAT    ad = a*d;
+    TYPE_FLOAT    bb = b*b;
+    TYPE_FLOAT    bc = b*c;
+    TYPE_FLOAT    bd = b*d;
+    TYPE_FLOAT    cc = c*c;
+    TYPE_FLOAT    cd = c*d;
+    TYPE_FLOAT    dd = d*d;
+    
+    TYPE_FLOAT    norme_carre = aa+bb+cc+dd;
+    
+    if    (norme_carre <= numeric_limits<TYPE_FLOAT>::epsilon())
+    {
+        ::std::string            error_reporting("Argument to quaternion_to_R3_rotation is too small!");
+        ::std::underflow_error   bad_argument(error_reporting);
+        
+        throw(bad_argument);
+    }
+    
+    R3_matrix<TYPE_FLOAT>    out_matrix;
+    
+    out_matrix.a11 = (aa+bb-cc-dd)/norme_carre;
+    out_matrix.a12 = 2*(-ad+bc)/norme_carre;
+    out_matrix.a13 = 2*(ac+bd)/norme_carre;
+    out_matrix.a21 = 2*(ad+bc)/norme_carre;
+    out_matrix.a22 = (aa-bb+cc-dd)/norme_carre;
+    out_matrix.a23 = 2*(-ab+cd)/norme_carre;
+    out_matrix.a31 = 2*(-ac+bd)/norme_carre;
+    out_matrix.a32 = 2*(ab+cd)/norme_carre;
+    out_matrix.a33 = (aa-bb-cc+dd)/norme_carre;
+    
+    return(out_matrix);
+}
+
+
+    template<typename TYPE_FLOAT>
+    void    find_invariant_vector(  R3_matrix<TYPE_FLOAT> const & rot,
+                                    TYPE_FLOAT & x,
+                                    TYPE_FLOAT & y,
+                                    TYPE_FLOAT & z)
+    {
+        using    ::std::sqrt;
+        
+        using    ::std::numeric_limits;
+        
+        TYPE_FLOAT    b11 = rot.a11 - static_cast<TYPE_FLOAT>(1);
+        TYPE_FLOAT    b12 = rot.a12;
+        TYPE_FLOAT    b13 = rot.a13;
+        TYPE_FLOAT    b21 = rot.a21;
+        TYPE_FLOAT    b22 = rot.a22 - static_cast<TYPE_FLOAT>(1);
+        TYPE_FLOAT    b23 = rot.a23;
+        TYPE_FLOAT    b31 = rot.a31;
+        TYPE_FLOAT    b32 = rot.a32;
+        TYPE_FLOAT    b33 = rot.a33 - static_cast<TYPE_FLOAT>(1);
+        
+        TYPE_FLOAT    minors[9] =
+        {
+            b11*b22-b12*b21,
+            b11*b23-b13*b21,
+            b12*b23-b13*b22,
+            b11*b32-b12*b31,
+            b11*b33-b13*b31,
+            b12*b33-b13*b32,
+            b21*b32-b22*b31,
+            b21*b33-b23*b31,
+            b22*b33-b23*b32
+        };
+        
+        TYPE_FLOAT *        where = ::std::max_element(minors, minors+9);
+        
+        TYPE_FLOAT          det = *where;
+        
+        if    (det <= numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            ::std::string            error_reporting("Underflow error in find_invariant_vector!");
+            ::std::underflow_error   processing_error(error_reporting);
+            
+            throw(processing_error);
+        }
+        
+        switch    (where-minors)
+        {
+            case 0:
+                
+                z = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b13*b22+b12*b23)/det;
+                y = (-b11*b23+b13*b21)/det;
+                
+                break;
+                
+            case 1:
+                
+                y = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b12*b23+b13*b22)/det;
+                z = (-b11*b22+b12*b21)/det;
+                
+                break;
+                
+            case 2:
+                
+                x = static_cast<TYPE_FLOAT>(1);
+                
+                y = (-b11*b23+b13*b21)/det;
+                z = (-b12*b21+b11*b22)/det;
+                
+                break;
+                
+            case 3:
+                
+                z = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b13*b32+b12*b33)/det;
+                y = (-b11*b33+b13*b31)/det;
+                
+                break;
+                
+            case 4:
+                
+                y = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b12*b33+b13*b32)/det;
+                z = (-b11*b32+b12*b31)/det;
+                
+                break;
+                
+            case 5:
+                
+                x = static_cast<TYPE_FLOAT>(1);
+                
+                y = (-b11*b33+b13*b31)/det;
+                z = (-b12*b31+b11*b32)/det;
+                
+                break;
+                
+            case 6:
+                
+                z = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b23*b32+b22*b33)/det;
+                y = (-b21*b33+b23*b31)/det;
+                
+                break;
+                
+            case 7:
+                
+                y = static_cast<TYPE_FLOAT>(1);
+                
+                x = (-b22*b33+b23*b32)/det;
+                z = (-b21*b32+b22*b31)/det;
+                
+                break;
+                
+            case 8:
+                
+                x = static_cast<TYPE_FLOAT>(1);
+                
+                y = (-b21*b33+b23*b31)/det;
+                z = (-b22*b31+b21*b32)/det;
+                
+                break;
+                
+            default:
+                
+                ::std::string        error_reporting("Impossible condition in find_invariant_vector");
+                ::std::logic_error   processing_error(error_reporting);
+                
+                throw(processing_error);
+                
+                break;
+        }
+        
+        TYPE_FLOAT    vecnorm = sqrt(x*x+y*y+z*z);
+        
+        if    (vecnorm <= numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            ::std::string            error_reporting("Overflow error in find_invariant_vector!");
+            ::std::overflow_error    processing_error(error_reporting);
+            
+            throw(processing_error);
+        }
+        
+        x /= vecnorm;
+        y /= vecnorm;
+        z /= vecnorm;
+    }
+    
+    
+    template<typename TYPE_FLOAT>
+    void    find_orthogonal_vector( TYPE_FLOAT x,
+                                    TYPE_FLOAT y,
+                                    TYPE_FLOAT z,
+                                    TYPE_FLOAT & u,
+                                    TYPE_FLOAT & v,
+                                    TYPE_FLOAT & w)
+    {
+        using    ::std::abs;
+        using    ::std::sqrt;
+        
+        using    ::std::numeric_limits;
+        
+        TYPE_FLOAT    vecnormsqr = x*x+y*y+z*z;
+        
+        if    (vecnormsqr <= numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            ::std::string            error_reporting("Underflow error in find_orthogonal_vector!");
+            ::std::underflow_error   processing_error(error_reporting);
+            
+            throw(processing_error);
+        }
+        
+        TYPE_FLOAT        lambda;
+        
+        TYPE_FLOAT        components[3] =
+        {
+            abs(x),
+            abs(y),
+            abs(z)
+        };
+        
+        TYPE_FLOAT *    where = ::std::min_element(components, components+3);
+        
+        switch    (where-components)
+        {
+            case 0:
+                
+                if    (*where <= numeric_limits<TYPE_FLOAT>::epsilon())
+                {
+                    v =
+                    w = static_cast<TYPE_FLOAT>(0);
+                    u = static_cast<TYPE_FLOAT>(1);
+                }
+                else
+                {
+                    lambda = -x/vecnormsqr;
+                    
+                    u = static_cast<TYPE_FLOAT>(1) + lambda*x;
+                    v = lambda*y;
+                    w = lambda*z;
+                }
+                
+                break;
+                
+            case 1:
+                
+                if    (*where <= numeric_limits<TYPE_FLOAT>::epsilon())
+                {
+                    u =
+                    w = static_cast<TYPE_FLOAT>(0);
+                    v = static_cast<TYPE_FLOAT>(1);
+                }
+                else
+                {
+                    lambda = -y/vecnormsqr;
+                    
+                    u = lambda*x;
+                    v = static_cast<TYPE_FLOAT>(1) + lambda*y;
+                    w = lambda*z;
+                }
+                
+                break;
+                
+            case 2:
+                
+                if    (*where <= numeric_limits<TYPE_FLOAT>::epsilon())
+                {
+                    u =
+                    v = static_cast<TYPE_FLOAT>(0);
+                    w = static_cast<TYPE_FLOAT>(1);
+                }
+                else
+                {
+                    lambda = -z/vecnormsqr;
+                    
+                    u = lambda*x;
+                    v = lambda*y;
+                    w = static_cast<TYPE_FLOAT>(1) + lambda*z;
+                }
+                
+                break;
+                
+            default:
+                
+                ::std::string        error_reporting("Impossible condition in find_invariant_vector");
+                ::std::logic_error   processing_error(error_reporting);
+                
+                throw(processing_error);
+                
+                break;
+        }
+        
+        TYPE_FLOAT    vecnorm = sqrt(u*u+v*v+w*w);
+        
+        if    (vecnorm <= numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            ::std::string            error_reporting("Underflow error in find_orthogonal_vector!");
+            ::std::underflow_error   processing_error(error_reporting);
+            
+            throw(processing_error);
+        }
+        
+        u /= vecnorm;
+        v /= vecnorm;
+        w /= vecnorm;
+    }
+    
+    
+    // Note:    we want [[v, v, w], [r, s, t], [x, y, z]] to be a direct orthogonal basis
+    //            of R^3. It might not be orthonormal, however, and we do not check if the
+    //            two input vectors are colinear or not.
+    
+    template<typename TYPE_FLOAT>
+    void    find_vector_for_BOD(TYPE_FLOAT x,
+                                TYPE_FLOAT y,
+                                TYPE_FLOAT z,
+                                TYPE_FLOAT u, 
+                                TYPE_FLOAT v,
+                                TYPE_FLOAT w,
+                                TYPE_FLOAT & r,
+                                TYPE_FLOAT & s,
+                                TYPE_FLOAT & t)
+    {
+        r = +y*w-z*v;
+        s = -x*w+z*u;
+        t = +x*v-y*u;
+    }
+
+
+
+template<typename TYPE_FLOAT>
+inline bool                                is_R3_rotation_matrix(R3_matrix<TYPE_FLOAT> const & mat)
+{
+    using    ::std::abs;
+    
+    using    ::std::numeric_limits;
+    
+    return    (
+                !(
+                    (abs(mat.a11*mat.a11+mat.a21*mat.a21+mat.a31*mat.a31 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a11*mat.a12+mat.a21*mat.a22+mat.a31*mat.a32 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a11*mat.a13+mat.a21*mat.a23+mat.a31*mat.a33 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a11*mat.a12+mat.a21*mat.a22+mat.a31*mat.a32 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a12*mat.a12+mat.a22*mat.a22+mat.a32*mat.a32 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a12*mat.a13+mat.a22*mat.a23+mat.a32*mat.a33 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a11*mat.a13+mat.a21*mat.a23+mat.a31*mat.a33 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a12*mat.a13+mat.a22*mat.a23+mat.a32*mat.a33 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a13*mat.a13+mat.a23*mat.a23+mat.a33*mat.a33 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())
+                )
+            );
+}
+
+
+template<typename TYPE_FLOAT>
+::boost::math::quaternion<TYPE_FLOAT>    R3_rotation_to_quaternion(    R3_matrix<TYPE_FLOAT> const & rot,
+                                                                    ::boost::math::quaternion<TYPE_FLOAT> const * hint = 0)
+{
+    using    ::boost::math::abs;
+    
+    using    ::std::abs;
+    using    ::std::sqrt;
+    
+    using    ::std::numeric_limits;
+    
+    if    (!is_R3_rotation_matrix(rot))
+    {
+        ::std::string        error_reporting("Argument to R3_rotation_to_quaternion is not an R^3 rotation matrix!");
+        ::std::range_error   bad_argument(error_reporting);
+        
+        throw(bad_argument);
+    }
+    
+    ::boost::math::quaternion<TYPE_FLOAT>    q;
+    
+    if    (
+            (abs(rot.a11 - static_cast<TYPE_FLOAT>(1)) <= numeric_limits<TYPE_FLOAT>::epsilon())&&
+            (abs(rot.a22 - static_cast<TYPE_FLOAT>(1)) <= numeric_limits<TYPE_FLOAT>::epsilon())&&
+            (abs(rot.a33 - static_cast<TYPE_FLOAT>(1)) <= numeric_limits<TYPE_FLOAT>::epsilon())
+        )
+    {
+        q = ::boost::math::quaternion<TYPE_FLOAT>(1);
+    }
+    else
+    {
+        TYPE_FLOAT    cos_theta = (rot.a11+rot.a22+rot.a33-static_cast<TYPE_FLOAT>(1))/static_cast<TYPE_FLOAT>(2);
+        TYPE_FLOAT    stuff = (cos_theta+static_cast<TYPE_FLOAT>(1))/static_cast<TYPE_FLOAT>(2);
+        TYPE_FLOAT    cos_theta_sur_2 = sqrt(stuff);
+        TYPE_FLOAT    sin_theta_sur_2 = sqrt(1-stuff);
+        
+        TYPE_FLOAT    x;
+        TYPE_FLOAT    y;
+        TYPE_FLOAT    z;
+        
+        find_invariant_vector(rot, x, y, z);
+        
+        TYPE_FLOAT    u;
+        TYPE_FLOAT    v;
+        TYPE_FLOAT    w;
+        
+        find_orthogonal_vector(x, y, z, u, v, w);
+        
+        TYPE_FLOAT    r;
+        TYPE_FLOAT    s;
+        TYPE_FLOAT    t;
+        
+        find_vector_for_BOD(x, y, z, u, v, w, r, s, t);
+        
+        TYPE_FLOAT    ru = rot.a11*u+rot.a12*v+rot.a13*w;
+        TYPE_FLOAT    rv = rot.a21*u+rot.a22*v+rot.a23*w;
+        TYPE_FLOAT    rw = rot.a31*u+rot.a32*v+rot.a33*w;
+        
+        TYPE_FLOAT    angle_sign_determinator = r*ru+s*rv+t*rw;
+        
+        if        (angle_sign_determinator > +numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            q = ::boost::math::quaternion<TYPE_FLOAT>(cos_theta_sur_2, +x*sin_theta_sur_2, +y*sin_theta_sur_2, +z*sin_theta_sur_2);
+        }
+        else if    (angle_sign_determinator < -numeric_limits<TYPE_FLOAT>::epsilon())
+        {
+            q = ::boost::math::quaternion<TYPE_FLOAT>(cos_theta_sur_2, -x*sin_theta_sur_2, -y*sin_theta_sur_2, -z*sin_theta_sur_2);
+        }
+        else
+        {
+            TYPE_FLOAT    desambiguator = u*ru+v*rv+w*rw;
+            
+            if    (desambiguator >= static_cast<TYPE_FLOAT>(1))
+            {
+                q = ::boost::math::quaternion<TYPE_FLOAT>(0, +x, +y, +z);
+            }
+            else
+            {
+                q = ::boost::math::quaternion<TYPE_FLOAT>(0, -x, -y, -z);
+            }
+        }
+    }
+    
+    if    ((hint != 0) && (abs(*hint+q) < abs(*hint-q)))
+    {
+        return(-q);
+    }
+    
+    return(q);
+}
+
+#endif /* TEST_HSO3_HPP */
+
diff --git a/src/boost/libs/math/example/HSO3SO4.cpp b/src/boost/libs/math/example/HSO3SO4.cpp
new file mode 100644
index 00000000..c4462c79
--- /dev/null
+++ b/src/boost/libs/math/example/HSO3SO4.cpp
@@ -0,0 +1,445 @@
+// test file for HSO3.hpp and HSO4.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iostream>
+
+#include <boost/math/quaternion.hpp>
+
+#include "HSO3.hpp"
+#include "HSO4.hpp"
+
+
+const int    number_of_intervals = 5;
+
+const float    pi = ::std::atan(1.0f)*4;
+
+
+
+void    test_SO3();
+    
+void    test_SO4();
+
+
+int    main()
+
+{
+    test_SO3();
+    
+    test_SO4();
+    
+    ::std::cout << "That's all folks!" << ::std::endl;
+}
+
+
+//
+//    Test of quaternion and R^3 rotation relationship
+//
+
+void    test_SO3_spherical()
+{
+    ::std::cout << "Testing spherical:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    const float    rho = 1.0f;
+    
+    float        theta;
+    float        phi1;
+    float        phi2;
+    
+    for    (int idxphi2 = 0; idxphi2 <= number_of_intervals; idxphi2++)
+    {
+        phi2 = (-pi/2)+(idxphi2*pi)/number_of_intervals;
+        
+        for    (int idxphi1 = 0; idxphi1 <= number_of_intervals; idxphi1++)
+        {
+            phi1 = (-pi/2)+(idxphi1*pi)/number_of_intervals;
+            
+            for    (int idxtheta = 0; idxtheta <= number_of_intervals; idxtheta++)
+            {
+                theta = -pi+(idxtheta*(2*pi))/number_of_intervals;
+                
+                ::std::cout << "theta = " << theta << " ; ";
+                ::std::cout << "phi1 = " << phi1 << " ; ";
+                ::std::cout << "phi2 = " << phi2;
+                ::std::cout << ::std::endl;
+                
+                ::boost::math::quaternion<float>    q = ::boost::math::spherical(rho, theta, phi1, phi2);
+                
+                ::std::cout << "q = " << q << ::std::endl;
+                
+                R3_matrix<float>                    rot = quaternion_to_R3_rotation(q);
+                
+                ::std::cout << "rot = ";
+                ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << ::std::endl;
+                
+                ::boost::math::quaternion<float>    p = R3_rotation_to_quaternion(rot, &q);
+                
+                ::std::cout << "p = " << p << ::std::endl;
+                
+                ::std::cout << "round trip discrepancy: " << ::boost::math::abs(q-p) << ::std::endl;
+                
+                ::std::cout << ::std::endl;
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+    
+void    test_SO3_semipolar()
+{
+    ::std::cout << "Testing semipolar:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    const float    rho = 1.0f;
+    
+    float        alpha;
+    float        theta1;
+    float        theta2;
+    
+    for    (int idxalpha = 0; idxalpha <= number_of_intervals; idxalpha++)
+    {
+        alpha = (idxalpha*(pi/2))/number_of_intervals;
+        
+        for    (int idxtheta1 = 0; idxtheta1 <= number_of_intervals; idxtheta1++)
+        {
+            theta1 = -pi+(idxtheta1*(2*pi))/number_of_intervals;
+            
+            for    (int idxtheta2 = 0; idxtheta2 <= number_of_intervals; idxtheta2++)
+            {
+                theta2 = -pi+(idxtheta2*(2*pi))/number_of_intervals;
+                
+                ::std::cout << "alpha = " << alpha << " ; ";
+                ::std::cout << "theta1 = " << theta1 << " ; ";
+                ::std::cout << "theta2 = " << theta2;
+                ::std::cout << ::std::endl;
+                
+                ::boost::math::quaternion<float>    q = ::boost::math::semipolar(rho, alpha, theta1, theta2);
+                
+                ::std::cout << "q = " << q << ::std::endl;
+                
+                R3_matrix<float>                    rot = quaternion_to_R3_rotation(q);
+                
+                ::std::cout << "rot = ";
+                ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << ::std::endl;
+                
+                ::boost::math::quaternion<float>    p = R3_rotation_to_quaternion(rot, &q);
+                
+                ::std::cout << "p = " << p << ::std::endl;
+                
+                ::std::cout << "round trip discrepancy: " << ::boost::math::abs(q-p) << ::std::endl;
+                
+                ::std::cout << ::std::endl;
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+    
+void    test_SO3_multipolar()
+{
+    ::std::cout << "Testing multipolar:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    float    rho1;
+    float    rho2;
+    
+    float    theta1;
+    float    theta2;
+    
+    for    (int idxrho = 0; idxrho <= number_of_intervals; idxrho++)
+    {
+        rho1 = (idxrho*1.0f)/number_of_intervals;
+        rho2 = ::std::sqrt(1.0f-rho1*rho1);
+        
+        for    (int idxtheta1 = 0; idxtheta1 <= number_of_intervals; idxtheta1++)
+        {
+            theta1 = -pi+(idxtheta1*(2*pi))/number_of_intervals;
+            
+            for    (int idxtheta2 = 0; idxtheta2 <= number_of_intervals; idxtheta2++)
+            {
+                theta2 = -pi+(idxtheta2*(2*pi))/number_of_intervals;
+                
+                ::std::cout << "rho1 = " << rho1 << " ; ";
+                ::std::cout << "theta1 = " << theta1 << " ; ";
+                ::std::cout << "theta2 = " << theta2;
+                ::std::cout << ::std::endl;
+                
+                ::boost::math::quaternion<float>    q = ::boost::math::multipolar(rho1, theta1, rho2, theta2);
+                
+                ::std::cout << "q = " << q << ::std::endl;
+                
+                R3_matrix<float>                    rot = quaternion_to_R3_rotation(q);
+                
+                ::std::cout << "rot = ";
+                ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << ::std::endl;
+                
+                ::boost::math::quaternion<float>    p = R3_rotation_to_quaternion(rot, &q);
+                
+                ::std::cout << "p = " << p << ::std::endl;
+                
+                ::std::cout << "round trip discrepancy: " << ::boost::math::abs(q-p) << ::std::endl;
+                
+                ::std::cout << ::std::endl;
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+    
+void    test_SO3_cylindrospherical()
+{
+    ::std::cout << "Testing cylindrospherical:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    float    t;
+    
+    float    radius;
+    float    longitude;
+    float    latitude;
+    
+    for    (int idxt = 0; idxt <= number_of_intervals; idxt++)
+    {
+        t = -1.0f+(idxt*2.0f)/number_of_intervals;
+        radius = ::std::sqrt(1.0f-t*t);
+        
+        for    (int idxlatitude = 0; idxlatitude <= number_of_intervals; idxlatitude++)
+        {
+            latitude = (-pi/2)+(idxlatitude*pi)/number_of_intervals;
+            
+            for    (int idxlongitude = 0; idxlongitude <= number_of_intervals; idxlongitude++)
+            {
+                longitude = -pi+(idxlongitude*(2*pi))/number_of_intervals;
+                
+                ::std::cout << "t = " << t << " ; ";
+                ::std::cout << "longitude = " << longitude;
+                ::std::cout << "latitude = " << latitude;
+                ::std::cout << ::std::endl;
+                
+                ::boost::math::quaternion<float>    q = ::boost::math::cylindrospherical(t, radius, longitude, latitude);
+                
+                ::std::cout << "q = " << q << ::std::endl;
+                
+                R3_matrix<float>                    rot = quaternion_to_R3_rotation(q);
+                
+                ::std::cout << "rot = ";
+                ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << ::std::endl;
+                
+                ::boost::math::quaternion<float>    p = R3_rotation_to_quaternion(rot, &q);
+                
+                ::std::cout << "p = " << p << ::std::endl;
+                
+                ::std::cout << "round trip discrepancy: " << ::boost::math::abs(q-p) << ::std::endl;
+                
+                ::std::cout << ::std::endl;
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+    
+void    test_SO3_cylindrical()
+{
+    ::std::cout << "Testing cylindrical:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    float    r;
+    float    angle;
+    
+    float    h1;
+    float    h2;
+    
+    for    (int idxh2 = 0; idxh2 <= number_of_intervals; idxh2++)
+    {
+        h2 = -1.0f+(idxh2*2.0f)/number_of_intervals;
+        
+        for    (int idxh1 = 0; idxh1 <= number_of_intervals; idxh1++)
+        {
+            h1 = ::std::sqrt(1.0f-h2*h2)*(-1.0f+(idxh2*2.0f)/number_of_intervals);
+            r = ::std::sqrt(1.0f-h1*h1-h2*h2);
+            
+            for    (int idxangle = 0; idxangle <= number_of_intervals; idxangle++)
+            {
+                angle = -pi+(idxangle*(2*pi))/number_of_intervals;
+                
+                ::std::cout << "angle = " << angle << " ; ";
+                ::std::cout << "h1 = " << h1;
+                ::std::cout << "h2 = " << h2;
+                ::std::cout << ::std::endl;
+                
+                ::boost::math::quaternion<float>    q = ::boost::math::cylindrical(r, angle, h1, h2);
+                
+                ::std::cout << "q = " << q << ::std::endl;
+                
+                R3_matrix<float>                    rot = quaternion_to_R3_rotation(q);
+                
+                ::std::cout << "rot = ";
+                ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << ::std::endl;
+                ::std::cout << "\t";
+                ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << ::std::endl;
+                
+                ::boost::math::quaternion<float>    p = R3_rotation_to_quaternion(rot, &q);
+                
+                ::std::cout << "p = " << p << ::std::endl;
+                
+                ::std::cout << "round trip discrepancy: " << ::boost::math::abs(q-p) << ::std::endl;
+                
+                ::std::cout << ::std::endl;
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+
+void    test_SO3()
+{
+    ::std::cout << "Testing SO3:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    test_SO3_spherical();
+    
+    test_SO3_semipolar();
+    
+    test_SO3_multipolar();
+    
+    test_SO3_cylindrospherical();
+    
+    test_SO3_cylindrical();
+}
+
+
+//
+//    Test of quaternion and R^4 rotation relationship
+//
+
+void    test_SO4_spherical()
+{
+    ::std::cout << "Testing spherical:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    const float    rho1 = 1.0f;
+    const float    rho2 = 1.0f;
+    
+    float        theta1;
+    float        phi11;
+    float        phi21;
+    
+    float        theta2;
+    float        phi12;
+    float        phi22;
+    
+    for    (int idxphi21 = 0; idxphi21 <= number_of_intervals; idxphi21++)
+    {
+        phi21 = (-pi/2)+(idxphi21*pi)/number_of_intervals;
+        
+        for    (int idxphi22 = 0; idxphi22 <= number_of_intervals; idxphi22++)
+        {
+            phi22 = (-pi/2)+(idxphi22*pi)/number_of_intervals;
+            
+            for    (int idxphi11 = 0; idxphi11 <= number_of_intervals; idxphi11++)
+            {
+                phi11 = (-pi/2)+(idxphi11*pi)/number_of_intervals;
+                
+                for    (int idxphi12 = 0; idxphi12 <= number_of_intervals; idxphi12++)
+                {
+                    phi12 = (-pi/2)+(idxphi12*pi)/number_of_intervals;
+                    
+                    for    (int idxtheta1 = 0; idxtheta1 <= number_of_intervals; idxtheta1++)
+                    {
+                        theta1 = -pi+(idxtheta1*(2*pi))/number_of_intervals;
+                        
+                        for    (int idxtheta2 = 0; idxtheta2 <= number_of_intervals; idxtheta2++)
+                        {
+                            theta2 = -pi+(idxtheta2*(2*pi))/number_of_intervals;
+                            
+                            ::std::cout << "theta1 = " << theta1 << " ; ";
+                            ::std::cout << "phi11 = " << phi11 << " ; ";
+                            ::std::cout << "phi21 = " << phi21;
+                            ::std::cout << "theta2 = " << theta2 << " ; ";
+                            ::std::cout << "phi12 = " << phi12 << " ; ";
+                            ::std::cout << "phi22 = " << phi22;
+                            ::std::cout << ::std::endl;
+                            
+                            ::boost::math::quaternion<float>    p1 = ::boost::math::spherical(rho1, theta1, phi11, phi21);
+                            
+                            ::std::cout << "p1 = " << p1 << ::std::endl;
+                            
+                            ::boost::math::quaternion<float>    q1 = ::boost::math::spherical(rho2, theta2, phi12, phi22);
+                            
+                            ::std::cout << "q1 = " << q1 << ::std::endl;
+                            
+                            ::std::pair< ::boost::math::quaternion<float> , ::boost::math::quaternion<float> >    pq1 =
+                                ::std::make_pair(p1,q1);
+                            
+                            R4_matrix<float>                    rot = quaternions_to_R4_rotation(pq1);
+                            
+                            ::std::cout << "rot = ";
+                            ::std::cout << "\t" << rot.a11 << "\t" << rot.a12 << "\t" << rot.a13 << "\t" << rot.a14 << ::std::endl;
+                            ::std::cout << "\t";
+                            ::std::cout << "\t" << rot.a21 << "\t" << rot.a22 << "\t" << rot.a23 << "\t" << rot.a24 << ::std::endl;
+                            ::std::cout << "\t";
+                            ::std::cout << "\t" << rot.a31 << "\t" << rot.a32 << "\t" << rot.a33 << "\t" << rot.a34 << ::std::endl;
+                            ::std::cout << "\t";
+                            ::std::cout << "\t" << rot.a41 << "\t" << rot.a42 << "\t" << rot.a43 << "\t" << rot.a44 << ::std::endl;
+                            
+                            ::std::pair< ::boost::math::quaternion<float> , ::boost::math::quaternion<float> >    pq2 =
+                                R4_rotation_to_quaternions(rot, &pq1);
+                            
+                            ::std::cout << "p1 = " << pq2.first << ::std::endl;
+                            ::std::cout << "p2 = " << pq2.second << ::std::endl;
+                            
+                            ::std::cout << "round trip discrepancy: " << ::std::sqrt(::boost::math::norm(pq1.first-pq2.first)+::boost::math::norm(pq1.second-pq2.second)) << ::std::endl;
+                            
+                            ::std::cout << ::std::endl;
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    ::std::cout << ::std::endl;
+}
+
+
+void    test_SO4()
+{
+    ::std::cout << "Testing SO4:" << ::std::endl;
+    ::std::cout << ::std::endl;
+    
+    test_SO4_spherical();
+}
+
+
diff --git a/src/boost/libs/math/example/HSO4.hpp b/src/boost/libs/math/example/HSO4.hpp
new file mode 100644
index 00000000..37b7e59b
--- /dev/null
+++ b/src/boost/libs/math/example/HSO4.hpp
@@ -0,0 +1,183 @@
+
+/********************************************************************************************/
+/*                                                                                          */
+/*                                HSO4.hpp header file                                      */
+/*                                                                                          */
+/* This file is not currently part of the Boost library. It is simply an example of the use */
+/* quaternions can be put to. Hopefully it will be usefull too.                             */
+/*                                                                                          */
+/* This file provides tools to convert between quaternions and R^4 rotation matrices.       */
+/*                                                                                          */
+/********************************************************************************************/
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef TEST_HSO4_HPP
+#define TEST_HSO4_HPP
+
+#include <utility>
+
+#include "HSO3.hpp"
+
+
+template<typename TYPE_FLOAT>
+struct  R4_matrix
+{
+    TYPE_FLOAT a11, a12, a13, a14;
+    TYPE_FLOAT a21, a22, a23, a24;
+    TYPE_FLOAT a31, a32, a33, a34;
+    TYPE_FLOAT a41, a42, a43, a44;
+};
+
+
+// Note:    the input quaternions need not be of norm 1 for the following function
+
+template<typename TYPE_FLOAT>
+R4_matrix<TYPE_FLOAT>    quaternions_to_R4_rotation(::std::pair< ::boost::math::quaternion<TYPE_FLOAT> , ::boost::math::quaternion<TYPE_FLOAT> > const & pq)
+{
+    using    ::std::numeric_limits;
+    
+    TYPE_FLOAT    a0 = pq.first.R_component_1();
+    TYPE_FLOAT    b0 = pq.first.R_component_2();
+    TYPE_FLOAT    c0 = pq.first.R_component_3();
+    TYPE_FLOAT    d0 = pq.first.R_component_4();
+    
+    TYPE_FLOAT    norme_carre0 = a0*a0+b0*b0+c0*c0+d0*d0;
+    
+    if    (norme_carre0 <= numeric_limits<TYPE_FLOAT>::epsilon())
+    {
+        ::std::string            error_reporting("Argument to quaternions_to_R4_rotation is too small!");
+        ::std::underflow_error   bad_argument(error_reporting);
+        
+        throw(bad_argument);
+    }
+    
+    TYPE_FLOAT    a1 = pq.second.R_component_1();
+    TYPE_FLOAT    b1 = pq.second.R_component_2();
+    TYPE_FLOAT    c1 = pq.second.R_component_3();
+    TYPE_FLOAT    d1 = pq.second.R_component_4();
+    
+    TYPE_FLOAT    norme_carre1 = a1*a1+b1*b1+c1*c1+d1*d1;
+    
+    if    (norme_carre1 <= numeric_limits<TYPE_FLOAT>::epsilon())
+    {
+        ::std::string            error_reporting("Argument to quaternions_to_R4_rotation is too small!");
+        ::std::underflow_error   bad_argument(error_reporting);
+        
+        throw(bad_argument);
+    }
+    
+    TYPE_FLOAT    prod_norm = norme_carre0*norme_carre1;
+    
+    TYPE_FLOAT    a0a1 = a0*a1;
+    TYPE_FLOAT    a0b1 = a0*b1;
+    TYPE_FLOAT    a0c1 = a0*c1;
+    TYPE_FLOAT    a0d1 = a0*d1;
+    TYPE_FLOAT    b0a1 = b0*a1;
+    TYPE_FLOAT    b0b1 = b0*b1;
+    TYPE_FLOAT    b0c1 = b0*c1;
+    TYPE_FLOAT    b0d1 = b0*d1;
+    TYPE_FLOAT    c0a1 = c0*a1;
+    TYPE_FLOAT    c0b1 = c0*b1;
+    TYPE_FLOAT    c0c1 = c0*c1;
+    TYPE_FLOAT    c0d1 = c0*d1;
+    TYPE_FLOAT    d0a1 = d0*a1;
+    TYPE_FLOAT    d0b1 = d0*b1;
+    TYPE_FLOAT    d0c1 = d0*c1;
+    TYPE_FLOAT    d0d1 = d0*d1;
+    
+    R4_matrix<TYPE_FLOAT>    out_matrix;
+    
+    out_matrix.a11 = (+a0a1+b0b1+c0c1+d0d1)/prod_norm;
+    out_matrix.a12 = (+a0b1-b0a1-c0d1+d0c1)/prod_norm;
+    out_matrix.a13 = (+a0c1+b0d1-c0a1-d0b1)/prod_norm;
+    out_matrix.a14 = (+a0d1-b0c1+c0b1-d0a1)/prod_norm;
+    out_matrix.a21 = (-a0b1+b0a1-c0d1+d0c1)/prod_norm;
+    out_matrix.a22 = (+a0a1+b0b1-c0c1-d0d1)/prod_norm;
+    out_matrix.a23 = (-a0d1+b0c1+c0b1-d0a1)/prod_norm;
+    out_matrix.a24 = (+a0c1+b0d1+c0a1+d0b1)/prod_norm;
+    out_matrix.a31 = (-a0c1+b0d1+c0a1-d0b1)/prod_norm;
+    out_matrix.a32 = (+a0d1+b0c1+c0b1+d0a1)/prod_norm;
+    out_matrix.a33 = (+a0a1-b0b1+c0c1-d0d1)/prod_norm;
+    out_matrix.a34 = (-a0b1-b0a1+c0d1+d0c1)/prod_norm;
+    out_matrix.a41 = (-a0d1-b0c1+c0b1+d0a1)/prod_norm;
+    out_matrix.a42 = (-a0c1+b0d1-c0a1+d0b1)/prod_norm;
+    out_matrix.a43 = (+a0b1+b0a1+c0d1+d0c1)/prod_norm;
+    out_matrix.a44 = (+a0a1-b0b1-c0c1+d0d1)/prod_norm;
+    
+    return(out_matrix);
+}
+
+
+template<typename TYPE_FLOAT>
+inline bool                        is_R4_rotation_matrix(R4_matrix<TYPE_FLOAT> const & mat)
+{
+    using    ::std::abs;
+    
+    using    ::std::numeric_limits;
+    
+    return    (
+                !(
+                    (abs(mat.a11*mat.a11+mat.a21*mat.a21+mat.a31*mat.a31+mat.a41*mat.a41 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a11*mat.a12+mat.a21*mat.a22+mat.a31*mat.a32+mat.a41*mat.a42 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a11*mat.a13+mat.a21*mat.a23+mat.a31*mat.a33+mat.a41*mat.a43 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a11*mat.a14+mat.a21*mat.a24+mat.a31*mat.a34+mat.a41*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a11*mat.a12+mat.a21*mat.a22+mat.a31*mat.a32+mat.a41*mat.a42 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a12*mat.a12+mat.a22*mat.a22+mat.a32*mat.a32+mat.a42*mat.a42 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a12*mat.a13+mat.a22*mat.a23+mat.a32*mat.a33+mat.a42*mat.a43 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a12*mat.a14+mat.a22*mat.a24+mat.a32*mat.a34+mat.a42*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a11*mat.a13+mat.a21*mat.a23+mat.a31*mat.a33+mat.a41*mat.a43 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a12*mat.a13+mat.a22*mat.a23+mat.a32*mat.a33+mat.a42*mat.a43 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a13*mat.a13+mat.a23*mat.a23+mat.a33*mat.a33+mat.a43*mat.a43 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a13*mat.a14+mat.a23*mat.a24+mat.a33*mat.a34+mat.a43*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a11*mat.a14+mat.a21*mat.a24+mat.a31*mat.a34+mat.a41*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a12*mat.a14+mat.a22*mat.a24+mat.a32*mat.a34+mat.a42*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    //(abs(mat.a13*mat.a14+mat.a23*mat.a24+mat.a33*mat.a34+mat.a43*mat.a44 - static_cast<TYPE_FLOAT>(0)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())||
+                    (abs(mat.a14*mat.a14+mat.a24*mat.a24+mat.a34*mat.a34+mat.a44*mat.a44 - static_cast<TYPE_FLOAT>(1)) > static_cast<TYPE_FLOAT>(10)*numeric_limits<TYPE_FLOAT>::epsilon())
+                )
+            );
+}
+
+
+template<typename TYPE_FLOAT>
+::std::pair< ::boost::math::quaternion<TYPE_FLOAT> , ::boost::math::quaternion<TYPE_FLOAT> >    R4_rotation_to_quaternions(    R4_matrix<TYPE_FLOAT> const & rot,
+                                                                                                                            ::std::pair< ::boost::math::quaternion<TYPE_FLOAT> , ::boost::math::quaternion<TYPE_FLOAT> > const * hint = 0)
+{
+    if    (!is_R4_rotation_matrix(rot))
+    {
+        ::std::string        error_reporting("Argument to R4_rotation_to_quaternions is not an R^4 rotation matrix!");
+        ::std::range_error   bad_argument(error_reporting);
+        
+        throw(bad_argument);
+    }
+    
+    R3_matrix<TYPE_FLOAT>    mat;
+    
+    mat.a11 = -rot.a31*rot.a42+rot.a32*rot.a41+rot.a22*rot.a11-rot.a21*rot.a12;
+    mat.a12 = -rot.a31*rot.a43+rot.a33*rot.a41+rot.a23*rot.a11-rot.a21*rot.a13;
+    mat.a13 = -rot.a31*rot.a44+rot.a34*rot.a41+rot.a24*rot.a11-rot.a21*rot.a14;
+    mat.a21 = -rot.a31*rot.a12-rot.a22*rot.a41+rot.a32*rot.a11+rot.a21*rot.a42;
+    mat.a22 = -rot.a31*rot.a13-rot.a23*rot.a41+rot.a33*rot.a11+rot.a21*rot.a43;
+    mat.a23 = -rot.a31*rot.a14-rot.a24*rot.a41+rot.a34*rot.a11+rot.a21*rot.a44;
+    mat.a31 = +rot.a31*rot.a22-rot.a12*rot.a41+rot.a42*rot.a11-rot.a21*rot.a32;
+    mat.a32 = +rot.a31*rot.a23-rot.a13*rot.a41+rot.a43*rot.a11-rot.a21*rot.a33;
+    mat.a33 = +rot.a31*rot.a24-rot.a14*rot.a41+rot.a44*rot.a11-rot.a21*rot.a34;
+    
+    ::boost::math::quaternion<TYPE_FLOAT>    q = R3_rotation_to_quaternion(mat);
+    
+    ::boost::math::quaternion<TYPE_FLOAT>    p =
+        ::boost::math::quaternion<TYPE_FLOAT>(rot.a11,rot.a12,rot.a13,rot.a14)*q;
+    
+    if    ((hint != 0) && (abs(hint->second+q) < abs(hint->second-q)))
+    {
+        return(::std::make_pair(-p,-q));
+    }
+    
+    return(::std::make_pair(p,q));
+}
+
+#endif /* TEST_HSO4_HPP */
+
diff --git a/src/boost/libs/math/example/Jamfile.v2 b/src/boost/libs/math/example/Jamfile.v2
new file mode 100644
index 00000000..fd40f398
--- /dev/null
+++ b/src/boost/libs/math/example/Jamfile.v2
@@ -0,0 +1,159 @@
+# \libs\math\example\jamfile.v2
+# Runs statistics and floating-point examples.
+# Copyright 2007 John Maddock
+# Copyright Paul A. Bristow 2007, 2010, 2011.
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+# bring in the rules for testing
+import testing ;
+import ../../config/checks/config : requires ;
+
+project
+    : requirements
+      <toolset>gcc:<cxxflags>-Wno-missing-braces
+      <toolset>darwin:<cxxflags>-Wno-missing-braces
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070
+      <toolset>intel:<cxxflags>-Qwd264,239
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+    <toolset>msvc:<define>_CRT_SECURE_NO_DEPRECATE
+    <toolset>msvc:<define>_SCL_SECURE_NO_DEPRECATE
+    <toolset>msvc:<define>_SCL_SECURE_NO_WARNINGS
+    <toolset>msvc:<define>_CRT_SECURE_NO_WARNINGS
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4512
+      <toolset>msvc:<cxxflags>/wd4610
+      <toolset>msvc:<cxxflags>/wd4510
+      <toolset>msvc:<cxxflags>/wd4127
+      <toolset>msvc:<cxxflags>/wd4701
+      <toolset>msvc:<cxxflags>/wd4127
+      <toolset>msvc:<cxxflags>/wd4305
+      <toolset>msvc:<cxxflags>/wd4459
+      <toolset>msvc:<cxxflags>/wd4456 # declaration of hides previous local declaration.
+      #-<toolset>msvc:<cxxflags>/Za # nonfinite Serialization examples fail link if disable MS extensions,
+      #  because serialization library is built with MS extensions enabled (default).
+      <toolset>clang:<cxxflags>-Wno-unknown-pragmas
+      <toolset>clang:<cxxflags>-Wno-language-extension-token
+
+      <include>../../..
+      <include>../include_private
+      <exception-handling>off:<source>../test//no_eh
+    ;
+
+test-suite examples :
+   [ run bessel_zeros_example_1.cpp : : : <exception-handling>off:<build>no  ]
+   [ run bessel_zeros_interator_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run neumann_zeros_example_1.cpp : : : <exception-handling>off:<build>no  ]
+
+   [ run test_cpp_float_close_fraction.cpp ../../test/build//boost_unit_test_framework/<link>static : : : <exception-handling>off:<build>no  ]
+   [ run binomial_coinflip_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run binomial_confidence_limits.cpp  ]
+   [ run binomial_example_nag.cpp  ]
+   [ run binomial_quiz_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run binomial_sample_sizes.cpp  ]
+   [ run brent_minimise_example.cpp  : : : [ requires cxx11_hdr_tuple ] ]
+
+   [ run c_error_policy_example.cpp  ]
+   [ run chi_square_std_dev_test.cpp : : : <exception-handling>off:<build>no  ]
+   [ run distribution_construction.cpp : : : <exception-handling>off:<build>no  ]
+   [ run error_handling_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run error_policies_example.cpp  ]
+   [ run error_policy_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run f_test.cpp  ]
+   # [ run fft_sines_table.cpp  : : : [ requires cxx11_numeric_limits ] ]
+   # No need to re-run this routinely as it only creates a table of sines for a documentation example.
+
+   [ run find_location_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run find_mean_and_sd_normal.cpp : : : <exception-handling>off:<build>no  ]
+   [ run find_root_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run find_scale_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run geometric_examples.cpp : : : <exception-handling>off:<build>no  ]
+   [ run hyperexponential_snips.cpp  ]
+   [ run hyperexponential_more_snips.cpp  ]
+   [ run inverse_chi_squared_example.cpp  ]
+   [ run legendre_stieltjes_example.cpp : : : [ requires cxx11_auto_declarations cxx11_defaulted_functions cxx11_lambdas ]  ]
+   #[ # run inverse_chi_squared_find_df_example.cpp  ]
+   #[ run lambert_w_basic_example.cpp ]
+   [ run lambert_w_basic_example.cpp  : : : [ requires cxx11_numeric_limits ] ]
+   [ run lambert_w_simple_examples.cpp  : : : [ requires cxx11_numeric_limits ] ]
+   [ run lambert_w_precision_example.cpp  : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_numeric_limits cxx11_explicit_conversion_operators ] ]
+
+   [ run inverse_gamma_example.cpp  ]
+   [ run inverse_gamma_distribution_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run laplace_example.cpp : : : <exception-handling>off:<build>no  ]
+   [ run nc_chi_sq_example.cpp  ]
+   [ run neg_binom_confidence_limits.cpp  ]
+   [ run neg_binomial_sample_sizes.cpp  ]
+   [ run negative_binomial_example1.cpp : : : <exception-handling>off:<build>no  ]
+   [ run negative_binomial_example2.cpp  ]
+
+   [ run nonfinite_num_facet.cpp  ]
+   [ run nonfinite_facet_simple.cpp  ]
+   [ run nonfinite_num_facet_serialization.cpp ../../serialization/build//boost_serialization : : : <exception-handling>off:<build>no <toolset>gcc-mingw:<link>static  ]
+   #[ # run lexical_cast_native.cpp  ] # Expected to fail on some (but not all) platforms.
+   [ run lexical_cast_nonfinite_facets.cpp  ]
+   [ run nonfinite_loopback_ok.cpp  ]
+   [ run nonfinite_serialization_archives.cpp ../../serialization/build//boost_serialization  : : : <exception-handling>off:<build>no <toolset>gcc-mingw:<link>static  ]
+   [ run nonfinite_facet_sstream.cpp  ]
+
+   [ run constants_eg1.cpp  ]
+
+   [ run normal_misc_examples.cpp : : : <exception-handling>off:<build>no  ]
+   [ run owens_t_example.cpp  ]
+   [ run policy_eg_1.cpp  ]
+   [ run policy_eg_10.cpp : : : <target-os>vxworks:<build>no ] # VxWorks' complex.h has conflicting declaration of real
+   [ run policy_eg_2.cpp  ]
+   [ run policy_eg_3.cpp  ]
+   [ run policy_eg_4.cpp  ]
+   [ run policy_eg_5.cpp  ]
+   [ run policy_eg_6.cpp  ]
+   [ run policy_eg_7.cpp  ]
+   [ run policy_eg_8.cpp  ]
+   [ run policy_eg_9.cpp  ]
+   [ run policy_ref_snip1.cpp : : : <exception-handling>off:<build>no  ]
+   [ run policy_ref_snip10.cpp  ]
+   [ run policy_ref_snip11.cpp  ]
+   [ run policy_ref_snip12.cpp  ]
+   [ run policy_ref_snip13.cpp : : : <exception-handling>off:<build>no  ]  # Fails clang-win - thrown exception from no Cauchy mean.
+   [ run policy_ref_snip2.cpp  ]
+   [ run policy_ref_snip3.cpp : : : <exception-handling>off:<build>no  ]
+   [ run policy_ref_snip4.cpp  ]
+   [ run policy_ref_snip5.cpp  : : : <target-os>vxworks:<build>no ]
+   [ run policy_ref_snip6.cpp  ]
+   [ run policy_ref_snip7.cpp  ]
+   [ run policy_ref_snip8.cpp  ]
+   [ run policy_ref_snip9.cpp  ]
+   [ run skew_normal_example.cpp  ]
+   [ run students_t_example1.cpp  ]
+   [ run students_t_example2.cpp  ]
+   [ run students_t_example3.cpp  ]
+   [ run students_t_single_sample.cpp  ]
+   [ run students_t_two_samples.cpp  ]
+   [ run HSO3SO4.cpp  ]
+   [ run series.cpp  ]
+   [ run continued_fractions.cpp  ]
+
+   [ run barycentric_interpolation_example.cpp : : : [ requires cxx11_smart_ptr cxx11_function_template_default_args cxx11_unified_initialization_syntax cxx11_defaulted_functions cxx11_allocator cxx11_auto_declarations cxx11_lambdas ]  ]
+   [ run barycentric_interpolation_example_2.cpp : : : [ requires cxx11_smart_ptr cxx11_function_template_default_args cxx11_unified_initialization_syntax cxx11_defaulted_functions cxx11_allocator cxx11_auto_declarations cxx11_lambdas ]  ]
+   [ run cardinal_cubic_b_spline_example.cpp : : : [ requires cxx11_smart_ptr cxx11_hdr_random cxx11_defaulted_functions ]  ]
+   [ compile naive_monte_carlo_example.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ] ]  # requires user input, can't run it, take a long time too!
+   [ run catmull_rom_example.cpp : : : [ requires cxx17_if_constexpr cxx11_auto_declarations cxx17_std_apply ] ] # Actually the C++17 features used is std::size, not if constexpr; looks like there isn't yet a test for it.
+   [ run autodiff_black_scholes_brief.cpp : : : [ requires cxx11_inline_namespaces ] ]
+   [ run autodiff_black_scholes.cpp : : : [ requires cxx11_inline_namespaces ] ]
+   [ run autodiff_fourth_power.cpp : : : [ requires cxx11_inline_namespaces ] ]
+   [ run autodiff_mixed_partials.cpp : : : [ requires cxx11_inline_namespaces ] ]
+   [ run autodiff_multiprecision.cpp : : : [ requires cxx11_inline_namespaces ] ]
+   [ run ooura_fourier_integrals_example.cpp : : : [ requires cxx11_hdr_mutex cxx11_lambdas cxx11_inline_namespaces cxx11_auto_declarations ] ]
+   [ run ooura_fourier_integrals_cosine_example.cpp : : : [ requires cxx11_hdr_mutex cxx11_inline_namespaces cxx11_auto_declarations cxx17_std_apply ] ]
+   [ run ooura_fourier_integrals_multiprecision_example.cpp : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_hdr_mutex cxx11_inline_namespaces cxx11_auto_declarations cxx17_std_apply ] ]
+
+;
+
+run root_elliptic_finding.cpp /boost/timer : : : release <link>static  [ requires cxx11_unified_initialization_syntax cxx11_defaulted_functions ] <target-os>freebsd:<linkflags>"-lrt" <target-os>linux:<linkflags>"-lrt -lpthread" ;
+run root_finding_algorithms.cpp /boost/timer : : : release <link>static  [ requires cxx11_hdr_tuple cxx11_unified_initialization_syntax ] <target-os>freebsd:<linkflags>"-lrt" <target-os>linux:<linkflags>"-lrt -lpthread" ;
+run root_n_finding_algorithms.cpp /boost/timer : : : release <link>static  [ requires cxx11_unified_initialization_syntax cxx11_defaulted_functions ] <target-os>freebsd:<linkflags>"-lrt" <target-os>linux:<linkflags>"-lrt -lpthread" ;
+
+explicit root_elliptic_finding  ;
+explicit root_finding_algorithms  ;
+explicit root_n_finding_algorithms  ;
diff --git a/src/boost/libs/math/example/airy_zeros_example.cpp b/src/boost/libs/math/example/airy_zeros_example.cpp
new file mode 100644
index 00000000..3ab2c77d
--- /dev/null
+++ b/src/boost/libs/math/example/airy_zeros_example.cpp
@@ -0,0 +1,165 @@
+
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// Test values can be calculated using [@wolframalpha.com WolframAplha]
+// See also http://dlmf.nist.gov/10.21
+
+//[airy_zeros_example_1
+
+/*`This example demonstrates calculating zeros of the Airy functions.
+It also shows how Boost.Math and Boost.Multiprecision can be combined to provide
+a many decimal digit precision. For 50 decimal digit precision we need to include
+*/
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+/*`and a `typedef` for `float_type` may be convenient
+(allowing a quick switch to re-compute at built-in `double` or other precision)
+*/
+  typedef boost::multiprecision::cpp_dec_float_50 float_type;
+
+//`To use the functions for finding zeros of the functions we need
+
+  #include <boost/math/special_functions/airy.hpp>
+
+/*`This example shows obtaining both a single zero of the Airy functions,
+and then placing multiple zeros into a container like `std::vector` by providing an iterator.
+The signature of the single-value Airy Ai function is:
+
+  template <class T>
+  T airy_ai_zero(unsigned m); // 1-based index of the zero.
+
+The signature of multiple zeros Airy Ai function is:
+
+  template <class T, class OutputIterator>
+  OutputIterator airy_ai_zero(
+                           unsigned start_index, // 1-based index of the zero.
+                           unsigned number_of_zeros, // How many zeros to generate.
+                           OutputIterator out_it); // Destination for zeros.
+
+There are also versions which allows control of the __policy_section for error handling and precision.
+
+  template <class T, class OutputIterator, class Policy>
+  OutputIterator airy_ai_zero(
+                           unsigned start_index, // 1-based index of the zero.
+                           unsigned number_of_zeros, // How many zeros to generate.
+                           OutputIterator out_it, // Destination for zeros.
+                           const Policy& pol);  // Policy to use.
+*/
+//] [/airy_zeros_example_1]
+
+int main()
+{
+  try
+  {
+//[airy_zeros_example_2
+
+/*`[tip It is always wise to place code using Boost.Math inside `try'n'catch` blocks;
+this will ensure that helpful error messages are shown when exceptional conditions arise.]
+
+First, evaluate a single Airy zero.
+
+The precision is controlled by the template parameter `T`,
+so this example has `double` precision, at least 15 but up to 17 decimal digits
+(for the common 64-bit double).
+*/
+    double aiz1 = boost::math::airy_ai_zero<double>(1);
+    std::cout << "boost::math::airy_ai_zero<double>(1) = " << aiz1 << std::endl; 
+    double aiz2 = boost::math::airy_ai_zero<double>(2);
+    std::cout << "boost::math::airy_ai_zero<double>(2) = " << aiz2 << std::endl;
+    double biz3 = boost::math::airy_bi_zero<double>(3);
+    std::cout << "boost::math::airy_bi_zero<double>(3) = " << biz3 << std::endl;
+
+/*`Other versions of `airy_ai_zero` and `airy_bi_zero`
+allow calculation of multiple zeros with one call,
+placing the results in a container, often `std::vector`.
+For example, generate and display the first five `double` roots
+[@http://mathworld.wolfram.com/AiryFunctionZeros.html Wolfram Airy Functions Zeros].
+*/
+    unsigned int n_roots = 5U;
+    std::vector<double> roots;
+    boost::math::airy_ai_zero<double>(1U, n_roots, std::back_inserter(roots));
+    std::cout << "airy_ai_zeros:" << std::endl;
+    std::copy(roots.begin(),
+              roots.end(),
+              std::ostream_iterator<double>(std::cout, "\n"));
+
+/*`The first few real roots of Ai(x) are approximately -2.33811, -4.08795, -5.52056, -6.7867144, -7.94413, -9.02265 ...
+
+Or we can use Boost.Multiprecision to generate 50 decimal digit roots.
+
+We set the precision of the output stream, and show trailing zeros to display a fixed 50 decimal digits.
+*/
+    std::cout.precision(std::numeric_limits<float_type>::digits10); // float_type has 50 decimal digits.
+    std::cout << std::showpoint << std::endl; // Show trailing zeros too.
+
+    unsigned int m = 1U;
+    float_type r = boost::math::airy_ai_zero<float_type>(1U); // 1st root.
+    std::cout << "boost::math::airy_bi_zero<float_type>(" << m << ")  = " << r << std::endl;
+    m = 2;
+    r = boost::math::airy_ai_zero<float_type>(2U); // 2nd root.
+    std::cout << "boost::math::airy_bi_zero<float_type>(" << m << ")  = " << r << std::endl;
+    m = 7U;
+    r = boost::math::airy_bi_zero<float_type>(7U); // 7th root.
+    std::cout << "boost::math::airy_bi_zero<float_type>(" << m << ")  = " << r << std::endl;
+
+    std::vector<float_type> zeros;
+    boost::math::airy_ai_zero<float_type>(1U, 3, std::back_inserter(zeros));
+    std::cout << "airy_ai_zeros:" << std::endl;
+    // Print the roots to the output stream.
+    std::copy(zeros.begin(), zeros.end(),
+              std::ostream_iterator<float_type>(std::cout, "\n"));
+//] [/airy_zeros_example_2]
+  }
+  catch (std::exception ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+ } // int main()
+
+/*
+
+ Output:
+
+  Description: Autorun "J:\Cpp\big_number\Debug\airy_zeros_example.exe"
+  boost::math::airy_ai_zero<double>(1) = -2.33811
+  boost::math::airy_ai_zero<double>(2) = -4.08795
+  boost::math::airy_bi_zero<double>(3) = -4.83074
+  airy_ai_zeros:
+  -2.33811
+  -4.08795
+  -5.52056
+  -6.78671
+  -7.94413
+
+  boost::math::airy_bi_zero<float_type>(1)  = -2.3381074104597670384891972524467354406385401456711
+  boost::math::airy_bi_zero<float_type>(2)  = -4.0879494441309706166369887014573910602247646991085
+  boost::math::airy_bi_zero<float_type>(7)  = -9.5381943793462388866329885451560196208390720763825
+  airy_ai_zeros:
+  -2.3381074104597670384891972524467354406385401456711
+  -4.0879494441309706166369887014573910602247646991085
+  -5.5205598280955510591298555129312935737972142806175
+
+*/
+
diff --git a/src/boost/libs/math/example/arcsine_example.cpp b/src/boost/libs/math/example/arcsine_example.cpp
new file mode 100644
index 00000000..a0070526
--- /dev/null
+++ b/src/boost/libs/math/example/arcsine_example.cpp
@@ -0,0 +1,89 @@
+// arcsine_example.cpp
+
+// Copyright John Maddock 2014.
+// Copyright  Paul A. Bristow 2014.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example for the arcsine Distribution.
+
+// Note: Contains Quickbook snippets in comments.
+
+//[arcsine_snip_1
+#include <boost/math/distributions/arcsine.hpp> // For arcsine_distribution.
+//] [/arcsine_snip_1]
+
+#include <iostream>
+#include <exception>
+#include <boost/assert.hpp>
+
+int main()
+{
+  std::cout << "Examples of Arcsine distribution." << std::endl;
+  std::cout.precision(3);  // Avoid uninformative decimal digits.
+
+  using boost::math::arcsine;
+
+  arcsine as; // Construct a default `double` standard [0, 1] arcsine distribution.
+
+//[arcsine_snip_2
+  std::cout << pdf(as, 1. / 2) << std::endl; // 0.637
+  // pdf has a minimum at x = 0.5
+//]  [/arcsine_snip_2]
+
+//[arcsine_snip_3
+  std::cout << pdf(as, 1. / 4) << std::endl; // 0.735
+//]  [/arcsine_snip_3]
+
+
+//[arcsine_snip_4
+  std::cout << cdf(as, 0.05) << std::endl; // 0.144
+//] [/arcsine_snip_4]
+
+//[arcsine_snip_5
+  std::cout << 2 * cdf(as, 1 - 0.975) << std::endl; // 0.202
+//] [/arcsine_snip_5]
+
+
+//[arcsine_snip_6
+  std::cout << 2 * cdf(complement(as, 0.975)) << std::endl; // 0.202
+//] [/arcsine_snip_6]
+
+//[arcsine_snip_7
+  std::cout << quantile(as, 1 - 0.2 / 2) << std::endl; //  0.976
+
+  std::cout << quantile(complement(as, 0.2 / 2)) << std::endl; // 0.976
+//] [/arcsine_snip_7]
+
+{
+//[arcsine_snip_8
+  using boost::math::arcsine_distribution;
+
+  arcsine_distribution<> as(2, 5); // Cconstructs a double arcsine distribution.
+  BOOST_ASSERT(as.x_min() == 2.);  // as.x_min() returns 2.
+  BOOST_ASSERT(as.x_max() == 5.);   // as.x_max()  returns 5.
+//] [/arcsine_snip_8]
+}
+    return 0;
+
+} // int main()
+
+/*
+[arcsine_output
+
+Example of Arcsine distribution
+0.637
+0.735
+0.144
+0.202
+0.202
+0.976
+0.976
+
+] [/arcsine_output]
+*/
+
+
diff --git a/src/boost/libs/math/example/autodiff_black_scholes.cpp b/src/boost/libs/math/example/autodiff_black_scholes.cpp
new file mode 100644
index 00000000..b7fcd9c0
--- /dev/null
+++ b/src/boost/libs/math/example/autodiff_black_scholes.cpp
@@ -0,0 +1,195 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <iostream>
+#include <stdexcept>
+
+using namespace boost::math::constants;
+using namespace boost::math::differentiation;
+
+// Equations and function/variable names are from
+// https://en.wikipedia.org/wiki/Greeks_(finance)#Formulas_for_European_option_Greeks
+
+// Standard normal probability density function
+template <typename X>
+X phi(X const& x) {
+  return one_div_root_two_pi<X>() * exp(-0.5 * x * x);
+}
+
+// Standard normal cumulative distribution function
+template <typename X>
+X Phi(X const& x) {
+  return 0.5 * erfc(-one_div_root_two<X>() * x);
+}
+
+enum class CP { call, put };
+
+// Assume zero annual dividend yield (q=0).
+template <typename Price, typename Sigma, typename Tau, typename Rate>
+promote<Price, Sigma, Tau, Rate> black_scholes_option_price(CP cp,
+                                                            double K,
+                                                            Price const& S,
+                                                            Sigma const& sigma,
+                                                            Tau const& tau,
+                                                            Rate const& r) {
+  using namespace std;
+  auto const d1 = (log(S / K) + (r + sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  auto const d2 = (log(S / K) + (r - sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  switch (cp) {
+    case CP::call:
+      return S * Phi(d1) - exp(-r * tau) * K * Phi(d2);
+    case CP::put:
+      return exp(-r * tau) * K * Phi(-d2) - S * Phi(-d1);
+    default:
+      throw std::runtime_error("Invalid CP value.");
+  }
+}
+
+int main() {
+  double const K = 100.0;  // Strike price.
+  auto const variables = make_ftuple<double, 3, 3, 1, 1>(105, 5, 30.0 / 365, 1.25 / 100);
+  auto const& S = std::get<0>(variables);      // Stock price.
+  auto const& sigma = std::get<1>(variables);  // Volatility.
+  auto const& tau = std::get<2>(variables);    // Time to expiration in years. (30 days).
+  auto const& r = std::get<3>(variables);      // Interest rate.
+  auto const call_price = black_scholes_option_price(CP::call, K, S, sigma, tau, r);
+  auto const put_price = black_scholes_option_price(CP::put, K, S, sigma, tau, r);
+
+  double const d1 = static_cast<double>((log(S / K) + (r + sigma * sigma / 2) * tau) / (sigma * sqrt(tau)));
+  double const d2 = static_cast<double>((log(S / K) + (r - sigma * sigma / 2) * tau) / (sigma * sqrt(tau)));
+  double const formula_call_delta = +Phi(+d1);
+  double const formula_put_delta = -Phi(-d1);
+  double const formula_vega = static_cast<double>(S * phi(d1) * sqrt(tau));
+  double const formula_call_theta =
+      static_cast<double>(-S * phi(d1) * sigma / (2 * sqrt(tau)) - r * K * exp(-r * tau) * Phi(+d2));
+  double const formula_put_theta =
+      static_cast<double>(-S * phi(d1) * sigma / (2 * sqrt(tau)) + r * K * exp(-r * tau) * Phi(-d2));
+  double const formula_call_rho = static_cast<double>(+K * tau * exp(-r * tau) * Phi(+d2));
+  double const formula_put_rho = static_cast<double>(-K * tau * exp(-r * tau) * Phi(-d2));
+  double const formula_gamma = static_cast<double>(phi(d1) / (S * sigma * sqrt(tau)));
+  double const formula_vanna = static_cast<double>(-phi(d1) * d2 / sigma);
+  double const formula_charm =
+      static_cast<double>(phi(d1) * (d2 * sigma * sqrt(tau) - 2 * r * tau) / (2 * tau * sigma * sqrt(tau)));
+  double const formula_vomma = static_cast<double>(S * phi(d1) * sqrt(tau) * d1 * d2 / sigma);
+  double const formula_veta = static_cast<double>(-S * phi(d1) * sqrt(tau) *
+                                                  (r * d1 / (sigma * sqrt(tau)) - (1 + d1 * d2) / (2 * tau)));
+  double const formula_speed =
+      static_cast<double>(-phi(d1) * (d1 / (sigma * sqrt(tau)) + 1) / (S * S * sigma * sqrt(tau)));
+  double const formula_zomma = static_cast<double>(phi(d1) * (d1 * d2 - 1) / (S * sigma * sigma * sqrt(tau)));
+  double const formula_color =
+      static_cast<double>(-phi(d1) / (2 * S * tau * sigma * sqrt(tau)) *
+                          (1 + (2 * r * tau - d2 * sigma * sqrt(tau)) * d1 / (sigma * sqrt(tau))));
+  double const formula_ultima =
+      -formula_vega * static_cast<double>((d1 * d2 * (1 - d1 * d2) + d1 * d1 + d2 * d2) / (sigma * sigma));
+
+  std::cout << std::setprecision(std::numeric_limits<double>::digits10)
+            << "autodiff black-scholes call price = " << call_price.derivative(0, 0, 0, 0) << '\n'
+            << "autodiff black-scholes put  price = " << put_price.derivative(0, 0, 0, 0) << '\n'
+            << "\n## First-order Greeks\n"
+            << "autodiff call delta = " << call_price.derivative(1, 0, 0, 0) << '\n'
+            << " formula call delta = " << formula_call_delta << '\n'
+            << "autodiff call vega  = " << call_price.derivative(0, 1, 0, 0) << '\n'
+            << " formula call vega  = " << formula_vega << '\n'
+            << "autodiff call theta = " << -call_price.derivative(0, 0, 1, 0)
+            << '\n'  // minus sign due to tau = T-time
+            << " formula call theta = " << formula_call_theta << '\n'
+            << "autodiff call rho   = " << call_price.derivative(0, 0, 0, 1) << '\n'
+            << " formula call rho   = " << formula_call_rho << '\n'
+            << '\n'
+            << "autodiff put delta = " << put_price.derivative(1, 0, 0, 0) << '\n'
+            << " formula put delta = " << formula_put_delta << '\n'
+            << "autodiff put vega  = " << put_price.derivative(0, 1, 0, 0) << '\n'
+            << " formula put vega  = " << formula_vega << '\n'
+            << "autodiff put theta = " << -put_price.derivative(0, 0, 1, 0) << '\n'
+            << " formula put theta = " << formula_put_theta << '\n'
+            << "autodiff put rho   = " << put_price.derivative(0, 0, 0, 1) << '\n'
+            << " formula put rho   = " << formula_put_rho << '\n'
+            << "\n## Second-order Greeks\n"
+            << "autodiff call gamma = " << call_price.derivative(2, 0, 0, 0) << '\n'
+            << "autodiff put  gamma = " << put_price.derivative(2, 0, 0, 0) << '\n'
+            << "      formula gamma = " << formula_gamma << '\n'
+            << "autodiff call vanna = " << call_price.derivative(1, 1, 0, 0) << '\n'
+            << "autodiff put  vanna = " << put_price.derivative(1, 1, 0, 0) << '\n'
+            << "      formula vanna = " << formula_vanna << '\n'
+            << "autodiff call charm = " << -call_price.derivative(1, 0, 1, 0) << '\n'
+            << "autodiff put  charm = " << -put_price.derivative(1, 0, 1, 0) << '\n'
+            << "      formula charm = " << formula_charm << '\n'
+            << "autodiff call vomma = " << call_price.derivative(0, 2, 0, 0) << '\n'
+            << "autodiff put  vomma = " << put_price.derivative(0, 2, 0, 0) << '\n'
+            << "      formula vomma = " << formula_vomma << '\n'
+            << "autodiff call veta = " << call_price.derivative(0, 1, 1, 0) << '\n'
+            << "autodiff put  veta = " << put_price.derivative(0, 1, 1, 0) << '\n'
+            << "      formula veta = " << formula_veta << '\n'
+            << "\n## Third-order Greeks\n"
+            << "autodiff call speed = " << call_price.derivative(3, 0, 0, 0) << '\n'
+            << "autodiff put  speed = " << put_price.derivative(3, 0, 0, 0) << '\n'
+            << "      formula speed = " << formula_speed << '\n'
+            << "autodiff call zomma = " << call_price.derivative(2, 1, 0, 0) << '\n'
+            << "autodiff put  zomma = " << put_price.derivative(2, 1, 0, 0) << '\n'
+            << "      formula zomma = " << formula_zomma << '\n'
+            << "autodiff call color = " << call_price.derivative(2, 0, 1, 0) << '\n'
+            << "autodiff put  color = " << put_price.derivative(2, 0, 1, 0) << '\n'
+            << "      formula color = " << formula_color << '\n'
+            << "autodiff call ultima = " << call_price.derivative(0, 3, 0, 0) << '\n'
+            << "autodiff put  ultima = " << put_price.derivative(0, 3, 0, 0) << '\n'
+            << "      formula ultima = " << formula_ultima << '\n';
+  return 0;
+}
+/*
+Output:
+autodiff black-scholes call price = 56.5136030677739
+autodiff black-scholes put  price = 51.4109161009333
+
+## First-order Greeks
+autodiff call delta = 0.773818444921273
+ formula call delta = 0.773818444921274
+autodiff call vega  = 9.05493427705736
+ formula call vega  = 9.05493427705736
+autodiff call theta = -275.73013426444
+ formula call theta = -275.73013426444
+autodiff call rho   = 2.03320550539396
+ formula call rho   = 2.03320550539396
+
+autodiff put delta = -0.226181555078726
+ formula put delta = -0.226181555078726
+autodiff put vega  = 9.05493427705736
+ formula put vega  = 9.05493427705736
+autodiff put theta = -274.481417851526
+ formula put theta = -274.481417851526
+autodiff put rho   = -6.17753255212599
+ formula put rho   = -6.17753255212599
+
+## Second-order Greeks
+autodiff call gamma = 0.00199851912993254
+autodiff put  gamma = 0.00199851912993254
+      formula gamma = 0.00199851912993254
+autodiff call vanna = 0.0410279463126531
+autodiff put  vanna = 0.0410279463126531
+      formula vanna = 0.0410279463126531
+autodiff call charm = -1.2505564233679
+autodiff put  charm = -1.2505564233679
+      formula charm = -1.2505564233679
+autodiff call vomma = -0.928114149313108
+autodiff put  vomma = -0.928114149313108
+      formula vomma = -0.928114149313107
+autodiff call veta = 26.7947073115641
+autodiff put  veta = 26.7947073115641
+      formula veta = 26.7947073115641
+
+## Third-order Greeks
+autodiff call speed = -2.90117322380992e-05
+autodiff put  speed = -2.90117322380992e-05
+      formula speed = -2.90117322380992e-05
+autodiff call zomma = -0.000604548369901419
+autodiff put  zomma = -0.000604548369901419
+      formula zomma = -0.000604548369901419
+autodiff call color = -0.0184014426606065
+autodiff put  color = -0.0184014426606065
+      formula color = -0.0184014426606065
+autodiff call ultima = -0.0922426864775683
+autodiff put  ultima = -0.0922426864775683
+      formula ultima = -0.0922426864775685
+**/
diff --git a/src/boost/libs/math/example/autodiff_black_scholes_brief.cpp b/src/boost/libs/math/example/autodiff_black_scholes_brief.cpp
new file mode 100644
index 00000000..7078217b
--- /dev/null
+++ b/src/boost/libs/math/example/autodiff_black_scholes_brief.cpp
@@ -0,0 +1,70 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <iostream>
+#include <stdexcept>
+
+using namespace boost::math::constants;
+using namespace boost::math::differentiation;
+
+// Equations and function/variable names are from
+// https://en.wikipedia.org/wiki/Greeks_(finance)#Formulas_for_European_option_Greeks
+
+// Standard normal cumulative distribution function
+template <typename X>
+X Phi(X const& x) {
+  return 0.5 * erfc(-one_div_root_two<X>() * x);
+}
+
+enum class CP { call, put };
+
+// Assume zero annual dividend yield (q=0).
+template <typename Price, typename Sigma, typename Tau, typename Rate>
+promote<Price, Sigma, Tau, Rate> black_scholes_option_price(CP cp,
+                                                            double K,
+                                                            Price const& S,
+                                                            Sigma const& sigma,
+                                                            Tau const& tau,
+                                                            Rate const& r) {
+  using namespace std;
+  auto const d1 = (log(S / K) + (r + sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  auto const d2 = (log(S / K) + (r - sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  switch (cp) {
+    case CP::call:
+      return S * Phi(d1) - exp(-r * tau) * K * Phi(d2);
+    case CP::put:
+      return exp(-r * tau) * K * Phi(-d2) - S * Phi(-d1);
+    default:
+      throw std::runtime_error("Invalid CP value.");
+  }
+}
+
+int main() {
+  double const K = 100.0;                    // Strike price.
+  auto const S = make_fvar<double, 2>(105);  // Stock price.
+  double const sigma = 5;                    // Volatility.
+  double const tau = 30.0 / 365;             // Time to expiration in years. (30 days).
+  double const r = 1.25 / 100;               // Interest rate.
+  auto const call_price = black_scholes_option_price(CP::call, K, S, sigma, tau, r);
+  auto const put_price = black_scholes_option_price(CP::put, K, S, sigma, tau, r);
+
+  std::cout << "black-scholes call price = " << call_price.derivative(0) << '\n'
+            << "black-scholes put  price = " << put_price.derivative(0) << '\n'
+            << "call delta = " << call_price.derivative(1) << '\n'
+            << "put  delta = " << put_price.derivative(1) << '\n'
+            << "call gamma = " << call_price.derivative(2) << '\n'
+            << "put  gamma = " << put_price.derivative(2) << '\n';
+  return 0;
+}
+/*
+Output:
+black-scholes call price = 56.5136
+black-scholes put  price = 51.4109
+call delta = 0.773818
+put  delta = -0.226182
+call gamma = 0.00199852
+put  gamma = 0.00199852
+**/
diff --git a/src/boost/libs/math/example/autodiff_fourth_power.cpp b/src/boost/libs/math/example/autodiff_fourth_power.cpp
new file mode 100644
index 00000000..50f280b6
--- /dev/null
+++ b/src/boost/libs/math/example/autodiff_fourth_power.cpp
@@ -0,0 +1,34 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <iostream>
+
+template <typename T>
+T fourth_power(T const& x) {
+  T x4 = x * x;  // retval in operator*() uses x4's memory via NRVO.
+  x4 *= x4;      // No copies of x4 are made within operator*=() even when squaring.
+  return x4;     // x4 uses y's memory in main() via NRVO.
+}
+
+int main() {
+  using namespace boost::math::differentiation;
+
+  constexpr unsigned Order = 5;                  // Highest order derivative to be calculated.
+  auto const x = make_fvar<double, Order>(2.0);  // Find derivatives at x=2.
+  auto const y = fourth_power(x);
+  for (unsigned i = 0; i <= Order; ++i)
+    std::cout << "y.derivative(" << i << ") = " << y.derivative(i) << std::endl;
+  return 0;
+}
+/*
+Output:
+y.derivative(0) = 16
+y.derivative(1) = 32
+y.derivative(2) = 48
+y.derivative(3) = 48
+y.derivative(4) = 24
+y.derivative(5) = 0
+**/
diff --git a/src/boost/libs/math/example/autodiff_mixed_partials.cpp b/src/boost/libs/math/example/autodiff_mixed_partials.cpp
new file mode 100644
index 00000000..551429e0
--- /dev/null
+++ b/src/boost/libs/math/example/autodiff_mixed_partials.cpp
@@ -0,0 +1,293 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/lexical_cast.hpp>
+#include <boost/math/differentiation/autodiff.hpp>
+#include <boost/mp11/tuple.hpp>
+#include <boost/mp11/utility.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <iostream>
+
+using namespace boost::math::differentiation;
+
+struct f {
+  template <typename W, typename X, typename Y, typename Z>
+  promote<W, X, Y, Z> operator()(W const& w, X const& x, Y const& y, Z const& z) const {
+    return exp(w * sin(x * log(y) / z) + sqrt(w * z / (x * y))) + w * w / tan(z);
+  }
+};
+
+// Derivatives calculated from symbolic differentiation by Mathematica for comparison. Script:
+// mixed_partials.nb
+static constexpr std::array<char const*, 240> answers{
+    {"19878.40628980434922342465374997798674242532797789489",
+     "20731.74838274939517275508122761443159515217855975002",
+     "14667.60767623939014840117674691707821648144188283774",
+     "1840.559936449813118734351750381849294157477519107602",
+     "-9219.318005237072129605008516120710807803827373819700",
+     "-7272.300634012811783845589472196110804386170683300081",
+     "-2135.296370062283924160196772166043360841114107521292",
+     "3095.081027251846799545897828297310835169325417217168",
+     "4249.026762908615627428402369471953790564918480025345",
+     "2063.989061062734416582172072883742097425754355167541",
+     "-885.5284114876496084068555333811894392182458751895290",
+     "-1962.133420441743158021558423645064067562765178375508",
+     "-1846.899830787084518564013512948598850243350915531775",
+     "-160.9590127603295755195950112199107484483554942817846",
+     "1091.039412341633994110997652976585409621806446647794",
+     "452.4395574345229946707651998323417632800605985181691",
+     "666.4013922727704990031159406121675703174518834914461",
+     "-415.6464114333629107803309520898363153301435468382605",
+     "-625.1464179039986361267627631122900331946746137220517",
+     "369.9491669772617110087494756677334192842413470837587",
+     "-24330.89613849389343130420303653062335840497802221681",
+     "-18810.41605175626752065686192937776868736029049989926",
+     "-4890.406122702359099863022925593448420259414896197252",
+     "8833.005054768976417065486877649473665597894570245307",
+     "8484.350739681613747819854384228795938450532463850094",
+     "3097.204151240398893507362023543393154680147349049848",
+     "-3255.045136783440612110181337652522080890693968833148",
+     "-4342.778553332193097878812792875447018366988006584840",
+     "-2407.987237906523486012534085031032446996713414362131",
+     "861.1173916470300084261504495377425043024739914571554",
+     "2436.743725763308619092960749816106318692933687303014",
+     "-19.24649610733827783846392798978023489104363382129689",
+     "187.7855148870511714395275130898958731897480766620821",
+     "-1259.466063335212195169531010871023748854744563232277",
+     "-709.6860523972158261343923419671629587637051060458295",
+     "1423.000558608604536932163648918899935569543711292466",
+     "484.9208133389233959103861107714757012185008046446372",
+     "763.9746885074453180462508029718247316712990115789154",
+     "-327.4162918228055568224139277603073169658358026440432",
+     "-1122.337707248494521123614369562896901904418640152220",
+     "23973.06007192346989337502250398494874845408708506720",
+     "8840.543151778796869949670401421984604862699128880003",
+     "-9082.571033221549378277312292526023838132689941236879",
+     "-12270.27378289258717737657881957466807305650429436397",
+     "-4320.434071420599854743576892819691675331049612545664",
+     "3281.351967707280898543984556670710235259118405463698",
+     "5880.336263083418767219493592767818708317492833223933",
+     "-1288.482785219706549809211085113790275109642879331959",
+     "-803.9713537626580526627976840414468844364935388365037",
+     "-2986.387245331698390346145949708414455858834967096376",
+     "-586.7316859822658306283656047992829723003491823675739",
+     "3929.073189280739356198769778905960586080418779863615",
+     "1453.728280983826630077825553258703050898056317382483",
+     "1037.878071685953829685046234106860743366780050925514",
+     "-1482.745805277401336553926171580259185140208053329753",
+     "-1877.134792933828810602377451370316364621357891989679",
+     "-931.7138710369298207131581126980851620513905805624544",
+     "254.6565590420322632851077818917210811815919344882311",
+     "1391.248064745611663849820246430123214796614030838600",
+     "-431.4820563154137955051720207563800896297257103310465",
+     "16975.34005365179555009050533000516107937041784876054",
+     "19662.60356303341709846238790020024593550984564081068",
+     "15765.85130704020004301064240357947656083104783442825",
+     "3972.155036195937013764185795634749937308876197976202",
+     "-8681.748539789720512499473840242996096730194203989543",
+     "-7703.183042460387656743498394861780784700076575106134",
+     "-3049.708696569518774040135942468704911634779352213044",
+     "2971.469685992270876159892302788930292108129670398058",
+     "4370.196499857550025657084783894747734031876677385611",
+     "2524.632473357435670756946837415389227139966527203701",
+     "-656.6080000236679071742450437463693211275208125750923",
+     "-2423.452917325258132591368397957959217829861665178601",
+     "-2074.987664204263204162199830716851483704870169031179",
+     "-381.2253794988132984501358802316138392247470857452486",
+     "1219.507245791997351017860252538035146744682380716428",
+     "805.3802239840836877339667281819652171888443003165988",
+     "838.4004190058912380470543219448821914235443115661655",
+     "-390.6125197108983831575656956558201636111305409512701",
+     "-828.2085489298235758253219930356006757081473789845849",
+     "293.8999854454994790079171865082094494146506490533363",
+     "-22965.85985843951977785883587223006628792405076928067",
+     "-20026.69101529929621743747554537576887048069629325374",
+     "-7316.092745063355996548975300169565482331369744607021",
+     "8632.466133972614659252310985982644793465043032940318",
+     "8987.046882870452266200748127338744248816756004290490",
+     "4199.925399536137541108783465785304128965582292174062",
+     "-2958.429850896062893179851696175634522187021390095560",
+     "-5665.563891218624062243686482808197054863235184904433",
+     "-2945.404552250341615883104643651287431663294281737652",
+     "555.6566272478262524735403145861484390537770707372992",
+     "2936.796403550079139218970638242013974322758744804216",
+     "651.5191650747110008135060635556227666232180743487328",
+     "444.7629427486155148584918602702161457622049333694568",
+     "-1390.989671799095801316658971275073184600067187023729",
+     "-1142.861468946763860859271224968631944511098747155437",
+     "1541.978723117340843491920690654997335632919116206279",
+     "455.7146063293814470171599782651235242129856311098151",
+     "998.7943503940357037260061331795191352937661538946216",
+     "-204.8485581981121295383497187536442450324011940647949",
+     "-1560.354115460478786113711476250386112014306509906244",
+     "25278.29450605247223516529112562423587288781657290275",
+     "11873.22337179046469888005044109378787446671408425048",
+     "-8242.187303368878103323785658604027555126374435611949",
+     "-15939.98056417465751946455567789306872745912255628512",
+     "-5648.833539698031486810309720694416837861242341227280",
+     "2751.513926122717118525029734574022921057261239749143",
+     "7349.432002479077129245930487320138527887196396579062",
+     "194.9972545980371127390142753318206783334452047502143",
+     "-402.8156857682688265622049800462325595907987257153782",
+     "-3518.871908683063371167722463713374376552181380727802",
+     "-1494.304793474682619087166400375396721307777439607909",
+     "4640.927509426080087451995953783429589632369803588940",
+     "1585.757705203227141964561144798400703219894640413562",
+     "1565.169992404407137888592924342582799362959736185298",
+     "-1513.259809733540018859089666188672238777297615451800",
+     "-2974.437872674680092826212901753475972242208819679978",
+     "-1203.236292653823441598437153564865951527142648802876",
+     "72.52425949879153384040698301599842998884036742649047",
+     "1871.625274253419949517250818647194858608124560073483",
+     "-2.489984337379681666361341362948045621969765070197429",
+     "14462.74423518633102580192225823524237502860825596609",
+     "18367.74740916432711689913219912502810575714860430297",
+     "16565.76324499673961400925630526921000337443450249297",
+     "6054.315252651102952034254100792777051580892954459740",
+     "-8084.981271982030146065497115893934803061545998433631",
+     "-7988.314359128201297240919364015959817416101519999194",
+     "-3989.319346941492698525859335371231602272119870228687",
+     "2616.721186534649016680934493970036169897788778926434",
+     "4420.859270970486562095630193355634655337290952862363",
+     "2973.033519764547909146474824627687039969488363657908",
+     "-324.1453016982713707989332262410969595194473127209825",
+     "-2843.242039958969221918101261762794653424879358390111",
+     "-2281.461806143289517702658392470195144560150025832652",
+     "-642.9353229582055924928927665183236308235598082837497",
+     "1299.287274176955358490409470855361289523321919337117",
+     "1238.597083372069762230817383681570828675426312803376",
+     "1021.334042770848165110529668635291528449691525937968",
+     "-329.0529345069271079573348500899329811170455711610811",
+     "-1046.254301544052075124857362060924818517694048905299",
+     "134.7343039554480655186788228552325941588620079791654",
+     "-21431.41643507661192392650726158493697457993678274754",
+     "-20856.88281479015784660571401663659059349708627445067",
+     "-9829.261970591930907585958999196966814861251125275804",
+     "7806.858647077811827981774785577363365546600234846335",
+     "9319.700085649568180114405924685286453652118439999060",
+     "5319.898768025758256383579171601100187435481641933401",
+     "-2387.954826466841736373447020403170264502066930376059",
+     "-6958.298525165359760665355886221309296550746152109847",
+     "-3468.539106391972560670887295398968213297736424267559",
+     "130.4167253342709401698825285623058661085645012029873",
+     "3371.139930235175987370940343096776588915600470241960",
+     "1569.232678004908105313880673484968847566948896728142",
+     "750.0912101179065245750415609380442359608197763310413",
+     "-1462.257209626597452197736652121394535208578921869658",
+     "-1661.577809630240615684355192771059515041884351493459",
+     "1509.628528603869133250456671040505284128185908768108",
+     "383.8950902580816259502239917715884779698864996879279",
+     "1248.051096343638013308778159911906703363730187986273",
+     "17.18569564265260274901760034571610990094333217519021",
+     "-2038.024598002604853054532645991188063394308018947374",
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+     "14943.61943482227903328457116850255971625430735856355",
+     "-6650.686262276131072415580833374348889422387492668440",
+     "-19519.81529547404067945704333355155941895199228108631",
+     "-6983.190236500848647457042860591724089812405118922223",
+     "1899.297502873688983038424995203515277346497811783168",
+     "8715.003652642963488202943622358986745434720576722170",
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+     "136.8920793093482831910443246272238406481527839521448",
+     "-3954.732706163417141961077488373290331419627965482785",
+     "-2673.556440231186786375595871506657802723673830409989",
+     "5078.483935249043594670125721926702845818403229980691",
+     "1643.459143721204817182772630730123271413273760820347",
+     "2182.216979506380293664703833586468523416961563720645",
+     "-1345.838830963620501537777318021157952722412472356094",
+     "-4309.285350629108413525304135326225818270616857298235",
+     "-1488.050869922417817689426519211523527088509094291312",
+     "-228.0584943070343720919835603886532454450555855354340",
+     "2373.398940425709177876367020236623713151456855728138",
+     "773.8481328103928058186643458500631723389600248582833",
+     "12294.40387737855548614823173849184004455244840062464",
+     "16977.34966571858301862913845572077593071467784570724",
+     "17057.17475622503175013658695220988017704387344177727",
+     "8121.189758511830935868344768490586007624092305459885",
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+     "-4912.881158613784419581465435995807691111897279859302",
+     "2030.653136098933717888434825960516061206391833398177",
+     "4407.490527709412730881592594976776779312299897714205",
+     "3392.434568825892752350943548729559313328141534290860",
+     "104.0372355841506198680609232049783930050635078746762",
+     "-3180.817620484463214391157460812371170723810181051096",
+     "-2460.523987075069437321629265332968914260047631079537",
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+     "1315.246905571876456706320919211807375254975062430487",
+     "1735.862392405992188189147617586418269768276241147998",
+     "1209.759657223166954850207025399731503326968841680649",
+     "-227.3320054566642297128407910803774238020746116287390",
+     "-1266.126209991929259396966729664100401813091860201682",
+     "-123.0794572338149156803989321165094334755661021559442",
+     "-19806.90794333834685506732819834090525250045748665845",
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+     "-12317.58384430130805020250005527399703840208659666608",
+     "6349.418659888281474363154227419204673663621492760982",
+     "9489.819687696527735093973063679592839666155440941289",
+     "6409.538948456309994399374417972222747225748405617373",
+     "-1550.281799013125267606263057621300789555474258987989",
+     "-8109.711199785217512061886243157800006692908759687186",
+     "-3957.840330296874877742767473517819198882831790006004",
+     "-404.0796555836667858753163727999380679499192203780272",
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+     "-1456.269645549946420883827817869876763706452982413420",
+     "-2244.380608735636962338392373719455877272151458411079",
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+     "265.2206730327749346649809229271069944357537135668622",
+     "1496.091578778639488439197917198148587432113387871024",
+     "354.6137351047722781932932090799444060236757625488818",
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+     "-8268.613747173738971390434576274225941735552759965376",
+     "740.4056074392611464740778308961471299437619012164253",
+     "9848.900182836035080973766381422758538530595451048714",
+     "5213.598341476210337710365441072904970861063876340963",
+     "801.2462923723508233330997243930793458484750729415321",
+     "-4241.870133920767845856621968904769727964770527614244",
+     "-4092.241355868550570635569815488217469506874233892269",
+     "5074.435909206083943809967780457349942315503368249477",
+     "1607.765329254820915989772546102530187884674235100928",
+     "2861.155651116567526208762405651011317435252198548496",
+     "-918.9310546317296090214320737728927500362088478158839",
+     "-5803.211323646092019259074499814222806376618363553826",
+     "-1767.541897994477314401145980308432268207111761980100",
+     "-663.0646207520075726320417301262932382663072876188661",
+     "2837.903194613938414496183429129769829434890424213252",
+     "1976.319600747797717779881875290418720908121189218755"}};
+
+int main() {
+  using float50 = boost::multiprecision::cpp_bin_float_50;
+  constexpr std::size_t Nw = 3;  // Max order of derivative to calculate for w
+  constexpr std::size_t Nx = 2;  // Max order of derivative to calculate for x
+  constexpr std::size_t Ny = 4;  // Max order of derivative to calculate for y
+  constexpr std::size_t Nz = 3;  // Max order of derivative to calculate for z
+  auto const variables = make_ftuple<float50, Nw, Nx, Ny, Nz>(11, 12, 13, 14);
+  auto const v = boost::mp11::tuple_apply(f{}, variables);
+  std::size_t ia = 0;
+  double max_relative_error = 0;
+  for (std::size_t iw = 0; iw <= Nw; ++iw)
+    for (std::size_t ix = 0; ix <= Nx; ++ix)
+      for (std::size_t iy = 0; iy <= Ny; ++iy)
+        for (std::size_t iz = 0; iz <= Nz; ++iz) {
+          float50 const value = v.derivative(iw, ix, iy, iz);
+          float50 const answer = boost::lexical_cast<float50>(answers[ia++]);
+          double const error = static_cast<double>(fabs(value / answer - 1));
+          max_relative_error = (std::max)(error, max_relative_error);
+        }
+  std::cout << "max_relative_error = " << std::setprecision(3) << max_relative_error << " out of " << ia
+            << " calculated values." << std::endl;
+  return 0;
+}
+/*
+Output:
+max_relative_error = 6.82e-13 out of 240 calculated values. (for double)
+max_relative_error = 3.36e-47 out of 240 calculated values. (for cpp_bin_float_50)
+**/
diff --git a/src/boost/libs/math/example/autodiff_multiprecision.cpp b/src/boost/libs/math/example/autodiff_multiprecision.cpp
new file mode 100644
index 00000000..81c7c27c
--- /dev/null
+++ b/src/boost/libs/math/example/autodiff_multiprecision.cpp
@@ -0,0 +1,46 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <iostream>
+
+using namespace boost::math::differentiation;
+
+template <typename W, typename X, typename Y, typename Z>
+promote<W, X, Y, Z> f(const W& w, const X& x, const Y& y, const Z& z) {
+  using namespace std;
+  return exp(w * sin(x * log(y) / z) + sqrt(w * z / (x * y))) + w * w / tan(z);
+}
+
+int main() {
+  using float50 = boost::multiprecision::cpp_bin_float_50;
+
+  constexpr unsigned Nw = 3;  // Max order of derivative to calculate for w
+  constexpr unsigned Nx = 2;  // Max order of derivative to calculate for x
+  constexpr unsigned Ny = 4;  // Max order of derivative to calculate for y
+  constexpr unsigned Nz = 3;  // Max order of derivative to calculate for z
+  // Declare 4 independent variables together into a std::tuple.
+  auto const variables = make_ftuple<float50, Nw, Nx, Ny, Nz>(11, 12, 13, 14);
+  auto const& w = std::get<0>(variables);  // Up to Nw derivatives at w=11
+  auto const& x = std::get<1>(variables);  // Up to Nx derivatives at x=12
+  auto const& y = std::get<2>(variables);  // Up to Ny derivatives at y=13
+  auto const& z = std::get<3>(variables);  // Up to Nz derivatives at z=14
+  auto const v = f(w, x, y, z);
+  // Calculated from Mathematica symbolic differentiation.
+  float50 const answer("1976.319600747797717779881875290418720908121189218755");
+  std::cout << std::setprecision(std::numeric_limits<float50>::digits10)
+            << "mathematica   : " << answer << '\n'
+            << "autodiff      : " << v.derivative(Nw, Nx, Ny, Nz) << '\n'
+            << std::setprecision(3)
+            << "relative error: " << (v.derivative(Nw, Nx, Ny, Nz) / answer - 1) << '\n';
+  return 0;
+}
+/*
+Output:
+mathematica   : 1976.3196007477977177798818752904187209081211892188
+autodiff      : 1976.3196007477977177798818752904187209081211892188
+relative error: 2.67e-50
+**/
diff --git a/src/boost/libs/math/example/barycentric_interpolation_example.cpp b/src/boost/libs/math/example/barycentric_interpolation_example.cpp
new file mode 100644
index 00000000..263e20f1
--- /dev/null
+++ b/src/boost/libs/math/example/barycentric_interpolation_example.cpp
@@ -0,0 +1,92 @@
+
+// Copyright Nick Thompson, 2017
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#include <iostream>
+#include <limits>
+#include <vector>
+
+//[barycentric_rational_example
+
+/*`
+This example shows how to use barycentric rational interpolation, using Walter Kohn's classic paper
+"Solution of the Schrodinger Equation in Periodic Lattices with an Application to Metallic Lithium"
+In this paper, Kohn needs to repeatedly solve an ODE (the radial Schrodinger equation) given a potential
+which is only known at non-equally samples data.
+
+If he'd only had the barycentric rational interpolant of Boost.Math!
+
+References: Kohn, W., and N. Rostoker. "Solution of the Schrodinger equation in periodic lattices with an application to metallic lithium." Physical Review 94.5 (1954): 1111.
+*/
+
+#include <boost/math/interpolators/barycentric_rational.hpp>
+
+int main()
+{
+    // The lithium potential is given in Kohn's paper, Table I:
+    std::vector<double> r(45);
+    std::vector<double> mrV(45);
+
+    // We'll skip the code for filling the above vectors with data for now...
+    //<-
+
+    r[0] = 0.02; mrV[0] = 5.727;
+    r[1] = 0.04, mrV[1] = 5.544;
+    r[2] = 0.06, mrV[2] = 5.450;
+    r[3] = 0.08, mrV[3] = 5.351;
+    r[4] = 0.10, mrV[4] = 5.253;
+    r[5] = 0.12, mrV[5] = 5.157;
+    r[6] = 0.14, mrV[6] = 5.058;
+    r[7] = 0.16, mrV[7] = 4.960;
+    r[8] = 0.18, mrV[8] = 4.862;
+    r[9] = 0.20, mrV[9] = 4.762;
+    r[10] = 0.24, mrV[10] = 4.563;
+    r[11] = 0.28, mrV[11] = 4.360;
+    r[12] = 0.32, mrV[12] = 4.1584;
+    r[13] = 0.36, mrV[13] = 3.9463;
+    r[14] = 0.40, mrV[14] = 3.7360;
+    r[15] = 0.44, mrV[15] = 3.5429;
+    r[16] = 0.48, mrV[16] = 3.3797;
+    r[17] = 0.52, mrV[17] = 3.2417;
+    r[18] = 0.56, mrV[18] = 3.1209;
+    r[19] = 0.60, mrV[19] = 3.0138;
+    r[20] = 0.68, mrV[20] = 2.8342;
+    r[21] = 0.76, mrV[21] = 2.6881;
+    r[22] = 0.84, mrV[22] = 2.5662;
+    r[23] = 0.92, mrV[23] = 2.4242;
+    r[24] = 1.00, mrV[24] = 2.3766;
+    r[25] = 1.08, mrV[25] = 2.3058;
+    r[26] = 1.16, mrV[26] = 2.2458;
+    r[27] = 1.24, mrV[27] = 2.2035;
+    r[28] = 1.32, mrV[28] = 2.1661;
+    r[29] = 1.40, mrV[29] = 2.1350;
+    r[30] = 1.48, mrV[30] = 2.1090;
+    r[31] = 1.64, mrV[31] = 2.0697;
+    r[32] = 1.80, mrV[32] = 2.0466;
+    r[33] = 1.96, mrV[33] = 2.0325;
+    r[34] = 2.12, mrV[34] = 2.0288;
+    r[35] = 2.28, mrV[35] = 2.0292;
+    r[36] = 2.44, mrV[36] = 2.0228;
+    r[37] = 2.60, mrV[37] = 2.0124;
+    r[38] = 2.76, mrV[38] = 2.0065;
+    r[39] = 2.92, mrV[39] = 2.0031;
+    r[40] = 3.08, mrV[40] = 2.0015;
+    r[41] = 3.24, mrV[41] = 2.0008;
+    r[42] = 3.40, mrV[42] = 2.0004;
+    r[43] = 3.56, mrV[43] = 2.0002;
+    r[44] = 3.72, mrV[44] = 2.0001;
+    //->
+
+    // Now we want to interpolate this potential at any r:
+    boost::math::barycentric_rational<double> b(r.data(), mrV.data(), r.size());
+
+    for (size_t i = 1; i < 8; ++i)
+    {
+        double r = i*0.5;
+        std::cout <<  "(r, V) = (" << r << ", " << -b(r)/r << ")\n";
+    }
+}
+//] [/barycentric_rational_example]
diff --git a/src/boost/libs/math/example/barycentric_interpolation_example_2.cpp b/src/boost/libs/math/example/barycentric_interpolation_example_2.cpp
new file mode 100644
index 00000000..c7e834ec
--- /dev/null
+++ b/src/boost/libs/math/example/barycentric_interpolation_example_2.cpp
@@ -0,0 +1,108 @@
+
+// Copyright Nick Thompson, 2017
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#include <iostream>
+#include <limits>
+#include <map>
+
+//[barycentric_rational_example2
+
+/*`This further example shows how to use the iterator based constructor, and then uses the
+function object in our root finding algorithms to locate the points where the potential
+achieves a specific value.
+*/
+
+#include <boost/math/interpolators/barycentric_rational.hpp>
+#include <boost/range/adaptors.hpp>
+#include <boost/math/tools/roots.hpp>
+
+int main()
+{
+    // The lithium potential is given in Kohn's paper, Table I.
+    // (We could equally easily use an unordered_map, a list of tuples or pairs, or a 2-dimentional array).
+    std::map<double, double> r;
+
+    r[0.02] = 5.727;
+    r[0.04] = 5.544;
+    r[0.06] = 5.450;
+    r[0.08] = 5.351;
+    r[0.10] = 5.253;
+    r[0.12] = 5.157;
+    r[0.14] = 5.058;
+    r[0.16] = 4.960;
+    r[0.18] = 4.862;
+    r[0.20] = 4.762;
+    r[0.24] = 4.563;
+    r[0.28] = 4.360;
+    r[0.32] = 4.1584;
+    r[0.36] = 3.9463;
+    r[0.40] = 3.7360;
+    r[0.44] = 3.5429;
+    r[0.48] = 3.3797;
+    r[0.52] = 3.2417;
+    r[0.56] = 3.1209;
+    r[0.60] = 3.0138;
+    r[0.68] = 2.8342;
+    r[0.76] = 2.6881;
+    r[0.84] = 2.5662;
+    r[0.92] = 2.4242;
+    r[1.00] = 2.3766;
+    r[1.08] = 2.3058;
+    r[1.16] = 2.2458;
+    r[1.24] = 2.2035;
+    r[1.32] = 2.1661;
+    r[1.40] = 2.1350;
+    r[1.48] = 2.1090;
+    r[1.64] = 2.0697;
+    r[1.80] = 2.0466;
+    r[1.96] = 2.0325;
+    r[2.12] = 2.0288;
+    r[2.28] = 2.0292;
+    r[2.44] = 2.0228;
+    r[2.60] = 2.0124;
+    r[2.76] = 2.0065;
+    r[2.92] = 2.0031;
+    r[3.08] = 2.0015;
+    r[3.24] = 2.0008;
+    r[3.40] = 2.0004;
+    r[3.56] = 2.0002;
+    r[3.72] = 2.0001;
+
+    // Let's discover the absissa that will generate a potential of exactly 3.0,
+    // start by creating 2 ranges for the x and y values:
+    auto x_range = boost::adaptors::keys(r);
+    auto y_range = boost::adaptors::values(r);
+    boost::math::barycentric_rational<double> b(x_range.begin(), x_range.end(), y_range.begin());
+    //
+    // We'll use a lamda expression to provide the functor to our root finder, since we want
+    // the abscissa value that yields 3, not zero.  We pass the functor b by value to the
+    // lambda expression since barycentric_rational is trivial to copy.
+    // Here we're using simple bisection to find the root:
+    boost::uintmax_t iterations = (std::numeric_limits<boost::uintmax_t>::max)();
+    double abscissa_3 = boost::math::tools::bisect([=](double x) { return b(x) - 3; }, 0.44, 1.24, boost::math::tools::eps_tolerance<double>(), iterations).first;
+    std::cout << "Abscissa value that yields a potential of 3 = " << abscissa_3 << std::endl;
+    std::cout << "Root was found in " << iterations << " iterations." << std::endl;
+    //
+    // However, we have a more efficient root finding algorithm than simple bisection:
+    iterations = (std::numeric_limits<boost::uintmax_t>::max)();
+    abscissa_3 = boost::math::tools::bracket_and_solve_root([=](double x) { return b(x) - 3; }, 0.6, 1.2, false, boost::math::tools::eps_tolerance<double>(), iterations).first;
+    std::cout << "Abscissa value that yields a potential of 3 = " << abscissa_3 << std::endl;
+    std::cout << "Root was found in " << iterations << " iterations." << std::endl;
+}
+//] [/barycentric_rational_example2]
+
+
+//[barycentric_rational_example2_out
+/*` Program output is:
+[pre
+Abscissa value that yields a potential of 3 = 0.604728
+Root was found in 54 iterations.
+Abscissa value that yields a potential of 3 = 0.604728
+Root was found in 10 iterations.
+]
+*/
+//]
diff --git a/src/boost/libs/math/example/bernoulli_example.cpp b/src/boost/libs/math/example/bernoulli_example.cpp
new file mode 100644
index 00000000..5a2c5896
--- /dev/null
+++ b/src/boost/libs/math/example/bernoulli_example.cpp
@@ -0,0 +1,207 @@
+//  Copyright Paul A. Bristow 2013.
+//  Copyright Nakhar Agrawal 2013.
+//  Copyright John Maddock 2013.
+//  Copyright Christopher Kormanyos 2013.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#pragma warning (disable : 4100) // unreferenced formal parameter.
+#pragma warning (disable : 4127) // conditional expression is constant.
+
+//#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/bernoulli.hpp>
+
+#include <iostream>
+
+/* First 50 from 2 to 100 inclusive: */
+/* TABLE[N[BernoulliB[n], 200], {n,2,100,2}] */
+
+//SC_(0.1666666666666666666666666666666666666666), 
+//SC_(-0.0333333333333333333333333333333333333333), 
+//SC_(0.0238095238095238095238095238095238095238), 
+//SC_(-0.0333333333333333333333333333333333333333), 
+//SC_(0.0757575757575757575757575757575757575757), 
+//SC_(-0.2531135531135531135531135531135531135531), 
+//SC_(1.1666666666666666666666666666666666666666), 
+//SC_(-7.0921568627450980392156862745098039215686), 
+//SC_(54.9711779448621553884711779448621553884711), 
+
+int main()
+{
+  //[bernoulli_example_1
+
+/*`A simple example computes the value of B[sub 4] where the return type is `double`,
+note that the argument to bernoulli_b2n is ['2] not ['4] since it computes B[sub 2N].
+
+
+*/ 
+  try
+  { // It is always wise to use try'n'catch blocks around Boost.Math functions
+    // so that any informative error messages can be displayed in the catch block.
+  std::cout
+    << std::setprecision(std::numeric_limits<double>::digits10)
+    << boost::math::bernoulli_b2n<double>(2) << std::endl;
+
+/*`So B[sub 4] == -1/30 == -0.0333333333333333 
+
+If we use Boost.Multiprecision and its 50 decimal digit floating-point type `cpp_dec_float_50`,
+we can calculate the value of much larger numbers like B[sub 200]
+and also obtain much higher precision.
+*/
+
+  std::cout
+    << std::setprecision(std::numeric_limits<boost::multiprecision::cpp_dec_float_50>::digits10)
+    << boost::math::bernoulli_b2n<boost::multiprecision::cpp_dec_float_50>(100) << std::endl;
+ 
+//] //[/bernoulli_example_1]
+
+//[bernoulli_example_2
+/*`We can compute and save all the float-precision Bernoulli numbers from one call.
+*/
+  std::vector<float> bn; // Space for 32-bit `float` precision Bernoulli numbers.
+
+  // Start with Bernoulli number 0.
+  boost::math::bernoulli_b2n<float>(0, 32, std::back_inserter(bn)); // Fill vector with even Bernoulli numbers.
+
+  for(size_t i = 0; i < bn.size(); i++)
+  { // Show vector of even Bernoulli numbers, showing all significant decimal digits.
+      std::cout << std::setprecision(std::numeric_limits<float>::digits10)
+          << i*2 << ' '           
+          << bn[i]
+          << std::endl;
+  }
+//] //[/bernoulli_example_2]
+
+  }
+  catch(const std::exception& ex)
+  {
+     std::cout << "Thrown Exception caught: " << ex.what() << std::endl;
+  }
+
+
+//[bernoulli_example_3    
+/*`Of course, for any floating-point type, there is a maximum Bernoulli number that can be computed
+  before it overflows the exponent.
+  By default policy, if we try to compute too high a Bernoulli number, an exception will be thrown.
+*/
+  try
+  {
+    std::cout
+    << std::setprecision(std::numeric_limits<float>::digits10)
+    << "Bernoulli number " << 33 * 2 <<std::endl;
+
+    std::cout << boost::math::bernoulli_b2n<float>(33) << std::endl;
+  }
+  catch (std::exception ex)
+  {
+    std::cout << "Thrown Exception caught: " << ex.what() << std::endl;
+  }
+
+/*`
+and we will get a helpful error message (provided try'n'catch blocks are used).
+*/
+
+//] //[/bernoulli_example_3]
+
+//[bernoulli_example_4
+/*For example:
+*/
+   std::cout << "boost::math::max_bernoulli_b2n<float>::value = "  << boost::math::max_bernoulli_b2n<float>::value << std::endl;
+   std::cout << "Maximum Bernoulli number using float is " << boost::math::bernoulli_b2n<float>( boost::math::max_bernoulli_b2n<float>::value) << std::endl;
+   std::cout << "boost::math::max_bernoulli_b2n<double>::value = "  << boost::math::max_bernoulli_b2n<double>::value << std::endl;
+   std::cout << "Maximum Bernoulli number using double is " << boost::math::bernoulli_b2n<double>( boost::math::max_bernoulli_b2n<double>::value) << std::endl;
+  //] //[/bernoulli_example_4]
+
+//[tangent_example_1
+
+/*`We can compute and save a few Tangent numbers.
+*/
+  std::vector<float> tn; // Space for some `float` precision Tangent numbers.
+
+  // Start with Bernoulli number 0.
+  boost::math::tangent_t2n<float>(1, 6, std::back_inserter(tn)); // Fill vector with even Tangent numbers.
+
+  for(size_t i = 0; i < tn.size(); i++)
+  { // Show vector of even Tangent numbers, showing all significant decimal digits.
+      std::cout << std::setprecision(std::numeric_limits<float>::digits10)
+          << " "
+          << tn[i];
+  }
+  std::cout << std::endl;
+
+//] [/tangent_example_1]
+
+// 1, 2, 16, 272, 7936, 353792, 22368256, 1903757312 
+
+
+
+} // int main()
+
+/*
+
+//[bernoulli_output_1
+  -3.6470772645191354362138308865549944904868234686191e+215
+//] //[/bernoulli_output_1]
+
+//[bernoulli_output_2
+
+  0 1
+  2 0.166667
+  4 -0.0333333
+  6 0.0238095
+  8 -0.0333333
+  10 0.0757576
+  12 -0.253114
+  14 1.16667
+  16 -7.09216
+  18 54.9712
+  20 -529.124
+  22 6192.12
+  24 -86580.3
+  26 1.42552e+006
+  28 -2.72982e+007
+  30 6.01581e+008
+  32 -1.51163e+010
+  34 4.29615e+011
+  36 -1.37117e+013
+  38 4.88332e+014
+  40 -1.92966e+016
+  42 8.41693e+017
+  44 -4.03381e+019
+  46 2.11507e+021
+  48 -1.20866e+023
+  50 7.50087e+024
+  52 -5.03878e+026
+  54 3.65288e+028
+  56 -2.84988e+030
+  58 2.38654e+032
+  60 -2.14e+034
+  62 2.0501e+036
+//] //[/bernoulli_output_2]
+
+//[bernoulli_output_3
+ Bernoulli number 66
+ Thrown Exception caught: Error in function boost::math::bernoulli_b2n<float>(n):
+ Overflow evaluating function at 33
+//] //[/bernoulli_output_3]
+//[bernoulli_output_4
+  boost::math::max_bernoulli_b2n<float>::value = 32
+  Maximum Bernoulli number using float is -2.0938e+038
+  boost::math::max_bernoulli_b2n<double>::value = 129
+  Maximum Bernoulli number using double is 1.33528e+306
+//] //[/bernoulli_output_4]
+
+  
+//[tangent_output_1
+   1 2 16 272 7936 353792
+//] [/tangent_output_1]
+
+
+
+*/
+
+
diff --git a/src/boost/libs/math/example/bessel_errors_example.cpp b/src/boost/libs/math/example/bessel_errors_example.cpp
new file mode 100644
index 00000000..1b772926
--- /dev/null
+++ b/src/boost/libs/math/example/bessel_errors_example.cpp
@@ -0,0 +1,171 @@
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <exception>
+
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// Test values can be calculated using [@wolframalpha.com WolframAplha]
+// See also http://dlmf.nist.gov/10.21
+
+//[bessel_errors_example_1
+
+/*`[h5 Error messages from 'bad' input]
+
+Another example demonstrates calculating zeros of the Bessel functions
+showing the error messages from 'bad' input is handled by throwing exceptions.
+
+To use the functions for finding zeros of the functions we need:
+*/
+  #include <boost/math/special_functions/bessel.hpp>
+  #include <boost/math/special_functions/airy.hpp>
+
+//] [/bessel_errors_example_1]
+
+int main()
+{
+//[bessel_errors_example_2
+
+/*`[tip It is always wise to place all code using Boost.Math inside try'n'catch blocks;
+this will ensure that helpful error messages can be shown when exceptional conditions arise.]
+
+Examples below show messages from several 'bad' arguments that throw a `domain_error` exception.
+*/
+  try
+  { // Try a zero order v.
+    float dodgy_root = boost::math::cyl_bessel_j_zero(0.F, 0);
+    std::cout << "boost::math::cyl_bessel_j_zero(0.F, 0) " << dodgy_root << std::endl;
+    // Thrown exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int):
+    // Requested the 0'th zero of J0, but the rank must be > 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+/*`[note The type shown in the error message is the type [*after promotion],
+using __precision_policy and __promotion_policy, from `float` to `double` in this case.]
+
+In this example the promotion goes:
+
+# Arguments are `float` and `int`.
+# Treat `int` "as if" it were a `double`, so arguments are `float` and `double`.
+# Common type is `double` - so that's the precision we want (and the type that will be returned).
+# Evaluate internally as `double` for full `float` precision.
+
+See full code for other examples that promote from `double` to `long double`.
+
+Other examples of 'bad' inputs like infinity and NaN are below.
+Some compiler warnings indicate that 'bad' values are detected at compile time.
+*/
+
+  try
+  { // order v = inf
+     std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << std::endl;
+     double inf = std::numeric_limits<double>::infinity();
+     double inf_root = boost::math::cyl_bessel_j_zero(inf, 1);
+     std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
+     // Order argument is 1.#INF, but must be finite >= 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // order v = NaN, rank m = 1
+     std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << std::endl;
+     double nan = std::numeric_limits<double>::quiet_NaN();
+     double nan_root = boost::math::cyl_bessel_j_zero(nan, 1);
+     std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << nan_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
+     // Order argument is 1.#QNAN, but must be finite >= 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+/*`The output from other examples are shown appended to the full code listing.
+*/
+//] [/bessel_errors_example_2]
+  try
+  {   // Try a zero rank m.
+    std::cout << "boost::math::cyl_neumann_zero(0.0, 0) " << std::endl;
+    double dodgy_root = boost::math::cyl_bessel_j_zero(0.0, 0);
+    //  warning C4146: unary minus operator applied to unsigned type, result still unsigned.
+    std::cout << "boost::math::cyl_neumann_zero(0.0, -1) " << dodgy_root << std::endl;
+    //  boost::math::cyl_neumann_zero(0.0, -1) 6.74652e+009
+    // This *should* fail because m is unreasonably large.
+
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // m = inf
+   std::cout << "boost::math::cyl_bessel_j_zero(0.0, inf) " << std::endl;
+   double inf = std::numeric_limits<double>::infinity();
+     double inf_root = boost::math::cyl_bessel_j_zero(0.0, inf);
+     // warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
+     std::cout << "boost::math::cyl_bessel_j_zero(0.0, inf) " << inf_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int):
+     // Requested the 0'th zero, but must be > 0 !
+
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // m = NaN
+     double nan = std::numeric_limits<double>::quiet_NaN();
+     double nan_root = boost::math::airy_ai_zero<double>(nan);
+     // warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
+     std::cout << "boost::math::airy_ai_zero<double>(nan) " << nan_root << std::endl;
+     // Thrown exception Error in function boost::math::airy_ai_zero<double>(double,double):
+     // The requested rank of the zero is 0, but must be 1 or more !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+ } // int main()
+
+/*
+Output:
+
+  Description: Autorun "J:\Cpp\big_number\Debug\bessel_errors_example.exe"
+  Thrown exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Requested the 0'th zero of J0, but the rank must be > 0 !
+  boost::math::cyl_bessel_j_zero(inf, 1) 
+  Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#INF, but must be finite >= 0 !
+  boost::math::cyl_bessel_j_zero(nan, 1) 
+  Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#QNAN, but must be finite >= 0 !
+  boost::math::cyl_neumann_zero(0.0, 0) 
+  Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the 0'th zero of J0, but the rank must be > 0 !
+  boost::math::cyl_bessel_j_zero(0.0, inf) 
+  Thrown exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the -2147483648'th zero, but the rank must be positive !
+  Thrown exception Error in function boost::math::airy_ai_zero<double>(double,double): The requested rank of the zero is 0, but must be 1 or more !
+
+ 
+*/
+
diff --git a/src/boost/libs/math/example/bessel_zeros_example.cpp b/src/boost/libs/math/example/bessel_zeros_example.cpp
new file mode 100644
index 00000000..0d3ec3cc
--- /dev/null
+++ b/src/boost/libs/math/example/bessel_zeros_example.cpp
@@ -0,0 +1,447 @@
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// Test values can be calculated using [@wolframalpha.com WolframAplha]
+// See also http://dlmf.nist.gov/10.21
+
+//[bessel_zero_example_1
+
+/*`This example demonstrates calculating zeros of the Bessel, Neumann and Airy functions.
+It also shows how Boost.Math and Boost.Multiprecision can be combined to provide
+a many decimal digit precision. For 50 decimal digit precision we need to include
+*/
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+/*`and a `typedef` for `float_type` may be convenient
+(allowing a quick switch to re-compute at built-in `double` or other precision)
+*/
+  typedef boost::multiprecision::cpp_dec_float_50 float_type;
+
+//`To use the functions for finding zeros of the functions we need
+
+  #include <boost/math/special_functions/bessel.hpp>
+
+//`This file includes the forward declaration signatures for the zero-finding functions:
+
+//  #include <boost/math/special_functions/math_fwd.hpp>
+
+/*`but more details are in the full documentation, for example at
+[@http://www.boost.org/doc/libs/1_53_0/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html Boost.Math Bessel functions]
+*/
+
+/*`This example shows obtaining both a single zero of the Bessel function,
+and then placing multiple zeros into a container like `std::vector` by providing an iterator.
+The signature of the single value function is:
+
+  template <class T>
+  inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type
+    cyl_bessel_j_zero(T v,  // Floating-point value for Jv.
+    int m); // start index.
+
+The result type is controlled by the floating-point type of parameter `v`
+(but subject to the usual __precision_policy and __promotion_policy).
+
+The signature of multiple zeros function is:
+
+  template <class T, class OutputIterator>
+  inline OutputIterator cyl_bessel_j_zero(T v, // Floating-point value for Jv.
+                                int start_index, // 1-based start index.
+                                unsigned number_of_zeros,
+                                OutputIterator out_it); // iterator into container for zeros.
+
+There is also a version which allows control of the __policy_section for error handling and precision.
+
+  template <class T, class OutputIterator, class Policy>
+  inline OutputIterator cyl_bessel_j_zero(T v, // Floating-point value for Jv.
+                                int start_index, // 1-based start index.
+                                unsigned number_of_zeros,
+                                OutputIterator out_it,
+                                const Policy& pol); // iterator into container for zeros.
+
+*/
+//]  [/bessel_zero_example_1]
+
+//[bessel_zero_example_iterator_1]
+/*`We use the `cyl_bessel_j_zero` output iterator parameter `out_it`
+to create a sum of 1/zeros[super 2] by defining a custom output iterator:
+*/
+
+template <class T>
+struct output_summation_iterator
+{
+   output_summation_iterator(T* p) : p_sum(p)
+   {}
+   output_summation_iterator& operator*()
+   { return *this; }
+    output_summation_iterator& operator++()
+   { return *this; }
+   output_summation_iterator& operator++(int)
+   { return *this; }
+   output_summation_iterator& operator = (T const& val)
+   {
+     *p_sum += 1./ (val * val); // Summing 1/zero^2.
+     return *this;
+   }
+private:
+   T* p_sum;
+};
+
+
+//] [/bessel_zero_example_iterator_1]
+
+int main()
+{
+  try
+  {
+//[bessel_zero_example_2]
+
+/*`[tip It is always wise to place code using Boost.Math inside try'n'catch blocks;
+this will ensure that helpful error messages can be shown when exceptional conditions arise.]
+
+First, evaluate a single Bessel zero.
+
+The precision is controlled by the float-point type of template parameter `T` of `v`
+so this example has `double` precision, at least 15 but up to 17 decimal digits (for the common 64-bit double).
+*/
+    double root = boost::math::cyl_bessel_j_zero(0.0, 1);
+    // Displaying with default precision of 6 decimal digits:
+    std::cout << "boost::math::cyl_bessel_j_zero(0.0, 1) " << root << std::endl; // 2.40483
+    // And with all the guaranteed (15) digits:
+    std::cout.precision(std::numeric_limits<double>::digits10);
+    std::cout << "boost::math::cyl_bessel_j_zero(0.0, 1) " << root << std::endl; // 2.40482555769577
+/*`But note that because the parameter `v` controls the precision of the result,
+`v` [*must be a floating-point type].
+So if you provide an integer type, say 0, rather than 0.0, then it will fail to compile thus:
+``
+    root = boost::math::cyl_bessel_j_zero(0, 1);
+``
+with this error message
+``
+  error C2338: Order must be a floating-point type.
+``
+
+Optionally, we can use a policy to ignore errors, C-style, returning some value
+perhaps infinity or NaN, or the best that can be done. (See __user_error_handling).
+
+To create a (possibly unwise!) policy that ignores all errors:
+*/
+
+  typedef boost::math::policies::policy
+    <
+      boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+      boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+      boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+      boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+    > ignore_all_policy;
+
+    double inf = std::numeric_limits<double>::infinity();
+    double nan = std::numeric_limits<double>::quiet_NaN();
+
+    std::cout << "boost::math::cyl_bessel_j_zero(-1.0, 0) " << std::endl;
+    double dodgy_root = boost::math::cyl_bessel_j_zero(-1.0, 0, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(-1.0, 1) " << dodgy_root << std::endl; // 1.#QNAN
+    double inf_root = boost::math::cyl_bessel_j_zero(inf, 1, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl; // 1.#QNAN
+    double nan_root = boost::math::cyl_bessel_j_zero(nan, 1, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << nan_root << std::endl; // 1.#QNAN
+
+/*`Another version of `cyl_bessel_j_zero` allows calculation of multiple zeros with one call,
+placing the results in a container, often `std::vector`.
+For example, generate five `double` roots of J[sub v] for integral order 2.
+
+showing the same results as column J[sub 2](x) in table 1 of
+[@ http://mathworld.wolfram.com/BesselFunctionZeros.html Wolfram Bessel Function Zeros].
+
+*/
+    unsigned int n_roots = 5U;
+    std::vector<double> roots;
+    boost::math::cyl_bessel_j_zero(2.0, 1, n_roots, std::back_inserter(roots));
+    std::copy(roots.begin(),
+              roots.end(),
+              std::ostream_iterator<double>(std::cout, "\n"));
+
+/*`Or generate 50 decimal digit roots of J[sub v] for non-integral order `v = 71/19`.
+
+We set the precision of the output stream and show trailing zeros to display a fixed 50 decimal digits.
+*/
+    std::cout.precision(std::numeric_limits<float_type>::digits10); // 50 decimal digits.
+    std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+    float_type x = float_type(71) / 19;
+    float_type r = boost::math::cyl_bessel_j_zero(x, 1); // 1st root.
+    std::cout << "x = " << x << ", r = " << r << std::endl;
+
+    r = boost::math::cyl_bessel_j_zero(x, 20U); // 20th root.
+    std::cout << "x = " << x << ", r = " << r << std::endl;
+
+    std::vector<float_type> zeros;
+    boost::math::cyl_bessel_j_zero(x, 1, 3, std::back_inserter(zeros));
+
+    std::cout << "cyl_bessel_j_zeros" << std::endl;
+    // Print the roots to the output stream.
+    std::copy(zeros.begin(), zeros.end(),
+              std::ostream_iterator<float_type>(std::cout, "\n"));
+
+/*`The Neumann function zeros are evaluated very similarly:
+*/
+    using boost::math::cyl_neumann_zero;
+
+    double zn = cyl_neumann_zero(2., 1);
+
+    std::cout << "cyl_neumann_zero(2., 1) = " << std::endl;
+    //double zn0 = zn;
+    //    std::cout << "zn0 = " << std::endl;
+    //    std::cout << zn0 << std::endl;
+    //
+    std::cout << zn << std::endl;
+    //  std::cout << cyl_neumann_zero(2., 1) << std::endl;
+
+    std::vector<float> nzeros(3); // Space for 3 zeros.
+    cyl_neumann_zero<float>(2.F, 1, nzeros.size(), nzeros.begin());
+
+    std::cout << "cyl_neumann_zero<float>(2.F, 1, " << std::endl;
+    // Print the zeros to the output stream.
+    std::copy(nzeros.begin(), nzeros.end(),
+              std::ostream_iterator<float>(std::cout, "\n"));
+
+    std::cout << cyl_neumann_zero(static_cast<float_type>(220)/100, 1) << std::endl;
+    // 3.6154383428745996706772556069431792744372398748422
+
+/*`Finally we show how the output iterator can be used to compute a sum of zeros.
+
+(See [@https://doi.org/10.1017/S2040618500034067 Ian N. Sneddon, Infinite Sums of Bessel Zeros],
+page 150 equation 40).
+*/
+//] [/bessel_zero_example_2]
+
+    {
+//[bessel_zero_example_iterator_2]
+/*`The sum is calculated for many values, converging on the analytical exact value of `1/8`.
+*/
+    using boost::math::cyl_bessel_j_zero;
+    double nu = 1.;
+    double sum = 0;
+    output_summation_iterator<double> it(&sum);  // sum of 1/zeros^2
+    cyl_bessel_j_zero(nu, 1, 10000, it);
+
+    double s = 1/(4 * (nu + 1)); // 0.125 = 1/8 is exact analytical solution.
+    std::cout << std::setprecision(6) << "nu = " << nu << ", sum = " << sum
+      << ", exact = " << s << std::endl;
+    // nu = 1.00000, sum = 0.124990, exact = 0.125000
+//] [/bessel_zero_example_iterator_2]
+    }
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+//[bessel_zero_example_iterator_3]
+
+/*`Examples below show effect of 'bad' arguments that throw a `domain_error` exception.
+*/
+  try
+  { // Try a negative rank m.
+    std::cout << "boost::math::cyl_bessel_j_zero(-1.F, -1) " << std::endl;
+    float dodgy_root = boost::math::cyl_bessel_j_zero(-1.F, -1);
+    std::cout << "boost::math::cyl_bessel_j_zero(-1.F, -1) " << dodgy_root << std::endl;
+    // Throw exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int):
+    // Order argument is -1, but must be >= 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Throw exception " << ex.what() << std::endl;
+  }
+
+/*`[note The type shown is the type [*after promotion],
+using __precision_policy and __promotion_policy, from `float` to `double` in this case.]
+
+In this example the promotion goes:
+
+# Arguments are `float` and `int`.
+# Treat `int` "as if" it were a `double`, so arguments are `float` and `double`.
+# Common type is `double` - so that's the precision we want (and the type that will be returned).
+# Evaluate internally as `long double` for full `double` precision.
+
+See full code for other examples that promote from `double` to `long double`.
+
+*/
+
+//] [/bessel_zero_example_iterator_3]
+    try
+  { // order v = inf
+     std::cout << "boost::math::cyl_bessel_j_zero(infF, 1) " << std::endl;
+     float infF = std::numeric_limits<float>::infinity();
+     float inf_root = boost::math::cyl_bessel_j_zero(infF, 1);
+      std::cout << "boost::math::cyl_bessel_j_zero(infF, 1) " << inf_root << std::endl;
+     //  boost::math::cyl_bessel_j_zero(-1.F, -1) 
+     //Thrown exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int):
+     // Requested the -1'th zero, but the rank must be positive !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+  try
+  { // order v = inf
+     double inf = std::numeric_limits<double>::infinity();
+     double inf_root = boost::math::cyl_bessel_j_zero(inf, 1);
+     std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
+     // Order argument is 1.#INF, but must be finite >= 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // order v = NaN
+     double nan = std::numeric_limits<double>::quiet_NaN();
+     double nan_root = boost::math::cyl_bessel_j_zero(nan, 1);
+     std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << nan_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, unsigned):
+     // Order argument is 1.#QNAN, but must be finite >= 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  {   // Try a negative m.
+    double dodgy_root = boost::math::cyl_bessel_j_zero(0.0, -1);
+    //  warning C4146: unary minus operator applied to unsigned type, result still unsigned.
+    std::cout << "boost::math::cyl_bessel_j_zero(0.0, -1) " << dodgy_root << std::endl;
+    //  boost::math::cyl_bessel_j_zero(0.0, -1) 6.74652e+009
+    // This *should* fail because m is unreasonably large.
+
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // m = inf
+     double inf = std::numeric_limits<double>::infinity();
+     double inf_root = boost::math::cyl_bessel_j_zero(0.0, inf);
+     // warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
+     std::cout << "boost::math::cyl_bessel_j_zero(0.0, inf) " << inf_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int):
+     // Requested the 0'th zero, but must be > 0 !
+
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+  try
+  { // m = NaN
+     std::cout << "boost::math::cyl_bessel_j_zero(0.0, nan) " << std::endl ;
+     double nan = std::numeric_limits<double>::quiet_NaN();
+     double nan_root = boost::math::cyl_bessel_j_zero(0.0, nan);
+     // warning C4244: 'argument' : conversion from 'double' to 'int', possible loss of data.
+     std::cout << nan_root << std::endl;
+     // Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int):
+     // Requested the 0'th zero, but must be > 0 !
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+ } // int main()
+
+/*
+Mathematica: Table[N[BesselJZero[71/19, n], 50], {n, 1, 20, 1}]
+
+7.2731751938316489503185694262290765588963196701623
+10.724858308883141732536172745851416647110749599085
+14.018504599452388106120459558042660282427471931581
+17.25249845917041718216248716654977734919590383861
+20.456678874044517595180234083894285885460502077814
+23.64363089714234522494551422714731959985405172504
+26.819671140255087745421311470965019261522390519297
+29.988343117423674742679141796661432043878868194142
+33.151796897690520871250862469973445265444791966114
+36.3114160002162074157243540350393860813165201842
+39.468132467505236587945197808083337887765967032029
+42.622597801391236474855034831297954018844433480227
+45.775281464536847753390206207806726581495950012439
+48.926530489173566198367766817478553992471739894799
+52.076607045343002794279746041878924876873478063472
+55.225712944912571393594224327817265689059002890192
+58.374006101538886436775188150439025201735151418932
+61.521611873000965273726742659353136266390944103571
+64.66863105379093036834648221487366079456596628716
+67.815145619696290925556791375555951165111460585458
+
+Mathematica: Table[N[BesselKZero[2, n], 50], {n, 1, 5, 1}]
+n |
+1 | 3.3842417671495934727014260185379031127323883259329
+2 | 6.7938075132682675382911671098369487124493222183854
+3 | 10.023477979360037978505391792081418280789658279097
+
+
+*/
+
+ /*
+[bessel_zero_output]
+
+  boost::math::cyl_bessel_j_zero(0.0, 1) 2.40483
+  boost::math::cyl_bessel_j_zero(0.0, 1) 2.40482555769577
+  boost::math::cyl_bessel_j_zero(-1.0, 1) 1.#QNAN
+  boost::math::cyl_bessel_j_zero(inf, 1) 1.#QNAN
+  boost::math::cyl_bessel_j_zero(nan, 1) 1.#QNAN
+  5.13562230184068
+  8.41724414039986
+  11.6198411721491
+  14.7959517823513
+  17.9598194949878
+
+  x = 3.7368421052631578947368421052631578947368421052632, r = 7.2731751938316489503185694262290765588963196701623
+  x = 3.7368421052631578947368421052631578947368421052632, r = 67.815145619696290925556791375555951165111460585458
+  7.2731751938316489503185694262290765588963196701623
+  10.724858308883141732536172745851416647110749599085
+  14.018504599452388106120459558042660282427471931581
+  cyl_neumann_zero(2., 1) = 3.3842417671495935000000000000000000000000000000000
+  3.3842418193817139000000000000000000000000000000000
+  6.7938075065612793000000000000000000000000000000000
+  10.023477554321289000000000000000000000000000000000
+  3.6154383428745996706772556069431792744372398748422
+  nu = 1.00000, sum = 0.124990, exact = 0.125000
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Order argument is -1, but must be >= 0 !
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#INF, but must be finite >= 0 !
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Order argument is 1.#QNAN, but must be finite >= 0 !
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the -1'th zero, but must be > 0 !
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the -2147483648'th zero, but must be > 0 !
+  Throw exception Error in function boost::math::cyl_bessel_j_zero<long double>(long double, int): Requested the -2147483648'th zero, but must be > 0 !
+
+
+] [/bessel_zero_output]
+*/
+
diff --git a/src/boost/libs/math/example/bessel_zeros_example_1.cpp b/src/boost/libs/math/example/bessel_zeros_example_1.cpp
new file mode 100644
index 00000000..59172cd0
--- /dev/null
+++ b/src/boost/libs/math/example/bessel_zeros_example_1.cpp
@@ -0,0 +1,213 @@
+
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// Test values can be calculated using [@wolframalpha.com WolframAplha]
+// See also http://dlmf.nist.gov/10.21
+
+//[bessel_zeros_example_1
+
+/*`This example demonstrates calculating zeros of the Bessel and Neumann functions.
+It also shows how Boost.Math and Boost.Multiprecision can be combined to provide
+a many decimal digit precision. For 50 decimal digit precision we need to include
+*/
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+/*`and a `typedef` for `float_type` may be convenient
+(allowing a quick switch to re-compute at built-in `double` or other precision)
+*/
+  typedef boost::multiprecision::cpp_dec_float_50 float_type;
+
+//`To use the functions for finding zeros of the functions we need
+
+  #include <boost/math/special_functions/bessel.hpp>
+
+//`This file includes the forward declaration signatures for the zero-finding functions:
+
+//  #include <boost/math/special_functions/math_fwd.hpp>
+
+/*`but more details are in the full documentation, for example at
+[@http://www.boost.org/doc/libs/1_53_0/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html Boost.Math Bessel functions].
+*/
+
+/*`This example shows obtaining both a single zero of the Bessel function,
+and then placing multiple zeros into a container like `std::vector` by providing an iterator.
+*/
+//] [/bessel_zeros_example_1]
+
+/*The signature of the single value function is:
+
+  template <class T>
+  inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type
+    cyl_bessel_j_zero(
+           T v,      // Floating-point value for Jv.
+           int m);   // start index.
+
+The result type is controlled by the floating-point type of parameter `v`
+(but subject to the usual __precision_policy and __promotion_policy).
+
+The signature of multiple zeros function is:
+
+  template <class T, class OutputIterator>
+  inline OutputIterator cyl_bessel_j_zero(
+                                T v,                      // Floating-point value for Jv.
+                                int start_index,          // 1-based start index.
+                                unsigned number_of_zeros, // How many zeros to generate
+                                OutputIterator out_it);   // Destination for zeros.
+
+There is also a version which allows control of the __policy_section for error handling and precision.
+
+  template <class T, class OutputIterator, class Policy>
+  inline OutputIterator cyl_bessel_j_zero(
+                                T v,                      // Floating-point value for Jv.
+                                int start_index,          // 1-based start index.
+                                unsigned number_of_zeros, // How many zeros to generate
+                                OutputIterator out_it,    // Destination for zeros.
+                                const Policy& pol);       // Policy to use.
+*/
+
+int main()
+{
+  try
+  {
+//[bessel_zeros_example_2
+
+/*`[tip It is always wise to place code using Boost.Math inside try'n'catch blocks;
+this will ensure that helpful error messages are shown when exceptional conditions arise.]
+
+First, evaluate a single Bessel zero.
+
+The precision is controlled by the float-point type of template parameter `T` of `v`
+so this example has `double` precision, at least 15 but up to 17 decimal digits (for the common 64-bit double).
+*/
+//    double root = boost::math::cyl_bessel_j_zero(0.0, 1);
+//    // Displaying with default precision of 6 decimal digits:
+//    std::cout << "boost::math::cyl_bessel_j_zero(0.0, 1) " << root << std::endl; // 2.40483
+//    // And with all the guaranteed (15) digits:
+//    std::cout.precision(std::numeric_limits<double>::digits10);
+//    std::cout << "boost::math::cyl_bessel_j_zero(0.0, 1) " << root << std::endl; // 2.40482555769577
+/*`But note that because the parameter `v` controls the precision of the result,
+`v` [*must be a floating-point type].
+So if you provide an integer type, say 0, rather than 0.0, then it will fail to compile thus:
+``
+    root = boost::math::cyl_bessel_j_zero(0, 1);
+``
+with this error message
+``
+  error C2338: Order must be a floating-point type.
+``
+
+Optionally, we can use a policy to ignore errors, C-style, returning some value,
+perhaps infinity or NaN, or the best that can be done. (See __user_error_handling).
+
+To create a (possibly unwise!) policy `ignore_all_policy` that ignores all errors:
+*/
+
+  typedef boost::math::policies::policy<
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+              > ignore_all_policy;
+ //`Examples of use of this `ignore_all_policy` are
+
+    double inf = std::numeric_limits<double>::infinity();
+    double nan = std::numeric_limits<double>::quiet_NaN();
+
+    double dodgy_root = boost::math::cyl_bessel_j_zero(-1.0, 1, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(-1.0, 1) " << dodgy_root << std::endl; // 1.#QNAN
+    double inf_root = boost::math::cyl_bessel_j_zero(inf, 1, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl; // 1.#QNAN
+    double nan_root = boost::math::cyl_bessel_j_zero(nan, 1, ignore_all_policy());
+    std::cout << "boost::math::cyl_bessel_j_zero(nan, 1) " << nan_root << std::endl; // 1.#QNAN
+
+/*`Another version of `cyl_bessel_j_zero`  allows calculation of multiple zeros with one call,
+placing the results in a container, often `std::vector`.
+For example, generate and display the first five `double` roots of J[sub v] for integral order 2,
+as column ['J[sub 2](x)] in table 1 of
+[@ http://mathworld.wolfram.com/BesselFunctionZeros.html Wolfram Bessel Function Zeros].
+*/
+    unsigned int n_roots = 5U;
+    std::vector<double> roots;
+    boost::math::cyl_bessel_j_zero(2.0, 1, n_roots, std::back_inserter(roots));
+    std::copy(roots.begin(),
+              roots.end(),
+              std::ostream_iterator<double>(std::cout, "\n"));
+
+/*`Or we can use Boost.Multiprecision to generate 50 decimal digit roots of ['J[sub v]]
+for non-integral order `v= 71/19 == 3.736842`, expressed as an exact-integer fraction
+to generate the most accurate value possible for all floating-point types.
+
+We set the precision of the output stream, and show trailing zeros to display a fixed 50 decimal digits.
+*/
+    std::cout.precision(std::numeric_limits<float_type>::digits10); // 50 decimal digits.
+    std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+    float_type x = float_type(71) / 19;
+    float_type r = boost::math::cyl_bessel_j_zero(x, 1); // 1st root.
+    std::cout << "x = " << x << ", r = " << r << std::endl;
+
+    r = boost::math::cyl_bessel_j_zero(x, 20U); // 20th root.
+    std::cout << "x = " << x << ", r = " << r << std::endl;
+
+    std::vector<float_type> zeros;
+    boost::math::cyl_bessel_j_zero(x, 1, 3, std::back_inserter(zeros));
+
+    std::cout << "cyl_bessel_j_zeros" << std::endl;
+    // Print the roots to the output stream.
+    std::copy(zeros.begin(), zeros.end(),
+              std::ostream_iterator<float_type>(std::cout, "\n"));
+//] [/bessel_zeros_example_2]
+  }
+  catch (std::exception const& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+ } // int main()
+
+ /*
+
+ Output:
+
+   Description: Autorun "J:\Cpp\big_number\Debug\bessel_zeros_example_1.exe"
+  boost::math::cyl_bessel_j_zero(-1.0, 1) 3.83171
+  boost::math::cyl_bessel_j_zero(inf, 1) 1.#QNAN
+  boost::math::cyl_bessel_j_zero(nan, 1) 1.#QNAN
+  5.13562
+  8.41724
+  11.6198
+  14.796
+  17.9598
+  
+  x = 3.7368421052631578947368421052631578947368421052632, r = 7.2731751938316489503185694262290765588963196701623
+  x = 3.7368421052631578947368421052631578947368421052632, r = 67.815145619696290925556791375555951165111460585458
+  cyl_bessel_j_zeros
+  7.2731751938316489503185694262290765588963196701623
+  10.724858308883141732536172745851416647110749599085
+  14.018504599452388106120459558042660282427471931581
+
+*/
+
diff --git a/src/boost/libs/math/example/bessel_zeros_interator_example.cpp b/src/boost/libs/math/example/bessel_zeros_interator_example.cpp
new file mode 100644
index 00000000..a92a2704
--- /dev/null
+++ b/src/boost/libs/math/example/bessel_zeros_interator_example.cpp
@@ -0,0 +1,88 @@
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+//[bessel_zeros_iterator_example_1
+
+/*`[h5 Using Output Iterator to sum zeros of Bessel Functions]
+
+This example demonstrates summing zeros of the Bessel functions.
+To use the functions for finding zeros of the functions we need
+ */
+
+#include <boost/math/special_functions/bessel.hpp>
+
+/*`We use the `cyl_bessel_j_zero` output iterator parameter `out_it`
+to create a sum of ['1/zeros[super 2]] by defining a custom output iterator:
+*/
+
+template <class T>
+struct output_summation_iterator
+{
+   output_summation_iterator(T* p) : p_sum(p)
+   {}
+   output_summation_iterator& operator*()
+   { return *this; }
+    output_summation_iterator& operator++()
+   { return *this; }
+   output_summation_iterator& operator++(int)
+   { return *this; }
+   output_summation_iterator& operator = (T const& val)
+   {
+     *p_sum += 1./ (val * val); // Summing 1/zero^2.
+     return *this;
+   }
+private:
+   T* p_sum;
+};
+
+//] [/bessel_zeros_iterator_example_1]
+
+int main()
+{
+  try
+  {
+//[bessel_zeros_iterator_example_2
+
+/*`The sum is calculated for many values, converging on the analytical exact value of `1/8`.
+*/
+    using boost::math::cyl_bessel_j_zero;
+    double nu = 1.;
+    double sum = 0;
+    output_summation_iterator<double> it(&sum);  // sum of 1/zeros^2
+    cyl_bessel_j_zero(nu, 1, 10000, it);
+
+    double s = 1/(4 * (nu + 1)); // 0.125 = 1/8 is exact analytical solution.
+    std::cout << std::setprecision(6) << "nu = " << nu << ", sum = " << sum
+      << ", exact = " << s << std::endl;
+    // nu = 1.00000, sum = 0.124990, exact = 0.125000
+//] [/bessel_zeros_iterator_example_2]
+   }
+  catch (std::exception const& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+  return 0;
+  } // int_main()
+
+/*
+ Output:
+
+ nu = 1, sum = 0.12499, exact = 0.125
+*/
diff --git a/src/boost/libs/math/example/big_seventh.cpp b/src/boost/libs/math/example/big_seventh.cpp
new file mode 100644
index 00000000..58c55901
--- /dev/null
+++ b/src/boost/libs/math/example/big_seventh.cpp
@@ -0,0 +1,98 @@
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright Paul A. Bristow 2012.
+// Copyright Christopher Kormanyos 2012.
+
+// This file is written to be included from a Quickbook .qbk document.
+// It can be compiled by the C++ compiler, and run. Any output can
+// also be added here as comment or included or pasted in elsewhere.
+// Caution: this file contains Quickbook markup as well as code
+// and comments: don't change any of the special comment markups!
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996)
+#endif
+
+//[big_seventh_example_1
+
+/*`[h5 Using Boost.Multiprecision `cpp_float` for numerical calculations with high precision.]
+
+The Boost.Multiprecision library can be used for computations requiring precision
+exceeding that of standard built-in types such as float, double
+and long double. For extended-precision calculations, Boost.Multiprecision
+supplies a template data type called cpp_dec_float. The number of decimal
+digits of precision is fixed at compile-time via template parameter.
+
+To use these floating-point types and constants, we need some includes:
+
+*/
+
+#include <boost/math/constants/constants.hpp>
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+// using boost::multiprecision::cpp_dec_float
+
+#include <iostream>
+#include <limits>
+
+/*` So now we can demonstrate with some trivial calculations:
+*/
+
+//] //[big_seventh_example_1]
+
+int main()
+{
+
+//[big_seventh_example_2
+/*`Using `typedef cpp_dec_float_50` hides the complexity of multiprecision,
+allows us  to define variables with 50 decimal digit precision just like built-in `double`.
+*/
+  using boost::multiprecision::cpp_dec_float_50;
+
+  cpp_dec_float_50 seventh = cpp_dec_float_50(1) / 7;  // 1 / 7
+
+/*`By default, output would only show the standard 6 decimal digits,
+ so set precision to show all 50 significant digits, including any trailing zeros.
+*/
+  std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+  std::cout << std::showpoint << std::endl; // Append any trailing zeros.
+  std::cout << seventh << std::endl;
+/*`which outputs:
+
+  0.14285714285714285714285714285714285714285714285714
+
+We can also use Boost.Math __constants like [pi],
+guaranteed to be initialized with the very last bit of precision for the floating-point type.
+*/
+
+   std::cout << "pi = " << boost::math::constants::pi<cpp_dec_float_50>() << std::endl;
+   cpp_dec_float_50 circumference = boost::math::constants::pi<cpp_dec_float_50>() * 2 * seventh;
+   std::cout << "c =  "<< circumference << std::endl;
+
+/*`which outputs
+
+  pi = 3.1415926535897932384626433832795028841971693993751
+
+  c =  0.89759790102565521098932668093700082405633411410717
+*/
+//]  [/big_seventh_example_2]
+
+    return 0;
+} // int main()
+
+
+/*
+//[big_seventh_example_output
+
+0.14285714285714285714285714285714285714285714285714
+pi = 3.1415926535897932384626433832795028841971693993751
+c =  0.89759790102565521098932668093700082405633411410717
+
+//] //[big_seventh_example_output]
+
+*/
+
diff --git a/src/boost/libs/math/example/binomial_coinflip_example.cpp b/src/boost/libs/math/example/binomial_coinflip_example.cpp
new file mode 100644
index 00000000..14940cb9
--- /dev/null
+++ b/src/boost/libs/math/example/binomial_coinflip_example.cpp
@@ -0,0 +1,243 @@
+// Copyright Paul A. 2007, 2010
+// Copyright John Maddock 2006
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Simple example of computing probabilities and quantiles for
+// a Bernoulli random variable representing the flipping of a coin.
+
+// http://mathworld.wolfram.com/CoinTossing.html
+// http://en.wikipedia.org/wiki/Bernoulli_trial
+// Weisstein, Eric W. "Dice." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/Dice.html
+// http://en.wikipedia.org/wiki/Bernoulli_distribution
+// http://mathworld.wolfram.com/BernoulliDistribution.html
+//
+// An idealized coin consists of a circular disk of zero thickness which,
+// when thrown in the air and allowed to fall, will rest with either side face up
+// ("heads" H or "tails" T) with equal probability. A coin is therefore a two-sided die.
+// Despite slight differences between the sides and nonzero thickness of actual coins,
+// the distribution of their tosses makes a good approximation to a p==1/2 Bernoulli distribution.
+
+//[binomial_coinflip_example1
+
+/*`An example of a [@http://en.wikipedia.org/wiki/Bernoulli_process Bernoulli process]
+is coin flipping.
+A variable in such a sequence may be called a Bernoulli variable.
+
+This example shows using the Binomial distribution to predict the probability
+of heads and tails when throwing a coin.
+
+The number of correct answers (say heads),
+X, is distributed as a binomial random variable
+with binomial distribution parameters number of trials (flips) n = 10 and probability (success_fraction) of getting a head p = 0.5 (a 'fair' coin).
+
+(Our coin is assumed fair, but we could easily change the success_fraction parameter p
+from 0.5 to some other value to simulate an unfair coin,
+say 0.6 for one with chewing gum on the tail,
+so it is more likely to fall tails down and heads up).
+
+First we need some includes and using statements to be able to use the binomial distribution, some std input and output, and get started:
+*/
+
+#include <boost/math/distributions/binomial.hpp>
+  using boost::math::binomial;
+
+#include <iostream>
+  using std::cout;  using std::endl;  using std::left;
+#include <iomanip>
+  using std::setw;
+
+int main()
+{
+  cout << "Using Binomial distribution to predict how many heads and tails." << endl;
+  try
+  {
+/*`
+See note [link coinflip_eg_catch with the catch block]
+about why a try and catch block is always a good idea.
+
+First, construct a binomial distribution with parameters success_fraction
+1/2, and how many flips.
+*/
+    const double success_fraction = 0.5; // = 50% = 1/2 for a 'fair' coin.
+    int flips = 10;
+    binomial flip(flips, success_fraction);
+
+    cout.precision(4);
+/*`
+ Then some examples of using Binomial moments (and echoing the parameters).
+*/
+    cout << "From " << flips << " one can expect to get on average "
+      << mean(flip) << " heads (or tails)." << endl;
+    cout << "Mode is " << mode(flip) << endl;
+    cout << "Standard deviation is " << standard_deviation(flip) << endl;
+    cout << "So about 2/3 will lie within 1 standard deviation and get between "
+      <<  ceil(mean(flip) - standard_deviation(flip))  << " and "
+      << floor(mean(flip) + standard_deviation(flip)) << " correct." << endl;
+    cout << "Skewness is " << skewness(flip) << endl;
+    // Skewness of binomial distributions is only zero (symmetrical)
+    // if success_fraction is exactly one half,
+    // for example, when flipping 'fair' coins.
+    cout << "Skewness if success_fraction is " << flip.success_fraction()
+      << " is " << skewness(flip) << endl << endl; // Expect zero for a 'fair' coin.
+/*`
+Now we show a variety of predictions on the probability of heads:
+*/
+    cout << "For " << flip.trials() << " coin flips: " << endl;
+    cout << "Probability of getting no heads is " << pdf(flip, 0) << endl;
+    cout << "Probability of getting at least one head is " << 1. - pdf(flip, 0) << endl;
+/*`
+When we want to calculate the probability for a range or values we can sum the PDF's:
+*/
+    cout << "Probability of getting 0 or 1 heads is "
+      << pdf(flip, 0) + pdf(flip, 1) << endl; // sum of exactly == probabilities
+/*`
+Or we can use the cdf.
+*/
+    cout << "Probability of getting 0 or 1 (<= 1) heads is " << cdf(flip, 1) << endl;
+    cout << "Probability of getting 9 or 10 heads is " << pdf(flip, 9) + pdf(flip, 10) << endl;
+/*`
+Note that using
+*/
+    cout << "Probability of getting 9 or 10 heads is " << 1. - cdf(flip, 8) << endl;
+/*`
+is less accurate than using the complement
+*/
+    cout << "Probability of getting 9 or 10 heads is " << cdf(complement(flip, 8)) << endl;
+/*`
+Since the subtraction may involve
+[@http://docs.sun.com/source/806-3568/ncg_goldberg.html cancellation error],
+where as `cdf(complement(flip, 8))`
+does not use such a subtraction internally, and so does not exhibit the problem.
+
+To get the probability for a range of heads, we can either add the pdfs for each number of heads
+*/
+    cout << "Probability of between 4 and 6 heads (4 or 5 or 6) is "
+      //  P(X == 4) + P(X == 5) + P(X == 6)
+      << pdf(flip, 4) + pdf(flip, 5) + pdf(flip, 6) << endl;
+/*`
+But this is probably less efficient than using the cdf
+*/
+    cout << "Probability of between 4 and 6 heads (4 or 5 or 6) is "
+      // P(X <= 6) - P(X <= 3) == P(X < 4)
+      << cdf(flip, 6) - cdf(flip, 3) << endl;
+/*`
+Certainly for a bigger range like, 3 to 7
+*/
+    cout << "Probability of between 3 and 7 heads (3, 4, 5, 6 or 7) is "
+      // P(X <= 7) - P(X <= 2) == P(X < 3)
+      << cdf(flip, 7) - cdf(flip, 2) << endl;
+    cout << endl;
+
+/*`
+Finally, print two tables of probability for the /exactly/ and /at least/ a number of heads.
+*/
+    // Print a table of probability for the exactly a number of heads.
+    cout << "Probability of getting exactly (==) heads" << endl;
+    for (int successes = 0; successes <= flips; successes++)
+    { // Say success means getting a head (or equally success means getting a tail).
+      double probability = pdf(flip, successes);
+      cout << left << setw(2) << successes << "     " << setw(10)
+        << probability << " or 1 in " << 1. / probability
+        << ", or " << probability * 100. << "%" << endl;
+    } // for i
+    cout << endl;
+
+    // Tabulate the probability of getting between zero heads and 0 upto 10 heads.
+    cout << "Probability of getting upto (<=) heads" << endl;
+    for (int successes = 0; successes <= flips; successes++)
+    { // Say success means getting a head
+      // (equally success could mean getting a tail).
+      double probability = cdf(flip, successes); // P(X <= heads)
+      cout << setw(2) << successes << "        " << setw(10) << left
+        << probability << " or 1 in " << 1. / probability << ", or "
+        << probability * 100. << "%"<< endl;
+    } // for i
+/*`
+The last (0 to 10 heads) must, of course, be 100% probability.
+*/
+    double probability = 0.3;
+    double q = quantile(flip, probability);
+    std::cout << "Quantile (flip, " << probability << ") = " << q << std::endl; // Quantile (flip, 0.3) = 3
+    probability = 0.6;
+    q = quantile(flip, probability);
+    std::cout << "Quantile (flip, " << probability << ") = " << q << std::endl; // Quantile (flip, 0.6) = 5
+  }
+  catch(const std::exception& e)
+  {
+    //
+    /*`
+    [#coinflip_eg_catch]
+    It is always essential to include try & catch blocks because
+    default policies are to throw exceptions on arguments that
+    are out of domain or cause errors like numeric-overflow.
+
+    Lacking try & catch blocks, the program will abort, whereas the
+    message below from the thrown exception will give some helpful
+    clues as to the cause of the problem.
+    */
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+//] [binomial_coinflip_example1]
+  return 0;
+} // int main()
+
+// Output:
+
+//[binomial_coinflip_example_output
+/*`
+
+[pre
+Using Binomial distribution to predict how many heads and tails.
+From 10 one can expect to get on average 5 heads (or tails).
+Mode is 5
+Standard deviation is 1.581
+So about 2/3 will lie within 1 standard deviation and get between 4 and 6 correct.
+Skewness is 0
+Skewness if success_fraction is 0.5 is 0
+
+For 10 coin flips:
+Probability of getting no heads is 0.0009766
+Probability of getting at least one head is 0.999
+Probability of getting 0 or 1 heads is 0.01074
+Probability of getting 0 or 1 (<= 1) heads is 0.01074
+Probability of getting 9 or 10 heads is 0.01074
+Probability of getting 9 or 10 heads is 0.01074
+Probability of getting 9 or 10 heads is 0.01074
+Probability of between 4 and 6 heads (4 or 5 or 6) is 0.6562
+Probability of between 4 and 6 heads (4 or 5 or 6) is 0.6563
+Probability of between 3 and 7 heads (3, 4, 5, 6 or 7) is 0.8906
+
+Probability of getting exactly (==) heads
+0      0.0009766  or 1 in 1024, or 0.09766%
+1      0.009766   or 1 in 102.4, or 0.9766%
+2      0.04395    or 1 in 22.76, or 4.395%
+3      0.1172     or 1 in 8.533, or 11.72%
+4      0.2051     or 1 in 4.876, or 20.51%
+5      0.2461     or 1 in 4.063, or 24.61%
+6      0.2051     or 1 in 4.876, or 20.51%
+7      0.1172     or 1 in 8.533, or 11.72%
+8      0.04395    or 1 in 22.76, or 4.395%
+9      0.009766   or 1 in 102.4, or 0.9766%
+10     0.0009766  or 1 in 1024, or 0.09766%
+
+Probability of getting upto (<=) heads
+0         0.0009766  or 1 in 1024, or 0.09766%
+1         0.01074    or 1 in 93.09, or 1.074%
+2         0.05469    or 1 in 18.29, or 5.469%
+3         0.1719     or 1 in 5.818, or 17.19%
+4         0.377      or 1 in 2.653, or 37.7%
+5         0.623      or 1 in 1.605, or 62.3%
+6         0.8281     or 1 in 1.208, or 82.81%
+7         0.9453     or 1 in 1.058, or 94.53%
+8         0.9893     or 1 in 1.011, or 98.93%
+9         0.999      or 1 in 1.001, or 99.9%
+10        1          or 1 in 1, or 100%
+]
+*/
+//][/binomial_coinflip_example_output]
diff --git a/src/boost/libs/math/example/binomial_confidence_limits.cpp b/src/boost/libs/math/example/binomial_confidence_limits.cpp
new file mode 100644
index 00000000..56ab48c3
--- /dev/null
+++ b/src/boost/libs/math/example/binomial_confidence_limits.cpp
@@ -0,0 +1,165 @@
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4512) // assignment operator could not be generated.
+#  pragma warning(disable: 4510) // default constructor could not be generated.
+#  pragma warning(disable: 4610) // can never be instantiated - user defined constructor required.
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <iomanip>
+using std::fixed; using std::left; using std::right; using std::right; using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/binomial.hpp>
+
+void confidence_limits_on_frequency(unsigned trials, unsigned successes)
+{
+   //
+   // trials = Total number of trials.
+   // successes = Total number of observed successes.
+   //
+   // Calculate confidence limits for an observed
+   // frequency of occurrence that follows a binomial distribution.
+   //
+   //using namespace std; // Avoid
+   // using namespace boost::math; // potential name ambiguity with std <random>
+   using boost::math::binomial_distribution;
+
+   // Print out general info:
+   cout <<
+      "___________________________________________\n"
+      "2-Sided Confidence Limits For Success Ratio\n"
+      "___________________________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Number of Observations" << "=  " << trials << "\n";
+   cout << setw(40) << left << "Number of successes" << "=  " << successes << "\n";
+   cout << setw(40) << left << "Sample frequency of occurrence" << "=  " << double(successes) / trials << "\n";
+   //
+   // Define a table of significance levels:
+   //
+   double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "_______________________________________________________________________\n"
+           "Confidence        Lower CP       Upper CP       Lower JP       Upper JP\n"
+           " Value (%)        Limit          Limit          Limit          Limit\n"
+           "_______________________________________________________________________\n";
+   //
+   // Now print out the data for the table rows.
+   //
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // Calculate Clopper Pearson bounds:
+      double l = binomial_distribution<>::find_lower_bound_on_p(trials, successes, alpha[i]/2);
+      double u = binomial_distribution<>::find_upper_bound_on_p(trials, successes, alpha[i]/2);
+      // Print Clopper Pearson Limits:
+      cout << fixed << setprecision(5) << setw(15) << right << l;
+      cout << fixed << setprecision(5) << setw(15) << right << u;
+      // Calculate Jeffreys Prior Bounds:
+      l = binomial_distribution<>::find_lower_bound_on_p(trials, successes, alpha[i]/2, binomial_distribution<>::jeffreys_prior_interval);
+      u = binomial_distribution<>::find_upper_bound_on_p(trials, successes, alpha[i]/2, binomial_distribution<>::jeffreys_prior_interval);
+      // Print Jeffreys Prior Limits:
+      cout << fixed << setprecision(5) << setw(15) << right << l;
+      cout << fixed << setprecision(5) << setw(15) << right << u << std::endl;
+   }
+   cout << endl;
+} // void confidence_limits_on_frequency()
+
+int main()
+{
+   confidence_limits_on_frequency(20, 4);
+   confidence_limits_on_frequency(200, 40);
+   confidence_limits_on_frequency(2000, 400);
+
+   return 0;
+} // int main()
+
+/*
+
+------ Build started: Project: binomial_confidence_limits, Configuration: Debug Win32 ------
+Compiling...
+binomial_confidence_limits.cpp
+Linking...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\binomial_confidence_limits.exe"
+___________________________________________
+2-Sided Confidence Limits For Success Ratio
+___________________________________________
+
+Number of Observations                  =  20
+Number of successes                     =  4
+Sample frequency of occurrence          =  0.2
+
+
+_______________________________________________________________________
+Confidence        Lower CP       Upper CP       Lower JP       Upper JP
+ Value (%)        Limit          Limit          Limit          Limit
+_______________________________________________________________________
+    50.000        0.12840        0.29588        0.14974        0.26916
+    75.000        0.09775        0.34633        0.11653        0.31861
+    90.000        0.07135        0.40103        0.08734        0.37274
+    95.000        0.05733        0.43661        0.07152        0.40823
+    99.000        0.03576        0.50661        0.04655        0.47859
+    99.900        0.01905        0.58632        0.02634        0.55960
+    99.990        0.01042        0.64997        0.01530        0.62495
+    99.999        0.00577        0.70216        0.00901        0.67897
+
+___________________________________________
+2-Sided Confidence Limits For Success Ratio
+___________________________________________
+
+Number of Observations                  =  200
+Number of successes                     =  40
+Sample frequency of occurrence          =  0.2000000
+
+
+_______________________________________________________________________
+Confidence        Lower CP       Upper CP       Lower JP       Upper JP
+ Value (%)        Limit          Limit          Limit          Limit
+_______________________________________________________________________
+    50.000        0.17949        0.22259        0.18190        0.22001
+    75.000        0.16701        0.23693        0.16934        0.23429
+    90.000        0.15455        0.25225        0.15681        0.24956
+    95.000        0.14689        0.26223        0.14910        0.25951
+    99.000        0.13257        0.28218        0.13468        0.27940
+    99.900        0.11703        0.30601        0.11902        0.30318
+    99.990        0.10489        0.32652        0.10677        0.32366
+    99.999        0.09492        0.34485        0.09670        0.34197
+
+___________________________________________
+2-Sided Confidence Limits For Success Ratio
+___________________________________________
+
+Number of Observations                  =  2000
+Number of successes                     =  400
+Sample frequency of occurrence          =  0.2000000
+
+
+_______________________________________________________________________
+Confidence        Lower CP       Upper CP       Lower JP       Upper JP
+ Value (%)        Limit          Limit          Limit          Limit
+_______________________________________________________________________
+    50.000        0.19382        0.20638        0.19406        0.20613
+    75.000        0.18965        0.21072        0.18990        0.21047
+    90.000        0.18537        0.21528        0.18561        0.21503
+    95.000        0.18267        0.21821        0.18291        0.21796
+    99.000        0.17745        0.22400        0.17769        0.22374
+    99.900        0.17150        0.23079        0.17173        0.23053
+    99.990        0.16658        0.23657        0.16681        0.23631
+    99.999        0.16233        0.24169        0.16256        0.24143
+
+*/
+
+
+
diff --git a/src/boost/libs/math/example/binomial_example_nag.cpp b/src/boost/libs/math/example/binomial_example_nag.cpp
new file mode 100644
index 00000000..c1d7ee35
--- /dev/null
+++ b/src/boost/libs/math/example/binomial_example_nag.cpp
@@ -0,0 +1,91 @@
+// Copyright Paul A. 2007, 2010
+// Copyright John Maddock 2007
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Simple example of computing probabilities for a binomial random variable.
+// Replication of source nag_binomial_dist (g01bjc).
+
+// Shows how to replace NAG C library calls by Boost Math Toolkit C++ calls.
+// Note that the default policy does not replicate the way that NAG
+// library calls handle 'bad' arguments, but you can define policies that do,
+// as well as other policies that may suit your application even better.
+// See the examples of changing default policies for details.
+
+#include <boost/math/distributions/binomial.hpp>
+
+#include <iostream>
+  using std::cout; using std::endl; using std::ios; using std::showpoint;
+#include <iomanip>
+  using std::fixed; using std::setw;
+
+int main()
+{
+  cout << "Using the binomial distribution to replicate a NAG library call." << endl;
+  using boost::math::binomial_distribution;
+
+  // This replicates the computation of the examples of using nag-binomial_dist
+  // using g01bjc in section g01 Somple Calculations on Statistical Data.
+  // http://www.nag.co.uk/numeric/cl/manual/pdf/G01/g01bjc.pdf
+  // Program results section 8.3 page 3.g01bjc.3
+    //8.2. Program Data
+    //g01bjc Example Program Data
+    //4 0.50 2 : n, p, k
+    //19 0.44 13
+    //100 0.75 67
+    //2000 0.33 700
+    //8.3. Program Results
+    //g01bjc Example Program Results
+    //n p k plek pgtk peqk
+    //4 0.500 2 0.68750 0.31250 0.37500
+    //19 0.440 13 0.99138 0.00862 0.01939
+    //100 0.750 67 0.04460 0.95540 0.01700
+    //2000 0.330 700 0.97251 0.02749 0.00312
+
+  cout.setf(ios::showpoint); // Trailing zeros to show significant decimal digits.
+  cout.precision(5); // Might calculate this from trials in distribution?
+  cout << fixed;
+  //  Binomial distribution.
+
+  // Note  that  cdf(dist, k) is equivalent to NAG library plek probability of <= k
+  // cdf(complement(dist, k)) is equivalent to NAG library pgtk probability of > k
+  //             pdf(dist, k) is equivalent to NAG library peqk probability of == k
+
+  cout << " n        p     k     plek     pgtk     peqk " << endl;
+  binomial_distribution<>my_dist(4, 0.5);
+  cout << setw(4) << (int)my_dist.trials() << "  " << my_dist.success_fraction()
+  << "   " << 2 << "  " << cdf(my_dist, 2) << "  "
+  << cdf(complement(my_dist, 2)) << "  " << pdf(my_dist, 2) << endl;
+
+  binomial_distribution<>two(19, 0.440);
+  cout << setw(4) << (int)two.trials() <<  "  "  << two.success_fraction()
+    << "  " << 13 << "  " << cdf(two, 13) << "  "
+    << cdf(complement(two, 13)) << "  " << pdf(two, 13) << endl;
+
+  binomial_distribution<>three(100, 0.750);
+  cout << setw(4) << (int)three.trials() << "  " << three.success_fraction()
+    << "  " << 67 << "  " << cdf(three, 67) << "  " << cdf(complement(three, 67))
+    << "  " << pdf(three, 67) << endl;
+  binomial_distribution<>four(2000, 0.330);
+  cout << setw(4) << (int)four.trials() <<  "  "  << four.success_fraction()
+  << " " << 700 << "  "
+    << cdf(four, 700) << "  " << cdf(complement(four, 700))
+    << "  " << pdf(four, 700) << endl;
+
+  return 0;
+} // int main()
+
+/*
+
+Example of using the binomial distribution to replicate a NAG library call.
+ n        p     k     plek     pgtk     peqk
+   4  0.50000   2  0.68750  0.31250  0.37500
+  19  0.44000  13  0.99138  0.00862  0.01939
+ 100  0.75000  67  0.04460  0.95540  0.01700
+2000  0.33000 700  0.97251  0.02749  0.00312
+
+
+ */
+
diff --git a/src/boost/libs/math/example/binomial_quiz_example.cpp b/src/boost/libs/math/example/binomial_quiz_example.cpp
new file mode 100644
index 00000000..acf06e2d
--- /dev/null
+++ b/src/boost/libs/math/example/binomial_quiz_example.cpp
@@ -0,0 +1,525 @@
+// Copyright Paul A. Bristow 2007, 2009, 2010
+// Copyright John Maddock 2006
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// binomial_examples_quiz.cpp
+
+// Simple example of computing probabilities and quantiles for a binomial random variable
+// representing the correct guesses on a multiple-choice test.
+
+// source http://www.stat.wvu.edu/SRS/Modules/Binomial/test.html
+
+//[binomial_quiz_example1
+/*`
+A multiple choice test has four possible answers to each of 16 questions.
+A student guesses the answer to each question,
+so the probability of getting a correct answer on any given question is
+one in four, a quarter, 1/4, 25% or fraction 0.25.
+The conditions of the binomial experiment are assumed to be met:
+n = 16 questions constitute the trials;
+each question results in one of two possible outcomes (correct or incorrect);
+the probability of being correct is 0.25 and is constant if no knowledge about the subject is assumed;
+the questions are answered independently if the student's answer to a question
+in no way influences his/her answer to another question.
+
+First, we need to be able to use the binomial distribution constructor
+(and some std input/output, of course).
+*/
+
+#include <boost/math/distributions/binomial.hpp>
+  using boost::math::binomial;
+
+#include <iostream>
+  using std::cout; using std::endl;
+  using std::ios; using std::flush; using std::left; using std::right; using std::fixed;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <exception>
+  
+
+
+//][/binomial_quiz_example1]
+
+int main()
+{
+  try
+  {
+  cout << "Binomial distribution example - guessing in a quiz." << endl;
+//[binomial_quiz_example2
+/*`
+The number of correct answers, X, is distributed as a binomial random variable
+with binomial distribution parameters: questions n and success fraction probability p.
+So we construct a binomial distribution:
+*/
+  int questions = 16; // All the questions in the quiz.
+  int answers = 4; // Possible answers to each question.
+  double success_fraction = 1. / answers; // If a random guess, p = 1/4 = 0.25.
+  binomial quiz(questions, success_fraction);
+/*`
+and display the distribution parameters we used thus:
+*/
+  cout << "In a quiz with " << quiz.trials()
+    << " questions and with a probability of guessing right of "
+    << quiz.success_fraction() * 100 << " %"
+    << " or 1 in " << static_cast<int>(1. / quiz.success_fraction()) << endl;
+/*`
+Show a few probabilities of just guessing:
+*/
+  cout << "Probability of getting none right is " << pdf(quiz, 0) << endl; // 0.010023
+  cout << "Probability of getting exactly one right is " << pdf(quiz, 1) << endl;
+  cout << "Probability of getting exactly two right is " << pdf(quiz, 2) << endl;
+  int pass_score = 11;
+  cout << "Probability of getting exactly " << pass_score << " answers right by chance is "
+    << pdf(quiz, pass_score) << endl;
+  cout << "Probability of getting all " << questions << " answers right by chance is "
+    << pdf(quiz, questions) << endl;
+/*`
+[pre
+Probability of getting none right is 0.0100226
+Probability of getting exactly one right is 0.0534538
+Probability of getting exactly two right is 0.133635
+Probability of getting exactly 11 right is 0.000247132
+Probability of getting exactly all 16 answers right by chance is 2.32831e-010
+]
+These don't give any encouragement to guessers!
+
+We can tabulate the 'getting exactly right' ( == ) probabilities thus:
+*/
+  cout << "\n" "Guessed Probability" << right << endl;
+  for (int successes = 0; successes <= questions; successes++)
+  {
+    double probability = pdf(quiz, successes);
+    cout << setw(2) << successes << "      " << probability << endl;
+  }
+  cout << endl;
+/*`
+[pre
+Guessed Probability
+ 0      0.0100226
+ 1      0.0534538
+ 2      0.133635
+ 3      0.207876
+ 4      0.225199
+ 5      0.180159
+ 6      0.110097
+ 7      0.0524273
+ 8      0.0196602
+ 9      0.00582526
+10      0.00135923
+11      0.000247132
+12      3.43239e-005
+13      3.5204e-006
+14      2.51457e-007
+15      1.11759e-008
+16      2.32831e-010
+]
+Then we can add the probabilities of some 'exactly right' like this:
+*/
+  cout << "Probability of getting none or one right is " << pdf(quiz, 0) + pdf(quiz, 1) << endl;
+
+/*`
+[pre
+Probability of getting none or one right is 0.0634764
+]
+But if more than a couple of scores are involved, it is more convenient (and may be more accurate)
+to use the Cumulative Distribution Function (cdf) instead:
+*/
+  cout << "Probability of getting none or one right is " << cdf(quiz, 1) << endl;
+/*`
+[pre
+Probability of getting none or one right is 0.0634764
+]
+Since the cdf is inclusive, we can get the probability of getting up to 10 right ( <= )
+*/
+  cout << "Probability of getting <= 10 right (to fail) is " << cdf(quiz, 10) << endl;
+/*`
+[pre
+Probability of getting <= 10 right (to fail) is 0.999715
+]
+To get the probability of getting 11 or more right (to pass),
+it is tempting to use ``1 - cdf(quiz, 10)`` to get the probability of > 10
+*/
+  cout << "Probability of getting > 10 right (to pass) is " << 1 - cdf(quiz, 10) << endl;
+/*`
+[pre
+Probability of getting > 10 right (to pass) is 0.000285239
+]
+But this should be resisted in favor of using the __complements function (see __why_complements).
+*/
+  cout << "Probability of getting > 10 right (to pass) is " << cdf(complement(quiz, 10)) << endl;
+/*`
+[pre
+Probability of getting > 10 right (to pass) is 0.000285239
+]
+And we can check that these two, <= 10 and > 10,  add up to unity.
+*/
+BOOST_ASSERT((cdf(quiz, 10) + cdf(complement(quiz, 10))) == 1.);
+/*`
+If we want a < rather than a <= test, because the CDF is inclusive, we must subtract one from the score.
+*/
+  cout << "Probability of getting less than " << pass_score
+    << " (< " << pass_score << ") answers right by guessing is "
+    << cdf(quiz, pass_score -1) << endl;
+/*`
+[pre
+Probability of getting less than 11 (< 11) answers right by guessing is 0.999715
+]
+and similarly to get a >= rather than a > test
+we also need to subtract one from the score (and can again check the sum is unity).
+This is because if the cdf is /inclusive/,
+then its complement must be /exclusive/ otherwise there would be one possible
+outcome counted twice!
+*/
+  cout << "Probability of getting at least " << pass_score
+    << "(>= " << pass_score << ") answers right by guessing is "
+    << cdf(complement(quiz, pass_score-1))
+    << ", only 1 in " << 1/cdf(complement(quiz, pass_score-1)) << endl;
+
+  BOOST_ASSERT((cdf(quiz, pass_score -1) + cdf(complement(quiz, pass_score-1))) == 1);
+
+/*`
+[pre
+Probability of getting at least 11 (>= 11) answers right by guessing is 0.000285239, only 1 in 3505.83
+]
+Finally we can tabulate some probabilities:
+*/
+  cout << "\n" "At most (<=)""\n""Guessed OK   Probability" << right << endl;
+  for (int score = 0; score <= questions; score++)
+  {
+    cout << setw(2) << score << "           " << setprecision(10)
+      << cdf(quiz, score) << endl;
+  }
+  cout << endl;
+/*`
+[pre
+At most (<=)
+Guessed OK   Probability
+ 0           0.01002259576
+ 1           0.0634764398
+ 2           0.1971110499
+ 3           0.4049871101
+ 4           0.6301861752
+ 5           0.8103454274
+ 6           0.9204427481
+ 7           0.9728700437
+ 8           0.9925302796
+ 9           0.9983555346
+10           0.9997147608
+11           0.9999618928
+12           0.9999962167
+13           0.9999997371
+14           0.9999999886
+15           0.9999999998
+16           1
+]
+*/
+  cout << "\n" "At least (>)""\n""Guessed OK   Probability" << right << endl;
+  for (int score = 0; score <= questions; score++)
+  {
+    cout << setw(2) << score << "           "  << setprecision(10)
+      << cdf(complement(quiz, score)) << endl;
+  }
+/*`
+[pre
+At least (>)
+Guessed OK   Probability
+ 0           0.9899774042
+ 1           0.9365235602
+ 2           0.8028889501
+ 3           0.5950128899
+ 4           0.3698138248
+ 5           0.1896545726
+ 6           0.07955725188
+ 7           0.02712995629
+ 8           0.00746972044
+ 9           0.001644465374
+10           0.0002852391917
+11           3.810715862e-005
+12           3.783265129e-006
+13           2.628657967e-007
+14           1.140870154e-008
+15           2.328306437e-010
+16           0
+]
+We now consider the probabilities of *ranges* of correct guesses.
+
+First, calculate the probability of getting a range of guesses right,
+by adding the exact probabilities of each from low ... high.
+*/
+  int low = 3; // Getting at least 3 right.
+  int high = 5; // Getting as most 5 right.
+  double sum = 0.;
+  for (int i = low; i <= high; i++)
+  {
+    sum += pdf(quiz, i);
+  }
+  cout.precision(4);
+  cout << "Probability of getting between "
+    << low << " and " << high << " answers right by guessing is "
+    << sum  << endl; // 0.61323
+/*`
+[pre
+Probability of getting between 3 and 5 answers right by guessing is 0.6132
+]
+Or, usually better, we can use the difference of cdfs instead:
+*/
+  cout << "Probability of getting between " << low << " and " << high << " answers right by guessing is "
+    <<  cdf(quiz, high) - cdf(quiz, low - 1) << endl; // 0.61323
+/*`
+[pre
+Probability of getting between 3 and 5 answers right by guessing is 0.6132
+]
+And we can also try a few more combinations of high and low choices:
+*/
+  low = 1; high = 6;
+  cout << "Probability of getting between " << low << " and " << high << " answers right by guessing is "
+    <<  cdf(quiz, high) - cdf(quiz, low - 1) << endl; // 1 and 6 P= 0.91042
+  low = 1; high = 8;
+  cout << "Probability of getting between " << low << " and " << high << " answers right by guessing is "
+    <<  cdf(quiz, high) - cdf(quiz, low - 1) << endl; // 1 <= x 8 P = 0.9825
+  low = 4; high = 4;
+  cout << "Probability of getting between " << low << " and " << high << " answers right by guessing is "
+    <<  cdf(quiz, high) - cdf(quiz, low - 1) << endl; // 4 <= x 4 P = 0.22520
+
+/*`
+[pre
+Probability of getting between 1 and 6 answers right by guessing is 0.9104
+Probability of getting between 1 and 8 answers right by guessing is 0.9825
+Probability of getting between 4 and 4 answers right by guessing is 0.2252
+]
+[h4 Using Binomial distribution moments]
+Using moments of the distribution, we can say more about the spread of results from guessing.
+*/
+  cout << "By guessing, on average, one can expect to get " << mean(quiz) << " correct answers." << endl;
+  cout << "Standard deviation is " << standard_deviation(quiz) << endl;
+  cout << "So about 2/3 will lie within 1 standard deviation and get between "
+    <<  ceil(mean(quiz) - standard_deviation(quiz))  << " and "
+    << floor(mean(quiz) + standard_deviation(quiz)) << " correct." << endl;
+  cout << "Mode (the most frequent) is " << mode(quiz) << endl;
+  cout << "Skewness is " << skewness(quiz) << endl;
+
+/*`
+[pre
+By guessing, on average, one can expect to get 4 correct answers.
+Standard deviation is 1.732
+So about 2/3 will lie within 1 standard deviation and get between 3 and 5 correct.
+Mode (the most frequent) is 4
+Skewness is 0.2887
+]
+[h4 Quantiles]
+The quantiles (percentiles or percentage points) for a few probability levels:
+*/
+  cout << "Quartiles " << quantile(quiz, 0.25) << " to "
+    << quantile(complement(quiz, 0.25)) << endl; // Quartiles
+  cout << "1 standard deviation " << quantile(quiz, 0.33) << " to "
+    << quantile(quiz, 0.67) << endl; // 1 sd
+  cout << "Deciles " << quantile(quiz, 0.1)  << " to "
+    << quantile(complement(quiz, 0.1))<< endl; // Deciles
+  cout << "5 to 95% " << quantile(quiz, 0.05)  << " to "
+    << quantile(complement(quiz, 0.05))<< endl; // 5 to 95%
+  cout << "2.5 to 97.5% " << quantile(quiz, 0.025) << " to "
+    <<  quantile(complement(quiz, 0.025)) << endl; // 2.5 to 97.5%
+  cout << "2 to 98% " << quantile(quiz, 0.02)  << " to "
+    << quantile(complement(quiz, 0.02)) << endl; //  2 to 98%
+
+  cout << "If guessing then percentiles 1 to 99% will get " << quantile(quiz, 0.01)
+    << " to " << quantile(complement(quiz, 0.01)) << " right." << endl;
+/*`
+Notice that these output integral values because the default policy is `integer_round_outwards`.
+[pre
+Quartiles 2 to 5
+1 standard deviation 2 to 5
+Deciles 1 to 6
+5 to 95% 0 to 7
+2.5 to 97.5% 0 to 8
+2 to 98% 0 to 8
+]
+*/
+
+//] [/binomial_quiz_example2]
+
+//[discrete_quantile_real
+/*`
+Quantiles values are controlled by the __understand_dis_quant  quantile policy chosen.
+The default is `integer_round_outwards`,
+so the lower quantile is rounded down, and the upper quantile is rounded up.
+
+But we might believe that the real values tell us a little more - see __math_discrete.
+
+We could control the policy for *all* distributions by
+
+  #define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+  at the head of the program would make this policy apply
+to this *one, and only*, translation unit.
+
+Or we can now create a (typedef for) policy that has discrete quantiles real
+(here avoiding any 'using namespaces ...' statements):
+*/
+  using boost::math::policies::policy;
+  using boost::math::policies::discrete_quantile;
+  using boost::math::policies::real;
+  using boost::math::policies::integer_round_outwards; // Default.
+  typedef boost::math::policies::policy<discrete_quantile<real> > real_quantile_policy;
+/*`
+Add a custom binomial distribution called ``real_quantile_binomial`` that uses ``real_quantile_policy``
+*/
+  using boost::math::binomial_distribution;
+  typedef binomial_distribution<double, real_quantile_policy> real_quantile_binomial;
+/*`
+Construct an object of this custom distribution:
+*/
+  real_quantile_binomial quiz_real(questions, success_fraction);
+/*`
+And use this to show some quantiles - that now have real rather than integer values.
+*/
+  cout << "Quartiles " << quantile(quiz, 0.25) << " to "
+    << quantile(complement(quiz_real, 0.25)) << endl; // Quartiles 2 to 4.6212
+  cout << "1 standard deviation " << quantile(quiz_real, 0.33) << " to "
+    << quantile(quiz_real, 0.67) << endl; // 1 sd 2.6654 4.194
+  cout << "Deciles " << quantile(quiz_real, 0.1)  << " to "
+    << quantile(complement(quiz_real, 0.1))<< endl; // Deciles 1.3487 5.7583
+  cout << "5 to 95% " << quantile(quiz_real, 0.05)  << " to "
+    << quantile(complement(quiz_real, 0.05))<< endl; // 5 to 95% 0.83739 6.4559
+  cout << "2.5 to 97.5% " << quantile(quiz_real, 0.025) << " to "
+    <<  quantile(complement(quiz_real, 0.025)) << endl; // 2.5 to 97.5% 0.42806 7.0688
+  cout << "2 to 98% " << quantile(quiz_real, 0.02)  << " to "
+    << quantile(complement(quiz_real, 0.02)) << endl; //  2 to 98% 0.31311 7.7880
+
+  cout << "If guessing, then percentiles 1 to 99% will get " << quantile(quiz_real, 0.01)
+    << " to " << quantile(complement(quiz_real, 0.01)) << " right." << endl;
+/*`
+[pre
+Real Quantiles
+Quartiles 2 to 4.621
+1 standard deviation 2.665 to 4.194
+Deciles 1.349 to 5.758
+5 to 95% 0.8374 to 6.456
+2.5 to 97.5% 0.4281 to 7.069
+2 to 98% 0.3131 to 7.252
+If guessing then percentiles 1 to 99% will get 0 to 7.788 right.
+]
+*/
+
+//] [/discrete_quantile_real]
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because
+    // default policies are to throw exceptions on arguments that cause
+    // errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+} // int main()
+
+
+
+/*
+
+Output is:
+
+BAutorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\binomial_quiz_example.exe"
+Binomial distribution example - guessing in a quiz.
+In a quiz with 16 questions and with a probability of guessing right of 25 % or 1 in 4
+Probability of getting none right is 0.0100226
+Probability of getting exactly one right is 0.0534538
+Probability of getting exactly two right is 0.133635
+Probability of getting exactly 11 answers right by chance is 0.000247132
+Probability of getting all 16 answers right by chance is 2.32831e-010
+Guessed Probability
+ 0      0.0100226
+ 1      0.0534538
+ 2      0.133635
+ 3      0.207876
+ 4      0.225199
+ 5      0.180159
+ 6      0.110097
+ 7      0.0524273
+ 8      0.0196602
+ 9      0.00582526
+10      0.00135923
+11      0.000247132
+12      3.43239e-005
+13      3.5204e-006
+14      2.51457e-007
+15      1.11759e-008
+16      2.32831e-010
+Probability of getting none or one right is 0.0634764
+Probability of getting none or one right is 0.0634764
+Probability of getting <= 10 right (to fail) is 0.999715
+Probability of getting > 10 right (to pass) is 0.000285239
+Probability of getting > 10 right (to pass) is 0.000285239
+Probability of getting less than 11 (< 11) answers right by guessing is 0.999715
+Probability of getting at least 11(>= 11) answers right by guessing is 0.000285239, only 1 in 3505.83
+At most (<=)
+Guessed OK   Probability
+ 0           0.01002259576
+ 1           0.0634764398
+ 2           0.1971110499
+ 3           0.4049871101
+ 4           0.6301861752
+ 5           0.8103454274
+ 6           0.9204427481
+ 7           0.9728700437
+ 8           0.9925302796
+ 9           0.9983555346
+10           0.9997147608
+11           0.9999618928
+12           0.9999962167
+13           0.9999997371
+14           0.9999999886
+15           0.9999999998
+16           1
+At least (>)
+Guessed OK   Probability
+ 0           0.9899774042
+ 1           0.9365235602
+ 2           0.8028889501
+ 3           0.5950128899
+ 4           0.3698138248
+ 5           0.1896545726
+ 6           0.07955725188
+ 7           0.02712995629
+ 8           0.00746972044
+ 9           0.001644465374
+10           0.0002852391917
+11           3.810715862e-005
+12           3.783265129e-006
+13           2.628657967e-007
+14           1.140870154e-008
+15           2.328306437e-010
+16           0
+Probability of getting between 3 and 5 answers right by guessing is 0.6132
+Probability of getting between 3 and 5 answers right by guessing is 0.6132
+Probability of getting between 1 and 6 answers right by guessing is 0.9104
+Probability of getting between 1 and 8 answers right by guessing is 0.9825
+Probability of getting between 4 and 4 answers right by guessing is 0.2252
+By guessing, on average, one can expect to get 4 correct answers.
+Standard deviation is 1.732
+So about 2/3 will lie within 1 standard deviation and get between 3 and 5 correct.
+Mode (the most frequent) is 4
+Skewness is 0.2887
+Quartiles 2 to 5
+1 standard deviation 2 to 5
+Deciles 1 to 6
+5 to 95% 0 to 7
+2.5 to 97.5% 0 to 8
+2 to 98% 0 to 8
+If guessing then percentiles 1 to 99% will get 0 to 8 right.
+Quartiles 2 to 4.621
+1 standard deviation 2.665 to 4.194
+Deciles 1.349 to 5.758
+5 to 95% 0.8374 to 6.456
+2.5 to 97.5% 0.4281 to 7.069
+2 to 98% 0.3131 to 7.252
+If guessing, then percentiles 1 to 99% will get 0 to 7.788 right.
+
+*/
+
diff --git a/src/boost/libs/math/example/binomial_sample_sizes.cpp b/src/boost/libs/math/example/binomial_sample_sizes.cpp
new file mode 100644
index 00000000..db9f8597
--- /dev/null
+++ b/src/boost/libs/math/example/binomial_sample_sizes.cpp
@@ -0,0 +1,176 @@
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4512) // assignment operator could not be generated.
+#  pragma warning(disable: 4510) // default constructor could not be generated.
+#  pragma warning(disable: 4610) // can never be instantiated - user defined constructor required.
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <iomanip>
+using std::fixed; using std::left; using std::right; using std::right; using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/binomial.hpp>
+
+void find_max_sample_size(double p, unsigned successes)
+{
+   //
+   // p         = success ratio.
+   // successes = Total number of observed successes.
+   //
+   // Calculate how many trials we can have to ensure the
+   // maximum number of successes does not exceed "successes".
+   // A typical use would be failure analysis, where you want
+   // zero or fewer "successes" with some probability.
+   //
+   // using namespace boost::math;
+   // Avoid potential binomial_distribution name ambiguity with std <random>
+   using boost::math::binomial_distribution;
+
+   // Print out general info:
+   cout <<
+      "________________________\n"
+      "Maximum Number of Trials\n"
+      "________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Success ratio" << "=  " << p << "\n";
+   cout << setw(40) << left << "Maximum Number of \"successes\" permitted" << "=  " << successes << "\n";
+   //
+   // Define a table of confidence intervals:
+   //
+   double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "____________________________\n"
+           "Confidence        Max Number\n" 
+           " Value (%)        Of Trials \n"
+           "____________________________\n";
+   //
+   // Now print out the data for the table rows.
+   //
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // calculate trials:
+      double t = binomial_distribution<>::find_maximum_number_of_trials(successes, p, alpha[i]);
+      t = floor(t);
+      // Print Trials:
+      cout << fixed << setprecision(0) << setw(15) << right << t << endl;
+   }
+   cout << endl;
+}
+
+int main()
+{
+   find_max_sample_size(1.0/1000, 0);
+   find_max_sample_size(1.0/10000, 0);
+   find_max_sample_size(1.0/100000, 0);
+   find_max_sample_size(1.0/1000000, 0);
+
+   return 0;
+}
+
+
+/*
+
+Output:
+
+  binomial_sample_sizes.cpp
+  binomial_sample_sizes_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\binomial_sample_sizes_example.exe
+  ________________________
+  Maximum Number of Trials
+  ________________________
+  
+  Success ratio                           =  0.001
+  Maximum Number of "successes" permitted =  0
+  
+  
+  ____________________________
+  Confidence        Max Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000            692
+      75.000            287
+      90.000            105
+      95.000             51
+      99.000             10
+      99.900              0
+      99.990              0
+      99.999              0
+  
+  ________________________
+  Maximum Number of Trials
+  ________________________
+  
+  Success ratio                           =  0.0001000
+  Maximum Number of "successes" permitted =  0
+  
+  
+  ____________________________
+  Confidence        Max Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000           6931
+      75.000           2876
+      90.000           1053
+      95.000            512
+      99.000            100
+      99.900             10
+      99.990              0
+      99.999              0
+  
+  ________________________
+  Maximum Number of Trials
+  ________________________
+  
+  Success ratio                           =  0.0000100
+  Maximum Number of "successes" permitted =  0
+  
+  
+  ____________________________
+  Confidence        Max Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000          69314
+      75.000          28768
+      90.000          10535
+      95.000           5129
+      99.000           1005
+      99.900            100
+      99.990             10
+      99.999              1
+  
+  ________________________
+  Maximum Number of Trials
+  ________________________
+  
+  Success ratio                           =  0.0000010
+  Maximum Number of "successes" permitted =  0
+  
+  
+  ____________________________
+  Confidence        Max Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000         693146
+      75.000         287681
+      90.000         105360
+      95.000          51293
+      99.000          10050
+      99.900           1000
+      99.990            100
+      99.999             10
+  
+
+*/
diff --git a/src/boost/libs/math/example/brent_minimise_example.cpp b/src/boost/libs/math/example/brent_minimise_example.cpp
new file mode 100644
index 00000000..09053bd0
--- /dev/null
+++ b/src/boost/libs/math/example/brent_minimise_example.cpp
@@ -0,0 +1,730 @@
+//! \file
+//! \brief Brent_minimise_example.cpp
+
+// Copyright Paul A. Bristow 2015, 2018.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// For some diagnostic information:
+//#define BOOST_MATH_INSTRUMENT
+// If quadmath float128 is available:
+//#define BOOST_HAVE_QUADMATH
+
+// Example of finding minimum of a function with Brent's method.
+//[brent_minimise_include_1
+#include <boost/math/tools/minima.hpp>
+//] [/brent_minimise_include_1]
+
+#include <boost/math/special_functions/next.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/pow.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // For is_close_at)tolerance and is_small
+
+//[brent_minimise_mp_include_0
+#include <boost/multiprecision/cpp_dec_float.hpp> // For decimal boost::multiprecision::cpp_dec_float_50.
+#include <boost/multiprecision/cpp_bin_float.hpp> // For binary boost::multiprecision::cpp_bin_float_50;
+//] [/brent_minimise_mp_include_0]
+
+//#ifndef _MSC_VER  // float128 is not yet supported by Microsoft compiler at 2018.
+#ifdef BOOST_HAVE_QUADMATH  // Define only if GCC or Intel, and have quadmath.lib or .dll library available.
+#  include <boost/multiprecision/float128.hpp>
+#endif
+
+#include <iostream>
+// using std::cout; using std::endl;
+#include <iomanip>
+// using std::setw; using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+#include <tuple>
+#include <utility> // pair, make_pair
+#include <type_traits>
+#include <typeinfo>
+
+ //typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>,
+ //   boost::multiprecision::et_off>
+ //   cpp_dec_float_50_et_off;
+ //
+ // typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<50>,
+ //   boost::multiprecision::et_off>
+ //   cpp_bin_float_50_et_off;
+
+// http://en.wikipedia.org/wiki/Brent%27s_method Brent's method
+
+// An example of a function for which we want to find a minimum.
+double f(double x)
+{
+  return (x + 3) * (x - 1) * (x - 1);
+}
+
+//[brent_minimise_double_functor
+struct funcdouble
+{
+  double operator()(double const& x)
+  {
+    return (x + 3) * (x - 1) * (x - 1); // (x + 3)(x - 1)^2
+  }
+};
+//] [/brent_minimise_double_functor]
+
+//[brent_minimise_T_functor
+struct func
+{
+  template <class T>
+  T operator()(T const& x)
+  {
+    return (x + 3) * (x - 1) * (x - 1); // (x + 3)(x - 1)^2
+  }
+};
+//] [/brent_minimise_T_functor]
+
+//! Test if two values are close within a given tolerance.
+template<typename FPT>
+inline bool
+is_close_to(FPT left, FPT right, FPT tolerance)
+{
+  return boost::math::fpc::close_at_tolerance<FPT>(tolerance) (left, right);
+}
+
+//[brent_minimise_close
+
+//! Compare if value got is close to expected,
+//! checking first if expected is very small
+//! (to avoid divide by tiny or zero during comparison)
+//! before comparing expect with value got.
+
+template <class T>
+bool is_close(T expect, T got, T tolerance)
+{
+  using boost::math::fpc::close_at_tolerance;
+  using boost::math::fpc::is_small;
+  using boost::math::fpc::FPC_STRONG;
+
+  if (is_small<T>(expect, tolerance))
+  {
+    return is_small<T>(got, tolerance);
+  }
+
+  return close_at_tolerance<T>(tolerance, FPC_STRONG) (expect, got);
+} // bool is_close(T expect, T got, T tolerance)
+
+//] [/brent_minimise_close]
+
+//[brent_minimise_T_show
+
+//! Example template function to find and show minima.
+//! \tparam T floating-point or fixed_point type.
+template <class T>
+void show_minima()
+{
+  using boost::math::tools::brent_find_minima;
+  using std::sqrt;
+  try
+  { // Always use try'n'catch blocks with Boost.Math to ensure you get any error messages.
+
+    int bits = std::numeric_limits<T>::digits/2; // Maximum is digits/2;
+    std::streamsize prec = static_cast<int>(2 + sqrt((double)bits));  // Number of significant decimal digits.
+    std::streamsize precision = std::cout.precision(prec); // Save and set.
+
+    std::cout << "\n\nFor type: " << typeid(T).name()
+      << ",\n  epsilon = " << std::numeric_limits<T>::epsilon()
+      // << ", precision of " << bits << " bits"
+      << ",\n  the maximum theoretical precision from Brent's minimization is "
+      << sqrt(std::numeric_limits<T>::epsilon())
+      << "\n  Displaying to std::numeric_limits<T>::digits10 " << prec << ", significant decimal digits."
+      << std::endl;
+
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    // Construct using string, not double, avoids loss of precision.
+    //T bracket_min = static_cast<T>("-4");
+    //T bracket_max = static_cast<T>("1.3333333333333333333333333333333333333333333333333");
+
+    // Construction from double may cause loss of precision for multiprecision types like cpp_bin_float,
+    // but brackets values are good enough for using Brent minimization.
+    T bracket_min = static_cast<T>(-4);
+    T bracket_max = static_cast<T>(1.3333333333333333333333333333333333333333333333333);
+
+    std::pair<T, T> r = brent_find_minima<func, T>(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "  x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second;
+    if (it < maxit)
+    {
+      std::cout << ",\n  met " << bits << " bits precision" << ", after " << it << " iterations." << std::endl;
+    }
+    else
+    {
+      std::cout << ",\n  did NOT meet " << bits << " bits precision" << " after " << it << " iterations!" << std::endl;
+    }
+    // Check that result is that expected (compared to theoretical uncertainty).
+    T uncertainty = sqrt(std::numeric_limits<T>::epsilon());
+    std::cout << std::boolalpha << "x == 1 (compared to uncertainty " << uncertainty << ") is "
+      << is_close(static_cast<T>(1), r.first, uncertainty) << std::endl;
+    std::cout << std::boolalpha << "f(x) == (0 compared to uncertainty " << uncertainty << ") is "
+      << is_close(static_cast<T>(0), r.second, uncertainty) << std::endl;
+    // Problems with this using multiprecision with expression template on?
+    std::cout.precision(precision);  // Restore.
+  }
+  catch (const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+} // void show_minima()
+
+//] [/brent_minimise_T_show]
+
+int main()
+{
+  using boost::math::tools::brent_find_minima;
+  using std::sqrt;
+  std::cout << "Brent's minimisation examples." << std::endl;
+  std::cout << std::boolalpha << std::endl;
+  std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+  // Tip - using
+  // std::cout.precision(std::numeric_limits<T>::digits10);
+  // during debugging is wise because it warns
+  // if construction of multiprecision involves conversion from double
+  // by finding random or zero digits after 17th decimal digit.
+
+  // Specific type double - unlimited iterations (unwise?).
+  {
+    std::cout << "\nType double - unlimited iterations (unwise?)" << std::endl;
+  //[brent_minimise_double_1
+    const int double_bits = std::numeric_limits<double>::digits;
+    std::pair<double, double> r = brent_find_minima(funcdouble(), -4., 4. / 3, double_bits);
+
+    std::streamsize precision_1 = std::cout.precision(std::numeric_limits<double>::digits10);
+    // Show all double precision decimal digits and trailing zeros.
+    std::cout << "x at minimum = " << r.first
+      << ", f(" << r.first << ") = " << r.second << std::endl;
+    //] [/brent_minimise_double_1]
+    std::cout << "x at minimum = " << (r.first - 1.) / r.first << std::endl;
+    // x at minimum = 1.00000000112345, f(1.00000000112345) = 5.04852568272458e-018
+    double uncertainty = sqrt(std::numeric_limits<double>::epsilon());
+    std::cout << "Uncertainty sqrt(epsilon) =  " << uncertainty << std::endl;
+    // sqrt(epsilon) =  1.49011611938477e-008
+    // (epsilon is always > 0, so no need to take abs value).
+
+    std::cout.precision(precision_1); // Restore.
+  //[brent_minimise_double_1a
+
+  using boost::math::fpc::close_at_tolerance;
+  using boost::math::fpc::is_small;
+
+  std::cout << "x = " << r.first << ", f(x) = " << r.second << std::endl;
+  std::cout << std::boolalpha << "x == 1 (compared to uncertainty "
+    << uncertainty << ") is " << is_close(1., r.first, uncertainty) << std::endl; // true
+  std::cout << std::boolalpha << "f(x) == 0 (compared to uncertainty "
+    << uncertainty << ") is " << is_close(0., r.second, uncertainty) << std::endl; // true
+//] [/brent_minimise_double_1a]
+
+  }
+  std::cout << "\nType double with limited iterations." << std::endl;
+  {
+    const int bits = std::numeric_limits<double>::digits;
+    // Specific type double - limit maxit to 20 iterations.
+    std::cout << "Precision bits = " << bits << std::endl;
+  //[brent_minimise_double_2
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<double, double> r = brent_find_minima(funcdouble(), -4., 4. / 3, bits, it);
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second
+      << " after " << it << " iterations. " << std::endl;
+    //] [/brent_minimise_double_2]
+      // x at minimum = 1.00000000112345, f(1.00000000112345) = 5.04852568272458e-018
+//[brent_minimise_double_3
+  std::streamsize prec = static_cast<int>(2 + sqrt((double)bits));  // Number of significant decimal digits.
+  std::streamsize precision_3 = std::cout.precision(prec); // Save and set new precision.
+  std::cout << "Showing " << bits << " bits "
+    "precision with " << prec
+    << " decimal digits from tolerance " << sqrt(std::numeric_limits<double>::epsilon())
+    << std::endl;
+
+  std::cout << "x at minimum = " << r.first
+    << ", f(" << r.first << ") = " << r.second
+    << " after " << it << " iterations. " << std::endl;
+  std::cout.precision(precision_3); // Restore.
+//] [/brent_minimise_double_3]
+  // Showing 53 bits precision with 9 decimal digits from tolerance 1.49011611938477e-008
+  //  x at minimum = 1, f(1) = 5.04852568e-018
+  }
+
+  std::cout << "\nType double with limited iterations and half double bits." << std::endl;
+  {
+
+//[brent_minimise_double_4
+  const int bits_div_2 = std::numeric_limits<double>::digits / 2; // Half digits precision (effective maximum).
+  double epsilon_2 = boost::math::pow<-(std::numeric_limits<double>::digits/2 - 1), double>(2);
+  std::streamsize prec = static_cast<int>(2 + sqrt((double)bits_div_2));  // Number of significant decimal digits.
+
+  std::cout << "Showing " << bits_div_2 << " bits precision with " << prec
+    << " decimal digits from tolerance " << sqrt(epsilon_2)
+    << std::endl;
+  std::streamsize precision_4 = std::cout.precision(prec); // Save.
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it_4 = maxit;
+  std::pair<double, double> r = brent_find_minima(funcdouble(), -4., 4. / 3, bits_div_2, it_4);
+  std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+  std::cout << it_4 << " iterations. " << std::endl;
+  std::cout.precision(precision_4); // Restore.
+
+//] [/brent_minimise_double_4]
+  }
+  // x at minimum = 1, f(1) = 5.04852568e-018
+
+  {
+    std::cout << "\nType double with limited iterations and quarter double bits." << std::endl;
+  //[brent_minimise_double_5
+    const int bits_div_4 = std::numeric_limits<double>::digits / 4; // Quarter precision.
+    double epsilon_4 = boost::math::pow<-(std::numeric_limits<double>::digits / 4 - 1), double>(2);
+    std::streamsize prec = static_cast<int>(2 + sqrt((double)bits_div_4));  // Number of significant decimal digits.
+    std::cout << "Showing " << bits_div_4 << " bits precision with " << prec
+      << " decimal digits from tolerance " << sqrt(epsilon_4)
+      << std::endl;
+    std::streamsize precision_5 = std::cout.precision(prec); // Save & set.
+    const boost::uintmax_t maxit = 20;
+
+    boost::uintmax_t it_5 = maxit;
+    std::pair<double, double> r = brent_find_minima(funcdouble(), -4., 4. / 3, bits_div_4, it_5);
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second
+    << ", after " << it_5 << " iterations. " << std::endl;
+    std::cout.precision(precision_5); // Restore.
+
+  //] [/brent_minimise_double_5]
+  }
+
+  // Showing 13 bits precision with 9 decimal digits from tolerance 0.015625
+  // x at minimum = 0.9999776, f(0.9999776) = 2.0069572e-009
+  //  7 iterations.
+
+  {
+    std::cout << "\nType long double with limited iterations and all long double bits." << std::endl;
+//[brent_minimise_template_1
+    std::streamsize precision_t1 = std::cout.precision(std::numeric_limits<long double>::digits10); // Save & set.
+    long double bracket_min = -4.;
+    long double bracket_max = 4. / 3;
+    const int bits = std::numeric_limits<long double>::digits;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+
+    std::pair<long double, long double> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second
+      << ", after " << it << " iterations. " << std::endl;
+    std::cout.precision(precision_t1);  // Restore.
+//] [/brent_minimise_template_1]
+  }
+
+  // Show use of built-in type Template versions.
+  // (Will not work if construct bracket min and max from string).
+
+//[brent_minimise_template_fd
+  show_minima<float>();
+  show_minima<double>();
+  show_minima<long double>();
+
+ //] [/brent_minimise_template_fd]
+
+//[brent_minimise_mp_include_1
+#ifdef BOOST_HAVE_QUADMATH  // Defined only if GCC or Intel and have quadmath.lib or .dll library available.
+  using boost::multiprecision::float128;
+#endif
+//] [/brent_minimise_mp_include_1]
+
+//[brent_minimise_template_quad
+#ifdef BOOST_HAVE_QUADMATH  // Defined only if GCC or Intel and have quadmath.lib or .dll library available.
+  show_minima<float128>(); // Needs quadmath_snprintf, sqrtQ, fabsq that are in in quadmath library.
+#endif
+//] [/brent_minimise_template_quad
+
+  // User-defined floating-point template.
+
+//[brent_minimise_mp_typedefs
+  using boost::multiprecision::cpp_bin_float_50; // binary multiprecision typedef.
+  using boost::multiprecision::cpp_dec_float_50; // decimal multiprecision typedef.
+
+  // One might also need typedefs like these to switch expression templates off and on (default is on).
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<50>,
+    boost::multiprecision::et_on>
+    cpp_bin_float_50_et_on;  // et_on is default so is same as cpp_bin_float_50.
+
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<50>,
+    boost::multiprecision::et_off>
+    cpp_bin_float_50_et_off;
+
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>,
+    boost::multiprecision::et_on> // et_on is default so is same as cpp_dec_float_50.
+    cpp_dec_float_50_et_on;
+
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>,
+    boost::multiprecision::et_off>
+    cpp_dec_float_50_et_off;
+//] [/brent_minimise_mp_typedefs]
+
+  { // binary ET on by default.
+//[brent_minimise_mp_1
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10);
+    int bits = std::numeric_limits<cpp_bin_float_50>::digits / 2 - 2;
+    cpp_bin_float_50 bracket_min = static_cast<cpp_bin_float_50>("-4");
+    cpp_bin_float_50 bracket_max = static_cast<cpp_bin_float_50>("1.3333333333333333333333333333333333333333333333333");
+
+    std::cout << "Bracketing " << bracket_min << " to " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit; // Will be updated with actual iteration count.
+    std::pair<cpp_bin_float_50, cpp_bin_float_50> r
+      = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ",\n f(" << r.first << ") = " << r.second
+    // x at minimum = 1, f(1) = 5.04853e-018
+      << ", after " << it << " iterations. " << std::endl;
+
+    is_close_to(static_cast<cpp_bin_float_50>("1"), r.first, sqrt(std::numeric_limits<cpp_bin_float_50>::epsilon()));
+    is_close_to(static_cast<cpp_bin_float_50>("0"), r.second, sqrt(std::numeric_limits<cpp_bin_float_50>::epsilon()));
+
+//] [/brent_minimise_mp_1]
+
+/*
+//[brent_minimise_mp_output_1
+For type  class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,1>,
+epsilon = 5.3455294202e-51,
+the maximum theoretical precision from Brent minimization is 7.311312755e-26
+Displaying to std::numeric_limits<T>::digits10 11 significant decimal digits.
+x at minimum = 1, f(1) = 5.6273022713e-58,
+met 84 bits precision, after 14 iterations.
+x == 1 (compared to uncertainty 7.311312755e-26) is true
+f(x) == (0 compared to uncertainty 7.311312755e-26) is true
+-4 1.3333333333333333333333333333333333333333333333333
+x at minimum = 0.99999999999999999999999999998813903221565569205253,
+f(0.99999999999999999999999999998813903221565569205253) =
+  5.6273022712501408640665300316078046703496236636624e-58
+14 iterations
+//] [/brent_minimise_mp_output_1]
+*/
+//[brent_minimise_mp_2
+    show_minima<cpp_bin_float_50_et_on>(); //
+//] [/brent_minimise_mp_2]
+
+/*
+//[brent_minimise_mp_output_2
+    For type  class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50, 10, void, int, 0, 0>, 1>,
+
+//] [/brent_minimise_mp_output_1]
+*/
+  }
+
+  { // binary ET on explicit
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50_et_on>::digits10);
+
+    int bits = std::numeric_limits<cpp_bin_float_50_et_on>::digits / 2 - 2;
+
+    cpp_bin_float_50_et_on bracket_min = static_cast<cpp_bin_float_50_et_on>("-4");
+    cpp_bin_float_50_et_on bracket_max = static_cast<cpp_bin_float_50_et_on>("1.3333333333333333333333333333333333333333333333333");
+
+    std::cout << bracket_min << " " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<cpp_bin_float_50_et_on, cpp_bin_float_50_et_on> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+    // x at minimum = 1, f(1) = 5.04853e-018
+    std::cout << it << " iterations. " << std::endl;
+
+    show_minima<cpp_bin_float_50_et_on>(); //
+
+  }
+  return 0;
+
+  // Some examples of switching expression templates on and off follow.
+
+  { // binary ET off
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50_et_off>::digits10);
+
+    int bits = std::numeric_limits<cpp_bin_float_50_et_off>::digits / 2 - 2;
+    cpp_bin_float_50_et_off bracket_min = static_cast<cpp_bin_float_50_et_off>("-4");
+    cpp_bin_float_50_et_off bracket_max = static_cast<cpp_bin_float_50_et_off>("1.3333333333333333333333333333333333333333333333333");
+
+    std::cout << bracket_min << " " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<cpp_bin_float_50_et_off, cpp_bin_float_50_et_off> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+    // x at minimum = 1, f(1) = 5.04853e-018
+    std::cout << it << " iterations. " << std::endl;
+
+    show_minima<cpp_bin_float_50_et_off>(); //
+  }
+
+  { // decimal ET on by default
+    std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+
+    int bits = std::numeric_limits<cpp_dec_float_50>::digits / 2 - 2;
+
+    cpp_dec_float_50 bracket_min = static_cast<cpp_dec_float_50>("-4");
+    cpp_dec_float_50 bracket_max = static_cast<cpp_dec_float_50>("1.3333333333333333333333333333333333333333333333333");
+
+    std::cout << bracket_min << " " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<cpp_dec_float_50, cpp_dec_float_50> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+    // x at minimum = 1, f(1) = 5.04853e-018
+    std::cout << it << " iterations. " << std::endl;
+
+    show_minima<cpp_dec_float_50>();
+  }
+
+  { // decimal ET on
+    std::cout.precision(std::numeric_limits<cpp_dec_float_50_et_on>::digits10);
+
+    int bits = std::numeric_limits<cpp_dec_float_50_et_on>::digits / 2 - 2;
+
+    cpp_dec_float_50_et_on bracket_min = static_cast<cpp_dec_float_50_et_on>("-4");
+    cpp_dec_float_50_et_on bracket_max = static_cast<cpp_dec_float_50_et_on>("1.3333333333333333333333333333333333333333333333333");
+    std::cout << bracket_min << " " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<cpp_dec_float_50_et_on, cpp_dec_float_50_et_on> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+    // x at minimum = 1, f(1) = 5.04853e-018
+    std::cout << it << " iterations. " << std::endl;
+
+    show_minima<cpp_dec_float_50_et_on>();
+
+  }
+
+  { // decimal ET off
+    std::cout.precision(std::numeric_limits<cpp_dec_float_50_et_off>::digits10);
+
+    int bits = std::numeric_limits<cpp_dec_float_50_et_off>::digits / 2 - 2;
+
+    cpp_dec_float_50_et_off bracket_min = static_cast<cpp_dec_float_50_et_off>("-4");
+    cpp_dec_float_50_et_off bracket_max = static_cast<cpp_dec_float_50_et_off>("1.3333333333333333333333333333333333333333333333333");
+
+    std::cout << bracket_min << " " << bracket_max << std::endl;
+    const boost::uintmax_t maxit = 20;
+    boost::uintmax_t it = maxit;
+    std::pair<cpp_dec_float_50_et_off, cpp_dec_float_50_et_off> r = brent_find_minima(func(), bracket_min, bracket_max, bits, it);
+
+    std::cout << "x at minimum = " << r.first << ", f(" << r.first << ") = " << r.second << std::endl;
+    // x at minimum = 1, f(1) = 5.04853e-018
+    std::cout << it << " iterations. " << std::endl;
+
+    show_minima<cpp_dec_float_50_et_off>();
+  }
+
+  return 0;
+} // int main()
+
+
+/*
+
+Typical output MSVC 15.7.3
+
+brent_minimise_example.cpp
+Generating code
+7 of 2746 functions ( 0.3%) were compiled, the rest were copied from previous compilation.
+0 functions were new in current compilation
+1 functions had inline decision re-evaluated but remain unchanged
+Finished generating code
+brent_minimise_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\brent_minimise_example.exe
+Autorun "J:\Cpp\MathToolkit\test\Math_test\Release\brent_minimise_example.exe"
+Brent's minimisation examples.
+
+
+
+Type double - unlimited iterations (unwise?)
+x at minimum = 1.00000000112345, f(1.00000000112345) = 5.04852568272458e-18
+x at minimum = 1.12344622367552e-09
+Uncertainty sqrt(epsilon) =  1.49011611938477e-08
+x = 1.00000, f(x) = 5.04853e-18
+x == 1 (compared to uncertainty 1.49012e-08) is true
+f(x) == 0 (compared to uncertainty 1.49012e-08) is true
+
+Type double with limited iterations.
+Precision bits = 53
+x at minimum = 1.00000, f(1.00000) = 5.04853e-18 after 10 iterations.
+Showing 53 bits precision with 9 decimal digits from tolerance 1.49011612e-08
+x at minimum = 1.00000000, f(1.00000000) = 5.04852568e-18 after 10 iterations.
+
+Type double with limited iterations and half double bits.
+Showing 26 bits precision with 7 decimal digits from tolerance 0.000172633
+x at minimum = 1.000000, f(1.000000) = 5.048526e-18
+10 iterations.
+
+Type double with limited iterations and quarter double bits.
+Showing 13 bits precision with 5 decimal digits from tolerance 0.0156250
+x at minimum = 0.99998, f(0.99998) = 2.0070e-09, after 7 iterations.
+
+Type long double with limited iterations and all long double bits.
+x at minimum = 1.00000000112345, f(1.00000000112345) = 5.04852568272458e-18, after 10 iterations.
+
+
+For type: float,
+epsilon = 1.1921e-07,
+the maximum theoretical precision from Brent's minimization is 0.00034527
+Displaying to std::numeric_limits<T>::digits10 5, significant decimal digits.
+x at minimum = 1.0002, f(1.0002) = 1.9017e-07,
+met 12 bits precision, after 7 iterations.
+x == 1 (compared to uncertainty 0.00034527) is true
+f(x) == (0 compared to uncertainty 0.00034527) is true
+
+
+For type: double,
+epsilon = 2.220446e-16,
+the maximum theoretical precision from Brent's minimization is 1.490116e-08
+Displaying to std::numeric_limits<T>::digits10 7, significant decimal digits.
+x at minimum = 1.000000, f(1.000000) = 5.048526e-18,
+met 26 bits precision, after 10 iterations.
+x == 1 (compared to uncertainty 1.490116e-08) is true
+f(x) == (0 compared to uncertainty 1.490116e-08) is true
+
+
+For type: long double,
+epsilon = 2.220446e-16,
+the maximum theoretical precision from Brent's minimization is 1.490116e-08
+Displaying to std::numeric_limits<T>::digits10 7, significant decimal digits.
+x at minimum = 1.000000, f(1.000000) = 5.048526e-18,
+met 26 bits precision, after 10 iterations.
+x == 1 (compared to uncertainty 1.490116e-08) is true
+f(x) == (0 compared to uncertainty 1.490116e-08) is true
+Bracketing -4.0000000000000000000000000000000000000000000000000 to 1.3333333333333333333333333333333333333333333333333
+x at minimum = 0.99999999999999999999999999998813903221565569205253,
+f(0.99999999999999999999999999998813903221565569205253) = 5.6273022712501408640665300316078046703496236636624e-58, after 14 iterations.
+
+
+For type: class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,1>,
+epsilon = 5.3455294202e-51,
+the maximum theoretical precision from Brent's minimization is 7.3113127550e-26
+Displaying to std::numeric_limits<T>::digits10 11, significant decimal digits.
+x at minimum = 1.0000000000, f(1.0000000000) = 5.6273022713e-58,
+met 84 bits precision, after 14 iterations.
+x == 1 (compared to uncertainty 7.3113127550e-26) is true
+f(x) == (0 compared to uncertainty 7.3113127550e-26) is true
+-4.0000000000000000000000000000000000000000000000000 1.3333333333333333333333333333333333333333333333333
+x at minimum = 0.99999999999999999999999999998813903221565569205253, f(0.99999999999999999999999999998813903221565569205253) = 5.6273022712501408640665300316078046703496236636624e-58
+14 iterations.
+
+
+For type: class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,1>,
+epsilon = 5.3455294202e-51,
+the maximum theoretical precision from Brent's minimization is 7.3113127550e-26
+Displaying to std::numeric_limits<T>::digits10 11, significant decimal digits.
+x at minimum = 1.0000000000, f(1.0000000000) = 5.6273022713e-58,
+met 84 bits precision, after 14 iterations.
+x == 1 (compared to uncertainty 7.3113127550e-26) is true
+f(x) == (0 compared to uncertainty 7.3113127550e-26) is true
+
+
+============================================================================================================
+
+ // GCC 7.2.0 with quadmath
+
+Brent's minimisation examples.
+
+Type double - unlimited iterations (unwise?)
+x at minimum = 1.00000000112345, f(1.00000000112345) = 5.04852568272458e-018
+x at minimum = 1.12344622367552e-009
+Uncertainty sqrt(epsilon) =  1.49011611938477e-008
+x = 1.00000, f(x) = 5.04853e-018
+x == 1 (compared to uncertainty 1.49012e-008) is true
+f(x) == 0 (compared to uncertainty 1.49012e-008) is true
+
+Type double with limited iterations.
+Precision bits = 53
+x at minimum = 1.00000, f(1.00000) = 5.04853e-018 after 10 iterations.
+Showing 53 bits precision with 9 decimal digits from tolerance 1.49011612e-008
+x at minimum = 1.00000000, f(1.00000000) = 5.04852568e-018 after 10 iterations.
+
+Type double with limited iterations and half double bits.
+Showing 26 bits precision with 7 decimal digits from tolerance 0.000172633
+x at minimum = 1.000000, f(1.000000) = 5.048526e-018
+10 iterations.
+
+Type double with limited iterations and quarter double bits.
+Showing 13 bits precision with 5 decimal digits from tolerance 0.0156250
+x at minimum = 0.99998, f(0.99998) = 2.0070e-009, after 7 iterations.
+
+Type long double with limited iterations and all long double bits.
+x at minimum = 1.00000000000137302, f(1.00000000000137302) = 7.54079013697311930e-024, after 10 iterations.
+
+
+For type: f,
+epsilon = 1.1921e-007,
+the maximum theoretical precision from Brent's minimization is 0.00034527
+Displaying to std::numeric_limits<T>::digits10 5, significant decimal digits.
+x at minimum = 1.0002, f(1.0002) = 1.9017e-007,
+met 12 bits precision, after 7 iterations.
+x == 1 (compared to uncertainty 0.00034527) is true
+f(x) == (0 compared to uncertainty 0.00034527) is true
+
+
+For type: d,
+epsilon = 2.220446e-016,
+the maximum theoretical precision from Brent's minimization is 1.490116e-008
+Displaying to std::numeric_limits<T>::digits10 7, significant decimal digits.
+x at minimum = 1.000000, f(1.000000) = 5.048526e-018,
+met 26 bits precision, after 10 iterations.
+x == 1 (compared to uncertainty 1.490116e-008) is true
+f(x) == (0 compared to uncertainty 1.490116e-008) is true
+
+
+For type: e,
+epsilon = 1.084202e-019,
+the maximum theoretical precision from Brent's minimization is 3.292723e-010
+Displaying to std::numeric_limits<T>::digits10 7, significant decimal digits.
+x at minimum = 1.000000, f(1.000000) = 7.540790e-024,
+met 32 bits precision, after 10 iterations.
+x == 1 (compared to uncertainty 3.292723e-010) is true
+f(x) == (0 compared to uncertainty 3.292723e-010) is true
+
+
+For type: N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE,
+epsilon = 1.92592994e-34,
+the maximum theoretical precision from Brent's minimization is 1.38777878e-17
+Displaying to std::numeric_limits<T>::digits10 9, significant decimal digits.
+x at minimum = 1.00000000, f(1.00000000) = 1.48695468e-43,
+met 56 bits precision, after 12 iterations.
+x == 1 (compared to uncertainty 1.38777878e-17) is true
+f(x) == (0 compared to uncertainty 1.38777878e-17) is true
+Bracketing -4.0000000000000000000000000000000000000000000000000 to 1.3333333333333333333333333333333333333333333333333
+x at minimum = 0.99999999999999999999999999998813903221565569205253,
+f(0.99999999999999999999999999998813903221565569205253) = 5.6273022712501408640665300316078046703496236636624e-58, after 14 iterations.
+
+
+For type: N5boost14multiprecision6numberINS0_8backends13cpp_bin_floatILj50ELNS2_15digit_base_typeE10EviLi0ELi0EEELNS0_26expression_template_optionE1EEE,
+epsilon = 5.3455294202e-51,
+the maximum theoretical precision from Brent's minimization is 7.3113127550e-26
+Displaying to std::numeric_limits<T>::digits10 11, significant decimal digits.
+x at minimum = 1.0000000000, f(1.0000000000) = 5.6273022713e-58,
+met 84 bits precision, after 14 iterations.
+x == 1 (compared to uncertainty 7.3113127550e-26) is true
+f(x) == (0 compared to uncertainty 7.3113127550e-26) is true
+-4.0000000000000000000000000000000000000000000000000 1.3333333333333333333333333333333333333333333333333
+x at minimum = 0.99999999999999999999999999998813903221565569205253, f(0.99999999999999999999999999998813903221565569205253) = 5.6273022712501408640665300316078046703496236636624e-58
+14 iterations.
+
+
+For type: N5boost14multiprecision6numberINS0_8backends13cpp_bin_floatILj50ELNS2_15digit_base_typeE10EviLi0ELi0EEELNS0_26expression_template_optionE1EEE,
+epsilon = 5.3455294202e-51,
+the maximum theoretical precision from Brent's minimization is 7.3113127550e-26
+Displaying to std::numeric_limits<T>::digits10 11, significant decimal digits.
+x at minimum = 1.0000000000, f(1.0000000000) = 5.6273022713e-58,
+met 84 bits precision, after 14 iterations.
+x == 1 (compared to uncertainty 7.3113127550e-26) is true
+f(x) == (0 compared to uncertainty 7.3113127550e-26) is true
+
+*/
diff --git a/src/boost/libs/math/example/c_error_policy_example.cpp b/src/boost/libs/math/example/c_error_policy_example.cpp
new file mode 100644
index 00000000..6d5b2158
--- /dev/null
+++ b/src/boost/libs/math/example/c_error_policy_example.cpp
@@ -0,0 +1,83 @@
+// C_error_policy_example.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Suppose we want a call to tgamma  to behave in a C-compatible way
+// and set global ::errno rather than throw an exception.
+
+#include <cerrno> // for ::errno
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+
+using boost::math::policies::policy;
+// Possible errors
+using boost::math::policies::overflow_error;
+using boost::math::policies::underflow_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::pole_error;
+using boost::math::policies::denorm_error;
+using boost::math::policies::evaluation_error;
+
+using boost::math::policies::errno_on_error;
+using boost::math::policies::ignore_error;
+
+//using namespace boost::math::policies;
+//using namespace boost::math; // avoid potential ambiuity with std:: <random>
+
+// Define a policy:
+typedef policy<
+      domain_error<errno_on_error>, // 'bad' arguments.
+      pole_error<errno_on_error>, // argument is pole value.
+      overflow_error<errno_on_error>, // argument value causes overflow.
+      evaluation_error<errno_on_error>  // evaluation does not converge and may be inaccurate, or worse,
+      // or there is no way  known (yet) to implement this evaluation,
+      // for example, kurtosis of non-central beta distribution.
+      > C_error_policy;
+
+// std
+#include <iostream>
+   using std::cout;
+   using std::endl;   
+
+int main()
+{
+  // We can achieve this at the function call site
+  // with the previously defined policy C_error_policy.
+  double t = tgamma(4., C_error_policy());
+  cout << "tgamma(4., C_error_policy() = " << t << endl; // 6
+
+  // Alternatively we could use the function make_policy,
+  // provided for convenience,
+  // and define everything at the call site:
+  t = tgamma(4., make_policy(
+         domain_error<errno_on_error>(), 
+         pole_error<errno_on_error>(),
+         overflow_error<errno_on_error>(),
+         evaluation_error<errno_on_error>() 
+      ));
+  cout << "tgamma(4., make_policy(...) = " << t << endl; // 6
+
+  return 0;
+} // int main()
+
+/*
+
+Output
+
+  c_error_policy_example.cpp
+  Generating code
+  Finished generating code
+  c_error_policy_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\c_error_policy_example.exe
+  tgamma(4., C_error_policy() = 6
+  tgamma(4., make_policy(...) = 6
+  tgamma(4., C_error_policy() = 6
+  tgamma(4., make_policy(...) = 6
+
+*/
diff --git a/src/boost/libs/math/example/cardinal_cubic_b_spline_example.cpp b/src/boost/libs/math/example/cardinal_cubic_b_spline_example.cpp
new file mode 100644
index 00000000..3a709f44
--- /dev/null
+++ b/src/boost/libs/math/example/cardinal_cubic_b_spline_example.cpp
@@ -0,0 +1,147 @@
+// Copyright Nicholas Thompson 2017.
+// Copyright Paul A. Bristow 2017.
+// Copyright John Maddock 2017.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+#include <cmath>
+#include <random>
+#include <cstdint>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/math/tools/roots.hpp>
+
+//[cubic_b_spline_example
+
+/*`This example demonstrates how to use the cubic b spline interpolator for regularly spaced data.
+*/
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+
+int main()
+{
+    // We begin with an array of samples:
+    std::vector<double> v(500);
+    // And decide on a stepsize:
+    double step = 0.01;
+
+    // Initialize the vector with a function we'd like to interpolate:
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(i*step);
+    }
+    // We could define an arbitrary start time, but for now we'll just use 0:
+    boost::math::interpolators::cardinal_cubic_b_spline<double> spline(v.data(), v.size(), 0 /* start time */, step);
+
+    // Now we can evaluate the spline wherever we please.
+    std::mt19937 gen;
+    boost::random::uniform_real_distribution<double> absissa(0, v.size()*step);
+    for (size_t i = 0; i < 10; ++i)
+    {
+        double x = absissa(gen);
+        std::cout << "sin(" << x << ") = " << sin(x) << ", spline interpolation gives " << spline(x) << std::endl;
+        std::cout << "cos(" << x << ") = " << cos(x) << ", spline derivative interpolation gives " << spline.prime(x) << std::endl;
+    }
+
+    // The next example is less trivial:
+    // We will try to figure out when the population of the United States crossed 100 million.
+    // Since the census is taken every 10 years, the data is equally spaced, so we can use the cubic b spline.
+    // Data taken from https://en.wikipedia.org/wiki/United_States_Census
+    // We'll start at the year 1860:
+    double t0 = 1860;
+    double time_step = 10;
+    std::vector<double> population{31443321,  /* 1860 */
+                                   39818449,  /* 1870 */
+                                   50189209,  /* 1880 */
+                                   62947714,  /* 1890 */
+                                   76212168,  /* 1900 */
+                                   92228496,  /* 1910 */
+                                   106021537, /* 1920 */
+                                   122775046, /* 1930 */
+                                   132164569, /* 1940 */
+                                   150697361, /* 1950 */
+                                   179323175};/* 1960 */
+
+    // An eyeball estimate indicates that the population crossed 100 million around 1915.
+    // Let's see what interpolation says:
+    boost::math::interpolators::cardinal_cubic_b_spline<double> p(population.data(), population.size(), t0, time_step);
+
+    // Now create a function which has a zero at p = 100,000,000:
+    auto f = [=](double t){ return p(t) - 100000000; };
+
+    // Boost includes a bisection algorithm, which is robust, though not as fast as some others
+    // we provide, but let's try that first.  We need a termination condition for it, which
+    // takes the two endpoints of the range and returns either true (stop) or false (keep going),
+    // we could use a predefined one such as boost::math::tools::eps_tolerance<double>, but that
+    // won't stop until we have full double precision which is overkill, since we just need the
+    // endpoint to yield the same month.  While we're at it, we'll keep track of the number of
+    // iterations required too, though this is strictly optional:
+
+    auto termination = [](double left, double right)
+    {
+       double left_month = std::round((left - std::floor(left)) * 12 + 1);
+       double right_month = std::round((right - std::floor(right)) * 12 + 1);
+       return (left_month == right_month) && (std::floor(left) == std::floor(right));
+    };
+    std::uintmax_t iterations = 1000;
+    auto result =  boost::math::tools::bisect(f, 1910.0, 1920.0, termination, iterations);
+    auto time = result.first;  // termination condition ensures that both endpoints yield the same result
+    auto month = std::round((time - std::floor(time))*12  + 1);
+    auto year = std::floor(time);
+    std::cout << "The population of the United States surpassed 100 million on the ";
+    std::cout << month << "th month of " << year << std::endl;
+    std::cout << "Found in " << iterations << " iterations" << std::endl;
+
+    // Since the cubic B spline offers the first derivative, we could equally have used Newton iterations,
+    // this takes "number of bits correct" as a termination condition - 20 should be plenty for what we need,
+    // and once again, we track how many iterations are taken:
+
+    auto f_n = [=](double t) { return std::make_pair(p(t) - 100000000, p.prime(t)); };
+    iterations = 1000;
+    time = boost::math::tools::newton_raphson_iterate(f_n, 1910.0, 1900.0, 2000.0, 20, iterations);
+    month = std::round((time - std::floor(time))*12  + 1);
+    year = std::floor(time);
+    std::cout << "The population of the United States surpassed 100 million on the ";
+    std::cout << month << "th month of " << year << std::endl;
+    std::cout << "Found in " << iterations << " iterations" << std::endl;
+
+}
+
+//] [/cubic_b_spline_example]
+
+//[cubic_b_spline_example_out
+/*` Program output is:
+[pre
+sin(4.07362) = -0.802829, spline interpolation gives - 0.802829
+cos(4.07362) = -0.596209, spline derivative interpolation gives - 0.596209
+sin(0.677385) = 0.626758, spline interpolation gives 0.626758
+cos(0.677385) = 0.779214, spline derivative interpolation gives 0.779214
+sin(4.52896) = -0.983224, spline interpolation gives - 0.983224
+cos(4.52896) = -0.182402, spline derivative interpolation gives - 0.182402
+sin(4.17504) = -0.85907, spline interpolation gives - 0.85907
+cos(4.17504) = -0.511858, spline derivative interpolation gives - 0.511858
+sin(0.634934) = 0.593124, spline interpolation gives 0.593124
+cos(0.634934) = 0.805111, spline derivative interpolation gives 0.805111
+sin(4.84434) = -0.991307, spline interpolation gives - 0.991307
+cos(4.84434) = 0.131567, spline derivative interpolation gives 0.131567
+sin(4.56688) = -0.989432, spline interpolation gives - 0.989432
+cos(4.56688) = -0.144997, spline derivative interpolation gives - 0.144997
+sin(1.10517) = 0.893541, spline interpolation gives 0.893541
+cos(1.10517) = 0.448982, spline derivative interpolation gives 0.448982
+sin(3.1618) = -0.0202022, spline interpolation gives - 0.0202022
+cos(3.1618) = -0.999796, spline derivative interpolation gives - 0.999796
+sin(1.54084) = 0.999551, spline interpolation gives 0.999551
+cos(1.54084) = 0.0299566, spline derivative interpolation gives 0.0299566
+The population of the United States surpassed 100 million on the 11th month of 1915
+Found in 12 iterations
+The population of the United States surpassed 100 million on the 11th month of 1915
+Found in 3 iterations
+]
+*/
+//]
diff --git a/src/boost/libs/math/example/catmull_rom_example.cpp b/src/boost/libs/math/example/catmull_rom_example.cpp
new file mode 100644
index 00000000..69a49707
--- /dev/null
+++ b/src/boost/libs/math/example/catmull_rom_example.cpp
@@ -0,0 +1,45 @@
+// Copyright Nick Thompson, 2017
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#include <iostream>
+#include <vector>
+#include <array>
+#include <cmath>
+#include <boost/math/interpolators/catmull_rom.hpp>
+#include <boost/math/constants/constants.hpp>
+
+using std::sin;
+using std::cos;
+using boost::math::catmull_rom;
+
+int main()
+{
+    std::cout << "This shows how to use Boost's Catmull-Rom spline to create an Archimedean spiral.\n";
+
+    // The Archimedean spiral is given by r = a*theta. We have set a = 1.
+    std::vector<std::array<double, 2>> spiral_points(500);
+    double theta_max = boost::math::constants::pi<double>();
+    for (size_t i = 0; i < spiral_points.size(); ++i)
+    {
+        double theta = ((double) i/ (double) spiral_points.size())*theta_max;
+        spiral_points[i] = {theta*cos(theta), theta*sin(theta)};
+    }
+
+    auto archimedean = catmull_rom<std::array<double,2>>(std::move(spiral_points));
+    double max_s = archimedean.max_parameter();
+    std::cout << "Max s = " << max_s << std::endl;
+    for (double s = 0; s < max_s; s += 0.01)
+    {
+        auto p = archimedean(s);
+        double x = p[0];
+        double y = p[1];
+        double r = sqrt(x*x + y*y);
+        double theta = atan2(y/r, x/r);
+        std::cout << "r = " << r << ", theta = " << theta << ", r - theta = " << r - theta << std::endl;
+    }
+
+    return 0;
+}
diff --git a/src/boost/libs/math/example/chi_square_std_dev_test.cpp b/src/boost/libs/math/example/chi_square_std_dev_test.cpp
new file mode 100644
index 00000000..e9747a3f
--- /dev/null
+++ b/src/boost/libs/math/example/chi_square_std_dev_test.cpp
@@ -0,0 +1,555 @@
+// Copyright John Maddock 2006, 2007
+// Copyright Paul A. Bristow 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+using std::cout; using std::endl;
+using std::left; using std::fixed; using std::right; using std::scientific;
+#include <iomanip>
+using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/chi_squared.hpp>
+
+int error_result = 0;
+
+void confidence_limits_on_std_deviation(
+        double Sd,    // Sample Standard Deviation
+        unsigned N)   // Sample size
+{
+   // Calculate confidence intervals for the standard deviation.
+   // For example if we set the confidence limit to
+   // 0.95, we know that if we repeat the sampling
+   // 100 times, then we expect that the true standard deviation
+   // will be between out limits on 95 occations.
+   // Note: this is not the same as saying a 95%
+   // confidence interval means that there is a 95%
+   // probability that the interval contains the true standard deviation.
+   // The interval computed from a given sample either
+   // contains the true standard deviation or it does not.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm
+
+   // using namespace boost::math; // potential name ambiguity with std <random>
+   using boost::math::chi_squared;
+   using boost::math::quantile;
+   using boost::math::complement;
+
+   // Print out general info:
+   cout <<
+      "________________________________________________\n"
+      "2-Sided Confidence Limits For Standard Deviation\n"
+      "________________________________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Number of Observations" << "=  " << N << "\n";
+   cout << setw(40) << left << "Standard Deviation" << "=  " << Sd << "\n";
+   //
+   // Define a table of significance/risk levels:
+   double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Start by declaring the distribution we'll need:
+   chi_squared dist(N - 1);
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "_____________________________________________\n"
+           "Confidence          Lower          Upper\n"
+           " Value (%)          Limit          Limit\n"
+           "_____________________________________________\n";
+   //
+   // Now print out the data for the table rows.
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // Calculate limits:
+      double lower_limit = sqrt((N - 1) * Sd * Sd / quantile(complement(dist, alpha[i] / 2)));
+      double upper_limit = sqrt((N - 1) * Sd * Sd / quantile(dist, alpha[i] / 2));
+      // Print Limits:
+      cout << fixed << setprecision(5) << setw(15) << right << lower_limit;
+      cout << fixed << setprecision(5) << setw(15) << right << upper_limit << endl;
+   }
+   cout << endl;
+} // void confidence_limits_on_std_deviation
+
+void confidence_limits_on_std_deviation_alpha(
+        double Sd,    // Sample Standard Deviation
+        double alpha  // confidence
+        )
+{  // Calculate confidence intervals for the standard deviation.
+   // for the alpha parameter, for a range number of observations,
+   // from a mere 2 up to a million.
+   // O. L. Davies, Statistical Methods in Research and Production, ISBN 0 05 002437 X,
+   // 4.33 Page 68, Table H, pp 452 459.
+
+   //   using namespace std;
+   // using namespace boost::math;
+   using boost::math::chi_squared;
+   using boost::math::quantile;
+   using boost::math::complement;
+
+   // Define a table of numbers of observations:
+   unsigned int obs[] = {2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20, 30, 40 , 50, 60, 100, 120, 1000, 10000, 50000, 100000, 1000000};
+
+   cout <<   // Print out heading:
+      "________________________________________________\n"
+      "2-Sided Confidence Limits For Standard Deviation\n"
+      "________________________________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Confidence level (two-sided) " << "=  " << alpha << "\n";
+   cout << setw(40) << left << "Standard Deviation" << "=  " << Sd << "\n";
+
+   cout << "\n\n"      // Print table header:
+            "_____________________________________________\n"
+           "Observations        Lower          Upper\n"
+           "                    Limit          Limit\n"
+           "_____________________________________________\n";
+    for(unsigned i = 0; i < sizeof(obs)/sizeof(obs[0]); ++i)
+   {
+     unsigned int N = obs[i]; // Observations
+     // Start by declaring the distribution with the appropriate :
+     chi_squared dist(N - 1);
+
+     // Now print out the data for the table row.
+      cout << fixed << setprecision(3) << setw(10) << right << N;
+      // Calculate limits: (alpha /2 because it is a two-sided (upper and lower limit) test.
+      double lower_limit = sqrt((N - 1) * Sd * Sd / quantile(complement(dist, alpha / 2)));
+      double upper_limit = sqrt((N - 1) * Sd * Sd / quantile(dist, alpha / 2));
+      // Print Limits:
+      cout << fixed << setprecision(4) << setw(15) << right << lower_limit;
+      cout << fixed << setprecision(4) << setw(15) << right << upper_limit << endl;
+   }
+   cout << endl;
+}// void confidence_limits_on_std_deviation_alpha
+
+void chi_squared_test(
+       double Sd,     // Sample std deviation
+       double D,      // True std deviation
+       unsigned N,    // Sample size
+       double alpha)  // Significance level
+{
+   //
+   // A Chi Squared test applied to a single set of data.
+   // We are testing the null hypothesis that the true
+   // standard deviation of the sample is D, and that any variation is down
+   // to chance.  We can also test the alternative hypothesis
+   // that any difference is not down to chance.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm
+   //
+   // using namespace boost::math;
+   using boost::math::chi_squared;
+   using boost::math::quantile;
+   using boost::math::complement;
+   using boost::math::cdf;
+
+   // Print header:
+   cout <<
+      "______________________________________________\n"
+      "Chi Squared test for sample standard deviation\n"
+      "______________________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(55) << left << "Number of Observations" << "=  " << N << "\n";
+   cout << setw(55) << left << "Sample Standard Deviation" << "=  " << Sd << "\n";
+   cout << setw(55) << left << "Expected True Standard Deviation" << "=  " << D << "\n\n";
+   //
+   // Now we can calculate and output some stats:
+   //
+   // test-statistic:
+   double t_stat = (N - 1) * (Sd / D) * (Sd / D);
+   cout << setw(55) << left << "Test Statistic" << "=  " << t_stat << "\n";
+   //
+   // Finally define our distribution, and get the probability:
+   //
+   chi_squared dist(N - 1);
+   double p = cdf(dist, t_stat);
+   cout << setw(55) << left << "CDF of test statistic: " << "=  "
+      << setprecision(3) << scientific << p << "\n";
+   double ucv = quantile(complement(dist, alpha));
+   double ucv2 = quantile(complement(dist, alpha / 2));
+   double lcv = quantile(dist, alpha);
+   double lcv2 = quantile(dist, alpha / 2);
+   cout << setw(55) << left << "Upper Critical Value at alpha: " << "=  "
+      << setprecision(3) << scientific << ucv << "\n";
+   cout << setw(55) << left << "Upper Critical Value at alpha/2: " << "=  "
+      << setprecision(3) << scientific << ucv2 << "\n";
+   cout << setw(55) << left << "Lower Critical Value at alpha: " << "=  "
+      << setprecision(3) << scientific << lcv << "\n";
+   cout << setw(55) << left << "Lower Critical Value at alpha/2: " << "=  "
+      << setprecision(3) << scientific << lcv2 << "\n\n";
+   //
+   // Finally print out results of alternative hypothesis:
+   //
+   cout << setw(55) << left <<
+      "Results for Alternative Hypothesis and alpha" << "=  "
+      << setprecision(4) << fixed << alpha << "\n\n";
+   cout << "Alternative Hypothesis              Conclusion\n";
+   cout << "Standard Deviation != " << setprecision(3) << fixed << D << "            ";
+   if((ucv2 < t_stat) || (lcv2 > t_stat))
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Standard Deviation  < " << setprecision(3) << fixed << D << "            ";
+   if(lcv > t_stat)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Standard Deviation  > " << setprecision(3) << fixed << D << "            ";
+   if(ucv < t_stat)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << endl << endl;
+} // void chi_squared_test
+
+void chi_squared_sample_sized(
+        double diff,      // difference from variance to detect
+        double variance)  // true variance
+{
+   using namespace std;
+   // using boost::math;
+   using boost::math::chi_squared;
+   using boost::math::quantile;
+   using boost::math::complement;
+   using boost::math::cdf;
+
+   try
+   {
+   cout <<   // Print out general info:
+     "_____________________________________________________________\n"
+      "Estimated sample sizes required for various confidence levels\n"
+      "_____________________________________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(40) << left << "True Variance" << "=  " << variance << "\n";
+   cout << setw(40) << left << "Difference to detect" << "=  " << diff << "\n";
+   //
+   // Define a table of significance levels:
+   //
+   double alpha[] = { 0.5, 0.33333333333333333333333, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "_______________________________________________________________\n"
+           "Confidence       Estimated          Estimated\n"
+           " Value (%)      Sample Size        Sample Size\n"
+           "                (lower one-         (upper one-\n"
+           "                 sided test)        sided test)\n"
+           "_______________________________________________________________\n";
+   //
+   // Now print out the data for the table rows.
+   //
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // Calculate df for a lower single-sided test:
+      double df = chi_squared::find_degrees_of_freedom(
+         -diff, alpha[i], alpha[i], variance);
+      // Convert to integral sample size (df is a floating point value in this implementation):
+      double size = ceil(df) + 1;
+      // Print size:
+      cout << fixed << setprecision(0) << setw(16) << right << size;
+      // Calculate df for an upper single-sided test:
+      df = chi_squared::find_degrees_of_freedom(
+         diff, alpha[i], alpha[i], variance);
+      // Convert to integral sample size:
+      size = ceil(df) + 1;
+      // Print size:
+      cout << fixed << setprecision(0) << setw(16) << right << size << endl;
+   }
+   cout << endl;
+   }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+    ++error_result;
+  }
+} // chi_squared_sample_sized
+
+int main()
+{
+   // Run tests for Gear data
+   // see http://www.itl.nist.gov/div898/handbook/eda/section3/eda3581.htm
+   // Tests measurements of gear diameter.
+   //
+   confidence_limits_on_std_deviation(0.6278908E-02, 100);
+   chi_squared_test(0.6278908E-02, 0.1, 100, 0.05);
+   chi_squared_sample_sized(0.1 - 0.6278908E-02, 0.1);
+   //
+   // Run tests for silicon wafer fabrication data.
+   // see http://www.itl.nist.gov/div898/handbook/prc/section2/prc23.htm
+   // A supplier of 100 ohm.cm silicon wafers claims that his fabrication
+   // process can produce wafers with sufficient consistency so that the
+   // standard deviation of resistivity for the lot does not exceed
+   // 10 ohm.cm. A sample of N = 10 wafers taken from the lot has a
+   // standard deviation of 13.97 ohm.cm
+   //
+   confidence_limits_on_std_deviation(13.97, 10);
+   chi_squared_test(13.97, 10.0, 10, 0.05);
+   chi_squared_sample_sized(13.97 * 13.97 - 100, 100);
+   chi_squared_sample_sized(55, 100);
+   chi_squared_sample_sized(1, 100);
+
+   // List confidence interval multipliers for standard deviation
+   // for a range of numbers of observations from 2 to a million,
+   // and for a few alpha values, 0.1, 0.05, 0.01 for condfidences 90, 95, 99 %
+   confidence_limits_on_std_deviation_alpha(1., 0.1);
+   confidence_limits_on_std_deviation_alpha(1., 0.05);
+   confidence_limits_on_std_deviation_alpha(1., 0.01);
+
+   return error_result;
+}
+
+/*
+
+________________________________________________
+2-Sided Confidence Limits For Standard Deviation
+________________________________________________
+Number of Observations                  =  100
+Standard Deviation                      =  0.006278908
+_____________________________________________
+Confidence          Lower          Upper
+ Value (%)          Limit          Limit
+_____________________________________________
+    50.000        0.00601        0.00662
+    75.000        0.00582        0.00685
+    90.000        0.00563        0.00712
+    95.000        0.00551        0.00729
+    99.000        0.00530        0.00766
+    99.900        0.00507        0.00812
+    99.990        0.00489        0.00855
+    99.999        0.00474        0.00895
+______________________________________________
+Chi Squared test for sample standard deviation
+______________________________________________
+Number of Observations                                 =  100
+Sample Standard Deviation                              =  0.00628
+Expected True Standard Deviation                       =  0.10000
+Test Statistic                                         =  0.39030
+CDF of test statistic:                                 =  1.438e-099
+Upper Critical Value at alpha:                         =  1.232e+002
+Upper Critical Value at alpha/2:                       =  1.284e+002
+Lower Critical Value at alpha:                         =  7.705e+001
+Lower Critical Value at alpha/2:                       =  7.336e+001
+Results for Alternative Hypothesis and alpha           =  0.0500
+Alternative Hypothesis              Conclusion
+Standard Deviation != 0.100            NOT REJECTED
+Standard Deviation  < 0.100            NOT REJECTED
+Standard Deviation  > 0.100            REJECTED
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+True Variance                           =  0.10000
+Difference to detect                    =  0.09372
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+                (lower one-         (upper one-
+                 sided test)        sided test)
+_______________________________________________________________
+    50.000               2               2
+    66.667               2               5
+    75.000               2              10
+    90.000               4              32
+    95.000               5              52
+    99.000               8             102
+    99.900              13             178
+    99.990              18             257
+    99.999              23             337
+________________________________________________
+2-Sided Confidence Limits For Standard Deviation
+________________________________________________
+Number of Observations                  =  10
+Standard Deviation                      =  13.9700000
+_____________________________________________
+Confidence          Lower          Upper
+ Value (%)          Limit          Limit
+_____________________________________________
+    50.000       12.41880       17.25579
+    75.000       11.23084       19.74131
+    90.000       10.18898       22.98341
+    95.000        9.60906       25.50377
+    99.000        8.62898       31.81825
+    99.900        7.69466       42.51593
+    99.990        7.04085       55.93352
+    99.999        6.54517       73.00132
+______________________________________________
+Chi Squared test for sample standard deviation
+______________________________________________
+Number of Observations                                 =  10
+Sample Standard Deviation                              =  13.97000
+Expected True Standard Deviation                       =  10.00000
+Test Statistic                                         =  17.56448
+CDF of test statistic:                                 =  9.594e-001
+Upper Critical Value at alpha:                         =  1.692e+001
+Upper Critical Value at alpha/2:                       =  1.902e+001
+Lower Critical Value at alpha:                         =  3.325e+000
+Lower Critical Value at alpha/2:                       =  2.700e+000
+Results for Alternative Hypothesis and alpha           =  0.0500
+Alternative Hypothesis              Conclusion
+Standard Deviation != 10.000            REJECTED
+Standard Deviation  < 10.000            REJECTED
+Standard Deviation  > 10.000            NOT REJECTED
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+True Variance                           =  100.00000
+Difference to detect                    =  95.16090
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+                (lower one-         (upper one-
+                 sided test)        sided test)
+_______________________________________________________________
+    50.000               2               2
+    66.667               2               5
+    75.000               2              10
+    90.000               4              32
+    95.000               5              51
+    99.000               7              99
+    99.900              11             174
+    99.990              15             251
+    99.999              20             330
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+True Variance                           =  100.00000
+Difference to detect                    =  55.00000
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+                (lower one-         (upper one-
+                 sided test)        sided test)
+_______________________________________________________________
+    50.000               2               2
+    66.667               4              10
+    75.000               8              21
+    90.000              23              71
+    95.000              36             115
+    99.000              71             228
+    99.900             123             401
+    99.990             177             580
+    99.999             232             762
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+True Variance                           =  100.00000
+Difference to detect                    =  1.00000
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+                (lower one-         (upper one-
+                 sided test)        sided test)
+_______________________________________________________________
+    50.000               2               2
+    66.667           14696           14993
+    75.000           36033           36761
+    90.000          130079          132707
+    95.000          214283          218612
+    99.000          428628          437287
+    99.900          756333          771612
+    99.990         1095435         1117564
+    99.999         1440608         1469711
+________________________________________________
+2-Sided Confidence Limits For Standard Deviation
+________________________________________________
+Confidence level (two-sided)            =  0.1000000
+Standard Deviation                      =  1.0000000
+_____________________________________________
+Observations        Lower          Upper
+                    Limit          Limit
+_____________________________________________
+         2         0.5102        15.9472
+         3         0.5778         4.4154
+         4         0.6196         2.9200
+         5         0.6493         2.3724
+         6         0.6720         2.0893
+         7         0.6903         1.9154
+         8         0.7054         1.7972
+         9         0.7183         1.7110
+        10         0.7293         1.6452
+        15         0.7688         1.4597
+        20         0.7939         1.3704
+        30         0.8255         1.2797
+        40         0.8454         1.2320
+        50         0.8594         1.2017
+        60         0.8701         1.1805
+       100         0.8963         1.1336
+       120         0.9045         1.1203
+      1000         0.9646         1.0383
+     10000         0.9885         1.0118
+     50000         0.9948         1.0052
+    100000         0.9963         1.0037
+   1000000         0.9988         1.0012
+________________________________________________
+2-Sided Confidence Limits For Standard Deviation
+________________________________________________
+Confidence level (two-sided)            =  0.0500000
+Standard Deviation                      =  1.0000000
+_____________________________________________
+Observations        Lower          Upper
+                    Limit          Limit
+_____________________________________________
+         2         0.4461        31.9102
+         3         0.5207         6.2847
+         4         0.5665         3.7285
+         5         0.5991         2.8736
+         6         0.6242         2.4526
+         7         0.6444         2.2021
+         8         0.6612         2.0353
+         9         0.6755         1.9158
+        10         0.6878         1.8256
+        15         0.7321         1.5771
+        20         0.7605         1.4606
+        30         0.7964         1.3443
+        40         0.8192         1.2840
+        50         0.8353         1.2461
+        60         0.8476         1.2197
+       100         0.8780         1.1617
+       120         0.8875         1.1454
+      1000         0.9580         1.0459
+     10000         0.9863         1.0141
+     50000         0.9938         1.0062
+    100000         0.9956         1.0044
+   1000000         0.9986         1.0014
+________________________________________________
+2-Sided Confidence Limits For Standard Deviation
+________________________________________________
+Confidence level (two-sided)            =  0.0100000
+Standard Deviation                      =  1.0000000
+_____________________________________________
+Observations        Lower          Upper
+                    Limit          Limit
+_____________________________________________
+         2         0.3562       159.5759
+         3         0.4344        14.1244
+         4         0.4834         6.4675
+         5         0.5188         4.3960
+         6         0.5464         3.4848
+         7         0.5688         2.9798
+         8         0.5875         2.6601
+         9         0.6036         2.4394
+        10         0.6177         2.2776
+        15         0.6686         1.8536
+        20         0.7018         1.6662
+        30         0.7444         1.4867
+        40         0.7718         1.3966
+        50         0.7914         1.3410
+        60         0.8065         1.3026
+       100         0.8440         1.2200
+       120         0.8558         1.1973
+      1000         0.9453         1.0609
+     10000         0.9821         1.0185
+     50000         0.9919         1.0082
+    100000         0.9943         1.0058
+   1000000         0.9982         1.0018
+*/
+
diff --git a/src/boost/libs/math/example/constants_eg1.cpp b/src/boost/libs/math/example/constants_eg1.cpp
new file mode 100644
index 00000000..53516145
--- /dev/null
+++ b/src/boost/libs/math/example/constants_eg1.cpp
@@ -0,0 +1,192 @@
+// Copyright Paul Bristow 2013.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+/*! \brief Examples of using the enhanced math constants.
+    \details This allows for access to constants via functions like @c pi(),
+    and also via namespaces, @c using @c namespace boost::math::double_constants;
+    called simply @c pi.
+*/
+
+#include <boost/math/constants/constants.hpp>
+
+#include <iostream>
+using std::cout;
+using std::endl;
+
+#include <limits>
+using std::numeric_limits;
+
+/*! \brief Examples of a template function using constants.
+    \details This example shows using of constants from function calls like @c pi(),
+    rather than the 'cute' plain @c pi use in non-template applications.
+
+    \tparam Real radius parameter that can be a built-in like float, double,
+      or a user-defined type like multiprecision.
+    \returns Area = pi * radius ^ 2
+*/
+
+//[math_constants_eg1
+template<class Real>
+Real area(Real r)
+{
+  using namespace boost::math::constants;
+
+  return pi<Real>() * r * r;
+}
+//] [/math_constants_eg1]
+
+int main()
+{
+
+  { // Boost.Math constants using function calls like pi().
+    // using namespace boost::math::constants;
+
+   using boost::math::constants::pi;
+   using boost::math::constants::one_div_two_pi;
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+     std::size_t max_digits10 = 2 + std::numeric_limits<double>::digits * 3010/10000;
+#else
+   std::size_t max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+
+  std::cout.precision(max_digits10);
+  cout << "double pi =  boost::math::double_constants::pi = " << pi<double>() << endl;
+  //   double pi =  boost::math::double_constants::pi = 3.1415926535897931
+  double r = 1.234567890123456789;
+  double d = pi<double>() * r * r;
+
+  cout << "d = " << d << ", r = " << r << endl;
+
+  float rf = 0.987654321987654321f;
+
+  float pif = boost::math::constants::pi<float>();
+  cout << "pidf =  boost::math::constants::pi() = " << pif << endl;
+  //   pidf =  boost::math::float_constants::pi = 3.1415927410125732
+
+    //float df = pi * rf * rf; // conversion from 'const double' to 'float', possible loss of data.
+  float df = pif * rf * rf;
+
+  cout << "df = " << df << ", rf = " << rf << endl;
+
+  cout << "one_div_two_pi " << one_div_two_pi<double>() << endl;
+
+  using boost::math::constants::one_div_two_pi;
+
+  cout << "one_div_root_two_pi " << one_div_two_pi<double>() << endl;
+  }
+
+  { // Boost math new constants using namespace selected values, like pi.
+
+    //using namespace boost::math::float_constants;
+    using namespace boost::math::double_constants;
+
+    double my2pi = two_pi; // Uses boost::math::double_constants::two_pi;
+
+    cout << "double my2pi = " << my2pi << endl;
+
+    using boost::math::float_constants::e;
+    float my_e = e;
+    cout << "float my_e  " << my_e << endl;
+
+    double my_pi = boost::math::double_constants::pi;
+    cout << "double my_pi = boost::math::double_constants::pi =  " << my_pi << endl;
+
+    // If you try to use two namespaces, this may, of course, create ambiguity:
+    // it is not too difficult to do this inadvertently.
+    using namespace boost::math::float_constants;
+    //cout << pi << endl; // error C2872: 'pi' : ambiguous symbol.
+
+  }
+  {
+
+//[math_constants_ambiguity
+     // If you use more than one namespace, this will, of course, create ambiguity:
+     using namespace boost::math::double_constants;
+     using namespace boost::math::constants;
+
+      //double my_pi = pi(); // error C2872: 'pi' : ambiguous symbol
+      //double my_pi2 = pi; // Context does not allow for disambiguation of overloaded function
+
+     // It is also possible to create ambiguity inadvertently,
+     // perhaps in other peoples code,
+     // by making the scope of a namespace declaration wider than necessary,
+     // therefore is it prudent to avoid this risk by localising the scope of such definitions.
+//] [/math_constants_ambiguity]
+
+  }
+
+  { // You can, of course, use both methods of access if both are fully qualified, for examples:
+
+    //cout.precision(std::numeric_limits<double>::max_digits10);// Ideally.
+    cout.precision(2 + std::numeric_limits<double>::digits * 3010/10000); // If no max_digits10.
+
+    double my_pi1 = boost::math::constants::pi<double>();
+    double my_pid = boost::math::double_constants::pi;
+    cout << "boost::math::constants::pi<double>() = " << my_pi1 << endl
+         << "boost::math::double_constants::pi = " << my_pid << endl;
+
+    // cout.precision(std::numeric_limits<float>::max_digits10); // Ideally.
+    cout.precision(2 + std::numeric_limits<double>::digits * 3010/10000); // If no max_digits10.
+    float my_pif = boost::math::float_constants::pi;
+    cout << "boost::math::float_constants::pi = " << my_pif << endl;
+
+  }
+
+  { // Use with templates
+
+    // \warning it is important to be very careful with the type provided as parameter.
+    // For example, naively providing an @b integer instead of a floating-point type can be disastrous.
+    // cout << "Area = " << area(2) << endl; // warning : 'return' : conversion from 'double' to 'int', possible loss of data
+    // Failure to heed this warning can lead to very wrong answers!
+    //  Area = 12 !!  = 3 * 2 * 2
+//[math_constants_template_integer_type
+    //cout << "Area = " << area(2) << endl; //   Area = 12!
+    cout << "Area = " << area(2.) << endl;  //   Area = 12.566371
+
+    // You can also avoid this by being explicit about the type of @c area.
+    cout << "Area = " << area<double>(2) << endl;
+
+//] [/math_constants_template_integer_type]
+
+
+  }
+/*
+{
+    using  boost::math::constants::pi;
+    //double my_pi3 = pi<double>(); // OK
+    //double my_pi4 = pi<>(); cannot find template type.
+    //double my_pi4 = pi(); // Can't find a function.
+
+  }
+*/
+
+} // int main()
+
+/*[constants_eq1_output
+
+Output:
+
+  double pi =  boost::math::double_constants::pi = 3.1415926535897931
+  d = 4.7882831840285398, r = 1.2345678901234567
+  pidf =  boost::math::constants::pi() = 3.1415927410125732
+  df = 3.0645015239715576, rf = 0.98765432834625244
+  one_div_two_pi 0.15915494309189535
+  one_div_root_two_pi 0.15915494309189535
+  double my2pi = 6.2831853071795862
+  float my_e  2.7182817459106445
+  double my_pi = boost::math::double_constants::pi =  3.1415926535897931
+  boost::math::constants::pi<double>() = 3.1415926535897931
+  boost::math::double_constants::pi = 3.1415926535897931
+  boost::math::float_constants::pi = 3.1415927410125732
+  Area = 12.566370614359172
+  Area = 12.566370614359172
+
+
+] [/constants_eq1_output]
+*/
diff --git a/src/boost/libs/math/example/continued_fractions.cpp b/src/boost/libs/math/example/continued_fractions.cpp
new file mode 100644
index 00000000..23f479fc
--- /dev/null
+++ b/src/boost/libs/math/example/continued_fractions.cpp
@@ -0,0 +1,150 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/fraction.hpp>
+#include <iostream>
+#include <complex>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+//[golden_ratio_1
+template <class T>
+struct golden_ratio_fraction
+{
+   typedef T result_type;
+
+   result_type operator()()
+   {
+      return 1;
+   }
+};
+//]
+
+//[cf_tan_fraction
+template <class T>
+struct tan_fraction
+{
+private:
+   T a, b;
+public:
+   tan_fraction(T v)
+      : a(-v * v), b(-1)
+   {}
+
+   typedef std::pair<T, T> result_type;
+
+   std::pair<T, T> operator()()
+   {
+      b += 2;
+      return std::make_pair(a, b);
+   }
+};
+//]
+//[cf_tan
+template <class T>
+T tan(T a)
+{
+   tan_fraction<T> fract(a);
+   return a / continued_fraction_b(fract, std::numeric_limits<T>::epsilon());
+}
+//]
+//[cf_expint_fraction
+template <class T>
+struct expint_fraction
+{
+   typedef std::pair<T, T> result_type;
+   expint_fraction(unsigned n_, T z_) : b(z_ + T(n_)), i(-1), n(n_) {}
+   std::pair<T, T> operator()()
+   {
+      std::pair<T, T> result = std::make_pair(-static_cast<T>((i + 1) * (n + i)), b);
+      b += 2;
+      ++i;
+      return result;
+   }
+private:
+   T b;
+   int i;
+   unsigned n;
+};
+//]
+//[cf_expint
+template <class T>
+inline std::complex<T> expint_as_fraction(unsigned n, std::complex<T> const& z)
+{
+   boost::uintmax_t max_iter = 1000;
+   expint_fraction<std::complex<T> > f(n, z);
+   std::complex<T> result = boost::math::tools::continued_fraction_b(
+      f,
+      std::complex<T>(std::numeric_limits<T>::epsilon()),
+      max_iter);
+   result = exp(-z) / result;
+   return result;
+}
+//]
+//[cf_upper_gamma_fraction
+template <class T>
+struct upper_incomplete_gamma_fract
+{
+private:
+   typedef typename T::value_type scalar_type;
+   T z, a;
+   int k;
+public:
+   typedef std::pair<T, T> result_type;
+
+   upper_incomplete_gamma_fract(T a1, T z1)
+      : z(z1 - a1 + scalar_type(1)), a(a1), k(0)
+   {
+   }
+
+   result_type operator()()
+   {
+      ++k;
+      z += scalar_type(2);
+      return result_type(scalar_type(k) * (a - scalar_type(k)), z);
+   }
+};
+//]
+//[cf_gamma_Q
+template <class T>
+inline std::complex<T> gamma_Q_as_fraction(const std::complex<T>& a, const std::complex<T>& z)
+{
+   upper_incomplete_gamma_fract<std::complex<T> > f(a, z);
+   std::complex<T> eps(std::numeric_limits<T>::epsilon());
+   return pow(z, a) / (exp(z) *(z - a + T(1) + boost::math::tools::continued_fraction_a(f, eps)));
+}
+//]
+inline boost::multiprecision::cpp_complex_50 gamma_Q_as_fraction(const boost::multiprecision::cpp_complex_50& a, const boost::multiprecision::cpp_complex_50& z)
+{
+   upper_incomplete_gamma_fract<boost::multiprecision::cpp_complex_50> f(a, z);
+   boost::multiprecision::cpp_complex_50 eps(std::numeric_limits<boost::multiprecision::cpp_complex_50::value_type>::epsilon());
+   return pow(z, a) / (exp(z) * (z - a + 1 + boost::math::tools::continued_fraction_a(f, eps)));
+}
+
+
+int main()
+{
+   using namespace boost::math::tools;
+
+   //[cf_gr
+   golden_ratio_fraction<double> func;
+   double gr = continued_fraction_a(
+      func,
+      std::numeric_limits<double>::epsilon());
+   std::cout << "The golden ratio is: " << gr << std::endl;
+   //]
+
+   std::cout << tan(0.5) << std::endl;
+
+   std::complex<double> arg(3, 2);
+   std::cout << expint_as_fraction(5, arg) << std::endl;
+
+   std::complex<double> a(3, 3), z(3, 2);
+   std::cout << gamma_Q_as_fraction(a, z) << std::endl;
+
+   boost::multiprecision::cpp_complex_50 am(3, 3), zm(3, 2);
+   std::cout << gamma_Q_as_fraction(am, zm) << std::endl;
+
+   return 0;
+}
diff --git a/src/boost/libs/math/example/cstdfloat_example.cpp b/src/boost/libs/math/example/cstdfloat_example.cpp
new file mode 100644
index 00000000..761e811b
--- /dev/null
+++ b/src/boost/libs/math/example/cstdfloat_example.cpp
@@ -0,0 +1,488 @@
+//  Copyright John Maddock 2014
+//  Copyright Christopher Kormanyos 2014.
+//  Copyright Paul A. Bristow 2016.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Contains Quickbook snippets as C++ comments - do not remove.
+
+/*
+`This example shows use of a specified-width floating-point typedef
+to evaluate a moderately complex math function using
+[@http://en.wikipedia.org/wiki/Double-precision_floating-point_format IEEE754 64-bit double-precision].
+about 15 decimal digits `std::numeric_limits<boost::float64_t>::digits10`,
+(but never exceeding 17 decimal digits `std::numeric_limits<boost::float64_t>::max_digits10`).
+
+The Jahnke-Emden lambda function is described at
+
+Weisstein, Eric W. "Lambda Function." From MathWorld--A Wolfram Web Resource.
+http://mathworld.wolfram.com/LambdaFunction.html
+
+E. Jahnke and F. Emden, "Tables of Functions with Formulae and Curves,"
+Dover, New York, 4th ed., (1945), pages 180-188.
+
+*/
+
+//[cstdfloat_example_1
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#include <cmath>  // for pow function.
+#include <boost/math/special_functions.hpp> // For gamma function.
+//] [/cstdfloat_example_1]
+#include <boost/type_traits/is_same.hpp>
+
+#include <iostream>
+
+/*!
+Function max_digits10
+Returns maximum number of possibly significant decimal digits for a floating-point type FPT,
+even for older compilers/standard libraries that
+lack support for std::numeric_limits<FPT>::max_digits10,
+when the Kahan formula 2 + binary_digits * 0.3010 is used instead.
+Also provides the correct result for Visual Studio 2010
+(where the value 8 provided for float is wrong).
+*/
+namespace boost
+{
+template <typename FPT>
+const int max_digits10()
+{
+// Since max_digits10 is not defined (or wrong) on older systems, define a local max_digits10.
+  // Usage:   int m = max_digits10<boost::float64_t>();
+  const int m =
+#if (defined BOOST_NO_CXX11_NUMERIC_LIMITS) || (_MSC_VER == 1600) // is wrongly 8 not 9 for VS2010.
+  2 + std::numeric_limits<FPT>::digits * 3010/10000;
+#else
+  std::numeric_limits<FPT>::max_digits10;
+#endif
+  return m;
+}
+} // namespace boost
+
+//`Define the Jahnke-Emden_lambda function.
+//[cstdfloat_example_2
+boost::float64_t jahnke_emden_lambda(boost::float64_t v, boost::float64_t x)
+{
+  const boost::float64_t gamma_v_plus_one = boost::math::tgamma(v + 1);
+  const boost::float64_t x_half_pow_v     = std::pow(x /2, v);
+
+  return gamma_v_plus_one * boost::math::cyl_bessel_j(x, v) / x_half_pow_v;
+}
+//] [/cstdfloat_example_2]
+
+int main()
+{
+  std::cout.setf(std::ios::showpoint); // show all significant trailing zeros.
+
+    long double p = 1.L;
+  //std::cout.precision(std::numeric_limits<long double>::digits10);
+
+  std::cout << "pi = "  << p << std::endl;
+
+//[cstdfloat_example_3
+//`Ensure that all possibly significant digits (17) including trailing zeros are shown.
+
+  std::cout.precision(std::numeric_limits<boost::float64_t>::max_digits10);
+  std::cout.setf(std::ios::showpoint); // Show trailing zeros.
+
+  try
+  { // Always use try'n'catch blocks to ensure any error messages are displayed.
+
+  // Evaluate and display an evaluation of the Jahnke-Emden lambda function:
+  boost::float64_t v = 1.;
+  boost::float64_t x = 1.;
+  std::cout << jahnke_emden_lambda(v, x) << std::endl; // 0.88010117148986700
+//] [/cstdfloat_example_3]
+
+  // We can show some evaluations with various precisions:
+  { // float64_t
+    for (int i = 0; i < 10; i++)
+    {
+      std::cout << std::setprecision(2) << boost::float64_t(i) << ' '
+        << std::setprecision(std::numeric_limits<boost::float64_t>::max_digits10)
+        << jahnke_emden_lambda(boost::float64_t(i), v) << std::endl; //
+    }
+  }
+  { // floatmax_t = the maximum available on this platform.
+    for (int i = 0; i < 10; i++)
+    {
+      std::cout << std::setprecision(2) << boost::floatmax_t(i) << ' '
+        << std::setprecision(std::numeric_limits<boost::floatmax_t>::max_digits10)
+        << jahnke_emden_lambda(boost::floatmax_t(i), v) << std::endl; //
+    }
+  }
+  // Show the precision of long double (this might be 64, 80 or 128 bits).
+  std::cout << "Floating-point type long double is available with:" << std::endl;
+  std::cout << "  std::numeric_limits<long double>::digits10 == "
+    << std::numeric_limits<long double>::digits10 << std::endl; // 18
+  std::cout << "  std::numeric_limits<long double>::max_digits10 == "
+    << std::numeric_limits<long double>::max_digits10 << std::endl; // 21
+  long double p = boost::math::constants::pi<double>();
+  std::cout.precision(std::numeric_limits<long double>::digits10);
+  std::cout << "pi = "  << p << std::endl;
+
+//[cstdfloat_constant_2
+//`These allow floating-point [*constants of at least the specified width] to be declared:
+
+  // Declare Archimedes' constant using float32_t with approximately 7 decimal digits of precision.
+  static const boost::float32_t pi = BOOST_FLOAT32_C(3.1415926536);
+
+  // Declare the Euler-gamma constant with approximately 15 decimal digits of precision.
+  static const boost::float64_t euler =
+     BOOST_FLOAT64_C(0.57721566490153286060651209008240243104216);
+
+  // Declare the Golden Ratio constant with the maximum decimal digits of precision that the platform supports.
+  static const boost::floatmax_t golden_ratio =
+     BOOST_FLOATMAX_C(1.61803398874989484820458683436563811772);
+//] [/cstdfloat_constant_2]
+
+// http://www.boost.org/doc/libs/1_55_0/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/float128.html
+//[cstdfloat_constant_1
+// Display the constant pi to the maximum available precision.
+  boost::floatmax_t pi_max = boost::math::constants::pi<boost::floatmax_t>();
+  std::cout.precision(std::numeric_limits<boost::floatmax_t>::digits10);
+  std::cout << "Most precise pi = "  << pi_max << std::endl;
+// If floatmax_t is float_128_t, then
+// Most precise pi = 3.141592653589793238462643383279503
+//] [/cstdfloat_constant_1]
+
+// Test all the floating-point precisions in turn, and if they are available
+// then display how many decimal digits of precision.
+#ifdef BOOST_FLOAT16_C
+  std::cout << "Floating-point type boost::float16_t is available." << std::endl;
+#else
+  std::cout << "Floating-point type boost::float16_t is NOT available." << std::endl;
+#endif
+
+#ifdef BOOST_FLOAT32_C
+  std::cout << "Floating-point type boost::float32_t is available." << std::endl;
+  std::cout << "  std::numeric_limits<boost::float32_t>::digits10 == "
+    << std::numeric_limits<boost::float32_t>::digits10 << std::endl;
+  std::cout << "  std::numeric_limits<boost::float32_t>::max_digits10 == "
+    << std::numeric_limits<boost::float32_t>::max_digits10 << std::endl;
+#else
+  std::cout << "Floating-point type boost::float32_t is NOT available." << std::endl;
+#endif
+
+#ifdef BOOST_FLOAT64_C
+  std::cout << "Floating-point type boost::float64_t is available." << std::endl;
+    std::cout << "  std::numeric_limits<boost::float64_t>::digits10 == "
+    << std::numeric_limits<boost::float64_t>::digits10 << std::endl;
+  std::cout << "  std::numeric_limits<boost::float64_t>::max_digits10 == "
+    << std::numeric_limits<boost::float64_t>::max_digits10 << std::endl;
+#else
+  std::cout << "Floating-point type boost::float64_t is NOT available." << std::endl;
+#endif
+
+#ifdef BOOST_FLOAT80_C
+  std::cout << "Floating-point type boost::float80_t is available." << std::endl;
+  std::cout << "  std::numeric_limits<boost::float80_t>::digits10 == "
+    << std::numeric_limits<boost::float80_t>::digits10 << std::endl;
+  std::cout << "  std::numeric_limits<boost::float80_t>::max_digits10 == "
+    << std::numeric_limits<boost::float80_t>::max_digits10 << std::endl;
+#else
+  std::cout << "Floating-point type boost::float80_t is NOT available." << std::endl;
+#endif
+
+#ifdef BOOST_FLOAT128_C
+  std::cout << "Floating-point type boost::float128_t is available." << std::endl;
+    std::cout << "  std::numeric_limits<boost::float128_t>::digits10 == "
+    << std::numeric_limits<boost::float128_t>::digits10 << std::endl;
+  std::cout << "  std::numeric_limits<boost::float128_t>::max_digits10 == "
+    << std::numeric_limits<boost::float128_t>::max_digits10 << std::endl;
+#else
+  std::cout << "Floating-point type boost::float128_t is NOT available." << std::endl;
+#endif
+
+// Show some constants at a precision depending on the available type(s).
+#ifdef BOOST_FLOAT16_C
+  std::cout.precision(boost::max_digits10<boost::float16_t>()); // Show all significant decimal digits,
+  std::cout.setf(std::ios::showpoint); // including all significant trailing zeros.
+
+  std::cout << "BOOST_FLOAT16_C(123.456789012345678901234567890) = "
+    << BOOST_FLOAT16_C(123.456789012345678901234567890) << std::endl;
+  // BOOST_FLOAT16_C(123.456789012345678901234567890) = 123.45678901234568
+#endif
+
+//[floatmax_widths_1
+#ifdef BOOST_FLOAT32_C
+  std::cout.precision(boost::max_digits10<boost::float32_t>()); // Show all significant decimal digits,
+  std::cout.setf(std::ios::showpoint); // including all significant trailing zeros.
+  std::cout << "BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = "
+    << BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) << std::endl;
+  //   BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = 123.456787
+#endif
+//] [/floatmax_widths_1]
+
+#ifdef BOOST_FLOAT64_C
+  std::cout.precision(boost::max_digits10<boost::float64_t>()); // Show all significant decimal digits,
+  std::cout.setf(std::ios::showpoint); // including all significant trailing zeros.
+  std::cout << "BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = "
+    << BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) << std::endl;
+  // BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = 123.45678901234568
+#endif
+
+#ifdef BOOST_FLOAT80_C
+  std::cout.precision(boost::max_digits10<boost::float80_t>()); // Show all significant decimal digits,
+  std::cout.setf(std::ios::showpoint); // including all significant trailing zeros.
+  std::cout << "BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) = "
+    << BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) << std::endl;
+  // BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) = 123.456789012345678903
+#endif
+
+#ifdef BOOST_FLOAT128_C
+  std::cout.precision(boost::max_digits10<boost::float128_t>()); // Show all significant decimal digits,
+  std::cout.setf(std::ios::showpoint); // including all significant trailing zeros.
+  std::cout << "BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) = "
+    << BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) << std::endl;
+  // BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) = 123.456789012345678901234567890123453
+#endif
+
+/*
+//[floatmax_widths_2
+BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = 123.456787
+BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = 123.45678901234568
+BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) = 123.456789012345678903
+BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) = 123.456789012345678901234567890123453
+//] [/floatmax_widths_2]
+*/
+
+// Display the precisions available for floatmax_t
+
+#ifdef BOOST_FLOATMAX_C
+  BOOST_ASSERT(std::numeric_limits<boost::floatmax_t>::is_specialized == true);
+  BOOST_ASSERT(std::numeric_limits<boost::floatmax_t>::is_iec559 == true);
+  BOOST_ASSERT(BOOST_FLOATMAX_C(0.) == 0);
+
+  std::cout << "floatmax_t " << std::numeric_limits<boost::floatmax_t>::digits << " bits\n" // 113
+    << std::numeric_limits<boost::floatmax_t>::digits10 << " decimal digits\n" // 34
+    << std::numeric_limits<boost::floatmax_t>::max_digits10 << " max_digits\n" // 36
+    << std::numeric_limits<boost::floatmax_t>::radix << " radix\n"
+    << std::endl;
+
+  int significand_bits = std::numeric_limits<boost::floatmax_t>::digits;
+  int exponent_max = std::numeric_limits<boost::floatmax_t>::max_exponent;
+  int exponent_min = std::numeric_limits<boost::floatmax_t>::min_exponent;
+  int exponent_bits = 1 + static_cast<int>(std::log2(std::numeric_limits<boost::floatmax_t>::max_exponent));
+  int sign_bits = std::numeric_limits<boost::floatmax_t>::is_signed;
+
+  std::cout << "significand_bits (including one implicit bit)" << significand_bits
+    << ", exponent_bits " << exponent_bits
+    << ", sign_bits " << sign_bits << std::endl;
+
+  // One can compute the total number of bits in the floatmax_t,
+  // but probably not at compile time.
+
+  std::cout << "bits = " << significand_bits + exponent_bits + sign_bits -1 << std::endl;
+  // -1 to take account of the implicit bit that is not part of the physical layout.
+
+  // One can compare typedefs (but, of course, only those that are defined for the platform in use.)
+  std::cout.setf(std::ios::boolalpha);
+  std::cout << "double, double: " << std::is_same<double, double>::value << std::endl;
+  bool b = boost::is_same<boost::floatmax_t, boost::float64_t>::value;
+  std::cout << "boost::is_same<boost::floatmax_t, boost::float64_t>::value; " << b << std::endl;
+  std::cout << "floatmax_t, float64_t: "
+    << std::is_same<boost::floatmax_t, boost::float64_t>::value << std::endl;
+
+/*`So the simplest way of obtaining the total number of bits in the floatmax_t
+is to infer it from the std::numeric_limits<>::digits value.
+This is possible because the type, must be a IEEE754 layout. */
+//[floatmax_1
+  const int fpbits =
+    (std::numeric_limits<boost::floatmax_t>::digits == 113) ? 128 :
+    (std::numeric_limits<boost::floatmax_t>::digits == 64) ? 80 :
+    (std::numeric_limits<boost::floatmax_t>::digits == 53) ? 64 :
+    (std::numeric_limits<boost::floatmax_t>::digits == 24) ? 32 :
+    (std::numeric_limits<boost::floatmax_t>::digits == 11) ? 16 :
+    0; // Unknown - not IEEE754 format.
+   std::cout << fpbits << " bits." << std::endl;
+//] [/floatmax_1]
+#endif
+
+  }
+  catch (std::exception ex)
+  { // Display details about why any exceptions are thrown.
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+
+} // int main()
+
+/*
+[cstdfloat_output
+
+GCC 4.8.1 with quadmath
+
+ pi = 1.00000
+ 0.88010117148986700
+ 0.0 0.0000000000000000
+ 1.0 0.88010117148986700
+ 2.0 4.6137984620549872
+ 3.0 16.274830009244951
+ 4.0 -25.360637961042869
+ 5.0 -1257.9038883512264
+ 6.0 -12749.592182518225
+ 7.0 -3020.9830849309437
+ 8.0 2421897.6013183584
+ 9.0 45577595.449204877
+ 0.0 0.00000000000000000000000000000000000
+ 1.0 0.880101171489866995756301548681221902
+ 2.0 4.61379846205498722611082484945654869
+ 3.0 16.2748300092449511566883302293717861
+ 4.0 -25.3606379610428689375112298876047134
+ 5.0 -1257.90388835122644195507746189832687
+ 6.0 -12749.5921825182249449426308274269104
+ 7.0 -3020.98308493094373261556029319763184
+ 8.0 2421897.60131835844367742538452148438
+ 9.0 45577595.4492048770189285278320312500
+ Floating-point type long double is available with:
+ std::numeric_limits<long double>::digits10 == 18
+ std::numeric_limits<long double>::max_digits10 == 21
+ pi = 3.14159265358979312
+ Most precise pi = 3.141592653589793238462643383279503
+ Floating-point type boost::float16_t is NOT available.
+ Floating-point type boost::float32_t is available.
+ std::numeric_limits<boost::float32_t>::digits10 == 6
+ std::numeric_limits<boost::float32_t>::max_digits10 == 9
+ Floating-point type boost::float64_t is available.
+ std::numeric_limits<boost::float64_t>::digits10 == 15
+ std::numeric_limits<boost::float64_t>::max_digits10 == 17
+ Floating-point type boost::float80_t is available.
+ std::numeric_limits<boost::float80_t>::digits10 == 18
+ std::numeric_limits<boost::float80_t>::max_digits10 == 21
+ Floating-point type boost::float128_t is available.
+ std::numeric_limits<boost::float128_t>::digits10 == 34
+ std::numeric_limits<boost::float128_t>::max_digits10 == 36
+ BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = 123.456787
+ BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = 123.45678901234568
+ BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) = 123.456789012345678903
+ BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) = 123.456789012345678901234567890123453
+ floatmax_t 113 bits
+ 34 decimal digits
+ 36 max_digits
+ 2 radix
+
+ significand_bits (including one implicit bit)113, exponent_bits 15, sign_bits 1
+ bits = 128
+ double, double: true
+ boost::is_same<boost::floatmax_t, boost::float64_t>::value; false
+ floatmax_t, float64_t: false
+ 128 bits.
+
+ RUN SUCCESSFUL (total time: 53ms)
+
+GCC 6.1.1
+
+pi = 1.00000
+0.88010117148986700
+0.0 0.0000000000000000
+1.0 0.88010117148986700
+2.0 4.6137984620549872
+3.0 16.274830009244951
+4.0 -25.360637961042869
+5.0 -1257.9038883512264
+6.0 -12749.592182518225
+7.0 -3020.9830849309437
+8.0 2421897.6013183584
+9.0 45577595.449204877
+0.0 0.00000000000000000000000000000000000
+1.0 0.880101171489866995756301548681221902
+2.0 4.61379846205498722611082484945654869
+3.0 16.2748300092449511566883302293717861
+4.0 -25.3606379610428689375112298876047134
+5.0 -1257.90388835122644195507746189832687
+6.0 -12749.5921825182249449426308274269104
+7.0 -3020.98308493094373261556029319763184
+8.0 2421897.60131835844367742538452148438
+9.0 45577595.4492048770189285278320312500
+Floating-point type long double is available with:
+  std::numeric_limits<long double>::digits10 == 18
+  std::numeric_limits<long double>::max_digits10 == 21
+pi = 3.14159265358979312
+Most precise pi = 3.14159265358979323846264338327950
+Floating-point type boost::float16_t is NOT available.
+Floating-point type boost::float32_t is available.
+  std::numeric_limits<boost::float32_t>::digits10 == 6
+  std::numeric_limits<boost::float32_t>::max_digits10 == 9
+Floating-point type boost::float64_t is available.
+  std::numeric_limits<boost::float64_t>::digits10 == 15
+  std::numeric_limits<boost::float64_t>::max_digits10 == 17
+Floating-point type boost::float80_t is available.
+  std::numeric_limits<boost::float80_t>::digits10 == 18
+  std::numeric_limits<boost::float80_t>::max_digits10 == 21
+Floating-point type boost::float128_t is available.
+  std::numeric_limits<boost::float128_t>::digits10 == 33
+  std::numeric_limits<boost::float128_t>::max_digits10 == 36
+BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = 123.456787
+BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = 123.45678901234568
+BOOST_FLOAT80_C(123.4567890123456789012345678901234567890) = 123.456789012345678903
+BOOST_FLOAT128_C(123.4567890123456789012345678901234567890) = 123.456789012345678901234567890123453
+floatmax_t 113 bits
+33 decimal digits
+36 max_digits
+2 radix
+
+significand_bits (including one implicit bit)113, exponent_bits 15, sign_bits 1
+bits = 128
+double, double: true
+boost::is_same<boost::floatmax_t, boost::float64_t>::value; false
+floatmax_t, float64_t: false
+128 bits.
+
+
+ MSVC 2013  64-bit
+
+ 1>  pi = 1.00000
+ 1>  0.88010117148986700
+ 1>  0.00 0.00000000000000000
+ 1>  1.0 0.88010117148986700
+ 1>  2.0 4.6137984620549854
+ 1>  3.0 16.274830009244948
+ 1>  4.0 -25.360637961042869
+ 1>  5.0 -1257.9038883512258
+ 1>  6.0 -12749.592182518225
+ 1>  7.0 -3020.9830849309396
+ 1>  8.0 2421897.6013183575
+ 1>  9.0 45577595.449204892
+ 1>  0.00 0.00000000000000000
+ 1>  1.0 0.88010117148986700
+ 1>  2.0 4.6137984620549854
+ 1>  3.0 16.274830009244948
+ 1>  4.0 -25.360637961042869
+ 1>  5.0 -1257.9038883512258
+ 1>  6.0 -12749.592182518225
+ 1>  7.0 -3020.9830849309396
+ 1>  8.0 2421897.6013183575
+ 1>  9.0 45577595.449204892
+ 1>  Floating-point type long double is available with:
+ 1>    std::numeric_limits<long double>::digits10 == 15
+ 1>    std::numeric_limits<long double>::max_digits10 == 17
+ 1>  pi = 3.14159265358979
+ 1>  Most precise pi = 3.14159265358979
+ 1>  Floating-point type boost::float16_t is NOT available.
+ 1>  Floating-point type boost::float32_t is available.
+ 1>    std::numeric_limits<boost::float32_t>::digits10 == 6
+ 1>    std::numeric_limits<boost::float32_t>::max_digits10 == 9
+ 1>  Floating-point type boost::float64_t is available.
+ 1>    std::numeric_limits<boost::float64_t>::digits10 == 15
+ 1>    std::numeric_limits<boost::float64_t>::max_digits10 == 17
+ 1>  Floating-point type boost::float80_t is NOT available.
+ 1>  Floating-point type boost::float128_t is NOT available.
+ 1>  BOOST_FLOAT32_C(123.4567890123456789012345678901234567890) = 123.456787
+ 1>  BOOST_FLOAT64_C(123.4567890123456789012345678901234567890) = 123.45678901234568
+ 1>  floatmax_t 53 bits
+ 1>  15 decimal digits
+ 1>  17 max_digits
+ 1>  2 radix
+ 1>
+ 1>  significand_bits (including one implicit bit)53, exponent_bits 11, sign_bits 1
+ 1>  bits = 64
+ 1>  double, double: true
+ 1>  boost::is_same<boost::floatmax_t, boost::float64_t>::value; true
+ 1>  floatmax_t, float64_t: true
+ 1>  64 bits.
+] [/cstdfloat_output]
+
+
+*/
+
diff --git a/src/boost/libs/math/example/daubechies_coefficients.cpp b/src/boost/libs/math/example/daubechies_coefficients.cpp
new file mode 100644
index 00000000..4a8c4110
--- /dev/null
+++ b/src/boost/libs/math/example/daubechies_coefficients.cpp
@@ -0,0 +1,221 @@
+/*
+ * Copyright Nick Thompson, 2018
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#include <iostream>
+#include <vector>
+#include <string>
+#include <complex>
+#include <bitset>
+#include <boost/assert.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/special_functions/binomial.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+#include <boost/multiprecision/complex128.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+
+using std::string;
+using boost::math::tools::polynomial;
+using boost::math::binomial_coefficient;
+using boost::math::tools::schroder_iterate;
+using boost::math::tools::halley_iterate;
+using boost::math::tools::newton_raphson_iterate;
+using boost::math::tools::complex_newton;
+using boost::math::constants::half;
+using boost::math::constants::root_two;
+using boost::math::constants::pi;
+using boost::math::quadrature::gauss_kronrod;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_complex_100;
+
+template<class Complex>
+std::vector<std::pair<Complex, Complex>> find_roots(size_t p)
+{
+    // Initialize the polynomial; see Mallat, A Wavelet Tour of Signal Processing, equation 7.96
+    BOOST_ASSERT(p>0);
+    typedef typename Complex::value_type Real;
+    std::vector<Complex> coeffs(p);
+    for (size_t k = 0; k < coeffs.size(); ++k)
+    {
+        coeffs[k] = Complex(binomial_coefficient<Real>(p-1+k, k), 0);
+    }
+
+    polynomial<Complex> P(std::move(coeffs));
+    polynomial<Complex> Pcopy = P;
+    polynomial<Complex> Pcopy_prime = P.prime();
+    auto orig = [&](Complex z) { return std::make_pair<Complex, Complex>(Pcopy(z), Pcopy_prime(z)); };
+
+    polynomial<Complex> P_prime = P.prime();
+
+    // Polynomial is of degree p-1.
+
+    std::vector<Complex> roots(p-1, {std::numeric_limits<Real>::quiet_NaN(),std::numeric_limits<Real>::quiet_NaN()});
+    size_t i = 0;
+    while(P.size() > 1)
+    {
+        Complex guess = {0.0, 1.0};
+        std::cout << std::setprecision(std::numeric_limits<Real>::digits10+3);
+
+        auto f = [&](Complex x)->std::pair<Complex, Complex>
+        {
+            return std::make_pair<Complex, Complex>(P(x), P_prime(x));
+        };
+
+        Complex r = complex_newton(f, guess);
+        using std::isnan;
+        if(isnan(r.real()))
+        {
+            int i = 50;
+            do {
+                // Try a different guess
+                guess *= Complex(1.0,-1.0);
+                r = complex_newton(f, guess);
+                std::cout << "New guess: " << guess << ", result? " << r << std::endl;
+
+            } while (isnan(r.real()) && i-- > 0);
+
+            if (isnan(r.real()))
+            {
+                std::cout << "Polynomial that killed the process: " << P << std::endl;
+                throw std::logic_error("Newton iteration did not converge");
+            }
+        }
+        // Refine r with the original function.
+        // We only use the polynomial division to ensure we don't get the same root over and over.
+        // However, the division induces error which can grow quickly-or slowly! See Numerical Recipes, section 9.5.1.
+        r = complex_newton(orig, r);
+        if (isnan(r.real()))
+        {
+            throw std::logic_error("Found a root for the deflated polynomial which is not a root for the original. Indicative of catastrophic numerical error.");
+        }
+        // Test the root:
+        using std::sqrt;
+        Real tol = sqrt(sqrt(std::numeric_limits<Real>::epsilon()));
+        if (norm(Pcopy(r)) > tol)
+        {
+            std::cout << "This is a bad root: P" <<  r << " = " << Pcopy(r) << std::endl;
+            std::cout << "Reduced polynomial leading to bad root: " << P << std::endl;
+            throw std::logic_error("Donezo.");
+        }
+
+        BOOST_ASSERT(i < roots.size());
+        roots[i] = r;
+        ++i;
+        polynomial<Complex> q{-r, {1,0}};
+        // This optimization breaks at p = 11. I have no clue why.
+        // Unfortunate, because I expect it to be considerably more stable than
+        // repeatedly dividing by the complex root.
+        /*polynomial<Complex> q;
+        if (r.imag() > sqrt(std::numeric_limits<Real>::epsilon()))
+        {
+            // Then the complex conjugate is also a root:
+            using std::conj;
+            using std::norm;
+            BOOST_ASSERT(i < roots.size());
+            roots[i] = conj(r);
+            ++i;
+            q = polynomial<Complex>({{norm(r), 0}, {-2*r.real(),0}, {1,0}});
+        }
+        else
+        {
+            // The imaginary part is numerical noise:
+            r.imag() = 0;
+            q = polynomial<Complex>({-r, {1,0}});
+        }*/
+
+
+        auto PR = quotient_remainder(P, q);
+        // I should validate that the remainder is small, but . . .
+        //std::cout << "Remainder = " << PR.second<< std::endl;
+
+        P = PR.first;
+        P_prime = P.prime();
+    }
+
+    std::vector<std::pair<Complex, Complex>> Qroots(p-1);
+    for (size_t i = 0; i < Qroots.size(); ++i)
+    {
+        Complex y = roots[i];
+        Complex z1 = static_cast<Complex>(1) - static_cast<Complex>(2)*y + static_cast<Complex>(2)*sqrt(y*(y-static_cast<Complex>(1)));
+        Complex z2 = static_cast<Complex>(1) - static_cast<Complex>(2)*y - static_cast<Complex>(2)*sqrt(y*(y-static_cast<Complex>(1)));
+        Qroots[i] = {z1, z2};
+    }
+
+    return Qroots;
+}
+
+template<class Complex>
+std::vector<typename Complex::value_type> daubechies_coefficients(std::vector<std::pair<Complex, Complex>> const & Qroots)
+{
+    typedef typename Complex::value_type Real;
+    size_t p = Qroots.size() + 1;
+    // Choose the minimum abs root; see Mallat, discussion just after equation 7.98
+    std::vector<Complex> chosen_roots(p-1);
+    for (size_t i = 0; i < p - 1; ++i)
+    {
+        if(norm(Qroots[i].first) <= 1)
+        {
+            chosen_roots[i] = Qroots[i].first;
+        }
+        else
+        {
+            BOOST_ASSERT(norm(Qroots[i].second) <= 1);
+            chosen_roots[i] = Qroots[i].second;
+        }
+    }
+
+    polynomial<Complex> R{1};
+    for (size_t i = 0; i < p-1; ++i)
+    {
+        Complex ak = chosen_roots[i];
+        R *= polynomial<Complex>({-ak/(static_cast<Complex>(1)-ak), static_cast<Complex>(1)/(static_cast<Complex>(1)-ak)});
+    }
+    polynomial<Complex> a{{half<Real>(), 0}, {half<Real>(),0}};
+    polynomial<Complex> poly = root_two<Real>()*pow(a, p)*R;
+    std::vector<Complex> result = poly.data();
+    // If we reverse, we get the Numerical Recipes and Daubechies convention.
+    // If we don't reverse, we get the Pywavelets and Mallat convention.
+    // I believe this is because of the sign convention on the DFT, which differs between Daubechies and Mallat.
+    // You implement a dot product in Daubechies/NR convention, and a convolution in PyWavelets/Mallat convention.
+    // I won't reverse so I can spot check against Pywavelets: http://wavelets.pybytes.com/wavelet/
+    //std::reverse(result.begin(), result.end());
+    std::vector<Real> h(result.size());
+    for (size_t i = 0; i < result.size(); ++i)
+    {
+        Complex r = result[i];
+        BOOST_ASSERT(r.imag() < sqrt(std::numeric_limits<Real>::epsilon()));
+        h[i] = r.real();
+    }
+
+    // Quick sanity check: We could check all vanishing moments, but that sum is horribly ill-conditioned too!
+    Real sum = 0;
+    Real scale = 0;
+    for (size_t i = 0; i < h.size(); ++i)
+    {
+        sum += h[i];
+        scale += h[i]*h[i];
+    }
+    BOOST_ASSERT(abs(scale -1) < sqrt(std::numeric_limits<Real>::epsilon()));
+    BOOST_ASSERT(abs(sum - root_two<Real>()) < sqrt(std::numeric_limits<Real>::epsilon()));
+    return h;
+}
+
+int main()
+{
+    typedef boost::multiprecision::cpp_complex<100> Complex;
+    for(size_t p = 1; p < 200; ++p)
+    {
+        auto roots = find_roots<Complex>(p);
+        auto h = daubechies_coefficients(roots);
+        std::cout << "h_" << p << "[] = {";
+        for (auto& x : h) {
+            std::cout << x << ", ";
+        }
+        std::cout << "} // = h_" << p << "\n\n\n\n";
+    }
+}
diff --git a/src/boost/libs/math/example/distribution_construction.cpp b/src/boost/libs/math/example/distribution_construction.cpp
new file mode 100644
index 00000000..a3d1a635
--- /dev/null
+++ b/src/boost/libs/math/example/distribution_construction.cpp
@@ -0,0 +1,295 @@
+// distribution_construction.cpp
+
+// Copyright Paul A. Bristow 2007, 2010, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Caution: this file contains Quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4996) // disable -D_SCL_SECURE_NO_WARNINGS C++ 'Checked Iterators'
+#endif
+
+#include <iostream>
+#include <exception>
+
+//[distribution_construction_1
+
+/*`
+The structure of distributions is rather different from some other statistical libraries,
+for example, those written in less object-oriented language like FORTRAN and C that
+provide a few arguments to each free function.
+
+Boost.Math library instead provides each distribution as a template C++ class.
+A distribution is constructed with a few arguments, and then
+member and non-member functions are used to find values of the
+distribution, often a function of a random variate.
+
+For this demonstration, first we need some includes to access the
+negative binomial distribution (and the binomial, beta and gamma distributions too).
+
+To demonstrate the use with a high precision User-defined floating-point type
+`cpp_bin_float`, we also need an include from Boost.Multiprecision.
+(We could equally well have used a `cpp_dec_float` multiprecision type).
+
+We choose a typedef `cpp_bin_float_50` to provide a 50 decimal digit type,
+but we could equally have chosen at 128-bit type `cpp_bin_float_quad`, 
+or on some platforms `__float128`, providing about 35 decimal digits.
+*/
+
+#include <boost/math/distributions/negative_binomial.hpp> // for negative_binomial_distribution
+  using boost::math::negative_binomial_distribution; // default type is double.
+  using boost::math::negative_binomial; // typedef provides default type is double.
+#include <boost/math/distributions/binomial.hpp> // for binomial_distribution.
+#include <boost/math/distributions/beta.hpp> // for beta_distribution.
+#include <boost/math/distributions/gamma.hpp> // for gamma_distribution.
+#include <boost/math/distributions/normal.hpp> // for normal_distribution.
+
+#include <boost/multiprecision/cpp_bin_float.hpp> // for cpp_bin_float_50
+/*`
+Several examples of constructing distributions follow:
+*/
+//] [/distribution_construction_1 end of Quickbook in C++ markup]
+
+int main()
+{
+  try
+  {
+//[distribution_construction_2
+/*`
+First, a negative binomial distribution with 8 successes
+and a success fraction 0.25, 25% or 1 in 4, is constructed like this:
+*/
+  boost::math::negative_binomial_distribution<double> mydist0(8., 0.25);
+  /*`
+  But this is inconveniently long, so we might be tempted to write
+  */
+  using namespace boost::math;
+  /*`
+  but this might risk ambiguity with names in `std random` so
+  [*much] better is explicit `using boost::math::` statements, for example:
+  */
+  using boost::math::negative_binomial_distribution;
+  /*`
+  and we can still reduce typing.
+
+  Since the vast majority of applications use will be using `double` precision,
+  the template argument to the distribution (`RealType`) defaults
+  to type `double`, so we can also write:
+  */
+
+  negative_binomial_distribution<> mydist9(8., 0.25); // Uses default `RealType = double`.
+
+  /*`
+  But the name `negative_binomial_distribution` is still inconveniently long,
+  so, for most distributions, a convenience `typedef` is provided, for example:
+
+     typedef negative_binomial_distribution<double> negative_binomial; // Reserved name of type double.
+
+  [caution
+  This convenience typedef is [*not provided] if a clash would occur
+  with the name of a function; currently only `beta` and `gamma`
+  fall into this category.
+  ]
+
+  So, after a using statement,
+  */
+
+  using boost::math::negative_binomial;
+
+  /*`
+  we have a convenient typedef to `negative_binomial_distribution<double>`:
+  */
+  negative_binomial mydist(8., 0.25);
+
+  /*`
+  Some more examples using the convenience typedef:
+  */
+  negative_binomial mydist10(5., 0.4); // Both arguments double.
+  /*`
+  And automatic conversion of arguments takes place, so you can use integers and floats:
+  */
+  negative_binomial mydist11(5, 0.4); // Using provided typedef of type double, and int and double arguments.
+  /*`
+  This is probably the most common usage.
+  Other combination are possible too:
+  */
+  negative_binomial mydist12(5., 0.4F); // Double and float arguments.
+  negative_binomial mydist13(5, 1); // Both arguments integer.
+
+  /*`
+  Similarly for most other distributions like the binomial.
+  */
+  binomial mybinomial(1, 0.5); // is more concise than
+  binomial_distribution<> mybinomd1(1, 0.5);
+
+  /*`
+  For cases when the typdef distribution name would clash with a math special function
+  (currently only beta and gamma)
+  the typedef is deliberately not provided, and the longer version of the name
+  must be used, so for example, do not use:
+
+     using boost::math::beta;
+     beta mybetad0(1, 0.5); // Error beta is a math FUNCTION!
+
+  Which produces the error messages:
+
+  [pre
+  error C2146: syntax error : missing ';' before identifier 'mybetad0'
+  warning C4551: function call missing argument list
+  error C3861: 'mybetad0': identifier not found
+  ]
+
+  Instead you should use:
+  */
+  using boost::math::beta_distribution;
+  beta_distribution<> mybetad1(1, 0.5);
+  /*`
+  or for the gamma distribution:
+  */
+  gamma_distribution<> mygammad1(1, 0.5);
+
+  /*`
+  We can, of course, still provide the type explicitly thus:
+  */
+
+  // Explicit double precision:  both arguments are double:
+  negative_binomial_distribution<double>        mydist1(8., 0.25);
+
+  // Explicit float precision, double arguments are truncated to float:
+  negative_binomial_distribution<float>         mydist2(8., 0.25);
+
+  // Explicit float precision, integer & double arguments converted to float:
+  negative_binomial_distribution<float>         mydist3(8, 0.25);
+
+  // Explicit float precision, float arguments, so no conversion:
+  negative_binomial_distribution<float>         mydist4(8.F, 0.25F);
+
+  // Explicit float precision, integer arguments promoted to float.
+  negative_binomial_distribution<float>         mydist5(8, 1);
+
+  // Explicit double precision:
+  negative_binomial_distribution<double>        mydist6(5., 0.4);
+
+  // Explicit long double precision:
+  negative_binomial_distribution<long double>   mydist7(8., 0.25);
+     
+  /*`
+  And you can use your own template RealType,
+  for example, `boost::math::cpp_bin_float_50` (an arbitrary 50 decimal digits precision type),
+  then we can write:
+  */
+  using namespace boost::multiprecision;
+  negative_binomial_distribution<cpp_bin_float_50>  mydist8(8, 0.25);
+
+  // `integer` arguments are promoted to your RealType exactly, but
+  // `double` argument are converted to RealType,
+  // most likely losing precision!
+  
+  // So DON'T be tempted to write the 'obvious':
+  negative_binomial_distribution<cpp_bin_float_50>  mydist20(8, 0.23456789012345678901234567890);
+ // to avoid truncation of second parameter to `0.2345678901234567` and loss of precision.
+
+ // Instead pass a quoted decimal digit string:
+  negative_binomial_distribution<cpp_bin_float_50>  mydist21(8, cpp_bin_float_50("0.23456789012345678901234567890") );
+
+  // Ensure that all potentially significant digits are shown.
+  std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10);
+  // 
+  cpp_bin_float_50 x("1.23456789012345678901234567890");
+  std::cout << pdf(mydist8, x) << std::endl;
+/*` showing  0.00012630010495970320103876754721976419438231705359935
+             0.00012630010495970320103876754721976419438231528547467
+
+[warning When using multiprecision, it is all too easy to get accidental truncation!]
+
+For example, if you write
+*/
+  std::cout << pdf(mydist8, 1.23456789012345678901234567890) << std::endl;
+/*`
+showing  0.00012630010495970318465064569310967179576805651692929,
+which is wrong at about the 17th decimal digit!
+
+This is because the value provided is truncated to a `double`, effectively
+  `double x = 1.23456789012345678901234567890;`
+
+Then the now `double x` is passed to function `pdf`,
+and this truncated `double` value is finally promoted to `cpp_bin_float_50`.
+
+Another way of quietly getting the wrong answer is to write:
+*/
+  std::cout << pdf(mydist8, cpp_bin_float_50(1.23456789012345678901234567890)) << std::endl;
+/*`
+A correct way from a multi-digit string value is
+*/
+  std::cout << pdf(mydist8, cpp_bin_float_50("1.23456789012345678901234567890")) << std::endl;
+/*`
+
+[tip Getting about 17 decimal digits followed by many zeros is often a sign of accidental truncation.]
+*/
+
+/*`
+[h4 Default arguments to distribution constructors.]
+
+Note that default constructor arguments are only provided for some distributions.
+So if you wrongly assume a default argument, you will get an error message, for example:
+
+   negative_binomial_distribution<> mydist8;
+
+[pre error C2512 no appropriate default constructor available.]
+
+No default constructors are provided for the `negative binomial` distribution,
+because it is difficult to chose any sensible default values for this distribution.
+
+For other distributions, like the normal distribution,
+it is obviously very useful to provide 'standard'
+defaults for the mean (zero) and standard deviation (unity) thus:
+
+    normal_distribution(RealType mean = 0, RealType sd = 1);
+
+So in this case we can more tersely write:
+*/
+  using boost::math::normal;
+
+  normal norm1;       // Standard normal distribution N[0,1].
+  normal norm2(2);    // Mean = 2, std deviation = 1.
+  normal norm3(2, 3); // Mean = 2, std deviation = 3.
+
+  }
+  catch(std::exception &ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+
+  return 0;
+}  // int main()
+
+/*`There is no useful output from this demonstration program, of course. */
+
+//] [/end of distribution_construction_2]
+
+/*
+//[distribution_construction_output
+
+  0.00012630010495970320103876754721976419438231705359935
+  0.00012630010495970318465064569310967179576805651692929
+  0.00012630010495970318465064569310967179576805651692929
+  0.00012630010495970320103876754721976419438231705359935
+
+//] [/distribution_construction_output]
+
+
+  0.00012630010495970320103876754721976419438231528547467
+  0.0001263001049597031846506456931096717957680547488046
+  0.0001263001049597031846506456931096717957680547488046
+  0.00012630010495970320103876754721976419438231528547467
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/example/double_exponential.cpp b/src/boost/libs/math/example/double_exponential.cpp
new file mode 100644
index 00000000..87e21b18
--- /dev/null
+++ b/src/boost/libs/math/example/double_exponential.cpp
@@ -0,0 +1,59 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+#include <cmath>
+#include <boost/math/quadrature/tanh_sinh.hpp>
+#include <boost/math/quadrature/sinh_sinh.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+using boost::math::quadrature::tanh_sinh;
+using boost::math::quadrature::sinh_sinh;
+using boost::math::quadrature::exp_sinh;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::root_pi;
+using std::log;
+using std::cos;
+using std::cosh;
+using std::exp;
+using std::sqrt;
+
+int main()
+{
+    std::cout << std::setprecision(std::numeric_limits<double>::digits10);
+    double tol = sqrt(std::numeric_limits<double>::epsilon());
+    // For an integral over a finite domain, use tanh_sinh:
+    tanh_sinh<double> tanh_integrator(tol, 10);
+    auto f1 = [](double x) { return log(x)*log(1-x); };
+    double Q = tanh_integrator.integrate(f1, (double) 0, (double) 1);
+    double Q_expected = 2 - pi<double>()*pi<double>()*half<double>()*third<double>();
+
+    std::cout << "tanh_sinh quadrature of log(x)log(1-x) gives " << Q << std::endl;
+    std::cout << "The exact integral is                        " << Q_expected << std::endl;
+
+    // For an integral over the entire real line, use sinh-sinh quadrature:
+    sinh_sinh<double> sinh_integrator(tol, 10);
+    auto f2 = [](double t) { return cos(t)/cosh(t);};
+    Q = sinh_integrator.integrate(f2);
+    Q_expected = pi<double>()/cosh(half_pi<double>());
+    std::cout << "sinh_sinh quadrature of cos(x)/cosh(x) gives " << Q << std::endl;
+    std::cout << "The exact integral is                        " << Q_expected << std::endl;
+
+    // For half-infinite intervals, use exp-sinh.
+    // Endpoint singularities are handled well:
+    exp_sinh<double> exp_integrator(tol, 10);
+    auto f3 = [](double t) { return exp(-t)/sqrt(t); };
+    Q = exp_integrator.integrate(f3, 0, std::numeric_limits<double>::infinity());
+    Q_expected = root_pi<double>();
+    std::cout << "exp_sinh quadrature of exp(-t)/sqrt(t) gives " << Q << std::endl;
+    std::cout << "The exact integral is                        " << Q_expected << std::endl;
+
+
+
+}
diff --git a/src/boost/libs/math/example/error_handling_example.cpp b/src/boost/libs/math/example/error_handling_example.cpp
new file mode 100644
index 00000000..24543cdf
--- /dev/null
+++ b/src/boost/libs/math/example/error_handling_example.cpp
@@ -0,0 +1,153 @@
+// example_error_handling.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+// Optional macro definitions described in text below:
+//   #define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error
+//   #define BOOST_MATH_DOMAIN_ERROR_POLICY errno_on_error
+//   #define BOOST_MATH_DOMAIN_ERROR_POLICY is set to: throw_on_error
+
+//[error_handling_example
+/*`
+The following example demonstrates the effect of
+setting the macro BOOST_MATH_DOMAIN_ERROR_POLICY
+when an invalid argument is encountered.  For the
+purposes of this example, we'll pass a negative
+degrees of freedom parameter to the student's t
+distribution.
+
+Since we know that this is a single file program we could
+just add:
+
+   #define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error
+
+to the top of the source file to change the default policy
+to one that simply returns a NaN when a domain error occurs.
+Alternatively we could use:
+
+   #define BOOST_MATH_DOMAIN_ERROR_POLICY errno_on_error
+
+To ensure the `::errno` is set when a domain error occurs
+as well as returning a NaN.
+
+This is safe provided the program consists of a single
+translation unit /and/ we place the define /before/ any
+#includes.  Note that should we add the define after the includes
+then it will have no effect!  A warning such as:
+
+[pre warning C4005: 'BOOST_MATH_OVERFLOW_ERROR_POLICY' : macro redefinition]
+
+is a certain sign that it will /not/ have the desired effect.
+
+We'll begin our sample program with the needed includes:
+*/
+
+
+   #define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error
+
+// Boost
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;  // Probability of students_t(df, t).
+
+// std
+#include <iostream>
+   using std::cout;
+   using std::endl;
+
+#include <stdexcept>
+
+
+#include <cstddef>
+   // using ::errno
+
+/*`
+Next we'll define the program's main() to call the student's t
+distribution with an invalid degrees of freedom parameter,
+the program is set up to handle either an exception or a NaN:
+*/
+
+int main()
+{
+   cout << "Example error handling using Student's t function. " << endl;
+   cout << "BOOST_MATH_DOMAIN_ERROR_POLICY is set to: "
+      << BOOST_STRINGIZE(BOOST_MATH_DOMAIN_ERROR_POLICY) << endl;
+
+   double degrees_of_freedom = -1; // A bad argument!
+   double t = 10;
+
+   try
+   {
+      errno = 0; // Clear/reset.
+      students_t dist(degrees_of_freedom); // exception is thrown here if enabled.
+      double p = cdf(dist, t);
+      // Test for error reported by other means:
+      if((boost::math::isnan)(p))
+      {
+         cout << "cdf returned a NaN!" << endl;
+         if (errno != 0)
+         { // So errno has been set.
+           cout << "errno is set to: " << errno << endl;
+         }
+      }
+      else
+         cout << "Probability of Student's t is " << p << endl;
+   }
+   catch(const std::exception& e)
+   {
+      std::cout <<
+         "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+   }
+   return 0;
+} // int main()
+
+/*`
+
+Here's what the program output looks like with a default build
+(one that *does throw exceptions*):
+
+[pre
+Example error handling using Student's t function.
+BOOST_MATH_DOMAIN_ERROR_POLICY is set to: throw_on_error
+
+Message from thrown exception was:
+   Error in function boost::math::students_t_distribution<double>::students_t_distribution:
+   Degrees of freedom argument is -1, but must be > 0 !
+]
+
+Alternatively let's build with:
+
+   #define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error
+
+Now the program output is:
+
+[pre
+Example error handling using Student's t function.
+BOOST_MATH_DOMAIN_ERROR_POLICY is set to: ignore_error
+cdf returned a NaN!
+]
+
+And finally let's build with:
+
+   #define BOOST_MATH_DOMAIN_ERROR_POLICY errno_on_error
+
+Which gives the output show errno:
+
+[pre
+Example error handling using Student's t function.
+BOOST_MATH_DOMAIN_ERROR_POLICY is set to: errno_on_error
+cdf returned a NaN!
+errno is set to: 33
+]
+
+*/
+
+//] [error_handling_eg end quickbook markup]
diff --git a/src/boost/libs/math/example/error_policies_example.cpp b/src/boost/libs/math/example/error_policies_example.cpp
new file mode 100644
index 00000000..289d1016
--- /dev/null
+++ b/src/boost/libs/math/example/error_policies_example.cpp
@@ -0,0 +1,105 @@
+// error_policies_example.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/distributions/normal.hpp>
+  using boost::math::normal_distribution;
+
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;  // Probability of students_t(df, t).
+   using boost::math::students_t_distribution;
+
+//  using namespace boost::math; causes:
+//.\error_policy_normal.cpp(30) : error C2872: 'policy' : ambiguous symbol
+//        could be '\boost/math/policies/policy.hpp(392) : boost::math::policies::policy'
+//        or 'boost::math::policies'
+
+// So should not use this 'using namespace boost::math;' command.
+
+// Suppose we want a statistical distribution to return infinities,
+// rather than throw exceptions (the default policy), then we can use:
+
+// std
+#include <iostream>
+   using std::cout;
+   using std::endl;
+
+// using namespace boost::math::policies; or
+
+using boost::math::policies::policy;
+// Possible errors
+using boost::math::policies::overflow_error;
+using boost::math::policies::underflow_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::pole_error;
+using boost::math::policies::denorm_error;
+using boost::math::policies::evaluation_error;
+using boost::math::policies::ignore_error;
+
+// Define a custom policy to ignore just overflow:
+typedef policy<
+overflow_error<ignore_error>
+      > my_policy;
+
+// Define another custom policy (perhaps ill-advised?)
+// to ignore all errors: domain, pole, overflow, underflow, denorm & evaluation:
+typedef policy<
+domain_error<ignore_error>,
+pole_error<ignore_error>,
+overflow_error<ignore_error>,
+underflow_error<ignore_error>,
+denorm_error<ignore_error>,
+evaluation_error<ignore_error>
+      > my_ignoreall_policy;
+
+// Define a new distribution with a custom policy to ignore_error
+// (& thus perhaps return infinity for some arguments):
+typedef boost::math::normal_distribution<double, my_policy> my_normal;
+// Note: uses default parameters zero mean and unit standard deviation.
+
+// We could also do the same for another distribution, for example:
+using boost::math::students_t_distribution;
+typedef students_t_distribution<double, my_ignoreall_policy> my_students_t;
+
+int main()
+{
+  cout << "quantile(my_normal(), 0.05); = " << quantile(my_normal(), 0.05) << endl; // 0.05 is argument within normal range.
+  cout << "quantile(my_normal(), 0.); = " << quantile(my_normal(), 0.) << endl; // argument zero, so expect infinity.
+  cout << "quantile(my_normal(), 0.); = " << quantile(my_normal(), 0.F) << endl; // argument zero, so expect infinity.
+
+  cout << "quantile(my_students_t(), 0.); = " << quantile(my_students_t(-1), 0.F) << endl; // 'bad' argument negative, so expect NaN.
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  // Construct a (0, 1) normal distribution that ignores all errors,
+  // returning NaN, infinity, zero, or best guess,
+  // and NOT setting errno.
+  normal_distribution<long double, my_ignoreall_policy> my_normal2(0.L, 1.L); // explicit parameters for distribution.
+  cout << "quantile(my_normal2(), 0.); = " << quantile(my_normal2, 0.01) << endl; // argument 0.01, so result finite.
+  cout << "quantile(my_normal2(), 0.); = " << quantile(my_normal2, 0.) << endl; // argument zero, so expect infinity.
+#endif
+
+  return 0;
+}
+
+/*
+
+Output:
+
+error_policies_example.cpp
+  Generating code
+  Finished generating code
+  error_policy_normal_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\error_policies_example.exe
+  quantile(my_normal(), 0.05); = -1.64485
+  quantile(my_normal(), 0.); = -1.#INF
+  quantile(my_normal(), 0.); = -1.#INF
+  quantile(my_students_t(), 0.); = 1.#QNAN
+  quantile(my_normal2(), 0.); = -2.32635
+  quantile(my_normal2(), 0.); = -1.#INF
+
+*/
diff --git a/src/boost/libs/math/example/error_policy_example.cpp b/src/boost/libs/math/example/error_policy_example.cpp
new file mode 100644
index 00000000..37cb5163
--- /dev/null
+++ b/src/boost/libs/math/example/error_policy_example.cpp
@@ -0,0 +1,93 @@
+// example_policy_handling.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// See error_handling_example.cpp for use of
+// macro definition to change policy for
+// domain_error - negative degrees of freedom argument
+// for student's t distribution CDF,
+// and catching the exception.
+
+// See error_handling_policies.cpp for more examples.
+
+// Boost
+#include <boost/math/distributions/students_t.hpp>
+using boost::math::students_t_distribution;  // Probability of students_t(df, t).
+using boost::math::students_t;  // Probability of students_t(df, t) convenience typedef for double.
+
+using boost::math::policies::policy;
+using boost::math::policies::domain_error;
+using boost::math::policies::ignore_error;
+
+// std
+#include <iostream>
+   using std::cout;
+   using std::endl;
+
+#include <stdexcept>
+   
+
+// Define a (bad?) policy to ignore domain errors ('bad' arguments):
+typedef policy<
+      domain_error<ignore_error>
+      > my_policy;
+
+// Define my_students_t distribution with this different domain error policy:
+typedef students_t_distribution<double, my_policy> my_students_t;
+
+int main()
+{  // Example of error handling of bad argument(s) to a distribution.
+  cout << "Example error handling using Student's t function. " << endl;
+
+  double degrees_of_freedom = -1; double t = -1.; // Two 'bad' arguments!
+
+  try
+  {
+    cout << "Probability of ignore_error Student's t is "
+      << cdf(my_students_t(degrees_of_freedom), t) << endl;
+    cout << "Probability of default error policy Student's t is " << endl;
+    // By contrast the students_t distribution default domain error policy is to throw,
+    cout << cdf(students_t(-1), -1) << endl;  // so this will throw.
+/*`
+    Message from thrown exception was:
+   Error in function boost::math::students_t_distribution<double>::students_t_distribution:
+   Degrees of freedom argument is -1, but must be > 0 !
+*/
+
+    // We could also define a 'custom' distribution
+    // with an "ignore overflow error policy" in a single statement:
+    using boost::math::policies::overflow_error;
+    students_t_distribution<double, policy<overflow_error<ignore_error> > > students_t_no_throw(-1);
+
+  }
+  catch(const std::exception& e)
+  {
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+
+  return 0;
+} // int main()
+
+/*
+
+Output:
+
+   error_policy_example.cpp
+  Generating code
+  Finished generating code
+  error_policy_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\error_policy_example.exe
+  Example error handling using Student's t function. 
+  Probability of ignore_error Student's t is 1.#QNAN
+  Probability of default error policy Student's t is 
+  
+  Message from thrown exception was:
+     Error in function boost::math::students_t_distribution<double>::students_t_distribution: Degrees of freedom argument is -1, but must be > 0 !
+
+*/
diff --git a/src/boost/libs/math/example/f_test.cpp b/src/boost/libs/math/example/f_test.cpp
new file mode 100644
index 00000000..f7fabdee
--- /dev/null
+++ b/src/boost/libs/math/example/f_test.cpp
@@ -0,0 +1,250 @@
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2007, 2008, 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4512) // assignment operator could not be generated.
+#  pragma warning(disable: 4510) // default constructor could not be generated.
+#  pragma warning(disable: 4610) // can never be instantiated - user defined constructor required.
+#  pragma warning(disable: 4180) // qualifier has no effect (in Fusion).
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+using std::left; using std::fixed; using std::right; using std::scientific;
+#include <iomanip>
+using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/fisher_f.hpp>
+
+void f_test(
+       double sd1,     // Sample 1 std deviation
+       double sd2,     // Sample 2 std deviation
+       double N1,      // Sample 1 size
+       double N2,      // Sample 2 size
+       double alpha)  // Significance level
+{
+   //
+   // An F test applied to two sets of data.
+   // We are testing the null hypothesis that the
+   // standard deviation of the samples is equal, and
+   // that any variation is down to chance.  We can
+   // also test the alternative hypothesis that any
+   // difference is not down to chance.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda359.htm
+   //
+   // Avoid "using namespace boost::math;" because of potential name ambiguity.
+   using boost::math::fisher_f;
+
+   // Print header:
+   cout <<
+      "____________________________________\n"
+      "F test for equal standard deviations\n"
+      "____________________________________\n\n";
+   cout << setprecision(5);
+   cout << "Sample 1:\n";
+   cout << setw(55) << left << "Number of Observations" << "=  " << N1 << "\n";
+   cout << setw(55) << left << "Sample Standard Deviation" << "=  " << sd1 << "\n\n";
+   cout << "Sample 2:\n";
+   cout << setw(55) << left << "Number of Observations" << "=  " << N2 << "\n";
+   cout << setw(55) << left << "Sample Standard Deviation" << "=  " << sd2 << "\n\n";
+   //
+   // Now we can calculate and output some stats:
+   //
+   // F-statistic:
+   double F = (sd1 / sd2);
+   F *= F;
+   cout << setw(55) << left << "Test Statistic" << "=  " << F << "\n\n";
+   //
+   // Finally define our distribution, and get the probability:
+   //
+   fisher_f dist(N1 - 1, N2 - 1);
+   double p = cdf(dist, F);
+   cout << setw(55) << left << "CDF of test statistic: " << "=  "
+      << setprecision(3) << scientific << p << "\n";
+   double ucv = quantile(complement(dist, alpha));
+   double ucv2 = quantile(complement(dist, alpha / 2));
+   double lcv = quantile(dist, alpha);
+   double lcv2 = quantile(dist, alpha / 2);
+   cout << setw(55) << left << "Upper Critical Value at alpha: " << "=  "
+      << setprecision(3) << scientific << ucv << "\n";
+   cout << setw(55) << left << "Upper Critical Value at alpha/2: " << "=  "
+      << setprecision(3) << scientific << ucv2 << "\n";
+   cout << setw(55) << left << "Lower Critical Value at alpha: " << "=  "
+      << setprecision(3) << scientific << lcv << "\n";
+   cout << setw(55) << left << "Lower Critical Value at alpha/2: " << "=  "
+      << setprecision(3) << scientific << lcv2 << "\n\n";
+   //
+   // Finally print out results of null and alternative hypothesis:
+   //
+   cout << setw(55) << left <<
+      "Results for Alternative Hypothesis and alpha" << "=  "
+      << setprecision(4) << fixed << alpha << "\n\n";
+   cout << "Alternative Hypothesis                                    Conclusion\n";
+   cout << "Standard deviations are unequal (two sided test)          ";
+   if((ucv2 < F) || (lcv2 > F))
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Standard deviation 1 is less than standard deviation 2    ";
+   if(lcv > F)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Standard deviation 1 is greater than standard deviation 2 ";
+   if(ucv < F)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << endl << endl;
+}
+
+int main()
+{
+   //
+   // Run tests for ceramic strength data:
+   // see http://www.itl.nist.gov/div898/handbook/eda/section4/eda42a1.htm
+   // The data for this case study were collected by Said Jahanmir of the
+   // NIST Ceramics Division in 1996 in connection with a NIST/industry
+   // ceramics consortium for strength optimization of ceramic strength.
+   //
+   f_test(65.54909, 61.85425, 240, 240, 0.05);
+   //
+   // And again for the process change comparison:
+   // see http://www.itl.nist.gov/div898/handbook/prc/section3/prc32.htm
+   // A new procedure to assemble a device is introduced and tested for
+   // possible improvement in time of assembly. The question being addressed
+   // is whether the standard deviation of the new assembly process (sample 2) is
+   // better (i.e., smaller) than the standard deviation for the old assembly
+   // process (sample 1).
+   //
+   f_test(4.9082, 2.5874, 11, 9, 0.05);
+   return 0;
+}
+
+/*
+
+Output:
+
+  f_test.cpp
+  F-test_example1.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\F_test_example1.exe
+  ____________________________________
+  F test for equal standard deviations
+  ____________________________________
+  
+  Sample 1:
+  Number of Observations                                 =  240
+  Sample Standard Deviation                              =  65.549
+  
+  Sample 2:
+  Number of Observations                                 =  240
+  Sample Standard Deviation                              =  61.854
+  
+  Test Statistic                                         =  1.123
+  
+  CDF of test statistic:                                 =  8.148e-001
+  Upper Critical Value at alpha:                         =  1.238e+000
+  Upper Critical Value at alpha/2:                       =  1.289e+000
+  Lower Critical Value at alpha:                         =  8.080e-001
+  Lower Critical Value at alpha/2:                       =  7.756e-001
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis                                    Conclusion
+  Standard deviations are unequal (two sided test)          REJECTED
+  Standard deviation 1 is less than standard deviation 2    REJECTED
+  Standard deviation 1 is greater than standard deviation 2 REJECTED
+  
+  
+  ____________________________________
+  F test for equal standard deviations
+  ____________________________________
+  
+  Sample 1:
+  Number of Observations                                 =  11.00000
+  Sample Standard Deviation                              =  4.90820
+  
+  Sample 2:
+  Number of Observations                                 =  9.00000
+  Sample Standard Deviation                              =  2.58740
+  
+  Test Statistic                                         =  3.59847
+  
+  CDF of test statistic:                                 =  9.589e-001
+  Upper Critical Value at alpha:                         =  3.347e+000
+  Upper Critical Value at alpha/2:                       =  4.295e+000
+  Lower Critical Value at alpha:                         =  3.256e-001
+  Lower Critical Value at alpha/2:                       =  2.594e-001
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis                                    Conclusion
+  Standard deviations are unequal (two sided test)          REJECTED
+  Standard deviation 1 is less than standard deviation 2    REJECTED
+  Standard deviation 1 is greater than standard deviation 2 NOT REJECTED
+  
+  
+  ____________________________________
+  F test for equal standard deviations
+  ____________________________________
+  
+  Sample 1:
+  Number of Observations                                 =  240
+  Sample Standard Deviation                              =  65.549
+  
+  Sample 2:
+  Number of Observations                                 =  240
+  Sample Standard Deviation                              =  61.854
+  
+  Test Statistic                                         =  1.123
+  
+  CDF of test statistic:                                 =  8.148e-001
+  Upper Critical Value at alpha:                         =  1.238e+000
+  Upper Critical Value at alpha/2:                       =  1.289e+000
+  Lower Critical Value at alpha:                         =  8.080e-001
+  Lower Critical Value at alpha/2:                       =  7.756e-001
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis                                    Conclusion
+  Standard deviations are unequal (two sided test)          REJECTED
+  Standard deviation 1 is less than standard deviation 2    REJECTED
+  Standard deviation 1 is greater than standard deviation 2 REJECTED
+  
+  
+  ____________________________________
+  F test for equal standard deviations
+  ____________________________________
+  
+  Sample 1:
+  Number of Observations                                 =  11.00000
+  Sample Standard Deviation                              =  4.90820
+  
+  Sample 2:
+  Number of Observations                                 =  9.00000
+  Sample Standard Deviation                              =  2.58740
+  
+  Test Statistic                                         =  3.59847
+  
+  CDF of test statistic:                                 =  9.589e-001
+  Upper Critical Value at alpha:                         =  3.347e+000
+  Upper Critical Value at alpha/2:                       =  4.295e+000
+  Lower Critical Value at alpha:                         =  3.256e-001
+  Lower Critical Value at alpha/2:                       =  2.594e-001
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis                                    Conclusion
+  Standard deviations are unequal (two sided test)          REJECTED
+  Standard deviation 1 is less than standard deviation 2    REJECTED
+  Standard deviation 1 is greater than standard deviation 2 NOT REJECTED
+  
+ 
+
+*/
+
diff --git a/src/boost/libs/math/example/factorial_example.cpp b/src/boost/libs/math/example/factorial_example.cpp
new file mode 100644
index 00000000..7a51e074
--- /dev/null
+++ b/src/boost/libs/math/example/factorial_example.cpp
@@ -0,0 +1,97 @@
+// TestFactorial.cpp
+//
+// Factorials and Binomial Coefficients.
+//
+// Copyright Datasim Education BV 2009-2010
+// Copyright John Maddock and Paul A. Bristow 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/factorials.hpp>
+#include <boost/math/special_functions.hpp>
+
+#include <iostream>
+using namespace std;
+
+int main()
+{
+  using namespace boost::math;
+
+  // Factorials
+  unsigned int n = 3;
+ 
+  try
+  {
+     cout << "Factorial: " << factorial<double>(n) << endl;
+
+     // Caution: You must provide a return type template value, so this will not compile
+     // unsigned int nfac = factorial(n); // could not deduce template argument for 'T'
+     // You must provide an explicit floating-point (not integer) return type.
+     // If you do provide an integer type, like this:
+     // unsigned int uintfac = factorial<unsigned int>(n);
+     // you will also get a compile error, for MSVC C2338.
+     // If you really want an integer type, you can convert from double:
+     unsigned int intfac = static_cast<unsigned int>(factorial<double>(n));
+     // this will be exact, until the result of the factorial overflows the integer type.
+
+     cout << "Unchecked factorial: " << boost::math::unchecked_factorial<float>(n) << endl;
+     // Note:
+     // unsigned int unfac = boost::math::unchecked_factorial<unsigned int>(n);
+     // also fails to compile for the same reasons.
+  } 
+  catch(exception& e)
+  {
+    cout << e.what() << endl;
+  }
+
+  // Double factorial n!!
+  try
+  {
+    //cout << "Double factorial: " << boost::math::double_factorial<unsigned>(n);
+  }
+  catch(exception& e)
+  {
+    cout << e.what() << endl;
+  }
+
+  // Rising and falling factorials
+  try
+  {
+    int i = 2; double x = 8;
+    cout << "Rising factorial: " << rising_factorial(x,i) << endl;
+    cout << "Falling factorial: " << falling_factorial(x,i) << endl;
+  }
+  catch(exception& e)
+  {
+    cout << e.what() << endl;
+  }
+
+  // Binomial coefficients
+  try
+  {
+    unsigned n = 10; unsigned k = 2;
+    // cout << "Binomial coefficient: " << boost::math::binomial_coefficient<unsigned>(n,k) << endl;
+  }
+  catch(exception& e)
+  {
+    cout << e.what() << endl;
+  }
+  return 0;
+}
+
+/*
+
+Output:
+
+  factorial_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\factorial_example.exe
+  Factorial: 6
+  Unchecked factorial: 6
+  Rising factorial: 72
+  Falling factorial: 56
+
+*/
+
+
diff --git a/src/boost/libs/math/example/fft_sines_table.cpp b/src/boost/libs/math/example/fft_sines_table.cpp
new file mode 100644
index 00000000..cd04642a
--- /dev/null
+++ b/src/boost/libs/math/example/fft_sines_table.cpp
@@ -0,0 +1,270 @@
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright Paul A. Bristow 2013.
+// Copyright Christopher Kormanyos 2012, 2013.
+// Copyright John Maddock 2013.
+
+// This file is written to be included from a Quickbook .qbk document.
+// It can be compiled by the C++ compiler, and run. Any output can
+// also be added here as comment or included or pasted in elsewhere.
+// Caution: this file contains Quickbook markup as well as code
+// and comments: don't change any of the special comment markups!
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4996)  // -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+//[fft_sines_table_example_1
+
+/*`[h5 Using Boost.Multiprecision to generate a high-precision array of sine coefficents for use with FFT.]
+
+The Boost.Multiprecision library can be used for computations requiring precision
+exceeding that of standard built-in types such as `float`, `double`
+and `long double`. For extended-precision calculations, Boost.Multiprecision
+supplies a template data type called `cpp_bin_float`. The number of decimal
+digits of precision is fixed at compile-time via a template parameter.
+
+One often needs to compute tables of numbers in mathematical software.
+To avoid the
+[@https://en.wikipedia.org/wiki/Rounding#Table-maker's_dilemma Table-maker's dilemma]
+it is necessary to use a higher precision type to compute the table values so that they have
+the nearest representable bit-pattern for the type, say `double`, of the table value.
+
+This example is a program `fft_since_table.cpp` that writes a header file `sines.hpp`
+containing an array of sine coefficients for use with a Fast Fourier Transform (FFT),
+that can be included by the FFT program.
+
+To use Boost.Multiprecision's high-precision floating-point types and constants, we need some includes:
+*/
+#include <boost/math/constants/constants.hpp>
+// using boost::math::constants::pi;
+
+#include <boost/multiprecision/cpp_bin_float.hpp> // for
+// using boost::multiprecision::cpp_bin_float and
+// using boost::multiprecision::cpp_bin_float_50;
+// using boost::multiprecision::cpp_bin_float_quad;
+
+#include <boost/array.hpp> // or <array> for std::array
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+#include <fstream>
+
+/*`First, this example defines a prolog text string which is a C++ comment with the program licence, copyright etc.
+(You would of course, tailor this to your needs, including *your* copyright claim).
+This will appear at the top of the written header file `sines.hpp`.
+*/
+
+//] [fft_sines_table_example_1]
+
+static const char* prolog =
+{
+  "// Use, modification and distribution are subject to the\n"
+  "// Boost Software License, Version 1.0.\n"
+  "// (See accompanying file LICENSE_1_0.txt\n"
+  "// or copy at ""http://www.boost.org/LICENSE_1_0.txt)\n\n"
+
+  "// Copyright A N Other, 2019.\n\n"
+};
+
+//[fft_sines_table_example_2
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::constants::pi;
+
+//] [fft_sines_table_example_2]
+
+// VS 2010 (wrongly) requires these at file scope, not local scope in `main`.
+// This program also requires `-std=c++11` option to compile using Clang and GCC.
+
+int main()
+{
+//[fft_sines_table_example_3
+/*`A fast Fourier transform (FFT), for example, may use a table of the values of
+sin(([pi]/2[super n]) in its implementation details. In order to maximize the precision in
+the FFT implementation, the precision of the tabulated trigonometric values
+should exceed that of the built-in floating-point type used in the FFT.
+
+The sample below computes a table of the values of sin([pi]/2[super n])
+in the range 1  <= n <= 31.
+
+This program makes use of, among other program elements, the data type
+`boost::multiprecision::cpp_bin_float_50`
+for a precision of 50 decimal digits from Boost.Multiprecision,
+the value of constant [pi] retrieved from Boost.Math,
+guaranteed to be initialized with the very last bit of precision for the type,
+here `cpp_bin_float_50`,
+and a C++11 lambda function combined with `std::for_each()`.
+*/
+
+/*`define the number of values (32) in the array of sines.
+*/
+
+  std::size_t size = 32U;
+  //cpp_bin_float_50 p = pi<cpp_bin_float_50>();
+  cpp_bin_float_50 p = boost::math::constants::pi<cpp_bin_float_50>();
+
+  std::vector <cpp_bin_float_50> sin_values (size);
+  unsigned n = 1U;
+  // Generate the sine values.
+  std::for_each
+  (
+    sin_values.begin (),
+    sin_values.end (),
+    [&n](cpp_bin_float_50& y)
+    {
+      y = sin( pi<cpp_bin_float_50>() / pow(cpp_bin_float_50 (2), n));
+      ++n;
+    }
+  );
+
+/*`Define the floating-point type for the generated file, either built-in
+`double, `float, or `long double`, or a user defined type like `cpp_bin_float_50`.
+*/
+
+std::string fp_type = "double";
+
+std::cout << "Generating an `std::array` or `boost::array` for floating-point type: "
+  << fp_type << ". " << std::endl;
+
+/*`By default, output would only show the standard 6 decimal digits,
+so set precision to show enough significant digits for the chosen floating-point type.
+For `cpp_bin_float_50` is 50. (50 decimal digits should be ample for most applications).
+
+*/
+  std::streamsize precision = std::numeric_limits<cpp_bin_float_50>::digits10;
+
+  std::cout << "Sines table precision is " << precision << " decimal digits. " << std::endl;
+
+/*`Of course, one could also choose a lower precision for the table values, for example,
+
+`std::streamsize precision = std::numeric_limits<cpp_bin_float_quad>::max_digits10;`
+
+128-bit 'quad' precision of 36 decimal digits would be sufficient
+for the most precise current `long double` implementations using 128-bit.
+In general, it should be a couple of decimal digits more (guard digits) than
+`std::numeric_limits<RealType>::max_digits10` for the target system floating-point type.
+(If the implementation does not provide `max_digits10`, the the Kahan formula
+`std::numeric_limits<RealType>::digits * 3010/10000 + 2` can be used instead).
+
+The compiler will read these values as decimal digits strings and
+use the nearest representation for the floating-point type.
+
+Now output all the sine table, to a file of your chosen name.
+*/
+  const char sines_name[] = "sines.hpp";  // Assuming in same directory as .exe
+
+  std::ofstream fout(sines_name, std::ios_base::out);  // Creates if no file exists,
+  // & uses default overwrite/ ios::replace.
+  if (fout.is_open() == false)
+  {  // failed to open OK!
+    std::cout << "Open file " << sines_name << " failed!" << std::endl;
+    return EXIT_FAILURE;
+  }
+  else
+  { // Write prolog etc as a C++ comment.
+    std::cout << "Open file " << sines_name << " for output OK." << std::endl;
+    fout << prolog
+    << "// Table of " << sin_values.size() << " values with "
+      << precision << " decimal digits precision,\n"
+      "// generated by program fft_sines_table.cpp.\n" << std::endl;
+
+  fout << "#include <array> // std::array" << std::endl;
+
+  // Write the table of sines as a C++ array.
+    fout <<  "\nstatic const std::array<double, " << size << "> sines =\n"
+    "{{\n"; // 2nd { needed for some old GCC compiler versions.
+    fout.precision(precision);
+
+    for (unsigned int i = 0U; ;)
+    {
+      fout << "  " << sin_values[i];
+      if (i == sin_values.size()-1)
+      { // next is last value.
+        fout << "\n}};  // array sines\n"; // 2nd } needed for some old GCC compiler versions.
+        break;
+      }
+      else
+      {
+        fout << ",\n";
+        i++;
+      }
+    } // for
+
+    fout.close();
+    std::cout << "Closed file " << sines_name << " for output." << std::endl;
+  }
+//`The output file generated can be seen at [@../../example/sines.hpp]
+
+//] [/fft_sines_table_example_3]
+
+  return EXIT_SUCCESS;
+
+} // int main()
+
+/*
+//[fft_sines_table_example_output
+
+The printed table is:
+
+  1
+  0.70710678118654752440084436210484903928483593768847
+  0.38268343236508977172845998403039886676134456248563
+  0.19509032201612826784828486847702224092769161775195
+  0.098017140329560601994195563888641845861136673167501
+  0.049067674327418014254954976942682658314745363025753
+  0.024541228522912288031734529459282925065466119239451
+  0.012271538285719926079408261951003212140372319591769
+  0.0061358846491544753596402345903725809170578863173913
+  0.003067956762965976270145365490919842518944610213452
+  0.0015339801862847656123036971502640790799548645752374
+  0.00076699031874270452693856835794857664314091945206328
+  0.00038349518757139558907246168118138126339502603496474
+  0.00019174759731070330743990956198900093346887403385916
+  9.5873799095977345870517210976476351187065612851145e-05
+  4.7936899603066884549003990494658872746866687685767e-05
+  2.3968449808418218729186577165021820094761474895673e-05
+  1.1984224905069706421521561596988984804731977538387e-05
+  5.9921124526424278428797118088908617299871778780951e-06
+  2.9960562263346607504548128083570598118251878683408e-06
+  1.4980281131690112288542788461553611206917585861527e-06
+  7.4901405658471572113049856673065563715595930217207e-07
+  3.7450702829238412390316917908463317739740476297248e-07
+  1.8725351414619534486882457659356361712045272098287e-07
+  9.3626757073098082799067286680885620193236507169473e-08
+  4.681337853654909269511551813854009695950362701667e-08
+  2.3406689268274552759505493419034844037886207223779e-08
+  1.1703344634137277181246213503238103798093456639976e-08
+  5.8516723170686386908097901008341396943900085051757e-09
+  2.9258361585343193579282304690689559020175857150074e-09
+  1.4629180792671596805295321618659637103742615227834e-09
+*/
+
+//]  [/fft_sines_table_example_output]
+
+//[fft_sines_table_example_check
+
+/*`
+The output can be copied as text and readily integrated into a given source
+code. Alternatively, the output can be written to a text or even be used
+within a self-written automatic code generator as this example.
+
+A computer algebra system can be used to verify the results obtained from
+Boost.Math and Boost.Multiprecision. For example, the __Mathematica
+computer algebra system can obtain a similar table with the command:
+
+  Table[N[Sin[Pi / (2^n)], 50], {n, 1, 31, 1}]
+
+The __WolframAlpha computational knowledge engine can also be used to generate
+this table. The same command can be pasted into the compute box.
+
+*/
+
+//] [/fft_sines_table_example_check]
diff --git a/src/boost/libs/math/example/find_location_example.cpp b/src/boost/libs/math/example/find_location_example.cpp
new file mode 100644
index 00000000..a20edb8c
--- /dev/null
+++ b/src/boost/libs/math/example/find_location_example.cpp
@@ -0,0 +1,174 @@
+// find_location.cpp
+
+// Copyright Paul A. Bristow 2008, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of finding location (mean)
+// for normal (Gaussian) & Cauchy distribution.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//#ifdef _MSC_VER
+//#  pragma warning(disable: 4180) // qualifier has no effect (in Fusion).
+//#endif
+
+//[find_location1
+/*`
+First we need some includes to access the normal distribution,
+the algorithms to find location (and some std output of course).
+*/
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy; // typedef provides default type is double.
+#include <boost/math/distributions/find_location.hpp>
+  using boost::math::find_location; // for mean
+#include <boost/math/distributions/find_scale.hpp>
+  using boost::math::find_scale; // for standard devation
+  using boost::math::complement; // Needed if you want to use the complement version.
+  using boost::math::policies::policy;
+
+#include <iostream>
+  using std::cout; using std::endl;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+//] [/find_location1]
+
+int main()
+{
+  cout << "Example: Find location (or mean)." << endl;
+  try
+  {
+//[find_location2
+/*`
+For this example, we will use the standard normal distribution,
+with mean (location) zero and standard deviation (scale) unity.
+This is also the default for this implementation.
+*/
+  normal N01;  // Default 'standard' normal distribution with zero mean and
+  double sd = 1.; // normal default standard deviation is 1.
+/*`Suppose we want to find a different normal distribution whose mean is shifted
+so that only fraction p (here 0.001 or 0.1%) are below a certain chosen limit
+(here -2, two standard deviations).
+*/
+  double z = -2.; // z to give prob p
+  double p = 0.001; // only 0.1% below z
+
+  cout << "Normal distribution with mean = " << N01.location()
+    << ", standard deviation " << N01.scale()
+    << ", has " << "fraction <= " << z
+    << ", p = "  << cdf(N01, z) << endl;
+  cout << "Normal distribution with mean = " << N01.location()
+    << ", standard deviation " << N01.scale()
+    << ", has " << "fraction > " << z
+    << ", p = "  << cdf(complement(N01, z)) << endl; // Note: uses complement.
+/*`
+[pre
+Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
+Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
+]
+We can now use ''find_location'' to give a new offset mean.
+*/
+   double l = find_location<normal>(z, p, sd);
+   cout << "offset location (mean) = " << l << endl;
+/*`
+that outputs:
+[pre
+offset location (mean) = 1.09023
+]
+showing that we need to shift the mean just over one standard deviation from its previous value of zero.
+
+Then we can check that we have achieved our objective
+by constructing a new distribution
+with the offset mean (but same standard deviation):
+*/
+  normal np001pc(l, sd); // Same standard_deviation (scale) but with mean (location) shifted.
+/*`
+And re-calculating the fraction below our chosen limit.
+*/
+cout << "Normal distribution with mean = " << l
+    << " has " << "fraction <= " << z
+    << ", p = "  << cdf(np001pc, z) << endl;
+  cout << "Normal distribution with mean = " << l
+    << " has " << "fraction > " << z
+    << ", p = "  << cdf(complement(np001pc, z)) << endl;
+/*`
+[pre
+Normal distribution with mean = 1.09023 has fraction <= -2, p = 0.001
+Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999
+]
+
+[h4 Controlling Error Handling from find_location]
+We can also control the policy for handling various errors.
+For example, we can define a new (possibly unwise)
+policy to ignore domain errors ('bad' arguments).
+
+Unless we are using the boost::math namespace, we will need:
+*/
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+/*`
+Using a typedef is often convenient, especially if it is re-used,
+although it is not required, as the various examples below show.
+*/
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // find_location with new policy, using typedef.
+  l = find_location<normal>(z, p, sd, ignore_domain_policy());
+  // Default policy policy<>, needs "using boost::math::policies::policy;"
+  l = find_location<normal>(z, p, sd, policy<>());
+  // Default policy, fully specified.
+  l = find_location<normal>(z, p, sd, boost::math::policies::policy<>());
+  // A new policy, ignoring domain errors, without using a typedef.
+  l = find_location<normal>(z, p, sd, policy<domain_error<ignore_error> >());
+/*`
+If we want to use a probability that is the __complements of our probability,
+we should not even think of writing `find_location<normal>(z, 1 - p, sd)`,
+but use the complement version, see __why_complements.
+*/
+  z = 2.;
+  double q = 0.95; // = 1 - p; // complement.
+  l = find_location<normal>(complement(z, q, sd));
+
+  normal np95pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted
+  cout << "Normal distribution with mean = " << l << " has "
+    << "fraction <= " << z << " = "  << cdf(np95pc, z) << endl;
+  cout << "Normal distribution with mean = " << l << " has "
+    << "fraction > " << z << " = "  << cdf(complement(np95pc, z)) << endl;
+  //] [/find_location2]
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+//[find_location_example_output
+/*`
+[pre
+Example: Find location (mean).
+Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
+Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
+offset location (mean) = 1.09023
+Normal distribution with mean = 1.09023 has fraction <= -2, p = 0.001
+Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999
+Normal distribution with mean = 0.355146 has fraction <= 2 = 0.95
+Normal distribution with mean = 0.355146 has fraction > 2 = 0.05
+]
+*/
+//] [/find_location_example_output]
diff --git a/src/boost/libs/math/example/find_mean_and_sd_normal.cpp b/src/boost/libs/math/example/find_mean_and_sd_normal.cpp
new file mode 100644
index 00000000..752c06a7
--- /dev/null
+++ b/src/boost/libs/math/example/find_mean_and_sd_normal.cpp
@@ -0,0 +1,413 @@
+// find_mean_and_sd_normal.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of finding mean or sd for normal distribution.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[normal_std
+/*`
+First we need some includes to access the normal distribution,
+the algorithms to find location and scale
+(and some std output of course).
+*/
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy; // typedef provides default type is double.
+#include <boost/math/distributions/find_location.hpp>
+  using boost::math::find_location;
+#include <boost/math/distributions/find_scale.hpp>
+  using boost::math::find_scale;
+  using boost::math::complement;
+  using boost::math::policies::policy;
+
+#include <iostream>
+  using std::cout; using std::endl; using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+#include <stdexcept>
+  
+//] [/normal_std Quickbook]
+
+int main()
+{
+  cout << "Find_location (mean) and find_scale (standard deviation) examples." << endl;
+  try
+  {
+
+//[normal_find_location_and_scale_eg
+
+/*`
+[h4 Using find_location and find_scale to meet dispensing and measurement specifications]
+
+Consider an example from K Krishnamoorthy,
+Handbook of Statistical Distributions with Applications,
+ISBN 1-58488-635-8, (2006) p 126, example 10.3.7.
+
+"A machine is set to pack 3 kg of ground beef per pack.
+Over a long period of time it is found that the average packed was 3 kg
+with a standard deviation of 0.1 kg.
+Assume the packing is normally distributed."
+
+We start by constructing a normal distribution with the given parameters:
+*/
+
+double mean = 3.; // kg
+double standard_deviation = 0.1; // kg
+normal packs(mean, standard_deviation);
+/*`We can then find the fraction (or %) of packages that weigh more than 3.1 kg.
+*/
+
+double max_weight = 3.1; // kg
+cout << "Percentage of packs > " << max_weight << " is "
+<< cdf(complement(packs, max_weight)) * 100. << endl; // P(X > 3.1)
+
+/*`We might want to ensure that 95% of packs are over a minimum weight specification,
+then we want the value of the mean such that P(X < 2.9) = 0.05.
+
+Using the mean of 3 kg, we can estimate
+the fraction of packs that fail to meet the specification of 2.9 kg.
+*/
+
+double minimum_weight = 2.9;
+cout <<"Fraction of packs <= " << minimum_weight << " with a mean of " << mean
+  << " is " << cdf(complement(packs, minimum_weight)) << endl;
+// fraction of packs <= 2.9 with a mean of 3 is 0.841345
+
+/*`This is 0.84 - more than the target fraction of 0.95.
+If we want 95% to be over the minimum weight,
+what should we set the mean weight to be?
+
+Using the KK StatCalc program supplied with the book and the method given on page 126 gives 3.06449.
+
+We can confirm this by constructing a new distribution which we call 'xpacks'
+with a safety margin mean of 3.06449 thus:
+*/
+double over_mean = 3.06449;
+normal xpacks(over_mean, standard_deviation);
+cout << "Fraction of packs >= " << minimum_weight
+<< " with a mean of " << xpacks.mean()
+  << " is " << cdf(complement(xpacks, minimum_weight)) << endl;
+// fraction of packs >= 2.9 with a mean of 3.06449 is 0.950005
+
+/*`Using this Math Toolkit, we can calculate the required mean directly thus:
+*/
+double under_fraction = 0.05;  // so 95% are above the minimum weight mean - sd = 2.9
+double low_limit = standard_deviation;
+double offset = mean - low_limit - quantile(packs, under_fraction);
+double nominal_mean = mean + offset;
+// mean + (mean - low_limit - quantile(packs, under_fraction));
+
+normal nominal_packs(nominal_mean, standard_deviation);
+cout << "Setting the packer to " << nominal_mean << " will mean that "
+  << "fraction of packs >= " << minimum_weight
+  << " is " << cdf(complement(nominal_packs, minimum_weight)) << endl;
+// Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95
+
+/*`
+This calculation is generalized as the free function called `find_location`,
+see __algorithms.
+
+To use this we will need to
+*/
+
+#include <boost/math/distributions/find_location.hpp>
+  using boost::math::find_location;
+/*`and then use find_location function to find safe_mean,
+& construct a new normal distribution called 'goodpacks'.
+*/
+double safe_mean = find_location<normal>(minimum_weight, under_fraction, standard_deviation);
+normal good_packs(safe_mean, standard_deviation);
+/*`with the same confirmation as before:
+*/
+cout << "Setting the packer to " << nominal_mean << " will mean that "
+  << "fraction of packs >= " << minimum_weight
+  << " is " << cdf(complement(good_packs, minimum_weight)) << endl;
+// Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95
+
+/*`
+[h4 Using Cauchy-Lorentz instead of normal distribution]
+
+After examining the weight distribution of a large number of packs, we might decide that,
+after all, the assumption of a normal distribution is not really justified.
+We might find that the fit is better to a __cauchy_distrib.
+This distribution has wider 'wings', so that whereas most of the values
+are closer to the mean than the normal, there are also more values than 'normal'
+that lie further from the mean than the normal.
+
+This might happen because a larger than normal lump of meat is either included or excluded.
+
+We first create a __cauchy_distrib with the original mean and standard deviation,
+and estimate the fraction that lie below our minimum weight specification.
+*/
+
+cauchy cpacks(mean, standard_deviation);
+cout << "Cauchy Setting the packer to " << mean << " will mean that "
+  << "fraction of packs >= " << minimum_weight
+  << " is " << cdf(complement(cpacks, minimum_weight)) << endl;
+// Cauchy Setting the packer to 3 will mean that fraction of packs >= 2.9 is 0.75
+
+/*`Note that far fewer of the packs meet the specification, only 75% instead of 95%.
+Now we can repeat the find_location, using the cauchy distribution as template parameter,
+in place of the normal used above.
+*/
+
+double lc = find_location<cauchy>(minimum_weight, under_fraction, standard_deviation);
+cout << "find_location<cauchy>(minimum_weight, over fraction, standard_deviation); " << lc << endl;
+// find_location<cauchy>(minimum_weight, over fraction, packs.standard_deviation()); 3.53138
+/*`Note that the safe_mean setting needs to be much higher, 3.53138 instead of 3.06449,
+so we will make rather less profit.
+
+And again confirm that the fraction meeting specification is as expected.
+*/
+cauchy goodcpacks(lc, standard_deviation);
+cout << "Cauchy Setting the packer to " << lc << " will mean that "
+  << "fraction of packs >= " << minimum_weight
+  << " is " << cdf(complement(goodcpacks, minimum_weight)) << endl;
+// Cauchy Setting the packer to 3.53138 will mean that fraction of packs >= 2.9 is 0.95
+
+/*`Finally we could estimate the effect of a much tighter specification,
+that 99% of packs met the specification.
+*/
+
+cout << "Cauchy Setting the packer to "
+  << find_location<cauchy>(minimum_weight, 0.99, standard_deviation)
+  << " will mean that "
+  << "fraction of packs >= " << minimum_weight
+  << " is " << cdf(complement(goodcpacks, minimum_weight)) << endl;
+
+/*`Setting the packer to 3.13263 will mean that fraction of packs >= 2.9 is 0.99,
+but will more than double the mean loss from 0.0644 to 0.133 kg per pack.
+
+Of course, this calculation is not limited to packs of meat, it applies to dispensing anything,
+and it also applies to a 'virtual' material like any measurement.
+
+The only caveat is that the calculation assumes that the standard deviation (scale) is known with
+a reasonably low uncertainty, something that is not so easy to ensure in practice.
+And that the distribution is well defined, __normal_distrib or __cauchy_distrib, or some other.
+
+If one is simply dispensing a very large number of packs,
+then it may be feasible to measure the weight of hundreds or thousands of packs.
+With a healthy 'degrees of freedom', the confidence intervals for the standard deviation
+are not too wide, typically about + and - 10% for hundreds of observations.
+
+For other applications, where it is more difficult or expensive to make many observations,
+the confidence intervals are depressingly wide.
+
+See [link math_toolkit.stat_tut.weg.cs_eg.chi_sq_intervals Confidence Intervals on the standard deviation]
+for a worked example
+[@../../example/chi_square_std_dev_test.cpp chi_square_std_dev_test.cpp]
+of estimating these intervals.
+
+
+[h4 Changing the scale or standard deviation]
+
+Alternatively, we could invest in a better (more precise) packer
+(or measuring device) with a lower standard deviation, or scale.
+
+This might cost more, but would reduce the amount we have to 'give away'
+in order to meet the specification.
+
+To estimate how much better (how much smaller standard deviation) it would have to be,
+we need to get the 5% quantile to be located at the under_weight limit, 2.9
+*/
+double p = 0.05; // wanted p th quantile.
+cout << "Quantile of " << p << " = " << quantile(packs, p)
+  << ", mean = " << packs.mean() << ", sd = " << packs.standard_deviation() << endl;
+/*`
+Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+
+With the current packer (mean = 3, sd = 0.1), the 5% quantile is at 2.8551 kg,
+a little below our target of 2.9 kg.
+So we know that the standard deviation is going to have to be smaller.
+
+Let's start by guessing that it (now 0.1) needs to be halved, to a standard deviation of 0.05 kg.
+*/
+normal pack05(mean, 0.05);
+cout << "Quantile of " << p << " = " << quantile(pack05, p)
+  << ", mean = " << pack05.mean() << ", sd = " << pack05.standard_deviation() << endl;
+// Quantile of 0.05 = 2.91776, mean = 3, sd = 0.05
+
+cout <<"Fraction of packs >= " << minimum_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack05.standard_deviation()
+  << " is " << cdf(complement(pack05, minimum_weight)) << endl;
+// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.97725
+/*`
+So 0.05 was quite a good guess, but we are a little over the 2.9 target,
+so the standard deviation could be a tiny bit more. So we could do some
+more guessing to get closer, say by increasing standard deviation to 0.06 kg,
+constructing another new distribution called pack06.
+*/
+normal pack06(mean, 0.06);
+cout << "Quantile of " << p << " = " << quantile(pack06, p)
+  << ", mean = " << pack06.mean() << ", sd = " << pack06.standard_deviation() << endl;
+// Quantile of 0.05 = 2.90131, mean = 3, sd = 0.06
+
+cout <<"Fraction of packs >= " << minimum_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack06.standard_deviation()
+  << " is " << cdf(complement(pack06, minimum_weight)) << endl;
+// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.95221
+/*`
+Now we are getting really close, but to do the job properly,
+we might need to use root finding method, for example the tools provided,
+and used elsewhere, in the Math Toolkit, see __root_finding_without_derivatives
+
+But in this (normal) distribution case, we can and should be even smarter
+and make a direct calculation.
+*/
+
+/*`Our required limit is minimum_weight = 2.9 kg, often called the random variate z.
+For a standard normal distribution, then probability p = N((minimum_weight - mean) / sd).
+
+We want to find the standard deviation that would be required to meet this limit,
+so that the p th quantile is located at z (minimum_weight).
+In this case, the 0.05 (5%) quantile is at 2.9 kg pack weight, when the mean is 3 kg,
+ensuring that 0.95 (95%) of packs are above the minimum weight.
+
+Rearranging, we can directly calculate the required standard deviation:
+*/
+normal N01; // standard normal distribution with mean zero and unit standard deviation.
+p = 0.05;
+double qp = quantile(N01, p);
+double sd95 = (minimum_weight - mean) / qp;
+
+cout << "For the "<< p << "th quantile to be located at "
+  << minimum_weight << ", would need a standard deviation of " << sd95 << endl;
+// For the 0.05th quantile to be located at 2.9, would need a standard deviation of 0.0607957
+
+/*`We can now construct a new (normal) distribution pack95 for the 'better' packer,
+and check that our distribution will meet the specification.
+*/
+
+normal pack95(mean, sd95);
+cout <<"Fraction of packs >= " << minimum_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack95.standard_deviation()
+  << " is " << cdf(complement(pack95, minimum_weight)) << endl;
+// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95
+
+/*`This calculation is generalized in the free function find_scale,
+as shown below, giving the same standard deviation.
+*/
+double ss = find_scale<normal>(minimum_weight, under_fraction, packs.mean());
+cout << "find_scale<normal>(minimum_weight, under_fraction, packs.mean()); " << ss << endl;
+// find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957
+
+/*`If we had defined an over_fraction, or percentage that must pass specification
+*/
+double over_fraction = 0.95;
+/*`And (wrongly) written
+
+ double sso = find_scale<normal>(minimum_weight, over_fraction, packs.mean());
+
+With the default policy, we would get a message like
+
+[pre
+Message from thrown exception was:
+   Error in function boost::math::find_scale<Dist, Policy>(double, double, double, Policy):
+   Computed scale (-0.060795683191176959) is <= 0! Was the complement intended?
+]
+
+But this would return a *negative* standard deviation - obviously impossible.
+The probability should be 1 - over_fraction, not over_fraction, thus:
+*/
+
+double ss1o = find_scale<normal>(minimum_weight, 1 - over_fraction, packs.mean());
+cout << "find_scale<normal>(minimum_weight, under_fraction, packs.mean()); " << ss1o << endl;
+// find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957
+
+/*`But notice that using '1 - over_fraction' - will lead to a
+loss of accuracy, especially if over_fraction was close to unity. (See __why_complements).
+In this (very common) case, we should instead use the __complements,
+giving the most accurate result.
+*/
+
+double ssc = find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean()));
+cout << "find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean())); " << ssc << endl;
+// find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean())); 0.0607957
+
+/*`Note that our guess of 0.06 was close to the accurate value of 0.060795683191176959.
+
+We can again confirm our prediction thus:
+*/
+
+normal pack95c(mean, ssc);
+cout <<"Fraction of packs >= " << minimum_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack95c.standard_deviation()
+  << " is " << cdf(complement(pack95c, minimum_weight)) << endl;
+// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95
+
+/*`Notice that these two deceptively simple questions:
+
+* Do we over-fill to make sure we meet a minimum specification (or under-fill to avoid an overdose)?
+
+and/or
+
+* Do we measure better?
+
+are actually extremely common.
+
+The weight of beef might be replaced by a measurement of more or less anything,
+from drug tablet content, Apollo landing rocket firing, X-ray treatment doses...
+
+The scale can be variation in dispensing or uncertainty in measurement.
+*/
+//] [/normal_find_location_and_scale_eg Quickbook end]
+
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << endl;
+  }
+  return 0;
+}  // int main()
+
+
+/*
+
+Output is:
+
+//[normal_find_location_and_scale_output
+
+Find_location (mean) and find_scale (standard deviation) examples.
+Percentage of packs > 3.1 is 15.8655
+Fraction of packs <= 2.9 with a mean of 3 is 0.841345
+Fraction of packs >= 2.9 with a mean of 3.06449 is 0.950005
+Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95
+Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95
+Cauchy Setting the packer to 3 will mean that fraction of packs >= 2.9 is 0.75
+find_location<cauchy>(minimum_weight, over fraction, standard_deviation); 3.53138
+Cauchy Setting the packer to 3.53138 will mean that fraction of packs >= 2.9 is 0.95
+Cauchy Setting the packer to -0.282052 will mean that fraction of packs >= 2.9 is 0.95
+Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+Quantile of 0.05 = 2.91776, mean = 3, sd = 0.05
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.97725
+Quantile of 0.05 = 2.90131, mean = 3, sd = 0.06
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.95221
+For the 0.05th quantile to be located at 2.9, would need a standard deviation of 0.0607957
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95
+find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957
+find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957
+find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean())); 0.0607957
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95
+
+//] [/normal_find_location_and_scale_eg_output]
+
+*/
+
+
+
diff --git a/src/boost/libs/math/example/find_root_example.cpp b/src/boost/libs/math/example/find_root_example.cpp
new file mode 100644
index 00000000..e944e09e
--- /dev/null
+++ b/src/boost/libs/math/example/find_root_example.cpp
@@ -0,0 +1,169 @@
+// find_root_example.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of using root finding.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[root_find1
+/*`
+First we need some includes to access the normal distribution
+(and some std output of course).
+*/
+
+#include <boost/math/tools/roots.hpp> // root finding.
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+
+#include <iostream>
+  using std::cout; using std::endl; using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+#include <stdexcept>
+  
+
+//] //[/root_find1]
+
+int main()
+{
+  cout << "Example: Normal distribution, root finding.";
+  try
+  {
+
+//[root_find2
+
+/*`A machine is set to pack 3 kg of ground beef per pack.
+Over a long period of time it is found that the average packed was 3 kg
+with a standard deviation of 0.1 kg.
+Assuming the packing is normally distributed,
+we can find the fraction (or %) of packages that weigh more than 3.1 kg.
+*/
+
+double mean = 3.; // kg
+double standard_deviation = 0.1; // kg
+normal packs(mean, standard_deviation);
+
+double max_weight = 3.1; // kg
+cout << "Percentage of packs > " << max_weight << " is "
+<< cdf(complement(packs, max_weight)) << endl; // P(X > 3.1)
+
+double under_weight = 2.9;
+cout <<"fraction of packs <= " << under_weight << " with a mean of " << mean
+  << " is " << cdf(complement(packs, under_weight)) << endl;
+// fraction of packs <= 2.9 with a mean of 3 is 0.841345
+// This is 0.84 - more than the target 0.95
+// Want 95% to be over this weight, so what should we set the mean weight to be?
+// KK StatCalc says:
+double over_mean = 3.0664;
+normal xpacks(over_mean, standard_deviation);
+cout << "fraction of packs >= " << under_weight
+<< " with a mean of " << xpacks.mean()
+  << " is " << cdf(complement(xpacks, under_weight)) << endl;
+// fraction of packs >= 2.9 with a mean of 3.06449 is 0.950005
+double under_fraction = 0.05;  // so 95% are above the minimum weight mean - sd = 2.9
+double low_limit = standard_deviation;
+double offset = mean - low_limit - quantile(packs, under_fraction);
+double nominal_mean = mean + offset;
+
+normal nominal_packs(nominal_mean, standard_deviation);
+cout << "Setting the packer to " << nominal_mean << " will mean that "
+  << "fraction of packs >= " << under_weight
+  << " is " << cdf(complement(nominal_packs, under_weight)) << endl;
+
+/*`
+Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95.
+
+Setting the packer to 3.13263 will mean that fraction of packs >= 2.9 is 0.99,
+but will more than double the mean loss from 0.0644 to 0.133.
+
+Alternatively, we could invest in a better (more precise) packer with a lower standard deviation.
+
+To estimate how much better (how much smaller standard deviation) it would have to be,
+we need to get the 5% quantile to be located at the under_weight limit, 2.9
+*/
+double p = 0.05; // wanted p th quantile.
+cout << "Quantile of " << p << " = " << quantile(packs, p)
+  << ", mean = " << packs.mean() << ", sd = " << packs.standard_deviation() << endl; //
+/*`
+Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+
+With the current packer (mean = 3, sd = 0.1), the 5% quantile is at 2.8551 kg,
+a little below our target of 2.9 kg.
+So we know that the standard deviation is going to have to be smaller.
+
+Let's start by guessing that it (now 0.1) needs to be halved, to a standard deviation of 0.05
+*/
+normal pack05(mean, 0.05);
+cout << "Quantile of " << p << " = " << quantile(pack05, p)
+  << ", mean = " << pack05.mean() << ", sd = " << pack05.standard_deviation() << endl;
+
+cout <<"Fraction of packs >= " << under_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack05.standard_deviation()
+  << " is " << cdf(complement(pack05, under_weight)) << endl;
+//
+/*`
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.9772
+
+So 0.05 was quite a good guess, but we are a little over the 2.9 target,
+so the standard deviation could be a tiny bit more. So we could do some
+more guessing to get closer, say by increasing to 0.06
+*/
+
+normal pack06(mean, 0.06);
+cout << "Quantile of " << p << " = " << quantile(pack06, p)
+  << ", mean = " << pack06.mean() << ", sd = " << pack06.standard_deviation() << endl;
+
+cout <<"Fraction of packs >= " << under_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack06.standard_deviation()
+  << " is " << cdf(complement(pack06, under_weight)) << endl;
+/*`
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.9522
+
+Now we are getting really close, but to do the job properly,
+we could use root finding method, for example the tools provided, and used elsewhere,
+in the Math Toolkit, see __root_finding_without_derivatives.
+
+But in this normal distribution case, we could be even smarter and make a direct calculation.
+*/
+//] [/root_find2]
+
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+/*
+Output is:
+
+//[root_find_output
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\find_root_example.exe"
+Example: Normal distribution, root finding.Percentage of packs > 3.1 is 0.158655
+fraction of packs <= 2.9 with a mean of 3 is 0.841345
+fraction of packs >= 2.9 with a mean of 3.0664 is 0.951944
+Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95
+Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+Quantile of 0.05 = 2.91776, mean = 3, sd = 0.05
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.97725
+Quantile of 0.05 = 2.90131, mean = 3, sd = 0.06
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.95221
+
+//] [/root_find_output]
+*/
diff --git a/src/boost/libs/math/example/find_scale_example.cpp b/src/boost/libs/math/example/find_scale_example.cpp
new file mode 100644
index 00000000..29e474f0
--- /dev/null
+++ b/src/boost/libs/math/example/find_scale_example.cpp
@@ -0,0 +1,180 @@
+// find_scale.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of finding scale (standard deviation) for normal (Gaussian).
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[find_scale1
+/*`
+First we need some includes to access the __normal_distrib,
+the algorithms to find scale (and some std output of course).
+*/
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+#include <boost/math/distributions/find_scale.hpp>
+  using boost::math::find_scale;
+  using boost::math::complement; // Needed if you want to use the complement version.
+  using boost::math::policies::policy; // Needed to specify the error handling policy.
+
+#include <iostream>
+  using std::cout; using std::endl;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+//] [/find_scale1]
+
+int main()
+{
+  cout << "Example: Find scale (standard deviation)." << endl;
+  try
+  {
+//[find_scale2
+/*`
+For this example, we will use the standard __normal_distrib,
+with location (mean) zero and standard deviation (scale) unity.
+Conveniently, this is also the default for this implementation's constructor.
+*/
+  normal N01;  // Default 'standard' normal distribution with zero mean
+  double sd = 1.; // and standard deviation is 1.
+/*`Suppose we want to find a different normal distribution with standard deviation
+so that only fraction p (here 0.001 or 0.1%) are below a certain chosen limit
+(here -2. standard deviations).
+*/
+  double z = -2.; // z to give prob p
+  double p = 0.001; // only 0.1% below z = -2
+
+  cout << "Normal distribution with mean = " << N01.location()  // aka N01.mean()
+    << ", standard deviation " << N01.scale() // aka N01.standard_deviation()
+    << ", has " << "fraction <= " << z
+    << ", p = "  << cdf(N01, z) << endl;
+  cout << "Normal distribution with mean = " << N01.location()
+    << ", standard deviation " << N01.scale()
+    << ", has " << "fraction > " << z
+    << ", p = "  << cdf(complement(N01, z)) << endl; // Note: uses complement.
+/*`
+[pre
+Normal distribution with mean = 0 has fraction <= -2, p = 0.0227501
+Normal distribution with mean = 0 has fraction > -2, p = 0.97725
+]
+Noting that p = 0.02 instead of our target of 0.001,
+we can now use `find_scale` to give a new standard deviation.
+*/
+   double l = N01.location();
+   double s = find_scale<normal>(z, p, l);
+   cout << "scale (standard deviation) = " << s << endl;
+/*`
+that outputs:
+[pre
+scale (standard deviation) = 0.647201
+]
+showing that we need to reduce the standard deviation from 1. to 0.65.
+
+Then we can check that we have achieved our objective
+by constructing a new distribution
+with the new standard deviation (but same zero mean):
+*/
+  normal np001pc(N01.location(), s);
+/*`
+And re-calculating the fraction below (and above) our chosen limit.
+*/
+  cout << "Normal distribution with mean = " << l
+    << " has " << "fraction <= " << z
+    << ", p = "  << cdf(np001pc, z) << endl;
+  cout << "Normal distribution with mean = " << l
+    << " has " << "fraction > " << z
+    << ", p = "  << cdf(complement(np001pc, z)) << endl;
+/*`
+[pre
+Normal distribution with mean = 0 has fraction <= -2, p = 0.001
+Normal distribution with mean = 0 has fraction > -2, p = 0.999
+]
+
+[h4 Controlling how Errors from find_scale are handled]
+We can also control the policy for handling various errors.
+For example, we can define a new (possibly unwise)
+policy to ignore domain errors ('bad' arguments).
+
+Unless we are using the boost::math namespace, we will need:
+*/
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+/*`
+Using a typedef is convenient, especially if it is re-used,
+although it is not required, as the various examples below show.
+*/
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // find_scale with new policy, using typedef.
+  l = find_scale<normal>(z, p, l, ignore_domain_policy());
+  // Default policy policy<>, needs using boost::math::policies::policy;
+
+  l = find_scale<normal>(z, p, l, policy<>());
+  // Default policy, fully specified.
+  l = find_scale<normal>(z, p, l, boost::math::policies::policy<>());
+  // New policy, without typedef.
+  l = find_scale<normal>(z, p, l, policy<domain_error<ignore_error> >());
+/*`
+If we want to express a probability, say 0.999, that is a complement, `1 - p`
+we should not even think of writing `find_scale<normal>(z, 1 - p, l)`,
+but use the __complements version (see __why_complements).
+*/
+  z = -2.;
+  double q = 0.999; // = 1 - p; // complement of 0.001.
+  sd = find_scale<normal>(complement(z, q, l));
+
+  normal np95pc(l, sd); // Same standard_deviation (scale) but with mean(scale) shifted
+  cout << "Normal distribution with mean = " << l << " has "
+    << "fraction <= " << z << " = "  << cdf(np95pc, z) << endl;
+  cout << "Normal distribution with mean = " << l << " has "
+    << "fraction > " << z << " = "  << cdf(complement(np95pc, z)) << endl;
+
+/*`
+Sadly, it is all too easy to get probabilities the wrong way round,
+when you may get a warning like this:
+[pre
+Message from thrown exception was:
+   Error in function boost::math::find_scale<Dist, Policy>(complement(double, double, double, Policy)):
+   Computed scale (-0.48043523852179076) is <= 0! Was the complement intended?
+]
+The default error handling policy is to throw an exception with this message,
+but if you chose a policy to ignore the error,
+the (impossible) negative scale is quietly returned.
+*/
+//] [/find_scale2]
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+//[find_scale_example_output
+/*`
+[pre
+Example: Find scale (standard deviation).
+Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
+Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
+scale (standard deviation) = 0.647201
+Normal distribution with mean = 0 has fraction <= -2, p = 0.001
+Normal distribution with mean = 0 has fraction > -2, p = 0.999
+Normal distribution with mean = 0.946339 has fraction <= -2 = 0.001
+Normal distribution with mean = 0.946339 has fraction > -2 = 0.999
+]
+*/
+//] [/find_scale_example_output]
diff --git a/src/boost/libs/math/example/float128_example.cpp b/src/boost/libs/math/example/float128_example.cpp
new file mode 100644
index 00000000..23e01666
--- /dev/null
+++ b/src/boost/libs/math/example/float128_example.cpp
@@ -0,0 +1,289 @@
+//  Copyright John Maddock 2016
+//  Copyright Christopher Kormanyos 2016.
+//  Copyright Paul A. Bristow 2016.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Contains Quickbook snippets as C++ comments - do not remove.
+
+// http://gcc.gnu.org/onlinedocs/libquadmath/ GCC Quad-Precision Math Library
+// https://en.wikipedia.org/wiki/Quadruple-precision_floating-point_format
+
+// https://gcc.gnu.org/onlinedocs/gcc/C_002b_002b-Dialect-Options.html#C_002b_002b-Dialect-Options GNU 3.5 Options Controlling C++ Dialect
+// https://gcc.gnu.org/onlinedocs/gcc/C-Dialect-Options.html#C-Dialect-Options 3.4 Options Controlling C Dialect
+
+//[float128_includes_1
+
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+//#include <boost/config.hpp>
+#include <boost/multiprecision/float128.hpp>
+#include <boost/math/special_functions.hpp> // For gamma function.
+#include <boost/math/constants/constants.hpp> // For constants pi, e ...
+#include <typeinfo> //
+
+#include <cmath>  // for pow function.
+
+// #include <quadmath.h>
+// C:\program files\gcc-6-win64\lib\gcc\x86_64-w64-mingw32\6.1.1\include\quadmath.h
+
+// i:\modular-boost\boost\multiprecision\float128.hpp|210|  undefined reference to `quadmath_snprintf'.
+
+//] [/float128_includes_1]
+
+//[float128_dialect_1
+/*`To make float128 available it is vital to get the dialect and options on the command line correct.
+
+Quad type is forbidden by all the strict C++ standards, so using or adding -std=c++11 and later standards will prevent its use.
+so explicitly use -std=gnu++11, 1y, 14, 17, or 1z or ...
+
+For GCC 6.1.1, for example, the default is if no C++ language dialect options are given, is -std=gnu++14.
+
+See https://gcc.gnu.org/onlinedocs/gcc/C-Dialect-Options.html#C-Dialect-Options
+https://gcc.gnu.org/onlinedocs/gcc/Standards.html#Standards 2 Language Standards Supported by GCC
+
+ g++.exe -Wall -fexceptions -std=gnu++17 -g -fext-numeric-literals -fpermissive -lquadmath
+  -II:\modular-boost\libs\math\include -Ii:\modular-boost -c J:\Cpp\float128\float128\float128_example.cpp -o obj\Debug\float128_example.o
+
+Requires GCC linker option -lquadmath
+
+If this is missing, then get errors like:
+
+  \modular-boost\boost\multiprecision\float128.hpp|210|undefined reference to `quadmath_snprintf'|
+  \modular-boost\boost\multiprecision\float128.hpp|351|undefined reference to `sqrtq'|
+
+Requires compile option
+
+  -fext-numeric-literals
+
+If missing, then get errors like:
+
+\modular-boost\libs\math\include/boost/math/cstdfloat/cstdfloat_types.hpp:229:43: error: unable to find numeric literal operator 'operator""Q'
+
+A successful build log was:
+
+  g++.exe -Wall -std=c++11 -fexceptions -std=gnu++17 -g -fext-numeric-literals -II:\modular-boost\libs\math\include -Ii:\modular-boost -c J:\Cpp\float128\float128\float128_example.cpp -o obj\Debug\float128_example.o
+  g++.exe  -o bin\Debug\float128.exe obj\Debug\float128_example.o  -lquadmath
+*/
+
+//] [/float128_dialect_1]
+
+void show_versions(std::string title)
+{
+  std::cout << title << std::endl;
+
+  std::cout << "Platform: " << BOOST_PLATFORM << '\n'
+    << "Compiler: " << BOOST_COMPILER << '\n'
+    << "STL     : " << BOOST_STDLIB << '\n'
+    << "Boost   : " << BOOST_VERSION / 100000 << "."
+    << BOOST_VERSION / 100 % 1000 << "."
+    << BOOST_VERSION % 100
+    << std::endl;
+#ifdef _MSC_VER
+  std::cout << "_MSC_FULL_VER = " << _MSC_FULL_VER << std::endl; // VS 2015 190023026
+#if defined _M_IX86
+  std::cout << "(x86)" << std::endl;
+#endif
+#if defined _M_X64
+  std::cout << " (x64)" << std::endl;
+#endif
+#if defined _M_IA64
+  std::cout << " (Itanium)" << std::endl;
+#endif
+  // Something very wrong if more than one is defined (so show them in all just in case)!
+#endif // _MSC_VER
+#ifdef __GNUC__
+//PRINT_MACRO(__GNUC__);
+//PRINT_MACRO(__GNUC_MINOR__);
+//PRINT_MACRO(__GNUC_PATCH__);
+std::cout << "GCC " << __VERSION__  << std::endl;
+//PRINT_MACRO(LONG_MAX);
+#endif // __GNUC__
+  return;
+} // void show_version(std::string title)
+
+int main()
+{
+  try
+  {
+
+//[float128_example_3
+// Always use try'n'catch blocks to ensure any error messages are displayed.
+//`Ensure that all possibly significant digits (17) including trailing zeros are shown.
+
+    std::cout.precision(std::numeric_limits<boost::float64_t>::max_digits10);
+    std::cout.setf(std::ios::showpoint); // Show all significant trailing zeros.
+ //] [/ float128_example_3]
+
+#ifdef BOOST_FLOAT128_C
+  std::cout << "Floating-point type boost::float128_t is available." << std::endl;
+    std::cout << "  std::numeric_limits<boost::float128_t>::digits10 == "
+    << std::numeric_limits<boost::float128_t>::digits10 << std::endl;
+  std::cout << "  std::numeric_limits<boost::float128_t>::max_digits10 == "
+    << std::numeric_limits<boost::float128_t>::max_digits10 << std::endl;
+#else
+  std::cout << "Floating-point type boost::float128_t is NOT available." << std::endl;
+#endif
+
+  show_versions("");
+
+  using boost::multiprecision::float128;  // Wraps, for example, __float128 or _Quad.
+  // or
+  //using namespace boost::multiprecision;
+
+  std::cout.precision(std::numeric_limits<float128>::max_digits10);  // Show all potentially meaningful digits.
+  std::cout.setf(std::ios::showpoint); // Show all significant trailing zeros.
+
+  // float128 pi0 = boost::math::constants::pi(); // Compile fails - need to specify a type for the constant!
+
+  float128 pi1 = boost::math::constants::pi<float128>();  // Returns a constant of type float128.
+  std::cout << sqrt(pi1) << std::endl; // 1.77245385090551602729816748334114514
+
+  float128 pi2 = boost::math::constants::pi<__float128>(); // Constant of type __float128 gets converted to float128 on the assignment.
+  std::cout << sqrt(pi2) << std::endl; // 1.77245385090551602729816748334114514
+
+  // DIY decimal digit literal constant, with suffix Q.
+  float128 pi3 = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348Q;
+  std::cout << sqrt(pi3) << std::endl; // 1.77245385090551602729816748334114514
+
+  // Compare to ready-rolled sqrt(pi) constant from Boost.Math:
+  std::cout << boost::math::constants::root_pi<float128>() << std::endl; // 1.77245385090551602729816748334114514
+
+   // DIY decimal digit literal constant, without suffix Q, suffering seventeen silent digits loss of precision!
+  float128 pi4 = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348;
+  std::cout << sqrt(pi4) << std::endl; // 1.77245385090551599275151910313924857
+
+  // float128 variables constructed from a quad-type literal can be declared constexpr if required:
+
+#ifndef BOOST_NO_CXX11_CONSTEXPR
+  constexpr float128 pi_constexpr = 3.1415926535897932384626433832795028841971693993751058Q;
+#endif
+  std::cout << pi_constexpr << std::endl; // 3.14159265358979323846264338327950280
+
+  // But sadly functions like sqrt are not yet available constexpr for float128.
+
+  // constexpr float128 root_pi_constexpr = sqrt(pi_constexpr);  // Fails - not constexpr (yet).
+  // constexpr float128 root_pi_constexpr = std::sqrt(pi_constexpr);  // Fails - no known conversion for argument 1 from 'const float128'.
+  // constexpr float128 root_pi_constexpr = sqrt(pi_constexpr); // Call to non-constexpr
+  // constexpr float128 root_pi_constexpr = boost::math::constants::root_pi(); // Missing type for constant.
+
+  // Best current way to get a constexpr is to use a Boost.Math constant if one is available.
+  constexpr float128 root_pi_constexpr = boost::math::constants::root_pi<float128>();
+  std::cout << root_pi_constexpr << std::endl; // 1.77245385090551602729816748334114514
+
+  // Note that casts within the sqrt call are NOT NEEDED (nor allowed),
+  // since all the variables are the correct type to begin with.
+  // std::cout << sqrt<float128>(pi3) << std::endl;
+  // But note examples of catastrophic (but hard to see) loss of precision below.
+
+  // Note also that the library functions, here sqrt, is NOT defined using std::sqrt,
+  // so that the correct overload is found using Argument Dependent LookUp (ADL).
+
+  float128 ee = boost::math::constants::e<float128>();
+   std::cout << ee << std::endl;  // 2.71828182845904523536028747135266231
+
+  float128 e1 = exp(1.Q); // Note argument to exp is type float128.
+  std::cout << e1 << std::endl; // 2.71828182845904523536028747135266231
+
+  // Beware - it is all too easy to silently get a much lower precision by mistake.
+
+  float128 e1d = exp(1.); // Caution - only double 17 decimal digits precision!
+  std::cout << e1d << std::endl; // 2.71828182845904509079559829842764884
+
+  float128 e1i = exp(1); // Caution int promoted to double so only 17 decimal digits precision!
+  std::cout << e1i << std::endl; // 2.71828182845904509079559829842764884
+
+  float f1 = 1.F;
+  float128 e1f = exp(f1); // Caution float so only 6 decimal digits precision out of 36!
+  std::cout << e1f << std::endl; // 2.71828174591064453125000000000000000
+
+  // In all these cases you get what you asked for and not what you expected or wanted.
+
+  // Casting is essential if you start with a lower precision type.
+
+  float128 e1q = exp(static_cast<float128>(f1)); // Full 36 decimal digits precision!
+  std::cout << e1q << std::endl; // 2.71828182845904523536028747135266231
+
+  float128 e1qc = exp((float128)f1); // Full 36 decimal digits precision!
+  std::cout << e1qc << std::endl; // 2.71828182845904523536028747135266231
+
+  float128 e1qcc = exp(float128(f1)); // Full 36 decimal digits precision!
+  std::cout << e1qcc << std::endl; // 2.71828182845904523536028747135266231
+
+  //float128 e1q = exp<float128>(1.); // Compile fails.
+  // std::cout << e1q << std::endl; //
+
+// http://en.cppreference.com/w/cpp/language/typeid
+// The name()is implementation-dependent mangled, and may not be able to be output.
+// The example showing output using one of the implementations where type_info::name prints full type names;
+// filter through c++filt -t if using gcc or similar.
+
+//[float128_type_info
+const std::type_info& tifu128 = typeid(__float128); // OK.
+//std::cout << tifu128.name() << std::endl; // On GCC, aborts (because not printable string).
+//std::cout << typeid(__float128).name() << std::endl; // Aborts -
+//  string name cannot be output.
+
+const std::type_info& tif128 = typeid(float128); // OK.
+std::cout << tif128.name() << std::endl; // OK.
+std::cout << typeid(float128).name() << std::endl; // OK.
+
+const std::type_info& tpi = typeid(pi1); // OK using GCC 6.1.1.
+// (from GCC 5 according to http://gcc.gnu.org/bugzilla/show_bug.cgi?id=43622)
+std::cout << tpi.name() << std::endl; // OK, Output implementation-dependent mangled name:
+
+// N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE
+
+//] [/float128_type_info]
+
+  }
+  catch (std::exception ex)
+  { // Display details about why any exceptions are thrown.
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+} // int main()
+
+/*
+[float128_output
+
+-std=c++11 or -std=c++17 don't work
+
+Floating-point type boost::float128_t is NOT available.
+
+Platform: Win32
+Compiler: GNU C++ version 6.1.1 20160609
+STL     : GNU libstdc++ version 20160609
+Boost   : 1.62.0
+GCC 6.1.1 20160609
+
+
+Added -fext-numeric-literals to
+
+-std=gnu++11 -fext-numeric-literals -lquadmath
+
+Floating-point type boost::float128_t is available.
+  std::numeric_limits<boost::float128_t>::digits10 == 33
+  std::numeric_limits<boost::float128_t>::max_digits10 == 36
+
+Platform: Win32
+Compiler: GNU C++ version 6.1.1 20160609
+STL     : GNU libstdc++ version 20160609
+Boost   : 1.62.0
+GCC 6.1.1 20160609
+1.77245385090551602729816748334114514
+1.77245385090551602729816748334114514
+1.77245385090551602729816748334114514
+1.77245385090551602729816748334114514
+N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE
+N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE
+N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE
+
+Process returned 0 (0x0)   execution time : 0.033 s
+Press any key to continue.
+
+
+
+//] [/float128_output]
+
+*/
diff --git a/src/boost/libs/math/example/float_comparison_example.cpp b/src/boost/libs/math/example/float_comparison_example.cpp
new file mode 100644
index 00000000..6c892fa2
--- /dev/null
+++ b/src/boost/libs/math/example/float_comparison_example.cpp
@@ -0,0 +1,444 @@
+//!file
+//! \brief floating-point comparison from Boost.Test
+// Copyright Paul A. Bristow 2015.
+// Copyright John Maddock 2015.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <boost/math/special_functions/next.hpp>
+
+#include <iostream>
+#include <limits> // for std::numeric_limits<T>::epsilon().
+
+int main()
+{
+  std::cout << "Compare floats using Boost.Math functions/classes" << std::endl;
+
+
+//[compare_floats_using
+/*`Some using statements will ensure that the functions we need are accessible.
+*/
+
+  using namespace boost::math;
+
+//`or
+
+  using boost::math::relative_difference;
+  using boost::math::epsilon_difference;
+  using boost::math::float_next;
+  using boost::math::float_prior;
+
+//] [/compare_floats_using]
+
+
+//[compare_floats_example_1
+/*`The following examples display values with all possibly significant digits.
+Newer compilers should provide `std::numeric_limits<FPT>::max_digits10`
+for this purpose, and here we use `float` precision where `max_digits10` = 9
+to avoid displaying a distracting number of decimal digits.
+
+[note Older compilers can use this formula to calculate `max_digits10`
+from `std::numeric_limits<FPT>::digits10`:
+__spaces `int max_digits10 = 2 + std::numeric_limits<FPT>::digits10 * 3010/10000;`
+] [/note]
+
+One can set the display including all trailing zeros
+(helpful for this example to show all potentially significant digits),
+and also to display `bool` values as words rather than integers:
+*/
+  std::cout.precision(std::numeric_limits<float>::max_digits10);
+  std::cout << std::boolalpha << std::showpoint << std::endl;
+
+//] [/compare_floats_example_1]
+
+//[compare_floats_example_2]
+/*`
+When comparing values that are ['quite close] or ['approximately equal],
+we could use either `float_distance` or `relative_difference`/`epsilon_difference`, for example
+with type `float`, these two values are adjacent to each other:
+*/
+
+  float a = 1;
+  float b = 1 + std::numeric_limits<float>::epsilon();
+  std::cout << "a = " << a << std::endl;
+  std::cout << "b = " << b << std::endl;
+  std::cout << "float_distance = " << float_distance(a, b) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(a, b) << std::endl;
+
+/*`
+Which produces the output:
+
+[pre
+a = 1.00000000
+b = 1.00000012
+float_distance = 1.00000000
+relative_difference = 1.19209290e-007
+epsilon_difference = 1.00000000
+]
+*/
+  //] [/compare_floats_example_2]
+
+//[compare_floats_example_3]
+/*`
+In the example above, it just so happens that the edit distance as measured by `float_distance`, and the
+difference measured in units of epsilon were equal.  However, due to the way floating point
+values are represented, that is not always the case:*/
+
+  a = 2.0f / 3.0f;   // 2/3 inexactly represented as a float
+  b = float_next(float_next(float_next(a))); // 3 floating point values above a
+  std::cout << "a = " << a << std::endl;
+  std::cout << "b = " << b << std::endl;
+  std::cout << "float_distance = " << float_distance(a, b) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(a, b) << std::endl;
+
+/*`
+Which produces the output:
+
+[pre
+a = 0.666666687
+b = 0.666666865
+float_distance = 3.00000000
+relative_difference = 2.68220901e-007
+epsilon_difference = 2.25000000
+]
+
+There is another important difference between `float_distance` and the
+`relative_difference/epsilon_difference` functions in that `float_distance`
+returns a signed result that reflects which argument is larger in magnitude,
+where as `relative_difference/epsilon_difference` simply return an unsigned
+value that represents how far apart the values are.  For example if we swap
+the order of the arguments:
+*/
+
+  std::cout << "float_distance = " << float_distance(b, a) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(b, a) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(b, a) << std::endl;
+
+  /*`
+  The output is now:
+
+  [pre
+  float_distance = -3.00000000
+  relative_difference = 2.68220901e-007
+  epsilon_difference = 2.25000000
+  ]
+*/
+  //] [/compare_floats_example_3]
+
+//[compare_floats_example_4]
+/*`
+Zeros are always treated as equal, as are infinities as long as they have the same sign:*/
+
+  a = 0;
+  b = -0;  // signed zero
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  a = b = std::numeric_limits<float>::infinity();
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, -b) << std::endl;
+
+/*`
+Which produces the output:
+
+[pre
+relative_difference = 0.000000000
+relative_difference = 0.000000000
+relative_difference = 3.40282347e+038
+]
+*/
+//] [/compare_floats_example_4]
+
+//[compare_floats_example_5]
+/*`
+Note that finite values are always infinitely far away from infinities even if those finite values are very large:*/
+
+  a = (std::numeric_limits<float>::max)();
+  b = std::numeric_limits<float>::infinity();
+  std::cout << "a = " << a << std::endl;
+  std::cout << "b = " << b << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(a, b) << std::endl;
+
+/*`
+Which produces the output:
+
+[pre
+a = 3.40282347e+038
+b = 1.#INF0000
+relative_difference = 3.40282347e+038
+epsilon_difference = 3.40282347e+038
+]
+*/
+//] [/compare_floats_example_5]
+
+//[compare_floats_example_6]
+/*`
+Finally, all denormalized values and zeros are treated as being effectively equal:*/
+
+  a = std::numeric_limits<float>::denorm_min();
+  b = a * 2;
+  std::cout << "a = " << a << std::endl;
+  std::cout << "b = " << b << std::endl;
+  std::cout << "float_distance = " << float_distance(a, b) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(a, b) << std::endl;
+  a = 0;
+  std::cout << "a = " << a << std::endl;
+  std::cout << "b = " << b << std::endl;
+  std::cout << "float_distance = " << float_distance(a, b) << std::endl;
+  std::cout << "relative_difference = " << relative_difference(a, b) << std::endl;
+  std::cout << "epsilon_difference = " << epsilon_difference(a, b) << std::endl;
+
+/*`
+Which produces the output:
+
+[pre
+a = 1.40129846e-045
+b = 2.80259693e-045
+float_distance = 1.00000000
+relative_difference = 0.000000000
+epsilon_difference = 0.000000000
+a = 0.000000000
+b = 2.80259693e-045
+float_distance = 2.00000000
+relative_difference = 0.000000000
+epsilon_difference = 0.000000000]
+
+Notice how, in the above example, two denormalized values that are a factor of 2 apart are
+none the less only one representation apart!
+
+*/
+//] [/compare_floats_example_6]
+
+
+#if 0
+//[old_compare_floats_example_3
+//`The simplest use is to compare two values with a tolerance thus:
+
+  bool is_close = is_close_to(1.F, 1.F + epsilon, epsilon); // One epsilon apart is close enough.
+  std::cout << "is_close_to(1.F, 1.F + epsilon, epsilon); is " << is_close << std::endl; // true
+
+  is_close = is_close_to(1.F, 1.F + 2 * epsilon, epsilon); // Two epsilon apart isn't close enough.
+  std::cout << "is_close_to(1.F, 1.F + epsilon, epsilon); is " << is_close << std::endl; // false
+
+/*`
+[note The type FPT of the tolerance and the type of the values [*must match].
+
+So `is_close(0.1F, 1., 1.)` will fail to compile because "template parameter 'FPT' is ambiguous".
+Always provide the same type, using `static_cast<FPT>` if necessary.]
+*/
+
+
+/*`An instance of class `close_at_tolerance` is more convenient
+when multiple tests with the same conditions are planned.
+A class that stores a tolerance of three epsilon (and the default ['strong] test) is:
+*/
+
+  close_at_tolerance<float> three_rounds(3 * epsilon); // 'strong' by default.
+
+//`and we can confirm these settings:
+
+  std::cout << "fraction_tolerance = "
+    << three_rounds.fraction_tolerance()
+    << std::endl; // +3.57627869e-007
+  std::cout << "strength = "
+    << (three_rounds.strength() == FPC_STRONG ? "strong" : "weak")
+    << std::endl; // strong
+
+//`To start, let us use two values that are truly equal (having identical bit patterns)
+
+  float a = 1.23456789F;
+  float b = 1.23456789F;
+
+//`and make a comparison using our 3*epsilon `three_rounds` functor:
+
+  bool close = three_rounds(a, b);
+  std::cout << "three_rounds(a, b) = " << close << std::endl; // true
+
+//`Unsurprisingly, the result is true, and the failed fraction is zero.
+
+  std::cout << "failed_fraction = " << three_rounds.failed_fraction() << std::endl;
+
+/*`To get some nearby values, it is convenient to use the Boost.Math __next_float functions,
+for which we need an include
+
+  #include <boost/math/special_functions/next.hpp>
+
+and some using declarations:
+*/
+
+  using boost::math::float_next;
+  using boost::math::float_prior;
+  using boost::math::nextafter;
+  using boost::math::float_distance;
+
+//`To add a few __ulp to one value:
+  b = float_next(a); // Add just one ULP to a.
+  b = float_next(b); // Add another one ULP.
+  b = float_next(b); // Add another one ULP.
+  // 3 epsilon would pass.
+  b = float_next(b); // Add another one ULP.
+
+//`and repeat our comparison:
+
+  close = three_rounds(a, b);
+  std::cout << "three_rounds(a, b) = " << close << std::endl; // false
+  std::cout << "failed_fraction = " << three_rounds.failed_fraction()
+    << std::endl;  // abs(u-v) / abs(v) = 3.86237957e-007
+
+//`We can also 'measure' the number of bits different using the `float_distance` function:
+
+  std::cout << "float_distance = " << float_distance(a, b) << std::endl; // 4
+
+/*`Now consider two values that are much further apart
+than one might expect from ['computational noise],
+perhaps the result of two measurements of some physical property like length
+where an uncertainty of a percent or so might be expected.
+*/
+  float fp1 = 0.01000F;
+  float fp2 = 0.01001F; // Slightly different.
+
+  float tolerance = 0.0001F;
+
+  close_at_tolerance<float> strong(epsilon); // Default is strong.
+  bool rs = strong(fp1, fp2);
+  std::cout << "strong(fp1, fp2) is " << rs << std::endl;
+
+//`Or we could contrast using the ['weak] criterion:
+  close_at_tolerance<float> weak(epsilon, FPC_WEAK); // Explicitly weak.
+  bool rw = weak(fp1, fp2); //
+  std::cout << "weak(fp1, fp2) is " << rw << std::endl;
+
+//`We can also construct, setting tolerance and strength, and compare in one statement:
+
+  std::cout << a << " #= " << b << " is "
+    << close_at_tolerance<float>(epsilon, FPC_STRONG)(a, b) << std::endl;
+  std::cout << a << " ~= " << b << " is "
+    << close_at_tolerance<float>(epsilon, FPC_WEAK)(a, b) << std::endl;
+
+//`but this has little advantage over using function `is_close_to` directly.
+
+//] [/old_compare_floats_example_3]
+
+
+/*When the floating-point values become very small and near zero, using
+//a relative test becomes unhelpful because one is dividing by zero or tiny,
+
+//Instead, an absolute test is needed, comparing one (or usually both) values with zero,
+//using a tolerance.
+//This is provided by the `small_with_tolerance` class and `is_small` function.
+
+  namespace boost {
+  namespace math {
+  namespace fpc {
+
+
+  template<typename FPT>
+  class small_with_tolerance
+  {
+  public:
+  // Public typedefs.
+  typedef bool result_type;
+
+  // Constructor.
+  explicit small_with_tolerance(FPT tolerance); // tolerance >= 0
+
+  // Functor
+  bool operator()(FPT value) const; // return true if <= absolute tolerance (near zero).
+  };
+
+  template<typename FPT>
+  bool
+  is_small(FPT value, FPT tolerance); // return true if value <= absolute tolerance (near zero).
+
+  }}} // namespaces.
+
+/*`
+[note The type FPT of the tolerance and the type of the value [*must match].
+
+So `is_small(0.1F, 0.000001)` will fail to compile because "template parameter 'FPT' is ambiguous".
+Always provide the same type, using `static_cast<FPT>` if necessary.]
+
+A few values near zero are tested with varying tolerance below.
+*/
+//[compare_floats_small_1
+
+  float c = 0;
+  std::cout << "0 is_small " << is_small(c, epsilon) << std::endl; // true
+
+  c = std::numeric_limits<float>::denorm_min(); // 1.40129846e-045
+  std::cout << "denorm_ min =" << c << ", is_small is " << is_small(c, epsilon) << std::endl; // true
+
+  c = (std::numeric_limits<float>::min)(); // 1.17549435e-038
+  std::cout << "min = " << c << ", is_small is " << is_small(c, epsilon) << std::endl; // true
+
+  c = 1 * epsilon; // 1.19209290e-007
+  std::cout << "epsilon = " << c << ", is_small is " << is_small(c, epsilon) << std::endl; // false
+
+  c = 1 * epsilon; // 1.19209290e-007
+  std::cout << "2 epsilon = " << c << ", is_small is " << is_small(c, 2 * epsilon) << std::endl; // true
+
+  c = 2 * epsilon; //2.38418579e-007
+  std::cout << "4 epsilon = " << c << ", is_small is " << is_small(c, 2 * epsilon) << std::endl; // false
+
+  c = 0.00001F;
+  std::cout << "0.00001 = " << c << ", is_small is " << is_small(c, 0.0001F) << std::endl; // true
+
+  c = -0.00001F;
+  std::cout << "0.00001 = " << c << ", is_small is " << is_small(c, 0.0001F) << std::endl; // true
+
+/*`Using the class `small_with_tolerance` allows storage of the tolerance,
+convenient if you make repeated tests with the same tolerance.
+*/
+
+  small_with_tolerance<float>my_test(0.01F);
+
+  std::cout << "my_test(0.001F) is " << my_test(0.001F) << std::endl; // true
+  std::cout << "my_test(0.001F) is " << my_test(0.01F) << std::endl; // false
+
+  //] [/compare_floats_small_1]
+#endif
+  return 0;
+}  // int main()
+
+/*
+
+Example output is:
+
+//[compare_floats_output
+Compare floats using Boost.Test functions/classes
+
+float epsilon = 1.19209290e-007
+is_close_to(1.F, 1.F + epsilon, epsilon); is true
+is_close_to(1.F, 1.F + epsilon, epsilon); is false
+fraction_tolerance = 3.57627869e-007
+strength = strong
+three_rounds(a, b) = true
+failed_fraction = 0.000000000
+three_rounds(a, b) = false
+failed_fraction = 3.86237957e-007
+float_distance = 4.00000000
+strong(fp1, fp2) is false
+weak(fp1, fp2) is false
+1.23456788 #= 1.23456836 is false
+1.23456788 ~= 1.23456836 is false
+0 is_small true
+denorm_ min =1.40129846e-045, is_small is true
+min = 1.17549435e-038, is_small is true
+epsilon = 1.19209290e-007, is_small is false
+2 epsilon = 1.19209290e-007, is_small is true
+4 epsilon = 2.38418579e-007, is_small is false
+0.00001 = 9.99999975e-006, is_small is true
+0.00001 = -9.99999975e-006, is_small is true
+my_test(0.001F) is true
+
+my_test(0.001F) is false//] [/compare_floats_output]
+*/
diff --git a/src/boost/libs/math/example/gauss_example.cpp b/src/boost/libs/math/example/gauss_example.cpp
new file mode 100644
index 00000000..466d58b4
--- /dev/null
+++ b/src/boost/libs/math/example/gauss_example.cpp
@@ -0,0 +1,142 @@
+/*
+ * Copyright John Maddock, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * This example Illustrates numerical integration via Gauss and Gauss-Kronrod quadrature.
+ */
+
+#include <iostream>
+#include <cmath>
+#include <limits>
+#include <boost/math/quadrature/gauss.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void gauss_examples()
+{
+   //[gauss_example
+
+   /*`
+   We'll begin by integrating t[super 2] atan(t) over (0,1) using a 7 term Gauss-Legendre rule,
+   and begin by defining the function to integrate as a C++ lambda expression:
+   */
+   using namespace boost::math::quadrature;
+
+   auto f = [](const double& t) { return t * t * std::atan(t); };
+
+   /*`
+   Integration is simply a matter of calling the `gauss<double, 7>::integrate` method:
+   */
+
+   double Q = gauss<double, 7>::integrate(f, 0, 1);
+
+   /*`
+   Which yields a value 0.2106572512 accurate to 1e-10.
+
+   For more accurate evaluations, we'll move to a multiprecision type and use a 20-point integration scheme:
+   */
+
+   using boost::multiprecision::cpp_bin_float_quad;
+
+   auto f2 = [](const cpp_bin_float_quad& t) { return t * t * atan(t); };
+
+   cpp_bin_float_quad Q2 = gauss<cpp_bin_float_quad, 20>::integrate(f2, 0, 1);
+
+   /*`
+   Which yields 0.2106572512258069881080923020669, which is accurate to 5e-28.
+   */
+
+   //]
+
+   std::cout << std::setprecision(18) << Q << std::endl;
+   std::cout << boost::math::relative_difference(Q, (boost::math::constants::pi<double>() - 2 + 2 * boost::math::constants::ln_two<double>()) / 12) << std::endl;
+
+   std::cout << std::setprecision(34) << Q2 << std::endl;
+   std::cout << boost::math::relative_difference(Q2, (boost::math::constants::pi<cpp_bin_float_quad>() - 2 + 2 * boost::math::constants::ln_two<cpp_bin_float_quad>()) / 12) << std::endl;
+}
+
+void gauss_kronrod_examples()
+{
+   //[gauss_kronrod_example
+
+   /*`
+   We'll begin by integrating exp(-t[super 2]/2) over (0,+[infin]) using a 7 term Gauss rule
+   and 15 term Kronrod rule,
+   and begin by defining the function to integrate as a C++ lambda expression:
+   */
+   using namespace boost::math::quadrature;
+
+   auto f1 = [](double t) { return std::exp(-t*t / 2); };
+
+   //<-
+   double Q_expected = sqrt(boost::math::constants::half_pi<double>());
+   //->
+
+   /*`
+   We'll start off with a one shot (ie non-adaptive)
+   integration, and keep track of the estimated error:
+   */
+   double error;
+   double Q = gauss_kronrod<double, 15>::integrate(f1, 0, std::numeric_limits<double>::infinity(), 0, 0, &error);
+
+   /*`
+   This yields Q = 1.25348207361, which has an absolute error of 1e-4 compared to the estimated error
+   of 5e-3: this is fairly typical, with the difference between Gauss and Gauss-Kronrod schemes being
+   much higher than the actual error.  Before moving on to adaptive quadrature, lets try again
+   with more points, in fact with the largest Gauss-Kronrod scheme we have cached (30/61):
+   */
+   //<-
+   std::cout << std::setprecision(16) << Q << std::endl;
+   std::cout << boost::math::relative_difference(Q, Q_expected) << std::endl;
+   std::cout << fabs(Q - Q_expected) << std::endl;
+   std::cout << error << std::endl;
+   //->
+   Q = gauss_kronrod<double, 61>::integrate(f1, 0, std::numeric_limits<double>::infinity(), 0, 0, &error);
+   //<-
+   std::cout << std::setprecision(16) << Q << std::endl;
+   std::cout << boost::math::relative_difference(Q, Q_expected) << std::endl;
+   std::cout << fabs(Q - Q_expected) << std::endl;
+   std::cout << error << std::endl;
+   //->
+   /*`
+   This yields an absolute error of 3e-15 against an estimate of 1e-8, which is about as good as we're going to get
+   at double precision
+
+   However, instead of continuing with ever more points, lets switch to adaptive integration, and set the desired relative
+   error to 1e-14 against a maximum depth of 5:
+   */
+   Q = gauss_kronrod<double, 15>::integrate(f1, 0, std::numeric_limits<double>::infinity(), 5, 1e-14, &error);
+   //<-
+   std::cout << std::setprecision(16) << Q << std::endl;
+   std::cout << boost::math::relative_difference(Q, Q_expected) << std::endl;
+   std::cout << fabs(Q - Q_expected) << std::endl;
+   std::cout << error << std::endl;
+   //->
+   /*`
+   This yields an actual error of zero, against an estimate of 4e-15.  In fact in this case the requested tolerance was almost
+   certainly set too low: as we've seen above, for smooth functions, the precision achieved is often double
+   that of the estimate, so if we integrate with a tolerance of 1e-9:
+   */
+   Q = gauss_kronrod<double, 15>::integrate(f1, 0, std::numeric_limits<double>::infinity(), 5, 1e-9, &error);
+   //<-
+   std::cout << std::setprecision(16) << Q << std::endl;
+   std::cout << boost::math::relative_difference(Q, Q_expected) << std::endl;
+   std::cout << fabs(Q - Q_expected) << std::endl;
+   std::cout << error << std::endl;
+   //->
+   /*`
+   We still achieve 1e-15 precision, with an error estimate of 1e-10.
+   */
+   //]
+}
+
+int main()
+{
+   gauss_examples();
+   gauss_kronrod_examples();
+   return 0;
+}
diff --git a/src/boost/libs/math/example/geometric_examples.cpp b/src/boost/libs/math/example/geometric_examples.cpp
new file mode 100644
index 00000000..14dbe9eb
--- /dev/null
+++ b/src/boost/libs/math/example/geometric_examples.cpp
@@ -0,0 +1,364 @@
+// geometric_examples.cpp
+
+// Copyright Paul A. Bristow 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// This file is written to be included from a Quickbook .qbk document.
+// It can still be compiled by the C++ compiler, and run.
+// Any output can also be added here as comment or included or pasted in elsewhere.
+// Caution: this file contains Quickbook markup as well as code
+// and comments: don't change any of the special comment markups!
+
+// Examples of using the geometric distribution.
+
+//[geometric_eg1_1
+/*`
+For this example, we will opt to #define two macros to control
+the error and discrete handling policies.
+For this simple example, we want to avoid throwing
+an exception (the default policy) and just return infinity.
+We want to treat the distribution as if it was continuous,
+so we choose a discrete_quantile policy of real,
+rather than the default policy integer_round_outwards.
+*/
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+/*`
+[caution It is vital to #include distributions etc *after* the above #defines]
+After that we need some includes to provide easy access to the negative binomial distribution,
+and we need some std library iostream, of course.
+*/
+#include <boost/math/distributions/geometric.hpp>
+  // for geometric_distribution
+  using ::boost::math::geometric_distribution; //
+  using ::boost::math::geometric; // typedef provides default type is double.
+  using  ::boost::math::pdf; // Probability mass function.
+  using  ::boost::math::cdf; // Cumulative density function.
+  using  ::boost::math::quantile;
+
+#include <boost/math/distributions/negative_binomial.hpp>
+  // for negative_binomial_distribution
+  using boost::math::negative_binomial; // typedef provides default type is double.
+
+#include <boost/math/distributions/normal.hpp>
+  // for negative_binomial_distribution
+  using boost::math::normal; // typedef provides default type is double.
+
+#include <iostream>
+  using std::cout; using std::endl;
+  using std::noshowpoint; using std::fixed; using std::right; using std::left;
+#include <iomanip>
+  using std::setprecision; using std::setw;
+
+#include <limits>
+  using std::numeric_limits;
+//] [geometric_eg1_1]
+
+int main()
+{
+  cout <<"Geometric distribution example" << endl;
+  cout << endl;
+
+  cout.precision(4); // But only show a few for this example.
+  try
+  {
+//[geometric_eg1_2
+/*`
+It is always sensible to use try and catch blocks because defaults policies are to
+throw an exception if anything goes wrong.
+
+Simple try'n'catch blocks (see below) will ensure that you get a
+helpful error message instead of an abrupt (and silent) program abort.
+
+[h6 Throwing a dice]
+The Geometric distribution describes the probability (/p/) of a number of failures
+to get the first success in /k/ Bernoulli trials.
+(A [@http://en.wikipedia.org/wiki/Bernoulli_distribution Bernoulli trial]
+is one with only two possible outcomes, success of failure,
+and /p/ is the probability of success).
+
+Suppose an 'fair' 6-face dice is thrown repeatedly:
+*/
+    double success_fraction = 1./6; // success_fraction (p) = 0.1666
+    // (so failure_fraction is 1 - success_fraction = 5./6 = 1- 0.1666 = 0.8333)
+
+/*`If the dice is thrown repeatedly until the *first* time a /three/ appears.
+The probablility distribution of the number of times it is thrown *not* getting a /three/
+ (/not-a-threes/ number of failures to get a /three/)
+is a geometric distribution with the success_fraction = 1/6 = 0.1666[recur].
+
+We therefore start by constructing a geometric distribution
+with the one parameter success_fraction, the probability of success.
+*/
+    geometric g6(success_fraction); // type double by default.
+/*`
+To confirm, we can echo the success_fraction parameter of the distribution.
+*/
+    cout << "success fraction of a six-sided dice is " << g6.success_fraction() << endl;
+/*`So the probability of getting a three at the first throw (zero failures) is
+*/
+    cout << pdf(g6, 0) << endl; // 0.1667
+    cout << cdf(g6, 0) << endl; // 0.1667
+/*`Note that the cdf and pdf are identical because the is only one throw.
+If we want the probability of getting the first /three/ on the 2nd throw:
+*/
+    cout << pdf(g6, 1) << endl; // 0.1389
+
+/*`If we want the probability of getting the first /three/ on the 1st or 2nd throw
+(allowing one failure):
+*/
+    cout << "pdf(g6, 0) + pdf(g6, 1) = " << pdf(g6, 0) + pdf(g6, 1) << endl;
+/*`Or more conveniently, and more generally,
+we can use the Cumulative Distribution Function CDF.*/
+
+    cout << "cdf(g6, 1) = " << cdf(g6, 1) << endl; // 0.3056
+
+/*`If we allow many more (12) throws, the probability of getting our /three/ gets very high:*/
+    cout << "cdf(g6, 12) = " << cdf(g6, 12) << endl; // 0.9065 or 90% probability.
+/*`If we want to be much more confident, say 99%,
+we can estimate the number of throws to be this sure
+using the inverse or quantile.
+*/
+    cout << "quantile(g6, 0.99) = " << quantile(g6, 0.99) << endl; // 24.26
+/*`Note that the value returned is not an integer:
+if you want an integer result you should use either floor, round or ceil functions,
+or use the policies mechanism.
+
+See __understand_dis_quant.
+
+The geometric distribution is related to the negative binomial
+__spaces `negative_binomial_distribution(RealType r, RealType p);` with parameter /r/ = 1.
+So we could get the same result using the negative binomial,
+but using the geometric the results will be faster, and may be more accurate.
+*/
+    negative_binomial nb(1, success_fraction);
+    cout << pdf(nb, 1) << endl; // 0.1389
+    cout << cdf(nb, 1) << endl; // 0.3056
+/*`We could also the complement to express the required probability
+as 1 - 0.99 = 0.01 (and get the same result):
+*/
+    cout << "quantile(complement(g6, 1 - p))  " << quantile(complement(g6, 0.01)) << endl; // 24.26
+/*`
+Note too that Boost.Math geometric distribution is implemented as a continuous function.
+Unlike other implementations (for example R) it *uses* the number of failures as a *real* parameter,
+not as an integer. If you want this integer behaviour, you may need to enforce this by
+rounding the parameter you pass, probably rounding down, to the nearest integer.
+For example, R returns the success fraction probability for all values of failures
+from 0 to 0.999999 thus:
+[pre
+__spaces R> formatC(pgeom(0.0001,0.5, FALSE), digits=17) "               0.5"
+] [/pre]
+So in Boost.Math the equivalent is
+*/
+    geometric g05(0.5);  // Probability of success = 0.5 or 50%
+    // Output all potentially significant digits for the type, here double.
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  int max_digits10 = 2 + (boost::math::policies::digits<double, boost::math::policies::policy<> >() * 30103UL) / 100000UL;
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined" << endl;
+#else
+  int max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+  cout << "Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = "
+    << max_digits10 << endl;
+  cout.precision(max_digits10); //
+
+    cout << cdf(g05, 0.0001) << endl; // returns 0.5000346561579232, not exact 0.5.
+/*`To get the R discrete behaviour, you simply need to round with,
+for example, the `floor` function.
+*/
+    cout << cdf(g05, floor(0.0001)) << endl; // returns exactly 0.5
+/*`
+[pre
+`> formatC(pgeom(0.9999999,0.5, FALSE), digits=17) [1] "              0.25"`
+`> formatC(pgeom(1.999999,0.5, FALSE), digits=17)[1] "              0.25" k = 1`
+`> formatC(pgeom(1.9999999,0.5, FALSE), digits=17)[1] "0.12500000000000003" k = 2`
+] [/pre]
+shows that R makes an arbitrary round-up decision at about 1e7 from the next integer above.
+This may be convenient in practice, and could be replicated in C++ if desired.
+
+[h6 Surveying customers to find one with a faulty product]
+A company knows from warranty claims that 2% of their products will be faulty,
+so the 'success_fraction' of finding a fault is 0.02.
+It wants to interview a purchaser of faulty products to assess their 'user experience'.
+
+To estimate how many customers they will probably need to contact
+in order to find one who has suffered from the fault,
+we first construct a geometric distribution with probability 0.02,
+and then chose a confidence, say 80%, 95%, or 99% to finding a customer with a fault.
+Finally, we probably want to round up the result to the integer above using the `ceil` function.
+(We could also use a policy, but that is hardly worthwhile for this simple application.)
+
+(This also assumes that each customer only buys one product:
+if customers bought more than one item,
+the probability of finding a customer with a fault obviously improves.)
+*/
+    cout.precision(5);
+    geometric g(0.02); // On average, 2 in 100 products are faulty.
+    double c = 0.95; // 95% confidence.
+    cout << " quantile(g, " << c << ") = " << quantile(g, c) << endl;
+
+    cout << "To be " << c * 100
+      << "% confident of finding we customer with a fault, need to survey "
+      <<  ceil(quantile(g, c)) << " customers." << endl; // 148
+    c = 0.99; // Very confident.
+    cout << "To be " << c * 100
+      << "% confident of finding we customer with a fault, need to survey "
+      <<  ceil(quantile(g, c)) << " customers." << endl; // 227
+    c = 0.80; // Only reasonably confident.
+    cout << "To be " << c * 100
+      << "% confident of finding we customer with a fault, need to survey "
+      <<  ceil(quantile(g, c)) << " customers." << endl; // 79
+
+/*`[h6 Basket Ball Shooters]
+According to Wikipedia, average pro basket ball players get
+[@http://en.wikipedia.org/wiki/Free_throw free throws]
+in the baskets 70 to 80 % of the time,
+but some get as high as 95%, and others as low as 50%.
+Suppose we want to compare the probabilities
+of failing to get a score only on the first or on the fifth shot?
+To start we will consider the average shooter, say 75%.
+So we construct a geometric distribution
+with success_fraction parameter 75/100 = 0.75.
+*/
+    cout.precision(2);
+    geometric gav(0.75); // Shooter averages 7.5 out of 10 in the basket.
+/*`What is probability of getting 1st try in the basket, that is with no failures? */
+    cout << "Probability of score on 1st try = " << pdf(gav, 0) << endl; // 0.75
+/*`This is, of course, the success_fraction probability 75%.
+What is the probability that the shooter only scores on the fifth shot?
+So there are 5-1 = 4 failures before the first success.*/
+    cout << "Probability of score on 5th try = " << pdf(gav, 4) << endl; // 0.0029
+/*`Now compare this with the poor and the best players success fraction.
+We need to constructing new distributions with the different success fractions,
+and then get the corresponding probability density functions values:
+*/
+    geometric gbest(0.95);
+    cout << "Probability of score on 5th try = " << pdf(gbest, 4) << endl; // 5.9e-6
+    geometric gmediocre(0.50);
+    cout << "Probability of score on 5th try = " << pdf(gmediocre, 4) << endl; // 0.031
+/*`So we can see the very much smaller chance (0.000006) of 4 failures by the best shooters,
+compared to the 0.03 of the mediocre.*/
+
+/*`[h6 Estimating failures]
+Of course one man's failure is an other man's success.
+So a fault can be defined as a 'success'.
+
+If a fault occurs once after 100 flights, then one might naively say
+that the risk of fault is obviously 1 in 100 = 1/100, a probability of 0.01.
+
+This is the best estimate we can make, but while it is the truth,
+it is not the whole truth,
+for it hides the big uncertainty when estimating from a single event.
+"One swallow doesn't make a summer."
+To show the magnitude of the uncertainty, the geometric
+(or the negative binomial) distribution can be used.
+
+If we chose the popular 95% confidence in the limits, corresponding to an alpha of 0.05,
+because we are calculating a two-sided interval, we must divide alpha by two.
+*/
+    double alpha = 0.05;
+    double k = 100; // So frequency of occurrence is 1/100.
+    cout << "Probability is failure is " << 1/k << endl;
+    double t = geometric::find_lower_bound_on_p(k, alpha/2);
+    cout << "geometric::find_lower_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+      << t << endl; // 0.00025
+    t = geometric::find_upper_bound_on_p(k, alpha/2);
+    cout << "geometric::find_upper_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+      << t << endl; // 0.037
+/*`So while we estimate the probability is 0.01, it might lie between 0.0003 and 0.04.
+Even if we relax our confidence to alpha = 90%, the bounds only contract to 0.0005 and 0.03.
+And if we require a high confidence, they widen to 0.00005 to 0.05.
+*/
+    alpha = 0.1; // 90% confidence.
+    t = geometric::find_lower_bound_on_p(k, alpha/2);
+    cout << "geometric::find_lower_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+      << t << endl; // 0.0005
+    t = geometric::find_upper_bound_on_p(k, alpha/2);
+    cout << "geometric::find_upper_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+      << t << endl; // 0.03
+
+    alpha = 0.01; // 99% confidence.
+    t = geometric::find_lower_bound_on_p(k, alpha/2);
+    cout << "geometric::find_lower_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+      << t << endl; // 5e-005
+    t = geometric::find_upper_bound_on_p(k, alpha/2);
+    cout << "geometric::find_upper_bound_on_p(" << int(k) << ", " << alpha/2 << ") = "
+        << t << endl; // 0.052
+/*`In real life, there will usually be more than one event (fault or success),
+when the negative binomial, which has the neccessary extra parameter, will be needed.
+*/
+
+/*`As noted above, using a catch block is always a good idea,
+even if you hope not to use it!
+*/
+  }
+  catch(const std::exception& e)
+  { // Since we have set an overflow policy of ignore_error,
+    // an overflow exception should never be thrown.
+     std::cout << "\nMessage from thrown exception was:\n " << e.what() << std::endl;
+/*`
+For example, without a ignore domain error policy,
+if we asked for ``pdf(g, -1)`` for example,
+we would get an unhelpful abort, but with a catch:
+[pre
+Message from thrown exception was:
+ Error in function boost::math::pdf(const exponential_distribution<double>&, double):
+ Number of failures argument is -1, but must be >= 0 !
+] [/pre]
+*/
+//] [/ geometric_eg1_2]
+  }
+  return 0;
+}  // int main()
+
+
+/*
+Output is:
+
+  Geometric distribution example
+
+  success fraction of a six-sided dice is 0.1667
+  0.1667
+  0.1667
+  0.1389
+  pdf(g6, 0) + pdf(g6, 1) = 0.3056
+  cdf(g6, 1) = 0.3056
+  cdf(g6, 12) = 0.9065
+  quantile(g6, 0.99) = 24.26
+  0.1389
+  0.3056
+  quantile(complement(g6, 1 - p))  24.26
+  0.5000346561579232
+  0.5
+   quantile(g, 0.95) = 147.28
+  To be 95% confident of finding we customer with a fault, need to survey 148 customers.
+  To be 99% confident of finding we customer with a fault, need to survey 227 customers.
+  To be 80% confident of finding we customer with a fault, need to survey 79 customers.
+  Probability of score on 1st try = 0.75
+  Probability of score on 5th try = 0.0029
+  Probability of score on 5th try = 5.9e-006
+  Probability of score on 5th try = 0.031
+  Probability is failure is 0.01
+  geometric::find_lower_bound_on_p(100, 0.025) = 0.00025
+  geometric::find_upper_bound_on_p(100, 0.025) = 0.037
+  geometric::find_lower_bound_on_p(100, 0.05) = 0.00051
+  geometric::find_upper_bound_on_p(100, 0.05) = 0.03
+  geometric::find_lower_bound_on_p(100, 0.005) = 5e-005
+  geometric::find_upper_bound_on_p(100, 0.005) = 0.052
+
+*/
+
+
+
+
+
+
+
+
+
+
diff --git a/src/boost/libs/math/example/handle_test_result.hpp b/src/boost/libs/math/example/handle_test_result.hpp
new file mode 100644
index 00000000..cb1432a5
--- /dev/null
+++ b/src/boost/libs/math/example/handle_test_result.hpp
@@ -0,0 +1,220 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_HANDLE_TEST_RESULT
+#define BOOST_MATH_HANDLE_TEST_RESULT
+
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/regex.hpp>
+#include <boost/test/test_tools.hpp>
+#include <iostream>
+#include <iomanip>
+
+#if defined(BOOST_INTEL)
+#  pragma warning(disable:239)
+#  pragma warning(disable:264)
+#endif
+
+//
+// Every client of this header has to define this function,
+// and initialise the table of expected results:
+//
+void expected_results();
+
+typedef std::pair<boost::regex, std::pair<boost::uintmax_t, boost::uintmax_t> > expected_data_type;
+typedef std::list<expected_data_type> list_type;
+
+inline list_type& 
+   get_expected_data()
+{
+   static list_type data;
+   return data;
+}
+
+inline void add_expected_result(
+   const char* compiler,
+   const char* library,
+   const char* platform,
+   const char* type_name,
+   const char* test_name,
+   const char* group_name, 
+   boost::uintmax_t max_peek_error, 
+   boost::uintmax_t max_mean_error)
+{
+   std::string re("(?:");
+   re += compiler;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += library;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += platform;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += type_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += test_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += group_name;
+   re += ")";
+   get_expected_data().push_back(
+      std::make_pair(boost::regex(re, boost::regex::perl | boost::regex::icase), 
+         std::make_pair(max_peek_error, max_mean_error)));
+}
+
+inline std::string build_test_name(const char* type_name, const char* test_name, const char* group_name)
+{
+   std::string result(BOOST_COMPILER);
+   result += "|";
+   result += BOOST_STDLIB;
+   result += "|";
+   result += BOOST_PLATFORM;
+   result += "|";
+   result += type_name;
+   result += "|";
+   result += group_name;
+   result += "|";
+   result += test_name;
+   return result;
+}
+
+inline const std::pair<boost::uintmax_t, boost::uintmax_t>&
+   get_max_errors(const char* type_name, const char* test_name, const char* group_name)
+{
+   static const std::pair<boost::uintmax_t, boost::uintmax_t> defaults(1, 1);
+   std::string name = build_test_name(type_name, test_name, group_name);
+   list_type& l = get_expected_data();
+   list_type::const_iterator a(l.begin()), b(l.end());
+   while(a != b)
+   {
+      if(regex_match(name, a->first))
+      {
+#if 0
+         std::cout << name << std::endl;
+         std::cout << a->first.str() << std::endl;
+#endif
+         return a->second;
+      }
+      ++a;
+   }
+   return defaults;
+}
+
+template <class T, class Seq>
+void handle_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, 
+                       const char* type_name, 
+                       const char* test_name, 
+                       const char* group_name)
+{
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test_name << "<" << type_name << "> Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      if(std::numeric_limits<T>::digits10)
+      {
+         std::cout << std::setprecision(std::numeric_limits<T>::digits10 + 2);
+      }
+      else
+      {
+         std::cout << std::setprecision(std::numeric_limits<long double>::digits10 + 2);
+      }
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+#if defined(__SGI_STL_PORT)
+         std::cout << boost::math::tools::real_cast<double>(worst[i]);
+#else
+         std::cout << worst[i];
+#endif
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+   //
+   // Now verify that the results are within our expected bounds:
+   //
+   std::pair<boost::uintmax_t, boost::uintmax_t> const& bounds = get_max_errors(type_name, test_name, group_name);
+   if(bounds.first < max_error_found)
+   {
+      std::cerr << "Peak error greater than expected value of " << bounds.first << std::endl;
+      BOOST_CHECK(bounds.first >= max_error_found);
+   }
+   if(bounds.second < mean_error_found)
+   {
+      std::cerr << "Mean error greater than expected value of " << bounds.second << std::endl;
+      BOOST_CHECK(bounds.second >= mean_error_found);
+   }
+   std::cout << std::endl;
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
+template <class T, class Seq>
+void print_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, const char* name, const char* test)
+{
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test << "(" << name << ") Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+         std::cout << worst[i];
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+}
+
+#endif // BOOST_MATH_HANDLE_TEST_RESULT
+
diff --git a/src/boost/libs/math/example/hyperexponential_more_snips.cpp b/src/boost/libs/math/example/hyperexponential_more_snips.cpp
new file mode 100644
index 00000000..ba9d5010
--- /dev/null
+++ b/src/boost/libs/math/example/hyperexponential_more_snips.cpp
@@ -0,0 +1,155 @@
+// Copyright 2014 Marco Guazzone (marco.guazzone@gmail.com).
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Caution: this file contains Quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+
+//[hyperexponential_more_snip1
+#include <boost/math/distributions.hpp>
+#include <iostream>
+#include <string>
+
+struct ds_info
+{
+   std::string name;
+   double iat_sample_mean;
+   double iat_sample_sd;
+   boost::math::hyperexponential iat_he;
+   double multi_lt_sample_mean;
+   double multi_lt_sample_sd;
+   boost::math::hyperexponential multi_lt_he;
+   double single_lt_sample_mean;
+   double single_lt_sample_sd;
+   boost::math::hyperexponential single_lt_he;
+};
+
+// DS1 dataset
+ds_info make_ds1()
+{
+   ds_info ds;
+
+   ds.name = "DS1";
+
+   // VM interarrival time distribution
+   const double iat_fit_probs[] = { 0.34561,0.08648,0.56791 };
+   const double iat_fit_rates[] = { 0.0008,0.00005,0.02894 };
+   ds.iat_sample_mean = 2202.1;
+   ds.iat_sample_sd = 2.2e+4;
+   ds.iat_he = boost::math::hyperexponential(iat_fit_probs, iat_fit_rates);
+
+   // Multi-core VM lifetime distribution
+   const double multi_lt_fit_probs[] = { 0.24667,0.37948,0.37385 };
+   const double multi_lt_fit_rates[] = { 0.00004,0.000002,0.00059 };
+   ds.multi_lt_sample_mean = 257173;
+   ds.multi_lt_sample_sd = 4.6e+5;
+   ds.multi_lt_he = boost::math::hyperexponential(multi_lt_fit_probs, multi_lt_fit_rates);
+
+   // Single-core VM lifetime distribution
+   const double single_lt_fit_probs[] = { 0.09325,0.22251,0.68424 };
+   const double single_lt_fit_rates[] = { 0.000003,0.00109,0.00109 };
+   ds.single_lt_sample_mean = 28754.4;
+   ds.single_lt_sample_sd = 1.6e+5;
+   ds.single_lt_he = boost::math::hyperexponential(single_lt_fit_probs, single_lt_fit_rates);
+
+   return ds;
+}
+
+// DS2 dataset
+ds_info make_ds2()
+{
+   ds_info ds;
+
+   ds.name = "DS2";
+
+   // VM interarrival time distribution
+   const double iat_fit_probs[] = { 0.38881,0.18227,0.42892 };
+   const double iat_fit_rates[] = { 0.000006,0.05228,0.00081 };
+   ds.iat_sample_mean = 41285.7;
+   ds.iat_sample_sd = 1.1e+05;
+   ds.iat_he = boost::math::hyperexponential(iat_fit_probs, iat_fit_rates);
+
+   // Multi-core VM lifetime distribution
+   const double multi_lt_fit_probs[] = { 0.42093,0.43960,0.13947 };
+   const double multi_lt_fit_rates[] = { 0.00186,0.00008,0.0000008 };
+   ds.multi_lt_sample_mean = 144669.0;
+   ds.multi_lt_sample_sd = 7.9e+05;
+   ds.multi_lt_he = boost::math::hyperexponential(multi_lt_fit_probs, multi_lt_fit_rates);
+
+   // Single-core VM lifetime distribution
+   const double single_lt_fit_probs[] = { 0.44885,0.30675,0.2444 };
+   const double single_lt_fit_rates[] = { 0.00143,0.00005,0.0000004 };
+   ds.single_lt_sample_mean = 599815.0;
+   ds.single_lt_sample_sd = 1.7e+06;
+   ds.single_lt_he = boost::math::hyperexponential(single_lt_fit_probs, single_lt_fit_rates);
+
+   return ds;
+}
+
+// DS3 dataset
+ds_info make_ds3()
+{
+   ds_info ds;
+
+   ds.name = "DS3";
+
+   // VM interarrival time distribution
+   const double iat_fit_probs[] = { 0.39442,0.24644,0.35914 };
+   const double iat_fit_rates[] = { 0.00030,0.00003,0.00257 };
+   ds.iat_sample_mean = 11238.8;
+   ds.iat_sample_sd = 3.0e+04;
+   ds.iat_he = boost::math::hyperexponential(iat_fit_probs, iat_fit_rates);
+
+   // Multi-core VM lifetime distribution
+   const double multi_lt_fit_probs[] = { 0.37621,0.14838,0.47541 };
+   const double multi_lt_fit_rates[] = { 0.00498,0.000005,0.00022 };
+   ds.multi_lt_sample_mean = 30739.2;
+   ds.multi_lt_sample_sd = 1.6e+05;
+   ds.multi_lt_he = boost::math::hyperexponential(multi_lt_fit_probs, multi_lt_fit_rates);
+
+   // Single-core VM lifetime distribution
+   const double single_lt_fit_probs[] = { 0.34131,0.12544,0.53325 };
+   const double single_lt_fit_rates[] = { 0.000297,0.000003,0.00410 };
+   ds.single_lt_sample_mean = 44447.8;
+   ds.single_lt_sample_sd = 2.2e+05;
+   ds.single_lt_he = boost::math::hyperexponential(single_lt_fit_probs, single_lt_fit_rates);
+
+   return ds;
+}
+
+void print_fitted(ds_info const& ds)
+{
+   const double secs_in_a_hour = 3600;
+   const double secs_in_a_month = 30 * 24 * secs_in_a_hour;
+
+   std::cout << "### " << ds.name << std::endl;
+   std::cout << "* Fitted Request Interarrival Time" << std::endl;
+   std::cout << " - Mean (SD): " << boost::math::mean(ds.iat_he) << " (" << boost::math::standard_deviation(ds.iat_he) << ") seconds." << std::endl;
+   std::cout << " - 99th Percentile: " << boost::math::quantile(ds.iat_he, 0.99) << " seconds." << std::endl;
+   std::cout << " - Probability that a VM will arrive within 30 minutes: " << boost::math::cdf(ds.iat_he, secs_in_a_hour / 2.0) << std::endl;
+   std::cout << " - Probability that a VM will arrive after 1 hour: " << boost::math::cdf(boost::math::complement(ds.iat_he, secs_in_a_hour)) << std::endl;
+   std::cout << "* Fitted Multi-core VM Lifetime" << std::endl;
+   std::cout << " - Mean (SD): " << boost::math::mean(ds.multi_lt_he) << " (" << boost::math::standard_deviation(ds.multi_lt_he) << ") seconds." << std::endl;
+   std::cout << " - 99th Percentile: " << boost::math::quantile(ds.multi_lt_he, 0.99) << " seconds." << std::endl;
+   std::cout << " - Probability that a VM will last for less than 1 month: " << boost::math::cdf(ds.multi_lt_he, secs_in_a_month) << std::endl;
+   std::cout << " - Probability that a VM will last for more than 3 months: " << boost::math::cdf(boost::math::complement(ds.multi_lt_he, 3.0*secs_in_a_month)) << std::endl;
+   std::cout << "* Fitted Single-core VM Lifetime" << std::endl;
+   std::cout << " - Mean (SD): " << boost::math::mean(ds.single_lt_he) << " (" << boost::math::standard_deviation(ds.single_lt_he) << ") seconds." << std::endl;
+   std::cout << " - 99th Percentile: " << boost::math::quantile(ds.single_lt_he, 0.99) << " seconds." << std::endl;
+   std::cout << " - Probability that a VM will last for less than 1 month: " << boost::math::cdf(ds.single_lt_he, secs_in_a_month) << std::endl;
+   std::cout << " - Probability that a VM will last for more than 3 months: " << boost::math::cdf(boost::math::complement(ds.single_lt_he, 3.0*secs_in_a_month)) << std::endl;
+}
+
+int main()
+{
+   print_fitted(make_ds1());
+
+   print_fitted(make_ds2());
+
+   print_fitted(make_ds3());
+}
+//]
diff --git a/src/boost/libs/math/example/hyperexponential_snips.cpp b/src/boost/libs/math/example/hyperexponential_snips.cpp
new file mode 100644
index 00000000..785e500d
--- /dev/null
+++ b/src/boost/libs/math/example/hyperexponential_snips.cpp
@@ -0,0 +1,103 @@
+// Copyright John Maddock 2014.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Caution: this file contains Quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4996) // disable -D_SCL_SECURE_NO_WARNINGS C++ 'Checked Iterators'
+#endif
+
+#include <boost/math/distributions/hyperexponential.hpp>
+#include <iostream>
+
+#ifndef BOOST_NO_CXX11_HDR_ARRAY
+#include <array>
+#endif
+
+int main()
+{
+   {
+//[hyperexponential_snip1
+//=#include <boost/math/distributions/hyperexponential.hpp>
+//=#include <iostream>
+//=int main()
+//={
+   const double rates[] = { 1.0 / 10.0, 1.0 / 12.0 };
+
+   boost::math::hyperexponential he(rates);
+
+   std::cout << "Average lifetime: "
+      << boost::math::mean(he)
+      << " years" << std::endl;
+   std::cout << "Probability that the appliance will work for more than 15 years: "
+      << boost::math::cdf(boost::math::complement(he, 15.0))
+      << std::endl;
+//=}
+//]
+   }
+   using namespace boost::math;
+#ifndef BOOST_NO_CXX11_HDR_ARRAY
+   {
+   //[hyperexponential_snip2
+   std::array<double, 2> phase_prob = { 0.5, 0.5 };
+   std::array<double, 2> rates = { 1.0 / 10, 1.0 / 12 };
+
+   hyperexponential he(phase_prob.begin(), phase_prob.end(), rates.begin(), rates.end());
+   //]
+   }
+
+   {
+   //[hyperexponential_snip3
+   // We could be using any standard library container here... vector, deque, array, list etc:
+   std::array<double, 2> phase_prob = { 0.5, 0.5 };
+   std::array<double, 2> rates      = { 1.0 / 10, 1.0 / 12 };
+
+   hyperexponential he1(phase_prob, rates);    // Construct from standard library container.
+
+   double phase_probs2[] = { 0.5, 0.5 };
+   double rates2[]       = { 1.0 / 10, 1.0 / 12 };
+
+   hyperexponential he2(phase_probs2, rates2);  // Construct from native C++ array.
+   //]
+   }
+   {
+   //[hyperexponential_snip4
+   // We could be using any standard library container here... vector, deque, array, list etc:
+   std::array<double, 2> rates = { 1.0 / 10, 1.0 / 12 };
+
+   hyperexponential he(rates.begin(), rates.end());
+
+   BOOST_ASSERT(he.probabilities()[0] == 0.5); // Phase probabilities will be equal and normalised to unity.
+   //]
+   }
+   {
+   //[hyperexponential_snip5
+   std::array<double, 2> rates = { 1.0 / 10, 1.0 / 12 };
+
+   hyperexponential he(rates);
+
+   BOOST_ASSERT(he.probabilities()[0] == 0.5); // Phase probabilities will be equal and normalised to unity.
+   //]
+   }
+#endif
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
+   {
+   //[hyperexponential_snip6
+   hyperexponential he = { { 0.5, 0.5 }, { 1.0 / 10, 1.0 / 12 } };
+   //]
+   }
+   {
+   //[hyperexponential_snip7
+   hyperexponential he = { 1.0 / 10, 1.0 / 12 };
+
+   BOOST_ASSERT(he.probabilities()[0] == 0.5);
+   //]
+   }
+#endif
+   return 0;
+}
diff --git a/src/boost/libs/math/example/inspect_fp.cpp b/src/boost/libs/math/example/inspect_fp.cpp
new file mode 100644
index 00000000..0838b8dd
--- /dev/null
+++ b/src/boost/libs/math/example/inspect_fp.cpp
@@ -0,0 +1,224 @@
+// inspect.cpp
+
+// Copyright (c) 2006 Johan Rade
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//-------------------------------------
+
+#include <cstring>
+
+#include <iomanip>
+#include <iostream>
+#include <limits>
+#include <boost/detail/endian.hpp>
+
+//------------------------------------------------------------------------------
+
+bool is_big_endian()
+{
+    float x = 1.0f;
+    unsigned char first_byte;
+  memcpy(&first_byte, &x, 1);
+    return first_byte != 0;
+}
+
+//------------------------------------------------------------------------------
+
+void print_processor();
+void print_endianness();
+template<class T> void print_table();
+template<class T> void print_row(const char* name, T val, bool ok = true);
+
+//------------------------------------------------------------------------------
+
+int main()
+{
+    std::cout << '\n';
+
+  print_processor();
+
+  print_endianness();
+
+    std::cout << "---------- float --------------------\n\n";
+    print_table<float>();
+
+    std::cout << "---------- double -------------------\n\n";
+    print_table<double>();
+
+    std::cout << "---------- long double --------------\n\n";
+    print_table<long double>();
+
+    return 0;
+}
+
+//------------------------------------------------------------------------------
+
+void print_processor()
+{
+#if defined(__i386) || defined(__i386__) || defined(_M_IX86) \
+    || defined(__amd64) || defined(__amd64__)  || defined(_M_AMD64) \
+    || defined(__x86_64) || defined(__x86_64__) || defined(_M_X64)
+
+  std::cout << "Processor: x86 or x64\n\n";
+
+#elif defined(__ia64) || defined(__ia64__) || defined(_M_IA64)
+
+  std::cout << "Processor: ia64\n\n";
+
+#elif defined(__powerpc) || defined(__powerpc__) || defined(__POWERPC__) \
+    || defined(__ppc) || defined(__ppc__) || defined(__PPC__)
+
+  std::cout << "Processor: PowerPC\n\n";
+
+#elif defined(__m68k) || defined(__m68k__) \
+    || defined(__mc68000) || defined(__mc68000__) \
+
+  std::cout << "Processor: Motorola 68K\n\n";
+
+#else
+
+  std::cout << "Processor: Unknown\n\n";
+
+#endif
+}
+
+void print_endianness()
+{
+    if(is_big_endian())
+        std::cout << "This platform is big-endian.\n";
+    else
+        std::cout << "This platform is little-endian.\n";
+
+#ifdef BOOST_BIG_ENDIAN
+    std::cout << "BOOST_BIG_ENDIAN is defined.\n\n";
+#endif
+#if defined BOOST_LITTLE_ENDIAN
+    std::cout << "BOOST_LITTTLE_ENDIAN is defined.\n\n";
+#endif
+}
+
+//..............................................................................
+
+template<class T> void print_table()
+{
+    print_row("0", (T)0);
+    print_row("sn.min", std::numeric_limits<T>::denorm_min(),
+          std::numeric_limits<T>::has_denorm);
+    print_row("-sn.min", -std::numeric_limits<T>::denorm_min(),
+          std::numeric_limits<T>::has_denorm);
+    print_row("n.min/256", (std::numeric_limits<T>::min)()/256);
+    print_row("n.min/2", (std::numeric_limits<T>::min)()/2);
+    print_row("-n.min/2", -(std::numeric_limits<T>::min)()/2);
+    print_row("n.min", (std::numeric_limits<T>::min)());
+    print_row("1", (T)1);
+    print_row("3/4", (T)3/(T)4);
+    print_row("4/3", (T)4/(T)3);
+    print_row("max", (std::numeric_limits<T>::max)());
+    print_row("inf", std::numeric_limits<T>::infinity(),
+          std::numeric_limits<T>::has_infinity);
+    print_row("q.nan", std::numeric_limits<T>::quiet_NaN(),
+          std::numeric_limits<T>::has_quiet_NaN);
+    print_row("s.nan", std::numeric_limits<T>::signaling_NaN(),
+          std::numeric_limits<T>::has_signaling_NaN);
+
+    std::cout << "\n\n";
+}
+
+template<class T>
+void print_row(const char* name, T val, bool ok)
+{
+    std::cout << std::left << std::setw(10) << name << std::right;
+
+    std::cout << std::hex << std::setfill('0');
+
+    if(ok) {
+        if(is_big_endian()) {
+      for(size_t i = 0; i < sizeof(T); ++i) {
+        unsigned char c = *(reinterpret_cast<unsigned char*>(&val) + i);
+                std::cout << std::setw(2)
+                    << static_cast<unsigned int>(c) << ' ';
+      }
+        }
+        else {
+      for(size_t i = sizeof(T) - 1; i < sizeof(T); --i) {
+        unsigned char c = *(reinterpret_cast<unsigned char*>(&val) + i);
+                std::cout << std::setw(2)
+                    << static_cast<unsigned int>(c) << ' ';
+      }
+        }
+    }
+    else {
+        for(size_t i = 0; i < sizeof(T); ++i)
+            std::cout << "-- ";
+    }
+
+    std::cout << '\n';
+    std::cout << std::dec << std::setfill(' ');
+}
+
+/*
+
+Sample output on an AMD Quadcore running MSVC 10
+
+  Processor: x86 or x64
+
+  This platform is little-endian.
+  BOOST_LITTTLE_ENDIAN is defined.
+
+  ---------- float --------------------
+
+  0         00 00 00 00
+  sn.min    00 00 00 01
+  -sn.min   80 00 00 01
+  n.min/256 00 00 80 00
+  n.min/2   00 40 00 00
+  -n.min/2  80 40 00 00
+  n.min     00 80 00 00
+  1         3f 80 00 00
+  3/4       3f 40 00 00
+  4/3       3f aa aa ab
+  max       7f 7f ff ff
+  inf       7f 80 00 00
+  q.nan     7f c0 00 00
+  s.nan     7f c0 00 01
+
+
+  ---------- double -------------------
+
+  0         00 00 00 00 00 00 00 00
+  sn.min    00 00 00 00 00 00 00 01
+  -sn.min   80 00 00 00 00 00 00 01
+  n.min/256 00 00 10 00 00 00 00 00
+  n.min/2   00 08 00 00 00 00 00 00
+  -n.min/2  80 08 00 00 00 00 00 00
+  n.min     00 10 00 00 00 00 00 00
+  1         3f f0 00 00 00 00 00 00
+  3/4       3f e8 00 00 00 00 00 00
+  4/3       3f f5 55 55 55 55 55 55
+  max       7f ef ff ff ff ff ff ff
+  inf       7f f0 00 00 00 00 00 00
+  q.nan     7f f8 00 00 00 00 00 00
+  s.nan     7f f8 00 00 00 00 00 01
+
+
+  ---------- long double --------------
+
+  0         00 00 00 00 00 00 00 00
+  sn.min    00 00 00 00 00 00 00 01
+  -sn.min   80 00 00 00 00 00 00 01
+  n.min/256 00 00 10 00 00 00 00 00
+  n.min/2   00 08 00 00 00 00 00 00
+  -n.min/2  80 08 00 00 00 00 00 00
+  n.min     00 10 00 00 00 00 00 00
+  1         3f f0 00 00 00 00 00 00
+  3/4       3f e8 00 00 00 00 00 00
+  4/3       3f f5 55 55 55 55 55 55
+  max       7f ef ff ff ff ff ff ff
+  inf       7f f0 00 00 00 00 00 00
+  q.nan     7f f8 00 00 00 00 00 00
+  s.nan     7f f8 00 00 00 00 00 01
+
+  */
diff --git a/src/boost/libs/math/example/inverse_chi_squared_bayes_eg.cpp b/src/boost/libs/math/example/inverse_chi_squared_bayes_eg.cpp
new file mode 100644
index 00000000..6323d0ee
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_chi_squared_bayes_eg.cpp
@@ -0,0 +1,338 @@
+// inverse_chi_squared_bayes_eg.cpp
+
+// Copyright Thomas Mang 2011.
+// Copyright Paul A. Bristow 2011.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// This file is written to be included from a Quickbook .qbk document.
+// It can still be compiled by the C++ compiler, and run.
+// Any output can also be added here as comment or included or pasted in elsewhere.
+// Caution: this file contains Quickbook markup as well as code
+// and comments: don't change any of the special comment markups!
+
+#include <iostream>
+//  using std::cout; using std::endl;
+ 
+//#define  define possible error-handling macros here?
+
+#include "boost/math/distributions.hpp"
+// using ::boost::math::inverse_chi_squared;
+
+int main()
+{
+  using std::cout; using std::endl;
+
+  using ::boost::math::inverse_chi_squared;
+  using ::boost::math::inverse_gamma;
+  using ::boost::math::quantile;
+  using ::boost::math::cdf;
+  
+  cout << "Inverse_chi_squared_distribution Bayes example: " << endl <<endl;
+
+  cout.precision(3);
+// Examples of using the inverse_chi_squared distribution.
+
+//[inverse_chi_squared_bayes_eg_1
+/*`
+The scaled-inversed-chi-squared distribution is the conjugate prior distribution
+for the variance ([sigma][super 2]) parameter of a normal distribution
+with known expectation ([mu]).
+As such it has widespread application in Bayesian statistics:
+
+In [@http://en.wikipedia.org/wiki/Bayesian_inference Bayesian inference],
+the strength of belief into certain parameter values is
+itself described through a distribution. Parameters
+hence become themselves modelled and interpreted as random variables.
+
+In this worked example, we perform such a Bayesian analysis by using
+the scaled-inverse-chi-squared distribution as prior and posterior distribution
+for the variance parameter of a normal distribution.
+
+For more general information on Bayesian type of analyses,
+see:
+
+* Andrew Gelman, John B. Carlin, Hal E. Stern, Donald B. Rubin, Bayesian Data Analysis,
+2003, ISBN 978-1439840955.
+
+* Jim Albert, Bayesian Compution with R, Springer, 2009, ISBN 978-0387922973.
+
+(As the scaled-inversed-chi-squared is another parameterization of the inverse-gamma distribution,
+this example could also have used the inverse-gamma distribution).
+
+Consider precision machines which produce balls for a high-quality ball bearing.
+Ideally each ball should have a diameter of precisely 3000 [mu]m (3 mm).
+Assume that machines generally produce balls of that size on average (mean),
+but individual balls can vary slightly in either direction
+following (approximately) a normal distribution. Depending on various production conditions
+(e.g. raw material used for balls, workplace temperature and humidity, maintenance frequency and quality)
+some machines produce balls tighter distributed around the target of 3000 [mu]m,
+while others produce balls with a wider distribution. 
+Therefore the variance parameter of the normal distribution of the ball sizes varies
+from machine to machine. An extensive survey by the precision machinery manufacturer, however,
+has shown that most machines operate with a variance between 15 and 50,
+and near 25 [mu]m[super 2] on average.
+
+Using this information, we want to model the variance of the machines.
+The variance is strictly positive, and therefore we look for a statistical distribution
+with support in the positive domain of the real numbers.
+Given the expectation of the normal distribution of the balls is known (3000 [mu]m),
+for reasons of conjugacy, it is customary practice in Bayesian statistics
+to model the variance to be scaled-inverse-chi-squared distributed. 
+
+In a first step, we will try to use the survey information to model
+the general knowledge about the variance parameter of machines measured by the manufacturer. 
+This will provide us with a generic prior distribution that is applicable
+if nothing more specific is known about a particular machine.
+
+In a second step, we will then combine the prior-distribution information in a Bayesian analysis
+with data on a specific single machine to derive a posterior distribution for that machine.
+
+[h5 Step one: Using the survey information.]
+
+Using the survey results, we try to find the parameter set
+of a scaled-inverse-chi-squared distribution 
+so that the properties of this distribution match the results. 
+Using the mathematical properties of the scaled-inverse-chi-squared distribution 
+as guideline, we see that that both the mean and mode of the scaled-inverse-chi-squared distribution
+are approximately given by the scale parameter (s) of the distribution. As the survey machines operated at a
+variance of 25 [mu]m[super 2] on average, we hence set the scale parameter (s[sub prior]) of our prior distribution 
+equal to this value. Using some trial-and-error and calls to the global quantile function, we also find that a
+value of 20 for the degrees-of-freedom ([nu][sub prior]) parameter is adequate so that
+most of the prior distribution mass is located between 15 and 50 (see figure below).
+
+We first construct our prior distribution using these values, and then list out a few quantiles:
+
+*/
+  double priorDF = 20.0;
+  double priorScale = 25.0; 
+
+  inverse_chi_squared prior(priorDF, priorScale);
+  // Using an inverse_gamma distribution instead, we could equivalently write
+  // inverse_gamma prior(priorDF / 2.0, priorScale * priorDF / 2.0);
+  
+  cout << "Prior distribution:" << endl << endl;
+  cout << "  2.5% quantile: " << quantile(prior, 0.025) << endl;
+  cout << "  50% quantile: " << quantile(prior, 0.5) << endl;
+  cout << "  97.5% quantile: " << quantile(prior, 0.975) << endl << endl;
+
+ //] [/inverse_chi_squared_bayes_eg_1]
+
+//[inverse_chi_squared_bayes_eg_output_1
+/*`This produces this output:
+
+    Prior distribution:
+  
+    2.5% quantile: 14.6
+    50% quantile: 25.9
+    97.5% quantile: 52.1
+
+*/
+//] [/inverse_chi_squared_bayes_eg_output_1]
+
+//[inverse_chi_squared_bayes_eg_2
+/*`
+Based on this distribution, we can now calculate the probability of having a machine
+working with an unusual work precision (variance) at <= 15 or > 50.
+For this task, we use calls to the `boost::math::` functions `cdf` and `complement`,
+respectively, and find a probability of about 0.031 (3.1%) for each case.
+*/
+  
+  cout << "  probability variance <= 15: " << boost::math::cdf(prior, 15.0) << endl;
+  cout << "  probability variance <= 25: " << boost::math::cdf(prior, 25.0) << endl;
+  cout << "  probability variance > 50: " 
+    << boost::math::cdf(boost::math::complement(prior, 50.0))
+  << endl << endl;
+ //] [/inverse_chi_squared_bayes_eg_2]
+
+//[inverse_chi_squared_bayes_eg_output_2
+/*`This produces this output:
+
+    probability variance <= 15: 0.031
+    probability variance <= 25: 0.458
+    probability variance > 50: 0.0318
+
+*/
+//] [/inverse_chi_squared_bayes_eg_output_2]
+  
+//[inverse_chi_squared_bayes_eg_3
+/*`Therefore, only 3.1% of all precision machines produce balls with a variance of 15 or less
+(particularly precise machines),
+but also only 3.2% of all machines produce balls
+with a variance of as high as 50 or more (particularly imprecise machines). Moreover, slightly more than
+one-half (1 - 0.458 = 54.2%) of the machines work at a variance greater than 25. 
+
+Notice here the distinction between a
+[@http://en.wikipedia.org/wiki/Bayesian_inference Bayesian] analysis and a
+[@http://en.wikipedia.org/wiki/Frequentist_inference frequentist] analysis:
+because we model the variance as random variable itself,
+we can calculate and straightforwardly interpret probabilities for given parameter values directly,
+while such an approach is not possible (and interpretationally a strict ['must-not]) in the frequentist
+world.
+
+[h5 Step 2: Investigate a single machine]
+
+In the second step, we investigate a single machine,
+which is suspected to suffer from a major fault
+as the produced balls show fairly high size variability.
+Based on the prior distribution of generic machinery performance (derived above)
+and data on balls produced by the suspect machine, we calculate the posterior distribution for that 
+machine and use its properties for guidance regarding continued machine operation or suspension.
+
+It can be shown that if the prior distribution
+was chosen to be scaled-inverse-chi-square distributed,
+then the posterior distribution is also scaled-inverse-chi-squared-distributed 
+(prior and posterior distributions are hence conjugate).
+For more details regarding conjugacy and formula to derive the parameters set
+for the posterior distribution see
+[@http://en.wikipedia.org/wiki/Conjugate_prior Conjugate prior].
+
+
+Given the prior distribution parameters and sample data (of size n), the posterior distribution parameters 
+are given by the two expressions:
+
+__spaces [nu][sub posterior] = [nu][sub prior] + n
+
+which gives the posteriorDF below, and
+
+__spaces s[sub posterior] = ([nu][sub prior]s[sub prior] + [Sigma][super n][sub i=1](x[sub i] - [mu])[super 2]) / ([nu][sub prior] + n)
+
+which after some rearrangement gives the formula for the posteriorScale below.
+
+Machine-specific data consist of 100 balls which were accurately measured
+and show the expected mean of 3000 [mu]m and a sample variance of 55 (calculated for a sample mean defined to be 3000 exactly).
+From these data, the prior parameterization, and noting that the term 
+[Sigma][super n][sub i=1](x[sub i] - [mu])[super 2] equals the sample variance multiplied by n - 1,
+it follows that the posterior distribution of the variance parameter
+is scaled-inverse-chi-squared distribution with degrees-of-freedom ([nu][sub posterior]) = 120 and 
+scale (s[sub posterior]) = 49.54.
+*/
+
+  int ballsSampleSize = 100;
+  cout <<"balls sample size: " << ballsSampleSize << endl;
+  double ballsSampleVariance = 55.0;
+  cout <<"balls sample variance: " << ballsSampleVariance << endl;
+
+  double posteriorDF = priorDF + ballsSampleSize;
+  cout << "prior degrees-of-freedom: " << priorDF << endl;
+  cout << "posterior degrees-of-freedom: " << posteriorDF << endl;
+  
+  double posteriorScale = 
+    (priorDF * priorScale + (ballsSampleVariance * (ballsSampleSize - 1))) / posteriorDF;
+  cout << "prior scale: " << priorScale  << endl;
+  cout << "posterior scale: " << posteriorScale << endl;
+
+/*`An interesting feature here is that one needs only to know a summary statistics of the sample
+to parameterize the posterior distribution: the 100 individual ball measurements are irrelevant,
+just knowledge of the sample variance and number of measurements is sufficient.
+*/
+
+//] [/inverse_chi_squared_bayes_eg_3]
+
+//[inverse_chi_squared_bayes_eg_output_3
+/*`That produces this output:
+
+
+  balls sample size: 100
+  balls sample variance: 55
+  prior degrees-of-freedom: 20
+  posterior degrees-of-freedom: 120
+  prior scale: 25
+  posterior scale: 49.5
+   
+  */
+//] [/inverse_chi_squared_bayes_eg_output_3]
+
+//[inverse_chi_squared_bayes_eg_4
+/*`To compare the generic machinery performance with our suspect machine,
+we calculate again the same quantiles and probabilities as above,
+and find a distribution clearly shifted to greater values (see figure).
+
+[graph prior_posterior_plot]
+
+*/
+
+ inverse_chi_squared posterior(posteriorDF, posteriorScale);
+
+  cout << "Posterior distribution:" << endl << endl;
+  cout << "  2.5% quantile: " << boost::math::quantile(posterior, 0.025) << endl;
+  cout << "  50% quantile: " << boost::math::quantile(posterior, 0.5) << endl;
+  cout << "  97.5% quantile: " << boost::math::quantile(posterior, 0.975) << endl << endl;
+
+  cout << "  probability variance <= 15: " << boost::math::cdf(posterior, 15.0) << endl;
+  cout << "  probability variance <= 25: " << boost::math::cdf(posterior, 25.0) << endl;
+  cout << "  probability variance > 50: " 
+    << boost::math::cdf(boost::math::complement(posterior, 50.0)) << endl;
+
+//] [/inverse_chi_squared_bayes_eg_4]
+
+//[inverse_chi_squared_bayes_eg_output_4
+/*`This produces this output:
+
+ Posterior distribution:
+  
+    2.5% quantile: 39.1
+    50% quantile: 49.8
+    97.5% quantile: 64.9
+  
+    probability variance <= 15: 2.97e-031
+    probability variance <= 25: 8.85e-010
+    probability variance > 50: 0.489
+  
+*/
+//] [/inverse_chi_squared_bayes_eg_output_4]
+
+//[inverse_chi_squared_bayes_eg_5
+/*`Indeed, the probability that the machine works at a low variance (<= 15) is almost zero,
+and even the probability of working at average or better performance is negligibly small
+(less than one-millionth of a permille). 
+On the other hand, with an almost near-half probability (49%), the machine operates in the
+extreme high variance range of > 50 characteristic for poorly performing machines.
+
+Based on this information the operation of the machine is taken out of use and serviced.
+
+In summary, the Bayesian analysis allowed us to make exact probabilistic statements about a
+parameter of interest, and hence provided us results with straightforward interpretation. 
+
+*/
+//] [/inverse_chi_squared_bayes_eg_5]
+
+} // int main()
+
+//[inverse_chi_squared_bayes_eg_output
+/*`
+[pre
+ Inverse_chi_squared_distribution Bayes example: 
+  
+   Prior distribution:
+  
+    2.5% quantile: 14.6
+    50% quantile: 25.9
+    97.5% quantile: 52.1
+  
+    probability variance <= 15: 0.031
+    probability variance <= 25: 0.458
+    probability variance > 50: 0.0318
+  
+  balls sample size: 100
+  balls sample variance: 55
+  prior degrees-of-freedom: 20
+  posterior degrees-of-freedom: 120
+  prior scale: 25
+  posterior scale: 49.5
+  Posterior distribution:
+  
+    2.5% quantile: 39.1
+    50% quantile: 49.8
+    97.5% quantile: 64.9
+  
+    probability variance <= 15: 2.97e-031
+    probability variance <= 25: 8.85e-010
+    probability variance > 50: 0.489
+
+] [/pre]
+*/
+//] [/inverse_chi_squared_bayes_eg_output]
diff --git a/src/boost/libs/math/example/inverse_chi_squared_example.cpp b/src/boost/libs/math/example/inverse_chi_squared_example.cpp
new file mode 100644
index 00000000..d21b0dc0
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_chi_squared_example.cpp
@@ -0,0 +1,171 @@
+// inverse_chi_squared_distribution_example.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright Thomas Mang 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 1 of using inverse chi squared distribution
+#include <boost/math/distributions/inverse_chi_squared.hpp>
+using boost::math::inverse_chi_squared_distribution;  // inverse_chi_squared_distribution.
+using boost::math::inverse_chi_squared; //typedef for nverse_chi_squared_distribution double.
+
+#include <iostream>
+using std::cout;    using std::endl;
+#include <iomanip> 
+using std::setprecision;
+using std::setw;
+#include <cmath>
+using std::sqrt;
+
+template <class RealType>
+RealType naive_pdf1(RealType df, RealType x)
+{ // Formula from Wikipedia http://en.wikipedia.org/wiki/Inverse-chi-square_distribution
+  // definition 1 using tgamma for simplicity as a check.
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType df2 = df / 2;
+   RealType result = (pow(2., -df2) * pow(x, (-df2 -1)) * exp(-1/(2 * x) ) )
+      / tgamma(df2);  // 
+   return result;
+}
+
+template <class RealType>
+RealType naive_pdf2(RealType df, RealType x)
+{ // Formula from Wikipedia http://en.wikipedia.org/wiki/Inverse-chi-square_distribution
+  // Definition 2, using tgamma for simplicity as a check.
+  // Not scaled, so assumes scale = 1 and only uses nu aka df.
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType df2 = df / 2;
+   RealType result = (pow(df2, df2) * pow(x, (-df2 -1)) * exp(-df/(2*x) ) )
+     / tgamma(df2);
+   return result;
+}
+
+template <class RealType>
+RealType naive_pdf3(RealType df, RealType scale, RealType x)
+{ // Formula from Wikipedia http://en.wikipedia.org/wiki/Scaled-inverse-chi-square_distribution
+  // *Scaled* version, definition 3, df aka nu, scale aka sigma^2
+  // using tgamma for simplicity as a check.
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType df2 = df / 2;
+   RealType result = (pow(scale * df2, df2) * exp(-df2 * scale/x) ) 
+     / (tgamma(df2) * pow(x, 1+df2));
+   return result;
+}
+
+template <class RealType>
+RealType naive_pdf4(RealType df, RealType scale, RealType x)
+{ // Formula from http://mathworld.wolfram.com/InverseChi-SquaredDistribution.html
+  // Weisstein, Eric W. "Inverse Chi-Squared Distribution." From MathWorld--A Wolfram Web Resource.
+  // *Scaled* version, definition 3, df aka nu, scale aka sigma^2
+  // using tgamma for simplicity as a check.
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType nu = df; // Wolfram uses greek symbols nu,
+   RealType xi = scale; // and xi.
+   RealType result = 
+     pow(2, -nu/2) *  exp(- (nu * xi)/(2 * x)) * pow(x, -1-nu/2) * pow((nu * xi), nu/2) 
+     / tgamma(nu/2);
+   return result;
+}
+
+int main()
+{
+
+  cout << "Example (basic) using Inverse chi squared distribution. " << endl;
+
+  // TODO find a more practical/useful example.  Suggestions welcome?
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  int max_digits10 = 2 + (boost::math::policies::digits<double, boost::math::policies::policy<> >() * 30103UL) / 100000UL;
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined" << endl; 
+#else 
+  int max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+  cout << "Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = "
+    << max_digits10 << endl; 
+  cout.precision(max_digits10); // 
+
+  inverse_chi_squared ichsqdef; // All defaults  - not very useful!
+  cout << "default df = " << ichsqdef.degrees_of_freedom()
+    << ", default scale = " <<  ichsqdef.scale() << endl; //  default df = 1, default scale = 0.5
+
+   inverse_chi_squared ichsqdef4(4); // Unscaled version, default scale = 1 / degrees_of_freedom
+   cout << "default df = " << ichsqdef4.degrees_of_freedom()
+    << ", default scale = " <<  ichsqdef4.scale() << endl; //  default df = 4, default scale = 2
+
+   inverse_chi_squared ichsqdef32(3, 2); // Scaled version, both degrees_of_freedom and scale specified.
+   cout << "default df = " << ichsqdef32.degrees_of_freedom()
+    << ", default scale = " <<  ichsqdef32.scale() << endl; // default df = 3, default scale = 2
+
+  {
+    cout.precision(3);
+    double nu = 5.;
+    //double scale1 = 1./ nu; // 1st definition sigma^2 = 1/df;
+    //double scale2 = 1.; // 2nd definition sigma^2 = 1
+    inverse_chi_squared ichsq(nu, 1/nu); // Not scaled
+    inverse_chi_squared sichsq(nu, 1/nu); // scaled
+
+    cout << "nu = " << ichsq.degrees_of_freedom() << ", scale = " << ichsq.scale() << endl;
+
+    int width = 8;
+
+    cout << "     x        pdf      pdf1   pdf2  pdf(scaled)    pdf       pdf      cdf     cdf" << endl;
+    for (double x = 0.0; x < 1.; x += 0.1)
+    {
+      cout 
+        << setw(width) << x 
+        << ' ' << setw(width) << pdf(ichsq, x) // unscaled
+        << ' ' << setw(width) << naive_pdf1(nu,  x) // Wiki def 1 unscaled matches graph 
+        << ' ' << setw(width) << naive_pdf2(nu,  x) // scale = 1 - 2nd definition.
+        << ' ' << setw(width) << naive_pdf3(nu, 1/nu, x) // scaled 
+        << ' ' << setw(width) << naive_pdf4(nu, 1/nu, x) // scaled 
+        << ' ' << setw(width) << pdf(sichsq, x)  // scaled
+        << ' ' << setw(width) << cdf(sichsq, x)  // scaled
+        << ' ' << setw(width) << cdf(ichsq, x)  // unscaled
+       << endl;
+    }
+  }
+
+  cout.precision(max_digits10);
+
+  inverse_chi_squared ichisq(2., 0.5);
+  cout << "pdf(ichisq, 1.) = " << pdf(ichisq, 1.) << endl;
+  cout << "cdf(ichisq, 1.) = " << cdf(ichisq, 1.) << endl;
+
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+ Example (basic) using Inverse chi squared distribution. 
+  Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = 17
+  default df = 1, default scale = 1
+  default df = 4, default scale = 0.25
+  default df = 3, default scale = 2
+  nu = 5, scale = 0.2
+       x        pdf      pdf1   pdf2  pdf(scaled)    pdf       pdf      cdf     cdf
+         0        0    -1.#J    -1.#J    -1.#J    -1.#J        0        0        0
+       0.1     2.83     2.83 3.26e-007     2.83     2.83     2.83   0.0752   0.0752
+       0.2     3.05     3.05  0.00774     3.05     3.05     3.05    0.416    0.416
+       0.3      1.7      1.7    0.121      1.7      1.7      1.7    0.649    0.649
+       0.4    0.941    0.941    0.355    0.941    0.941    0.941    0.776    0.776
+       0.5    0.553    0.553    0.567    0.553    0.553    0.553    0.849    0.849
+       0.6    0.345    0.345    0.689    0.345    0.345    0.345    0.893    0.893
+       0.7    0.227    0.227    0.728    0.227    0.227    0.227    0.921    0.921
+       0.8    0.155    0.155    0.713    0.155    0.155    0.155     0.94     0.94
+       0.9     0.11     0.11    0.668     0.11     0.11     0.11    0.953    0.953
+         1   0.0807   0.0807     0.61   0.0807   0.0807   0.0807    0.963    0.963
+  pdf(ichisq, 1.) = 0.30326532985631671
+  cdf(ichisq, 1.) = 0.60653065971263365
+
+
+*/
+
diff --git a/src/boost/libs/math/example/inverse_chi_squared_find_df_example.cpp b/src/boost/libs/math/example/inverse_chi_squared_find_df_example.cpp
new file mode 100644
index 00000000..ea0f932d
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_chi_squared_find_df_example.cpp
@@ -0,0 +1,186 @@
+// inverse_chi_squared_distribution_find_df_example.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright Thomas Mang 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#define BOOST_MATH_INSTRUMENT
+
+// Example 1 of using inverse chi squared distribution
+#include <boost/math/distributions/inverse_chi_squared.hpp>
+using boost::math::inverse_chi_squared_distribution;  // inverse_chi_squared_distribution.
+using boost::math::inverse_chi_squared; //typedef for nverse_chi_squared_distribution double.
+
+#include <iostream>
+using std::cout;    using std::endl;
+#include <iomanip> 
+using std::setprecision;
+using std::setw;
+#include <cmath>
+using std::sqrt;
+
+int main()
+{
+  cout << "Example using Inverse chi squared distribution to find df. " << endl;
+  try
+  {
+    cout.precision(std::numeric_limits<double>::max_digits10); // 
+    int i = std::numeric_limits<double>::max_digits10;
+    cout << "Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = " << i << endl; 
+
+    cout.precision(3);
+    double nu = 10.;
+    double scale1 = 1./ nu; // 1st definition sigma^2 = 1/df;
+    double scale2 = 1.; // 2nd definition sigma^2 = 1
+    inverse_chi_squared sichsq(nu, 1/nu); // Explicitly scaled to default scale = 1/df.
+    inverse_chi_squared ichsq(nu); // Implicitly scaled to default scale = 1/df.
+    // Try degrees of freedom estimator
+
+    //double df = chi_squared::find_degrees_of_freedom(-diff, alpha[i], alpha[i], variance);
+
+    cout << "ichsq.degrees_of_freedom() = " << ichsq.degrees_of_freedom() << endl;
+
+    double diff = 0.5;  // difference from variance to detect (delta).
+    double variance = 1.; // true variance
+    double alpha = 0.9;
+    double beta = 0.9;
+
+    cout << "diff = " << diff 
+      << ", variance = " << variance << ", ratio = " << diff/variance
+      << ", alpha = " << alpha << ", beta = " << beta << endl;
+    using boost::math::detail::inverse_chi_square_df_estimator;
+    using boost::math::policies::default_policy;
+    inverse_chi_square_df_estimator<> a_df(alpha, beta, variance, diff);
+
+    cout << "df    est" << endl;
+    for (double df = 1; df < 3; df += 0.1)
+    {
+      double est_df = a_df(1);
+      cout << df << "    " << a_df(df) << endl;
+    }
+
+    //template <class F, class T, class Tol, class Policy>std::pair<T, T> 
+    // bracket_and_solve_root(F f, const T& guess, T factor, bool rising, Tol tol, boost::uintmax_t& max_iter, const Policy& pol)
+
+
+    //double df = inverse_chi_squared_distribution<>::find_degrees_of_freedom(diff, alpha, beta, variance, 0);
+  
+    double df = inverse_chi_squared::find_degrees_of_freedom(diff, alpha, beta, variance, 100);
+
+    cout << df << endl;
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies 
+    // are to throw exceptions on arguments that cause errors like underflow, overflow. 
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+  Example using Inverse chi squared distribution to find df. 
+  Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = 17
+  10
+  
+  Message from thrown exception was:
+     Error in function boost::math::inverse_chi_squared_distribution<double>::inverse_chi_squared_distribution: Degrees of freedom argument is 1.#INF, but must be > 0 !
+diff = 0.5, variance = 1, ratio = 0.5, alpha = 0.1, beta = 0.1
+  df    est
+  1    1
+  ratio+1 = 1.5, quantile(0.1) = 0.00618, cdf = 6.5e-037, result = -0.1
+  1.1    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.00903, cdf = 1.2e-025, result = -0.1
+  1.2    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0125, cdf = 8.25e-019, result = -0.1
+  1.3    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0166, cdf = 2.17e-014, result = -0.1
+  1.4    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0212, cdf = 2.2e-011, result = -0.1
+  1.5    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0265, cdf = 3e-009, result = -0.1
+  1.6    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0323, cdf = 1.11e-007, result = -0.1
+  1.7    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0386, cdf = 1.7e-006, result = -0.1
+  1.8    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0454, cdf = 1.41e-005, result = -0.1
+  1.9    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0527, cdf = 7.55e-005, result = -0.1
+  2    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0604, cdf = 0.000291, result = -0.1
+  2.1    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0685, cdf = 0.00088, result = -0.1
+  2.2    -0.1
+  ratio+1 = 1.5, quantile(0.1) = 0.0771, cdf = 0.0022, result = -0.0999
+  2.3    -0.0999
+  ratio+1 = 1.5, quantile(0.1) = 0.0859, cdf = 0.00475, result = -0.0997
+  2.4    -0.0997
+  ratio+1 = 1.5, quantile(0.1) = 0.0952, cdf = 0.00911, result = -0.0993
+  2.5    -0.0993
+  ratio+1 = 1.5, quantile(0.1) = 0.105, cdf = 0.0159, result = -0.0984
+  2.6    -0.0984
+  ratio+1 = 1.5, quantile(0.1) = 0.115, cdf = 0.0257, result = -0.0967
+  2.7    -0.0967
+  ratio+1 = 1.5, quantile(0.1) = 0.125, cdf = 0.039, result = -0.094
+  2.8    -0.094
+  ratio+1 = 1.5, quantile(0.1) = 0.135, cdf = 0.056, result = -0.0897
+  2.9    -0.0897
+  ratio+1 = 1.5, quantile(0.1) = 20.6, cdf = 1, result = 0.9
+
+    ichsq.degrees_of_freedom() = 10
+  diff = 0.5, variance = 1, ratio = 0.5, alpha = 0.9, beta = 0.9
+  df    est
+  1    1
+  ratio+1 = 1.5, quantile(0.9) = 0.729, cdf = 0.269, result = -0.729
+  1.1    -0.729
+  ratio+1 = 1.5, quantile(0.9) = 0.78, cdf = 0.314, result = -0.693
+  1.2    -0.693
+  ratio+1 = 1.5, quantile(0.9) = 0.83, cdf = 0.36, result = -0.655
+  1.3    -0.655
+  ratio+1 = 1.5, quantile(0.9) = 0.879, cdf = 0.405, result = -0.615
+  1.4    -0.615
+  ratio+1 = 1.5, quantile(0.9) = 0.926, cdf = 0.449, result = -0.575
+  1.5    -0.575
+  ratio+1 = 1.5, quantile(0.9) = 0.973, cdf = 0.492, result = -0.535
+  1.6    -0.535
+  ratio+1 = 1.5, quantile(0.9) = 1.02, cdf = 0.534, result = -0.495
+  1.7    -0.495
+  ratio+1 = 1.5, quantile(0.9) = 1.06, cdf = 0.574, result = -0.455
+  1.8    -0.455
+  ratio+1 = 1.5, quantile(0.9) = 1.11, cdf = 0.612, result = -0.417
+  1.9    -0.417
+  ratio+1 = 1.5, quantile(0.9) = 1.15, cdf = 0.648, result = -0.379
+  2    -0.379
+  ratio+1 = 1.5, quantile(0.9) = 1.19, cdf = 0.681, result = -0.342
+  2.1    -0.342
+  ratio+1 = 1.5, quantile(0.9) = 1.24, cdf = 0.713, result = -0.307
+  2.2    -0.307
+  ratio+1 = 1.5, quantile(0.9) = 1.28, cdf = 0.742, result = -0.274
+  2.3    -0.274
+  ratio+1 = 1.5, quantile(0.9) = 1.32, cdf = 0.769, result = -0.242
+  2.4    -0.242
+  ratio+1 = 1.5, quantile(0.9) = 1.36, cdf = 0.793, result = -0.212
+  2.5    -0.212
+  ratio+1 = 1.5, quantile(0.9) = 1.4, cdf = 0.816, result = -0.184
+  2.6    -0.184
+  ratio+1 = 1.5, quantile(0.9) = 1.44, cdf = 0.836, result = -0.157
+  2.7    -0.157
+  ratio+1 = 1.5, quantile(0.9) = 1.48, cdf = 0.855, result = -0.133
+  2.8    -0.133
+  ratio+1 = 1.5, quantile(0.9) = 1.52, cdf = 0.872, result = -0.11
+  2.9    -0.11
+  ratio+1 = 1.5, quantile(0.9) = 29.6, cdf = 1, result = 0.1
+
+
+  */
+  
diff --git a/src/boost/libs/math/example/inverse_gamma_distribution_example.cpp b/src/boost/libs/math/example/inverse_gamma_distribution_example.cpp
new file mode 100644
index 00000000..53e5ccf0
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_gamma_distribution_example.cpp
@@ -0,0 +1,103 @@
+// inverse_gamma_distribution_example.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright Thomas Mang 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 1 of using inverse gamma
+#include <boost/math/distributions/inverse_gamma.hpp>
+using boost::math::inverse_gamma_distribution;  //  inverse_gamma_distribution.
+using boost::math::inverse_gamma;
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma; // Used for naive pdf as a comparison.
+
+#include <boost/math/distributions/gamma.hpp>
+using boost::math::inverse_gamma_distribution;
+
+#include <iostream>
+using std::cout;    using std::endl;
+#include <iomanip>
+using std::setprecision;
+#include <cmath>
+using std::sqrt;
+
+int main()
+{
+
+  cout << "Example using Inverse Gamma distribution. " << endl;
+  // TODO - awaiting a real example using Bayesian statistics.
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  int max_digits10 = 2 + (boost::math::policies::digits<double, boost::math::policies::policy<> >() * 30103UL) / 100000UL;
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined" << endl;
+#else
+  int max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+  cout << "Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = "
+    << max_digits10 << endl;
+  cout.precision(max_digits10); //
+
+  double shape = 1.;
+  double scale = 1.;
+  double x = 0.5;
+  // Construction using default RealType double, and default shape and scale..
+  inverse_gamma_distribution<> my_inverse_gamma(shape, scale); // (alpha, beta)
+
+  cout << "my_inverse_gamma.shape() = " << my_inverse_gamma.shape()
+    << ", scale = "<< my_inverse_gamma.scale() << endl;
+  cout << "x = " << x << ", pdf = " << pdf(my_inverse_gamma, x)
+    << ", cdf = " << cdf(my_inverse_gamma, x) << endl;
+
+  // Construct using  typedef and default shape and scale parameters.
+  inverse_gamma my_ig;
+
+  inverse_gamma my_ig23(2, 3);
+  cout << "my_inverse_gamma.shape() = " << my_ig23.shape()
+    << ", scale = "<< my_ig23.scale() << endl;
+  cout << "x = " << x << ", pdf = " << pdf(my_ig23, x)
+    << ", cdf = " << cdf(my_ig23, x) << endl;
+
+  // Example of providing an 'out of domain' or 'bad' parameter,
+  // here a shape < 1, for which mean is not defined.
+  // Try block is essential to catch the exception message.
+  // (Uses the default policy which is to throw on all errors).
+  try
+  {
+    inverse_gamma if051(0.5, 1);
+    //inverse_gamma if051(0.5, 1);
+    cout << "mean(if051) = " << mean(if051) << endl;
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+  Example using Inverse Gamma distribution.
+  std::numeric_limits<double>::max_digits10 = 17
+  my_inverse_gamma.shape() = 1, scale = 1
+  x = 0.5, pdf = 0.54134113294645081, cdf = 0.1353352832366127
+  my_inverse_gamma.shape() = 2, scale = 3
+  x = 0.5, pdf = 0.17847015671997774, cdf = 0.017351265236664509
+
+  Message from thrown exception was:
+     Error in function boost::math::mean(const inverse_gamma_distribution<double>&): Shape parameter is 0.5, but for a defined mean it must be > 1
+
+
+*/
+
+
diff --git a/src/boost/libs/math/example/inverse_gamma_example.cpp b/src/boost/libs/math/example/inverse_gamma_example.cpp
new file mode 100644
index 00000000..5ec49665
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_gamma_example.cpp
@@ -0,0 +1,57 @@
+// inverse_gamma_example.cpp
+
+// Copyright Paul A. Bristow 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 1 of using inverse gamma functions.
+
+#include <boost/math/special_functions/gamma.hpp>
+
+using boost::math::gamma_p_inv; // Compute x given a
+//using boost::math::gamma_q_inv;
+//using boost::math::gamma_p_inva; // Compute a given x
+//using boost::math::gamma_q_inva;
+
+#include <iostream>
+   using std::cout;    using std::endl;
+#include <iomanip>
+   using std::setprecision;
+#include <cmath>
+   using std::sqrt;
+#include <limits>
+
+int main()
+{
+  cout << "Example 1 using Inverse Gamma function. " << endl;
+
+  #ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  int max_digits10 = 2 + (boost::math::policies::digits<double, boost::math::policies::policy<> >() * 30103UL) / 100000UL;
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined" << endl; 
+#else 
+  int max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+  cout << "Show all potentially significant decimal digits std::numeric_limits<double>::max_digits10 = "
+    << max_digits10 << endl; 
+  cout.precision(max_digits10); // 
+
+  double x = 1.;
+  double a = 10;
+
+  double r = boost::math::gamma_q_inv(a ,x);
+
+  cout << " x = " << x << ", = gamma_q_inv(a,x)" << r << endl; // 
+  
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+*/
+
+
diff --git a/src/boost/libs/math/example/inverse_gaussian_example.cpp b/src/boost/libs/math/example/inverse_gaussian_example.cpp
new file mode 100644
index 00000000..4f212aa5
--- /dev/null
+++ b/src/boost/libs/math/example/inverse_gaussian_example.cpp
@@ -0,0 +1,513 @@
+// wald_example.cpp or inverse_gaussian_example.cpp
+
+// Copyright Paul A. Bristow 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of using the Inverse Gaussian (or Inverse Normal) distribution.
+// The Wald Distribution is
+
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[inverse_gaussian_basic1
+/*`
+First we need some includes to access the normal distribution
+(and some std output of course).
+*/
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4224)
+# pragma warning (disable : 4189)
+# pragma warning (disable : 4100)
+# pragma warning (disable : 4224)
+# pragma warning (disable : 4512)
+# pragma warning (disable : 4702)
+# pragma warning (disable : 4127)
+#endif
+
+//#define BOOST_MATH_INSTRUMENT
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error
+
+#include <boost/math/distributions/inverse_gaussian.hpp> // for inverse_gaussian_distribution
+  using boost::math::inverse_gaussian; // typedef provides default type is double.
+  using boost::math::inverse_gaussian_distribution; // for inverse gaussian distribution.
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+using boost::math::normal; // typedef provides default type is double.
+
+#include <boost/array.hpp>
+using boost::array;
+
+#include <iostream>
+  using std::cout; using std::endl; using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+#include <sstream>
+  using std::string;
+#include <string>
+  using std::stringstream;
+
+// const double tol = 3 * numeric_limits<double>::epsilon();
+
+int main()
+{
+  cout << "Example: Inverse Gaussian Distribution."<< endl;
+
+ try
+  {
+
+      double tolfeweps = numeric_limits<double>::epsilon();
+      //cout << "Tolerance = " << tol << endl;
+
+      int precision = 17; // traditional tables are only computed to much lower precision.
+      cout.precision(17); // std::numeric_limits<double>::max_digits10; for 64-bit doubles.
+
+     // Traditional tables and values.
+     double step = 0.2; // in z
+      double range = 4; // min and max z = -range to +range.
+      // Construct a (standard) inverse gaussian distribution s
+      inverse_gaussian w11(1, 1);
+      // (default mean = units, and standard deviation = unity)
+      cout << "(Standard) Inverse Gaussian distribution, mean = "<< w11.mean()
+          << ", scale = " << w11.scale() << endl;
+
+/*` First the probability distribution function (pdf).
+ */
+      cout << "Probability distribution function (pdf) values" << endl;
+      cout << "  z " "      pdf " << endl;
+      cout.precision(5);
+      for (double z = (numeric_limits<double>::min)(); z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " "
+          << setprecision(precision) << setw(12) << pdf(w11, z) << endl;
+      }
+      cout.precision(6); // default
+ /*`And the area under the normal curve from -[infin] up to z,
+      the cumulative distribution function (cdf).
+*/
+
+      // For a (default) inverse gaussian distribution.
+      cout << "Integral (area under the curve) from 0 up to z (cdf) " << endl;
+      cout << "  z " "      cdf " << endl;
+      for (double z = (numeric_limits<double>::min)(); z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " "
+          << setprecision(precision) << setw(12) << cdf(w11, z) << endl;
+      }
+      /*`giving the following table:
+[pre
+    z       pdf
+  2.23e-308 -1.#IND
+  0.2    0.90052111680384117
+  0.4    1.0055127039453111
+  0.6    0.75123750098955733
+  0.8    0.54377310461643302
+  1      0.3989422804014327
+  1.2    0.29846949816803292
+  1.4    0.2274579835638664
+  1.6    0.17614566625628389
+  1.8    0.13829083543591469
+  2      0.10984782236693062
+  2.2    0.088133964251182237
+  2.4    0.071327382959107177
+  2.6    0.058162562161661699
+  2.8    0.047742223328567722
+  3      0.039418357969819712
+  3.2    0.032715223861241892
+  3.4    0.027278388940958308
+  3.6    0.022840312999395804
+  3.8    0.019196657941016954
+  4      0.016189699458236451
+  Integral (area under the curve) from 0 up to z (cdf)
+    z       cdf
+  2.23e-308 0
+  0.2    0.063753567519976254
+  0.4    0.2706136704424541
+  0.6    0.44638391340412931
+  0.8    0.57472390962590925
+  1      0.66810200122317065
+  1.2    0.73724578422952536
+  1.4    0.78944214237790356
+  1.6    0.82953458108474554
+  1.8    0.86079282968276671
+  2      0.88547542598600626
+  2.2    0.90517870624273966
+  2.4    0.92105495653509362
+  2.6    0.93395164268166786
+  2.8    0.94450240360053817
+  3      0.95318792074278835
+  3.2    0.96037753019309191
+  3.4    0.96635823989417369
+  3.6    0.97135533107998406
+  3.8    0.97554722413538364
+  4      0.97907636417888622
+]
+
+/*`We can get the inverse, the quantile, percentile, percentage point, or critical value
+for a probability for a few probability from the above table, for z = 0.4, 1.0, 2.0:
+*/
+      cout << quantile(w11, 0.27061367044245421 ) << endl; // 0.4
+      cout << quantile(w11, 0.66810200122317065) << endl; // 1.0
+      cout << quantile(w11, 0.88547542598600615) << endl; // 2.0
+/*`turning the expect values apart from some 'computational noise' in the least significant bit or two.
+
+[pre
+  0.40000000000000008
+  0.99999999999999967
+  1.9999999999999973
+]
+
+*/
+
+    //  cout << "pnorm01(-0.406053) " << pnorm01(-0.406053) << ", cdfn01(-0.406053) = " << cdf(n01, -0.406053) << endl;
+   //cout << "pnorm01(0.5) = " << pnorm01(0.5) << endl; // R pnorm(0.5,0,1) = 0.6914625  == 0.69146246127401312
+    // R qnorm(0.6914625,0,1) = 0.5
+
+    // formatC(SuppDists::qinvGauss(0.3649755481729598, 1, 1), digits=17)  [1] "0.50000000969034875"
+
+
+
+  // formatC(SuppDists::dinvGauss(0.01, 1, 1), digits=17) [1] "2.0811768202028392e-19"
+  // formatC(SuppDists::pinvGauss(0.01, 1, 1), digits=17) [1] "4.122313403318778e-23"
+
+
+
+  //cout << " qinvgauss(0.3649755481729598, 1, 1) = " << qinvgauss(0.3649755481729598, 1, 1) << endl;  // 0.5
+ // cout << quantile(s, 0.66810200122317065) << endl; // expect 1, get 0.50517388467190727
+  //cout << " qinvgauss(0.62502320258649202, 1, 1) = " << qinvgauss(0.62502320258649202, 1, 1) << endl; // 0.9
+  //cout << " qinvgauss(0.063753567519976254, 1, 1) = " << qinvgauss(0.063753567519976254, 1, 1) << endl; // 0.2
+  //cout << " qinvgauss(0.0040761113207110162, 1, 1) = " << qinvgauss(0.0040761113207110162, 1, 1) << endl; // 0.1
+
+  //double x = 1.; // SuppDists::pinvGauss(0.4, 1,1) [1] 0.2706137
+  //double c = pinvgauss(x, 1, 1); // 0.3649755481729598 ==   cdf(x, 1,1) 0.36497554817295974
+  //cout << "  pinvgauss(x, 1, 1) = " << c << endl; //  pinvgauss(x, 1, 1) = 0.27061367044245421
+  //double p = pdf(w11, x);
+  //double c = cdf(w11, x); // cdf(1, 1, 1) = 0.66810200122317065
+  //cout << "cdf(" << x << ", " << w11.mean() << ", "<< w11.scale() << ") = " << c << endl; // cdf(x, 1, 1) 0.27061367044245421
+  //cout << "pdf(" << x << ", " << w11.mean() << ", "<< w11.scale() << ") = " << p << endl;
+  //double q = quantile(w11, c);
+  //cout << "quantile(w11, " << c <<  ") = " << q << endl;
+
+  //cout  << "quantile(w11, 4.122313403318778e-23) = "<< quantile(w11, 4.122313403318778e-23) << endl; // quantile
+  //cout << "quantile(w11, 4.8791443010851493e-219) = " << quantile(w11, 4.8791443010851493e-219) << endl; // quantile
+
+  //double c1 = 1 - cdf(w11, x); //  1 - cdf(1, 1, 1) = 0.33189799877682935
+  //cout << "1 - cdf(" << x << ", " << w11.mean() << ", " << w11.scale() << ") = " << c1 << endl; // cdf(x, 1, 1) 0.27061367044245421
+  //double cc = cdf(complement(w11, x));
+  //cout << "cdf(complement(" << x << ", " << w11.mean() << ", "<< w11.scale() << ")) = " << cc << endl; // cdf(x, 1, 1) 0.27061367044245421
+  //// 1 - cdf(1000, 1, 1) = 0
+  //// cdf(complement(1000, 1, 1)) = 4.8694344366900402e-222
+
+  //cout << "quantile(w11, " << c << ") = "<< quantile(w11, c) << endl; // quantile = 0.99999999999999978 == x = 1
+  //cout << "quantile(w11, " << c << ") = "<< quantile(w11, 1 - c) << endl; // quantile complement. quantile(w11, 0.66810200122317065) = 0.46336593652340152
+//  cout << "quantile(complement(w11, " << c << ")) = " << quantile(complement(w11, c)) << endl; // quantile complement                = 0.46336593652340163
+
+  // cdf(1, 1, 1) = 0.66810200122317065
+  // 1 - cdf(1, 1, 1) = 0.33189799877682935
+  // cdf(complement(1, 1, 1)) = 0.33189799877682929
+
+  // quantile(w11, 0.66810200122317065) = 0.99999999999999978
+  // 1 - quantile(w11, 0.66810200122317065) = 2.2204460492503131e-016
+  // quantile(complement(w11, 0.33189799877682929)) = 0.99999999999999989
+
+
+  // qinvgauss(c, 1, 1) = 0.3999999999999998
+  // SuppDists::qinvGauss(0.270613670442454, 1, 1) [1] 0.4
+
+
+  /*
+  double qs = pinvgaussU(c, 1, 1); //
+    cout << "qinvgaussU(c, 1, 1) = " << qs << endl; // qinvgaussU(c, 1, 1) = 0.86567442459240929
+    // > z=q - exp(c) * p [1] 0.8656744 qs 0.86567442459240929 double
+    // Is this the complement?
+    cout << "qgamma(0.2, 0.5, 1) expect 0.0320923 = " << qgamma(0.2, 0.5, 1) << endl;
+    // qgamma(0.2, 0.5, 1) expect 0.0320923 = 0.032092377333650807
+
+
+  cout << "qinvgauss(pinvgauss(x, 1, 1) = " << q
+  << ", diff = " << x - q << ", fraction = " << (x - q) /x << endl; // 0.5
+
+ */   // > SuppDists::pinvGauss(0.02, 1,1)  [1] 4.139176e-12
+  // > SuppDists::qinvGauss(4.139176e-12, 1,1) [1] 0.02000000
+
+
+    // pinvGauss(1,1,1) = 0.668102  C++  == 0.66810200122317065
+  // qinvGauss(0.668102,1,1) = 1
+
+   //  SuppDists::pinvGauss(0.3,1,1) = 0.1657266
+  // cout << "qinvGauss(0.0040761113207110162, 1, 1) = " << qinvgauss(0.0040761113207110162, 1, 1) << endl;
+  //cout << "quantile(s, 0.1657266) = " << quantile(s, 0.1657266) << endl; // expect 1.
+
+  //wald s12(2, 1);
+  //cout << "qinvGauss(0.3, 2, 1) = " << qinvgauss(0.3, 2, 1) << endl; // SuppDists::qinvGauss(0.3,2,1) == 0.58288065635052944
+  //// but actually get qinvGauss(0.3, 2, 1) = 0.58288064777632187
+  //cout  << "cdf(s12, 0.3) = " << cdf(s12, 0.3) << endl; //  cdf(s12, 0.3) = 0.10895339868447573
+
+ // using boost::math::wald;
+  //cout.precision(6);
+
+ /*
+ double m = 1;
+  double l = 1;
+  double x = 0.1;
+  //c = cdf(w, x);
+  double p = pinvgauss(x, m, l);
+  cout << "x = " << x << ",  pinvgauss(x, m, l) = " << p << endl; // R 0.4 0.2706137
+  double qg = qgamma(1.- p, 0.5, 1.0, true, false);
+  cout << " qgamma(1.- p, 0.5, 1.0, true, false) = " << qg << endl; // 0.606817
+  double g = guess_whitmore(p, m, l);
+  cout << "m = " << m << ", l = " << l << ",   x = " << x << ", guess = " << g
+    << ", diff = " << (x - g) << endl;
+
+  g = guess_wheeler(p, m, l);
+   cout << "m = " << m << ", l = " << l << ",   x = " << x << ", guess = " << g
+    << ", diff = " << (x - g) << endl;
+
+   g = guess_bagshaw(p, m, l);
+   cout << "m = " << m << ", l = " << l << ",   x = " << x << ", guess = " << g
+    << ", diff = " << (x - g) << endl;
+
+   // m = 1, l = 10,   x = 0.9, guess = 0.89792, diff = 0.00231075 so a better fit.
+  // x = 0.9, guess = 0.887907
+  // x = 0.5, guess = 0.474977
+  // x = 0.4, guess = 0.369597
+  // x = 0.2, guess = 0.155196
+
+  // m = 1, l = 2,   x = 0.9, guess = 1.0312, diff = -0.145778
+  // m = 1, l = 2,   x = 0.1, guess = 0.122201, diff = -0.222013
+  //  m = 1, l = 2,   x = 0.2, guess = 0.299326, diff = -0.49663
+  //   m = 1, l = 2,   x = 0.5, guess = 1.00437, diff = -1.00875
+  // m = 1, l = 2,   x = 0.7, guess = 1.01517, diff = -0.450247
+
+  double ls[7] = {0.1, 0.2, 0.5, 1., 2., 10, 100}; // scale values.
+  double ms[10] = {0.001, 0.02, 0.1, 0.2, 0.5, 0.9, 1., 2., 10, 100};  // mean values.
+   */
+
+    cout.precision(6); // Restore to default.
+  } // try
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+
+/*
+
+Output is:
+
+inverse_gaussian_example.cpp
+  inverse_gaussian_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\inverse_gaussian_example.exe
+  Example: Inverse Gaussian Distribution.
+  (Standard) Inverse Gaussian distribution, mean = 1, scale = 1
+  Probability distribution function (pdf) values
+    z       pdf
+  2.23e-308 -1.#IND
+  0.2    0.90052111680384117
+  0.4    1.0055127039453111
+  0.6    0.75123750098955733
+  0.8    0.54377310461643302
+  1      0.3989422804014327
+  1.2    0.29846949816803292
+  1.4    0.2274579835638664
+  1.6    0.17614566625628389
+  1.8    0.13829083543591469
+  2      0.10984782236693062
+  2.2    0.088133964251182237
+  2.4    0.071327382959107177
+  2.6    0.058162562161661699
+  2.8    0.047742223328567722
+  3      0.039418357969819712
+  3.2    0.032715223861241892
+  3.4    0.027278388940958308
+  3.6    0.022840312999395804
+  3.8    0.019196657941016954
+  4      0.016189699458236451
+  Integral (area under the curve) from 0 up to z (cdf)
+    z       cdf
+  2.23e-308 0
+  0.2    0.063753567519976254
+  0.4    0.2706136704424541
+  0.6    0.44638391340412931
+  0.8    0.57472390962590925
+  1      0.66810200122317065
+  1.2    0.73724578422952536
+  1.4    0.78944214237790356
+  1.6    0.82953458108474554
+  1.8    0.86079282968276671
+  2      0.88547542598600626
+  2.2    0.90517870624273966
+  2.4    0.92105495653509362
+  2.6    0.93395164268166786
+  2.8    0.94450240360053817
+  3      0.95318792074278835
+  3.2    0.96037753019309191
+  3.4    0.96635823989417369
+  3.6    0.97135533107998406
+  3.8    0.97554722413538364
+  4      0.97907636417888622
+  0.40000000000000008
+  0.99999999999999967
+  1.9999999999999973
+
+
+
+> SuppDists::dinvGauss(2, 1, 1) [1] 0.1098478
+> SuppDists::dinvGauss(0.4, 1, 1) [1] 1.005513
+> SuppDists::dinvGauss(0.5, 1, 1) [1] 0.8787826
+> SuppDists::dinvGauss(0.39, 1, 1) [1] 1.016559
+> SuppDists::dinvGauss(0.38, 1, 1) [1] 1.027006
+> SuppDists::dinvGauss(0.37, 1, 1) [1] 1.036748
+> SuppDists::dinvGauss(0.36, 1, 1) [1] 1.045661
+> SuppDists::dinvGauss(0.35, 1, 1) [1] 1.053611
+> SuppDists::dinvGauss(0.3, 1, 1) [1] 1.072888
+> SuppDists::dinvGauss(0.1, 1, 1) [1] 0.2197948
+> SuppDists::dinvGauss(0.2, 1, 1) [1] 0.9005211
+>
+x = 0.3 [1, 1] 1.0728879234594337  // R SuppDists::dinvGauss(0.3, 1, 1) [1] 1.072888
+
+x = 1   [1, 1] 0.3989422804014327
+
+
+ 0 "                NA"
+ 1 "0.3989422804014327"
+ 2 "0.10984782236693059"
+ 3 "0.039418357969819733"
+ 4 "0.016189699458236468"
+ 5 "0.007204168934430732"
+ 6 "0.003379893528659049"
+ 7 "0.0016462878258114036"
+ 8 "0.00082460931140859956"
+ 9 "0.00042207355643694234"
+10 "0.00021979480031862676"
+
+
+[1] "                NA"     " 0.690988298942671"     "0.11539974210409144"
+ [4] "0.01799698883772935"    "0.0029555399206496469"  "0.00050863023587406587"
+ [7] "9.0761842931362914e-05" "1.6655279133132795e-05" "3.1243174913715429e-06"
+[10] "5.96530227727434e-07"   "1.1555606328299836e-07"
+
+
+matC(dinvGauss(0:10, 1, 3), digits=17)  df = 3
+[1] "                NA"     " 0.690988298942671"     "0.11539974210409144"
+ [4] "0.01799698883772935"    "0.0029555399206496469"  "0.00050863023587406587"
+ [7] "9.0761842931362914e-05" "1.6655279133132795e-05" "3.1243174913715429e-06"
+[10] "5.96530227727434e-07"   "1.1555606328299836e-07"
+$title
+[1] "Inverse Gaussian"
+
+$nu
+[1] 1
+
+$lambda
+[1] 3
+
+$Mean
+[1] 1
+
+$Median
+[1] 0.8596309
+
+$Mode
+[1] 0.618034
+
+$Variance
+[1] 0.3333333
+
+$SD
+[1] 0.5773503
+
+$ThirdCentralMoment
+[1] 0.3333333
+
+$FourthCentralMoment
+[1] 0.8888889
+
+$PearsonsSkewness...mean.minus.mode.div.SD
+[1] 0.6615845
+
+$Skewness...sqrtB1
+[1] 1.732051
+
+$Kurtosis...B2.minus.3
+[1] 5
+
+  Example: Wald distribution.
+  (Standard) Wald distribution, mean = 1, scale = 1
+  1 dx =      0.24890250442652451, x =      0.70924622051646713
+  2 dx =    -0.038547954953794553, x =      0.46034371608994262
+  3 dx =   -0.0011074090830291131, x =      0.49889167104373716
+  4 dx = -9.1987259926368029e-007, x =      0.49999908012676625
+  5 dx =  -6.346513344581067e-013, x =      0.49999999999936551
+  dx = 6.3168242705156857e-017 at i = 6
+   qinvgauss(0.3649755481729598, 1, 1) = 0.50000000000000011
+  1 dx =       0.6719944578376621, x =       1.3735318786222666
+  2 dx =     -0.16997432635769361, x =      0.70153742078460446
+  3 dx =    -0.027865119206495724, x =      0.87151174714229807
+  4 dx =  -0.00062283290009492603, x =      0.89937686634879377
+  5 dx = -3.0075104108208687e-007, x =      0.89999969924888867
+  6 dx = -7.0485322513588089e-014, x =      0.89999999999992975
+  7 dx =   9.557331866250277e-016, x =      0.90000000000000024
+  dx = 0 at i = 8
+   qinvgauss(0.62502320258649202, 1, 1) = 0.89999999999999925
+  1 dx =   -0.0052296256747447678, x =      0.19483508278446249
+  2 dx =  6.4699046853900505e-005, x =      0.20006470845920726
+  3 dx =  9.4123530465288137e-009, x =      0.20000000941235335
+  4 dx =  2.7739513919147025e-016, x =      0.20000000000000032
+  dx = 1.5410841066192808e-016 at i = 5
+   qinvgauss(0.063753567519976254, 1, 1) = 0.20000000000000004
+  1 dx =                       -1, x =     -0.46073286697416105
+  2 dx =      0.47665501251497061, x =      0.53926713302583895
+  3 dx =       -0.171105768635964, x =     0.062612120510868341
+  4 dx =     0.091490360797512563, x =      0.23371788914683234
+  5 dx =     0.029410311722649803, x =      0.14222752834931979
+  6 dx =     0.010761845493592421, x =      0.11281721662666999
+  7 dx =    0.0019864890597643035, x =      0.10205537113307757
+  8 dx =  6.8800383732599561e-005, x =      0.10006888207331327
+  9 dx =  8.1689466405590418e-008, x =      0.10000008168958067
+  10 dx =   1.133634672475146e-013, x =      0.10000000000011428
+  11 dx =  5.9588135045224526e-016, x =      0.10000000000000091
+  12 dx =   3.433223674791152e-016, x =      0.10000000000000031
+  dx = 9.0763384505974048e-017 at i = 13
+   qinvgauss(0.0040761113207110162, 1, 1) = 0.099999999999999964
+
+
+     wald_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\wald_example.exe
+  Example: Wald distribution.
+  Tolerance = 6.66134e-016
+  (Standard) Wald distribution, mean = 1, scale = 1
+  cdf(x, 1,1) 4.1390252102096375e-012
+  qinvgauss(pinvgauss(x, 1, 1) = 0.020116801973767886, diff = -0.00011680197376788548, fraction = -0.005840098688394274
+  ____________________________________________________________
+  wald 1, 1
+  x =                     0.02, diff x - qinvgauss(cdf) = -0.00011680197376788548
+  x =      0.10000000000000001, diff x - qinvgauss(cdf) = 8.7430063189231078e-016
+  x =      0.20000000000000001, diff x - qinvgauss(cdf) = -1.1102230246251565e-016
+  x =      0.29999999999999999, diff x - qinvgauss(cdf) = 0
+  x =      0.40000000000000002, diff x - qinvgauss(cdf) = 2.2204460492503131e-016
+  x =                      0.5, diff x - qinvgauss(cdf) = -1.1102230246251565e-016
+  x =      0.59999999999999998, diff x - qinvgauss(cdf) = 1.1102230246251565e-016
+  x =      0.80000000000000004, diff x - qinvgauss(cdf) = 1.1102230246251565e-016
+  x =      0.90000000000000002, diff x - qinvgauss(cdf) = 0
+  x =      0.98999999999999999, diff x - qinvgauss(cdf) = -1.1102230246251565e-016
+  x =                    0.999, diff x - qinvgauss(cdf) = -1.1102230246251565e-016
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/example/jacobi_zeta_example.cpp b/src/boost/libs/math/example/jacobi_zeta_example.cpp
new file mode 100644
index 00000000..062f27ba
--- /dev/null
+++ b/src/boost/libs/math/example/jacobi_zeta_example.cpp
@@ -0,0 +1,104 @@
+// Copyright Paul A. Bristow, 2019
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+/*! \title  Simple example of computation of the Jacobi Zeta function using Boost.Math,
+and also using corresponding WolframAlpha commands.
+*/
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+#  error "This example requires a C++ compiler that supports C++11 numeric_limits. Try C++11 or later."
+#endif
+
+#include <boost/math/special_functions/jacobi_zeta.hpp> // For jacobi_zeta function.
+#include <boost/multiprecision/cpp_bin_float.hpp> // For cpp_bin_float_50.
+
+#include <iostream>
+#include <limits>
+#include <iostream>
+#include <exception>
+
+int main()
+{
+  try
+  {
+    std::cout.precision(std::numeric_limits<double>::max_digits10); // Show all potentially significant digits.
+    std::cout.setf(std::ios_base::showpoint); // Include any significant trailing zeros.
+
+    using boost::math::jacobi_zeta; // jacobi_zeta(T1 k, T2 phi) |k| <=1, k = sqrt(m)
+    using boost::multiprecision::cpp_bin_float_50;
+
+    // Wolfram Mathworld function JacobiZeta[phi, m] where m = k^2
+    // JacobiZeta[phi,m] gives the Jacobi zeta function Z(phi | m)
+
+    // If phi = 2, and elliptic modulus k = 0.9 so m = 0.9 * 0.9 = 0.81
+
+    // https://reference.wolfram.com/language/ref/JacobiZeta.html // Function information.
+    // A simple computation using phi = 2. and m = 0.9 * 0.9
+    // JacobiZeta[2, 0.9 * 0.9]
+    // https://www.wolframalpha.com/input/?i=JacobiZeta%5B2,+0.9+*+0.9%5D
+    // -0.248584...
+    // To get the expected 17 decimal digits precision for a 64-bit double type,
+    // we need to ask thus:
+    // N[JacobiZeta[2, 0.9 * 0.9],17]
+    // https://www.wolframalpha.com/input/?i=N%5BJacobiZeta%5B2,+0.9+*+0.9%5D,17%5D
+
+    double k = 0.9;
+    double m = k * k;
+    double phi = 2.;
+
+    std::cout << "m = k^2 = " << m << std::endl;  // m = k^2 =  0.81000000000000005
+    std::cout << "jacobi_zeta(" << k << ", " << phi << " )  = " << jacobi_zeta(k, phi) << std::endl;
+    // jacobi_zeta(0.90000000000000002, 2.0000000000000000 )  =
+    //  -0.24858442708494899  Boost.Math
+    //  -0.24858442708494893  Wolfram
+    // that agree within the expected precision of 17 decimal digits for 64-bit type double.
+
+    // We can also easily get a higher precision too:
+    // For example, to get 50 decimal digit precision using WolframAlpha:
+    // N[JacobiZeta[2, 0.9 * 0.9],50]
+    // https://www.wolframalpha.com/input/?i=N%5BJacobiZeta%5B2,+0.9+*+0.9%5D,50%5D
+    // -0.24858442708494893408462856109734087389683955309853
+
+    // Using Boost.Multiprecision we can do them same almost as easily.
+
+    // To check that we are not losing precision, we show all the significant digits of the arguments ad result:
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10); // Show all significant digits.
+
+    // We can force the computation to use 50 decimal digit precision thus:
+    cpp_bin_float_50 k50("0.9");
+    cpp_bin_float_50 phi50("2.");
+
+    std::cout << "jacobi_zeta(" << k50 << ", " << phi50 << " )  = " << jacobi_zeta(k50, phi50) << std::endl;
+    // jacobi_zeta(0.90000000000000000000000000000000000000000000000000,
+    //   2.0000000000000000000000000000000000000000000000000 )
+    //   = -0.24858442708494893408462856109734087389683955309853
+
+    // and a comparison with Wolfram shows agreement to the expected precision.
+    // -0.24858442708494893408462856109734087389683955309853  Boost.Math
+    // -0.24858442708494893408462856109734087389683955309853  Wolfram
+
+    // Taking care not to fall into the awaiting pit, we ensure that ALL arguments passed are of the
+    // appropriate 50-digit precision and do NOT suffer from precision reduction to that of type double,
+    // We do NOT write:
+    std::cout << "jacobi_zeta<cpp_bin_float_50>(0.9, 2.)  = " << jacobi_zeta<cpp_bin_float_50>(0.9, 2) << std::endl;
+    // jacobi_zeta(0.90000000000000000000000000000000000000000000000000,
+    //   2.0000000000000000000000000000000000000000000000000 )
+    //   = -0.24858442708494895921459900494815797085727097762164  << Wrong at about 17th digit!
+    //     -0.24858442708494893408462856109734087389683955309853  Wolfram
+  }
+  catch (std::exception const& ex)
+  {
+    // Lacking try&catch blocks, the program will abort after any throw, whereas the
+    // message below from the thrown exception will give some helpful clues as to the cause of the problem.
+    std::cout << "\n""Message from thrown exception was:\n   " << ex.what() << std::endl;
+    // An example of message:
+    // std::cout << " = " << jacobi_zeta(2, 0.5) << std::endl;
+    // Message from thrown exception was:
+    // Error in function boost::math::ellint_k<long double>(long double) : Got k = 2, function requires |k| <= 1
+    // Shows that first parameter is k and is out of range, as the definition in docs jacobi_zeta(T1 k, T2 phi);
+  }
+} // int main()
diff --git a/src/boost/libs/math/example/lambert_w_basic_example.cpp b/src/boost/libs/math/example/lambert_w_basic_example.cpp
new file mode 100644
index 00000000..86941619
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_basic_example.cpp
@@ -0,0 +1,30 @@
+// Copyright Paul A. Bristow 2018
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of most basic call of both lambert W functions.
+// Only requires C++03 
+// (and optionally a call of max_digits10 to show precision).
+
+#include <boost/math/special_functions/lambert_w.hpp> // For lambert_w0 and wm1 functions.
+
+#include <iostream>
+#include <iomanip>
+
+int main()
+{
+  double z = 2.0;
+  double w0 = boost::math::lambert_w0(z);
+  std::cout.setf(std::ios_base::showpoint); // Include any trailing zeros.
+  std::cout.precision(std::numeric_limits<double>::max_digits10); // Show all possibly significant digits.
+  // Avoid using max_digfigs10 so as many old compilers can run the most basic lambert_w0 test?
+  // Require to get max_digits10
+  //   [ run lambert_w_basic_example.cpp  : : : [ requires cxx11_numeric_limits ] ]
+  std::cout << " lambert_w0(" << z << ") = " << w0 << std::endl; // lambert_w0(2.00000) = 0.852606
+  z = -0.2;
+  double wm1 = boost::math::lambert_wm1(z);
+  std::cout << " lambert_wm1(" << z << ") = " << wm1 << std::endl; // lambert_wm1(-0.200000) = -2.54264
+  return 0;
+} // int main()
diff --git a/src/boost/libs/math/example/lambert_w_diode.cpp b/src/boost/libs/math/example/lambert_w_diode.cpp
new file mode 100644
index 00000000..cad03b1c
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_diode.cpp
@@ -0,0 +1,165 @@
+// Copyright Paul A. Bristow 2016
+// Copyright John Z. Maddock 2016
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+/*! brief Example of using Lambert W function to compute current through a diode connected transistor with preset series resistance.
+  \details T. C. Banwell and A. Jayakumar,
+  Exact analytical solution of current flow through diode with series resistance,
+  Electron Letters, 36(4):291-2 (2000)
+  DOI:  doi.org/10.1049/el:20000301 
+
+  The current through a diode connected NPN bipolar junction transistor (BJT) 
+  type 2N2222 (See https://en.wikipedia.org/wiki/2N2222 and 
+  https://www.fairchildsemi.com/datasheets/PN/PN2222.pdf Datasheet)
+  was measured, for a voltage between 0.3 to 1 volt, see Fig 2 for a log plot,
+  showing a knee visible at about 0.6 V.
+
+  The transistor parameter isat was estimated to be 25 fA and the ideality factor = 1.0.
+  The intrinsic emitter resistance re was estimated from the rsat = 0 data to be 0.3 ohm.
+
+  The solid curves in Figure 2 are calculated using equation 5 with rsat included with re.
+
+  http://www3.imperial.ac.uk/pls/portallive/docs/1/7292572.PDF
+*/
+
+#include <boost/math/special_functions/lambert_w.hpp>
+using boost::math::lambert_w0;
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <array>
+#include <vector>
+
+/*!
+Compute thermal voltage as a function of temperature,
+about 25 mV at room temperature.
+https://en.wikipedia.org/wiki/Boltzmann_constant#Role_in_semiconductor_physics:_the_thermal_voltage
+
+\param temperature Temperature (degrees centigrade).
+*/
+const double v_thermal(double temperature)
+{
+  constexpr const double boltzmann_k = 1.38e-23; // joules/kelvin.
+  const double charge_q = 1.6021766208e-19; // Charge of an electron (columb).
+  double temp =+ 273; // Degrees C to K.
+  return boltzmann_k * temp / charge_q;
+} // v_thermal
+
+/*!
+Banwell & Jayakumar, equation 2
+*/
+double i(double isat, double vd, double vt, double nu)
+{
+  double i = isat * (exp(vd / (nu * vt)) - 1);
+  return i;
+} // 
+
+/*!
+
+Banwell & Jayakumar, Equation 4.
+i current flow = isat
+v voltage source.
+isat reverse saturation current in equation 4.
+(might implement equation 4 instead of simpler equation 5?).
+vd voltage drop = v - i* rs  (equation 1).
+vt  thermal voltage, 0.0257025 = 25 mV.
+nu junction ideality factor (default = unity), also known as the emission coefficient.
+re intrinsic emitter resistance, estimated to be 0.3 ohm from low current.
+rsat reverse saturation current
+
+\param v Voltage V to compute current I(V).
+\param vt Thermal voltage, for example 0.0257025 = 25 mV, computed from boltzmann_k * temp / charge_q; 
+\param rsat Resistance in series with the diode.
+\param re Instrinsic emitter resistance (estimated to be 0.3 ohm from the Rs = 0 data)
+\param isat Reverse saturation current (See equation 2).
+\param nu Ideality factor (default = unity).
+
+\returns I amp as function of V volt.
+
+*/
+double iv(double v, double vt, double rsat, double re, double isat, double nu = 1.)
+{ 
+  // V thermal 0.0257025 = 25 mV
+  // was double i = (nu * vt/r) * lambert_w((i0 * r) / (nu * vt)); equ 5.
+
+  rsat = rsat + re; 
+  double i = nu * vt / rsat;
+  std::cout << "nu * vt / rsat = " << i << std::endl; // 0.000103223
+
+  double x = isat * rsat / (nu * vt);
+  std::cout << "isat * rsat / (nu * vt) = " << x << std::endl;
+
+  double eterm = (v + isat * rsat) / (nu * vt);
+  std::cout << "(v + isat * rsat) / (nu * vt) = " << eterm << std::endl;
+
+  double e = exp(eterm);
+  std::cout << "exp(eterm) = " << e << std::endl;
+
+  double w0 = lambert_w0(x * e);
+  std::cout << "w0 = " << w0 << std::endl;
+  return i * w0 - isat;
+
+} // double iv
+
+std::array<double, 5> rss = {0., 2.18, 10., 51., 249};  // series resistance (ohm).
+std::array<double, 8> vds = { 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9 };  // Diode voltage.
+
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W diode current example." << std::endl;
+
+    //[lambert_w_diode_example_1
+    double x = 0.01;
+    //std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.00990147
+
+    double nu = 1.0;                  // Assumed ideal.
+    double vt = v_thermal(25);        // v thermal, Shockley equation, expect about 25 mV at room temperature.
+    double boltzmann_k = 1.38e-23;    // joules/kelvin
+    double temp = 273 + 25;
+    double charge_q = 1.6e-19;        // column
+    vt = boltzmann_k * temp / charge_q;
+    std::cout << "V thermal " 
+       << vt << std::endl;            // V thermal 0.0257025 = 25 mV
+    double rsat = 0.;
+    double isat = 25.e-15;            //  25 fA;
+    std::cout << "Isat = " << isat << std::endl;
+
+    double re = 0.3;  // Estimated from slope of straight section of graph (equation 6).
+
+    double v = 0.9;
+    double icalc = iv(v, vt, 249., re, isat);
+
+    std::cout << "voltage = " << v << ", current = " << icalc << ", " << log(icalc) << std::endl; // voltage = 0.9, current = 0.00108485, -6.82631
+ //] [/lambert_w_diode_example_1]
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}  // int main()
+
+/*
+   Output:
+//[lambert_w_output_1
+   Lambert W diode current example.
+   V thermal 0.0257025
+   Isat = 2.5e-14
+   nu * vt / rsat = 0.000103099
+   isat * rsat / (nu * vt) = 2.42486e-10
+   (v + isat * rsat) / (nu * vt) = 35.016
+   exp(eterm) = 1.61167e+15
+   w0 = 10.5225
+   voltage = 0.9, current = 0.00108485, -6.82631
+
+//] [/lambert_w_output_1]
+*/
+
diff --git a/src/boost/libs/math/example/lambert_w_diode_graph.cpp b/src/boost/libs/math/example/lambert_w_diode_graph.cpp
new file mode 100644
index 00000000..76b4159c
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_diode_graph.cpp
@@ -0,0 +1,280 @@
+// Copyright Paul A. Bristow 2016
+// Copyright John Z. Maddock 2016
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+/*! \brief Graph showing use of Lambert W function to compute current
+through a diode-connected transistor with preset series resistance.
+
+\details T. C. Banwell and A. Jayakumar,
+Exact analytical solution of current flow through diode with series resistance,
+Electron Letters, 36(4):291-2 (2000).
+DOI:  doi.org/10.1049/el:20000301
+
+The current through a diode connected NPN bipolar junction transistor (BJT)
+type 2N2222 (See https://en.wikipedia.org/wiki/2N2222 and
+https://www.fairchildsemi.com/datasheets/PN/PN2222.pdf Datasheet)
+was measured, for a voltage between 0.3 to 1 volt, see Fig 2 for a log plot, showing a knee visible at about 0.6 V.
+
+The transistor parameter I sat was estimated to be 25 fA and the ideality factor = 1.0.
+The intrinsic emitter resistance re was estimated from the rsat = 0 data to be 0.3 ohm.
+
+The solid curves in Figure 2 are calculated using equation 5 with rsat included with re.
+
+http://www3.imperial.ac.uk/pls/portallive/docs/1/7292572.PDF
+
+*/
+
+#include <boost/math/special_functions/lambert_w.hpp>
+using boost::math::lambert_w0;
+#include <boost/math/special_functions.hpp>
+using boost::math::isfinite;
+#include <boost/svg_plot/svg_2d_plot.hpp>
+using namespace boost::svg;
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <array>
+#include <vector>
+#include <utility>
+using std::pair;
+#include <map>
+using std::map;
+#include <set>
+using std::multiset;
+#include <limits>
+using std::numeric_limits;
+#include <cmath> //
+
+/*!
+Compute thermal voltage as a function of temperature,
+about 25 mV at room temperature.
+https://en.wikipedia.org/wiki/Boltzmann_constant#Role_in_semiconductor_physics:_the_thermal_voltage
+
+\param temperature Temperature (degrees Celsius).
+*/
+const double v_thermal(double temperature)
+{
+  BOOST_CONSTEXPR const double boltzmann_k = 1.38e-23; // joules/kelvin.
+  BOOST_CONSTEXPR double charge_q = 1.6021766208e-19; // Charge of an electron (columb).
+  double temp = +273; // Degrees C to K.
+  return boltzmann_k * temp / charge_q;
+} // v_thermal
+
+  /*!
+  Banwell & Jayakumar, equation 2, page 291.
+  */
+double i(double isat, double vd, double vt, double nu)
+{
+  double i = isat * (exp(vd / (nu * vt)) - 1);
+  return i;
+} //
+
+  /*!
+  Banwell & Jayakumar, Equation 4, page 291.
+  i current flow = isat
+  v voltage source.
+  isat reverse saturation current in equation 4.
+  (might implement equation 4 instead of simpler equation 5?).
+  vd voltage drop = v - i* rs  (equation 1).
+  vt  thermal voltage, 0.0257025 = 25 mV.
+  nu junction ideality factor (default = unity), also known as the emission coefficient.
+  re intrinsic emitter resistance, estimated to be 0.3 ohm from low current.
+  rsat reverse saturation current
+
+  \param v Voltage V to compute current I(V).
+  \param vt Thermal voltage, for example 0.0257025 = 25 mV, computed from boltzmann_k * temp / charge_q;
+  \param rsat Resistance in series with the diode.
+  \param re Instrinsic emitter resistance (estimated to be 0.3 ohm from the Rs = 0 data)
+  \param isat Reverse saturation current (See equation 2).
+  \param nu Ideality factor (default = unity).
+
+  \returns I amp as function of V volt.
+  */
+
+//[lambert_w_diode_graph_2
+double iv(double v, double vt, double rsat, double re, double isat, double nu = 1.)
+{
+  // V thermal 0.0257025 = 25 mV
+  // was double i = (nu * vt/r) * lambert_w((i0 * r) / (nu * vt)); equ 5.
+
+  rsat = rsat + re;
+  double i = nu * vt / rsat;
+ // std::cout << "nu * vt / rsat = " << i << std::endl; // 0.000103223
+
+  double x = isat * rsat / (nu * vt);
+//  std::cout << "isat * rsat / (nu * vt) = " << x << std::endl;
+
+  double eterm = (v + isat * rsat) / (nu * vt);
+ // std::cout << "(v + isat * rsat) / (nu * vt) = " << eterm << std::endl;
+
+  double e = exp(eterm);
+//  std::cout << "exp(eterm) = " << e << std::endl;
+
+  double w0 = lambert_w0(x * e);
+//  std::cout << "w0 = " << w0 << std::endl;
+  return i * w0 - isat;
+} // double iv
+
+//] [\lambert_w_diode_graph_2]
+
+
+std::array<double, 5> rss = { 0., 2.18, 10., 51., 249 };  // series resistance (ohm).
+std::array<double, 7> vds = { 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9 };  // Diode voltage.
+std::array<double, 7> lni = { -19.65, -15.75, -11.86, -7.97, -4.08, -0.0195, 3.6 }; // ln(current).
+
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W diode current example." << std::endl;
+
+//[lambert_w_diode_graph_1
+    double nu = 1.0; // Assumed ideal.
+    double vt = v_thermal(25); // v thermal, Shockley equation, expect about 25 mV at room temperature.
+    double boltzmann_k = 1.38e-23; // joules/kelvin
+    double temp = 273 + 25;
+    double charge_q = 1.6e-19; // column
+    vt = boltzmann_k * temp / charge_q;
+    std::cout << "V thermal " << vt << std::endl; // V thermal 0.0257025 = 25 mV
+    double rsat = 0.;
+    double isat = 25.e-15; //  25 fA;
+    std::cout << "Isat = " << isat << std::endl;
+    double re = 0.3;  // Estimated from slope of straight section of graph (equation 6).
+    double v = 0.9;
+    double icalc = iv(v, vt, 249., re, isat);
+    std::cout << "voltage = " << v << ", current = " << icalc << ", " << log(icalc) << std::endl; // voltage = 0.9, current = 0.00108485, -6.82631
+//] [/lambert_w_diode_graph_1]
+
+    // Plot a few measured data points.
+    std::map<const double, double> zero_data;  // Extrapolated from slope of measurements with no external resistor.
+    zero_data[0.3] = -19.65;
+    zero_data[0.4] = -15.75;
+    zero_data[0.5] = -11.86;
+    zero_data[0.6] = -7.97;
+    zero_data[0.7] = -4.08;
+    zero_data[0.8] = -0.0195;
+    zero_data[0.9] =  3.9;
+
+    std::map<const double, double>  measured_zero_data; // No external series resistor.
+    measured_zero_data[0.3] = -19.65;
+    measured_zero_data[0.4] = -15.75;
+    measured_zero_data[0.5] = -11.86;
+    measured_zero_data[0.6] = -7.97;
+    measured_zero_data[0.7] = -4.2;
+    measured_zero_data[0.72] = -3.5;
+    measured_zero_data[0.74] = -2.8;
+    measured_zero_data[0.76] = -2.3;
+    measured_zero_data[0.78] = -2.0;
+    // Measured from Fig 2 as raw data not available.
+
+    double step = 0.1;
+    for (int i = 0; i < vds.size(); i++)
+    {
+      zero_data[vds[i]] = lni[i];
+      std::cout << lni[i] << "  " << vds[i] << std::endl;
+    }
+    step = 0.01;
+
+    std::map<const double, double> data_2;
+    for (double v = 0.3; v < 1.; v += step)
+    {
+      double current = iv(v, vt, 2., re, isat);
+      data_2[v] = log(current);
+      // std::cout << "v " << v << ", current = " << current << " log current = " << log(current) << std::endl;
+    }
+    std::map<const double, double> data_10;
+    for (double v = 0.3; v < 1.; v += step)
+    {
+      double current = iv(v, vt, 10., re, isat);
+      data_10[v] = log(current);
+    //  std::cout << "v " << v << ", current = " << current << " log current = " << log(current) << std::endl;
+    }
+    std::map<const double, double> data_51;
+    for (double v = 0.3; v < 1.; v += step)
+    {
+      double current = iv(v, vt, 51., re, isat);
+      data_51[v] = log(current);
+     // std::cout << "v " << v << ", current = " << current << " log current = " << log(current) << std::endl;
+    }
+    std::map<const double, double> data_249;
+    for (double v = 0.3; v < 1.; v += step)
+    {
+      double current = iv(v, vt, 249., re, isat);
+      data_249[v] = log(current);
+      // std::cout << "v " << v << ", current = " << current << " log current = " << log(current) << std::endl;
+    }
+
+    svg_2d_plot data_plot;
+
+    data_plot.title("Diode current versus voltage")
+      .x_size(400)
+      .y_size(300)
+      .legend_on(true)
+      .legend_lines(true)
+      .x_label("voltage (V)")
+      .y_label("log(current) (A)")
+      //.x_label_on(true)
+      //.y_label_on(true)
+      //.xy_values_on(false)
+      .x_range(0.25, 1.)
+      .y_range(-20., +4.)
+      .x_major_interval(0.1)
+      .y_major_interval(4)
+      .x_major_grid_on(true)
+      .y_major_grid_on(true)
+      //.x_values_on(true)
+      //.y_values_on(true)
+      .y_values_rotation(horizontal)
+      //.plot_window_on(true)
+      .x_values_precision(3)
+      .y_values_precision(3)
+      .coord_precision(4) // Needed to avoid stepping on curves.
+      .copyright_holder("Paul A. Bristow")
+      .copyright_date("2016")
+      //.background_border_color(black);
+      ;
+
+    // &#x2080; = subscript zero.
+    data_plot.plot(zero_data, "I&#x2080;(V)").fill_color(lightgray).shape(none).size(3).line_on(true).line_width(0.5);
+    data_plot.plot(measured_zero_data, "Rs=0 &#x3A9;").fill_color(lightgray).shape(square).size(3).line_on(true).line_width(0.5);
+    data_plot.plot(data_2, "Rs=2 &#x3A9;").line_color(blue).shape(none).line_on(true).bezier_on(false).line_width(1);
+    data_plot.plot(data_10, "Rs=10 &#x3A9;").line_color(purple).shape(none).line_on(true).bezier_on(false).line_width(1);
+    data_plot.plot(data_51, "Rs=51 &#x3A9;").line_color(green).shape(none).line_on(true).line_width(1);
+    data_plot.plot(data_249, "Rs=249 &#x3A9;").line_color(red).shape(none).line_on(true).line_width(1);
+    data_plot.write("./diode_iv_plot");
+
+    // bezier_on(true);
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+
+
+}  // int main()
+
+   /*
+
+   //[lambert_w_output_1
+   Output:
+   Lambert W diode current example.
+   V thermal 0.0257025
+   Isat = 2.5e-14
+   voltage = 0.9, current = 0.00108485, -6.82631
+   -19.65  0.3
+   -15.75  0.4
+   -11.86  0.5
+   -7.97  0.6
+   -4.08  0.7
+   -0.0195  0.8
+   3.6  0.9
+
+   //] [/lambert_w_output_1]
+   */
diff --git a/src/boost/libs/math/example/lambert_w_example.cpp b/src/boost/libs/math/example/lambert_w_example.cpp
new file mode 100644
index 00000000..28dbdf8a
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_example.cpp
@@ -0,0 +1,239 @@
+// Copyright Paul A. Bristow 2016.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+// Test that can build and run a simple example of Lambert W function,
+// using algorithm of Thomas Luu.
+// https://svn.boost.org/trac/boost/ticket/11027
+
+#include <boost/config.hpp> // for BOOST_PLATFORM, BOOST_COMPILER,  BOOST_STDLIB ...
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+#include <boost/cstdint.hpp>
+#include <boost/exception/exception.hpp>  // boost::exception
+#include <boost/math/constants/constants.hpp> // For exp_minus_one == 3.67879441171442321595523770161460867e-01.
+
+#define BOOST_MATH_INSTRUMENT_LAMBERT_W  // #define only for diagnostic output.
+
+// For lambert_w function.
+#include <boost/math/special_functions/lambert_w.hpp>
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <limits>  // For std::numeric_limits.
+
+//! Show information about build, architecture, address model, platform, ...
+std::string show_versions()
+{
+  std::ostringstream message;
+
+  message << "Program: " << __FILE__ << "\n";
+#ifdef __TIMESTAMP__
+  message << __TIMESTAMP__;
+#endif
+  message << "\nBuildInfo:\n" "  Platform " << BOOST_PLATFORM;
+  // http://stackoverflow.com/questions/1505582/determining-32-vs-64-bit-in-c
+#if defined(__LP64__) || defined(_WIN64) || (defined(__x86_64__) && !defined(__ILP32__) ) || defined(_M_X64) || defined(__ia64) || defined (_M_IA64) || defined(__aarch64__) || defined(__powerpc64__)
+#define IS64BIT 1
+  message << ", 64-bit.";
+#else
+#define IS32BIT 1
+  message << ", 32-bit.";
+#endif
+
+  message << "\n  Compiler " BOOST_COMPILER;
+#ifdef BOOST_MSC_VER
+#ifdef _MSC_FULL_VER
+  message << "\n  MSVC version " << BOOST_STRINGIZE(_MSC_FULL_VER) << ".";
+#endif
+#ifdef __WIN64
+  mess age << "\n WIN64" << std::endl;
+#endif // __WIN64
+#ifdef _WIN32
+  message << "\n WIN32" << std::endl;
+#endif  // __WIN32
+#endif
+#ifdef __GNUC__
+  //PRINT_MACRO(__GNUC__);
+  //PRINT_MACRO(__GNUC_MINOR__);
+  //PRINT_MACRO(__GNUC_PATCH__);
+  std::cout << "GCC " << __VERSION__ << std::endl;
+  //PRINT_MACRO(LONG_MAX);
+#endif // __GNUC__
+
+  message << "\n  STL " << BOOST_STDLIB;
+
+  message << "\n  Boost version " << BOOST_VERSION / 100000 << "." << BOOST_VERSION / 100 % 1000 << "." << BOOST_VERSION % 100;
+
+#ifdef BOOST_HAS_FLOAT128
+  message << ",  BOOST_HAS_FLOAT128" << std::endl;
+#endif
+  message << std::endl;
+  return message.str();
+} // std::string versions()
+
+int main()
+{
+  try
+  {
+    //std::cout << "Lambert W example basic!" << std::endl;
+    //std::cout << show_versions() << std::endl;
+
+    //std::cout << exp(1) << std::endl; // 2.71828
+    //std::cout << exp(-1) << std::endl; // 0.367879
+    //std::cout << std::numeric_limits<double>::epsilon() / 2 << std::endl; // 1.11022e-16
+
+    using namespace boost::math;
+    using boost::math::constants::exp_minus_one;
+    double x = 1.;
+
+    double W1 = lambert_w(1.);
+    // Note, NOT integer X, for example: lambert_w(1); or will get message like
+    // error C2338: Must be floating-point, not integer type, for example W(1.), not W(1)!
+    //
+
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.567143
+    // This 'golden ratio' for exponentials is http://mathworld.wolfram.com/OmegaConstant.html
+    // since exp[-W(1)] = W(1)
+    // A030178    Decimal expansion of LambertW(1): the solution to x*exp(x)
+    // = 0.5671432904097838729999686622103555497538157871865125081351310792230457930866
+      // http://oeis.org/A030178
+
+    double expplogone = exp(-lambert_w(1.));
+    if (expplogone != W1)
+    {
+      std::cout << expplogone << " " << W1 << std::endl; //
+    }
+
+
+//[lambert_w_example_1
+
+    x = 0.01;
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.00990147
+//] [/lambert_w_example_1]
+    x = -0.01;
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // -0.0101015
+    x = -0.1;
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; //
+    /**/
+
+    for (double xd = 1.; xd < 1e20; xd *= 10)
+    {
+
+      // 1.  0.56714329040978387
+      //     0.56714329040978384
+
+      // 10 1.7455280027406994
+      //    1.7455280027406994
+
+      // 100 3.3856301402900502
+      //     3.3856301402900502
+      // 1000 5.2496028524015959
+      //      5.249602852401596227126056319697306282521472386059592844451465483991362228320942832739693150854347718
+
+      // 1e19 40.058769161984308
+      //      40.05876916198431163898797971203180915622644925765346546858291325452428038208071849105889199253335063
+      std::cout << "Lambert W (" << xd << ") = " << lambert_w(xd) << std::endl; //
+   }
+    //
+    // Test near singularity.
+
+  // http://www.wolframalpha.com/input/?i=N%5Blambert_w%5B-0.367879%5D,17%5D test value N[lambert_w[-0.367879],17]
+  //  -0.367879441171442321595523770161460867445811131031767834
+    x = -0.367879; // < -exp(1) = -0.367879
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // Lambert W (-0.36787900000000001) = -0.99845210378080340
+    //  -0.99845210378080340
+    //  -0.99845210378072726  N[lambert_w[-0.367879],17] wolfram  so very close.
+
+    x = -0.3678794; // expect -0.99952696660756813
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    x = -0.36787944; // expect -0.99992019848408340
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    x = -0.367879441; // -0.99996947070054883
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    x = -0.36787944117; // -0.99999719977527159
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    x = -0.367879441171; // -0.99999844928821992
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+
+    x = -exp_minus_one<double>() + std::numeric_limits<double>::epsilon();
+    //  Lambert W (-0.36787944117144211)       = -0.99999996349975895
+    // N[lambert_w[-0.36787944117144211],17] == -0.99999996608315303
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    std::cout << " 1 - sqrt(eps) = " << static_cast<double>(1) - sqrt(std::numeric_limits<double>::epsilon()) << std::endl;
+    x = -exp_minus_one<double>();
+    // N[lambert_w[-0.36787944117144233],17] == -1.000000000000000 + 6.7595465843924897*10^-9i
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // 0.0
+    // At Singularity - 0.36787944117144233 == -0.36787944117144233 returned - 1.0000000000000000
+    // Lambert W(-0.36787944117144233) = -1.0000000000000000
+
+
+    x = (std::numeric_limits<double>::max)()/4;
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; // OK  702.023799146706
+    x = (std::numeric_limits<double>::max)()/2;
+   std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; //
+    x = (std::numeric_limits<double>::max)();
+    std::cout << "Lambert W (" << x << ") = " << lambert_w(x) << std::endl; //
+    // Error in function boost::math::log1p<double>(double): numeric overflow
+    /* */
+
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+
+
+}  // int main()
+
+   /*
+
+//[lambert_w_output_1
+   Output:
+
+  1>  example_basic.cpp
+1>  Generating code
+1>  All 237 functions were compiled because no usable IPDB/IOBJ from previous compilation was found.
+1>  Finished generating code
+1>  LambertW.vcxproj -> J:\Cpp\Misc\x64\Release\LambertW.exe
+1>  LambertW.vcxproj -> J:\Cpp\Misc\x64\Release\LambertW.pdb (Full PDB)
+1>  Lambert W example basic!
+1>  Platform: Win32
+1>  Compiler: Microsoft Visual C++ version 14.0
+1>  STL     : Dinkumware standard library version 650
+1>  Boost   : 1.63.0
+1>  _MSC_FULL_VER = 190024123
+1>  Win32
+1>  x64
+1>   (x64)
+1>  Iteration #0, w0 0.577547206058041, w1 = 0.567143616915443, difference = 0.0289944962755619, relative 0.018343835374856
+1>  Iteration #1, w0 0.567143616915443, w1 = 0.567143290409784, difference = 9.02208135089566e-07, relative 5.75702234328901e-07
+1>  Final 0.567143290409784 after 2 iterations, difference = 0
+1>  Iteration #0, w0 0.577547206058041, w1 = 0.567143616915443, difference = 0.0289944962755619, relative 0.018343835374856
+1>  Iteration #1, w0 0.567143616915443, w1 = 0.567143290409784, difference = 9.02208135089566e-07, relative 5.75702234328901e-07
+1>  Final 0.567143290409784 after 2 iterations, difference = 0
+1>  Lambert W (1) = 0.567143290409784
+1>  Iteration #0, w0 0.577547206058041, w1 = 0.567143616915443, difference = 0.0289944962755619, relative 0.018343835374856
+1>  Iteration #1, w0 0.567143616915443, w1 = 0.567143290409784, difference = 9.02208135089566e-07, relative 5.75702234328901e-07
+1>  Final 0.567143290409784 after 2 iterations, difference = 0
+1>  Iteration #0, w0 0.0099072820916067, w1 = 0.00990147384359511, difference = 5.92416060777624e-06, relative 0.000586604388734591
+1>  Final 0.00990147384359511 after 1 iterations, difference = 0
+1>  Lambert W (0.01) = 0.00990147384359511
+1>  Iteration #0, w0 -0.0101016472705154, w1 = -0.0101015271985388, difference = -1.17664437923951e-07, relative 1.18865171889748e-05
+1>  Final -0.0101015271985388 after 1 iterations, difference = 0
+1>  Lambert W (-0.01) = -0.0101015271985388
+1>  Iteration #0, w0 -0.111843322610692, w1 = -0.111832559158964, difference = -8.54817065376601e-06, relative 9.62461362694622e-05
+1>  Iteration #1, w0 -0.111832559158964, w1 = -0.111832559158963, difference = -5.68989300120393e-16, relative 6.43929354282591e-15
+1>  Final -0.111832559158963 after 2 iterations, difference = 0
+1>  Lambert W (-0.1) = -0.111832559158963
+1>  Iteration #0, w0 -0.998452103785573, w1 = -0.998452103780803, difference = -2.72004641033163e-15, relative 4.77662354114727e-12
+1>  Final -0.998452103780803 after 1 iterations, difference = 0
+1>  Lambert W (-0.367879) = -0.998452103780803
+
+//] [/lambert_w_output_1]
+   */
diff --git a/src/boost/libs/math/example/lambert_w_graph.cpp b/src/boost/libs/math/example/lambert_w_graph.cpp
new file mode 100644
index 00000000..3eb43f75
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_graph.cpp
@@ -0,0 +1,286 @@
+// Copyright Paul A. Bristow 2017
+// Copyright John Z. Maddock 2017
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+/*! \brief Graph showing use of Lambert W function.
+
+\details
+
+Both Lambert W0 and W-1 branches can be shown on one graph.
+But useful to have another graph for larger values of argument z.
+Need two separate graphs for Lambert W0 and -1 prime because
+the sensible ranges and axes are too different.  
+
+One would get too small LambertW0 in top right and W-1 in bottom left.
+
+*/
+
+#include <boost/math/special_functions/lambert_w.hpp>
+using boost::math::lambert_w0;
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0_prime;
+using boost::math::lambert_wm1_prime;
+
+#include <boost/math/special_functions.hpp>
+using boost::math::isfinite;
+#include <boost/svg_plot/svg_2d_plot.hpp>
+using namespace boost::svg;
+#include <boost/svg_plot/show_2d_settings.hpp>
+using boost::svg::show_2d_plot_settings;
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <array>
+#include <vector>
+#include <utility>
+using std::pair;
+#include <map>
+using std::map;
+#include <set>
+using std::multiset;
+#include <limits>
+using std::numeric_limits;
+#include <cmath> //
+
+  /*!
+  */
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W graph example." << std::endl;
+
+//[lambert_w_graph_1
+//] [/lambert_w_graph_1]
+    {
+      std::map<const double, double> wm1s;   // Lambert W-1 branch values.
+      std::map<const double, double> w0s;   // Lambert W0 branch values.
+
+      std::cout.precision(std::numeric_limits<double>::max_digits10);
+
+      int count = 0;
+      for (double z = -0.36787944117144232159552377016146086744581113103176804; z < 2.8; z += 0.001)
+      {
+        double w0 = lambert_w0(z);
+        w0s[z] = w0;
+   //     std::cout << "z " << z << ", w = " << w0 << std::endl;
+        count++;
+      }
+      std::cout << "points " << count << std::endl;
+
+      count = 0;
+      for (double z = -0.3678794411714423215955237701614608727; z < -0.001; z += 0.001)
+      {
+        double wm1 = lambert_wm1(z);
+        wm1s[z] = wm1;
+        count++;
+      }
+      std::cout << "points " << count << std::endl;
+
+      svg_2d_plot data_plot;
+      data_plot.title("Lambert W function.")
+        .x_size(400)
+        .y_size(300)
+        .legend_on(true)
+        .legend_lines(true)
+        .x_label("z")
+        .y_label("W")
+        .x_range(-1, 3.)
+        .y_range(-4., +1.)
+        .x_major_interval(1.)
+        .y_major_interval(1.)
+        .x_major_grid_on(true)
+        .y_major_grid_on(true)
+        //.x_values_on(true)
+        //.y_values_on(true)
+        .y_values_rotation(horizontal)
+        //.plot_window_on(true)
+        .x_values_precision(3)
+        .y_values_precision(3)
+        .coord_precision(4) // Needed to avoid stepping on curves.
+        .copyright_holder("Paul A. Bristow")
+        .copyright_date("2018")
+        //.background_border_color(black);
+        ;
+      data_plot.plot(w0s, "W0 branch").line_color(red).shape(none).line_on(true).bezier_on(false).line_width(1);
+      data_plot.plot(wm1s, "W-1 branch").line_color(blue).shape(none).line_on(true).bezier_on(false).line_width(1);
+      data_plot.write("./lambert_w_graph");
+
+      show_2d_plot_settings(data_plot); // For plot diagnosis only.
+
+    } // small z Lambert W
+
+    {  // bigger argument z Lambert W
+
+      std::map<const double, double> w0s_big;   // Lambert W0 branch values for large z and W.
+      std::map<const double, double> wm1s_big;   // Lambert W-1 branch values for small z and large -W.
+      int count = 0;
+      for (double z = -0.3678794411714423215955237701614608727; z < 10000.; z += 50.)
+      {
+        double w0 = lambert_w0(z);
+        w0s_big[z] = w0;
+        count++;
+      }
+      std::cout << "points " << count << std::endl;
+
+      count = 0;
+      for (double z = -0.3678794411714423215955237701614608727; z < -0.001; z += 0.001)
+      {
+        double wm1 = lambert_wm1(z);
+        wm1s_big[z] = wm1;
+        count++;
+      }
+     std::cout << "Lambert W0 large z argument points = " << count << std::endl;
+
+     svg_2d_plot data_plot2;
+     data_plot2.title("Lambert W0 function for larger z.")
+      .x_size(400)
+      .y_size(300)
+      .legend_on(false)
+      .x_label("z")
+      .y_label("W")
+      //.x_label_on(true)
+      //.y_label_on(true)
+      //.xy_values_on(false)
+      .x_range(-1, 10000.)
+      .y_range(-1., +8.)
+      .x_major_interval(2000.)
+      .y_major_interval(1.)
+      .x_major_grid_on(true)
+      .y_major_grid_on(true)
+      //.x_values_on(true)
+      //.y_values_on(true)
+      .y_values_rotation(horizontal)
+      //.plot_window_on(true)
+      .x_values_precision(3)
+      .y_values_precision(3)
+      .coord_precision(4) // Needed to avoid stepping on curves.
+      .copyright_holder("Paul A. Bristow")
+      .copyright_date("2018")
+      //.background_border_color(black);
+    ;
+
+    data_plot2.plot(w0s_big, "W0 branch").line_color(red).shape(none).line_on(true).bezier_on(false).line_width(1);
+    // data_plot2.plot(wm1s_big, "W-1 branch").line_color(blue).shape(none).line_on(true).bezier_on(false).line_width(1);
+    // This wouldn't show anything useful.
+    data_plot2.write("./lambert_w_graph_big_w");
+   } // Big argument z Lambert W
+
+    { //  Lambert W0 Derivative plots
+
+    //  std::map<const double, double> wm1ps;   // Lambert W-1 prime branch values.
+      std::map<const double, double> w0ps;   // Lambert W0 prime branch values.
+
+      std::cout.precision(std::numeric_limits<double>::max_digits10);
+
+      int count = 0;
+      for (double z = -0.36; z < 3.; z += 0.001)
+      {
+        double w0p = lambert_w0_prime(z);
+        w0ps[z] = w0p;
+        // std::cout << "z " << z << ", w0 = " << w0 << std::endl;
+        count++;
+      }
+      std::cout << "points " << count << std::endl;
+
+      //count = 0;
+      //for (double z = -0.36; z < -0.1; z += 0.001)
+      //{
+      //  double wm1p = lambert_wm1_prime(z);
+      //  std::cout << "z " << z << ", w-1 = " << wm1p << std::endl;
+      //  wm1ps[z] = wm1p;
+      //  count++;
+      //}
+      //std::cout << "points " << count << std::endl;
+
+      svg_2d_plot data_plotp;
+      data_plotp.title("Lambert W0 prime function.")
+        .x_size(400)
+        .y_size(300)
+        .legend_on(false)
+        .x_label("z")
+        .y_label("W0'")
+        .x_range(-0.3, +1.)
+        .y_range(0., +5.)
+        .x_major_interval(0.2)
+        .y_major_interval(2.)
+        .x_major_grid_on(true)
+        .y_major_grid_on(true)
+        .y_values_rotation(horizontal)
+        .x_values_precision(3)
+        .y_values_precision(3)
+        .coord_precision(4) // Needed to avoid stepping on curves.
+        .copyright_holder("Paul A. Bristow")
+        .copyright_date("2018")
+        ;
+
+      // derivative of N[productlog(0, x), 55]  at x=0 to 10
+      // Plot[D[N[ProductLog[0, x], 55], x], {x, 0, 10}]
+      // Plot[ProductLog[x]/(x + x ProductLog[x]), {x, 0, 10}]
+      data_plotp.plot(w0ps, "W0 prime branch").line_color(red).shape(none).line_on(true).bezier_on(false).line_width(1);
+      data_plotp.write("./lambert_w0_prime_graph");
+  } // Lambert W0 Derivative plots
+
+    { //  Lambert Wm1 Derivative plots
+
+    std::map<const double, double> wm1ps;   // Lambert W-1 prime branch values.
+
+    std::cout.precision(std::numeric_limits<double>::max_digits10);
+
+    int count = 0;
+    for (double z = -0.3678; z < -0.00001; z += 0.001)
+    {
+      double wm1p = lambert_wm1_prime(z);
+      // std::cout << "z " << z << ", w-1 = " << wm1p << std::endl;
+      wm1ps[z] = wm1p;
+      count++;
+    }
+    std::cout << "Lambert W-1 prime points = " << count << std::endl;
+
+    svg_2d_plot data_plotp;
+    data_plotp.title("Lambert W-1 prime function.")
+      .x_size(400)
+      .y_size(300)
+      .legend_on(false)
+      .x_label("z")
+      .y_label("W-1'")
+      .x_range(-0.4, +0.01)
+      .x_major_interval(0.1)
+      .y_range(-20., -5.)
+      .y_major_interval(5.)
+      .x_major_grid_on(true)
+      .y_major_grid_on(true)
+      .y_values_rotation(horizontal)
+      .x_values_precision(3)
+      .y_values_precision(3)
+      .coord_precision(4) // Needed to avoid stepping on curves.
+      .copyright_holder("Paul A. Bristow")
+      .copyright_date("2018")
+      ;
+
+      // derivative of N[productlog(0, x), 55]  at x=0 to 10
+      // Plot[D[N[ProductLog[0, x], 55], x], {x, 0, 10}]
+      // Plot[ProductLog[x]/(x + x ProductLog[x]), {x, 0, 10}]
+      data_plotp.plot(wm1ps, "W-1 prime branch").line_color(blue).shape(none).line_on(true).bezier_on(false).line_width(1);
+      data_plotp.write("./lambert_wm1_prime_graph");
+    } // Lambert W-1 prime graph
+ } // try
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}  // int main()
+
+   /*
+
+   //[lambert_w_graph_1_output
+
+   //] [/lambert_w_graph_1_output]
+   */
diff --git a/src/boost/libs/math/example/lambert_w_precision_example.cpp b/src/boost/libs/math/example/lambert_w_precision_example.cpp
new file mode 100644
index 00000000..be4791bc
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_precision_example.cpp
@@ -0,0 +1,264 @@
+// Copyright Paul A. Bristow 2016, 2018.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+//! Lambert W examples of controlling precision
+
+// #define BOOST_MATH_INSTRUMENT_LAMBERT_W  // #define only for (much) diagnostic output.
+
+#include <boost/config.hpp> // for BOOST_PLATFORM, BOOST_COMPILER,  BOOST_STDLIB ...
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+#include <boost/cstdint.hpp>
+#include <boost/exception/exception.hpp>  // boost::exception
+#include <boost/math/constants/constants.hpp> // For exp_minus_one == 3.67879441171442321595523770161460867e-01.
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/special_functions/next.hpp>  // for float_distance.
+#include <boost/math/special_functions/relative_difference.hpp> // for relative and epsilon difference.
+
+// Built-in/fundamental GCC float128 or Intel Quad 128-bit type, if available.
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp> // Not available for MSVC.
+// sets BOOST_MP_USE_FLOAT128 for GCC
+using boost::multiprecision::float128;
+#endif //# NOT _MSC_VER
+
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50; // 50 decimal digits type.
+using boost::multiprecision::cpp_dec_float_100; // 100 decimal digits type.
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_double_extended;
+using boost::multiprecision::cpp_bin_float_double;
+using boost::multiprecision::cpp_bin_float_quad;
+// For lambert_w function.
+#include <boost/math/special_functions/lambert_w.hpp>
+// using boost::math::lambert_w0;
+// using boost::math::lambert_wm1;
+
+#include <iostream>
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <limits>  // For std::numeric_limits.
+
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W examples of precision control." << std::endl;
+    std::cout.precision(std::numeric_limits<double>::max_digits10);
+    std::cout << std::showpoint << std::endl; // Show any trailing zeros.
+
+    using boost::math::constants::exp_minus_one;
+
+    using boost::math::lambert_w0;
+    using boost::math::lambert_wm1;
+
+    // Error handling policy examples.
+    using namespace boost::math::policies;
+    using boost::math::policies::make_policy;
+    using boost::math::policies::policy;
+    using boost::math::policies::evaluation_error;
+    using boost::math::policies::domain_error;
+    using boost::math::policies::overflow_error;
+    using boost::math::policies::domain_error;
+    using boost::math::policies::throw_on_error;
+
+//[lambert_w_precision_reference_w
+
+    using boost::multiprecision::cpp_bin_float_50;
+    using boost::math::float_distance;
+
+    cpp_bin_float_50 z("10."); // Note use a decimal digit string, not a double 10.
+    cpp_bin_float_50 r;
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10);
+
+    r = lambert_w0(z); // Default policy.
+    std::cout << "lambert_w0(z) cpp_bin_float_50  = " << r << std::endl;
+    //lambert_w0(z) cpp_bin_float_50  = 1.7455280027406993830743012648753899115352881290809
+    //       [N[productlog[10], 50]] == 1.7455280027406993830743012648753899115352881290809
+    std::cout.precision(std::numeric_limits<double>::max_digits10);
+    std::cout << "lambert_w0(z) static_cast from cpp_bin_float_50  = "
+      << static_cast<double>(r) << std::endl;
+    // double lambert_w0(z) static_cast from cpp_bin_float_50  = 1.7455280027406994
+    // [N[productlog[10], 17]]                                == 1.7455280027406994
+   std::cout << "bits different from Wolfram = "
+     << static_cast<int>(float_distance(static_cast<double>(r), 1.7455280027406994))
+     << std::endl; // 0
+
+
+//] [/lambert_w_precision_reference_w]
+
+//[lambert_w_precision_0
+    std::cout.precision(std::numeric_limits<float>::max_digits10); // Show all potentially significant decimal digits,
+    std::cout << std::showpoint << std::endl; // and show any significant trailing zeros too.
+
+    float x = 10.;
+    std::cout << "Lambert W (" << x << ") = " << lambert_w0(x) << std::endl;
+//] [/lambert_w_precision_0]
+
+/*
+//[lambert_w_precision_output_0
+Lambert W (10.0000000) = 1.74552800
+//] [/lambert_w_precision_output_0]
+*/
+  { // Lambert W0 Halley step example
+//[lambert_w_precision_1
+    using boost::math::lambert_w_detail::lambert_w_halley_step;
+    using boost::math::epsilon_difference;
+    using boost::math::relative_difference;
+
+    std::cout << std::showpoint << std::endl; // and show any significant trailing zeros too.
+    std::cout.precision(std::numeric_limits<double>::max_digits10); // 17 decimal digits for double.
+
+    cpp_bin_float_50 z50("1.23"); // Note: use a decimal digit string, not a double 1.23!
+    double z = static_cast<double>(z50);
+    cpp_bin_float_50 w50;
+    w50 = lambert_w0(z50);
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::max_digits10); // 50 decimal digits.
+    std::cout << "Reference Lambert W (" << z << ") =\n                                              "
+      << w50 << std::endl;
+    std::cout.precision(std::numeric_limits<double>::max_digits10); // 17 decimal digits for double.
+    double wr = static_cast<double>(w50);
+    std::cout << "Reference Lambert W (" << z << ") =    " << wr << std::endl;
+
+    double w = lambert_w0(z);
+    std::cout << "Rat/poly Lambert W  (" << z << ")  =   " << lambert_w0(z) << std::endl;
+    // Add a Halley step to the value obtained from rational polynomial approximation.
+    double ww = lambert_w_halley_step(lambert_w0(z), z);
+    std::cout << "Halley Step Lambert W (" << z << ") =  " << lambert_w_halley_step(lambert_w0(z), z) << std::endl;
+
+    std::cout << "absolute difference from Halley step = " << w - ww << std::endl;
+    std::cout << "relative difference from Halley step = " << relative_difference(w, ww) << std::endl;
+    std::cout << "epsilon difference from Halley step  = " << epsilon_difference(w, ww) << std::endl;
+    std::cout << "epsilon for float =                    " << std::numeric_limits<double>::epsilon() << std::endl;
+    std::cout << "bits different from Halley step  =     " << static_cast<int>(float_distance(w, ww)) << std::endl;
+//] [/lambert_w_precision_1]
+
+
+/*
+//[lambert_w_precision_output_1
+  Reference Lambert W (1.2299999999999999822364316059974953532218933105468750) =
+  0.64520356959320237759035605255334853830173300262666480
+  Reference Lambert W (1.2300000000000000) =    0.64520356959320235
+  Rat/poly Lambert W  (1.2300000000000000)  =   0.64520356959320224
+  Halley Step Lambert W (1.2300000000000000) =  0.64520356959320235
+  absolute difference from Halley step = -1.1102230246251565e-16
+  relative difference from Halley step = 1.7207329236029286e-16
+  epsilon difference from Halley step  = 0.77494921535422934
+  epsilon for float =                    2.2204460492503131e-16
+  bits different from Halley step  =     1
+//] [/lambert_w_precision_output_1]
+*/
+
+  } // Lambert W0 Halley step example
+
+  { // Lambert W-1 Halley step example
+    //[lambert_w_precision_2
+    using boost::math::lambert_w_detail::lambert_w_halley_step;
+    using boost::math::epsilon_difference;
+    using boost::math::relative_difference;
+
+    std::cout << std::showpoint << std::endl; // and show any significant trailing zeros too.
+    std::cout.precision(std::numeric_limits<double>::max_digits10); // 17 decimal digits for double.
+
+    cpp_bin_float_50 z50("-0.123"); // Note: use a decimal digit string, not a double -1.234!
+    double z = static_cast<double>(z50);
+    cpp_bin_float_50 wm1_50;
+    wm1_50 = lambert_wm1(z50);
+    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::max_digits10); // 50 decimal digits.
+    std::cout << "Reference Lambert W-1 (" << z << ") =\n                                                  "
+      << wm1_50 << std::endl;
+    std::cout.precision(std::numeric_limits<double>::max_digits10); // 17 decimal digits for double.
+    double wr = static_cast<double>(wm1_50);
+    std::cout << "Reference Lambert W-1 (" << z << ") =    " << wr << std::endl;
+
+    double w = lambert_wm1(z);
+    std::cout << "Rat/poly Lambert W-1 (" << z << ")  =    " << lambert_wm1(z) << std::endl;
+    // Add a Halley step to the value obtained from rational polynomial approximation.
+    double ww = lambert_w_halley_step(lambert_wm1(z), z);
+    std::cout << "Halley Step Lambert W (" << z << ") =    " << lambert_w_halley_step(lambert_wm1(z), z) << std::endl;
+
+    std::cout << "absolute difference from Halley step = " << w - ww << std::endl;
+    std::cout << "relative difference from Halley step = " << relative_difference(w, ww) << std::endl;
+    std::cout << "epsilon difference from Halley step  = " << epsilon_difference(w, ww) << std::endl;
+    std::cout << "epsilon for float =                    " << std::numeric_limits<double>::epsilon() << std::endl;
+    std::cout << "bits different from Halley step  =     " << static_cast<int>(float_distance(w, ww)) << std::endl;
+    //] [/lambert_w_precision_2]
+  }
+  /*
+  //[lambert_w_precision_output_2
+    Reference Lambert W-1 (-0.12299999999999999822364316059974953532218933105468750) =
+    -3.2849102557740360179084675531714935199110302996513384
+    Reference Lambert W-1 (-0.12300000000000000) =    -3.2849102557740362
+    Rat/poly Lambert W-1 (-0.12300000000000000)  =    -3.2849102557740357
+    Halley Step Lambert W (-0.12300000000000000) =    -3.2849102557740362
+    absolute difference from Halley step = 4.4408920985006262e-16
+    relative difference from Halley step = 1.3519066740696092e-16
+    epsilon difference from Halley step  = 0.60884463935795785
+    epsilon for float =                    2.2204460492503131e-16
+    bits different from Halley step  =     -1
+  //] [/lambert_w_precision_output_2]
+  */
+
+
+
+  // Similar example using cpp_bin_float_quad (128-bit floating-point types).
+
+  cpp_bin_float_quad zq = 10.;
+  std::cout << "\nTest evaluation of cpp_bin_float_quad Lambert W(" << zq << ")"
+    << std::endl;
+  std::cout << std::setprecision(3) << "std::numeric_limits<cpp_bin_float_quad>::digits = " << std::numeric_limits<cpp_bin_float_quad>::digits << std::endl;
+  std::cout << std::setprecision(3) << "std::numeric_limits<cpp_bin_float_quad>::epsilon() = " << std::numeric_limits<cpp_bin_float_quad>::epsilon() << std::endl;
+  std::cout << std::setprecision(3) << "std::numeric_limits<cpp_bin_float_quad>::max_digits10 = " << std::numeric_limits<cpp_bin_float_quad>::max_digits10 << std::endl;
+  std::cout << std::setprecision(3) << "std::numeric_limits<cpp_bin_float_quad>::digits10 = " << std::numeric_limits<cpp_bin_float_quad>::digits10 << std::endl;
+  std::cout.precision(std::numeric_limits<cpp_bin_float_quad>::max_digits10);
+  // All are same precision because double precision first approximation used before Halley.
+
+  /*
+
+      */
+
+  { // Reference value for lambert_w0(10)
+    cpp_dec_float_50 z("10");
+    cpp_dec_float_50 r;
+    std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+
+    r = lambert_w0(z); // Default policy.
+    std::cout << "lambert_w0(z) cpp_dec_float_50                                   = " << r << std::endl; //  0.56714329040978387299996866221035554975381578718651
+    std::cout.precision(std::numeric_limits<cpp_bin_float_quad>::max_digits10);
+
+    std::cout << "lambert_w0(z) cpp_dec_float_50 cast to quad (max_digits10(" << std::numeric_limits<cpp_bin_float_quad>::max_digits10 <<
+      " )   = " << static_cast<cpp_bin_float_quad>(r) << std::endl;         // 1.7455280027406993830743012648753899115352881290809
+    std::cout.precision(std::numeric_limits<cpp_bin_float_quad>::digits10); // 1.745528002740699383074301264875389837
+    std::cout << "lambert_w0(z) cpp_dec_float_50 cast to quad (digits10(" << std::numeric_limits<cpp_bin_float_quad>::digits10 <<
+      " )       = " << static_cast<cpp_bin_float_quad>(r) << std::endl;    // 1.74552800274069938307430126487539
+    std::cout.precision(std::numeric_limits<cpp_bin_float_quad>::digits10 + 1); //
+
+    std::cout << "lambert_w0(z) cpp_dec_float_50 cast to quad (digits10(" << std::numeric_limits<cpp_bin_float_quad>::digits10 <<
+      " )       = " << static_cast<cpp_bin_float_quad>(r) << std::endl;    // 1.74552800274069938307430126487539
+
+    // [N[productlog[10], 50]] == 1.7455280027406993830743012648753899115352881290809
+
+    // [N[productlog[10], 37]] == 1.745528002740699383074301264875389912
+    // [N[productlog[10], 34]] == 1.745528002740699383074301264875390
+    // [N[productlog[10], 33]] == 1.74552800274069938307430126487539
+
+    // lambert_w0(z) cpp_dec_float_50 cast to quad = 1.745528002740699383074301264875389837
+
+    // lambert_w0(z) cpp_dec_float_50 = 1.7455280027406993830743012648753899115352881290809
+    // lambert_w0(z) cpp_dec_float_50 cast to quad = 1.745528002740699383074301264875389837
+    // lambert_w0(z) cpp_dec_float_50 cast to quad = 1.74552800274069938307430126487539
+    }
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}  // int main()
+
+
+
+
diff --git a/src/boost/libs/math/example/lambert_w_simple_examples.cpp b/src/boost/libs/math/example/lambert_w_simple_examples.cpp
new file mode 100644
index 00000000..d7a4416e
--- /dev/null
+++ b/src/boost/libs/math/example/lambert_w_simple_examples.cpp
@@ -0,0 +1,251 @@
+// Copyright Paul A. Bristow 2016, 2017.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+// Build and run a simple examples of Lambert W function.
+
+// Some macros that will show some(or much) diagnostic values if #defined.
+//#define-able macros
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W0 // W0 branch diagnostics.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_Wm1 // W1 branch diagnostics.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W_HALLEY // Halley refinement diagnostics.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W_SCHROEDER // Schroeder refinement diagnostics.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W_TERMS // Number of terms used for near-singularity series.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W0_NOT_BUILTIN // higher than built-in precision types approximation and refinement.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W_SINGULARITY_SERIES // Show evaluation of series near branch singularity.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W_SMALL_Z_SERIES_ITERATIONS  // Show evaluation of series for small z.
+//#define BOOST_MATH_INSTRUMENT_LAMBERT_W0_LOOKUP // Show results from lookup table.
+
+#include <boost/config.hpp> // for BOOST_PLATFORM, BOOST_COMPILER,  BOOST_STDLIB ...
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+#include <boost/cstdint.hpp>
+#include <boost/exception/exception.hpp>  // boost::exception
+#include <boost/math/constants/constants.hpp> // For exp_minus_one == 3.67879441171442321595523770161460867e-01.
+#include <boost/math/policies/policy.hpp>
+
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50; // 50 decimal digits type.
+using boost::multiprecision::cpp_dec_float_100; // 100 decimal digits type.
+using boost::multiprecision::backends::cpp_dec_float;
+using boost::multiprecision::number;
+typedef number<cpp_dec_float<1000> > cpp_dec_float_1000; // 1000 decimal digit types
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_double; // == double
+using boost::multiprecision::cpp_bin_float_double_extended; // 80-bit long double emulation.
+using boost::multiprecision::cpp_bin_float_quad; // 128-bit quad precision.
+
+//[lambert_w_simple_examples_includes
+#include <boost/math/special_functions/lambert_w.hpp> // For lambert_w function.
+
+using boost::math::lambert_w0;
+using boost::math::lambert_wm1;
+//] //[/lambert_w_simple_examples_includes]
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <limits>  // For std::numeric_limits.
+
+//! Show value of z to the full possibly-significant max_digits10 precision of type T.
+template<typename T>
+void show_value(T z)
+{
+  std::streamsize precision = std::cout.precision(std::numeric_limits<T>::max_digits10);  // Save.
+  std::cout.precision(std::numeric_limits<T>::max_digits10); // Show all posssibly significant digits.
+  std::ios::fmtflags flags(std::cout.flags());
+  std::cout.setf(std::ios_base::showpoint); // Include any trailing zeros.
+  std::cout << z;
+  // Restore:
+  std::cout.precision(precision);
+  std::cout.flags(flags);
+} // template<typename T> void show_value(T z)
+
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W simple examples." << std::endl;
+
+    using boost::math::constants::exp_minus_one; //-1/e, the branch point, a singularity ~= -0.367879.
+
+    // using statements needed for changing error handling policy.
+    using boost::math::policies::policy;
+    using boost::math::policies::make_policy;
+    using boost::math::policies::evaluation_error;
+    using boost::math::policies::domain_error;
+    using boost::math::policies::overflow_error;
+    using boost::math::policies::ignore_error;
+    using boost::math::policies::throw_on_error;
+
+  {
+//[lambert_w_simple_examples_0
+    std::cout.precision(std::numeric_limits<double>::max_digits10);
+    // Show all potentially significant decimal digits,
+    std::cout << std::showpoint << std::endl;
+    // and show significant trailing zeros too.
+
+    double z = 10.;
+    double r = lambert_w0(z); // Default policy for double.
+    std::cout << "lambert_w0(z) = " << r << std::endl;
+    // lambert_w0(z) = 1.7455280027406994
+//] [/lambert_w_simple_examples_0]
+  }
+  {
+    // Other floating-point types can be used too, here float.
+    // It is convenient to use a function like `show_value`
+    // to display all potentially significant decimal digits
+    // for the type, including any significant trailing zeros.
+    //[lambert_w_simple_examples_1
+    float z = 10.F;
+    float r;
+    r = lambert_w0(z);        // Default policy digits10 = 7, digits2 = 24
+    std::cout << "lambert_w0(";
+    show_value(z);
+    std::cout << ") = ";
+    show_value(r);
+    std::cout << std::endl;   // lambert_w0(10.0000000) = 1.74552798
+   //] //[/lambert_w_simple_examples_1]
+  }
+   {
+     // Example of an integer argument to lambert_w,
+     // showing that an integer is correctly promoted to a double.
+//[lambert_w_simple_examples_2
+     std::cout.precision(std::numeric_limits<double>::max_digits10);
+     double r = lambert_w0(10);                           // Pass an int argument "10" that should be promoted to double argument.
+     std::cout << "lambert_w0(10) = " << r << std::endl;  // lambert_w0(10) = 1.7455280027406994
+     double rp = lambert_w0(10);
+     std::cout << "lambert_w0(10) = " << rp << std::endl;
+     // lambert_w0(10) = 1.7455280027406994
+     auto rr = lambert_w0(10);                            // C++11 needed.
+     std::cout << "lambert_w0(10) = " << rr << std::endl;
+     // lambert_w0(10) = 1.7455280027406994 too, showing that rr has been promoted to double.
+//] //[/lambert_w_simple_examples_2]
+   }
+   {
+     // Using multiprecision types to get much higher precision is painless.
+     //[lambert_w_simple_examples_3
+     cpp_dec_float_50 z("10");
+     // Note construction using a decimal digit string "10",
+     // NOT a floating-point double literal 10.
+     cpp_dec_float_50 r;
+     r = lambert_w0(z);
+     std::cout << "lambert_w0("; show_value(z); std::cout << ") = ";
+     show_value(r);
+     std::cout << std::endl;
+     // lambert_w0(10.000000000000000000000000000000000000000000000000000000000000000000000000000000) =
+     //   1.7455280027406993830743012648753899115352881290809413313533156980404446940000000
+     //] //[/lambert_w_simple_examples_3]
+   }
+   // Using multiprecision types to get multiprecision precision wrong!
+   {
+     //[lambert_w_simple_examples_4
+     cpp_dec_float_50 z(0.7777777777777777777777777777777777777777777777777777777777777777777777777);
+     // Compiler evaluates the nearest double-precision binary representation,
+     // from the max_digits10 of the floating_point literal double 0.7777777777777777777777777777...,
+     // so any extra digits in the multiprecision type
+     // beyond max_digits10 (usually 17) are random and meaningless.
+     cpp_dec_float_50 r;
+     r = lambert_w0(z);
+     std::cout << "lambert_w0(";
+     show_value(z);
+     std::cout << ") = "; show_value(r);
+     std::cout << std::endl;
+     // lambert_w0(0.77777777777777779011358916250173933804035186767578125000000000000000000000000000)
+     //   = 0.48086152073210493501934682309060873341910109230469724725005039758139532631901386
+     //] //[/lambert_w_simple_examples_4]
+   }
+   {
+     //[lambert_w_simple_examples_4a
+     cpp_dec_float_50 z(0.9); // Construct from floating_point literal double 0.9.
+     cpp_dec_float_50 r;
+     r = lambert_w0(0.9);
+     std::cout << "lambert_w0(";
+     show_value(z);
+     std::cout << ") = "; show_value(r);
+     std::cout << std::endl;
+     // lambert_w0(0.90000000000000002220446049250313080847263336181640625000000000000000000000000000)
+     //   = 0.52983296563343440510607251781038939952850341796875000000000000000000000000000000
+     std::cout << "lambert_w0(0.9) = " << lambert_w0(static_cast<double>(0.9))
+     // lambert_w0(0.9)
+     //   = 0.52983296563343441
+       << std::endl;
+     //] //[/lambert_w_simple_examples_4a]
+   }
+   {
+     // Using multiprecision types to get multiprecision precision right!
+     //[lambert_w_simple_examples_4b
+     cpp_dec_float_50 z("0.9");     // Construct from decimal digit string.
+     cpp_dec_float_50 r;
+     r = lambert_w0(z);
+     std::cout << "lambert_w0(";
+     show_value(z);
+     std::cout << ") = "; show_value(r);
+     std::cout << std::endl;
+     // 0.90000000000000000000000000000000000000000000000000000000000000000000000000000000)
+     // = 0.52983296563343441213336643954546304857788132269804249284012528304239956413801252
+     //] //[/lambert_w_simple_examples_4b]
+   }
+   // Getting extreme precision (1000 decimal digits) Lambert W values.
+   {
+     std::cout.precision(std::numeric_limits<cpp_dec_float_1000>::digits10);
+     cpp_dec_float_1000 z("2.0");
+     cpp_dec_float_1000 r;
+     r = lambert_w0(z);
+     std::cout << "lambert_w0(z) = " << r << std::endl;
+     // 0.8526055020137254913464724146953174668984533001514035087721073946525150656742630448965773783502494847334503972691804119834761668851953598826198984364998343940330324849743119327028383008883133161249045727544669202220292076639777316648311871183719040610274221013237163543451621208284315007250267190731048119566857455987975973474411544571619699938899354169616378479326962044241495398851839432070255805880208619490399218130868317114428351234208216131218024303904457925834743326836272959669122797896855064630871955955318383064292191644322931561534814178034773896739684452724587331245831001449498844495771266728242975586931792421997636537572767708722190588748148949667744956650966402600446780664924889043543203483210769017254907808218556111831854276511280553252641907484685164978750601216344998778097446525021666473925144772131644151718261199915247932015387685261438125313159125475113124470774926288823525823567568542843625471594347837868505309329628014463491611881381186810879712667681285740515197493390563
+     // Wolfram alpha command N[productlog[0, 2.0],1000] gives the identical result:
+     // 0.8526055020137254913464724146953174668984533001514035087721073946525150656742630448965773783502494847334503972691804119834761668851953598826198984364998343940330324849743119327028383008883133161249045727544669202220292076639777316648311871183719040610274221013237163543451621208284315007250267190731048119566857455987975973474411544571619699938899354169616378479326962044241495398851839432070255805880208619490399218130868317114428351234208216131218024303904457925834743326836272959669122797896855064630871955955318383064292191644322931561534814178034773896739684452724587331245831001449498844495771266728242975586931792421997636537572767708722190588748148949667744956650966402600446780664924889043543203483210769017254907808218556111831854276511280553252641907484685164978750601216344998778097446525021666473925144772131644151718261199915247932015387685261438125313159125475113124470774926288823525823567568542843625471594347837868505309329628014463491611881381186810879712667681285740515197493390563
+   }
+   {
+//[lambert_w_simple_examples_error_policies
+      // Define an error handling policy:
+      typedef policy<
+        domain_error<throw_on_error>,
+        overflow_error<ignore_error> // possibly unwise?
+      > my_throw_policy;
+
+      std::cout.precision(std::numeric_limits<double>::max_digits10);
+      // Show all potentially significant decimal digits,
+      std::cout << std::showpoint << std::endl;
+      // and show significant trailing zeros too.
+      double z = +1;
+      std::cout << "Lambert W (" << z << ") = " << lambert_w0(z) << std::endl;
+      // Lambert W (1.0000000000000000) = 0.56714329040978384
+      std::cout << "\nLambert W (" << z << ", my_throw_policy()) = "
+        << lambert_w0(z, my_throw_policy()) << std::endl;
+      // Lambert W (1.0000000000000000, my_throw_policy()) = 0.56714329040978384
+    //] //[/lambert_w_simple_example_error_policies]
+    }
+    {
+      // Show error reporting from passing a value to lambert_wm1 that is out of range,
+      // (and probably was meant to be passed to lambert_0 instead).
+//[lambert_w_simple_examples_out_of_range
+      double z = +1.;
+      double r = lambert_wm1(z);
+      std::cout << "lambert_wm1(+1.) = " << r << std::endl;
+ //] [/lambert_w_simple_examples_out_of_range]
+     // Error in function boost::math::lambert_wm1<RealType>(<RealType>):
+      // Argument z = 1 is out of range (z <= 0) for Lambert W-1 branch! (Try Lambert W0 branch?)
+    }
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}  // int main()
+
+   /*
+
+   Output:
+//[lambert_w_simple_examples_error_message_1
+Error in function boost::math::lambert_wm1<RealType>(<RealType>):
+Argument z = 1 is out of range (z <= 0) for Lambert W-1 branch! (Try Lambert W0 branch?)
+//] [/lambert_w_simple_examples_error_message_1]
+
+   */
diff --git a/src/boost/libs/math/example/laplace_example.cpp b/src/boost/libs/math/example/laplace_example.cpp
new file mode 100644
index 00000000..ed99dba2
--- /dev/null
+++ b/src/boost/libs/math/example/laplace_example.cpp
@@ -0,0 +1,169 @@
+// laplace_example.cpp
+
+// Copyright Paul A. Bristow 2008, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of using laplace (& comparing with normal) distribution.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[laplace_example1
+/*`
+First we need some includes to access the laplace & normal distributions
+(and some std output of course).
+*/
+
+#include <boost/math/distributions/laplace.hpp> // for laplace_distribution
+  using boost::math::laplace; // typedef provides default type is double.
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+
+#include <iostream>
+  using std::cout; using std::endl; using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+int main()
+{
+  cout << "Example: Laplace distribution." << endl;
+
+  try
+  {
+    { // Traditional tables and values.
+/*`Let's start by printing some traditional tables.
+*/      
+      double step = 1.; // in z 
+      double range = 4; // min and max z = -range to +range.
+      //int precision = 17; // traditional tables are only computed to much lower precision.
+      int precision = 4; // traditional table at much lower precision.
+      int width = 10; // for use with setw.
+
+      // Construct standard laplace & normal distributions l & s
+        normal s; // (default location or mean = zero, and scale or standard deviation = unity)
+        cout << "Standard normal distribution, mean or location = "<< s.location()
+          << ", standard deviation or scale = " << s.scale() << endl;
+        laplace l; // (default mean = zero, and standard deviation = unity)
+        cout << "Laplace normal distribution, location = "<< l.location()
+          << ", scale = " << l.scale() << endl;
+
+/*` First the probability distribution function (pdf).
+*/
+      cout << "Probability distribution function values" << endl;
+      cout << " z  PDF  normal     laplace    (difference)" << endl;
+      cout.precision(5);
+      for (double z = -range; z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " " 
+          << setprecision(precision) << setw(width) << pdf(s, z) << "  "
+          << setprecision(precision) << setw(width) << pdf(l, z)<<  "  ("
+          << setprecision(precision) << setw(width) << pdf(l, z) - pdf(s, z) // difference.
+          << ")" << endl;
+      }
+      cout.precision(6); // default
+/*`Notice how the laplace is less at z = 1 , but has 'fatter' tails at 2 and 3. 
+
+   And the area under the normal curve from -[infin] up to z,
+   the cumulative distribution function (cdf).
+*/
+      // For a standard distribution 
+      cout << "Standard location = "<< s.location()
+        << ", scale = " << s.scale() << endl;
+      cout << "Integral (area under the curve) from - infinity up to z " << endl;
+      cout << " z  CDF  normal     laplace    (difference)" << endl;
+      for (double z = -range; z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " " 
+          << setprecision(precision) << setw(width) << cdf(s, z) << "  "
+          << setprecision(precision) << setw(width) << cdf(l, z) <<  "  ("
+          << setprecision(precision) << setw(width) << cdf(l, z) - cdf(s, z) // difference.
+          << ")" << endl;
+      }
+      cout.precision(6); // default
+
+/*`
+Pretty-printing a traditional 2-dimensional table is left as an exercise for the student,
+but why bother now that the Boost Math Toolkit lets you write
+*/
+    double z = 2.; 
+    cout << "Area for gaussian z = " << z << " is " << cdf(s, z) << endl; // to get the area for z.
+    cout << "Area for laplace z = " << z << " is " << cdf(l, z) << endl; // 
+/*`
+Correspondingly, we can obtain the traditional 'critical' values for significance levels.
+For the 95% confidence level, the significance level usually called alpha,
+is 0.05 = 1 - 0.95 (for a one-sided test), so we can write
+*/
+     cout << "95% of gaussian area has a z below " << quantile(s, 0.95) << endl;
+     cout << "95% of laplace area has a z below " << quantile(l, 0.95) << endl;
+   // 95% of area has a z below 1.64485
+   // 95% of laplace area has a z below 2.30259
+/*`and a two-sided test (a comparison between two levels, rather than a one-sided test)
+
+*/
+     cout << "95% of gaussian area has a z between " << quantile(s, 0.975)
+       << " and " << -quantile(s, 0.975) << endl;
+     cout << "95% of laplace area has a z between " << quantile(l, 0.975)
+       << " and " << -quantile(l, 0.975) << endl;
+   // 95% of area has a z between 1.95996 and -1.95996
+   // 95% of laplace area has a z between 2.99573 and -2.99573
+/*`Notice how much wider z has to be to enclose 95% of the area.
+*/
+  }
+//] [/[laplace_example1]
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies 
+    // are to throw exceptions on arguments that cause errors like underflow, overflow. 
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+Example: Laplace distribution.
+Standard normal distribution, mean or location = 0, standard deviation or scale = 1
+Laplace normal distribution, location = 0, scale = 1
+Probability distribution function values
+ z  PDF  normal     laplace    (difference)
+-4     0.0001338   0.009158    (0.009024  )
+-3     0.004432    0.02489     (0.02046   )
+-2     0.05399     0.06767     (0.01368   )
+-1     0.242       0.1839      (-0.05803  )
+0      0.3989      0.5         (0.1011    )
+1      0.242       0.1839      (-0.05803  )
+2      0.05399     0.06767     (0.01368   )
+3      0.004432    0.02489     (0.02046   )
+4      0.0001338   0.009158    (0.009024  )
+Standard location = 0, scale = 1
+Integral (area under the curve) from - infinity up to z 
+ z  CDF  normal     laplace    (difference)
+-4     3.167e-005  0.009158    (0.009126  )
+-3     0.00135     0.02489     (0.02354   )
+-2     0.02275     0.06767     (0.04492   )
+-1     0.1587      0.1839      (0.02528   )
+0      0.5         0.5         (0         )
+1      0.8413      0.8161      (-0.02528  )
+2      0.9772      0.9323      (-0.04492  )
+3      0.9987      0.9751      (-0.02354  )
+4      1           0.9908      (-0.009126 )
+Area for gaussian z = 2 is 0.97725
+Area for laplace z = 2 is 0.932332
+95% of gaussian area has a z below 1.64485
+95% of laplace area has a z below 2.30259
+95% of gaussian area has a z between 1.95996 and -1.95996
+95% of laplace area has a z between 2.99573 and -2.99573
+
+*/
+
diff --git a/src/boost/libs/math/example/legendre_stieltjes_example.cpp b/src/boost/libs/math/example/legendre_stieltjes_example.cpp
new file mode 100644
index 00000000..00ceba27
--- /dev/null
+++ b/src/boost/libs/math/example/legendre_stieltjes_example.cpp
@@ -0,0 +1,110 @@
+// Copyright Nick Thompson 2017.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+#include <string>
+#include <boost/math/constants/constants.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+
+using boost::math::legendre_p;
+using boost::math::legendre_p_zeros;
+using boost::math::legendre_p_prime;
+using boost::math::legendre_stieltjes;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_dec_float_100;
+
+template<class Real>
+void gauss_kronrod_rule(size_t order)
+{
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    std::cout << std::fixed;
+    auto gauss_nodes = boost::math::legendre_p_zeros<Real>(order);
+    auto E = legendre_stieltjes<Real>(order + 1);
+    std::vector<Real> gauss_weights(gauss_nodes.size(), std::numeric_limits<Real>::quiet_NaN());
+    std::vector<Real> gauss_kronrod_weights(gauss_nodes.size(), std::numeric_limits<Real>::quiet_NaN());
+    for (size_t i = 0; i < gauss_nodes.size(); ++i)
+    {
+        Real node = gauss_nodes[i];
+        Real lp = legendre_p_prime<Real>(order, node);
+        gauss_weights[i] = 2/( (1-node*node)*lp*lp);
+        // P_n(x) = (2n)!/(2^n (n!)^2) pi_n(x), where pi_n is the monic Legendre polynomial.
+        gauss_kronrod_weights[i] = gauss_weights[i] + static_cast<Real>(2)/(static_cast<Real>(order+1)*legendre_p_prime(order, node)*E(node));
+    }
+
+    std::cout << "static const std::vector<Real> gauss_nodes {\n";
+    for (auto const & node : gauss_nodes)
+    {
+        std::cout << "    boost::lexical_cast<Real>(\"" << node << "\"),\n";
+    }
+    std::cout << "};\n\n";
+
+    std::cout << "static const std::vector<Real> gauss_weights {\n";
+    for (auto const & weight : gauss_weights)
+    {
+        std::cout << "    boost::lexical_cast<Real>(\"" << weight << "\"),\n";
+    }
+    std::cout << "};\n\n";
+
+    std::cout << "static const std::vector<Real> gauss_kronrod_weights {\n";
+    for (auto const & weight : gauss_kronrod_weights)
+    {
+        std::cout << "    boost::lexical_cast<Real>(\"" << weight << "\"),\n";
+    }
+    std::cout << "};\n\n";
+
+    auto kronrod_nodes = E.zeros();
+    std::vector<Real> kronrod_weights(kronrod_nodes.size());
+    for (size_t i = 0; i < kronrod_weights.size(); ++i)
+    {
+        Real node = kronrod_nodes[i];
+        kronrod_weights[i] = static_cast<Real>(2)/(static_cast<Real>(order+1)*legendre_p(order, node)*E.prime(node));
+    }
+
+    std::cout << "static const std::vector<Real> kronrod_nodes {\n";
+    for (auto node : kronrod_nodes)
+    {
+        std::cout << "    boost::lexical_cast<Real>(\"" << node << "\"),\n";
+    }
+    std::cout << "};\n\n";
+
+    std::cout << "static const std::vector<Real> kronrod_weights {\n";
+    for (auto const & weight : kronrod_weights)
+    {
+        std::cout << "    boost::lexical_cast<Real>(\"" << weight << "\"),\n";
+    }
+    std::cout << "};\n\n";
+
+}
+
+int main()
+{
+    //std::cout << "Gauss-Kronrod 7-15 Rule:\n";
+    //gauss_kronrod_rule<cpp_dec_float_100>(7);
+
+    //std::cout << "\n\nGauss-Kronrod 10-21 Rule:\n";
+    //gauss_kronrod_rule<cpp_dec_float_100>(10);
+
+    std::cout << "\n\nGauss-Kronrod 15-31 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(15);
+    /*
+    std::cout << "\n\nGauss-Kronrod 20-41 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(20);
+
+    std::cout << "\n\nGauss-Kronrod 25-51 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(25);
+
+    std::cout << "\n\nGauss-Kronrod 30-61 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(30);
+
+    std::cout << "\n\nGauss-Kronrod 35-71 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(35);
+
+    std::cout << "\n\nGauss-Kronrod 40-81 Rule:\n";
+    gauss_kronrod_rule<cpp_dec_float_100>(40);*/
+}
diff --git a/src/boost/libs/math/example/lexical_cast_native.cpp b/src/boost/libs/math/example/lexical_cast_native.cpp
new file mode 100644
index 00000000..aaee6b5d
--- /dev/null
+++ b/src/boost/libs/math/example/lexical_cast_native.cpp
@@ -0,0 +1,133 @@
+/** lexical_cast_nonfinite_facets.cpp
+*
+* Copyright (c) 2011 Paul A. Bristow
+*
+* Distributed under the Boost Software License, Version 1.0.
+* (See accompanying file LICENSE_1_0.txt
+* or copy at http://www.boost.org/LICENSE_1_0.txt)
+*
+* This very simple program illustrates how to use the
+* `boost/math/nonfinite_num_facets.hpp' with lexical cast
+* to obtain C99 representation of infinity and NaN.
+* This example is from the original Floating Point  Utilities contribution by Johan Rade.
+* Floating Point Utility library has been accepted into Boost,
+* but the utilities are incorporated into Boost.Math library.
+*
+\file
+
+\brief A very simple example of using lexical cast with
+non_finite_num facet for C99 standard output of infinity and NaN.
+
+\detail This example shows how to create a C99 non-finite locale,
+and imbue input and output streams with the non_finite_num put and get facets.
+This allows lexical_cast output and input of infinity and NaN in a Standard portable way,
+This permits 'loop-back' of output back into input (and portably across different system too).
+
+*/
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_get;
+using boost::math::nonfinite_num_put;
+
+#include <boost/lexical_cast.hpp>
+using boost::lexical_cast;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::cerr;
+
+#include <iomanip>
+using std::setw;
+using std::left;
+using std::right;
+using std::internal;
+
+#include <string>
+using std::string;
+
+#include <sstream>
+using std::istringstream;
+
+#include <limits>
+using std::numeric_limits;
+
+#include <locale>
+using std::locale;
+
+#include <boost/assert.hpp>
+
+int main ()
+{
+  std::cout << "lexical_cast example (NOT using finite_num_facet)." << std::endl;
+    
+  if((std::numeric_limits<double>::has_infinity == false) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == false) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+  
+  // Some tests that are expected to fail on some platforms.
+  // (But these tests are expected to pass using non_finite num_put and num_get facets).
+
+  // Use the current 'native' default locale.
+  std::locale default_locale (std::locale::classic ()); // Note the currrent (default C) locale.
+
+  // Create plus and minus infinity.
+  double plus_infinity = +std::numeric_limits<double>::infinity();
+  double minus_infinity = -std::numeric_limits<double>::infinity();
+
+  // and create a NaN (NotANumber).
+  double NaN = +std::numeric_limits<double>::quiet_NaN ();
+
+  // Output the nonfinite values using the current (default C) locale.
+  // The default representations differ from system to system,
+  // for example, using Microsoft compilers, 1.#INF, -1.#INF, and 1.#QNAN.
+  cout << "Using default locale" << endl;
+  cout << "+std::numeric_limits<double>::infinity() = " << plus_infinity << endl;
+  cout << "-std::numeric_limits<double>::infinity() = " << minus_infinity << endl;
+  cout << "+std::numeric_limits<double>::quiet_NaN () = " << NaN << endl;
+      
+  // Checks below are expected to fail on some platforms!
+
+  // Now try some 'round-tripping', 'reading' "inf"
+  double x = boost::lexical_cast<double>("inf");
+  // and check we get a floating-point infinity.
+  BOOST_ASSERT(x == std::numeric_limits<double>::infinity());
+
+  // Check we can convert the other way from floating-point infinity,
+  string s = boost::lexical_cast<string>(numeric_limits<double>::infinity());
+  // to a C99 string representation as "inf".
+  BOOST_ASSERT(s == "inf");
+
+  // Finally try full 'round-tripping' (in both directions):
+  BOOST_ASSERT(lexical_cast<double>(lexical_cast<string>(numeric_limits<double>::infinity()))
+    == numeric_limits<double>::infinity());
+  BOOST_ASSERT(lexical_cast<string>(lexical_cast<double>("inf")) == "inf");
+
+  return 0;
+} // int main()
+
+/*
+
+Output:
+
+from MSVC 10, fails (as expected)
+
+  lexical_cast_native.vcxproj -> J:\Cpp\fp_facet\fp_facet\Debug\lexical_cast_native.exe
+  lexical_cast example (NOT using finite_num_facet).
+  Using default locale
+  +std::numeric_limits<double>::infinity() = 1.#INF
+  -std::numeric_limits<double>::infinity() = -1.#INF
+  +std::numeric_limits<double>::quiet_NaN () = 1.#QNAN
+C:\Program Files\MSBuild\Microsoft.Cpp\v4.0\Microsoft.CppCommon.targets(183,5): error MSB3073: The command ""J:\Cpp\fp_facet\fp_facet\Debug\lexical_cast_native.exe"
+C:\Program Files\MSBuild\Microsoft.Cpp\v4.0\Microsoft.CppCommon.targets(183,5): error MSB3073: :VCEnd" exited with code 3.
+
+
+*/
diff --git a/src/boost/libs/math/example/lexical_cast_nonfinite_facets.cpp b/src/boost/libs/math/example/lexical_cast_nonfinite_facets.cpp
new file mode 100644
index 00000000..ecbda89a
--- /dev/null
+++ b/src/boost/libs/math/example/lexical_cast_nonfinite_facets.cpp
@@ -0,0 +1,133 @@
+/** lexical_cast_nonfinite_facets.cpp
+*
+* Copyright (c) 2011 Paul A. Bristow
+*
+* Distributed under the Boost Software License, Version 1.0.
+* (See accompanying file LICENSE_1_0.txt
+* or copy at http://www.boost.org/LICENSE_1_0.txt)
+*
+* This very simple program illustrates how to use the
+* `boost/math/nonfinite_num_facets.hpp' with lexical cast
+* to obtain C99 representation of infinity and NaN.
+* This example is from the original Floating Point  Utilities contribution by Johan Rade.
+* Floating Point Utility library has been accepted into Boost,
+* but the utilities are incorporated into Boost.Math library.
+*
+\file
+
+\brief A very simple example of using lexical cast with
+non_finite_num facet for C99 standard output of infinity and NaN.
+
+\detail This example shows how to create a C99 non-finite locale,
+and imbue input and output streams with the non_finite_num put and get facets.
+This allows lexical_cast output and input of infinity and NaN in a Standard portable way,
+This permits 'loop-back' of output back into input (and portably across different system too).
+
+See also lexical_cast_native.cpp which is expected to fail on many systems,
+but might succeed if the default locale num_put and num_get facets
+comply with C99 nonfinite input and output specification.
+
+*/
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_get;
+using boost::math::nonfinite_num_put;
+
+#include <boost/lexical_cast.hpp>
+using boost::lexical_cast;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::cerr;
+
+#include <iomanip>
+using std::setw;
+using std::left;
+using std::right;
+using std::internal;
+
+#include <string>
+using std::string;
+
+#include <sstream>
+using std::istringstream;
+
+#include <limits>
+using std::numeric_limits;
+
+#include <locale>
+using std::locale;
+
+#include <boost/assert.hpp>
+
+int main ()
+{
+  std::cout << "finite_num_facet with lexical_cast example." << std::endl;
+
+  // Example of using non_finite num_put and num_get facets with lexical_cast.
+  //locale old_locale;
+  //locale tmp_locale(old_locale, new nonfinite_num_put<char>);
+  //// Create a new temporary output locale, and add the output nonfinite_num_put facet.
+
+  //locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  // Create a new output locale (from the tmp locale), and add the input nonfinite_num_get facet.
+
+  // Note that you can only add facets one at a time, 
+  // unless you chain thus:
+  
+  std::locale new_locale(std::locale(std::locale(),
+    new boost::math::nonfinite_num_put<char>),
+    new boost::math::nonfinite_num_get<char>);
+  
+  locale::global(new_locale); // Newly constructed streams
+  // (including those streams inside lexical_cast)
+  // now use new_locale with nonfinite facets.
+
+  // Output using the new locale.
+  cout << "Using C99_out_locale " << endl;
+  cout.imbue(new_locale);
+  // Necessary because cout already constructed using default C locale,
+  // and default facets for nonfinites.
+
+    // Create plus and minus infinity.
+  double plus_infinity = +std::numeric_limits<double>::infinity();
+  double minus_infinity = -std::numeric_limits<double>::infinity();
+
+  // and create a NaN (NotANumber)
+  double NaN = +std::numeric_limits<double>::quiet_NaN ();
+  cout << "+std::numeric_limits<double>::infinity() = " << plus_infinity << endl;
+  cout << "-std::numeric_limits<double>::infinity() = " << minus_infinity << endl;
+  cout << "+std::numeric_limits<double>::quiet_NaN () = " << NaN << endl;
+
+  // Now try some 'round-tripping', 'reading' "inf".
+  double x = boost::lexical_cast<double>("inf");
+  // and check we get a floating-point infinity.
+  BOOST_ASSERT(x == std::numeric_limits<double>::infinity());
+  cout << "boost::lexical_cast<double>(\"inf\") = " << x << endl;
+
+  // Check we can convert the other way from floating-point infinity,
+  string s = boost::lexical_cast<string>(numeric_limits<double>::infinity());
+  // to a C99 string representation as "inf".
+  BOOST_ASSERT(s == "inf");
+
+  // Finally try full 'round-tripping' (in both directions):
+  BOOST_ASSERT(lexical_cast<double>(lexical_cast<string>(numeric_limits<double>::infinity()))
+    == numeric_limits<double>::infinity());
+  BOOST_ASSERT(lexical_cast<string>(lexical_cast<double>("inf")) == "inf");
+
+    return 0;
+} // int main()
+
+/*
+
+Output:
+  finite_num_facet with lexical_cast example.
+  Using C99_out_locale 
+  +std::numeric_limits<double>::infinity() = inf
+  -std::numeric_limits<double>::infinity() = -inf
+  +std::numeric_limits<double>::quiet_NaN () = nan
+  boost::lexical_cast<double>("inf") = inf
+
+
+*/
diff --git a/src/boost/libs/math/example/naive_monte_carlo_example.cpp b/src/boost/libs/math/example/naive_monte_carlo_example.cpp
new file mode 100644
index 00000000..800eb679
--- /dev/null
+++ b/src/boost/libs/math/example/naive_monte_carlo_example.cpp
@@ -0,0 +1,136 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+#include <iostream>
+#include <iomanip>
+#include <limits>
+#include <cmath>
+#include <thread>
+#include <future>
+#include <string>
+#include <chrono>
+#include <boost/math/special_functions/pow.hpp>
+#include <boost/math/constants/constants.hpp>
+
+using std::vector;
+using std::pair;
+using boost::math::quadrature::naive_monte_carlo;
+
+void display_progress(double progress,
+                      double error_estimate,
+                      double current_estimate,
+                      std::chrono::duration<double> estimated_time_to_completion)
+{
+    int barWidth = 70;
+
+    std::cout << "[";
+    int pos = barWidth * progress;
+    for (int i = 0; i < barWidth; ++i) {
+        if (i < pos) std::cout << "=";
+        else if (i == pos) std::cout << ">";
+        else std::cout << " ";
+    }
+    std::cout << "] "
+              << int(progress * 100.0)
+              << "%, E = "
+              << std::setprecision(3)
+              << error_estimate
+              << ", time to completion: "
+              << estimated_time_to_completion.count()
+              << " seconds, estimate: "
+              << std::setprecision(5)
+              << current_estimate
+              << "     \r";
+
+    std::cout.flush();
+}
+
+int main()
+{
+    double exact = 1.3932039296856768591842462603255;
+    double A = 1.0 / boost::math::pow<3>(boost::math::constants::pi<double>());
+    auto g = [&](std::vector<double> const & x)
+    {
+      return A / (1.0 - cos(x[0])*cos(x[1])*cos(x[2]));
+    };
+    vector<pair<double, double>> bounds{{0, boost::math::constants::pi<double>() }, {0, boost::math::constants::pi<double>() }, {0, boost::math::constants::pi<double>() }};
+    naive_monte_carlo<double, decltype(g)> mc(g, bounds, 0.001);
+
+    auto task = mc.integrate();
+
+    int s = 0;
+    std::cout << "Hit ctrl-c to cancel.\n";
+    while (task.wait_for(std::chrono::seconds(1)) != std::future_status::ready)
+    {
+        display_progress(mc.progress(),
+                         mc.current_error_estimate(),
+                         mc.current_estimate(),
+                         mc.estimated_time_to_completion());
+        // TODO: The following shows that cancellation works,
+        // but it would be nice to show how it works with a ctrl-c signal handler.
+        if (s++ > 25){
+          mc.cancel();
+          std::cout << "\nCancelling because this is too slow!\n";
+        }
+    }
+    double y = task.get();
+    display_progress(mc.progress(),
+                     mc.current_error_estimate(),
+                     mc.current_estimate(),
+                     mc.estimated_time_to_completion());
+    std::cout << std::setprecision(std::numeric_limits<double>::digits10) << std::fixed;
+    std::cout << "\nFinal value: " << y << std::endl;
+    std::cout << "Exact      : " << exact << std::endl;
+    std::cout << "Final error estimate: " << mc.current_error_estimate() << std::endl;
+    std::cout << "Actual error        : " << abs(y - exact) << std::endl;
+    std::cout << "Function calls: " << mc.calls() << std::endl;
+    std::cout << "Is this good enough? [y/N] ";
+    bool goodenough = true;
+    std::string line;
+    std::getline(std::cin, line);
+    if (line[0] != 'y')
+    {
+         goodenough = false;
+    }
+    double new_error = -1;
+    if (!goodenough)
+    {
+        std::cout << "What is the new target error? ";
+        std::getline(std::cin, line);
+        new_error = atof(line.c_str());
+        if (new_error >= mc.current_error_estimate())
+        {
+           std::cout << "That error bound is already satisfied.\n";
+           return 0;
+        }
+    }
+    if (new_error > 0)
+    {
+        mc.update_target_error(new_error);
+        auto task = mc.integrate();
+        std::cout << "Hit ctrl-c to cancel.\n";
+        while (task.wait_for(std::chrono::seconds(1)) != std::future_status::ready)
+        {
+            display_progress(mc.progress(),
+                             mc.current_error_estimate(),
+                             mc.current_estimate(),
+                             mc.estimated_time_to_completion());
+        }
+        double y = task.get();
+        display_progress(mc.progress(),
+                         mc.current_error_estimate(),
+                         mc.current_estimate(),
+                         mc.estimated_time_to_completion());
+        std::cout << std::setprecision(std::numeric_limits<double>::digits10) << std::fixed;
+        std::cout << "\nFinal value: " << y << std::endl;
+        std::cout << "Exact      : " << exact << std::endl;
+        std::cout << "Final error estimate: " << mc.current_error_estimate() << std::endl;
+        std::cout << "Actual error        : " << abs(y - exact) << std::endl;
+        std::cout << "Function calls: " << mc.calls() << std::endl;
+    }
+}
diff --git a/src/boost/libs/math/example/nc_chi_sq_example.cpp b/src/boost/libs/math/example/nc_chi_sq_example.cpp
new file mode 100644
index 00000000..75bfa944
--- /dev/null
+++ b/src/boost/libs/math/example/nc_chi_sq_example.cpp
@@ -0,0 +1,115 @@
+// Copyright John Maddock 2008
+// Copyright Paul A. Bristow 2010, 2013
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Caution: this file contains Quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+//[nccs_eg
+
+/*`
+
+This example computes a table of the power of the [chi][super 2]
+test at the 5% significance level, for various degrees of freedom
+and non-centrality parameters.  The table is deliberately the same
+as Table 6 from "The Non-Central [chi][super 2] and F-Distributions and
+their applications.", P. B. Patnaik, Biometrika, Vol. 36, No. 1/2 (June 1949),
+202-232.
+
+First we need some includes to access the non-central chi squared distribution
+(and some basic std output of course).
+
+*/
+
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+using boost::math::chi_squared;
+using boost::math::non_central_chi_squared;
+
+#include <iostream>
+using std::cout; using std::endl;
+using std::setprecision;
+
+int main()
+{
+   /*`
+   Create a table of the power of the [chi][super 2] test at
+   5% significance level, start with a table header:
+   */
+   cout << "[table\n[[[nu]]";
+   for(int lam = 2; lam <= 20; lam += 2)
+   {
+      cout << "[[lambda]=" << lam << "]";
+   }
+   cout << "]\n";
+
+   /*`
+   (Note: the enclosing [] brackets are to format as a table in Boost.Quickbook).
+
+   Enumerate the rows and columns and print the power of the test
+   for each table cell:
+   */
+
+   for(int n = 2; n <= 20; ++n)
+   {
+      cout << "[[" << n << "]";
+      for(int lam = 2; lam <= 20; lam += 2)
+      {
+         /*`
+         Calculate the [chi][super 2] statistic for a 5% significance:
+         */
+         double cs = quantile(complement(chi_squared(n), 0.05));
+         /*`
+         The power of the test is given by the complement of the CDF
+         of the non-central [chi][super 2] distribution:
+         */
+         double beta = cdf(complement(non_central_chi_squared(n, lam), cs));
+         /*`
+         Then output the cell value:
+         */
+         cout << "[" << setprecision(3) << beta << "]";
+      }
+      cout << "]" << endl;
+   }
+   cout << "]" << endl;
+}
+
+/*`
+The output from this program is a table in Boost.Quickbook format as shown below.
+
+We can interpret this as follows - for example if [nu]=10 and [lambda]=10
+then the power of the test is 0.542 - so we have only a 54% chance of
+correctly detecting that our null hypothesis is false, and a 46% chance
+of incurring a type II error (failing to reject the null hypothesis when
+it is in fact false):
+
+[table
+[[[nu]][[lambda]=2][[lambda]=4][[lambda]=6][[lambda]=8][[lambda]=10][[lambda]=12][[lambda]=14][[lambda]=16][[lambda]=18][[lambda]=20]]
+[[2][0.226][0.415][0.584][0.718][0.815][0.883][0.928][0.957][0.974][0.985]]
+[[3][0.192][0.359][0.518][0.654][0.761][0.84][0.896][0.934][0.959][0.975]]
+[[4][0.171][0.32][0.47][0.605][0.716][0.802][0.866][0.912][0.943][0.964]]
+[[5][0.157][0.292][0.433][0.564][0.677][0.769][0.839][0.89][0.927][0.952]]
+[[6][0.146][0.27][0.403][0.531][0.644][0.738][0.813][0.869][0.911][0.94]]
+[[7][0.138][0.252][0.378][0.502][0.614][0.71][0.788][0.849][0.895][0.928]]
+[[8][0.131][0.238][0.357][0.477][0.588][0.685][0.765][0.829][0.879][0.915]]
+[[9][0.125][0.225][0.339][0.454][0.564][0.661][0.744][0.811][0.863][0.903]]
+[[10][0.121][0.215][0.323][0.435][0.542][0.64][0.723][0.793][0.848][0.891]]
+[[11][0.117][0.206][0.309][0.417][0.523][0.62][0.704][0.775][0.833][0.878]]
+[[12][0.113][0.198][0.297][0.402][0.505][0.601][0.686][0.759][0.818][0.866]]
+[[13][0.11][0.191][0.286][0.387][0.488][0.584][0.669][0.743][0.804][0.854]]
+[[14][0.108][0.185][0.276][0.374][0.473][0.567][0.653][0.728][0.791][0.842]]
+[[15][0.105][0.179][0.267][0.362][0.459][0.552][0.638][0.713][0.777][0.83]]
+[[16][0.103][0.174][0.259][0.351][0.446][0.538][0.623][0.699][0.764][0.819]]
+[[17][0.101][0.169][0.251][0.341][0.434][0.525][0.609][0.686][0.752][0.807]]
+[[18][0.0992][0.165][0.244][0.332][0.423][0.512][0.596][0.673][0.74][0.796]]
+[[19][0.0976][0.161][0.238][0.323][0.412][0.5][0.584][0.66][0.728][0.786]]
+[[20][0.0961][0.158][0.232][0.315][0.402][0.489][0.572][0.648][0.716][0.775]]
+]
+
+See [@../../example/nc_chi_sq_example.cpp nc_chi_sq_example.cpp] for the full C++ source code.
+
+*/
+
+//]
diff --git a/src/boost/libs/math/example/neg_binom_confidence_limits.cpp b/src/boost/libs/math/example/neg_binom_confidence_limits.cpp
new file mode 100644
index 00000000..6cca70cb
--- /dev/null
+++ b/src/boost/libs/math/example/neg_binom_confidence_limits.cpp
@@ -0,0 +1,178 @@
+// neg_binomial_confidence_limits.cpp
+
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2007, 2010
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Caution: this file contains quickbook markup as well as code
+// and comments, don't change any of the special comment markups!
+
+//[neg_binomial_confidence_limits
+
+/*`
+
+First we need some includes to access the negative binomial distribution
+(and some basic std output of course).
+
+*/
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial;
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <iomanip>
+using std::setprecision;
+using std::setw; using std::left; using std::fixed; using std::right;
+
+/*`
+First define a table of significance levels: these are the 
+probabilities that the true occurrence frequency lies outside the calculated
+interval:
+*/
+
+  double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+
+/*`
+Confidence value as % is (1 - alpha) * 100, so alpha 0.05 == 95% confidence
+that the true occurrence frequency lies *inside* the calculated interval.
+
+We need a function to calculate and print confidence limits
+for an observed frequency of occurrence 
+that follows a negative binomial distribution.
+
+*/
+
+void confidence_limits_on_frequency(unsigned trials, unsigned successes)
+{
+   // trials = Total number of trials.
+   // successes = Total number of observed successes.
+   // failures = trials - successes.
+   // success_fraction = successes /trials.
+   // Print out general info:
+   cout <<
+      "______________________________________________\n"
+      "2-Sided Confidence Limits For Success Fraction\n"
+      "______________________________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Number of trials" << " =  " << trials << "\n";
+   cout << setw(40) << left << "Number of successes" << " =  " << successes << "\n";
+   cout << setw(40) << left << "Number of failures" << " =  " << trials - successes << "\n";
+   cout << setw(40) << left << "Observed frequency of occurrence" << " =  " << double(successes) / trials << "\n";
+
+   // Print table header:
+   cout << "\n\n"
+           "___________________________________________\n"
+           "Confidence        Lower          Upper\n"
+           " Value (%)        Limit          Limit\n"
+           "___________________________________________\n";
+
+
+/*`
+And now for the important part - the bounds themselves.
+For each value of /alpha/, we call `find_lower_bound_on_p` and 
+`find_upper_bound_on_p` to obtain lower and upper bounds respectively. 
+Note that since we are calculating a two-sided interval,
+we must divide the value of alpha in two.  Had we been calculating a 
+single-sided interval, for example: ['"Calculate a lower bound so that we are P%
+sure that the true occurrence frequency is greater than some value"]
+then we would *not* have divided by two.
+*/
+
+   // Now print out the upper and lower limits for the alpha table values.
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // Calculate bounds:
+      double lower = negative_binomial::find_lower_bound_on_p(trials, successes, alpha[i]/2);
+      double upper = negative_binomial::find_upper_bound_on_p(trials, successes, alpha[i]/2);
+      // Print limits:
+      cout << fixed << setprecision(5) << setw(15) << right << lower;
+      cout << fixed << setprecision(5) << setw(15) << right << upper << endl;
+   }
+   cout << endl;
+} // void confidence_limits_on_frequency(unsigned trials, unsigned successes)
+
+/*`
+
+And then call confidence_limits_on_frequency with increasing numbers of trials,
+but always the same success fraction 0.1, or 1 in 10.
+
+*/
+
+int main()
+{
+  confidence_limits_on_frequency(20, 2); // 20 trials, 2 successes, 2 in 20, = 1 in 10 = 0.1 success fraction.
+  confidence_limits_on_frequency(200, 20); // More trials, but same 0.1 success fraction.
+  confidence_limits_on_frequency(2000, 200); // Many more trials, but same 0.1 success fraction.
+
+  return 0;
+} // int main()
+
+//] [/negative_binomial_confidence_limits_eg end of Quickbook in C++ markup]
+
+/*
+
+______________________________________________
+2-Sided Confidence Limits For Success Fraction
+______________________________________________
+Number of trials                         =  20
+Number of successes                      =  2
+Number of failures                       =  18
+Observed frequency of occurrence         =  0.1
+___________________________________________
+Confidence        Lower          Upper
+ Value (%)        Limit          Limit
+___________________________________________
+    50.000        0.04812        0.13554
+    75.000        0.03078        0.17727
+    90.000        0.01807        0.22637
+    95.000        0.01235        0.26028
+    99.000        0.00530        0.33111
+    99.900        0.00164        0.41802
+    99.990        0.00051        0.49202
+    99.999        0.00016        0.55574
+______________________________________________
+2-Sided Confidence Limits For Success Fraction
+______________________________________________
+Number of trials                         =  200
+Number of successes                      =  20
+Number of failures                       =  180
+Observed frequency of occurrence         =  0.1000000
+___________________________________________
+Confidence        Lower          Upper
+ Value (%)        Limit          Limit
+___________________________________________
+    50.000        0.08462        0.11350
+    75.000        0.07580        0.12469
+    90.000        0.06726        0.13695
+    95.000        0.06216        0.14508
+    99.000        0.05293        0.16170
+    99.900        0.04343        0.18212
+    99.990        0.03641        0.20017
+    99.999        0.03095        0.21664
+______________________________________________
+2-Sided Confidence Limits For Success Fraction
+______________________________________________
+Number of trials                         =  2000
+Number of successes                      =  200
+Number of failures                       =  1800
+Observed frequency of occurrence         =  0.1000000
+___________________________________________
+Confidence        Lower          Upper
+ Value (%)        Limit          Limit
+___________________________________________
+    50.000        0.09536        0.10445
+    75.000        0.09228        0.10776
+    90.000        0.08916        0.11125
+    95.000        0.08720        0.11352
+    99.000        0.08344        0.11802
+    99.900        0.07921        0.12336
+    99.990        0.07577        0.12795
+    99.999        0.07282        0.13206
+*/
+
diff --git a/src/boost/libs/math/example/neg_binomial_sample_sizes.cpp b/src/boost/libs/math/example/neg_binomial_sample_sizes.cpp
new file mode 100644
index 00000000..d01089e9
--- /dev/null
+++ b/src/boost/libs/math/example/neg_binomial_sample_sizes.cpp
@@ -0,0 +1,209 @@
+// neg_binomial_sample_sizes.cpp
+
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2007, 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial;
+
+// Default RealType is double so this permits use of:
+double find_minimum_number_of_trials(
+double k,     // number of failures (events), k >= 0.
+double p,     // fraction of trails for which event occurs, 0 <= p <= 1.
+double probability); // probability threshold, 0 <= probability <= 1.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::fixed;
+using std::right;
+#include <iomanip>
+using std::setprecision;
+using std::setw; 
+
+//[neg_binomial_sample_sizes
+
+/*`
+It centres around a routine that prints out a table of 
+minimum sample sizes (number of trials) for various probability thresholds:
+*/
+  void find_number_of_trials(double failures, double p);
+/*`
+First define a table of significance levels: these are the maximum 
+acceptable probability that /failure/ or fewer events will be observed.
+*/
+  double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+/*`
+Confidence value as % is (1 - alpha) * 100, so alpha 0.05 == 95% confidence
+that the desired number of failures will be observed.
+The values range from a very low 0.5 or 50% confidence up to an extremely high
+confidence of 99.999.
+
+Much of the rest of the program is pretty-printing, the important part
+is in the calculation of minimum number of trials required for each
+value of alpha using:
+
+  (int)ceil(negative_binomial::find_minimum_number_of_trials(failures, p, alpha[i]);
+
+find_minimum_number_of_trials returns a double,
+so `ceil` rounds this up to ensure we have an integral minimum number of trials.
+*/
+  
+void find_number_of_trials(double failures, double p)
+{
+   // trials = number of trials
+   // failures = number of failures before achieving required success(es).
+   // p        = success fraction (0 <= p <= 1.).
+   //
+   // Calculate how many trials we need to ensure the
+   // required number of failures DOES exceed "failures".
+
+  cout << "\n""Target number of failures = " << (int)failures;
+  cout << ",   Success fraction = " << fixed << setprecision(1) << 100 * p << "%" << endl;
+   // Print table header:
+   cout << "____________________________\n"
+           "Confidence        Min Number\n"
+           " Value (%)        Of Trials \n"
+           "____________________________\n";
+   // Now print out the data for the alpha table values.
+  for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   { // Confidence values %:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]) << "      "
+      // find_minimum_number_of_trials
+      << setw(6) << right
+      << (int)ceil(negative_binomial::find_minimum_number_of_trials(failures, p, alpha[i]))
+      << endl;
+   }
+   cout << endl;
+} // void find_number_of_trials(double failures, double p)
+
+/*` finally we can produce some tables of minimum trials for the chosen confidence levels:
+*/
+
+int main()
+{
+    find_number_of_trials(5, 0.5);
+    find_number_of_trials(50, 0.5);
+    find_number_of_trials(500, 0.5);
+    find_number_of_trials(50, 0.1);
+    find_number_of_trials(500, 0.1);
+    find_number_of_trials(5, 0.9);
+
+    return 0;
+} // int main()
+
+//]  [/neg_binomial_sample_sizes.cpp end of Quickbook in C++ markup]
+
+/*
+
+Output is:
+Target number of failures = 5,   Success fraction = 50.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000          11
+      75.000          14
+      90.000          17
+      95.000          18
+      99.000          22
+      99.900          27
+      99.990          31
+      99.999          36
+  
+  
+  Target number of failures = 50,   Success fraction = 50.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000         101
+      75.000         109
+      90.000         115
+      95.000         119
+      99.000         128
+      99.900         137
+      99.990         146
+      99.999         154
+  
+  
+  Target number of failures = 500,   Success fraction = 50.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000        1001
+      75.000        1023
+      90.000        1043
+      95.000        1055
+      99.000        1078
+      99.900        1104
+      99.990        1126
+      99.999        1146
+  
+  
+  Target number of failures = 50,   Success fraction = 10.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000          56
+      75.000          58
+      90.000          60
+      95.000          61
+      99.000          63
+      99.900          66
+      99.990          68
+      99.999          71
+  
+  
+  Target number of failures = 500,   Success fraction = 10.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000         556
+      75.000         562
+      90.000         567
+      95.000         570
+      99.000         576
+      99.900         583
+      99.990         588
+      99.999         594
+  
+  
+  Target number of failures = 5,   Success fraction = 90.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000          57
+      75.000          73
+      90.000          91
+      95.000         103
+      99.000         127
+      99.900         159
+      99.990         189
+      99.999         217
+  
+  
+  Target number of failures = 5,   Success fraction = 95.0%
+  ____________________________
+  Confidence        Min Number
+   Value (%)        Of Trials 
+  ____________________________
+      50.000         114
+      75.000         148
+      90.000         184
+      95.000         208
+      99.000         259
+      99.900         324
+      99.990         384
+      99.999         442
+
+*/
diff --git a/src/boost/libs/math/example/negative_binomial_example1.cpp b/src/boost/libs/math/example/negative_binomial_example1.cpp
new file mode 100644
index 00000000..0895742a
--- /dev/null
+++ b/src/boost/libs/math/example/negative_binomial_example1.cpp
@@ -0,0 +1,513 @@
+// negative_binomial_example1.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 1 of using negative_binomial distribution.
+
+//[negative_binomial_eg1_1
+
+/*`
+Based on [@http://en.wikipedia.org/wiki/Negative_binomial_distribution
+a problem by Dr. Diane Evans,
+Professor of Mathematics at Rose-Hulman Institute of Technology].
+
+Pat is required to sell candy bars to raise money for the 6th grade field trip.
+There are thirty houses in the neighborhood,
+and Pat is not supposed to return home until five candy bars have been sold.
+So the child goes door to door, selling candy bars.
+At each house, there is a 0.4 probability (40%) of selling one candy bar
+and a 0.6 probability (60%) of selling nothing.
+
+What is the probability mass (density) function (pdf) for selling the last (fifth)
+candy bar at the nth house?
+
+The Negative Binomial(r, p) distribution describes the probability of k failures
+and r successes in k+r Bernoulli(p) trials with success on the last trial.
+(A [@http://en.wikipedia.org/wiki/Bernoulli_distribution Bernoulli trial]
+is one with only two possible outcomes, success of failure,
+and p is the probability of success).
+See also [@ http://en.wikipedia.org/wiki/Bernoulli_distribution Bernoulli distribution]
+and [@http://www.math.uah.edu/stat/bernoulli/Introduction.xhtml Bernoulli applications].
+
+In this example, we will deliberately produce a variety of calculations
+and outputs to demonstrate the ways that the negative binomial distribution
+can be implemented with this library: it is also deliberately over-commented.
+
+First we need to #define macros to control the error and discrete handling policies.
+For this simple example, we want to avoid throwing
+an exception (the default policy) and just return infinity.
+We want to treat the distribution as if it was continuous,
+so we choose a discrete_quantile policy of real,
+rather than the default policy integer_round_outwards.
+*/
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+/*`
+After that we need some includes to provide easy access to the negative binomial distribution,
+[caution It is vital to #include distributions etc *after* the above #defines]
+and we need some std library iostream, of course.
+*/
+#include <boost/math/distributions/negative_binomial.hpp>
+  // for negative_binomial_distribution
+  using boost::math::negative_binomial; // typedef provides default type is double.
+  using  ::boost::math::pdf; // Probability mass function.
+  using  ::boost::math::cdf; // Cumulative density function.
+  using  ::boost::math::quantile;
+
+#include <iostream>
+  using std::cout; using std::endl;
+  using std::noshowpoint; using std::fixed; using std::right; using std::left;
+#include <iomanip>
+  using std::setprecision; using std::setw;
+
+#include <limits>
+  using std::numeric_limits;
+//] [negative_binomial_eg1_1]
+
+int main()
+{
+  cout <<"Selling candy bars - using the negative binomial distribution."
+    << "\nby Dr. Diane Evans,"
+    "\nProfessor of Mathematics at Rose-Hulman Institute of Technology,"
+    << "\nsee http://en.wikipedia.org/wiki/Negative_binomial_distribution\n"
+    << endl;
+  cout << endl;
+  cout.precision(5);
+  // None of the values calculated have a useful accuracy as great this, but
+  // INF shows wrongly with < 5 !
+  // https://connect.microsoft.com/VisualStudio/feedback/ViewFeedback.aspx?FeedbackID=240227
+//[negative_binomial_eg1_2
+/*`
+It is always sensible to use try and catch blocks because defaults policies are to
+throw an exception if anything goes wrong.
+
+A simple catch block (see below) will ensure that you get a
+helpful error message instead of an abrupt program abort.
+*/
+  try
+  {
+/*`
+Selling five candy bars means getting five successes, so successes r = 5.
+The total number of trials (n, in this case, houses visited) this takes is therefore
+  = sucesses + failures or k + r = k + 5.
+*/
+    double sales_quota = 5; // Pat's sales quota - successes (r).
+/*`
+At each house, there is a 0.4 probability (40%) of selling one candy bar
+and a 0.6 probability (60%) of selling nothing.
+*/
+    double success_fraction = 0.4; // success_fraction (p) - so failure_fraction is 0.6.
+/*`
+The Negative Binomial(r, p) distribution describes the probability of k failures
+and r successes in k+r Bernoulli(p) trials with success on the last trial.
+(A [@http://en.wikipedia.org/wiki/Bernoulli_distribution Bernoulli trial]
+is one with only two possible outcomes, success of failure,
+and p is the probability of success).
+
+We therefore start by constructing a negative binomial distribution
+with parameters sales_quota (required successes) and probability of success.
+*/
+    negative_binomial nb(sales_quota, success_fraction); // type double by default.
+/*`
+To confirm, display the success_fraction & successes parameters of the distribution.
+*/
+    cout << "Pat has a sales per house success rate of " << success_fraction
+      << ".\nTherefore he would, on average, sell " << nb.success_fraction() * 100
+      << " bars after trying 100 houses." << endl;
+
+    int all_houses = 30; // The number of houses on the estate.
+
+    cout << "With a success rate of " << nb.success_fraction()
+      << ", he might expect, on average,\n"
+        "to need to visit about " << success_fraction * all_houses
+        << " houses in order to sell all " << nb.successes() << " bars. " << endl;
+/*`
+[pre
+Pat has a sales per house success rate of 0.4.
+Therefore he would, on average, sell 40 bars after trying 100 houses.
+With a success rate of 0.4, he might expect, on average,
+to need to visit about 12 houses in order to sell all 5 bars.
+]
+
+The random variable of interest is the number of houses
+that must be visited to sell five candy bars,
+so we substitute k = n - 5 into a negative_binomial(5, 0.4)
+and obtain the __pdf of the distribution of houses visited.
+Obviously, the best possible case is that Pat makes sales on all the first five houses.
+
+We calculate this using the pdf function:
+*/
+    cout << "Probability that Pat finishes on the " << sales_quota << "th house is "
+      << pdf(nb, 5 - sales_quota) << endl; // == pdf(nb, 0)
+/*`
+Of course, he could not finish on fewer than 5 houses because he must sell 5 candy bars.
+So the 5th house is the first that he could possibly finish on.
+
+To finish on or before the 8th house, Pat must finish at the 5th, 6th, 7th or 8th house.
+The probability that he will finish on *exactly* ( == ) on any house
+is the Probability Density Function (pdf).
+*/
+    cout << "Probability that Pat finishes on the 6th house is "
+      << pdf(nb, 6 - sales_quota) << endl;
+    cout << "Probability that Pat finishes on the 7th house is "
+      << pdf(nb, 7 - sales_quota) << endl;
+    cout << "Probability that Pat finishes on the 8th house is "
+      << pdf(nb, 8 - sales_quota) << endl;
+/*`
+[pre
+Probability that Pat finishes on the 6th house is 0.03072
+Probability that Pat finishes on the 7th house is 0.055296
+Probability that Pat finishes on the 8th house is 0.077414
+]
+
+The sum of the probabilities for these houses is the Cumulative Distribution Function (cdf).
+We can calculate it by adding the individual probabilities.
+*/
+    cout << "Probability that Pat finishes on or before the 8th house is sum "
+      "\n" << "pdf(sales_quota) + pdf(6) + pdf(7) + pdf(8) = "
+      // Sum each of the mass/density probabilities for houses sales_quota = 5, 6, 7, & 8.
+      << pdf(nb, 5 - sales_quota) // 0 failures.
+        + pdf(nb, 6 - sales_quota) // 1 failure.
+        + pdf(nb, 7 - sales_quota) // 2 failures.
+        + pdf(nb, 8 - sales_quota) // 3 failures.
+      << endl;
+/*`[pre
+pdf(sales_quota) + pdf(6) + pdf(7) + pdf(8) = 0.17367
+]
+
+Or, usually better, by using the negative binomial *cumulative* distribution function.
+*/
+    cout << "\nProbability of selling his quota of " << sales_quota
+      << " bars\non or before the " << 8 << "th house is "
+      << cdf(nb, 8 - sales_quota) << endl;
+/*`[pre
+Probability of selling his quota of 5 bars on or before the 8th house is 0.17367
+]*/
+    cout << "\nProbability that Pat finishes exactly on the 10th house is "
+      << pdf(nb, 10 - sales_quota) << endl;
+    cout << "\nProbability of selling his quota of " << sales_quota
+      << " bars\non or before the " << 10 << "th house is "
+      << cdf(nb, 10 - sales_quota) << endl;
+/*`
+[pre
+Probability that Pat finishes exactly on the 10th house is 0.10033
+Probability of selling his quota of 5 bars on or before the 10th house is 0.3669
+]*/
+    cout << "Probability that Pat finishes exactly on the 11th house is "
+      << pdf(nb, 11 - sales_quota) << endl;
+    cout << "\nProbability of selling his quota of " << sales_quota
+      << " bars\non or before the " << 11 << "th house is "
+      << cdf(nb, 11 - sales_quota) << endl;
+/*`[pre
+Probability that Pat finishes on the 11th house is 0.10033
+Probability of selling his quota of 5 candy bars
+on or before the 11th house is 0.46723
+]*/
+    cout << "Probability that Pat finishes exactly on the 12th house is "
+      << pdf(nb, 12 - sales_quota) << endl;
+
+    cout << "\nProbability of selling his quota of " << sales_quota
+      << " bars\non or before the " << 12 << "th house is "
+      << cdf(nb, 12 - sales_quota) << endl;
+/*`[pre
+Probability that Pat finishes on the 12th house is 0.094596
+Probability of selling his quota of 5 candy bars
+on or before the 12th house is 0.56182
+]
+Finally consider the risk of Pat not selling his quota of 5 bars
+even after visiting all the houses.
+Calculate the probability that he /will/ sell on
+or before the last house:
+Calculate the probability that he would sell all his quota on the very last house.
+*/
+    cout << "Probability that Pat finishes on the " << all_houses
+      << " house is " << pdf(nb, all_houses - sales_quota) << endl;
+/*`
+Probability of selling his quota of 5 bars on the 30th house is
+[pre
+Probability that Pat finishes on the 30 house is 0.00069145
+]
+when he'd be very unlucky indeed!
+
+What is the probability that Pat exhausts all 30 houses in the neighborhood,
+and *still* doesn't sell the required 5 candy bars?
+*/
+    cout << "\nProbability of selling his quota of " << sales_quota
+      << " bars\non or before the " << all_houses << "th house is "
+      << cdf(nb, all_houses - sales_quota) << endl;
+/*`
+[pre
+Probability of selling his quota of 5 bars
+on or before the 30th house is 0.99849
+]
+
+So the risk of failing even after visiting all the houses is 1 - this probability,
+  ``1 - cdf(nb, all_houses - sales_quota``
+But using this expression may cause serious inaccuracy,
+so it would be much better to use the complement of the cdf:
+So the risk of failing even at, or after, the 31th (non-existent) houses is 1 - this probability,
+  ``1 - cdf(nb, all_houses - sales_quota)``
+But using this expression may cause serious inaccuracy.
+So it would be much better to use the __complement of the cdf (see __why_complements).
+*/
+    cout << "\nProbability of failing to sell his quota of " << sales_quota
+      << " bars\neven after visiting all " << all_houses << " houses is "
+      << cdf(complement(nb, all_houses - sales_quota)) << endl;
+/*`
+[pre
+Probability of failing to sell his quota of 5 bars
+even after visiting all 30 houses is 0.0015101
+]
+We can also use the quantile (percentile), the inverse of the cdf, to
+predict which house Pat will finish on.  So for the 8th house:
+*/
+ double p = cdf(nb, (8 - sales_quota));
+ cout << "Probability of meeting sales quota on or before 8th house is "<< p << endl;
+/*`
+[pre
+Probability of meeting sales quota on or before 8th house is 0.174
+]
+*/
+    cout << "If the confidence of meeting sales quota is " << p
+        << ", then the finishing house is " << quantile(nb, p) + sales_quota << endl;
+
+    cout<< " quantile(nb, p) = " << quantile(nb, p) << endl;
+/*`
+[pre
+If the confidence of meeting sales quota is 0.17367, then the finishing house is 8
+]
+Demanding absolute certainty that all 5 will be sold,
+implies an infinite number of trials.
+(Of course, there are only 30 houses on the estate,
+so he can't ever be *certain* of selling his quota).
+*/
+    cout << "If the confidence of meeting sales quota is " << 1.
+        << ", then the finishing house is " << quantile(nb, 1) + sales_quota << endl;
+    //  1.#INF == infinity.
+/*`[pre
+If the confidence of meeting sales quota is 1, then the finishing house is 1.#INF
+]
+And similarly for a few other probabilities:
+*/
+    cout << "If the confidence of meeting sales quota is " << 0.
+        << ", then the finishing house is " << quantile(nb, 0.) + sales_quota << endl;
+
+    cout << "If the confidence of meeting sales quota is " << 0.5
+        << ", then the finishing house is " << quantile(nb, 0.5) + sales_quota << endl;
+
+    cout << "If the confidence of meeting sales quota is " << 1 - 0.00151 // 30 th
+        << ", then the finishing house is " << quantile(nb, 1 - 0.00151) + sales_quota << endl;
+/*`
+[pre
+If the confidence of meeting sales quota is 0, then the finishing house is 5
+If the confidence of meeting sales quota is 0.5, then the finishing house is 11.337
+If the confidence of meeting sales quota is 0.99849, then the finishing house is 30
+]
+
+Notice that because we chose a discrete quantile policy of real,
+the result can be an 'unreal' fractional house.
+
+If the opposite is true, we don't want to assume any confidence, then this is tantamount
+to assuming that all the first sales_quota trials will be successful sales.
+*/
+    cout << "If confidence of meeting quota is zero\n(we assume all houses are successful sales)"
+      ", then finishing house is " << sales_quota << endl;
+/*`
+[pre
+If confidence of meeting quota is zero (we assume all houses are successful sales), then finishing house is 5
+If confidence of meeting quota is 0, then finishing house is 5
+]
+We can list quantiles for a few probabilities:
+*/
+
+    double ps[] = {0., 0.001, 0.01, 0.05, 0.1, 0.5, 0.9, 0.95, 0.99, 0.999, 1.};
+    // Confidence as fraction = 1-alpha, as percent =  100 * (1-alpha[i]) %
+    cout.precision(3);
+    for (unsigned i = 0; i < sizeof(ps)/sizeof(ps[0]); i++)
+    {
+      cout << "If confidence of meeting quota is " << ps[i]
+        << ", then finishing house is " << quantile(nb, ps[i]) + sales_quota
+        << endl;
+   }
+
+/*`
+[pre
+If confidence of meeting quota is 0, then finishing house is 5
+If confidence of meeting quota is 0.001, then finishing house is 5
+If confidence of meeting quota is 0.01, then finishing house is 5
+If confidence of meeting quota is 0.05, then finishing house is 6.2
+If confidence of meeting quota is 0.1, then finishing house is 7.06
+If confidence of meeting quota is 0.5, then finishing house is 11.3
+If confidence of meeting quota is 0.9, then finishing house is 17.8
+If confidence of meeting quota is 0.95, then finishing house is 20.1
+If confidence of meeting quota is 0.99, then finishing house is 24.8
+If confidence of meeting quota is 0.999, then finishing house is 31.1
+If confidence of meeting quota is 1, then finishing house is 1.#INF
+]
+
+We could have applied a ceil function to obtain a 'worst case' integer value for house.
+``ceil(quantile(nb, ps[i]))``
+
+Or, if we had used the default discrete quantile policy, integer_outside, by omitting
+``#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real``
+we would have achieved the same effect.
+
+The real result gives some suggestion which house is most likely.
+For example, compare the real and integer_outside for 95% confidence.
+
+[pre
+If confidence of meeting quota is 0.95, then finishing house is 20.1
+If confidence of meeting quota is 0.95, then finishing house is 21
+]
+The real value 20.1 is much closer to 20 than 21, so integer_outside is pessimistic.
+We could also use integer_round_nearest policy to suggest that 20 is more likely.
+
+Finally, we can tabulate the probability for the last sale being exactly on each house.
+*/
+   cout << "\nHouse for " << sales_quota << "th (last) sale.  Probability (%)" << endl;
+   cout.precision(5);
+   for (int i = (int)sales_quota; i < all_houses+1; i++)
+   {
+     cout << left << setw(3) << i << "                             " << setw(8) << cdf(nb, i - sales_quota)  << endl;
+   }
+   cout << endl;
+/*`
+[pre
+House for 5 th (last) sale.  Probability (%)
+5                               0.01024
+6                               0.04096
+7                               0.096256
+8                               0.17367
+9                               0.26657
+10                              0.3669
+11                              0.46723
+12                              0.56182
+13                              0.64696
+14                              0.72074
+15                              0.78272
+16                              0.83343
+17                              0.874
+18                              0.90583
+19                              0.93039
+20                              0.94905
+21                              0.96304
+22                              0.97342
+23                              0.98103
+24                              0.98655
+25                              0.99053
+26                              0.99337
+27                              0.99539
+28                              0.99681
+29                              0.9978
+30                              0.99849
+]
+
+As noted above, using a catch block is always a good idea, even if you do not expect to use it.
+*/
+  }
+  catch(const std::exception& e)
+  { // Since we have set an overflow policy of ignore_error,
+    // an overflow exception should never be thrown.
+     std::cout << "\nMessage from thrown exception was:\n " << e.what() << std::endl;
+/*`
+For example, without a ignore domain error policy, if we asked for ``pdf(nb, -1)`` for example, we would get:
+[pre
+Message from thrown exception was:
+ Error in function boost::math::pdf(const negative_binomial_distribution<double>&, double):
+ Number of failures argument is -1, but must be >= 0 !
+]
+*/
+//] [/ negative_binomial_eg1_2]
+  }
+   return 0;
+}  // int main()
+
+
+/*
+
+Output is:
+
+Selling candy bars - using the negative binomial distribution.
+by Dr. Diane Evans,
+Professor of Mathematics at Rose-Hulman Institute of Technology,
+see http://en.wikipedia.org/wiki/Negative_binomial_distribution
+Pat has a sales per house success rate of 0.4.
+Therefore he would, on average, sell 40 bars after trying 100 houses.
+With a success rate of 0.4, he might expect, on average,
+to need to visit about 12 houses in order to sell all 5 bars.
+Probability that Pat finishes on the 5th house is 0.01024
+Probability that Pat finishes on the 6th house is 0.03072
+Probability that Pat finishes on the 7th house is 0.055296
+Probability that Pat finishes on the 8th house is 0.077414
+Probability that Pat finishes on or before the 8th house is sum
+pdf(sales_quota) + pdf(6) + pdf(7) + pdf(8) = 0.17367
+Probability of selling his quota of 5 bars
+on or before the 8th house is 0.17367
+Probability that Pat finishes exactly on the 10th house is 0.10033
+Probability of selling his quota of 5 bars
+on or before the 10th house is 0.3669
+Probability that Pat finishes exactly on the 11th house is 0.10033
+Probability of selling his quota of 5 bars
+on or before the 11th house is 0.46723
+Probability that Pat finishes exactly on the 12th house is 0.094596
+Probability of selling his quota of 5 bars
+on or before the 12th house is 0.56182
+Probability that Pat finishes on the 30 house is 0.00069145
+Probability of selling his quota of 5 bars
+on or before the 30th house is 0.99849
+Probability of failing to sell his quota of 5 bars
+even after visiting all 30 houses is 0.0015101
+Probability of meeting sales quota on or before 8th house is 0.17367
+If the confidence of meeting sales quota is 0.17367, then the finishing house is 8
+ quantile(nb, p) = 3
+If the confidence of meeting sales quota is 1, then the finishing house is 1.#INF
+If the confidence of meeting sales quota is 0, then the finishing house is 5
+If the confidence of meeting sales quota is 0.5, then the finishing house is 11.337
+If the confidence of meeting sales quota is 0.99849, then the finishing house is 30
+If confidence of meeting quota is zero
+(we assume all houses are successful sales), then finishing house is 5
+If confidence of meeting quota is 0, then finishing house is 5
+If confidence of meeting quota is 0.001, then finishing house is 5
+If confidence of meeting quota is 0.01, then finishing house is 5
+If confidence of meeting quota is 0.05, then finishing house is 6.2
+If confidence of meeting quota is 0.1, then finishing house is 7.06
+If confidence of meeting quota is 0.5, then finishing house is 11.3
+If confidence of meeting quota is 0.9, then finishing house is 17.8
+If confidence of meeting quota is 0.95, then finishing house is 20.1
+If confidence of meeting quota is 0.99, then finishing house is 24.8
+If confidence of meeting quota is 0.999, then finishing house is 31.1
+If confidence of meeting quota is 1, then finishing house is 1.#J
+House for 5th (last) sale.  Probability (%)
+5                               0.01024
+6                               0.04096
+7                               0.096256
+8                               0.17367
+9                               0.26657
+10                              0.3669
+11                              0.46723
+12                              0.56182
+13                              0.64696
+14                              0.72074
+15                              0.78272
+16                              0.83343
+17                              0.874
+18                              0.90583
+19                              0.93039
+20                              0.94905
+21                              0.96304
+22                              0.97342
+23                              0.98103
+24                              0.98655
+25                              0.99053
+26                              0.99337
+27                              0.99539
+28                              0.99681
+29                              0.9978
+30                              0.99849
+
+*/
diff --git a/src/boost/libs/math/example/negative_binomial_example2.cpp b/src/boost/libs/math/example/negative_binomial_example2.cpp
new file mode 100644
index 00000000..601180c3
--- /dev/null
+++ b/src/boost/libs/math/example/negative_binomial_example2.cpp
@@ -0,0 +1,182 @@
+// negative_binomial_example2.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Simple example demonstrating use of the Negative Binomial Distribution.
+
+#include <boost/math/distributions/negative_binomial.hpp>
+  using boost::math::negative_binomial_distribution;
+  using boost::math::negative_binomial; // typedef
+
+// In a sequence of trials or events
+// (Bernoulli, independent, yes or no, succeed or fail)
+// with success_fraction probability p,
+// negative_binomial is the probability that k or fewer failures
+// preceed the r th trial's success.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+using std::setw;
+using std::left;
+using std::right;
+#include <limits>
+using std::numeric_limits;
+
+int main()
+{
+  cout << "Negative_binomial distribution - simple example 2" << endl;
+  // Construct a negative binomial distribution with:
+  // 8 successes (r), success fraction (p) 0.25 = 25% or 1 in 4 successes.
+  negative_binomial mynbdist(8, 0.25); // Shorter method using typedef.
+
+  // Display (to check) properties of the distribution just constructed.
+  cout << "mean(mynbdist) = " << mean(mynbdist) << endl; // 24
+  cout << "mynbdist.successes() = " << mynbdist.successes()  << endl; // 8
+  // r th successful trial, after k failures, is r + k th trial.
+  cout << "mynbdist.success_fraction() = " << mynbdist.success_fraction() << endl; 
+  // success_fraction = failures/successes or k/r = 0.25 or 25%. 
+  cout << "mynbdist.percent success  = " << mynbdist.success_fraction() * 100 << "%"  << endl;
+  // Show as % too.
+  // Show some cumulative distribution function values for failures k = 2 and 8
+  cout << "cdf(mynbdist, 2.) = " << cdf(mynbdist, 2.) << endl; // 0.000415802001953125
+  cout << "cdf(mynbdist, 8.) = " << cdf(mynbdist, 8.) << endl; // 0.027129956288263202
+  cout << "cdf(complement(mynbdist, 8.)) = " << cdf(complement(mynbdist, 8.)) << endl; // 0.9728700437117368
+  // Check that cdf plus its complement is unity.
+  cout << "cdf + complement = " << cdf(mynbdist, 8.) + cdf(complement(mynbdist, 8.))  << endl; // 1
+  // Note: No complement for pdf! 
+
+  // Compare cdf with sum of pdfs.
+  double sum = 0.; // Calculate the sum of all the pdfs,
+  int k = 20; // for 20 failures
+  for(signed i = 0; i <= k; ++i)
+  {
+    sum += pdf(mynbdist, double(i));
+  }
+  // Compare with the cdf
+  double cdf8 = cdf(mynbdist, static_cast<double>(k));
+  double diff = sum - cdf8; // Expect the diference to be very small.
+  cout << setprecision(17) << "Sum pdfs = " << sum << ' ' // sum = 0.40025683281803698
+  << ", cdf = " << cdf(mynbdist, static_cast<double>(k)) //  cdf = 0.40025683281803687
+  << ", difference = "  // difference = 0.50000000000000000
+  << setprecision(1) << diff/ (std::numeric_limits<double>::epsilon() * sum)
+  << " in epsilon units." << endl;
+
+  // Note: Use boost::math::tools::epsilon rather than std::numeric_limits
+  //  to cover RealTypes that do not specialize numeric_limits.
+
+//[neg_binomial_example2
+
+  // Print a table of values that can be used to plot
+  // using Excel, or some other superior graphical display tool.
+
+  cout.precision(17); // Use max_digits10 precision, the maximum available for a reference table.
+  cout << showpoint << endl; // include trailing zeros.
+  // This is a maximum possible precision for the type (here double) to suit a reference table.
+  int maxk = static_cast<int>(2. * mynbdist.successes() /  mynbdist.success_fraction());
+  // This maxk shows most of the range of interest, probability about 0.0001 to 0.999.
+  cout << "\n"" k            pdf                      cdf""\n" << endl;
+  for (int k = 0; k < maxk; k++)
+  {
+    cout << right << setprecision(17) << showpoint
+      << right << setw(3) << k  << ", "
+      << left << setw(25) << pdf(mynbdist, static_cast<double>(k))
+      << left << setw(25) << cdf(mynbdist, static_cast<double>(k))
+      << endl;
+  }
+  cout << endl;
+//] [/ neg_binomial_example2]
+  return 0;
+} // int main()
+
+/*
+
+Output is:
+
+negative_binomial distribution - simple example 2
+mean(mynbdist) = 24
+mynbdist.successes() = 8
+mynbdist.success_fraction() = 0.25
+mynbdist.percent success  = 25%
+cdf(mynbdist, 2.) = 0.000415802001953125
+cdf(mynbdist, 8.) = 0.027129956288263202
+cdf(complement(mynbdist, 8.)) = 0.9728700437117368
+cdf + complement = 1
+Sum pdfs = 0.40025683281803692 , cdf = 0.40025683281803687, difference = 0.25 in epsilon units.
+
+//[neg_binomial_example2_1
+ k            pdf                      cdf
+  0, 1.5258789062500000e-005  1.5258789062500003e-005  
+  1, 9.1552734375000000e-005  0.00010681152343750000   
+  2, 0.00030899047851562522   0.00041580200195312500   
+  3, 0.00077247619628906272   0.0011882781982421875    
+  4, 0.0015932321548461918    0.0027815103530883789    
+  5, 0.0028678178787231476    0.0056493282318115234    
+  6, 0.0046602040529251142    0.010309532284736633     
+  7, 0.0069903060793876605    0.017299838364124298     
+  8, 0.0098301179241389001    0.027129956288263202     
+  9, 0.013106823898851871     0.040236780187115073     
+ 10, 0.016711200471036140     0.056947980658151209     
+ 11, 0.020509200578089786     0.077457181236241013     
+ 12, 0.024354675686481652     0.10181185692272265      
+ 13, 0.028101548869017230     0.12991340579173993      
+ 14, 0.031614242477644432     0.16152764826938440      
+ 15, 0.034775666725408917     0.19630331499479325      
+ 16, 0.037492515688331451     0.23379583068312471      
+ 17, 0.039697957787645101     0.27349378847076977      
+ 18, 0.041352039362130305     0.31484582783290005      
+ 19, 0.042440250924291580     0.35728607875719176      
+ 20, 0.042970754060845245     0.40025683281803687      
+ 21, 0.042970754060845225     0.44322758687888220      
+ 22, 0.042482450037426581     0.48571003691630876      
+ 23, 0.041558918514873783     0.52726895543118257      
+ 24, 0.040260202311284021     0.56752915774246648      
+ 25, 0.038649794218832620     0.60617895196129912      
+ 26, 0.036791631035234917     0.64297058299653398      
+ 27, 0.034747651533277427     0.67771823452981139      
+ 28, 0.032575923312447595     0.71029415784225891      
+ 29, 0.030329307911589130     0.74062346575384819      
+ 30, 0.028054609818219924     0.76867807557206813      
+ 31, 0.025792141284492545     0.79447021685656061      
+ 32, 0.023575629142856460     0.81804584599941710      
+ 33, 0.021432390129869489     0.83947823612928651      
+ 34, 0.019383705779220189     0.85886194190850684      
+ 35, 0.017445335201298231     0.87630727710980494      
+ 36, 0.015628112784496322     0.89193538989430121      
+ 37, 0.013938587078064250     0.90587397697236549      
+ 38, 0.012379666154859701     0.91825364312722524      
+ 39, 0.010951243136991251     0.92920488626421649      
+ 40, 0.0096507830144735539    0.93885566927869002      
+ 41, 0.0084738582566109364    0.94732952753530097      
+ 42, 0.0074146259745345548    0.95474415350983555      
+ 43, 0.0064662435824429246    0.96121039709227851      
+ 44, 0.0056212231142827853    0.96683162020656122      
+ 45, 0.0048717266990450708    0.97170334690560634      
+ 46, 0.0042098073105878630    0.97591315421619418      
+ 47, 0.0036275999165703964    0.97954075413276465      
+ 48, 0.0031174686783026818    0.98265822281106729      
+ 49, 0.0026721160099737302    0.98533033882104104      
+ 50, 0.0022846591885275322    0.98761499800956853      
+ 51, 0.0019486798960970148    0.98956367790566557      
+ 52, 0.0016582516423517923    0.99122192954801736      
+ 53, 0.0014079495076571762    0.99262987905567457      
+ 54, 0.0011928461106539983    0.99382272516632852      
+ 55, 0.0010084971662802015    0.99483122233260868      
+ 56, 0.00085091948404891532   0.99568214181665760      
+ 57, 0.00071656377604119542   0.99639870559269883      
+ 58, 0.00060228420831048650   0.99700098980100937      
+ 59, 0.00050530624256557675   0.99750629604357488      
+ 60, 0.00042319397814867202   0.99792949002172360      
+ 61, 0.00035381791615708398   0.99828330793788067      
+ 62, 0.00029532382517950324   0.99857863176306016      
+ 63, 0.00024610318764958566   0.99882473495070978      
+//] [neg_binomial_example2_1 end of Quickbook]
+
+*/
diff --git a/src/boost/libs/math/example/neumann_zeros_example_1.cpp b/src/boost/libs/math/example/neumann_zeros_example_1.cpp
new file mode 100644
index 00000000..b8042d96
--- /dev/null
+++ b/src/boost/libs/math/example/neumann_zeros_example_1.cpp
@@ -0,0 +1,85 @@
+
+// Copyright Christopher Kormanyos 2013.
+// Copyright Paul A. Bristow 2013.
+// Copyright John Maddock 2013.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+//[neumann_zeros_example_1
+
+/*`[h5 Calculating zeros of the Neumann function.]
+This example also shows how Boost.Math and Boost.Multiprecision can be combined to provide
+a many decimal digit precision. For 50 decimal digit precision we need to include
+*/
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+/*`and a `typedef` for `float_type` may be convenient
+(allowing a quick switch to re-compute at built-in `double` or other precision)
+*/
+  typedef boost::multiprecision::cpp_dec_float_50 float_type;
+
+//`To use the functions for finding zeros of the `cyl_neumann` function we need:
+
+  #include <boost/math/special_functions/bessel.hpp>
+//] [/neumann_zerso_example_1]
+
+int main()
+{
+  try
+  {
+    {
+//[neumann_zeros_example_2
+/*`The Neumann (Bessel Y) function zeros are evaluated very similarly:
+*/
+    using boost::math::cyl_neumann_zero;
+    double zn = cyl_neumann_zero(2., 1);
+    std::cout << "cyl_neumann_zero(2., 1) = " << zn << std::endl;
+
+    std::vector<float> nzeros(3); // Space for 3 zeros.
+    cyl_neumann_zero<float>(2.F, 1, nzeros.size(), nzeros.begin());
+
+    std::cout << "cyl_neumann_zero<float>(2.F, 1, ";
+    // Print the zeros to the output stream.
+    std::copy(nzeros.begin(), nzeros.end(),
+              std::ostream_iterator<float>(std::cout, ", "));
+
+    std::cout << "\n""cyl_neumann_zero(static_cast<float_type>(220)/100, 1) = " 
+      << cyl_neumann_zero(static_cast<float_type>(220)/100, 1) << std::endl;
+    // 3.6154383428745996706772556069431792744372398748422
+
+//] //[/neumann_zeros_example_2]
+    }
+  }
+  catch (std::exception const& ex)
+  {
+    std::cout << "Thrown exception " << ex.what() << std::endl;
+  }
+} // int main()
+
+/*
+ Output:
+
+cyl_neumann_zero(2., 1) = 3.38424
+cyl_neumann_zero<float>(2.F, 1,
+3.38424
+6.79381
+10.0235
+3.61544
+*/
+
+
diff --git a/src/boost/libs/math/example/nonfinite_facet_simple.cpp b/src/boost/libs/math/example/nonfinite_facet_simple.cpp
new file mode 100644
index 00000000..3be01c2d
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_facet_simple.cpp
@@ -0,0 +1,269 @@
+/** nonfinite_num_facet.cpp
+*
+* Copyright (c) 2011 Paul A. Bristow
+*
+* Distributed under the Boost Software License, Version 1.0.
+* (See accompanying file LICENSE_1_0.txt
+* or copy at http://www.boost.org/LICENSE_1_0.txt)
+*
+* This very simple program illustrates how to use the
+* `boost/math/nonfinite_num_facets.hpp' to obtain C99
+* representation of infinity and NaN.
+* (from the original
+* Floating Point  Utilities contribution by Johan Rade.
+* Floating Point Utility library has been accepted into Boost,
+* but the utilities are incorporated into Boost.Math library.
+*
+\file
+
+\brief A very simple example of using non_finite_num facet for
+C99 standard output of infinity and NaN.
+
+\detail Provided infinity and nan are supported,
+this example shows how to create a C99 non-finite locale,
+and imbue input and output streams with the non_finite_num put and get facets.
+This allow output and input of infinity and NaN in a Standard portable way,
+This permits 'loop-back' of output back into input (and portably across different system too).
+This is particularly useful when used with Boost.Serialization so that non-finite NaNs and infinity
+values in text and xml archives can be handled correctly and portably.
+
+*/
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127)  // conditional expression is constant.
+#endif
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::cerr;
+
+#include <iomanip>
+using std::setw;
+using std::left;
+using std::right;
+using std::internal;
+
+#include <string>
+using std::string;
+
+#include <sstream>
+using std::istringstream;
+
+#include <limits>
+using std::numeric_limits;
+
+#include <locale>
+using std::locale;
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+// from Johan Rade Floating Point Utilities.
+
+int main ()
+{
+  std::cout << "Nonfinite_num_facet very simple example." << std::endl;
+
+  if((std::numeric_limits<double>::has_infinity == 0) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == 0) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  std::locale default_locale (std::locale::classic ()); // Note the currrent (default C) locale.
+
+  // Create plus and minus infinity.
+  double plus_infinity = +std::numeric_limits<double>::infinity();
+  double minus_infinity = -std::numeric_limits<double>::infinity();
+
+  // and create a NaN (NotANumber)
+  double NaN = +std::numeric_limits<double>::quiet_NaN ();
+
+  double negated_NaN = (boost::math::changesign)(std::numeric_limits<double>::quiet_NaN ());
+
+
+  // Output the nonfinite values using the current (default C) locale.
+  // The default representations differ from system to system,
+  // for example, using Microsoft compilers, 1.#INF, -1.#INF, and 1.#QNAN,
+  // Linux "inf", "-inf", "nan"
+  cout << "Using C locale" << endl;
+  cout << "+std::numeric_limits<double>::infinity() = " << plus_infinity << endl;
+  cout << "-std::numeric_limits<double>::infinity() = " << minus_infinity << endl;
+  cout << "+std::numeric_limits<double>::quiet_NaN () = " << NaN << endl;
+
+  // Display negated NaN.
+  cout << "negated NaN " << negated_NaN << endl; // "-1.IND" or "-nan".
+  
+  // Create a new output locale, and add the nonfinite_num_put facet
+  std::locale C99_out_locale (default_locale, new boost::math::nonfinite_num_put<char>);
+  // and imbue the cout stream with the new locale.
+  cout.imbue (C99_out_locale);
+
+  // Or for the same effect more concisely:
+  cout.imbue (locale(locale(), new boost::math::nonfinite_num_put<char>));
+
+  // Output using the new locale:
+  cout << "Using C99_out_locale " << endl;
+  cout << "+std::numeric_limits<double>::infinity() = " << plus_infinity << endl;
+  cout << "-std::numeric_limits<double>::infinity() = " << minus_infinity << endl;
+  cout << "+std::numeric_limits<double>::quiet_NaN () = " << NaN << endl;
+  // Expect "inf", "-inf", "nan".
+
+  // Display negated NaN.
+  cout << "negated NaN " << negated_NaN << endl; // Expect "-nan".
+
+  // Create a string with the expected C99 representation of plus infinity.
+  std::string inf = "inf";
+  { // Try to read an infinity value using the default C locale.
+    // Create an input stream which will provide "inf"
+    std::istringstream iss (inf);
+
+     // Create a double ready to take the input,
+    double infinity;
+    // and read "inf" from the stringstream:
+    iss >> infinity; 
+
+    // This will not work on all platforms!  (Intel-Linux-13.0.1 fails EXIT STATUS: 139)
+    if (! iss)
+    { // Reading infinity went wrong!
+      std::cerr << "C locale input format error!" << std::endl;
+    }
+  } // Using default C locale.
+
+  { // Now retry using C99 facets.
+  // Create a new input locale and add the nonfinite_num_get facet.
+  std::locale C99_in_locale (default_locale, new boost::math::nonfinite_num_get<char>);
+
+  // Create an input stream which will provide "inf".
+  std::istringstream iss (inf);
+  // Imbue the stream with the C99 input locale.
+  iss.imbue (C99_in_locale);
+
+  // Create a double ready to take the input,
+  double infinity;
+  // and read from the stringstream:
+  iss >> infinity; 
+
+  if (! iss)
+  { // Reading infinity went wrong!
+    std::cout << "C99 input format error!" << std::endl;
+  }
+  // Expect to get an infinity, which will display still using the C99 locale as "inf"
+  cout << "infinity in C99 representation is " << infinity << endl; 
+
+  // To check, we can switch back to the default C locale.
+  cout.imbue (default_locale);
+  cout <<  "infinity in default C representation is " << infinity << endl; 
+  } // using C99 locale.
+
+  {
+    // A 'loop-back example, output to a stringstream, and reading it back in.
+    // Create C99 input and output locales. 
+    std::locale C99_out_locale (default_locale, new boost::math::nonfinite_num_put<char>);
+    std::locale C99_in_locale (default_locale, new boost::math::nonfinite_num_get<char>);
+
+    std::ostringstream oss;
+    oss.imbue(C99_out_locale);
+    oss << plus_infinity;
+
+    std::istringstream iss(oss.str()); // So stream contains "inf".
+    iss.imbue (C99_in_locale);
+
+    std::string s;
+
+    iss >> s;
+
+    cout.imbue(C99_out_locale);
+    if (oss.str() != s)
+    {
+      cout << plus_infinity << " != " << s << " loopback failed!" << endl;
+    }
+    else
+    {
+      cout << plus_infinity << " == " << s << " as expected." << endl;
+    }
+  }
+
+
+  // Example varying the width and position of the nonfinite representations.
+  // With the nonfinite_num_put and _get facets, the width of the output is constant.
+
+  #ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined, so no max_digits10 available." << endl;
+  std::streamsize  max_digits10 = 2 + std::numeric_limits<double>::digits * 30103UL / 100000UL;
+#else
+  // Can use new C++0X max_digits10 (the maximum potentially significant digits).
+  std::streamsize  max_digits10 = std::numeric_limits<double>::max_digits10;
+#endif
+  cout << "std::numeric_limits<double>::max_digits10 is " << max_digits10 << endl;
+  cout.precision(max_digits10);
+
+  double pi = 3.141592653589793238462643383279502884197169399375105820974944;
+  // Expect 17 (probably) decimal digits (regardless of locale).
+  // cout has the default locale.
+  cout << "pi = " << pi << endl; // pi = 3.1415926535897931
+  cout.imbue (C99_out_locale); // Use cout with the C99 locale
+  // (expect the same output for a double).
+  cout << "pi = " << pi << endl; // pi = 3.1415926535897931
+
+  cout << "infinity in C99 representation is " << plus_infinity << endl; 
+
+  //int width = 2; // Check effect if width too small is OK.
+  // (There was a disturbed layout on older MSVC?).
+  int width = 20;
+
+  // Similarly if we can switch back to the default C locale.
+  cout.imbue (default_locale);
+  cout <<  "infinity in default C representation is " << plus_infinity << endl; 
+  cout <<  "infinity in default C representation (setw(" << width << ") is |" << setw(width) << plus_infinity <<'|' << endl; 
+  cout <<  "infinity in default C representation (setw(" << width << ") is |" << left << setw(width) << plus_infinity <<'|' << endl; 
+  cout <<  "infinity in default C representation (setw(" << width << ") is |" << internal << setw(width) << plus_infinity <<'|' << endl; 
+
+  cout.imbue (C99_out_locale);
+  cout << "infinity in C99 representation (setw(" << width << ") is |" << right << setw(width) << plus_infinity <<'|'<< endl; 
+  cout << "infinity in C99 representation (setw(" << width << ") is |" << left << setw(width) << plus_infinity <<'|'<< endl; 
+  cout << "infinity in C99 representation (setw(" << width << ") is |" << internal << setw(width) << plus_infinity <<'|'<< endl; 
+
+  return 0;
+} // int main()
+
+// end of test_nonfinite_num_facets.cpp
+
+/*
+
+Output:
+
+simple_nonfinite_facet.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\nonfinite_facet_simple.exe
+  Nonfinite_num_facet very simple example.
+  Using C locale
+  +std::numeric_limits<double>::infinity() = 1.#INF
+  -std::numeric_limits<double>::infinity() = -1.#INF
+  +std::numeric_limits<double>::quiet_NaN () = 1.#QNAN
+  Using C99_out_locale 
+  +std::numeric_limits<double>::infinity() = inf
+  -std::numeric_limits<double>::infinity() = -inf
+  +std::numeric_limits<double>::quiet_NaN () = nan
+  infinity in C99 representation is inf
+  infinity in default C representation is 1.#INF
+  3
+  3
+  inf == inf as expected.
+  std::numeric_limits<double>::max_digits10 is 17
+  pi = 3.1415926535897931
+  C locale input format error!
+  pi = 3.1415926535897931
+  infinity in C99 representation is inf
+  infinity in default C representation is 1.#INF
+  infinity in default C representation (setw(20) is               1.#INF|
+  infinity in default C representation (setw(20) is 1.#INF              |
+  infinity in default C representation (setw(20) is               1.#INF|
+  infinity in C99 representation (setw(20) is                  inf|
+  infinity in C99 representation (setw(20) is inf                 |
+  infinity in C99 representation (setw(20) is                  inf|
+
+*/
diff --git a/src/boost/libs/math/example/nonfinite_facet_sstream.cpp b/src/boost/libs/math/example/nonfinite_facet_sstream.cpp
new file mode 100644
index 00000000..9c44edb7
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_facet_sstream.cpp
@@ -0,0 +1,132 @@
+// nonfinite_facet_sstream.cpp
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow
+
+/*!
+\file
+\brief Examples of nonfinite with output and input facets and stringstreams.
+
+\detail Contruct a new locale with the nonfinite_num_put and nonfinite_num_get
+facets and imbue istringstream, ostringstream and stringstreams,
+showing output and input (and loopback for the stringstream).
+
+*/
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_put;
+using boost::math::nonfinite_num_get;
+
+using boost::math::legacy;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <locale>
+using std::locale;
+
+#include <sstream>
+using std::stringstream;
+using std::istringstream;
+using std::ostringstream;
+
+#include <limits>
+using std::numeric_limits;
+
+#include <assert.h>
+
+int main()
+{
+  //[nonfinite_facets_sstream_1
+  locale old_locale;
+  locale tmp_locale(old_locale, new nonfinite_num_put<char>);
+  locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  //] [/nonfinite_facets_sstream_1]
+
+  // Note that to add two facets,  nonfinite_num_put and nonfinite_num_get,
+  // you have to add one at a time, using a temporary locale.
+
+  {
+    ostringstream oss;
+    oss.imbue(new_locale);
+    double inf = numeric_limits<double>::infinity();
+    oss << inf; // Write out.
+    cout << "infinity output was " << oss.str() << endl;
+    BOOST_ASSERT(oss.str() == "inf");
+  }
+  {
+    istringstream iss;
+    iss.str("inf");
+    iss.imbue(new_locale);
+    double inf;
+    iss >> inf; // Read from "inf"
+    cout << "Infinity input was " << iss.str() << endl;
+    BOOST_ASSERT(inf == numeric_limits<double>::infinity());
+  }
+
+  {
+    //[nonfinite_facets_sstream_2
+    stringstream ss;
+    ss.imbue(new_locale);
+    double inf = numeric_limits<double>::infinity();
+    ss << inf; // Write out.
+    BOOST_ASSERT(ss.str() == "inf");
+    double r;
+    ss >> r; // Read back in.
+    BOOST_ASSERT(inf == r); // Confirms that the double values really are identical.
+
+    cout << "infinity output was " << ss.str() << endl;
+    cout << "infinity input was " << r << endl;
+    // But the string representation of r displayed will be the native type
+    // because, when it was constructed, cout had NOT been imbued
+    // with the new locale containing the nonfinite_numput facet.
+    // So the cout output will be "1.#INF on MS platforms
+    // and may be "inf" or other string representation on other platforms.
+
+    //] [/nonfinite_facets_sstream_2]
+  }
+
+  {
+    stringstream ss;
+    ss.imbue(new_locale);
+
+    double nan = numeric_limits<double>::quiet_NaN();
+    ss << nan; // Write out.
+    BOOST_ASSERT(ss.str() == "nan");
+
+    double v;
+    ss >> v; // Read back in.
+
+    cout << "NaN output was " << ss.str() << endl;
+    cout << "NaN input was " << v << endl;
+
+    // assert(nan == v); // Always fails because NaN == NaN fails!
+    // assert(nan == numeric_limits<double>::quiet_NaN()); asserts!
+
+    // And the string representation will be the native type
+    // because cout has NOT been imbued with a locale containing
+    // the nonfinite_numput facet.
+    // So the output will be "1.#QNAN on MS platforms
+    // and may be "nan" or other string representation on other platforms.
+  }
+
+} // int main()
+
+
+/*
+//[nonfinite_facet_sstream_output
+
+infinity output was inf
+Infinity input was inf
+infinity output was inf
+infinity input was 1.#INF
+NaN output was nan
+NaN input was 1.#QNAN
+
+//] [nonfinite_facet_sstream_output]
+*/
+
diff --git a/src/boost/libs/math/example/nonfinite_legacy.cpp b/src/boost/libs/math/example/nonfinite_legacy.cpp
new file mode 100644
index 00000000..2e73fc2f
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_legacy.cpp
@@ -0,0 +1,94 @@
+// nonfinite_legacy.cpp
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow
+
+/*!
+\file
+\brief Basic tests of nonfinite loopback with output and input facet.
+
+\detail Basic loopback test outputs using the so-called 'legacy' facets,
+"1.#INF"  and "1.#QNAN".
+
+and reads back in using nonfinite input 'legacy' facet, and
+(if possible) checks if loopback OK.
+
+*/
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_put;
+using boost::math::nonfinite_num_get;
+
+using boost::math::legacy;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+
+#include <iomanip>
+using std::setfill;
+using std::setw;
+
+#include <locale>
+using std::locale;
+
+#include <sstream>
+using std::stringstream;
+#include <limits>
+using std::numeric_limits;
+
+#include <assert.h>
+
+int main()
+{
+  // Create a new locale with both the nonfinite facets.
+  std::locale new_locale(std::locale(std::locale(),
+    new boost::math::nonfinite_num_put<char>),
+    new boost::math::nonfinite_num_get<char>);
+
+  {
+    stringstream ss;
+    ss.imbue(new_locale);
+    double inf = numeric_limits<double>::infinity();
+    ss << inf; // Write out.
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "infinity output was " << inf << endl;
+    cout << "infinity input was " << r << endl;
+
+    BOOST_ASSERT(inf == r);
+  }
+  {
+    stringstream ss;
+    ss.imbue(new_locale);
+
+    double nan = numeric_limits<double>::quiet_NaN();
+    ss << nan; // Write out.
+    double v;
+    ss >> v; // Read back in.
+
+    cout << "NaN output was " << nan << endl;
+    cout << "NaN input was " << v << endl;
+
+    // BOOST_ASSERT(nan == v); // Always fails because NaN == NaN fails!
+    // BOOST_ASSERT(nan == numeric_limits<double>::quiet_NaN()); asserts!
+  }
+
+} // int main()
+
+/*
+
+Output:
+
+infinity output was 1.#INF
+infinity input was 1.#INF
+NaN output was 1.#QNAN
+NaN input was 1.#QNAN
+
+*/
+
diff --git a/src/boost/libs/math/example/nonfinite_loopback_ok.cpp b/src/boost/libs/math/example/nonfinite_loopback_ok.cpp
new file mode 100644
index 00000000..70ccd24b
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_loopback_ok.cpp
@@ -0,0 +1,89 @@
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow
+
+/*!
+\file
+\brief Basic tests of nonfinite loopback.
+
+\detail Basic loopback test outputs using nonfinite facets
+(output and input) and reads back in, and checks if loopback OK.
+
+Expected to work portably on all platforms.
+
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#   pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_get;
+using boost::math::nonfinite_num_put;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+
+#include <locale>
+using std::locale;
+
+#include <sstream>
+using std::stringstream;
+#include <limits>
+using std::numeric_limits;
+
+#include <assert.h>
+
+int main()
+{
+
+  if((std::numeric_limits<double>::has_infinity == false) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == false) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+  //locale old_locale; // Current global locale.
+  //  Create tmp_locale and store the output nonfinite_num_put facet in it.
+  //locale tmp_locale(old_locale, new nonfinite_num_put<char>);
+  //  Create new_locale and store the input nonfinite_num_get facet in it.
+  //locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  //  Can only add one facet at a time, hence need a tmp_locale,
+  //  unless we write:
+
+  std::locale new_locale(std::locale(std::locale(std::locale(),
+    new boost::math::nonfinite_num_put<char>),
+    new boost::math::nonfinite_num_get<char>));
+
+  stringstream ss; // Both input and output, so need both get and put facets.
+
+  ss.imbue(new_locale);
+
+  double inf = numeric_limits<double>::infinity();
+  ss << inf; // Write out.
+  double r;
+  ss >> r; // Read back in.
+
+  BOOST_ASSERT(inf == r); // OK MSVC <= 10.0!
+
+} // int main()
+
+/*
+
+Output:
+
+nonfinite_loopback_ok.vcxproj -> J:\Cpp\fp_facet\fp_facet\Debug\nonfinite_loopback_ok.exe
+
+*/
+
+
diff --git a/src/boost/libs/math/example/nonfinite_num_facet.cpp b/src/boost/libs/math/example/nonfinite_num_facet.cpp
new file mode 100644
index 00000000..80e4e814
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_num_facet.cpp
@@ -0,0 +1,291 @@
+/** nonfinite_num_facet.cpp
+ *
+ * Copyright (c) 2011 Francois Mauger
+ * Copyright (c) 2011 Paul A. Bristow
+ *
+ * Distributed under the Boost Software License, Version 1.0.
+ * (See accompanying file LICENSE_1_0.txt
+ * or copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * This simple program illustrates how to use the
+ * `boost/math/nonfinite_num_facets.hpp' material from the original
+ * Floating Point  Utilities contribution by Johan Rade.
+ * Floating Point Utility library has been accepted into Boost,
+ * but the utilities have been/will be incorporated into Boost.Math library.
+ *
+\file
+
+\brief A fairly simple example of using non_finite_num facet for
+C99 standard output of infinity and NaN.
+
+\detail  This program illustrates how to use the
+ `boost/math/nonfinite_num_facets.hpp' material from the original
+  Floating Point  Utilities contribution by Johan Rade.
+  Floating Point Utility library has been accepted into Boost,
+  but the utilities have been/will be incorporated into Boost.Math library.
+
+  Based on an example from Francois Mauger.
+
+  Double and float variables are assigned ordinary finite values (pi),
+  and nonfinite like infinity and NaN.
+
+  These values are then output and read back in, and then redisplayed.
+  
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+
+#include <limits> // numeric_limits
+using std::numeric_limits;
+
+#include <boost/cstdint.hpp>
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+static const char sep = ','; // Separator of bracketed float and double values.
+
+// Use max_digits10 (or equivalent) to obtain 
+// all potentially significant decimal digits for the floating-point types.
+    
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::streamsize  max_digits10_float = 2 + std::numeric_limits<float>::digits * 30103UL / 100000UL;
+  std::streamsize  max_digits10_double = 2 + std::numeric_limits<double>::digits * 30103UL / 100000UL;
+#else
+  // Can use new C++0X max_digits10 (the maximum potentially significant digits).
+  std::streamsize  max_digits10_float = std::numeric_limits<float>::max_digits10;
+  std::streamsize  max_digits10_double = std::numeric_limits<double>::max_digits10;
+#endif
+
+
+/* A class with a float and a double */
+struct foo
+{
+  foo () : fvalue (3.1415927F), dvalue (3.1415926535897931)
+  {
+  }
+  // Set both the values to -infinity :
+  void minus_infinity ()
+  {
+    fvalue = -std::numeric_limits<float>::infinity ();
+    dvalue = -std::numeric_limits<double>::infinity ();
+    return;
+  }
+  // Set the values to +infinity :
+  void plus_infinity ()
+  {
+    fvalue = +std::numeric_limits<float>::infinity ();
+    dvalue = +std::numeric_limits<double>::infinity ();
+    return;
+  }
+  // Set the values to NaN :
+  void nan ()
+  {
+    fvalue = +std::numeric_limits<float>::quiet_NaN ();
+    dvalue = +std::numeric_limits<double>::quiet_NaN ();
+    return;
+  }
+  // Print a foo:
+  void print (std::ostream & a_out, const std::string & a_title)
+  {
+    if (a_title.empty ()) a_out << "foo";
+    else a_out << a_title;
+    a_out << " : " << std::endl;
+    a_out << "|-- " << "fvalue = ";
+    
+    a_out.precision (max_digits10_float);
+    a_out << fvalue << std::endl;
+    a_out << "`-- " << "dvalue = ";
+    a_out.precision (max_digits10_double);
+    a_out << dvalue << std::endl;
+    return;
+  }
+
+  // I/O operators for a foo structure of a float and a double :
+  friend std::ostream & operator<< (std::ostream & a_out, const foo & a_foo);
+  friend std::istream & operator>> (std::istream & a_in, foo & a_foo);
+
+  // Attributes :
+  float  fvalue; // Single precision floating number.
+  double dvalue; // Double precision floating number.
+};
+
+std::ostream & operator<< (std::ostream & a_out, const foo & a_foo)
+{ // Output bracketed FPs, for example "(3.1415927,3.1415926535897931)"
+  a_out.precision (max_digits10_float);
+  a_out << "(" << a_foo.fvalue << sep ;
+  a_out.precision (max_digits10_double);
+  a_out << a_foo.dvalue << ")";
+  return a_out;
+}
+
+std::istream & operator>> (std::istream & a_in, foo & a_foo)
+{ // Input bracketed floating-point values into a foo structure,
+  // for example from "(3.1415927,3.1415926535897931)"
+  char c = 0;
+  a_in.get (c);
+  if (c != '(')
+  {
+    std::cerr << "ERROR: operator>> No ( " << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  float f;
+  a_in >> std::ws >> f;
+  if (! a_in)
+  {
+    return a_in;
+  }
+  a_in >> std::ws;
+  a_in.get (c);
+  if (c != sep)
+  {
+    std::cerr << "ERROR: operator>> c='" << c << "'" << std::endl;
+    std::cerr << "ERROR: operator>> No '" << sep << "'" << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  double d;
+  a_in >> std::ws >> d;
+  if (! a_in)
+  {
+    return a_in;
+  }
+  a_in >> std::ws;
+  a_in.get (c);
+  if (c != ')')
+  {
+    std::cerr << "ERROR: operator>> No ) " << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  a_foo.fvalue = f;
+  a_foo.dvalue = d;
+  return a_in;
+} // std::istream & operator>> (std::istream & a_in, foo & a_foo)
+
+int main ()
+{
+  std::cout << "nonfinite_num_facet simple example." << std::endl;
+
+   if((std::numeric_limits<double>::has_infinity == false) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == false) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined, so no max_digits10 available either:"
+     "\n we'll have to calculate our own version." << endl;
+#endif
+  std::cout << "std::numeric_limits<float>::max_digits10 is " << max_digits10_float << endl;
+  std::cout << "std::numeric_limits<double>::max_digits10 is " << max_digits10_double << endl;
+
+   std::locale the_default_locale (std::locale::classic ());
+
+  {
+    std::cout << "Write to a string buffer (using default locale) :" << std::endl;
+    foo f0; // pi
+    foo f1; f1.minus_infinity ();
+    foo f2; f2.plus_infinity ();
+    foo f3; f3.nan ();
+
+    f0.print (std::cout, "f0"); // pi
+    f1.print (std::cout, "f1"); // +inf
+    f2.print (std::cout, "f2"); // -inf
+    f3.print (std::cout, "f3"); // NaN
+
+    std::ostringstream oss;
+    std::locale C99_out_locale (the_default_locale, new boost::math::nonfinite_num_put<char>);
+    oss.imbue (C99_out_locale);
+    oss.precision (15);
+    oss << f0 << f1 << f2 << f3;
+    std::cout << "Output in C99 format is: \"" << oss.str () << "\"" << std::endl;
+    std::cout << "Output done." << std::endl;
+  }
+
+  {
+    std::string the_string = "(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)"; // C99 format
+    // Must have correct separator!
+    std::cout << "Read C99 format from a string buffer containing \"" << the_string << "\""<< std::endl;
+
+    std::locale C99_in_locale (the_default_locale, new boost::math::nonfinite_num_get<char>);
+    std::istringstream iss (the_string);
+    iss.imbue (C99_in_locale);
+
+    foo f0, f1, f2, f3;
+    iss >> f0 >> f1 >> f2 >> f3;
+    if (! iss)
+    {
+       std::cerr << "Input Format error !" << std::endl;
+    }
+    else
+    {
+      std::cerr << "Input OK." << std::endl;
+      cout << "Display in default locale format " << endl;
+      f0.print (std::cout, "f0");
+      f1.print (std::cout, "f1");
+      f2.print (std::cout, "f2");
+      f3.print (std::cout, "f3");
+    }
+    std::cout << "Input done." << std::endl;
+  }
+  
+  std::cout << "End nonfinite_num_facet.cpp" << std::endl;
+  return 0;
+} // int main()
+
+ // end of test_nonfinite_num_facets.cpp
+
+/*
+
+Output:
+
+nonfinite_num_facet simple example.
+  std::numeric_limits<float>::max_digits10 is 8
+  std::numeric_limits<double>::max_digits10 is 17
+  Write to a string buffer (using default locale) :
+  f0 : 
+  |-- fvalue = 3.1415927
+  `-- dvalue = 3.1415926535897931
+  f1 : 
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 : 
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 : 
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Output in C99 format is: "(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)"
+  Output done.
+  Read C99 format from a string buffer containing "(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)"
+  Display in default locale format 
+  f0 : 
+  |-- fvalue = 3.1415927
+  `-- dvalue = 3.1415926535897931
+  f1 : 
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 : 
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 : 
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Input done.
+  End nonfinite_num_facet.cpp
+
+*/
diff --git a/src/boost/libs/math/example/nonfinite_num_facet_serialization.cpp b/src/boost/libs/math/example/nonfinite_num_facet_serialization.cpp
new file mode 100644
index 00000000..e2972a10
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_num_facet_serialization.cpp
@@ -0,0 +1,433 @@
+/** nonfinite_num_facet_serialization.cpp
+ *
+ * Copyright (c) 2011 Francois Mauger
+ * Copyright (c) 2011 Paul A. Bristow
+ *
+ * Distributed under the Boost Software License, Version 1.0.
+ * (See accompanying file LICENSE_1_0.txt
+ * or copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * This sample program by Francois Mauger illustrates how to use the
+ * `boost/math/nonfinite_num_facets.hpp'  material  from the  original
+ * Floating Point  Utilities contribution by  Johan Rade.  Here  it is
+ * shown  how  non  finite  floating  number  can  be  serialized  and
+ * deserialized from  I/O streams and/or Boost  text/XML archives.  It
+ * produces two archives stored in `test.txt' and `test.xml' files.
+ *
+ * Tested with Boost 1.44, gcc 4.4.1, Linux/i686 (32bits).
+ * Tested with Boost.1.46.1  MSVC 10.0 32 bit.
+ */
+
+#ifdef _MSC_VER
+#   pragma warning(push)
+//#   pragma warning(disable : 4100) // unreferenced formal parameter.
+#endif
+
+#include <iostream>
+#include <sstream>
+#include <fstream>
+#include <limits>
+
+#include <boost/cstdint.hpp>
+#include <boost/serialization/nvp.hpp>
+#include <boost/archive/text_oarchive.hpp>
+#include <boost/archive/text_iarchive.hpp>
+#include <boost/archive/xml_oarchive.hpp>
+#include <boost/archive/xml_iarchive.hpp>
+#include <boost/archive/codecvt_null.hpp>
+
+// from the Floating Point Utilities :
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+static const char sep = ','; // Separator of bracketed float and double values.
+
+// Use max_digits10 (or equivalent) to obtain
+// all potentially significant decimal digits for the floating-point types.
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::streamsize  max_digits10_float = 2 + std::numeric_limits<float>::digits * 30103UL / 100000UL;
+  std::streamsize  max_digits10_double = 2 + std::numeric_limits<double>::digits * 30103UL / 100000UL;
+#else
+  // Can use new C++0X max_digits10 (the maximum potentially significant digits).
+  std::streamsize  max_digits10_float = std::numeric_limits<float>::max_digits10;
+  std::streamsize  max_digits10_double = std::numeric_limits<double>::max_digits10;
+#endif
+
+
+/* A class with a float and a double */
+struct foo
+{
+  foo () : fvalue (3.1415927F), dvalue (3.1415926535897931)
+  { // Construct using 32 and 64-bit max_digits10 decimal digits value of pi.
+  }
+  // Set the values at -infinity :
+  void minus_infinity ()
+  {
+    fvalue = -std::numeric_limits<float>::infinity ();
+    dvalue = -std::numeric_limits<double>::infinity ();
+    return;
+  }
+  // Set the values at +infinity :
+  void plus_infinity ()
+  {
+    fvalue = +std::numeric_limits<float>::infinity ();
+    dvalue = +std::numeric_limits<double>::infinity ();
+    return;
+  }
+  // Set the values at NaN :
+  void nan ()
+  {
+    fvalue = +std::numeric_limits<float>::quiet_NaN ();
+    dvalue = +std::numeric_limits<double>::quiet_NaN ();
+    return;
+  }
+  // Print :
+  void print (std::ostream & a_out, const std::string & a_title)
+  {
+    if (a_title.empty ()) a_out << "foo";
+    else a_out << a_title;
+    a_out << " : " << std::endl;
+    a_out << "|-- " << "fvalue = ";
+    a_out.precision (7);
+    a_out << fvalue << std::endl;
+    a_out << "`-- " << "dvalue = ";
+    a_out.precision (15);
+    a_out << dvalue << std::endl;
+    return;
+  }
+
+  // I/O operators :
+  friend std::ostream & operator<< (std::ostream & a_out, const foo & a_foo);
+  friend std::istream & operator>> (std::istream & a_in, foo & a_foo);
+
+  // Boost serialization :
+  template <class Archive>
+  void serialize (Archive & ar, int /*version*/)
+  {
+    ar & BOOST_SERIALIZATION_NVP (fvalue);
+    ar & BOOST_SERIALIZATION_NVP (dvalue);
+    return;
+  }
+
+  // Attributes :
+  float  fvalue; // Single precision floating-point number.
+  double dvalue; // Double precision floating-point number.
+};
+
+std::ostream & operator<< (std::ostream & a_out, const foo & a_foo)
+{ // Output bracketed FPs, for example "(3.1415927,3.1415926535897931)"
+  a_out.precision (max_digits10_float);
+  a_out << "(" << a_foo.fvalue << sep ;
+  a_out.precision (max_digits10_double);
+  a_out << a_foo.dvalue << ")";
+  return a_out;
+}
+
+std::istream & operator>> (std::istream & a_in, foo & a_foo)
+{ // Input bracketed floating-point values into a foo structure,
+  // for example from "(3.1415927,3.1415926535897931)"
+  char c = 0;
+  a_in.get (c);
+  if (c != '(')
+  {
+    std::cerr << "ERROR: operator>> No ( " << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  float f;
+  a_in >> std::ws >> f;
+  if (! a_in)
+  {
+    return a_in;
+  }
+  a_in >> std::ws;
+  a_in.get (c);
+  if (c != sep)
+  {
+    std::cerr << "ERROR: operator>> c='" << c << "'" << std::endl;
+    std::cerr << "ERROR: operator>> No '" << sep << "'" << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  double d;
+  a_in >> std::ws >> d;
+  if (! a_in)
+  {
+    return a_in;
+  }
+  a_in >> std::ws;
+  a_in.get (c);
+  if (c != ')')
+  {
+    std::cerr << "ERROR: operator>> No ) " << std::endl;
+    a_in.setstate(std::ios::failbit);
+    return a_in;
+  }
+  a_foo.fvalue = f;
+  a_foo.dvalue = d;
+  return a_in;
+}
+
+int main (void)
+{
+  std::clog << std::endl
+      << "Nonfinite_serialization.cpp' example program." << std::endl;
+
+#ifdef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::cout << "BOOST_NO_CXX11_NUMERIC_LIMITS is defined, so no max_digits10 available either,"
+     "using our own version instead." << std::endl;
+#endif
+  std::cout << "std::numeric_limits<float>::max_digits10 is " << max_digits10_float << std::endl;
+  std::cout << "std::numeric_limits<double>::max_digits10 is " << max_digits10_double << std::endl;
+
+  std::locale the_default_locale (std::locale::classic (),
+          new boost::archive::codecvt_null<char>);
+
+  // Demonstrate use of nonfinite facets with stringstreams.
+  {
+    std::clog << "Construct some foo structures with a finite and nonfinites." << std::endl;
+    foo f0;
+    foo f1; f1.minus_infinity ();
+    foo f2; f2.plus_infinity ();
+    foo f3; f3.nan ();
+    // Display them.
+    f0.print (std::clog, "f0");
+    f1.print (std::clog, "f1");
+    f2.print (std::clog, "f2");
+    f3.print (std::clog, "f3");
+    std::clog << " Write to a string buffer." << std::endl;
+
+    std::ostringstream oss;
+    std::locale the_out_locale (the_default_locale, new boost::math::nonfinite_num_put<char>);
+    oss.imbue (the_out_locale);
+    oss.precision (max_digits10_double);
+    oss << f0 << f1 << f2 << f3;
+    std::clog << "Output is: `" << oss.str () << "'" << std::endl;
+    std::clog << "Done output to ostringstream." << std::endl;
+  }
+
+  {
+    std::clog << "Read foo structures from a string buffer." << std::endl;
+
+    std::string the_string = "(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)";
+    std::clog << "Input is: `" << the_string << "'" << std::endl;
+
+    std::locale the_in_locale (the_default_locale, new boost::math::nonfinite_num_get<char>);
+    std::istringstream iss (the_string);
+    iss.imbue (the_in_locale);
+
+    foo f0, f1, f2, f3;
+    iss >> f0 >> f1 >> f2 >> f3;
+    if (! iss)
+    {
+      std::cerr << "Format error !" << std::endl;
+    }
+    else
+    {
+      std::cerr << "Read OK." << std::endl;
+      f0.print (std::clog, "f0");
+      f1.print (std::clog, "f1");
+      f2.print (std::clog, "f2");
+      f3.print (std::clog, "f3");
+    }
+    std::clog << "Done input from istringstream." << std::endl;
+  }
+
+  {  // Demonstrate use of nonfinite facets for Serialization with Boost text archives.
+    std::clog << "Serialize (using Boost text archive)." << std::endl;
+    // Construct some foo structures with a finite and nonfinites.
+    foo f0;
+    foo f1; f1.minus_infinity ();
+    foo f2; f2.plus_infinity ();
+    foo f3; f3.nan ();
+    // Display them.
+    f0.print (std::clog, "f0");
+    f1.print (std::clog, "f1");
+    f2.print (std::clog, "f2");
+    f3.print (std::clog, "f3");
+
+    std::locale the_out_locale (the_default_locale, new boost::math::nonfinite_num_put<char>);
+    // Use a temporary folder .temps (which contains "boost-no-inspect" so that it will not be inspected, and made 'hidden' too).
+    std::ofstream fout ("./.temps/nonfinite_archive_test.txt");
+    fout.imbue (the_out_locale);
+    boost::archive::text_oarchive toar (fout, boost::archive::no_codecvt);
+    // Write to archive.
+    toar & f0;
+    toar & f1;
+    toar & f2;
+    toar & f3;
+    std::clog << "Done." << std::endl;
+  }
+
+  {
+    std::clog << "Deserialize (Boost text archive)..." << std::endl;
+    std::locale the_in_locale (the_default_locale, new boost::math::nonfinite_num_get<char>);
+     // Use a temporary folder .temps (which contains "boost-no-inspect" so that it will not be inspected, and made 'hidden' too).
+    std::ifstream fin ("./.temps/nonfinite_archive_test.txt");
+    fin.imbue (the_in_locale);
+    boost::archive::text_iarchive tiar (fin, boost::archive::no_codecvt);
+    foo f0, f1, f2, f3;
+    // Read from archive.
+    tiar & f0;
+    tiar & f1;
+    tiar & f2;
+    tiar & f3;
+    // Display foos.
+    f0.print (std::clog, "f0");
+    f1.print (std::clog, "f1");
+    f2.print (std::clog, "f2");
+    f3.print (std::clog, "f3");
+
+    std::clog << "Done." << std::endl;
+  }
+
+  {   // Demonstrate use of nonfinite facets for Serialization with Boost XML Archive.
+    std::clog << "Serialize (Boost XML archive)..." << std::endl;
+    // Construct some foo structures with a finite and nonfinites.
+    foo f0;
+    foo f1; f1.minus_infinity ();
+    foo f2; f2.plus_infinity ();
+    foo f3; f3.nan ();
+     // Display foos.
+    f0.print (std::clog, "f0");
+    f1.print (std::clog, "f1");
+    f2.print (std::clog, "f2");
+    f3.print (std::clog, "f3");
+
+    std::locale the_out_locale (the_default_locale, new boost::math::nonfinite_num_put<char>);
+      // Use a temporary folder /.temps (which contains "boost-no-inspect" so that it will not be inspected, and made 'hidden' too).
+    std::ofstream fout ("./.temps/nonfinite_XML_archive_test.txt");
+    fout.imbue (the_out_locale);
+    boost::archive::xml_oarchive xoar (fout, boost::archive::no_codecvt);
+
+    xoar & BOOST_SERIALIZATION_NVP (f0);
+    xoar & BOOST_SERIALIZATION_NVP (f1);
+    xoar & BOOST_SERIALIZATION_NVP (f2);
+    xoar & BOOST_SERIALIZATION_NVP (f3);
+    std::clog << "Done." << std::endl;
+  }
+
+  {
+    std::clog << "Deserialize (Boost XML archive)..." << std::endl;
+    std::locale the_in_locale (the_default_locale, new boost::math::nonfinite_num_get<char>);
+    // Use a temporary folder /.temps (which contains "boost-no-inspect" so that it will not be inspected, and made 'hidden' too).
+    std::ifstream fin ("./.temps/nonfinite_XML_archive_test.txt");  // Previously written above.
+    fin.imbue (the_in_locale);
+    boost::archive::xml_iarchive xiar (fin, boost::archive::no_codecvt);
+    foo f0, f1, f2, f3;
+
+    xiar & BOOST_SERIALIZATION_NVP (f0);
+    xiar & BOOST_SERIALIZATION_NVP (f1);
+    xiar & BOOST_SERIALIZATION_NVP (f2);
+    xiar & BOOST_SERIALIZATION_NVP (f3);
+
+    f0.print (std::clog, "f0");
+    f1.print (std::clog, "f1");
+    f2.print (std::clog, "f2");
+    f3.print (std::clog, "f3");
+
+    std::clog << "Done." << std::endl;
+  }
+
+  std::clog << "End nonfinite_serialization.cpp' example program." << std::endl;
+  return 0;
+}
+
+/*
+
+Output:
+
+  Nonfinite_serialization.cpp' example program.
+  std::numeric_limits<float>::max_digits10 is 8
+  std::numeric_limits<double>::max_digits10 is 17
+  Construct some foo structures with a finite and nonfinites.
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+   Write to a string buffer.
+  Output is: `(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)'
+  Done output to ostringstream.
+  Read foo structures from a string buffer.
+  Input is: `(3.1415927,3.1415926535897931)(-inf,-inf)(inf,inf)(nan,nan)'
+  Read OK.
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Done input from istringstream.
+  Serialize (using Boost text archive).
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Done.
+  Deserialize (Boost text archive)...
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Done.
+  Serialize (Boost XML archive)...
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Done.
+  Deserialize (Boost XML archive)...
+  f0 :
+  |-- fvalue = 3.141593
+  `-- dvalue = 3.14159265358979
+  f1 :
+  |-- fvalue = -1.#INF
+  `-- dvalue = -1.#INF
+  f2 :
+  |-- fvalue = 1.#INF
+  `-- dvalue = 1.#INF
+  f3 :
+  |-- fvalue = 1.#QNAN
+  `-- dvalue = 1.#QNAN
+  Done.
+  End nonfinite_serialization.cpp' example program.
+
+  */
diff --git a/src/boost/libs/math/example/nonfinite_num_facet_trap.cpp b/src/boost/libs/math/example/nonfinite_num_facet_trap.cpp
new file mode 100644
index 00000000..9a4b2d58
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_num_facet_trap.cpp
@@ -0,0 +1,115 @@
+
+/** nonfinite_num_facet_trap.cpp
+*
+* Copyright (c) 2012 Paul A. Bristow
+*
+* Distributed under the Boost Software License, Version 1.0.
+* (See accompanying file LICENSE_1_0.txt
+* or copy at http://www.boost.org/LICENSE_1_0.txt)
+*
+* This very simple program illustrates how to use the
+* `boost/math/nonfinite_num_facets.hpp` trapping output of infinity and/or NaNs.
+*
+\file
+
+\brief A very simple example of using non_finite_num facet for
+trapping output of infinity and/or NaNs.
+
+\note To actually get an exception throw by the iostream library
+one must enable exceptions.
+  `oss.exceptions(std::ios_base::failbit | std::ios_base::badbit);`
+\note Which bit is set is implementation dependent, so enable exceptions for both.
+
+This is a fairly brutal method of catching nonfinites on output,
+but may suit some applications.
+
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4127) // conditional expression is constant.
+// assumes C++ exceptions enabled /EHsc
+#endif
+
+#include <boost/cstdint.hpp>
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::hex;
+#include <exception>
+#include <limits> // numeric_limits
+using std::numeric_limits;
+
+int main()
+{
+  using namespace boost::math;
+
+  std::cout << "nonfinite_num_facet_trap.cpp" << std::endl;
+
+  const double inf = +std::numeric_limits<double>::infinity ();
+  const double nan = +std::numeric_limits<double>::quiet_NaN ();
+
+  { // Output infinity and NaN with default flags (no trapping).
+    std::ostringstream oss;
+    std::locale default_locale (std::locale::classic ());
+    std::locale C99_out_locale (default_locale, new boost::math::nonfinite_num_put<char>);
+    oss.imbue (C99_out_locale);
+    oss.exceptions(std::ios_base::failbit | std::ios_base::badbit);
+    oss << inf <<  ' ' << nan;
+    cout << "oss.rdstate()  = " << hex << oss.rdstate() << endl; // 0
+    cout << "os.str() = " << oss.str() << endl; // os.str() = inf nan
+  }
+
+  try
+  { // // Output infinity with flags set to trap and catch any infinity.
+    std::ostringstream oss;
+    std::locale default_locale (std::locale::classic ());
+    std::locale C99_out_locale (default_locale, new boost::math::nonfinite_num_put<char>(trap_infinity));
+    oss.imbue (C99_out_locale);
+    oss.exceptions(std::ios_base::failbit | std::ios_base::badbit);
+    // Note that which bit is set is implementation dependent, so enable exceptions for both.
+    oss << inf;
+    cout << "oss.rdstate()  = " << hex << oss.rdstate() << endl;
+    cout << "oss.str() = " << oss.str() << endl;
+  }
+  catch(const std::ios_base::failure& e)
+  { // Expect "Infinity".
+    std::cout << "\n""Message from thrown exception was: " << e.what() << std::endl;
+  }
+
+  try
+  { // // Output NaN with flags set to catch any NaNs.
+    std::ostringstream oss;
+    std::locale default_locale (std::locale::classic ());
+    std::locale C99_out_locale (default_locale, new boost::math::nonfinite_num_put<char>(trap_nan));
+    oss.imbue (C99_out_locale);
+    oss.exceptions(std::ios_base::failbit | std::ios_base::badbit);
+    // Note that which bit is set is implementation dependent, so enable exceptions for both.
+    oss << nan;
+    cout << "oss.str() = " << oss.str() << endl;
+  }
+  catch(const std::ios_base::failure& e)
+  { // Expect "Infinity".
+    std::cout << "\n""Message from thrown exception was: " << e.what() << std::endl;
+ }
+
+
+  return 0; // end of nonfinite_num_facet_trap.cpp
+} // int main()
+
+
+/*
+
+Output:
+
+  nonfinite_num_facet_trap.cpp
+  oss.rdstate()  = 0
+  os.str() = inf nan
+
+  Message from thrown exception was: Infinity
+
+  Message from thrown exception was: NaN
+
+*/
diff --git a/src/boost/libs/math/example/nonfinite_serialization_archives.cpp b/src/boost/libs/math/example/nonfinite_serialization_archives.cpp
new file mode 100644
index 00000000..f39a8a61
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_serialization_archives.cpp
@@ -0,0 +1,136 @@
+/** nonfinite_serialization_archives.cpp
+*
+* Copyright (c) 2011 Paul A. Bristow
+*
+* Distributed under the Boost Software License, Version 1.0.
+* (See accompanying file LICENSE_1_0.txt
+* or copy at http://www.boost.org/LICENSE_1_0.txt)
+*
+* This very simple program illustrates how to use the
+* `boost/math/nonfinite_num_facets.hpp' to obtain C99
+* representation of infinity and NaN.
+* From the original Floating Point  Utilities contribution by Johan Rade.
+* Floating Point Utility library has been accepted into Boost,
+* but the utilities are incorporated into Boost.Math library.
+*
+\file
+
+\brief A simple example of using non_finite_num facet for
+C99 standard output of infinity and NaN in serialization archives.
+
+\detail This example shows how to create a C99 non-finite locale,
+and imbue input and output streams with the non_finite_num put and get facets.
+This allow output and input of infinity and NaN in a Standard portable way,
+This permits 'loop-back' of output back into input (and portably across different system too).
+This is particularly useful when used with Boost.Seralization so that non-finite NaNs and infinity
+values in text and xml archives can be handled correctly and portably.
+
+*/
+
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+
+#include <boost/archive/text_oarchive.hpp>
+using boost::archive::text_oarchive;
+#include <boost/archive/codecvt_null.hpp>
+using boost::archive::codecvt_null;
+using boost::archive::no_codecvt;
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_get;
+using boost::math::nonfinite_num_put;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::cerr;
+
+#include <iomanip>
+using std::setw;
+using std::left;
+using std::right;
+using std::internal;
+
+#include <string>
+using std::string;
+
+#include <sstream>
+using std::istringstream;
+
+#include <fstream>
+using std::ofstream;
+
+#include <limits>
+using std::numeric_limits;
+
+#include <locale>
+using std::locale;
+
+
+/*
+Use with serialization archives.
+
+It is important that the same locale is used
+when an archive is saved and when it is loaded.
+Otherwise, loading the archive may fail.
+
+By default, archives are saved and loaded with a classic C locale with a
+`boost::archive::codecvt_null` facet added.
+Normally you do not have to worry about that.
+The constructors for the archive classes, as a side-effect,
+imbue the stream with such a locale.
+
+However, if you want to use the facets `nonfinite_num_put` and `nonfinite_num_get`
+with archives,`then you have to manage the locale manually.
+
+That is done by calling the archive constructor with the flag `boost::archive::no_codecvt`.
+Then the archive constructor will not imbue the stream with a new locale.
+
+The following code shows how to use `nonfinite_num_put` with a `text_oarchive`:
+
+*/
+
+int main()
+{
+
+  if((std::numeric_limits<double>::has_infinity == false) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == false) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  locale default_locale(locale::classic(), new boost::archive::codecvt_null<char>);
+  // codecvt_null so the archive constructor will not imbue the stream with a new locale.
+
+  locale my_locale(default_locale, new nonfinite_num_put<char>);
+  // Add nonfinite_num_put facet to locale.
+
+  // Use a temporary folder /.temps (which contains "boost-no-inspect" so that it will not be inspected, and made 'hidden' too).
+  ofstream ofs("./.temps/test.txt");
+  ofs.imbue(my_locale);
+
+  boost::archive::text_oarchive oa(ofs, no_codecvt);
+
+  double x = numeric_limits<double>::infinity();
+  oa & x;
+
+} // int main()
+
+
+/* The same method works with nonfinite_num_get  and text_iarchive.
+
+If you use the trap_infinity and trap_nan flags with a serialization archive,
+then you must set the exception mask of the stream.
+Serialization archives do not check the stream state.
+
+
+*/
diff --git a/src/boost/libs/math/example/nonfinite_signaling_NaN.cpp b/src/boost/libs/math/example/nonfinite_signaling_NaN.cpp
new file mode 100644
index 00000000..98ccdd1d
--- /dev/null
+++ b/src/boost/libs/math/example/nonfinite_signaling_NaN.cpp
@@ -0,0 +1,189 @@
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow
+
+/*!
+\file
+\brief Tests of nonfinite signaling NaN loopback.
+
+\detail  nonfinite signaling NaN
+test outputs using nonfinite facets
+(output and input) and reads back in, and checks if loopback OK.
+
+Not expected to work on all platforms (if any).  But shows that on MSVC,
+this legacy locale can ensure a consistent quiet NaN input from representations
+"1.#QNAN", "1.#SNAN" and "1.#IND"
+
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#endif
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+using boost::math::nonfinite_num_get;
+using boost::math::nonfinite_num_put;
+
+#include <iostream>
+using std::cout;
+using std::endl;
+
+#include <locale>
+using std::locale;
+
+#include <string>
+using std::string;
+
+#include <sstream>
+  using std::stringstream;
+  using std::istringstream;
+
+#include <limits>
+using std::numeric_limits;
+
+int main()
+{
+    if((std::numeric_limits<double>::has_infinity == false) || (std::numeric_limits<double>::infinity() == 0))
+  {
+    std::cout << "Infinity not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  if((std::numeric_limits<double>::has_quiet_NaN == false) || (std::numeric_limits<double>::quiet_NaN() == 0))
+  {
+    std::cout << "NaN not supported on this platform." << std::endl;
+    return 0;
+  }
+
+  locale default_locale; // Current global locale.
+  // Try to use the default locale first.
+  // On MSVC this doesn't work.
+
+  { // Try Quiet NaN
+    stringstream ss; // Both input and output.
+    ss.imbue(default_locale); // Redundant, of course.
+    string infs;
+    if(numeric_limits<double>::has_quiet_NaN)
+    {  // Make sure quiet NaN is specialised for type double.
+      double qnan = numeric_limits<double>::quiet_NaN();
+      ss << qnan; // Output quiet_NaN.
+      infs = ss.str();  //
+    }
+    else
+    { // Need to provide a suitable string for quiet NaN.
+     infs =  "1.#QNAN";
+      ss << infs;
+    }
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "quiet_NaN output was " << infs << endl; // "1.#QNAN"
+    cout << "quiet_NaN input was " << r << endl; // "1"
+  }
+
+#if (!defined __BORLANDC__ && !defined __CODEGEARC__)
+  // These compilers trap when trying to create a signaling_NaN!
+  { // Try Signaling NaN
+    stringstream ss; // Both input and output.
+    ss.imbue(default_locale); // Redundant, of course.
+    string infs;
+    if(numeric_limits<double>::has_signaling_NaN)
+    {  // Make sure signaling NaN is specialised for type double.
+      double qnan = numeric_limits<double>::signaling_NaN();
+      ss << qnan; // Output signaling_NaN.
+      infs = ss.str();  //
+    }
+    else
+    { // Need to provide a suitable string for signaling NaN.
+     infs =  "1.#SNAN";
+      ss << infs;
+    }
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "signaling_NaN output was " << infs << endl; // "1.#QNAN" (or "1.#SNAN"?)
+    cout << "signaling_NaN input was " << r << endl; // "1"
+  }
+#endif // Not Borland or CodeGear.
+
+  // Create legacy_locale and store the nonfinite_num_get facet (with legacy flag) in it.
+  locale legacy_locale(default_locale, new nonfinite_num_get<char>(boost::math::legacy));
+  // Note that the legacy flag has no effect on the nonfinite_num_put output facet.
+
+  cout << "Use legacy locale." << endl;
+
+  { // Try infinity.
+    stringstream ss; // Both input and output.
+    ss.imbue(legacy_locale);
+    string infs;
+    if(numeric_limits<double>::has_infinity)
+    {  // Make sure infinity is specialised for type double.
+      double inf = numeric_limits<double>::infinity();
+      ss << inf; // Output infinity.
+      infs = ss.str();  //
+    }
+    else
+    { // Need to provide a suitable string for infinity.
+     infs =  "1.#INF";
+      ss << infs;
+    }
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "infinity output was " << infs << endl; // "1.#INF"
+    cout << "infinity input was " << r << endl; // "1.#INF"
+  }
+
+  { // Try input of "1.#SNAN".
+    //double inf = numeric_limits<double>::signaling_NaN(); // Assigns "1.#QNAN" on MSVC.
+    // So must use explicit string "1.#SNAN" instead.
+    stringstream ss; // Both input and output.
+    ss.imbue(legacy_locale);
+    string s = "1.#SNAN";
+
+    ss << s; // Write out.
+    double r;
+
+    ss >> r; // Read back in.
+
+    cout << "SNAN output was " << s << endl; // "1.#SNAN"
+    cout << "SNAN input was " << r << endl;  // "1.#QNAN"
+  }
+
+  { // Try input of "1.#IND" .
+    stringstream ss; // Both input and output.
+    ss.imbue(legacy_locale);
+    string s = "1.#IND";
+    ss << s; // Write out.
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "IND output was " << s << endl; // "1.#IND"
+    cout << "IND input was " << r << endl;  // "1.#QNAN"
+  }
+
+} // int main()
+
+/*
+
+Output:
+  nonfinite_signaling_NaN.vcxproj -> J:\Cpp\fp_facet\fp_facet\Debug\nonfinite_signaling_NaN.exe
+
+  quiet_NaN output was 1.#QNAN
+  quiet_NaN input was 1
+  signaling_NaN output was 1.#QNAN
+  signaling_NaN input was 1
+  Use legacy locale.
+  infinity output was 1.#INF
+  infinity input was 1.#INF
+  SNAN output was 1.#SNAN
+  SNAN input was 1.#QNAN
+  IND output was 1.#IND
+  IND input was 1.#QNAN
+
+
+*/
+
diff --git a/src/boost/libs/math/example/normal_misc_examples.cpp b/src/boost/libs/math/example/normal_misc_examples.cpp
new file mode 100644
index 00000000..3d0f3acf
--- /dev/null
+++ b/src/boost/libs/math/example/normal_misc_examples.cpp
@@ -0,0 +1,509 @@
+// normal_misc_examples.cpp
+
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of using normal distribution.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[normal_basic1
+/*`
+First we need some includes to access the normal distribution
+(and some std output of course).
+*/
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // typedef provides default type is double.
+
+#include <iostream>
+  using std::cout; using std::endl; using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  using std::setw; using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+int main()
+{
+  cout << "Example: Normal distribution, Miscellaneous Applications.";
+
+  try
+  {
+    { // Traditional tables and values.
+/*`Let's start by printing some traditional tables.
+*/
+      double step = 1.; // in z
+      double range = 4; // min and max z = -range to +range.
+      int precision = 17; // traditional tables are only computed to much lower precision.
+      // but std::numeric_limits<double>::max_digits10; on new Standard Libraries gives
+      // 17, the maximum number of digits that can possibly be significant.
+      // std::numeric_limits<double>::digits10; == 15 is number of guaranteed digits,
+      // the other two digits being 'noisy'.
+
+      // Construct a standard normal distribution s
+        normal s; // (default mean = zero, and standard deviation = unity)
+        cout << "Standard normal distribution, mean = "<< s.mean()
+          << ", standard deviation = " << s.standard_deviation() << endl;
+
+/*` First the probability distribution function (pdf).
+*/
+      cout << "Probability distribution function values" << endl;
+      cout << "  z " "      pdf " << endl;
+      cout.precision(5);
+      for (double z = -range; z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " "
+          << setprecision(precision) << setw(12) << pdf(s, z) << endl;
+      }
+      cout.precision(6); // default
+      /*`And the area under the normal curve from -[infin] up to z,
+      the cumulative distribution function (cdf).
+*/
+      // For a standard normal distribution
+      cout << "Standard normal mean = "<< s.mean()
+        << ", standard deviation = " << s.standard_deviation() << endl;
+      cout << "Integral (area under the curve) from - infinity up to z " << endl;
+      cout << "  z " "      cdf " << endl;
+      for (double z = -range; z < range + step; z += step)
+      {
+        cout << left << setprecision(3) << setw(6) << z << " "
+          << setprecision(precision) << setw(12) << cdf(s, z) << endl;
+      }
+      cout.precision(6); // default
+
+/*`And all this you can do with a nanoscopic amount of work compared to
+the team of *human computers* toiling with Milton Abramovitz and Irene Stegen
+at the US National Bureau of Standards (now [@http://www.nist.gov NIST]).
+Starting in 1938, their "Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables",
+was eventually published in 1964, and has been reprinted numerous times since.
+(A major replacement is planned at [@http://dlmf.nist.gov Digital Library of Mathematical Functions]).
+
+Pretty-printing a traditional 2-dimensional table is left as an exercise for the student,
+but why bother now that the Math Toolkit lets you write
+*/
+    double z = 2.;
+    cout << "Area for z = " << z << " is " << cdf(s, z) << endl; // to get the area for z.
+/*`
+Correspondingly, we can obtain the traditional 'critical' values for significance levels.
+For the 95% confidence level, the significance level usually called alpha,
+is 0.05 = 1 - 0.95 (for a one-sided test), so we can write
+*/
+     cout << "95% of area has a z below " << quantile(s, 0.95) << endl;
+   // 95% of area has a z below 1.64485
+/*`and a two-sided test (a comparison between two levels, rather than a one-sided test)
+
+*/
+     cout << "95% of area has a z between " << quantile(s, 0.975)
+       << " and " << -quantile(s, 0.975) << endl;
+   // 95% of area has a z between 1.95996 and -1.95996
+/*`
+
+First, define a table of significance levels: these are the probabilities
+that the true occurrence frequency lies outside the calculated interval.
+
+It is convenient to have an alpha level for the probability that z lies outside just one standard deviation.
+This will not be some nice neat number like 0.05, but we can easily calculate it,
+*/
+    double alpha1 = cdf(s, -1) * 2; // 0.3173105078629142
+    cout << setprecision(17) << "Significance level for z == 1 is " << alpha1 << endl;
+/*`
+    and place in our array of favorite alpha values.
+*/
+    double alpha[] = {0.3173105078629142, // z for 1 standard deviation.
+      0.20, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+/*`
+
+Confidence value as % is (1 - alpha) * 100 (so alpha 0.05 == 95% confidence)
+that the true occurrence frequency lies *inside* the calculated interval.
+
+*/
+    cout << "level of significance (alpha)" << setprecision(4) << endl;
+    cout << "2-sided       1 -sided          z(alpha) " << endl;
+    for (unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+    {
+      cout << setw(15) << alpha[i] << setw(15) << alpha[i] /2 << setw(10) << quantile(complement(s,  alpha[i]/2)) << endl;
+      // Use quantile(complement(s, alpha[i]/2)) to avoid potential loss of accuracy from quantile(s,  1 - alpha[i]/2)
+    }
+    cout << endl;
+
+/*`Notice the distinction between one-sided (also called one-tailed)
+where we are using a > *or* < test (and not both)
+and considering the area of the tail (integral) from z up to +[infin],
+and a two-sided test where we are using two > *and* < tests, and thus considering two tails,
+from -[infin] up to z low and z high up to +[infin].
+
+So the 2-sided values alpha[i] are calculated using alpha[i]/2.
+
+If we consider a simple example of alpha = 0.05, then for a two-sided test,
+the lower tail area from -[infin] up to -1.96 is 0.025 (alpha/2)
+and the upper tail area from +z up to +1.96 is also  0.025 (alpha/2),
+and the area between -1.96 up to 12.96 is alpha = 0.95.
+and the sum of the two tails is 0.025 + 0.025 = 0.05,
+
+*/
+//] [/[normal_basic1]
+
+//[normal_basic2
+
+/*`Armed with the cumulative distribution function, we can easily calculate the
+easy to remember proportion of values that lie within 1, 2 and 3 standard deviations from the mean.
+
+*/
+    cout.precision(3);
+    cout << showpoint << "cdf(s, s.standard_deviation()) = "
+      << cdf(s, s.standard_deviation()) << endl;  // from -infinity to 1 sd
+    cout << "cdf(complement(s, s.standard_deviation())) = "
+      << cdf(complement(s, s.standard_deviation())) << endl;
+    cout << "Fraction 1 standard deviation within either side of mean is "
+      << 1 -  cdf(complement(s, s.standard_deviation())) * 2 << endl;
+    cout << "Fraction 2 standard deviations within either side of mean is "
+      << 1 -  cdf(complement(s, 2 * s.standard_deviation())) * 2 << endl;
+    cout << "Fraction 3 standard deviations within either side of mean is "
+      << 1 -  cdf(complement(s, 3 * s.standard_deviation())) * 2 << endl;
+
+/*`
+To a useful precision, the 1, 2 & 3 percentages are 68, 95 and 99.7,
+and these are worth memorising as useful 'rules of thumb', as, for example, in
+[@http://en.wikipedia.org/wiki/Standard_deviation standard deviation]:
+
+[pre
+Fraction 1 standard deviation within either side of mean is 0.683
+Fraction 2 standard deviations within either side of mean is 0.954
+Fraction 3 standard deviations within either side of mean is 0.997
+]
+
+We could of course get some really accurate values for these
+[@http://en.wikipedia.org/wiki/Confidence_interval confidence intervals]
+by using cout.precision(15);
+
+[pre
+Fraction 1 standard deviation within either side of mean is 0.682689492137086
+Fraction 2 standard deviations within either side of mean is 0.954499736103642
+Fraction 3 standard deviations within either side of mean is 0.997300203936740
+]
+
+But before you get too excited about this impressive precision,
+don't forget that the *confidence intervals of the standard deviation* are surprisingly wide,
+especially if you have estimated the standard deviation from only a few measurements.
+*/
+//] [/[normal_basic2]
+
+
+//[normal_bulbs_example1
+/*`
+Examples from K. Krishnamoorthy, Handbook of Statistical Distributions with Applications,
+ISBN 1 58488 635 8, page 125... implemented using the Math Toolkit library.
+
+A few very simple examples are shown here:
+*/
+// K. Krishnamoorthy, Handbook of Statistical Distributions with Applications,
+ // ISBN 1 58488 635 8, page 125, example 10.3.5
+/*`Mean lifespan of 100 W bulbs is 1100 h with standard deviation of 100 h.
+Assuming, perhaps with little evidence and much faith, that the distribution is normal,
+we construct a normal distribution called /bulbs/ with these values:
+*/
+    double mean_life = 1100.;
+    double life_standard_deviation = 100.;
+    normal bulbs(mean_life, life_standard_deviation);
+    double expected_life = 1000.;
+
+/*`The we can use the Cumulative distribution function to predict fractions
+(or percentages, if * 100) that will last various lifetimes.
+*/
+    cout << "Fraction of bulbs that will last at best (<=) " // P(X <= 1000)
+      << expected_life << " is "<< cdf(bulbs, expected_life) << endl;
+    cout << "Fraction of bulbs that will last at least (>) " // P(X > 1000)
+      << expected_life << " is "<< cdf(complement(bulbs, expected_life)) << endl;
+    double min_life = 900;
+    double max_life = 1200;
+    cout << "Fraction of bulbs that will last between "
+      << min_life << " and " << max_life << " is "
+      << cdf(bulbs, max_life)  // P(X <= 1200)
+       - cdf(bulbs, min_life) << endl; // P(X <= 900)
+/*`
+[note Real-life failures are often very ab-normal,
+with a significant number that 'dead-on-arrival' or suffer failure very early in their life:
+the lifetime of the survivors of 'early mortality' may be well described by the normal distribution.]
+*/
+//] [/normal_bulbs_example1 Quickbook end]
+  }
+  {
+    // K. Krishnamoorthy, Handbook of Statistical Distributions with Applications,
+    // ISBN 1 58488 635 8, page 125, Example 10.3.6
+
+//[normal_bulbs_example3
+/*`Weekly demand for 5 lb sacks of onions at a store is normally distributed with mean 140 sacks and standard deviation 10.
+*/
+  double mean = 140.; // sacks per week.
+  double standard_deviation = 10;
+  normal sacks(mean, standard_deviation);
+
+  double stock = 160.; // per week.
+  cout << "Percentage of weeks overstocked "
+    << cdf(sacks, stock) * 100. << endl; // P(X <=160)
+  // Percentage of weeks overstocked 97.7
+
+/*`So there will be lots of mouldy onions!
+So we should be able to say what stock level will meet demand 95% of the weeks.
+*/
+  double stock_95 = quantile(sacks, 0.95);
+  cout << "Store should stock " << int(stock_95) << " sacks to meet 95% of demands." << endl;
+/*`And it is easy to estimate how to meet 80% of demand, and waste even less.
+*/
+  double stock_80 = quantile(sacks, 0.80);
+  cout << "Store should stock " << int(stock_80) << " sacks to meet 8 out of 10 demands." << endl;
+//] [/normal_bulbs_example3 Quickbook end]
+  }
+  { // K. Krishnamoorthy, Handbook of Statistical Distributions with Applications,
+    // ISBN 1 58488 635 8, page 125, Example 10.3.7
+
+//[normal_bulbs_example4
+
+/*`A machine is set to pack 3 kg of ground beef per pack.
+Over a long period of time it is found that the average packed was 3 kg
+with a standard deviation of 0.1 kg.
+Assuming the packing is normally distributed,
+we can find the fraction (or %) of packages that weigh more than 3.1 kg.
+*/
+
+double mean = 3.; // kg
+double standard_deviation = 0.1; // kg
+normal packs(mean, standard_deviation);
+
+double max_weight = 3.1; // kg
+cout << "Percentage of packs > " << max_weight << " is "
+<< cdf(complement(packs, max_weight)) << endl; // P(X > 3.1)
+
+double under_weight = 2.9;
+cout <<"fraction of packs <= " << under_weight << " with a mean of " << mean
+  << " is " << cdf(complement(packs, under_weight)) << endl;
+// fraction of packs <= 2.9 with a mean of 3 is 0.841345
+// This is 0.84 - more than the target 0.95
+// Want 95% to be over this weight, so what should we set the mean weight to be?
+// KK StatCalc says:
+double over_mean = 3.0664;
+normal xpacks(over_mean, standard_deviation);
+cout << "fraction of packs >= " << under_weight
+<< " with a mean of " << xpacks.mean()
+  << " is " << cdf(complement(xpacks, under_weight)) << endl;
+// fraction of packs >= 2.9 with a mean of 3.06449 is 0.950005
+double under_fraction = 0.05;  // so 95% are above the minimum weight mean - sd = 2.9
+double low_limit = standard_deviation;
+double offset = mean - low_limit - quantile(packs, under_fraction);
+double nominal_mean = mean + offset;
+
+normal nominal_packs(nominal_mean, standard_deviation);
+cout << "Setting the packer to " << nominal_mean << " will mean that "
+  << "fraction of packs >= " << under_weight
+  << " is " << cdf(complement(nominal_packs, under_weight)) << endl;
+
+/*`
+Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95.
+
+Setting the packer to 3.13263 will mean that fraction of packs >= 2.9 is 0.99,
+but will more than double the mean loss from 0.0644 to 0.133.
+
+Alternatively, we could invest in a better (more precise) packer with a lower standard deviation.
+
+To estimate how much better (how much smaller standard deviation) it would have to be,
+we need to get the 5% quantile to be located at the under_weight limit, 2.9
+*/
+double p = 0.05; // wanted p th quantile.
+cout << "Quantile of " << p << " = " << quantile(packs, p)
+  << ", mean = " << packs.mean() << ", sd = " << packs.standard_deviation() << endl; //
+/*`
+Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+
+With the current packer (mean = 3, sd = 0.1), the 5% quantile is at 2.8551 kg,
+a little below our target of 2.9 kg.
+So we know that the standard deviation is going to have to be smaller.
+
+Let's start by guessing that it (now 0.1) needs to be halved, to a standard deviation of 0.05
+*/
+normal pack05(mean, 0.05);
+cout << "Quantile of " << p << " = " << quantile(pack05, p)
+  << ", mean = " << pack05.mean() << ", sd = " << pack05.standard_deviation() << endl;
+
+cout <<"Fraction of packs >= " << under_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack05.standard_deviation()
+  << " is " << cdf(complement(pack05, under_weight)) << endl;
+//
+/*`
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.9772
+
+So 0.05 was quite a good guess, but we are a little over the 2.9 target,
+so the standard deviation could be a tiny bit more. So we could do some
+more guessing to get closer, say by increasing to 0.06
+*/
+
+normal pack06(mean, 0.06);
+cout << "Quantile of " << p << " = " << quantile(pack06, p)
+  << ", mean = " << pack06.mean() << ", sd = " << pack06.standard_deviation() << endl;
+
+cout <<"Fraction of packs >= " << under_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack06.standard_deviation()
+  << " is " << cdf(complement(pack06, under_weight)) << endl;
+/*`
+Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.9522
+
+Now we are getting really close, but to do the job properly,
+we could use root finding method, for example the tools provided, and used elsewhere,
+in the Math Toolkit, see __root_finding_without_derivatives.
+
+But in this normal distribution case, we could be even smarter and make a direct calculation.
+*/
+
+normal s; // For standard normal distribution,
+double sd = 0.1;
+double x = 2.9; // Our required limit.
+// then probability p = N((x - mean) / sd)
+// So if we want to find the standard deviation that would be required to meet this limit,
+// so that the p th quantile is located at x,
+// in this case the 0.95 (95%) quantile at 2.9 kg pack weight, when the mean is 3 kg.
+
+double prob =  pdf(s, (x - mean) / sd);
+double qp = quantile(s, 0.95);
+cout << "prob = " << prob << ", quantile(p) " << qp << endl; // p = 0.241971, quantile(p) 1.64485
+// Rearranging, we can directly calculate the required standard deviation:
+double sd95 = std::abs((x - mean)) / qp;
+
+cout << "If we want the "<< p << " th quantile to be located at "
+  << x << ", would need a standard deviation of " << sd95 << endl;
+
+normal pack95(mean, sd95);  // Distribution of the 'ideal better' packer.
+cout <<"Fraction of packs >= " << under_weight << " with a mean of " << mean
+  << " and standard deviation of " << pack95.standard_deviation()
+  << " is " << cdf(complement(pack95, under_weight)) << endl;
+
+// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0608 is 0.95
+
+/*`Notice that these two deceptively simple questions
+(do we over-fill or measure better) are actually very common.
+The weight of beef might be replaced by a measurement of more or less anything.
+But the calculations rely on the accuracy of the standard deviation - something
+that is almost always less good than we might wish,
+especially if based on a few measurements.
+*/
+
+//] [/normal_bulbs_example4 Quickbook end]
+  }
+
+  { // K. Krishnamoorthy, Handbook of Statistical Distributions with Applications,
+    // ISBN 1 58488 635 8, page 125, example 10.3.8
+//[normal_bulbs_example5
+/*`A bolt is usable if between 3.9 and 4.1 long.
+From a large batch of bolts, a sample of 50 show a
+mean length of 3.95 with standard deviation 0.1.
+Assuming a normal distribution, what proportion is usable?
+The true sample mean is unknown,
+but we can use the sample mean and standard deviation to find approximate solutions.
+*/
+
+    normal bolts(3.95, 0.1);
+    double top = 4.1;
+    double bottom = 3.9;
+
+cout << "Fraction long enough [ P(X <= " << top << ") ] is " << cdf(bolts, top) << endl;
+cout << "Fraction too short [ P(X <= " << bottom << ") ] is " << cdf(bolts, bottom) << endl;
+cout << "Fraction OK  -between " << bottom << " and " << top
+  << "[ P(X <= " << top  << ") - P(X<= " << bottom << " ) ] is "
+  << cdf(bolts, top) - cdf(bolts, bottom) << endl;
+
+cout << "Fraction too long [ P(X > " << top << ") ] is "
+  << cdf(complement(bolts, top)) << endl;
+
+cout << "95% of bolts are shorter than " << quantile(bolts, 0.95) << endl;
+
+//] [/normal_bulbs_example5 Quickbook end]
+  }
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\normal_misc_examples.exe"
+Example: Normal distribution, Miscellaneous Applications.Standard normal distribution, mean = 0, standard deviation = 1
+Probability distribution function values
+  z       pdf
+-4     0.00013383022576488537
+-3     0.0044318484119380075
+-2     0.053990966513188063
+-1     0.24197072451914337
+0      0.3989422804014327
+1      0.24197072451914337
+2      0.053990966513188063
+3      0.0044318484119380075
+4      0.00013383022576488537
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z
+  z       cdf
+-4     3.1671241833119979e-005
+-3     0.0013498980316300959
+-2     0.022750131948179219
+-1     0.1586552539314571
+0      0.5
+1      0.84134474606854293
+2      0.97724986805182079
+3      0.9986501019683699
+4      0.99996832875816688
+Area for z = 2 is 0.97725
+95% of area has a z below 1.64485
+95% of area has a z between 1.95996 and -1.95996
+Significance level for z == 1 is 0.3173105078629142
+level of significance (alpha)
+2-sided       1 -sided          z(alpha)
+0.3173         0.1587         1
+0.2            0.1            1.282
+0.1            0.05           1.645
+0.05           0.025          1.96
+0.01           0.005          2.576
+0.001          0.0005         3.291
+0.0001         5e-005         3.891
+1e-005         5e-006         4.417
+cdf(s, s.standard_deviation()) = 0.841
+cdf(complement(s, s.standard_deviation())) = 0.159
+Fraction 1 standard deviation within either side of mean is 0.683
+Fraction 2 standard deviations within either side of mean is 0.954
+Fraction 3 standard deviations within either side of mean is 0.997
+Fraction of bulbs that will last at best (<=) 1.00e+003 is 0.159
+Fraction of bulbs that will last at least (>) 1.00e+003 is 0.841
+Fraction of bulbs that will last between 900. and 1.20e+003 is 0.819
+Percentage of weeks overstocked 97.7
+Store should stock 156 sacks to meet 95% of demands.
+Store should stock 148 sacks to meet 8 out of 10 demands.
+Percentage of packs > 3.10 is 0.159
+fraction of packs <= 2.90 with a mean of 3.00 is 0.841
+fraction of packs >= 2.90 with a mean of 3.07 is 0.952
+Setting the packer to 3.06 will mean that fraction of packs >= 2.90 is 0.950
+Quantile of 0.0500 = 2.84, mean = 3.00, sd = 0.100
+Quantile of 0.0500 = 2.92, mean = 3.00, sd = 0.0500
+Fraction of packs >= 2.90 with a mean of 3.00 and standard deviation of 0.0500 is 0.977
+Quantile of 0.0500 = 2.90, mean = 3.00, sd = 0.0600
+Fraction of packs >= 2.90 with a mean of 3.00 and standard deviation of 0.0600 is 0.952
+prob = 0.242, quantile(p) 1.64
+If we want the 0.0500 th quantile to be located at 2.90, would need a standard deviation of 0.0608
+Fraction of packs >= 2.90 with a mean of 3.00 and standard deviation of 0.0608 is 0.950
+Fraction long enough [ P(X <= 4.10) ] is 0.933
+Fraction too short [ P(X <= 3.90) ] is 0.309
+Fraction OK  -between 3.90 and 4.10[ P(X <= 4.10) - P(X<= 3.90 ) ] is 0.625
+Fraction too long [ P(X > 4.10) ] is 0.0668
+95% of bolts are shorter than 4.11
+
+*/
diff --git a/src/boost/libs/math/example/normal_tables.cpp b/src/boost/libs/math/example/normal_tables.cpp
new file mode 100644
index 00000000..e130f5fd
--- /dev/null
+++ b/src/boost/libs/math/example/normal_tables.cpp
@@ -0,0 +1,566 @@
+
+// normal_misc_examples.cpp
+
+// Copyright Paul A. Bristow 2007, 2010, 2014, 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of using normal distribution.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+/*`
+First we need some includes to access the normal distribution
+(and some std output of course).
+*/
+
+#include <boost/cstdfloat.hpp> // MUST be first include!!!
+// See Implementation of Float128 type, Overloading template functions with float128_t.
+
+#include <boost/math/distributions/normal.hpp> // for normal_distribution.
+  using boost::math::normal; // typedef provides default type of double.
+
+#include <iostream>
+  //using std::cout; using std::endl;
+  //using std::left; using std::showpoint; using std::noshowpoint;
+#include <iomanip>
+  //using std::setw; using std::setprecision;
+#include <limits>
+  //using std::numeric_limits;
+
+  /*!
+Function max_digits10
+Returns maximum number of possibly significant decimal digits for a floating-point type FPT,
+even for older compilers/standard libraries that
+lack support for std::std::numeric_limits<FPT>::max_digits10,
+when the Kahan formula 2 + binary_digits * 0.3010 is used instead.
+Also provides the correct result for Visual Studio 2010 where the max_digits10 provided for float is wrong.
+*/
+namespace boost
+{
+namespace math
+{
+template <typename FPT>
+int max_digits10()
+{
+// Since max_digits10 is not defined (or wrong) on older systems, define a local max_digits10.
+
+  // Usage:   int m = max_digits10<boost::float64_t>();
+  const int m =
+#if (defined BOOST_NO_CXX11_NUMERIC_LIMITS) || (_MSC_VER == 1600) // is wrongly 8 not 9 for VS2010.
+  2 + std::numeric_limits<FPT>::digits * 3010/10000;
+#else
+  std::numeric_limits<FPT>::max_digits10;
+#endif
+  return m;
+}
+} // namespace math
+} // namespace boost
+
+template <typename FPT>
+void normal_table()
+{
+  using namespace boost::math;
+
+  FPT step = static_cast<FPT>(1.); // step in z.
+  FPT range = static_cast<FPT>(10.); // min and max z = -range to +range.
+
+  // Traditional tables are only computed to much lower precision.
+  // but @c std::std::numeric_limits<double>::max_digits10;
+  // on new Standard Libraries gives 17,
+  // the maximum number of digits from 64-bit double that can possibly be significant.
+  // @c std::std::numeric_limits<double>::digits10; == 15
+  // is number of @b guaranteed digits, the other two digits being 'noisy'.
+  // Here we use a custom version of max_digits10 which deals with those platforms
+  // where @c std::numeric_limits is not specialized,
+  // or @c std::numeric_limits<>::max_digits10 not implemented, or wrong.
+  int precision = boost::math::max_digits10<FPT>();
+
+// std::cout << typeid(FPT).name() << std::endl;
+// demo_normal.cpp:85: undefined reference to `typeinfo for __float128'
+// [@http://gcc.gnu.org/bugzilla/show_bug.cgi?id=43622   GCC 43622]
+//  typeinfo for __float128 was missing GCC 4.9 Mar 2014, but OK for GCC 6.1.1.
+
+   // Construct a standard normal distribution s, with
+   // (default mean = zero, and standard deviation = unity)
+   normal s;
+   std::cout << "\nStandard normal distribution, mean = "<< s.mean()
+      << ", standard deviation = " << s.standard_deviation() << std::endl;
+
+  std::cout << "maxdigits_10 is " << precision
+    << ", digits10 is " << std::numeric_limits<FPT>::digits10 << std::endl;
+
+  std::cout << "Probability distribution function values" << std::endl;
+
+  std::cout << "  z " "   PDF " << std::endl;
+  for (FPT z = -range; z < range + step; z += step)
+  {
+    std::cout << std::left << std::setprecision(3) << std::setw(6) << z << " "
+      << std::setprecision(precision) << std::setw(12) << pdf(s, z) << std::endl;
+  }
+  std::cout.precision(6); // Restore to default precision.
+
+/*`And the area under the normal curve from -[infin] up to z,
+  the cumulative distribution function (CDF).
+*/
+  // For a standard normal distribution:
+  std::cout << "Standard normal mean = "<< s.mean()
+    << ", standard deviation = " << s.standard_deviation() << std::endl;
+  std::cout << "Integral (area under the curve) from - infinity up to z." << std::endl;
+  std::cout << "  z " "   CDF " << std::endl;
+  for (FPT z = -range; z < range + step; z += step)
+  {
+    std::cout << std::left << std::setprecision(3) << std::setw(6) << z << " "
+      << std::setprecision(precision) << std::setw(12) << cdf(s, z) << std::endl;
+  }
+  std::cout.precision(6); // Reset to default precision.
+} // template <typename FPT> void normal_table()
+
+int main()
+{
+  std::cout << "\nExample: Normal distribution tables." << std::endl;
+
+  using namespace boost::math;
+
+  try
+  {// Tip - always use try'n'catch blocks to ensure that messages from thrown exceptions are shown.
+
+//[normal_table_1
+#ifdef BOOST_FLOAT32_C
+    normal_table<boost::float32_t>(); // Usually type float
+#endif
+    normal_table<boost::float64_t>(); // Usually type double. Assume that float64_t is always available.
+#ifdef BOOST_FLOAT80_C
+    normal_table<boost::float80_t>(); // Type long double on some X86 platforms.
+#endif
+#ifdef BOOST_FLOAT128_C
+    normal_table<boost::float128_t>(); // Type _Quad on some Intel and __float128 on some GCC platforms.
+#endif
+    normal_table<boost::floatmax_t>();
+//] [/normal_table_1 ]
+  }
+  catch(std::exception ex)
+  {
+    std::cout << "exception thrown " << ex.what() << std::endl;
+  }
+
+  return 0;
+}  // int main()
+
+
+/*
+
+GCC 4.8.1 with quadmath
+
+Example: Normal distribution tables.
+
+Standard normal distribution, mean = 0, standard deviation = 1
+maxdigits_10 is 9, digits10 is 6
+Probability distribution function values
+  z    PDF
+-10    7.69459863e-023
+-9     1.02797736e-018
+-8     5.05227108e-015
+-7     9.13472041e-012
+-6     6.07588285e-009
+-5     1.48671951e-006
+-4     0.000133830226
+-3     0.00443184841
+-2     0.0539909665
+-1     0.241970725
+0      0.39894228
+1      0.241970725
+2      0.0539909665
+3      0.00443184841
+4      0.000133830226
+5      1.48671951e-006
+6      6.07588285e-009
+7      9.13472041e-012
+8      5.05227108e-015
+9      1.02797736e-018
+10     7.69459863e-023
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z.
+  z    CDF
+-10    7.61985302e-024
+-9     1.12858841e-019
+-8     6.22096057e-016
+-7     1.27981254e-012
+-6     9.86587645e-010
+-5     2.86651572e-007
+-4     3.16712418e-005
+-3     0.00134989803
+-2     0.0227501319
+-1     0.158655254
+0      0.5
+1      0.841344746
+2      0.977249868
+3      0.998650102
+4      0.999968329
+5      0.999999713
+6      0.999999999
+7      1
+8      1
+9      1
+10     1
+
+Standard normal distribution, mean = 0, standard deviation = 1
+maxdigits_10 is 17, digits10 is 15
+Probability distribution function values
+  z    PDF
+-10    7.6945986267064199e-023
+-9     1.0279773571668917e-018
+-8     5.0522710835368927e-015
+-7     9.1347204083645953e-012
+-6     6.0758828498232861e-009
+-5     1.4867195147342979e-006
+-4     0.00013383022576488537
+-3     0.0044318484119380075
+-2     0.053990966513188063
+-1     0.24197072451914337
+0      0.3989422804014327
+1      0.24197072451914337
+2      0.053990966513188063
+3      0.0044318484119380075
+4      0.00013383022576488537
+5      1.4867195147342979e-006
+6      6.0758828498232861e-009
+7      9.1347204083645953e-012
+8      5.0522710835368927e-015
+9      1.0279773571668917e-018
+10     7.6945986267064199e-023
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z.
+  z    CDF
+-10    7.6198530241605945e-024
+-9     1.1285884059538422e-019
+-8     6.2209605742718204e-016
+-7     1.279812543885835e-012
+-6     9.865876450377014e-010
+-5     2.8665157187919455e-007
+-4     3.1671241833119972e-005
+-3     0.0013498980316300957
+-2     0.022750131948179216
+-1     0.15865525393145705
+0      0.5
+1      0.84134474606854293
+2      0.97724986805182079
+3      0.9986501019683699
+4      0.99996832875816688
+5      0.99999971334842808
+6      0.9999999990134123
+7      0.99999999999872013
+8      0.99999999999999933
+9      1
+10     1
+
+Standard normal distribution, mean = 0, standard deviation = 1
+maxdigits_10 is 21, digits10 is 18
+Probability distribution function values
+  z    PDF
+-10    7.69459862670641993759e-023
+-9     1.0279773571668916523e-018
+-8     5.05227108353689273243e-015
+-7     9.13472040836459525705e-012
+-6     6.07588284982328608733e-009
+-5     1.48671951473429788965e-006
+-4     0.00013383022576488536764
+-3     0.00443184841193800752729
+-2     0.0539909665131880628364
+-1     0.241970724519143365328
+0      0.398942280401432702863
+1      0.241970724519143365328
+2      0.0539909665131880628364
+3      0.00443184841193800752729
+4      0.00013383022576488536764
+5      1.48671951473429788965e-006
+6      6.07588284982328608733e-009
+7      9.13472040836459525705e-012
+8      5.05227108353689273243e-015
+9      1.0279773571668916523e-018
+10     7.69459862670641993759e-023
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z.
+  z    CDF
+-10    7.61985302416059451083e-024
+-9     1.12858840595384222719e-019
+-8     6.22096057427182035917e-016
+-7     1.279812543885834962e-012
+-6     9.86587645037701399241e-010
+-5     2.86651571879194547129e-007
+-4     3.16712418331199717608e-005
+-3     0.00134989803163009566139
+-2     0.0227501319481792155242
+-1     0.158655253931457046468
+0      0.5
+1      0.841344746068542925777
+2      0.977249868051820791415
+3      0.998650101968369896532
+4      0.999968328758166880021
+5      0.999999713348428076465
+6      0.999999999013412299576
+7      0.999999999998720134897
+8      0.999999999999999333866
+9      1
+10     1
+
+Standard normal distribution, mean = 0, standard deviation = 1
+maxdigits_10 is 36, digits10 is 34
+Probability distribution function values
+  z    PDF
+-10    7.69459862670641993759264402330435296e-023
+-9     1.02797735716689165230378750485667109e-018
+-8     5.0522710835368927324337437844893081e-015
+-7     9.13472040836459525705208369548147081e-012
+-6     6.07588284982328608733411870229841611e-009
+-5     1.48671951473429788965346931561839483e-006
+-4     0.00013383022576488536764006964663309418
+-3     0.00443184841193800752728870762098267733
+-2     0.0539909665131880628363703067407186609
+-1     0.241970724519143365327522587904240936
+0      0.398942280401432702863218082711682655
+1      0.241970724519143365327522587904240936
+2      0.0539909665131880628363703067407186609
+3      0.00443184841193800752728870762098267733
+4      0.00013383022576488536764006964663309418
+5      1.48671951473429788965346931561839483e-006
+6      6.07588284982328608733411870229841611e-009
+7      9.13472040836459525705208369548147081e-012
+8      5.0522710835368927324337437844893081e-015
+9      1.02797735716689165230378750485667109e-018
+10     7.69459862670641993759264402330435296e-023
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z.
+  z    CDF
+-10    7.61985302416059451083278826816793623e-024
+-9     1.1285884059538422271881384555435713e-019
+-8     6.22096057427182035917417257601387863e-016
+-7     1.27981254388583496200054074948511201e-012
+-6     9.86587645037701399241244820583623953e-010
+-5     2.86651571879194547128505464808623238e-007
+-4     3.16712418331199717608064048146587766e-005
+-3     0.001349898031630095661392854111682027
+-2     0.0227501319481792155241528519127314212
+-1     0.158655253931457046467912164189328905
+0      0.5
+1      0.841344746068542925776512220181757584
+2      0.977249868051820791414741051994496956
+3      0.998650101968369896532351503992686048
+4      0.999968328758166880021462930017150939
+5      0.999999713348428076464813329948810861
+6      0.999999999013412299575520592043176293
+7      0.999999999998720134897212119540199637
+8      0.999999999999999333866185224906075746
+9      1
+10     1
+
+Standard normal distribution, mean = 0, standard deviation = 1
+maxdigits_10 is 36, digits10 is 34
+Probability distribution function values
+  z    PDF
+-10    7.69459862670641993759264402330435296e-023
+-9     1.02797735716689165230378750485667109e-018
+-8     5.0522710835368927324337437844893081e-015
+-7     9.13472040836459525705208369548147081e-012
+-6     6.07588284982328608733411870229841611e-009
+-5     1.48671951473429788965346931561839483e-006
+-4     0.00013383022576488536764006964663309418
+-3     0.00443184841193800752728870762098267733
+-2     0.0539909665131880628363703067407186609
+-1     0.241970724519143365327522587904240936
+0      0.398942280401432702863218082711682655
+1      0.241970724519143365327522587904240936
+2      0.0539909665131880628363703067407186609
+3      0.00443184841193800752728870762098267733
+4      0.00013383022576488536764006964663309418
+5      1.48671951473429788965346931561839483e-006
+6      6.07588284982328608733411870229841611e-009
+7      9.13472040836459525705208369548147081e-012
+8      5.0522710835368927324337437844893081e-015
+9      1.02797735716689165230378750485667109e-018
+10     7.69459862670641993759264402330435296e-023
+Standard normal mean = 0, standard deviation = 1
+Integral (area under the curve) from - infinity up to z.
+  z    CDF
+-10    7.61985302416059451083278826816793623e-024
+-9     1.1285884059538422271881384555435713e-019
+-8     6.22096057427182035917417257601387863e-016
+-7     1.27981254388583496200054074948511201e-012
+-6     9.86587645037701399241244820583623953e-010
+-5     2.86651571879194547128505464808623238e-007
+-4     3.16712418331199717608064048146587766e-005
+-3     0.001349898031630095661392854111682027
+-2     0.0227501319481792155241528519127314212
+-1     0.158655253931457046467912164189328905
+0      0.5
+1      0.841344746068542925776512220181757584
+2      0.977249868051820791414741051994496956
+3      0.998650101968369896532351503992686048
+4      0.999968328758166880021462930017150939
+5      0.999999713348428076464813329948810861
+6      0.999999999013412299575520592043176293
+7      0.999999999998720134897212119540199637
+8      0.999999999999999333866185224906075746
+9      1
+10     1
+
+MSVC 2013 64-bit
+1>
+1>  Example: Normal distribution tables.
+1>
+1>  Standard normal distribution, mean = 0, standard deviation = 1
+1>  maxdigits_10 is 9, digits10 is 6
+1>  Probability distribution function values
+1>    z    PDF
+1>  -10    7.69459863e-023
+1>  -9     1.02797736e-018
+1>  -8     5.05227108e-015
+1>  -7     9.13472041e-012
+1>  -6     6.07588285e-009
+1>  -5     1.48671951e-006
+1>  -4     0.000133830226
+1>  -3     0.00443184841
+1>  -2     0.0539909665
+1>  -1     0.241970725
+1>  0      0.39894228
+1>  1      0.241970725
+1>  2      0.0539909665
+1>  3      0.00443184841
+1>  4      0.000133830226
+1>  5      1.48671951e-006
+1>  6      6.07588285e-009
+1>  7      9.13472041e-012
+1>  8      5.05227108e-015
+1>  9      1.02797736e-018
+1>  10     7.69459863e-023
+1>  Standard normal mean = 0, standard deviation = 1
+1>  Integral (area under the curve) from - infinity up to z.
+1>    z    CDF
+1>  -10    7.61985302e-024
+1>  -9     1.12858841e-019
+1>  -8     6.22096057e-016
+1>  -7     1.27981254e-012
+1>  -6     9.86587645e-010
+1>  -5     2.86651572e-007
+1>  -4     3.16712418e-005
+1>  -3     0.00134989803
+1>  -2     0.0227501319
+1>  -1     0.158655254
+1>  0      0.5
+1>  1      0.841344746
+1>  2      0.977249868
+1>  3      0.998650102
+1>  4      0.999968329
+1>  5      0.999999713
+1>  6      0.999999999
+1>  7      1
+1>  8      1
+1>  9      1
+1>  10     1
+1>
+1>  Standard normal distribution, mean = 0, standard deviation = 1
+1>  maxdigits_10 is 17, digits10 is 15
+1>  Probability distribution function values
+1>    z    PDF
+1>  -10    7.6945986267064199e-023
+1>  -9     1.0279773571668917e-018
+1>  -8     5.0522710835368927e-015
+1>  -7     9.1347204083645953e-012
+1>  -6     6.0758828498232861e-009
+1>  -5     1.4867195147342979e-006
+1>  -4     0.00013383022576488537
+1>  -3     0.0044318484119380075
+1>  -2     0.053990966513188063
+1>  -1     0.24197072451914337
+1>  0      0.3989422804014327
+1>  1      0.24197072451914337
+1>  2      0.053990966513188063
+1>  3      0.0044318484119380075
+1>  4      0.00013383022576488537
+1>  5      1.4867195147342979e-006
+1>  6      6.0758828498232861e-009
+1>  7      9.1347204083645953e-012
+1>  8      5.0522710835368927e-015
+1>  9      1.0279773571668917e-018
+1>  10     7.6945986267064199e-023
+1>  Standard normal mean = 0, standard deviation = 1
+1>  Integral (area under the curve) from - infinity up to z.
+1>    z    CDF
+1>  -10    7.6198530241605813e-024
+1>  -9     1.1285884059538408e-019
+1>  -8     6.2209605742718292e-016
+1>  -7     1.2798125438858352e-012
+1>  -6     9.8658764503770161e-010
+1>  -5     2.8665157187919439e-007
+1>  -4     3.1671241833119979e-005
+1>  -3     0.0013498980316300957
+1>  -2     0.022750131948179219
+1>  -1     0.15865525393145707
+1>  0      0.5
+1>  1      0.84134474606854293
+1>  2      0.97724986805182079
+1>  3      0.9986501019683699
+1>  4      0.99996832875816688
+1>  5      0.99999971334842808
+1>  6      0.9999999990134123
+1>  7      0.99999999999872013
+1>  8      0.99999999999999933
+1>  9      1
+1>  10     1
+1>
+1>  Standard normal distribution, mean = 0, standard deviation = 1
+1>  maxdigits_10 is 17, digits10 is 15
+1>  Probability distribution function values
+1>    z    PDF
+1>  -10    7.6945986267064199e-023
+1>  -9     1.0279773571668917e-018
+1>  -8     5.0522710835368927e-015
+1>  -7     9.1347204083645953e-012
+1>  -6     6.0758828498232861e-009
+1>  -5     1.4867195147342979e-006
+1>  -4     0.00013383022576488537
+1>  -3     0.0044318484119380075
+1>  -2     0.053990966513188063
+1>  -1     0.24197072451914337
+1>  0      0.3989422804014327
+1>  1      0.24197072451914337
+1>  2      0.053990966513188063
+1>  3      0.0044318484119380075
+1>  4      0.00013383022576488537
+1>  5      1.4867195147342979e-006
+1>  6      6.0758828498232861e-009
+1>  7      9.1347204083645953e-012
+1>  8      5.0522710835368927e-015
+1>  9      1.0279773571668917e-018
+1>  10     7.6945986267064199e-023
+1>  Standard normal mean = 0, standard deviation = 1
+1>  Integral (area under the curve) from - infinity up to z.
+1>    z    CDF
+1>  -10    7.6198530241605813e-024
+1>  -9     1.1285884059538408e-019
+1>  -8     6.2209605742718292e-016
+1>  -7     1.2798125438858352e-012
+1>  -6     9.8658764503770161e-010
+1>  -5     2.8665157187919439e-007
+1>  -4     3.1671241833119979e-005
+1>  -3     0.0013498980316300957
+1>  -2     0.022750131948179219
+1>  -1     0.15865525393145707
+1>  0      0.5
+1>  1      0.84134474606854293
+1>  2      0.97724986805182079
+1>  3      0.9986501019683699
+1>  4      0.99996832875816688
+1>  5      0.99999971334842808
+1>  6      0.9999999990134123
+1>  7      0.99999999999872013
+1>  8      0.99999999999999933
+1>  9      1
+1>  10     1
+
+
+*/
diff --git a/src/boost/libs/math/example/numerical_derivative_example.cpp b/src/boost/libs/math/example/numerical_derivative_example.cpp
new file mode 100644
index 00000000..ff45b458
--- /dev/null
+++ b/src/boost/libs/math/example/numerical_derivative_example.cpp
@@ -0,0 +1,209 @@
+// Copyright Christopher Kormanyos 2013.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+// copy at http://www.boost.org/LICENSE_1_0.txt).
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+# include <iostream>
+# include <iomanip>
+# include <limits>
+# include <cmath>
+
+#include <boost/static_assert.hpp>
+#include <boost/type_traits/is_floating_point.hpp> 
+#include <boost/math/special_functions/next.hpp> // for float_distance
+
+//[numeric_derivative_example
+/*`The following example shows how multiprecision calculations can be used to
+obtain full precision in a numerical derivative calculation that suffers from precision loss.
+
+Consider some well-known central difference rules for numerically
+computing the 1st derivative of a function [f'(x)] with [/x] real.
+
+Need a reference here?  Introduction to Partial Differential Equations, Peter J. Olver
+ December 16, 2012 
+
+Here, the implementation uses a C++ template that can be instantiated with various
+floating-point types such as `float`, `double`, `long double`, or even
+a user-defined floating-point type like __multiprecision.
+
+We will now use the derivative template with the built-in type `double` in
+order to numerically compute the derivative of a function, and then repeat
+with a 5 decimal digit higher precision user-defined floating-point type. 
+
+Consider the function  shown below.
+!!
+(3)
+We will now take the derivative of this function with respect to x evaluated
+at x = 3= 2. In other words,
+
+(4)
+
+The expected result is
+
+ 0:74535 59924 99929 89880 . (5)
+The program below uses the derivative template in order to perform
+the numerical calculation of this derivative. The program also compares the
+numerically-obtained result with the expected result and reports the absolute
+relative error scaled to a deviation that can easily be related to the number of
+bits of lost precision.
+
+*/
+
+/*` [note Rquires the C++11 feature of
+[@http://en.wikipedia.org/wiki/Anonymous_function#C.2B.2B anonymous functions]
+for the derivative function calls like `[]( const double & x_) -> double`.
+*/
+
+
+
+template <typename value_type,  typename function_type>
+value_type derivative (const value_type x, const value_type dx, function_type function)
+{
+  /*! \brief Compute the derivative of function using a 3-point central difference rule of O(dx^6).
+    \tparam value_type, floating-point type, for example: `double` or `cpp_dec_float_50`
+    \tparam function_type  
+    
+    \param x Value at which to evaluate derivative.
+    \param dx Incremental step-size.
+    \param function Function whose derivative is to computed.
+  
+    \return derivative at x.
+  */
+
+  BOOST_STATIC_ASSERT_MSG(false == std::numeric_limits<value_type>::is_integer, "value_type must be a floating-point type!");
+
+  const value_type dx2(dx * 2U);
+  const value_type dx3(dx * 3U);
+  // Difference terms.
+  const value_type m1 ((function (x + dx) - function(x - dx)) / 2U);
+  const value_type m2 ((function (x + dx2) - function(x - dx2)) / 4U);
+  const value_type m3 ((function (x + dx3) - function(x - dx3)) / 6U);
+  const value_type fifteen_m1 (m1 * 15U);
+  const value_type six_m2 (m2 * 6U);
+  const value_type ten_dx (dx * 10U);
+  return ((fifteen_m1 - six_m2) + m3) / ten_dx;  // Derivative.
+} // 
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+  using boost::multiprecision::number;
+  using boost::multiprecision::cpp_dec_float;
+
+// Re-compute using 5 extra decimal digits precision (22) than double (17).
+#define MP_DIGITS10 unsigned (std::numeric_limits<double>::max_digits10 + 5)
+
+typedef cpp_dec_float<MP_DIGITS10> mp_backend;
+typedef number<mp_backend> mp_type;
+
+
+int main()
+{
+  {
+    const double d =
+      derivative
+      ( 1.5, // x = 3.2
+        std::ldexp (1., -9), // step size 2^-9 = see below for choice.
+        [](const double & x)->double // Function f(x).
+        {
+          return std::sqrt((x * x) - 1.) - std::acos(1. / x);
+        }
+      );
+  
+    // The 'exactly right' result is [sqrt]5 / 3 = 0.74535599249992989880.
+    const double rel_error = (d - 0.74535599249992989880) / 0.74535599249992989880;
+    const double bit_error = std::abs(rel_error) / std::numeric_limits<double>::epsilon();
+    std::cout.precision (std::numeric_limits<double>::digits10); // Show all guaranteed decimal digits.
+    std::cout << std::showpoint ; // Ensure that any trailing zeros are shown too.
+
+    std::cout << " derivative : " << d << std::endl;
+    std::cout << " expected   : " << 0.74535599249992989880 << std::endl;
+    // Can compute an 'exact' value using multiprecision type.
+    std::cout << " expected   : " << sqrt(static_cast<mp_type>(5))/3U << std::endl;
+    std::cout << " bit_error : " << static_cast<unsigned long>(bit_error)  << std::endl;
+
+    std::cout.precision(6);
+    std::cout << "float_distance = " << boost::math::float_distance(0.74535599249992989880, d) << std::endl;
+
+  }
+
+  { // Compute using multiprecision type with an extra 5 decimal digits of precision.
+    const mp_type mp =
+      derivative(mp_type(mp_type(3) / 2U), // x = 3/2
+        mp_type(mp_type(1) / 10000000U), // Step size 10^7.
+        [](const mp_type & x)->mp_type
+        {
+          return sqrt((x * x) - 1.) - acos (1. / x); // Function
+        }
+    );
+
+    const double d = mp.convert_to<double>(); // Convert to closest double.
+    const double rel_error = (d - 0.74535599249992989880) / 0.74535599249992989880;
+    const double bit_error = std::abs (rel_error) / std::numeric_limits<double>::epsilon();
+    std::cout.precision (std::numeric_limits <double>::digits10); // All guaranteed decimal digits.
+    std::cout << std::showpoint ; // Ensure that any trailing zeros are shown too.
+    std::cout << " derivative : " << d << std::endl;
+    // Can compute an 'exact' value using multiprecision type.
+    std::cout << " expected   : " << sqrt(static_cast<mp_type>(5))/3U << std::endl;
+    std::cout << " expected   : " << 0.74535599249992989880
+    << std::endl;
+    std::cout << " bit_error : "  << static_cast<unsigned long>(bit_error)  << std::endl;
+
+    std::cout.precision(6);
+    std::cout << "float_distance = " << boost::math::float_distance(0.74535599249992989880, d) << std::endl;
+
+    
+  }
+
+
+} // int main()
+
+/*`
+The result of this program on a system with an eight-byte, 64-bit IEEE-754
+conforming floating-point representation for `double` is:
+
+ derivative : 0.745355992499951
+
+ derivative : 0.745355992499943
+ expected   : 0.74535599249993
+ bit_error : 78
+
+    derivative : 0.745355992499930
+   expected   : 0.745355992499930
+   bit_error : 0
+
+The resulting bit error is 0. This means that the result of the derivative
+calculation is bit-identical with the double representation of the expected result,
+and this is the best result possible for the built-in type.
+
+The derivative in this example has a known closed form. There are, however,
+countless situations in numerical analysis (and not only for numerical deriva-
+tives) for which the calculation at hand does not have a known closed-form
+solution or for which the closed-form solution is highly inconvenient to use. In
+such cases, this technique may be useful.
+
+This example has shown how multiprecision can be used to add extra digits
+to an ill-conditioned calculation that suffers from precision loss. When the result
+of the multiprecision calculation is converted to a built-in type such as double,
+the entire precision of the result in double is preserved.
+
+ */
+
+/*
+
+  Description: Autorun "J:\Cpp\big_number\Debug\numerical_derivative_example.exe"
+   derivative : 0.745355992499943
+   expected   : 0.745355992499930
+   expected   : 0.745355992499930
+   bit_error : 78
+  float_distance = 117.000
+   derivative : 0.745355992499930
+   expected   : 0.745355992499930
+   expected   : 0.745355992499930
+   bit_error : 0
+  float_distance = 0.000000
+
+ */
+
diff --git a/src/boost/libs/math/example/ooura_fourier_integrals_cosine_example.cpp b/src/boost/libs/math/example/ooura_fourier_integrals_cosine_example.cpp
new file mode 100644
index 00000000..2269202d
--- /dev/null
+++ b/src/boost/libs/math/example/ooura_fourier_integrals_cosine_example.cpp
@@ -0,0 +1,83 @@
+// Copyright Paul A. Bristow, 2019
+// Copyright Nick Thompson, 2019
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#define BOOST_MATH_INSTRUMENT_OOURA // or -DBOOST_MATH_INSTRUMENT_OOURA etc for diagnostic output.
+
+#include <boost/math/quadrature/ooura_fourier_integrals.hpp> // For ooura_fourier_cos
+#include <boost/math/constants/constants.hpp>  // For pi (including for multiprecision types, if used.)
+
+#include <cmath>
+#include <iostream>
+#include <limits>
+#include <iostream>
+
+int main()
+{
+  try
+  {
+  std::cout.precision(std::numeric_limits<double>::max_digits10); // Show all potentially significant digits.
+
+  using boost::math::quadrature::ooura_fourier_cos;
+  using boost::math::constants::half_pi;
+  using boost::math::constants::e;
+
+ //[ooura_fourier_integrals_cosine_example_1
+  auto integrator = ooura_fourier_cos<double>();
+  // Use the default tolerance root_epsilon and eight levels for type double.
+
+  auto f = [](double x)
+  { // More complex example function.
+    return 1 / (x * x + 1);
+  };
+
+  double omega = 1;
+
+  auto [result, relative_error] = integrator.integrate(f, omega);
+  std::cout << "Integral = " << result << ", relative error estimate " << relative_error << std::endl;
+
+  //] [/ooura_fourier_integrals_cosine_example_1]
+
+  //[ooura_fourier_integrals_cosine_example_2
+
+  constexpr double expected = half_pi<double>() / e<double>();
+  std::cout << "pi/(2e) =  " << expected << ", difference " << result - expected << std::endl;
+  //] [/ooura_fourier_integrals_cosine_example_2]
+  }
+  catch (std::exception const & ex)
+  {
+    // Lacking try&catch blocks, the program will abort after any throw, whereas the
+    // message below from the thrown exception will give some helpful clues as to the cause of the problem.
+    std::cout << "\n""Message from thrown exception was:\n   " << ex.what() << std::endl;
+  }
+
+} // int main()
+
+/*
+
+//[ooura_fourier_integrals_example_cosine_output_1
+``
+Integral = 0.57786367489546109, relative error estimate 6.4177395404415149e-09
+pi/(2e) =  0.57786367489546087, difference 2.2204460492503131e-16
+``
+//] [/ooura_fourier_integrals_example_cosine_output_1]
+
+
+//[ooura_fourier_integrals_example_cosine_diagnostic_output_1
+``
+ooura_fourier_cos with relative error goal 1.4901161193847656e-08 & 8 levels.
+epsilon for type = 2.2204460492503131e-16
+h = 1.000000000000000, I_h = 0.588268622591776 = 0x1.2d318b7e96dbe00p-1, absolute error estimate = nan
+h = 0.500000000000000, I_h = 0.577871642184837 = 0x1.27decab8f07b200p-1, absolute error estimate = 1.039698040693926e-02
+h = 0.250000000000000, I_h = 0.577863671186883 = 0x1.27ddbf42969be00p-1, absolute error estimate = 7.970997954576120e-06
+h = 0.125000000000000, I_h = 0.577863674895461 = 0x1.27ddbf6271dc000p-1, absolute error estimate = 3.708578555361441e-09
+Integral = 5.778636748954611e-01, relative error estimate 6.417739540441515e-09
+pi/(2e)  = 5.778636748954609e-01, difference 2.220446049250313e-16
+``
+//] [/ooura_fourier_integrals_example_cosine_diagnostic_output_1]
+
+*/
diff --git a/src/boost/libs/math/example/ooura_fourier_integrals_example.cpp b/src/boost/libs/math/example/ooura_fourier_integrals_example.cpp
new file mode 100644
index 00000000..22a9d015
--- /dev/null
+++ b/src/boost/libs/math/example/ooura_fourier_integrals_example.cpp
@@ -0,0 +1,83 @@
+// Copyright Paul A. Bristow, 2019
+// Copyright Nick Thompson, 2019
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_NO_CXX11_LAMBDAS
+#  error "This example requires a C++11 compiler that supports lambdas.  Try C++11 or later."
+#endif
+
+//#define BOOST_MATH_INSTRUMENT_OOURA // or -DBOOST_MATH_INSTRUMENT_OOURA etc for diagnostics.
+
+#include <boost/math/quadrature/ooura_fourier_integrals.hpp>
+#include <boost/math/constants/constants.hpp>  // For pi (including for multiprecision types, if used.)
+
+#include <cmath>
+#include <iostream>
+#include <limits>
+#include <iostream>
+
+int main()
+{
+  try
+  {
+  std::cout.precision(std::numeric_limits<double>::max_digits10); // Show all potentially significant digits.
+
+  using boost::math::quadrature::ooura_fourier_sin;
+  using boost::math::constants::half_pi;
+
+//[ooura_fourier_integrals_example_1
+  ooura_fourier_sin<double>integrator = ooura_fourier_sin<double>();
+  // Use the default tolerance root_epsilon and eight levels for type double.
+
+  auto f = [](double x)
+  { // Simple reciprocal function for sinc.
+    return 1 / x;
+  };
+
+  double omega = 1;
+  std::pair<double, double> result = integrator.integrate(f, omega);
+  std::cout << "Integral = " << result.first << ", relative error estimate " << result.second << std::endl;
+
+//] [/ooura_fourier_integrals_example_1]
+
+//[ooura_fourier_integrals_example_2
+
+  constexpr double expected = half_pi<double>();
+  std::cout << "pi/2 =     " << expected << ", difference " << result.first - expected << std::endl;
+//] [/ooura_fourier_integrals_example_2]
+  }
+  catch (std::exception const & ex)
+  {
+    // Lacking try&catch blocks, the program will abort after any throw, whereas the
+    // message below from the thrown exception will give some helpful clues as to the cause of the problem.
+    std::cout << "\n""Message from thrown exception was:\n   " << ex.what() << std::endl;
+  }
+} // int main()
+
+/*
+
+//[ooura_fourier_integrals_example_output_1
+
+integral = 1.5707963267948966, relative error estimate 1.2655356398390254e-11
+pi/2 =     1.5707963267948966, difference 0
+
+//] [/ooura_fourier_integrals_example_output_1]
+
+
+//[ooura_fourier_integrals_example_diagnostic_output_1
+
+ooura_fourier_sin with relative error goal 1.4901161193847656e-08 & 8 levels.
+h = 1.000000000000000, I_h = 1.571890732004545 = 0x1.92676e56d853500p+0, absolute error estimate = nan
+h = 0.500000000000000, I_h = 1.570793292491940 = 0x1.921f825c076f600p+0, absolute error estimate = 1.097439512605325e-03
+h = 0.250000000000000, I_h = 1.570796326814776 = 0x1.921fb54458acf00p+0, absolute error estimate = 3.034322835882008e-06
+h = 0.125000000000000, I_h = 1.570796326794897 = 0x1.921fb54442d1800p+0, absolute error estimate = 1.987898734512328e-11
+Integral = 1.570796326794897e+00, relative error estimate 1.265535639839025e-11
+pi/2 =     1.570796326794897e+00, difference 0.000000000000000e+00
+
+//] [/ooura_fourier_integrals_example_diagnostic_output_1]
+
+*/
diff --git a/src/boost/libs/math/example/ooura_fourier_integrals_multiprecision_example.cpp b/src/boost/libs/math/example/ooura_fourier_integrals_multiprecision_example.cpp
new file mode 100644
index 00000000..f2ac1319
--- /dev/null
+++ b/src/boost/libs/math/example/ooura_fourier_integrals_multiprecision_example.cpp
@@ -0,0 +1,98 @@
+// Copyright Paul A. Bristow, 2019
+// Copyright Nick Thompson, 2019
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#if !defined(__cpp_structured_bindings) || (__cpp_structured_bindings < 201606L)
+#  error "This example requires a C++17 compiler that supports 'structured bindings'. Try /std:c++17 or -std=c++17 or later."
+#endif
+
+//#define BOOST_MATH_INSTRUMENT_OOURA // or -DBOOST_MATH_INSTRUMENT_OOURA etc for diagnostic output.
+
+#include <boost/math/quadrature/ooura_fourier_integrals.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp> // for cpp_bin_float_quad, cpp_bin_float_50...
+#include <boost/math/constants/constants.hpp>  // For pi (including for multiprecision types, if used.)
+
+#include <cmath>
+#include <iostream>
+#include <limits>
+#include <iostream>
+#include <exception>
+
+int main()
+{
+  try
+  {
+    typedef boost::multiprecision::cpp_bin_float_quad Real;
+
+    std::cout.precision(std::numeric_limits<Real>::max_digits10); // Show all potentially significant digits.
+
+    using boost::math::quadrature::ooura_fourier_cos;
+    using boost::math::constants::half_pi;
+    using boost::math::constants::e;
+
+   //[ooura_fourier_integrals_multiprecision_example_1
+
+    // Use the default parameters for tolerance root_epsilon and eight levels for a type of 8 bytes.
+    //auto integrator = ooura_fourier_cos<Real>();
+    // Decide on a (tight) tolerance.
+    const Real tol = 2 * std::numeric_limits<Real>::epsilon();
+    auto integrator = ooura_fourier_cos<Real>(tol, 8); // Loops or gets worse for more than 8.
+
+    auto f = [](Real x)
+    { // More complex example function.
+      return 1 / (x * x + 1);
+    };
+
+    double omega = 1;
+    auto [result, relative_error] = integrator.integrate(f, omega);
+
+    //] [/ooura_fourier_integrals_multiprecision_example_1]
+
+    //[ooura_fourier_integrals_multiprecision_example_2
+    std::cout << "Integral = " << result << ", relative error estimate " << relative_error << std::endl;
+
+    const Real expected = half_pi<Real>() / e<Real>(); // Expect integral = 1/(2e)
+    std::cout << "pi/(2e)  = " << expected << ", difference " << result - expected << std::endl;
+    //] [/ooura_fourier_integrals_multiprecision_example_2]
+  }
+  catch (std::exception const & ex)
+  {
+    // Lacking try&catch blocks, the program will abort after any throw, whereas the
+    // message below from the thrown exception will give some helpful clues as to the cause of the problem.
+    std::cout << "\n""Message from thrown exception was:\n   " << ex.what() << std::endl;
+  }
+} // int main()
+
+/*
+
+//[ooura_fourier_integrals_example_multiprecision_output_1
+``
+Integral = 0.5778636748954608589550465916563501587, relative error estimate 4.609814684522163895264277312610830278e-17
+pi/(2e) = 0.5778636748954608659545328919193707407, difference -6.999486300263020581921171645255733758e-18
+``
+//] [/ooura_fourier_integrals_example_multiprecision_output_1]
+
+
+//[ooura_fourier_integrals_example_multiprecision_diagnostic_output_1
+``
+ooura_fourier_cos with relative error goal 3.851859888774471706111955885169854637e-34 & 15 levels.
+epsilon for type = 1.925929944387235853055977942584927319e-34
+h = 1.000000000000000000000000000000000, I_h = 0.588268622591776615359568690603776 = 0.5882686225917766153595686906037760, absolute error estimate = nan
+h = 0.500000000000000000000000000000000, I_h = 0.577871642184837461311756940493259 = 0.5778716421848374613117569404932595, absolute error estimate = 1.039698040693915404781175011051656e-02
+h = 0.250000000000000000000000000000000, I_h = 0.577863671186882539559996800783122 = 0.5778636711868825395599968007831220, absolute error estimate = 7.970997954921751760139710137450075e-06
+h = 0.125000000000000000000000000000000, I_h = 0.577863674895460885593491133506723 = 0.5778636748954608855934911335067232, absolute error estimate = 3.708578346033494332723601147051768e-09
+h = 0.062500000000000000000000000000000, I_h = 0.577863674895460858955046591656350 = 0.5778636748954608589550465916563502, absolute error estimate = 2.663844454185037302771663314961535e-17
+h = 0.031250000000000000000000000000000, I_h = 0.577863674895460858955046591656348 = 0.5778636748954608589550465916563484, absolute error estimate = 1.733336949948512267750380148326435e-33
+h = 0.015625000000000000000000000000000, I_h = 0.577863674895460858955046591656348 = 0.5778636748954608589550465916563479, absolute error estimate = 4.814824860968089632639944856462318e-34
+h = 0.007812500000000000000000000000000, I_h = 0.577863674895460858955046591656347 = 0.5778636748954608589550465916563473, absolute error estimate = 6.740754805355325485695922799047246e-34
+h = 0.003906250000000000000000000000000, I_h = 0.577863674895460858955046591656347 = 0.5778636748954608589550465916563475, absolute error estimate = 1.925929944387235853055977942584927e-34
+Integral = 5.778636748954608589550465916563475e-01, relative error estimate 3.332844800697411177051445985473052e-34
+pi/(2e)  = 5.778636748954608589550465916563481e-01, difference -6.740754805355325485695922799047246e-34
+``
+//] [/ooura_fourier_integrals_example_multiprecision_diagnostic_output_1]
+
+*/
diff --git a/src/boost/libs/math/example/owens_t_example.cpp b/src/boost/libs/math/example/owens_t_example.cpp
new file mode 100644
index 00000000..6c6d2041
--- /dev/null
+++ b/src/boost/libs/math/example/owens_t_example.cpp
@@ -0,0 +1,113 @@
+// Copyright Benjamin Sobotta 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+#include <boost/math/special_functions/owens_t.hpp>
+#include <iostream>
+
+int main()
+{
+  double h = 0.0,a;
+  std::cout << std::setprecision(20);
+  
+  static const double a_vec[] = {
+    0.5000000000000000E+00,
+    0.1000000000000000E+01,
+    0.2000000000000000E+01,
+    0.3000000000000000E+01,
+    0.5000000000000000E+00,
+    0.1000000000000000E+01,
+    0.2000000000000000E+01,
+    0.3000000000000000E+01,
+    0.5000000000000000E+00,
+    0.1000000000000000E+01,
+    0.2000000000000000E+01,
+    0.3000000000000000E+01,
+    0.5000000000000000E+00,
+    0.1000000000000000E+01,
+    0.2000000000000000E+01,
+    0.3000000000000000E+01,
+    0.5000000000000000E+00,
+    0.1000000000000000E+01,
+    0.2000000000000000E+01,
+    0.3000000000000000E+01,
+    0.1000000000000000E+02,
+    0.1000000000000000E+03 };
+
+  static const double h_vec[] = {
+    0.1000000000000000E+01,
+    0.1000000000000000E+01,
+    0.1000000000000000E+01,
+    0.1000000000000000E+01,
+    0.5000000000000000E+00,
+    0.5000000000000000E+00,
+    0.5000000000000000E+00,
+    0.5000000000000000E+00,
+    0.2500000000000000E+00,
+    0.2500000000000000E+00,
+    0.2500000000000000E+00,
+    0.2500000000000000E+00,
+    0.1250000000000000E+00,
+    0.1250000000000000E+00,
+    0.1250000000000000E+00,
+    0.1250000000000000E+00,
+    0.7812500000000000E-02,
+    0.7812500000000000E-02,
+    0.7812500000000000E-02,
+    0.7812500000000000E-02,
+    0.7812500000000000E-02,
+    0.7812500000000000E-02 };
+
+  static const double t_vec[] = {
+    0.4306469112078537E-01,
+    0.6674188216570097E-01,
+    0.7846818699308410E-01,
+    0.7929950474887259E-01,
+    0.6448860284750376E-01,
+    0.1066710629614485E+00,
+    0.1415806036539784E+00,
+    0.1510840430760184E+00,
+    0.7134663382271778E-01,
+    0.1201285306350883E+00,
+    0.1666128410939293E+00,
+    0.1847501847929859E+00,
+    0.7317273327500385E-01,
+    0.1237630544953746E+00,
+    0.1737438887583106E+00,
+    0.1951190307092811E+00,
+    0.7378938035365546E-01,
+    0.1249951430754052E+00,
+    0.1761984774738108E+00,
+    0.1987772386442824E+00,
+    0.2340886964802671E+00,
+    0.2479460829231492E+00 };
+
+  for(unsigned i = 0; i != 22; ++i)
+    {
+      h = h_vec[i];
+      a = a_vec[i];
+      const double t = boost::math::owens_t(h, a);
+      std::cout << "h=" << h << "\ta=" << a << "\tcomp="
+        << t << "\ttab=" << t_vec[i]
+        << "\tdiff=" << std::fabs(t_vec[i]-t) << std::endl;;
+    }
+
+  return 0;
+}
+
+
+// EOF
+
+
+
+
+
+
+
+
diff --git a/src/boost/libs/math/example/policy_eg_1.cpp b/src/boost/libs/math/example/policy_eg_1.cpp
new file mode 100644
index 00000000..7f8d9fbb
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_1.cpp
@@ -0,0 +1,70 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A> Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_1
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+
+// Define the policy to use:
+using namespace boost::math::policies; // may be convenient, or
+
+using boost::math::policies::policy;
+// Types of error whose action can be altered by policies:.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::pole_error;
+// Actions on error (in enum error_policy_type):
+using boost::math::policies::errno_on_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+using boost::math::policies::user_error;
+
+typedef policy<
+   domain_error<errno_on_error>,
+   pole_error<errno_on_error>,
+   overflow_error<errno_on_error>,
+   evaluation_error<errno_on_error> 
+> c_policy;
+//
+// Now use the policy when calling tgamma:
+
+// http://msdn.microsoft.com/en-us/library/t3ayayh1.aspx 
+// Microsoft errno declared in STDLIB.H as "extern int errno;" 
+
+int main()
+{
+   errno = 0; // Reset.
+   cout << "Result of tgamma(30000) is: " 
+      << tgamma(30000, c_policy()) << endl; // Too big parameter
+   cout << "errno = " << errno << endl; // errno 34 Numerical result out of range.
+   cout << "Result of tgamma(-10) is: " 
+      << boost::math::tgamma(-10, c_policy()) << endl; // Negative parameter.
+   cout << "errno = " << errno << endl; // error 33 Numerical argument out of domain.
+} // int main()
+
+//]
+
+/* Output
+
+policy_eg_1.cpp
+  Generating code
+  Finished generating code
+  policy_eg_1.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\policy_eg_1.exe
+  Result of tgamma(30000) is: 1.#INF
+  errno = 34
+  Result of tgamma(-10) is: 1.#QNAN
+  errno = 33
+
+*/
+
+
diff --git a/src/boost/libs/math/example/policy_eg_10.cpp b/src/boost/libs/math/example/policy_eg_10.cpp
new file mode 100644
index 00000000..87f84c09
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_10.cpp
@@ -0,0 +1,183 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_eg_10
+
+/*`
+
+To understand how the rounding policies for 
+the discrete distributions can be used, we'll
+use the 50-sample binomial distribution with a 
+success fraction of 0.5 once again, and calculate
+all the possible quantiles at 0.05 and 0.95.
+
+Begin by including the needed headers (and some using statements for conciseness):
+
+*/
+#include <iostream>
+using std::cout; using std::endl;
+using std::left; using std::fixed; using std::right; using std::scientific;
+#include <iomanip>
+using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/binomial.hpp>
+/*`
+
+Next we'll bring the needed declarations into scope, and
+define distribution types for all the available rounding policies:
+
+*/
+// Avoid 
+// using namespace std; // and 
+// using namespace boost::math;
+// to avoid potential ambiguity of names, like binomial.
+// using namespace boost::math::policies; is small risk, but
+// the necessary items are brought into scope thus:
+
+using boost::math::binomial_distribution;
+using boost::math::policies::policy;
+using boost::math::policies::discrete_quantile;
+
+using boost::math::policies::integer_round_outwards;
+using boost::math::policies::integer_round_down;
+using boost::math::policies::integer_round_up;
+using boost::math::policies::integer_round_nearest;
+using boost::math::policies::integer_round_inwards;
+using boost::math::policies::real;
+
+using boost::math::binomial_distribution; // Not std::binomial_distribution.
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<integer_round_outwards> > > 
+        binom_round_outwards;
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<integer_round_inwards> > > 
+        binom_round_inwards;
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<integer_round_down> > > 
+        binom_round_down;
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<integer_round_up> > > 
+        binom_round_up;
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<integer_round_nearest> > > 
+        binom_round_nearest;
+
+typedef binomial_distribution<
+            double, 
+            policy<discrete_quantile<real> > > 
+        binom_real_quantile;
+
+/*`
+Now let's set to work calling those quantiles:
+*/
+
+int main()
+{
+   cout << 
+      "Testing rounding policies for a 50 sample binomial distribution,\n"
+      "with a success fraction of 0.5.\n\n"
+      "Lower quantiles are calculated at p = 0.05\n\n"
+      "Upper quantiles at p = 0.95.\n\n";
+
+   cout << setw(25) << right
+      << "Policy"<< setw(18) << right 
+      << "Lower Quantile" << setw(18) << right 
+      << "Upper Quantile" << endl;
+   
+   // Test integer_round_outwards:
+   cout << setw(25) << right
+      << "integer_round_outwards"
+      << setw(18) << right
+      << quantile(binom_round_outwards(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_round_outwards(50, 0.5), 0.95) 
+      << endl;
+   
+   // Test integer_round_inwards:
+   cout << setw(25) << right
+      << "integer_round_inwards"
+      << setw(18) << right
+      << quantile(binom_round_inwards(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_round_inwards(50, 0.5), 0.95) 
+      << endl;
+   
+   // Test integer_round_down:
+   cout << setw(25) << right
+      << "integer_round_down"
+      << setw(18) << right
+      << quantile(binom_round_down(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_round_down(50, 0.5), 0.95) 
+      << endl;
+   
+   // Test integer_round_up:
+   cout << setw(25) << right
+      << "integer_round_up"
+      << setw(18) << right
+      << quantile(binom_round_up(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_round_up(50, 0.5), 0.95) 
+      << endl;
+   
+   // Test integer_round_nearest:
+   cout << setw(25) << right
+      << "integer_round_nearest"
+      << setw(18) << right
+      << quantile(binom_round_nearest(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_round_nearest(50, 0.5), 0.95) 
+      << endl;
+   
+   // Test real:
+   cout << setw(25) << right
+      << "real"
+      << setw(18) << right
+      << quantile(binom_real_quantile(50, 0.5), 0.05)
+      << setw(18) << right
+      << quantile(binom_real_quantile(50, 0.5), 0.95) 
+      << endl;
+} // int main()
+
+/*`
+
+Which produces the program output:
+
+[pre
+  policy_eg_10.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\policy_eg_10.exe
+  Testing rounding policies for a 50 sample binomial distribution,
+  with a success fraction of 0.5.
+  
+  Lower quantiles are calculated at p = 0.05
+  
+  Upper quantiles at p = 0.95.
+  
+                     Policy    Lower Quantile    Upper Quantile
+     integer_round_outwards                18                31
+      integer_round_inwards                19                30
+         integer_round_down                18                30
+           integer_round_up                19                31
+      integer_round_nearest                19                30
+                       real            18.701            30.299
+]
+
+*/
+
+//] //[policy_eg_10] ends quickbook import.
diff --git a/src/boost/libs/math/example/policy_eg_2.cpp b/src/boost/libs/math/example/policy_eg_2.cpp
new file mode 100644
index 00000000..3ab8312e
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_2.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_2
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+
+int main()
+{
+   // using namespace boost::math::policies; // or
+   using boost::math::policies::errno_on_error;
+   using boost::math::policies::make_policy;
+   using boost::math::policies::pole_error;
+   using boost::math::policies::domain_error;
+   using boost::math::policies::overflow_error;
+   using boost::math::policies::evaluation_error;
+
+   errno = 0;
+   std::cout << "Result of tgamma(30000) is: " 
+      << boost::math::tgamma(
+         30000, 
+         make_policy(
+            domain_error<errno_on_error>(),
+            pole_error<errno_on_error>(),
+            overflow_error<errno_on_error>(),
+            evaluation_error<errno_on_error>() 
+         )
+      ) << std::endl;
+   // Check errno was set:
+   std::cout << "errno = " << errno << std::endl;
+   // and again with evaluation at a pole:
+   std::cout << "Result of tgamma(-10) is: " 
+      << boost::math::tgamma(
+         -10, 
+         make_policy(
+            domain_error<errno_on_error>(),
+            pole_error<errno_on_error>(),
+            overflow_error<errno_on_error>(),
+            evaluation_error<errno_on_error>() 
+         )
+      ) << std::endl;
+   // Check errno was set:
+   std::cout << "errno = " << errno << std::endl;
+}
+
+//] //[/policy_eg_2]
+
+/*
+
+Output:
+
+  Result of tgamma(30000) is: 1.#INF
+  errno = 34
+  Result of tgamma(-10) is: 1.#QNAN
+  errno = 33
+*/
+
diff --git a/src/boost/libs/math/example/policy_eg_3.cpp b/src/boost/libs/math/example/policy_eg_3.cpp
new file mode 100644
index 00000000..adf8c9e4
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_3.cpp
@@ -0,0 +1,55 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2007, 2010.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4305) // 'initializing' : truncation from 'long double' to 'const eval_type'
+# pragma warning (disable : 4244) //  conversion from 'long double' to 'const eval_type'
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+
+//[policy_eg_3
+
+#include <boost/math/distributions/binomial.hpp>
+using boost::math::binomial_distribution;
+
+// Begin by defining a policy type, that gives the behaviour we want:
+
+//using namespace boost::math::policies; or explicitly
+using boost::math::policies::policy;
+
+using boost::math::policies::promote_float;
+using boost::math::policies::discrete_quantile;
+using boost::math::policies::integer_round_nearest;
+
+typedef policy<
+   promote_float<false>, // Do not promote to double.
+   discrete_quantile<integer_round_nearest> // Round result to nearest integer.
+> mypolicy;
+//
+// Then define a new distribution that uses it:
+typedef boost::math::binomial_distribution<float, mypolicy> mybinom;
+
+//  And now use it to get the quantile:
+
+int main()
+{
+   cout << "quantile(mybinom(200, 0.25), 0.05) is: " <<
+      quantile(mybinom(200, 0.25), 0.05) << endl;
+}
+
+//]
+
+/*
+
+Output:
+
+  quantile(mybinom(200, 0.25), 0.05) is: 40
+
+*/
+
diff --git a/src/boost/libs/math/example/policy_eg_4.cpp b/src/boost/libs/math/example/policy_eg_4.cpp
new file mode 100644
index 00000000..5cd28161
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_4.cpp
@@ -0,0 +1,107 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout;  using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_4
+
+/*`
+Suppose we want `C::foo()` to behave in a C-compatible way and set
+`::errno` on error rather than throwing any exceptions.
+
+We'll begin by including the needed header for our function:
+*/
+
+#include <boost/math/special_functions.hpp>
+//using boost::math::tgamma; // Not needed because using C::tgamma.
+
+/*`
+Open up the "C" namespace that we'll use for our functions, and
+define the policy type we want: in this case a C-style one that sets
+::errno and returns a standard value, rather than throwing exceptions.
+
+Any policies we don't specify here will inherit the defaults.
+*/
+
+namespace C
+{ // To hold our C-style policy.
+  //using namespace boost::math::policies; or explicitly:
+  using boost::math::policies::policy;
+
+  using boost::math::policies::domain_error;
+  using boost::math::policies::pole_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::errno_on_error;
+
+  typedef policy<
+     domain_error<errno_on_error>,
+     pole_error<errno_on_error>,
+     overflow_error<errno_on_error>,
+     evaluation_error<errno_on_error>
+  > c_policy;
+
+/*`
+All we need do now is invoke the BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS
+macro passing our policy type c_policy as the single argument:
+*/
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(c_policy)
+
+} // close namespace C
+
+/*`
+We now have a set of forwarding functions defined in namespace C
+that all look something like this:
+
+``
+template <class RealType>
+inline typename boost::math::tools::promote_args<RT>::type
+   tgamma(RT z)
+{
+   return boost::math::tgamma(z, c_policy());
+}
+``
+
+So that when we call `C::tgamma(z)`, we really end up calling
+`boost::math::tgamma(z, C::c_policy())`:
+*/
+
+int main()
+{
+   errno = 0;
+   cout << "Result of tgamma(30000) is: "
+      << C::tgamma(30000) << endl; // Note using C::tgamma
+   cout << "errno = " << errno << endl; // errno = 34
+   cout << "Result of tgamma(-10) is: "
+      << C::tgamma(-10) << endl;
+   cout << "errno = " << errno << endl; // errno = 33, overwriting previous value of 34.
+}
+
+/*`
+
+Which outputs:
+
+[pre
+Result of C::tgamma(30000) is: 1.#INF
+errno = 34
+Result of C::tgamma(-10) is: 1.#QNAN
+errno = 33
+]
+
+This mechanism is particularly useful when we want to define a project-wide policy,
+and don't want to modify the Boost source,
+or to set project wide build macros (possibly fragile and easy to forget).
+
+*/
+//] //[/policy_eg_4]
+
diff --git a/src/boost/libs/math/example/policy_eg_5.cpp b/src/boost/libs/math/example/policy_eg_5.cpp
new file mode 100644
index 00000000..d022c9c8
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_5.cpp
@@ -0,0 +1,66 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout;  using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_5
+
+#include <boost/math/special_functions.hpp>
+// using boost::math::tgamma; // Would create an ambiguity between
+// 'double boost::math::tgamma<int>(T)' and
+// 'double 'anonymous-namespace'::tgamma<int>(RT)'.
+
+namespace mymath
+{ // unnamed
+
+using namespace boost::math::policies;
+
+typedef policy<
+   domain_error<errno_on_error>,
+   pole_error<errno_on_error>,
+   overflow_error<errno_on_error>,
+   evaluation_error<errno_on_error>
+> c_policy;
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(c_policy)
+
+/*`
+So that when we call `mymath::tgamma(z)`, we really end up calling
+ `boost::math::tgamma(z, anonymous-namespace::c_policy())`.
+*/
+
+} // close unnamed namespace
+
+int main()
+{
+   errno = 0;
+   cout << "Result of tgamma(30000) is: "
+      << mymath::tgamma(30000) << endl;
+      // tgamma in unnamed namespace in this translation unit (file) only.
+   cout << "errno = " << errno << endl;
+   cout << "Result of tgamma(-10) is: "
+      << mymath::tgamma(-10) << endl;
+   cout << "errno = " << errno << endl;
+   // Default tgamma policy would throw an exception, and abort.
+}
+
+//] //[/policy_eg_5]
+
+/*
+Output:
+
+  Result of tgamma(30000) is: 1.#INF
+  errno = 34
+  Result of tgamma(-10) is: 1.#QNAN
+  errno = 33
+
+
+*/
diff --git a/src/boost/libs/math/example/policy_eg_6.cpp b/src/boost/libs/math/example/policy_eg_6.cpp
new file mode 100644
index 00000000..57f92fcc
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_6.cpp
@@ -0,0 +1,121 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout;  using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_6
+
+/*`
+Suppose we want a set of distributions to behave as follows:
+
+* Return infinity on overflow, rather than throwing an exception.
+* Don't perform any promotion from double to long double internally.
+* Return the closest integer result from the quantiles of discrete
+distributions.
+
+We'll begin by including the needed header for all the distributions:
+*/
+
+#include <boost/math/distributions.hpp>
+
+/*`
+
+Open up an appropriate namespace, calling it `my_distributions`,
+for our distributions, and define the policy type we want.
+Any policies we don't specify here will inherit the defaults:
+
+*/
+
+namespace my_distributions
+{
+  using namespace boost::math::policies;
+  // using boost::math::policies::errno_on_error; // etc.
+
+  typedef policy<
+     // return infinity and set errno rather than throw:
+     overflow_error<errno_on_error>,
+     // Don't promote double -> long double internally:
+     promote_double<false>,
+     // Return the closest integer result for discrete quantiles:
+     discrete_quantile<integer_round_nearest>
+  > my_policy;
+
+/*`
+
+All we need do now is invoke the BOOST_MATH_DECLARE_DISTRIBUTIONS
+macro passing the floating point type `double` and policy types `my_policy` as arguments:
+
+*/
+
+BOOST_MATH_DECLARE_DISTRIBUTIONS(double, my_policy)
+
+} // close namespace my_namespace
+
+/*`
+
+We now have a set of typedefs defined in namespace my_distributions
+that all look something like this:
+
+``
+typedef boost::math::normal_distribution<double, my_policy> normal;
+typedef boost::math::cauchy_distribution<double, my_policy> cauchy;
+typedef boost::math::gamma_distribution<double, my_policy> gamma;
+// etc
+``
+
+So that when we use my_distributions::normal we really end up using
+`boost::math::normal_distribution<double, my_policy>`:
+
+*/
+
+int main()
+{
+   // Construct distribution with something we know will overflow
+  // (using double rather than if promoted to long double):
+   my_distributions::normal norm(10, 2);
+
+   errno = 0;
+   cout << "Result of quantile(norm, 0) is: "
+      << quantile(norm, 0) << endl; // -infinity.
+   cout << "errno = " << errno << endl;
+   errno = 0;
+   cout << "Result of quantile(norm, 1) is: "
+      << quantile(norm, 1) << endl; // +infinity.
+   cout << "errno = " << errno << endl;
+
+   // Now try a discrete distribution.
+   my_distributions::binomial binom(20, 0.25);
+   cout << "Result of quantile(binom, 0.05) is: "
+      << quantile(binom, 0.05) << endl; // To check we get integer results.
+   cout << "Result of quantile(complement(binom, 0.05)) is: "
+      << quantile(complement(binom, 0.05)) << endl;
+}
+
+/*`
+
+Which outputs:
+
+[pre
+Result of quantile(norm, 0) is: -1.#INF
+errno = 34
+Result of quantile(norm, 1) is: 1.#INF
+errno = 34
+Result of quantile(binom, 0.05) is: 1
+Result of quantile(complement(binom, 0.05)) is: 8
+]
+
+This mechanism is particularly useful when we want to define a
+project-wide policy, and don't want to modify the Boost source
+or set  project wide build macros (possibly fragile and easy to forget).
+
+*/
+//] //[/policy_eg_6]
+
diff --git a/src/boost/libs/math/example/policy_eg_7.cpp b/src/boost/libs/math/example/policy_eg_7.cpp
new file mode 100644
index 00000000..70a49504
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_7.cpp
@@ -0,0 +1,73 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout;  using std::endl;
+#include <cerrno> // for ::errno
+
+//[policy_eg_7
+
+#include <boost/math/distributions.hpp> // All distributions.
+// using boost::math::normal; // Would create an ambguity between
+// boost::math::normal_distribution<RealType> boost::math::normal and
+// 'anonymous-namespace'::normal'.
+
+namespace
+{ // anonymous or unnnamed (rather than named as in policy_eg_6.cpp).
+
+  using namespace boost::math::policies;
+   // using boost::math::policies::errno_on_error; // etc.
+  typedef policy<
+     // return infinity and set errno rather than throw:
+     overflow_error<errno_on_error>,
+     // Don't promote double -> long double internally:
+     promote_double<false>,
+     // Return the closest integer result for discrete quantiles:
+     discrete_quantile<integer_round_nearest>
+  > my_policy;
+
+  BOOST_MATH_DECLARE_DISTRIBUTIONS(double, my_policy)
+
+} // close namespace my_namespace
+
+int main()
+{
+   // Construct distribution with something we know will overflow.
+   normal norm(10, 2); // using 'anonymous-namespace'::normal
+   errno = 0;
+   cout << "Result of quantile(norm, 0) is: " 
+      << quantile(norm, 0) << endl;
+   cout << "errno = " << errno << endl;
+   errno = 0;
+   cout << "Result of quantile(norm, 1) is: " 
+      << quantile(norm, 1) << endl;
+   cout << "errno = " << errno << endl;
+   //
+   // Now try a discrete distribution:
+   binomial binom(20, 0.25);
+   cout << "Result of quantile(binom, 0.05) is: " 
+      << quantile(binom, 0.05) << endl;
+   cout << "Result of quantile(complement(binom, 0.05)) is: " 
+      << quantile(complement(binom, 0.05)) << endl;
+}
+
+//] //[/policy_eg_7]
+
+/*
+
+Output:
+
+  Result of quantile(norm, 0) is: -1.#INF
+  errno = 34
+  Result of quantile(norm, 1) is: 1.#INF
+  errno = 34
+  Result of quantile(binom, 0.05) is: 1
+  Result of quantile(complement(binom, 0.05)) is: 8
+
+*/
diff --git a/src/boost/libs/math/example/policy_eg_8.cpp b/src/boost/libs/math/example/policy_eg_8.cpp
new file mode 100644
index 00000000..775f042e
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_8.cpp
@@ -0,0 +1,133 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul a. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4100) // unreferenced formal parameters
+#endif
+
+#include <iostream>
+using std::cout;  using std::endl; using std::cerr;
+
+//[policy_eg_8
+
+/*`
+Suppose we want our own user-defined error handlers rather than the
+any of the default ones supplied by the library to be used.
+If we set the policy for a specific type of error to `user_error`
+then the library will call a user-supplied error handler.
+These are forward declared, but not defined in
+boost/math/policies/error_handling.hpp like this:
+
+   namespace boost{ namespace math{ namespace policies{
+
+   template <class T>
+   T user_domain_error(const char* function, const char* message, const T& val);
+   template <class T>
+   T user_pole_error(const char* function, const char* message, const T& val);
+   template <class T>
+   T user_overflow_error(const char* function, const char* message, const T& val);
+   template <class T>
+   T user_underflow_error(const char* function, const char* message, const T& val);
+   template <class T>
+   T user_denorm_error(const char* function, const char* message, const T& val);
+   template <class T>
+   T user_evaluation_error(const char* function, const char* message, const T& val);
+   template <class T, class TargetType>
+   T user_rounding_error(const char* function, const char* message, const T& val, const TargetType& t);
+   template <class T>
+   T user_indeterminate_result_error(const char* function, const char* message, const T& val);
+
+   }}} // namespaces
+
+So out first job is to include the header we want to use, and then
+provide definitions for our user-defined error handlers that we want to use.
+We only provide our special domain and pole error handlers;
+other errors like overflow and underflow use the default.
+*/
+
+#include <boost/math/special_functions.hpp>
+
+namespace boost{ namespace math
+{
+  namespace policies
+  {
+    template <class T>
+    T user_domain_error(const char* function, const char* message, const T& val)
+    { // Ignoring function, message and val for this example, perhaps unhelpfully.
+       cerr << "Domain Error!" << endl;
+       return std::numeric_limits<T>::quiet_NaN();
+    }
+
+    template <class T>
+    T user_pole_error(const char* function, const char* message, const T& val)
+    { // Ignoring function, message and val for this example, perhaps unhelpfully.
+       cerr << "Pole Error!" << endl;
+       return std::numeric_limits<T>::quiet_NaN();
+    }
+  } // namespace policies
+}} // namespace boost{ namespace math
+
+
+/*`
+Now we'll need to define a suitable policy that will call these handlers,
+and define some forwarding functions that make use of the policy:
+*/
+
+namespace mymath{
+
+using namespace boost::math::policies;
+
+typedef policy<
+   domain_error<user_error>,
+   pole_error<user_error>
+> user_error_policy;
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(user_error_policy)
+
+} // close unnamed namespace
+
+/*`
+We now have a set of forwarding functions defined in namespace mymath
+that all look something like this:
+
+``
+template <class RealType>
+inline typename boost::math::tools::promote_args<RT>::type
+   tgamma(RT z)
+{
+   return boost::math::tgamma(z, user_error_policy());
+}
+``
+
+So that when we call `mymath::tgamma(z)` we really end up calling
+`boost::math::tgamma(z, user_error_policy())`, and any
+errors will get directed to our own error handlers.
+*/
+
+int main()
+{
+   cout << "Result of erf_inv(-10) is: "
+      << mymath::erf_inv(-10) << endl;
+   cout << "Result of tgamma(-10) is: "
+      << mymath::tgamma(-10) << endl;
+}
+
+/*`
+
+Which outputs:
+
+[pre
+  Domain Error!
+  Pole Error!
+  Result of erf_inv(-10) is: 1.#QNAN
+  Result of tgamma(-10) is: 1.#QNAN
+]
+*/
+
+//] // //[/policy_eg_8]
diff --git a/src/boost/libs/math/example/policy_eg_9.cpp b/src/boost/libs/math/example/policy_eg_9.cpp
new file mode 100644
index 00000000..c1895220
--- /dev/null
+++ b/src/boost/libs/math/example/policy_eg_9.cpp
@@ -0,0 +1,313 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+#include <boost/format.hpp>
+using std::cout; using std::endl; using std::cerr;
+
+//[policy_eg_9
+
+/*`
+The previous example was all well and good, but the custom error handlers
+didn't really do much of any use.  In this example we'll implement all
+the custom handlers and show how the information provided to them can be
+used to generate nice formatted error messages.
+
+Each error handler has the general form:
+
+   template <class T>
+   T user_``['error_type]``(
+      const char* function,
+      const char* message,
+      const T& val);
+
+and accepts three arguments:
+
+[variablelist
+[[const char* function]
+   [The name of the function that raised the error, this string
+   contains one or more %1% format specifiers that should be
+   replaced by the name of real type T, like float or double.]]
+[[const char* message]
+   [A message associated with the error, normally this
+   contains a %1% format specifier that should be replaced with
+   the value of ['value]: however note that overflow and underflow messages
+   do not contain this %1% specifier (since the value of ['value] is
+   immaterial in these cases).]]
+[[const T& value]
+   [The value that caused the error: either an argument to the function
+   if this is a domain or pole error, the tentative result
+   if this is a denorm or evaluation error, or zero or infinity for
+   underflow or overflow errors.]]
+]
+
+As before we'll include the headers we need first:
+
+*/
+
+#include <boost/math/special_functions.hpp>
+
+/*`
+Next we'll implement our own error handlers for each type of error,
+starting with domain errors:
+*/
+
+namespace boost{ namespace math{
+namespace policies
+{
+
+template <class T>
+T user_domain_error(const char* function, const char* message, const T& val)
+{
+   /*`
+   We'll begin with a bit of defensive programming in case function or message are empty:
+   */
+   if(function == 0)
+       function = "Unknown function with arguments of type %1%";
+   if(message == 0)
+       message = "Cause unknown with bad argument %1%";
+   /*`
+   Next we'll format the name of the function with the name of type T, perhaps double:
+   */
+   std::string msg("Error in function ");
+   msg += (boost::format(function) % typeid(T).name()).str();
+   /*`
+   Then likewise format the error message with the value of parameter /val/,
+   making sure we output all the potentially significant digits of /val/:
+   */
+   msg += ": \n";
+   int prec = 2 + (std::numeric_limits<T>::digits * 30103UL) / 100000UL;
+   // int prec = std::numeric_limits<T>::max_digits10; //  For C++0X Standard Library
+   msg += (boost::format(message) % boost::io::group(std::setprecision(prec), val)).str();
+   /*`
+   Now we just have to do something with the message, we could throw an
+   exception, but for the purposes of this example we'll just dump the message
+   to std::cerr:
+   */
+   std::cerr << msg << std::endl;
+   /*`
+   Finally the only sensible value we can return from a domain error is a NaN:
+   */
+   return std::numeric_limits<T>::quiet_NaN();
+}
+
+/*`
+Pole errors are essentially a special case of domain errors,
+so in this example we'll just return the result of a domain error:
+*/
+
+template <class T>
+T user_pole_error(const char* function, const char* message, const T& val)
+{
+   return user_domain_error(function, message, val);
+}
+
+/*`
+Overflow errors are very similar to domain errors, except that there's
+no %1% format specifier in the /message/ parameter:
+*/
+template <class T>
+T user_overflow_error(const char* function, const char* message, const T& val)
+{
+   if(function == 0)
+       function = "Unknown function with arguments of type %1%";
+   if(message == 0)
+       message = "Result of function is too large to represent";
+
+   std::string msg("Error in function ");
+   msg += (boost::format(function) % typeid(T).name()).str();
+
+   msg += ": \n";
+   msg += message;
+
+   std::cerr << msg << std::endl;
+
+   // Value passed to the function is an infinity, just return it:
+   return val;
+}
+
+/*`
+Underflow errors are much the same as overflow:
+*/
+
+template <class T>
+T user_underflow_error(const char* function, const char* message, const T& val)
+{
+   if(function == 0)
+       function = "Unknown function with arguments of type %1%";
+   if(message == 0)
+       message = "Result of function is too small to represent";
+
+   std::string msg("Error in function ");
+   msg += (boost::format(function) % typeid(T).name()).str();
+
+   msg += ": \n";
+   msg += message;
+
+   std::cerr << msg << std::endl;
+
+   // Value passed to the function is zero, just return it:
+   return val;
+}
+
+/*`
+Denormalised results are much the same as underflow:
+*/
+
+template <class T>
+T user_denorm_error(const char* function, const char* message, const T& val)
+{
+   if(function == 0)
+       function = "Unknown function with arguments of type %1%";
+   if(message == 0)
+       message = "Result of function is denormalised";
+
+   std::string msg("Error in function ");
+   msg += (boost::format(function) % typeid(T).name()).str();
+
+   msg += ": \n";
+   msg += message;
+
+   std::cerr << msg << std::endl;
+
+   // Value passed to the function is denormalised, just return it:
+   return val;
+}
+
+/*`
+Which leaves us with evaluation errors: these occur when an internal
+error occurs that prevents the function being fully evaluated.
+The parameter /val/ contains the closest approximation to the result
+found so far:
+*/
+
+template <class T>
+T user_evaluation_error(const char* function, const char* message, const T& val)
+{
+   if(function == 0)
+       function = "Unknown function with arguments of type %1%";
+   if(message == 0)
+       message = "An internal evaluation error occurred with "
+                  "the best value calculated so far of %1%";
+
+   std::string msg("Error in function ");
+   msg += (boost::format(function) % typeid(T).name()).str();
+
+   msg += ": \n";
+   int prec = 2 + (std::numeric_limits<T>::digits * 30103UL) / 100000UL;
+   // int prec = std::numeric_limits<T>::max_digits10; // For C++0X Standard Library
+   msg += (boost::format(message) % boost::io::group(std::setprecision(prec), val)).str();
+
+   std::cerr << msg << std::endl;
+
+   // What do we return here?  This is generally a fatal error, that should never occur,
+   // so we just return a NaN for the purposes of the example:
+   return std::numeric_limits<T>::quiet_NaN();
+}
+
+} // policies
+}} // boost::math
+
+
+/*`
+Now we'll need to define a suitable policy that will call these handlers,
+and define some forwarding functions that make use of the policy:
+*/
+
+namespace mymath
+{ // unnamed.
+
+using namespace boost::math::policies;
+
+typedef policy<
+   domain_error<user_error>,
+   pole_error<user_error>,
+   overflow_error<user_error>,
+   underflow_error<user_error>,
+   denorm_error<user_error>,
+   evaluation_error<user_error>
+> user_error_policy;
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(user_error_policy)
+
+} // unnamed namespace
+
+/*`
+We now have a set of forwarding functions, defined in namespace mymath,
+that all look something like this:
+
+``
+template <class RealType>
+inline typename boost::math::tools::promote_args<RT>::type
+   tgamma(RT z)
+{
+   return boost::math::tgamma(z, user_error_policy());
+}
+``
+
+So that when we call `mymath::tgamma(z)` we really end up calling
+`boost::math::tgamma(z, user_error_policy())`, and any
+errors will get directed to our own error handlers:
+*/
+
+int main()
+{
+   // Raise a domain error:
+   cout << "Result of erf_inv(-10) is: "
+      << mymath::erf_inv(-10) << std::endl << endl;
+   // Raise a pole error:
+   cout << "Result of tgamma(-10) is: "
+      << mymath::tgamma(-10) << std::endl << endl;
+   // Raise an overflow error:
+   cout << "Result of tgamma(3000) is: "
+      << mymath::tgamma(3000) << std::endl << endl;
+   // Raise an underflow error:
+   cout << "Result of tgamma(-190.5) is: "
+      << mymath::tgamma(-190.5) << std::endl << endl;
+   // Unfortunately we can't predicably raise a denormalised
+   // result, nor can we raise an evaluation error in this example
+   // since these should never really occur!
+} // int main()
+
+/*`
+
+Which outputs:
+
+[pre
+Error in function boost::math::erf_inv<double>(double, double):
+Argument outside range \[-1, 1\] in inverse erf function (got p=-10).
+Result of erf_inv(-10) is: 1.#QNAN
+
+Error in function boost::math::tgamma<long double>(long double):
+Evaluation of tgamma at a negative integer -10.
+Result of tgamma(-10) is: 1.#QNAN
+
+Error in function boost::math::tgamma<long double>(long double):
+Result of tgamma is too large to represent.
+Error in function boost::math::tgamma<double>(double):
+Result of function is too large to represent
+Result of tgamma(3000) is: 1.#INF
+
+Error in function boost::math::tgamma<long double>(long double):
+Result of tgamma is too large to represent.
+Error in function boost::math::tgamma<long double>(long double):
+Result of tgamma is too small to represent.
+Result of tgamma(-190.5) is: 0
+]
+
+Notice how some of the calls result in an error handler being called more
+than once, or for more than one handler to be called: this is an artefact
+of the fact that many functions are implemented in terms of one or more
+sub-routines each of which may have it's own error handling.  For example
+`tgamma(-190.5)` is implemented in terms of `tgamma(190.5)` - which overflows -
+the reflection formula for `tgamma` then notices that it is dividing by
+infinity and so underflows.
+*/
+
+//] //[/policy_eg_9]
diff --git a/src/boost/libs/math/example/policy_ref_snip1.cpp b/src/boost/libs/math/example/policy_ref_snip1.cpp
new file mode 100644
index 00000000..21771939
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip1.cpp
@@ -0,0 +1,75 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_ref_snip1
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+
+//using namespace boost::math::policies; may also be convenient.
+using boost::math::policies::policy;
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::pole_error;
+using boost::math::policies::errno_on_error;
+
+// Define a policy:
+typedef policy<
+  domain_error<errno_on_error>, 
+  pole_error<errno_on_error>,
+  overflow_error<errno_on_error>,
+  evaluation_error<errno_on_error> 
+> my_policy;
+
+double my_value = 0.; // 
+
+// Call the function applying my_policy:
+double t1 = tgamma(my_value, my_policy());
+
+// Alternatively (and equivalently) we could use helpful function
+// make_policy and define everything at the call site:
+double t2 = tgamma(my_value,
+  make_policy(
+    domain_error<errno_on_error>(), 
+    pole_error<errno_on_error>(),
+    overflow_error<errno_on_error>(),
+    evaluation_error<errno_on_error>() )
+  );
+//]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+  cout << "my_value = " << my_value << endl;
+  try
+  { // First with default policy - throw an exception.
+     cout << "tgamma(my_value) = " << tgamma(my_value) << endl; 
+  }
+  catch(const std::exception& e)
+  {
+     cout <<"\n""Message from thrown exception was:\n   " << e.what() << endl;
+  }
+
+  cout << "tgamma(my_value, my_policy() = " << t1 << endl;
+  cout << "tgamma(my_value, make_policy(domain_error<errno_on_error>(), pole_error<errno_on_error>(), overflow_error<errno_on_error>(), evaluation_error<errno_on_error>() ) = " << t2 << endl;
+}
+
+/*
+Output:
+  my_value = 0
+  
+  Message from thrown exception was:
+     Error in function boost::math::tgamma<long double>(long double): Evaluation of tgamma at a negative integer 0.
+  tgamma(my_value, my_policy() = 1.#QNAN
+  tgamma(my_value, make_policy(domain_error<errno_on_error>(), pole_error<errno_on_error>(), overflow_error<errno_on_error>(), evaluation_error<errno_on_error>() ) = 1.#QNAN
+*/
diff --git a/src/boost/libs/math/example/policy_ref_snip10.cpp b/src/boost/libs/math/example/policy_ref_snip10.cpp
new file mode 100644
index 00000000..a4806dc6
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip10.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// Setting precision in a single function call using make_policy.
+
+#include <iostream>
+using std::cout; using std::endl;
+
+//[policy_ref_snip10
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+
+using namespace boost::math::policies;
+
+double t = tgamma(12, policy<digits10<5> >());  // Concise make_policy.
+
+//] //[/policy_ref_snip10]
+
+
+
+int main()
+{
+   cout << "tgamma(12, policy<digits10<5> >())  = "<< t << endl;
+}
+
+/*
+
+Output:
+
+ tgamma(12, policy<digits10<5> >())  = 3.99168e+007
+
+*/
+
diff --git a/src/boost/libs/math/example/policy_ref_snip11.cpp b/src/boost/libs/math/example/policy_ref_snip11.cpp
new file mode 100644
index 00000000..9e82750a
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip11.cpp
@@ -0,0 +1,45 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout; using std::endl;
+
+// Setting (approximate) precision 25 bits in a single function call using make_policy.
+
+//[policy_ref_snip11
+
+#include <boost/math/distributions/normal.hpp>
+using boost::math::normal_distribution;
+
+using namespace boost::math::policies;
+
+const int bits = 25; // approximate precision.
+
+double q = quantile(
+      normal_distribution<double, policy<digits2<bits> > >(), 
+      0.05); // 5% quantile.
+
+//] //[/policy_ref_snip11]
+
+int main()
+{
+  std::streamsize p = 2 + (bits * 30103UL) / 100000UL; 
+  // Approximate number of significant decimal digits for 25 bits.
+  cout.precision(p); 
+  cout << bits << " binary bits is approoximately equivalent to " << p << " decimal digits " << endl;
+  cout << "quantile(normal_distribution<double, policy<digits2<25> > >(), 0.05  = "
+     << q << endl; // -1.64485
+}
+
+/*
+Output:
+  25 binary bits is approoximately equivalent to 9 decimal digits 
+  quantile(normal_distribution<double, policy<digits2<25> > >(), 0.05  = -1.64485363
+  */
+
diff --git a/src/boost/libs/math/example/policy_ref_snip12.cpp b/src/boost/libs/math/example/policy_ref_snip12.cpp
new file mode 100644
index 00000000..e406ce56
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip12.cpp
@@ -0,0 +1,55 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// Define tgamma function with a no overflow policy
+// into a specific namespace-scope.
+
+#include <iostream>
+using std::cout; using std::endl;
+
+//[policy_ref_snip12
+
+#include <boost/math/special_functions/gamma.hpp>
+//using boost::math::tgamma;
+// Need not declare using boost::math::tgamma here,
+// because will define tgamma in myspace using macro below.
+
+namespace myspace
+{
+  using namespace boost::math::policies;
+
+  // Define a policy that does not throw on overflow:
+  typedef policy<overflow_error<errno_on_error> > my_policy;
+
+  // Define the special functions in this scope to use the policy:   
+  BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(my_policy)
+}
+
+// Now we can use myspace::tgamma etc.
+// They will automatically use "my_policy":
+//
+double t = myspace::tgamma(30.0); // Will *not* throw on overflow,
+// despite the large value of factorial 30 = 265252859812191058636308480000000
+// unlike default policy boost::math::tgamma;
+
+//]
+
+int main()
+{
+   cout << "myspace::tgamma(30.0) = " << t << endl;
+}
+
+/*
+
+Output:
+
+myspace::tgamma(30.0) = 8.84176e+030
+
+*/
+
diff --git a/src/boost/libs/math/example/policy_ref_snip13.cpp b/src/boost/libs/math/example/policy_ref_snip13.cpp
new file mode 100644
index 00000000..ce4b0948
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip13.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <boost/config.hpp>
+#ifdef _MSC_VER
+#  pragma warning (disable : 4189) //  'd' : local variable is initialized but not referenced
+#endif
+#ifdef BOOST_GCC
+#  pragma GCC diagnostic ignored "-Wunused-variable"
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+
+#include <stdexcept>
+using std::domain_error;
+
+//[policy_ref_snip13
+
+#include <boost/math/distributions/cauchy.hpp>
+
+namespace myspace
+{ // using namespace boost::math::policies; // May be convenient in myspace.
+
+  // Define a policy called my_policy to use.
+  using boost::math::policies::policy;
+  
+// In this case we want all the distribution accessor functions to compile,
+// even if they are mathematically undefined, so
+// make the policy assert_undefined.
+  using boost::math::policies::assert_undefined;
+
+typedef policy<assert_undefined<false> > my_policy;
+
+// Finally apply this policy to type double.
+BOOST_MATH_DECLARE_DISTRIBUTIONS(double, my_policy)
+} // namespace myspace
+
+// Now we can use myspace::cauchy etc, which will use policy
+// myspace::mypolicy:
+//
+// This compiles but throws a domain error exception at runtime.
+// Caution! If you omit the try'n'catch blocks, 
+// it will just silently terminate, giving no clues as to why! 
+// So try'n'catch blocks are very strongly recommended.
+
+void test_cauchy()
+{
+   try
+   {
+      double d = mean(myspace::cauchy());  // Cauchy does not have a mean!
+      (void) d;
+   }
+   catch(const std::domain_error& e)
+   {
+      cout << e.what() << endl;
+   }
+}
+
+//] //[/policy_ref_snip13]
+
+int main()
+{
+   test_cauchy();
+}
+
+/*
+
+Output:
+
+policy_snip_13.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\policy_snip_13.exe
+  Error in function boost::math::mean(cauchy<double>&): The Cauchy distribution does not have a mean: the only possible return value is 1.#QNAN.
+
+  */
+
diff --git a/src/boost/libs/math/example/policy_ref_snip2.cpp b/src/boost/libs/math/example/policy_ref_snip2.cpp
new file mode 100644
index 00000000..304250d4
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip2.cpp
@@ -0,0 +1,47 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout;  using std::endl;
+
+//[policy_ref_snip2
+
+#include <boost/math/distributions/normal.hpp>
+using boost::math::normal_distribution;
+
+using namespace boost::math::policies;
+
+// Define a specific policy:
+typedef policy<
+      overflow_error<ignore_error>
+      > my_policy;
+      
+// Define the distribution, using my_policy:
+typedef normal_distribution<double, my_policy> my_norm;
+
+// Construct a my_norm distribution, using default mean and standard deviation,
+// and get a 0.05 or 5% quantile:
+double q = quantile(my_norm(), 0.05); // = -1.64485
+
+//] //[/policy_ref_snip2]
+
+int main()
+{
+  my_norm n; // Construct a my_norm distribution,
+  // using default mean zero and standard deviation unity.
+  double q = quantile(n, 0.05); // and get a quantile.
+  cout << "quantile(my_norm(), 0.05) = " << q << endl;
+}
+
+/*
+
+Output:
+
+  quantile(my_norm(), 0.05) = -1.64485
+*/
diff --git a/src/boost/libs/math/example/policy_ref_snip3.cpp b/src/boost/libs/math/example/policy_ref_snip3.cpp
new file mode 100644
index 00000000..b3820ad3
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip3.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+double some_value = 2.;
+
+//[policy_ref_snip3
+
+#include <boost/math/special_functions/gamma.hpp>
+
+using namespace boost::math::policies;
+using boost::math::tgamma;
+
+// Define a new policy *not* internally promoting RealType to double:
+typedef policy<
+      promote_double<false> 
+      > my_policy;
+      
+// Call the function, applying the new policy:
+double t1 = tgamma(some_value, my_policy());
+
+// Alternatively we could use helper function make_policy,
+// and concisely define everything at the call site:
+double t2 = tgamma(some_value, make_policy(promote_double<false>()));
+
+//] //[\policy_ref_snip3]
+
+#include <iostream>
+using std::cout;  using std::endl;
+
+int main()
+{
+   cout << "tgamma(some_value, my_policy()) = " << t1 
+     << ", tgamma(some_value, make_policy(promote_double<false>()) = " << t2 << endl;
+}
diff --git a/src/boost/libs/math/example/policy_ref_snip4.cpp b/src/boost/libs/math/example/policy_ref_snip4.cpp
new file mode 100644
index 00000000..7df35be1
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip4.cpp
@@ -0,0 +1,41 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4305) // 'initializing' : truncation from 'long double' to 'const eval_type'
+# pragma warning (disable : 4244) // 'conversion' : truncation from 'long double' to 'const eval_type'
+#endif
+
+//[policy_ref_snip4
+
+#include <boost/math/distributions/normal.hpp>
+using boost::math::normal_distribution;
+
+using namespace boost::math::policies;
+
+// Define a policy:
+typedef policy<
+      promote_float<false>
+      > my_policy;
+
+// Define the new normal distribution using my_policy:
+typedef normal_distribution<float, my_policy> my_norm;
+
+// Get a quantile:
+float q = quantile(my_norm(), 0.05f);
+
+//] [policy_ref_snip4]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+   cout << " quantile(my_norm(), 0.05f) = " << q << endl; //   -1.64485
+}
diff --git a/src/boost/libs/math/example/policy_ref_snip5.cpp b/src/boost/libs/math/example/policy_ref_snip5.cpp
new file mode 100644
index 00000000..06f270af
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip5.cpp
@@ -0,0 +1,45 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_ref_snip5
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial_distribution;
+
+using namespace boost::math::policies;
+
+typedef negative_binomial_distribution<
+      double, 
+      policy<discrete_quantile<real> > 
+   > dist_type;
+   
+// Lower 5% quantile:
+double x = quantile(dist_type(20, 0.3), 0.05);
+// Upper 95% quantile:
+double y = quantile(complement(dist_type(20, 0.3), 0.05));
+
+//] //[/policy_ref_snip5]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+  cout << "quantile(dist_type(20, 0.3), 0.05)  = " << x 
+    << "\nquantile(complement(dist_type(20, 0.3), 0.05) = " << y << endl;
+}
+
+/*
+
+Output:
+  quantile(dist_type(20, 0.3), 0.05)  = 27.3898
+  quantile(complement(dist_type(20, 0.3), 0.05) = 68.1584
+
+  */
+
diff --git a/src/boost/libs/math/example/policy_ref_snip6.cpp b/src/boost/libs/math/example/policy_ref_snip6.cpp
new file mode 100644
index 00000000..9dc20729
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip6.cpp
@@ -0,0 +1,38 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_ref_snip6
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial;
+
+// Use the default rounding policy integer_round_outwards.
+// Lower quantile rounded down:
+double x = quantile(negative_binomial(20, 0.3), 0.05); // rounded up 27 from 27.3898
+// Upper quantile rounded up:
+double y = quantile(complement(negative_binomial(20, 0.3), 0.05)); // rounded down to 69 from 68.1584
+
+//] //[/policy_ref_snip6]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+   cout << "quantile(negative_binomial(20, 0.3), 0.05) = "<< x <<endl
+     << "quantile(complement(negative_binomial(20, 0.3), 0.05)) = " << y << endl;
+}
+
+/*
+Output:
+
+  quantile(negative_binomial(20, 0.3), 0.05) = 27
+  quantile(complement(negative_binomial(20, 0.3), 0.05)) = 69
+*/
+
diff --git a/src/boost/libs/math/example/policy_ref_snip7.cpp b/src/boost/libs/math/example/policy_ref_snip7.cpp
new file mode 100644
index 00000000..004205b0
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip7.cpp
@@ -0,0 +1,48 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_ref_snip7
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial_distribution;
+
+using namespace boost::math::policies;
+
+typedef negative_binomial_distribution<
+      double, 
+      policy<discrete_quantile<integer_round_inwards> > 
+   > dist_type;
+   
+// Lower quantile rounded up:
+double x = quantile(dist_type(20, 0.3), 0.05); // 28 rounded up from 27.3898
+// Upper quantile rounded down:
+double y = quantile(complement(dist_type(20, 0.3), 0.05)); // 68 rounded down from 68.1584
+
+//] //[/policy_ref_snip7]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+   cout << "using policy<discrete_quantile<integer_round_inwards> > " << endl
+   << "quantile(dist_type(20, 0.3), 0.05) = " << x << endl 
+   << "quantile(complement(dist_type(20, 0.3), 0.05)) =  " << y << endl;
+}
+
+/*
+
+Output:
+  using policy<discrete_quantile<integer_round_inwards> > 
+  quantile(dist_type(20, 0.3), 0.05) = 28
+  quantile(complement(dist_type(20, 0.3), 0.05)) =  68
+
+
+*/
+
diff --git a/src/boost/libs/math/example/policy_ref_snip8.cpp b/src/boost/libs/math/example/policy_ref_snip8.cpp
new file mode 100644
index 00000000..abc48b9a
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip8.cpp
@@ -0,0 +1,47 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//[policy_ref_snip8
+
+#include <boost/math/distributions/negative_binomial.hpp>
+using boost::math::negative_binomial_distribution;
+
+using namespace boost::math::policies;
+
+typedef negative_binomial_distribution<
+      double, 
+      policy<discrete_quantile<integer_round_nearest> > 
+   > dist_type;
+   
+// Lower quantile rounded (down) to nearest:
+double x = quantile(dist_type(20, 0.3), 0.05); // 27
+// Upper quantile rounded (down) to nearest:
+double y = quantile(complement(dist_type(20, 0.3), 0.05)); // 68
+
+//] //[/policy_ref_snip8]
+
+#include <iostream>
+using std::cout; using std::endl;
+
+int main()
+{
+   cout << "using policy<discrete_quantile<integer_round_nearest> " << endl
+     << "quantile(dist_type(20, 0.3), 0.05) = " << x << endl
+     << "quantile(complement(dist_type(20, 0.3), 0.05)) " << y << endl;
+}
+
+/*
+
+Output:
+
+   using policy<discrete_quantile<integer_round_nearest> 
+  quantile(dist_type(20, 0.3), 0.05) = 27
+  quantile(complement(dist_type(20, 0.3), 0.05)) 68
+
+*/
diff --git a/src/boost/libs/math/example/policy_ref_snip9.cpp b/src/boost/libs/math/example/policy_ref_snip9.cpp
new file mode 100644
index 00000000..ed38d460
--- /dev/null
+++ b/src/boost/libs/math/example/policy_ref_snip9.cpp
@@ -0,0 +1,36 @@
+//  Copyright John Maddock 2007.
+//  Copyright Paul A. Bristow 2010
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+#include <iostream>
+using std::cout; using std::endl;
+
+//[policy_ref_snip9
+
+#include <boost/math/special_functions/gamma.hpp>
+using boost::math::tgamma;
+using boost::math::policies::policy;
+using boost::math::policies::digits10;
+
+typedef policy<digits10<5> > my_pol_5; // Define a new, non-default, policy
+// to calculate tgamma to accuracy of approximately 5 decimal digits.
+//]
+
+int main()
+{
+  cout.precision(5); // To only show 5 (hopefully) accurate decimal digits.
+  double t = tgamma(12, my_pol_5()); // Apply the 5 decimal digits accuracy policy to use of tgamma.
+  cout << "tgamma(12, my_pol_5() = " << t << endl;
+}
+
+/*
+
+Output:
+     tgamma(12, my_pol_5() = 3.9917e+007
+*/
diff --git a/src/boost/libs/math/example/polynomial_arithmetic.cpp b/src/boost/libs/math/example/polynomial_arithmetic.cpp
new file mode 100644
index 00000000..78efd06d
--- /dev/null
+++ b/src/boost/libs/math/example/polynomial_arithmetic.cpp
@@ -0,0 +1,237 @@
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright Jeremy W. Murphy 2015.
+
+// This file is written to be included from a Quickbook .qbk document.
+// It can be compiled by the C++ compiler, and run. Any output can
+// also be added here as comment or included or pasted in elsewhere.
+// Caution: this file contains Quickbook markup as well as code
+// and comments: don't change any of the special comment markups!
+
+//[polynomial_arithmetic_0
+/*`First include the essential polynomial header (and others) to make the example:
+*/
+#include <boost/math/tools/polynomial.hpp>
+//] [polynomial_arithmetic_0
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/assert.hpp>
+
+#include <iostream>
+#include <stdexcept>
+#include <cmath>
+#include <string>
+#include <utility>
+
+//[polynomial_arithmetic_1
+/*`and some using statements are convenient:
+*/
+
+using std::string;
+using std::exception;
+using std::cout;
+using std::abs;
+using std::pair;
+
+using namespace boost::math;
+using namespace boost::math::tools; // for polynomial
+using boost::lexical_cast;
+
+//] [/polynomial_arithmetic_1]
+
+template <typename T>
+string sign_str(T const &x)
+{
+  return x < 0 ? "-" : "+";
+}
+
+template <typename T>
+string inner_coefficient(T const &x)
+{
+  string result(" " + sign_str(x) + " ");
+  if (abs(x) != T(1))
+      result += lexical_cast<string>(abs(x));
+  return result;
+}
+
+/*! Output in formula format.
+For example: from a polynomial in Boost container storage  [ 10, -6, -4, 3 ]
+show as human-friendly formula notation: 3x^3 - 4x^2 - 6x + 10.
+*/
+template <typename T>
+string formula_format(polynomial<T> const &a)
+{
+  string result;
+  if (a.size() == 0)
+      result += lexical_cast<string>(T(0));
+  else
+  {
+    // First one is a special case as it may need unary negate.
+    unsigned i = a.size() - 1;
+    if (a[i] < 0)
+        result += "-";
+    if (abs(a[i]) != T(1))
+        result += lexical_cast<string>(abs(a[i]));
+
+    if (i > 0)
+    {
+      result += "x";
+      if (i > 1)
+      {
+          result += "^" + lexical_cast<string>(i);
+          i--;
+          for (; i != 1; i--)
+              if (a[i])
+                result += inner_coefficient(a[i]) + "x^" + lexical_cast<string>(i);
+
+          if (a[i])
+            result += inner_coefficient(a[i]) + "x";
+      }
+      i--;
+
+      if (a[i])
+        result += " " + sign_str(a[i]) + " " + lexical_cast<string>(abs(a[i]));
+    }
+  }
+  return result;
+} // string formula_format(polynomial<T> const &a)
+
+
+int main()
+{
+  cout << "Example: Polynomial arithmetic.\n\n";
+
+  try
+  {
+//[polynomial_arithmetic_2
+/*`Store the coefficients in a convenient way to access them,
+then create some polynomials using construction from an iterator range,
+and finally output in a 'pretty' formula format.
+
+[tip Although we might conventionally write a polynomial from left to right
+in descending order of degree, Boost.Math stores in [*ascending order of degree].]
+
+  Read/write for humans:    3x^3 - 4x^2 - 6x + 10
+  Boost polynomial storage: [ 10, -6, -4, 3 ]
+*/
+  boost::array<double, 4> const d3a = {{10, -6, -4, 3}};
+  polynomial<double> const a(d3a.begin(), d3a.end());
+
+  // With C++11 and later, you can also use initializer_list construction.
+  polynomial<double> const b{{-2.0, 1.0}};
+
+  // formula_format() converts from Boost storage to human notation.
+  cout << "a = " << formula_format(a)
+  << "\nb = " << formula_format(b) << "\n\n";
+
+//] [/polynomial_arithmetic_2]
+
+//[polynomial_arithmetic_3
+  // Now we can do arithmetic with the usual infix operators: + - * / and %.
+  polynomial<double> s = a + b;
+  cout << "a + b = " << formula_format(s) << "\n";
+  polynomial<double> d = a - b;
+  cout << "a - b = " << formula_format(d) << "\n";
+  polynomial<double> p = a * b;
+  cout << "a * b = " << formula_format(p) << "\n";
+  polynomial<double> q = a / b;
+  cout << "a / b = " << formula_format(q) << "\n";
+  polynomial<double> r = a % b;
+  cout << "a % b = " << formula_format(r) << "\n";
+//] [/polynomial_arithmetic_3]
+
+//[polynomial_arithmetic_4
+/*`
+Division is a special case where you can calculate two for the price of one.
+
+Actually, quotient and remainder are always calculated together due to the nature
+of the algorithm: the infix operators return one result and throw the other
+away.
+
+If you are doing a lot of division and want both the quotient and remainder, then
+you don't want to do twice the work necessary.
+
+In that case you can call the underlying function, [^quotient_remainder],
+to get both results together as a pair.
+*/
+  pair< polynomial<double>, polynomial<double> > result;
+  result = quotient_remainder(a, b);
+// Reassure ourselves that the result is the same.
+  BOOST_ASSERT(result.first == q);
+  BOOST_ASSERT(result.second == r);
+//] [/polynomial_arithmetic_4]
+//[polynomial_arithmetic_5
+  /* 
+We can use the right and left shift operators to add and remove a factor of x.
+This has the same semantics as left and right shift for integers where it is a 
+factor of 2. x is the smallest prime factor of a polynomial as is 2 for integers.
+*/
+    cout << "Right and left shift operators.\n";
+    cout << "\n" << formula_format(p) << "\n";
+    cout << "... right shift by 1 ...\n";
+    p >>= 1;
+    cout << formula_format(p) << "\n";
+    cout << "... left shift by 2 ...\n";
+    p <<= 2;
+    cout << formula_format(p) << "\n";    
+  
+/*
+We can also give a meaning to odd and even for a polynomial that is consistent
+with these operations: a polynomial is odd if it has a non-zero constant value, 
+even otherwise. That is:
+    x^2 + 1     odd
+    x^2         even    
+   */
+    cout << std::boolalpha;
+    cout << "\nPrint whether a polynomial is odd.\n";
+    cout << formula_format(s) << "   odd? " << odd(s) << "\n";
+    // We cheekily use the internal details to subtract the constant, making it even.
+    s -= s.data().front();
+    cout << formula_format(s) << "   odd? " << odd(s) << "\n";
+    // And of course you can check if it is even:
+    cout << formula_format(s) << "   even? " << even(s) << "\n";
+    
+    
+    //] [/polynomial_arithmetic_5]
+    //[polynomial_arithmetic_6]
+    /* For performance and convenience, we can test whether a polynomial is zero 
+     * by implicitly converting to bool with the same semantics as int.    */
+    polynomial<double> zero; // Default construction is 0.
+    cout << "zero: " << (zero ? "not zero" : "zero") << "\n";
+    cout << "r: " << (r ? "not zero" : "zero") << "\n";
+    /* We can also set a polynomial to zero without needing a another zero 
+     * polynomial to assign to it. */
+    r.set_zero();
+    cout << "r: " << (r ? "not zero" : "zero") << "\n";    
+    //] [/polynomial_arithmetic_6]
+}
+catch (exception const &e)
+{
+  cout << "\nMessage from thrown exception was:\n   " << e.what() << "\n";
+}
+} // int main()
+
+/*
+//[polynomial_output_1
+
+a = 3x^3 - 4x^2 - 6x + 10
+b = x - 2
+
+//] [/polynomial_output_1]
+
+
+//[polynomial_output_2
+
+a + b = 3x^3 - 4x^2 - 5x + 8
+a - b = 3x^3 - 4x^2 - 7x + 12
+a * b = 3x^4 - 10x^3 + 2x^2 + 22x - 20
+a / b = 3x^2 + 2x - 2
+a % b = 6
+
+//] [/polynomial_output_2]
+
+*/
diff --git a/src/boost/libs/math/example/root_elliptic_finding.cpp b/src/boost/libs/math/example/root_elliptic_finding.cpp
new file mode 100644
index 00000000..a1c81124
--- /dev/null
+++ b/src/boost/libs/math/example/root_elliptic_finding.cpp
@@ -0,0 +1,878 @@
+// Copyright Paul A. Bristow 2015
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Comparison of finding roots using TOMS748, Newton-Raphson, Halley & Schroder algorithms.
+// root_n_finding_algorithms.cpp  Generalised for nth root version.
+
+// http://en.wikipedia.org/wiki/Cube_root
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+// This program also writes files in Quickbook tables mark-up format.
+
+#include <boost/cstdlib.hpp>
+#include <boost/config.hpp>
+#include <boost/array.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+
+//using boost::math::policies::policy;
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+//using boost::math::tools::halley_iterate; 
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::schroder_iterate;
+
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+
+#include <boost/multiprecision/cpp_bin_float.hpp> // is binary.
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_bin_float_50;
+
+#include <boost/timer/timer.hpp>
+#include <boost/system/error_code.hpp>
+#include <boost/preprocessor/stringize.hpp>
+
+// STL
+#include <iostream>
+#include <iomanip>
+#include <string>
+#include <vector>
+#include <limits>
+#include <fstream> // std::ofstream
+#include <cmath>
+#include <typeinfo> // for type name using typid(thingy).name();
+
+#ifdef __FILE__
+  std::string sourcefilename = __FILE__;
+#else
+  std::string sourcefilename("");
+#endif
+
+  std::string chop_last(std::string s)
+  {
+     std::string::size_type pos = s.find_last_of("\\/");
+     if(pos != std::string::npos)
+        s.erase(pos);
+     else if(s.empty())
+        abort();
+     else
+        s.erase();
+     return s;
+  }
+
+  std::string make_root()
+  {
+     std::string result;
+     if(sourcefilename.find_first_of(":") != std::string::npos)
+     {
+        result = chop_last(sourcefilename); // lose filename part
+        result = chop_last(result);   // lose /example/
+        result = chop_last(result);   // lose /math/
+        result = chop_last(result);   // lose /libs/
+     }
+     else
+     {
+        result = chop_last(sourcefilename); // lose filename part
+        if(result.empty())
+           result = ".";
+        result += "/../../..";
+     }
+     return result;
+  }
+
+  std::string short_file_name(std::string s)
+  {
+     std::string::size_type pos = s.find_last_of("\\/");
+     if(pos != std::string::npos)
+        s.erase(0, pos + 1);
+     return s;
+  }
+
+  std::string boost_root = make_root();
+
+
+std::string fp_hardware; // Any hardware features like SEE or AVX
+
+const std::string roots_name = "libs/math/doc/roots/";
+
+const std::string full_roots_name(boost_root + "/libs/math/doc/roots/");
+
+const std::size_t nooftypes = 4;
+const std::size_t noofalgos = 4;
+
+double digits_accuracy = 1.0; // 1 == maximum possible accuracy.
+
+std::stringstream ss;
+
+std::ofstream fout;
+
+std::vector<std::string> algo_names =
+{
+  "TOMS748", "Newton", "Halley", "Schr'''&#xf6;'''der"
+};
+
+std::vector<std::string> names =
+{
+  "float", "double", "long double", "cpp_bin_float50"
+};
+
+uintmax_t iters; // Global as value of iterations is not returned.
+
+struct root_info
+{ // for a floating-point type, float, double ...
+  std::size_t max_digits10; // for type.
+  std::string full_typename; // for type from type_id.name().
+  std::string short_typename; // for type "float", "double", "cpp_bin_float_50" ....
+  std::size_t bin_digits;  // binary in floating-point type numeric_limits<T>::digits;  
+  int get_digits; // fraction of maximum possible accuracy required.
+  // = digits * digits_accuracy
+  // Vector of values (4) for each algorithm, TOMS748, Newton, Halley & Schroder.
+  //std::vector< boost::int_least64_t> times;  converted to int.
+  std::vector<int> times; // arbirary units (ticks).
+  //boost::int_least64_t min_time = std::numeric_limits<boost::int_least64_t>::max(); // Used to normalize times (as int).
+  std::vector<double> normed_times;
+  int min_time = (std::numeric_limits<int>::max)(); // Used to normalize times.
+  std::vector<uintmax_t> iterations;
+  std::vector<long int> distances;
+  std::vector<cpp_bin_float_100> full_results;
+}; // struct root_info
+
+std::vector<root_info> root_infos;  // One element for each floating-point type used.
+
+inline std::string build_test_name(const char* type_name, const char* test_name)
+{
+  std::string result(BOOST_COMPILER);
+  result += "|";
+  result += BOOST_STDLIB;
+  result += "|";
+  result += BOOST_PLATFORM;
+  result += "|";
+  result += type_name;
+  result += "|";
+  result += test_name;
+#if defined(_DEBUG) || !defined(NDEBUG)
+  result += "|";
+  result += " debug";
+#else
+  result += "|";
+  result += " release";
+#endif
+  result += "|";
+  return result;
+} // std::string build_test_name
+
+// Algorithms //////////////////////////////////////////////
+
+// No derivatives - using TOMS748 internally.
+//[elliptic_noderv_func
+template <typename T = double>
+struct elliptic_root_functor_noderiv
+{ //  Nth root of x using only function - no derivatives.
+   elliptic_root_functor_noderiv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius)
+   { // Constructor just stores value a to find root of.
+   }
+   T operator()(T const& x)
+   {
+      using std::sqrt;
+      // return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x:
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T k = sqrt(1 - b * b / (a * a));
+      return 4 * a * boost::math::ellint_2(k) - m_arc;
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+}; // template <class T> struct elliptic_root_functor_noderiv
+//]
+//[elliptic_root_noderiv
+template <class T = double>
+T elliptic_root_noderiv(T radius, T arc)
+{ // return the other radius of an ellipse, given one radii and the arc-length
+   using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools; // For bracket_and_solve_root.
+
+   T guess = sqrt(arc * arc / 16 - radius * radius);
+   T factor = 1.2;                     // How big steps to take when searching.
+
+   const boost::uintmax_t maxit = 50;  // Limit to maximum iterations.
+   boost::uintmax_t it = maxit;        // Initally our chosen max iterations, but updated with actual.
+   bool is_rising = true;              // arc-length increases if one radii increases, so function is rising
+   // Define a termination condition, stop when nearly all digits are correct, but allow for
+   // the fact that we are returning a range, and must have some inaccuracy in the elliptic integral:
+   eps_tolerance<T> tol(std::numeric_limits<T>::digits - 2);
+   // Call bracket_and_solve_root to find the solution, note that this is a rising function:
+   std::pair<T, T> r = bracket_and_solve_root(elliptic_root_functor_noderiv<T>(arc, radius), guess, factor, is_rising, tol, it);
+   //<-
+   iters = it;
+   //->
+   // Result is midway between the endpoints of the range:
+   return r.first + (r.second - r.first) / 2;
+} // template <class T> T elliptic_root_noderiv(T x)
+//]
+// Using 1st derivative only Newton-Raphson
+//[elliptic_1deriv_func
+template <class T = double>
+struct elliptic_root_functor_1deriv
+{ // Functor also returning 1st derviative.
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   elliptic_root_functor_1deriv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius)
+   { // Constructor just stores value a to find root of.
+   }
+   std::pair<T, T> operator()(T const& x)
+   {
+      using std::sqrt;
+      // Return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x, plus it's derivative.
+      // See http://www.wolframalpha.com/input/?i=d%2Fda+[4+*+a+*+EllipticE%281+-+b^2%2Fa^2%29]
+      // We require two elliptic integral calls, but from these we can calculate both
+      // the function and it's derivative:
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T a2 = a * a;
+      T b2 = b * b;
+      T k = sqrt(1 - b2 / a2);
+      T Ek = boost::math::ellint_2(k);
+      T Kk = boost::math::ellint_1(k);
+      T fx = 4 * a * Ek - m_arc;
+      T dfx = 4 * (a2 * Ek - b2 * Kk) / (a2 - b2);
+      return std::make_pair(fx, dfx);
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+};  // struct elliptic_root__functor_1deriv
+//]
+//[elliptic_1deriv
+template <class T = double>
+T elliptic_root_1deriv(T radius, T arc)
+{ 
+   using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools; // For newton_raphson_iterate.
+
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   T guess = sqrt(arc * arc / 16 - radius * radius);
+   T min = 0;   // Minimum possible value is zero.
+   T max = arc; // Maximum possible value is the arc length.
+
+   // Accuracy doubles at each step, so stop when just over half of the digits are
+   // correct, and rely on that step to polish off the remainder:
+   int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.6);
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   T result = newton_raphson_iterate(elliptic_root_functor_1deriv<T>(arc, radius), guess, min, max, get_digits, it);
+   //<-
+   iters = it;
+   //->
+   return result;
+} // T elliptic_root_1_deriv  Newton-Raphson
+//]
+
+// Using 1st and 2nd derivatives with Halley algorithm.
+//[elliptic_2deriv_func
+template <class T = double>
+struct elliptic_root_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   elliptic_root_functor_2deriv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius) {}
+   std::tuple<T, T, T> operator()(T const& x)
+   {
+      using std::sqrt;
+      // Return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x, plus it's derivative.
+      // See http://www.wolframalpha.com/input/?i=d^2%2Fda^2+[4+*+a+*+EllipticE%281+-+b^2%2Fa^2%29]
+      // for the second derivative.
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T a2 = a * a;
+      T b2 = b * b;
+      T k = sqrt(1 - b2 / a2);
+      T Ek = boost::math::ellint_2(k);
+      T Kk = boost::math::ellint_1(k);
+      T fx = 4 * a * Ek - m_arc;
+      T dfx = 4 * (a2 * Ek - b2 * Kk) / (a2 - b2);
+      T dfx2 = 4 * b2 * ((a2 + b2) * Kk - 2 * a2 * Ek) / (a * (a2 - b2) * (a2 - b2));
+      return std::make_tuple(fx, dfx, dfx2);
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+};
+//]
+//[elliptic_2deriv
+template <class T = double>
+T elliptic_root_2deriv(T radius, T arc)
+{
+   using namespace std;                // Help ADL of std functions.
+   using namespace boost::math::tools; // For halley_iterate.
+
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   T guess = sqrt(arc * arc / 16 - radius * radius);
+   T min = 0;                                   // Minimum possible value is zero.
+   T max = arc;                                 // radius can't be larger than the arc length.
+
+   // Accuracy triples at each step, so stop when just over one-third of the digits
+   // are correct, and the last iteration will polish off the remaining digits:
+   int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4);
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   T result = halley_iterate(elliptic_root_functor_2deriv<T>(arc, radius), guess, min, max, get_digits, it);
+   //<-
+   iters = it;
+   //->
+   return result;
+} // nth_2deriv Halley
+//]
+// Using 1st and 2nd derivatives using Schroder algorithm.
+
+template <class T = double>
+T elliptic_root_2deriv_s(T arc, T radius)
+{ // return nth root of x using 1st and 2nd derivatives and Schroder.
+
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For schroder_iterate.
+
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+  T guess = sqrt(arc * arc / 16 - radius * radius);
+  T min = 0; // Minimum possible value is zero.
+  T max = arc; // radius can't be larger than the arc length.
+
+  int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+  int get_digits = static_cast<int>(digits * digits_accuracy);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = schroder_iterate(elliptic_root_functor_2deriv<T>(arc, radius), guess, min, max, get_digits, it);
+  iters = it;
+
+  return result;
+} // T elliptic_root_2deriv_s Schroder
+
+//////////////////////////////////////////////////////// end of algorithms - perhaps in a separate .hpp?
+
+//! Print 4 floating-point types info: max_digits10, digits and required accuracy digits as a Quickbook table.
+int table_type_info(double digits_accuracy)
+{
+  std::string qbk_name = full_roots_name; // Prefix by boost_root file.
+
+  qbk_name += "type_info_table";
+  std::stringstream ss;
+  ss.precision(3);
+  ss << "_" << digits_accuracy * 100;
+  qbk_name += ss.str();
+
+#ifdef _MSC_VER
+  qbk_name += "_msvc.qbk";
+#else // assume GCC
+  qbk_name += "_gcc.qbk";
+#endif
+
+  // Example: type_info_table_100_msvc.qbk
+  fout.open(qbk_name, std::ios_base::out);
+
+  if (fout.is_open())
+  {
+    std::cout << "Output type table to " << qbk_name << std::endl;
+  }
+  else
+  { // Failed to open.
+    std::cout << " Open file " << qbk_name << " for output failed!" << std::endl;
+    std::cout << "errno " << errno << std::endl;
+    return errno;
+  }
+
+  fout <<
+    "[/"
+    << qbk_name
+    << "\n"
+    "Copyright 2015 Paul A. Bristow.""\n"
+    "Copyright 2015 John Maddock.""\n"
+    "Distributed under the Boost Software License, Version 1.0.""\n"
+    "(See accompanying file LICENSE_1_0.txt or copy at""\n"
+    "http://www.boost.org/LICENSE_1_0.txt).""\n"
+    "]""\n"
+    << std::endl;
+
+  fout << "[h6 Fraction of maximum possible bits of accuracy required is " << digits_accuracy << ".]\n" << std::endl;
+
+  std::string table_id("type_info");
+  table_id += ss.str(); // Fraction digits accuracy.
+
+#ifdef _MSC_VER
+  table_id += "_msvc";
+#else // assume GCC
+  table_id += "_gcc";
+#endif
+
+  fout << "[table:" << table_id << " Digits for float, double, long double and cpp_bin_float_50\n"
+    << "[[type name] [max_digits10] [binary digits] [required digits]]\n";// header.
+
+  // For all fout types:
+
+  fout  << "[[" << "float" << "]"
+    << "[" << std::numeric_limits<float>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<float>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<float>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "float" << "]"
+    << "[" << std::numeric_limits<double>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<double>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<double>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "long double" << "]"
+    << "[" << std::numeric_limits<long double>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<long double>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<long double>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "cpp_bin_float_50" << "]"
+    << "[" << std::numeric_limits<cpp_bin_float_50>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<cpp_bin_float_50>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<cpp_bin_float_50>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "] [/table table_id_msvc] \n" << std::endl; // End of table.
+
+  fout.close();
+  return 0;
+} // type_table
+
+//! Evaluate root N timing for each algorithm, and for one floating-point type T. 
+template <typename T>
+int test_root(cpp_bin_float_100 big_radius, cpp_bin_float_100 big_arc, cpp_bin_float_100 answer, const char* type_name, std::size_t type_no)
+{
+  std::size_t max_digits = 2 + std::numeric_limits<T>::digits * 3010 / 10000;
+  // For new versions use max_digits10
+  // std::cout.precision(std::numeric_limits<T>::max_digits10);
+  std::cout.precision(max_digits);
+  std::cout << std::showpoint << std::endl; // Show trailing zeros too.
+
+  root_infos.push_back(root_info()); 
+
+  root_infos[type_no].max_digits10 = max_digits;
+  root_infos[type_no].full_typename = typeid(T).name(); // Full typename.
+  root_infos[type_no].short_typename = type_name; // Short typename.
+  root_infos[type_no].bin_digits = std::numeric_limits<T>::digits;
+  root_infos[type_no].get_digits = static_cast<int>(std::numeric_limits<T>::digits * digits_accuracy);
+
+  T radius = static_cast<T>(big_radius);
+  T arc = static_cast<T>(big_arc);
+
+  T result; // root
+  T sum = 0;
+  T ans = static_cast<T>(answer);
+
+  using boost::timer::nanosecond_type;
+  using boost::timer::cpu_times;
+  using boost::timer::cpu_timer;
+
+  long eval_count = boost::is_floating_point<T>::value ? 1000000 : 10000; // To give a sufficiently stable timing for the fast built-in types,
+  // This takes an inconveniently long time for multiprecision cpp_bin_float_50 etc  types.
+
+  cpu_times now; // Holds wall, user and system times.
+
+  { // Evaluate times etc for each algorithm.
+    //algorithm_names.push_back("TOMS748"); // 
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for(long i = eval_count; i >= 0; --i)
+    {
+      result = elliptic_root_noderiv(radius, arc); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    // algorithm_names.push_back("Newton"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for(long i = eval_count; i >= 0; --i)
+    {
+      result = elliptic_root_1deriv(radius, arc); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); //
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    //algorithm_names.push_back("Halley"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for(long i = eval_count; i >= 0; --i)
+    {
+      result = elliptic_root_2deriv(radius, arc); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    ti.stop();
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    // algorithm_names.push_back("Schr'''&#xf6;'''der"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for(long i = eval_count; i >= 0; --i)
+    {
+      result = elliptic_root_2deriv_s(arc, radius); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  for (size_t i = 0; i != root_infos[type_no].times.size(); i++) // For each time.
+  { // Normalize times.
+    root_infos[type_no].normed_times.push_back(static_cast<double>(root_infos[type_no].times[i]) / root_infos[type_no].min_time);
+  }
+
+  std::cout << "Accumulated result was: " << sum << std::endl;
+
+  return 4;  // eval_count of how many algorithms used.
+} // test_root
+
+/*! Fill array of times, interations, etc for Nth root for all 4 types,
+ and write a table of results in Quickbook format.
+ */
+void table_root_info(cpp_bin_float_100 radius, cpp_bin_float_100 arc)
+{
+   using std::abs;
+
+  std::cout << nooftypes << " floating-point types tested:" << std::endl;
+#if defined(_DEBUG) || !defined(NDEBUG)
+  std::cout << "Compiled in debug mode." << std::endl;
+#else
+  std::cout << "Compiled in optimise mode." << std::endl;
+#endif
+  std::cout << "FP hardware " << fp_hardware << std::endl;
+  // Compute the 'right' answer for root N at 100 decimal digits.
+  cpp_bin_float_100 full_answer = elliptic_root_noderiv(radius, arc);
+
+  root_infos.clear(); // Erase any previous data.
+  // Fill the elements of the array for each floating-point type.
+
+  test_root<float>(radius, arc, full_answer, "float", 0);
+  test_root<double>(radius, arc, full_answer,  "double", 1);
+  test_root<long double>(radius, arc, full_answer, "long double", 2);
+  test_root<cpp_bin_float_50>(radius, arc, full_answer, "cpp_bin_float_50", 3);
+
+  // Use info from 4 floating point types to
+
+  // Prepare Quickbook table for a single root
+  // with columns of times, iterations, distances repeated for various floating-point types,
+  // and 4 rows for each algorithm.
+
+  std::stringstream table_info;
+  table_info.precision(3);
+  table_info << "[table:elliptic root with radius " << radius << " and arc length " << arc << ") for float, double, long double and cpp_bin_float_50 types";
+  if (fp_hardware != "")
+  {
+    table_info << ", using " << fp_hardware;
+  }
+  table_info << std::endl;
+
+  fout << table_info.str()
+    << "[[][float][][][] [][double][][][] [][long d][][][] [][cpp50][][]]\n"
+    << "[[Algo     ]";
+  for (size_t tp = 0; tp != nooftypes; tp++)
+  { // For all types:
+    fout << "[Its]" << "[Times]" << "[Norm]" << "[Dis]" << "[ ]";
+  }
+  fout << "]" << std::endl;
+
+  // Row for all algorithms.
+  for (std::size_t algo = 0; algo != noofalgos; algo++)
+  {
+    fout << "[[" << std::left << std::setw(9) << algo_names[algo] << "]";
+    for (size_t tp = 0; tp != nooftypes; tp++)
+    { // For all types:
+      fout
+        << "[" << std::right << std::showpoint
+        << std::setw(3) << std::setprecision(2) << root_infos[tp].iterations[algo] << "]["
+        << std::setw(5) << std::setprecision(5) << root_infos[tp].times[algo] << "][";
+      fout << std::setw(3) << std::setprecision(3);
+        double normed_time = root_infos[tp].normed_times[algo];
+        if (abs(normed_time - 1.00) <= 0.05)
+        { // At or near the best time, so show as blue.
+          fout << "[role blue " << normed_time << "]";
+        }
+        else if (abs(normed_time) > 4.)
+        { // markedly poor so show as red.
+          fout << "[role red " << normed_time << "]";
+        }
+        else
+        { // Not the best, so normal black.
+          fout << normed_time;
+        }
+        fout << "]["
+        << std::setw(3) << std::setprecision(2) << root_infos[tp].distances[algo] << "][ ]";
+    } // tp
+    fout << "]" << std::endl;
+  } // for algo
+  fout << "] [/end of table root]\n";
+} // void table_root_info
+
+/*! Output program header, table of type info, and tables for 4 algorithms and 4 floating-point types,
+ for Nth root required digits_accuracy.
+ */
+
+int roots_tables(cpp_bin_float_100 radius, cpp_bin_float_100 arc, double digits_accuracy)
+{
+  ::digits_accuracy = digits_accuracy;
+  // Save globally so that it is available to root-finding algorithms. Ugly :-(
+
+#if defined(_DEBUG) || !defined(NDEBUG)
+  std::string debug_or_optimize("Compiled in debug mode.");
+#else
+     std::string debug_or_optimize("Compiled in optimise mode.");
+#endif
+
+  // Create filename for roots_table
+  std::string qbk_name = full_roots_name;
+  qbk_name += "elliptic_table";
+
+  std::stringstream ss;
+  ss.precision(3);
+  // ss << "_" << N // now put all the tables in one .qbk file?
+    ss << "_" << digits_accuracy * 100
+    << std::flush;
+  // Assume only save optimize mode runs, so don't add any  _DEBUG info.
+  qbk_name += ss.str();
+
+#ifdef _MSC_VER
+  qbk_name += "_msvc";
+#else // assume GCC
+  qbk_name += "_gcc";
+#endif 
+  if (fp_hardware != "")
+  {
+    qbk_name += fp_hardware;
+  }
+  qbk_name += ".qbk";
+
+  fout.open(qbk_name, std::ios_base::out);
+
+  if (fout.is_open())
+  {
+    std::cout << "Output root table to " << qbk_name << std::endl;
+  }
+  else
+  { // Failed to open.
+    std::cout << " Open file " << qbk_name << " for output failed!" << std::endl;
+    std::cout << "errno " << errno << std::endl;
+    return errno;
+  }
+
+  fout <<
+    "[/"
+    << qbk_name
+    << "\n"
+    "Copyright 2015 Paul A. Bristow.""\n"
+    "Copyright 2015 John Maddock.""\n"
+    "Distributed under the Boost Software License, Version 1.0.""\n"
+    "(See accompanying file LICENSE_1_0.txt or copy at""\n"
+    "http://www.boost.org/LICENSE_1_0.txt).""\n"
+    "]""\n"
+    << std::endl;
+
+  // Print out the program/compiler/stdlib/platform names as a Quickbook comment:
+  fout << "\n[h6 Program [@../../example/" << short_file_name(sourcefilename) << " " << short_file_name(sourcefilename) << "],\n "
+    << BOOST_COMPILER << ", "
+    << BOOST_STDLIB << ", "
+    << BOOST_PLATFORM << "\n"
+    << debug_or_optimize 
+    << ((fp_hardware != "") ? ", " + fp_hardware : "")
+    << "]" // [h6 close].
+    << std::endl;
+
+  //fout << "Fraction of full accuracy " << digits_accuracy << std::endl;
+
+  table_root_info(radius, arc);
+
+  fout.close();
+
+  //   table_type_info(digits_accuracy);
+
+  return 0;
+} // roots_tables
+
+
+int main()
+{
+  using namespace boost::multiprecision;
+  using namespace boost::math;
+
+
+  try
+  {
+    std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << ", ";
+
+// How to: Configure Visual C++ Projects to Target 64-Bit Platforms
+// https://msdn.microsoft.com/en-us/library/9yb4317s.aspx
+
+#ifdef _M_X64 // Defined for compilations that target x64 processors.
+    std::cout << "X64 " << std::endl;
+    fp_hardware += "_X64";
+#else
+#  ifdef _M_IX86
+     std::cout << "X32 " << std::endl;
+     fp_hardware += "_X86";
+#  endif
+#endif
+
+#ifdef _M_AMD64
+    std::cout << "AMD64 " << std::endl;
+ //   fp_hardware += "_AMD64";
+#endif
+
+// https://msdn.microsoft.com/en-us/library/7t5yh4fd.aspx  
+// /arch (x86) options /arch:[IA32|SSE|SSE2|AVX|AVX2]
+// default is to use SSE and SSE2 instructions by default.
+// https://msdn.microsoft.com/en-us/library/jj620901.aspx
+// /arch (x64) options /arch:AVX and /arch:AVX2
+
+// MSVC doesn't bother to set these SSE macros!
+// http://stackoverflow.com/questions/18563978/sse-sse2-is-enabled-control-in-visual-studio
+// https://msdn.microsoft.com/en-us/library/b0084kay.aspx  predefined macros.
+
+// But some of these macros are *not* defined by MSVC, 
+// unlike AVX (but *are* defined by GCC and Clang). 
+// So the macro code above does define them.
+#if (defined(_M_AMD64) || defined (_M_X64))
+#  define _M_X64 
+#  define __SSE2__
+#else
+#  ifdef _M_IX86_FP // Expands to an integer literal value indicating which /arch compiler option was used:
+    std::cout << "Floating-point _M_IX86_FP = " << _M_IX86_FP << std::endl;
+#  if (_M_IX86_FP == 2) // 2 if /arch:SSE2, /arch:AVX or /arch:AVX2 
+#    define __SSE2__ // x32
+#  elif (_M_IX86_FP == 1) // 1 if /arch:SSE was used.
+#    define __SSE__ // x32
+#  elif (_M_IX86_FP == 0) // 0 if /arch:IA32 was used.
+#    define _X32 // No special FP instructions.
+#  endif
+# endif
+#endif
+// Set the fp_hardware that is used in the .qbk filename.
+#ifdef __AVX2__
+    std::cout << "Floating-point AVX2 " << std::endl;
+    fp_hardware += "_AVX2";
+#  else 
+#    ifdef __AVX__
+    std::cout << "Floating-point AVX " << std::endl;
+    fp_hardware += "_AVX";
+#    else
+#      ifdef __SSE2__
+    std::cout << "Floating-point SSE2 " << std::endl;
+    fp_hardware += "_SSE2";
+#      else
+#        ifdef __SSE__
+    std::cout << "Floating-point SSE " << std::endl;
+    fp_hardware += "_SSE";
+#        endif
+#      endif
+#   endif
+# endif
+
+#ifdef _M_IX86
+    std::cout << "Floating-point X86 _M_IX86 = " << _M_IX86 << std::endl;
+    // https://msdn.microsoft.com/en-us/library/aa273918%28v=vs.60%29.aspx#_predir_table_1..3
+    // 600 = Pentium Pro
+#endif
+
+#ifdef _MSC_FULL_VER
+    std::cout << "Floating-point _MSC_FULL_VER " << _MSC_FULL_VER << std::endl;
+#endif
+
+#ifdef __MSVC_RUNTIME_CHECKS
+    std::cout << "Runtime __MSVC_RUNTIME_CHECKS " << std::endl;
+#endif
+
+    BOOST_MATH_CONTROL_FP;
+
+    cpp_bin_float_100 radius("28.");
+    cpp_bin_float_100 arc("300.");
+    // Compute full answer to more than precision of tests.
+    //T value = 28.; // integer (exactly representable as floating-point)
+    // whose cube root is *not* exactly representable.
+    // Wolfram Alpha command N[28 ^ (1 / 3), 100] computes cube root to 100 decimal digits.
+    // 3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895
+
+    std::cout.precision(100);
+    std::cout << "radius 1" << radius << std::endl;
+    std::cout << "arc length" << arc << std::endl;
+    // std::cout << ",\n""answer = " << full_answer << std::endl;
+    std::cout.precision(6);
+   // cbrt cpp_bin_float_100 full_answer("3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895");
+
+    // Output the table of types, maxdigits10 and digits and required digits for some accuracies.
+
+    // Output tables for some roots at full accuracy.
+    roots_tables(radius, arc, 1.);
+
+    // Output tables for some roots at less accuracy.
+    //roots_tables(full_value, 0.75);
+
+    return boost::exit_success;
+  }
+  catch (std::exception const& ex)
+  {
+    std::cout << "exception thrown: " << ex.what() << std::endl;
+    return boost::exit_failure;
+  }
+} // int main()
+
+/*
+
+*/
diff --git a/src/boost/libs/math/example/root_finding_algorithms.cpp b/src/boost/libs/math/example/root_finding_algorithms.cpp
new file mode 100644
index 00000000..89a8a014
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_algorithms.cpp
@@ -0,0 +1,907 @@
+// Copyright Paul A. Bristow 2015
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Comparison of finding roots using TOMS748, Newton-Raphson, Schroder & Halley algorithms.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// root_finding_algorithms.cpp
+
+#include <boost/cstdlib.hpp>
+#include <boost/config.hpp>
+#include <boost/array.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/type_traits/is_fundamental.hpp>
+
+#include "table_type.hpp"
+// Copy of i:\modular-boost\libs\math\test\table_type.hpp
+// #include "handle_test_result.hpp"
+// Copy of i:\modular - boost\libs\math\test\handle_test_result.hpp
+
+#include <boost/math/tools/roots.hpp>
+//using boost::math::policies::policy;
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::halley_iterate; //
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+//using boost::math::tools::schroder_iterate;
+
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+#include <tuple> // for tuple and make_tuple.
+#include <boost/math/special_functions/cbrt.hpp> // For boost::math::cbrt.
+
+#include <boost/multiprecision/cpp_bin_float.hpp> // is binary.
+//#include <boost/multiprecision/cpp_dec_float.hpp> // is decimal.
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_bin_float_50;
+
+#include <boost/timer/timer.hpp>
+#include <boost/system/error_code.hpp>
+#include <boost/multiprecision/cpp_bin_float/io.hpp>
+#include <boost/preprocessor/stringize.hpp>
+
+// STL
+#include <iostream>
+#include <iomanip>
+#include <string>
+#include <vector>
+#include <limits>
+#include <fstream> // std::ofstream
+#include <cmath>
+#include <typeinfo> // for type name using typid(thingy).name();
+
+#ifndef BOOST_ROOT
+# define BOOST_ROOT i:/modular-boost/
+#endif
+// Need to find this 
+
+#ifdef __FILE__
+std::string sourcefilename = __FILE__;
+#endif
+
+std::string chop_last(std::string s)
+{
+   std::string::size_type pos = s.find_last_of("\\/");
+   if(pos != std::string::npos)
+      s.erase(pos);
+   else if(s.empty())
+      abort();
+   else
+      s.erase();
+   return s;
+}
+
+std::string make_root()
+{
+   std::string result;
+   if(sourcefilename.find_first_of(":") != std::string::npos)
+   {
+      result = chop_last(sourcefilename); // lose filename part
+      result = chop_last(result);   // lose /example/
+      result = chop_last(result);   // lose /math/
+      result = chop_last(result);   // lose /libs/
+   }
+   else
+   {
+      result = chop_last(sourcefilename); // lose filename part
+      if(result.empty())
+         result = ".";
+      result += "/../../..";
+   }
+   return result;
+}
+
+std::string short_file_name(std::string s)
+{
+   std::string::size_type pos = s.find_last_of("\\/");
+   if(pos != std::string::npos)
+      s.erase(0, pos + 1);
+   return s;
+}
+
+std::string boost_root = make_root();
+
+#ifdef _MSC_VER
+  std::string filename = boost_root.append("/libs/math/doc/roots/root_comparison_tables_msvc.qbk");
+#else // assume GCC
+  std::string filename = boost_root.append("/libs/math/doc/roots/root_comparison_tables_gcc.qbk");
+#endif
+
+std::ofstream fout (filename.c_str(), std::ios_base::out);
+
+//std::array<std::string, 6> float_type_names =
+//{
+//  "float", "double", "long double", "cpp_bin_128", "cpp_dec_50", "cpp_dec_100"
+//};
+
+std::vector<std::string> algo_names =
+{
+  "cbrt", "TOMS748", "Newton", "Halley", "Schr'''&#xf6;'''der"
+};
+
+std::vector<int> max_digits10s;
+std::vector<std::string> typenames; // Full computer generated type name.
+std::vector<std::string> names; // short name.
+
+uintmax_t iters; // Global as iterations is not returned by rooting function.
+
+const int count = 1000000; // Number of iterations to average.
+ 
+struct root_info
+{ // for a floating-point type, float, double ...
+  std::size_t max_digits10; // for type.
+  std::string full_typename; // for type from type_id.name().
+  std::string short_typename; // for type "float", "double", "cpp_bin_float_50" ....
+
+  std::size_t bin_digits;  // binary in floating-point type numeric_limits<T>::digits;  
+  int get_digits; // fraction of maximum possible accuracy required.
+  // = digits * digits_accuracy
+  // Vector of values for each algorithm, std::cbrt, boost::math::cbrt, TOMS748, Newton, Halley.
+  //std::vector< boost::int_least64_t> times;  converted to int.
+  std::vector<int> times;
+  //boost::int_least64_t min_time = std::numeric_limits<boost::int_least64_t>::max(); // Used to normalize times (as int).
+  std::vector<double> normed_times;
+  boost::int_least64_t min_time = (std::numeric_limits<boost::int_least64_t>::max)(); // Used to normalize times.
+  std::vector<uintmax_t> iterations;
+  std::vector<long int> distances;
+  std::vector<cpp_bin_float_100> full_results;
+}; // struct root_info
+
+std::vector<root_info> root_infos;  // One element for each type used.
+
+int type_no = -1; // float = 0, double = 1, ... indexing root_infos.
+
+inline std::string build_test_name(const char* type_name, const char* test_name)
+{
+  std::string result(BOOST_COMPILER);
+  result += "|";
+  result += BOOST_STDLIB;
+  result += "|";
+  result += BOOST_PLATFORM;
+  result += "|";
+  result += type_name;
+  result += "|";
+  result += test_name;
+#if defined(_DEBUG ) || !defined(NDEBUG)
+  result += "|";
+  result += " debug";
+#else
+  result += "|";
+  result += " release";
+#endif
+  result += "|";
+    return result;
+}
+
+// No derivatives - using TOMS748 internally.
+template <class T>
+struct cbrt_functor_noderiv
+{ //  cube root of x using only function - no derivatives.
+  cbrt_functor_noderiv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor just stores value a to find root of.
+  }
+  T operator()(T const& x)
+  {
+    T fx = x*x*x - a; // Difference (estimate x^3 - a).
+    return fx;
+  }
+private:
+  T a; // to be 'cube_rooted'.
+}; // template <class T> struct cbrt_functor_noderiv
+
+template <class T>
+T cbrt_noderiv(T x)
+{ // return cube root of x using bracket_and_solve (using NO derivatives).
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For bracket_and_solve_root.
+
+  // Maybe guess should be double, or use enable_if to avoid warning about conversion double to float here?
+  T guess;
+  if (boost::is_fundamental<T>::value)
+  { 
+    int exponent;
+    frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+    guess = ldexp((T)1., exponent / 3); // Rough guess is to divide the exponent by three.
+  }
+  else
+  { // (boost::is_class<T>)
+    double dx = static_cast<double>(x);
+    guess = boost::math::cbrt<T>(dx); // Get guess using double.
+  }
+  
+  T factor = 2; // How big steps to take when searching.
+
+  const boost::uintmax_t maxit = 50; // Limit to maximum iterations.
+  boost::uintmax_t it = maxit; // Initally our chosen max iterations, but updated with actual.
+  bool is_rising = true; // So if result if guess^3 is too low, then try increasing guess.
+  // Some fraction of digits is used to control how accurate to try to make the result.
+  int get_digits = static_cast<int>(std::numeric_limits<T>::digits - 2);
+
+  eps_tolerance<T> tol(get_digits); // Set the tolerance.
+  std::pair<T, T> r =
+    bracket_and_solve_root(cbrt_functor_noderiv<T>(x), guess, factor, is_rising, tol, it);
+  iters = it;
+  T result = r.first + (r.second - r.first) / 2;  // Midway between brackets.
+  return result;
+} // template <class T> T cbrt_noderiv(T x)
+
+
+// Using 1st derivative only Newton-Raphson
+
+template <class T>
+struct cbrt_functor_deriv
+{ // Functor also returning 1st derviative.
+  cbrt_functor_deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of,
+    // for example: calling cbrt_functor_deriv<T>(x) to use to get cube root of x.
+  }
+  std::pair<T, T> operator()(T const& x)
+  { // Return both f(x) and f'(x).
+    T fx = x*x*x - a; // Difference (estimate x^3 - value).
+    T dx = 3 * x*x; // 1st derivative = 3x^2.
+    return std::make_pair(fx, dx); // 'return' both fx and dx.
+  }
+private:
+  T a; // to be 'cube_rooted'.
+};
+
+template <class T>
+T cbrt_deriv(T x)
+{ // return cube root of x using 1st derivative and Newton_Raphson.
+  using namespace boost::math::tools;
+  int exponent;
+  T guess;
+  if(boost::is_fundamental<T>::value)
+  {
+     frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+     guess = ldexp(static_cast<T>(1), exponent / 3); // Rough guess is to divide the exponent by three.
+  }
+  else
+     guess = boost::math::cbrt(static_cast<double>(x));
+  T min = guess / 2; // Minimum possible value is half our guess.
+  T max = 2 * guess; // Maximum possible value is twice our guess.
+  int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.6);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = newton_raphson_iterate(cbrt_functor_deriv<T>(x), guess, min, max, get_digits, it);
+  iters = it;
+  return result;
+}
+
+// Using 1st and 2nd derivatives with Halley algorithm.
+
+template <class T>
+struct cbrt_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+  cbrt_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of, for example:
+    // calling cbrt_functor_2deriv<T>(x) to get cube root of x,
+  }
+  std::tuple<T, T, T> operator()(T const& x)
+  { // Return both f(x) and f'(x) and f''(x).
+    T fx = x*x*x - a; // Difference (estimate x^3 - value).
+    T dx = 3 * x*x; // 1st derivative = 3x^2.
+    T d2x = 6 * x; // 2nd derivative = 6x.
+    return std::make_tuple(fx, dx, d2x); // 'return' fx, dx and d2x.
+  }
+private:
+  T a; // to be 'cube_rooted'.
+};
+
+template <class T>
+T cbrt_2deriv(T x)
+{ // return cube root of x using 1st and 2nd derivatives and Halley.
+  //using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools;
+  int exponent;
+  T guess;
+  if(boost::is_fundamental<T>::value)
+  {
+     frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+     guess = ldexp(static_cast<T>(1), exponent / 3); // Rough guess is to divide the exponent by three.
+  }
+  else
+     guess = boost::math::cbrt(static_cast<double>(x));
+  T min = guess / 2; // Minimum possible value is half our guess.
+  T max = 2 * guess; // Maximum possible value is twice our guess.
+  // digits used to control how accurate to try to make the result.
+  int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4);
+  boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, get_digits, it);
+  iters = it;
+  return result;
+}
+
+// Using 1st and 2nd derivatives using Schroder algorithm.
+
+template <class T>
+T cbrt_2deriv_s(T x)
+{ // return cube root of x using 1st and 2nd derivatives and Schroder algorithm.
+  //using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools;
+  int exponent;
+  T guess;
+  if(boost::is_fundamental<T>::value)
+  {
+     frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+     guess = ldexp(static_cast<T>(1), exponent / 3); // Rough guess is to divide the exponent by three.
+  }
+  else
+     guess = boost::math::cbrt(static_cast<double>(x));
+  T min = guess / 2; // Minimum possible value is half our guess.
+  T max = 2 * guess; // Maximum possible value is twice our guess.
+  // digits used to control how accurate to try to make the result.
+  int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = schroder_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, get_digits, it);
+  iters = it;
+  return result;
+} // template <class T> T cbrt_2deriv_s(T x)
+
+
+
+template <typename T>
+int test_root(cpp_bin_float_100 big_value, cpp_bin_float_100 answer, const char* type_name)
+{
+  //T value = 28.; // integer (exactly representable as floating-point)
+  // whose cube root is *not* exactly representable.
+  // Wolfram Alpha command N[28 ^ (1 / 3), 100] computes cube root to 100 decimal digits.
+  // 3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895
+  
+  std::size_t max_digits = 2 + std::numeric_limits<T>::digits * 3010 / 10000;
+  // For new versions use max_digits10
+  // std::cout.precision(std::numeric_limits<T>::max_digits10);
+  std::cout.precision(max_digits);
+  std::cout << std::showpoint << std::endl; // Trailing zeros too.
+
+  root_infos.push_back(root_info());
+  type_no++;  // Another type.
+
+  root_infos[type_no].max_digits10 = max_digits;
+  root_infos[type_no].full_typename = typeid(T).name(); // Full typename.
+  root_infos[type_no].short_typename = type_name; // Short typename.
+
+  root_infos[type_no].bin_digits = std::numeric_limits<T>::digits;
+
+  root_infos[type_no].get_digits = std::numeric_limits<T>::digits;
+
+  T to_root = static_cast<T>(big_value);
+  T result; // root
+  T ans = static_cast<T>(answer);
+  int algo = 0; // Count of algorithms used.
+ 
+  using boost::timer::nanosecond_type;
+  using boost::timer::cpu_times;
+  using boost::timer::cpu_timer;
+
+  cpu_times now; // Holds wall, user and system times.
+  T sum = 0;
+
+  // std::cbrt is much the fastest, but not useful for this comparison because it only handles fundamental types.
+  // Using enable_if allows us to avoid a compile fail with multiprecision types, but still distorts the results too much.
+
+  //{
+  //  algorithm_names.push_back("std::cbrt"); 
+  //  cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+  //  ti.start();
+  //  for (long i = 0; i < count; ++i)
+  //  {
+  //    stdcbrt(big_value);
+  //  }
+  //  now = ti.elapsed();
+  //  int time = static_cast<int>(now.user / count);
+  //  root_infos[type_no].times.push_back(time); // CPU time taken per root.
+  //  if (time < root_infos[type_no].min_time)
+  //  {
+  //    root_infos[type_no].min_time = time;
+  //  }
+  //  ti.stop();
+  //  long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+  //  root_infos[type_no].distances.push_back(distance);
+  //  root_infos[type_no].iterations.push_back(0); // Not known.
+  //  root_infos[type_no].full_results.push_back(result);
+  //  algo++;
+  //}
+  //{
+  //  //algorithm_names.push_back("boost::math::cbrt"); // .
+  //  cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+  //  ti.start();
+  //  for (long i = 0; i < count; ++i)
+  //  {
+  //    result = boost::math::cbrt(to_root); // 
+  //  }
+  //  now = ti.elapsed();
+  //  int time = static_cast<int>(now.user / count);
+  //  root_infos[type_no].times.push_back(time); // CPU time taken.
+  //  ti.stop();
+  //  if (time < root_infos[type_no].min_time)
+  //  {
+  //    root_infos[type_no].min_time = time;
+  //  }
+  //  long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+  //  root_infos[type_no].distances.push_back(distance);
+  //  root_infos[type_no].iterations.push_back(0); // Iterations not knowable.
+  //  root_infos[type_no].full_results.push_back(result);
+  //}
+
+
+
+  {
+    //algorithm_names.push_back("boost::math::cbrt"); // .
+    result = 0;
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < count; ++i)
+    {
+      result = boost::math::cbrt(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+
+    long time = static_cast<long>(now.user/1000); // convert nanoseconds to microseconds (assuming this is resolution).
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    ti.stop();
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(0); // Iterations not knowable.
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    //algorithm_names.push_back("TOMS748"); // 
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < count; ++i)
+    {
+      result = cbrt_noderiv<T>(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+//    int time = static_cast<int>(now.user / count);
+    long time = static_cast<long>(now.user/1000);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+   // algorithm_names.push_back("Newton"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < count; ++i)
+    {
+      result = cbrt_deriv(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+//    int time = static_cast<int>(now.user / count);
+    long time = static_cast<long>(now.user/1000);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); //
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+  //algorithm_names.push_back("Halley"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < count; ++i)
+    {
+      result = cbrt_2deriv(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed(); 
+//    int time = static_cast<int>(now.user / count);
+    long time = static_cast<long>(now.user/1000);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    ti.stop();
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+
+  {
+   // algorithm_names.push_back("Shroeder"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < count; ++i)
+    {
+      result = cbrt_2deriv_s(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+//    int time = static_cast<int>(now.user / count);
+    long time = static_cast<long>(now.user/1000);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  for (size_t i = 0; i != root_infos[type_no].times.size(); i++)
+  { // Normalize times.
+    double normed_time = static_cast<double>(root_infos[type_no].times[i]);
+    normed_time /= root_infos[type_no].min_time;
+    root_infos[type_no].normed_times.push_back(normed_time);
+  }
+  algo++;
+  std::cout << "Accumulated sum was " << sum << std::endl;
+  return algo;  // Count of how many algorithms used.
+} // test_root
+
+void table_root_info(cpp_bin_float_100 full_value, cpp_bin_float_100 full_answer)
+{
+   // Fill the elements. 
+  test_root<float>(full_value, full_answer, "float");
+  test_root<double>(full_value, full_answer, "double");
+  test_root<long double>(full_value, full_answer, "long double");
+  test_root<cpp_bin_float_50>(full_value, full_answer, "cpp_bin_float_50");
+  //test_root<cpp_bin_float_100>(full_value, full_answer, "cpp_bin_float_100");
+
+  std::cout << root_infos.size() << " floating-point types tested:" << std::endl;
+#ifndef NDEBUG
+  std::cout << "Compiled in debug mode." << std::endl;
+#else
+  std::cout << "Compiled in optimise mode." << std::endl;
+#endif
+
+
+  for (size_t tp = 0; tp != root_infos.size(); tp++)
+  { // For all types:
+
+    std::cout << std::endl;
+
+    std::cout << "Floating-point type = " << root_infos[tp].short_typename << std::endl;
+    std::cout << "Floating-point type = " << root_infos[tp].full_typename << std::endl;
+    std::cout << "Max_digits10 = " << root_infos[tp].max_digits10 << std::endl;
+    std::cout << "Binary digits = " << root_infos[tp].bin_digits << std::endl;
+    std::cout << "Accuracy digits = " << root_infos[tp].get_digits - 2 << ", " << static_cast<int>(root_infos[tp].get_digits * 0.6) << ", " << static_cast<int>(root_infos[tp].get_digits * 0.4) << std::endl;
+    std::cout << "min_time = " << root_infos[tp].min_time << std::endl;
+
+    std::cout << std::setprecision(root_infos[tp].max_digits10 ) << "Roots = ";
+    std::copy(root_infos[tp].full_results.begin(), root_infos[tp].full_results.end(), std::ostream_iterator<cpp_bin_float_100>(std::cout, " "));
+    std::cout << std::endl;
+
+    // Header row.
+    std::cout << "Algorithm         " << "Iterations  " << "Times  " << "Norm_times  " << "Distance" << std::endl;
+
+    // Row for all algorithms.
+    for (unsigned algo = 0; algo != algo_names.size(); algo++)
+    { 
+      std::cout
+        << std::left << std::setw(20) << algo_names[algo] << "  "
+        << std::setw(8) << std::setprecision(2) << root_infos[tp].iterations[algo] << "  "
+        << std::setw(8) << std::setprecision(5) << root_infos[tp].times[algo] << " "
+        << std::setw(8) << std::setprecision(3) << root_infos[tp].normed_times[algo] << " "
+        << std::setw(8) << std::setprecision(2) << root_infos[tp].distances[algo]
+        << std::endl;
+    } // for algo
+  } // for tp
+
+  // Print info as Quickbook table.
+#if 0
+  fout << "[table:cbrt_5  Info for float, double, long double and cpp_bin_float_50\n"
+    << "[[type name] [max_digits10] [binary digits] [required digits]]\n";// header.
+
+  for (size_t tp = 0; tp != root_infos.size(); tp++)
+  { // For all types:
+    fout << "["
+     <<  "[" << root_infos[tp].short_typename << "]" 
+      << "[" << root_infos[tp].max_digits10 << "]"  // max_digits10
+      << "["  << root_infos[tp].bin_digits << "]"// < "Binary digits 
+      << "["  << root_infos[tp].get_digits << "]]\n"; // Accuracy digits.
+  } // tp
+  fout << "] [/table cbrt_5] \n" << std::endl;
+#endif
+  // Prepare Quickbook table of floating-point types.
+  fout << "[table:cbrt_4 Cube root(28) for float, double, long double and cpp_bin_float_50\n"
+    << "[[][float][][][] [][double][][][] [][long d][][][] [][cpp50][][]]\n"
+    << "[[Algorithm]"; 
+  for (size_t tp = 0; tp != root_infos.size(); tp++)
+  { // For all types:
+    fout << "[Its]" << "[Times]" << "[Norm]" << "[Dis]" << "[ ]";
+  }
+  fout << "]" << std::endl;
+
+  // Row for all algorithms.
+  for (size_t algo = 0; algo != algo_names.size(); algo++)
+  {
+    fout << "[[" << std::left << std::setw(9) << algo_names[algo] << "]";
+    for (size_t tp = 0; tp != root_infos.size(); tp++)
+    { // For all types:
+
+       fout
+          << "[" << std::right << std::showpoint
+          << std::setw(3) << std::setprecision(2) << root_infos[tp].iterations[algo] << "]["
+          << std::setw(5) << std::setprecision(5) << root_infos[tp].times[algo] << "][";
+       if(fabs(root_infos[tp].normed_times[algo]) <= 1.05)
+          fout << "[role blue " << std::setw(3) << std::setprecision(2) << root_infos[tp].normed_times[algo] << "]";
+       else if(fabs(root_infos[tp].normed_times[algo]) > 4)
+          fout << "[role red " << std::setw(3) << std::setprecision(2) << root_infos[tp].normed_times[algo] << "]";
+       else
+          fout << std::setw(3) << std::setprecision(2) << root_infos[tp].normed_times[algo];
+       fout
+        << "]["
+        << std::setw(3) << std::setprecision(2) << root_infos[tp].distances[algo] << "][ ]";
+    } // tp
+     fout <<"]" << std::endl;
+  } // for algo
+  fout << "] [/end of table cbrt_4]\n";
+} // void table_root_info
+
+int main()
+{
+  using namespace boost::multiprecision;
+  using namespace boost::math;
+ 
+  try
+  {
+    std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << ", ";
+
+    if (fout.is_open())
+    {
+      std::cout << "\nOutput to " << filename << std::endl;
+    }
+    else
+    { // Failed to open.
+      std::cout << " Open file " << filename << " for output failed!" << std::endl;
+      std::cout << "error" << errno << std::endl;
+      return boost::exit_failure;
+    }
+
+    fout <<
+      "[/""\n"
+      "Copyright 2015 Paul A. Bristow.""\n"
+      "Copyright 2015 John Maddock.""\n"
+      "Distributed under the Boost Software License, Version 1.0.""\n"
+      "(See accompanying file LICENSE_1_0.txt or copy at""\n"
+      "http://www.boost.org/LICENSE_1_0.txt).""\n"
+      "]""\n"
+      << std::endl;
+    std::string debug_or_optimize;
+#ifdef _DEBUG
+#if (_DEBUG == 0)
+    debug_or_optimize = "Compiled in debug mode.";
+#else
+    debug_or_optimize = "Compiled in optimise mode.";
+#endif
+#endif
+
+    // Print out the program/compiler/stdlib/platform names as a Quickbook comment:
+    fout << "\n[h5 Program " << short_file_name(sourcefilename) << ", "
+      << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", "
+      << BOOST_PLATFORM << (sizeof(void*) == 8 ? ", x64" : ", x86")
+      << debug_or_optimize << "[br]"
+      << count << " evaluations of each of " << algo_names.size() << " root_finding algorithms."
+      << "]"
+      << std::endl;
+    
+    std::cout << count << " evaluations of root_finding." << std::endl;
+
+    BOOST_MATH_CONTROL_FP;
+
+    cpp_bin_float_100 full_value("28");
+
+    cpp_bin_float_100 full_answer ("3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895");
+
+    std::copy(max_digits10s.begin(), max_digits10s.end(), std::ostream_iterator<int>(std::cout, " "));
+    std::cout << std::endl;
+
+    table_root_info(full_value, full_answer);
+
+
+    return boost::exit_success;
+  }
+  catch (std::exception const& ex)
+  {
+    std::cout << "exception thrown: " << ex.what() << std::endl;
+    return boost::exit_failure;
+  }
+} // int main()
+
+/*
+debug
+
+1>  float, maxdigits10 = 9
+1>  6 algorithms used.
+1>  Digits required = 24.0000000
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>  Times 156 312 18750 4375 3437 3906
+1>  Iterations: 0 0 8 6 4 5
+1>  Distance: 0 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+
+release
+
+1>  float, maxdigits10 = 9
+1>  6 algorithms used.
+1>  Digits required = 24.0000000
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>  Times 0 312 6875 937 937 937
+1>  Iterations: 0 0 8 6 4 5
+1>  Distance: 0 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+
+
+1>
+1>  5 algorithms used:
+1>  10 algorithms used:
+1>  boost::math::cbrt TOMS748 Newton Halley Shroeder boost::math::cbrt TOMS748 Newton Halley Shroeder
+1>  2 types compared.
+1>  Precision of full type = 102 decimal digits
+1>  Find root of 28.000000000000000,
+1>  Expected answer = 3.0365889718756625
+1>  typeid(T).name()float, maxdigits10 = 9
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>
+1>  Iterations: 0 8 6 4 5
+1>  Times 468 8437 4375 3593 4062
+1>  Min Time 468
+1>  Normalized Times 1.00 18.0 9.35 7.68 8.68
+1>  Distance: 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+1>  ==================================================================
+1>  typeid(T).name()double, maxdigits10 = 17
+1>  find root of 28.000000000000000, expected answer = 3.0365889718756625
+1>
+1>  Iterations: 0 11 7 5 6
+1>  Times 312 15000 4531 3906 4375
+1>  Min Time 312
+1>  Normalized Times 1.00 48.1 14.5 12.5 14.0
+1>  Distance: 1 2 0 0 0
+1>  Roots: 3.0365889718756622 3.0365889718756618 3.0365889718756627 3.0365889718756627 3.0365889718756627
+1>  ==================================================================
+
+
+Release
+
+1>  5 algorithms used:
+1>  10 algorithms used:
+1>  boost::math::cbrt TOMS748 Newton Halley Shroeder boost::math::cbrt TOMS748 Newton Halley Shroeder
+1>  2 types compared.
+1>  Precision of full type = 102 decimal digits
+1>  Find root of 28.000000000000000,
+1>  Expected answer = 3.0365889718756625
+1>  typeid(T).name()float, maxdigits10 = 9
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>
+1>  Iterations: 0 8 6 4 5
+1>  Times 312 781 937 937 937
+1>  Min Time 312
+1>  Normalized Times 1.00 2.50 3.00 3.00 3.00
+1>  Distance: 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+1>  ==================================================================
+1>  typeid(T).name()double, maxdigits10 = 17
+1>  find root of 28.000000000000000, expected answer = 3.0365889718756625
+1>
+1>  Iterations: 0 11 7 5 6
+1>  Times 312 1093 937 937 937
+1>  Min Time 312
+1>  Normalized Times 1.00 3.50 3.00 3.00 3.00
+1>  Distance: 1 2 0 0 0
+1>  Roots: 3.0365889718756622 3.0365889718756618 3.0365889718756627 3.0365889718756627 3.0365889718756627
+1>  ==================================================================
+
+
+
+1>  5 algorithms used:
+1>  15 algorithms used:
+1>  boost::math::cbrt TOMS748 Newton Halley Shroeder boost::math::cbrt TOMS748 Newton Halley Shroeder boost::math::cbrt TOMS748 Newton Halley Shroeder
+1>  3 types compared.
+1>  Precision of full type = 102 decimal digits
+1>  Find root of 28.00000000000000000000000000000000000000000000000000,
+1>  Expected answer = 3.036588971875662519420809578505669635581453977248111
+1>  typeid(T).name()float, maxdigits10 = 9
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>
+1>  Iterations: 0 8 6 4 5
+1>  Times 156 781 937 1093 937
+1>  Min Time 156
+1>  Normalized Times 1.00 5.01 6.01 7.01 6.01
+1>  Distance: 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+1>  ==================================================================
+1>  typeid(T).name()double, maxdigits10 = 17
+1>  find root of 28.000000000000000, expected answer = 3.0365889718756625
+1>
+1>  Iterations: 0 11 7 5 6
+1>  Times 312 1093 937 937 937
+1>  Min Time 312
+1>  Normalized Times 1.00 3.50 3.00 3.00 3.00
+1>  Distance: 1 2 0 0 0
+1>  Roots: 3.0365889718756622 3.0365889718756618 3.0365889718756627 3.0365889718756627 3.0365889718756627
+1>  ==================================================================
+1>  typeid(T).name()class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,0>, maxdigits10 = 52
+1>  find root of 28.00000000000000000000000000000000000000000000000000, expected answer = 3.036588971875662519420809578505669635581453977248111
+1>
+1>  Iterations: 0 13 9 6 7
+1>  Times 8750 177343 30312 52968 58125
+1>  Min Time 8750
+1>  Normalized Times 1.00 20.3 3.46 6.05 6.64
+1>  Distance: 0 0 -1 0 0
+1>  Roots: 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248117 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248106
+1>  ==================================================================
+
+Reduce accuracy required to 0.5
+
+1>  5 algorithms used:
+1>  15 algorithms used:
+1>  boost::math::cbrt TOMS748 Newton Halley Shroeder
+1>  3 floating_point types compared.
+1>  Precision of full type = 102 decimal digits
+1>  Find root of 28.00000000000000000000000000000000000000000000000000,
+1>  Expected answer = 3.036588971875662519420809578505669635581453977248111
+1>  typeid(T).name() = float, maxdigits10 = 9
+1>  Digits accuracy fraction required = 0.500000000
+1>  find root of 28.0000000, expected answer = 3.03658897
+1>
+1>  Iterations: 0 8 5 3 4
+1>  Times 156 5937 1406 1250 1250
+1>  Min Time 156
+1>  Normalized Times 1.0 38. 9.0 8.0 8.0
+1>  Distance: 0 -1 0 0 0
+1>  Roots: 3.03658891 3.03658915 3.03658891 3.03658891 3.03658891
+1>  ==================================================================
+1>  typeid(T).name() = double, maxdigits10 = 17
+1>  Digits accuracy fraction required = 0.50000000000000000
+1>  find root of 28.000000000000000, expected answer = 3.0365889718756625
+1>
+1>  Iterations: 0 8 6 4 5
+1>  Times 156 6250 1406 1406 1250
+1>  Min Time 156
+1>  Normalized Times 1.0 40. 9.0 9.0 8.0
+1>  Distance: 1 3695766 0 0 0
+1>  Roots: 3.0365889718756622 3.0365889702344129 3.0365889718756627 3.0365889718756627 3.0365889718756627
+1>  ==================================================================
+1>  typeid(T).name() = class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,0>, maxdigits10 = 52
+1>  Digits accuracy fraction required = 0.5000000000000000000000000000000000000000000000000000
+1>  find root of 28.00000000000000000000000000000000000000000000000000, expected answer = 3.036588971875662519420809578505669635581453977248111
+1>
+1>  Iterations: 0 11 8 5 6
+1>  Times 11562 239843 34843 47500 47812
+1>  Min Time 11562
+1>  Normalized Times 1.0 21. 3.0 4.1 4.1
+1>  Distance: 0 0 -1 0 0
+1>  Roots: 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248117 3.036588971875662519420809578505669635581453977248106 3.036588971875662519420809578505669635581453977248106
+1>  ==================================================================
+
+
+
+*/
diff --git a/src/boost/libs/math/example/root_finding_example.cpp b/src/boost/libs/math/example/root_finding_example.cpp
new file mode 100644
index 00000000..9cbfd237
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_example.cpp
@@ -0,0 +1,547 @@
+// root_finding_example.cpp
+
+// Copyright Paul A. Bristow 2010, 2015
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of finding roots using Newton-Raphson, Halley.
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+//#define BOOST_MATH_INSTRUMENT
+
+/*
+This example demonstrates how to use the various tools for root finding
+taking the simple cube root function (`cbrt`) as an example.
+
+It shows how use of derivatives can improve the speed.
+(But is only a demonstration and does not try to make the ultimate improvements of 'real-life'
+implementation of `boost::math::cbrt`, mainly by using a better computed initial 'guess'
+at `<boost/math/special_functions/cbrt.hpp>`).
+
+Then we show how a higher root (fifth) can be computed,
+and in `root_finding_n_example.cpp` a generic method
+for the ['n]th root that constructs the derivatives at compile-time,
+
+These methods should be applicable to other functions that can be differentiated easily.
+
+First some `#includes` that will be needed.
+
+[tip For clarity, `using` statements are provided to list what functions are being used in this example:
+you can of course partly or fully qualify the names in other ways.
+(For your application, you may wish to extract some parts into header files,
+but you should never use `using` statements globally in header files).]
+*/
+
+//[root_finding_include_1
+
+#include <boost/math/tools/roots.hpp>
+//using boost::math::policies::policy;
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::halley_iterate; //
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+#include <tuple> // for std::tuple and std::make_tuple.
+#include <boost/math/special_functions/cbrt.hpp> // For boost::math::cbrt.
+
+//] [/root_finding_include_1]
+
+// using boost::math::tuple;
+// using boost::math::make_tuple;
+// using boost::math::tie;
+// which provide convenient aliases for various implementations,
+// including std::tr1, depending on what is available.
+
+#include <iostream>
+//using std::cout; using std::endl;
+#include <iomanip>
+//using std::setw; using std::setprecision;
+#include <limits>
+//using std::numeric_limits;
+
+/*
+
+Let's suppose we want to find the root of a number ['a], and to start, compute the cube root.
+
+So the equation we want to solve is:
+
+__spaces ['f](x) = x[cubed] - a
+
+We will first solve this without using any information
+about the slope or curvature of the cube root function.
+
+We then show how adding what we can know about this function, first just the slope,
+the 1st derivation /f'(x)/, will speed homing in on the solution.
+
+Lastly we show how adding the curvature /f''(x)/ too will speed convergence even more.
+
+*/
+
+//[root_finding_noderiv_1
+
+template <class T>
+struct cbrt_functor_noderiv
+{ 
+  //  cube root of x using only function - no derivatives.
+  cbrt_functor_noderiv(T const& to_find_root_of) : a(to_find_root_of)
+  { /* Constructor just stores value a to find root of. */ }
+  T operator()(T const& x)
+  {
+    T fx = x*x*x - a; // Difference (estimate x^3 - a).
+    return fx;
+  }
+private:
+  T a; // to be 'cube_rooted'.
+};
+//] [/root_finding_noderiv_1
+
+/*
+Implementing the cube root function itself is fairly trivial now:
+the hardest part is finding a good approximation to begin with.
+In this case we'll just divide the exponent by three.
+(There are better but more complex guess algorithms used in 'real-life'.)
+
+Cube root function is 'Really Well Behaved' in that it is monotonic
+and has only one root (we leave negative values 'as an exercise for the student').
+*/
+
+//[root_finding_noderiv_2
+
+template <class T>
+T cbrt_noderiv(T x)
+{ 
+  // return cube root of x using bracket_and_solve (no derivatives).
+  using namespace std;                          // Help ADL of std functions.
+  using namespace boost::math::tools;           // For bracket_and_solve_root.
+
+  int exponent;
+  frexp(x, &exponent);                          // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent/3);              // Rough guess is to divide the exponent by three.
+  T factor = 2;                                 // How big steps to take when searching.
+
+  const boost::uintmax_t maxit = 20;            // Limit to maximum iterations.
+  boost::uintmax_t it = maxit;                  // Initally our chosen max iterations, but updated with actual.
+  bool is_rising = true;                        // So if result if guess^3 is too low, then try increasing guess.
+  int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+  // Some fraction of digits is used to control how accurate to try to make the result.
+  int get_digits = digits - 3;                  // We have to have a non-zero interval at each step, so
+                                                // maximum accuracy is digits - 1.  But we also have to
+                                                // allow for inaccuracy in f(x), otherwise the last few
+                                                // iterations just thrash around.
+  eps_tolerance<T> tol(get_digits);             // Set the tolerance.
+  std::pair<T, T> r = bracket_and_solve_root(cbrt_functor_noderiv<T>(x), guess, factor, is_rising, tol, it);
+  return r.first + (r.second - r.first)/2;      // Midway between brackets is our result, if necessary we could
+                                                // return the result as an interval here.
+}
+
+/*`
+
+[note The final parameter specifying a maximum number of iterations is optional.
+However, it defaults to `boost::uintmax_t maxit = (std::numeric_limits<boost::uintmax_t>::max)();`
+which is `18446744073709551615` and is more than anyone would wish to wait for!
+
+So it may be wise to chose some reasonable estimate of how many iterations may be needed, 
+In this case the function is so well behaved that we can chose a low value of 20.
+
+Internally when Boost.Math uses these functions, it sets the maximum iterations to
+`policies::get_max_root_iterations<Policy>();`.]
+
+Should we have wished we can show how many iterations were used in `bracket_and_solve_root` 
+(this information is lost outside `cbrt_noderiv`), for example with:
+
+  if (it >= maxit)
+  {
+    std::cout << "Unable to locate solution in " << maxit << " iterations:"
+      " Current best guess is between " << r.first << " and " << r.second << std::endl;
+  }
+  else
+  {
+    std::cout << "Converged after " << it << " (from maximum of " << maxit << " iterations)." << std::endl;
+  }
+
+for output like
+
+  Converged after 11 (from maximum of 20 iterations).
+*/
+//] [/root_finding_noderiv_2]
+
+
+// Cube root with 1st derivative (slope)
+
+/*
+We now solve the same problem, but using more information about the function,
+to show how this can speed up finding the best estimate of the root.
+
+For the root function, the 1st differential (the slope of the tangent to a curve at any point) is known.
+
+If you need some reminders then
+[@http://en.wikipedia.org/wiki/Derivative#Derivatives_of_elementary_functions Derivatives of elementary functions]
+may help.
+
+Using the rule that the derivative of ['x[super n]] for positive n (actually all nonzero n) is ['n x[super n-1]],
+allows us to get the 1st differential as ['3x[super 2]].
+
+To see how this extra information is used to find a root, view
+[@http://en.wikipedia.org/wiki/Newton%27s_method Newton-Raphson iterations]
+and the [@http://en.wikipedia.org/wiki/Newton%27s_method#mediaviewer/File:NewtonIteration_Ani.gif animation].
+
+We need to define a different functor `cbrt_functor_deriv` that returns
+both the evaluation of the function to solve, along with its first derivative:
+
+To \'return\' two values, we use a `std::pair` of floating-point values
+(though we could equally have used a std::tuple):
+*/
+
+//[root_finding_1_deriv_1
+
+template <class T>
+struct cbrt_functor_deriv
+{ // Functor also returning 1st derivative.
+  cbrt_functor_deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of,
+    // for example: calling cbrt_functor_deriv<T>(a) to use to get cube root of a.
+  }
+  std::pair<T, T> operator()(T const& x)
+  { 
+    // Return both f(x) and f'(x).
+    T fx = x*x*x - a;                // Difference (estimate x^3 - value).
+    T dx =  3 * x*x;                 // 1st derivative = 3x^2.
+    return std::make_pair(fx, dx);   // 'return' both fx and dx.
+  }
+private:
+  T a;                               // Store value to be 'cube_rooted'.
+};
+
+/*`Our cube root function is now:*/
+
+template <class T>
+T cbrt_deriv(T x)
+{ 
+  // return cube root of x using 1st derivative and Newton_Raphson.
+  using namespace boost::math::tools;
+  int exponent;
+  frexp(x, &exponent);                                // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent/3);                    // Rough guess is to divide the exponent by three.
+  T min = ldexp(0.5, exponent/3);                     // Minimum possible value is half our guess.
+  T max = ldexp(2., exponent/3);                      // Maximum possible value is twice our guess.
+  const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+  int get_digits = static_cast<int>(digits * 0.6);    // Accuracy doubles with each step, so stop when we have
+                                                      // just over half the digits correct.
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = newton_raphson_iterate(cbrt_functor_deriv<T>(x), guess, min, max, get_digits, it);
+  return result;
+}
+
+//] [/root_finding_1_deriv_1]
+
+
+/*
+[h3:cbrt_2_derivatives Cube root with 1st & 2nd derivative (slope & curvature)]
+
+Finally we define yet another functor `cbrt_functor_2deriv` that returns
+both the evaluation of the function to solve,
+along with its first *and second* derivatives:
+
+__spaces[''f](x) = 6x
+
+To \'return\' three values, we use a `tuple` of three floating-point values:
+*/
+
+//[root_finding_2deriv_1
+
+template <class T>
+struct cbrt_functor_2deriv
+{ 
+  // Functor returning both 1st and 2nd derivatives.
+  cbrt_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of, for example:
+    // calling cbrt_functor_2deriv<T>(x) to get cube root of x,
+  }
+  std::tuple<T, T, T> operator()(T const& x)
+  { 
+    // Return both f(x) and f'(x) and f''(x).
+    T fx = x*x*x - a;                     // Difference (estimate x^3 - value).
+    T dx = 3 * x*x;                       // 1st derivative = 3x^2.
+    T d2x = 6 * x;                        // 2nd derivative = 6x.
+    return std::make_tuple(fx, dx, d2x);  // 'return' fx, dx and d2x.
+  }
+private:
+  T a; // to be 'cube_rooted'.
+};
+
+/*`Our cube root function is now:*/
+
+template <class T>
+T cbrt_2deriv(T x)
+{ 
+  // return cube root of x using 1st and 2nd derivatives and Halley.
+  //using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools;
+  int exponent;
+  frexp(x, &exponent);                                // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent/3);                    // Rough guess is to divide the exponent by three.
+  T min = ldexp(0.5, exponent/3);                     // Minimum possible value is half our guess.
+  T max = ldexp(2., exponent/3);                      // Maximum possible value is twice our guess.
+  const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+  // digits used to control how accurate to try to make the result.
+  int get_digits = static_cast<int>(digits * 0.4);    // Accuracy triples with each step, so stop when just
+                                                      // over one third of the digits are correct.
+  boost::uintmax_t maxit = 20;
+  T result = halley_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, get_digits, maxit);
+  return result;
+}
+
+//] [/root_finding_2deriv_1]
+
+//[root_finding_2deriv_lambda
+
+template <class T>
+T cbrt_2deriv_lambda(T x)
+{
+   // return cube root of x using 1st and 2nd derivatives and Halley.
+   //using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools;
+   int exponent;
+   frexp(x, &exponent);                                // Get exponent of z (ignore mantissa).
+   T guess = ldexp(1., exponent / 3);                    // Rough guess is to divide the exponent by three.
+   T min = ldexp(0.5, exponent / 3);                     // Minimum possible value is half our guess.
+   T max = ldexp(2., exponent / 3);                      // Maximum possible value is twice our guess.
+   const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+   // digits used to control how accurate to try to make the result.
+   int get_digits = static_cast<int>(digits * 0.4);    // Accuracy triples with each step, so stop when just
+   // over one third of the digits are correct.
+   boost::uintmax_t maxit = 20;
+   T result = halley_iterate(
+      // lambda function:
+      [x](const T& g){ return std::make_tuple(g * g * g - x, 3 * g * g, 6 * g); }, 
+      guess, min, max, get_digits, maxit);
+   return result;
+}
+
+//] [/root_finding_2deriv_lambda]
+/*
+
+[h3 Fifth-root function]
+Let's now suppose we want to find the [*fifth root] of a number ['a].
+
+The equation we want to solve is :
+
+__spaces['f](x) = x[super 5] - a
+
+If your differentiation is a little rusty
+(or you are faced with an equation whose complexity is daunting),
+then you can get help, for example from the invaluable
+[@http://www.wolframalpha.com/ WolframAlpha site.]
+
+For example, entering the commmand: `differentiate x ^ 5`
+
+or the Wolfram Language command: ` D[x ^ 5, x]`
+
+gives the output: `d/dx(x ^ 5) = 5 x ^ 4`
+
+and to get the second differential, enter: `second differentiate x ^ 5`
+
+or the Wolfram Language command: `D[x ^ 5, { x, 2 }]`
+
+to get the output: `d ^ 2 / dx ^ 2(x ^ 5) = 20 x ^ 3`
+
+To get a reference value, we can enter: [^fifth root 3126]
+
+or: `N[3126 ^ (1 / 5), 50]`
+
+to get a result with a precision of 50 decimal digits:
+
+5.0003199590478625588206333405631053401128722314376
+
+(We could also get a reference value using Boost.Multiprecision - see below).
+
+The 1st and 2nd derivatives of x[super 5] are:
+
+__spaces['f]\'(x) = 5x[super 4]
+
+__spaces['f]\'\'(x) = 20x[super 3]
+
+*/
+
+//[root_finding_fifth_1
+//] [/root_finding_fifth_1]
+
+
+//[root_finding_fifth_functor_2deriv
+
+/*`Using these expressions for the derivatives, the functor is:
+*/
+
+template <class T>
+struct fifth_functor_2deriv
+{ 
+  // Functor returning both 1st and 2nd derivatives.
+  fifth_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { /* Constructor stores value a to find root of, for example: */ }
+
+  std::tuple<T, T, T> operator()(T const& x)
+  { 
+    // Return both f(x) and f'(x) and f''(x).
+    T fx = boost::math::pow<5>(x) - a;    // Difference (estimate x^3 - value).
+    T dx = 5 * boost::math::pow<4>(x);    // 1st derivative = 5x^4.
+    T d2x = 20 * boost::math::pow<3>(x);  // 2nd derivative = 20 x^3
+    return std::make_tuple(fx, dx, d2x);  // 'return' fx, dx and d2x.
+  }
+private:
+  T a;                                    // to be 'fifth_rooted'.
+}; // struct fifth_functor_2deriv
+
+//] [/root_finding_fifth_functor_2deriv]
+
+//[root_finding_fifth_2deriv
+
+/*`Our fifth-root function is now:
+*/
+
+template <class T>
+T fifth_2deriv(T x)
+{ 
+  // return fifth root of x using 1st and 2nd derivatives and Halley.
+  using namespace std;                  // Help ADL of std functions.
+  using namespace boost::math::tools;   // for halley_iterate.
+
+  int exponent;
+  frexp(x, &exponent);                  // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent / 5);    // Rough guess is to divide the exponent by five.
+  T min = ldexp(0.5, exponent / 5);     // Minimum possible value is half our guess.
+  T max = ldexp(2., exponent / 5);      // Maximum possible value is twice our guess.
+  // Stop when slightly more than one of the digits are correct:
+  const int digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4); 
+  const boost::uintmax_t maxit = 50;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(fifth_functor_2deriv<T>(x), guess, min, max, digits, it);
+  return result;
+}
+
+//] [/root_finding_fifth_2deriv]
+
+
+int main()
+{
+  std::cout << "Root finding  Examples." << std::endl;
+  std::cout.precision(std::numeric_limits<double>::max_digits10);
+  // Show all possibly significant decimal digits for double.
+  // std::cout.precision(std::numeric_limits<double>::digits10);
+  // Show all guaranteed significant decimal digits for double.
+
+
+//[root_finding_main_1
+  try
+  {
+    double threecubed = 27.;   // Value that has an *exactly representable* integer cube root.
+    double threecubedp1 = 28.; // Value whose cube root is *not* exactly representable.
+
+    std::cout << "cbrt(28) " << boost::math::cbrt(28.) << std::endl; // boost::math:: version of cbrt.
+    std::cout << "std::cbrt(28) " << std::cbrt(28.) << std::endl;    // std:: version of cbrt.
+    std::cout <<" cast double " << static_cast<double>(3.0365889718756625194208095785056696355814539772481111) << std::endl;
+
+    // Cube root using bracketing:
+    double r = cbrt_noderiv(threecubed);
+    std::cout << "cbrt_noderiv(" << threecubed << ") = " << r << std::endl;
+    r = cbrt_noderiv(threecubedp1);
+    std::cout << "cbrt_noderiv(" << threecubedp1 << ") = " << r << std::endl;
+//] [/root_finding_main_1]
+    //[root_finding_main_2
+
+    // Cube root using 1st differential Newton-Raphson:
+    r = cbrt_deriv(threecubed);
+    std::cout << "cbrt_deriv(" << threecubed << ") = " << r << std::endl;
+    r = cbrt_deriv(threecubedp1);
+    std::cout << "cbrt_deriv(" << threecubedp1 << ") = " << r << std::endl;
+
+    // Cube root using Halley with 1st and 2nd differentials.
+    r = cbrt_2deriv(threecubed);
+    std::cout << "cbrt_2deriv(" << threecubed << ") = " << r << std::endl;
+    r = cbrt_2deriv(threecubedp1);
+    std::cout << "cbrt_2deriv(" << threecubedp1 << ") = " << r << std::endl;
+
+    // Cube root using lambda's:
+    r = cbrt_2deriv_lambda(threecubed);
+    std::cout << "cbrt_2deriv(" << threecubed << ") = " << r << std::endl;
+    r = cbrt_2deriv_lambda(threecubedp1);
+    std::cout << "cbrt_2deriv(" << threecubedp1 << ") = " << r << std::endl;
+
+    // Fifth root.
+
+    double fivepowfive = 3125; // Example of a value that has an exact integer fifth root.
+    // Exact value of fifth root is exactly 5.
+    std::cout << "Fifth root  of " << fivepowfive << " is " << 5 << std::endl;
+
+    double fivepowfivep1 = fivepowfive + 1; // Example of a value whose fifth root is *not* exactly representable.
+    // Value of fifth root is 5.0003199590478625588206333405631053401128722314376 (50 decimal digits precision)
+    // and to std::numeric_limits<double>::max_digits10 double precision (usually 17) is
+
+    double root5v2 = static_cast<double>(5.0003199590478625588206333405631053401128722314376);
+        std::cout << "Fifth root  of " << fivepowfivep1 << " is " << root5v2 << std::endl;
+
+    // Using Halley with 1st and 2nd differentials.
+    r = fifth_2deriv(fivepowfive);
+    std::cout << "fifth_2deriv(" << fivepowfive << ") = " << r << std::endl;
+    r = fifth_2deriv(fivepowfivep1);
+    std::cout << "fifth_2deriv(" << fivepowfivep1 << ") = " << r << std::endl;
+//] [/root_finding_main_?]
+  }
+  catch(const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+}  // int main()
+
+//[root_finding_example_output
+/*`
+Normal output is:
+
+[pre
+  root_finding_example.cpp
+  Generating code
+  Finished generating code
+  root_finding_example.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\root_finding_example.exe
+  Cube Root finding (cbrt) Example.
+  Iterations 10
+  cbrt_1(27) = 3
+  Iterations 10
+  Unable to locate solution in chosen iterations: Current best guess is between 3.0365889718756613 and 3.0365889718756627
+  cbrt_1(28) = 3.0365889718756618
+  cbrt_1(27) = 3
+  cbrt_2(28) = 3.0365889718756627
+  Iterations 4
+  cbrt_3(27) = 3
+  Iterations 5
+  cbrt_3(28) = 3.0365889718756627
+
+] [/pre]
+
+to get some (much!) diagnostic output we can add
+
+#define BOOST_MATH_INSTRUMENT
+
+[pre
+
+]
+*/
+//] [/root_finding_example_output]
+
+/*
+
+cbrt(28) 3.0365889718756622
+std::cbrt(28) 3.0365889718756627
+
+*/
diff --git a/src/boost/libs/math/example/root_finding_fifth.cpp b/src/boost/libs/math/example/root_finding_fifth.cpp
new file mode 100644
index 00000000..a5f69938
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_fifth.cpp
@@ -0,0 +1,485 @@
+// root_finding_fith.cpp
+
+// Copyright Paul A. Bristow 2014.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example of finding fifth root using Newton-Raphson, Halley, Schroder, TOMS748 .
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// To get (copious!) diagnostic output, add make this define here or elsewhere.
+//#define BOOST_MATH_INSTRUMENT
+
+
+//[root_fifth_headers
+/*
+This example demonstrates how to use the Boost.Math tools for root finding,
+taking the fifth root function (fifth_root) as an example.
+It shows how use of derivatives can improve the speed.
+
+First some includes that will be needed.
+Using statements are provided to list what functions are being used in this example:
+you can of course qualify the names in other ways.
+*/
+
+#include <boost/math/tools/roots.hpp>
+using boost::math::policies::policy;
+using boost::math::tools::newton_raphson_iterate;
+using boost::math::tools::halley_iterate;
+using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+using boost::math::tools::bracket_and_solve_root;
+using boost::math::tools::toms748_solve;
+
+#include <boost/math/special_functions/next.hpp>
+
+#include <tuple>
+#include <utility> // pair, make_pair
+
+//] [/root_finding_headers]
+
+#include <iostream>
+using std::cout; using std::endl;
+#include <iomanip>
+using std::setw; using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+
+/*
+//[root_finding_fifth_1
+Let's suppose we want to find the fifth root of a number.
+
+The equation we want to solve is:
+
+__spaces ['f](x) = x[fifth]
+
+We will first solve this without using any information
+about the slope or curvature of the fifth function.
+
+If your differentiation is a little rusty
+(or you are faced with an equation whose complexity is daunting,
+then you can get help, for example from the invaluable
+
+http://www.wolframalpha.com/ site
+
+entering the commmand
+
+  differentiate x^5
+
+or the Wolfram Language command
+
+  D[x^5, x]
+
+gives the output
+
+  d/dx(x^5) = 5 x^4
+
+and to get the second differential, enter
+
+  second differentiate x^5
+
+or the Wolfram Language
+
+  D[x^5, {x, 2}]
+
+to get the output
+
+  d^2/dx^2(x^5) = 20 x^3
+
+or
+
+  20 x^3
+
+To get a reference value we can enter
+
+  fifth root 3126
+
+or
+
+  N[3126^(1/5), 50]
+
+to get a result with a precision of  50 decimal digits
+
+  5.0003199590478625588206333405631053401128722314376
+
+(We could also get a reference value using Boost.Multiprecision).
+
+We then show how adding what we can know, for this function, about the slope,
+the 1st derivation /f'(x)/, will speed homing in on the solution,
+and then finally how adding the curvature /f''(x)/ as well will improve even more.
+
+The 1st and 2nd derivatives of x[fifth] are:
+
+__spaces ['f]\'(x) = 2x[sup2]
+
+__spaces ['f]\'\'(x) = 6x
+
+*/
+
+//] [/root_finding_fifth_1]
+
+//[root_finding_fifth_functor_noderiv
+
+template <class T>
+struct fifth_functor_noderiv
+{ // fifth root of x using only function - no derivatives.
+  fifth_functor_noderiv(T const& to_find_root_of) : value(to_find_root_of)
+  { // Constructor stores value to find root of.
+    // For example: calling fifth_functor<T>(x) to get fifth root of x.
+  }
+  T operator()(T const& x)
+  { //! \returns f(x) - value.
+    T fx = x*x*x*x*x - value; // Difference (estimate x^5 - value).
+    return fx;
+  }
+private:
+  T value; // to be 'fifth_rooted'.
+};
+
+//] [/root_finding_fifth_functor_noderiv]
+
+//cout  << ", std::numeric_limits<" << typeid(T).name()  << ">::digits = " << digits
+//   << ", accuracy " << get_digits << " bits."<< endl;
+
+
+/*`Implementing the fifth root function itself is fairly trivial now:
+the hardest part is finding a good approximation to begin with.
+In this case we'll just divide the exponent by five.
+(There are better but more complex guess algorithms used in 'real-life'.)
+
+fifth root function is 'Really Well Behaved' in that it is monotonic
+and has only one root
+(we leave negative values 'as an exercise for the student').
+*/
+
+//[root_finding_fifth_noderiv
+
+template <class T>
+T fifth_noderiv(T x)
+{ //! \returns fifth root of x using bracket_and_solve (no derivatives).
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For bracket_and_solve_root.
+
+  int exponent;
+  frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent / 5); // Rough guess is to divide the exponent by five.
+  T factor = 2; // To multiply and divide guess to bracket.
+  // digits used to control how accurate to try to make the result.
+  // int digits =  3 * std::numeric_limits<T>::digits / 4; // 3/4 maximum possible binary digits accuracy for type T.
+  int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+
+  //boost::uintmax_t maxit = (std::numeric_limits<boost::uintmax_t>::max)();
+  // (std::numeric_limits<boost::uintmax_t>::max)() = 18446744073709551615
+  // which is more than anyone might wish to wait for!!!
+  // so better to choose some reasonable estimate of how many iterations may be needed.
+
+  const boost::uintmax_t maxit = 50; // Chosen max iterations,
+  // but updated on exit with actual iteration count.
+
+  // We could also have used a maximum iterations provided by any policy:
+  // boost::uintmax_t max_it = policies::get_max_root_iterations<Policy>();
+
+  boost::uintmax_t it = maxit; // Initally our chosen max iterations,
+
+  bool is_rising = true; // So if result if guess^5 is too low, try increasing guess.
+  eps_tolerance<double> tol(digits);
+  std::pair<T, T> r =
+    bracket_and_solve_root(fifth_functor_noderiv<T>(x), guess, factor, is_rising, tol, it);
+  // because the iteration count is updating,
+  // you can't call with a literal maximum iterations value thus:
+  //bracket_and_solve_root(fifth_functor_noderiv<T>(x), guess, factor, is_rising, tol, 20);
+
+  // Can show how many iterations (this information is lost outside fifth_noderiv).
+  cout << "Iterations " << it << endl;
+  if (it >= maxit)
+  { // Failed to converge (or is jumping between bracket values).
+    cout << "Unable to locate solution in chosen iterations:"
+      " Current best guess is between " << r.first << " and " << r.second << endl;
+  }
+  T distance = float_distance(r.first, r.second);
+  if (distance > 0)
+  { //
+    std::cout << distance << " bits separate the bracketing values." << std::endl;
+    for (int i = 0; i < distance; i++)
+    { // Show all the values within the bracketing values.
+      std::cout << float_advance(r.first, i) << std::endl;
+    }
+  }
+  else
+  { // distance == 0 and  r.second == r.first
+    std::cout << "Converged to a single value " << r.first << std::endl;
+  }
+
+  return r.first + (r.second - r.first) / 2;  // return midway between bracketed interval.
+} // T fifth_noderiv(T x)
+
+//] [/root_finding_fifth_noderiv]
+
+
+
+// maxit = 10
+// Unable to locate solution in chosen iterations: Current best guess is between 3.0365889718756613 and 3.0365889718756627
+
+
+/*`
+We now solve the same problem, but using more information about the function,
+to show how this can speed up finding the best estimate of the root.
+
+For this function, the 1st differential (the slope of the tangent to a curve at any point) is known.
+
+[@http://en.wikipedia.org/wiki/Derivative#Derivatives_of_elementary_functions Derivatives]
+gives some reminders.
+
+Using the rule that the derivative of x^n for positive n (actually all nonzero n) is nx^n-1,
+allows use to get the 1st differential as 3x^2.
+
+To see how this extra information is used to find the root, view this demo:
+[@http://en.wikipedia.org/wiki/Newton%27s_methodNewton Newton-Raphson iterations].
+
+We need to define a different functor that returns
+both the evaluation of the function to solve, along with its first derivative:
+
+To \'return\' two values, we use a pair of floating-point values:
+*/
+
+//[root_finding_fifth_functor_1stderiv
+
+template <class T>
+struct fifth_functor_1stderiv
+{ // Functor returning function and 1st derivative.
+
+  fifth_functor_1stderiv(T const& target) : value(target)
+  { // Constructor stores the value to be 'fifth_rooted'.
+  }
+
+  std::pair<T, T> operator()(T const& z) // z is best estimate so far.
+  { // Return both f(x) and first derivative f'(x).
+    T fx = z*z*z*z*z - value; // Difference estimate fx = x^5 - value.
+    T d1x = 5 * z*z*z*z; // 1st derivative d1x = 5x^4.
+    return std::make_pair(fx, d1x); // 'return' both fx and d1x.
+  }
+private:
+  T value; // to be 'fifth_rooted'.
+}; // fifth_functor_1stderiv
+
+//] [/root_finding_fifth_functor_1stderiv]
+
+
+/*`Our fifth root function using fifth_functor_1stderiv is now:*/
+
+//[root_finding_fifth_1deriv
+
+template <class T>
+T fifth_1deriv(T x)
+{ //! \return fifth root of x using 1st derivative and Newton_Raphson.
+  using namespace std; // For frexp, ldexp, numeric_limits.
+  using namespace boost::math::tools; // For newton_raphson_iterate.
+
+  int exponent;
+  frexp(x, &exponent); // Get exponent of x (ignore mantissa).
+  T guess = ldexp(1., exponent / 5); // Rough guess is to divide the exponent by three.
+  // Set an initial bracket interval.
+  T min = ldexp(0.5, exponent / 5); // Minimum possible value is half our guess.
+  T max = ldexp(2., exponent / 5);// Maximum possible value is twice our guess.
+
+  // digits used to control how accurate to try to make the result.
+  int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+
+  const boost::uintmax_t maxit = 20; // Optionally limit the number of iterations.
+  boost::uintmax_t it = maxit; // limit the number of iterations.
+  //cout << "Max Iterations " << maxit << endl; //
+  T result = newton_raphson_iterate(fifth_functor_1stderiv<T>(x), guess, min, max, digits, it);
+  // Can check and show how many iterations (updated by newton_raphson_iterate).
+  cout << it << " iterations (from max of " << maxit << ")" << endl;
+  return result;
+} // fifth_1deriv
+
+//] [/root_finding_fifth_1deriv]
+
+//  int get_digits = (digits * 2) /3; // Two thirds of maximum possible accuracy.
+
+//boost::uintmax_t maxit = (std::numeric_limits<boost::uintmax_t>::max)();
+// the default (std::numeric_limits<boost::uintmax_t>::max)() = 18446744073709551615
+// which is more than we might wish to wait for!!!  so we can reduce it
+
+/*`
+Finally need to define yet another functor that returns
+both the evaluation of the function to solve,
+along with its first and second derivatives:
+
+f''(x) = 3 * 3x
+
+To \'return\' three values, we use a tuple of three floating-point values:
+*/
+
+//[root_finding_fifth_functor_2deriv
+
+template <class T>
+struct fifth_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+  fifth_functor_2deriv(T const& to_find_root_of) : value(to_find_root_of)
+  { // Constructor stores value to find root of, for example:
+  }
+
+  // using boost::math::tuple; // to return three values.
+  std::tuple<T, T, T> operator()(T const& x)
+  { // Return both f(x) and f'(x) and f''(x).
+    T fx = x*x*x*x*x - value; // Difference (estimate x^3 - value).
+    T dx = 5 * x*x*x*x; // 1st derivative = 5x^4.
+    T d2x = 20 * x*x*x; // 2nd derivative = 20 x^3
+    return std::make_tuple(fx, dx, d2x); // 'return' fx, dx and d2x.
+  }
+private:
+  T value; // to be 'fifth_rooted'.
+}; // struct fifth_functor_2deriv
+
+//] [/root_finding_fifth_functor_2deriv]
+
+
+/*`Our fifth function is now:*/
+
+//[root_finding_fifth_2deriv
+
+template <class T>
+T fifth_2deriv(T x)
+{ // return fifth root of x using 1st and 2nd derivatives and Halley.
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math; // halley_iterate
+
+  int exponent;
+  frexp(x, &exponent); // Get exponent of z (ignore mantissa).
+  T guess = ldexp(1., exponent / 5); // Rough guess is to divide the exponent by three.
+  T min = ldexp(0.5, exponent / 5); // Minimum possible value is half our guess.
+  T max = ldexp(2., exponent / 5); // Maximum possible value is twice our guess.
+
+  int digits = std::numeric_limits<T>::digits / 2; // Half maximum possible binary digits accuracy for type T.
+  const boost::uintmax_t maxit = 50;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(fifth_functor_2deriv<T>(x), guess, min, max, digits, it);
+  // Can show how many iterations (updated by halley_iterate).
+  cout << it << " iterations (from max of " << maxit << ")" << endl;
+
+  return result;
+} // fifth_2deriv(x)
+
+//] [/root_finding_fifth_2deriv]
+
+int main()
+{
+
+  //[root_finding_example_1
+  cout << "fifth Root finding (fifth) Example." << endl;
+  // Show all possibly significant decimal digits.
+  cout.precision(std::numeric_limits<double>::max_digits10);
+  // or use   cout.precision(max_digits10 = 2 + std::numeric_limits<double>::digits * 3010/10000);
+  try
+  { // Always use try'n'catch blocks with Boost.Math to get any error messages.
+
+    double v27 = 3125; // Example of a value that has an exact integer fifth root.
+    // exact value of fifth root is exactly 5.
+
+    std::cout << "Fifth root  of " << v27 << " is " << 5 << std::endl;
+
+    double v28 = v27+1; // Example of a value whose fifth root is *not* exactly representable.
+    // Value of fifth root is 5.0003199590478625588206333405631053401128722314376 (50 decimal digits precision)
+    // and to std::numeric_limits<double>::max_digits10 double precision (usually 17) is
+
+    double root5v2 = static_cast<double>(5.0003199590478625588206333405631053401128722314376);
+
+    std::cout << "Fifth root  of " << v28 << " is "  << root5v2 << std::endl;
+
+    // Using bracketing:
+    double r = fifth_noderiv(v27);
+    cout << "fifth_noderiv(" << v27 << ") = " << r << endl;
+
+    r = fifth_noderiv(v28);
+    cout << "fifth_noderiv(" << v28 << ") = " << r << endl;
+
+    // Using 1st differential Newton-Raphson:
+    r = fifth_1deriv(v27);
+    cout << "fifth_1deriv(" << v27 << ") = " << r << endl;
+    r = fifth_1deriv(v28);
+    cout << "fifth_1deriv(" << v28 << ") = " << r << endl;
+
+    // Using Halley with 1st and 2nd differentials.
+    r = fifth_2deriv(v27);
+    cout << "fifth_2deriv(" << v27 << ") = " << r << endl;
+    r = fifth_2deriv(v28);
+    cout << "fifth_2deriv(" << v28 << ") = " << r << endl;
+  }
+  catch (const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  //] [/root_finding_example_1
+  return 0;
+}  // int main()
+
+//[root_finding_example_output
+/*`
+Normal output is:
+
+[pre
+1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Release\root_finding_fifth.exe"
+1>  fifth Root finding (fifth) Example.
+1>  Fifth root  of 3125 is 5
+1>  Fifth root  of 3126 is 5.0003199590478626
+1>  Iterations 10
+1>  Converged to a single value 5
+1>  fifth_noderiv(3125) = 5
+1>  Iterations 11
+1>  2 bits separate the bracketing values.
+1>  5.0003199590478609
+1>  5.0003199590478618
+1>  fifth_noderiv(3126) = 5.0003199590478618
+1>  6 iterations (from max of 20)
+1>  fifth_1deriv(3125) = 5
+1>  7 iterations (from max of 20)
+1>  fifth_1deriv(3126) = 5.0003199590478626
+1>  4 iterations (from max of 50)
+1>  fifth_2deriv(3125) = 5
+1>  4 iterations (from max of 50)
+1>  fifth_2deriv(3126) = 5.0003199590478626
+[/pre]
+
+to get some (much!) diagnostic output we can add
+
+#define BOOST_MATH_INSTRUMENT
+
+[pre
+1>  fifth Root finding (fifth) Example.
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:537 a = 4 b = 8 fa = -2101 fb = 29643 count = 18
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:340  a = 4.264742943548387 b = 8
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:352  a = 4.264742943548387 b = 5.1409225585147951
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:259  a = 4.264742943548387 b = 5.1409225585147951 d = 8 e = 4 fa = -1714.2037505671719 fb = 465.91652114644285 fd = 29643 fe = -2101
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:267 q11 = -3.735257056451613 q21 = -0.045655399937094755 q31 = 0.68893005658139972 d21 = -2.9047328414222999 d31 = -0.18724955838500826
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:275 q22 = -0.15074699539567221 q32 = 0.007740525571111408 d32 = -0.13385363287680208 q33 = 0.074868009790687237 c = 5.0362815354915851
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:388  a = 4.264742943548387 b = 5.0362815354915851
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:259  a = 4.264742943548387 b = 5.0362815354915851 d = 5.1409225585147951 e = 8 fa = -1714.2037505671719 fb = 115.03721886368339 fd = 465.91652114644285 fe = 29643
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:267 q11 = -0.045655399937094755 q21 = -0.034306988726112195 q31 = 0.7230181097615842 d21 = -0.1389480117493222 d31 = -0.048520482181613811
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:275 q22 = -0.00036345624935100459 q32 = 0.011175908093791367 d32 = -0.0030375853617102483 q33 = 0.00014618657296010219 c = 4.999083147976723
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:408  a = 4.999083147976723 b = 5.0362815354915851
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:433  a = 4.999083147976723 b = 5.0008904277935091
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:434  tol = -0.00036152225583956088
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:259  a = 4.999083147976723 b = 5.0008904277935091 d = 5.0362815354915851 e = 4.264742943548387 fa = -2.8641119933622576 fb = 2.7835781082976609 fd = 115.03721886368339 fe = -1714.2037505671719
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:267 q11 = -0.048520482181613811 q21 = -0.00087760104664616457 q31 = 0.00091652546535745522 d21 = -0.036268708744722128 d31 = -0.00089075435142862297
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:275 q22 = -1.9862562616034592e-005 q32 = 3.1952597740788757e-007 d32 = -1.2833778805050512e-005 q33 = 1.1763429980834706e-008 c = 5.0000000047314881
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:388  a = 4.999083147976723 b = 5.0000000047314881
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:259  a = 4.999083147976723 b = 5.0000000047314881 d = 5.0008904277935091 e = 5.0362815354915851 fa = -2.8641119933622576 fb = 1.4785900475544622e-005 fd = 2.7835781082976609 fe = 115.03721886368339
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:267 q11 = -0.00087760104664616457 q21 = -4.7298032238887272e-009 q31 = 0.00091685202154135855 d21 = -0.00089042779182425238 d31 = -4.7332236912279757e-009
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:275 q22 = -1.6486403607318402e-012 q32 = 1.7346209428817704e-012 d32 = -1.6858463963666777e-012 q33 = 9.0382569995250912e-016 c = 5
+1>  I:\modular-boost\boost/math/tools/toms748_solve.hpp:592 max_iter = 10 count = 7
+1>  Iterations 20
+1>  0 bits separate brackets.
+1>  fifth_noderiv(3125) = 5
+]
+*/
+//] [/root_finding_example_output]
diff --git a/src/boost/libs/math/example/root_finding_multiprecision_example.cpp b/src/boost/libs/math/example/root_finding_multiprecision_example.cpp
new file mode 100644
index 00000000..d658f193
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_multiprecision_example.cpp
@@ -0,0 +1,232 @@
+// Copyright Paul A. Bristow 2015.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// Example of root finding using Boost.Multiprecision.
+
+#include <boost/math/tools/roots.hpp>
+//using boost::math::policies::policy;
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::halley_iterate;
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+#include <boost/math/special_functions/pow.hpp>
+#include <boost/math/constants/constants.hpp>
+
+//[root_finding_multiprecision_include_1
+#include <boost/multiprecision/cpp_bin_float.hpp> // For cpp_bin_float_50.
+#include <boost/multiprecision/cpp_dec_float.hpp> // For cpp_dec_float_50.
+#ifndef _MSC_VER  // float128 is not yet supported by Microsoft compiler at 2013.
+#  include <boost/multiprecision/float128.hpp> // Requires libquadmath.
+#endif
+//] [/root_finding_multiprecision_include_1]
+
+#include <iostream>
+// using std::cout; using std::endl;
+#include <iomanip>
+// using std::setw; using std::setprecision;
+#include <limits>
+// using std::numeric_limits;
+#include <tuple>
+#include <utility> // pair, make_pair
+
+// #define BUILTIN_POW_GUESS // define to use std::pow function to obtain a guess.
+
+template <class T>
+T cbrt_2deriv(T x)
+{ // return cube root of x using 1st and 2nd derivatives and Halley.
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For halley_iterate.
+
+  // If T is not a binary floating-point type, for example, cpp_dec_float_50
+  // then frexp may not be defined,
+  // so it may be necessary to compute the guess using a built-in type,
+  // probably quickest using double, but perhaps with float or long double.
+  // Note that the range of exponent may be restricted by a built-in-type for guess.
+
+  typedef long double guess_type;
+
+#ifdef BUILTIN_POW_GUESS
+  guess_type pow_guess = std::pow(static_cast<guess_type>(x), static_cast<guess_type>(1) / 3);
+  T guess = pow_guess;
+  T min = pow_guess /2;
+  T max = pow_guess * 2;
+#else
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent); // Get exponent of z (ignore mantissa).
+  T guess = ldexp(static_cast<guess_type>(1.), exponent / 3); // Rough guess is to divide the exponent by three.
+  T min = ldexp(static_cast<guess_type>(1.) / 2, exponent / 3); // Minimum possible value is half our guess.
+  T max = ldexp(static_cast<guess_type>(2.), exponent / 3); // Maximum possible value is twice our guess.
+#endif
+
+  int digits = std::numeric_limits<T>::digits / 2; // Half maximum possible binary digits accuracy for type T.
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, digits, it);
+  // Can show how many iterations (updated by halley_iterate).
+  // std::cout << "Iterations " << it << " (from max of "<< maxit << ")." << std::endl;
+  return result;
+} // cbrt_2deriv(x)
+
+
+template <class T>
+struct cbrt_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+  cbrt_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value to find root of, for example:
+  }
+
+  // using boost::math::tuple; // to return three values.
+  std::tuple<T, T, T> operator()(T const& x)
+  { 
+    // Return both f(x) and f'(x) and f''(x).
+    T fx = x*x*x - a;                     // Difference (estimate x^3 - value).
+    // std::cout << "x = " << x << "\nfx = " << fx << std::endl;
+    T dx = 3 * x*x;                       // 1st derivative = 3x^2.
+    T d2x = 6 * x;                        // 2nd derivative = 6x.
+    return std::make_tuple(fx, dx, d2x);  // 'return' fx, dx and d2x.
+  }
+private:
+  T a;                                    // to be 'cube_rooted'.
+}; // struct cbrt_functor_2deriv
+
+template <int n, class T>
+struct nth_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+
+  nth_functor_2deriv(T const& to_find_root_of) : value(to_find_root_of)
+  { /* Constructor stores value to find root of, for example: */ }
+
+  // using std::tuple; // to return three values.
+  std::tuple<T, T, T> operator()(T const& x)
+  { 
+    // Return both f(x) and f'(x) and f''(x).
+    using boost::math::pow;
+    T fx = pow<n>(x) - value;              // Difference (estimate x^3 - value).
+    T dx = n * pow<n - 1>(x);              // 1st derivative = 5x^4.
+    T d2x = n * (n - 1) * pow<n - 2 >(x);  // 2nd derivative = 20 x^3
+    return std::make_tuple(fx, dx, d2x);   // 'return' fx, dx and d2x.
+  }
+private:
+  T value;                                 // to be 'nth_rooted'.
+}; // struct nth_functor_2deriv
+
+
+template <int n, class T>
+T nth_2deriv(T x)
+{ 
+  // return nth root of x using 1st and 2nd derivatives and Halley.
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math; // For halley_iterate.
+
+  int exponent;
+  frexp(x, &exponent);                                 // Get exponent of z (ignore mantissa).
+  T guess = ldexp(static_cast<T>(1.), exponent / n);   // Rough guess is to divide the exponent by three.
+  T min = ldexp(static_cast<T>(0.5), exponent / n);    // Minimum possible value is half our guess.
+  T max = ldexp(static_cast<T>(2.), exponent / n);     // Maximum possible value is twice our guess.
+
+  int digits = std::numeric_limits<T>::digits / 2;     // Half maximum possible binary digits accuracy for type T.
+  const boost::uintmax_t maxit = 50;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(nth_functor_2deriv<n, T>(x), guess, min, max, digits, it);
+  // Can show how many iterations (updated by halley_iterate).
+  std::cout << it << " iterations (from max of " << maxit << ")" << std::endl;
+
+  return result;
+} // nth_2deriv(x)
+
+//[root_finding_multiprecision_show_1
+
+template <typename T>
+T show_cube_root(T value)
+{ // Demonstrate by printing the root using all definitely significant digits.
+  std::cout.precision(std::numeric_limits<T>::digits10);
+  T r = cbrt_2deriv(value);
+  std::cout << "value = " << value << ", cube root =" << r << std::endl;
+  return r;
+}
+
+//] [/root_finding_multiprecision_show_1]
+
+int main()
+{
+  std::cout << "Multiprecision Root finding Example." << std::endl;
+  // Show all possibly significant decimal digits.
+  std::cout.precision(std::numeric_limits<double>::digits10);
+  // or use   cout.precision(max_digits10 = 2 + std::numeric_limits<double>::digits * 3010/10000);
+  //[root_finding_multiprecision_example_1
+  using boost::multiprecision::cpp_dec_float_50; // decimal.
+  using boost::multiprecision::cpp_bin_float_50; // binary.
+#ifndef _MSC_VER  // Not supported by Microsoft compiler.
+  using boost::multiprecision::float128;
+#endif
+  //] [/root_finding_multiprecision_example_1
+
+  try
+  { // Always use try'n'catch blocks with Boost.Math to get any error messages.
+    // Increase the precision to 50 decimal digits using Boost.Multiprecision
+//[root_finding_multiprecision_example_2
+
+      std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+
+      cpp_dec_float_50 two = 2; // 
+      cpp_dec_float_50  r = cbrt_2deriv(two);
+      std::cout << "cbrt(" << two << ") = " << r << std::endl;
+
+      r = cbrt_2deriv(2.); // Passing a double, so ADL will compute a double precision result.
+      std::cout << "cbrt(" << two << ") = " << r << std::endl;
+      // cbrt(2) = 1.2599210498948731906665443602832965552806854248047 'wrong' from digits 17 onwards!
+      r = cbrt_2deriv(static_cast<cpp_dec_float_50>(2.)); // Passing a cpp_dec_float_50, 
+      // so will compute a cpp_dec_float_50 precision result.
+      std::cout << "cbrt(" << two << ") = " << r << std::endl;
+      r = cbrt_2deriv<cpp_dec_float_50>(2.); // Explictly a cpp_dec_float_50, so will compute a cpp_dec_float_50 precision result.
+      std::cout << "cbrt(" << two << ") = " << r << std::endl;
+      // cpp_dec_float_50 1.2599210498948731647672106072782283505702514647015
+//] [/root_finding_multiprecision_example_2
+     //  N[2^(1/3), 50]  1.2599210498948731647672106072782283505702514647015
+
+      //show_cube_root(2); // Integer parameter - Errors!
+      //show_cube_root(2.F); // Float parameter - Warnings!
+//[root_finding_multiprecision_example_3
+      show_cube_root(2.);
+      show_cube_root(2.L);
+      show_cube_root(two);
+
+//] [/root_finding_multiprecision_example_3
+
+  }
+  catch (const std::exception& e)
+  { // Always useful to include try&catch blocks because default policies 
+    // are to throw exceptions on arguments that cause errors like underflow & overflow. 
+    // Lacking try&catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+} // int main()
+
+
+/*
+
+Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Release\root_finding_multiprecision.exe"
+Multiprecision Root finding Example.
+cbrt(2) = 1.2599210498948731647672106072782283505702514647015
+cbrt(2) = 1.2599210498948731906665443602832965552806854248047
+cbrt(2) = 1.2599210498948731647672106072782283505702514647015
+cbrt(2) = 1.2599210498948731647672106072782283505702514647015
+value = 2, cube root =1.25992104989487
+value = 2, cube root =1.25992104989487
+value = 2, cube root =1.2599210498948731647672106072782283505702514647015
+
+
+*/
diff --git a/src/boost/libs/math/example/root_finding_n_example.cpp b/src/boost/libs/math/example/root_finding_n_example.cpp
new file mode 100644
index 00000000..096ed954
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_n_example.cpp
@@ -0,0 +1,213 @@
+// Copyright Paul A. Bristow 2014, 2015.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+
+// Example of finding nth root using 1st and 2nd derivatives of x^n.
+
+#include <boost/math/tools/roots.hpp>
+//using boost::math::policies::policy;
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::halley_iterate;
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+
+#include <boost/math/special_functions/next.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/pow.hpp>
+#include <boost/math/constants/constants.hpp>
+
+#include <boost/multiprecision/cpp_dec_float.hpp> // For cpp_dec_float_50.
+#include <boost/multiprecision/cpp_bin_float.hpp> // using boost::multiprecision::cpp_bin_float_50;
+#ifndef _MSC_VER  // float128 is not yet supported by Microsoft compiler at 2013.
+# include <boost/multiprecision/float128.hpp>
+#endif
+
+#include <iostream>
+// using std::cout; using std::endl;
+#include <iomanip>
+// using std::setw; using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+#include <tuple>
+#include <utility> // pair, make_pair
+
+
+//[root_finding_nth_functor_2deriv
+template <int N, class T = double>
+struct nth_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+
+  nth_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { /* Constructor stores value a to find root of, for example: */ }
+
+  // using boost::math::tuple; // to return three values.
+  std::tuple<T, T, T> operator()(T const& x)
+  { 
+    // Return f(x), f'(x) and f''(x).
+    using boost::math::pow;
+    T fx = pow<N>(x) - a;                  // Difference (estimate x^n - a).
+    T dx = N * pow<N - 1>(x);              // 1st derivative f'(x).
+    T d2x = N * (N - 1) * pow<N - 2 >(x);  // 2nd derivative f''(x).
+
+    return std::make_tuple(fx, dx, d2x);   // 'return' fx, dx and d2x.
+  }
+private:
+  T a;                                     // to be 'nth_rooted'.
+};
+
+//] [/root_finding_nth_functor_2deriv]
+
+/*
+To show the progress, one might use this before the return statement above?
+#ifdef BOOST_MATH_ROOT_DIAGNOSTIC
+std::cout << " x = " << x << ", fx = " << fx << ", dx = " << dx << ", dx2 = " << d2x << std::endl;
+#endif
+*/
+
+// If T is a floating-point type, might be quicker to compute the guess using a built-in type,
+// probably quickest using double, but perhaps with float or long double, T.
+
+// If T is a type for which frexp and ldexp are not defined,
+// then it is necessary to compute the guess using a built-in type,
+// probably quickest (but limited range) using double,
+// but perhaps with float or long double, or a multiprecision T for the full range of T.
+// typedef double guess_type; is used to specify the this.
+
+//[root_finding_nth_function_2deriv
+
+template <int N, class T = double>
+T nth_2deriv(T x)
+{ // return nth root of x using 1st and 2nd derivatives and Halley.
+
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For halley_iterate.
+
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+  BOOST_STATIC_ASSERT_MSG((N > 1000) == false, "root N is too big!");
+
+  typedef double guess_type; // double may restrict (exponent) range for a multiprecision T?
+
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent);                 // Get exponent of z (ignore mantissa).
+  T guess = ldexp(static_cast<guess_type>(1.), exponent / N);   // Rough guess is to divide the exponent by n.
+  T min = ldexp(static_cast<guess_type>(1.) / 2, exponent / N); // Minimum possible value is half our guess.
+  T max = ldexp(static_cast<guess_type>(2.), exponent / N);     // Maximum possible value is twice our guess.
+
+  int digits = std::numeric_limits<T>::digits * 0.4;            // Accuracy triples with each step, so stop when
+                                                                // slightly more than one third of the digits are correct.
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(nth_functor_2deriv<N, T>(x), guess, min, max, digits, it);
+  return result;
+}
+
+//] [/root_finding_nth_function_2deriv]
+
+
+template <int N, typename T = double>
+T show_nth_root(T value)
+{ // Demonstrate by printing the nth root using all possibly significant digits.
+  //std::cout.precision(std::numeric_limits<T>::max_digits10);
+  // or use   cout.precision(max_digits10 = 2 + std::numeric_limits<double>::digits * 3010/10000);
+  // Or guaranteed significant digits:
+   std::cout.precision(std::numeric_limits<T>::digits10);
+
+  T r = nth_2deriv<N>(value);
+  std::cout << "Type " << typeid(T).name() << " value = " << value << ", " << N << "th root = " << r << std::endl;
+  return r;
+} // print_nth_root
+
+
+int main()
+{
+  std::cout << "nth Root finding Example." << std::endl;
+  using boost::multiprecision::cpp_dec_float_50; // decimal.
+  using boost::multiprecision::cpp_bin_float_50; // binary.
+#ifndef _MSC_VER  // Not supported by Microsoft compiler.
+  using boost::multiprecision::float128; // Requires libquadmath
+#endif
+  try
+  { // Always use try'n'catch blocks with Boost.Math to get any error messages.
+
+//[root_finding_n_example_1
+    double r1 = nth_2deriv<5, double>(2); // Integral value converted to double.
+
+    // double r2 = nth_2deriv<5>(2); // Only floating-point type types can be used!
+
+//] [/root_finding_n_example_1
+
+    //show_nth_root<5, float>(2); // Integral value converted to float.
+    //show_nth_root<5, float>(2.F); // 'initializing' : conversion from 'double' to 'float', possible loss of data
+
+//[root_finding_n_example_2
+
+
+    show_nth_root<5, double>(2.);
+    show_nth_root<5, long double>(2.);
+#ifndef _MSC_VER  // float128 is not supported by Microsoft compiler 2013.
+    show_nth_root<5, float128>(2);
+#endif
+    show_nth_root<5, cpp_dec_float_50>(2); // dec
+    show_nth_root<5, cpp_bin_float_50>(2); // bin
+//] [/root_finding_n_example_2
+
+    // show_nth_root<1000000>(2.); // Type double value = 2, 555th root = 1.00124969405651
+    // Type double value = 2, 1000th root = 1.00069338746258
+    // Type double value = 2, 1000000th root = 1.00000069314783
+  }
+  catch (const std::exception& e)
+  { // Always useful to include try & catch blocks because default policies
+    // are to throw exceptions on arguments that cause errors like underflow, overflow.
+    // Lacking try & catch blocks, the program will abort without a message below,
+    // which may give some helpful clues as to the cause of the exception.
+    std::cout <<
+      "\n""Message from thrown exception was:\n   " << e.what() << std::endl;
+  }
+  return 0;
+} // int main()
+
+
+/*
+//[root_finding_example_output_1
+ Using MSVC 2013
+
+nth Root finding Example.
+Type double value = 2, 5th root = 1.14869835499704
+Type long double value = 2, 5th root = 1.14869835499704
+Type class boost::multiprecision::number<class boost::multiprecision::backends::cpp_dec_float<50,int,void>,1> value = 2,
+  5th root = 1.1486983549970350067986269467779275894438508890978
+Type class boost::multiprecision::number<class boost::multiprecision::backends::cpp_bin_float<50,10,void,int,0,0>,0> value = 2,
+  5th root = 1.1486983549970350067986269467779275894438508890978
+
+//] [/root_finding_example_output_1]
+
+//[root_finding_example_output_2
+
+ Using GCC 4.91  (includes float_128 type)
+
+ nth Root finding Example.
+Type d value = 2, 5th root = 1.14869835499704
+Type e value = 2, 5th root = 1.14869835499703501
+Type N5boost14multiprecision6numberINS0_8backends16float128_backendELNS0_26expression_template_optionE0EEE value = 2, 5th root = 1.148698354997035006798626946777928
+Type N5boost14multiprecision6numberINS0_8backends13cpp_dec_floatILj50EivEELNS0_26expression_template_optionE1EEE value = 2, 5th root = 1.1486983549970350067986269467779275894438508890978
+Type N5boost14multiprecision6numberINS0_8backends13cpp_bin_floatILj50ELNS2_15digit_base_typeE10EviLi0ELi0EEELNS0_26expression_template_optionE0EEE value = 2, 5th root = 1.1486983549970350067986269467779275894438508890978
+
+RUN SUCCESSFUL (total time: 63ms)
+
+//] [/root_finding_example_output_2]
+*/
+
+/*
+Throw out of range using GCC release mode :-(
+
+ */
diff --git a/src/boost/libs/math/example/root_finding_start_locations.cpp b/src/boost/libs/math/example/root_finding_start_locations.cpp
new file mode 100644
index 00000000..2cb0bcf0
--- /dev/null
+++ b/src/boost/libs/math/example/root_finding_start_locations.cpp
@@ -0,0 +1,449 @@
+// Copyright John Maddock 2015
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Comparison of finding roots using TOMS748, Newton-Raphson, Halley & Schroder algorithms.
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+// This program also writes files in Quickbook tables mark-up format.
+
+#include <boost/cstdlib.hpp>
+#include <boost/config.hpp>
+#include <boost/array.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+template <class T>
+struct cbrt_functor_noderiv
+{
+   //  cube root of x using only function - no derivatives.
+   cbrt_functor_noderiv(T const& to_find_root_of) : a(to_find_root_of)
+   { /* Constructor just stores value a to find root of. */
+   }
+   T operator()(T const& x)
+   {
+      T fx = x*x*x - a; // Difference (estimate x^3 - a).
+      return fx;
+   }
+private:
+   T a; // to be 'cube_rooted'.
+};
+//] [/root_finding_noderiv_1
+
+template <class T>
+boost::uintmax_t cbrt_noderiv(T x, T guess)
+{
+   // return cube root of x using bracket_and_solve (no derivatives).
+   using namespace std;                          // Help ADL of std functions.
+   using namespace boost::math::tools;           // For bracket_and_solve_root.
+
+   T factor = 2;                                 // How big steps to take when searching.
+
+   const boost::uintmax_t maxit = 20;            // Limit to maximum iterations.
+   boost::uintmax_t it = maxit;                  // Initally our chosen max iterations, but updated with actual.
+   bool is_rising = true;                        // So if result if guess^3 is too low, then try increasing guess.
+   int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+   // Some fraction of digits is used to control how accurate to try to make the result.
+   int get_digits = digits - 3;                  // We have to have a non-zero interval at each step, so
+   // maximum accuracy is digits - 1.  But we also have to
+   // allow for inaccuracy in f(x), otherwise the last few
+   // iterations just thrash around.
+   eps_tolerance<T> tol(get_digits);             // Set the tolerance.
+   bracket_and_solve_root(cbrt_functor_noderiv<T>(x), guess, factor, is_rising, tol, it);
+   return it;
+}
+
+template <class T>
+struct cbrt_functor_deriv
+{ // Functor also returning 1st derivative.
+   cbrt_functor_deriv(T const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of,
+      // for example: calling cbrt_functor_deriv<T>(a) to use to get cube root of a.
+   }
+   std::pair<T, T> operator()(T const& x)
+   {
+      // Return both f(x) and f'(x).
+      T fx = x*x*x - a;                // Difference (estimate x^3 - value).
+      T dx = 3 * x*x;                 // 1st derivative = 3x^2.
+      return std::make_pair(fx, dx);   // 'return' both fx and dx.
+   }
+private:
+   T a;                               // Store value to be 'cube_rooted'.
+};
+
+template <class T>
+boost::uintmax_t cbrt_deriv(T x, T guess)
+{
+   // return cube root of x using 1st derivative and Newton_Raphson.
+   using namespace boost::math::tools;
+   T min = guess / 100;                     // We don't really know what this should be!
+   T max = guess * 100;                     // We don't really know what this should be!
+   const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+   int get_digits = static_cast<int>(digits * 0.6);    // Accuracy doubles with each step, so stop when we have
+   // just over half the digits correct.
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   newton_raphson_iterate(cbrt_functor_deriv<T>(x), guess, min, max, get_digits, it);
+   return it;
+}
+
+template <class T>
+struct cbrt_functor_2deriv
+{
+   // Functor returning both 1st and 2nd derivatives.
+   cbrt_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of, for example:
+      // calling cbrt_functor_2deriv<T>(x) to get cube root of x,
+   }
+   std::tuple<T, T, T> operator()(T const& x)
+   {
+      // Return both f(x) and f'(x) and f''(x).
+      T fx = x*x*x - a;                     // Difference (estimate x^3 - value).
+      T dx = 3 * x*x;                       // 1st derivative = 3x^2.
+      T d2x = 6 * x;                        // 2nd derivative = 6x.
+      return std::make_tuple(fx, dx, d2x);  // 'return' fx, dx and d2x.
+   }
+private:
+   T a; // to be 'cube_rooted'.
+};
+
+template <class T>
+boost::uintmax_t cbrt_2deriv(T x, T guess)
+{ 
+   // return cube root of x using 1st and 2nd derivatives and Halley.
+   //using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools;
+   T min = guess / 100;                     // We don't really know what this should be!
+   T max = guess * 100;                     // We don't really know what this should be!
+   const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+   // digits used to control how accurate to try to make the result.
+   int get_digits = static_cast<int>(digits * 0.4);    // Accuracy triples with each step, so stop when just
+   // over one third of the digits are correct.
+   boost::uintmax_t maxit = 20;
+   halley_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, get_digits, maxit);
+   return maxit;
+}
+
+template <class T>
+boost::uintmax_t cbrt_2deriv_s(T x, T guess)
+{ 
+   // return cube root of x using 1st and 2nd derivatives and Halley.
+   //using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools;
+   T min = guess / 100;                     // We don't really know what this should be!
+   T max = guess * 100;                     // We don't really know what this should be!
+   const int digits = std::numeric_limits<T>::digits;  // Maximum possible binary digits accuracy for type T.
+   // digits used to control how accurate to try to make the result.
+   int get_digits = static_cast<int>(digits * 0.4);    // Accuracy triples with each step, so stop when just
+   // over one third of the digits are correct.
+   boost::uintmax_t maxit = 20;
+   schroder_iterate(cbrt_functor_2deriv<T>(x), guess, min, max, get_digits, maxit);
+   return maxit;
+}
+
+template <typename T = double>
+struct elliptic_root_functor_noderiv
+{ 
+   elliptic_root_functor_noderiv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius)
+   { // Constructor just stores value a to find root of.
+   }
+   T operator()(T const& x)
+   {
+      // return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x:
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T k = sqrt(1 - b * b / (a * a));
+      return 4 * a * boost::math::ellint_2(k) - m_arc;
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+}; // template <class T> struct elliptic_root_functor_noderiv
+
+template <class T = double>
+boost::uintmax_t elliptic_root_noderiv(T radius, T arc, T guess)
+{ // return the other radius of an ellipse, given one radii and the arc-length
+   using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools; // For bracket_and_solve_root.
+
+   T factor = 2;                       // How big steps to take when searching.
+
+   const boost::uintmax_t maxit = 50;  // Limit to maximum iterations.
+   boost::uintmax_t it = maxit;        // Initally our chosen max iterations, but updated with actual.
+   bool is_rising = true;              // arc-length increases if one radii increases, so function is rising
+   // Define a termination condition, stop when nearly all digits are correct, but allow for
+   // the fact that we are returning a range, and must have some inaccuracy in the elliptic integral:
+   eps_tolerance<T> tol(std::numeric_limits<T>::digits - 2);
+   // Call bracket_and_solve_root to find the solution, note that this is a rising function:
+   bracket_and_solve_root(elliptic_root_functor_noderiv<T>(arc, radius), guess, factor, is_rising, tol, it);
+   return it;
+} 
+
+template <class T = double>
+struct elliptic_root_functor_1deriv
+{ // Functor also returning 1st derviative.
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   elliptic_root_functor_1deriv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius)
+   { // Constructor just stores value a to find root of.
+   }
+   std::pair<T, T> operator()(T const& x)
+   {
+      // Return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x, plus it's derivative.
+      // See http://www.wolframalpha.com/input/?i=d%2Fda+[4+*+a+*+EllipticE%281+-+b^2%2Fa^2%29]
+      // We require two elliptic integral calls, but from these we can calculate both
+      // the function and it's derivative:
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T a2 = a * a;
+      T b2 = b * b;
+      T k = sqrt(1 - b2 / a2);
+      T Ek = boost::math::ellint_2(k);
+      T Kk = boost::math::ellint_1(k);
+      T fx = 4 * a * Ek - m_arc;
+      T dfx = 4 * (a2 * Ek - b2 * Kk) / (a2 - b2);
+      return std::make_pair(fx, dfx);
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+};  // struct elliptic_root__functor_1deriv
+
+template <class T = double>
+boost::uintmax_t elliptic_root_1deriv(T radius, T arc, T guess)
+{
+   using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools; // For newton_raphson_iterate.
+
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   T min = 0;   // Minimum possible value is zero.
+   T max = arc; // Maximum possible value is the arc length.
+
+   // Accuracy doubles at each step, so stop when just over half of the digits are
+   // correct, and rely on that step to polish off the remainder:
+   int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.6);
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   newton_raphson_iterate(elliptic_root_functor_1deriv<T>(arc, radius), guess, min, max, get_digits, it);
+   return it;
+}
+
+template <class T = double>
+struct elliptic_root_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   elliptic_root_functor_2deriv(T const& arc, T const& radius) : m_arc(arc), m_radius(radius) {}
+   std::tuple<T, T, T> operator()(T const& x)
+   {
+      // Return the difference between required arc-length, and the calculated arc-length for an
+      // ellipse with radii m_radius and x, plus it's derivative.
+      // See http://www.wolframalpha.com/input/?i=d^2%2Fda^2+[4+*+a+*+EllipticE%281+-+b^2%2Fa^2%29]
+      // for the second derivative.
+      T a = (std::max)(m_radius, x);
+      T b = (std::min)(m_radius, x);
+      T a2 = a * a;
+      T b2 = b * b;
+      T k = sqrt(1 - b2 / a2);
+      T Ek = boost::math::ellint_2(k);
+      T Kk = boost::math::ellint_1(k);
+      T fx = 4 * a * Ek - m_arc;
+      T dfx = 4 * (a2 * Ek - b2 * Kk) / (a2 - b2);
+      T dfx2 = 4 * b2 * ((a2 + b2) * Kk - 2 * a2 * Ek) / (a * (a2 - b2) * (a2 - b2));
+      return std::make_tuple(fx, dfx, dfx2);
+   }
+private:
+   T m_arc;     // length of arc.
+   T m_radius;  // one of the two radii of the ellipse
+};
+
+template <class T = double>
+boost::uintmax_t elliptic_root_2deriv(T radius, T arc, T guess)
+{
+   using namespace std;                // Help ADL of std functions.
+   using namespace boost::math::tools; // For halley_iterate.
+
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   T min = 0;                                   // Minimum possible value is zero.
+   T max = arc;                                 // radius can't be larger than the arc length.
+
+   // Accuracy triples at each step, so stop when just over one-third of the digits
+   // are correct, and the last iteration will polish off the remaining digits:
+   int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4);
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   halley_iterate(elliptic_root_functor_2deriv<T>(arc, radius), guess, min, max, get_digits, it);
+   return it;
+} // nth_2deriv Halley
+//]
+// Using 1st and 2nd derivatives using Schroder algorithm.
+
+template <class T = double>
+boost::uintmax_t elliptic_root_2deriv_s(T radius, T arc, T guess)
+{ // return nth root of x using 1st and 2nd derivatives and Schroder.
+
+   using namespace std;  // Help ADL of std functions.
+   using namespace boost::math::tools; // For schroder_iterate.
+
+   BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+
+   T min = 0; // Minimum possible value is zero.
+   T max = arc; // radius can't be larger than the arc length.
+
+   int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+   int get_digits = static_cast<int>(digits * 0.4);
+   const boost::uintmax_t maxit = 20;
+   boost::uintmax_t it = maxit;
+   schroder_iterate(elliptic_root_functor_2deriv<T>(arc, radius), guess, min, max, get_digits, it);
+   return it;
+} // T elliptic_root_2deriv_s Schroder
+
+
+int main()
+{
+   try
+   {
+      double to_root = 500;
+      double answer = 7.93700525984;
+
+      std::cout << "[table\n"
+         << "[[Initial Guess=][-500% ([approx]1.323)][-100% ([approx]3.97)][-50% ([approx]3.96)][-20% ([approx]6.35)][-10% ([approx]7.14)][-5% ([approx]7.54)]"
+         "[5% ([approx]8.33)][10% ([approx]8.73)][20% ([approx]9.52)][50% ([approx]11.91)][100% ([approx]15.87)][500 ([approx]47.6)]]\n";
+      std::cout << "[[bracket_and_solve_root]["
+         << cbrt_noderiv(to_root, answer / 6)
+         << "][" << cbrt_noderiv(to_root, answer / 2)
+         << "][" << cbrt_noderiv(to_root, answer - answer * 0.5)
+         << "][" << cbrt_noderiv(to_root, answer - answer * 0.2)
+         << "][" << cbrt_noderiv(to_root, answer - answer * 0.1)
+         << "][" << cbrt_noderiv(to_root, answer - answer * 0.05)
+         << "][" << cbrt_noderiv(to_root, answer + answer * 0.05)
+         << "][" << cbrt_noderiv(to_root, answer + answer * 0.1)
+         << "][" << cbrt_noderiv(to_root, answer + answer * 0.2)
+         << "][" << cbrt_noderiv(to_root, answer + answer * 0.5)
+         << "][" << cbrt_noderiv(to_root, answer + answer)
+         << "][" << cbrt_noderiv(to_root, answer + answer * 5) << "]]\n";
+
+      std::cout << "[[newton_iterate]["
+         << cbrt_deriv(to_root, answer / 6)
+         << "][" << cbrt_deriv(to_root, answer / 2)
+         << "][" << cbrt_deriv(to_root, answer - answer * 0.5)
+         << "][" << cbrt_deriv(to_root, answer - answer * 0.2)
+         << "][" << cbrt_deriv(to_root, answer - answer * 0.1)
+         << "][" << cbrt_deriv(to_root, answer - answer * 0.05)
+         << "][" << cbrt_deriv(to_root, answer + answer * 0.05)
+         << "][" << cbrt_deriv(to_root, answer + answer * 0.1)
+         << "][" << cbrt_deriv(to_root, answer + answer * 0.2)
+         << "][" << cbrt_deriv(to_root, answer + answer * 0.5)
+         << "][" << cbrt_deriv(to_root, answer + answer)
+         << "][" << cbrt_deriv(to_root, answer + answer * 5) << "]]\n";
+
+      std::cout << "[[halley_iterate]["
+         << cbrt_2deriv(to_root, answer / 6)
+         << "][" << cbrt_2deriv(to_root, answer / 2)
+         << "][" << cbrt_2deriv(to_root, answer - answer * 0.5)
+         << "][" << cbrt_2deriv(to_root, answer - answer * 0.2)
+         << "][" << cbrt_2deriv(to_root, answer - answer * 0.1)
+         << "][" << cbrt_2deriv(to_root, answer - answer * 0.05)
+         << "][" << cbrt_2deriv(to_root, answer + answer * 0.05)
+         << "][" << cbrt_2deriv(to_root, answer + answer * 0.1)
+         << "][" << cbrt_2deriv(to_root, answer + answer * 0.2)
+         << "][" << cbrt_2deriv(to_root, answer + answer * 0.5)
+         << "][" << cbrt_2deriv(to_root, answer + answer)
+         << "][" << cbrt_2deriv(to_root, answer + answer * 5) << "]]\n";
+
+      std::cout << "[[schr'''&#xf6;'''der_iterate]["
+         << cbrt_2deriv_s(to_root, answer / 6)
+         << "][" << cbrt_2deriv_s(to_root, answer / 2)
+         << "][" << cbrt_2deriv_s(to_root, answer - answer * 0.5)
+         << "][" << cbrt_2deriv_s(to_root, answer - answer * 0.2)
+         << "][" << cbrt_2deriv_s(to_root, answer - answer * 0.1)
+         << "][" << cbrt_2deriv_s(to_root, answer - answer * 0.05)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer * 0.05)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer * 0.1)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer * 0.2)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer * 0.5)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer)
+         << "][" << cbrt_2deriv_s(to_root, answer + answer * 5) << "]]\n]\n\n";
+
+
+      double radius_a = 10;
+      double arc_length = 500;
+      double radius_b = 123.6216507967705;
+
+      std::cout << std::setprecision(4) << "[table\n"
+         << "[[Initial Guess=][-500% ([approx]" << radius_b / 6 << ")][-100% ([approx]" << radius_b / 2 << ")][-50% ([approx]"
+         << radius_b - radius_b * 0.5 << ")][-20% ([approx]" << radius_b - radius_b * 0.2 << ")][-10% ([approx]" << radius_b - radius_b * 0.1 << ")][-5% ([approx]" << radius_b - radius_b * 0.05 << ")]"
+         "[5% ([approx]" << radius_b + radius_b * 0.05 << ")][10% ([approx]" << radius_b + radius_b * 0.1 << ")][20% ([approx]" << radius_b + radius_b * 0.2 << ")][50% ([approx]" << radius_b + radius_b * 0.5 
+         << ")][100% ([approx]" << radius_b + radius_b << ")][500 ([approx]" << radius_b + radius_b * 5 << ")]]\n";
+      std::cout << "[[bracket_and_solve_root]["
+         << elliptic_root_noderiv(radius_a, arc_length, radius_b / 6)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b / 2)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b - radius_b * 0.5)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b - radius_b * 0.2)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b - radius_b * 0.1)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b - radius_b * 0.05)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b * 0.05)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b * 0.1)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b * 0.2)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b * 0.5)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b)
+         << "][" << elliptic_root_noderiv(radius_a, arc_length, radius_b + radius_b * 5) << "]]\n";
+
+      std::cout << "[[newton_iterate]["
+         << elliptic_root_1deriv(radius_a, arc_length, radius_b / 6)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b / 2)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b - radius_b * 0.5)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b - radius_b * 0.2)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b - radius_b * 0.1)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b - radius_b * 0.05)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b * 0.05)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b * 0.1)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b * 0.2)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b * 0.5)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b)
+         << "][" << elliptic_root_1deriv(radius_a, arc_length, radius_b + radius_b * 5) << "]]\n";
+
+      std::cout << "[[halley_iterate]["
+         << elliptic_root_2deriv(radius_a, arc_length, radius_b / 6)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b / 2)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b - radius_b * 0.5)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b - radius_b * 0.2)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b - radius_b * 0.1)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b - radius_b * 0.05)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b * 0.05)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b * 0.1)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b * 0.2)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b * 0.5)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b)
+         << "][" << elliptic_root_2deriv(radius_a, arc_length, radius_b + radius_b * 5) << "]]\n";
+
+      std::cout << "[[schr'''&#xf6;'''der_iterate]["
+         << elliptic_root_2deriv_s(radius_a, arc_length, radius_b / 6)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b / 2)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b - radius_b * 0.5)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b - radius_b * 0.2)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b - radius_b * 0.1)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b - radius_b * 0.05)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b * 0.05)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b * 0.1)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b * 0.2)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b * 0.5)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b)
+         << "][" << elliptic_root_2deriv_s(radius_a, arc_length, radius_b + radius_b * 5) << "]]\n]\n\n";
+
+      return boost::exit_success;
+   }
+   catch(std::exception ex)
+   {
+      std::cout << "exception thrown: " << ex.what() << std::endl;
+      return boost::exit_failure;
+   }
+} // int main()
+
diff --git a/src/boost/libs/math/example/root_n_finding_algorithms.cpp b/src/boost/libs/math/example/root_n_finding_algorithms.cpp
new file mode 100644
index 00000000..032722e7
--- /dev/null
+++ b/src/boost/libs/math/example/root_n_finding_algorithms.cpp
@@ -0,0 +1,870 @@
+// Copyright Paul A. Bristow 2015
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Comparison of finding roots using TOMS748, Newton-Raphson, Halley & Schroder algorithms.
+// root_n_finding_algorithms.cpp  Generalised for nth root version.
+
+// http://en.wikipedia.org/wiki/Cube_root
+
+// Note that this file contains Quickbook mark-up as well as code
+// and comments, don't change any of the special comment mark-ups!
+// This program also writes files in Quickbook tables mark-up format.
+
+#include <boost/cstdlib.hpp>
+#include <boost/config.hpp>
+#include <boost/array.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/roots.hpp>
+
+//using boost::math::policies::policy;
+//using boost::math::tools::eps_tolerance; // Binary functor for specified number of bits.
+//using boost::math::tools::bracket_and_solve_root;
+//using boost::math::tools::toms748_solve;
+//using boost::math::tools::halley_iterate; 
+//using boost::math::tools::newton_raphson_iterate;
+//using boost::math::tools::schroder_iterate;
+
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+#include <boost/math/special_functions/pow.hpp> // For pow<N>.
+#include <boost/math/tools/tuple.hpp> // for tuple and make_tuple.
+
+#include <boost/multiprecision/cpp_bin_float.hpp> // is binary.
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_bin_float_50;
+
+#include <boost/timer/timer.hpp>
+#include <boost/system/error_code.hpp>
+#include <boost/preprocessor/stringize.hpp>
+
+// STL
+#include <iostream>
+#include <iomanip>
+#include <string>
+#include <vector>
+#include <limits>
+#include <fstream> // std::ofstream
+#include <cmath>
+#include <typeinfo> // for type name using typid(thingy).name();
+
+#ifdef __FILE__
+  std::string sourcefilename = __FILE__;
+#else
+  std::string sourcefilename("");
+#endif
+
+  std::string chop_last(std::string s)
+  {
+     std::string::size_type pos = s.find_last_of("\\/");
+     if(pos != std::string::npos)
+        s.erase(pos);
+     else if(s.empty())
+        abort();
+     else
+        s.erase();
+     return s;
+  }
+
+  std::string make_root()
+  {
+     std::string result;
+     if(sourcefilename.find_first_of(":") != std::string::npos)
+     {
+        result = chop_last(sourcefilename); // lose filename part
+        result = chop_last(result);   // lose /example/
+        result = chop_last(result);   // lose /math/
+        result = chop_last(result);   // lose /libs/
+     }
+     else
+     {
+        result = chop_last(sourcefilename); // lose filename part
+        if(result.empty())
+           result = ".";
+        result += "/../../..";
+     }
+     return result;
+  }
+
+  std::string short_file_name(std::string s)
+  {
+     std::string::size_type pos = s.find_last_of("\\/");
+     if(pos != std::string::npos)
+        s.erase(0, pos + 1);
+     return s;
+  }
+
+  std::string boost_root = make_root();
+
+
+std::string fp_hardware; // Any hardware features like SEE or AVX
+
+const std::string roots_name = "libs/math/doc/roots/";
+
+const std::string full_roots_name(boost_root + "/libs/math/doc/roots/");
+
+const std::size_t nooftypes = 4;
+const std::size_t noofalgos = 4;
+
+double digits_accuracy = 1.0; // 1 == maximum possible accuracy.
+
+std::stringstream ss;
+
+std::ofstream fout;
+
+std::vector<std::string> algo_names =
+{
+  "TOMS748", "Newton", "Halley", "Schr'''&#xf6;'''der"
+};
+
+std::vector<std::string> names =
+{
+  "float", "double", "long double", "cpp_bin_float50"
+};
+
+uintmax_t iters; // Global as value of iterations is not returned.
+
+struct root_info
+{ // for a floating-point type, float, double ...
+  std::size_t max_digits10; // for type.
+  std::string full_typename; // for type from type_id.name().
+  std::string short_typename; // for type "float", "double", "cpp_bin_float_50" ....
+  std::size_t bin_digits;  // binary in floating-point type numeric_limits<T>::digits;  
+  int get_digits; // fraction of maximum possible accuracy required.
+  // = digits * digits_accuracy
+  // Vector of values (4) for each algorithm, TOMS748, Newton, Halley & Schroder.
+  //std::vector< boost::int_least64_t> times;  converted to int.
+  std::vector<int> times; // arbirary units (ticks).
+  //boost::int_least64_t min_time = std::numeric_limits<boost::int_least64_t>::max(); // Used to normalize times (as int).
+  std::vector<double> normed_times;
+  int min_time = (std::numeric_limits<int>::max)(); // Used to normalize times.
+  std::vector<uintmax_t> iterations;
+  std::vector<long int> distances;
+  std::vector<cpp_bin_float_100> full_results;
+}; // struct root_info
+
+std::vector<root_info> root_infos;  // One element for each floating-point type used.
+
+inline std::string build_test_name(const char* type_name, const char* test_name)
+{
+  std::string result(BOOST_COMPILER);
+  result += "|";
+  result += BOOST_STDLIB;
+  result += "|";
+  result += BOOST_PLATFORM;
+  result += "|";
+  result += type_name;
+  result += "|";
+  result += test_name;
+#if defined(_DEBUG) || !defined(NDEBUG)
+  result += "|";
+  result += " debug";
+#else
+  result += "|";
+  result += " release";
+#endif
+  result += "|";
+  return result;
+} // std::string build_test_name
+
+// Algorithms //////////////////////////////////////////////
+
+// No derivatives - using TOMS748 internally.
+
+template <int N, typename T = double>
+struct nth_root_functor_noderiv
+{ //  Nth root of x using only function - no derivatives.
+  nth_root_functor_noderiv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor just stores value a to find root of.
+  }
+  T operator()(T const& x)
+  {
+    using boost::math::pow;
+    T fx = pow<N>(x) -a; // Difference (estimate x^n - a).
+    return fx;
+  }
+private:
+  T a; // to be 'cube_rooted'.
+}; // template <int N, class T> struct nth_root_functor_noderiv
+
+template <int N, class T = double>
+T nth_root_noderiv(T x)
+{ // return Nth root of x using bracket_and_solve (using NO derivatives).
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For bracket_and_solve_root.
+
+  typedef double guess_type;
+
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent); // Get exponent of z (ignore mantissa).
+  T guess = static_cast<T>(ldexp(static_cast<guess_type>(1.), exponent / N)); // Rough guess is to divide the exponent by n.
+  //T min = static_cast<T>(ldexp(static_cast<guess_type>(1.) / 2, exponent / N)); // Minimum possible value is half our guess.
+  //T max = static_cast<T>(ldexp(static_cast<guess_type>(2.), exponent / N)); // Maximum possible value is twice our guess.
+
+  T factor = 2; // How big steps to take when searching.
+
+  const boost::uintmax_t maxit = 50; // Limit to maximum iterations.
+  boost::uintmax_t it = maxit; // Initally our chosen max iterations, but updated with actual.
+  bool is_rising = true; // So if result if guess^3 is too low, then try increasing guess.
+  // Some fraction of digits is used to control how accurate to try to make the result.
+  int get_digits = std::numeric_limits<T>::digits - 2;
+  eps_tolerance<T> tol(get_digits); // Set the tolerance.
+  std::pair<T, T> r;
+  r =  bracket_and_solve_root(nth_root_functor_noderiv<N, T>(x), guess, factor, is_rising, tol, it);
+  iters = it;
+  T result = r.first + (r.second - r.first) / 2;  // Midway between brackets.
+  return result;
+} // template <class T> T nth_root_noderiv(T x)
+
+// Using 1st derivative only Newton-Raphson
+
+template <int N, class T = double>
+struct nth_root_functor_1deriv
+{ // Functor also returning 1st derviative.
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+
+  nth_root_functor_1deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of, for example:
+  }
+  std::pair<T, T> operator()(T const& x)
+  { // Return both f(x) and f'(x).
+    using boost::math::pow; // // Compile-time integral power.
+    T p = pow<N - 1>(x);
+    return std::make_pair(p * x - a, N * p); // 'return' both fx and dx.
+  }
+
+private:
+  T a; // to be 'nth_rooted'.
+}; // struct nthroot__functor_1deriv
+
+template <int N, class T = double>
+T nth_root_1deriv(T x)
+{ // return nth root of x using 1st derivative and Newton_Raphson.
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For newton_raphson_iterate.
+
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+  BOOST_STATIC_ASSERT_MSG((N > 1000) == false, "root N is too big!");
+
+  typedef double guess_type;
+
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent); // Get exponent of z (ignore mantissa).
+  T guess = static_cast<T>(ldexp(static_cast<guess_type>(1.), exponent / N)); // Rough guess is to divide the exponent by n.
+  T min = static_cast<T>(ldexp(static_cast<guess_type>(1.) / 2, exponent / N)); // Minimum possible value is half our guess.
+  T max = static_cast<T>(ldexp(static_cast<guess_type>(2.), exponent / N)); // Maximum possible value is twice our guess.
+
+  int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+  int get_digits = static_cast<int>(digits * 0.6);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = newton_raphson_iterate(nth_root_functor_1deriv<N, T>(x), guess, min, max, get_digits, it);
+  iters = it;
+  return result;
+} // T nth_root_1_deriv  Newton-Raphson
+
+// Using 1st and 2nd derivatives with Halley algorithm.
+
+template <int N, class T = double>
+struct nth_root_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+
+  nth_root_functor_2deriv(T const& to_find_root_of) : a(to_find_root_of)
+  { // Constructor stores value a to find root of, for example:
+  }
+
+  // using boost::math::tuple; // to return three values.
+  std::tuple<T, T, T> operator()(T const& x)
+  { // Return f(x), f'(x) and f''(x).
+    using boost::math::pow; // Compile-time integral power.
+    T p = pow<N - 2>(x);
+
+    return std::make_tuple(p * x * x - a, p * x * N, p * N * (N - 1)); // 'return' fx, dx and d2x.
+  }
+private:
+  T a; // to be 'nth_rooted'.
+};
+
+template <int N, class T = double>
+T nth_root_2deriv(T x)
+{ // return nth root of x using 1st and 2nd derivatives and Halley.
+
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For halley_iterate.
+
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+  BOOST_STATIC_ASSERT_MSG((N > 1000) == false, "root N is too big!");
+
+  typedef double guess_type;
+
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent); // Get exponent of z (ignore mantissa).
+  T guess = static_cast<T>(ldexp(static_cast<guess_type>(1.), exponent / N)); // Rough guess is to divide the exponent by n.
+  T min = static_cast<T>(ldexp(static_cast<guess_type>(1.) / 2, exponent / N)); // Minimum possible value is half our guess.
+  T max = static_cast<T>(ldexp(static_cast<guess_type>(2.), exponent / N)); // Maximum possible value is twice our guess.
+
+  int digits = std::numeric_limits<T>::digits; // Maximum possible binary digits accuracy for type T.
+  int get_digits = static_cast<int>(digits * 0.4);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = halley_iterate(nth_root_functor_2deriv<N, T>(x), guess, min, max, get_digits, it);
+  iters = it;
+
+  return result;
+} // nth_2deriv Halley
+
+template <int N, class T = double>
+T nth_root_2deriv_s(T x)
+{ // return nth root of x using 1st and 2nd derivatives and Schroder.
+
+  using namespace std;  // Help ADL of std functions.
+  using namespace boost::math::tools; // For schroder_iterate.
+
+  BOOST_STATIC_ASSERT_MSG(boost::is_integral<T>::value == false, "Only floating-point type types can be used!");
+  BOOST_STATIC_ASSERT_MSG((N > 0) == true, "root N must be > 0!");
+  BOOST_STATIC_ASSERT_MSG((N > 1000) == false, "root N is too big!");
+
+  typedef double guess_type;
+
+  int exponent;
+  frexp(static_cast<guess_type>(x), &exponent); // Get exponent of z (ignore mantissa).
+  T guess = static_cast<T>(ldexp(static_cast<guess_type>(1.), exponent / N)); // Rough guess is to divide the exponent by n.
+  T min = static_cast<T>(ldexp(static_cast<guess_type>(1.) / 2, exponent / N)); // Minimum possible value is half our guess.
+  T max = static_cast<T>(ldexp(static_cast<guess_type>(2.), exponent / N)); // Maximum possible value is twice our guess.
+
+  int get_digits = static_cast<int>(std::numeric_limits<T>::digits * 0.4);
+  const boost::uintmax_t maxit = 20;
+  boost::uintmax_t it = maxit;
+  T result = schroder_iterate(nth_root_functor_2deriv<N, T>(x), guess, min, max, get_digits, it);
+  iters = it;
+
+  return result;
+} // T nth_root_2deriv_s Schroder
+
+//////////////////////////////////////////////////////// end of algorithms - perhaps in a separate .hpp?
+
+//! Print 4 floating-point types info: max_digits10, digits and required accuracy digits as a Quickbook table.
+int table_type_info(double digits_accuracy)
+{
+  std::string qbk_name = full_roots_name; // Prefix by boost_root file.
+
+  qbk_name += "type_info_table";
+  std::stringstream ss;
+  ss.precision(3);
+  ss << "_" << digits_accuracy * 100;
+  qbk_name += ss.str();
+
+#ifdef _MSC_VER
+  qbk_name += "_msvc.qbk";
+#else // assume GCC
+  qbk_name += "_gcc.qbk";
+#endif
+
+  // Example: type_info_table_100_msvc.qbk
+  fout.open(qbk_name, std::ios_base::out);
+
+  if (fout.is_open())
+  {
+    std::cout << "Output type table to " << qbk_name << std::endl;
+  }
+  else
+  { // Failed to open.
+    std::cout << " Open file " << qbk_name << " for output failed!" << std::endl;
+    std::cout << "errno " << errno << std::endl;
+    return errno;
+  }
+
+  fout <<
+    "[/"
+    << qbk_name
+    << "\n"
+    "Copyright 2015 Paul A. Bristow.""\n"
+    "Copyright 2015 John Maddock.""\n"
+    "Distributed under the Boost Software License, Version 1.0.""\n"
+    "(See accompanying file LICENSE_1_0.txt or copy at""\n"
+    "http://www.boost.org/LICENSE_1_0.txt).""\n"
+    "]""\n"
+    << std::endl;
+
+  fout << "[h6 Fraction of maximum possible bits of accuracy required is " << digits_accuracy << ".]\n" << std::endl;
+
+  std::string table_id("type_info");
+  table_id += ss.str(); // Fraction digits accuracy.
+
+#ifdef _MSC_VER
+  table_id += "_msvc";
+#else // assume GCC
+  table_id += "_gcc";
+#endif
+
+  fout << "[table:" << table_id << " Digits for float, double, long double and cpp_bin_float_50\n"
+    << "[[type name] [max_digits10] [binary digits] [required digits]]\n";// header.
+
+  // For all fout types:
+
+  fout  << "[[" << "float" << "]"
+    << "[" << std::numeric_limits<float>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<float>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<float>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "float" << "]"
+    << "[" << std::numeric_limits<double>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<double>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<double>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "long double" << "]"
+    << "[" << std::numeric_limits<long double>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<long double>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<long double>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "[[" << "cpp_bin_float_50" << "]"
+    << "[" << std::numeric_limits<cpp_bin_float_50>::max_digits10 << "]"  // max_digits10
+    << "[" << std::numeric_limits<cpp_bin_float_50>::digits << "]"// < "Binary digits 
+    << "[" << static_cast<int>(std::numeric_limits<cpp_bin_float_50>::digits * digits_accuracy) << "]]\n"; // Accuracy digits.
+
+  fout << "] [/table table_id_msvc] \n" << std::endl; // End of table.
+
+  fout.close();
+  return 0;
+} // type_table
+
+//! Evaluate root N timing for each algorithm, and for one floating-point type T. 
+template <int N, typename T>
+int test_root(cpp_bin_float_100 big_value, cpp_bin_float_100 answer, const char* type_name, std::size_t type_no)
+{
+  std::size_t max_digits = 2 + std::numeric_limits<T>::digits * 3010 / 10000;
+  // For new versions use max_digits10
+  // std::cout.precision(std::numeric_limits<T>::max_digits10);
+  std::cout.precision(max_digits);
+  std::cout << std::showpoint << std::endl; // Show trailing zeros too.
+
+  root_infos.push_back(root_info()); 
+
+  root_infos[type_no].max_digits10 = max_digits;
+  root_infos[type_no].full_typename = typeid(T).name(); // Full typename.
+  root_infos[type_no].short_typename = type_name; // Short typename.
+  root_infos[type_no].bin_digits = std::numeric_limits<T>::digits;
+  root_infos[type_no].get_digits = static_cast<int>(std::numeric_limits<T>::digits * digits_accuracy);
+
+  T to_root = static_cast<T>(big_value);
+
+  T result; // root
+  T sum = 0;
+  T ans = static_cast<T>(answer);
+
+  using boost::timer::nanosecond_type;
+  using boost::timer::cpu_times;
+  using boost::timer::cpu_timer;
+
+  int eval_count = boost::is_floating_point<T>::value ? 10000000 : 100000; // To give a sufficiently stable timing for the fast built-in types,
+  //int eval_count = 1000000; // To give a sufficiently stable timing for the fast built-in types,
+  // This takes an inconveniently long time for multiprecision cpp_bin_float_50 etc  types.
+
+  cpu_times now; // Holds wall, user and system times.
+
+  { // Evaluate times etc for each algorithm.
+    //algorithm_names.push_back("TOMS748"); // 
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < eval_count; ++i)
+    {
+      result = nth_root_noderiv<N, T>(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    // algorithm_names.push_back("Newton"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < eval_count; ++i)
+    {
+      result = nth_root_1deriv<N, T>(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); //
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    //algorithm_names.push_back("Halley"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < eval_count; ++i)
+    {
+      result = nth_root_2deriv<N>(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    ti.stop();
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  {
+    // algorithm_names.push_back("Schroder"); // algorithm
+    cpu_timer ti; // Can start, pause, resume and stop, and read elapsed.
+    ti.start();
+    for (long i = 0; i < eval_count; ++i)
+    {
+      result = nth_root_2deriv_s<N>(to_root); // 
+      sum += result;
+    }
+    now = ti.elapsed();
+    int time = static_cast<int>(now.user / eval_count);
+    root_infos[type_no].times.push_back(time); // CPU time taken.
+    if (time < root_infos[type_no].min_time)
+    {
+      root_infos[type_no].min_time = time;
+    }
+    ti.stop();
+    long int distance = static_cast<int>(boost::math::float_distance<T>(result, ans));
+    root_infos[type_no].distances.push_back(distance);
+    root_infos[type_no].iterations.push_back(iters); // 
+    root_infos[type_no].full_results.push_back(result);
+  }
+  for (size_t i = 0; i != root_infos[type_no].times.size(); i++) // For each time.
+  { // Normalize times.
+    root_infos[type_no].normed_times.push_back(static_cast<double>(root_infos[type_no].times[i]) / root_infos[type_no].min_time);
+  }
+
+  std::cout << "Accumulated result was: " << sum << std::endl;
+
+  return 4;  // eval_count of how many algorithms used.
+} // test_root
+
+/*! Fill array of times, interations, etc for Nth root for all 4 types,
+ and write a table of results in Quickbook format.
+ */
+template <int N>
+void table_root_info(cpp_bin_float_100 full_value)
+{
+   using std::abs;
+  std::cout << nooftypes << " floating-point types tested:" << std::endl;
+#if defined(_DEBUG) || !defined(NDEBUG)
+  std::cout << "Compiled in debug mode." << std::endl;
+#else
+  std::cout << "Compiled in optimise mode." << std::endl;
+#endif
+  std::cout << "FP hardware " << fp_hardware << std::endl;
+  // Compute the 'right' answer for root N at 100 decimal digits.
+  cpp_bin_float_100 full_answer = nth_root_noderiv<N, cpp_bin_float_100>(full_value);
+
+  root_infos.clear(); // Erase any previous data.
+  // Fill the elements of the array for each floating-point type.
+
+  test_root<N, float>(full_value, full_answer, "float", 0);
+  test_root<N, double>(full_value, full_answer, "double", 1);
+  test_root<N, long double>(full_value, full_answer, "long double", 2);
+  test_root<N, cpp_bin_float_50>(full_value, full_answer, "cpp_bin_float_50", 3);
+
+  // Use info from 4 floating point types to
+
+  // Prepare Quickbook table for a single root
+  // with columns of times, iterations, distances repeated for various floating-point types,
+  // and 4 rows for each algorithm.
+
+  std::stringstream table_info;
+  table_info.precision(3);
+  table_info << "[table:root_" << N << " " << N << "th root(" << static_cast<float>(full_value) << ") for float, double, long double and cpp_bin_float_50 types";
+  if (fp_hardware != "")
+  {
+    table_info << ", using " << fp_hardware;
+  }
+  table_info << std::endl;
+
+  fout << table_info.str()
+    << "[[][float][][][] [][double][][][] [][long d][][][] [][cpp50][][]]\n"
+    << "[[Algo     ]";
+  for (size_t tp = 0; tp != nooftypes; tp++)
+  { // For all types:
+    fout << "[Its]" << "[Times]" << "[Norm]" << "[Dis]" << "[ ]";
+  }
+  fout << "]" << std::endl;
+
+  // Row for all algorithms.
+  for (std::size_t algo = 0; algo != noofalgos; algo++)
+  {
+    fout << "[[" << std::left << std::setw(9) << algo_names[algo] << "]";
+    for (size_t tp = 0; tp != nooftypes; tp++)
+    { // For all types:
+      fout
+        << "[" << std::right << std::showpoint
+        << std::setw(3) << std::setprecision(2) << root_infos[tp].iterations[algo] << "]["
+        << std::setw(5) << std::setprecision(5) << root_infos[tp].times[algo] << "][";
+      fout << std::setw(3) << std::setprecision(3);
+        double normed_time = root_infos[tp].normed_times[algo];
+        if (abs(normed_time - 1.00) <= 0.05)
+        { // At or near the best time, so show as blue.
+          fout << "[role blue " << normed_time << "]";
+        }
+        else if (abs(normed_time) > 4.)
+        { // markedly poor so show as red.
+          fout << "[role red " << normed_time << "]";
+        }
+        else
+        { // Not the best, so normal black.
+          fout << normed_time;
+        }
+        fout << "]["
+        << std::setw(3) << std::setprecision(2) << root_infos[tp].distances[algo] << "][ ]";
+    } // tp
+    fout << "]" << std::endl;
+  } // for algo
+  fout << "] [/end of table root]\n";
+} // void table_root_info
+
+/*! Output program header, table of type info, and tables for 4 algorithms and 4 floating-point types,
+ for Nth root required digits_accuracy.
+ */
+
+int roots_tables(cpp_bin_float_100 full_value, double digits_accuracy)
+{
+  ::digits_accuracy = digits_accuracy;
+  // Save globally so that it is available to root-finding algorithms. Ugly :-(
+
+#if defined(_DEBUG) || !defined(NDEBUG)
+  std::string debug_or_optimize("Compiled in debug mode.");
+#else
+     std::string debug_or_optimize("Compiled in optimise mode.");
+#endif
+
+  // Create filename for roots_table
+  std::string qbk_name = full_roots_name;
+  qbk_name += "roots_table";
+
+  std::stringstream ss;
+  ss.precision(3);
+  // ss << "_" << N // now put all the tables in one .qbk file?
+    ss << "_" << digits_accuracy * 100
+    << std::flush;
+  // Assume only save optimize mode runs, so don't add any  _DEBUG info.
+  qbk_name += ss.str();
+
+#ifdef _MSC_VER
+  qbk_name += "_msvc";
+#else // assume GCC
+  qbk_name += "_gcc";
+#endif 
+  if (fp_hardware != "")
+  {
+    qbk_name += fp_hardware;
+  }
+  qbk_name += ".qbk";
+
+  fout.open(qbk_name, std::ios_base::out);
+
+  if (fout.is_open())
+  {
+    std::cout << "Output root table to " << qbk_name << std::endl;
+  }
+  else
+  { // Failed to open.
+    std::cout << " Open file " << qbk_name << " for output failed!" << std::endl;
+    std::cout << "errno " << errno << std::endl;
+    return errno;
+  }
+
+  fout <<
+    "[/"
+    << qbk_name
+    << "\n"
+    "Copyright 2015 Paul A. Bristow.""\n"
+    "Copyright 2015 John Maddock.""\n"
+    "Distributed under the Boost Software License, Version 1.0.""\n"
+    "(See accompanying file LICENSE_1_0.txt or copy at""\n"
+    "http://www.boost.org/LICENSE_1_0.txt).""\n"
+    "]""\n"
+    << std::endl;
+
+  // Print out the program/compiler/stdlib/platform names as a Quickbook comment:
+  fout << "\n[h6 Program " << sourcefilename << ",\n "
+    << BOOST_COMPILER << ", "
+    << BOOST_STDLIB << ", "
+    << BOOST_PLATFORM << "\n"
+    << debug_or_optimize 
+    << ((fp_hardware != "") ? ", " + fp_hardware : "")
+    << "]" // [h6 close].
+    << std::endl;
+
+  fout << "Fraction of full accuracy " << digits_accuracy << std::endl;
+
+  table_root_info<5>(full_value);
+  table_root_info<7>(full_value);
+  table_root_info<11>(full_value);
+
+  fout.close();
+
+  //   table_type_info(digits_accuracy);
+
+  return 0;
+} // roots_tables
+
+
+int main()
+{
+  using namespace boost::multiprecision;
+  using namespace boost::math;
+
+
+  try
+  {
+    std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << ", ";
+
+// How to: Configure Visual C++ Projects to Target 64-Bit Platforms
+// https://msdn.microsoft.com/en-us/library/9yb4317s.aspx
+
+#ifdef _M_X64 // Defined for compilations that target x64 processors.
+    std::cout << "X64 " << std::endl;
+    fp_hardware += "_X64";
+#else
+#  ifdef _M_IX86
+     std::cout << "X32 " << std::endl;
+     fp_hardware += "_X86";
+#  endif
+#endif
+
+#ifdef _M_AMD64
+    std::cout << "AMD64 " << std::endl;
+ //   fp_hardware += "_AMD64";
+#endif
+
+// https://msdn.microsoft.com/en-us/library/7t5yh4fd.aspx  
+// /arch (x86) options /arch:[IA32|SSE|SSE2|AVX|AVX2]
+// default is to use SSE and SSE2 instructions by default.
+// https://msdn.microsoft.com/en-us/library/jj620901.aspx
+// /arch (x64) options /arch:AVX and /arch:AVX2
+
+// MSVC doesn't bother to set these SSE macros!
+// http://stackoverflow.com/questions/18563978/sse-sse2-is-enabled-control-in-visual-studio
+// https://msdn.microsoft.com/en-us/library/b0084kay.aspx  predefined macros.
+
+// But some of these macros are *not* defined by MSVC, 
+// unlike AVX (but *are* defined by GCC and Clang). 
+// So the macro code above does define them.
+#if (defined(_M_AMD64) || defined (_M_X64))
+#ifndef _M_X64
+#  define _M_X64
+#endif
+#ifndef __SSE2__
+#  define __SSE2__
+#endif
+#else
+#  ifdef _M_IX86_FP // Expands to an integer literal value indicating which /arch compiler option was used:
+    std::cout << "Floating-point _M_IX86_FP = " << _M_IX86_FP << std::endl;
+#  if (_M_IX86_FP == 2) // 2 if /arch:SSE2, /arch:AVX or /arch:AVX2 
+#    define __SSE2__ // x32
+#  elif (_M_IX86_FP == 1) // 1 if /arch:SSE was used.
+#    define __SSE__ // x32
+#  elif (_M_IX86_FP == 0) // 0 if /arch:IA32 was used.
+#    define _X32 // No special FP instructions.
+#  endif
+# endif
+#endif
+// Set the fp_hardware that is used in the .qbk filename.
+#ifdef __AVX2__
+    std::cout << "Floating-point AVX2 " << std::endl;
+    fp_hardware += "_AVX2";
+#  else 
+#    ifdef __AVX__
+    std::cout << "Floating-point AVX " << std::endl;
+    fp_hardware += "_AVX";
+#    else
+#      ifdef __SSE2__
+    std::cout << "Floating-point SSE2 " << std::endl;
+    fp_hardware += "_SSE2";
+#      else
+#        ifdef __SSE__
+    std::cout << "Floating-point SSE " << std::endl;
+    fp_hardware += "_SSE";
+#        endif
+#      endif
+#   endif
+# endif
+
+#ifdef _M_IX86
+    std::cout << "Floating-point X86 _M_IX86 = " << _M_IX86 << std::endl;
+    // https://msdn.microsoft.com/en-us/library/aa273918%28v=vs.60%29.aspx#_predir_table_1..3
+    // 600 = Pentium Pro
+#endif
+
+#ifdef _MSC_FULL_VER
+    std::cout << "Floating-point _MSC_FULL_VER " << _MSC_FULL_VER << std::endl;
+#endif
+
+#ifdef __MSVC_RUNTIME_CHECKS
+    std::cout << "Runtime __MSVC_RUNTIME_CHECKS " << std::endl;
+#endif
+
+    BOOST_MATH_CONTROL_FP;
+
+    cpp_bin_float_100 full_value("28.");
+    // Compute full answer to more than precision of tests.
+    //T value = 28.; // integer (exactly representable as floating-point)
+    // whose cube root is *not* exactly representable.
+    // Wolfram Alpha command N[28 ^ (1 / 3), 100] computes cube root to 100 decimal digits.
+    // 3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895
+
+    std::cout.precision(100);
+    std::cout << "value " << full_value << std::endl;
+   // std::cout << ",\n""answer = " << full_answer << std::endl;
+    std::cout.precision(6);
+   // cbrt cpp_bin_float_100 full_answer("3.036588971875662519420809578505669635581453977248111123242141654169177268411884961770250390838097895");
+
+    // Output the table of types, maxdigits10 and digits and required digits for some accuracies.
+
+    // Output tables for some roots at full accuracy.
+    roots_tables(full_value, 1.);
+
+    // Output tables for some roots at less accuracy.
+    //roots_tables(full_value, 0.75);
+
+    return boost::exit_success;
+  }
+  catch (std::exception const& ex)
+  {
+    std::cout << "exception thrown: " << ex.what() << std::endl;
+    return boost::exit_failure;
+  }
+} // int main()
+
+/*
+
+*/
diff --git a/src/boost/libs/math/example/series.cpp b/src/boost/libs/math/example/series.cpp
new file mode 100644
index 00000000..8bfce824
--- /dev/null
+++ b/src/boost/libs/math/example/series.cpp
@@ -0,0 +1,107 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/series.hpp>
+#include <boost/assert.hpp>
+
+#include <iostream>
+#include <complex>
+#include <cassert>
+
+//[series_log1p
+template <class T>
+struct log1p_series
+{
+   // we must define a result_type typedef:
+   typedef T result_type;
+
+   log1p_series(T x)
+      : k(0), m_mult(-x), m_prod(-1) {}
+
+   T operator()()
+   {
+      // This is the function operator invoked by the summation
+      // algorithm, the first call to this operator should return
+      // the first term of the series, the second call the second
+      // term and so on.
+      m_prod *= m_mult;
+      return m_prod / ++k;
+   }
+
+private:
+   int k;
+   const T m_mult;
+   T m_prod;
+};
+//]
+
+//[series_log1p_func
+template <class T>
+T log1p(T x)
+{
+   // We really should add some error checking on x here!
+   BOOST_ASSERT(std::fabs(x) < 1);
+
+   // Construct the series functor:
+   log1p_series<T> s(x);
+   // Set a limit on how many iterations we permit:
+   boost::uintmax_t max_iter = 1000;
+   // Add it up, with enough precision for full machine precision:
+   return boost::math::tools::sum_series(s, std::numeric_limits<T>::epsilon(), max_iter);
+}
+//]
+
+//[series_clog1p_func
+template <class T>
+struct log1p_series<std::complex<T> >
+{
+   // we must define a result_type typedef:
+   typedef std::complex<T> result_type;
+
+   log1p_series(std::complex<T> x)
+      : k(0), m_mult(-x), m_prod(-1) {}
+
+   std::complex<T> operator()()
+   {
+      // This is the function operator invoked by the summation
+      // algorithm, the first call to this operator should return
+      // the first term of the series, the second call the second
+      // term and so on.
+      m_prod *= m_mult;
+      return m_prod / T(++k);
+   }
+
+private:
+   int k;
+   const std::complex<T> m_mult;
+   std::complex<T> m_prod;
+};
+
+
+template <class T>
+std::complex<T> log1p(std::complex<T> x)
+{
+   // We really should add some error checking on x here!
+   BOOST_ASSERT(abs(x) < 1);
+
+   // Construct the series functor:
+   log1p_series<std::complex<T> > s(x);
+   // Set a limit on how many iterations we permit:
+   boost::uintmax_t max_iter = 1000;
+   // Add it up, with enough precision for full machine precision:
+   return boost::math::tools::sum_series(s, std::complex<T>(std::numeric_limits<T>::epsilon()), max_iter);
+}
+//]
+
+int main()
+{
+   using namespace boost::math::tools;
+
+   std::cout << log1p(0.25) << std::endl;
+
+   std::cout << log1p(std::complex<double>(0.25, 0.25)) << std::endl;
+
+   return 0;
+}
diff --git a/src/boost/libs/math/example/sines.hpp b/src/boost/libs/math/example/sines.hpp
new file mode 100644
index 00000000..d4cbbbbf
--- /dev/null
+++ b/src/boost/libs/math/example/sines.hpp
@@ -0,0 +1,47 @@
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright A N Other, 2019.
+
+// Table of 32 values with 50 decimal digits precision,
+// generated by program fft_sines_table.cpp.
+
+#include <array> // std::array
+
+static const std::array<double, 32> sines =
+{{
+  1,
+  0.70710678118654752440084436210484903928483593768847,
+  0.38268343236508977172845998403039886676134456248563,
+  0.19509032201612826784828486847702224092769161775195,
+  0.098017140329560601994195563888641845861136673167501,
+  0.049067674327418014254954976942682658314745363025753,
+  0.024541228522912288031734529459282925065466119239452,
+  0.012271538285719926079408261951003212140372319591769,
+  0.0061358846491544753596402345903725809170578863173913,
+  0.003067956762965976270145365490919842518944610213452,
+  0.0015339801862847656123036971502640790799548645752374,
+  0.00076699031874270452693856835794857664314091945206328,
+  0.00038349518757139558907246168118138126339502603496474,
+  0.00019174759731070330743990956198900093346887403385916,
+  9.5873799095977345870517210976476351187065612851145e-05,
+  4.7936899603066884549003990494658872746866687685767e-05,
+  2.3968449808418218729186577165021820094761474895673e-05,
+  1.1984224905069706421521561596988984804731977538387e-05,
+  5.9921124526424278428797118088908617299871778780951e-06,
+  2.9960562263346607504548128083570598118251878683408e-06,
+  1.4980281131690112288542788461553611206917585861527e-06,
+  7.4901405658471572113049856673065563715595930217207e-07,
+  3.7450702829238412390316917908463317739740476297248e-07,
+  1.8725351414619534486882457659356361712045272098286e-07,
+  9.3626757073098082799067286680885620193236507169473e-08,
+  4.681337853654909269511551813854009695950362701667e-08,
+  2.3406689268274552759505493419034844037886207223779e-08,
+  1.1703344634137277181246213503238103798093456639976e-08,
+  5.8516723170686386908097901008341396943900085051756e-09,
+  2.9258361585343193579282304690689559020175857150074e-09,
+  1.4629180792671596805295321618659637103742615227834e-09,
+  7.3145903963357984046044319684941757518633453150407e-10
+}};  // array sines
diff --git a/src/boost/libs/math/example/skew_normal_example.cpp b/src/boost/libs/math/example/skew_normal_example.cpp
new file mode 100644
index 00000000..5858aff3
--- /dev/null
+++ b/src/boost/libs/math/example/skew_normal_example.cpp
@@ -0,0 +1,275 @@
+// Copyright Benjamin Sobotta 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512) // assignment operator could not be generated
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#endif
+
+#include <boost/math/distributions/skew_normal.hpp>
+using boost::math::skew_normal_distribution;
+using boost::math::skew_normal;
+#include <iostream>
+#include <cmath>
+#include <utility>
+
+void check(const double loc, const double sc, const double sh,
+     const double * const cumulants, const std::pair<double, double> qu,
+     const double x, const double tpdf, const double tcdf)
+{
+  using namespace boost::math;
+
+  skew_normal D(loc, sc, sh);
+  
+  const double sk = cumulants[2] / (std::pow(cumulants[1], 1.5));
+  const double kt = cumulants[3] / (cumulants[1] * cumulants[1]);
+
+  // checks against tabulated values
+  std::cout << "mean: table=" << cumulants[0] << "\tcompute=" << mean(D) << "\tdiff=" << fabs(cumulants[0]-mean(D)) << std::endl;
+  std::cout << "var: table=" << cumulants[1] << "\tcompute=" << variance(D) << "\tdiff=" << fabs(cumulants[1]-variance(D)) << std::endl;
+  std::cout << "skew: table=" << sk << "\tcompute=" << skewness(D) << "\tdiff=" << fabs(sk-skewness(D)) << std::endl;
+  std::cout << "kur.: table=" << kt << "\tcompute=" << kurtosis_excess(D) << "\tdiff=" << fabs(kt-kurtosis_excess(D)) << std::endl;
+  std::cout << "mode: table=" << "N/A" << "\tcompute=" << mode(D) << "\tdiff=" << "N/A" << std::endl;
+
+  const double q = quantile(D, qu.first);
+  const double cq = quantile(complement(D, qu.first));
+
+  std::cout << "quantile(" << qu.first << "): table=" << qu.second << "\tcompute=" << q << "\tdiff=" << fabs(qu.second-q) << std::endl;
+
+  // consistency
+  std::cout << "cdf(quantile)=" << cdf(D, q) << "\tp=" << qu.first << "\tdiff=" << fabs(qu.first-cdf(D, q)) << std::endl;
+  std::cout << "ccdf(cquantile)=" << cdf(complement(D,cq)) << "\tp=" << qu.first << "\tdiff=" << fabs(qu.first-cdf(complement(D,cq))) << std::endl;
+
+  // PDF & CDF
+  std::cout << "pdf(" << x << "): table=" << tpdf << "\tcompute=" << pdf(D,x) << "\tdiff=" << fabs(tpdf-pdf(D,x)) << std::endl;
+  std::cout << "cdf(" << x << "): table=" << tcdf << "\tcompute=" << cdf(D,x) << "\tdiff=" << fabs(tcdf-cdf(D,x)) << std::endl;
+  std::cout << "================================\n";
+}
+
+int main()
+{
+  using namespace boost::math;
+
+  double sc = 0.0,loc,sh,x,dsn,qsn,psn,p;
+  std::cout << std::setprecision(20);
+
+  double cumulants[4];
+
+
+  /* R:
+     > install.packages("sn")
+     Warning in install.packages("sn") :
+     'lib = "/usr/lib64/R/library"' is not writable
+     Would you like to create a personal library
+     '~/R/x86_64-unknown-linux-gnu-library/2.12'
+     to install packages into?  (y/n) y
+     --- Please select a CRAN mirror for use in this session ---
+     Loading Tcl/Tk interface ... done
+     also installing the dependency mnormt
+
+     trying URL 'http://mirrors.dotsrc.org/cran/src/contrib/mnormt_1.4-5.tar.gz'
+     Content type 'application/x-gzip' length 34049 bytes (33 Kb)
+     opened URL
+     ==================================================
+     downloaded 33 Kb
+
+     trying URL 'http://mirrors.dotsrc.org/cran/src/contrib/sn_0.4-17.tar.gz'
+     Content type 'application/x-gzip' length 65451 bytes (63 Kb)
+     opened URL
+     ==================================================
+     downloaded 63 Kb
+
+
+     > library(sn)
+     > options(digits=22)
+
+
+     > sn.cumulants(1.1, 2.2, -3.3)
+     [1] -0.5799089925398568  2.0179057767837230 -2.0347951542374196
+     [4]  2.2553488991015072
+     > qsn(0.3, 1.1, 2.2, -3.3)
+     [1] -1.180104068086876
+     > psn(0.4, 1.1, 2.2, -3.3)
+     [1] 0.733918618927874
+     > dsn(0.4, 1.1, 2.2, -3.3)
+     [1] 0.2941401101565995
+
+   */
+
+  //1 st
+  loc = 1.1; sc = 2.2; sh = -3.3;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = -0.5799089925398568;
+  cumulants[1] =  2.0179057767837230;
+  cumulants[2] = -2.0347951542374196;
+  cumulants[3] =  2.2553488991015072;
+  x = 0.4;
+  p = 0.3;
+  qsn = -1.180104068086876;
+  psn = 0.733918618927874;
+  dsn = 0.2941401101565995;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+
+  /* R:
+
+     > sn.cumulants(1.1, .02, .03)
+     [1] 1.1004785154529559e+00 3.9977102296128255e-04 4.7027439329779991e-11
+     [4] 1.4847542790693825e-14
+     > qsn(0.01, 1.1, .02, .03)
+     [1] 1.053964962950150
+     > psn(1.3, 1.1, .02, .03)
+     [1] 1
+     > dsn(1.3, 1.1, .02, .03)
+     [1] 4.754580380601393e-21
+
+   */
+
+  // 2nd
+  loc = 1.1; sc = .02; sh = .03;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = 1.1004785154529559e+00;
+  cumulants[1] = 3.9977102296128255e-04;
+  cumulants[2] = 4.7027439329779991e-11;
+  cumulants[3] = 1.4847542790693825e-14;
+  x = 1.3;
+  p = 0.01;
+  qsn = 1.053964962950150;
+  psn = 1;
+  dsn = 4.754580380601393e-21;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+
+  /* R:
+
+     > sn.cumulants(10.1, 5, -.03)
+     [1]  9.980371136761052e+00  2.498568893508016e+01 -7.348037395278123e-04
+     [4]  5.799821402614775e-05
+     > qsn(.8, 10.1, 5, -.03)
+     [1] 14.18727407491953
+     > psn(-1.3, 10.1, 5, -.03)
+     [1] 0.01201290665838824
+     > dsn(-1.3, 10.1, 5, -.03)
+     [1] 0.006254346348897927
+
+
+  */
+
+  // 3rd
+  loc = 10.1; sc = 5; sh = -.03;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = 9.980371136761052e+00;
+  cumulants[1] = 2.498568893508016e+01;
+  cumulants[2] = -7.348037395278123e-04;
+  cumulants[3] = 5.799821402614775e-05;
+  x = -1.3;
+  p = 0.8;
+  qsn = 14.18727407491953;
+  psn = 0.01201290665838824;
+  dsn = 0.006254346348897927;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+
+
+  /* R:
+
+     > sn.cumulants(-10.1, 5, 30)
+     [1] -6.112791696741384  9.102169946425548 27.206345266148194 71.572537838642916
+     > qsn(.8, -10.1, 5, 30)
+     [1] -3.692242172277
+     > psn(-1.3, -10.1, 5, 30)
+     [1] 0.921592193425035
+     > dsn(-1.3, -10.1, 5, 30)
+     [1] 0.0339105445232089
+
+  */
+
+  // 4th
+  loc = -10.1; sc = 5; sh = 30;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = -6.112791696741384;
+  cumulants[1] = 9.102169946425548;
+  cumulants[2] = 27.206345266148194;
+  cumulants[3] = 71.572537838642916;
+  x = -1.3;
+  p = 0.8;
+  qsn = -3.692242172277;
+  psn = 0.921592193425035;
+  dsn = 0.0339105445232089;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+  
+  
+  /* R:
+
+     > sn.cumulants(0,1,5)
+     [1] 0.7823901817554269 0.3878656034927102 0.2055576317962637 0.1061119471655128
+     > qsn(0.5,0,1,5)
+     [1] 0.674471117502844
+     > psn(-0.5, 0,1,5)
+     [1] 0.0002731513884140924
+     > dsn(-0.5, 0,1,5)
+     [1] 0.00437241570403263
+
+  */
+
+  // 5th
+  loc = 0; sc = 1; sh = 5;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = 0.7823901817554269;
+  cumulants[1] = 0.3878656034927102;
+  cumulants[2] = 0.2055576317962637;
+  cumulants[3] = 0.1061119471655128;
+  x = -0.5;
+  p = 0.5;
+  qsn = 0.674471117502844;
+  psn = 0.0002731513884140924;
+  dsn = 0.00437241570403263;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+
+  /* R:
+
+     > sn.cumulants(0,1,1e5)
+     [1] 0.7978845607629713 0.3633802276960805 0.2180136141122883 0.1147706820312645
+     > qsn(0.5,0,1,1e5)
+     [1] 0.6744897501960818
+     > psn(-0.5, 0,1,1e5)
+     [1] 0
+     > dsn(-0.5, 0,1,1e5)
+     [1] 0
+
+  */
+
+  // 6th
+  loc = 0; sc = 1; sh = 1e5;
+  std::cout << "location: " << loc << "\tscale: " << sc << "\tshape: " << sh << std::endl;
+  cumulants[0] = 0.7978845607629713;
+  cumulants[1] = 0.3633802276960805;
+  cumulants[2] = 0.2180136141122883;
+  cumulants[3] = 0.1147706820312645;
+  x = -0.5;
+  p = 0.5;
+  qsn = 0.6744897501960818;
+  psn = 0.;
+  dsn = 0.;
+
+  check(loc, sc, sh, cumulants, std::make_pair(p,qsn), x, dsn, psn);
+
+  return 0;
+}
+
+
+// EOF
+
+
+
+
+
+
+
+
diff --git a/src/boost/libs/math/example/special_data.cpp b/src/boost/libs/math/example/special_data.cpp
new file mode 100644
index 00000000..2e101b40
--- /dev/null
+++ b/src/boost/libs/math/example/special_data.cpp
@@ -0,0 +1,84 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//[special_data_example
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <fstream>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+template <class T>
+T my_special(T a, T b)
+{
+   // Implementation of my_special here...
+   return a + b;
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   //
+   // We'll use so many digits of precision that any
+   // calculation errors will still leave us with
+   // 40-50 good digits.  We'll only run this program
+   // once so it doesn't matter too much how long this takes!
+   //
+   typedef number<cpp_dec_float<500> > bignum;
+
+   parameter_info<bignum> arg1, arg2;
+   test_data<bignum> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      //
+      // User interface which prompts for 
+      // range of input parameters:
+      //
+      if(0 == get_user_parameter_info(arg1, "a"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "b"))
+         return 1;
+
+      //
+      // Get a pointer to the function and call
+      // test_data::insert to actually generate
+      // the values.
+      //
+      bignum (*fp)(bignum, bignum) = &my_special;
+      data.insert(fp, arg2, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+   //
+   // Just need to write the results to a file:
+   //
+   std::cout << "Enter name of test data file [default=my_special.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "my_special.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(50);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+//]
diff --git a/src/boost/libs/math/example/students_t_example1.cpp b/src/boost/libs/math/example/students_t_example1.cpp
new file mode 100644
index 00000000..c86b89d5
--- /dev/null
+++ b/src/boost/libs/math/example/students_t_example1.cpp
@@ -0,0 +1,101 @@
+// students_t_example1.cpp
+
+// Copyright Paul A. Bristow 2006, 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 1 of using Student's t
+
+// http://en.wikipedia.org/wiki/Student's_t-test  says:
+// The t statistic was invented by William Sealy Gosset
+// for cheaply monitoring the quality of beer brews.
+// "Student" was his pen name.
+// WS Gosset was statistician for Guinness brewery in Dublin, Ireland,
+// hired due to Claude Guinness's innovative policy of recruiting the
+// best graduates from Oxford and Cambridge for applying biochemistry
+// and statistics to Guinness's industrial processes.
+// Gosset published the t test in Biometrika in 1908,
+// but was forced to use a pen name by his employer who regarded the fact
+// that they were using statistics as a trade secret.
+// In fact, Gosset's identity was unknown not only to fellow statisticians
+// but to his employer - the company insisted on the pseudonym
+// so that it could turn a blind eye to the breach of its rules.
+
+// Data for this example from:
+// P.K.Hou, O. W. Lau & M.C. Wong, Analyst (1983) vol. 108, p 64.
+// from Statistics for Analytical Chemistry, 3rd ed. (1994), pp 54-55
+// J. C. Miller and J. N. Miller, Ellis Horwood ISBN 0 13 0309907
+
+// Determination of mercury by cold-vapour atomic absorption,
+// the following values were obtained fusing a trusted
+// Standard Reference Material containing 38.9% mercury,
+// which we assume is correct or 'true'.
+double standard = 38.9;
+
+const int values = 3;
+double value[values] = {38.9, 37.4, 37.1};
+
+// Is there any evidence for systematic error?
+
+// The Students't distribution function is described at
+// http://en.wikipedia.org/wiki/Student%27s_t_distribution
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;  // Probability of students_t(df, t).
+
+#include <iostream>
+   using std::cout;    using std::endl;
+#include <iomanip>
+   using std::setprecision;
+#include <cmath>
+   using std::sqrt;
+
+int main()
+{
+  cout << "Example 1 using Student's t function. " << endl;
+
+  // Example/test using tabulated value
+  // (deliberately coded as naively as possible).
+
+  // Null hypothesis is that there is no difference (greater or less)
+  // between measured and standard.
+
+  double degrees_of_freedom = values-1; // 3-1 = 2
+  cout << "Measurement 1 = " << value[0] << ", measurement 2 = " << value[1] << ", measurement 3 = " << value[2] << endl;
+  double mean = (value[0] + value[1] + value[2]) / static_cast<double>(values);
+  cout << "Standard = " << standard << ", mean = " << mean << ", (mean - standard) = " << mean - standard  << endl;
+  double sd = sqrt(((value[0] - mean) * (value[0] - mean) + (value[1] - mean) * (value[1] - mean) + (value[2] - mean) * (value[2] - mean))/ static_cast<double>(values-1));
+  cout << "Standard deviation = " << sd << endl;
+  if (sd == 0.)
+  {
+      cout << "Measured mean is identical to SRM value," << endl;
+      cout << "so probability of no difference between measured and standard (the 'null hypothesis') is unity." << endl;
+      return 0;
+  }
+
+  double t = (mean - standard) * std::sqrt(static_cast<double>(values)) / sd;
+  cout << "Student's t = " << t << endl;
+  cout.precision(2); // Useful accuracy is only a few decimal digits.
+  cout << "Probability of Student's t is " << cdf(students_t(degrees_of_freedom), std::abs(t)) << endl;
+  //  0.91, is 1 tailed.
+  // So there is insufficient evidence of a difference to meet a 95% (1 in 20) criterion.
+
+  return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+Example 1 using Student's t function. 
+Measurement 1 = 38.9, measurement 2 = 37.4, measurement 3 = 37.1
+Standard = 38.9, mean = 37.8, (mean - standard) = -1.1
+Standard deviation = 0.964365
+Student's t = -1.97566
+Probability of Student's t is 0.91
+
+*/
+
+
diff --git a/src/boost/libs/math/example/students_t_example2.cpp b/src/boost/libs/math/example/students_t_example2.cpp
new file mode 100644
index 00000000..bbd42316
--- /dev/null
+++ b/src/boost/libs/math/example/students_t_example2.cpp
@@ -0,0 +1,126 @@
+// students_t_example2.cpp
+
+// Copyright Paul A. Bristow 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 2 of using Student's t
+
+// A general guide to Student's t is at
+// http://en.wikipedia.org/wiki/Student's_t-test
+// (and many other elementary and advanced statistics texts).
+// It says:
+// The t statistic was invented by William Sealy Gosset
+// for cheaply monitoring the quality of beer brews.
+// "Student" was his pen name.
+// Gosset was statistician for Guinness brewery in Dublin, Ireland,
+// hired due to Claude Guinness's innovative policy of recruiting the
+// best graduates from Oxford and Cambridge for applying biochemistry
+// and statistics to Guinness's industrial processes.
+// Gosset published the t test in Biometrika in 1908,
+// but was forced to use a pen name by his employer who regarded the fact
+// that they were using statistics as a trade secret.
+// In fact, Gosset's identity was unknown not only to fellow statisticians
+// but to his employer - the company insisted on the pseudonym
+// so that it could turn a blind eye to the breach of its rules.
+
+// The Students't distribution function is described at
+// http://en.wikipedia.org/wiki/Student%27s_t_distribution
+
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;  // Probability of students_t(df, t).
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+#include <iomanip>
+   using std::setprecision;
+   using std::setw;
+#include <cmath>
+   using std::sqrt;
+
+// This example of a one-sided test is from:
+//
+// from Statistics for Analytical Chemistry, 3rd ed. (1994), pp 59-60
+// J. C. Miller and J. N. Miller, Ellis Horwood ISBN 0 13 0309907.
+
+// An acid-base titrimetric method has a significant indicator error and
+// thus tends to give results with a positive systematic error (+bias).
+// To test this an exactly 0.1 M solution of acid is used to titrate
+// 25.00 ml of exactly 0.1 M solution of alkali,
+// with the following results (ml):
+
+double reference = 25.00; // 'True' result.
+const int values = 6; // titrations.
+double data [values] = {25.06, 25.18, 24.87, 25.51, 25.34, 25.41};
+
+int main()
+{
+   cout << "Example2 using Student's t function. ";
+#if defined(__FILE__) && defined(__TIMESTAMP__) && defined(_MSC_FULL_VER)
+   cout << "  " << __FILE__ << ' ' << __TIMESTAMP__ << ' '<< _MSC_FULL_VER;
+#endif
+   cout << endl;
+
+   double sum = 0.;
+   for (int value = 0; value < values; value++)
+   { // Echo data and calculate mean.
+      sum += data[value];
+      cout << setw(4) << value << ' ' << setw(14) << data[value] << endl;
+   }
+   double mean = sum /static_cast<double>(values);
+   cout << "Mean = " << mean << endl; // 25.2283
+
+   double sd = 0.;
+   for (int value = 0; value < values; value++)
+   { // Calculate standard deviation.
+      sd +=(data[value] - mean) * (data[value] - mean);
+   }
+   int degrees_of_freedom = values - 1; // Use the n-1 formula.
+   sd /= degrees_of_freedom; // == variance.
+   sd= sqrt(sd);
+   cout << "Standard deviation = " << sd<< endl; // = 0.238279
+
+   double t = (mean - reference) * sqrt(static_cast<double>(values))/ sd; //
+   cout << "Student's t = " << t << ", with " << degrees_of_freedom << " degrees of freedom." << endl; // = 2.34725
+
+   cout << "Probability of positive bias is " << cdf(students_t(degrees_of_freedom), t) << "."<< endl; // =  0.967108.
+   // A 1-sided test because only testing for a positive bias.
+   // If > 0.95 then greater than 1 in 20 conventional (arbitrary) requirement.
+
+   return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+------ Build started: Project: students_t_example2, Configuration: Debug Win32 ------
+Compiling...
+students_t_example2.cpp
+Linking...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\students_t_example2.exe"
+Example2 using Student's t function.   ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example2.cpp Sat Aug 12 16:55:59 2006 140050727
+   0          25.06
+   1          25.18
+   2          24.87
+   3          25.51
+   4          25.34
+   5          25.41
+Mean = 25.2283
+Standard deviation = 0.238279
+Student's t = 2.34725, with 5 degrees of freedom.
+Probability of positive bias is 0.967108.
+Build Time 0:03
+Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example2\Debug\BuildLog.htm"
+students_t_example2 - 0 error(s), 0 warning(s)
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+*/
+
+
+
+
+
diff --git a/src/boost/libs/math/example/students_t_example3.cpp b/src/boost/libs/math/example/students_t_example3.cpp
new file mode 100644
index 00000000..289daec0
--- /dev/null
+++ b/src/boost/libs/math/example/students_t_example3.cpp
@@ -0,0 +1,120 @@
+// students_t_example3.cpp
+// Copyright Paul A. Bristow 2006, 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Example 3 of using Student's t.
+
+// A general guide to Student's t is at
+// http://en.wikipedia.org/wiki/Student's_t-test
+// (and many other elementary and advanced statistics texts).
+// It says:
+// The t statistic was invented by William Sealy Gosset
+// for cheaply monitoring the quality of beer brews.
+// "Student" was his pen name.
+// Gosset was statistician for Guinness brewery in Dublin, Ireland,
+// hired due to Claude Guinness's innovative policy of recruiting the
+// best graduates from Oxford and Cambridge for applying biochemistry
+// and statistics to Guinness's industrial processes.
+// Gosset published the t test in Biometrika in 1908,
+// but was forced to use a pen name by his employer who regarded the fact
+// that they were using statistics as a trade secret.
+// In fact, Gosset's identity was unknown not only to fellow statisticians
+// but to his employer - the company insisted on the pseudonym
+// so that it could turn a blind eye to the breach of its rules.
+
+// The Students't distribution function is described at
+// http://en.wikipedia.org/wiki/Student%27s_t_distribution
+
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;  // Probability of students_t(df, t).
+
+#include <iostream>
+   using std::cout;    using std::endl;
+#include <iomanip>
+   using std::setprecision;    using std::setw;
+#include <cmath>
+   using std::sqrt;
+
+// This example of a two-sided test is from:
+// B. M. Smith & M. B. Griffiths, Analyst, 1982, 107, 253,
+// from Statistics for Analytical Chemistry, 3rd ed. (1994), pp 58-59
+// J. C. Miller and J. N. Miller, Ellis Horwood ISBN 0 13 0309907
+
+// Concentrations of lead (ug/l) determined by two different methods
+// for each of four test portions,
+// the concentration of each portion is significantly different,
+// the values may NOT be pooled.
+// (Called a 'paired test' by Miller and Miller
+// because each portion analysed has a different concentration.)
+
+// Portion  Wet oxidation Direct Extraction
+//   1           71            76
+//   2           61            68
+//   3           50            48
+//   4           60            57
+
+const int portions = 4;
+const int methods = 2;
+float data [portions][methods] = {{71, 76}, {61,68}, {50, 48}, {60, 57}};
+float diffs[portions];
+
+int main()
+{
+   cout << "Example3 using Student's t function. " << endl;
+   float mean_diff = 0.f;
+   cout << "\n""Portion  wet_oxidation  Direct_extraction  difference" << endl;
+   for (int portion = 0; portion < portions; portion++)
+   { // Echo data and differences.
+      diffs[portion] = data[portion][0] - data[portion][1];
+      mean_diff += diffs[portion];
+      cout << setw(4) << portion << ' ' << setw(14) << data[portion][0] << ' ' << setw(18)<< data[portion][1] << ' ' << setw(9) << diffs[portion] << endl;
+   }
+   mean_diff /= portions;
+   cout << "Mean difference = " << mean_diff << endl; // -1.75
+
+   float sd_diffs = 0.f;
+   for (int portion = 0; portion < portions; portion++)
+   { // Calculate standard deviation of differences.
+      sd_diffs +=(diffs[portion] - mean_diff) * (diffs[portion] - mean_diff);
+   }
+   int degrees_of_freedom = portions-1; // Use the n-1 formula.
+   sd_diffs /= degrees_of_freedom;
+   sd_diffs = sqrt(sd_diffs);
+   cout << "Standard deviation of differences = " << sd_diffs << endl; // 4.99166
+   // Standard deviation of differences = 4.99166
+   double t = mean_diff * sqrt(static_cast<double>(portions))/ sd_diffs; // -0.70117
+   cout << "Student's t = " << t << ", if " << degrees_of_freedom << " degrees of freedom." << endl;
+   // Student's t = -0.70117, if 3 degrees of freedom.
+   cout << "Probability of the means being different is "
+    << 2.F * cdf(students_t(degrees_of_freedom), t) << "."<< endl; // 0.266846 * 2 = 0.533692
+   // Double the probability because using a 'two-sided test' because
+   // mean for 'Wet oxidation' could be either
+   // greater OR LESS THAN for 'Direct extraction'.
+
+   return 0;
+}  // int main()
+
+/*
+
+Output is:
+
+Example3 using Student's t function. 
+Portion  wet_oxidation  Direct_extraction  difference
+   0             71                 76        -5
+   1             61                 68        -7
+   2             50                 48         2
+   3             60                 57         3
+Mean difference = -1.75
+Standard deviation of differences = 4.99166
+Student's t = -0.70117, if 3 degrees of freedom.
+Probability of the means being different is 0.533692.
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/example/students_t_single_sample.cpp b/src/boost/libs/math/example/students_t_single_sample.cpp
new file mode 100644
index 00000000..4fed0de1
--- /dev/null
+++ b/src/boost/libs/math/example/students_t_single_sample.cpp
@@ -0,0 +1,424 @@
+// Copyright John Maddock 2006
+// Copyright Paul A. Bristow 2007, 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4512) // assignment operator could not be generated.
+#  pragma warning(disable: 4510) // default constructor could not be generated.
+#  pragma warning(disable: 4610) // can never be instantiated - user defined constructor required.
+#endif
+
+#include <boost/math/distributions/students_t.hpp>
+
+// avoid "using namespace std;" and "using namespace boost::math;"
+// to avoid potential ambiguity with names in std random.
+#include <iostream>
+using std::cout; using std::endl;
+using std::left; using std::fixed; using std::right; using std::scientific;
+#include <iomanip>
+using std::setw;
+using std::setprecision;
+
+void confidence_limits_on_mean(double Sm, double Sd, unsigned Sn)
+{
+   //
+   // Sm = Sample Mean.
+   // Sd = Sample Standard Deviation.
+   // Sn = Sample Size.
+   //
+   // Calculate confidence intervals for the mean.
+   // For example if we set the confidence limit to
+   // 0.95, we know that if we repeat the sampling
+   // 100 times, then we expect that the true mean
+   // will be between out limits on 95 occations.
+   // Note: this is not the same as saying a 95%
+   // confidence interval means that there is a 95%
+   // probability that the interval contains the true mean.
+   // The interval computed from a given sample either
+   // contains the true mean or it does not.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
+
+   using boost::math::students_t;
+
+   // Print out general info:
+   cout <<
+      "__________________________________\n"
+      "2-Sided Confidence Limits For Mean\n"
+      "__________________________________\n\n";
+   cout << setprecision(7);
+   cout << setw(40) << left << "Number of Observations" << "=  " << Sn << "\n";
+   cout << setw(40) << left << "Mean" << "=  " << Sm << "\n";
+   cout << setw(40) << left << "Standard Deviation" << "=  " << Sd << "\n";
+   //
+   // Define a table of significance/risk levels:
+   //
+   double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Start by declaring the distribution we'll need:
+   //
+   students_t dist(Sn - 1);
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "_______________________________________________________________\n"
+           "Confidence       T           Interval          Lower          Upper\n"
+           " Value (%)     Value          Width            Limit          Limit\n"
+           "_______________________________________________________________\n";
+   //
+   // Now print out the data for the table rows.
+   //
+   for(unsigned i = 0; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // calculate T:
+      double T = quantile(complement(dist, alpha[i] / 2));
+      // Print T:
+      cout << fixed << setprecision(3) << setw(10) << right << T;
+      // Calculate width of interval (one sided):
+      double w = T * Sd / sqrt(double(Sn));
+      // Print width:
+      if(w < 0.01)
+         cout << scientific << setprecision(3) << setw(17) << right << w;
+      else
+         cout << fixed << setprecision(3) << setw(17) << right << w;
+      // Print Limits:
+      cout << fixed << setprecision(5) << setw(15) << right << Sm - w;
+      cout << fixed << setprecision(5) << setw(15) << right << Sm + w << endl;
+   }
+   cout << endl;
+} // void confidence_limits_on_mean
+
+void single_sample_t_test(double M, double Sm, double Sd, unsigned Sn, double alpha)
+{
+   //
+   // M = true mean.
+   // Sm = Sample Mean.
+   // Sd = Sample Standard Deviation.
+   // Sn = Sample Size.
+   // alpha = Significance Level.
+   //
+   // A Students t test applied to a single set of data.
+   // We are testing the null hypothesis that the true
+   // mean of the sample is M, and that any variation is down
+   // to chance.  We can also test the alternative hypothesis
+   // that any difference is not down to chance.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
+   
+   using boost::math::students_t;
+
+   // Print header:
+   cout <<
+      "__________________________________\n"
+      "Student t test for a single sample\n"
+      "__________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(55) << left << "Number of Observations" << "=  " << Sn << "\n";
+   cout << setw(55) << left << "Sample Mean" << "=  " << Sm << "\n";
+   cout << setw(55) << left << "Sample Standard Deviation" << "=  " << Sd << "\n";
+   cout << setw(55) << left << "Expected True Mean" << "=  " << M << "\n\n";
+   //
+   // Now we can calculate and output some stats:
+   //
+   // Difference in means:
+   double diff = Sm - M;
+   cout << setw(55) << left << "Sample Mean - Expected Test Mean" << "=  " << diff << "\n";
+   // Degrees of freedom:
+   unsigned v = Sn - 1;
+   cout << setw(55) << left << "Degrees of Freedom" << "=  " << v << "\n";
+   // t-statistic:
+   double t_stat = diff * sqrt(double(Sn)) / Sd;
+   cout << setw(55) << left << "T Statistic" << "=  " << t_stat << "\n";
+   //
+   // Finally define our distribution, and get the probability:
+   //
+   students_t dist(v);
+   double q = cdf(complement(dist, fabs(t_stat)));
+   cout << setw(55) << left << "Probability that difference is due to chance" << "=  "
+      << setprecision(3) << scientific << 2 * q << "\n\n";
+   //
+   // Finally print out results of alternative hypothesis:
+   //
+   cout << setw(55) << left <<
+      "Results for Alternative Hypothesis and alpha" << "=  "
+      << setprecision(4) << fixed << alpha << "\n\n";
+   cout << "Alternative Hypothesis     Conclusion\n";
+   cout << "Mean != " << setprecision(3) << fixed << M << "            ";
+   if(q < alpha / 2)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Mean  < " << setprecision(3) << fixed << M << "            ";
+   if(cdf(complement(dist, t_stat)) > alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Mean  > " << setprecision(3) << fixed << M << "            ";
+   if(cdf(dist, t_stat) > alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << endl << endl;
+} // void single_sample_t_test(
+
+void single_sample_find_df(double M, double Sm, double Sd)
+{
+   //
+   // M = true mean.
+   // Sm = Sample Mean.
+   // Sd = Sample Standard Deviation.
+   //
+ 
+   using boost::math::students_t;
+
+   // Print out general info:
+   cout <<
+      "_____________________________________________________________\n"
+      "Estimated sample sizes required for various confidence levels\n"
+      "_____________________________________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(40) << left << "True Mean" << "=  " << M << "\n";
+   cout << setw(40) << left << "Sample Mean" << "=  " << Sm << "\n";
+   cout << setw(40) << left << "Sample Standard Deviation" << "=  " << Sd << "\n";
+   //
+   // Define a table of significance intervals:
+   //
+   double alpha[] = { 0.5, 0.25, 0.1, 0.05, 0.01, 0.001, 0.0001, 0.00001 };
+   //
+   // Print table header:
+   //
+   cout << "\n\n"
+           "_______________________________________________________________\n"
+           "Confidence       Estimated          Estimated\n"
+           " Value (%)      Sample Size        Sample Size\n"
+           "              (one sided test)    (two sided test)\n"
+           "_______________________________________________________________\n";
+   //
+   // Now print out the data for the table rows.
+   //
+   for(unsigned i = 1; i < sizeof(alpha)/sizeof(alpha[0]); ++i)
+   {
+      // Confidence value:
+      cout << fixed << setprecision(3) << setw(10) << right << 100 * (1-alpha[i]);
+      // calculate df for single sided test:
+      double df = students_t::find_degrees_of_freedom(
+         fabs(M - Sm), alpha[i], alpha[i], Sd);
+      // convert to sample size, always one more than the degrees of freedom:
+      double size = ceil(df) + 1;
+      // Print size:
+      cout << fixed << setprecision(0) << setw(16) << right << size;
+      // calculate df for two sided test:
+      df = students_t::find_degrees_of_freedom(
+         fabs(M - Sm), alpha[i]/2, alpha[i], Sd);
+      // convert to sample size:
+      size = ceil(df) + 1;
+      // Print size:
+      cout << fixed << setprecision(0) << setw(16) << right << size << endl;
+   }
+   cout << endl;
+} // void single_sample_find_df
+
+int main()
+{
+   //
+   // Run tests for Heat Flow Meter data
+   // see http://www.itl.nist.gov/div898/handbook/eda/section4/eda428.htm
+   // The data was collected while calibrating a heat flow meter
+   // against a known value.
+   //
+   confidence_limits_on_mean(9.261460, 0.2278881e-01, 195);
+   single_sample_t_test(5, 9.261460, 0.2278881e-01, 195, 0.05);
+   single_sample_find_df(5, 9.261460, 0.2278881e-01);
+
+   //
+   // Data for this example from:
+   // P.K.Hou, O. W. Lau & M.C. Wong, Analyst (1983) vol. 108, p 64.
+   // from Statistics for Analytical Chemistry, 3rd ed. (1994), pp 54-55
+   // J. C. Miller and J. N. Miller, Ellis Horwood ISBN 0 13 0309907
+   //
+   // Determination of mercury by cold-vapour atomic absorption,
+   // the following values were obtained fusing a trusted
+   // Standard Reference Material containing 38.9% mercury,
+   // which we assume is correct or 'true'.
+   //
+   confidence_limits_on_mean(37.8, 0.964365, 3);
+   // 95% test:
+   single_sample_t_test(38.9, 37.8, 0.964365, 3, 0.05);
+   // 90% test:
+   single_sample_t_test(38.9, 37.8, 0.964365, 3, 0.1);
+   // parameter estimate:
+   single_sample_find_df(38.9, 37.8, 0.964365);
+
+   return 0;
+} // int main()
+
+/*
+
+Output:
+
+------ Rebuild All started: Project: students_t_single_sample, Configuration: Release Win32 ------
+  students_t_single_sample.cpp
+  Generating code
+  Finished generating code
+  students_t_single_sample.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\students_t_single_sample.exe
+__________________________________
+2-Sided Confidence Limits For Mean
+__________________________________
+
+Number of Observations                  =  195
+Mean                                    =  9.26146
+Standard Deviation                      =  0.02278881
+
+
+_______________________________________________________________
+Confidence       T           Interval          Lower          Upper
+ Value (%)     Value          Width            Limit          Limit
+_______________________________________________________________
+    50.000     0.676       1.103e-003        9.26036        9.26256
+    75.000     1.154       1.883e-003        9.25958        9.26334
+    90.000     1.653       2.697e-003        9.25876        9.26416
+    95.000     1.972       3.219e-003        9.25824        9.26468
+    99.000     2.601       4.245e-003        9.25721        9.26571
+    99.900     3.341       5.453e-003        9.25601        9.26691
+    99.990     3.973       6.484e-003        9.25498        9.26794
+    99.999     4.537       7.404e-003        9.25406        9.26886
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations                                 =  195
+Sample Mean                                            =  9.26146
+Sample Standard Deviation                              =  0.02279
+Expected True Mean                                     =  5.00000
+
+Sample Mean - Expected Test Mean                       =  4.26146
+Degrees of Freedom                                     =  194
+T Statistic                                            =  2611.28380
+Probability that difference is due to chance           =  0.000e+000
+
+Results for Alternative Hypothesis and alpha           =  0.0500
+
+Alternative Hypothesis     Conclusion
+Mean != 5.000            NOT REJECTED
+Mean  < 5.000            REJECTED
+Mean  > 5.000            NOT REJECTED
+
+
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+
+True Mean                               =  5.00000
+Sample Mean                             =  9.26146
+Sample Standard Deviation               =  0.02279
+
+
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+              (one sided test)    (two sided test)
+_______________________________________________________________
+    75.000               2               2
+    90.000               2               2
+    95.000               2               2
+    99.000               2               2
+    99.900               3               3
+    99.990               3               3
+    99.999               4               4
+
+__________________________________
+2-Sided Confidence Limits For Mean
+__________________________________
+
+Number of Observations                  =  3
+Mean                                    =  37.8000000
+Standard Deviation                      =  0.9643650
+
+
+_______________________________________________________________
+Confidence       T           Interval          Lower          Upper
+ Value (%)     Value          Width            Limit          Limit
+_______________________________________________________________
+    50.000     0.816            0.455       37.34539       38.25461
+    75.000     1.604            0.893       36.90717       38.69283
+    90.000     2.920            1.626       36.17422       39.42578
+    95.000     4.303            2.396       35.40438       40.19562
+    99.000     9.925            5.526       32.27408       43.32592
+    99.900    31.599           17.594       20.20639       55.39361
+    99.990    99.992           55.673      -17.87346       93.47346
+    99.999   316.225          176.067     -138.26683      213.86683
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations                                 =  3
+Sample Mean                                            =  37.80000
+Sample Standard Deviation                              =  0.96437
+Expected True Mean                                     =  38.90000
+
+Sample Mean - Expected Test Mean                       =  -1.10000
+Degrees of Freedom                                     =  2
+T Statistic                                            =  -1.97566
+Probability that difference is due to chance           =  1.869e-001
+
+Results for Alternative Hypothesis and alpha           =  0.0500
+
+Alternative Hypothesis     Conclusion
+Mean != 38.900            REJECTED
+Mean  < 38.900            NOT REJECTED
+Mean  > 38.900            NOT REJECTED
+
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations                                 =  3
+Sample Mean                                            =  37.80000
+Sample Standard Deviation                              =  0.96437
+Expected True Mean                                     =  38.90000
+
+Sample Mean - Expected Test Mean                       =  -1.10000
+Degrees of Freedom                                     =  2
+T Statistic                                            =  -1.97566
+Probability that difference is due to chance           =  1.869e-001
+
+Results for Alternative Hypothesis and alpha           =  0.1000
+
+Alternative Hypothesis     Conclusion
+Mean != 38.900            REJECTED
+Mean  < 38.900            NOT REJECTED
+Mean  > 38.900            REJECTED
+
+
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+
+True Mean                               =  38.90000
+Sample Mean                             =  37.80000
+Sample Standard Deviation               =  0.96437
+
+
+_______________________________________________________________
+Confidence       Estimated          Estimated
+ Value (%)      Sample Size        Sample Size
+              (one sided test)    (two sided test)
+_______________________________________________________________
+    75.000               3               4
+    90.000               7               9
+    95.000              11              13
+    99.000              20              22
+    99.900              35              37
+    99.990              50              53
+    99.999              66              68
+
+*/
+
diff --git a/src/boost/libs/math/example/students_t_two_samples.cpp b/src/boost/libs/math/example/students_t_two_samples.cpp
new file mode 100644
index 00000000..66a9e703
--- /dev/null
+++ b/src/boost/libs/math/example/students_t_two_samples.cpp
@@ -0,0 +1,245 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2010
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4512) // assignment operator could not be generated.
+#  pragma warning(disable: 4510) // default constructor could not be generated.
+#  pragma warning(disable: 4610) // can never be instantiated - user defined constructor required.
+#endif
+
+#include <iostream>
+using std::cout; using std::endl;
+using std::left; using std::fixed; using std::right; using std::scientific;
+#include <iomanip>
+using std::setw;
+using std::setprecision;
+
+#include <boost/math/distributions/students_t.hpp>
+   using boost::math::students_t;
+
+
+void two_samples_t_test_equal_sd(
+        double Sm1, // Sm1 = Sample Mean 1.
+        double Sd1,   // Sd1 = Sample Standard Deviation 1.
+        unsigned Sn1,   // Sn1 = Sample Size 1.
+        double Sm2,   // Sm2 = Sample Mean 2.
+        double Sd2,   // Sd2 = Sample Standard Deviation 2.
+        unsigned Sn2,   // Sn2 = Sample Size 2.
+        double alpha)   // alpha = Significance Level.
+{
+   // A Students t test applied to two sets of data.
+   // We are testing the null hypothesis that the two
+   // samples have the same mean and that any difference
+   // if due to chance.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda353.htm
+   //
+   using namespace std;
+   // using namespace boost::math;
+
+   using boost::math::students_t;
+
+   // Print header:
+   cout <<
+      "_______________________________________________\n"
+      "Student t test for two samples (equal variances)\n"
+      "_______________________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(55) << left << "Number of Observations (Sample 1)" << "=  " << Sn1 << "\n";
+   cout << setw(55) << left << "Sample 1 Mean" << "=  " << Sm1 << "\n";
+   cout << setw(55) << left << "Sample 1 Standard Deviation" << "=  " << Sd1 << "\n";
+   cout << setw(55) << left << "Number of Observations (Sample 2)" << "=  " << Sn2 << "\n";
+   cout << setw(55) << left << "Sample 2 Mean" << "=  " << Sm2 << "\n";
+   cout << setw(55) << left << "Sample 2 Standard Deviation" << "=  " << Sd2 << "\n";
+   //
+   // Now we can calculate and output some stats:
+   //
+   // Degrees of freedom:
+   double v = Sn1 + Sn2 - 2;
+   cout << setw(55) << left << "Degrees of Freedom" << "=  " << v << "\n";
+   // Pooled variance and hence standard deviation:
+   double sp = sqrt(((Sn1-1) * Sd1 * Sd1 + (Sn2-1) * Sd2 * Sd2) / v);
+   cout << setw(55) << left << "Pooled Standard Deviation" << "=  " << sp << "\n";
+   // t-statistic:
+   double t_stat = (Sm1 - Sm2) / (sp * sqrt(1.0 / Sn1 + 1.0 / Sn2));
+   cout << setw(55) << left << "T Statistic" << "=  " << t_stat << "\n";
+   //
+   // Define our distribution, and get the probability:
+   //
+   students_t dist(v);
+   double q = cdf(complement(dist, fabs(t_stat)));
+   cout << setw(55) << left << "Probability that difference is due to chance" << "=  "
+      << setprecision(3) << scientific << 2 * q << "\n\n";
+   //
+   // Finally print out results of alternative hypothesis:
+   //
+   cout << setw(55) << left <<
+      "Results for Alternative Hypothesis and alpha" << "=  "
+      << setprecision(4) << fixed << alpha << "\n\n";
+   cout << "Alternative Hypothesis              Conclusion\n";
+   cout << "Sample 1 Mean != Sample 2 Mean       " ;
+   if(q < alpha / 2)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Sample 1 Mean <  Sample 2 Mean       ";
+   if(cdf(dist, t_stat) < alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Sample 1 Mean >  Sample 2 Mean       ";
+   if(cdf(complement(dist, t_stat)) < alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << endl << endl;
+}
+
+void two_samples_t_test_unequal_sd(
+        double Sm1,   // Sm1 = Sample Mean 1.
+        double Sd1,   // Sd1 = Sample Standard Deviation 1.
+        unsigned Sn1,   // Sn1 = Sample Size 1.
+        double Sm2,   // Sm2 = Sample Mean 2.
+        double Sd2,   // Sd2 = Sample Standard Deviation 2.
+        unsigned Sn2,   // Sn2 = Sample Size 2.
+        double alpha)   // alpha = Significance Level.
+{
+   // A Students t test applied to two sets of data.
+   // We are testing the null hypothesis that the two
+   // samples have the same mean and 
+   // that any difference is due to chance.
+   // See http://www.itl.nist.gov/div898/handbook/eda/section3/eda353.htm
+   //
+   using namespace std;
+   using boost::math::students_t;
+
+   // Print header:
+   cout <<
+      "_________________________________________________\n"
+      "Student t test for two samples (unequal variances)\n"
+      "_________________________________________________\n\n";
+   cout << setprecision(5);
+   cout << setw(55) << left << "Number of Observations (Sample 1)" << "=  " << Sn1 << "\n";
+   cout << setw(55) << left << "Sample 1 Mean" << "=  " << Sm1 << "\n";
+   cout << setw(55) << left << "Sample 1 Standard Deviation" << "=  " << Sd1 << "\n";
+   cout << setw(55) << left << "Number of Observations (Sample 2)" << "=  " << Sn2 << "\n";
+   cout << setw(55) << left << "Sample 2 Mean" << "=  " << Sm2 << "\n";
+   cout << setw(55) << left << "Sample 2 Standard Deviation" << "=  " << Sd2 << "\n";
+   //
+   // Now we can calculate and output some stats:
+   //
+   // Degrees of freedom:
+   double v = Sd1 * Sd1 / Sn1 + Sd2 * Sd2 / Sn2;
+   v *= v;
+   double t1 = Sd1 * Sd1 / Sn1;
+   t1 *= t1;
+   t1 /=  (Sn1 - 1);
+   double t2 = Sd2 * Sd2 / Sn2;
+   t2 *= t2;
+   t2 /= (Sn2 - 1);
+   v /= (t1 + t2);
+   cout << setw(55) << left << "Degrees of Freedom" << "=  " << v << "\n";
+   // t-statistic:
+   double t_stat = (Sm1 - Sm2) / sqrt(Sd1 * Sd1 / Sn1 + Sd2 * Sd2 / Sn2);
+   cout << setw(55) << left << "T Statistic" << "=  " << t_stat << "\n";
+   //
+   // Define our distribution, and get the probability:
+   //
+   students_t dist(v);
+   double q = cdf(complement(dist, fabs(t_stat)));
+   cout << setw(55) << left << "Probability that difference is due to chance" << "=  "
+      << setprecision(3) << scientific << 2 * q << "\n\n";
+   //
+   // Finally print out results of alternative hypothesis:
+   //
+   cout << setw(55) << left <<
+      "Results for Alternative Hypothesis and alpha" << "=  "
+      << setprecision(4) << fixed << alpha << "\n\n";
+   cout << "Alternative Hypothesis              Conclusion\n";
+   cout << "Sample 1 Mean != Sample 2 Mean       " ;
+   if(q < alpha / 2)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Sample 1 Mean <  Sample 2 Mean       ";
+   if(cdf(dist, t_stat) < alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << "Sample 1 Mean >  Sample 2 Mean       ";
+   if(cdf(complement(dist, t_stat)) < alpha)
+      cout << "NOT REJECTED\n";
+   else
+      cout << "REJECTED\n";
+   cout << endl << endl;
+}
+
+int main()
+{
+   //
+   // Run tests for Car Mileage sample data
+   // http://www.itl.nist.gov/div898/handbook/eda/section3/eda3531.htm
+   // from the NIST website http://www.itl.nist.gov.  The data compares
+   // miles per gallon of US cars with miles per gallon of Japanese cars.
+   //
+   two_samples_t_test_equal_sd(20.14458, 6.414700, 249, 30.48101, 6.107710, 79, 0.05);
+   two_samples_t_test_unequal_sd(20.14458, 6.414700, 249, 30.48101, 6.107710, 79, 0.05);
+
+   return 0;
+} // int main()
+
+/*
+Output is:
+
+  _______________________________________________
+  Student t test for two samples (equal variances)
+  _______________________________________________
+  
+  Number of Observations (Sample 1)                      =  249
+  Sample 1 Mean                                          =  20.145
+  Sample 1 Standard Deviation                            =  6.4147
+  Number of Observations (Sample 2)                      =  79
+  Sample 2 Mean                                          =  30.481
+  Sample 2 Standard Deviation                            =  6.1077
+  Degrees of Freedom                                     =  326
+  Pooled Standard Deviation                              =  6.3426
+  T Statistic                                            =  -12.621
+  Probability that difference is due to chance           =  5.273e-030
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis              Conclusion
+  Sample 1 Mean != Sample 2 Mean       NOT REJECTED
+  Sample 1 Mean <  Sample 2 Mean       NOT REJECTED
+  Sample 1 Mean >  Sample 2 Mean       REJECTED
+  
+  
+  _________________________________________________
+  Student t test for two samples (unequal variances)
+  _________________________________________________
+  
+  Number of Observations (Sample 1)                      =  249
+  Sample 1 Mean                                          =  20.14458
+  Sample 1 Standard Deviation                            =  6.41470
+  Number of Observations (Sample 2)                      =  79
+  Sample 2 Mean                                          =  30.48101
+  Sample 2 Standard Deviation                            =  6.10771
+  Degrees of Freedom                                     =  136.87499
+  T Statistic                                            =  -12.94627
+  Probability that difference is due to chance           =  1.571e-025
+  
+  Results for Alternative Hypothesis and alpha           =  0.0500
+  
+  Alternative Hypothesis              Conclusion
+  Sample 1 Mean != Sample 2 Mean       NOT REJECTED
+  Sample 1 Mean <  Sample 2 Mean       NOT REJECTED
+  Sample 1 Mean >  Sample 2 Mean       REJECTED
+  
+
+
+*/
+
diff --git a/src/boost/libs/math/example/table_type.hpp b/src/boost/libs/math/example/table_type.hpp
new file mode 100644
index 00000000..b8f16cfd
--- /dev/null
+++ b/src/boost/libs/math/example/table_type.hpp
@@ -0,0 +1,29 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_TABLE_TYPE_HPP
+#define BOOST_MATH_TEST_TABLE_TYPE_HPP
+
+template <class T>
+struct table_type
+{
+   typedef T type;
+};
+
+namespace boost{ namespace math{ namespace concepts{
+
+   class real_concept;
+
+}}}
+
+template <>
+struct table_type<boost::math::concepts::real_concept>
+{
+   typedef long double type;
+};
+
+#endif
diff --git a/src/boost/libs/math/example/test_cpp_float_close_fraction.cpp b/src/boost/libs/math/example/test_cpp_float_close_fraction.cpp
new file mode 100644
index 00000000..b4699fad
--- /dev/null
+++ b/src/boost/libs/math/example/test_cpp_float_close_fraction.cpp
@@ -0,0 +1,119 @@
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright Paul A. Bristow 2013
+// Copyright Christopher Kormanyos 2013.
+// Copyright John Maddock 2013.
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4512)
+#  pragma warning (disable : 4996)
+#endif
+
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on"// Show library file details.
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // Extra test tool for FP comparison.
+
+#include <iostream>
+#include <limits>
+
+//[expression_template_1
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+/*`To define a 50 decimal digit type using `cpp_dec_float`,
+you must pass two template parameters to `boost::multiprecision::number`.
+
+It may be more legible to use a two-staged type definition such as this:
+
+``
+typedef boost::multiprecision::cpp_dec_float<50> mp_backend;
+typedef boost::multiprecision::number<mp_backend, boost::multiprecision::et_off> cpp_dec_float_50_noet;
+``
+
+Here, we first define `mp_backend` as `cpp_dec_float` with 50 digits.
+The second step passes this backend to `boost::multiprecision::number`
+with `boost::multiprecision::et_off`, an enumerated type.
+
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>, boost::multiprecision::et_off>
+  cpp_dec_float_50_noet;
+
+You can reduce typing with a `using` directive `using namespace boost::multiprecision;`
+if desired, as shown below.
+*/
+
+using namespace boost::multiprecision;
+
+
+/*`Now `cpp_dec_float_50_noet` or `cpp_dec_float_50_et`
+can be used as a direct replacement for built-in types like `double` etc.
+*/
+
+BOOST_AUTO_TEST_CASE(cpp_float_test_check_close_noet)
+{ // No expression templates/
+  typedef number<cpp_dec_float<50>, et_off> cpp_dec_float_50_noet;
+
+  std::cout.precision(std::numeric_limits<cpp_dec_float_50_noet>::digits10); // All significant digits.
+  std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+  cpp_dec_float_50_noet a ("1.0");
+  cpp_dec_float_50_noet b ("1.0");
+  b += std::numeric_limits<cpp_dec_float_50_noet>::epsilon(); // Increment least significant decimal digit.
+
+  cpp_dec_float_50_noet eps = std::numeric_limits<cpp_dec_float_50_noet>::epsilon();
+
+  std::cout <<"a = " << a << ",\nb = " << b << ",\neps = " << eps << std::endl;
+
+  BOOST_CHECK_CLOSE(a, b, eps * 100); // Expected to pass (because tolerance is as percent).
+  BOOST_CHECK_CLOSE_FRACTION(a, b, eps); // Expected to pass (because tolerance is as fraction).
+
+
+
+} // BOOST_AUTO_TEST_CASE(cpp_float_test_check_close)
+
+BOOST_AUTO_TEST_CASE(cpp_float_test_check_close_et)
+{ // Using expression templates.
+  typedef number<cpp_dec_float<50>, et_on> cpp_dec_float_50_et;
+
+  std::cout.precision(std::numeric_limits<cpp_dec_float_50_et>::digits10); // All significant digits.
+  std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+  cpp_dec_float_50_et a("1.0");
+  cpp_dec_float_50_et b("1.0");
+  b += std::numeric_limits<cpp_dec_float_50_et>::epsilon(); // Increment least significant decimal digit.
+
+  cpp_dec_float_50_et eps = std::numeric_limits<cpp_dec_float_50_et>::epsilon();
+
+  std::cout << "a = " << a << ",\nb = " << b << ",\neps = " << eps << std::endl;
+
+  BOOST_CHECK_CLOSE(a, b, eps * 100); // Expected to pass (because tolerance is as percent).
+  BOOST_CHECK_CLOSE_FRACTION(a, b, eps); // Expected to pass (because tolerance is as fraction).
+
+  /*`Using `cpp_dec_float_50` with the default expression template use switched on,
+  the compiler error message for `BOOST_CHECK_CLOSE_FRACTION(a, b, eps); would be:
+  */
+  // failure floating_point_comparison.hpp(59): error C2440: 'static_cast' :
+  // cannot convert from 'int' to 'boost::multiprecision::detail::expression<tag,Arg1,Arg2,Arg3,Arg4>'
+//] [/expression_template_1]
+
+} // BOOST_AUTO_TEST_CASE(cpp_float_test_check_close)
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\big_number\Debug\test_cpp_float_close_fraction.exe"
+  Running 1 test case...
+
+  a = 1.0000000000000000000000000000000000000000000000000,
+  b = 1.0000000000000000000000000000000000000000000000001,
+  eps = 1.0000000000000000000000000000000000000000000000000e-49
+
+  *** No errors detected
+
+
+*/
+
diff --git a/src/boost/libs/math/example/test_nonfinite_loopback.cpp b/src/boost/libs/math/example/test_nonfinite_loopback.cpp
new file mode 100644
index 00000000..c7b8e420
--- /dev/null
+++ b/src/boost/libs/math/example/test_nonfinite_loopback.cpp
@@ -0,0 +1,97 @@
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow
+
+/*!
+\file
+\brief Basic tests of native nonfinite loopback.
+
+\detail Basic loopback test outputs using the platforms built-in facets
+and reads back in, and checks if loopback OK.
+
+Using MSVC this doesn't work OK:
+input produces just "1" instead of "1.#QNAN", 1.#SNAN" or 1.#IND"!
+
+*/
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <locale>
+using std::locale;
+#include <string>
+using std::string;
+#include <sstream>
+  using std::stringstream;
+#include <limits>
+using std::numeric_limits;
+
+int main()
+{
+   locale default_locale; // Current global locale.
+  // Try to use the default locale first.
+  // On MSVC this doesn't work.
+
+  { // Try infinity.
+    stringstream ss; // Both input and output.
+    ss.imbue(default_locale); // Redundant, of course.
+    string infs;
+    if(numeric_limits<double>::has_infinity)
+    {  // Make sure infinity is specialised for type double.
+      double inf = numeric_limits<double>::infinity();
+      ss << inf; // Output infinity.
+      infs = ss.str();  //
+    }
+    else
+    { // Need to provide a suitable string for infinity.
+     infs =  "1.#INF"; // Might suit MSVC?
+      ss << infs;
+    }
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "infinity output was " << infs << endl; // "1.#INF"
+    cout << "infinity input was " << r << endl; // "1"
+  }
+
+    { // Try Quiet NaN
+    stringstream ss; // Both input and output.
+    ss.imbue(default_locale); // Redundant, of course.
+    string infs;
+    if(numeric_limits<double>::has_quiet_NaN)
+    {  // Make sure quiet NaN is specialised for type double.
+      double qnan = numeric_limits<double>::quiet_NaN();
+      ss << qnan; // Output quiet_NaN.
+      infs = ss.str();  //
+    }
+    else
+    { // Need to provide a suitable string for quiet_NAN.
+     infs =  "1.#QNAN";
+      ss << infs;
+    }
+    double r;
+    ss >> r; // Read back in.
+
+    cout << "quiet_NaN output was " << infs << endl; // "1.#QNAN"
+    cout << "quiet_NaN input was " << r << endl; // "1#"
+  }
+
+
+} // int main()
+
+/*
+
+Output (MSVC Version 10.0):
+
+
+  infinity output was 1.#INF
+  infinity input was 1
+  quiet_NaN output was 1.#QNAN
+  quiet_NaN input was 1
+
+
+*/
+
diff --git a/src/boost/libs/math/example/trapezoidal_example.cpp b/src/boost/libs/math/example/trapezoidal_example.cpp
new file mode 100644
index 00000000..bbea6415
--- /dev/null
+++ b/src/boost/libs/math/example/trapezoidal_example.cpp
@@ -0,0 +1,29 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * This example shows to to numerically integrate a periodic function using the adaptive_trapezoidal routine provided by boost.
+ */
+
+#include <iostream>
+#include <cmath>
+#include <limits>
+#include <boost/math/quadrature/trapezoidal.hpp>
+
+int main()
+{
+    using boost::math::constants::two_pi;
+    using boost::math::constants::third;
+    using boost::math::quadrature::trapezoidal;
+    // This function has an analytic form for its integral over a period: 2pi/3.
+    auto f = [](double x) { return 1/(5 - 4*cos(x)); };
+
+    double Q = trapezoidal(f, (double) 0, two_pi<double>());
+
+    std::cout << std::setprecision(std::numeric_limits<double>::digits10);
+    std::cout << "The adaptive trapezoidal rule gives the integral of our function as " << Q << "\n";
+    std::cout << "The exact result is                                                 " << two_pi<double>()*third<double>() << "\n";
+
+}
diff --git a/src/boost/libs/math/include_private/boost/math/constants/generate.hpp b/src/boost/libs/math/include_private/boost/math/constants/generate.hpp
new file mode 100644
index 00000000..2c29be71
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/constants/generate.hpp
@@ -0,0 +1,76 @@
+//  Copyright John Maddock 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_CONSTANTS_GENERATE_INCLUDED
+#define BOOST_MATH_CONSTANTS_GENERATE_INCLUDED
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/regex.hpp>
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+
+#ifdef USE_MPFR
+#include <boost/math/bindings/mpfr.hpp>
+#elif defined(USE_MPREAL)
+#include <boost/math/bindings/mpreal.hpp>
+#elif defined(USE_CPP_FLOAT)
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#else
+#include <boost/math/bindings/rr.hpp>
+#endif
+
+namespace boost{ namespace math{ namespace constants{ 
+
+#ifdef USE_MPFR
+typedef mpfr_class generator_type;
+#elif defined(USE_MPREAL)
+typedef mpfr::mpreal generator_type;
+#elif defined(USE_CPP_FLOAT)
+typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<500> > generator_type;
+#else
+typedef ntl::RR generator_type;
+#endif
+
+inline void print_constant(const char* name, generator_type(*f)(const mpl::int_<0>&))
+{
+#ifdef USE_MPFR
+   mpfr_class::set_dprec(((200 + 1) * 1000L) / 301L);
+#elif defined(USE_MPREAL)
+   mpfr::mpreal::set_default_prec(((200 + 1) * 1000L) / 301L);
+#elif defined(USE_CPP_FLOAT)
+   // Nothing to do, precision is already set.
+#else
+   ntl::RR::SetPrecision(((200 + 1) * 1000L) / 301L);
+   ntl::RR::SetOutputPrecision(102);
+#endif
+   generator_type value = f(boost::mpl::int_<0>());
+   std::stringstream os;
+   os << std::setprecision(110) << std::scientific;
+   os << value;
+   std::string s = os.str();
+   static const regex e("([+-]?\\d+(?:\\.\\d{0,36})?)(\\d*)(?:e([+-]?\\d+))?");
+   smatch what;
+   if(regex_match(s, what, e))
+   {
+      std::cout << 
+         "BOOST_DEFINE_MATH_CONSTANT(" << name << ", " 
+         << what[1] << "e" << (what[3].length() ? what[3].str() : std::string("0")) << ", " 
+         << "\"" << what[1] << what[2] << "e" << (what[3].length() ? what[3].str() : std::string("0")) 
+         << "\");" << std::endl;
+   }
+   else
+   {
+      std::cout << "Format of numeric constant was not recognised!!" << std::endl;
+   }
+}
+
+#define BOOST_CONSTANTS_GENERATE(name) \
+   boost::math::constants::print_constant(#name, \
+   & boost::math::constants::detail::BOOST_JOIN(constant_, name)<boost::math::constants::generator_type>::get)
+
+}}} // namespaces
+
+#endif // BOOST_MATH_CONSTANTS_GENERATE_INCLUDED
diff --git a/src/boost/libs/math/include_private/boost/math/tools/iteration_logger.hpp b/src/boost/libs/math/include_private/boost/math/tools/iteration_logger.hpp
new file mode 100644
index 00000000..c272a17d
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/tools/iteration_logger.hpp
@@ -0,0 +1,77 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_ITERATION_LOGGER
+#define BOOST_MATH_TOOLS_ITERATION_LOGGER
+
+#include <map>
+#include <string>
+#include <utility>
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <boost/current_function.hpp>
+
+namespace boost{ namespace math{ namespace detail{
+
+struct logger
+{
+   std::map<std::pair<std::string, std::string>, unsigned long long> data;
+
+   ~logger()
+   {
+      for(std::map<std::pair<std::string, std::string>, unsigned long long>::const_iterator i = data.begin(); i != data.end(); ++i)
+      {
+         std::cout << "Logging iteration data:\n  file: " << i->first.first
+            << "\n  function: " << i->first.second
+            << "\n  count: " << i->second << std::endl;
+         //
+         // Read in existing data:
+         //
+         std::map<std::string, unsigned long long> file_data;
+         std::string filename = i->first.first + ".logfile";
+         std::ifstream is(filename.c_str());
+         while(is.good())
+         {
+            std::string f;
+            unsigned long long c;
+            is >> std::ws;
+            std::getline(is, f);
+            is >> c;
+            if(f.size())
+               file_data[f] = c;
+         }
+         is.close();
+         if(file_data.find(i->first.second) != file_data.end())
+            file_data[i->first.second] += i->second;
+         else
+            file_data[i->first.second] = i->second;
+         //
+         // Write it out again:
+         //
+         std::ofstream os(filename.c_str());
+         for(std::map<std::string, unsigned long long>::const_iterator j = file_data.begin(); j != file_data.end(); ++j)
+            os << j->first << "\n    " << j->second << std::endl;
+         os.close();
+      }
+   }
+};
+
+inline void log_iterations(const char* file, const char* function, unsigned long long count)
+{
+   static logger l;
+   std::pair<std::string, std::string> key(file, function);
+   if(l.data.find(key) == l.data.end())
+      l.data[key] = 0;
+   l.data[key] += count;
+}
+
+#define BOOST_MATH_LOG_COUNT(count) boost::math::detail::log_iterations(__FILE__, BOOST_CURRENT_FUNCTION, count);
+
+
+}}} // namespaces
+
+#endif // BOOST_MATH_TOOLS_ITERATION_LOGGER
+
diff --git a/src/boost/libs/math/include_private/boost/math/tools/remez.hpp b/src/boost/libs/math/include_private/boost/math/tools/remez.hpp
new file mode 100644
index 00000000..44a3412f
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/tools/remez.hpp
@@ -0,0 +1,667 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_REMEZ_HPP
+#define BOOST_MATH_TOOLS_REMEZ_HPP
+
+#ifdef _MSC_VER
+#pragma once
+#endif
+
+#include <boost/math/tools/solve.hpp>
+#include <boost/math/tools/minima.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/function/function1.hpp>
+#include <boost/scoped_array.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/policies/policy.hpp>
+
+namespace boost{ namespace math{ namespace tools{
+
+namespace detail{
+
+//
+// The error function: the difference between F(x) and
+// the current approximation.  This is the function
+// for which we must find the extema.
+//
+template <class T>
+struct remez_error_function
+{
+   typedef boost::function1<T, T const &> function_type;
+public:
+   remez_error_function(
+      function_type f_, 
+      const polynomial<T>& n, 
+      const polynomial<T>& d, 
+      bool rel_err)
+         : f(f_), numerator(n), denominator(d), rel_error(rel_err) {}
+
+   T operator()(const T& z)const
+   {
+      T y = f(z);
+      T abs = y - (numerator.evaluate(z) / denominator.evaluate(z));
+      T err;
+      if(rel_error)
+      {
+         if(y != 0)
+            err = abs / fabs(y);
+         else if(0 == abs)
+         {
+            // we must be at a root, or it's not recoverable:
+            BOOST_ASSERT(0 == abs);
+            err = 0;
+         }
+         else
+         {
+            // We have a divide by zero!
+            // Lets assume that f(x) is zero as a result of
+            // internal cancellation error that occurs as a result
+            // of shifting a root at point z to the origin so that
+            // the approximation can be "pinned" to pass through
+            // the origin: in that case it really
+            // won't matter what our approximation calculates here
+            // as long as it's a small number, return the absolute error:
+            err = abs;
+         }
+      }
+      else
+         err = abs;
+      return err;
+   }
+private:
+   function_type f;
+   polynomial<T> numerator;
+   polynomial<T> denominator;
+   bool rel_error;
+};
+//
+// This function adapts the error function so that it's minima
+// are the extema of the error function.  We can find the minima
+// with standard techniques.
+//
+template <class T>
+struct remez_max_error_function
+{
+   remez_max_error_function(const remez_error_function<T>& f)
+      : func(f) {}
+
+   T operator()(const T& x)
+   {
+      BOOST_MATH_STD_USING
+      return -fabs(func(x));
+   }
+private:
+   remez_error_function<T> func;
+};
+
+} // detail
+
+template <class T>
+class remez_minimax
+{
+public:
+   typedef boost::function1<T, T const &> function_type;
+   typedef boost::numeric::ublas::vector<T> vector_type;
+   typedef boost::numeric::ublas::matrix<T> matrix_type;
+
+   remez_minimax(function_type f, unsigned oN, unsigned oD, T a, T b, bool pin = true, bool rel_err = false, int sk = 0, int bits = 0);
+   remez_minimax(function_type f, unsigned oN, unsigned oD, T a, T b, bool pin, bool rel_err, int sk, int bits, const vector_type& points);
+
+   void reset(unsigned oN, unsigned oD, T a, T b, bool pin = true, bool rel_err = false, int sk = 0, int bits = 0);
+   void reset(unsigned oN, unsigned oD, T a, T b, bool pin, bool rel_err, int sk, int bits, const vector_type& points);
+
+   void set_brake(int b)
+   {
+      BOOST_ASSERT(b < 100);
+      BOOST_ASSERT(b >= 0);
+      m_brake = b;
+   }
+
+   T iterate();
+
+   polynomial<T> denominator()const;
+   polynomial<T> numerator()const;
+
+   vector_type const& chebyshev_points()const
+   {
+      return control_points;
+   }
+
+   vector_type const& zero_points()const
+   {
+      return zeros;
+   }
+
+   T error_term()const
+   {
+      return solution[solution.size() - 1];
+   }
+   T max_error()const
+   {
+      return m_max_error;
+   }
+   T max_change()const
+   {
+      return m_max_change;
+   }
+   void rotate()
+   {
+      --orderN;
+      ++orderD;
+   }
+   void rescale(T a, T b)
+   {
+      T scale = (b - a) / (max - min);
+      for(unsigned i = 0; i < control_points.size(); ++i)
+      {
+         control_points[i] = (control_points[i] - min) * scale + a;
+      }
+      min = a;
+      max = b;
+   }
+private:
+
+   void init_chebyshev();
+
+   function_type func;            // The function to approximate.
+   vector_type control_points;    // Current control points to be used for the next iteration.
+   vector_type solution;          // Solution from the last iteration contains all unknowns including the error term.
+   vector_type zeros;             // Location of points of zero error from last iteration, plus the two end points.
+   vector_type maxima;            // Location of maxima of the error function, actually contains the control points used for the last iteration.
+   T m_max_error;                 // Maximum error found in last approximation.
+   T m_max_change;                // Maximum change in location of control points after last iteration.
+   unsigned orderN;               // Order of the numerator polynomial.
+   unsigned orderD;               // Order of the denominator polynomial.
+   T min, max;                    // End points of the range to optimise over.
+   bool rel_error;                // If true optimise for relative not absolute error.
+   bool pinned;                   // If true the approximation is "pinned" to go through the origin.
+   unsigned unknowns;             // Total number of unknowns.
+   int m_precision;               // Number of bits precision to which the zeros and maxima are found.
+   T m_max_change_history[2];     // Past history of changes to control points.
+   int m_brake;                     // amount to break by in percentage points.
+   int m_skew;                      // amount to skew starting points by in percentage points: -100-100
+};
+
+#ifndef BRAKE
+#define BRAKE 0
+#endif
+#ifndef SKEW
+#define SKEW 0
+#endif
+
+template <class T>
+void remez_minimax<T>::init_chebyshev()
+{
+   BOOST_MATH_STD_USING
+   //
+   // Fill in the zeros:
+   //
+   unsigned terms = pinned ? orderD + orderN : orderD + orderN + 1;
+
+   for(unsigned i = 0; i < terms; ++i)
+   {
+      T cheb = cos((2 * terms - 1 - 2 * i) * constants::pi<T>() / (2 * terms));
+      cheb += 1;
+      cheb /= 2;
+      if(m_skew != 0)
+      {
+         T p = static_cast<T>(200 + m_skew) / 200;
+         cheb = pow(cheb, p);
+      }
+      cheb *= (max - min);
+      cheb += min;
+      zeros[i+1] = cheb;
+   }
+   zeros[0] = min;
+   zeros[unknowns] = max;
+   // perform a regular interpolation fit:
+   matrix_type A(terms, terms);
+   vector_type b(terms);
+   // fill in the y values:
+   for(unsigned i = 0; i < b.size(); ++i)
+   {
+      b[i] = func(zeros[i+1]);
+   }
+   // fill in powers of x evaluated at each of the control points:
+   unsigned offsetN = pinned ? 0 : 1;
+   unsigned offsetD = offsetN + orderN;
+   unsigned maxorder = (std::max)(orderN, orderD);
+   for(unsigned i = 0; i < b.size(); ++i)
+   {
+      T x0 = zeros[i+1];
+      T x = x0;
+      if(!pinned)
+         A(i, 0) = 1;
+      for(unsigned j = 0; j < maxorder; ++j)
+      {
+         if(j < orderN)
+            A(i, j + offsetN) = x;
+         if(j < orderD)
+         {
+            A(i, j + offsetD) = -x * b[i];
+         }
+         x *= x0;
+      }
+   }
+   //
+   // Now go ahead and solve the expression to get our solution:
+   //
+   vector_type l_solution = boost::math::tools::solve(A, b);
+   // need to add a "fake" error term:
+   l_solution.resize(unknowns);
+   l_solution[unknowns-1] = 0;
+   solution = l_solution;
+   //
+   // Now find all the extrema of the error function:
+   //
+   detail::remez_error_function<T> Err(func, this->numerator(), this->denominator(), rel_error);
+   detail::remez_max_error_function<T> Ex(Err);
+   m_max_error = 0;
+   //int max_err_location = 0;
+   for(unsigned i = 0; i < unknowns; ++i)
+   {
+      std::pair<T, T> r = brent_find_minima(Ex, zeros[i], zeros[i+1], m_precision);
+      maxima[i] = r.first;
+      T rel_err = fabs(r.second);
+      if(rel_err > m_max_error)
+      {
+         m_max_error = fabs(r.second);
+         //max_err_location = i;
+      }
+   }
+   control_points = maxima;
+}
+
+template <class T>
+void remez_minimax<T>::reset(
+         unsigned oN, 
+         unsigned oD, 
+         T a, 
+         T b, 
+         bool pin, 
+         bool rel_err, 
+         int sk,
+         int bits)
+{
+   control_points = vector_type(oN + oD + (pin ? 1 : 2));
+   solution = control_points;
+   zeros = vector_type(oN + oD + (pin ? 2 : 3));
+   maxima = control_points;
+   orderN = oN;
+   orderD = oD;
+   rel_error = rel_err;
+   pinned = pin;
+   m_skew = sk;
+   min = a;
+   max = b;
+   m_max_error = 0;
+   unknowns = orderN + orderD + (pinned ? 1 : 2);
+   // guess our initial control points:
+   control_points[0] = min;
+   control_points[unknowns - 1] = max;
+   T interval = (max - min) / (unknowns - 1);
+   T spot = min + interval;
+   for(unsigned i = 1; i < control_points.size(); ++i)
+   {
+      control_points[i] = spot;
+      spot += interval;
+   }
+   solution[unknowns - 1] = 0;
+   m_max_error = 0;
+   if(bits == 0)
+   {
+      // don't bother about more than float precision:
+      m_precision = (std::min)(24, (boost::math::policies::digits<T, boost::math::policies::policy<> >() / 2) - 2);
+   }
+   else
+   {
+      // can't be more accurate than half the bits of T:
+      m_precision = (std::min)(bits, (boost::math::policies::digits<T, boost::math::policies::policy<> >() / 2) - 2);
+   }
+   m_max_change_history[0] = m_max_change_history[1] = 1;
+   init_chebyshev();
+   // do one iteration whatever:
+   //iterate();
+}
+
+template <class T>
+inline remez_minimax<T>::remez_minimax(
+         typename remez_minimax<T>::function_type f, 
+         unsigned oN, 
+         unsigned oD, 
+         T a, 
+         T b, 
+         bool pin, 
+         bool rel_err, 
+         int sk,
+         int bits)
+   : func(f) 
+{
+   m_brake = 0;
+   reset(oN, oD, a, b, pin, rel_err, sk, bits);
+}
+
+template <class T>
+void remez_minimax<T>::reset(
+         unsigned oN, 
+         unsigned oD, 
+         T a, 
+         T b, 
+         bool pin, 
+         bool rel_err, 
+         int sk,
+         int bits,
+         const vector_type& points)
+{
+   control_points = vector_type(oN + oD + (pin ? 1 : 2));
+   solution = control_points;
+   zeros = vector_type(oN + oD + (pin ? 2 : 3));
+   maxima = control_points;
+   orderN = oN;
+   orderD = oD;
+   rel_error = rel_err;
+   pinned = pin;
+   m_skew = sk;
+   min = a;
+   max = b;
+   m_max_error = 0;
+   unknowns = orderN + orderD + (pinned ? 1 : 2);
+   control_points = points;
+   solution[unknowns - 1] = 0;
+   m_max_error = 0;
+   if(bits == 0)
+   {
+      // don't bother about more than float precision:
+      m_precision = (std::min)(24, (boost::math::policies::digits<T, boost::math::policies::policy<> >() / 2) - 2);
+   }
+   else
+   {
+      // can't be more accurate than half the bits of T:
+      m_precision = (std::min)(bits, (boost::math::policies::digits<T, boost::math::policies::policy<> >() / 2) - 2);
+   }
+   m_max_change_history[0] = m_max_change_history[1] = 1;
+   // do one iteration whatever:
+   //iterate();
+}
+
+template <class T>
+inline remez_minimax<T>::remez_minimax(
+         typename remez_minimax<T>::function_type f, 
+         unsigned oN, 
+         unsigned oD, 
+         T a, 
+         T b, 
+         bool pin, 
+         bool rel_err, 
+         int sk,
+         int bits,
+         const vector_type& points)
+   : func(f)
+{
+   m_brake = 0;
+   reset(oN, oD, a, b, pin, rel_err, sk, bits, points);
+}
+
+template <class T>
+T remez_minimax<T>::iterate()
+{
+   BOOST_MATH_STD_USING
+   matrix_type A(unknowns, unknowns);
+   vector_type b(unknowns);
+
+   // fill in evaluation of f(x) at each of the control points:
+   for(unsigned i = 0; i < b.size(); ++i)
+   {
+      // take care that none of our control points are at the origin:
+      if(pinned && (control_points[i] == 0))
+      {
+         if(i)
+            control_points[i] = control_points[i-1] / 3;
+         else
+            control_points[i] = control_points[i+1] / 3;
+      }
+      b[i] = func(control_points[i]);
+   }
+
+   T err_err;
+   unsigned convergence_count = 0;
+   do{
+      // fill in powers of x evaluated at each of the control points:
+      int sign = 1;
+      unsigned offsetN = pinned ? 0 : 1;
+      unsigned offsetD = offsetN + orderN;
+      unsigned maxorder = (std::max)(orderN, orderD);
+      T Elast = solution[unknowns - 1];
+
+      for(unsigned i = 0; i < b.size(); ++i)
+      {
+         T x0 = control_points[i];
+         T x = x0;
+         if(!pinned)
+            A(i, 0) = 1;
+         for(unsigned j = 0; j < maxorder; ++j)
+         {
+            if(j < orderN)
+               A(i, j + offsetN) = x;
+            if(j < orderD)
+            {
+               T mult = rel_error ? T(b[i] - sign * fabs(b[i]) * Elast): T(b[i] - sign * Elast);
+               A(i, j + offsetD) = -x * mult;
+            }
+            x *= x0;
+         }
+         // The last variable to be solved for is the error term, 
+         // sign changes with each control point:
+         T E = rel_error ? T(sign * fabs(b[i])) : T(sign);
+         A(i, unknowns - 1) = E;
+         sign = -sign;
+      }
+
+   #ifdef BOOST_MATH_INSTRUMENT
+      for(unsigned i = 0; i < b.size(); ++i)
+         std::cout << b[i] << " ";
+      std::cout << "\n\n";
+      for(unsigned i = 0; i < b.size(); ++i)
+      {
+         for(unsigned j = 0; j < b.size(); ++ j)
+            std::cout << A(i, j) << " ";
+         std::cout << "\n";
+      }
+      std::cout << std::endl;
+   #endif
+      //
+      // Now go ahead and solve the expression to get our solution:
+      //
+      solution = boost::math::tools::solve(A, b);
+
+      err_err = (Elast != 0) ? T(fabs((fabs(solution[unknowns-1]) - fabs(Elast)) / fabs(Elast))) : T(1);
+   }while(orderD && (convergence_count++ < 80) && (err_err > 0.001));
+
+   //
+   // Perform a sanity check to verify that the solution to the equations
+   // is not so much in error as to be useless.  The matrix inversion can
+   // be very close to singular, so this can be a real problem.
+   //
+   vector_type sanity = prod(A, solution);
+   for(unsigned i = 0; i < b.size(); ++i)
+   {
+      T err = fabs((b[i] - sanity[i]) / fabs(b[i]));
+      if(err > sqrt(epsilon<T>()))
+      {
+         std::cerr << "Sanity check failed: more than half the digits in the found solution are in error." << std::endl;
+      }
+   }
+
+   //
+   // Next comes another sanity check, we want to verify that all the control
+   // points do actually alternate in sign, in practice we may have 
+   // additional roots in the error function that cause this to fail.
+   // Failure here is always fatal: even though this code attempts to correct
+   // the problem it usually only postpones the inevitable.
+   //
+   polynomial<T> num, denom;
+   num = this->numerator();
+   denom = this->denominator();
+   T e1 = b[0] - num.evaluate(control_points[0]) / denom.evaluate(control_points[0]);
+#ifdef BOOST_MATH_INSTRUMENT
+   std::cout << e1;
+#endif
+   for(unsigned i = 1; i < b.size(); ++i)
+   {
+      T e2 = b[i] - num.evaluate(control_points[i]) / denom.evaluate(control_points[i]);
+#ifdef BOOST_MATH_INSTRUMENT
+      std::cout << " " << e2;
+#endif
+      if(e2 * e1 > 0)
+      {
+         std::cerr << std::flush << "Basic sanity check failed: Error term does not alternate in sign, non-recoverable error may follow..." << std::endl;
+         T perturbation = 0.05;
+         do{
+            T point = control_points[i] * (1 - perturbation) + control_points[i-1] * perturbation;
+            e2 = func(point) - num.evaluate(point) / denom.evaluate(point);
+            if(e2 * e1 < 0)
+            {
+               control_points[i] = point;
+               break;
+            }
+            perturbation += 0.05;
+         }while(perturbation < 0.8);
+
+         if((e2 * e1 > 0) && (i + 1 < b.size()))
+         {
+            perturbation = 0.05;
+            do{
+               T point = control_points[i] * (1 - perturbation) + control_points[i+1] * perturbation;
+               e2 = func(point) - num.evaluate(point) / denom.evaluate(point);
+               if(e2 * e1 < 0)
+               {
+                  control_points[i] = point;
+                  break;
+               }
+               perturbation += 0.05;
+            }while(perturbation < 0.8);
+         }
+
+      }
+      e1 = e2;
+   }
+
+#ifdef BOOST_MATH_INSTRUMENT
+   for(unsigned i = 0; i < solution.size(); ++i)
+      std::cout << solution[i] << " ";
+   std::cout << std::endl << this->numerator() << std::endl;
+   std::cout << this->denominator() << std::endl;
+   std::cout << std::endl;
+#endif
+
+   //
+   // The next step is to find all the intervals in which our maxima
+   // lie:
+   //
+   detail::remez_error_function<T> Err(func, this->numerator(), this->denominator(), rel_error);
+   zeros[0] = min;
+   zeros[unknowns] = max;
+   for(unsigned i = 1; i < control_points.size(); ++i)
+   {
+      eps_tolerance<T> tol(m_precision);
+      boost::uintmax_t max_iter = 1000;
+      std::pair<T, T> p = toms748_solve(
+         Err, 
+         control_points[i-1], 
+         control_points[i], 
+         tol, 
+         max_iter);
+      zeros[i] = (p.first + p.second) / 2;
+      //zeros[i] = bisect(Err, control_points[i-1], control_points[i], m_precision);
+   }
+   //
+   // Now find all the extrema of the error function:
+   //
+   detail::remez_max_error_function<T> Ex(Err);
+   m_max_error = 0;
+   //int max_err_location = 0;
+   for(unsigned i = 0; i < unknowns; ++i)
+   {
+      std::pair<T, T> r = brent_find_minima(Ex, zeros[i], zeros[i+1], m_precision);
+      maxima[i] = r.first;
+      T rel_err = fabs(r.second);
+      if(rel_err > m_max_error)
+      {
+         m_max_error = fabs(r.second);
+         //max_err_location = i;
+      }
+   }
+   //
+   // Almost done now! we just need to set our control points
+   // to the extrema, and calculate how much each point has changed
+   // (this will be our termination condition):
+   //
+   swap(control_points, maxima);
+   m_max_change = 0;
+   //int max_change_location = 0;
+   for(unsigned i = 0; i < unknowns; ++i)
+   {
+      control_points[i] = (control_points[i] * (100 - m_brake) + maxima[i] * m_brake) / 100;
+      T change = fabs((control_points[i] - maxima[i]) / control_points[i]);
+#if 0
+      if(change > m_max_change_history[1])
+      {
+         // divergence!!! try capping the change:
+         std::cerr << "Possible divergent step, change will be capped!!" << std::endl;
+         change = m_max_change_history[1];
+         if(control_points[i] < maxima[i])
+            control_points[i] = maxima[i] - change * maxima[i];
+         else
+            control_points[i] = maxima[i] + change * maxima[i];
+      }
+#endif
+      if(change > m_max_change)
+      {
+         m_max_change = change;
+         //max_change_location = i;
+      }
+   }
+   //
+   // store max change information:
+   //
+   m_max_change_history[0] = m_max_change_history[1];
+   m_max_change_history[1] = fabs(m_max_change);
+
+   return m_max_change;
+}
+
+template <class T>
+polynomial<T> remez_minimax<T>::numerator()const
+{
+   boost::scoped_array<T> a(new T[orderN + 1]);
+   if(pinned)
+      a[0] = 0;
+   unsigned terms = pinned ? orderN : orderN + 1;
+   for(unsigned i = 0; i < terms; ++i)
+      a[pinned ? i+1 : i] = solution[i];
+   return boost::math::tools::polynomial<T>(&a[0], orderN);
+}
+
+template <class T>
+polynomial<T> remez_minimax<T>::denominator()const
+{
+   unsigned terms = orderD + 1;
+   unsigned offsetD = pinned ? orderN : (orderN + 1);
+   boost::scoped_array<T> a(new T[terms]);
+   a[0] = 1;
+   for(unsigned i = 0; i < orderD; ++i)
+      a[i+1] = solution[i + offsetD];
+   return boost::math::tools::polynomial<T>(&a[0], orderD);
+}
+
+
+}}} // namespaces
+
+#endif // BOOST_MATH_TOOLS_REMEZ_HPP
+
+
+
diff --git a/src/boost/libs/math/include_private/boost/math/tools/solve.hpp b/src/boost/libs/math/include_private/boost/math/tools/solve.hpp
new file mode 100644
index 00000000..78acde26
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/tools/solve.hpp
@@ -0,0 +1,79 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_SOLVE_HPP
+#define BOOST_MATH_TOOLS_SOLVE_HPP
+
+#ifdef _MSC_VER
+#pragma once
+#endif
+
+#include <boost/config.hpp>
+#include <boost/assert.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4996 4267 4244)
+#endif
+
+#include <boost/numeric/ublas/lu.hpp>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+
+namespace boost{ namespace math{ namespace tools{
+
+//
+// Find x such that Ax = b
+//
+// Caution: this uses undocumented, and untested ublas code,
+// however short of writing our own LU-decompostion code
+// it's the only game in town.
+//
+template <class T>
+boost::numeric::ublas::vector<T> solve(
+          const boost::numeric::ublas::matrix<T>& A_,
+          const boost::numeric::ublas::vector<T>& b_)
+{
+   //BOOST_ASSERT(A_.size() == b_.size());
+
+   boost::numeric::ublas::matrix<T> A(A_);
+   boost::numeric::ublas::vector<T> b(b_);
+   boost::numeric::ublas::permutation_matrix<> piv(b.size());
+   lu_factorize(A, piv);
+   lu_substitute(A, piv, b);
+   //
+   // iterate to reduce error:
+   //
+   boost::numeric::ublas::vector<T> delta(b.size());
+   for(unsigned k = 0; k < 1; ++k)
+   {
+      noalias(delta) = prod(A_, b);
+      delta -= b_;
+      lu_substitute(A, piv, delta);
+      b -= delta;
+
+      T max_error = 0;
+
+      for(unsigned i = 0; i < delta.size(); ++i)
+      {
+         T err = fabs(delta[i] / b[i]);
+         if(err > max_error)
+            max_error = err;
+      }
+      //std::cout << "Max change in LU error correction: " << max_error << std::endl;
+   }
+
+   return b;
+}
+
+}}} // namespaces
+
+#endif // BOOST_MATH_TOOLS_SOLVE_HPP
+
+
diff --git a/src/boost/libs/math/include_private/boost/math/tools/test.hpp b/src/boost/libs/math/include_private/boost/math/tools/test.hpp
new file mode 100644
index 00000000..14b7e2b4
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/tools/test.hpp
@@ -0,0 +1,311 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_TEST_HPP
+#define BOOST_MATH_TOOLS_TEST_HPP
+
+#ifdef _MSC_VER
+#pragma once
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/test/test_tools.hpp>
+#include <stdexcept>
+#include <iostream>
+#include <iomanip>
+
+namespace boost{ namespace math{ namespace tools{
+
+template <class T>
+struct test_result
+{
+private:
+   boost::math::tools::stats<T> stat;   // Statistics for the test.
+   unsigned worst_case;                 // Index of the worst case test.
+public:
+   test_result() { worst_case = 0; }
+   void set_worst(int i){ worst_case = i; }
+   void add(const T& point){ stat.add(point); }
+   // accessors:
+   unsigned worst()const{ return worst_case; }
+   T min BOOST_PREVENT_MACRO_SUBSTITUTION()const{ return (stat.min)(); }
+   T max BOOST_PREVENT_MACRO_SUBSTITUTION()const{ return (stat.max)(); }
+   T total()const{ return stat.total(); }
+   T mean()const{ return stat.mean(); }
+   boost::uintmax_t count()const{ return stat.count(); }
+   T variance()const{ return stat.variance(); }
+   T variance1()const{ return stat.variance1(); }
+   T rms()const{ return stat.rms(); }
+
+   test_result& operator+=(const test_result& t)
+   {
+      if((t.stat.max)() > (stat.max)())
+         worst_case = t.worst_case;
+      stat += t.stat;
+      return *this;
+   }
+};
+
+template <class T>
+struct calculate_result_type
+{
+   typedef typename T::value_type row_type;
+   typedef typename row_type::value_type value_type;
+};
+
+template <class T>
+T relative_error(T a, T b)
+{
+   return boost::math::relative_difference(a, b);
+}
+
+
+template <class T>
+void set_output_precision(T, std::ostream& os)
+{
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   if(std::numeric_limits<T>::digits10)
+   {
+      os << std::setprecision(std::numeric_limits<T>::digits10 + 2);
+   }
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
+template <class Seq>
+void print_row(const Seq& row, std::ostream& os = std::cout)
+{
+   try {
+      set_output_precision(row[0], os);
+      for (unsigned i = 0; i < row.size(); ++i)
+      {
+         if (i)
+            os << ", ";
+         os << row[i];
+      }
+      os << std::endl;
+   }
+   catch (const std::exception&) {}
+}
+
+//
+// Function test accepts an matrix of input values (probably a 2D boost::array)
+// and calls two functors for each row in the array - one calculates a value
+// to test, and one extracts the expected value from the array (or possibly
+// calculates it at high precision).  The two functors are usually simple lambda
+// expressions.
+//
+template <class A, class F1, class F2>
+test_result<typename calculate_result_type<A>::value_type> test(const A& a, F1 test_func, F2 expect_func)
+{
+   typedef typename A::value_type         row_type;
+   typedef typename row_type::value_type  value_type;
+
+   test_result<value_type> result;
+
+   for(unsigned i = 0; i < a.size(); ++i)
+   {
+      const row_type& row = a[i];
+      value_type point;
+#ifndef BOOST_NO_EXCEPTIONS
+      try
+      {
+#endif
+         point = test_func(row);
+#ifndef BOOST_NO_EXCEPTIONS
+      }
+      catch(const std::underflow_error&)
+      {
+         point = 0;
+      }
+      catch(const std::overflow_error&)
+      {
+         point = std::numeric_limits<value_type>::has_infinity ? 
+            std::numeric_limits<value_type>::infinity()
+            : tools::max_value<value_type>();
+      }
+      catch(const std::exception& e)
+      {
+         std::cerr << e.what() << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Unexpected exception.");
+         // so we don't get further errors:
+         point = expect_func(row);
+      }
+#endif
+      value_type expected = expect_func(row);
+      value_type err = relative_error(point, expected);
+#ifdef BOOST_INSTRUMENT
+      if(err != 0)
+      {
+         std::cout << row[0] << " " << err;
+         if(std::numeric_limits<value_type>::is_specialized)
+         {
+            std::cout << " (" << err / std::numeric_limits<value_type>::epsilon() << "eps)";
+         }
+         std::cout << std::endl;
+      }
+#endif
+      if(!(boost::math::isfinite)(point) && (boost::math::isfinite)(expected))
+      {
+         std::cerr << "CAUTION: Found non-finite result, when a finite value was expected at entry " << i << "\n";
+         std::cerr << "Found: " << point << " Expected " << expected << " Error: " << err << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Unexpected non-finite result");
+      }
+      if(err > 0.5)
+      {
+         std::cerr << "CAUTION: Gross error found at entry " << i << ".\n";
+         std::cerr << "Found: " << point << " Expected " << expected << " Error: " << err << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Gross error");
+      }
+      result.add(err);
+      if((result.max)() == err)
+         result.set_worst(i);
+   }
+   return result;
+}
+
+template <class Real, class A, class F1, class F2>
+test_result<Real> test_hetero(const A& a, F1 test_func, F2 expect_func)
+{
+   typedef typename A::value_type         row_type;
+   typedef Real                          value_type;
+
+   test_result<value_type> result;
+
+   for(unsigned i = 0; i < a.size(); ++i)
+   {
+      const row_type& row = a[i];
+      value_type point;
+#ifndef BOOST_NO_EXCEPTIONS
+      try
+      {
+#endif
+         point = test_func(row);
+#ifndef BOOST_NO_EXCEPTIONS
+      }
+      catch(const std::underflow_error&)
+      {
+         point = 0;
+      }
+      catch(const std::overflow_error&)
+      {
+         point = std::numeric_limits<value_type>::has_infinity ? 
+            std::numeric_limits<value_type>::infinity()
+            : tools::max_value<value_type>();
+      }
+      catch(const std::exception& e)
+      {
+         std::cerr << "Unexpected exception at entry: " << i << "\n";
+         std::cerr << e.what() << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Unexpected exception.");
+         // so we don't get further errors:
+         point = expect_func(row);
+      }
+#endif
+      value_type expected = expect_func(row);
+      value_type err = relative_error(point, expected);
+#ifdef BOOST_INSTRUMENT
+      if(err != 0)
+      {
+         std::cout << row[0] << " " << err;
+         if(std::numeric_limits<value_type>::is_specialized)
+         {
+            std::cout << " (" << err / std::numeric_limits<value_type>::epsilon() << "eps)";
+         }
+         std::cout << std::endl;
+      }
+#endif
+      if(!(boost::math::isfinite)(point) && (boost::math::isfinite)(expected))
+      {
+         std::cerr << "CAUTION: Found non-finite result, when a finite value was expected at entry " << i << "\n";
+         std::cerr << "Found: " << point << " Expected " << expected << " Error: " << err << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Unexpected non-finite result");
+      }
+      if(err > 0.5)
+      {
+         std::cerr << "CAUTION: Gross error found at entry " << i << ".\n";
+         std::cerr << "Found: " << point << " Expected " << expected << " Error: " << err << std::endl;
+         print_row(row, std::cerr);
+         BOOST_ERROR("Gross error");
+      }
+      result.add(err);
+      if((result.max)() == err)
+         result.set_worst(i);
+   }
+   return result;
+}
+
+template <class Val, class Exception>
+void test_check_throw(Val v, Exception e)
+{
+   BOOST_CHECK(errno);
+   errno = 0;
+}
+
+template <class Val>
+void test_check_throw(Val val, std::domain_error const* e)
+{
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   if(std::numeric_limits<Val>::has_quiet_NaN)
+   {
+      BOOST_CHECK((boost::math::isnan)(val));
+   }
+}
+
+template <class Val>
+void test_check_throw(Val v, std::overflow_error const* e)
+{
+   BOOST_CHECK(errno == ERANGE);
+   errno = 0;
+   BOOST_CHECK((v >= boost::math::tools::max_value<Val>()) || (v <= -boost::math::tools::max_value<Val>()));
+}
+
+template <class Val>
+void test_check_throw(Val v, boost::math::rounding_error const* e)
+{
+   BOOST_CHECK(errno == ERANGE);
+   errno = 0;
+   if(std::numeric_limits<Val>::is_specialized && std::numeric_limits<Val>::is_integer)
+   {
+      BOOST_CHECK((v == (std::numeric_limits<Val>::max)()) || (v == (std::numeric_limits<Val>::min)()));
+   }
+   else
+   {
+      BOOST_CHECK((v == boost::math::tools::max_value<Val>()) || (v == -boost::math::tools::max_value<Val>()));
+   }
+}
+
+} // namespace tools
+} // namespace math
+} // namespace boost
+
+
+  //
+  // exception-free testing support, ideally we'd only define this in our tests,
+  // but to keep things simple we really need it somewhere that's always included:
+  //
+#ifdef BOOST_NO_EXCEPTIONS
+#  define BOOST_MATH_CHECK_THROW(x, ExceptionType) boost::math::tools::test_check_throw(x, static_cast<ExceptionType const*>(0));
+#else
+#  define BOOST_MATH_CHECK_THROW(x, y) BOOST_CHECK_THROW(x, y)
+#endif
+
+#endif
+
+
diff --git a/src/boost/libs/math/include_private/boost/math/tools/test_data.hpp b/src/boost/libs/math/include_private/boost/math/tools/test_data.hpp
new file mode 100644
index 00000000..c2b37583
--- /dev/null
+++ b/src/boost/libs/math/include_private/boost/math/tools/test_data.hpp
@@ -0,0 +1,967 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_TEST_DATA_HPP
+#define BOOST_MATH_TOOLS_TEST_DATA_HPP
+
+#ifdef _MSC_VER
+#pragma once
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/assert.hpp>
+#ifdef BOOST_MSVC
+#  pragma warning(push)
+#  pragma warning(disable: 4127 4701 4512)
+#  pragma warning(disable: 4130) // '==' : logical operation on address of string constant.
+#endif
+#include <boost/algorithm/string/trim.hpp>
+#include <boost/lexical_cast.hpp>
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/type_traits/is_convertible.hpp>
+#include <boost/type_traits/integral_constant.hpp>
+#ifndef BOOST_NO_CXX11_HDR_RANDOM
+#include <random>
+namespace random_ns = std;
+#else
+#include <boost/random.hpp>
+namespace random_ns = boost::random;
+#endif
+#include <boost/math/tools/tuple.hpp>
+#include <boost/math/tools/real_cast.hpp>
+
+#include <set>
+#include <vector>
+#include <iostream>
+
+#ifdef BOOST_MSVC
+#  pragma warning(push)
+#  pragma warning(disable: 4130) // '==' : logical operation on address of string constant.
+// Used as a warning with BOOST_ASSERT
+#endif
+
+namespace boost{ namespace math{ namespace tools{
+
+enum parameter_type
+{
+   random_in_range = 0,
+   periodic_in_range = 1,
+   power_series = 2,
+   single_value = 3,
+   plus_minus_value = 4,
+   dummy_param = 0x80
+};
+
+parameter_type operator | (parameter_type a, parameter_type b)
+{
+   return static_cast<parameter_type>((int)a|(int)b);
+}
+parameter_type& operator |= (parameter_type& a, parameter_type b)
+{
+   a = static_cast<parameter_type>(a|b);
+   return a;
+}
+
+//
+// If type == random_in_range then
+// z1 and r2 are the endpoints of the half open range and n1 is the number of points.
+//
+// If type == periodic_in_range then
+// z1 and r2 are the endpoints of the half open range and n1 is the number of points.
+//
+// If type == power_series then
+// n1 and n2 are the endpoints of the exponents (closed range) and z1 is the basis.
+//
+// If type == single_value then z1 contains the single value to add.
+//
+// If type == plus_minus_value then test at +-z1
+//
+// If type & dummy_param then this data is ignored and not stored in the output, it
+// is passed to the generator function however which can do with it as it sees fit.
+//
+template <class T>
+struct parameter_info
+{
+   parameter_type type;
+   T z1, z2;
+   int n1, n2;
+};
+
+template <class T>
+inline parameter_info<T> make_random_param(T start_range, T end_range, int n_points)
+{
+   parameter_info<T> result = { random_in_range, start_range, end_range, n_points, 0 };
+   return result;
+}
+
+template <class T>
+inline parameter_info<T> make_periodic_param(T start_range, T end_range, int n_points)
+{
+   parameter_info<T> result = { periodic_in_range, start_range, end_range, n_points, 0 };
+   return result;
+}
+
+template <class T>
+inline parameter_info<T> make_power_param(T basis, int start_exponent, int end_exponent)
+{
+   parameter_info<T> result = { power_series, basis, 0, start_exponent, end_exponent };
+   return result;
+}
+
+template <class T>
+inline parameter_info<T> make_single_param(T val)
+{
+   parameter_info<T> result = { single_value, val };
+   return result;
+}
+
+template <class T>
+inline parameter_info<T> make_plus_minus_param(T val)
+{
+   parameter_info<T> result = { plus_minus_value, val };
+   return result;
+}
+
+namespace detail{
+
+template <class Seq, class Item, int N>
+inline void unpack_and_append_tuple(Seq&,
+                                    const Item&,
+                                    const boost::integral_constant<int, N>&,
+                                    const boost::false_type&)
+{
+   // termimation condition nothing to do here
+}
+
+template <class Seq, class Item, int N>
+inline void unpack_and_append_tuple(Seq& s,
+                                    const Item& data,
+                                    const boost::integral_constant<int, N>&,
+                                    const boost::true_type&)
+{
+   // extract the N'th element, append, and recurse:
+   typedef typename Seq::value_type value_type;
+   value_type val = boost::math::get<N>(data);
+   s.push_back(val);
+
+   typedef boost::integral_constant<int, N+1> next_value;
+   typedef boost::integral_constant<bool, (boost::math::tuple_size<Item>::value > N+1)> terminate;
+
+   unpack_and_append_tuple(s, data, next_value(), terminate());
+}
+
+template <class Seq, class Item>
+inline void unpack_and_append(Seq& s, const Item& data, const boost::true_type&)
+{
+   s.push_back(data);
+}
+
+template <class Seq, class Item>
+inline void unpack_and_append(Seq& s, const Item& data, const boost::false_type&)
+{
+   // Item had better be a tuple-like type or we've had it!!!!
+   typedef boost::integral_constant<int, 0> next_value;
+   typedef boost::integral_constant<bool, (boost::math::tuple_size<Item>::value > 0)> terminate;
+
+   unpack_and_append_tuple(s, data, next_value(), terminate());
+}
+
+template <class Seq, class Item>
+inline void unpack_and_append(Seq& s, const Item& data)
+{
+   typedef typename Seq::value_type value_type;
+   unpack_and_append(s, data, ::boost::is_convertible<Item, value_type>());
+}
+
+} // detail
+
+template <class T>
+class test_data
+{
+public:
+   typedef std::vector<T> row_type;
+   typedef row_type value_type;
+private:
+   typedef std::set<row_type> container_type;
+public:
+   typedef typename container_type::reference reference;
+   typedef typename container_type::const_reference const_reference;
+   typedef typename container_type::iterator iterator;
+   typedef typename container_type::const_iterator const_iterator;
+   typedef typename container_type::difference_type difference_type;
+   typedef typename container_type::size_type size_type;
+
+   // creation:
+   test_data(){}
+   template <class F>
+   test_data(F func, const parameter_info<T>& arg1)
+   {
+      insert(func, arg1);
+   }
+
+   // insertion:
+   template <class F>
+   test_data& insert(F func, const parameter_info<T>& arg1)
+   {
+      // generate data for single argument functor F
+
+      typedef typename std::set<T>::const_iterator it_type;
+
+      std::set<T> points;
+      create_test_points(points, arg1);
+      it_type a = points.begin();
+      it_type b = points.end();
+      row_type row;
+      while(a != b)
+      {
+         if((arg1.type & dummy_param) == 0)
+            row.push_back(*a);
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            // domain_error exceptions from func are swallowed
+            // and this data point is ignored:
+            boost::math::tools::detail::unpack_and_append(row, func(*a));
+            m_data.insert(row);
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const std::domain_error&){}
+#endif
+         row.clear();
+         ++a;
+      }
+      return *this;
+   }
+
+   template <class F>
+   test_data& insert(F func, const parameter_info<T>& arg1, const parameter_info<T>& arg2)
+   {
+      // generate data for 2-argument functor F
+
+      typedef typename std::set<T>::const_iterator it_type;
+
+      std::set<T> points1, points2;
+      create_test_points(points1, arg1);
+      create_test_points(points2, arg2);
+      it_type a = points1.begin();
+      it_type b = points1.end();
+      row_type row;
+      while(a != b)
+      {
+         it_type c = points2.begin();
+         it_type d = points2.end();
+         while(c != d)
+         {
+            if((arg1.type & dummy_param) == 0)
+               row.push_back(*a);
+            if((arg2.type & dummy_param) == 0)
+               row.push_back(*c);
+#ifndef BOOST_NO_EXCEPTIONS
+            try{
+#endif
+               // domain_error exceptions from func are swallowed
+               // and this data point is ignored:
+               detail::unpack_and_append(row, func(*a, *c));
+               m_data.insert(row);
+#ifndef BOOST_NO_EXCEPTIONS
+            }
+            catch(const std::domain_error&){}
+#endif
+            row.clear();
+            ++c;
+         }
+         ++a;
+      }
+      return *this;
+   }
+
+   template <class F>
+   test_data& insert(F func, const parameter_info<T>& arg1, const parameter_info<T>& arg2, const parameter_info<T>& arg3)
+   {
+      // generate data for 3-argument functor F
+
+      typedef typename std::set<T>::const_iterator it_type;
+
+      std::set<T> points1, points2, points3;
+      create_test_points(points1, arg1);
+      create_test_points(points2, arg2);
+      create_test_points(points3, arg3);
+      it_type a = points1.begin();
+      it_type b = points1.end();
+      row_type row;
+      while(a != b)
+      {
+         it_type c = points2.begin();
+         it_type d = points2.end();
+         while(c != d)
+         {
+            it_type e = points3.begin();
+            it_type f = points3.end();
+            while(e != f)
+            {
+               if((arg1.type & dummy_param) == 0)
+                  row.push_back(*a);
+               if((arg2.type & dummy_param) == 0)
+                  row.push_back(*c);
+               if((arg3.type & dummy_param) == 0)
+                  row.push_back(*e);
+#ifndef BOOST_NO_EXCEPTIONS
+               try{
+#endif
+                  // domain_error exceptions from func are swallowed
+                  // and this data point is ignored:
+                  detail::unpack_and_append(row, func(*a, *c, *e));
+                  m_data.insert(row);
+#ifndef BOOST_NO_EXCEPTIONS
+               }
+               catch(const std::domain_error&){}
+#endif
+               row.clear();
+               ++e;
+            }
+            ++c;
+         }
+         ++a;
+      }
+      return *this;
+   }
+
+   template <class F>
+   test_data& insert(F func, const parameter_info<T>& arg1, const parameter_info<T>& arg2, const parameter_info<T>& arg3, const parameter_info<T>& arg4)
+   {
+      // generate data for 4-argument functor F
+
+      typedef typename std::set<T>::const_iterator it_type;
+
+      std::set<T> points1, points2, points3, points4;
+      create_test_points(points1, arg1);
+      create_test_points(points2, arg2);
+      create_test_points(points3, arg3);
+      create_test_points(points4, arg4);
+      it_type a = points1.begin();
+      it_type b = points1.end();
+      row_type row;
+      while(a != b)
+      {
+         it_type c = points2.begin();
+         it_type d = points2.end();
+         while(c != d)
+         {
+            it_type e = points3.begin();
+            it_type f = points3.end();
+            while(e != f)
+            {
+               it_type g = points4.begin();
+               it_type h = points4.end();
+               while (g != h)
+               {
+                  if ((arg1.type & dummy_param) == 0)
+                     row.push_back(*a);
+                  if ((arg2.type & dummy_param) == 0)
+                     row.push_back(*c);
+                  if ((arg3.type & dummy_param) == 0)
+                     row.push_back(*e);
+                  if ((arg4.type & dummy_param) == 0)
+                     row.push_back(*g);
+#ifndef BOOST_NO_EXCEPTIONS
+                  try {
+#endif
+                     // domain_error exceptions from func are swallowed
+                     // and this data point is ignored:
+                     detail::unpack_and_append(row, func(*a, *c, *e, *g));
+                     m_data.insert(row);
+#ifndef BOOST_NO_EXCEPTIONS
+                  }
+                  catch (const std::domain_error&) {}
+#endif
+                  row.clear();
+                  ++g;
+               }
+               ++e;
+            }
+            ++c;
+         }
+         ++a;
+      }
+      return *this;
+   }
+
+   template <class F>
+   test_data& insert(F func, const parameter_info<T>& arg1, const parameter_info<T>& arg2, const parameter_info<T>& arg3, const parameter_info<T>& arg4, const parameter_info<T>& arg5)
+   {
+      // generate data for 5-argument functor F
+
+      typedef typename std::set<T>::const_iterator it_type;
+
+      std::set<T> points1, points2, points3, points4, points5;
+      create_test_points(points1, arg1);
+      create_test_points(points2, arg2);
+      create_test_points(points3, arg3);
+      create_test_points(points4, arg4);
+      create_test_points(points5, arg5);
+      it_type a = points1.begin();
+      it_type b = points1.end();
+      row_type row;
+      while(a != b)
+      {
+         it_type c = points2.begin();
+         it_type d = points2.end();
+         while(c != d)
+         {
+            it_type e = points3.begin();
+            it_type f = points3.end();
+            while(e != f)
+            {
+               it_type g = points4.begin();
+               it_type h = points4.end();
+               while (g != h)
+               {
+                  it_type i = points5.begin();
+                  it_type j = points5.end();
+                  while (i != j)
+                  {
+                     if ((arg1.type & dummy_param) == 0)
+                        row.push_back(*a);
+                     if ((arg2.type & dummy_param) == 0)
+                        row.push_back(*c);
+                     if ((arg3.type & dummy_param) == 0)
+                        row.push_back(*e);
+                     if ((arg4.type & dummy_param) == 0)
+                        row.push_back(*g);
+                     if ((arg5.type & dummy_param) == 0)
+                        row.push_back(*i);
+#ifndef BOOST_NO_EXCEPTIONS
+                     try {
+#endif
+                        // domain_error exceptions from func are swallowed
+                        // and this data point is ignored:
+                        detail::unpack_and_append(row, func(*a, *c, *e, *g, *i));
+                        m_data.insert(row);
+#ifndef BOOST_NO_EXCEPTIONS
+                     }
+                     catch (const std::domain_error&) {}
+#endif
+                     row.clear();
+                     ++i;
+                  }
+                  ++g;
+               }
+               ++e;
+            }
+            ++c;
+         }
+         ++a;
+      }
+      return *this;
+   }
+
+   void clear(){ m_data.clear(); }
+
+   // access:
+   iterator begin() { return m_data.begin(); }
+   iterator end() { return m_data.end(); }
+   const_iterator begin()const { return m_data.begin(); }
+   const_iterator end()const { return m_data.end(); }
+   bool operator==(const test_data& d)const{ return m_data == d.m_data; }
+   bool operator!=(const test_data& d)const{ return m_data != d.m_data; }
+   void swap(test_data& other){ m_data.swap(other.m_data); }
+   size_type size()const{ return m_data.size(); }
+   size_type max_size()const{ return m_data.max_size(); }
+   bool empty()const{ return m_data.empty(); }
+
+   bool operator < (const test_data& dat)const{ return m_data < dat.m_data; }
+   bool operator <= (const test_data& dat)const{ return m_data <= dat.m_data; }
+   bool operator > (const test_data& dat)const{ return m_data > dat.m_data; }
+   bool operator >= (const test_data& dat)const{ return m_data >= dat.m_data; }
+
+private:
+   void create_test_points(std::set<T>& points, const parameter_info<T>& arg1);
+   std::set<row_type> m_data;
+
+   static float extern_val;
+   static float truncate_to_float(float const * pf);
+   static float truncate_to_float(float c){ return truncate_to_float(&c); }
+};
+
+//
+// This code exists to bemuse the compiler's optimizer and force a
+// truncation to float-precision only:
+//
+template <class T>
+inline float test_data<T>::truncate_to_float(float const * pf)
+{
+   BOOST_MATH_STD_USING
+   int expon;
+   float f = floor(ldexp(frexp(*pf, &expon), 22));
+   f = ldexp(f, expon - 22);
+   return f;
+
+   //extern_val = *pf;
+   //return *pf;
+}
+
+template <class T>
+float test_data<T>::extern_val = 0;
+
+template <class T>
+void test_data<T>::create_test_points(std::set<T>& points, const parameter_info<T>& arg1)
+{
+   BOOST_MATH_STD_USING
+   //
+   // Generate a set of test points as requested, try and generate points
+   // at only float precision: otherwise when testing float versions of functions
+   // there will be a rounding error in our input values which throws off the results
+   // (Garbage in garbage out etc).
+   //
+   switch(arg1.type & 0x7F)
+   {
+   case random_in_range:
+      {
+         BOOST_ASSERT(arg1.z1 < arg1.z2);
+         BOOST_ASSERT(arg1.n1 > 0);
+         typedef float random_type;
+
+         random_ns::mt19937 rnd;
+         random_ns::uniform_real_distribution<random_type> ur_a(real_cast<random_type>(arg1.z1), real_cast<random_type>(arg1.z2));
+
+         for(int i = 0; i < arg1.n1; ++i)
+         {
+            random_type r = ur_a(rnd);
+            points.insert(truncate_to_float(r));
+         }
+     }
+      break;
+   case periodic_in_range:
+      {
+         BOOST_ASSERT(arg1.z1 < arg1.z2);
+         BOOST_ASSERT(arg1.n1 > 0);
+         float interval = real_cast<float>((arg1.z2 - arg1.z1) / arg1.n1);
+         T val = arg1.z1;
+         while(val < arg1.z2)
+         {
+            points.insert(truncate_to_float(real_cast<float>(val)));
+            val += interval;
+         }
+      }
+      break;
+   case power_series:
+      {
+         BOOST_ASSERT(arg1.n1 < arg1.n2);
+
+         typedef float random_type;
+         typedef typename boost::mpl::if_<
+            ::boost::is_floating_point<T>,
+            T, long double>::type power_type;
+
+         random_ns::mt19937 rnd;
+         random_ns::uniform_real_distribution<random_type> ur_a(1.0, 2.0);
+
+         for(int power = arg1.n1; power <= arg1.n2; ++power)
+         {
+            random_type r = ur_a(rnd);
+            power_type p = ldexp(static_cast<power_type>(r), power);
+            points.insert(truncate_to_float(real_cast<float>(arg1.z1 + p)));
+         }
+      }
+      break;
+   case single_value:
+   {
+      points.insert(truncate_to_float(real_cast<float>(arg1.z1)));
+      break;
+   }
+   case plus_minus_value:
+   {
+      points.insert(truncate_to_float(real_cast<float>(arg1.z1)));
+      points.insert(truncate_to_float(-real_cast<float>(arg1.z1)));
+      break;
+   }
+   default:
+      BOOST_ASSERT(0 == "Invalid parameter_info object");
+      // Assert will fail if get here.
+      // Triggers warning 4130) // '==' : logical operation on address of string constant.
+   }
+}
+
+//
+// Prompt a user for information on a parameter range:
+//
+template <class T>
+bool get_user_parameter_info(parameter_info<T>& info, const char* param_name)
+{
+#ifdef BOOST_MSVC
+#  pragma warning(push)
+#  pragma warning(disable: 4127)
+#endif
+   std::string line;
+   do{
+      std::cout << "What kind of distribution do you require for parameter " << param_name << "?\n"
+         "Choices are:\n"
+         "  r     Random values in a half open range\n"
+         "  p     Evenly spaced periodic values in a half open range\n"
+         "  e     Exponential power series at a particular point: a + 2^b for some range of b\n"
+         "[Default=r]";
+
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+
+      if(line == "r")
+      {
+         info.type = random_in_range;
+         break;
+      }
+      else if(line == "p")
+      {
+         info.type = periodic_in_range;
+         break;
+      }
+      else if(line == "e")
+      {
+         info.type = power_series;
+         break;
+      }
+      else if(line == "")
+      {
+         info.type = random_in_range;
+         break;
+      }
+      //
+      // Ooops, not a valid input....
+      //
+      std::cout << "Sorry don't recognise \"" << line << "\" as a valid input\n"
+         "do you want to try again [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      if(line == "n")
+         return false;
+      else if(line == "y")
+         continue;
+      std::cout << "Sorry don't recognise that either, giving up...\n\n";
+      return false;
+   }while(true);
+
+   switch(info.type & ~dummy_param)
+   {
+   case random_in_range:
+   case periodic_in_range:
+      // get start and end points of range:
+      do{
+         std::cout << "Data will be in the half open range a <= x < b,\n"
+            "enter value for the start point fo the range [default=0]:";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         if(line == "")
+         {
+            info.z1 = 0;
+            break;
+         }
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            info.z1 = boost::lexical_cast<T>(line);
+            break;
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const boost::bad_lexical_cast&)
+         {
+            std::cout << "Sorry, that was not valid input, try again [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+#endif
+      }while(true);
+      do{
+         std::cout << "Enter value for the end point fo the range [default=1]:";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         if(line == "")
+         {
+            info.z2 = 1;
+         }
+         else
+         {
+#ifndef BOOST_NO_EXCEPTIONS
+            try
+            {
+#endif
+               info.z2 = boost::lexical_cast<T>(line);
+#ifndef BOOST_NO_EXCEPTIONS
+            }
+            catch(const boost::bad_lexical_cast&)
+            {
+               std::cout << "Sorry, that was not valid input, try again [y/n]?";
+               std::getline(std::cin, line);
+               boost::algorithm::trim(line);
+               if(line == "y")
+                  continue;
+               if(line == "n")
+                  return false;
+               std::cout << "Sorry don't recognise that either, giving up...\n\n";
+               return false;
+            }
+#endif
+         }
+         if(info.z1 >= info.z2)
+         {
+            std::cout << "The end point of the range was <= the start point\n"
+               "try a different value for the endpoint [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+         break;
+      }while(true);
+      do{
+         // get the number of points:
+         std::cout << "How many data points do you want?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            info.n1 = boost::lexical_cast<int>(line);
+            info.n2 = 0;
+            if(info.n1 <= 0)
+            {
+               std::cout << "The number of points should be > 0\n"
+                  "try again [y/n]?";
+               std::getline(std::cin, line);
+               boost::algorithm::trim(line);
+               if(line == "y")
+                  continue;
+               if(line == "n")
+                  return false;
+               std::cout << "Sorry don't recognise that either, giving up...\n\n";
+               return false;
+            }
+            break;
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const boost::bad_lexical_cast&)
+         {
+            std::cout << "Sorry, that was not valid input, try again [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+#endif
+      }while(true);
+      break;
+   case power_series:
+      // get start and end points of range:
+      info.z2 = 0;
+      do{
+         std::cout << "Data will be in the form a + r*2^b\n"
+            "for random value r,\n"
+            "enter value for the point a [default=0]:";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         if(line == "")
+         {
+            info.z1 = 0;
+            break;
+         }
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            info.z1 = boost::lexical_cast<T>(line);
+            break;
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const boost::bad_lexical_cast&)
+         {
+            std::cout << "Sorry, that was not valid input, try again [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+#endif
+      }while(true);
+
+      do{
+         std::cout << "Data will be in the form a + r*2^b\n"
+            "for random value r,\n"
+            "enter value for the starting exponent b:";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            info.n1 = boost::lexical_cast<int>(line);
+            break;
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const boost::bad_lexical_cast&)
+         {
+            std::cout << "Sorry, that was not valid input, try again [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+#endif
+      }while(true);
+
+      do{
+         std::cout << "Data will be in the form a + r*2^b\n"
+            "for random value r,\n"
+            "enter value for the ending exponent b:";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            info.n2 = boost::lexical_cast<int>(line);
+            break;
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const boost::bad_lexical_cast&)
+         {
+            std::cout << "Sorry, that was not valid input, try again [y/n]?";
+            std::getline(std::cin, line);
+            boost::algorithm::trim(line);
+            if(line == "y")
+               continue;
+            if(line == "n")
+               return false;
+            std::cout << "Sorry don't recognise that either, giving up...\n\n";
+            return false;
+         }
+#endif
+      }while(true);
+
+      break;
+   default:
+      BOOST_ASSERT(0); // should never get here!!
+   }
+
+   return true;
+#ifdef BOOST_MSVC
+#  pragma warning(pop)
+#endif
+}
+
+template <class charT, class traits, class T>
+inline std::basic_ostream<charT, traits>& write_csv(std::basic_ostream<charT, traits>& os,
+                                             const test_data<T>& data)
+{
+   const charT defarg[] = { ',', ' ', '\0' };
+   return write_csv(os, data, defarg);
+}
+
+template <class charT, class traits, class T>
+std::basic_ostream<charT, traits>& write_csv(std::basic_ostream<charT, traits>& os,
+                                             const test_data<T>& data,
+                                             const charT* separator)
+{
+   typedef typename test_data<T>::const_iterator it_type;
+   typedef typename test_data<T>::value_type value_type;
+   typedef typename value_type::const_iterator value_type_iterator;
+   it_type a, b;
+   a = data.begin();
+   b = data.end();
+   while(a != b)
+   {
+      value_type_iterator x, y;
+      bool sep = false;
+      x = a->begin();
+      y = a->end();
+      while(x != y)
+      {
+         if(sep)
+            os << separator;
+         os << *x;
+         sep = true;
+         ++x;
+      }
+      os << std::endl;
+      ++a;
+   }
+   return os;
+}
+
+template <class T>
+std::ostream& write_code(std::ostream& os,
+                         const test_data<T>& data,
+                         const char* name)
+{
+   typedef typename test_data<T>::const_iterator it_type;
+   typedef typename test_data<T>::value_type value_type;
+   typedef typename value_type::const_iterator value_type_iterator;
+
+   BOOST_ASSERT(os.good());
+
+   it_type a, b;
+   a = data.begin();
+   b = data.end();
+   if(a == b)
+      return os;
+
+   os << "#ifndef SC_\n#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))\n#endif\n"
+   "   static const boost::array<boost::array<T, "
+   << a->size() << ">, " << data.size() << "> " << name << " = {{\n";
+
+   while(a != b)
+   {
+      if(a != data.begin())
+         os << ", \n";
+
+      value_type_iterator x, y;
+      x = a->begin();
+      y = a->end();
+      os << "      { ";
+      while(x != y)
+      {
+         if(x != a->begin())
+            os << ", ";
+         os << "SC_(" << *x << ")";
+         ++x;
+      }
+      os << " }";
+      ++a;
+   }
+   os << "\n   }};\n//#undef SC_\n\n";
+   return os;
+}
+
+} // namespace tools
+} // namespace math
+} // namespace boost
+
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+
+
+#endif // BOOST_MATH_TOOLS_TEST_DATA_HPP
+
+
diff --git a/src/boost/libs/math/index.html b/src/boost/libs/math/index.html
new file mode 100644
index 00000000..bc441655
--- /dev/null
+++ b/src/boost/libs/math/index.html
@@ -0,0 +1,14 @@
+<html>
+<head>
+<meta http-equiv="refresh" content="0; URL=doc/html/index.html">
+</head>
+<body>
+Automatic redirection failed, please go to
+<a href="doc/html/index.html">doc/html/index.html</a>.
+      <P>Copyright Daryle Walker, Hubert Holin and John Maddock 2006</P>
+      <P>Distributed under the Boost Software License, Version 1.0. (See accompanying file <A href="../../LICENSE_1_0.txt">
+            LICENSE_1_0.txt</A> or copy at <A href="http://www.boost.org/LICENSE_1_0.txt">www.boost.org/LICENSE_1_0.txt</A>).</P>
+</body>
+</html>
+
+
diff --git a/src/boost/libs/math/meta/libraries.json b/src/boost/libs/math/meta/libraries.json
new file mode 100644
index 00000000..a00c9ef5
--- /dev/null
+++ b/src/boost/libs/math/meta/libraries.json
@@ -0,0 +1,81 @@
+[
+    {
+        "key": "math",
+        "name": "Math",
+        "authors": [
+            "various"
+        ],
+        "description": "Boost.Math includes several contributions in the domain of mathematics: The Greatest Common Divisor and Least Common Multiple library provides run-time and compile-time evaluation of the greatest common divisor (GCD) or least common multiple (LCM) of two integers. The Special Functions library currently provides eight templated special functions, in namespace boost. The Complex Number Inverse Trigonometric Functions are the inverses of trigonometric functions currently present in the C++ standard. Quaternions are a relative of complex numbers often used to parameterise rotations in three dimentional space. Octonions, like quaternions, are a relative of complex numbers.",
+        "category": [
+            "Math"
+        ],
+        "maintainers": [
+            "Hubert Holin <Hubert.Holin -at- meteo.fr>",
+            "John Maddock <john -at- johnmaddock.co.uk>"
+        ]
+    },
+    {
+        "key": "math/common_factor",
+        "name": "Math Common Factor",
+        "authors": [
+            "Daryle Walker"
+        ],
+        "description": "Greatest common divisor and least common multiple.",
+        "documentation": "doc/html/gcd_lcm.html",
+        "category": [
+            "Math"
+        ]
+    },
+    {
+        "key": "math/octonion",
+        "name": "Math Octonion",
+        "authors": [
+            "Hubert Holin"
+        ],
+        "description": "Octonions.",
+        "documentation": "doc/html/octonions.html",
+        "category": [
+            "Math"
+        ]
+    },
+    {
+        "key": "math/quaternion",
+        "name": "Math Quaternion",
+        "authors": [
+            "Hubert Holin"
+        ],
+        "description": "Quaternions.",
+        "documentation": "doc/html/quaternions.html",
+        "category": [
+            "Math"
+        ]
+    },
+    {
+        "key": "math/special_functions",
+        "name": "Math/Special Functions",
+        "authors": [
+            "John Maddock",
+            "Paul Bristow",
+            "Hubert Holin",
+            "Xiaogang Zhang"
+        ],
+        "description": "A wide selection of mathematical special functions.",
+        "documentation": "doc/html/special.html",
+        "category": [
+            "Math"
+        ]
+    },
+    {
+        "key": "math/statistical_distributions",
+        "name": "Math/Statistical Distributions",
+        "authors": [
+            "John Maddock",
+            "Paul Bristow"
+        ],
+        "description": "A wide selection of univariate statistical distributions and functions that operate on them.",
+        "documentation": "doc/html/dist.html",
+        "category": [
+            "Math"
+        ]
+    }
+]
diff --git a/src/boost/libs/math/minimax/Jamfile.v2 b/src/boost/libs/math/minimax/Jamfile.v2
new file mode 100644
index 00000000..81790f9a
--- /dev/null
+++ b/src/boost/libs/math/minimax/Jamfile.v2
@@ -0,0 +1,46 @@
+# Copyright John Maddock 2010
+# Copyright Paul A. Bristow 2018
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\minimax\jamfile.v2
+# Runs minimax using multiprecision, (rather than gmp and mpfr)
+
+# bring in the rules for testing.
+import modules ;
+import path ;
+
+project
+    : requirements
+      <toolset>gcc:<cxxflags>-Wno-missing-braces
+      <toolset>darwin:<cxxflags>-Wno-missing-braces
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo
+      <toolset>intel-win:<linkflags>-nologo
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4512
+      <toolset>msvc:<cxxflags>/wd4610
+      <toolset>msvc:<cxxflags>/wd4510
+      <toolset>msvc:<cxxflags>/wd4127
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <link>static
+      <toolset>borland:<runtime-link>static
+      <include>../../..
+      <define>BOOST_ALL_NO_LIB=1
+      <define>BOOST_UBLAS_UNSUPPORTED_COMPILER=0
+      <include>.
+      <include>../include_private
+      #<include>$(ntl-path)/include
+    ;
+
+#lib mpfr : gmp : <name>mpfr ;
+
+#lib gmp : : <name>gmp ;
+
+# exe minimax : f.cpp main.cpp gmp mpfr ;
+exe minimax : f.cpp main.cpp ;
+
+install bin : minimax ;
+
diff --git a/src/boost/libs/math/minimax/f.cpp b/src/boost/libs/math/minimax/f.cpp
new file mode 100644
index 00000000..6ea40580
--- /dev/null
+++ b/src/boost/libs/math/minimax/f.cpp
@@ -0,0 +1,404 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define L22
+//#include "../tools/ntl_rr_lanczos.hpp"
+//#include "../tools/ntl_rr_digamma.hpp"
+#include "multiprecision.hpp"
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/math/special_functions.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/lambert_w.hpp>
+
+#include <cmath>
+
+
+mp_type f(const mp_type& x, int variant)
+{
+   static const mp_type tiny = boost::math::tools::min_value<mp_type>() * 64;
+   switch(variant)
+   {
+   case 0:
+      {
+      mp_type x_ = sqrt(x == 0 ? 1e-80 : x);
+      return boost::math::erf(x_) / x_;
+      }
+   case 1:
+      {
+      mp_type x_ = 1 / x;
+      return boost::math::erfc(x_) * x_ / exp(-x_ * x_);
+      }
+   case 2:
+      {
+      return boost::math::erfc(x) * x / exp(-x * x);
+      }
+   case 3:
+      {
+         mp_type y(x);
+         if(y == 0) 
+            y += tiny;
+         return boost::math::lgamma(y+2) / y - 0.5;
+      }
+   case 4:
+      //
+      // lgamma in the range [2,3], use:
+      //
+      // lgamma(x) = (x-2) * (x + 1) * (c + R(x - 2))
+      //
+      // Works well at 80-bit long double precision, but doesn't
+      // stretch to 128-bit precision.
+      //
+      if(x == 0)
+      {
+         return boost::lexical_cast<mp_type>("0.42278433509846713939348790991759756895784066406008") / 3;
+      }
+      return boost::math::lgamma(x+2) / (x * (x+3));
+   case 5:
+      {
+         //
+         // lgamma in the range [1,2], use:
+         //
+         // lgamma(x) = (x - 1) * (x - 2) * (c + R(x - 1))
+         //
+         // works well over [1, 1.5] but not near 2 :-(
+         //
+         mp_type r1 = boost::lexical_cast<mp_type>("0.57721566490153286060651209008240243104215933593992");
+         mp_type r2 = boost::lexical_cast<mp_type>("0.42278433509846713939348790991759756895784066406008");
+         if(x == 0)
+         {
+            return r1;
+         }
+         if(x == 1)
+         {
+            return r2;
+         }
+         return boost::math::lgamma(x+1) / (x * (x - 1));
+      }
+   case 6:
+      {
+         //
+         // lgamma in the range [1.5,2], use:
+         //
+         // lgamma(x) = (2 - x) * (1 - x) * (c + R(2 - x))
+         //
+         // works well over [1.5, 2] but not near 1 :-(
+         //
+         mp_type r1 = boost::lexical_cast<mp_type>("0.57721566490153286060651209008240243104215933593992");
+         mp_type r2 = boost::lexical_cast<mp_type>("0.42278433509846713939348790991759756895784066406008");
+         if(x == 0)
+         {
+            return r2;
+         }
+         if(x == 1)
+         {
+            return r1;
+         }
+         return boost::math::lgamma(2-x) / (x * (x - 1));
+      }
+   case 7:
+      {
+         //
+         // erf_inv in range [0, 0.5]
+         //
+         mp_type y = x;
+         if(y == 0)
+            y = boost::math::tools::epsilon<mp_type>() / 64;
+         return boost::math::erf_inv(y) / (y * (y+10));
+      }
+   case 8:
+      {
+         // 
+         // erfc_inv in range [0.25, 0.5]
+         // Use an y-offset of 0.25, and range [0, 0.25]
+         // abs error, auto y-offset.
+         //
+         mp_type y = x;
+         if(y == 0)
+            y = boost::lexical_cast<mp_type>("1e-5000");
+         return sqrt(-2 * log(y)) / boost::math::erfc_inv(y);
+      }
+   case 9:
+      {
+         mp_type x2 = x;
+         if(x2 == 0)
+            x2 = boost::lexical_cast<mp_type>("1e-5000");
+         mp_type y = exp(-x2*x2); // sqrt(-log(x2)) - 5;
+         return boost::math::erfc_inv(y) / x2;
+      }
+   case 10:
+      {
+         //
+         // Digamma over the interval [1,2], set x-offset to 1
+         // and optimise for absolute error over [0,1].
+         //
+         int current_precision = get_working_precision();
+         if(current_precision < 1000)
+            set_working_precision(1000);
+         //
+         // This value for the root of digamma is calculated using our
+         // differentiated lanczos approximation.  It agrees with Cody
+         // to ~ 25 digits and to Morris to 35 digits.  See:
+         // TOMS ALGORITHM 708 (Didonato and Morris).
+         // and Math. Comp. 27, 123-127 (1973) by Cody, Strecok and Thacher.
+         //
+         //mp_type root = boost::lexical_cast<mp_type>("1.4616321449683623412626595423257213234331845807102825466429633351908372838889871");
+         //
+         // Actually better to calculate the root on the fly, it appears to be more
+         // accurate: convergence is easier with the 1000-bit value, the approximation
+         // produced agrees with functions.mathworld.com values to 35 digits even quite
+         // near the root.
+         //
+         static boost::math::tools::eps_tolerance<mp_type> tol(1000);
+         static boost::uintmax_t max_iter = 1000;
+         mp_type (*pdg)(mp_type) = &boost::math::digamma;
+         static const mp_type root = boost::math::tools::bracket_and_solve_root(pdg, mp_type(1.4), mp_type(1.5), true, tol, max_iter).first;
+
+         mp_type x2 = x;
+         double lim = 1e-65;
+         if(fabs(x2 - root) < lim)
+         {
+            //
+            // This is a problem area:
+            // x2-root suffers cancellation error, so does digamma.
+            // That gets compounded again when Remez calculates the error
+            // function.  This cludge seems to stop the worst of the problems:
+            //
+            static const mp_type a = boost::math::digamma(root - lim) / -lim;
+            static const mp_type b = boost::math::digamma(root + lim) / lim;
+            mp_type fract = (x2 - root + lim) / (2*lim);
+            mp_type r = (1-fract) * a + fract * b;
+            std::cout << "In root area: " << r;
+            return r;
+         }
+         mp_type result =  boost::math::digamma(x2) / (x2 - root);
+         if(current_precision < 1000)
+            set_working_precision(current_precision);
+         return result;
+      }
+   case 11:
+      // expm1:
+      if(x == 0)
+      {
+         static mp_type lim = 1e-80;
+         static mp_type a = boost::math::expm1(-lim);
+         static mp_type b = boost::math::expm1(lim);
+         static mp_type l = (b-a) / (2 * lim);
+         return l;
+      }
+      return boost::math::expm1(x) / x;
+   case 12:
+      // demo, and test case:
+      return exp(x);
+   case 13:
+      // K(k):
+      {
+      return boost::math::ellint_1(x);
+      }
+   case 14:
+      // K(k)
+      {
+      return boost::math::ellint_1(1-x) / log(x);
+   }
+   case 15:
+      // E(k)
+      {
+         // x = 1-k^2
+         mp_type z = 1 - x * log(x);
+         return boost::math::ellint_2(sqrt(1-x)) / z;
+      }
+   case 16:
+      // Bessel I0(x) over [0,16]:
+      {
+         return boost::math::cyl_bessel_i(0, sqrt(x));
+      }
+   case 17:
+      // Bessel I0(x) over [16,INF]
+      {
+         mp_type z = 1 / (mp_type(1)/16 - x);
+         return boost::math::cyl_bessel_i(0, z) * sqrt(z) / exp(z);
+      }
+   case 18:
+      // Zeta over [0, 1]
+      {
+         return boost::math::zeta(1 - x) * x - x;
+      }
+   case 19:
+      // Zeta over [1, n]
+      {
+         return boost::math::zeta(x) - 1 / (x - 1);
+      }
+   case 20:
+      // Zeta over [a, b] : a >> 1
+      {
+         return log(boost::math::zeta(x) - 1);
+      }
+   case 21:
+      // expint[1] over [0,1]:
+      {
+         mp_type tiny = boost::lexical_cast<mp_type>("1e-5000");
+         mp_type z = (x <= tiny) ? tiny : x;
+         return boost::math::expint(1, z) - z + log(z);
+      }
+   case 22:
+      // expint[1] over [1,N],
+      // Note that x varies from [0,1]:
+      {
+         mp_type z = 1 / x;
+         return boost::math::expint(1, z) * exp(z) * z;
+      }
+   case 23:
+      // expin Ei over [0,R]
+      {
+         static const mp_type root = 
+            boost::lexical_cast<mp_type>("0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392");
+         mp_type z = x < (std::numeric_limits<long double>::min)() ? (std::numeric_limits<long double>::min)() : x;
+         return (boost::math::expint(z) - log(z / root)) / (z - root);
+      }
+   case 24:
+      // Expint Ei for large x:
+      {
+         static const mp_type root = 
+            boost::lexical_cast<mp_type>("0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392");
+         mp_type z = x < (std::numeric_limits<long double>::min)() ? (std::numeric_limits<long double>::max)() : mp_type(1 / x);
+         return (boost::math::expint(z) - z) * z * exp(-z);
+         //return (boost::math::expint(z) - log(z)) * z * exp(-z);
+      }
+   case 25:
+      // Expint Ei for large x:
+      {
+         return (boost::math::expint(x) - x) * x * exp(-x);
+      }
+   case 26:
+      {
+         //
+         // erf_inv in range [0, 0.5]
+         //
+         mp_type y = x;
+         if(y == 0)
+            y = boost::math::tools::epsilon<mp_type>() / 64;
+         y = sqrt(y);
+         return boost::math::erf_inv(y) / (y);
+      }
+   case 28:
+      {
+         // log1p over [-0.5,0.5]
+         mp_type y = x;
+         if(fabs(y) < 1e-100)
+            y = (y == 0) ? 1e-100 : boost::math::sign(y) * 1e-100;
+         return (boost::math::log1p(y) - y + y * y / 2) / (y);
+      }
+   case 29:
+      {
+         // cbrt over [0.5, 1]
+         return boost::math::cbrt(x);
+      }
+   case 30:
+   {
+      // trigamma over [x,y]
+      mp_type y = x;
+      y = sqrt(y);
+      return boost::math::trigamma(x) * (x * x);
+   }
+   case 31:
+   {
+      // trigamma over [x, INF]
+      if(x == 0) return 1;
+      mp_type y = (x == 0) ? (std::numeric_limits<double>::max)() / 2 : mp_type(1/x);
+      return boost::math::trigamma(y) * y;
+   }
+   case 32:
+   {
+      // I0 over [N, INF]
+      // Don't need to go past x = 1/1000 = 1e-3 for double, or
+      // 1/15000 = 0.0006 for long double, start at 1/7.75=0.13
+      mp_type arg = 1 / x;
+      return sqrt(arg) * exp(-arg) * boost::math::cyl_bessel_i(0, arg);
+   }
+   case 33:
+   {
+      // I0 over [0, N]
+      mp_type xx = sqrt(x) * 2;
+      return (boost::math::cyl_bessel_i(0, xx) - 1) / x;
+   }
+   case 34:
+   {
+      // I1 over [0, N]
+      mp_type xx = sqrt(x) * 2;
+      return (boost::math::cyl_bessel_i(1, xx) * 2 / xx - 1 - x / 2) / (x * x);
+   }
+   case 35:
+   {
+      // I1 over [N, INF]
+      mp_type xx = 1 / x;
+      return boost::math::cyl_bessel_i(1, xx) * sqrt(xx) * exp(-xx);
+   }
+   case 36:
+   {
+      // K0 over [0, 1]
+      mp_type xx = sqrt(x);
+      return boost::math::cyl_bessel_k(0, xx) + log(xx) * boost::math::cyl_bessel_i(0, xx);
+   }
+   case 37:
+   {
+      // K0 over [1, INF]
+      mp_type xx = 1 / x;
+      return boost::math::cyl_bessel_k(0, xx) * exp(xx) * sqrt(xx);
+   }
+   case 38:
+   {
+      // K1 over [0, 1]
+      mp_type xx = sqrt(x);
+      return (boost::math::cyl_bessel_k(1, xx) - log(xx) * boost::math::cyl_bessel_i(1, xx) - 1 / xx) / xx;
+   }
+   case 39:
+   {
+      // K1 over [1, INF]
+      mp_type xx = 1 / x;
+      return boost::math::cyl_bessel_k(1, xx) * sqrt(xx) * exp(xx);
+   }
+   // Lambert W0
+   case 40:
+      return boost::math::lambert_w0(x);
+   case 41:
+   {
+      if (x == 0)
+         return 1;
+      return boost::math::lambert_w0(x) / x;
+   }
+   case 42:
+   {
+      static const mp_type e1 = exp(mp_type(-1));
+      return x / -boost::math::lambert_w0(-e1 + x);
+   }
+   case 43:
+   {
+      mp_type xx = 1 / x;
+      return 1 / boost::math::lambert_w0(xx);
+   }
+   case 44:
+   {
+      mp_type ex = exp(x);
+      return boost::math::lambert_w0(ex) - x;
+   }
+   }
+   return 0;
+}
+
+void show_extra(
+   const boost::math::tools::polynomial<mp_type>& n, 
+   const boost::math::tools::polynomial<mp_type>& d, 
+   const mp_type& x_offset, 
+   const mp_type& y_offset, 
+   int variant)
+{
+   switch(variant)
+   {
+   default:
+      // do nothing here...
+      ;
+   }
+}
+
diff --git a/src/boost/libs/math/minimax/main.cpp b/src/boost/libs/math/minimax/main.cpp
new file mode 100644
index 00000000..6ff01876
--- /dev/null
+++ b/src/boost/libs/math/minimax/main.cpp
@@ -0,0 +1,650 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE foobar
+#define BOOST_UBLAS_TYPE_CHECK_EPSILON (type_traits<real_type>::type_sqrt (boost::math::tools::epsilon <real_type>()))
+#define BOOST_UBLAS_TYPE_CHECK_MIN (type_traits<real_type>::type_sqrt ( boost::math::tools::min_value<real_type>()))
+#define BOOST_UBLAS_NDEBUG
+
+#include "multiprecision.hpp"
+
+#include <boost/math/tools/remez.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/special_functions/binomial.hpp>
+#include <boost/spirit/include/classic_core.hpp>
+#include <boost/spirit/include/classic_actor.hpp>
+#include <boost/lexical_cast.hpp>
+#include <iostream>
+#include <iomanip>
+#include <string>
+#include <boost/test/included/unit_test.hpp> // for test_main
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+
+extern mp_type f(const mp_type& x, int variant);
+extern void show_extra(
+   const boost::math::tools::polynomial<mp_type>& n, 
+   const boost::math::tools::polynomial<mp_type>& d, 
+   const mp_type& x_offset, 
+   const mp_type& y_offset, 
+   int variant);
+
+using namespace boost::spirit::classic;
+
+mp_type a(0), b(1);   // range to optimise over
+bool rel_error(true);
+bool pin(false);
+int orderN(3);
+int orderD(1);
+int target_precision = boost::math::tools::digits<long double>();
+int working_precision = target_precision * 2;
+bool started(false);
+int variant(0);
+int skew(0);
+int brake(50);
+mp_type x_offset(0), y_offset(0), x_scale(1);
+bool auto_offset_y;
+
+boost::shared_ptr<boost::math::tools::remez_minimax<mp_type> > p_remez;
+
+mp_type the_function(const mp_type& val)
+{
+   return f(x_scale * (val + x_offset), variant) + y_offset;
+}
+
+void step_some(unsigned count)
+{
+   try{
+      set_working_precision(working_precision);
+      if(!started)
+      {
+         //
+         // If we have an automatic y-offset calculate it now:
+         //
+         if(auto_offset_y)
+         {
+            mp_type fa, fb, fm;
+            fa = f(x_scale * (a + x_offset), variant);
+            fb = f(x_scale * (b + x_offset), variant);
+            fm = f(x_scale * ((a+b)/2 + x_offset), variant);
+            y_offset = -(fa + fb + fm) / 3;
+            set_output_precision(5);
+            std::cout << "Setting auto-y-offset to " << y_offset << std::endl;
+         }
+         //
+         // Truncate offsets to float precision:
+         //
+         x_offset = round_to_precision(x_offset, 20);
+         y_offset = round_to_precision(y_offset, 20);
+         //
+         // Construct new Remez state machine:
+         //
+         p_remez.reset(new boost::math::tools::remez_minimax<mp_type>(
+            &the_function, 
+            orderN, orderD, 
+            a, b, 
+            pin, 
+            rel_error, 
+            skew, 
+            working_precision));
+         std::cout << "Max error in interpolated form: " << std::setprecision(3) << std::scientific << boost::math::tools::real_cast<double>(p_remez->max_error()) << std::endl;
+         //
+         // Signal that we've started:
+         //
+         started = true;
+      }
+      unsigned i;
+      for(i = 0; i < count; ++i)
+      {
+         std::cout << "Stepping..." << std::endl;
+         p_remez->set_brake(brake);
+         mp_type r = p_remez->iterate();
+         set_output_precision(3);
+         std::cout 
+            << "Maximum Deviation Found:                     " << std::setprecision(3) << std::scientific << boost::math::tools::real_cast<double>(p_remez->max_error()) << std::endl
+            << "Expected Error Term:                         " << std::setprecision(3) << std::scientific << boost::math::tools::real_cast<double>(p_remez->error_term()) << std::endl
+            << "Maximum Relative Change in Control Points:   " << std::setprecision(3) << std::scientific << boost::math::tools::real_cast<double>(r) << std::endl;
+      }
+   }
+   catch(const std::exception& e)
+   {
+      std::cout << "Step failed with exception: " << e.what() << std::endl;
+   }
+}
+
+void step(const char*, const char*)
+{
+   step_some(1);
+}
+
+void show(const char*, const char*)
+{
+   set_working_precision(working_precision);
+   if(started)
+   {
+      boost::math::tools::polynomial<mp_type> n = p_remez->numerator();
+      boost::math::tools::polynomial<mp_type> d = p_remez->denominator();
+      std::vector<mp_type> cn = n.chebyshev();
+      std::vector<mp_type> cd = d.chebyshev();
+      int prec = 2 + (target_precision * 3010LL)/10000;
+      std::cout << std::scientific << std::setprecision(prec);
+      set_output_precision(prec);
+      boost::numeric::ublas::vector<mp_type> v = p_remez->zero_points();
+      
+      std::cout << "  Zeros = {\n";
+      unsigned i;
+      for(i = 0; i < v.size(); ++i)
+      {
+         std::cout << "    " << v[i] << std::endl;
+      }
+      std::cout << "  }\n";
+
+      v = p_remez->chebyshev_points();
+      std::cout << "  Chebeshev Control Points = {\n";
+      for(i = 0; i < v.size(); ++i)
+      {
+         std::cout << "    " << v[i] << std::endl;
+      }
+      std::cout << "  }\n";
+
+      std::cout << "X offset: " << x_offset << std::endl;
+      std::cout << "X scale:  " << x_scale << std::endl;
+      std::cout << "Y offset: " << y_offset << std::endl;
+
+      std::cout << "P = {";
+      for(i = 0; i < n.size(); ++i)
+      {
+         std::cout << "    " << n[i] << "L," << std::endl;
+      }
+      std::cout << "  }\n";
+
+      std::cout << "Q = {";
+      for(i = 0; i < d.size(); ++i)
+      {
+         std::cout << "    " << d[i] << "L," << std::endl;
+      }
+      std::cout << "  }\n";
+
+      std::cout << "CP = {";
+      for(i = 0; i < cn.size(); ++i)
+      {
+         std::cout << "    " << cn[i] << "L," << std::endl;
+      }
+      std::cout << "  }\n";
+
+      std::cout << "CQ = {";
+      for(i = 0; i < cd.size(); ++i)
+      {
+         std::cout << "    " << cd[i] << "L," << std::endl;
+      }
+      std::cout << "  }\n";
+
+      show_extra(n, d, x_offset, y_offset, variant);
+   }
+   else
+   {
+      std::cerr << "Nothing to display" << std::endl;
+   }
+}
+
+void do_graph(unsigned points)
+{
+   set_working_precision(working_precision);
+   mp_type step = (b - a) / (points - 1);
+   mp_type x = a;
+   while(points > 1)
+   {
+      set_output_precision(10);
+      std::cout << std::setprecision(10) << std::setw(30) << std::left 
+         << boost::lexical_cast<std::string>(x) << the_function(x) << std::endl;
+      --points;
+      x += step;
+   }
+   std::cout << std::setprecision(10) << std::setw(30) << std::left 
+      << boost::lexical_cast<std::string>(b) << the_function(b) << std::endl;
+}
+
+void graph(const char*, const char*)
+{
+   do_graph(3);
+}
+
+template <class T>
+mp_type convert_to_rr(const T& val)
+{
+   return val;
+}
+template <class Backend, boost::multiprecision::expression_template_option ET>
+mp_type convert_to_rr(const boost::multiprecision::number<Backend, ET>& val)
+{
+   return boost::lexical_cast<mp_type>(val.str());
+}
+
+template <class T>
+void do_test(T, const char* name)
+{
+   set_working_precision(working_precision);
+   if(started)
+   {
+      //
+      // We want to test the approximation at fixed precision:
+      // either float, double or long double.  Begin by getting the
+      // polynomials:
+      //
+      boost::math::tools::polynomial<T> n, d;
+      boost::math::tools::polynomial<mp_type> nr, dr;
+      nr = p_remez->numerator();
+      dr = p_remez->denominator();
+      n = nr;
+      d = dr;
+
+      std::vector<mp_type> cn1, cd1;
+      cn1 = nr.chebyshev();
+      cd1 = dr.chebyshev();
+      std::vector<T> cn, cd;
+      for(unsigned i = 0; i < cn1.size(); ++i)
+      {
+         cn.push_back(boost::math::tools::real_cast<T>(cn1[i]));
+      }
+      for(unsigned i = 0; i < cd1.size(); ++i)
+      {
+         cd.push_back(boost::math::tools::real_cast<T>(cd1[i]));
+      }
+      //
+      // We'll test at the Chebeshev control points which is where
+      // (in theory) the largest deviation should occur.  For good
+      // measure we'll test at the zeros as well:
+      //
+      boost::numeric::ublas::vector<mp_type> 
+         zeros(p_remez->zero_points()),
+         cheb(p_remez->chebyshev_points());
+
+      mp_type max_error(0), cheb_max_error(0);
+
+      //
+      // Do the tests at the zeros:
+      //
+      std::cout << "Starting tests at " << name << " precision...\n";
+      std::cout << "Absissa        Error (Poly)   Error (Cheb)\n";
+      for(unsigned i = 0; i < zeros.size(); ++i)
+      {
+         mp_type true_result = the_function(zeros[i]);
+         T absissa = boost::math::tools::real_cast<T>(zeros[i]);
+         mp_type test_result = convert_to_rr(n.evaluate(absissa) / d.evaluate(absissa));
+         mp_type cheb_result = convert_to_rr(boost::math::tools::evaluate_chebyshev(cn, absissa) / boost::math::tools::evaluate_chebyshev(cd, absissa));
+         mp_type err, cheb_err;
+         if(rel_error)
+         {
+            err = boost::math::tools::relative_error(test_result, true_result);
+            cheb_err = boost::math::tools::relative_error(cheb_result, true_result);
+         }
+         else
+         {
+            err = fabs(test_result - true_result);
+            cheb_err = fabs(cheb_result - true_result);
+         }
+         if(err > max_error)
+            max_error = err;
+         if(cheb_err > cheb_max_error)
+            cheb_max_error = cheb_err;
+         std::cout << std::setprecision(6) << std::setw(15) << std::left << absissa
+            << std::setw(15) << std::left << boost::math::tools::real_cast<T>(err) << boost::math::tools::real_cast<T>(cheb_err) << std::endl;
+      }
+      //
+      // Do the tests at the Chebeshev control points:
+      //
+      for(unsigned i = 0; i < cheb.size(); ++i)
+      {
+         mp_type true_result = the_function(cheb[i]);
+         T absissa = boost::math::tools::real_cast<T>(cheb[i]);
+         mp_type test_result = convert_to_rr(n.evaluate(absissa) / d.evaluate(absissa));
+         mp_type cheb_result = convert_to_rr(boost::math::tools::evaluate_chebyshev(cn, absissa) / boost::math::tools::evaluate_chebyshev(cd, absissa));
+         mp_type err, cheb_err;
+         if(rel_error)
+         {
+            err = boost::math::tools::relative_error(test_result, true_result);
+            cheb_err = boost::math::tools::relative_error(cheb_result, true_result);
+         }
+         else
+         {
+            err = fabs(test_result - true_result);
+            cheb_err = fabs(cheb_result - true_result);
+         }
+         if(err > max_error)
+            max_error = err;
+         std::cout << std::setprecision(6) << std::setw(15) << std::left << absissa
+            << std::setw(15) << std::left << boost::math::tools::real_cast<T>(err) << 
+            boost::math::tools::real_cast<T>(cheb_err) << std::endl;
+      }
+      std::string msg = "Max Error found at ";
+      msg += name;
+      msg += " precision = ";
+      msg.append(62 - 17 - msg.size(), ' ');
+      std::cout << msg << std::setprecision(6) << "Poly: " << std::setw(20) << std::left
+         << boost::math::tools::real_cast<T>(max_error) << "Cheb: " << boost::math::tools::real_cast<T>(cheb_max_error) << std::endl;
+   }
+   else
+   {
+      std::cout << "Nothing to test: try converging an approximation first!!!" << std::endl;
+   }
+}
+
+void test_float(const char*, const char*)
+{
+   do_test(float(0), "float");
+}
+
+void test_double(const char*, const char*)
+{
+   do_test(double(0), "double");
+}
+
+void test_long(const char*, const char*)
+{
+   do_test((long double)(0), "long double");
+}
+
+void test_float80(const char*, const char*)
+{
+   do_test((boost::multiprecision::cpp_bin_float_double_extended)(0), "float80");
+}
+
+void test_float128(const char*, const char*)
+{
+   do_test((boost::multiprecision::cpp_bin_float_quad)(0), "float128");
+}
+
+void test_all(const char*, const char*)
+{
+   do_test(float(0), "float");
+   do_test(double(0), "double");
+   do_test((long double)(0), "long double");
+}
+
+template <class T>
+void do_test_n(T, const char* name, unsigned count)
+{
+   set_working_precision(working_precision);
+   if(started)
+   {
+      //
+      // We want to test the approximation at fixed precision:
+      // either float, double or long double.  Begin by getting the
+      // polynomials:
+      //
+      boost::math::tools::polynomial<T> n, d;
+      boost::math::tools::polynomial<mp_type> nr, dr;
+      nr = p_remez->numerator();
+      dr = p_remez->denominator();
+      n = nr;
+      d = dr;
+
+      std::vector<mp_type> cn1, cd1;
+      cn1 = nr.chebyshev();
+      cd1 = dr.chebyshev();
+      std::vector<T> cn, cd;
+      for(unsigned i = 0; i < cn1.size(); ++i)
+      {
+         cn.push_back(boost::math::tools::real_cast<T>(cn1[i]));
+      }
+      for(unsigned i = 0; i < cd1.size(); ++i)
+      {
+         cd.push_back(boost::math::tools::real_cast<T>(cd1[i]));
+      }
+
+      mp_type max_error(0), max_cheb_error(0);
+      mp_type step = (b - a) / count;
+
+      //
+      // Do the tests at the zeros:
+      //
+      std::cout << "Starting tests at " << name << " precision...\n";
+      std::cout << "Absissa        Error (poly)   Error (Cheb)\n";
+      for(mp_type x = a; x <= b; x += step)
+      {
+         mp_type true_result = the_function(x);
+         //std::cout << true_result << std::endl;
+         T absissa = boost::math::tools::real_cast<T>(x);
+         mp_type test_result = convert_to_rr(n.evaluate(absissa) / d.evaluate(absissa));
+         //std::cout << test_result << std::endl;
+         mp_type cheb_result = convert_to_rr(boost::math::tools::evaluate_chebyshev(cn, absissa) / boost::math::tools::evaluate_chebyshev(cd, absissa));
+         //std::cout << cheb_result << std::endl;
+         mp_type err, cheb_err;
+         if(rel_error)
+         {
+            err = boost::math::tools::relative_error(test_result, true_result);
+            cheb_err = boost::math::tools::relative_error(cheb_result, true_result);
+         }
+         else
+         {
+            err = fabs(test_result - true_result);
+            cheb_err = fabs(cheb_result - true_result);
+         }
+         if(err > max_error)
+            max_error = err;
+         if(cheb_err > max_cheb_error)
+            max_cheb_error = cheb_err;
+         std::cout << std::setprecision(6) << std::setw(15) << std::left << boost::math::tools::real_cast<double>(absissa)
+            << (test_result < true_result ? "-" : "") << std::setw(20) << std::left 
+            << boost::math::tools::real_cast<double>(err) 
+            << boost::math::tools::real_cast<double>(cheb_err) << std::endl;
+      }
+      std::string msg = "Max Error found at ";
+      msg += name;
+      msg += " precision = ";
+      //msg.append(62 - 17 - msg.size(), ' ');
+      std::cout << msg << "Poly: " << std::setprecision(6) 
+         //<< std::setw(15) << std::left 
+         << boost::math::tools::real_cast<T>(max_error) 
+         << " Cheb: " << boost::math::tools::real_cast<T>(max_cheb_error) << std::endl;
+   }
+   else
+   {
+      std::cout << "Nothing to test: try converging an approximation first!!!" << std::endl;
+   }
+}
+
+void test_n(unsigned n)
+{
+   do_test_n(mp_type(), "mp_type", n);
+}
+
+void test_float_n(unsigned n)
+{
+   do_test_n(float(0), "float", n);
+}
+
+void test_double_n(unsigned n)
+{
+   do_test_n(double(0), "double", n);
+}
+
+void test_long_n(unsigned n)
+{
+   do_test_n((long double)(0), "long double", n);
+}
+
+void test_float80_n(unsigned n)
+{
+   do_test_n((boost::multiprecision::cpp_bin_float_double_extended)(0), "float80", n);
+}
+
+void test_float128_n(unsigned n)
+{
+   do_test_n((boost::multiprecision::cpp_bin_float_quad)(0), "float128", n);
+}
+
+void rotate(const char*, const char*)
+{
+   if(p_remez)
+   {
+      p_remez->rotate();
+   }
+   else
+   {
+      std::cerr << "Nothing to rotate" << std::endl;
+   }
+}
+
+void rescale(const char*, const char*)
+{
+   if(p_remez)
+   {
+      p_remez->rescale(a, b);
+   }
+   else
+   {
+      std::cerr << "Nothing to rescale" << std::endl;
+   }
+}
+
+void graph_poly(const char*, const char*)
+{
+   int i = 50;
+   set_working_precision(working_precision);
+   if(started)
+   {
+      //
+      // We want to test the approximation at fixed precision:
+      // either float, double or long double.  Begin by getting the
+      // polynomials:
+      //
+      boost::math::tools::polynomial<mp_type> n, d;
+      n = p_remez->numerator();
+      d = p_remez->denominator();
+
+      mp_type max_error(0);
+      mp_type step = (b - a) / i;
+
+      std::cout << "Evaluating Numerator...\n";
+      mp_type val;
+      for(val = a; val <= b; val += step)
+         std::cout << n.evaluate(val) << std::endl;
+      std::cout << "Evaluating Denominator...\n";
+      for(val = a; val <= b; val += step)
+         std::cout << d.evaluate(val) << std::endl;
+   }
+   else
+   {
+      std::cout << "Nothing to test: try converging an approximation first!!!" << std::endl;
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   std::string line;
+   real_parser<long double/*mp_type*/ > const rr_p;
+   while(std::getline(std::cin, line))
+   {
+      if(parse(line.c_str(), str_p("quit"), space_p).full)
+         return;
+      if(false == parse(line.c_str(), 
+         (
+
+            str_p("range")[assign_a(started, false)] && real_p[assign_a(a)] && real_p[assign_a(b)]
+      ||
+            str_p("relative")[assign_a(started, false)][assign_a(rel_error, true)]
+      ||
+            str_p("absolute")[assign_a(started, false)][assign_a(rel_error, false)]
+      ||
+            str_p("pin")[assign_a(started, false)] && str_p("true")[assign_a(pin, true)]
+      ||
+            str_p("pin")[assign_a(started, false)] && str_p("false")[assign_a(pin, false)]
+      ||
+            str_p("pin")[assign_a(started, false)] && str_p("1")[assign_a(pin, true)]
+      ||
+            str_p("pin")[assign_a(started, false)] && str_p("0")[assign_a(pin, false)]
+      ||
+            str_p("pin")[assign_a(started, false)][assign_a(pin, true)]
+      ||
+            str_p("order")[assign_a(started, false)] && uint_p[assign_a(orderN)] && uint_p[assign_a(orderD)]
+      ||
+            str_p("order")[assign_a(started, false)] && uint_p[assign_a(orderN)]
+      ||
+            str_p("target-precision") && uint_p[assign_a(target_precision)]
+      ||
+            str_p("working-precision")[assign_a(started, false)] && uint_p[assign_a(working_precision)]
+      ||
+            str_p("variant")[assign_a(started, false)] && int_p[assign_a(variant)]
+      ||
+            str_p("skew")[assign_a(started, false)] && int_p[assign_a(skew)]
+      ||
+            str_p("brake") && int_p[assign_a(brake)]
+      ||
+            str_p("step") && int_p[&step_some]
+      ||
+            str_p("step")[&step]
+      ||
+            str_p("poly")[&graph_poly]
+      ||
+            str_p("info")[&show]
+      ||
+            str_p("graph") && uint_p[&do_graph]
+      ||
+            str_p("graph")[&graph]
+      ||
+            str_p("x-offset") && real_p[assign_a(x_offset)]
+      ||
+            str_p("x-scale") && real_p[assign_a(x_scale)]
+      ||
+            str_p("y-offset") && str_p("auto")[assign_a(auto_offset_y, true)]
+      ||
+            str_p("y-offset") && real_p[assign_a(y_offset)][assign_a(auto_offset_y, false)]
+      ||
+            str_p("test") && str_p("float80") && uint_p[&test_float80_n]
+      ||
+            str_p("test") && str_p("float80")[&test_float80]
+      ||
+            str_p("test") && str_p("float128") && uint_p[&test_float128_n]
+      ||
+            str_p("test") && str_p("float128")[&test_float128]
+      ||
+            str_p("test") && str_p("float") && uint_p[&test_float_n]
+      ||
+            str_p("test") && str_p("float")[&test_float]
+      ||
+            str_p("test") && str_p("double") && uint_p[&test_double_n]
+      ||
+            str_p("test") && str_p("double")[&test_double]
+      ||
+            str_p("test") && str_p("long") && uint_p[&test_long_n]
+      ||
+            str_p("test") && str_p("long")[&test_long]
+      ||
+            str_p("test") && str_p("all")[&test_all]
+      ||
+            str_p("test") && uint_p[&test_n]
+      ||
+            str_p("rotate")[&rotate]
+      ||
+            str_p("rescale") && real_p[assign_a(a)] && real_p[assign_a(b)] && epsilon_p[&rescale]
+
+         ), space_p).full)
+      {
+         std::cout << "Unable to parse directive: \"" << line << "\"" << std::endl;
+      }
+      else
+      {
+         std::cout << "Variant              = " << variant << std::endl;
+         std::cout << "range                = [" << a << "," << b << "]" << std::endl;
+         std::cout << "Relative Error       = " << rel_error << std::endl;
+         std::cout << "Pin to Origin        = " << pin << std::endl;
+         std::cout << "Order (Num/Denom)    = " << orderN << "/" << orderD << std::endl;
+         std::cout << "Target Precision     = " << target_precision << std::endl;
+         std::cout << "Working Precision    = " << working_precision << std::endl;
+         std::cout << "Skew                 = " << skew << std::endl;
+         std::cout << "Brake                = " << brake << std::endl;
+         std::cout << "X Offset             = " << x_offset << std::endl;
+         std::cout << "X scale              = " << x_scale << std::endl;
+         std::cout << "Y Offset             = ";
+         if(auto_offset_y)
+            std::cout << "Auto (";
+         std::cout << y_offset;
+         if(auto_offset_y)
+            std::cout << ")";
+         std::cout << std::endl;
+     }
+   }
+}
diff --git a/src/boost/libs/math/minimax/multiprecision.hpp b/src/boost/libs/math/minimax/multiprecision.hpp
new file mode 100644
index 00000000..2f44ac07
--- /dev/null
+++ b/src/boost/libs/math/minimax/multiprecision.hpp
@@ -0,0 +1,224 @@
+//  (C) Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_REMEZ_MULTIPRECISION_HPP
+#define BOOST_REMEZ_MULTIPRECISION_HPP
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#ifdef USE_NTL
+#include <boost/math/bindings/rr.hpp>
+namespace std {
+   using boost::math::ntl::pow;
+} // workaround for spirit parser.
+
+typedef boost::math::ntl::RR mp_type;
+
+inline void set_working_precision(int n)
+{
+   NTL::RR::SetPrecision(working_precision);
+}
+
+inline int get_working_precision()
+{
+   return mp_type::precision(working_precision);
+}
+
+inline void set_output_precision(int n)
+{
+   NTL::RR::SetOutputPrecision(n);
+}
+
+inline mp_type round_to_precision(mp_type m, int bits)
+{
+   return NTL::RoundToPrecision(m.value(), bits);
+}
+
+
+namespace boost {
+   namespace math {
+      namespace tools {
+
+         template <>
+         inline boost::multiprecision::cpp_bin_float_double_extended real_cast<boost::multiprecision::cpp_bin_float_double_extended, mp_type>(mp_type val)
+         {
+            unsigned p = NTL::RR::OutputPrecision();
+            NTL::RR::SetOutputPrecision(20);
+            boost::multiprecision::cpp_bin_float_double_extended r = boost::lexical_cast<boost::multiprecision::cpp_bin_float_double_extended>(val);
+            NTL::RR::SetOutputPrecision(p);
+            return r;
+         }
+         template <>
+         inline boost::multiprecision::cpp_bin_float_quad real_cast<boost::multiprecision::cpp_bin_float_quad, mp_type>(mp_type val)
+         {
+            unsigned p = NTL::RR::OutputPrecision();
+            NTL::RR::SetOutputPrecision(35);
+            boost::multiprecision::cpp_bin_float_quad r = boost::lexical_cast<boost::multiprecision::cpp_bin_float_quad>(val);
+            NTL::RR::SetOutputPrecision(p);
+            return r;
+         }
+
+      }
+   }
+}
+
+#elif defined(USE_CPP_BIN_FLOAT_100)
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+typedef boost::multiprecision::cpp_bin_float_100 mp_type;
+
+inline void set_working_precision(int n)
+{
+}
+
+inline void set_output_precision(int n)
+{
+   std::cout << std::setprecision(n);
+   std::cerr << std::setprecision(n);
+}
+
+inline mp_type round_to_precision(mp_type m, int bits)
+{
+   int i;
+   mp_type f = frexp(m, &i);
+   f = ldexp(f, bits);
+   i -= bits;
+   f = floor(f);
+   return ldexp(f, i);
+}
+
+inline int get_working_precision()
+{
+   return std::numeric_limits<mp_type>::digits;
+}
+
+namespace boost {
+   namespace math {
+      namespace tools {
+
+         template <>
+         inline boost::multiprecision::cpp_bin_float_double_extended real_cast<boost::multiprecision::cpp_bin_float_double_extended, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_double_extended(val);
+         }
+         template <>
+         inline boost::multiprecision::cpp_bin_float_quad real_cast<boost::multiprecision::cpp_bin_float_quad, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_quad(val);
+         }
+
+      }
+   }
+}
+
+
+#elif defined(USE_MPFR_100)
+
+#include <boost/multiprecision/mpfr.hpp>
+
+typedef boost::multiprecision::mpfr_float_100 mp_type;
+
+inline void set_working_precision(int n)
+{
+}
+
+inline void set_output_precision(int n)
+{
+   std::cout << std::setprecision(n);
+   std::cerr << std::setprecision(n);
+}
+
+inline mp_type round_to_precision(mp_type m, int bits)
+{
+   mpfr_prec_round(m.backend().data(), bits, MPFR_RNDN);
+   return m;
+}
+
+inline int get_working_precision()
+{
+   return std::numeric_limits<mp_type>::digits;
+}
+
+namespace boost {
+   namespace math {
+      namespace tools {
+
+         template <>
+         inline boost::multiprecision::cpp_bin_float_double_extended real_cast<boost::multiprecision::cpp_bin_float_double_extended, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_double_extended(val);
+         }
+         template <>
+         inline boost::multiprecision::cpp_bin_float_quad real_cast<boost::multiprecision::cpp_bin_float_quad, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_quad(val);
+         }
+
+      }
+   }
+}
+
+
+#else
+
+#include <boost/multiprecision/mpfr.hpp>
+
+typedef boost::multiprecision::mpfr_float mp_type;
+
+inline void set_working_precision(int n)
+{
+   boost::multiprecision::mpfr_float::default_precision(boost::multiprecision::detail::digits2_2_10(n));
+}
+
+inline void set_output_precision(int n)
+{
+   std::cout << std::setprecision(n);
+   std::cerr << std::setprecision(n);
+}
+
+inline mp_type round_to_precision(mp_type m, int bits)
+{
+   mpfr_prec_round(m.backend().data(), bits, MPFR_RNDN);
+   return m;
+}
+
+inline int get_working_precision()
+{
+   return mp_type::default_precision();
+}
+
+namespace boost {
+   namespace math {
+      namespace tools {
+
+         template <>
+         inline boost::multiprecision::cpp_bin_float_double_extended real_cast<boost::multiprecision::cpp_bin_float_double_extended, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_double_extended(val);
+         }
+         template <>
+         inline boost::multiprecision::cpp_bin_float_quad real_cast<boost::multiprecision::cpp_bin_float_quad, mp_type>(mp_type val)
+         {
+            return boost::multiprecision::cpp_bin_float_quad(val);
+         }
+
+      }
+   }
+}
+
+
+
+#endif
+
+
+
+
+#endif // BOOST_REMEZ_MULTIPRECISION_HPP
+
+
+
+
+
diff --git a/src/boost/libs/math/reporting/accuracy/Jamfile.v2 b/src/boost/libs/math/reporting/accuracy/Jamfile.v2
new file mode 100644
index 00000000..7227a2fe
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/Jamfile.v2
@@ -0,0 +1,161 @@
+# Copyright Daryle Walker, Hubert Holin, John Maddock 2006 - 2007
+# copyright Paul A. Bristow 2006 - 2010
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\test\jamfile.v2
+# Runs all math toolkit tests, functions & distributions,
+# and build math examples.
+
+# bring in the rules for testing
+import testing ;
+import modules ;
+import path ;
+import pch ;
+import ../../../config/checks/config : requires ;
+using quickbook ;
+using auto-index ;
+
+project
+    : requirements
+      <include>../../include_private
+    ;
+
+if $(is_unix)
+{
+	local osname = [ SHELL uname ] ;
+
+	switch $(osname)
+	{
+		case "Sun*" : OTHERFLAGS = "-lpthread -lrt" ;
+		case "*BSD*" : OTHERFLAGS = "-lpthread" ;
+	}
+}
+
+#
+# Configuration first:
+#
+lib gsl ;
+lib gslcblas ;
+lib Rmath ;
+obj has_cxx17_cmath : has_cxx17_cmath.cpp ;
+explicit has_cxx17_cmath ;
+obj has_c99_cmath : has_c99_cmath.cpp ;
+explicit has_c99_cmath ;
+exe has_gsl : has_gsl.cpp gsl gslcblas ;
+explicit has_gsl ;
+exe has_rmath : has_rmath.cpp Rmath ;
+explicit has_rmath ;
+
+CEPHES_SOURCE = acosh.c airy.c asin.c asinh.c atan.c atanh.c bdtr.c beta.c 
+btdtr.c cbrt.c chbevl.c chdtr.c clog.c cmplx.c const.c 
+cosh.c dawsn.c drand.c ei.c ellie.c ellik.c ellpe.c ellpj.c ellpk.c 
+exp.c exp10.c exp2.c expn.c expx2.c fabs.c fac.c fdtr.c 
+fresnl.c gamma.c gdtr.c hyp2f1.c hyperg.c i0.c i1.c igami.c incbet.c 
+incbi.c igam.c isnan.c iv.c j0.c j1.c jn.c jv.c k0.c k1.c kn.c kolmogorov.c 
+log.c log2.c log10.c lrand.c nbdtr.c ndtr.c ndtri.c pdtr.c planck.c 
+polevl.c polmisc.c polylog.c polyn.c pow.c powi.c psi.c rgamma.c round.c 
+shichi.c sici.c sin.c sindg.c sinh.c spence.c stdtr.c struve.c 
+tan.c tandg.c tanh.c unity.c yn.c zeta.c zetac.c 
+sqrt.c floor.c setprec.c mtherr.c ;
+
+path-constant here : . ;
+make $(here)/third_party/cephes_double/acosh.c : : @check_exists ;
+actions check_exists
+{
+    stat $(<)
+}
+explicit $(here)/third_party/cephes_double/acosh.c ;
+
+lib cephes_double : $(here)/third_party/cephes_double/$(CEPHES_SOURCE)
+    :         
+        release
+        <link>static
+        [ check-target-builds $(here)/third_party/cephes_double/acosh.c : : <build>no ] 
+   ;
+
+explicit cephes_double ;
+
+rule all-tests {
+     local result ;
+     for local source in [ glob test*.cpp ]
+     {
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework 
+         : : : 
+          [ check-target-builds has_gsl : <define>ALWAYS_TEST_DOUBLE : ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS) ]
+         ;
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework 
+         : : : [ check-target-builds has_cxx17_cmath : <define>TEST_CXX17_CMATH : <build>no ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS)
+          : $(source:B)_cxx17_cmath ] 
+         ;
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework 
+         : : : [ check-target-builds has_c99_cmath : <define>TEST_C99 : <build>no ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS)
+          : $(source:B)_c99 ] 
+         ;
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework gsl gslcblas
+         : : : [ check-target-builds has_gsl : <define>TEST_GSL : <build>no ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS)
+          : $(source:B)_gsl ] 
+         ;
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework Rmath
+         : : : [ check-target-builds has_rmath : <define>TEST_RMATH : <build>no ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS)
+          : $(source:B)_rmath ] 
+         ;
+         result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/filesystem /boost/test//boost_unit_test_framework cephes_double
+         : : : [ check-target-builds $(here)/third_party/cephes_double/acosh.c : <define>TEST_CEPHES <source>cephes_double : <build>no ] 
+          <target-os>linux:<linkflags>-lpthread
+          <target-os>linux:<linkflags>-lrt
+          <toolset>gcc:<linkflags>$(OTHERFLAGS)
+          : $(source:B)_cephes ] 
+         ;
+     }
+     return $(result) ;     
+}
+            
+test-suite report_gen : [ all-tests ] ;
+
+path-constant images_location : html ;
+path-constant here : . ;
+
+xml report : doc/report.qbk : <dependency>report_gen ;
+boostbook standalone
+    :
+        report
+    :
+        # Path for links to Boost:
+        <xsl:param>boost.root=../../../../..
+        
+        # Some general style settings:
+        <xsl:param>table.footnote.number.format=1
+        <xsl:param>footnote.number.format=1
+        <xsl:param>html.stylesheet=http://www.boost.org/doc/libs/1_58_0/doc/src/boostbook.css
+
+        # HTML options first:
+        # Use graphics not text for navigation:
+        <xsl:param>navig.graphics=1
+        # How far down we chunk nested sections, basically all of them:
+        <xsl:param>chunk.section.depth=0
+        # Don't put the first section on the same page as the TOC:
+        <xsl:param>chunk.first.sections=0
+        # How far down sections get TOC's
+        <xsl:param>toc.section.depth=2
+        # Max depth in each TOC:
+        <xsl:param>toc.max.depth=4
+        # How far down we go with TOC's
+        <xsl:param>generate.section.toc.level=10
+    ;
+
diff --git a/src/boost/libs/math/reporting/accuracy/bindings.hpp b/src/boost/libs/math/reporting/accuracy/bindings.hpp
new file mode 100644
index 00000000..f2d49a03
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/bindings.hpp
@@ -0,0 +1,765 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_BINDINGS
+#define BOOST_MATH_BINDINGS
+
+#define ERROR_REPORTING_MODE
+#include <stdexcept>
+
+#if TEST_CXX17_CMATH
+
+#include <cmath>
+
+#define TEST_LIBRARY_NAME "<cmath>"
+
+#define LOG1P_FUNCTION_TO_TEST std::log1p
+#define EXPM1_FUNCTION_TO_TEST std::expm1
+
+#define CBRT_FUNCTION_TO_TEST std::cbrt
+#define ERF_FUNCTION_TO_TEST std::erf
+#define ERFC_FUNCTION_TO_TEST std::erfc
+
+#define LGAMMA_FUNCTION_TO_TEST std::lgamma
+#define TGAMMA_FUNCTION_TO_TEST std::tgamma
+
+#define BESSEL_I_FUNCTION_TO_TEST std::cyl_bessel_i
+#define BESSEL_IN_FUNCTION_TO_TEST std::cyl_bessel_i
+#define BESSEL_J_FUNCTION_TO_TEST std::cyl_bessel_j
+#define BESSEL_JN_FUNCTION_TO_TEST std::cyl_bessel_j
+#define BESSEL_JS_FUNCTION_TO_TEST std::sph_bessel
+#define BESSEL_K_FUNCTION_TO_TEST std::cyl_bessel_k
+#define BESSEL_KN_FUNCTION_TO_TEST std::cyl_bessel_k
+#define BESSEL_Y_FUNCTION_TO_TEST std::cyl_neumann
+#define BESSEL_YN_FUNCTION_TO_TEST std::cyl_neumann
+#define BESSEL_YS_FUNCTION_TO_TEST std::sph_neumann
+
+#define BETA_FUNCTION_TO_TEST std::beta
+
+#define ELLINT_1_FUNCTION_TO_TEST std::ellint_1
+#define ELLINT_1C_FUNCTION_TO_TEST std::comp_ellint_1
+#define ELLINT_2_FUNCTION_TO_TEST std::ellint_2
+#define ELLINT_2C_FUNCTION_TO_TEST std::comp_ellint_2
+#define ELLINT_3_FUNCTION_TO_TEST std::ellint_3
+#define ELLINT_3C_FUNCTION_TO_TEST std::comp_ellint_3
+
+#define EI_FUNCTION_TO_TEST std::expint
+
+#define LAGUERRE_FUNCTION_TO_TEST std::laguerre
+#define ASSOC_LAGUERRE_FUNCTION_TO_TEST std::assoc_laguerre
+
+inline long double legendre_p_binder(int i, long double d)
+{
+   if(i < 0)
+      throw std::domain_error("order parameters less than 0 not supported in TR1");
+   return std::legendre(i, d);
+}
+inline long double assoc_legendre_p_binder(int i, int j, long double d)
+{
+   if((i < 0) || (j < 0))
+      throw std::domain_error("order parameters less than 0 not supported in TR1");
+   return std::assoc_legendre(i, j, d);
+}
+
+#define LEGENDRE_P_FUNCTION_TO_TEST legendre_p_binder
+#define LEGENDRE_PA_FUNCTION_TO_TEST assoc_legendre_p_binder
+#define ZETA_FUNCTION_TO_TEST std::riemann_zeta
+
+#define TYPE_TO_TEST long double
+
+#elif defined(TEST_C99)
+
+#include <math.h>
+
+#define TEST_LIBRARY_NAME "<math.h>"
+
+#ifdef _MSC_VER
+
+#define LOG1P_FUNCTION_TO_TEST ::log1p
+#define EXPM1_FUNCTION_TO_TEST ::expm1
+
+#define CBRT_FUNCTION_TO_TEST ::cbrt
+#define ERF_FUNCTION_TO_TEST ::erf
+#define ERFC_FUNCTION_TO_TEST ::erfc
+
+#define LGAMMA_FUNCTION_TO_TEST ::lgamma
+#define TGAMMA_FUNCTION_TO_TEST ::tgamma
+#define BESSEL_JN_FUNCTION_TO_TEST ::jn
+#define BESSEL_YN_FUNCTION_TO_TEST ::yn
+
+#define TYPE_TO_TEST double
+
+#else
+
+#define LOG1P_FUNCTION_TO_TEST ::log1pl
+#define EXPM1_FUNCTION_TO_TEST ::expm1l
+
+#define CBRT_FUNCTION_TO_TEST ::cbrtl
+#define ERF_FUNCTION_TO_TEST ::erfl
+#define ERFC_FUNCTION_TO_TEST ::erfcl
+
+#define LGAMMA_FUNCTION_TO_TEST ::lgammal
+#define TGAMMA_FUNCTION_TO_TEST ::tgammal
+//#define BESSEL_JN_FUNCTION_TO_TEST ::jnl
+//#define BESSEL_JN_FUNCTION_TO_TEST ::ynl
+
+#define TYPE_TO_TEST long double
+#endif
+
+#elif defined(TEST_GSL)
+
+#include <stdexcept>
+
+#include <gsl/gsl_sf.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_version.h>
+
+#define TEST_LIBRARY_NAME "GSL " GSL_VERSION
+
+void gsl_handler(const char * reason, const char * file, int line, int gsl_errno)
+{
+   if(gsl_errno == GSL_ERANGE) return; // handle zero or infinity in our test code.
+   throw std::domain_error(reason);
+}
+
+struct gsl_error_handler_setter
+{
+   gsl_error_handler_t * old_handler;
+   gsl_error_handler_setter()
+   {
+      old_handler = gsl_set_error_handler(gsl_handler);
+   }
+   ~gsl_error_handler_setter()
+   {
+      gsl_set_error_handler(old_handler);
+   }
+};
+
+static const gsl_error_handler_setter handler;
+
+inline double gsl_bessel_ys(unsigned i, double d)
+{
+   return gsl_sf_bessel_yl(i, d);
+}
+
+inline double gsl_bessel_js(unsigned i, double d)
+{
+   return gsl_sf_bessel_jl(i, d);
+}
+
+//#define CBRT_FUNCTION_TO_TEST boost::cbrt
+#define ERF_FUNCTION_TO_TEST gsl_sf_erf
+#define ERFC_FUNCTION_TO_TEST gsl_sf_erfc
+//#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
+//#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
+
+#define LGAMMA_FUNCTION_TO_TEST gsl_sf_lngamma
+#define TGAMMA_FUNCTION_TO_TEST gsl_sf_gamma
+//#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
+
+#define BESSEL_I_FUNCTION_TO_TEST gsl_sf_bessel_Inu
+#define BESSEL_IN_FUNCTION_TO_TEST gsl_sf_bessel_In
+//#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+//#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+#define BESSEL_J_FUNCTION_TO_TEST  gsl_sf_bessel_Jnu
+#define BESSEL_JN_FUNCTION_TO_TEST  gsl_sf_bessel_Jn
+#define BESSEL_JS_FUNCTION_TO_TEST  gsl_bessel_js
+//#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
+#define BESSEL_K_FUNCTION_TO_TEST  gsl_sf_bessel_Knu
+#define BESSEL_KN_FUNCTION_TO_TEST gsl_sf_bessel_Kn
+//#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+//#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+#define BESSEL_Y_FUNCTION_TO_TEST gsl_sf_bessel_Ynu
+#define BESSEL_YN_FUNCTION_TO_TEST gsl_sf_bessel_Yn
+#define BESSEL_YS_FUNCTION_TO_TEST gsl_bessel_ys
+//#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
+
+#define BETA_FUNCTION_TO_TEST gsl_sf_beta
+//#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
+
+inline double RC(double a, double b)
+{
+   return gsl_sf_ellint_RC(a, b, GSL_PREC_DOUBLE);
+}
+inline double RD(double a, double b, double c)
+{
+   return gsl_sf_ellint_RD(a, b, c, GSL_PREC_DOUBLE);
+}
+inline double RF(double a, double b, double c)
+{
+   return gsl_sf_ellint_RF(a, b, c, GSL_PREC_DOUBLE);
+}
+inline double RJ(double a, double b, double c, double d)
+{
+   return gsl_sf_ellint_RJ(a, b, c, d, GSL_PREC_DOUBLE);
+}
+
+
+#define ELLINT_RC_FUNCTION_TO_TEST RC
+#define ELLINT_RD_FUNCTION_TO_TEST RD
+#define ELLINT_RF_FUNCTION_TO_TEST RF
+//#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
+#define ELLINT_RJ_FUNCTION_TO_TEST RJ
+
+#define DIGAMMA_FUNCTION_TO_TEST  gsl_sf_psi
+
+inline double ellintK(double a) { return gsl_sf_ellint_Kcomp(a, GSL_PREC_DOUBLE); }
+inline double ellintE(double a) { return gsl_sf_ellint_Ecomp(a, GSL_PREC_DOUBLE); }
+inline double ellintP(double a, double b) { return gsl_sf_ellint_Pcomp(a, -b, GSL_PREC_DOUBLE); }
+
+inline double ellintF(double a, double b) { return gsl_sf_ellint_F(b, a, GSL_PREC_DOUBLE); }
+inline double ellintE2(double a, double b) { return gsl_sf_ellint_E(b, a, GSL_PREC_DOUBLE); }
+inline double ellintP3(double a, double b, double c) { return gsl_sf_ellint_P(c, a, -b, GSL_PREC_DOUBLE); }
+inline double ellintD2(double a, double b) { return gsl_sf_ellint_D(b, a, GSL_PREC_DOUBLE); }
+
+#define ELLINT_1_FUNCTION_TO_TEST ellintF
+#define ELLINT_1C_FUNCTION_TO_TEST ellintK
+#define ELLINT_2_FUNCTION_TO_TEST ellintE2
+#define ELLINT_2C_FUNCTION_TO_TEST ellintE
+#define ELLINT_3_FUNCTION_TO_TEST ellintP3
+#define ELLINT_3C_FUNCTION_TO_TEST ellintP
+#define ELLINT_D2_FUNCTION_TO_TEST ellintD2
+//#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
+
+#define EI_FUNCTION_TO_TEST gsl_sf_expint_Ei
+#define EN_FUNCTION_TO_TEST  gsl_sf_expint_En
+
+//#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
+//#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
+
+//#define BETA_INC_FUNCTION_TO_TEST boost::math::beta
+//#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
+#define IBETA_FUNCTION_TO_TEST gsl_sf_beta_inc
+//#define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
+//#define IBETA_INV_FUNCTION_TO_TEST boost::math::ibeta_inv
+//#define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
+//#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
+//#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
+//#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
+//#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
+
+#define IGAMMA_FUNCTION_TO_TEST gsl_sf_gamma_inc
+//#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
+#define GAMMAP_FUNCTION_TO_TEST gsl_sf_gamma_inc_P
+#define GAMMAQ_FUNCTION_TO_TEST gsl_sf_gamma_inc_Q
+//#define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
+//#define GAMMAQ_INV_FUNCTION_TO_TEST boost::math::gamma_q_inv
+//#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
+//#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
+
+inline double sn(double k, double u)
+{
+   double s, c, d;
+   gsl_sf_elljac_e(u, k * k, &s, &c, &d);
+   return s;
+}
+inline double cn(double k, double u)
+{
+   double s, c, d;
+   gsl_sf_elljac_e(u, k * k, &s, &c, &d);
+   return c;
+}
+inline double dn(double k, double u)
+{
+   double s, c, d;
+   gsl_sf_elljac_e(u, k * k, &s, &c, &d);
+   return d;
+}
+
+#define SN_FUNCTION_TO_TEST sn
+#define CN_FUNCTION_TO_TEST cn
+#define DN_FUNCTION_TO_TEST dn
+//#define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
+
+inline double laguerre(unsigned n, unsigned m, double x){ return gsl_sf_laguerre_n(n, m, x); }
+inline double laguerre_0(unsigned n, double x){ return gsl_sf_laguerre_n(n, 0, x); }
+
+#define LAGUERRE_FUNCTION_TO_TEST laguerre_0
+#define ASSOC_LAGUERRE_FUNCTION_TO_TEST laguerre
+
+inline double legendre_q(unsigned n, double x) { return gsl_sf_legendre_Ql(n, x); }
+
+#define LEGENDRE_P_FUNCTION_TO_TEST gsl_sf_legendre_Pl
+#define LEGENDRE_Q_FUNCTION_TO_TEST  legendre_q
+#define LEGENDRE_PA_FUNCTION_TO_TEST  gsl_sf_legendre_Plm
+
+#define POLYGAMMA_FUNCTION_TO_TEST  gsl_sf_psi_n
+//#define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
+//#define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
+//#define SIN_PI_RATIO_FUNCTION_TO_TEST boost::math::sin_pi
+//#define COS_PI_RATIO_FUNCTION_TO_TEST boost::math::cos_pi
+#define TRIGAMMA_RATIO_FUNCTION_TO_TEST gsl_sf_psi_1
+#define ZETA_FUNCTION_TO_TEST gsl_sf_zeta
+
+#define TYPE_TO_TEST double
+
+#elif defined(TEST_RMATH)
+
+#define MATHLIB_STANDALONE
+#include <Rmath.h>
+
+#undef trunc
+
+#define TEST_LIBRARY_NAME "Rmath " R_VERSION_STRING
+
+#define LOG1P_FUNCTION_TO_TEST log1p
+#define EXPM1_FUNCTION_TO_TEST expm1
+
+//#define CBRT_FUNCTION_TO_TEST boost::math::cbrt
+//#define ERF_FUNCTION_TO_TEST boost::math::erf
+//#define ERFC_FUNCTION_TO_TEST boost::math::erfc
+//#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
+//#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
+
+#define LGAMMA_FUNCTION_TO_TEST lgammafn
+#define TGAMMA_FUNCTION_TO_TEST gammafn
+//#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
+
+inline double I(double n, double x) 
+{
+   if (x < 0)
+      throw std::domain_error("Unsupported domain");
+   return bessel_i(x, n, 1); 
+}
+inline double K(double n, double x) { return bessel_k(x, n, 1); }
+inline double J(double n, double x) 
+{ 
+   if (x < 0)
+      throw std::domain_error("Unsupported domain");
+   return bessel_j(x, n);
+}
+inline double Y(double n, double x) { return bessel_y(x, n); }
+
+#define BESSEL_I_FUNCTION_TO_TEST I
+#define BESSEL_IN_FUNCTION_TO_TEST I
+//#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+//#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+#define BESSEL_J_FUNCTION_TO_TEST J
+#define BESSEL_JN_FUNCTION_TO_TEST J
+//#define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
+//#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
+#define BESSEL_K_FUNCTION_TO_TEST K
+#define BESSEL_KN_FUNCTION_TO_TEST K
+//#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+//#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+#define BESSEL_Y_FUNCTION_TO_TEST Y
+#define BESSEL_YN_FUNCTION_TO_TEST Y
+//#define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
+//#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
+
+#define BETA_FUNCTION_TO_TEST beta
+//#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
+
+//#define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
+//#define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
+//#define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
+//#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
+//#define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
+
+#define DIGAMMA_FUNCTION_TO_TEST digamma
+
+//#define ELLINT_1_FUNCTION_TO_TEST boost::math::ellint_1
+//#define ELLINT_1C_FUNCTION_TO_TEST boost::math::ellint_1
+//#define ELLINT_2_FUNCTION_TO_TEST boost::math::ellint_2
+//#define ELLINT_2C_FUNCTION_TO_TEST boost::math::ellint_2
+//#define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
+//#define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
+//#define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
+//#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
+
+//#define EI_FUNCTION_TO_TEST boost::math::expint
+//#define EN_FUNCTION_TO_TEST boost::math::expint
+
+//#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
+//#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
+
+inline double ibeta(double a, double b, double x) { return pbeta(x, a, b, 1, 0); }
+inline double ibetac(double a, double b, double x) { return pbeta(x, a, b, 0, 0); }
+inline double ibeta_inv(double a, double b, double x) { return qbeta(x, a, b, 1, 0); }
+inline double ibetac_inv(double a, double b, double x) { return qbeta(x, a, b, 0, 0); }
+
+//#define BETA_INC_FUNCTION_TO_TEST boost::math::beta
+//#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
+#define IBETA_FUNCTION_TO_TEST ibeta
+#define IBETAC_FUNCTION_TO_TEST ibetac
+#define IBETA_INV_FUNCTION_TO_TEST ibeta_inv
+#define IBETAC_INV_FUNCTION_TO_TEST ibetac_inv
+//#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
+//#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
+//#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
+//#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
+
+inline double gamma_p(double a, double x) { return pgamma(x, a, 1.0, 1, 0); }
+inline double gamma_q(double a, double x) { return pgamma(x, a, 1.0, 0, 0); }
+inline double gamma_p_inv(double a, double x) { return qgamma(x, a, 1.0, 1, 0); }
+inline double gamma_q_inv(double a, double x) { return qgamma(x, a, 1.0, 0, 0); }
+
+//#define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
+//#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
+#define GAMMAP_FUNCTION_TO_TEST gamma_p
+#define GAMMAQ_FUNCTION_TO_TEST gamma_q
+#define GAMMAP_INV_FUNCTION_TO_TEST gamma_p_inv
+#define GAMMAQ_INV_FUNCTION_TO_TEST gamma_q_inv
+//#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
+//#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
+
+//#define SN_FUNCTION_TO_TEST boost::math::jacobi_sn
+//#define CN_FUNCTION_TO_TEST boost::math::jacobi_cn
+//#define DN_FUNCTION_TO_TEST boost::math::jacobi_dn
+//#define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
+
+//#define LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
+//#define ASSOC_LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
+
+//#define LEGENDRE_P_FUNCTION_TO_TEST boost::math::legendre_p
+//#define LEGENDRE_Q_FUNCTION_TO_TEST boost::math::legendre_q
+//#define LEGENDRE_PA_FUNCTION_TO_TEST boost::math::legendre_p
+
+inline double polygamma(int n, double x) 
+{
+   if (x < 0)
+      throw std::domain_error("Outside supported domain");
+   return psigamma(x, n); 
+}
+
+#define POLYGAMMA_FUNCTION_TO_TEST polygamma
+//#define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
+//#define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
+//#define SIN_PI_RATIO_FUNCTION_TO_TEST sinpi
+//#define COS_PI_RATIO_FUNCTION_TO_TEST cospi
+#define TRIGAMMA_RATIO_FUNCTION_TO_TEST trigamma
+//#define ZETA_FUNCTION_TO_TEST boost::math::zeta
+
+//#define SQRT1PM1_FUNCTION_TO_TEST boost::math::sqrt1pm1
+//#define POWM1_FUNCTION_TO_TEST boost::math::powm1
+//#define OWENS_T_FUNCTION_TO_TEST boost::math::owens_t
+//#define SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST boost::math::spherical_harmonic_r
+//#define SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST boost::math::spherical_harmonic_i
+
+template <class T> T do_nc_beta_cdf(T a, T b, T nc, T x){ return pnbeta(x, a, b, nc, 1, 0); }
+template <class T> T do_nc_beta_ccdf(T a, T b, T nc, T x){ return pnbeta(x, a, b, nc, 0, 0); }
+template <class T> T do_nc_chi_squared_cdf(T df, T nc, T x){ return pnchisq(x, df, nc, 1, 0); }
+template <class T> T do_nc_chi_squared_ccdf(T df, T nc, T x){ return pnchisq(x, df, nc, 0, 0); }
+template <class T> T do_nc_t_cdf(T df, T nc, T x){ return pnt(x, df, nc, 1, 0); }
+template <class T> T do_nc_t_ccdf(T df, T nc, T x){ return pnt(x, df, nc, 0, 0); }
+
+#define NC_BETA_CDF_FUNCTION_TO_TEST do_nc_beta_cdf
+#define NC_BETA_CCDF_FUNCTION_TO_TEST do_nc_beta_ccdf
+#define NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST do_nc_chi_squared_cdf
+#define NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST do_nc_chi_squared_ccdf
+#define NC_T_CDF_FUNCTION_TO_TEST do_nc_t_cdf
+#define NC_T_CCDF_FUNCTION_TO_TEST do_nc_t_ccdf
+
+#define TYPE_TO_TEST double
+
+#elif defined(TEST_CEPHES)
+
+#define TEST_LIBRARY_NAME "Cephes"
+#define TYPE_TO_TEST double
+
+extern "C" {
+
+   double log1p(double) throw();
+   double expm1(double) throw();
+   double cbrt(double) throw();
+   double erf(double) throw();
+   double erfc(double) throw();
+   double gamma(double) throw();
+   double lgam(double) throw();
+
+   double iv(double, double) throw();
+   double jv(double, double) throw();
+   double jn(int, double) throw();
+   double kn(int, double) throw();
+   double yn(int, double) throw();
+
+   double beta(double, double)throw();
+   double psi(double);
+
+   double ellik(double, double);
+   double ellpk(double);
+   double ellie(double, double);
+   double ellpe(double);
+
+   double ei(double);
+   // Can't get any sensible values from Cephes expn???
+   //double expn(double, double);
+
+   double incbet(double, double, double);
+   double incbi(double, double, double);
+
+   double igam(double, double);
+   double igamc(double, double);
+   double igami(double, double);
+
+   double ellpj(double u, double m, double *sn, double *cn, double *dn, double *phi);
+
+   double zetac(double);
+
+}
+
+inline double ellint_1(double k, double phi) { return ellik(phi, k * k); }
+inline double ellint_2(double k, double phi) { return ellie(phi, k * k); }
+inline double ellint_1(double k) { return ellpk(k * k); }
+inline double ellint_2(double k) { return ellpe(k * k); }
+
+inline double sn(double k, double u)
+{
+   double sn, cn, dn, phi;
+   ellpj(u, k * k, &sn, &cn, &dn, &phi);
+   return sn;
+}
+inline double cn(double k, double u)
+{
+   double sn, cn, dn, phi;
+   ellpj(u, k * k, &sn, &cn, &dn, &phi);
+   return cn;
+}
+
+inline double dn(double k, double u)
+{
+   double sn, cn, dn, phi;
+   ellpj(u, k * k, &sn, &cn, &dn, &phi);
+   return dn;
+}
+
+#define LOG1P_FUNCTION_TO_TEST log1p
+#define EXPM1_FUNCTION_TO_TEST expm1
+
+#define CBRT_FUNCTION_TO_TEST cbrt
+#define ERF_FUNCTION_TO_TEST erf
+#define ERFC_FUNCTION_TO_TEST erfc
+//#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
+//#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
+
+#define LGAMMA_FUNCTION_TO_TEST lgam
+#define TGAMMA_FUNCTION_TO_TEST gamma
+//#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
+
+#define BESSEL_I_FUNCTION_TO_TEST iv
+#define BESSEL_IN_FUNCTION_TO_TEST iv
+//#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+//#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+#define BESSEL_J_FUNCTION_TO_TEST jv
+#define BESSEL_JN_FUNCTION_TO_TEST jn
+//#define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
+//#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+//#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
+//#define BESSEL_K_FUNCTION_TO_TEST boost::math::cyl_bessel_k
+#define BESSEL_KN_FUNCTION_TO_TEST kn
+//#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+//#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+//#define BESSEL_Y_FUNCTION_TO_TEST boost::math::cyl_neumann
+#define BESSEL_YN_FUNCTION_TO_TEST yn
+//#define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
+//#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+//#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
+
+#define BETA_FUNCTION_TO_TEST beta
+//#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
+
+//#define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
+//#define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
+//#define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
+//#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
+//#define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
+
+#define DIGAMMA_FUNCTION_TO_TEST psi
+
+#define ELLINT_1_FUNCTION_TO_TEST ellint_1
+// Can't seem to get sensible answers from Cephes complete elliptic integrals???
+//#define ELLINT_1C_FUNCTION_TO_TEST ellint_1
+#define ELLINT_2_FUNCTION_TO_TEST ellint_2
+//#define ELLINT_2C_FUNCTION_TO_TEST ellint_2
+//#define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
+//#define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
+//#define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
+//#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
+
+#define EI_FUNCTION_TO_TEST ei
+//#define EN_FUNCTION_TO_TEST expn
+
+//#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
+//#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
+
+//#define BETA_INC_FUNCTION_TO_TEST incbet
+//#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
+#define IBETA_FUNCTION_TO_TEST incbet
+//#define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
+#define IBETA_INV_FUNCTION_TO_TEST incbi
+//#define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
+//#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
+//#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
+//#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
+//#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
+
+//#define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
+//#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
+#define GAMMAP_FUNCTION_TO_TEST igam
+#define GAMMAQ_FUNCTION_TO_TEST igamc
+//#define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
+#define GAMMAQ_INV_FUNCTION_TO_TEST igami
+//#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
+//#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
+
+#define SN_FUNCTION_TO_TEST sn
+#define CN_FUNCTION_TO_TEST cn
+#define DN_FUNCTION_TO_TEST dn
+
+#define ZETA_FUNCTION_TO_TEST zetac
+
+#else
+
+#include <boost/math/distributions/non_central_beta.hpp>
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+#include <boost/math/distributions/non_central_t.hpp>
+
+#define TEST_LIBRARY_NAME "boost"
+
+#define LOG1P_FUNCTION_TO_TEST boost::math::log1p
+#define EXPM1_FUNCTION_TO_TEST boost::math::expm1
+
+#define CBRT_FUNCTION_TO_TEST boost::math::cbrt
+#define ERF_FUNCTION_TO_TEST boost::math::erf
+#define ERFC_FUNCTION_TO_TEST boost::math::erfc
+#define ERF_INV_FUNCTION_TO_TEST boost::math::erf_inv
+#define ERFC_INV_FUNCTION_TO_TEST boost::math::erfc_inv
+
+#define LGAMMA_FUNCTION_TO_TEST boost::math::lgamma
+#define TGAMMA_FUNCTION_TO_TEST boost::math::tgamma
+#define TGAMMA1PM1_FUNCTION_TO_TEST boost::math::tgamma1pm1
+
+#define BESSEL_I_FUNCTION_TO_TEST boost::math::cyl_bessel_i
+#define BESSEL_IN_FUNCTION_TO_TEST boost::math::cyl_bessel_i
+#define BESSEL_IP_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+#define BESSEL_IPN_FUNCTION_TO_TEST boost::math::cyl_bessel_i_prime
+#define BESSEL_J_FUNCTION_TO_TEST boost::math::cyl_bessel_j
+#define BESSEL_JN_FUNCTION_TO_TEST boost::math::cyl_bessel_j
+#define BESSEL_JS_FUNCTION_TO_TEST boost::math::sph_bessel
+#define BESSEL_JP_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+#define BESSEL_JPN_FUNCTION_TO_TEST boost::math::cyl_bessel_j_prime
+#define BESSEL_JPS_FUNCTION_TO_TEST boost::math::sph_bessel_prime
+#define BESSEL_K_FUNCTION_TO_TEST boost::math::cyl_bessel_k
+#define BESSEL_KN_FUNCTION_TO_TEST boost::math::cyl_bessel_k
+#define BESSEL_KP_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+#define BESSEL_KPN_FUNCTION_TO_TEST boost::math::cyl_bessel_k_prime
+#define BESSEL_Y_FUNCTION_TO_TEST boost::math::cyl_neumann
+#define BESSEL_YN_FUNCTION_TO_TEST boost::math::cyl_neumann
+#define BESSEL_YS_FUNCTION_TO_TEST boost::math::sph_neumann
+#define BESSEL_YP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+#define BESSEL_YNP_FUNCTION_TO_TEST boost::math::cyl_neumann_prime
+#define BESSEL_YSP_FUNCTION_TO_TEST boost::math::sph_neumann_prime
+
+#define BETA_FUNCTION_TO_TEST boost::math::beta
+#define BINOMIAL_FUNCTION_TO_TEST boost::math::binomial_coefficient<T>
+
+#define ELLINT_RC_FUNCTION_TO_TEST boost::math::ellint_rc
+#define ELLINT_RD_FUNCTION_TO_TEST boost::math::ellint_rd
+#define ELLINT_RF_FUNCTION_TO_TEST boost::math::ellint_rf
+#define ELLINT_RG_FUNCTION_TO_TEST boost::math::ellint_rg
+#define ELLINT_RJ_FUNCTION_TO_TEST boost::math::ellint_rj
+
+#define DIGAMMA_FUNCTION_TO_TEST boost::math::digamma
+
+#define ELLINT_1_FUNCTION_TO_TEST boost::math::ellint_1
+#define ELLINT_1C_FUNCTION_TO_TEST boost::math::ellint_1
+#define ELLINT_2_FUNCTION_TO_TEST boost::math::ellint_2
+#define ELLINT_2C_FUNCTION_TO_TEST boost::math::ellint_2
+#define ELLINT_3_FUNCTION_TO_TEST boost::math::ellint_3
+#define ELLINT_3C_FUNCTION_TO_TEST boost::math::ellint_3
+#define ELLINT_D2_FUNCTION_TO_TEST boost::math::ellint_d
+#define ELLINT_D1_FUNCTION_TO_TEST boost::math::ellint_d
+
+#define EI_FUNCTION_TO_TEST boost::math::expint
+#define EN_FUNCTION_TO_TEST boost::math::expint
+
+#define HERMITE_FUNCTION_TO_TEST boost::math::hermite
+#define HEUMAN_LAMBDA_FUNCTION_TO_TEST boost::math::heuman_lambda
+
+#define BETA_INC_FUNCTION_TO_TEST boost::math::beta
+#define BETAC_INC_FUNCTION_TO_TEST boost::math::betac
+#define IBETA_FUNCTION_TO_TEST boost::math::ibeta
+#define IBETAC_FUNCTION_TO_TEST boost::math::ibetac
+#define IBETA_INV_FUNCTION_TO_TEST boost::math::ibeta_inv
+#define IBETAC_INV_FUNCTION_TO_TEST boost::math::ibetac_inv
+#define IBETA_INVA_FUNCTION_TO_TEST boost::math::ibeta_inva
+#define IBETAC_INVA_FUNCTION_TO_TEST boost::math::ibetac_inva
+#define IBETA_INVB_FUNCTION_TO_TEST boost::math::ibeta_invb
+#define IBETAC_INVB_FUNCTION_TO_TEST boost::math::ibetac_invb
+
+#define IGAMMA_FUNCTION_TO_TEST boost::math::tgamma
+#define IGAMMAL_FUNCTION_TO_TEST boost::math::tgamma_lower
+#define GAMMAP_FUNCTION_TO_TEST boost::math::gamma_p
+#define GAMMAQ_FUNCTION_TO_TEST boost::math::gamma_q
+#define GAMMAP_INV_FUNCTION_TO_TEST boost::math::gamma_p_inv
+#define GAMMAQ_INV_FUNCTION_TO_TEST boost::math::gamma_q_inv
+#define GAMMAP_INVA_FUNCTION_TO_TEST boost::math::gamma_p_inva
+#define GAMMAQ_INVA_FUNCTION_TO_TEST boost::math::gamma_q_inva
+
+#define SN_FUNCTION_TO_TEST boost::math::jacobi_sn
+#define CN_FUNCTION_TO_TEST boost::math::jacobi_cn
+#define DN_FUNCTION_TO_TEST boost::math::jacobi_dn
+#define JACOBI_ZETA_FUNCTION_TO_TEST boost::math::jacobi_zeta
+
+#define LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
+#define ASSOC_LAGUERRE_FUNCTION_TO_TEST boost::math::laguerre
+
+#define LEGENDRE_P_FUNCTION_TO_TEST boost::math::legendre_p
+#define LEGENDRE_Q_FUNCTION_TO_TEST boost::math::legendre_q
+#define LEGENDRE_PA_FUNCTION_TO_TEST boost::math::legendre_p
+
+#define POLYGAMMA_FUNCTION_TO_TEST boost::math::polygamma
+#define TGAMMA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_ratio
+#define TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST boost::math::tgamma_delta_ratio
+#define SIN_PI_RATIO_FUNCTION_TO_TEST boost::math::sin_pi
+#define COS_PI_RATIO_FUNCTION_TO_TEST boost::math::cos_pi
+#define TRIGAMMA_RATIO_FUNCTION_TO_TEST boost::math::trigamma
+#define ZETA_FUNCTION_TO_TEST boost::math::zeta
+
+#define SQRT1PM1_FUNCTION_TO_TEST boost::math::sqrt1pm1
+#define POWM1_FUNCTION_TO_TEST boost::math::powm1
+#define OWENS_T_FUNCTION_TO_TEST boost::math::owens_t
+#define SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST boost::math::spherical_harmonic_r
+#define SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST boost::math::spherical_harmonic_i
+
+template <class T> T do_nc_beta_cdf(T a, T b, T nc, T x){ return cdf(boost::math::non_central_beta_distribution<T>(a, b, nc), x); }
+template <class T> T do_nc_beta_ccdf(T a, T b, T nc, T x){ return cdf(complement(boost::math::non_central_beta_distribution<T>(a, b, nc), x)); }
+template <class T> T do_nc_chi_squared_cdf(T df, T nc, T x){ return cdf(boost::math::non_central_chi_squared_distribution<T>(df, nc), x); }
+template <class T> T do_nc_chi_squared_ccdf(T df, T nc, T x){ return cdf(complement(boost::math::non_central_chi_squared_distribution<T>(df, nc), x)); }
+template <class T> T do_nc_t_cdf(T df, T nc, T x){ return cdf(boost::math::non_central_t_distribution<T>(df, nc), x); }
+template <class T> T do_nc_t_ccdf(T df, T nc, T x){ return cdf(complement(boost::math::non_central_t_distribution<T>(df, nc), x)); }
+
+#define NC_BETA_CDF_FUNCTION_TO_TEST do_nc_beta_cdf
+#define NC_BETA_CCDF_FUNCTION_TO_TEST do_nc_beta_ccdf
+#define NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST do_nc_chi_squared_cdf
+#define NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST do_nc_chi_squared_ccdf
+#define NC_T_CDF_FUNCTION_TO_TEST do_nc_t_cdf
+#define NC_T_CCDF_FUNCTION_TO_TEST do_nc_t_ccdf
+
+
+#endif
+
+#if defined(TYPE_TO_TEST) && !defined(NAME_OF_TYPE_TO_TEST)
+#define NAME_OF_TYPE_TO_TEST BOOST_STRINGIZE(TYPE_TO_TEST)
+#endif
+
+//
+// This include has to come at the end after all the setup is done:
+//
+#include "handle_test_result.hpp"
+
+
+#endif
+
diff --git a/src/boost/libs/math/reporting/accuracy/handle_test_result.hpp b/src/boost/libs/math/reporting/accuracy/handle_test_result.hpp
new file mode 100644
index 00000000..3410bb15
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/handle_test_result.hpp
@@ -0,0 +1,515 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_HANDLE_TEST_RESULT
+#define BOOST_MATH_HANDLE_TEST_RESULT
+
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/regex.hpp>
+#include <boost/test/test_tools.hpp>
+#include <boost/filesystem.hpp>
+#include <boost/filesystem/fstream.hpp>
+#include <boost/interprocess/sync/named_mutex.hpp>
+#include <boost/interprocess/sync/scoped_lock.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include <iostream>
+#include <iomanip>
+#include <vector>
+#include <set>
+
+#include <boost/math/tools/test.hpp>
+
+inline std::string sanitize_string(const std::string& s)
+{
+   static const boost::regex e("[^a-zA-Z0-9]+");
+   return boost::regex_replace(s, e, "_");
+}
+
+static std::string content;
+boost::filesystem::path path_to_content;
+
+struct content_loader
+{
+   boost::interprocess::named_mutex mu;
+   boost::interprocess::scoped_lock<boost::interprocess::named_mutex> lock;
+   content_loader() : mu(boost::interprocess::open_or_create, "handle_test_result"), lock(mu)
+   {
+      boost::filesystem::path p(__FILE__);
+      p = p.parent_path();
+      p /= "doc";
+      p /= "accuracy_tables.qbk";
+      path_to_content = p;
+      if(boost::filesystem::exists(p))
+      {
+         boost::filesystem::ifstream is(p);
+         if(is.good())
+         {
+            do
+            {
+               char c = static_cast<char>(is.get());
+               if(c != EOF)
+                  content.append(1, c);
+            } while(is.good());
+         }
+      }
+   }
+   ~content_loader()
+   {
+      boost::filesystem::ofstream os(path_to_content);
+      os << content;
+   }
+   void instantiate()const
+   {
+   }
+};
+
+static const content_loader loader;
+
+void load_table(std::vector<std::vector<std::string> >& table, std::string::const_iterator begin, std::string::const_iterator end)
+{
+   static const boost::regex item_e(
+      "\\["
+      "([^\\[\\]]*(?0)?)*"
+      "\\]"
+      );
+   
+   boost::regex_token_iterator<std::string::const_iterator> i(begin, end, item_e), j;
+
+   while(i != j)
+   {
+      // Add a row:
+      table.push_back(std::vector<std::string>());
+      boost::regex_token_iterator<std::string::const_iterator> k(i->first + 1, i->second - 1, item_e);
+      while(k != j)
+      {
+         // Add a cell:
+         table.back().push_back(std::string(k->first + 1, k->second - 1));
+         ++k;
+      }
+      ++i;
+   }
+}
+
+std::string save_table(std::vector<std::vector<std::string> >& table)
+{
+   std::string result;
+
+   for(std::vector<std::vector<std::string> >::const_iterator i = table.begin(), j = table.end(); i != j; ++i)
+   {
+      result += "[";
+      for(std::vector<std::string>::const_iterator k = i->begin(), l = i->end(); k != l; ++k)
+      {
+         result += "[";
+         result += *k;
+         result += "]";
+      }
+      result += "]\n";
+   }
+   return result;
+}
+
+void add_to_all_sections(const std::string& id, std::string list_name = "all_sections")
+{
+   std::string::size_type pos = content.find("[template " + list_name + "[]"), end_pos;
+   if(pos == std::string::npos)
+   {
+      //
+      // Just append to the end:
+      //
+      content.append("\n[template ").append(list_name).append("[]\n[").append(id).append("]\n]\n");
+   }
+   else
+   {
+      //
+      // Read in the all list of sections, add our new one (in alphabetical order),
+      // and then rewrite the whole thing:
+      //
+      static const boost::regex item_e(
+         "\\["
+         "([^\\[\\]]*(?0)?)*"
+         "\\]|\\]"
+         );
+      boost::regex_token_iterator<std::string::const_iterator> i(content.begin() + pos + 12 + list_name.size(), content.end(), item_e), j;
+      std::set<std::string> sections;
+      while(i != j)
+      {
+         if(i->length() == 1)
+         {
+            end_pos = i->first - content.begin();
+            break;
+         }
+         sections.insert(std::string(i->first + 1, i->second - 1));
+         ++i;
+      }
+      sections.insert(id);
+      std::string new_list = "\n";
+      for(std::set<std::string>::const_iterator sec = sections.begin(); sec != sections.end(); ++sec)
+      {
+         new_list += "[" + *sec + "]\n";
+      }
+      content.replace(pos + 12 + list_name.size(), end_pos - pos - 12 - list_name.size(), new_list);
+   }
+}
+
+void add_cell(const std::string& cell_name, const std::string& table_name, const std::string& row_name, const std::string& type_name)
+{
+   //
+   // Load the table, add our data, and re-write:
+   //
+   std::string table_id = "table_" + sanitize_string(table_name);
+   std::string column_heading = BOOST_COMPILER;
+   column_heading += "[br]";
+   column_heading += BOOST_PLATFORM;
+   column_heading += "[br]";
+   column_heading += type_name;
+   boost::regex table_e("\\[table:" + table_id
+      + "\\s[^\\[]+"
+         "((\\["
+            "([^\\[\\]]*(?2)?)*"
+         "\\]\\s*)*\\s*)"
+       "\\]"
+       );
+
+   boost::smatch table_location;
+   if(regex_search(content, table_location, table_e))
+   {
+      std::vector<std::vector<std::string> > table_data;
+      load_table(table_data, table_location[1].first, table_location[1].second);
+      //
+      // Figure out which column we're on:
+      //
+      unsigned column_id = 1001u;
+      for(unsigned i = 0; i < table_data[0].size(); ++i)
+      {
+         if(table_data[0][i] == column_heading)
+         {
+            column_id = i;
+            break;
+         }
+      }
+      if(column_id > 1000)
+      {
+         //
+         // Need a new column, must be adding a new compiler to the table!
+         //
+         table_data[0].push_back(column_heading);
+         for(unsigned i = 1; i < table_data.size(); ++i)
+            table_data[i].push_back(std::string());
+         column_id = table_data[0].size() - 1;
+      }
+      //
+      // Figure out the row:
+      //
+      unsigned row_id = 1001;
+      for(unsigned i = 1; i < table_data.size(); ++i)
+      {
+         if(table_data[i][0] == row_name)
+         {
+            row_id = i;
+            break;
+         }
+      }
+      if(row_id > 1000)
+      {
+         //
+         // Need a new row, add it now:
+         //
+         table_data.push_back(std::vector<std::string>());
+         table_data.back().push_back(row_name);
+         for(unsigned i = 1; i < table_data[0].size(); ++i)
+            table_data.back().push_back(std::string());
+         row_id = table_data.size() - 1;
+      }
+      //
+      // Update the entry:
+      //
+      std::string& s = table_data[row_id][column_id];
+      if(s.empty())
+      {
+         std::cout << "Adding " << cell_name << " to empty cell.";
+         s = "[" + cell_name + "]";
+      }
+      else
+      {
+         if(cell_name.find("_boost_") != std::string::npos)
+         {
+            std::cout << "Adding " << cell_name << " to start of cell.";
+            s.insert(0, "[" + cell_name + "][br][br]");
+         }
+         else
+         {
+            std::cout << "Adding " << cell_name << " to end of cell.";
+            if((s.find("_boost_") != std::string::npos) && (s.find("[br]") == std::string::npos))
+               s += "[br]"; // extra break if we're adding directly after the boost results.
+            s += "[br][" + cell_name + "]";
+         }
+      }
+      //
+      // Convert back to a string and insert into content:
+      std::string c = save_table(table_data);
+      content.replace(table_location.position(1), table_location.length(1), c);
+   }
+   else
+   {
+      //
+      // Create a new table and try again:
+      //
+      std::string new_table = "\n[template " + table_id;
+      new_table += "[]\n[table:" + table_id;
+      new_table += " Error rates for ";
+      new_table += table_name;
+      new_table += "\n[[][";
+      new_table += column_heading;
+      new_table += "]]\n";
+      new_table += "[[";
+      new_table += row_name;
+      new_table += "][[";
+      new_table += cell_name;
+      new_table += "]]]\n]\n]\n";
+
+      std::string::size_type pos = content.find("[/tables:]");
+      if(pos != std::string::npos)
+         content.insert(pos + 10, new_table);
+      else
+         content += "\n\n[/tables:]\n" + new_table;
+      //
+      // Add a section for this table as well:
+      //
+      std::string section_id = "section_" + sanitize_string(table_name);
+      if(content.find(section_id + "[]") == std::string::npos)
+      {
+         std::string new_section = "\n[template " + section_id + "[]\n[section:" + section_id + " " + table_name + "]\n[" + table_id + "]\n[endsect]\n]\n";
+         pos = content.find("[/sections:]");
+         if(pos != std::string::npos)
+            content.insert(pos + 12, new_section);
+         else
+            content += "\n\n[/sections:]\n" + new_section;
+         add_to_all_sections(section_id);
+      }
+      //
+      // Add to list of all tables (not in sections):
+      //
+      add_to_all_sections(table_id, "all_tables");
+   }
+}
+
+void set_result(const std::string& cell_name, const std::string& cell_content, const std::string& table_name, const std::string& row_name, const std::string& type_name)
+{
+   loader.instantiate();
+   const boost::regex e("\\[template\\s+" + cell_name + 
+      "\\[\\]([^\\n]*)\\]$");
+
+   boost::smatch what;
+   if(regex_search(content, what, e))
+   {
+      content.replace(what.position(1), what.length(1), cell_content);
+   }
+   else
+   {
+      // Need to add new content:
+      std::string::size_type pos = content.find("[/Cell Content:]");
+      std::string t = "\n[template " + cell_name + "[] " + cell_content + "]";
+      if(pos != std::string::npos)
+         content.insert(pos + 16, t);
+      else
+      {
+         content.insert(0, t);
+         content.insert(0, "[/Cell Content:]");
+      }
+   }
+   //
+   // Check to verify that our content is actually used somewhere,
+   // if not we need to create a place for it:
+   //
+   if(content.find("[" + cell_name + "]") == std::string::npos)
+      add_cell(cell_name, table_name, row_name, type_name);
+}
+
+void set_error_content(const std::string& id, const std::string& error_s)
+{
+   boost::regex content_e("\\[template\\s+" + id + 
+      "\\[\\]\\s+"
+      "("
+         "[^\\]\\[]*"
+         "(?:"
+            "\\["
+            "([^\\[\\]]*(?2)?)*"
+            "\\]"
+            "[^\\]\\[]*"
+         ")*"
+         
+       ")"
+       "\\]");
+   boost::smatch what;
+   if(regex_search(content, what, content_e))
+   {
+      // replace existing content:
+      content.replace(what.position(1), what.length(1), error_s);
+   }
+   else
+   {
+      // add new content:
+      std::string::size_type pos = content.find("[/error_content:]");
+      if(pos != std::string::npos)
+      {
+         content.insert(pos + 17, "\n[template " + id + "[]\n" + error_s + "\n]\n");
+      }
+      else
+         content.append("\n[/error_content:]\n[template " + id + "[]\n" + error_s + "\n]\n");
+   }
+   //
+   // Add to all_errors if not already there:
+   //
+   if(content.find("[" + id + "]") == std::string::npos)
+   {
+      // Find all_errors template:
+      std::string::size_type pos = content.find("[template all_errors[]\n");
+      if(pos != std::string::npos)
+      {
+         content.insert(pos + 23, "[" + id + "]\n");
+      }
+      else
+      {
+         content.append("\n[template all_errors[]\n[").append(id).append("]\n]\n");
+      }
+   }
+}
+
+void remove_error_content(const std::string& error_id)
+{
+   // remove use template first:
+   std::string::size_type pos = content.find("[" + error_id + "]");
+   if(pos != std::string::npos)
+   {
+      content.erase(pos, 2 + error_id.size());
+   }
+   // then the template define itself:
+   boost::regex content_e("\\[template\\s+" + error_id +
+      "\\[\\]\\s+"
+      "("
+         "[^\\]\\[]*"
+         "(?:"
+            "\\["
+            "([^\\[\\]]*(?2)?)*"
+            "\\]"
+            "[^\\]\\[]*"
+         ")*"
+      ")"
+      "\\]");
+   boost::smatch what;
+   if(regex_search(content, what, content_e))
+   {
+      content.erase(what.position(), what.length());
+   }
+}
+
+template <class T, class Seq>
+void handle_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, 
+                       const char* type_name, 
+                       const char* test_name, 
+                       const char* group_name)
+{
+   T eps = boost::math::tools::epsilon<T>();
+   T max_error_found = (result.max)() / eps;
+   T mean_error_found = result.rms() / eps;
+
+   std::string cell_name = sanitize_string(BOOST_COMPILER) + "_" + sanitize_string(BOOST_PLATFORM) + "_" + sanitize_string(type_name) 
+      + "_" + sanitize_string(test_name) + "_" + sanitize_string(TEST_LIBRARY_NAME) + "_" + sanitize_string(group_name);
+
+   std::stringstream ss;
+   ss << std::setprecision(3);
+   if(std::string(TEST_LIBRARY_NAME) != "boost")
+      ss << "(['" << TEST_LIBRARY_NAME << ":] ";
+   else
+      ss << "[role blue ";
+
+   if((result.max)() > std::sqrt(eps))
+      ss << "[role red ";
+
+
+   ss << "Max = ";
+   if((boost::math::isfinite)(max_error_found))
+      ss << max_error_found;
+   else
+      ss << "+INF";
+   ss << "[epsilon] (Mean = ";
+   if((boost::math::isfinite)(mean_error_found))
+      ss << mean_error_found;
+   else
+      ss << "+INF";
+   ss << "[epsilon])";
+
+   //
+   // Now check for error output from gross errors or unexpected exceptions:
+   //
+   std::stringbuf* pbuf = dynamic_cast<std::stringbuf*>(std::cerr.rdbuf());
+   bool have_errors = false;
+   std::string error_id = "errors_" + cell_name;
+   if(pbuf)
+   {
+      std::string err_s = pbuf->str();
+      if(err_s.size())
+      {
+         if(err_s.size() > 4096)
+         {
+            std::string::size_type pos = err_s.find("\n", 4096);
+            if(pos != std::string::npos)
+            {
+               err_s.erase(pos);
+               err_s += "\n*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***\n";
+            }
+         }
+         std::string::size_type pos = err_s.find("\n");
+         while(pos != std::string::npos)
+         {
+            err_s.replace(pos, 1, "[br]");
+            pos = err_s.find("\n");
+         }
+         err_s = "[h4 Error Output For " + std::string(test_name) + std::string(" with compiler ") + std::string(BOOST_COMPILER)
+            + std::string(" and library ") + std::string(TEST_LIBRARY_NAME) + " and test data "
+            + std::string(group_name) + "]\n\n[#" + error_id + "]\n" + err_s + std::string("\n\n\n");
+         ss << "  [link " << error_id << " And other failures.]";
+         pbuf->str("");
+         set_error_content(error_id, err_s);
+         have_errors = true;
+      }
+   }
+   if(!have_errors)
+      remove_error_content(error_id);
+
+
+   if(std::string(TEST_LIBRARY_NAME) != "boost")
+      ss << ")";
+   else
+      ss << "]";
+
+   if((result.max)() > std::sqrt(eps))
+      ss << "]";
+
+   std::string cell_content = ss.str();
+
+   set_result(cell_name, cell_content, test_name, group_name, type_name);
+}
+
+struct error_stream_replacer
+{
+   std::streambuf* old_buf;
+   std::stringstream ss;
+   error_stream_replacer()
+   {
+      old_buf = std::cerr.rdbuf();
+      std::cerr.rdbuf(ss.rdbuf());
+   }
+   ~error_stream_replacer()
+   {
+      std::cerr.rdbuf(old_buf);
+   }
+};
+
+#endif // BOOST_MATH_HANDLE_TEST_RESULT
+
diff --git a/src/boost/libs/math/reporting/accuracy/has_c99_cmath.cpp b/src/boost/libs/math/reporting/accuracy/has_c99_cmath.cpp
new file mode 100644
index 00000000..87658592
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/has_c99_cmath.cpp
@@ -0,0 +1,17 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <math.h>
+
+int main()
+{
+   long double d = 1;
+
+   d = ::erf(d);
+   d = ::erfc(d);
+   d = ::tgamma(d);
+   d = ::lgamma(d);
+   return d != 0 ? 0 : 1;
+}
diff --git a/src/boost/libs/math/reporting/accuracy/has_cxx17_cmath.cpp b/src/boost/libs/math/reporting/accuracy/has_cxx17_cmath.cpp
new file mode 100644
index 00000000..a73540b5
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/has_cxx17_cmath.cpp
@@ -0,0 +1,18 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+
+int main()
+{
+   long double d = 1;
+
+   d = std::erf(d);
+   d = std::erfc(d);
+   d = std::tgamma(d);
+   d = std::lgamma(d);
+   d = std::comp_ellint_1(d);
+   return d != 0 ? 0 : 1;
+}
diff --git a/src/boost/libs/math/reporting/accuracy/has_gsl.cpp b/src/boost/libs/math/reporting/accuracy/has_gsl.cpp
new file mode 100644
index 00000000..f6679439
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/has_gsl.cpp
@@ -0,0 +1,12 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <gsl/gsl_sf.h>
+
+int main()
+{
+   double d = gsl_sf_bessel_Jn(2, 1.0);
+   return d != 0 ? 0 : 1;
+}
diff --git a/src/boost/libs/math/reporting/accuracy/has_libstdcxx_tr1.cpp b/src/boost/libs/math/reporting/accuracy/has_libstdcxx_tr1.cpp
new file mode 100644
index 00000000..e2cb9448
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/has_libstdcxx_tr1.cpp
@@ -0,0 +1,17 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <tr1/cmath>
+
+int main()
+{
+   long double d = 1;
+
+   d = std::tr1::erf(d);
+   d = std::tr1::erfc(d);
+   d = std::tr1::tgamma(d);
+   d = std::tr1::lgamma(d);
+   return d != 0 ? 0 : 1;
+}
diff --git a/src/boost/libs/math/reporting/accuracy/has_rmath.cpp b/src/boost/libs/math/reporting/accuracy/has_rmath.cpp
new file mode 100644
index 00000000..df6cb315
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/has_rmath.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define MATHLIB_STANDALONE
+#include <Rmath.h>
+
+int main()
+{
+   double d = psigamma(2.0, 4);
+   return d != 0 ? 0 : 1;
+}
diff --git a/src/boost/libs/math/reporting/accuracy/html/index.html b/src/boost/libs/math/reporting/accuracy/html/index.html
new file mode 100644
index 00000000..f859e717
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/html/index.html
@@ -0,0 +1,27805 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Special Function Error Rates Report</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/1_58_0/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="index.html" title="Special Function Error Rates Report">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td>
+<td align="center"><a href="../../../../../index.html">Home</a></td>
+<td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td>
+<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
+<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
+<td align="center"><a href="../../../../../more/index.htm">More</a></td>
+</tr></table>
+<hr>
+<div class="spirit-nav"></div>
+<div class="article">
+<div class="titlepage">
+<div>
+<div><h2 class="title">
+<a name="special_function_error_rates_rep"></a>Special Function Error Rates Report</h2></div>
+<div><div class="legalnotice">
+<a name="special_function_error_rates_rep.legal"></a><p>
+        Distributed under the Boost Software License, Version 1.0. (See accompanying
+        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
+      </p>
+</div></div>
+</div>
+<hr>
+</div>
+<div class="toc">
+<p><b>Table of Contents</b></p>
+<dl>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_beta">beta</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_beta_incomplete_">beta
+    (incomplete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_betac">betac</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_binomial_coefficient">binomial_coefficient</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_boost_math_powm1">boost::math::powm1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cbrt">cbrt</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cos_pi">cos_pi</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_i">cyl_bessel_i</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_integer_orders_">cyl_bessel_i
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_prime">cyl_bessel_i_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_prime_integer_orders_">cyl_bessel_i_prime
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_j">cyl_bessel_j</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_integer_orders_">cyl_bessel_j
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_prime">cyl_bessel_j_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_prime_integer_orders_">cyl_bessel_j_prime
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_k">cyl_bessel_k</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_integer_orders_">cyl_bessel_k
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_prime">cyl_bessel_k_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_prime_integer_orders_">cyl_bessel_k_prime
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_neumann">cyl_neumann</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_neumann_integer_orders_">cyl_neumann
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_neumann_prime">cyl_neumann_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_cyl_neumann_prime_integer_orders_">cyl_neumann_prime
+    (integer orders)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_digamma">digamma</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_1">ellint_1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_1_complete_">ellint_1
+    (complete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_2">ellint_2</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_2_complete_">ellint_2
+    (complete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_3">ellint_3</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_3_complete_">ellint_3
+    (complete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_d">ellint_d</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_d_complete_">ellint_d
+    (complete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_rc">ellint_rc</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_rd">ellint_rd</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_rf">ellint_rf</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_rg">ellint_rg</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ellint_rj">ellint_rj</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_erf">erf</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_erf_inv">erf_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_erfc">erfc</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_erfc_inv">erfc_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_expint_Ei_">expint
+    (Ei)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_expint_En_">expint
+    (En)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_expm1">expm1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_p">gamma_p</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_p_inv">gamma_p_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_p_inva">gamma_p_inva</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_q">gamma_q</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_q_inv">gamma_q_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_gamma_q_inva">gamma_q_inva</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_hermite">hermite</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_heuman_lambda">heuman_lambda</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibeta">ibeta</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibeta_inv">ibeta_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibeta_inva">ibeta_inva</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibeta_invb">ibeta_invb</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibetac">ibetac</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibetac_inv">ibetac_inv</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibetac_inva">ibetac_inva</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_ibetac_invb">ibetac_invb</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_jacobi_cn">jacobi_cn</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_jacobi_dn">jacobi_dn</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_jacobi_sn">jacobi_sn</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_jacobi_zeta">jacobi_zeta</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_laguerre_n_m_x_">laguerre(n,
+    m, x)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_laguerre_n_x_">laguerre(n,
+    x)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_legendre_p">legendre_p</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_legendre_p_associated_">legendre_p
+    (associated)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_legendre_q">legendre_q</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_lgamma">lgamma</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_log1p">log1p</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_beta_CDF">non
+    central beta CDF</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_beta_CDF_complement">non
+    central beta CDF complement</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_chi_squared_CDF">non
+    central chi squared CDF</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_chi_squared_CDF_complement">non
+    central chi squared CDF complement</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_t_CDF">non
+    central t CDF</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_non_central_t_CDF_complement">non
+    central t CDF complement</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_owens_t">owens_t</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_polygamma">polygamma</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_powm1">powm1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sin_pi">sin_pi</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sph_bessel">sph_bessel</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sph_bessel_prime">sph_bessel_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sph_neumann">sph_neumann</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sph_neumann_prime">sph_neumann_prime</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_spherical_harmonic_i">spherical_harmonic_i</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_spherical_harmonic_r">spherical_harmonic_r</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_sqrt1pm1">sqrt1pm1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma">tgamma</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma1pm1">tgamma1pm1</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma_delta_ratio">tgamma_delta_ratio</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma_incomplete_">tgamma
+    (incomplete)</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma_lower">tgamma_lower</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_tgamma_ratio">tgamma_ratio</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_trigamma">trigamma</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.section_zeta">zeta</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.error_logs">Error Logs</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_error_rates_rep.all_the_tables">Tables</a></span></dt>
+</dl>
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_beta"></a><a class="link" href="index.html#special_function_error_rates_rep.section_beta" title="beta">beta</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_beta.table_beta"></a><p class="title"><b>Table&#160;1.&#160;Error rates for beta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for beta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_beta_GSL_2_1_Beta_Function_Small_Values">And
+                other failures.</a>)</span><br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.14&#949; (Mean = 0.574&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 1.22&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 364&#949; (Mean = 76.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 1.14&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.978&#949; (Mean = 0.0595&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.18e+03&#949; (Mean = 238&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.09e+03&#949; (Mean = 265&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 61.4&#949; (Mean = 19.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.07e+03&#949; (Mean = 264&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 24.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 96.5&#949; (Mean = 22.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta Function: Divergent Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 12.1&#949; (Mean = 1.99&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 176&#949; (Mean = 28&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.99&#949; (Mean = 2.44&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 128&#949; (Mean = 23.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.8&#949; (Mean = 2.71&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.4&#949; (Mean = 2.19&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_beta_incomplete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_beta_incomplete_" title="beta (incomplete)">beta
+    (incomplete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_beta_incomplete_.table_beta_incomplete_"></a><p class="title"><b>Table&#160;2.&#160;Error rates for beta (incomplete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for beta (incomplete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 2.32&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.7&#949; (Mean = 3.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.94&#949; (Mean = 2.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.568&#949; (Mean = 0.0254&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 13.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 174&#949; (Mean = 25&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 90&#949; (Mean = 12.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.0325&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.84e+04&#949; (Mean = 2.76e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.86e+04&#949; (Mean = 2.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 633&#949; (Mean = 29.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.0323&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.6&#949; (Mean = 3.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 51.8&#949; (Mean = 11&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26&#949; (Mean = 6.28&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_betac"></a><a class="link" href="index.html#special_function_error_rates_rep.section_betac" title="betac">betac</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_betac.table_betac"></a><p class="title"><b>Table&#160;3.&#160;Error rates for betac</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for betac">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.676&#949; (Mean = 0.0302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.92&#949; (Mean = 2.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.2&#949; (Mean = 2.94&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.94&#949; (Mean = 2.06&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.949&#949; (Mean = 0.098&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 63.5&#949; (Mean = 13.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 97.6&#949; (Mean = 24.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 90.6&#949; (Mean = 14.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.12&#949; (Mean = 0.0458&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.05e+05&#949; (Mean = 5.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.04e+05&#949; (Mean = 5.46e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.72e+03&#949; (Mean = 113&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.586&#949; (Mean = 0.0314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 3.65&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 103&#949; (Mean = 17.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.2&#949; (Mean = 6.36&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_binomial_coefficient"></a><a class="link" href="index.html#special_function_error_rates_rep.section_binomial_coefficient" title="binomial_coefficient">binomial_coefficient</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_binomial_coefficient.table_binomial_coefficient"></a><p class="title"><b>Table&#160;4.&#160;Error rates for binomial_coefficient</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for binomial_coefficient">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Binomials: small arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.339&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.339&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomials: large arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.939&#949; (Mean = 0.314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.6&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 53.2&#949; (Mean = 10.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.2&#949; (Mean = 7.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_boost_math_powm1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_boost_math_powm1" title="boost::math::powm1">boost::math::powm1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_boost_math_powm1.table_boost_math_powm1"></a><p class="title"><b>Table&#160;5.&#160;Error rates for boost::math::powm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for boost::math::powm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                powm1
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.04&#949; (Mean = 0.493&#949;))<br>
+                <br> <span class="blue">Max = 2.04&#949; (Mean = 0.493&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.04&#949; (Mean = 0.493&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.06&#949; (Mean = 0.425&#949;))<br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.06&#949; (Mean = 0.425&#949;))<br>
+                <br> <span class="blue">Max = 1.06&#949; (Mean = 0.425&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88&#949; (Mean = 0.49&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.88&#949; (Mean = 0.49&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.84&#949; (Mean = 0.486&#949;))<br>
+                <br> <span class="blue">Max = 1.84&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cbrt"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cbrt" title="cbrt">cbrt</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cbrt.table_cbrt"></a><p class="title"><b>Table&#160;6.&#160;Error rates for cbrt</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cbrt">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                cbrt Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.34&#949; (Mean = 0.471&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.34&#949; (Mean = 0.471&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.565&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.7&#949; (Mean = 0.565&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cos_pi"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cos_pi" title="cos_pi">cos_pi</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cos_pi.table_cos_pi"></a><p class="title"><b>Table&#160;7.&#160;Error rates for cos_pi</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cos_pi">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.284&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi near integers and half integers
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.28&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.28&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.298&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_i" title="cyl_bessel_i">cyl_bessel_i</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i.table_cyl_bessel_i"></a><p class="title"><b>Table&#160;8.&#160;Error rates for cyl_bessel_i</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 270&#949; (Mean = 91.6&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I0_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.52&#949; (Mean = 0.622&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.738&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.49&#949; (Mean = 3.46&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.661&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.762&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 128&#949; (Mean = 41&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I1_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.53&#949; (Mean = 0.483&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5&#949; (Mean = 2.15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.767&#949; (Mean = 0.398&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.31&#949; (Mean = 0.838&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.73&#949; (Mean = 0.601&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_In_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 430&#949; (Mean = 163&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_In_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 140&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.46&#949; (Mean = 1.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.95&#949; (Mean = 2.08&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.53&#949; (Mean = 1.39&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.12&#949; (Mean = 1.85&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 616&#949; (Mean = 221&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.12&#949; (Mean = 1.95&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 261&#949; (Mean = 53.2&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.37&#949; (Mean = 2.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.62&#949; (Mean = 1.06&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 645&#949; (Mean = 132&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 176&#949; (Mean = 39.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.67&#949; (Mean = 1.88&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.661&#949; (Mean = 0.0441&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 6.18e+03&#949; (Mean = 1.55e+03&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 4.28e+08&#949; (Mean = 2.85e+07&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.35&#949; (Mean = 1.62&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.05e+03&#949; (Mean = 224&#949;)
+                <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Random_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 283&#949; (Mean = 88.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.46&#949; (Mean = 1.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 37&#949; (Mean = 18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 3.77e+168&#949; (Mean = 2.39e+168&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 6.66&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 118&#949; (Mean = 57.2&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 6.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.64&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_integer_orders_" title="cyl_bessel_i (integer orders)">cyl_bessel_i
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_integer_orders_.table_cyl_bessel_i_integer_orders_"></a><p class="title"><b>Table&#160;9.&#160;Error rates for cyl_bessel_i (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.79&#949; (Mean = 0.482&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.52&#949; (Mean = 0.622&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.738&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.49&#949; (Mean = 3.46&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.661&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.762&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.82&#949; (Mean = 0.456&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.53&#949; (Mean = 0.483&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5&#949; (Mean = 2.15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.767&#949; (Mean = 0.398&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.15&#949; (Mean = 2.13&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__GSL_2_1_Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.73&#949; (Mean = 0.601&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 430&#949; (Mean = 163&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 140&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.46&#949; (Mean = 1.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_prime" title="cyl_bessel_i_prime">cyl_bessel_i_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_prime.table_cyl_bessel_i_prime"></a><p class="title"><b>Table&#160;10.&#160;Error rates for cyl_bessel_i_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.354&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.782&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 701&#949; (Mean = 212&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.61&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.512&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 914&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 914&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.76e+03&#949; (Mean = 1.19e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.95&#949; (Mean = 1.06&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 195&#949; (Mean = 37.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.85&#949; (Mean = 1.82&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.1&#949; (Mean = 2.93&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 336&#949; (Mean = 68.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 2.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.6&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.6&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.5&#949; (Mean = 26.6&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_prime_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_i_prime_integer_orders_" title="cyl_bessel_i_prime (integer orders)">cyl_bessel_i_prime
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_i_prime_integer_orders_.table_cyl_bessel_i_prime_integer_orders_"></a><p class="title"><b>Table&#160;11.&#160;Error rates for cyl_bessel_i_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.354&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.782&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 701&#949; (Mean = 212&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.61&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_j" title="cyl_bessel_j">cyl_bessel_j</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j.table_cyl_bessel_j"></a><p class="title"><b>Table&#160;12.&#160;Error rates for cyl_bessel_j</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.04&#949; (Mean = 1.78&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J0_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.79e+08&#949; (Mean =
+                1.96e+08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8e+04&#949; (Mean = 3.27e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 6.5e+07&#949; (Mean = 2.66e+07&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.04e+07&#949; (Mean = 4.29e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1e+07&#949; (Mean = 4.09e+06&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.59&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 6.1&#949; (Mean = 2.95&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.62&#949; (Mean = 2.35&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J1_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.946&#949; (Mean = 0.39&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.44&#949; (Mean = 0.637&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.73&#949; (Mean = 0.976&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.15e+06&#949; (Mean =
+                1.58e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 47.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.75e+05&#949; (Mean = 5.32e+05&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.93e+06&#949; (Mean = 1.7e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.45e+04&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.85&#949; (Mean = 3.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.13e+19&#949; (Mean
+                = 5.16e+18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_JN_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.9e+05&#949; (Mean = 2.15e+05&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_JN_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_JN_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 112&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 5.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 4.11&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.49e+05&#949; (Mean = 8.09e+04&#949;)
+                <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10&#949; (Mean = 2.24&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.39e+05&#949; (Mean = 5.37e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 4.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.9&#949; (Mean = 3.89&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 607&#949; (Mean = 305&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 34.9&#949; (Mean = 17.4&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.536&#949; (Mean = 0.268&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.91e+03&#949; (Mean = 2.46e+03&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 5.9&#949; (Mean = 3.76&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 607&#949; (Mean = 305&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.31&#949; (Mean = 5.52&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.8&#949; (Mean = 3.69&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.12e+03&#949; (Mean = 88.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 75.7&#949; (Mean = 5.36&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.93&#949; (Mean = 1.22&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 99.6&#949; (Mean = 22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 17.5&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.4&#949; (Mean = 1.68&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 501&#949; (Mean = 52.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 15.5&#949; (Mean = 3.33&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 6.74&#949; (Mean = 1.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 260&#949; (Mean = 34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.24&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Random Data (Tricky large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 785&#949; (Mean = 94.2&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 5.01e+17&#949; (Mean
+                = 6.23e+16&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.48e+05&#949; (Mean = 5.11e+04&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 71.6&#949; (Mean = 11.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 785&#949; (Mean = 97.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.2&#949; (Mean = 8.67&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_integer_orders_" title="cyl_bessel_j (integer orders)">cyl_bessel_j
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_integer_orders_.table_cyl_bessel_j_integer_orders_"></a><p class="title"><b>Table&#160;13.&#160;Error rates for cyl_bessel_j (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.04&#949; (Mean = 1.78&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.12&#949; (Mean = 0.488&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 1.2&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.89&#949; (Mean = 0.988&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.79e+08&#949; (Mean =
+                1.96e+08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8e+04&#949; (Mean = 3.27e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1e+07&#949; (Mean = 4.11e+06&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.04e+07&#949; (Mean = 4.29e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1e+07&#949; (Mean = 4.09e+06&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> <span class="red">Max
+                = 2.54e+08&#949; (Mean = 1.04e+08&#949;))</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.59&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 6.1&#949; (Mean = 2.95&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.89&#949; (Mean = 0.721&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.946&#949; (Mean = 0.39&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.44&#949; (Mean = 0.637&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.73&#949; (Mean = 0.976&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 11.4&#949; (Mean = 4.15&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.15e+06&#949; (Mean =
+                1.58e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 47.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.26e+06&#949; (Mean = 6.28e+05&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.93e+06&#949; (Mean = 1.7e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.45e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.44e+07&#949; (Mean
+                = 6.5e+06&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.85&#949; (Mean = 3.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.13e+19&#949; (Mean
+                = 5.16e+18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.9e+05&#949; (Mean = 2.53e+05&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__GSL_2_1_Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 112&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 5.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_Microsoft_Visual_C_version_14_1_Win32_double_cyl_bessel_j_integer_orders___math_h__Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_prime" title="cyl_bessel_j_prime">cyl_bessel_j_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_prime.table_cyl_bessel_j_prime"></a><p class="title"><b>Table&#160;14.&#160;Error rates for cyl_bessel_j_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.72&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.62&#949; (Mean = 2.55&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 287&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 288&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.527&#949; (Mean = 0.128&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 312&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 355&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.5&#949; (Mean = 4.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 9.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 9.32&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 989&#949; (Mean = 495&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 989&#949; (Mean = 495&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.9&#949; (Mean = 1.61&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.593&#949; (Mean = 0.0396&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.3&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 79.4&#949; (Mean = 16.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.34&#949; (Mean = 0.999&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.885&#949; (Mean = 0.033&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 139&#949; (Mean = 6.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 279&#949; (Mean = 27.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 176&#949; (Mean = 9.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Random Data (Tricky large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 474&#949; (Mean = 62.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 474&#949; (Mean = 64.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 379&#949; (Mean = 45.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_prime_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_j_prime_integer_orders_" title="cyl_bessel_j_prime (integer orders)">cyl_bessel_j_prime
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_j_prime_integer_orders_.table_cyl_bessel_j_prime_integer_orders_"></a><p class="title"><b>Table&#160;15.&#160;Error rates for cyl_bessel_j_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.72&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.62&#949; (Mean = 2.55&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 287&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 288&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.527&#949; (Mean = 0.128&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 312&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 355&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_k" title="cyl_bessel_k">cyl_bessel_k</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k.table_cyl_bessel_k"></a><p class="title"><b>Table&#160;16.&#160;Error rates for cyl_bessel_k</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.33&#949; (Mean = 3.25&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.04&#949; (Mean = 2.16&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.833&#949; (Mean = 0.601&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.552&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.94&#949; (Mean = 3.19&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.26&#949; (Mean = 2.21&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.894&#949; (Mean = 0.516&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 12.9&#949; (Mean = 4.91&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kn_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.36&#949; (Mean = 1.43&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 8.48&#949; (Mean = 2.98&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.63&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.58&#949; (Mean = 2.39&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13&#949; (Mean = 4.81&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.47&#949; (Mean = 2.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.15&#949; (Mean = 1.35&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.21&#949; (Mean = 2.53&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.78&#949; (Mean = 2.19&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.3&#949; (Mean = 21&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 42.3&#949; (Mean = 19.8&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 308&#949; (Mean = 142&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 84.6&#949; (Mean = 37.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.3&#949; (Mean = 21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.8&#949; (Mean = 26.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.55&#949; (Mean = 1.12&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13.9&#949; (Mean = 2.91&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.764&#949; (Mean = 0.0348&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.71&#949; (Mean = 1.76&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.47&#949; (Mean = 1.34&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.55&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.34&#949; (Mean = 1.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.88&#949; (Mean = 1.48&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13.6&#949; (Mean = 2.68&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Random_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.507&#949; (Mean = 0.0313&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 9.71&#949; (Mean = 1.47&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.37&#949; (Mean = 1.49&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.88&#949; (Mean = 1.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.33&#949; (Mean = 1.62&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_integer_orders_" title="cyl_bessel_k (integer orders)">cyl_bessel_k
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_integer_orders_.table_cyl_bessel_k_integer_orders_"></a><p class="title"><b>Table&#160;17.&#160;Error rates for cyl_bessel_k (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.33&#949; (Mean = 3.25&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.2&#949; (Mean = 0.733&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.833&#949; (Mean = 0.601&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.552&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.94&#949; (Mean = 3.19&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.626&#949; (Mean = 0.333&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.894&#949; (Mean = 0.516&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 12.9&#949; (Mean = 4.91&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k_integer_orders___cmath__Bessel_Kn_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 168&#949; (Mean = 59.5&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 8.48&#949; (Mean = 2.98&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.63&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_prime" title="cyl_bessel_k_prime">cyl_bessel_k_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_prime.table_cyl_bessel_k_prime"></a><p class="title"><b>Table&#160;18.&#160;Error rates for cyl_bessel_k_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.761&#949; (Mean = 0.444&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 2.44&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 2.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 1.47&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.2&#949; (Mean = 42.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 58.7&#949; (Mean = 42.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.6&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 1.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 1.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.67&#949; (Mean = 1.73&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.95&#949; (Mean = 1.53&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.95&#949; (Mean = 1.52&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.32&#949; (Mean = 1.65&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_prime_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_bessel_k_prime_integer_orders_" title="cyl_bessel_k_prime (integer orders)">cyl_bessel_k_prime
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_bessel_k_prime_integer_orders_.table_cyl_bessel_k_prime_integer_orders_"></a><p class="title"><b>Table&#160;19.&#160;Error rates for cyl_bessel_k_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.761&#949; (Mean = 0.444&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_neumann"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_neumann" title="cyl_neumann">cyl_neumann</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_neumann.table_cyl_neumann"></a><p class="title"><b>Table&#160;20.&#160;Error rates for cyl_neumann</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.05e+05&#949; (Mean = 6.87e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 60.9&#949; (Mean = 20.4&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 167&#949; (Mean = 56.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.61&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.25&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.71e+03&#949; (Mean = 4.08e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 23.4&#949; (Mean = 8.1&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 193&#949; (Mean = 64.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.72&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.2e+20&#949; (Mean
+                = 6.97e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yn_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.314&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.41e+05&#949; (Mean = 7.62e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yn_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.24e+04&#949; (Mean = 4e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35&#949; (Mean = 11.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.7&#949; (Mean = 4.93&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 3.49e+15&#949; (Mean
+                = 1.05e+15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10&#949; (Mean = 3.02&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.07e+05&#949; (Mean = 3.22e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 243&#949; (Mean = 73.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.7&#949; (Mean = 5.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.89&#949; (Mean = 3.27&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 43.2&#949; (Mean = 16.3&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 60.8&#949; (Mean = 23&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.682&#949; (Mean = 0.335&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 1.33&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.682&#949; (Mean = 0.423&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y0 and Y1: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.8&#949; (Mean = 3.04&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.59e+03&#949; (Mean = 500&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 34.4&#949; (Mean = 8.9&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 83&#949; (Mean = 14.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.8&#949; (Mean = 3.04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 338&#949; (Mean = 27.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.01e+03&#949; (Mean = 348&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 500&#949; (Mean = 47.8&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 691&#949; (Mean = 67.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 338&#949; (Mean = 27.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 117&#949; (Mean = 10.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.08e+03&#949; (Mean = 149&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.102&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.41e+06&#949; (Mean = 7.67e+04&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.79e+05&#949; (Mean = 9.64e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.08e+03&#949; (Mean = 149&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.23e+03&#949; (Mean = 69.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_neumann_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_neumann_integer_orders_" title="cyl_neumann (integer orders)">cyl_neumann
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_neumann_integer_orders_.table_cyl_neumann_integer_orders_"></a><p class="title"><b>Table&#160;21.&#160;Error rates for cyl_neumann (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.05e+05&#949; (Mean = 6.87e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.46&#949; (Mean = 2.38&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 167&#949; (Mean = 56.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.61&#949; (Mean = 2.29&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 5.37e+03&#949; (Mean = 1.81e+03&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.25&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.71e+03&#949; (Mean = 4.08e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.51&#949; (Mean = 0.839&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 193&#949; (Mean = 64.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.72&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.86e+04&#949; (Mean = 6.2e+03&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.2e+20&#949; (Mean
+                = 6.97e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann_integer_orders___cmath__Yn_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.314&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.41e+05&#949; (Mean = 7.62e+04&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.24e+04&#949; (Mean = 4e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35&#949; (Mean = 11.9&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 2.49e+05&#949; (Mean = 8.14e+04&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_neumann_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_neumann_prime" title="cyl_neumann_prime">cyl_neumann_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_neumann_prime.table_cyl_neumann_prime"></a><p class="title"><b>Table&#160;22.&#160;Error rates for cyl_neumann_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.58&#949; (Mean = 0.193&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.1&#949; (Mean = 12.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 18.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 21.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 563&#949; (Mean = 178&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.5&#949; (Mean = 6.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 13.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 13.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 10.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.627&#949; (Mean = 0.237&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'0 and Y'1: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.8&#949; (Mean = 3.69&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.8&#949; (Mean = 3.69&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.95&#949; (Mean = 1.36&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.0885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.35e+03&#949; (Mean = 136&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.35e+03&#949; (Mean = 136&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 621&#949; (Mean = 36&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56.8&#949; (Mean = 2.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16e+05&#949; (Mean = 5.28e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16e+05&#949; (Mean = 5.28e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.13e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_cyl_neumann_prime_integer_orders_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_cyl_neumann_prime_integer_orders_" title="cyl_neumann_prime (integer orders)">cyl_neumann_prime
+    (integer orders)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_cyl_neumann_prime_integer_orders_.table_cyl_neumann_prime_integer_orders_"></a><p class="title"><b>Table&#160;23.&#160;Error rates for cyl_neumann_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.58&#949; (Mean = 0.193&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.1&#949; (Mean = 12.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 18.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 21.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 563&#949; (Mean = 178&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_digamma"></a><a class="link" href="index.html#special_function_error_rates_rep.section_digamma" title="digamma">digamma</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_digamma.table_digamma"></a><p class="title"><b>Table&#160;24.&#160;Error rates for digamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for digamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Digamma Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.84&#949; (Mean = 0.71&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.18&#949; (Mean = 0.331&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39&#949; (Mean = 0.413&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39&#949; (Mean = 0.413&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.98&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Near the Positive Root
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.891&#949; (Mean = 0.0995&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 135&#949; (Mean = 11.9&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.02e+03&#949; (Mean = 256&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.37&#949; (Mean = 0.477&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.471&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.527&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Near Zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.953&#949; (Mean = 0.348&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.17&#949; (Mean = 0.564&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.984&#949; (Mean = 0.361&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.984&#949; (Mean = 0.361&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.953&#949; (Mean = 0.337&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Negative Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.56e+04&#949; (Mean = 3.91e+03&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 4.6e+04&#949; (Mean = 3.94e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 180&#949; (Mean = 13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 180&#949; (Mean = 13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 214&#949; (Mean = 16.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Values near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.866&#949; (Mean = 0.387&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 3.58e+05&#949; (Mean = 1.6e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.592&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.592&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.215&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.18&#949; (Mean = 0.607&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 4.33&#949; (Mean = 0.982&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.888&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.888&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.452&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Half integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.09&#949; (Mean = 0.531&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 46.2&#949; (Mean = 7.24&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.906&#949; (Mean = 0.409&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.906&#949; (Mean = 0.409&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.78&#949; (Mean = 0.314&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_1" title="ellint_1">ellint_1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_1.table_ellint_1"></a><p class="title"><b>Table&#160;25.&#160;Error rates for ellint_1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral F: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.94&#949; (Mean = 0.509&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_1__cmath__Elliptic_Integral_F_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.919&#949; (Mean = 0.544&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.94&#949; (Mean = 0.509&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.919&#949; (Mean = 0.542&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral F: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.56&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.56&#949; (Mean = 0.816&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.99&#949; (Mean = 0.797&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.561&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.26&#949; (Mean = 0.631&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_1_complete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_1_complete_" title="ellint_1 (complete)">ellint_1
+    (complete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_1_complete_.table_ellint_1_complete_"></a><p class="title"><b>Table&#160;26.&#160;Error rates for ellint_1 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_1 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral K: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.887&#949; (Mean = 0.296&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.19&#949; (Mean = 0.765&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.623&#949; (Mean = 0.393&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.887&#949; (Mean = 0.296&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.915&#949; (Mean = 0.547&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral K: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.473&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.19&#949; (Mean = 0.694&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.851&#949; (Mean = 0.0851&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.32&#949; (Mean = 0.688&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.473&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.958&#949; (Mean = 0.408&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_2"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_2" title="ellint_2">ellint_2</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_2.table_ellint_2"></a><p class="title"><b>Table&#160;27.&#160;Error rates for ellint_2</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_2">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.63&#949; (Mean = 0.325&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.656&#949; (Mean = 0.317&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_2__cmath__Elliptic_Integral_E_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.656&#949; (Mean = 0.317&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.727&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.4&#949; (Mean = 1.16&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.632&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.08e+04&#949; (Mean = 3.84e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.632&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 0.639&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Small Angles
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.5&#949; (Mean = 0.118&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.283&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 2&#949; (Mean = 0.333&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.283&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.421&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_2_complete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_2_complete_" title="ellint_2 (complete)">ellint_2
+    (complete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_2_complete_.table_ellint_2_complete_"></a><p class="title"><b>Table&#160;28.&#160;Error rates for ellint_2 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_2 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.09&#949; (Mean = 1.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_2_complete__GSL_2_1_Elliptic_Integral_E_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.469&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 170&#949; (Mean = 55.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.469&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.615&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.34&#949; (Mean = 1.18&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.629&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.49e+04&#949; (Mean = 3.39e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.629&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.71&#949; (Mean = 0.553&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_3"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_3" title="ellint_3">ellint_3</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_3.table_ellint_3"></a><p class="title"><b>Table&#160;29.&#160;Error rates for ellint_3</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_3">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 475&#949; (Mean = 86.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.48e+05&#949; (Mean = 2.54e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_3_GSL_2_1_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 475&#949; (Mean = 86.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 565&#949; (Mean = 102&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.54&#949; (Mean = 0.895&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 3.37e+20&#949; (Mean
+                = 3.47e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 633&#949; (Mean = 50.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.49&#949; (Mean = 0.885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.33&#949; (Mean = 0.971&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Large Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.7&#949; (Mean = 0.893&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.52e+18&#949; (Mean
+                = 4.83e+17&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Large_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.557&#949; (Mean = 0.0389&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 40.1&#949; (Mean = 7.77&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.7&#949; (Mean = 0.892&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 0.944&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_3_complete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_3_complete_" title="ellint_3 (complete)">ellint_3
+    (complete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_3_complete_.table_ellint_3_complete_"></a><p class="title"><b>Table&#160;30.&#160;Error rates for ellint_3 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_3 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Complete Elliptic Integral PI: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.4&#949; (Mean = 0.575&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 6.31e+20&#949; (Mean
+                = 1.53e+20&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.33e+04&#949; (Mean = 1.54e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_3_complete__GSL_2_1_Complete_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.4&#949; (Mean = 0.575&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.971&#949; (Mean = 0.464&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Complete Elliptic Integral PI: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.696&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 8.78e+20&#949; (Mean
+                = 1.02e+20&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 24&#949; (Mean = 2.99&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.4&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.46&#949; (Mean = 0.657&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_d"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_d" title="ellint_d">ellint_d</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_d.table_ellint_d"></a><p class="title"><b>Table&#160;31.&#160;Error rates for ellint_d</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_d">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.862&#949; (Mean = 0.568&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.813&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.813&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.862&#949; (Mean = 0.457&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral D: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.01&#949; (Mean = 0.928&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.87&#949; (Mean = 0.805&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_d_complete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_d_complete_" title="ellint_d (complete)">ellint_d
+    (complete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_d_complete_.table_ellint_d_complete_"></a><p class="title"><b>Table&#160;32.&#160;Error rates for ellint_d (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_d (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.637&#949; (Mean = 0.368&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.735&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.735&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.637&#949; (Mean = 0.368&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral D: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.334&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.334&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.355&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_rc"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_rc" title="ellint_rc">ellint_rc</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_rc.table_ellint_rc"></a><p class="title"><b>Table&#160;33.&#160;Error rates for ellint_rc</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rc">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                RC: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.4&#949; (Mean = 0.624&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.433&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.962&#949; (Mean = 0.407&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_rd"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_rd" title="ellint_rd">ellint_rd</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_rd.table_ellint_rd"></a><p class="title"><b>Table&#160;34.&#160;Error rates for ellint_rd</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rd">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RD: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.59&#949; (Mean = 0.878&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.73&#949; (Mean = 0.831&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 0.803&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.896&#949; (Mean = 0.022&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.88&#949; (Mean = 0.839&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.65&#949; (Mean = 0.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.5&#949; (Mean = 0.843&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = y
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.824&#949; (Mean = 0.0272&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.74&#949; (Mean = 0.84&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.85&#949; (Mean = 0.865&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.51&#949; (Mean = 0.816&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = 0, y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2&#949; (Mean = 0.656&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.19&#949; (Mean = 0.522&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16&#949; (Mean = 0.497&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.03&#949; (Mean = 0.418&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.387&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.85&#949; (Mean = 0.781&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.79&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.64&#949; (Mean = 0.894&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_rf"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_rf" title="ellint_rf">ellint_rf</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_rf.table_ellint_rf"></a><p class="title"><b>Table&#160;35.&#160;Error rates for ellint_rf</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rf">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RF: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.73&#949; (Mean = 0.804&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.54&#949; (Mean = 0.674&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.02&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.999&#949; (Mean = 0.34&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.345&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.34&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = y or y = z or x = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.536&#949; (Mean = 0.00658&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.89&#949; (Mean = 0.749&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.21&#949; (Mean = 0.394&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = 0, y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.29&#949; (Mean = 0.527&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.894&#949; (Mean = 0.338&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.407&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: z = 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.54&#949; (Mean = 0.781&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.539&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.587&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_rg"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_rg" title="ellint_rg">ellint_rg</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_rg.table_ellint_rg"></a><p class="title"><b>Table&#160;36.&#160;Error rates for ellint_rg</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rg">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RG: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.983&#949; (Mean = 0.0172&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.983&#949; (Mean = 0.0172&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.95&#949; (Mean = 0.951&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.65&#949; (Mean = 0.929&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: two values 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: All values the same or zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.288&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.06&#949; (Mean = 0.348&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: two values the same
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.594&#949; (Mean = 0.0103&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.594&#949; (Mean = 0.0103&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.51&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.374&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: one value zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.14&#949; (Mean = 0.722&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.674&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ellint_rj"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ellint_rj" title="ellint_rj">ellint_rj</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ellint_rj.table_ellint_rj"></a><p class="title"><b>Table&#160;37.&#160;Error rates for ellint_rj</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rj">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RJ: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.52&#949; (Mean = 0.0184&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.57&#949; (Mean = 0.704&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_rj_GSL_2_1_RJ_Random_data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 186&#949; (Mean = 6.67&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 215&#949; (Mean = 7.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 4 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.03&#949; (Mean = 0.418&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.387&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 3 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.96&#949; (Mean = 1.06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 20.8&#949; (Mean = 0.986&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 39.9&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 2 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.6&#949; (Mean = 0.0228&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.57&#949; (Mean = 0.754&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 220&#949; (Mean = 6.64&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 214&#949; (Mean = 5.28&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: Equal z and p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.742&#949; (Mean = 0.0166&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.62&#949; (Mean = 0.699&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 17.2&#949; (Mean = 1.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.1&#949; (Mean = 1.14&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_erf"></a><a class="link" href="index.html#special_function_error_rates_rep.section_erf" title="erf">erf</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_erf.table_erf"></a><p class="title"><b>Table&#160;38.&#160;Error rates for erf</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erf">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Erf Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.925&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.944&#949; (Mean = 0.191&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.944&#949; (Mean = 0.191&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.841&#949; (Mean = 0.0687&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.06&#949; (Mean = 0.319&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.925&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.944&#949; (Mean = 0.194&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.182&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.57&#949; (Mean = 0.317&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.921&#949; (Mean = 0.0723&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.921&#949; (Mean = 0.0723&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.119&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.31&#949; (Mean = 0.368&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.197&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.921&#949; (Mean = 0.071&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.171&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 1.19&#949; (Mean = 0.244&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max
+                = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_erf_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_erf_inv" title="erf_inv">erf_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_erf_inv.table_erf_inv"></a><p class="title"><b>Table&#160;39.&#160;Error rates for erf_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erf_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse Erf Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.395&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.09&#949; (Mean = 0.502&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_erfc"></a><a class="link" href="index.html#special_function_error_rates_rep.section_erfc" title="erfc">erfc</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_erfc.table_erfc"></a><p class="title"><b>Table&#160;40.&#160;Error rates for erfc</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erfc">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Erf Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max
+                = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.658&#949; (Mean = 0.0537&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.01&#949; (Mean = 0.485&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.76&#949; (Mean = 0.365&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.35&#949; (Mean = 0.307&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.35&#949; (Mean = 0.307&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.983&#949; (Mean = 0.213&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.64&#949; (Mean = 0.662&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.76&#949; (Mean = 0.38&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.81&#949; (Mean = 0.739&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.65&#949; (Mean = 0.373&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.36&#949; (Mean = 0.539&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.542&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.26&#949; (Mean = 0.441&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.26&#949; (Mean = 0.441&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.868&#949; (Mean = 0.147&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.9&#949; (Mean = 0.472&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.564&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 4.91&#949; (Mean = 1.54&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.14&#949; (Mean = 0.248&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.84&#949; (Mean = 0.331&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_erfc_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_erfc_inv" title="erfc_inv">erfc_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_erfc_inv.table_erfc_inv"></a><p class="title"><b>Table&#160;41.&#160;Error rates for erfc_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erfc_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Inverse Erfc Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.397&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.491&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Inverse Erfc Function: extreme values
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.383&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.383&#949;)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_expint_Ei_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_expint_Ei_" title="expint (Ei)">expint
+    (Ei)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_expint_Ei_.table_expint_Ei_"></a><p class="title"><b>Table&#160;42.&#160;Error rates for expint (Ei)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expint (Ei)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 0.821&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 14.1&#949; (Mean = 2.43&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_expint_Ei___cmath__Exponential_Integral_Ei">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.994&#949; (Mean = 0.142&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.96&#949; (Mean = 0.703&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 0.835&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.43&#949; (Mean = 0.54&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei: double exponent range
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.72&#949; (Mean = 0.593&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.11&#949; (Mean = 1.13&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.156&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.5&#949; (Mean = 0.612&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.72&#949; (Mean = 0.607&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei: long exponent range
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.98&#949; (Mean = 0.595&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.93&#949; (Mean = 0.855&#949;))
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.98&#949; (Mean = 0.575&#949;)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_expint_En_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_expint_En_" title="expint (En)">expint
+    (En)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_expint_En_.table_expint_En_"></a><p class="title"><b>Table&#160;43.&#160;Error rates for expint (En)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expint (En)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Exponential Integral En
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.589&#949; (Mean = 0.0331&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 58.5&#949; (Mean = 17.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.97&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.97&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.16&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral En: small z values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 115&#949; (Mean = 23.6&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.559&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.559&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.62&#949; (Mean = 0.531&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral E1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.556&#949; (Mean = 0.0625&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.988&#949; (Mean = 0.469&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.965&#949; (Mean = 0.414&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.965&#949; (Mean = 0.408&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.988&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_expm1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_expm1" title="expm1">expm1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_expm1.table_expm1"></a><p class="title"><b>Table&#160;44.&#160;Error rates for expm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Random test data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.402&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.992&#949; (Mean = 0.402&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.992&#949; (Mean = 0.402&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.793&#949; (Mean = 0.126&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.793&#949; (Mean = 0.126&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.428&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.996&#949; (Mean = 0.426&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.496&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.31&#949; (Mean = 0.496&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_p"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_p" title="gamma_p">gamma_p</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_p.table_gamma_p"></a><p class="title"><b>Table&#160;45.&#160;Error rates for gamma_p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.955&#949; (Mean = 0.05&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 342&#949; (Mean = 45.8&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 389&#949; (Mean = 44&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 41.6&#949; (Mean = 8.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 239&#949; (Mean = 30.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35.1&#949; (Mean = 6.98&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.82&#949; (Mean = 0.758&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.01&#949; (Mean = 0.306&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.464&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.461&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.54&#949; (Mean = 0.439&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.02e+03&#949; (Mean = 105&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.11e+03&#949; (Mean = 67.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08e+04&#949; (Mean = 1.86e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.02e+04&#949; (Mean = 1.91e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 128&#949; (Mean = 22.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 66.2&#949; (Mean = 12.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.8&#949; (Mean = 2.66&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 9.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 13&#949; (Mean = 2.97&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_p_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_p_inv" title="gamma_p_inv">gamma_p_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_p_inv.table_gamma_p_inv"></a><p class="title"><b>Table&#160;46.&#160;Error rates for gamma_p_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.15&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 4.88&#949; (Mean = 0.868&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 0.406&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.466&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.71&#949; (Mean = 0.34&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.816&#949; (Mean = 0.0874&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.0447&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.0447&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.924&#949; (Mean = 0.108&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 441&#949; (Mean = 53.9&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 547&#949; (Mean = 61.6&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.17e+03&#949; (Mean = 1.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.09e+04&#949; (Mean = 1.3e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.1e+03&#949; (Mean = 131&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_p_inva"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_p_inva" title="gamma_p_inva">gamma_p_inva</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_p_inva.table_gamma_p_inva"></a><p class="title"><b>Table&#160;47.&#160;Error rates for gamma_p_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Incomplete gamma inverses.
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.87&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.08&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.92&#949; (Mean = 1.03&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_q"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_q" title="gamma_q">gamma_q</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_q.table_gamma_q"></a><p class="title"><b>Table&#160;48.&#160;Error rates for gamma_q</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.927&#949; (Mean = 0.035&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 201&#949; (Mean = 13.5&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 131&#949; (Mean = 12.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 32.3&#949; (Mean = 6.61&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 199&#949; (Mean = 26.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> <span class="red">Max = 1.38e+10&#949; (Mean = 1.05e+09&#949;))</span><br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 65.6&#949; (Mean = 11&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.819&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.26&#949; (Mean = 0.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.71e+04&#949; (Mean = 2.16e+03&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.02e+03&#949; (Mean = 62.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.82e+03&#949; (Mean = 414&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.15e+04&#949; (Mean = 733&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 469&#949; (Mean = 31.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 118&#949; (Mean = 12.5&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 138&#949; (Mean = 16.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 54.7&#949; (Mean = 6.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.72&#949; (Mean = 1.48&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_q_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_q_inv" title="gamma_q_inv">gamma_q_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_q_inv.table_gamma_q_inv"></a><p class="title"><b>Table&#160;49.&#160;Error rates for gamma_q_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.912&#949; (Mean = 0.154&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 4.66&#949; (Mean = 0.792&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.2&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.2&#949; (Mean = 0.683&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.88&#949; (Mean = 0.469&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.894&#949; (Mean = 0.0915&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.894&#949; (Mean = 0.106&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.814&#949; (Mean = 0.0856&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 292&#949; (Mean = 36.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 415&#949; (Mean = 48.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.28e+03&#949; (Mean = 1.09e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.98e+03&#949; (Mean = 877&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 451&#949; (Mean = 64.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_gamma_q_inva"></a><a class="link" href="index.html#special_function_error_rates_rep.section_gamma_q_inva" title="gamma_q_inva">gamma_q_inva</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_gamma_q_inva.table_gamma_q_inva"></a><p class="title"><b>Table&#160;50.&#160;Error rates for gamma_q_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Incomplete gamma inverses.
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.42&#949; (Mean = 1.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.86&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_hermite"></a><a class="link" href="index.html#special_function_error_rates_rep.section_hermite" title="hermite">hermite</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_hermite.table_hermite"></a><p class="title"><b>Table&#160;51.&#160;Error rates for hermite</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for hermite">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Hermite Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.46&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_heuman_lambda"></a><a class="link" href="index.html#special_function_error_rates_rep.section_heuman_lambda" title="heuman_lambda">heuman_lambda</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_heuman_lambda.table_heuman_lambda"></a><p class="title"><b>Table&#160;52.&#160;Error rates for heuman_lambda</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for heuman_lambda">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.887&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.887&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.734&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Heuman Lambda: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.82&#949; (Mean = 0.609&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.82&#949; (Mean = 0.608&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.12&#949; (Mean = 0.588&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibeta"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibeta" title="ibeta">ibeta</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibeta.table_ibeta"></a><p class="title"><b>Table&#160;53.&#160;Error rates for ibeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 682&#949; (Mean = 32.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 22.9&#949; (Mean = 3.35&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.97&#949; (Mean = 2.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.3&#949; (Mean = 2.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.4&#949; (Mean = 1.93&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 690&#949; (Mean = 151&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 232&#949; (Mean = 27.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50&#949; (Mean = 12.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 124&#949; (Mean = 18.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 16.3&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.26&#949; (Mean = 0.063&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.9e+05&#949; (Mean = 1.82e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibeta_GSL_2_1_Incomplete_Beta_Function_Large_and_Diverse_Values">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 574&#949; (Mean = 49.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96e+04&#949; (Mean = 997&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.98e+04&#949; (Mean = 2.07e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.32e+03&#949; (Mean = 68.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 254&#949; (Mean = 50.9&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 62.2&#949; (Mean = 8.95&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 0.814&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 44.5&#949; (Mean = 10.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.85&#949; (Mean = 0.791&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibeta_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibeta_inv" title="ibeta_inv">ibeta_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibeta_inv.table_ibeta_inv"></a><p class="title"><b>Table&#160;54.&#160;Error rates for ibeta_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11&#949; (Mean = 0.345&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.14e+121&#949; (Mean
+                = 3.28e+119&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibeta_inv_Rmath_3_2_3_Inverse_incomplete_beta">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.8e+04&#949; (Mean = 2.66e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.07e+04&#949; (Mean = 2.86e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.59e+03&#949; (Mean = 277&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibeta_inva"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibeta_inva" title="ibeta_inva">ibeta_inva</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibeta_inva.table_ibeta_inva"></a><p class="title"><b>Table&#160;55.&#160;Error rates for ibeta_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.602&#949; (Mean = 0.0239&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 377&#949; (Mean = 24.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 438&#949; (Mean = 31.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 242&#949; (Mean = 22.9&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibeta_invb"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibeta_invb" title="ibeta_invb">ibeta_invb</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibeta_invb.table_ibeta_invb"></a><p class="title"><b>Table&#160;56.&#160;Error rates for ibeta_invb</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_invb">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.765&#949; (Mean = 0.0422&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 407&#949; (Mean = 27.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 407&#949; (Mean = 24.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 409&#949; (Mean = 19.3&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibetac"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibetac" title="ibetac">ibetac</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibetac.table_ibetac"></a><p class="title"><b>Table&#160;57.&#160;Error rates for ibetac</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 22.4&#949; (Mean = 3.67&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.6&#949; (Mean = 2.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 13.8&#949; (Mean = 2.68&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.94&#949; (Mean = 1.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 204&#949; (Mean = 25.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 73.9&#949; (Mean = 11.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 132&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56.7&#949; (Mean = 14.3&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.981&#949; (Mean = 0.0573&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 889&#949; (Mean = 68.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.45e+04&#949; (Mean = 1.32e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.31e+04&#949; (Mean = 2.04e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88e+03&#949; (Mean = 82.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 84.6&#949; (Mean = 18&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.34&#949; (Mean = 1.11&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 17.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.37&#949; (Mean = 1.03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibetac_inv"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibetac_inv" title="ibetac_inv">ibetac_inv</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibetac_inv.table_ibetac_inv"></a><p class="title"><b>Table&#160;58.&#160;Error rates for ibetac_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.977&#949; (Mean = 0.0976&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 3.01e+132&#949; (Mean
+                = 8.65e+130&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibetac_inv_Rmath_3_2_3_Inverse_incomplete_beta">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.88e+04&#949; (Mean = 3.16e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05e+04&#949; (Mean = 3.33e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.93e+03&#949; (Mean = 198&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibetac_inva"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibetac_inva" title="ibetac_inva">ibetac_inva</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibetac_inva.table_ibetac_inva"></a><p class="title"><b>Table&#160;59.&#160;Error rates for ibetac_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.683&#949; (Mean = 0.0314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 382&#949; (Mean = 22.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 315&#949; (Mean = 23.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 408&#949; (Mean = 26.7&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_ibetac_invb"></a><a class="link" href="index.html#special_function_error_rates_rep.section_ibetac_invb" title="ibetac_invb">ibetac_invb</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_ibetac_invb.table_ibetac_invb"></a><p class="title"><b>Table&#160;60.&#160;Error rates for ibetac_invb</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_invb">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.724&#949; (Mean = 0.0303&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 317&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 369&#949; (Mean = 22.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 271&#949; (Mean = 16.4&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_jacobi_cn"></a><a class="link" href="index.html#special_function_error_rates_rep.section_jacobi_cn" title="jacobi_cn">jacobi_cn</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_jacobi_cn.table_jacobi_cn"></a><p class="title"><b>Table&#160;61.&#160;Error rates for jacobi_cn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_cn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 17.3&#949; (Mean = 4.29&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 19.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 19.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 45.8&#949; (Mean = 11.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.816&#949; (Mean = 0.0563&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.43&#949; (Mean = 0.803&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.68&#949; (Mean = 0.443&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.68&#949; (Mean = 0.454&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.83&#949; (Mean = 0.455&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 55.2&#949; (Mean = 1.64&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.4&#949; (Mean = 0.594&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.4&#949; (Mean = 0.602&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.2&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.919&#949; (Mean = 0.127&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 675&#949; (Mean = 87.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 675&#949; (Mean = 86.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 513&#949; (Mean = 126&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.2&#949; (Mean = 0.927&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 5.92e+03&#949; (Mean = 477&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97e+04&#949; (Mean = 1.9e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97e+04&#949; (Mean = 1.9e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.27e+04&#949; (Mean = 1.93e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_jacobi_dn"></a><a class="link" href="index.html#special_function_error_rates_rep.section_jacobi_dn" title="jacobi_dn">jacobi_dn</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_jacobi_dn.table_jacobi_dn"></a><p class="title"><b>Table&#160;62.&#160;Error rates for jacobi_dn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_dn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.82&#949; (Mean = 1.18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34.3&#949; (Mean = 8.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3&#949; (Mean = 0.61&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.473&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.481&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.52&#949; (Mean = 0.466&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.5&#949; (Mean = 0.0122&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.5&#949; (Mean = 0.391&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 22.4&#949; (Mean = 0.777&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 22.4&#949; (Mean = 0.763&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.1&#949; (Mean = 0.685&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.28&#949; (Mean = 0.194&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.75e+03&#949; (Mean = 293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.75e+03&#949; (Mean = 293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24e+03&#949; (Mean = 482&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.1&#949; (Mean = 0.897&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 121&#949; (Mean = 22&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.82e+04&#949; (Mean = 1.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.82e+04&#949; (Mean = 1.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.67e+04&#949; (Mean = 1e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_jacobi_sn"></a><a class="link" href="index.html#special_function_error_rates_rep.section_jacobi_sn" title="jacobi_sn">jacobi_sn</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_jacobi_sn.table_jacobi_sn"></a><p class="title"><b>Table&#160;63.&#160;Error rates for jacobi_sn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_sn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 588&#949; (Mean = 146&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 341&#949; (Mean = 80.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 341&#949; (Mean = 80.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 481&#949; (Mean = 113&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.02&#949; (Mean = 1.07&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.01&#949; (Mean = 0.584&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.01&#949; (Mean = 0.593&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.92&#949; (Mean = 0.567&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 11.7&#949; (Mean = 1.65&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.11&#949; (Mean = 0.385&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 109&#949; (Mean = 7.35&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 109&#949; (Mean = 7.38&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.2&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 12&#949; (Mean = 0.771&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.54e+04&#949; (Mean = 2.63e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45e+04&#949; (Mean = 1.51e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45e+04&#949; (Mean = 1.51e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.36e+04&#949; (Mean = 2.54e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_jacobi_zeta"></a><a class="link" href="index.html#special_function_error_rates_rep.section_jacobi_zeta" title="jacobi_zeta">jacobi_zeta</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_jacobi_zeta.table_jacobi_zeta"></a><p class="title"><b>Table&#160;64.&#160;Error rates for jacobi_zeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_zeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.66&#949; (Mean = 0.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.66&#949; (Mean = 0.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.52&#949; (Mean = 0.357&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.99&#949; (Mean = 0.824&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.96&#949; (Mean = 1.06&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.89&#949; (Mean = 0.824&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Large Phi Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.92&#949; (Mean = 0.951&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.05&#949; (Mean = 1.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 0.977&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_laguerre_n_m_x_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_laguerre_n_m_x_" title="laguerre(n, m, x)">laguerre(n,
+    m, x)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_laguerre_n_m_x_.table_laguerre_n_m_x_"></a><p class="title"><b>Table&#160;65.&#160;Error rates for laguerre(n, m, x)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for laguerre(n, m, x)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Associated Laguerre Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.84&#949; (Mean = 0.0358&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 434&#949; (Mean = 10.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 6.38&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 206&#949; (Mean = 6.86&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 6.38&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 434&#949; (Mean = 11.1&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_laguerre_n_x_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_laguerre_n_x_" title="laguerre(n, x)">laguerre(n,
+    x)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_laguerre_n_x_.table_laguerre_n_x_"></a><p class="title"><b>Table&#160;66.&#160;Error rates for laguerre(n, x)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for laguerre(n, x)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Laguerre Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.82&#949; (Mean = 0.408&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.1e+03&#949; (Mean = 185&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39e+04&#949; (Mean = 828&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.2e+03&#949; (Mean = 251&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39e+04&#949; (Mean = 828&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.1e+03&#949; (Mean = 185&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_legendre_p"></a><a class="link" href="index.html#special_function_error_rates_rep.section_legendre_p" title="legendre_p">legendre_p</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_legendre_p.table_legendre_p"></a><p class="title"><b>Table&#160;67.&#160;Error rates for legendre_p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.732&#949; (Mean = 0.0619&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 211&#949; (Mean = 20.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 9.58&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 124&#949; (Mean = 13.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 9.58&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 211&#949; (Mean = 20.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.632&#949; (Mean = 0.0693&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 300&#949; (Mean = 33.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 699&#949; (Mean = 59.6&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 343&#949; (Mean = 32.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 699&#949; (Mean = 59.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 300&#949; (Mean = 33.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_legendre_p_associated_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_legendre_p_associated_" title="legendre_p (associated)">legendre_p
+    (associated)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_legendre_p_associated_.table_legendre_p_associated_"></a><p class="title"><b>Table&#160;68.&#160;Error rates for legendre_p (associated)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_p (associated)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Associated Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.05&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 121&#949; (Mean = 6.75&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_legendre_p_associated__GSL_2_1_Associated_Legendre_Polynomials_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 175&#949; (Mean = 9.88&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 175&#949; (Mean = 9.36&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_legendre_p_associated___cmath__Associated_Legendre_Polynomials_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 77.7&#949; (Mean = 5.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 121&#949; (Mean = 7.14&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_legendre_q"></a><a class="link" href="index.html#special_function_error_rates_rep.section_legendre_q" title="legendre_q">legendre_q</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_legendre_q.table_legendre_q"></a><p class="title"><b>Table&#160;69.&#160;Error rates for legendre_q</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_q">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.612&#949; (Mean = 0.0517&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 46.4&#949; (Mean = 7.46&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.9&#949; (Mean = 9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.9&#949; (Mean = 8.98&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 46.4&#949; (Mean = 7.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.49&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.6e+03&#949; (Mean = 366&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.98e+03&#949; (Mean = 478&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.98e+03&#949; (Mean = 478&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.6e+03&#949; (Mean = 366&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_lgamma"></a><a class="link" href="index.html#special_function_error_rates_rep.section_lgamma" title="lgamma">lgamma</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_lgamma.table_lgamma"></a><p class="title"><b>Table&#160;70.&#160;Error rates for lgamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for lgamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                factorials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 33.6&#949; (Mean = 2.78&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.55&#949; (Mean = 0.592&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.308&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.67&#949; (Mean = 0.487&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.67&#949; (Mean = 0.487&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.383&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.36&#949; (Mean = 0.476&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.914&#949; (Mean = 0.175&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.958&#949; (Mean = 0.38&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.21&#949; (Mean = 1.57&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.42&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.42&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.964&#949; (Mean = 0.462&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.962&#949; (Mean = 0.372&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 442&#949; (Mean = 88.8&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.99e+04&#949; (Mean = 1.68e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.948&#949; (Mean = 0.36&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.615&#949; (Mean = 0.096&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.615&#949; (Mean = 0.096&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.948&#949; (Mean = 0.36&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.71&#949; (Mean = 0.581&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.867&#949; (Mean = 0.468&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.906&#949; (Mean = 0.565&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.17e+03&#949; (Mean = 274&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.63e+05&#949; (Mean = 5.84e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.878&#949; (Mean = 0.242&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.741&#949; (Mean = 0.263&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.741&#949; (Mean = 0.263&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.878&#949; (Mean = 0.242&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.598&#949; (Mean = 0.235&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.591&#949; (Mean = 0.159&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.741&#949; (Mean = 0.473&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 24.9&#949; (Mean = 4.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 4.22&#949; (Mean = 1.26&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.81&#949; (Mean = 1.01&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.997&#949; (Mean = 0.412&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.997&#949; (Mean = 0.412&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.81&#949; (Mean = 1.01&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.04&#949; (Mean = 1.01&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.22&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.997&#949; (Mean = 0.444&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -55
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.02&#949; (Mean = 1.47&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 250&#949; (Mean = 60.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.821&#949; (Mean = 0.513&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.58&#949; (Mean = 0.672&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.58&#949; (Mean = 0.672&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.59&#949; (Mean = 0.587&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.821&#949; (Mean = 0.674&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.821&#949; (Mean = 0.419&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 249&#949; (Mean = 43.1&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_log1p"></a><a class="link" href="index.html#special_function_error_rates_rep.section_log1p" title="log1p">log1p</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_log1p.table_log1p"></a><p class="title"><b>Table&#160;71.&#160;Error rates for log1p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for log1p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Random test data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.818&#949; (Mean = 0.227&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.818&#949; (Mean = 0.227&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.818&#949; (Mean = 0.227&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.153&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.846&#949; (Mean = 0.153&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.3&#949; (Mean = 0.66&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.818&#949; (Mean = 0.249&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.057&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.509&#949; (Mean = 0.057&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_beta_CDF"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_beta_CDF" title="non central beta CDF">non
+    central beta CDF</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_beta_CDF.table_non_central_beta_CDF"></a><p class="title"><b>Table&#160;72.&#160;Error rates for non central beta CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central beta CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Beta, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0649&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.46e+26&#949; (Mean
+                = 3.5e+24&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 824&#949; (Mean = 27.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 832&#949; (Mean = 38.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 242&#949; (Mean = 31&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Beta, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.18&#949; (Mean = 0.175&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.01e+36&#949; (Mean
+                = 1.19e+35&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.5e+04&#949; (Mean = 3.78e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.57e+04&#949; (Mean = 4.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.66e+03&#949; (Mean = 500&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_beta_CDF_complement"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_beta_CDF_complement" title="non central beta CDF complement">non
+    central beta CDF complement</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_beta_CDF_complement.table_non_central_beta_CDF_complement"></a><p class="title"><b>Table&#160;73.&#160;Error rates for non central beta CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central beta CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Beta, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0936&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 7.5e+97&#949; (Mean
+                = 1.37e+96&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 396&#949; (Mean = 50.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 554&#949; (Mean = 57.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 624&#949; (Mean = 62.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Beta, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.986&#949; (Mean = 0.188&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.83e+03&#949; (Mean = 993&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.56e+03&#949; (Mean = 707&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.25e+04&#949; (Mean = 1.49e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_chi_squared_CDF"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_chi_squared_CDF" title="non central chi squared CDF">non
+    central chi squared CDF</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_chi_squared_CDF.table_non_central_chi_squared_CDF"></a><p class="title"><b>Table&#160;74.&#160;Error rates for non central chi squared CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central chi squared CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.99&#949; (Mean = 0.0544&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 727&#949; (Mean = 121&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 46.5&#949; (Mean = 10.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 115&#949; (Mean = 13.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 48.9&#949; (Mean = 10&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.07&#949; (Mean = 0.102&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 3.27e+08&#949; (Mean
+                = 2.23e+07&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.07e+03&#949; (Mean = 336&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.17e+03&#949; (Mean = 677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+03&#949; (Mean = 723&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_chi_squared_CDF_complement"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_chi_squared_CDF_complement" title="non central chi squared CDF complement">non
+    central chi squared CDF complement</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_chi_squared_CDF_complement.table_non_central_chi_squared_CDF_complement"></a><p class="title"><b>Table&#160;75.&#160;Error rates for non central chi squared CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central chi squared CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.96&#949; (Mean = 0.0635&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 17.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 171&#949; (Mean = 22.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 98.6&#949; (Mean = 15.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.11&#949; (Mean = 0.278&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.02e+03&#949; (Mean = 630&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.1e+03&#949; (Mean = 577&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.43e+03&#949; (Mean = 705&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_t_CDF"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_t_CDF" title="non central t CDF">non
+    central t CDF</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_t_CDF.table_non_central_t_CDF"></a><p class="title"><b>Table&#160;76.&#160;Error rates for non central t CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central t CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central T
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.796&#949; (Mean = 0.0691&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 5.28e+15&#949; (Mean
+                = 8.49e+14&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_Rmath_3_2_3_Non_Central_T">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 139&#949; (Mean = 31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 145&#949; (Mean = 30.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 135&#949; (Mean = 32.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (small non-centrality)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.09e+03&#949; (Mean = 244&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.86&#949; (Mean = 1.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.15&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.17&#949; (Mean = 1.45&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (large parameters)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 257&#949; (Mean = 72.1&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.46&#949; (Mean = 0.657&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.26e+05&#949; (Mean = 1.48e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.24e+05&#949; (Mean = 1.47e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 286&#949; (Mean = 62.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_non_central_t_CDF_complement"></a><a class="link" href="index.html#special_function_error_rates_rep.section_non_central_t_CDF_complement" title="non central t CDF complement">non
+    central t CDF complement</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_non_central_t_CDF_complement.table_non_central_t_CDF_complement"></a><p class="title"><b>Table&#160;77.&#160;Error rates for non central t CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central t CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central T
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.707&#949; (Mean = 0.0497&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 6.19e+15&#949; (Mean
+                = 6.72e+14&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_complement_Rmath_3_2_3_Non_Central_T">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 201&#949; (Mean = 31.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 340&#949; (Mean = 43.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 154&#949; (Mean = 32.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (small non-centrality)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.87e+03&#949; (Mean = 263&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.5&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.5&#949; (Mean = 2.39&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.6&#949; (Mean = 1.63&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (large parameters)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 478&#949; (Mean = 96.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.24&#949; (Mean = 0.945&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+05&#949; (Mean = 1.97e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+05&#949; (Mean = 1.97e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 227&#949; (Mean = 50.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_owens_t"></a><a class="link" href="index.html#special_function_error_rates_rep.section_owens_t" title="owens_t">owens_t</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_owens_t.table_owens_t"></a><p class="title"><b>Table&#160;78.&#160;Error rates for owens_t</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for owens_t">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Owens T (medium small values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.34&#949; (Mean = 0.944&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.34&#949; (Mean = 0.911&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.37&#949; (Mean = 0.98&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Owens T (large and diverse values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 2.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 24.5&#949; (Mean = 1.39&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.78&#949; (Mean = 0.621&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_polygamma"></a><a class="link" href="index.html#special_function_error_rates_rep.section_polygamma" title="polygamma">polygamma</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_polygamma.table_polygamma"></a><p class="title"><b>Table&#160;79.&#160;Error rates for polygamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for polygamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Mathematica Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.824&#949; (Mean = 0.0574&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 62.9&#949; (Mean = 12.8&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 108&#949; (Mean = 15.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.38&#949; (Mean = 1.84&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34.3&#949; (Mean = 7.65&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.32&#949; (Mean = 1.95&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - large arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0592&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 244&#949; (Mean = 32.8&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 1.71e+56&#949; (Mean = 1.01e+55&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_arguments">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 0.323&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 0.848&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 150&#949; (Mean = 13.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - negative arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.516&#949; (Mean = 0.022&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 36.6&#949; (Mean = 3.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_negative_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_negative_arguments">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 269&#949; (Mean = 87.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 269&#949; (Mean = 88.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 497&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - large negative arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.79&#949; (Mean = 0.197&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_negative_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_negative_arguments">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 155&#949; (Mean = 96.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 155&#949; (Mean = 96.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 162&#949; (Mean = 101&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - small arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 15.2&#949; (Mean = 5.03&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 106&#949; (Mean = 20&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.33&#949; (Mean = 0.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.33&#949; (Mean = 0.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3&#949; (Mean = 0.496&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - Large orders and other bug cases
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 151&#949; (Mean = 39.3&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_Large_orders_and_other_bug_cases">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_Large_orders_and_other_bug_cases">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 54.5&#949; (Mean = 13.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 145&#949; (Mean = 55.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 200&#949; (Mean = 57.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_powm1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_powm1" title="powm1">powm1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_powm1.table_powm1"></a><p class="title"><b>Table&#160;80.&#160;Error rates for powm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for powm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                powm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.06&#949; (Mean = 0.425&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.04&#949; (Mean = 0.493&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88&#949; (Mean = 0.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.84&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sin_pi"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sin_pi" title="sin_pi">sin_pi</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sin_pi.table_sin_pi"></a><p class="title"><b>Table&#160;81.&#160;Error rates for sin_pi</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sin_pi">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.335&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.336&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.99&#949; (Mean = 0.328&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi near integers and half integers
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.343&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sph_bessel"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sph_bessel" title="sph_bessel">sph_bessel</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sph_bessel.table_sph_bessel"></a><p class="title"><b>Table&#160;82.&#160;Error rates for sph_bessel</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_bessel">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Bessel j: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 13.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.91e+06&#949; (Mean = 1.09e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.978&#949; (Mean = 0.0445&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.79e+03&#949; (Mean = 107&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 33.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 245&#949; (Mean = 16.3&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sph_bessel_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sph_bessel_prime" title="sph_bessel_prime">sph_bessel_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sph_bessel_prime.table_sph_bessel_prime"></a><p class="title"><b>Table&#160;83.&#160;Error rates for sph_bessel_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_bessel_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Bessel j': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.753&#949; (Mean = 0.0343&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 33.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 307&#949; (Mean = 25.2&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sph_neumann"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sph_neumann" title="sph_neumann">sph_neumann</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sph_neumann.table_sph_neumann"></a><p class="title"><b>Table&#160;84.&#160;Error rates for sph_neumann</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_neumann">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                y: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 234&#949; (Mean = 19.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.6e+06&#949; (Mean = 1.4e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.0665&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.5e+04&#949; (Mean = 5.33e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 234&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 281&#949; (Mean = 31.1&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sph_neumann_prime"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sph_neumann_prime" title="sph_neumann_prime">sph_neumann_prime</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sph_neumann_prime.table_sph_neumann_prime"></a><p class="title"><b>Table&#160;85.&#160;Error rates for sph_neumann_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_neumann_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                y': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.988&#949; (Mean = 0.0869&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 158&#949; (Mean = 18.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 158&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 296&#949; (Mean = 25.6&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_spherical_harmonic_i"></a><a class="link" href="index.html#special_function_error_rates_rep.section_spherical_harmonic_i" title="spherical_harmonic_i">spherical_harmonic_i</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_spherical_harmonic_i.table_spherical_harmonic_i"></a><p class="title"><b>Table&#160;86.&#160;Error rates for spherical_harmonic_i</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for spherical_harmonic_i">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Spherical Harmonics
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.0765&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 108&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03e+04&#949; (Mean = 327&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.27e+04&#949; (Mean = 725&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_spherical_harmonic_r"></a><a class="link" href="index.html#special_function_error_rates_rep.section_spherical_harmonic_r" title="spherical_harmonic_r">spherical_harmonic_r</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_spherical_harmonic_r.table_spherical_harmonic_r"></a><p class="title"><b>Table&#160;87.&#160;Error rates for spherical_harmonic_r</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for spherical_harmonic_r">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Spherical Harmonics
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.58&#949; (Mean = 0.0707&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 108&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03e+04&#949; (Mean = 327&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.27e+04&#949; (Mean = 725&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_sqrt1pm1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_sqrt1pm1" title="sqrt1pm1">sqrt1pm1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_sqrt1pm1.table_sqrt1pm1"></a><p class="title"><b>Table&#160;88.&#160;Error rates for sqrt1pm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sqrt1pm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                sqrt1pm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.33&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.54&#949; (Mean = 0.563&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.35&#949; (Mean = 0.497&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma" title="tgamma">tgamma</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma.table_tgamma"></a><p class="title"><b>Table&#160;89.&#160;Error rates for tgamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                factorials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.95&#949; (Mean = 0.783&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 314&#949; (Mean = 93.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.67&#949; (Mean = 0.617&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.66&#949; (Mean = 0.584&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.66&#949; (Mean = 0.584&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 172&#949; (Mean = 41&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.85&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.17&#949; (Mean = 0.928&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.51&#949; (Mean = 1.92&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.335&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.608&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 1&#949; (Mean = 0.376&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 1&#949; (Mean = 0.376&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.647&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0.5&#949; (Mean = 0.0791&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.635&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.405&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.41&#949; (Mean = 1.81&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.32&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 1.02&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.918&#949; (Mean = 0.203&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.918&#949; (Mean = 0.203&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.01&#949; (Mean = 1.06&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.175&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.1&#949; (Mean = 0.59&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.4&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.95&#949; (Mean = 3.12&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.191&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.1&#949; (Mean = 1.55&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.558&#949; (Mean = 0.298&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.558&#949; (Mean = 0.298&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.01&#949; (Mean = 1.89&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.733&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.6&#949; (Mean = 1.05&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 34.9&#949; (Mean = 9.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.75&#949; (Mean = 0.895&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.26&#949; (Mean = 1.08&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.26&#949; (Mean = 1.08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.75&#949; (Mean = 0.819&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.86&#949; (Mean = 0.881&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.866&#949; (Mean = 0.445&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -55
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.8&#949; (Mean = 0.782&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.89e+04&#949; (Mean = 9.52e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.69&#949; (Mean = 1.09&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.79&#949; (Mean = 0.75&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.79&#949; (Mean = 0.75&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 98.5&#949; (Mean = 53.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.7&#949; (Mean = 1.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.87e+04&#949; (Mean = 6.71e+03&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma1pm1"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma1pm1" title="tgamma1pm1">tgamma1pm1</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma1pm1.table_tgamma1pm1"></a><p class="title"><b>Table&#160;90.&#160;Error rates for tgamma1pm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma1pm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                tgamma1pm1(dz)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.12&#949; (Mean = 0.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.61&#949; (Mean = 0.84&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.31&#949; (Mean = 0.517&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma_delta_ratio"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma_delta_ratio" title="tgamma_delta_ratio">tgamma_delta_ratio</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma_delta_ratio.table_tgamma_delta_ratio"></a><p class="title"><b>Table&#160;91.&#160;Error rates for tgamma_delta_ratio</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_delta_ratio">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma + small delta ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.83&#949; (Mean = 1.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 15.4&#949; (Mean = 2.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.56&#949; (Mean = 1.31&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small delta ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.94&#949; (Mean = 1.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.3&#949; (Mean = 2.03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.43&#949; (Mean = 1.42&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small integer ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.74&#949; (Mean = 0.736&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small integer ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.451&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.451&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.15&#949; (Mean = 0.685&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                integer tgamma ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.968&#949; (Mean = 0.386&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                integer tgamma ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.853&#949; (Mean = 0.176&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.853&#949; (Mean = 0.176&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.974&#949; (Mean = 0.175&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma_incomplete_"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma_incomplete_" title="tgamma (incomplete)">tgamma
+    (incomplete)</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma_incomplete_.table_tgamma_incomplete_"></a><p class="title"><b>Table&#160;92.&#160;Error rates for tgamma (incomplete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma (incomplete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 200&#949; (Mean = 13.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.47&#949; (Mean = 1.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 412&#949; (Mean = 95.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.14&#949; (Mean = 1.76&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.753&#949; (Mean = 0.0474&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> <span class="red">Max = 1.38e+10&#949; (Mean
+                = 1.05e+09&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 0.775&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.13&#949; (Mean = 0.717&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.53&#949; (Mean = 0.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 117&#949; (Mean = 12.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.52&#949; (Mean = 1.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 79.6&#949; (Mean = 20.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.16&#949; (Mean = 1.33&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma_lower"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma_lower" title="tgamma_lower">tgamma_lower</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma_lower.table_tgamma_lower"></a><p class="title"><b>Table&#160;93.&#160;Error rates for tgamma_lower</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_lower">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.0315&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.833&#949; (Mean = 0.0315&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.79&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 363&#949; (Mean = 63.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.62&#949; (Mean = 1.49&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.555&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.558&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.525&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.83&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 84.7&#949; (Mean = 17.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.69&#949; (Mean = 0.849&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_tgamma_ratio"></a><a class="link" href="index.html#special_function_error_rates_rep.section_tgamma_ratio" title="tgamma_ratio">tgamma_ratio</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_tgamma_ratio.table_tgamma_ratio"></a><p class="title"><b>Table&#160;94.&#160;Error rates for tgamma_ratio</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_ratio">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                tgamma ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.694&#949; (Mean = 0.0347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.99&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 174&#949; (Mean = 61.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.28&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_trigamma"></a><a class="link" href="index.html#special_function_error_rates_rep.section_trigamma" title="trigamma">trigamma</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_trigamma.table_trigamma"></a><p class="title"><b>Table&#160;95.&#160;Error rates for trigamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for trigamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Mathematica Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.105&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.34e+04&#949; (Mean = 1.49e+03&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.34e+04&#949; (Mean = 1.51e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.28&#949; (Mean = 0.449&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.28&#949; (Mean = 0.449&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.382&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.section_zeta"></a><a class="link" href="index.html#special_function_error_rates_rep.section_zeta" title="zeta">zeta</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.section_zeta.table_zeta"></a><p class="title"><b>Table&#160;96.&#160;Error rates for zeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for zeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Zeta: Random values greater than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.0833&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.45&#949; (Mean = 1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 8.69&#949; (Mean = 1.03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.0833&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.093&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Random values less than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.03&#949; (Mean = 2.93&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 538&#949; (Mean = 59.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 137&#949; (Mean = 13.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 70.1&#949; (Mean = 17.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.84&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Values close to and greater than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.9e+06&#949; (Mean = 5.11e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.73&#949; (Mean = 4.07&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.994&#949; (Mean = 0.421&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Values close to and less than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.508&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.53e+06&#949; (Mean = 1.87e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.991&#949; (Mean = 0.28&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.508&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.375&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9&#949; (Mean = 3.06&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 70.3&#949; (Mean = 17.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.75&#949; (Mean = 1.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 28&#949; (Mean = 5.62&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9&#949; (Mean = 3&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.error_logs"></a><a class="link" href="index.html#special_function_error_rates_rep.error_logs" title="Error Logs">Error Logs</a>
+</h2></div></div></div>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h0"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_in"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_in">Error
+      Output For cyl_bessel_j (integer orders) with compiler Microsoft Visual C++
+      version 14.1 and library &lt;math.h&gt; and test data Bessel JN: Mathworld
+      Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_Microsoft_Visual_C_version_14_1_Win32_double_cyl_bessel_j_integer_orders___math_h__Bessel_JN_Mathworld_Data_Integer_Version_"></a>CAUTION:
+      Found non-finite result, when a finite value was expected at entry 16<br>
+      Found: -nan(ind) Expected 0 Error: 1.79769e+308<br> 10, 1e-100, 0<br> CAUTION:
+      Gross error found at entry 16.<br> Found: -nan(ind) Expected 0 Error: 1.79769e+308<br>
+      10, 1e-100, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h1"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_legendre_p_asso"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_legendre_p_asso">Error
+      Output For legendre_p (associated) with compiler GNU C++ version 7.1.0 and
+      library GSL 2.1 and test data Associated Legendre Polynomials: Small Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_legendre_p_associated__GSL_2_1_Associated_Legendre_Polynomials_Small_Values"></a>domain
+      error<br> 3.75573, -3, 0.264719, 0.0186823<br> domain error<br> 3.75573,
+      -3, 0.670017, 0.0085227<br> domain error<br> 3.75573, -3, 0.915014, 0.00136786<br>
+      domain error<br> 3.75573, -3, 0.93539, 0.000921218<br> domain error<br>
+      3.75573, -2, -0.804919, -0.035427<br> domain error<br> 3.75573, -2, -0.623236,
+      -0.0476446<br> domain error<br> 3.75573, -2, 0.629447, 0.0475072<br>
+      domain error<br> 3.75573, -2, 0.929777, 0.0157498<br> domain error<br>
+      3.75573, -2, 0.985763, 0.0034837<br> domain error<br> 3.75573, -1, 0.093763,
+      -0.118979<br> domain error<br> 4.28576, -4, 0.0944412, 0.00255792<br>
+      domain error<br> 4.28576, -4, 0.670017, 0.000790849<br> domain error<br>
+      4.28576, -3, -0.746026, -0.00458957<br> domain error<br> 4.28576, -2, -0.623236,
+      0.0219016<br> domain error<br> 4.28576, -2, 0.629447, 0.0223081<br> domain
+      error<br> 4.28576, -2, 0.93539, 0.0133504<br> domain error<br> 4.28576,
+      -1, 0.915014, 0.132001<br> domain error<br> 4.28576, -1, 0.985763, 0.0787743<br>
+      domain error<br> 4.43859, -4, 0.093763, 0.00255858<br> domain error<br>
+      4.43859, -4, 0.811584, 0.000303404<br> domain error<br> 4.43859, -4, 0.826752,
+      0.000260835<br> domain error<br> 4.43859, -4, 0.929777, 4.78235e-05<br>
+      domain error<br> 4.43859, -3, -0.804919, -0.00350364<br> domain error<br>
+      4.43859, -3, -0.729046, -0.00487043<br> domain error<br> 4.43859, -3, -0.623236,
+      -0.00620995<br> domain error<br> 4.43859, -3, 0.93539, 0.000861698<br>
+      domain error<br> 4.43859, -2, -0.557932, 0.0169167<br> domain error<br>
+      4.43859, -2, -0.443004, 0.0062586<br> domain error<br> 4.43859, -2, 0.915014,
+      0.016481<br> domain error<br> 4.43859, -1, 0.629447, -0.0138523<br> domain
+      error<br> 5.39088, -5, 0.0944412, 0.000254649<br> domain error<br> 5.39088,
+      -5, 0.264719, 0.000217164<br> domain error<br> 5.39088, -5, 0.670017, 5.87083e-05<br>
+      domain error<br> 5.39088, -5, 0.915014, 2.78273e-06<br> domain error<br>
+      5.39088, -3, 0.929777, 0.000880849<br> domain error<br> 5.39088, -2, 0.629447,
+      0.00448021<br> domain error<br> 5.39088, -2, 0.826752, 0.01718<br> domain
+      error<br> 5.39088, -2, 0.937736, 0.011583<br> domain error<br> 5.39088,
+      -1, -0.804919, 0.0276144<br> domain error<br> 5.39088, -1, -0.746026, -0.0119425<br>
+      domain error<br> 5.39088, -1, -0.443004, -0.0525987<br> domain error<br>
+      5.39088, -1, 0.811584, 0.032475<br> domain error<br> 5.39088, -1, 0.985763,
+      0.0759289<br> domain error<br> 5.97861, -5, -0.729046, 3.91223e-05<br>
+      domain error<br> 5.97861, -5, -0.383666, 0.000174899<br> domain error<br>
+      5.97861, -5, 0.93539, 1.43993e-06<br> domain error<br> 5.97861, -4, -0.623236,
+      -0.000607048<br> domain error<br> 5.97861, -4, 0.264719, 0.00059614<br>
+      domain error<br> 5.97861, -3, 0.629447, 0.00313497<br> domain error<br>
+      5.97861, -3, 0.670017, 0.00323895<br> domain error<br> 5.97861, -2, 0.915014,
+      0.0140705<br> domain error<br> 5.97861, -2, 0.992923, 0.00171356<br>
+      domain error<br> 5.97861, -1, -0.746026, -0.0119425<br> domain error<br>
+      5.97861, -1, 0.937736, 0.106972<br> domain error<br> 7.01297, -6, -0.443004,
+      -4.99177e-06<br> domain error<br> 7.01297, -6, 0.629447, 3.00689e-06<br>
+      domain error<br> 7.01297, -6, 0.811584, 7.00407e-07<br> domain error<br>
+      7.01297, -6, 0.985763, 4.83431e-10<br> domain error<br> 7.01297, -3, 0.670017,
+      0.000233323<br> domain error<br> 7.01297, -2, -0.804919, -0.0027739<br>
+      domain error<br> 7.01297, -1, -0.383666, 0.0397866<br> domain error<br>
+      7.01297, -1, 0.929777, 0.0544549<br> domain error<br> 7.54701, -7, 0.929777,
+      1.42008e-09<br> domain error<br> 7.54701, -6, 0.992923, 6.04622e-11<br>
+      domain error<br> 7.54701, -5, -0.804919, 1.18502e-05<br> domain error<br>
+      7.54701, -5, -0.623236, 2.57049e-05<br> domain error<br> 7.54701, -5, -0.557932,
+      2.60266e-05<br> domain error<br> 7.54701, -5, 0.826752, 9.64276e-06<br>
+      domain error<br> 7.54701, -4, -0.746026, -0.0001618<br> domain error<br>
+      7.54701, -3, 0.0944412, 0.000622493<br> domain error<br> 7.54701, -3, 0.985763,
+      9.14782e-05<br> domain error<br> 7.54701, -1, 0.811584, -0.0376184<br>
+      domain error<br> 11.8439, -10, -0.557932, -2.32652e-11<br> domain error<br>
+      11.8439, -10, 0.811584, 1.01194e-12<br> domain error<br> 11.8439, -8, -0.746026,
+      -1.34891e-09<br> domain error<br> 11.8439, -8, -0.729046, -1.5428e-09<br>
+      domain error<br> 11.8439, -8, 0.985763, 5.90035e-14<br> domain error<br>
+      11.8439, -4, 0.629447, -1.44723e-05<br> domain error<br> 11.8439, -4, 0.929777,
+      1.98812e-05<br> domain error<br> 11.8439, -3, 0.670017, -4.58296e-05<br>
+      domain error<br> 11.8439, -2, 0.826752, -0.00244759<br> domain error<br>
+      11.8439, -2, 0.992923, 0.00151458<br> domain error<br> 11.8439, -1, -0.383666,
+      0.00419108<br> domain error<br> 11.85, -11, 0.093763, 1.16526e-11<br>
+      domain error<br> 11.85, -11, 0.929777, 2.05797e-16<br> domain error<br>
+      11.85, -11, 0.93539, 1.32249e-16<br> domain error<br> *** FURTHER CONTENT
+      HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h2"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_legendre_p_ass0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_legendre_p_ass0">Error
+      Output For legendre_p (associated) with compiler GNU C++ version 7.1.0 and
+      library &lt;cmath&gt; and test data Associated Legendre Polynomials: Small
+      Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_legendre_p_associated___cmath__Associated_Legendre_Polynomials_Small_Values"></a>order
+      parameters less than 0 not supported in TR1<br> 3.75573, -3, 0.264719, 0.0186823<br>
+      order parameters less than 0 not supported in TR1<br> 3.75573, -3, 0.670017,
+      0.0085227<br> order parameters less than 0 not supported in TR1<br> 3.75573,
+      -3, 0.915014, 0.00136786<br> order parameters less than 0 not supported in
+      TR1<br> 3.75573, -3, 0.93539, 0.000921218<br> order parameters less than
+      0 not supported in TR1<br> 3.75573, -2, -0.804919, -0.035427<br> order
+      parameters less than 0 not supported in TR1<br> 3.75573, -2, -0.623236, -0.0476446<br>
+      order parameters less than 0 not supported in TR1<br> 3.75573, -2, 0.629447,
+      0.0475072<br> order parameters less than 0 not supported in TR1<br> 3.75573,
+      -2, 0.929777, 0.0157498<br> order parameters less than 0 not supported in
+      TR1<br> 3.75573, -2, 0.985763, 0.0034837<br> order parameters less than
+      0 not supported in TR1<br> 3.75573, -1, 0.093763, -0.118979<br> order parameters
+      less than 0 not supported in TR1<br> 4.28576, -4, 0.0944412, 0.00255792<br>
+      order parameters less than 0 not supported in TR1<br> 4.28576, -4, 0.670017,
+      0.000790849<br> order parameters less than 0 not supported in TR1<br> 4.28576,
+      -3, -0.746026, -0.00458957<br> order parameters less than 0 not supported
+      in TR1<br> 4.28576, -2, -0.623236, 0.0219016<br> order parameters less
+      than 0 not supported in TR1<br> 4.28576, -2, 0.629447, 0.0223081<br> order
+      parameters less than 0 not supported in TR1<br> 4.28576, -2, 0.93539, 0.0133504<br>
+      order parameters less than 0 not supported in TR1<br> 4.28576, -1, 0.915014,
+      0.132001<br> order parameters less than 0 not supported in TR1<br> 4.28576,
+      -1, 0.985763, 0.0787743<br> order parameters less than 0 not supported in
+      TR1<br> 4.43859, -4, 0.093763, 0.00255858<br> order parameters less than
+      0 not supported in TR1<br> 4.43859, -4, 0.811584, 0.000303404<br> order
+      parameters less than 0 not supported in TR1<br> 4.43859, -4, 0.826752, 0.000260835<br>
+      order parameters less than 0 not supported in TR1<br> 4.43859, -4, 0.929777,
+      4.78235e-05<br> order parameters less than 0 not supported in TR1<br> 4.43859,
+      -3, -0.804919, -0.00350364<br> order parameters less than 0 not supported
+      in TR1<br> 4.43859, -3, -0.729046, -0.00487043<br> order parameters less
+      than 0 not supported in TR1<br> 4.43859, -3, -0.623236, -0.00620995<br>
+      order parameters less than 0 not supported in TR1<br> 4.43859, -3, 0.93539,
+      0.000861698<br> order parameters less than 0 not supported in TR1<br> 4.43859,
+      -2, -0.557932, 0.0169167<br> order parameters less than 0 not supported in
+      TR1<br> 4.43859, -2, -0.443004, 0.0062586<br> order parameters less than
+      0 not supported in TR1<br> 4.43859, -2, 0.915014, 0.016481<br> order parameters
+      less than 0 not supported in TR1<br> 4.43859, -1, 0.629447, -0.0138523<br>
+      order parameters less than 0 not supported in TR1<br> 5.39088, -5, 0.0944412,
+      0.000254649<br> order parameters less than 0 not supported in TR1<br> 5.39088,
+      -5, 0.264719, 0.000217164<br> order parameters less than 0 not supported
+      in TR1<br> 5.39088, -5, 0.670017, 5.87083e-05<br> order parameters less
+      than 0 not supported in TR1<br> 5.39088, -5, 0.915014, 2.78273e-06<br>
+      order parameters less than 0 not supported in TR1<br> 5.39088, -3, 0.929777,
+      0.000880849<br> order parameters less than 0 not supported in TR1<br> 5.39088,
+      -2, 0.629447, 0.00448021<br> order parameters less than 0 not supported in
+      TR1<br> 5.39088, -2, 0.826752, 0.01718<br> order parameters less than 0
+      not supported in TR1<br> 5.39088, -2, 0.937736, 0.011583<br> order parameters
+      less than 0 not supported in TR1<br> 5.39088, -1, -0.804919, 0.0276144<br>
+      order parameters less than 0 not supported in TR1<br> 5.39088, -1, -0.746026,
+      -0.0119425<br> order parameters less than 0 not supported in TR1<br> 5.39088,
+      -1, -0.443004, -0.0525987<br> order parameters less than 0 not supported
+      in TR1<br> 5.39088, -1, 0.811584, 0.032475<br> order parameters less than
+      0 not supported in TR1<br> 5.39088, -1, 0.985763, 0.0759289<br> order parameters
+      less than 0 not supported in TR1<br> 5.97861, -5, -0.729046, 3.91223e-05<br>
+      order parameters less than 0 not supported in TR1<br> 5.97861, -5, -0.383666,
+      0.000174899<br> order parameters less than 0 not supported in TR1<br> 5.97861,
+      -5, 0.93539, 1.43993e-06<br> order parameters less than 0 not supported in
+      TR1<br> 5.97861, -4, -0.623236, -0.000607048<br> order parameters less
+      than 0 not supported in TR1<br> 5.97861, -4, 0.264719, 0.00059614<br> order
+      parameters less than 0 not supported in TR1<br> 5.97861, -3, 0.629447, 0.00313497<br>
+      *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h3"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_wi"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_wi">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel Iv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_Iv_Mathworld_Data_large_values_"></a>CAUTION:
+      Gross error found at entry 0.<br> Found: 0 Expected 1.86459e-155 Error: 8.37988e+152<br>
+      -1, 3.72917e-155, 1.86459e-155<br> CAUTION: Gross error found at entry 1.<br>
+      Found: 0 Expected 1.86459e-155 Error: 8.37988e+152<br> 1, 3.72917e-155, 1.86459e-155<br>
+      CAUTION: Gross error found at entry 3.<br> Found: 0 Expected 8.02269e-175
+      Error: 3.60559e+133<br> 1.125, 3.72917e-155, 8.02269e-175<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h4"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_in"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_in">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel In: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_In_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> -5, -1, -0.000271463<br> Unsupported domain<br> 10, -5, 0.00458004<br>
+      Unsupported domain<br> -100, -200, 4.35275e+74<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h5"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i0">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel I1: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I1_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> 1, -2, -1.59064<br> Unsupported domain<br> 1, -8, -399.873<br>
+      Unsupported domain<br> 1, -10, -2670.99<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h6"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i1">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel I0: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I0_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> 0, -2, 2.27959<br> Unsupported domain<br> 0, -7, 168.594<br>
+      Unsupported domain<br> 0, -1, 1.26607<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h7"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w0">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel In: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_In_Mathworld_Data"></a>Unsupported
+      domain<br> -5, -1, -0.000271463<br> Unsupported domain<br> 10, -5, 0.00458004<br>
+      Unsupported domain<br> -100, -200, 4.35275e+74<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h8"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w1">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel I1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I1_Mathworld_Data"></a>Unsupported
+      domain<br> 1, -2, -1.59064<br> Unsupported domain<br> 1, -8, -399.873<br>
+      Unsupported domain<br> 1, -10, -2670.99<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h9"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w2">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel I0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I0_Mathworld_Data"></a>Unsupported
+      domain<br> 0, -2, 2.27959<br> Unsupported domain<br> 0, -7, 168.594<br>
+      Unsupported domain<br> 0, -1, 1.26607<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h10"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_wi"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_wi">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel J: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J_Mathworld_Data"></a>CAUTION:
+      Gross error found at entry 6.<br> Found: 0 Expected -0.000747424 Error: 3.3591e+304<br>
+      5.5, 1e+06, -0.000747424<br> CAUTION: Gross error found at entry 7.<br>
+      Found: 0 Expected -0.0007766 Error: 3.49022e+304<br> 5.125, 1e+06, -0.0007766<br>
+      CAUTION: Gross error found at entry 8.<br> Found: 0 Expected -0.000466323
+      Error: 2.09576e+304<br> 5.875, 1e+06, -0.000466323<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h11"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i0">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel JN: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_JN_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> 5, -10, 0.234062<br> CAUTION: Gross error found at entry 6.<br>
+      Found: 0 Expected 0.000725964 Error: 3.26265e+304<br> -5, 1e+06, 0.000725964<br>
+      CAUTION: Gross error found at entry 7.<br> Found: 0 Expected -0.000725964
+      Error: 3.26265e+304<br> 5, 1e+06, -0.000725964<br> Unsupported domain<br>
+      -5, -1, 0.000249758<br> Unsupported domain<br> 10, -10, 0.207486<br>
+      Unsupported domain<br> 10, -5, 0.0014678<br> CAUTION: Gross error found
+      at entry 12.<br> Found: 0 Expected -0.000331079 Error: 1.48795e+304<br>
+      -10, 1e+06, -0.000331079<br> CAUTION: Gross error found at entry 13.<br>
+      Found: 0 Expected -0.000331079 Error: 1.48795e+304<br> 10, 1e+06, -0.000331079<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h12"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i1">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel J1: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J1_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> 1, -2, -0.576725<br> Unsupported domain<br> 1, -8, -0.234636<br>
+      Unsupported domain<br> 1, -10, -0.0434727<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h13"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i2">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Bessel J0: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J0_Mathworld_Data_Integer_Version_"></a>Unsupported
+      domain<br> 0, -2, 0.223891<br> Unsupported domain<br> 0, -8, 0.171651<br>
+      Unsupported domain<br> 0, -10, -0.245936<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h14"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w0">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel JN: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_JN_Mathworld_Data"></a>Unsupported
+      domain<br> 5, -10, 0.234062<br> CAUTION: Gross error found at entry 6.<br>
+      Found: 0 Expected 0.000725964 Error: 3.26265e+304<br> -5, 1e+06, 0.000725964<br>
+      CAUTION: Gross error found at entry 7.<br> Found: 0 Expected -0.000725964
+      Error: 3.26265e+304<br> 5, 1e+06, -0.000725964<br> Unsupported domain<br>
+      -5, -1, 0.000249758<br> Unsupported domain<br> 10, -10, 0.207486<br>
+      Unsupported domain<br> 10, -5, 0.0014678<br> CAUTION: Gross error found
+      at entry 12.<br> Found: 0 Expected -0.000331079 Error: 1.48795e+304<br>
+      -10, 1e+06, -0.000331079<br> CAUTION: Gross error found at entry 13.<br>
+      Found: 0 Expected -0.000331079 Error: 1.48795e+304<br> 10, 1e+06, -0.000331079<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h15"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w1">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel J1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J1_Mathworld_Data"></a>Unsupported
+      domain<br> 1, -2, -0.576725<br> Unsupported domain<br> 1, -8, -0.234636<br>
+      Unsupported domain<br> 1, -10, -0.0434727<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h16"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w2">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Bessel J0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J0_Mathworld_Data"></a>Unsupported
+      domain<br> 0, -2, 0.223891<br> Unsupported domain<br> 0, -8, 0.171651<br>
+      Unsupported domain<br> 0, -10, -0.245936<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h17"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ibetac_inv_with"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ibetac_inv_with">Error
+      Output For ibetac_inv with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Inverse incomplete beta</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ibetac_inv_Rmath_3_2_3_Inverse_incomplete_beta"></a>CAUTION:
+      Gross error found at entry 7.<br> Found: 3.8247e-302 Expected 0 Error: 1.71891e+06<br>
+      1.38853e-05, 0.0497627, 0.632396, 0, 0<br> CAUTION: Gross error found at
+      entry 71.<br> Found: 1.38362e-204 Expected 0 Error: 6.21832e+103<br> 3.77931e-05,
+      0.0150073, 0.835025, 0, 0<br> CAUTION: Gross error found at entry 90.<br>
+      Found: 1.09275e-303 Expected 0 Error: 49109.6<br> 4.29383e-05, 0.0428761,
+      0.814742, 0, 0<br> CAUTION: Gross error found at entry 102.<br> Found:
+      3.8625e-304 Expected 0 Error: 17358<br> 4.80089e-05, 0.0296236, 0.913384,
+      0, 0<br> CAUTION: Gross error found at entry 115.<br> Found: 1.51774e-303
+      Expected 0 Error: 68209.8<br> 0.000130387, 0.0404969, 0.814742, 0, 0<br>
+      CAUTION: Gross error found at entry 123.<br> Found: 1.28036e-303 Expected
+      0 Error: 57541.4<br> 0.000149328, 0.0201182, 0.905801, 5.70765e-267, 0<br>
+      CAUTION: Gross error found at entry 133.<br> Found: 1.96732e-302 Expected
+      0 Error: 884160<br> 0.000173563, 0.0301908, 0.913384, 4.21662e-213, 0<br>
+      CAUTION: Gross error found at entry 159.<br> Found: 1.48697e-191 Expected
+      0 Error: 6.68279e+116<br> 0.000260723, 0.0252933, 0.632396, 0, 0<br> CAUTION:
+      Gross error found at entry 256.<br> Found: 9.24166e-245 Expected 0 Error:
+      4.15342e+63<br> 0.00246975, 0.016063, 0.913384, 1, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h18"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ibeta_inv_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ibeta_inv_with_">Error
+      Output For ibeta_inv with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Inverse incomplete beta</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ibeta_inv_Rmath_3_2_3_Inverse_incomplete_beta"></a>CAUTION:
+      Gross error found at entry 1.<br> Found: 1.90197e-247 Expected 0 Error: 8.54789e+60<br>
+      1.12733e-05, 0.022662, 0.135563, 0, 0<br> CAUTION: Gross error found at entry
+      30.<br> Found: 1.36217e-301 Expected 0 Error: 6.12191e+06<br> 2.10769e-05,
+      0.0448972, 0.221112, 0, 0<br> CAUTION: Gross error found at entry 152.<br>
+      Found: 2.92621e-285 Expected 0 Error: 1.31511e+23<br> 0.000240381, 0.017982,
+      0.221112, 0, 0<br> CAUTION: Gross error found at entry 184.<br> Found:
+      5.63355e-203 Expected 0 Error: 2.53185e+105<br> 0.000348822, 0.0275467, 0.135563,
+      0, 1.88165e-166<br> CAUTION: Gross error found at entry 205.<br> Found:
+      5.52731e-303 Expected 0 Error: 248409<br> 0.000441212, 0.0313573, 0.127074,
+      0, 9.07221e-121<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h19"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_bet"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_bet">Error
+      Output For non central beta CDF complement with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Non Central Beta, large parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_large_parameters"></a>CAUTION:
+      Gross error found at entry 10.<br> Found: 9.76918e-10 Expected 1.61248e-15
+      Error: 605846<br> 290.682, 72.6705, 20005.4, 0.997663, 1, 1.61248e-15<br>
+      CAUTION: Gross error found at entry 11.<br> Found: 9.94184e-10 Expected 3.0108e-42
+      Error: 3.30205e+32<br> 290.682, 145.341, 53489.1, 0.998663, 1, 3.0108e-42<br>
+      CAUTION: Gross error found at entry 16.<br> Found: 8.45406e-10 Expected 4.46652e-22
+      Error: 1.89276e+12<br> 290.682, 1162.73, 2308.07, 0.656921, 1, 4.46652e-22<br>
+      CAUTION: Gross error found at entry 17.<br> Found: 9.41971e-10 Expected 1.7241e-50
+      Error: 5.46356e+40<br> 290.682, 1453.41, 8064.48, 0.832237, 1, 1.7241e-50<br>
+      CAUTION: Gross error found at entry 18.<br> Found: 9.30663e-10 Expected 2.09803e-305
+      Error: 4.43589e+295<br> 975.766, 731.824, 232.285, 0.919742, 1, 2.09803e-305<br>
+      CAUTION: Gross error found at entry 27.<br> Found: 9.76918e-10 Expected 9.3474e-18
+      Error: 1.04512e+08<br> 1879.05, 187.905, 20005.4, 0.992215, 1, 9.3474e-18<br>
+      CAUTION: Gross error found at entry 28.<br> Found: 9.94184e-10 Expected 1.8122e-90
+      Error: 5.48607e+80<br> 1879.05, 469.762, 53489.1, 0.994618, 1, 1.8122e-90<br>
+      CAUTION: Gross error found at entry 32.<br> Found: 9.27224e-10 Expected 3.18255e-15
+      Error: 291345<br> 1879.05, 3758.1, 1879.05, 0.480508, 1, 3.18255e-15<br>
+      CAUTION: Gross error found at entry 33.<br> Found: 8.45406e-10 Expected 1.10218e-77
+      Error: 7.67029e+67<br> 1879.05, 5637.15, 2308.07, 0.458181, 1, 1.10218e-77<br>
+      CAUTION: Gross error found at entry 34.<br> Found: 9.30663e-10 Expected 0
+      Error: 4.18262e+298<br> 2308.07, 1154.03, 232.285, 0.919371, 1, 0<br> CAUTION:
+      Gross error found at entry 35.<br> Found: 8.93617e-10 Expected 0 Error: 4.01612e+298<br>
+      2308.07, 1731.05, 290.682, 0.917262, 1, 0<br> CAUTION: Gross error found
+      at entry 43.<br> Found: 9.94184e-10 Expected 3.57283e-70 Error: 2.78262e+60<br>
+      8064.48, 806.448, 53489.1, 0.988678, 1, 3.57283e-70<br> CAUTION: Gross error
+      found at entry 48.<br> Found: 8.45406e-10 Expected 8.78057e-74 Error: 9.62814e+63<br>
+      8064.48, 16129, 2308.07, 0.421531, 1, 8.78057e-74<br> CAUTION: Gross error
+      found at entry 49.<br> Found: 9.30663e-10 Expected 0 Error: 4.18262e+298<br>
+      15674.4, 3918.59, 232.285, 0.933726, 1, 0<br> CAUTION: Gross error found
+      at entry 50.<br> Found: 8.93617e-10 Expected 0 Error: 4.01612e+298<br>
+      15674.4, 7837.19, 290.682, 0.917179, 1, 0<br> CAUTION: Gross error found
+      at entry 51.<br> Found: 8.9318e-10 Expected 0 Error: 4.01416e+298<br> 15674.4,
+      11755.8, 975.766, 0.915784, 1, 0<br> CAUTION: Gross error found at entry
+      63.<br> Found: 9.41971e-10 Expected 2.31296e-171 Error: 4.07258e+161<br>
+      20005.4, 40010.8, 8064.48, 0.432094, 1, 2.31296e-171<br> CAUTION: Gross error
+      found at entry 64.<br> Found: 9.30663e-10 Expected 0 Error: 4.18262e+298<br>
+      53489.1, 5348.92, 232.285, 0.954635, 1, 0<br> CAUTION: Gross error found
+      at entry 65.<br> Found: 8.93617e-10 Expected 0 Error: 4.01612e+298<br>
+      53489.1, 13372.3, 290.682, 0.933478, 1, 0<br> CAUTION: Gross error found
+      at entry 66.<br> Found: 8.9318e-10 Expected 0 Error: 4.01416e+298<br> 53489.1,
+      26744.6, 975.766, 0.91717, 1, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h20"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_be0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_be0">Error
+      Output For non central beta CDF with compiler GNU C++ version 7.1.0 and library
+      Rmath 3.2.3 and test data Non Central Beta, large parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_large_parameters"></a>CAUTION:
+      Gross error found at entry 0.<br> Found: 9.1136e-209 Expected 5.82279e-200
+      Error: 6.38913e+08<br> 232.285, 209.056, 232.285, 0.062486, 5.82279e-200,
+      1<br> CAUTION: Gross error found at entry 1.<br> Found: 4.08108e-115 Expected
+      2.37643e-112 Error: 581.304<br> 232.285, 229.962, 290.682, 0.155342, 2.37643e-112,
+      1<br> CAUTION: Gross error found at entry 2.<br> Found: 1.07549e-93 Expected
+      9.53431e-89 Error: 88650<br> 232.285, 232.052, 975.766, 0.378086, 9.53431e-89,
+      1<br> CAUTION: Gross error found at entry 3.<br> Found: 2.58402e-54 Expected
+      8.27353e-53 Error: 31.0181<br> 232.285, 232.285, 1879.05, 0.625865, 8.27353e-53,
+      1<br> CAUTION: Gross error found at entry 4.<br> Found: 1.93718e-19 Expected
+      6.64275e-16 Error: 3428.08<br> 232.285, 232.308, 2308.07, 0.770774, 6.64275e-16,
+      1<br> CAUTION: Gross error found at entry 21.<br> Found: 8.12962e-240 Expected
+      1.82294e-219 Error: 2.24234e+20<br> 975.766, 974.79, 1879.05, 0.331337, 1.82294e-219,
+      1<br> CAUTION: Gross error found at entry 22.<br> Found: 3.47274e-69 Expected
+      1.42183e-67 Error: 39.9426<br> 975.766, 975.766, 2308.07, 0.514323, 1.42183e-67,
+      1<br> CAUTION: Gross error found at entry 23.<br> Found: 5.86885e-50 Expected
+      1.27896e-47 Error: 216.923<br> 975.766, 975.863, 8064.48, 0.753209, 1.27896e-47,
+      1<br> CAUTION: Gross error found at entry 39.<br> Found: 4.82785e-230 Expected
+      1.25446e-213 Error: 2.59838e+16<br> 2308.07, 2308.07, 8064.48, 0.54983, 1.25446e-213,
+      1<br> CAUTION: Gross error found at entry 40.<br> Found: 1.22971e-87 Expected
+      1.82618e-85 Error: 147.505<br> 2308.07, 2308.3, 15674.4, 0.733174, 1.82618e-85,
+      1<br> CAUTION: Gross error found at entry 56.<br> Found: 2.97337e-127 Expected
+      2.56068e-124 Error: 860.205<br> 15674.4, 15675.9, 20005.4, 0.55883, 2.56068e-124,
+      1<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h21"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_be1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_be1">Error
+      Output For non central beta CDF complement with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Non Central Beta, medium parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_medium_parameters"></a>CAUTION:
+      Gross error found at entry 296.<br> Found: 9.44166e-10 Expected 6.22975e-10
+      Error: 0.515577<br> 22.9367, 114.683, 19.5081, 0.480981, 1, 6.22975e-10<br>
+      CAUTION: Gross error found at entry 369.<br> Found: 2.52234e-10 Expected
+      1.40246e-10 Error: 0.79851<br> 27.5277, 20.6457, 0.956697, 0.915111, 1, 1.40246e-10<br>
+      CAUTION: Gross error found at entry 429.<br> Found: 1.18105e-09 Expected
+      7.45745e-10 Error: 0.58372<br> 28.8063, 21.6047, 60.3826, 0.946143, 1, 7.45745e-10<br>
+      CAUTION: Gross error found at entry 430.<br> Found: 2.44435e-09 Expected
+      1.60695e-09 Error: 0.521115<br> 28.8063, 21.6047, 148.129, 0.965121, 1, 1.60695e-09<br>
+      CAUTION: Gross error found at entry 477.<br> Found: 7.57435e-10 Expected
+      7.14133e-11 Error: 9.60635<br> 28.8063, 144.032, 42.3849, 0.504845, 1, 7.14133e-11<br>
+      CAUTION: Gross error found at entry 489.<br> Found: 4.8561e-10 Expected 5.62991e-11
+      Error: 7.62553<br> 31.9438, 23.9579, 44.2068, 0.93835, 1, 5.62991e-11<br>
+      CAUTION: Gross error found at entry 490.<br> Found: 8.35187e-10 Expected
+      1.87483e-10 Error: 3.45473<br> 31.9438, 23.9579, 135.747, 0.961117, 1, 1.87483e-10<br>
+      CAUTION: Gross error found at entry 491.<br> Found: 1.00174e-09 Expected
+      2.38491e-10 Error: 3.20032<br> 31.9438, 23.9579, 191.501, 0.968273, 1, 2.38491e-10<br>
+      CAUTION: Gross error found at entry 537.<br> Found: 7.29746e-10 Expected
+      1.31223e-12 Error: 555.111<br> 31.9438, 159.719, 34.2373, 0.489796, 1, 1.31223e-12<br>
+      CAUTION: Gross error found at entry 538.<br> Found: 2.49663e-09 Expected
+      1.54239e-09 Error: 0.618681<br> 31.9438, 159.719, 126.472, 0.581861, 1, 1.54239e-09<br>
+      CAUTION: Gross error found at entry 549.<br> Found: 4.16125e-10 Expected
+      4.8536e-13 Error: 856.353<br> 38.0822, 28.5617, 34.773, 0.931853, 1, 4.8536e-13<br>
+      CAUTION: Gross error found at entry 550.<br> Found: 9.69907e-10 Expected
+      2.87054e-12 Error: 336.883<br> 38.0822, 28.5617, 127.953, 0.956104, 1, 2.87054e-12<br>
+      CAUTION: Gross error found at entry 551.<br> Found: 5.90132e-10 Expected
+      4.08361e-12 Error: 143.512<br> 38.0822, 28.5617, 183.147, 0.963764, 1, 4.08361e-12<br>
+      CAUTION: Gross error found at entry 597.<br> Found: 4.67033e-10 Expected
+      9.82939e-16 Error: 475139<br> 38.0822, 190.411, 27.0954, 0.475419, 1, 9.82939e-16<br>
+      CAUTION: Gross error found at entry 598.<br> Found: 9.33207e-10 Expected
+      4.03465e-12 Error: 230.298<br> 38.0822, 190.411, 100.733, 0.544491, 1, 4.03465e-12<br>
+      CAUTION: Gross error found at entry 599.<br> Found: 7.4092e-10 Expected 9.53942e-11
+      Error: 6.76693<br> 38.0822, 190.411, 169.826, 0.594614, 1, 9.53942e-11<br>
+      CAUTION: Gross error found at entry 609.<br> Found: 5.71813e-10 Expected
+      1.17207e-14 Error: 48785.7<br> 42.7789, 32.0842, 28.3773, 0.927814, 1, 1.17207e-14<br>
+      CAUTION: Gross error found at entry 610.<br> Found: 5.16834e-10 Expected
+      9.62679e-14 Error: 5367.71<br> 42.7789, 32.0842, 109.376, 0.950307, 1, 9.62679e-14<br>
+      CAUTION: Gross error found at entry 611.<br> Found: 6.08012e-10 Expected
+      1.7454e-13 Error: 3482.51<br> 42.7789, 32.0842, 175.686, 0.960431, 1, 1.7454e-13<br>
+      CAUTION: Gross error found at entry 657.<br> Found: 5.59489e-10 Expected
+      2.86344e-18 Error: 1.95391e+08<br> 42.7789, 213.895, 21.9724, 0.467166, 1,
+      2.86344e-18<br> CAUTION: Gross error found at entry 658.<br> Found: 5.14798e-10
+      Expected 2.50972e-14 Error: 20511.2<br> 42.7789, 213.895, 84.4175, 0.522676,
+      1, 2.50972e-14<br> CAUTION: Gross error found at entry 659.<br> Found:
+      8.49991e-10 Expected 2.38005e-12 Error: 356.131<br> 42.7789, 213.895, 160.056,
+      0.576191, 1, 2.38005e-12<br> CAUTION: Gross error found at entry 671.<br>
+      Found: 3.03281e-10 Expected 2.22036e-15 Error: 136590<br> 44.5963, 33.4472,
+      22.4929, 0.924976, 1, 2.22036e-15<br> CAUTION: Gross error found at entry
+      672.<br> Found: 8.40636e-10 Expected 2.22384e-14 Error: 37800.1<br> 44.5963,
+      33.4472, 94.9517, 0.946545, 1, 2.22384e-14<br> CAUTION: Gross error found
+      at entry 673.<br> Found: 8.15021e-10 Expected 4.75974e-14 Error: 17122.2<br>
+      44.5963, 33.4472, 162.945, 0.95793, 1, 4.75974e-14<br> CAUTION: Gross error
+      found at entry 716.<br> Found: 1.11988e-10 Expected 2.84965e-22 Error: 3.92989e+11<br>
+      44.5963, 222.981, 0.956697, 0.445432, 1, 2.84965e-22<br> CAUTION: Gross error
+      found at entry 717.<br> Found: 7.99524e-10 Expected 3.04552e-15 Error: 262523<br>
+      44.5963, 222.981, 78.4454, 0.515267, 1, 3.04552e-15<br> CAUTION: Gross error
+      found at entry 718.<br> Found: 8.0958e-10 Expected 5.89458e-13 Error: 1372.43<br>
+      44.5963, 222.981, 158.441, 0.57107, 1, 5.89458e-13<br> *** FURTHER CONTENT
+      HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h22"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_be2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_be2">Error
+      Output For non central beta CDF with compiler GNU C++ version 7.1.0 and library
+      Rmath 3.2.3 and test data Non Central Beta, medium parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_medium_parameters"></a>CAUTION:
+      Gross error found at entry 14.<br> Found: 4.64669e-35 Expected 7.14875e-33
+      Error: 152.846<br> 1.45431, 1.30887, 158.441, 0.0983847, 7.14875e-33, 1<br>
+      CAUTION: Gross error found at entry 15.<br> Found: 4.66674e-46 Expected 3.13332e-40
+      Error: 671416<br> 1.45431, 1.30887, 196.222, 0.09869, 3.13332e-40, 1<br>
+      CAUTION: Gross error found at entry 18.<br> Found: 5.84342e-28 Expected 3.61559e-27
+      Error: 5.18745<br> 1.45431, 1.43976, 159.586, 0.245596, 3.61559e-27, 1<br>
+      CAUTION: Gross error found at entry 19.<br> Found: 1.72833e-34 Expected 1.76943e-33
+      Error: 9.2378<br> 1.45431, 1.43976, 198.576, 0.246444, 1.76943e-33, 1<br>
+      CAUTION: Gross error found at entry 22.<br> Found: 1.76915e-19 Expected 3.69506e-18
+      Error: 19.8861<br> 1.45431, 1.45285, 159.621, 0.491116, 3.69506e-18, 1<br>
+      CAUTION: Gross error found at entry 23.<br> Found: 2.52007e-25 Expected 2.00482e-22
+      Error: 794.544<br> 1.45431, 1.45285, 199.292, 0.492849, 2.00482e-22, 1<br>
+      CAUTION: Gross error found at entry 73.<br> Found: 2.04477e-34 Expected 2.45287e-33
+      Error: 10.9958<br> 7.62448, 6.86203, 148.129, 0.0921776, 2.45287e-33, 1<br>
+      CAUTION: Gross error found at entry 74.<br> Found: 2.36587e-46 Expected 7.32638e-42
+      Error: 30966<br> 7.62448, 6.86203, 193.539, 0.093784, 7.32638e-42, 1<br>
+      CAUTION: Gross error found at entry 76.<br> Found: 3.29122e-26 Expected 7.418e-25
+      Error: 21.5387<br> 7.62448, 7.54824, 148.626, 0.228717, 7.418e-25, 1<br>
+      CAUTION: Gross error found at entry 77.<br> Found: 1.70126e-32 Expected 1.07666e-31
+      Error: 5.32864<br> 7.62448, 7.54824, 193.774, 0.23303, 1.07666e-31, 1<br>
+      CAUTION: Gross error found at entry 79.<br> Found: 1.3478e-15 Expected 4.21836e-15
+      Error: 2.12982<br> 7.62448, 7.61686, 151.548, 0.457773, 4.21836e-15, 1<br>
+      CAUTION: Gross error found at entry 80.<br> Found: 8.78487e-21 Expected 3.41238e-19
+      Error: 37.8438<br> 7.62448, 7.61686, 194.119, 0.465826, 3.41238e-19, 1<br>
+      CAUTION: Gross error found at entry 132.<br> Found: 3.85783e-23 Expected
+      1.54142e-22 Error: 2.99555<br> 19.9593, 17.9634, 44.2068, 0.0698905, 1.54142e-22,
+      1<br> CAUTION: Gross error found at entry 133.<br> Found: 8.6122e-39 Expected
+      3.94361e-38 Error: 3.5791<br> 19.9593, 17.9634, 135.747, 0.0829178, 3.94361e-38,
+      1<br> CAUTION: Gross error found at entry 134.<br> Found: 3.61781e-52 Expected
+      3.98669e-48 Error: 11018.6<br> 19.9593, 17.9634, 191.501, 0.0864897, 3.98669e-48,
+      1<br> CAUTION: Gross error found at entry 135.<br> Found: 2.07122e-15 Expected
+      7.08614e-15 Error: 2.42124<br> 19.9593, 19.7597, 55.6996, 0.176444, 7.08614e-15,
+      1<br> CAUTION: Gross error found at entry 136.<br> Found: 2.28223e-27 Expected
+      2.16759e-25 Error: 93.977<br> 19.9593, 19.7597, 136.272, 0.20393, 2.16759e-25,
+      1<br> CAUTION: Gross error found at entry 137.<br> Found: 6.4251e-34 Expected
+      4.0064e-33 Error: 5.23554<br> 19.9593, 19.7597, 191.898, 0.213398, 4.0064e-33,
+      1<br> CAUTION: Gross error found at entry 139.<br> Found: 2.1734e-14 Expected
+      4.65637e-14 Error: 1.14243<br> 19.9593, 19.9394, 145.168, 0.410858, 4.65637e-14,
+      1<br> CAUTION: Gross error found at entry 140.<br> Found: 2.18388e-19 Expected
+      5.1677e-18 Error: 22.663<br> 19.9593, 19.9394, 192.978, 0.426523, 5.1677e-18,
+      1<br> CAUTION: Gross error found at entry 192.<br> Found: 3.29537e-23 Expected
+      8.29996e-23 Error: 1.51867<br> 22.4174, 20.1757, 34.773, 0.0661999, 8.29996e-23,
+      1<br> CAUTION: Gross error found at entry 193.<br> Found: 7.86091e-39 Expected
+      2.77686e-38 Error: 2.5325<br> 22.4174, 20.1757, 127.953, 0.0809614, 2.77686e-38,
+      1<br> CAUTION: Gross error found at entry 194.<br> Found: 3.0161e-51 Expected
+      4.5396e-48 Error: 1504.12<br> 22.4174, 20.1757, 183.147, 0.0848857, 4.5396e-48,
+      1<br> CAUTION: Gross error found at entry 195.<br> Found: 3.08022e-14 Expected
+      1.42713e-13 Error: 3.6332<br> 22.4174, 22.1932, 37.6764, 0.162145, 1.42713e-13,
+      1<br> CAUTION: Gross error found at entry 196.<br> Found: 8.89935e-28 Expected
+      2.56187e-25 Error: 286.871<br> 22.4174, 22.1932, 131.096, 0.199361, 2.56187e-25,
+      1<br> CAUTION: Gross error found at entry 197.<br> Found: 9.34392e-34 Expected
+      6.14831e-33 Error: 5.58001<br> 22.4174, 22.1932, 186.799, 0.209601, 6.14831e-33,
+      1<br> CAUTION: Gross error found at entry 199.<br> Found: 2.79341e-13 Expected
+      4.79277e-13 Error: 0.71574<br> 22.4174, 22.395, 131.148, 0.398015, 4.79277e-13,
+      1<br> CAUTION: Gross error found at entry 200.<br> Found: 3.13989e-19 Expected
+      7.01608e-18 Error: 21.345<br> 22.4174, 22.395, 191.433, 0.419933, 7.01608e-18,
+      1<br> *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h23"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_chi"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_chi">Error
+      Output For non central chi squared CDF complement with compiler GNU C++ version
+      7.1.0 and library Rmath 3.2.3 and test data Non Central Chi Squared, large
+      parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_large_parameters"></a>CAUTION:
+      Gross error found at entry 12.<br> Found: 0 Expected 1.17655e-12 Error: 5.28771e+295<br>
+      101.815, 5236.73, 6406.25, 1, 1.17655e-12<br> CAUTION: Gross error found
+      at entry 13.<br> Found: 0 Expected 1.79374e-44 Error: 8.06149e+263<br>
+      101.815, 9735.22, 12788.2, 1, 1.79374e-44<br> CAUTION: Gross error found
+      at entry 35.<br> Found: 2.58682e-14 Expected 1.84404e-61 Error: 1.4028e+47<br>
+      107.623, 122.456, 920.317, 1, 1.84404e-61<br> CAUTION: Gross error found
+      at entry 36.<br> Found: 0 Expected 2.30757e-102 Error: 1.03707e+206<br>
+      107.623, 156.292, 1319.58, 1, 2.30757e-102<br> CAUTION: Gross error found
+      at entry 52.<br> Found: 0 Expected 6.40952e-24 Error: 2.88059e+284<br>
+      114.68, 417.884, 1065.13, 1, 6.40952e-24<br> CAUTION: Gross error found at
+      entry 53.<br> Found: 0 Expected 1.02366e-98 Error: 4.60058e+209<br> 114.68,
+      669.781, 2353.38, 1, 1.02366e-98<br> CAUTION: Gross error found at entry
+      69.<br> Found: 0 Expected 6.55726e-39 Error: 2.94699e+269<br> 118.032,
+      3168.71, 4930.11, 1, 6.55726e-39<br> CAUTION: Gross error found at entry
+      85.<br> Found: 0 Expected 7.30688e-22 Error: 3.28388e+286<br> 163.004,
+      9735.22, 11877.9, 1, 7.30688e-22<br> CAUTION: Gross error found at entry
+      86.<br> Found: 0 Expected 1.17171e-111 Error: 5.26596e+196<br> 163.004,
+      25344.1, 33159.2, 1, 1.17171e-111<br> CAUTION: Gross error found at entry
+      108.<br> Found: 1.12355e-13 Expected 2.67349e-61 Error: 4.20255e+47<br>
+      256.292, 122.456, 1136.25, 1, 2.67349e-61<br> CAUTION: Gross error found
+      at entry 109.<br> Found: 1.16462e-13 Expected 8.30595e-116 Error: 1.40216e+102<br>
+      256.292, 156.292, 1650.34, 1, 8.30595e-116<br> CAUTION: Gross error found
+      at entry 124.<br> Found: 1.05804e-13 Expected 1.01672e-15 Error: 103.064<br>
+      517.884, 417.884, 1403.65, 1, 1.01672e-15<br> CAUTION: Gross error found
+      at entry 125.<br> Found: 2.00728e-13 Expected 3.50192e-56 Error: 5.73194e+42<br>
+      517.884, 669.781, 2375.33, 1, 3.50192e-56<br> CAUTION: Gross error found
+      at entry 141.<br> Found: 0 Expected 1.36924e-20 Error: 6.15368e+287<br>
+      769.781, 3168.71, 5120.04, 1, 1.36924e-20<br> CAUTION: Gross error found
+      at entry 142.<br> Found: 0 Expected 3.19215e-72 Error: 1.43463e+236<br>
+      769.781, 5236.73, 9009.76, 1, 3.19215e-72<br> CAUTION: Gross error found
+      at entry 157.<br> Found: 0 Expected 7.26231e-08 Error: 3.26385e+300<br>
+      1223.88, 9735.22, 12055, 1, 7.26231e-08<br> CAUTION: Gross error found at
+      entry 158.<br> Found: 0 Expected 4.5906e-56 Error: 2.06312e+252<br> 1223.88,
+      25344.1, 31881.6, 1, 4.5906e-56<br> CAUTION: Gross error found at entry 194.<br>
+      Found: 0 Expected 5.34714e-12 Error: 2.40313e+296<br> 9835.22, 122.456, 10953.4,
+      1, 5.34714e-12<br> CAUTION: Gross error found at entry 195.<br> Found:
+      0 Expected 4.84412e-40 Error: 2.17706e+268<br> 9835.22, 156.292, 11989.8,
+      1, 4.84412e-40<br> CAUTION: Gross error found at entry 196.<br> Found:
+      0 Expected 5.50199e-83 Error: 2.47272e+225<br> 9835.22, 417.884, 13329, 1,
+      5.50199e-83<br> CAUTION: Gross error found at entry 197.<br> Found: 0 Expected
+      1.28192e-205 Error: 5.76124e+102<br> 9835.22, 669.781, 15757.5, 1, 1.28192e-205<br>
+      CAUTION: Gross error found at entry 211.<br> Found: 0 Expected 3.83272e-28
+      Error: 1.72251e+280<br> 25444.1, 1123.88, 29224.8, 1, 3.83272e-28<br> CAUTION:
+      Gross error found at entry 212.<br> Found: 0 Expected 1.69815e-101 Error:
+      7.63188e+206<br> 25444.1, 3168.71, 34335.4, 1, 1.69815e-101<br> CAUTION:
+      Gross error found at entry 213.<br> Found: 0 Expected 1.09245e-217 Error:
+      4.90974e+90<br> 25444.1, 5236.73, 39885.1, 1, 1.09245e-217<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h24"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_ch0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_ch0">Error
+      Output For non central chi squared CDF complement with compiler GNU C++ version
+      7.1.0 and library Rmath 3.2.3 and test data Non Central Chi Squared, medium
+      parameters</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_medium_parameters"></a>CAUTION:
+      Gross error found at entry 36.<br> Found: 1.11022e-14 Expected 1.30043e-26
+      Error: 8.53738e+11<br> 1.95191, 109.376, 445.313, 1, 1.30043e-26<br> CAUTION:
+      Gross error found at entry 37.<br> Found: 0 Expected 1.45478e-39 Error: 6.53812e+268<br>
+      1.95191, 109.444, 556.98, 1, 1.45478e-39<br> CAUTION: Gross error found at
+      entry 54.<br> Found: 2.91989e-14 Expected 4.25949e-21 Error: 6.85501e+06<br>
+      1.95191, 159.586, 484.613, 1, 4.25949e-21<br> CAUTION: Gross error found
+      at entry 55.<br> Found: 0 Expected 1.33424e-37 Error: 5.99639e+270<br>
+      1.95191, 159.621, 646.292, 1, 1.33424e-37<br> CAUTION: Gross error found
+      at entry 56.<br> Found: 1.25455e-14 Expected 1.95903e-56 Error: 6.40393e+41<br>
+      1.95191, 160.056, 810.04, 1, 1.95903e-56<br> CAUTION: Gross error found at
+      entry 73.<br> Found: 0 Expected 4.34735e-25 Error: 1.9538e+283<br> 1.95191,
+      193.539, 586.473, 1, 4.34735e-25<br> CAUTION: Gross error found at entry
+      74.<br> Found: 0 Expected 4.66119e-45 Error: 2.09485e+263<br> 1.95191,
+      193.774, 782.902, 1, 4.66119e-45<br> CAUTION: Gross error found at entry
+      75.<br> Found: 4.77396e-15 Expected 8.92248e-68 Error: 5.35048e+52<br>
+      1.95191, 194.119, 980.352, 1, 8.92248e-68<br> CAUTION: Gross error found
+      at entry 111.<br> Found: 0 Expected 3.1064e-15 Error: 1.39609e+293<br>
+      20.4105, 84.4175, 314.484, 1, 3.1064e-15<br> CAUTION: Gross error found at
+      entry 112.<br> Found: 0 Expected 7.50903e-29 Error: 3.37473e+279<br> 20.4105,
+      94.9517, 461.449, 1, 7.50903e-29<br> CAUTION: Gross error found at entry
+      113.<br> Found: 3.77476e-15 Expected 1.74225e-43 Error: 2.1666e+28<br>
+      20.4105, 97.0751, 587.428, 1, 1.74225e-43<br> CAUTION: Gross error found
+      at entry 130.<br> Found: 8.88178e-16 Expected 4.13277e-23 Error: 2.14911e+07<br>
+      20.4105, 151.548, 515.876, 1, 4.13277e-23<br> CAUTION: Gross error found
+      at entry 131.<br> Found: 1.75415e-14 Expected 1.92146e-41 Error: 9.12928e+26<br>
+      20.4105, 152.75, 692.642, 1, 1.92146e-41<br> CAUTION: Gross error found at
+      entry 132.<br> Found: 1.38778e-14 Expected 7.09864e-64 Error: 1.95499e+49<br>
+      20.4105, 158.441, 894.26, 1, 7.09864e-64<br> CAUTION: Gross error found at
+      entry 149.<br> Found: 2.22045e-16 Expected 8.74501e-28 Error: 2.5391e+11<br>
+      20.4105, 191.433, 635.532, 1, 8.74501e-28<br> CAUTION: Gross error found
+      at entry 150.<br> Found: 0 Expected 6.94227e-50 Error: 3.12002e+258<br>
+      20.4105, 191.501, 847.648, 1, 6.94227e-50<br> CAUTION: Gross error found
+      at entry 151.<br> Found: 3.40838e-14 Expected 5.3889e-75 Error: 6.32482e+60<br>
+      20.4105, 191.898, 1061.55, 1, 5.3889e-75<br> CAUTION: Gross error found at
+      entry 206.<br> Found: 5.88418e-15 Expected 2.69136e-22 Error: 2.18632e+07<br>
+      22.8625, 141.209, 492.215, 1, 2.69136e-22<br> CAUTION: Gross error found
+      at entry 207.<br> Found: 3.60822e-14 Expected 1.64941e-40 Error: 2.18759e+26<br>
+      22.8625, 145.168, 672.121, 1, 1.64941e-40<br> CAUTION: Gross error found
+      at entry 208.<br> Found: 3.73035e-14 Expected 1.6094e-61 Error: 2.31784e+47<br>
+      22.8625, 148.129, 854.96, 1, 1.6094e-61<br> CAUTION: Gross error found at
+      entry 225.<br> Found: 0 Expected 3.73672e-27 Error: 1.67937e+281<br> 22.8625,
+      182.675, 616.613, 1, 3.73672e-27<br> CAUTION: Gross error found at entry
+      226.<br> Found: 0 Expected 8.85688e-49 Error: 3.98049e+259<br> 22.8625,
+      183.147, 824.038, 1, 8.85688e-49<br> CAUTION: Gross error found at entry
+      227.<br> Found: 0 Expected 2.29176e-74 Error: 1.02997e+234<br> 22.8625,
+      186.799, 1048.31, 1, 2.29176e-74<br> CAUTION: Gross error found at entry
+      282.<br> Found: 0 Expected 2.18831e-21 Error: 9.8348e+286<br> 23.3804,
+      132.721, 468.305, 1, 2.18831e-21<br> CAUTION: Gross error found at entry
+      283.<br> Found: 0 Expected 1.3071e-38 Error: 5.87439e+269<br> 23.3804,
+      135.747, 636.51, 1, 1.3071e-38<br> CAUTION: Gross error found at entry 284.<br>
+      Found: 1.84297e-14 Expected 8.27843e-58 Error: 2.22623e+43<br> 23.3804, 136.272,
+      798.262, 1, 8.27843e-58<br> CAUTION: Gross error found at entry 301.<br>
+      Found: 0 Expected 9.85282e-26 Error: 4.42808e+282<br> 23.3804, 169.826, 579.619,
+      1, 9.85282e-26<br> CAUTION: Gross error found at entry 302.<br> Found:
+      0 Expected 4.8094e-47 Error: 2.16145e+261<br> 23.3804, 174.486, 791.465,
+      1, 4.8094e-47<br> CAUTION: Gross error found at entry 303.<br> Found: 1.11022e-16
+      Expected 6.70476e-71 Error: 1.65587e+54<br> 23.3804, 175.686, 995.333, 1,
+      6.70476e-71<br> CAUTION: Gross error found at entry 358.<br> Found: 0 Expected
+      3.9702e-21 Error: 1.7843e+287<br> 26.2704, 126.472, 458.227, 1, 3.9702e-21<br>
+      CAUTION: Gross error found at entry 359.<br> *** FURTHER CONTENT HAS BEEN
+      TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h25"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_t_c"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_t_c">Error
+      Output For non central t CDF complement with compiler GNU C++ version 7.1.0
+      and library Rmath 3.2.3 and test data Non Central T</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_complement_Rmath_3_2_3_Non_Central_T"></a>CAUTION:
+      Gross error found at entry 56.<br> Found: 0.000186411 Expected 7.85192e-05
+      Error: 1.37408<br> 61.6335, 46.2251, 68.8608, 0.999921, 7.85192e-05<br>
+      CAUTION: Gross error found at entry 75.<br> Found: 0.00011439 Expected 5.05344e-05
+      Error: 1.26361<br> 80.8418, 60.6313, 86.1278, 0.999949, 5.05344e-05<br>
+      CAUTION: Gross error found at entry 93.<br> Found: 0.000655162 Expected 0.000423927
+      Error: 0.545458<br> 100.733, 50.3663, 65.7619, 0.999576, 0.000423927<br>
+      CAUTION: Gross error found at entry 112.<br> Found: 0.000518249 Expected
+      0.00034473 Error: 0.503348<br> 127.953, 63.9764, 81.0824, 0.999655, 0.00034473<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h26"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_non_central_t_0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_non_central_t_0">Error
+      Output For non central t CDF with compiler GNU C++ version 7.1.0 and library
+      Rmath 3.2.3 and test data Non Central T</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_Rmath_3_2_3_Non_Central_T"></a>CAUTION:
+      Gross error found at entry 74.<br> Found: 0.000830062 Expected 0.000522858
+      Error: 0.587549<br> 79.7478, -39.8739, -53.8066, 0.000522858, 0.999477<br>
+      CAUTION: Gross error found at entry 94.<br> Found: 7.69292e-05 Expected 3.54024e-05
+      Error: 1.17299<br> 101.191, -75.8936, -104.104, 3.54024e-05, 0.999965<br>
+      CAUTION: Gross error found at entry 113.<br> Found: 5.07713e-05 Expected
+      2.4439e-05 Error: 1.07747<br> 128.792, -96.5942, -128.112, 2.4439e-05, 0.999976<br>
+      CAUTION: Gross error found at entry 132.<br> Found: 4.08612e-05 Expected
+      2.01542e-05 Error: 1.02743<br> 146.56, -109.92, -143.392, 2.01542e-05, 0.99998<br>
+      CAUTION: Gross error found at entry 151.<br> Found: 3.55146e-05 Expected
+      1.7803e-05 Error: 0.994869<br> 159.586, -119.689, -154.522, 1.7803e-05, 0.999982<br>
+      CAUTION: Gross error found at entry 170.<br> Found: 3.03671e-05 Expected
+      1.55023e-05 Error: 0.958873<br> 175.686, -131.765, -168.211, 1.55023e-05,
+      0.999984<br> CAUTION: Gross error found at entry 189.<br> Found: 2.61339e-05
+      Expected 1.3581e-05 Error: 0.924298<br> 192.978, -144.733, -182.834, 1.3581e-05,
+      0.999986<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h27"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with_">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Mathematica Data - Large orders and other bug cases</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_Large_orders_and_other_bug_cases"></a>CAUTION:
+      Found non-finite result, when a finite value was expected at entry 0<br>
+      Found: -nan Expected 2.07309e+257 Error: 1.79769e+308<br> 171, 2, 2.07309e+257<br>
+      CAUTION: Gross error found at entry 0.<br> Found: -nan Expected 2.07309e+257
+      Error: 1.79769e+308<br> 171, 2, 2.07309e+257<br> CAUTION: Found non-finite
+      result, when a finite value was expected at entry 1<br> Found: -nan Expected
+      7.42912e+188 Error: 1.79769e+308<br> 171, 5, 7.42912e+188<br> CAUTION:
+      Gross error found at entry 1.<br> Found: -nan Expected 7.42912e+188 Error:
+      1.79769e+308<br> 171, 5, 7.42912e+188<br> CAUTION: Found non-finite result,
+      when a finite value was expected at entry 2<br> Found: -nan Expected -4.81295e+247
+      Error: 1.79769e+308<br> 166, 2, -4.81295e+247<br> CAUTION: Gross error
+      found at entry 2.<br> Found: -nan Expected -4.81295e+247 Error: 1.79769e+308<br>
+      166, 2, -4.81295e+247<br> CAUTION: Found non-finite result, when a finite
+      value was expected at entry 3<br> Found: -nan Expected -1.88439e+218 Error:
+      1.79769e+308<br> 166, 3, -1.88439e+218<br> CAUTION: Gross error found at
+      entry 3.<br> Found: -nan Expected -1.88439e+218 Error: 1.79769e+308<br>
+      166, 3, -1.88439e+218<br> CAUTION: Found non-finite result, when a finite
+      value was expected at entry 4<br> Found: -nan Expected 7.53144e+74 Error:
+      1.79769e+308<br> 171, 23, 7.53144e+74<br> CAUTION: Gross error found at
+      entry 4.<br> Found: -nan Expected 7.53144e+74 Error: 1.79769e+308<br> 171,
+      23, 7.53144e+74<br> CAUTION: Found non-finite result, when a finite value
+      was expected at entry 5<br> Found: -nan Expected -6.52661e-66 Error: 1.79769e+308<br>
+      168, 150, -6.52661e-66<br> CAUTION: Gross error found at entry 5.<br> Found:
+      -nan Expected -6.52661e-66 Error: 1.79769e+308<br> 168, 150, -6.52661e-66<br>
+      CAUTION: Found non-finite result, when a finite value was expected at entry
+      6<br> Found: -nan Expected 9.2734e-88 Error: 1.79769e+308<br> 169, 202,
+      9.2734e-88<br> CAUTION: Gross error found at entry 6.<br> Found: -nan Expected
+      9.2734e-88 Error: 1.79769e+308<br> 169, 202, 9.2734e-88<br> Outside supported
+      domain<br> 20, -9.5, -0.00103076<br> Outside supported domain<br> 21,
+      -9.5, 4.28582e+26<br> Outside supported domain<br> 22, -9.5, -0.00419144<br>
+      Outside supported domain<br> 23, -9.5, 8.6745e+29<br> Outside supported
+      domain<br> 24, -9.5, -0.0204825<br> Outside supported domain<br> 25,
+      -9.5, 2.08188e+33<br> Outside supported domain<br> 26, -9.5, -0.118403<br>
+      Outside supported domain<br> 27, -9.5, 5.84592e+36<br> Outside supported
+      domain<br> 28, -9.5, -0.798969<br> Outside supported domain<br> 29, -9.5,
+      1.89875e+40<br> Outside supported domain<br> 30, -9.5, -6.22245<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h28"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with0">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Mathematica Data - large negative arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_negative_arguments"></a>Outside
+      supported domain<br> 124, -1.5, 7.63705e+240<br> Outside supported domain<br>
+      124, -2.5, 7.63705e+240<br> Outside supported domain<br> 124, -3.5, 7.63705e+240<br>
+      Outside supported domain<br> 124, -4.5, 7.63705e+240<br> Outside supported
+      domain<br> 124, -5.5, 7.63705e+240<br> Outside supported domain<br> 124,
+      -6.5, 7.63705e+240<br> Outside supported domain<br> 124, -7.5, 7.63705e+240<br>
+      Outside supported domain<br> 124, -8.5, 7.63705e+240<br> Outside supported
+      domain<br> 124, -9.5, 7.63705e+240<br> Outside supported domain<br> 124,
+      -10.5, 7.63705e+240<br> Outside supported domain<br> 124, -11.5, 7.63705e+240<br>
+      Outside supported domain<br> 124, -12.5, 7.63705e+240<br> Outside supported
+      domain<br> 124, -13.5, 7.63705e+240<br> Outside supported domain<br>
+      124, -14.5, 7.63705e+240<br> Outside supported domain<br> 124, -15.5, 7.63705e+240<br>
+      Outside supported domain<br> 124, -16.5, 7.63705e+240<br> Outside supported
+      domain<br> 124, -17.5, 7.63705e+240<br> Outside supported domain<br>
+      124, -18.5, 7.63705e+240<br> Outside supported domain<br> 124, -19.5, 7.63705e+240<br>
+      Outside supported domain<br> 124, -20.5, 7.63705e+240<br> Outside supported
+      domain<br> 124, -1.5, -7.63705e+240<br> Outside supported domain<br>
+      124, -2.5, -7.63705e+240<br> Outside supported domain<br> 124, -3.5, -7.63705e+240<br>
+      Outside supported domain<br> 124, -4.5, -7.63705e+240<br> Outside supported
+      domain<br> 124, -5.5, -7.63705e+240<br> Outside supported domain<br>
+      124, -6.5, -7.63705e+240<br> Outside supported domain<br> 124, -7.5, -7.63705e+240<br>
+      Outside supported domain<br> 124, -8.5, -7.63705e+240<br> Outside supported
+      domain<br> 124, -9.5, -7.63705e+240<br> Outside supported domain<br>
+      124, -10.5, -7.63705e+240<br> Outside supported domain<br> 124, -11.5,
+      -7.63705e+240<br> Outside supported domain<br> 124, -12.5, -7.63705e+240<br>
+      Outside supported domain<br> 124, -13.5, -7.63705e+240<br> Outside supported
+      domain<br> 124, -14.5, -7.63705e+240<br> Outside supported domain<br>
+      124, -15.5, -7.63705e+240<br> Outside supported domain<br> 124, -16.5,
+      -7.63705e+240<br> Outside supported domain<br> 124, -17.5, -7.63705e+240<br>
+      Outside supported domain<br> 124, -18.5, -7.63705e+240<br> Outside supported
+      domain<br> 124, -19.5, -7.63705e+240<br> Outside supported domain<br>
+      124, -20.5, -7.63705e+240<br> Outside supported domain<br> 1, -0.5, 8.9348<br>
+      Outside supported domain<br> 2, -0.5, -0.828797<br> Outside supported domain<br>
+      3, -0.5, 193.409<br> Outside supported domain<br> 4, -0.5, -3.47425<br>
+      Outside supported domain<br> 5, -0.5, 15371.1<br> Outside supported domain<br>
+      6, -0.5, -43.4579<br> Outside supported domain<br> 7, -0.5, 2.58068e+06<br>
+      Outside supported domain<br> 8, -0.5, -1059.96<br> Outside supported domain<br>
+      9, -0.5, 7.43185e+08<br> Outside supported domain<br> 10, -0.5, -42108.9<br>
+      Outside supported domain<br> 11, -0.5, 3.26999e+11<br> Outside supported
+      domain<br> 12, -0.5, -2.46448e+06<br> Outside supported domain<br> 13,
+      -0.5, 2.04047e+14<br> Outside supported domain<br> 14, -0.5, -1.9918e+08<br>
+      Outside supported domain<br> 15, -0.5, 1.71399e+17<br> Outside supported
+      domain<br> 16, -0.5, -2.12394e+10<br> Outside supported domain<br> 17,
+      -0.5, 1.86483e+20<br> Outside supported domain<br> 18, -0.5, -2.88824e+12<br>
+      Outside supported domain<br> 19, -0.5, 2.55108e+23<br> Outside supported
+      domain<br> 20, -0.5, -4.87773e+14<br> Outside supported domain<br> 21,
+      -0.5, 4.28582e+26<br> Outside supported domain<br> 1, -0.5, 8.9348<br>
+      Outside supported domain<br> 2, -0.5, -0.828843<br> Outside supported domain<br>
+      3, -0.5, 193.409<br> Outside supported domain<br> 4, -0.5, -3.47791<br>
+      Outside supported domain<br> 5, -0.5, 15371.1<br> Outside supported domain<br>
+      6, -0.5, -44.0732<br> Outside supported domain<br> 7, -0.5, 2.58068e+06<br>
+      Outside supported domain<br> 8, -0.5, -1237.15<br> Outside supported domain<br>
+      9, -0.5, 7.43185e+08<br> Outside supported domain<br> 10, -0.5, -120071<br>
+      Outside supported domain<br> 11, -0.5, 3.26999e+11<br> Outside supported
+      domain<br> 12, -0.5, -5.11131e+07<br> Outside supported domain<br> 13,
+      -0.5, 2.04047e+14<br> Outside supported domain<br> 14, -0.5, -4.1064e+10<br>
+      Outside supported domain<br> 15, -0.5, 1.71399e+17<br> Outside supported
+      domain<br> 16, -0.5, -4.44822e+13<br> Outside supported domain<br> 17,
+      -0.5, 1.86483e+20<br> Outside supported domain<br> 18, -0.5, -6.08254e+16<br>
+      Outside supported domain<br> 19, -0.5, 2.55108e+23<br> Outside supported
+      domain<br> 20, -0.5, -1.02182e+20<br> Outside supported domain<br> 21,
+      -0.5, 4.28582e+26<br> Outside supported domain<br> 1, -0.5, 8.9348<br>
+      Outside supported domain<br> 2, -0.5, -0.828751<br> Outside supported domain<br>
+      3, -0.5, 193.409<br> Outside supported domain<br> 4, -0.5, -3.47059<br>
+      Outside supported domain<br> *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY
+      ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h29"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with1">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Mathematica Data - negative arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_negative_arguments"></a>Outside
+      supported domain<br> 1, -12.75, 19.6638<br> Outside supported domain<br>
+      1, -12.25, 19.6608<br> Outside supported domain<br> 1, -11.75, 19.6576<br>
+      Outside supported domain<br> 1, -11.25, 19.6542<br> Outside supported domain<br>
+      1, -10.75, 19.6504<br> Outside supported domain<br> 1, -10.25, 19.6463<br>
+      Outside supported domain<br> 1, -9.75, 19.6417<br> Outside supported domain<br>
+      1, -9.25, 19.6367<br> Outside supported domain<br> 1, -8.75, 19.6312<br>
+      Outside supported domain<br> 1, -8.25, 19.625<br> Outside supported domain<br>
+      1, -7.75, 19.6181<br> Outside supported domain<br> 1, -7.25, 19.6104<br>
+      Outside supported domain<br> 1, -6.75, 19.6015<br> Outside supported domain<br>
+      1, -6.25, 19.5913<br> Outside supported domain<br> 1, -5.75, 19.5795<br>
+      Outside supported domain<br> 1, -5.25, 19.5657<br> Outside supported domain<br>
+      1, -4.75, 19.5493<br> Outside supported domain<br> 1, -4.25, 19.5294<br>
+      Outside supported domain<br> 1, -3.75, 19.505<br> Outside supported domain<br>
+      1, -3.25, 19.4741<br> Outside supported domain<br> 1, -2.75, 19.4339<br>
+      Outside supported domain<br> 1, -2.25, 19.3794<br> Outside supported domain<br>
+      1, -1.75, 19.3016<br> Outside supported domain<br> 1, -1.25, 19.1819<br>
+      Outside supported domain<br> 1, -0.75, 18.9751<br> Outside supported domain<br>
+      1, -0.25, 18.5419<br> Outside supported domain<br> 2, -12.75, -124.031<br>
+      Outside supported domain<br> 2, -12.25, 124.019<br> Outside supported domain<br>
+      2, -11.75, -124.032<br> Outside supported domain<br> 2, -11.25, 124.018<br>
+      Outside supported domain<br> 2, -10.75, -124.033<br> Outside supported
+      domain<br> 2, -10.25, 124.016<br> Outside supported domain<br> 2, -9.75,
+      -124.035<br> Outside supported domain<br> 2, -9.25, 124.015<br> Outside
+      supported domain<br> 2, -8.75, -124.037<br> Outside supported domain<br>
+      2, -8.25, 124.012<br> Outside supported domain<br> 2, -7.75, -124.04<br>
+      Outside supported domain<br> 2, -7.25, 124.009<br> Outside supported domain<br>
+      2, -6.75, -124.044<br> Outside supported domain<br> 2, -6.25, 124.003<br>
+      Outside supported domain<br> 2, -5.75, -124.051<br> Outside supported domain<br>
+      2, -5.25, 123.995<br> Outside supported domain<br> 2, -4.75, -124.061<br>
+      Outside supported domain<br> 2, -4.25, 123.981<br> Outside supported domain<br>
+      2, -3.75, -124.08<br> Outside supported domain<br> 2, -3.25, 123.955<br>
+      Outside supported domain<br> 2, -2.75, -124.118<br> Outside supported domain<br>
+      2, -2.25, 123.897<br> Outside supported domain<br> 2, -1.75, -124.214<br>
+      Outside supported domain<br> 2, -1.25, 123.721<br> Outside supported domain<br>
+      2, -0.75, -124.587<br> Outside supported domain<br> 2, -0.25, 122.697<br>
+      Outside supported domain<br> 3, -12.75, 1558.54<br> Outside supported domain<br>
+      3, -12.25, 1558.54<br> Outside supported domain<br> 3, -11.75, 1558.54<br>
+      Outside supported domain<br> 3, -11.25, 1558.54<br> Outside supported domain<br>
+      3, -10.75, 1558.54<br> Outside supported domain<br> 3, -10.25, 1558.54<br>
+      Outside supported domain<br> 3, -9.75, 1558.54<br> Outside supported domain<br>
+      3, -9.25, 1558.54<br> Outside supported domain<br> 3, -8.75, 1558.54<br>
+      Outside supported domain<br> 3, -8.25, 1558.54<br> Outside supported domain<br>
+      3, -7.75, 1558.54<br> Outside supported domain<br> 3, -7.25, 1558.54<br>
+      Outside supported domain<br> 3, -6.75, 1558.54<br> Outside supported domain<br>
+      3, -6.25, 1558.54<br> Outside supported domain<br> 3, -5.75, 1558.54<br>
+      Outside supported domain<br> 3, -5.25, 1558.54<br> Outside supported domain<br>
+      3, -4.75, 1558.53<br> Outside supported domain<br> 3, -4.25, 1558.53<br>
+      Outside supported domain<br> 3, -3.75, 1558.52<br> Outside supported domain<br>
+      3, -3.25, 1558.51<br> Outside supported domain<br> 3, -2.75, 1558.49<br>
+      Outside supported domain<br> 3, -2.25, 1558.46<br> Outside supported domain<br>
+      3, -1.75, 1558.38<br> Outside supported domain<br> 3, -1.25, 1558.22<br>
+      Outside supported domain<br> 3, -0.75, 1557.75<br> Outside supported domain<br>
+      3, -0.25, 1555.76<br> Outside supported domain<br> 4, -12.75, -24481.6<br>
+      Outside supported domain<br> 4, -12.25, 24481.6<br> Outside supported domain<br>
+      4, -11.75, -24481.6<br> Outside supported domain<br> 4, -11.25, 24481.6<br>
+      Outside supported domain<br> 4, -10.75, -24481.6<br> Outside supported
+      domain<br> 4, -10.25, 24481.6<br> Outside supported domain<br> 4, -9.75,
+      -24481.6<br> Outside supported domain<br> 4, -9.25, 24481.6<br> Outside
+      supported domain<br> 4, -8.75, -24481.6<br> Outside supported domain<br>
+      4, -8.25, 24481.6<br> Outside supported domain<br> 4, -7.75, -24481.6<br>
+      Outside supported domain<br> 4, -7.25, 24481.6<br> Outside supported domain<br>
+      4, -6.75, -24481.6<br> Outside supported domain<br> 4, -6.25, 24481.6<br>
+      Outside supported domain<br> 4, -5.75, -24481.6<br> Outside supported domain<br>
+      4, -5.25, 24481.6<br> Outside supported domain<br> *** FURTHER CONTENT
+      HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h30"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with2">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library Rmath
+      3.2.3 and test data Mathematica Data - large arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_arguments"></a>CAUTION:
+      Gross error found at entry 211.<br> Found: -0 Expected -8.44974e-268 Error:
+      3.79751e+40<br> 30, 8.58993e+09, -8.44974e-268<br> CAUTION: Gross error
+      found at entry 212.<br> Found: -0 Expected -7.86943e-277 Error: 3.5367e+31<br>
+      30, 1.71799e+10, -7.86943e-277<br> CAUTION: Gross error found at entry 213.<br>
+      Found: -0 Expected -7.32898e-286 Error: 3.29381e+22<br> 30, 3.43597e+10,
+      -7.32898e-286<br> CAUTION: Gross error found at entry 214.<br> Found: -0
+      Expected -6.82564e-295 Error: 3.0676e+13<br> 30, 6.87195e+10, -6.82564e-295<br>
+      CAUTION: Gross error found at entry 215.<br> Found: -0 Expected -6.35687e-304
+      Error: 28568.3<br> 30, 1.37439e+11, -6.35687e-304<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h31"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w3">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Iv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data_large_values_"></a>domain
+      error<br> -1, 3.72917e-155, 1.86459e-155<br> domain error<br> -1.125,
+      3.72917e-155, -1.34964e+173<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h32"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w4">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Iv: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Random_Data"></a>domain
+      error<br> -80.4919, 24.7501, 4.18698e+28<br> domain error<br> -80.4919,
+      63.7722, 2.03248e+06<br> domain error<br> -74.6026, 24.7501, 7.20977e+23<br>
+      domain error<br> -74.6026, 63.7722, 8.7549e+08<br> domain error<br> -72.9046,
+      24.7501, 1.04535e+22<br> domain error<br> -72.9046, 63.7722, 4.7162e+09<br>
+      domain error<br> -62.3236, 24.7501, 3.65147e+14<br> domain error<br>
+      -62.3236, 63.7722, 8.56683e+13<br> domain error<br> -55.7932, 24.7501,
+      -7.70364e+09<br> domain error<br> -55.7932, 63.7722, 1.95969e+16<br>
+      domain error<br> -44.3004, 9.50706, 2.93478e+22<br> domain error<br>
+      -44.3004, 24.7501, 640.568<br> domain error<br> -44.3004, 63.7722, 8.05557e+19<br>
+      domain error<br> -38.3666, 5.11399, 2.89105e+27<br> domain error<br>
+      -38.3666, 9.50706, 8.80632e+16<br> domain error<br> -38.3666, 24.7501,
+      0.389004<br> domain error<br> -38.3666, 63.7722, 3.06303e+21<br> underflow<br>
+      81.1584, 0.00177219, 0<br> underflow<br> 81.1584, 0.00221773, 0<br> underflow<br>
+      81.1584, 0.0074445, 6.08857e-319<br> underflow<br> 82.6752, 0.00177219,
+      0<br> underflow<br> 82.6752, 0.00221773, 0<br> underflow<br> 82.6752,
+      0.0074445, 0<br> underflow<br> 91.5014, 0.00177219, 0<br> underflow<br>
+      91.5014, 0.00221773, 0<br> underflow<br> 91.5014, 0.0074445, 0<br> underflow<br>
+      91.5014, 0.014336, 0<br> underflow<br> 91.5014, 0.0176092, 0<br> underflow<br>
+      92.9777, 0.00177219, 0<br> underflow<br> 92.9777, 0.00221773, 0<br> underflow<br>
+      92.9777, 0.0074445, 0<br> underflow<br> 92.9777, 0.014336, 0<br> underflow<br>
+      92.9777, 0.0176092, 0<br> underflow<br> 93.539, 0.00177219, 0<br> underflow<br>
+      93.539, 0.00221773, 0<br> underflow<br> 93.539, 0.0074445, 0<br> underflow<br>
+      93.539, 0.014336, 0<br> underflow<br> 93.539, 0.0176092, 0<br> underflow<br>
+      93.7736, 0.00177219, 0<br> underflow<br> 93.7736, 0.00221773, 0<br> underflow<br>
+      93.7736, 0.0074445, 0<br> underflow<br> 93.7736, 0.014336, 0<br> underflow<br>
+      93.7736, 0.0176092, 0<br> underflow<br> 98.5763, 0.00177219, 0<br> underflow<br>
+      98.5763, 0.00221773, 0<br> underflow<br> 98.5763, 0.0074445, 0<br> underflow<br>
+      98.5763, 0.014336, 0<br> underflow<br> 98.5763, 0.0176092, 0<br> underflow<br>
+      99.2923, 0.00177219, 0<br> underflow<br> 99.2923, 0.00221773, 0<br> underflow<br>
+      99.2923, 0.0074445, 0<br> underflow<br> 99.2923, 0.014336, 0<br> underflow<br>
+      99.2923, 0.0176092, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h33"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w5">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel In: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Random_Data"></a>underflow<br>
+      70, 0.00177219, 1.75887e-314<br> underflow<br> 73, 0.00177219, 0<br>
+      underflow<br> 73, 0.00221773, 4.24896e-322<br> underflow<br> 76, 0.00177219,
+      0<br> underflow<br> 76, 0.00221773, 0<br> underflow<br> 79, 0.00177219,
+      0<br> underflow<br> 79, 0.00221773, 0<br> underflow<br> 79, 0.0074445,
+      1.38676e-309<br> underflow<br> 82, 0.00177219, 0<br> underflow<br>
+      82, 0.00221773, 0<br> underflow<br> 82, 0.0074445, 1.33398e-322<br> underflow<br>
+      85, 0.00177219, 0<br> underflow<br> 85, 0.00221773, 0<br> underflow<br>
+      85, 0.0074445, 0<br> underflow<br> 85, 0.014336, 1.81568e-311<br> underflow<br>
+      88, 0.00177219, 0<br> underflow<br> 88, 0.00221773, 0<br> underflow<br>
+      88, 0.0074445, 0<br> underflow<br> 88, 0.014336, 9.88131e-324<br> underflow<br>
+      88, 0.0176092, 7.34647e-316<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h34"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w6"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w6">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Iv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data"></a>domain
+      error<br> -4.99902, 2.125, 0.0267921<br> domain error<br> -5.5, 10, 597.578<br>
+      domain error<br> -5.5, 100, 9.22363e+41<br> domain error<br> -10.0003,
+      0.000976562, 1.41474e+35<br> domain error<br> -10.0003, 50, 1.07153e+20<br>
+      domain error<br> -141.4, 100, 2066.28<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h35"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i2">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library GSL 2.1 and test data Bessel In: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__GSL_2_1_Bessel_In_Mathworld_Data_Integer_Version_"></a>underflow<br>
+      10, 1e-100, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h36"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w7"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w7">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel In: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Mathworld_Data"></a>domain
+      error<br> -2, 0, 0<br> domain error<br> -5, 100, 9.47009e+41<br> domain
+      error<br> -5, -1, -0.000271463<br> domain error<br> 10, -5, 0.00458004<br>
+      domain error<br> -100, -200, 4.35275e+74<br> underflow<br> 10, 1e-100,
+      0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h37"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w8"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w8">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel I1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I1_Mathworld_Data"></a>domain
+      error<br> 1, -2, -1.59064<br> domain error<br> 1, -8, -399.873<br>
+      domain error<br> 1, -10, -2670.99<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h38"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w9"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_w9">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel I0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I0_Mathworld_Data"></a>domain
+      error<br> 0, -2, 2.27959<br> domain error<br> 0, -7, 168.594<br> domain
+      error<br> 0, -1, 1.26607<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h39"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_0">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Iv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data_large_values_"></a>Bad
+      argument in __cyl_bessel_i.<br> -1, 3.72917e-155, 1.86459e-155<br> Bad
+      argument in __cyl_bessel_i.<br> -1.125, 3.72917e-155, -1.34964e+173<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h40"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_1">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Iv: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Random_Data"></a>Bad
+      argument in __cyl_bessel_i.<br> -80.4919, 24.7501, 4.18698e+28<br> Bad
+      argument in __cyl_bessel_i.<br> -80.4919, 63.7722, 2.03248e+06<br> Bad
+      argument in __cyl_bessel_i.<br> -74.6026, 24.7501, 7.20977e+23<br> Bad
+      argument in __cyl_bessel_i.<br> -74.6026, 63.7722, 8.7549e+08<br> Bad argument
+      in __cyl_bessel_i.<br> -72.9046, 24.7501, 1.04535e+22<br> Bad argument
+      in __cyl_bessel_i.<br> -72.9046, 63.7722, 4.7162e+09<br> Bad argument in
+      __cyl_bessel_i.<br> -62.3236, 24.7501, 3.65147e+14<br> Bad argument in
+      __cyl_bessel_i.<br> -62.3236, 63.7722, 8.56683e+13<br> Bad argument in
+      __cyl_bessel_i.<br> -55.7932, 24.7501, -7.70364e+09<br> Bad argument in
+      __cyl_bessel_i.<br> -55.7932, 63.7722, 1.95969e+16<br> Bad argument in
+      __cyl_bessel_i.<br> -44.3004, 9.50706, 2.93478e+22<br> Bad argument in
+      __cyl_bessel_i.<br> -44.3004, 24.7501, 640.568<br> Bad argument in __cyl_bessel_i.<br>
+      -44.3004, 63.7722, 8.05557e+19<br> Bad argument in __cyl_bessel_i.<br>
+      -38.3666, 5.11399, 2.89105e+27<br> Bad argument in __cyl_bessel_i.<br>
+      -38.3666, 9.50706, 8.80632e+16<br> Bad argument in __cyl_bessel_i.<br>
+      -38.3666, 24.7501, 0.389004<br> Bad argument in __cyl_bessel_i.<br> -38.3666,
+      63.7722, 3.06303e+21<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h41"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_2">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Iv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_i.<br> -4.99902, 2.125, 0.0267921<br> Bad argument
+      in __cyl_bessel_i.<br> -5.5, 10, 597.578<br> Bad argument in __cyl_bessel_i.<br>
+      -5.5, 100, 9.22363e+41<br> Bad argument in __cyl_bessel_i.<br> -10.0003,
+      0.000976562, 1.41474e+35<br> Bad argument in __cyl_bessel_i.<br> -10.0003,
+      50, 1.07153e+20<br> Bad argument in __cyl_bessel_i.<br> -141.4, 100, 2066.28<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h42"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i3">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel In: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_In_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_i.<br> -2, 0, 0<br> Bad argument in __cyl_bessel_i.<br>
+      -5, 100, 9.47009e+41<br> Bad argument in __cyl_bessel_i.<br> -5, -1, -0.000271463<br>
+      Bad argument in __cyl_bessel_i.<br> 10, -5, 0.00458004<br> Bad argument
+      in __cyl_bessel_i.<br> -100, -200, 4.35275e+74<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h43"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i4">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel I1: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I1_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_i.<br> 1, -2, -1.59064<br> Bad argument in __cyl_bessel_i.<br>
+      1, -8, -399.873<br> Bad argument in __cyl_bessel_i.<br> 1, -10, -2670.99<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h44"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_i5">Error
+      Output For cyl_bessel_i (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel I0: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I0_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_i.<br> 0, -2, 2.27959<br> Bad argument in __cyl_bessel_i.<br>
+      0, -7, 168.594<br> Bad argument in __cyl_bessel_i.<br> 0, -1, 1.26607<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h45"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_3">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel In: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_In_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_i.<br> -2, 0, 0<br> Bad argument in __cyl_bessel_i.<br>
+      -5, 100, 9.47009e+41<br> Bad argument in __cyl_bessel_i.<br> -5, -1, -0.000271463<br>
+      Bad argument in __cyl_bessel_i.<br> 10, -5, 0.00458004<br> Bad argument
+      in __cyl_bessel_i.<br> -100, -200, 4.35275e+74<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h46"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_4">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel I1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I1_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_i.<br> 1, -2, -1.59064<br> Bad argument in __cyl_bessel_i.<br>
+      1, -8, -399.873<br> Bad argument in __cyl_bessel_i.<br> 1, -10, -2670.99<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h47"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_i_5">Error
+      Output For cyl_bessel_i with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel I0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I0_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_i.<br> 0, -2, 2.27959<br> Bad argument in __cyl_bessel_i.<br>
+      0, -7, 168.594<br> Bad argument in __cyl_bessel_i.<br> 0, -1, 1.26607<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h48"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w3">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel J: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Random_Data"></a>underflow<br>
+      63.8868, 5.5381e-05, 0<br> underflow<br> 63.8868, 6.9304e-05, 0<br> underflow<br>
+      63.8868, 0.000232641, 0<br> underflow<br> 63.8868, 0.000448, 8.39912e-323<br>
+      underflow<br> 63.8868, 0.000550287, 4.32897e-317<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h49"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w4">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel J: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data_large_values_"></a>domain
+      error<br> -0.5, 1.2459e-206, 7.14823e+102<br> domain error<br> -256,
+      8, 0<br> domain error<br> -2.5, 4, -0.0145679<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h50"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w5">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel J: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data"></a>domain
+      error<br> -5.5, 3.1416, -2.5582<br> domain error<br> -5.5, 10000, 0.00244984<br>
+      domain error<br> -5.5, 10000, 0.00244984<br> domain error<br> -5.5, 1e+06,
+      0.000279243<br> domain error<br> -0.5, 101, 0.0708185<br> domain error<br>
+      -10.0003, 0.000976562, 1.41474e+35<br> domain error<br> -10.0003, 15, -0.0902239<br>
+      domain error<br> -10.0003, 100, -0.0547614<br> domain error<br> -10.0003,
+      20000, -0.00556869<br> domain error<br> -8.5, 12.5664, -0.257087<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h51"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i3">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library GSL 2.1 and test data Bessel JN: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__GSL_2_1_Bessel_JN_Mathworld_Data_Integer_Version_"></a>underflow<br>
+      10, 1e-100, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h52"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w6"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w6">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel JN: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_JN_Mathworld_Data"></a>domain
+      error<br> -1, 1.25, -0.510623<br> domain error<br> -2, 0, 0<br> domain
+      error<br> 5, -10, 0.234062<br> domain error<br> -5, 1e+06, 0.000725964<br>
+      domain error<br> -5, -1, 0.000249758<br> domain error<br> 10, -10, 0.207486<br>
+      domain error<br> 10, -5, 0.0014678<br> domain error<br> -10, 1e+06, -0.000331079<br>
+      underflow<br> 10, 1e-100, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h53"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w7"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w7">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel J1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J1_Mathworld_Data"></a>domain
+      error<br> 1, -2, -0.576725<br> domain error<br> 1, -8, -0.234636<br>
+      domain error<br> 1, -10, -0.0434727<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h54"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w8"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w8">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel J0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J0_Mathworld_Data"></a>domain
+      error<br> 0, -2, 0.223891<br> domain error<br> 0, -8, 0.171651<br>
+      domain error<br> 0, -10, -0.245936<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h55"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w9"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_w9">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel J: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data_large_values_"></a>Bad
+      argument in __cyl_bessel_j.<br> -0.5, 1.2459e-206, 7.14823e+102<br> Bad
+      argument in __cyl_bessel_j.<br> -256, 8, 1.46866e-353<br> Bad argument
+      in __cyl_bessel_j.<br> -2.5, 4, -0.0145679<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h56"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_0">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel J: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_j.<br> -5.5, 3.1416, -2.5582<br> Bad argument
+      in __cyl_bessel_j.<br> -5.5, 10000, 0.00244984<br> Bad argument in __cyl_bessel_j.<br>
+      -5.5, 10000, 0.00244984<br> Bad argument in __cyl_bessel_j.<br> -5.5, 1e+06,
+      0.000279243<br> Bad argument in __cyl_bessel_j.<br> -0.5, 101, 0.0708185<br>
+      Bad argument in __cyl_bessel_j.<br> -10.0003, 0.000976562, 1.41474e+35<br>
+      Bad argument in __cyl_bessel_j.<br> -10.0003, 15, -0.0902239<br> Bad argument
+      in __cyl_bessel_j.<br> -10.0003, 100, -0.0547614<br> Bad argument in __cyl_bessel_j.<br>
+      -10.0003, 20000, -0.00556869<br> Bad argument in __cyl_bessel_j.<br> -8.5,
+      12.5664, -0.257087<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h57"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i4">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel JN: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_JN_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_j.<br> -1, 1.25, -0.510623<br> Bad argument in
+      __cyl_bessel_j.<br> -2, 0, 0<br> Bad argument in __cyl_bessel_j.<br>
+      5, -10, 0.234062<br> Bad argument in __cyl_bessel_j.<br> -5, 1e+06, 0.000725964<br>
+      Bad argument in __cyl_bessel_j.<br> -5, -1, 0.000249758<br> Bad argument
+      in __cyl_bessel_j.<br> 10, -10, 0.207486<br> Bad argument in __cyl_bessel_j.<br>
+      10, -5, 0.0014678<br> Bad argument in __cyl_bessel_j.<br> -10, 1e+06, -0.000331079<br>
+      CAUTION: Gross error found at entry 15.<br> Found: 0.0042409 Expected 0.00128318
+      Error: 2.305<br> 1000, 100000, 0.00128318<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h58"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i5">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel J1: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J1_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_j.<br> 1, -2, -0.576725<br> Bad argument in __cyl_bessel_j.<br>
+      1, -8, -0.234636<br> Bad argument in __cyl_bessel_j.<br> 1, -10, -0.0434727<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h59"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i6"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_i6">Error
+      Output For cyl_bessel_j (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel J0: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J0_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_j.<br> 0, -2, 0.223891<br> Bad argument in __cyl_bessel_j.<br>
+      0, -8, 0.171651<br> Bad argument in __cyl_bessel_j.<br> 0, -10, -0.245936<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h60"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_1">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel JN: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_JN_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_j.<br> -1, 1.25, -0.510623<br> Bad argument in
+      __cyl_bessel_j.<br> -2, 0, 0<br> Bad argument in __cyl_bessel_j.<br>
+      5, -10, 0.234062<br> Bad argument in __cyl_bessel_j.<br> -5, 1e+06, 0.000725964<br>
+      Bad argument in __cyl_bessel_j.<br> -5, -1, 0.000249758<br> Bad argument
+      in __cyl_bessel_j.<br> 10, -10, 0.207486<br> Bad argument in __cyl_bessel_j.<br>
+      10, -5, 0.0014678<br> Bad argument in __cyl_bessel_j.<br> -10, 1e+06, -0.000331079<br>
+      CAUTION: Gross error found at entry 15.<br> Found: 0.0042409 Expected 0.00128318
+      Error: 2.305<br> 1000, 100000, 0.00128318<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h61"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_2">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel J1: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J1_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_j.<br> 1, -2, -0.576725<br> Bad argument in __cyl_bessel_j.<br>
+      1, -8, -0.234636<br> Bad argument in __cyl_bessel_j.<br> 1, -10, -0.0434727<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h62"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_j_3">Error
+      Output For cyl_bessel_j with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel J0: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J0_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_j.<br> 0, -2, 0.223891<br> Bad argument in __cyl_bessel_j.<br>
+      0, -8, 0.171651<br> Bad argument in __cyl_bessel_j.<br> 0, -10, -0.245936<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h63"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_wi"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_wi">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Kv: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Random_Data"></a>domain
+      error<br> -80.4919, 24.7501, 6.57902e+28<br> domain error<br> -80.4919,
+      63.7722, 2.39552e-09<br> domain error<br> -80.4919, 125.28, 3.06904e-45<br>
+      domain error<br> -80.4919, 255.547, 2.30343e-107<br> domain error<br>
+      -80.4919, 503.011, 1.20315e-217<br> domain error<br> -80.4919, 1007.46,
+      0<br> domain error<br> -80.4919, 1185.4, 0<br> domain error<br> -80.4919,
+      3534.52, 0<br> domain error<br> -80.4919, 8071.55, 0<br> domain error<br>
+      -80.4919, 16229.2, 0<br> domain error<br> -80.4919, 32066.2, 0<br> domain
+      error<br> -80.4919, 36367.9, 0<br> domain error<br> -74.6026, 24.7501,
+      1.19405e+24<br> domain error<br> -74.6026, 63.7722, 5.81897e-12<br> domain
+      error<br> -74.6026, 125.28, 9.89214e-47<br> domain error<br> -74.6026,
+      255.547, 3.9726e-108<br> domain error<br> -74.6026, 503.011, 4.87462e-218<br>
+      domain error<br> -74.6026, 1007.46, 0<br> domain error<br> -74.6026,
+      1185.4, 0<br> domain error<br> -74.6026, 3534.52, 0<br> domain error<br>
+      -74.6026, 8071.55, 0<br> domain error<br> -74.6026, 16229.2, 0<br> domain
+      error<br> -74.6026, 32066.2, 0<br> domain error<br> -74.6026, 36367.9,
+      0<br> domain error<br> -72.9046, 24.7501, 5.5618e+22<br> domain error<br>
+      -72.9046, 63.7722, 1.09452e-12<br> domain error<br> -72.9046, 125.28, 3.8393e-47<br>
+      domain error<br> -72.9046, 255.547, 2.45173e-108<br> domain error<br>
+      -72.9046, 503.011, 3.80454e-218<br> domain error<br> -72.9046, 1007.46,
+      0<br> domain error<br> -72.9046, 1185.4, 0<br> domain error<br> -72.9046,
+      3534.52, 0<br> domain error<br> -72.9046, 8071.55, 0<br> domain error<br>
+      -72.9046, 16229.2, 0<br> domain error<br> -72.9046, 32066.2, 0<br> domain
+      error<br> -72.9046, 36367.9, 0<br> domain error<br> -62.3236, 24.7501,
+      6.74518e+14<br> domain error<br> -62.3236, 63.7722, 6.54531e-17<br> domain
+      error<br> -62.3236, 125.28, 1.65653e-49<br> domain error<br> -62.3236,
+      255.547, 1.54767e-109<br> domain error<br> -62.3236, 503.011, 9.22721e-219<br>
+      domain error<br> -62.3236, 1007.46, 0<br> domain error<br> -62.3236,
+      1185.4, 0<br> domain error<br> -62.3236, 3534.52, 0<br> domain error<br>
+      -62.3236, 8071.55, 0<br> domain error<br> -62.3236, 16229.2, 0<br> domain
+      error<br> -62.3236, 32066.2, 0<br> domain error<br> -62.3236, 36367.9,
+      0<br> domain error<br> -55.7932, 24.7501, 2.00028e+10<br> domain error<br>
+      -55.7932, 63.7722, 3.01107e-19<br> domain error<br> -55.7932, 125.28, 8.54693e-51<br>
+      domain error<br> -55.7932, 255.547, 3.47666e-110<br> domain error<br>
+      -55.7932, 503.011, 4.29705e-219<br> domain error<br> -55.7932, 1007.46,
+      0<br> domain error<br> -55.7932, 1185.4, 0<br> domain error<br> -55.7932,
+      3534.52, 0<br> domain error<br> -55.7932, 8071.55, 0<br> domain error<br>
+      -55.7932, 16229.2, 0<br> domain error<br> -55.7932, 32066.2, 0<br> domain
+      error<br> -55.7932, 36367.9, 0<br> domain error<br> -44.3004, 9.50706,
+      5.6936e+22<br> domain error<br> -44.3004, 24.7501, 1242.73<br> domain
+      error<br> -44.3004, 63.7722, 7.99341e-23<br> domain error<br> -44.3004,
+      125.28, 9.88149e-53<br> domain error<br> -44.3004, 255.547, 3.73007e-111<br>
+      domain error<br> -44.3004, 503.011, 1.37367e-219<br> domain error<br>
+      -44.3004, 1007.46, 0<br> domain error<br> -44.3004, 1185.4, 0<br> domain
+      error<br> -44.3004, 3534.52, 0<br> domain error<br> -44.3004, 8071.55,
+      0<br> domain error<br> -44.3004, 16229.2, 0<br> domain error<br> -44.3004,
+      32066.2, 0<br> domain error<br> -44.3004, 36367.9, 0<br> domain error<br>
+      -38.3666, 5.11399, 4.97154e+27<br> domain error<br> -38.3666, 9.50706,
+      1.51436e+17<br> domain error<br> -38.3666, 24.7501, 0.639495<br> domain
+      error<br> -38.3666, 63.7722, 2.19334e-24<br> domain error<br> -38.3666,
+      125.28, 1.45351e-53<br> domain error<br> -38.3666, 255.547, 1.43713e-111<br>
+      domain error<br> -38.3666, 503.011, 8.44445e-220<br> domain error<br>
+      -38.3666, 1007.46, 0<br> domain error<br> -38.3666, 1185.4, 0<br> domain
+      error<br> -38.3666, 3534.52, 0<br> domain error<br> -38.3666, 8071.55,
+      0<br> domain error<br> -38.3666, 16229.2, 0<br> domain error<br> -38.3666,
+      32066.2, 0<br> domain error<br> -38.3666, 36367.9, 0<br> underflow<br>
+      9.3763, 1007.46, 0<br> underflow<br> 9.3763, 1185.4, 0<br> underflow<br>
+      9.3763, 3534.52, 0<br> underflow<br> 9.3763, 8071.55, 0<br> underflow<br>
+      9.3763, 16229.2, 0<br> underflow<br> 9.3763, 32066.2, 0<br> underflow<br>
+      9.3763, 36367.9, 0<br> underflow<br> 9.44412, 1007.46, 0<br> underflow<br>
+      9.44412, 1185.4, 0<br> underflow<br> 9.44412, 3534.52, 0<br> underflow<br>
+      9.44412, 8071.55, 0<br> underflow<br> 9.44412, 16229.2, 0<br> underflow<br>
+      9.44412, 32066.2, 0<br> underflow<br> 9.44412, 36367.9, 0<br> underflow<br>
+      26.4719, 1007.46, 0<br> underflow<br> 26.4719, 1185.4, 0<br> underflow<br>
+      26.4719, 3534.52, 0<br> underflow<br> 26.4719, 8071.55, 0<br> underflow<br>
+      26.4719, 16229.2, 0<br> underflow<br> 26.4719, 32066.2, 0<br> underflow<br>
+      26.4719, 36367.9, 0<br> underflow<br> 62.9447, 1007.46, 0<br> underflow<br>
+      62.9447, 1185.4, 0<br> underflow<br> 62.9447, 3534.52, 0<br> underflow<br>
+      62.9447, 8071.55, 0<br> underflow<br> 62.9447, 16229.2, 0<br> underflow<br>
+      *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h64"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w0">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Kn: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Random_Data"></a>underflow<br>
+      0, 1007.46, 0<br> underflow<br> 0, 1185.4, 0<br> underflow<br> 0, 3534.52,
+      0<br> underflow<br> 0, 8071.55, 0<br> underflow<br> 0, 16229.2, 0<br>
+      underflow<br> 0, 32066.2, 0<br> underflow<br> 0, 36367.9, 0<br> underflow<br>
+      1, 1007.46, 0<br> underflow<br> 1, 1185.4, 0<br> underflow<br> 1, 3534.52,
+      0<br> underflow<br> 1, 8071.55, 0<br> underflow<br> 1, 16229.2, 0<br>
+      underflow<br> 1, 32066.2, 0<br> underflow<br> 1, 36367.9, 0<br> underflow<br>
+      4, 1007.46, 0<br> underflow<br> 4, 1185.4, 0<br> underflow<br> 4, 3534.52,
+      0<br> underflow<br> 4, 8071.55, 0<br> underflow<br> 4, 16229.2, 0<br>
+      underflow<br> 4, 32066.2, 0<br> underflow<br> 4, 36367.9, 0<br> underflow<br>
+      7, 1007.46, 0<br> underflow<br> 7, 1185.4, 0<br> underflow<br> 7, 3534.52,
+      0<br> underflow<br> 7, 8071.55, 0<br> underflow<br> 7, 16229.2, 0<br>
+      underflow<br> 7, 32066.2, 0<br> underflow<br> 7, 36367.9, 0<br> underflow<br>
+      10, 1007.46, 0<br> underflow<br> 10, 1185.4, 0<br> underflow<br> 10,
+      3534.52, 0<br> underflow<br> 10, 8071.55, 0<br> underflow<br> 10, 16229.2,
+      0<br> underflow<br> 10, 32066.2, 0<br> underflow<br> 10, 36367.9, 0<br>
+      underflow<br> 13, 1007.46, 0<br> underflow<br> 13, 1185.4, 0<br> underflow<br>
+      13, 3534.52, 0<br> underflow<br> 13, 8071.55, 0<br> underflow<br> 13,
+      16229.2, 0<br> underflow<br> 13, 32066.2, 0<br> underflow<br> 13, 36367.9,
+      0<br> underflow<br> 16, 1007.46, 0<br> underflow<br> 16, 1185.4, 0<br>
+      underflow<br> 16, 3534.52, 0<br> underflow<br> 16, 8071.55, 0<br> underflow<br>
+      16, 16229.2, 0<br> underflow<br> 16, 32066.2, 0<br> underflow<br> 16,
+      36367.9, 0<br> underflow<br> 19, 1007.46, 0<br> underflow<br> 19, 1185.4,
+      0<br> underflow<br> 19, 3534.52, 0<br> underflow<br> 19, 8071.55, 0<br>
+      underflow<br> 19, 16229.2, 0<br> underflow<br> 19, 32066.2, 0<br> underflow<br>
+      19, 36367.9, 0<br> underflow<br> 22, 1007.46, 0<br> underflow<br> 22,
+      1185.4, 0<br> underflow<br> 22, 3534.52, 0<br> underflow<br> 22, 8071.55,
+      0<br> underflow<br> 22, 16229.2, 0<br> underflow<br> 22, 32066.2, 0<br>
+      underflow<br> 22, 36367.9, 0<br> underflow<br> 25, 1007.46, 0<br> underflow<br>
+      25, 1185.4, 0<br> underflow<br> 25, 3534.52, 0<br> underflow<br> 25,
+      8071.55, 0<br> underflow<br> 25, 16229.2, 0<br> underflow<br> 25, 32066.2,
+      0<br> underflow<br> 25, 36367.9, 0<br> underflow<br> 28, 1007.46, 0<br>
+      underflow<br> 28, 1185.4, 0<br> underflow<br> 28, 3534.52, 0<br> underflow<br>
+      28, 8071.55, 0<br> underflow<br> 28, 16229.2, 0<br> underflow<br> 28,
+      32066.2, 0<br> underflow<br> 28, 36367.9, 0<br> underflow<br> 31, 1007.46,
+      0<br> underflow<br> 31, 1185.4, 0<br> underflow<br> 31, 3534.52, 0<br>
+      underflow<br> 31, 8071.55, 0<br> underflow<br> 31, 16229.2, 0<br> underflow<br>
+      31, 32066.2, 0<br> underflow<br> 31, 36367.9, 0<br> underflow<br> 34,
+      1007.46, 0<br> underflow<br> 34, 1185.4, 0<br> underflow<br> 34, 3534.52,
+      0<br> underflow<br> 34, 8071.55, 0<br> underflow<br> 34, 16229.2, 0<br>
+      underflow<br> 34, 32066.2, 0<br> underflow<br> 34, 36367.9, 0<br> underflow<br>
+      37, 1007.46, 0<br> underflow<br> 37, 1185.4, 0<br> underflow<br> 37,
+      3534.52, 0<br> underflow<br> 37, 8071.55, 0<br> underflow<br> 37, 16229.2,
+      0<br> underflow<br> 37, 32066.2, 0<br> underflow<br> 37, 36367.9, 0<br>
+      underflow<br> 40, 1007.46, 0<br> underflow<br> 40, 1185.4, 0<br> underflow<br>
+      40, 3534.52, 0<br> underflow<br> 40, 8071.55, 0<br> underflow<br> 40,
+      16229.2, 0<br> underflow<br> 40, 32066.2, 0<br> underflow<br> 40, 36367.9,
+      0<br> underflow<br> 43, 1007.46, 0<br> underflow<br> 43, 1185.4, 0<br>
+      underflow<br> 43, 3534.52, 0<br> underflow<br> 43, 8071.55, 0<br> underflow<br>
+      43, 16229.2, 0<br> underflow<br> 43, 32066.2, 0<br> underflow<br> 43,
+      36367.9, 0<br> underflow<br> 46, 1007.46, 0<br> underflow<br> 46, 1185.4,
+      0<br> underflow<br> 46, 3534.52, 0<br> underflow<br> 46, 8071.55, 0<br>
+      underflow<br> 46, 16229.2, 0<br> underflow<br> 46, 32066.2, 0<br> underflow<br>
+      46, 36367.9, 0<br> underflow<br> 49, 1007.46, 0<br> underflow<br> 49,
+      1185.4, 0<br> underflow<br> 49, 3534.52, 0<br> underflow<br> 49, 8071.55,
+      0<br> underflow<br> 49, 16229.2, 0<br> underflow<br> 49, 32066.2, 0<br>
+      underflow<br> 49, 36367.9, 0<br> underflow<br> 52, 1007.46, 0<br> underflow<br>
+      52, 1185.4, 0<br> underflow<br> 52, 3534.52, 0<br> underflow<br> 52,
+      8071.55, 0<br> underflow<br> 52, 16229.2, 0<br> underflow<br> 52, 32066.2,
+      0<br> underflow<br> 52, 36367.9, 0<br> underflow<br> 55, 1007.46, 0<br>
+      underflow<br> 55, 1185.4, 0<br> underflow<br> 55, 3534.52, 0<br> underflow<br>
+      55, 8071.55, 0<br> underflow<br> 55, 16229.2, 0<br> underflow<br> 55,
+      32066.2, 0<br> underflow<br> 55, 36367.9, 0<br> underflow<br> 58, 1007.46,
+      0<br> underflow<br> 58, 1185.4, 0<br> underflow<br> 58, 3534.52, 0<br>
+      underflow<br> 58, 8071.55, 0<br> underflow<br> 58, 16229.2, 0<br> underflow<br>
+      58, 32066.2, 0<br> underflow<br> 58, 36367.9, 0<br> underflow<br> 61,
+      1007.46, 0<br> underflow<br> 61, 1185.4, 0<br> underflow<br> 61, 3534.52,
+      0<br> underflow<br> 61, 8071.55, 0<br> underflow<br> 61, 16229.2, 0<br>
+      underflow<br> 61, 32066.2, 0<br> underflow<br> 61, 36367.9, 0<br> underflow<br>
+      64, 1007.46, 0<br> underflow<br> 64, 1185.4, 0<br> underflow<br> 64,
+      3534.52, 0<br> underflow<br> 64, 8071.55, 0<br> underflow<br> 64, 16229.2,
+      0<br> underflow<br> 64, 32066.2, 0<br> underflow<br> 64, 36367.9, 0<br>
+      underflow<br> 67, 1007.46, 0<br> underflow<br> 67, 1185.4, 0<br> underflow<br>
+      67, 3534.52, 0<br> underflow<br> 67, 8071.55, 0<br> underflow<br> 67,
+      16229.2, 0<br> *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h65"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w1">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Kv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data_large_values_"></a>domain
+      error<br> -1, 3.72917e-155, 2.68156e+154<br> domain error<br> -1.125,
+      3.72917e-155, 5.53984e+173<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h66"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w2">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Kv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data"></a>domain
+      error<br> -5.5, 10, 7.33045e-05<br> domain error<br> -5.5, 100, 5.41275e-45<br>
+      domain error<br> -141.399, 50, 1.30185e+42<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h67"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w3">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Bessel Kn: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Mathworld_Data"></a>domain
+      error<br> -5, 100, 5.27326e-45<br> domain error<br> -10, 1, 1.80713e+08<br>
+      domain error<br> -1000, 700, 6.51562e-31<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h68"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w4">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Kv: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Random_Data"></a>Bad
+      argument in __cyl_bessel_k.<br> -80.4919, 24.7501, 6.57902e+28<br> Bad
+      argument in __cyl_bessel_k.<br> -80.4919, 63.7722, 2.39552e-09<br> Bad
+      argument in __cyl_bessel_k.<br> -80.4919, 125.28, 3.06904e-45<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 255.547, 2.30343e-107<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 503.011, 1.20315e-217<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 1007.46, 2.86537e-438<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 1185.4, 8.63263e-516<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 3534.52, 5.01367e-1537<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 8071.55, 7.76555e-3508<br> Bad argument
+      in __cyl_bessel_k.<br> -80.4919, 16229.2, 0<br> Bad argument in __cyl_bessel_k.<br>
+      -80.4919, 32066.2, 0<br> Bad argument in __cyl_bessel_k.<br> -80.4919,
+      36367.9, 0<br> Bad argument in __cyl_bessel_k.<br> -74.6026, 24.7501, 1.19405e+24<br>
+      Bad argument in __cyl_bessel_k.<br> -74.6026, 63.7722, 5.81897e-12<br>
+      Bad argument in __cyl_bessel_k.<br> -74.6026, 125.28, 9.89214e-47<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 255.547, 3.9726e-108<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 503.011, 4.87462e-218<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 1007.46, 1.82221e-438<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 1185.4, 5.87506e-516<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 3534.52, 4.40608e-1537<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 8071.55, 7.3384e-3508<br> Bad
+      argument in __cyl_bessel_k.<br> -74.6026, 16229.2, 0<br> Bad argument in
+      __cyl_bessel_k.<br> -74.6026, 32066.2, 0<br> Bad argument in __cyl_bessel_k.<br>
+      -74.6026, 36367.9, 0<br> Bad argument in __cyl_bessel_k.<br> -72.9046,
+      24.7501, 5.5618e+22<br> Bad argument in __cyl_bessel_k.<br> -72.9046, 63.7722,
+      1.09452e-12<br> Bad argument in __cyl_bessel_k.<br> -72.9046, 125.28, 3.8393e-47<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 255.547, 2.45173e-108<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 503.011, 3.80454e-218<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 1007.46, 1.60949e-438<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 1185.4, 5.28662e-516<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 3534.52, 4.25273e-1537<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 8071.55, 7.22542e-3508<br>
+      Bad argument in __cyl_bessel_k.<br> -72.9046, 16229.2, 0<br> Bad argument
+      in __cyl_bessel_k.<br> -72.9046, 32066.2, 0<br> Bad argument in __cyl_bessel_k.<br>
+      -72.9046, 36367.9, 0<br> Bad argument in __cyl_bessel_k.<br> -62.3236,
+      24.7501, 6.74518e+14<br> Bad argument in __cyl_bessel_k.<br> -62.3236,
+      63.7722, 6.54531e-17<br> Bad argument in __cyl_bessel_k.<br> -62.3236,
+      125.28, 1.65653e-49<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 255.547,
+      1.54767e-109<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 503.011,
+      9.22721e-219<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 1007.46,
+      7.91894e-439<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 1185.4,
+      2.89281e-516<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 3534.52,
+      3.4736e-1537<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 8071.55,
+      6.6126e-3508<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 16229.2,
+      0<br> Bad argument in __cyl_bessel_k.<br> -62.3236, 32066.2, 0<br> Bad
+      argument in __cyl_bessel_k.<br> -62.3236, 36367.9, 0<br> Bad argument in
+      __cyl_bessel_k.<br> -55.7932, 24.7501, 2.00028e+10<br> Bad argument in
+      __cyl_bessel_k.<br> -55.7932, 63.7722, 3.01107e-19<br> Bad argument in
+      __cyl_bessel_k.<br> -55.7932, 125.28, 8.54693e-51<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 255.547, 3.47666e-110<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 503.011, 4.29705e-219<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 1007.46, 5.40242e-439<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 1185.4, 2.08996e-516<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 3534.52, 3.11458e-1537<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 8071.55, 6.30409e-3508<br> Bad argument in __cyl_bessel_k.<br>
+      -55.7932, 16229.2, 0<br> Bad argument in __cyl_bessel_k.<br> -55.7932,
+      32066.2, 0<br> Bad argument in __cyl_bessel_k.<br> -55.7932, 36367.9, 0<br>
+      Bad argument in __cyl_bessel_k.<br> -44.3004, 9.50706, 5.6936e+22<br> Bad
+      argument in __cyl_bessel_k.<br> -44.3004, 24.7501, 1242.73<br> Bad argument
+      in __cyl_bessel_k.<br> -44.3004, 63.7722, 7.99341e-23<br> Bad argument
+      in __cyl_bessel_k.<br> -44.3004, 125.28, 9.88149e-53<br> Bad argument in
+      __cyl_bessel_k.<br> -44.3004, 255.547, 3.73007e-111<br> Bad argument in
+      __cyl_bessel_k.<br> -44.3004, 503.011, 1.37367e-219<br> Bad argument in
+      __cyl_bessel_k.<br> -44.3004, 1007.46, 3.05398e-439<br> Bad argument in
+      __cyl_bessel_k.<br> *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h69"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w5">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Kv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data_large_values_"></a>Bad
+      argument in __cyl_bessel_k.<br> -1, 3.72917e-155, 2.68156e+154<br> Bad
+      argument in __cyl_bessel_k.<br> -1.125, 3.72917e-155, 5.53984e+173<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h70"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w6"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w6">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Kv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_k.<br> -5.5, 10, 7.33045e-05<br> Bad argument
+      in __cyl_bessel_k.<br> -5.5, 100, 5.41275e-45<br> Bad argument in __cyl_bessel_k.<br>
+      -141.399, 50, 1.30185e+42<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h71"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_in"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_in">Error
+      Output For cyl_bessel_k (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Bessel Kn: Mathworld Data (Integer
+      Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k_integer_orders___cmath__Bessel_Kn_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_bessel_k.<br> -5, 100, 5.27326e-45<br> Bad argument in
+      __cyl_bessel_k.<br> -10, 1, 1.80713e+08<br> Bad argument in __cyl_bessel_k.<br>
+      -1000, 700, 6.51562e-31<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h72"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w7"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_bessel_k_w7">Error
+      Output For cyl_bessel_k with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Bessel Kn: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kn_Mathworld_Data"></a>Bad
+      argument in __cyl_bessel_k.<br> -5, 100, 5.27326e-45<br> Bad argument in
+      __cyl_bessel_k.<br> -10, 1, 1.80713e+08<br> Bad argument in __cyl_bessel_k.<br>
+      -1000, 700, 6.51562e-31<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h73"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wit"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wit">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Yv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data_large_values_"></a>domain
+      error<br> -0.5, 1.2459e-206, 8.90598e-104<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h74"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi0">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Yv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data"></a>domain
+      error<br> -5.5, 3.125, -0.0274994<br> domain error<br> -5.5, 10000, -0.00759344<br>
+      domain error<br> -10.0003, 0.000976562, -1.50382e+38<br> domain error<br>
+      -10.0003, 100, 0.0583042<br> domain error<br> -141.75, 100, -3.8101e+09<br>
+      domain error<br> -8.5, 12.5664, 0.0436808<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h75"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi1">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library GSL
+      2.1 and test data Yn: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yn_Mathworld_Data"></a>domain
+      error<br> -5, 1e+06, 0.000331052<br> domain error<br> -10, 1e+06, 0.000725952<br>
+      domain error<br> -1000, 700, -1.88753e+77<br> domain error<br> -25, 8,
+      3.45114e+08<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h76"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi2">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Yv: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Random_Data"></a>CAUTION:
+      Gross error found at entry 394.<br> Found: -3.29903 Expected 0.0192842 Error:
+      1.18973e+4932<br> 125.28, 1007.46, 0.0192842<br> CAUTION: Gross error found
+      at entry 395.<br> Found: 1.13543 Expected 0.0230358 Error: 48.2897<br>
+      125.28, 1185.4, 0.0230358<br> CAUTION: Gross error found at entry 396.<br>
+      Found: 0.00119445 Expected 0.00460223 Error: 2.85302<br> 125.28, 3534.52,
+      0.00460223<br> CAUTION: Gross error found at entry 403.<br> Found: 1068
+      Expected -0.00270959 Error: 1.18973e+4932<br> 255.547, 1007.46, -0.00270959<br>
+      CAUTION: Gross error found at entry 404.<br> Found: -395.006 Expected 0.00738845
+      Error: 1.18973e+4932<br> 255.547, 1185.4, 0.00738845<br> CAUTION: Gross
+      error found at entry 405.<br> Found: 1.08701 Expected -0.000407036 Error:
+      1.18973e+4932<br> 255.547, 3534.52, -0.000407036<br> CAUTION: Gross error
+      found at entry 406.<br> Found: 0.0232211 Expected 0.00886946 Error: 1.61809<br>
+      255.547, 8071.55, 0.00886946<br> CAUTION: Gross error found at entry 411.<br>
+      Found: 65895.7 Expected -0.0158467 Error: 1.18973e+4932<br> 503.011, 1007.46,
+      -0.0158467<br> CAUTION: Gross error found at entry 412.<br> Found: -123316
+      Expected 0.00594357 Error: 1.18973e+4932<br> 503.011, 1185.4, 0.00594357<br>
+      CAUTION: Gross error found at entry 413.<br> Found: -706.209 Expected 0.010151
+      Error: 1.18973e+4932<br> 503.011, 3534.52, 0.010151<br> CAUTION: Gross
+      error found at entry 414.<br> Found: -21.2081 Expected 0.00888375 Error:
+      1.18973e+4932<br> 503.011, 8071.55, 0.00888375<br> CAUTION: Gross error
+      found at entry 415.<br> Found: 0.0272835 Expected 0.00552287 Error: 3.94008<br>
+      503.011, 16229.2, 0.00552287<br> CAUTION: Gross error found at entry 416.<br>
+      Found: 0.0103324 Expected 0.00445559 Error: 1.31898<br> 503.011, 32066.2,
+      0.00445559<br> CAUTION: Gross error found at entry 417.<br> Found: 0.00540788
+      Expected -0.00384344 Error: 1.18973e+4932<br> 503.011, 36367.9, -0.00384344<br>
+      CAUTION: Gross error found at entry 418.<br> Found: 5.43091e+07 Expected
+      -0.0772843 Error: 1.18973e+4932<br> 1007.46, 1007.46, -0.0772843<br> CAUTION:
+      Gross error found at entry 419.<br> Found: -2.84383e+07 Expected 0.0304312
+      Error: 1.18973e+4932<br> 1007.46, 1185.4, 0.0304312<br> CAUTION: Gross
+      error found at entry 420.<br> Found: -61440.2 Expected -0.00474217 Error:
+      1.29562e+07<br> 1007.46, 3534.52, -0.00474217<br> CAUTION: Gross error
+      found at entry 421.<br> Found: -4126.89 Expected -0.0074205 Error: 556146<br>
+      1007.46, 8071.55, -0.0074205<br> CAUTION: Gross error found at entry 422.<br>
+      Found: -69.2831 Expected -0.00179572 Error: 38581.4<br> 1007.46, 16229.2,
+      -0.00179572<br> CAUTION: Gross error found at entry 423.<br> Found: 2.32048
+      Expected 0.000750053 Error: 3092.76<br> 1007.46, 32066.2, 0.000750053<br>
+      CAUTION: Gross error found at entry 424.<br> Found: 3.90724 Expected 0.00305125
+      Error: 1279.54<br> 1007.46, 36367.9, 0.00305125<br> CAUTION: Gross error
+      found at entry 425.<br> Found: -1.83374e+08 Expected -7.25176e+28 Error:
+      3.95463e+20<br> 1185.4, 1007.46, -7.25176e+28<br> CAUTION: Gross error
+      found at entry 426.<br> Found: 1.09822e+08 Expected -0.0732059 Error: 1.18973e+4932<br>
+      1185.4, 1185.4, -0.0732059<br> CAUTION: Gross error found at entry 427.<br>
+      Found: 315632 Expected 0.000479585 Error: 6.58136e+08<br> 1185.4, 3534.52,
+      0.000479585<br> CAUTION: Gross error found at entry 428.<br> Found: 16815.6
+      Expected 0.00174909 Error: 9.61391e+06<br> 1185.4, 8071.55, 0.00174909<br>
+      CAUTION: Gross error found at entry 429.<br> Found: 133.356 Expected 0.00416288
+      Error: 32033.6<br> 1185.4, 16229.2, 0.00416288<br> CAUTION: Gross error
+      found at entry 430.<br> Found: -1.38401 Expected -0.000320056 Error: 4323.27<br>
+      1185.4, 32066.2, -0.000320056<br> CAUTION: Gross error found at entry 431.<br>
+      Found: -17.7085 Expected -0.00417656 Error: 4238.96<br> 1185.4, 36367.9,
+      -0.00417656<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h77"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi3">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Yv: Mathworld Data (large values)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data_large_values_"></a>Bad
+      argument in __cyl_neumann_n.<br> -0.5, 1.2459e-206, 8.90598e-104<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h78"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi4">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Yv: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data"></a>Bad
+      argument in __cyl_neumann_n.<br> -5.5, 3.125, -0.0274994<br> Bad argument
+      in __cyl_neumann_n.<br> -5.5, 10000, -0.00759344<br> Bad argument in __cyl_neumann_n.<br>
+      -10.0003, 0.000976562, -1.50382e+38<br> Bad argument in __cyl_neumann_n.<br>
+      -10.0003, 100, 0.0583042<br> Bad argument in __cyl_neumann_n.<br> -141.75,
+      100, -3.8101e+09<br> Bad argument in __cyl_neumann_n.<br> -8.5, 12.5664,
+      0.0436808<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h79"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_int"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_int">Error
+      Output For cyl_neumann (integer orders) with compiler GNU C++ version 7.1.0
+      and library &lt;cmath&gt; and test data Yn: Mathworld Data (Integer Version)</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann_integer_orders___cmath__Yn_Mathworld_Data_Integer_Version_"></a>Bad
+      argument in __cyl_neumann_n.<br> -5, 1e+06, 0.000331052<br> Bad argument
+      in __cyl_neumann_n.<br> -10, 1e+06, 0.000725952<br> CAUTION: Gross error
+      found at entry 7.<br> Found: 0.0540745 Expected 0.00217255 Error: 23.8899<br>
+      1000, 100000, 0.00217255<br> Bad argument in __cyl_neumann_n.<br> -1000,
+      700, -1.88753e+77<br> Bad argument in __cyl_neumann_n.<br> -25, 8, 3.45114e+08<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h80"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_cyl_neumann_wi5">Error
+      Output For cyl_neumann with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Yn: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yn_Mathworld_Data"></a>Bad
+      argument in __cyl_neumann_n.<br> -5, 1e+06, 0.000331052<br> Bad argument
+      in __cyl_neumann_n.<br> -10, 1e+06, 0.000725952<br> CAUTION: Gross error
+      found at entry 7.<br> Found: 0.0540745 Expected 0.00217255 Error: 23.8899<br>
+      1000, 100000, 0.00217255<br> Bad argument in __cyl_neumann_n.<br> -1000,
+      700, -1.88753e+77<br> Bad argument in __cyl_neumann_n.<br> -25, 8, 3.45114e+08<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h81"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_beta_with_compi"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_beta_with_compi">Error
+      Output For beta with compiler GNU C++ version 7.1.0 and library GSL 2.1 and
+      test data Beta Function: Small Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_beta_GSL_2_1_Beta_Function_Small_Values"></a>CAUTION:
+      Found non-finite result, when a finite value was expected at entry 22<br>
+      Found: inf Expected 5.69832e+154 Error: 1.79769e+308<br> 2.98334e-154, 1.86459e-155,
+      5.69832e+154<br> CAUTION: Gross error found at entry 22.<br> Found: inf
+      Expected 5.69832e+154 Error: 1.79769e+308<br> 2.98334e-154, 1.86459e-155,
+      5.69832e+154<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h82"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_rj_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_rj_with_">Error
+      Output For ellint_rj with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data RJ: Random data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ellint_rj_GSL_2_1_RJ_Random_data"></a>domain
+      error<br> 1.77787e-31, 1.40657e+18, 10.046, -4.8298e-10, -2.51795e-10<br>
+      domain error<br> 3.37448e-31, 4.65772e+22, 0.469831, -4.33756e-09, -2.95865e-11<br>
+      domain error<br> 5.25297e-31, 5.85483e+25, 2.02482e-15, -1.87347e-28, 3.36445e+07<br>
+      domain error<br> 6.22216e-31, 3.43401e+23, 0.673005, -2.7626e-13, -7.58898e-12<br>
+      domain error<br> 6.26875e-31, 2.62568e-13, 1.06394e+24, -1.36451e+14, -6.70372e-25<br>
+      domain error<br> 6.84599e-31, 3.57666e-29, 1.82191e+11, -3.63292e+08, -8.35235e-13<br>
+      domain error<br> 8.90482e-31, 1.97093e-28, 1.14939e-31, -1.26424e-12, -6.39454e+26<br>
+      domain error<br> 1.07374e-30, 1.70005e-12, 1.88773e-25, -1.16558e-29, 4.31668e+32<br>
+      domain error<br> 1.17141e-30, 24.2523, 3.67522e+21, -4.79065e-22, 2.2702e-05<br>
+      domain error<br> 1.64143e-30, 2.01978e-22, 2.58942e+12, -8.52649e-12, -2.82629e+06<br>
+      domain error<br> 1.85141e-30, 0.0386712, 2.37846e-13, -1.57357e+15, -1.38574e-13<br>
+      domain error<br> 2.70034e-30, 4.43896e-24, 7.54576e+16, -1.1436e-14, -1.10082e+07<br>
+      domain error<br> 4.01162e-30, 2.73343e+23, 1.32333e+13, -1.86032e-07, -4.16626e-25<br>
+      domain error<br> 4.13665e-30, 1.08034e-30, 3.13547e-16, -5.58099e-08, -5.14643e+16<br>
+      domain error<br> 4.3728e-30, 7.79812e+12, 8.58894e+21, -4.58312e-24, 5.28901e-09<br>
+      domain error<br> 5.6397e-30, 1.64768e+23, 9.64423e-15, -1.82207e+20, -1.62886e-30<br>
+      domain error<br> 9.89841e-30, 9.69731e+10, 1.03263e+21, -0.00343967, -9.62714e-22<br>
+      domain error<br> 1.3797e-29, 6.03357e+08, 5.62497e-15, -5.87235e+16, -5.80287e-20<br>
+      domain error<br> 1.96963e-29, 3.22384e-25, 2.92187e+23, -3.80643e+27, -8.2513e-38<br>
+      domain error<br> 2.00927e-29, 5.6976e-05, 1.16219e+25, -1.64129e-22, 0.00318397<br>
+      domain error<br> 7.29506e-29, 5904.94, 9.93922e+10, -19.528, -1.60795e-09<br>
+      domain error<br> 1.19698e-28, 1.66816e-22, 28472, -1.21137e-19, -5.84699e+17<br>
+      domain error<br> 1.64095e-28, 2.13421e-21, 7.8914e-15, -1.77584e-07, -1.70156e+15<br>
+      domain error<br> 2.03475e-28, 4.40987e+15, 28739.1, -9624.5, -1.29418e-12<br>
+      domain error<br> 2.73113e-28, 1.08457e+19, 4.00674e+08, -5.70043e-11, 1.092e-17<br>
+      domain error<br> 5.52633e-28, 1.45707e-17, 1.29411e-27, -1.67255e-15, -5.84881e+24<br>
+      domain error<br> 5.61278e-28, 9.22881e-12, 8.64222e-13, -5.6282e+23, -4.57782e-18<br>
+      domain error<br> 6.08465e-28, 1.32249e+26, 1.25536e-30, -1.89097e-14, -223.246<br>
+      domain error<br> 9.50943e-28, 2.49682e-18, 0.000904584, -3.1419e-12, -2.44954e+14<br>
+      domain error<br> 1.20779e-27, 35383.2, 1.35533e-15, -4.67834e-24, 3.20581e+15<br>
+      domain error<br> 2.29822e-27, 3.35258e-16, 2.60689e+08, -9.99161e-20, -5.4924e+11<br>
+      domain error<br> 3.0926e-27, 3.11839e-13, 3.37883e-23, -1.94349e+26, -3.55191e-19<br>
+      domain error<br> 3.12803e-27, 1.15118e+16, 1.52495e+10, -4.2399e+13, -3.07515e-21<br>
+      domain error<br> 4.49747e-27, 716.685, 1.69018e-23, -1.32558e-14, -9.2291e+13<br>
+      domain error<br> 4.84575e-27, 3.44028e-27, 3.42665e+09, -812.399, -2.12767e-06<br>
+      domain error<br> 5.81424e-27, 3.70845e-15, 3.69338e+11, -4.15794e+06, -2.95944e-11<br>
+      domain error<br> 6.08654e-27, 1.23742e+08, 1.09124e-26, -2.19946e+16, -4.90896e-19<br>
+      domain error<br> 7.71967e-27, 9.46115e-26, 1.24324e+25, -522800, -5.83203e-17<br>
+      domain error<br> 9.20037e-27, 207550, 2.45782e-17, -6.06901e+29, -2.88945e-31<br>
+      domain error<br> 1.75502e-26, 5.81507e+16, 8.83063e+21, -1.11214e-21, 1.57697e-11<br>
+      domain error<br> 2.29965e-26, 2.9716e-21, 1.81059e-25, -5.23972e-08, -6.23302e+18<br>
+      domain error<br> 2.32628e-26, 0.0655133, 1.62901e-21, -7.15441e-17, -9.88586e+17<br>
+      domain error<br> 3.49194e-26, 2.53343e+14, 756.217, -1.3359e+10, -1.275e-16<br>
+      domain error<br> 1.009e-25, 0.0694304, 1.20267e-14, -1.55746e-22, 2.10701e+17<br>
+      domain error<br> 3.54771e-25, 1.67999e-27, 2.3917e+24, -9.98754e+25, -1.11704e-36<br>
+      domain error<br> 6.31714e-25, 3.4594e-28, 6.37951e-24, -1.25529e-24, -9.56292e+35<br>
+      domain error<br> 6.74086e-25, 2.47169e+12, 1.32962e+23, -6.78845e+06, -3.32861e-24<br>
+      domain error<br> 1.8099e-24, 4.5215e-06, 8.66937e-11, -3.70795e-08, -1.41893e+11<br>
+      domain error<br> 2.29798e-24, 9.30454e-30, 6.56584e-17, -9890.38, -373149<br>
+      domain error<br> 2.88161e-24, 8.82377e-05, 1.57747e+21, -4.25068e-24, 2260.61<br>
+      domain error<br> 3.25991e-24, 1.92923e+29, 3.09752e-05, -1.00986e+11, -1.25485e-24<br>
+      domain error<br> 6.36705e-24, 2.8074e+22, 1.75569e-13, -1.53152e+24, -4.89823e-34<br>
+      domain error<br> 7.90772e-24, 2.11611e-30, 1.42682e-07, -0.00296297, -5.38814e+07<br>
+      domain error<br> 1.05302e-23, 4.83473e+26, 4.43149e-30, -1.56818e+13, -3.6836e-25<br>
+      *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h83"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_1_with_c"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_1_with_c">Error
+      Output For ellint_1 with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Elliptic Integral F: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_1__cmath__Elliptic_Integral_F_Mathworld_Data"></a>CAUTION:
+      Gross error found at entry 9.<br> Found: -7.02862e+09 Expected 1.04181e+20
+      Error: 1.18973e+4932<br> 1e+20, 0.390625, 1.04181e+20<br> CAUTION: Gross
+      error found at entry 10.<br> Found: -9.3866e+09 Expected 1.39133e+50 Error:
+      1.18973e+4932<br> 1e+50, 0.875, 1.39133e+50<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h84"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_2_comple"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_2_comple">Error
+      Output For ellint_2 (complete) with compiler GNU C++ version 7.1.0 and library
+      GSL 2.1 and test data Elliptic Integral E: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ellint_2_complete__GSL_2_1_Elliptic_Integral_E_Mathworld_Data"></a>domain
+      error<br> -1, 1<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h85"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_2_with_c"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_2_with_c">Error
+      Output For ellint_2 with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Elliptic Integral E: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_2__cmath__Elliptic_Integral_E_Mathworld_Data"></a>CAUTION:
+      Gross error found at entry 7.<br> Found: -6.3027e+09 Expected 9.34215e+09
+      Error: 1.18973e+4932<br> 1e+10, -0.5, 9.34215e+09<br> CAUTION: Gross error
+      found at entry 8.<br> Found: -6.48129e+09 Expected 7.08861e+19 Error: 1.18973e+4932<br>
+      7.3787e+19, 0.390625, 7.08861e+19<br> CAUTION: Gross error found at entry
+      9.<br> Found: -5.13973e+09 Expected 7.1259e+49 Error: 1.18973e+4932<br>
+      9.35361e+49, 0.878906, 7.1259e+49<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h86"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_comple"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_comple">Error
+      Output For ellint_3 (complete) with compiler GNU C++ version 7.1.0 and library
+      GSL 2.1 and test data Complete Elliptic Integral PI: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ellint_3_complete__GSL_2_1_Complete_Elliptic_Integral_PI_Mathworld_Data"></a>domain
+      error<br> -4.14952e+180, 0.5, 7.71119e-91<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h87"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_c"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_c">Error
+      Output For ellint_3 with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Elliptic Integral PI: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ellint_3_GSL_2_1_Elliptic_Integral_PI_Mathworld_Data"></a>domain
+      error<br> 1.125, 10, 0.25, 0.662468<br> domain error<br> 1.125, 3, 0.25,
+      -0.142697<br> domain error<br> 1.00391, 21.5, 0.125, -0.535406<br> domain
+      error<br> 1, 2, 0.5, -2.87535<br> domain error<br> 1, -2, 0.5, 2.87535<br>
+      domain error<br> 1, 2, 6.22302e-61, -2.18504<br> domain error<br> 1,
+      -2, 6.22302e-61, 2.18504<br> domain error<br> 20, 3.14257, 0.5, 0.000975941<br>
+      domain error<br> 20, -3.14257, 0.5, -0.000975941<br> domain error<br>
+      1.01562, 1.6958, 0.5, -27.1647<br> domain error<br> 1.01562, -1.6958, 0.5,
+      27.1647<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h88"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_compl0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_compl0">Error
+      Output For ellint_3 (complete) with compiler GNU C++ version 7.1.0 and library
+      &lt;cmath&gt; and test data Complete Elliptic Integral PI: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Random_Data"></a>Argument
+      too small in __ellint_rj<br> -87.1743, 0.126987, 0.167413<br> Argument
+      too small in __ellint_rj<br> -87.1743, 0.135477, 0.167431<br> Argument
+      too small in __ellint_rj<br> -87.1743, 0.221034, 0.167683<br> Argument
+      too small in __ellint_rj<br> -87.1743, 0.308167, 0.168078<br> Argument
+      too small in __ellint_rj<br> -87.1743, 0.632359, 0.17122<br> Argument too
+      small in __ellint_rj<br> -87.1743, 0.814724, 0.175341<br> Argument too
+      small in __ellint_rj<br> -87.1743, 0.835009, 0.176056<br> Argument too
+      small in __ellint_rj<br> -87.1743, 0.905792, 0.179501<br> Argument too
+      small in __ellint_rj<br> -87.1743, 0.913376, 0.180014<br> Argument too
+      small in __ellint_rj<br> -87.1743, 0.968868, 0.186162<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.126987, 0.168233<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.135477, 0.168252<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.221034, 0.168506<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.308167, 0.168905<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.632359, 0.172077<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.814724, 0.176237<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.835009, 0.176958<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.905792, 0.180437<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.913376, 0.180955<br> Argument too
+      small in __ellint_rj<br> -86.3168, 0.968868, 0.187163<br> Argument too
+      small in __ellint_rj<br> -77.6756, 0.126987, 0.177238<br> Argument too
+      small in __ellint_rj<br> -77.6756, 0.135477, 0.177258<br> Argument too
+      small in __ellint_rj<br> -77.6756, 0.221034, 0.17754<br> Argument too small
+      in __ellint_rj<br> -77.6756, 0.308167, 0.17798<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.632359, 0.181485<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.814724, 0.186089<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.835009, 0.186888<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.905792, 0.190742<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.913376, 0.191315<br> Argument too small in
+      __ellint_rj<br> -77.6756, 0.968868, 0.1982<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.126987, 0.188077<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.135477, 0.188099<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.221034, 0.188414<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.308167, 0.188907<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.632359, 0.192834<br> Argument too small in __ellint_rj<br>
+      -68.8751, 0.814724, 0.198<br> Argument too small in __ellint_rj<br> -68.8751,
+      0.835009, 0.198896<br> Argument too small in __ellint_rj<br> -68.8751,
+      0.905792, 0.203226<br> Argument too small in __ellint_rj<br> -68.8751,
+      0.913376, 0.203871<br> Argument too small in __ellint_rj<br> -68.8751,
+      0.968868, 0.211615<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.126987, 0.258074<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.135477, 0.258115<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.221034, 0.258686<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.308167, 0.259579<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.632359, 0.266738<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.814724, 0.276242<br> Argument too small in __ellint_rj<br> -36.1317,
+      0.835009, 0.2779<br> Argument too small in __ellint_rj<br> -36.1317, 0.905792,
+      0.285938<br> Argument too small in __ellint_rj<br> -36.1317, 0.913376,
+      0.287139<br> Argument too small in __ellint_rj<br> -36.1317, 0.968868,
+      0.301608<br> Argument too small in __ellint_rj<br> -17.7129, 0.126987,
+      0.363673<br> Argument too small in __ellint_rj<br> -17.7129, 0.135477,
+      0.36375<br> Argument too small in __ellint_rj<br> -17.7129, 0.221034, 0.364822<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.308167, 0.366503<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.632359, 0.380066<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.814724, 0.398311<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.835009, 0.401518<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.905792, 0.417145<br>
+      Argument too small in __ellint_rj<br> -17.7129, 0.913376, 0.41949<br> Argument
+      too small in __ellint_rj<br> -17.7129, 0.968868, 0.447893<br> Argument
+      too small in __ellint_rj<br> -15.6641, 0.126987, 0.385409<br> Argument
+      too small in __ellint_rj<br> -15.6641, 0.135477, 0.385495<br> Argument
+      too small in __ellint_rj<br> -15.6641, 0.221034, 0.386686<br> Argument
+      too small in __ellint_rj<br> -15.6641, 0.308167, 0.388553<br> Argument
+      too small in __ellint_rj<br> -15.6641, 0.632359, 0.403643<br> Argument
+      too small in __ellint_rj<br> *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY
+      ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h89"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_compl1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_compl1">Error
+      Output For ellint_3 (complete) with compiler GNU C++ version 7.1.0 and library
+      &lt;cmath&gt; and test data Complete Elliptic Integral PI: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Mathworld_Data"></a>CAUTION:
+      Gross error found at entry 3.<br> Found: 1.28255 Expected 2.22144 Error:
+      0.732051<br> 0.5, 0, 2.22144<br> Argument too small in __ellint_rj<br>
+      -4, 0.3, 0.712709<br> Argument too small in __ellint_rj<br> -100000, -0.5,
+      0.00496945<br> Argument too small in __ellint_rj<br> -1e+10, -0.75, 1.5708e-05<br>
+      CAUTION: Gross error found at entry 8.<br> Found: 1.45615 Expected 101.045
+      Error: 68.3919<br> 0.999023, -0.875, 101.045<br> Argument too small in
+      __ellint_rj<br> -4.14952e+180, 0.5, 7.71119e-91<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h90"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_0">Error
+      Output For ellint_3 with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Elliptic Integral PI: Large Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Large_Random_Data"></a>Argument
+      too small in __ellint_rj<br> -88.2952, -8.04919, 0.814724, -0.874724<br>
+      Argument too small in __ellint_rj<br> -88.2952, -7.46026, 0.135477, -0.827189<br>
+      Argument too small in __ellint_rj<br> -88.2952, -7.29046, 0.905792, -0.877476<br>
+      Argument too small in __ellint_rj<br> -88.2952, -6.23236, 0.835009, -0.652152<br>
+      Argument too small in __ellint_rj<br> -88.2952, -5.57932, 0.126987, -0.512276<br>
+      Argument too small in __ellint_rj<br> -88.2952, -4.43004, 0.968868, -0.543324<br>
+      Argument too small in __ellint_rj<br> -88.2952, -3.83666, 0.913376, -0.513389<br>
+      Argument too small in __ellint_rj<br> -88.2952, 0.93763, 0.221034, 0.158243<br>
+      Argument too small in __ellint_rj<br> -88.2952, 0.944412, 0.632359, 0.160101<br>
+      Argument too small in __ellint_rj<br> -88.2952, 2.64719, 0.308167, 0.188127<br>
+      Argument too small in __ellint_rj<br> -88.2952, 6.29447, 0.0975404, 0.676465<br>
+      Argument too small in __ellint_rj<br> -88.2952, 6.70017, 0.547221, 0.817785<br>
+      Argument too small in __ellint_rj<br> -88.2952, 8.11584, 0.278498, 0.837452<br>
+      Argument too small in __ellint_rj<br> -88.2952, 8.26752, 0.188382, 0.837571<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.15014, 0.546881, 0.885365<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.29777, 0.992881, 1.06701<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.3539, 0.957507, 1.03573<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.37736, 0.996461, 1.13933<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.85763, 0.964889, 1.24906<br>
+      Argument too small in __ellint_rj<br> -88.2952, 9.92923, 0.967695, 1.25621<br>
+      Argument too small in __ellint_rj<br> -86.8166, -8.04919, 0.157613, -0.841405<br>
+      Argument too small in __ellint_rj<br> -86.8166, -7.46026, 0.725839, -0.859877<br>
+      Argument too small in __ellint_rj<br> -86.8166, -7.29046, 0.970593, -0.914439<br>
+      Argument too small in __ellint_rj<br> -86.8166, -6.23236, 0.98111, -0.710627<br>
+      Argument too small in __ellint_rj<br> -86.8166, -5.57932, 0.957167, -0.58106<br>
+      Argument too small in __ellint_rj<br> -86.8166, -4.43004, 0.109862, -0.499839<br>
+      Argument too small in __ellint_rj<br> -86.8166, -3.83666, 0.485376, -0.494286<br>
+      Argument too small in __ellint_rj<br> -86.8166, 0.93763, 0.798106, 0.162644<br>
+      Argument too small in __ellint_rj<br> -86.8166, 0.944412, 0.80028, 0.16282<br>
+      Argument too small in __ellint_rj<br> -86.8166, 2.64719, 0.297029, 0.18978<br>
+      Argument too small in __ellint_rj<br> -86.8166, 6.29447, 0.141886, 0.682392<br>
+      Argument too small in __ellint_rj<br> -86.8166, 6.70017, 0.00478348, 0.812885<br>
+      Argument too small in __ellint_rj<br> -86.8166, 8.11584, 0.421761, 0.849249<br>
+      Argument too small in __ellint_rj<br> -86.8166, 8.26752, 0.112465, 0.843648<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.15014, 0.915736, 0.953733<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.29777, 0.639763, 0.936743<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.3539, 0.792207, 0.987359<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.37736, 0.878431, 1.02525<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.85763, 0.959492, 1.25508<br>
+      Argument too small in __ellint_rj<br> -86.8166, 9.92923, 0.503663, 1.16735<br>
+      Argument too small in __ellint_rj<br> -84.7616, -8.04919, 0.655741, -0.873305<br>
+      Argument too small in __ellint_rj<br> -84.7616, -7.46026, 0.797929, -0.879044<br>
+      Argument too small in __ellint_rj<br> -84.7616, -7.29046, 0.0357117, -0.840785<br>
+      Argument too small in __ellint_rj<br> -84.7616, -6.23236, 0.361294, -0.635502<br>
+      Argument too small in __ellint_rj<br> -84.7616, -5.57932, 0.849129, -0.558231<br>
+      Argument too small in __ellint_rj<br> -84.7616, -4.43004, 0.211924, -0.506533<br>
+      Argument too small in __ellint_rj<br> -84.7616, -3.83666, 0.933993, -0.527681<br>
+      Argument too small in __ellint_rj<br> -84.7616, 0.93763, 0.68136, 0.163458<br>
+      Argument too small in __ellint_rj<br> -84.7616, 0.944412, 0.678735, 0.163582<br>
+      Argument too small in __ellint_rj<br> -84.7616, 2.64719, 0.398739, 0.193458<br>
+      Argument too small in __ellint_rj<br> -84.7616, 6.29447, 0.75774, 0.716086<br>
+      Argument too small in __ellint_rj<br> -84.7616, 6.70017, 0.740647, 0.847849<br>
+      Argument too small in __ellint_rj<br> -84.7616, 8.11584, 0.743132, 0.883827<br>
+      Argument too small in __ellint_rj<br> -84.7616, 8.26752, 0.474759, 0.864181<br>
+      Argument too small in __ellint_rj<br> -84.7616, 9.15014, 0.392227, 0.895646<br>
+      Argument too small in __ellint_rj<br> -84.7616, 9.29777, 0.422088, 0.933423<br>
+      Argument too small in __ellint_rj<br> *** FURTHER CONTENT HAS BEEN TRUNCATED
+      FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h91"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_1">Error
+      Output For ellint_3 with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Elliptic Integral PI: Random Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Random_Data"></a>CAUTION:
+      Gross error found at entry 150.<br> Found: 1.09748 Expected 1.76311 Error:
+      0.606506<br> 0.546881, 1.27977, 0.349984, 1.76311<br> CAUTION: Gross error
+      found at entry 151.<br> Found: 1.39529 Expected 2.4686 Error: 0.769232<br>
+      0.546881, 1.31163, 0.907365, 2.4686<br> CAUTION: Gross error found at entry
+      152.<br> Found: 1.17627 Expected 2.03097 Error: 0.726615<br> 0.546881,
+      1.42281, 0.196595, 2.03097<br> CAUTION: Gross error found at entry 153.<br>
+      Found: 1.47192 Expected 2.76894 Error: 0.881179<br> 0.546881, 1.43473, 0.848468,
+      2.76894<br> CAUTION: Gross error found at entry 154.<br> Found: 1.23674
+      Expected 2.22733 Error: 0.800966<br> 0.546881, 1.50405, 0.251084, 2.22733<br>
+      CAUTION: Gross error found at entry 155.<br> Found: 1.87704 Expected 3.98415
+      Error: 1.12257<br> 0.546881, 1.51564, 0.955018, 3.98415<br> CAUTION: Gross
+      error found at entry 156.<br> Found: 1.35817 Expected 2.53989 Error: 0.870091<br>
+      0.546881, 1.52005, 0.616045, 2.53989<br> CAUTION: Gross error found at entry
+      157.<br> Found: 1.48427 Expected 2.87082 Error: 0.934166<br> 0.546881,
+      1.52189, 0.778898, 2.87082<br> CAUTION: Gross error found at entry 158.<br>
+      Found: 1.32687 Expected 2.48679 Error: 0.874176<br> 0.546881, 1.55961, 0.473289,
+      2.48679<br> CAUTION: Gross error found at entry 159.<br> Found: 2.37485
+      Expected 5.58805 Error: 1.35301<br> 0.546881, 1.56524, 0.98746, 5.58805<br>
+      CAUTION: Gross error found at entry 170.<br> Found: 1.08889 Expected 1.74565
+      Error: 0.603142<br> 0.547221, 1.27977, 0.285839, 1.74565<br> CAUTION: Gross
+      error found at entry 171.<br> Found: 1.21346 Expected 2.03956 Error: 0.680778<br>
+      0.547221, 1.31163, 0.67982, 2.03956<br> CAUTION: Gross error found at entry
+      172.<br> Found: 1.36407 Expected 2.48392 Error: 0.820965<br> 0.547221,
+      1.42281, 0.7572, 2.48392<br> CAUTION: Gross error found at entry 173.<br>
+      Found: 1.21442 Expected 2.12881 Error: 0.752947<br> 0.547221, 1.43473, 0.39232,
+      2.12881<br> CAUTION: Gross error found at entry 174.<br> Found: 1.4409
+      Expected 2.74399 Error: 0.904352<br> 0.547221, 1.50405, 0.753729, 2.74399<br>
+      CAUTION: Gross error found at entry 175.<br> Found: 1.32796 Expected 2.46156
+      Error: 0.853642<br> 0.547221, 1.51564, 0.561557, 2.46156<br> CAUTION: Gross
+      error found at entry 176.<br> Found: 1.27163 Expected 2.32413 Error: 0.82767<br>
+      0.547221, 1.52005, 0.380446, 2.32413<br> CAUTION: Gross error found at entry
+      177.<br> Found: 1.24298 Expected 2.25511 Error: 0.814274<br> 0.547221,
+      1.52189, 0.208068, 2.25511<br> CAUTION: Gross error found at entry 178.<br>
+      Found: 1.36528 Expected 2.58635 Error: 0.894379<br> 0.547221, 1.55961, 0.567822,
+      2.58635<br> CAUTION: Gross error found at entry 179.<br> Found: 1.35151
+      Expected 2.55463 Error: 0.890206<br> 0.547221, 1.56524, 0.527371, 2.55463<br>
+      CAUTION: Gross error found at entry 189.<br> Found: 1.01047 Expected 1.52344
+      Error: 0.507658<br> 0.632359, 0.993308, 0.964966, 1.52344<br> CAUTION:
+      Gross error found at entry 190.<br> Found: 1.05231 Expected 1.84135 Error:
+      0.749817<br> 0.632359, 1.27977, 0.129906, 1.84135<br> CAUTION: Gross error
+      found at entry 191.<br> Found: 1.07393 Expected 1.92224 Error: 0.789918<br>
+      0.632359, 1.31163, 0.154438, 1.92224<br> CAUTION: Gross error found at entry
+      192.<br> Found: 1.22616 Expected 2.43657 Error: 0.987156<br> 0.632359,
+      1.42281, 0.568824, 2.43657<br> CAUTION: Gross error found at entry 193.<br>
+      Found: 1.18462 Expected 2.33142 Error: 0.968083<br> 0.632359, 1.43473, 0.394908,
+      2.33142<br> CAUTION: Gross error found at entry 194.<br> Found: 1.25094
+      Expected 2.59169 Error: 1.0718<br> 0.632359, 1.50405, 0.469391, 2.59169<br>
+      CAUTION: Gross error found at entry 195.<br> Found: 1.23693 Expected 2.56158
+      Error: 1.07091<br> 0.632359, 1.51564, 0.387296, 2.56158<br> CAUTION: Gross
+      error found at entry 196.<br> Found: 1.19839 Expected 2.45293 Error: 1.04685<br>
+      0.632359, 1.52005, 0.0119021, 2.45293<br> CAUTION: Gross error found at entry
+      197.<br> Found: 1.39415 Expected 3.05228 Error: 1.18935<br> 0.632359, 1.52189,
+      0.726955, 3.05228<br> CAUTION: Gross error found at entry 198.<br> Found:
+      1.25489 Expected 2.6569 Error: 1.11723<br> 0.632359, 1.55961, 0.337123, 2.6569<br>
+      CAUTION: Gross error found at entry 199.<br> Found: 1.27021 Expected 2.70857
+      Error: 1.13237<br> 0.632359, 1.56524, 0.38857, 2.70857<br> CAUTION: Gross
+      error found at entry 209.<br> Found: 0.83304 Expected 1.35947 Error: 0.631944<br>
+      0.814724, 0.993308, 0.119547, 1.35947<br> CAUTION: Gross error found at entry
+      210.<br> Found: 1.07764 Expected 2.50291 Error: 1.32258<br> *** FURTHER
+      CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h92"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_2"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ellint_3_with_2">Error
+      Output For ellint_3 with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Elliptic Integral PI: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Mathworld_Data"></a>CAUTION:
+      Gross error found at entry 0.<br> Found: -0.809353 Expected -1.55741 Error:
+      0.924263<br> 1, -1, 0, -1.55741<br> CAUTION: Gross error found at entry
+      11.<br> Found: 1.07555 Expected 13.2822 Error: 11.3492<br> 0.999023, 1.5,
+      0, 13.2822<br> CAUTION: Gross error found at entry 13.<br> Found: -5.86896e+09
+      Expected 1.53659e+10 Error: 1.18973e+4932<br> 0.5, 1e+10, 0.5, 1.53659e+10<br>
+      Argument too small in __ellint_rj<br> -100000, 10, 0.75, 0.0347926<br>
+      Argument too small in __ellint_rj<br> -1e+10, 10, 0.875, 0.000109956<br>
+      Argument too small in __ellint_rj<br> -1e+10, 1e+20, 0.875, 1.00001e+15<br>
+      Argument too small in __ellint_rj<br> -1e+10, 1.57031, 0.875, 1.57081e-05<br>
+      CAUTION: Gross error found at entry 18.<br> Found: -6.25413e+09 Expected
+      6.43274e+21 Error: 1.18973e+4932<br> 0.999023, 1e+20, 0.875, 6.43274e+21<br>
+      CAUTION: Gross error found at entry 19.<br> Found: 0.102424 Expected 0.196321
+      Error: 0.916748<br> 50, 0.125, 0.25, 0.196321<br> CAUTION: Gross error
+      found at entry 20.<br> Found: 0.798807 Expected 1.773 Error: 1.21956<br>
+      1.125, 1, 0.25, 1.773<br> CAUTION: Gross error found at entry 21.<br> Found:
+      7.07138 Expected 0.662468 Error: 9.6743<br> 1.125, 10, 0.25, 0.662468<br>
+      CAUTION: Gross error found at entry 22.<br> Found: 2.04288 Expected -0.142697
+      Error: 1.18973e+4932<br> 1.125, 3, 0.25, -0.142697<br> CAUTION: Gross error
+      found at entry 23.<br> Found: 1.07762 Expected 22.2699 Error: 19.6659<br>
+      1.00391, 1.5, 0.125, 22.2699<br> CAUTION: Gross error found at entry 24.<br>
+      Found: 15.1275 Expected -0.535406 Error: 1.18973e+4932<br> 1.00391, 21.5,
+      0.125, -0.535406<br> CAUTION: Gross error found at entry 41.<br> Found:
+      1.57454 Expected 3.0338 Error: 0.926787<br> 0.5, 2, 0, 3.0338<br> CAUTION:
+      Gross error found at entry 42.<br> Found: 3.0338 Expected 1.57454 Error:
+      0.926787<br> -0.5, 2, 0, 1.57454<br> CAUTION: Gross error found at entry
+      43.<br> Found: -1.57454 Expected -3.0338 Error: 0.926787<br> 0.5, -2, 0,
+      -3.0338<br> CAUTION: Gross error found at entry 44.<br> Found: -3.0338
+      Expected -1.57454 Error: 0.926787<br> -0.5, -2, 0, -1.57454<br> CAUTION:
+      Found non-finite result, when a finite value was expected at entry 51<br>
+      Found: inf Expected -2.87535 Error: 1.18973e+4932<br> 1, 2, 0.5, -2.87535<br>
+      CAUTION: Gross error found at entry 51.<br> Found: inf Expected -2.87535
+      Error: 1.18973e+4932<br> 1, 2, 0.5, -2.87535<br> CAUTION: Found non-finite
+      result, when a finite value was expected at entry 52<br> Found: -inf Expected
+      2.87535 Error: 1.18973e+4932<br> 1, -2, 0.5, 2.87535<br> CAUTION: Gross
+      error found at entry 52.<br> Found: -inf Expected 2.87535 Error: 1.18973e+4932<br>
+      1, -2, 0.5, 2.87535<br> CAUTION: Found non-finite result, when a finite value
+      was expected at entry 53<br> Found: inf Expected -2.18504 Error: 1.18973e+4932<br>
+      1, 2, 6.22302e-61, -2.18504<br> CAUTION: Gross error found at entry 53.<br>
+      Found: inf Expected -2.18504 Error: 1.18973e+4932<br> 1, 2, 6.22302e-61,
+      -2.18504<br> CAUTION: Found non-finite result, when a finite value was expected
+      at entry 54<br> Found: -inf Expected 2.18504 Error: 1.18973e+4932<br> 1,
+      -2, 6.22302e-61, 2.18504<br> CAUTION: Gross error found at entry 54.<br>
+      Found: -inf Expected 2.18504 Error: 1.18973e+4932<br> 1, -2, 6.22302e-61,
+      2.18504<br> CAUTION: Gross error found at entry 57.<br> Found: 0.703907
+      Expected 0.000975941 Error: 720.259<br> 20, 3.14257, 0.5, 0.000975941<br>
+      CAUTION: Gross error found at entry 58.<br> Found: -0.703907 Expected -0.000975941
+      Error: 720.259<br> 20, -3.14257, 0.5, -0.000975941<br> CAUTION: Gross error
+      found at entry 59.<br> Found: 1.24445 Expected -27.1647 Error: 1.18973e+4932<br>
+      1.01562, 1.6958, 0.5, -27.1647<br> CAUTION: Gross error found at entry 60.<br>
+      Found: -1.24445 Expected 27.1647 Error: 1.18973e+4932<br> 1.01562, -1.6958,
+      0.5, 27.1647<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h93"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_expint_ei_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_expint_ei_with_">Error
+      Output For expint (Ei) with compiler GNU C++ version 7.1.0 and library &lt;cmath&gt;
+      and test data Exponential Integral Ei</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_long_double_expint_Ei___cmath__Exponential_Integral_Ei"></a>Continued
+      fraction failed in __expint_En_cont_frac.<br> -1.30539, -0.134326<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h94"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_ibeta_with_comp"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_ibeta_with_comp">Error
+      Output For ibeta with compiler GNU C++ version 7.1.0 and library GSL 2.1 and
+      test data Incomplete Beta Function: Large and Diverse Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_ibeta_GSL_2_1_Incomplete_Beta_Function_Large_and_Diverse_Values"></a>underflow<br>
+      1.04761e-05, 39078.2, 0.913384, 95444.4, 0, 1, 0<br> underflow<br> 1.2158e-05,
+      24110.5, 0.135563, 82239.7, 0, 1, 0<br> underflow<br> 1.30342e-05, 26168.3,
+      0.127074, 76710.7, 0, 1, 0<br> underflow<br> 1.51962e-05, 16177.5, 0.814742,
+      65795.4, 0, 1, 0<br> underflow<br> 1.64873e-05, 470997, 0.127074, 60639.1,
+      0, 1, 0<br> underflow<br> 1.66259e-05, 147819, 0.632396, 60134.5, 0, 1,
+      0<br> underflow<br> 1.78638e-05, 439.387, 0.835025, 55972.4, 0, 1, 0<br>
+      underflow<br> 2.00434e-05, 482.007, 0.905801, 49885.1, 0, 1, 0<br> underflow<br>
+      2.05189e-05, 236088, 0.835025, 48722.7, 0, 1, 0<br> underflow<br> 2.14336e-05,
+      3719.28, 0.814742, 46647, 0, 1, 0<br> underflow<br> 2.24486e-05, 445071,
+      0.221112, 44532.6, 0, 1, 0<br> underflow<br> 2.34849e-05, 25542.8, 0.968871,
+      42569.8, 0, 1, 0<br> underflow<br> 2.39993e-05, 462.946, 0.814742, 41661.1,
+      0, 1, 0<br> underflow<br> 2.52178e-05, 1832.27, 0.913384, 39646.4, 0, 1,
+      0<br> underflow<br> 2.87756e-05, 25491.8, 0.905801, 34740.9, 0, 1, 0<br>
+      underflow<br> 2.89316e-05, 494.984, 0.968871, 34557.6, 0, 1, 0<br> underflow<br>
+      3.11413e-05, 348144, 0.308236, 32098.3, 0, 1, 0<br> underflow<br> 3.12319e-05,
+      33713, 0.221112, 32007.5, 0, 1, 0<br> underflow<br> 3.19889e-05, 3931.19,
+      0.308236, 31251.9, 0, 1, 0<br> underflow<br> 3.27129e-05, 3109.49, 0.968871,
+      30560.4, 0, 1, 0<br> underflow<br> 3.27529e-05, 25796.3, 0.835025, 30520.9,
+      0, 1, 0<br> underflow<br> 3.34106e-05, 3378.01, 0.221112, 29922, 0, 1,
+      0<br> underflow<br> 3.40793e-05, 288783, 0.814742, 29330.2, 0, 1, 0<br>
+      underflow<br> 3.46418e-05, 411.559, 0.913384, 28860.3, 0, 1, 0<br> underflow<br>
+      3.61632e-05, 311937, 0.905801, 27639.2, 0, 1, 0<br> underflow<br> 3.75686e-05,
+      386440, 0.913384, 26604.5, 0, 1, 0<br> underflow<br> 3.99261e-05, 495352,
+      0.968871, 25032.6, 0, 1, 0<br> underflow<br> 4.01492e-05, 3246.23, 0.905801,
+      24898.5, 0, 1, 0<br> underflow<br> 4.0288e-05, 2569.28, 0.835025, 24812.9,
+      0, 1, 0<br> underflow<br> 4.11667e-05, 24253.8, 0.308236, 24280.8, 0, 1,
+      0<br> underflow<br> 4.17714e-05, 274447, 0.135563, 23926.7, 0, 1, 0<br>
+      underflow<br> 4.66877e-05, 3780.93, 0.632396, 21410.1, 0, 1, 0<br> underflow<br>
+      4.73604e-05, 48598.7, 0.632396, 21103.3, 0, 1, 0<br> underflow<br> 0.00013245,
+      251.768, 0.968871, 7543.9, 0, 1, 0<br> underflow<br> 0.000168283, 195801,
+      0.905801, 5929.61, 0, 1, 0<br> underflow<br> 0.000177906, 276489, 0.814742,
+      5607.86, 0, 1, 0<br> underflow<br> 0.000183097, 316055, 0.127074, 5448.36,
+      0, 1, 0<br> underflow<br> 0.000190369, 159132, 0.835025, 5240.42, 0, 1,
+      0<br> underflow<br> 0.000191066, 419861, 0.913384, 5220.29, 0, 1, 0<br>
+      underflow<br> 0.000192195, 177798, 0.308236, 5190.39, 0, 1, 0<br> underflow<br>
+      0.000220499, 107380, 0.135563, 4523.03, 0, 1, 0<br> underflow<br> 0.00022254,
+      1432.25, 0.814742, 4485.74, 0, 1, 0<br> underflow<br> 0.000240291, 49604.4,
+      0.632396, 4150.25, 0, 1, 0<br> underflow<br> 0.000251444, 15605.8, 0.135563,
+      3966.81, 0, 1, 0<br> underflow<br> 0.000274279, 289206, 0.968871, 3632.79,
+      0, 1, 0<br> underflow<br> 0.000274343, 2954.47, 0.308236, 3636.51, 0, 1,
+      0<br> underflow<br> 0.000278714, 4023.16, 0.632396, 3579.05, 0, 1, 0<br>
+      underflow<br> 0.000288369, 460073, 0.221112, 3454.19, 0, 1, 0<br> underflow<br>
+      0.000294717, 4642.26, 0.221112, 3384.08, 0, 1, 0<br> underflow<br> 0.000303403,
+      2574.36, 0.835025, 3287.52, 0, 1, 0<br> underflow<br> 0.000304309, 4480.75,
+      0.905801, 3277.17, 0, 1, 0<br> underflow<br> 0.00031313, 47957, 0.308236,
+      3182.22, 0, 1, 0<br> underflow<br> 0.000320063, 25544.6, 0.905801, 3113.68,
+      0, 1, 0<br> underflow<br> 0.000334818, 29065.5, 0.968871, 2975.86, 0, 1,
+      0<br> underflow<br> 0.00034899, 41187.6, 0.913384, 2854.23, 0, 1, 0<br>
+      underflow<br> 0.000350247, 426.308, 0.905801, 2848.5, 0, 1, 0<br> underflow<br>
+      0.000357727, 31752.2, 0.127074, 2784.5, 0, 1, 0<br> underflow<br> 0.000412091,
+      367.714, 0.913384, 2420.17, 0, 1, 0<br> underflow<br> 0.000417933, 4668.47,
+      0.968871, 2383.72, 0, 1, 0<br> underflow<br> 0.000424632, 17994.9, 0.221112,
+      2344.63, 0, 1, 0<br> underflow<br> 0.000427051, 2443.44, 0.913384, 2333.28,
+      0, 1, 0<br> underflow<br> 0.000437724, 454399, 0.632396, 2270.98, 0, 1,
+      0<br> underflow<br> 0.000450377, 10660.8, 0.835025, 2210.53, 0, 1, 0<br>
+      underflow<br> 0.000475601, 19603, 0.814742, 2092.17, 0, 1, 0<br> underflow<br>
+      0.00116972, 4487.22, 0.221112, 845.964, 0, 1, 0<br> underflow<br> 0.00124188,
+      211066, 0.632396, 792.493, 0, 1, 0<br> underflow<br> 0.00128578, 4738.41,
+      0.308236, 768.75, 0, 1, 0<br> underflow<br> 0.00133388, 46277.8, 0.913384,
+      738.46, 0, 1, 0<br> underflow<br> 0.00138692, 2158.76, 0.814742, 712.816,
+      0, 1, 0<br> underflow<br> 0.00153268, 13060.2, 0.968871, 642.474, 0, 1,
+      0<br> underflow<br> 0.00159946, 1780.43, 0.968871, 617.202, 0, 1, 0<br>
+      *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h95"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with_">Error
+      Output For jacobi_dn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Modulus near 1</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1"></a>|m|
+      &gt; 1.0<br> -4.0246, 1, -0.999361, 0.0357365, 0.0357231<br> |m| &gt; 1.0<br>
+      -4.0246, 1, -0.999361, 0.0357497, 0.0357097<br> |m| &gt; 1.0<br> -4.0246,
+      1, -0.99936, 0.0357762, 0.0356829<br> |m| &gt; 1.0<br> -4.0246, 1, -0.999359,
+      0.0357895, 0.0356695<br> |m| &gt; 1.0<br> -4.0246, 1.00001, -0.999354,
+      0.0359354, 0.0355222<br> |m| &gt; 1.0<br> -4.0246, 1.00003, -0.999347,
+      0.0361343, 0.0353212<br> |m| &gt; 1.0<br> -4.0246, 1.00004, -0.999343,
+      0.036247, 0.0352073<br> |m| &gt; 1.0<br> -4.0246, 1.0001, -0.999311, 0.0371157,
+      0.0343296<br> |m| &gt; 1.0<br> -4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944<br> |m| &gt;
+      1.0<br> -4.0246, 1.00604, -0.992752, 0.120179, -0.049966<br> |m| &gt; 1.0<br>
+      -4.0246, 1.01557, -0.967356, 0.25342, -0.186698<br> |m| &gt; 1.0<br> -4.0246,
+      1.03059, -0.890373, 0.455232, -0.397492<br> |m| &gt; 1.0<br> -4.0246, 1.06239,
+      -0.607191, 0.794556, -0.76412<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849,
+      0.0479567, 0.0479467<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849, 0.0479665,
+      0.0479367<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.0479862, 0.0479167<br>
+      |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.047996, 0.0479067<br> |m| &gt;
+      1.0<br> -3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966<br> |m| &gt;
+      1.0<br> -3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465<br> |m| &gt;
+      1.0<br> -3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615<br> |m| &gt;
+      1.0<br> -3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00604, -0.993866, 0.110593, -0.016048<br> |m| &gt; 1.0<br>
+      -3.73013, 1.01557, -0.977708, 0.209971, -0.118704<br> |m| &gt; 1.0<br>
+      -3.73013, 1.03059, -0.931162, 0.364606, -0.281224<br> |m| &gt; 1.0<br>
+      -3.73013, 1.06239, -0.753495, 0.657453, -0.599326<br> |m| &gt; 1.0<br>
+      -3.64523, 1, -0.998637, 0.0521997, 0.0521906<br> |m| &gt; 1.0<br> -3.64523,
+      1, -0.998636, 0.0522087, 0.0521814<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635,
+      0.0522268, 0.052163<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635, 0.0522358,
+      0.0521538<br> |m| &gt; 1.0<br> -3.64523, 1.00001, -0.99863, 0.052335, 0.0520526<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00004, -0.998618, 0.052547, 0.0518363<br>
+      |m| &gt; 1.0<br> -3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00604, -0.993972, 0.109636, -0.00664888<br>
+      |m| &gt; 1.0<br> -3.64523, 1.01557, -0.979623, 0.200844, -0.101111<br>
+      |m| &gt; 1.0<br> -3.64523, 1.03059, -0.939163, 0.343472, -0.251382<br>
+      |m| &gt; 1.0<br> -3.64523, 1.06239, -0.784719, 0.619852, -0.552253<br>
+      |m| &gt; 1.0<br> -3.11618, 1, -0.996078, 0.0884811, 0.0884757<br> |m| &gt;
+      1.0<br> -3.11618, 1, -0.996077, 0.0884863, 0.0884702<br> |m| &gt; 1.0<br>
+      -3.11618, 1, -0.996076, 0.0884967, 0.0884593<br> |m| &gt; 1.0<br> -3.11618,
+      1, -0.996076, 0.0885019, 0.0884538<br> |m| &gt; 1.0<br> -3.11618, 1.00001,
+      -0.996071, 0.0885593, 0.0883936<br> |m| &gt; 1.0<br> -3.11618, 1.00003,
+      -0.996064, 0.0886376, 0.0883114<br> |m| &gt; 1.0<br> -3.11618, 1.00004,
+      -0.99606, 0.0886819, 0.0882648<br> |m| &gt; 1.0<br> -3.11618, 1.0001, -0.99603,
+      0.0890236, 0.0879059<br> |m| &gt; 1.0<br> -3.11618, 1.00016, -0.996, 0.0893523,
+      0.0875607<br> |m| &gt; 1.0<br> -3.11618, 1.00027, -0.995947, 0.0899445,
+      0.0869386<br> |m| &gt; 1.0<br> -3.11618, 1.00076, -0.995702, 0.092612,
+      0.0841353<br> |m| &gt; 1.0<br> -3.11618, 1.00125, -0.995447, 0.0953126,
+      0.0812953<br> |m| &gt; 1.0<br> -3.11618, 1.00232, -0.994867, 0.101193,
+      0.0751049<br> |m| &gt; 1.0<br> -3.11618, 1.00604, -0.992571, 0.121667,
+      0.0534858<br> |m| &gt; 1.0<br> -3.11618, 1.01557, -0.984666, 0.174451,
+      -0.00273723<br> |m| &gt; 1.0<br> -3.11618, 1.03059, -0.966077, 0.258253,
+      -0.0934336<br> |m| &gt; 1.0<br> -3.11618, 1.06239, -0.901067, 0.433681,
+      -0.289151<br> |m| &gt; 1.0<br> -2.78966, 1, -0.992478, 0.122424, 0.12242<br>
+      |m| &gt; 1.0<br> -2.78966, 1, -0.992477, 0.122428, 0.122416<br> *** FURTHER
+      CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h96"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with_">Error
+      Output For jacobi_cn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Modulus near 1</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1"></a>|m|
+      &gt; 1.0<br> -4.0246, 1, -0.999361, 0.0357365, 0.0357231<br> |m| &gt; 1.0<br>
+      -4.0246, 1, -0.999361, 0.0357497, 0.0357097<br> |m| &gt; 1.0<br> -4.0246,
+      1, -0.99936, 0.0357762, 0.0356829<br> |m| &gt; 1.0<br> -4.0246, 1, -0.999359,
+      0.0357895, 0.0356695<br> |m| &gt; 1.0<br> -4.0246, 1.00001, -0.999354,
+      0.0359354, 0.0355222<br> |m| &gt; 1.0<br> -4.0246, 1.00003, -0.999347,
+      0.0361343, 0.0353212<br> |m| &gt; 1.0<br> -4.0246, 1.00004, -0.999343,
+      0.036247, 0.0352073<br> |m| &gt; 1.0<br> -4.0246, 1.0001, -0.999311, 0.0371157,
+      0.0343296<br> |m| &gt; 1.0<br> -4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944<br> |m| &gt;
+      1.0<br> -4.0246, 1.00604, -0.992752, 0.120179, -0.049966<br> |m| &gt; 1.0<br>
+      -4.0246, 1.01557, -0.967356, 0.25342, -0.186698<br> |m| &gt; 1.0<br> -4.0246,
+      1.03059, -0.890373, 0.455232, -0.397492<br> |m| &gt; 1.0<br> -4.0246, 1.06239,
+      -0.607191, 0.794556, -0.76412<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849,
+      0.0479567, 0.0479467<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849, 0.0479665,
+      0.0479367<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.0479862, 0.0479167<br>
+      |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.047996, 0.0479067<br> |m| &gt;
+      1.0<br> -3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966<br> |m| &gt;
+      1.0<br> -3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465<br> |m| &gt;
+      1.0<br> -3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615<br> |m| &gt;
+      1.0<br> -3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00604, -0.993866, 0.110593, -0.016048<br> |m| &gt; 1.0<br>
+      -3.73013, 1.01557, -0.977708, 0.209971, -0.118704<br> |m| &gt; 1.0<br>
+      -3.73013, 1.03059, -0.931162, 0.364606, -0.281224<br> |m| &gt; 1.0<br>
+      -3.73013, 1.06239, -0.753495, 0.657453, -0.599326<br> |m| &gt; 1.0<br>
+      -3.64523, 1, -0.998637, 0.0521997, 0.0521906<br> |m| &gt; 1.0<br> -3.64523,
+      1, -0.998636, 0.0522087, 0.0521814<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635,
+      0.0522268, 0.052163<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635, 0.0522358,
+      0.0521538<br> |m| &gt; 1.0<br> -3.64523, 1.00001, -0.99863, 0.052335, 0.0520526<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00004, -0.998618, 0.052547, 0.0518363<br>
+      |m| &gt; 1.0<br> -3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00604, -0.993972, 0.109636, -0.00664888<br>
+      |m| &gt; 1.0<br> -3.64523, 1.01557, -0.979623, 0.200844, -0.101111<br>
+      |m| &gt; 1.0<br> -3.64523, 1.03059, -0.939163, 0.343472, -0.251382<br>
+      |m| &gt; 1.0<br> -3.64523, 1.06239, -0.784719, 0.619852, -0.552253<br>
+      |m| &gt; 1.0<br> -3.11618, 1, -0.996078, 0.0884811, 0.0884757<br> |m| &gt;
+      1.0<br> -3.11618, 1, -0.996077, 0.0884863, 0.0884702<br> |m| &gt; 1.0<br>
+      -3.11618, 1, -0.996076, 0.0884967, 0.0884593<br> |m| &gt; 1.0<br> -3.11618,
+      1, -0.996076, 0.0885019, 0.0884538<br> |m| &gt; 1.0<br> -3.11618, 1.00001,
+      -0.996071, 0.0885593, 0.0883936<br> |m| &gt; 1.0<br> -3.11618, 1.00003,
+      -0.996064, 0.0886376, 0.0883114<br> |m| &gt; 1.0<br> -3.11618, 1.00004,
+      -0.99606, 0.0886819, 0.0882648<br> |m| &gt; 1.0<br> -3.11618, 1.0001, -0.99603,
+      0.0890236, 0.0879059<br> |m| &gt; 1.0<br> -3.11618, 1.00016, -0.996, 0.0893523,
+      0.0875607<br> |m| &gt; 1.0<br> -3.11618, 1.00027, -0.995947, 0.0899445,
+      0.0869386<br> |m| &gt; 1.0<br> -3.11618, 1.00076, -0.995702, 0.092612,
+      0.0841353<br> |m| &gt; 1.0<br> -3.11618, 1.00125, -0.995447, 0.0953126,
+      0.0812953<br> |m| &gt; 1.0<br> -3.11618, 1.00232, -0.994867, 0.101193,
+      0.0751049<br> |m| &gt; 1.0<br> -3.11618, 1.00604, -0.992571, 0.121667,
+      0.0534858<br> |m| &gt; 1.0<br> -3.11618, 1.01557, -0.984666, 0.174451,
+      -0.00273723<br> |m| &gt; 1.0<br> -3.11618, 1.03059, -0.966077, 0.258253,
+      -0.0934336<br> |m| &gt; 1.0<br> -3.11618, 1.06239, -0.901067, 0.433681,
+      -0.289151<br> |m| &gt; 1.0<br> -2.78966, 1, -0.992478, 0.122424, 0.12242<br>
+      |m| &gt; 1.0<br> -2.78966, 1, -0.992477, 0.122428, 0.122416<br> *** FURTHER
+      CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h97"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with_"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with_">Error
+      Output For jacobi_sn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Modulus near 1</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1"></a>|m|
+      &gt; 1.0<br> -4.0246, 1, -0.999361, 0.0357365, 0.0357231<br> |m| &gt; 1.0<br>
+      -4.0246, 1, -0.999361, 0.0357497, 0.0357097<br> |m| &gt; 1.0<br> -4.0246,
+      1, -0.99936, 0.0357762, 0.0356829<br> |m| &gt; 1.0<br> -4.0246, 1, -0.999359,
+      0.0357895, 0.0356695<br> |m| &gt; 1.0<br> -4.0246, 1.00001, -0.999354,
+      0.0359354, 0.0355222<br> |m| &gt; 1.0<br> -4.0246, 1.00003, -0.999347,
+      0.0361343, 0.0353212<br> |m| &gt; 1.0<br> -4.0246, 1.00004, -0.999343,
+      0.036247, 0.0352073<br> |m| &gt; 1.0<br> -4.0246, 1.0001, -0.999311, 0.0371157,
+      0.0343296<br> |m| &gt; 1.0<br> -4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634<br>
+      |m| &gt; 1.0<br> -4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532<br> |m|
+      &gt; 1.0<br> -4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944<br> |m| &gt;
+      1.0<br> -4.0246, 1.00604, -0.992752, 0.120179, -0.049966<br> |m| &gt; 1.0<br>
+      -4.0246, 1.01557, -0.967356, 0.25342, -0.186698<br> |m| &gt; 1.0<br> -4.0246,
+      1.03059, -0.890373, 0.455232, -0.397492<br> |m| &gt; 1.0<br> -4.0246, 1.06239,
+      -0.607191, 0.794556, -0.76412<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849,
+      0.0479567, 0.0479467<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998849, 0.0479665,
+      0.0479367<br> |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.0479862, 0.0479167<br>
+      |m| &gt; 1.0<br> -3.73013, 1, -0.998848, 0.047996, 0.0479067<br> |m| &gt;
+      1.0<br> -3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966<br> |m| &gt;
+      1.0<br> -3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465<br> |m| &gt;
+      1.0<br> -3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615<br> |m| &gt;
+      1.0<br> -3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071<br> |m| &gt; 1.0<br>
+      -3.73013, 1.00604, -0.993866, 0.110593, -0.016048<br> |m| &gt; 1.0<br>
+      -3.73013, 1.01557, -0.977708, 0.209971, -0.118704<br> |m| &gt; 1.0<br>
+      -3.73013, 1.03059, -0.931162, 0.364606, -0.281224<br> |m| &gt; 1.0<br>
+      -3.73013, 1.06239, -0.753495, 0.657453, -0.599326<br> |m| &gt; 1.0<br>
+      -3.64523, 1, -0.998637, 0.0521997, 0.0521906<br> |m| &gt; 1.0<br> -3.64523,
+      1, -0.998636, 0.0522087, 0.0521814<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635,
+      0.0522268, 0.052163<br> |m| &gt; 1.0<br> -3.64523, 1, -0.998635, 0.0522358,
+      0.0521538<br> |m| &gt; 1.0<br> -3.64523, 1.00001, -0.99863, 0.052335, 0.0520526<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00004, -0.998618, 0.052547, 0.0518363<br>
+      |m| &gt; 1.0<br> -3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191<br>
+      |m| &gt; 1.0<br> -3.64523, 1.00604, -0.993972, 0.109636, -0.00664888<br>
+      |m| &gt; 1.0<br> -3.64523, 1.01557, -0.979623, 0.200844, -0.101111<br>
+      |m| &gt; 1.0<br> -3.64523, 1.03059, -0.939163, 0.343472, -0.251382<br>
+      |m| &gt; 1.0<br> -3.64523, 1.06239, -0.784719, 0.619852, -0.552253<br>
+      |m| &gt; 1.0<br> -3.11618, 1, -0.996078, 0.0884811, 0.0884757<br> |m| &gt;
+      1.0<br> -3.11618, 1, -0.996077, 0.0884863, 0.0884702<br> |m| &gt; 1.0<br>
+      -3.11618, 1, -0.996076, 0.0884967, 0.0884593<br> |m| &gt; 1.0<br> -3.11618,
+      1, -0.996076, 0.0885019, 0.0884538<br> |m| &gt; 1.0<br> -3.11618, 1.00001,
+      -0.996071, 0.0885593, 0.0883936<br> |m| &gt; 1.0<br> -3.11618, 1.00003,
+      -0.996064, 0.0886376, 0.0883114<br> |m| &gt; 1.0<br> -3.11618, 1.00004,
+      -0.99606, 0.0886819, 0.0882648<br> |m| &gt; 1.0<br> -3.11618, 1.0001, -0.99603,
+      0.0890236, 0.0879059<br> |m| &gt; 1.0<br> -3.11618, 1.00016, -0.996, 0.0893523,
+      0.0875607<br> |m| &gt; 1.0<br> -3.11618, 1.00027, -0.995947, 0.0899445,
+      0.0869386<br> |m| &gt; 1.0<br> -3.11618, 1.00076, -0.995702, 0.092612,
+      0.0841353<br> |m| &gt; 1.0<br> -3.11618, 1.00125, -0.995447, 0.0953126,
+      0.0812953<br> |m| &gt; 1.0<br> -3.11618, 1.00232, -0.994867, 0.101193,
+      0.0751049<br> |m| &gt; 1.0<br> -3.11618, 1.00604, -0.992571, 0.121667,
+      0.0534858<br> |m| &gt; 1.0<br> -3.11618, 1.01557, -0.984666, 0.174451,
+      -0.00273723<br> |m| &gt; 1.0<br> -3.11618, 1.03059, -0.966077, 0.258253,
+      -0.0934336<br> |m| &gt; 1.0<br> -3.11618, 1.06239, -0.901067, 0.433681,
+      -0.289151<br> |m| &gt; 1.0<br> -2.78966, 1, -0.992478, 0.122424, 0.12242<br>
+      |m| &gt; 1.0<br> -2.78966, 1, -0.992477, 0.122428, 0.122416<br> *** FURTHER
+      CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h98"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with0">Error
+      Output For jacobi_dn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Random Small Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values"></a>|m|
+      &gt; 1.0<br> 1.65048e-12, 1.65574, 1.65048e-12, 1, 1<br> |m| &gt; 1.0<br>
+      2.06542e-12, 1.65574, 2.06542e-12, 1, 1<br> |m| &gt; 1.0<br> 6.93323e-12,
+      1.65574, 6.93323e-12, 1, 1<br> |m| &gt; 1.0<br> 1.33514e-11, 1.65574, 1.33514e-11,
+      1, 1<br> |m| &gt; 1.0<br> 1.63998e-11, 1.65574, 1.63998e-11, 1, 1<br>
+      |m| &gt; 1.0<br> 5.73016e-11, 1.65574, 5.73016e-11, 1, 1<br> |m| &gt; 1.0<br>
+      1.11373e-10, 1.65574, 1.11373e-10, 1, 1<br> |m| &gt; 1.0<br> 1.42147e-10,
+      1.65574, 1.42147e-10, 1, 1<br> |m| &gt; 1.0<br> 3.80063e-10, 1.65574, 3.80063e-10,
+      1, 1<br> |m| &gt; 1.0<br> 6.09163e-10, 1.65574, 6.09163e-10, 1, 1<br>
+      |m| &gt; 1.0<br> 1.02216e-09, 1.65574, 1.02216e-09, 1, 1<br> |m| &gt; 1.0<br>
+      2.88192e-09, 1.65574, 2.88192e-09, 1, 1<br> |m| &gt; 1.0<br> 4.76278e-09,
+      1.65574, 4.76278e-09, 1, 1<br> |m| &gt; 1.0<br> 8.85413e-09, 1.65574, 8.85413e-09,
+      1, 1<br> |m| &gt; 1.0<br> 2.30503e-08, 1.65574, 2.30503e-08, 1, 1<br>
+      |m| &gt; 1.0<br> 5.93925e-08, 1.65574, 5.93925e-08, 1, 1<br> |m| &gt; 1.0<br>
+      1.16676e-07, 1.65574, 1.16676e-07, 1, 1<br> |m| &gt; 1.0<br> 2.37997e-07,
+      1.65574, 2.37997e-07, 1, 1<br> |m| &gt; 1.0<br> 4.68466e-07, 1.65574, 4.68466e-07,
+      1, 1<br> |m| &gt; 1.0<br> 9.3827e-07, 1.65574, 9.3827e-07, 1, 1<br> |m|
+      &gt; 1.0<br> 1.10399e-06, 1.65574, 1.10399e-06, 1, 1<br> |m| &gt; 1.0<br>
+      3.29178e-06, 1.65574, 3.29178e-06, 1, 1<br> |m| &gt; 1.0<br> 7.51721e-06,
+      1.65574, 7.51721e-06, 1, 1<br> |m| &gt; 1.0<br> 1.51147e-05, 1.65574, 1.51147e-05,
+      1, 1<br> |m| &gt; 1.0<br> 2.9864e-05, 1.65574, 2.9864e-05, 1, 1<br> |m|
+      &gt; 1.0<br> 3.38703e-05, 1.65574, 3.38703e-05, 1, 1<br> |m| &gt; 1.0<br>
+      9.06601e-05, 1.65574, 9.06601e-05, 1, 1<br> |m| &gt; 1.0<br> 0.000219495,
+      1.65574, 0.000219495, 1, 1<br> |m| &gt; 1.0<br> 0.000439522, 1.65574, 0.000439521,
+      1, 1<br> |m| &gt; 1.0<br> 0.000633315, 1.65574, 0.000633315, 1, 0.999999<br>
+      |m| &gt; 1.0<br> 0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998<br>
+      |m| &gt; 1.0<br> 0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995<br>
+      |m| &gt; 1.0<br> 0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958<br>
+      |m| &gt; 1.0<br> 0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896<br>
+      |m| &gt; 1.0<br> 0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772<br>
+      |m| &gt; 1.0<br> 0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406<br>
+      |m| &gt; 1.0<br> 0.112013, 1.65574, 0.111143, 0.993804, 0.982922<br> |m|
+      &gt; 1.0<br> 0.234804, 1.65574, 0.227, 0.973895, 0.926679<br> |m| &gt;
+      1.0<br> 0.489873, 1.65574, 0.425971, 0.904737, 0.708912<br> |m| &gt; 1.0<br>
+      0.751831, 1.65574, 0.553446, 0.832885, 0.400346<br> |m| &gt; 1.0<br> 1.65574,
+      1.65574, 0.408154, 0.912913, -0.737088<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h99"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with0">Error
+      Output For jacobi_cn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Random Small Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values"></a>|m|
+      &gt; 1.0<br> 1.65048e-12, 1.65574, 1.65048e-12, 1, 1<br> |m| &gt; 1.0<br>
+      2.06542e-12, 1.65574, 2.06542e-12, 1, 1<br> |m| &gt; 1.0<br> 6.93323e-12,
+      1.65574, 6.93323e-12, 1, 1<br> |m| &gt; 1.0<br> 1.33514e-11, 1.65574, 1.33514e-11,
+      1, 1<br> |m| &gt; 1.0<br> 1.63998e-11, 1.65574, 1.63998e-11, 1, 1<br>
+      |m| &gt; 1.0<br> 5.73016e-11, 1.65574, 5.73016e-11, 1, 1<br> |m| &gt; 1.0<br>
+      1.11373e-10, 1.65574, 1.11373e-10, 1, 1<br> |m| &gt; 1.0<br> 1.42147e-10,
+      1.65574, 1.42147e-10, 1, 1<br> |m| &gt; 1.0<br> 3.80063e-10, 1.65574, 3.80063e-10,
+      1, 1<br> |m| &gt; 1.0<br> 6.09163e-10, 1.65574, 6.09163e-10, 1, 1<br>
+      |m| &gt; 1.0<br> 1.02216e-09, 1.65574, 1.02216e-09, 1, 1<br> |m| &gt; 1.0<br>
+      2.88192e-09, 1.65574, 2.88192e-09, 1, 1<br> |m| &gt; 1.0<br> 4.76278e-09,
+      1.65574, 4.76278e-09, 1, 1<br> |m| &gt; 1.0<br> 8.85413e-09, 1.65574, 8.85413e-09,
+      1, 1<br> |m| &gt; 1.0<br> 2.30503e-08, 1.65574, 2.30503e-08, 1, 1<br>
+      |m| &gt; 1.0<br> 5.93925e-08, 1.65574, 5.93925e-08, 1, 1<br> |m| &gt; 1.0<br>
+      1.16676e-07, 1.65574, 1.16676e-07, 1, 1<br> |m| &gt; 1.0<br> 2.37997e-07,
+      1.65574, 2.37997e-07, 1, 1<br> |m| &gt; 1.0<br> 4.68466e-07, 1.65574, 4.68466e-07,
+      1, 1<br> |m| &gt; 1.0<br> 9.3827e-07, 1.65574, 9.3827e-07, 1, 1<br> |m|
+      &gt; 1.0<br> 1.10399e-06, 1.65574, 1.10399e-06, 1, 1<br> |m| &gt; 1.0<br>
+      3.29178e-06, 1.65574, 3.29178e-06, 1, 1<br> |m| &gt; 1.0<br> 7.51721e-06,
+      1.65574, 7.51721e-06, 1, 1<br> |m| &gt; 1.0<br> 1.51147e-05, 1.65574, 1.51147e-05,
+      1, 1<br> |m| &gt; 1.0<br> 2.9864e-05, 1.65574, 2.9864e-05, 1, 1<br> |m|
+      &gt; 1.0<br> 3.38703e-05, 1.65574, 3.38703e-05, 1, 1<br> |m| &gt; 1.0<br>
+      9.06601e-05, 1.65574, 9.06601e-05, 1, 1<br> |m| &gt; 1.0<br> 0.000219495,
+      1.65574, 0.000219495, 1, 1<br> |m| &gt; 1.0<br> 0.000439522, 1.65574, 0.000439521,
+      1, 1<br> |m| &gt; 1.0<br> 0.000633315, 1.65574, 0.000633315, 1, 0.999999<br>
+      |m| &gt; 1.0<br> 0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998<br>
+      |m| &gt; 1.0<br> 0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995<br>
+      |m| &gt; 1.0<br> 0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958<br>
+      |m| &gt; 1.0<br> 0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896<br>
+      |m| &gt; 1.0<br> 0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772<br>
+      |m| &gt; 1.0<br> 0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406<br>
+      |m| &gt; 1.0<br> 0.112013, 1.65574, 0.111143, 0.993804, 0.982922<br> |m|
+      &gt; 1.0<br> 0.234804, 1.65574, 0.227, 0.973895, 0.926679<br> |m| &gt;
+      1.0<br> 0.489873, 1.65574, 0.425971, 0.904737, 0.708912<br> |m| &gt; 1.0<br>
+      0.751831, 1.65574, 0.553446, 0.832885, 0.400346<br> |m| &gt; 1.0<br> 1.65574,
+      1.65574, 0.408154, 0.912913, -0.737088<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h100"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with0"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with0">Error
+      Output For jacobi_sn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Random Small Values</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values"></a>|m|
+      &gt; 1.0<br> 1.65048e-12, 1.65574, 1.65048e-12, 1, 1<br> |m| &gt; 1.0<br>
+      2.06542e-12, 1.65574, 2.06542e-12, 1, 1<br> |m| &gt; 1.0<br> 6.93323e-12,
+      1.65574, 6.93323e-12, 1, 1<br> |m| &gt; 1.0<br> 1.33514e-11, 1.65574, 1.33514e-11,
+      1, 1<br> |m| &gt; 1.0<br> 1.63998e-11, 1.65574, 1.63998e-11, 1, 1<br>
+      |m| &gt; 1.0<br> 5.73016e-11, 1.65574, 5.73016e-11, 1, 1<br> |m| &gt; 1.0<br>
+      1.11373e-10, 1.65574, 1.11373e-10, 1, 1<br> |m| &gt; 1.0<br> 1.42147e-10,
+      1.65574, 1.42147e-10, 1, 1<br> |m| &gt; 1.0<br> 3.80063e-10, 1.65574, 3.80063e-10,
+      1, 1<br> |m| &gt; 1.0<br> 6.09163e-10, 1.65574, 6.09163e-10, 1, 1<br>
+      |m| &gt; 1.0<br> 1.02216e-09, 1.65574, 1.02216e-09, 1, 1<br> |m| &gt; 1.0<br>
+      2.88192e-09, 1.65574, 2.88192e-09, 1, 1<br> |m| &gt; 1.0<br> 4.76278e-09,
+      1.65574, 4.76278e-09, 1, 1<br> |m| &gt; 1.0<br> 8.85413e-09, 1.65574, 8.85413e-09,
+      1, 1<br> |m| &gt; 1.0<br> 2.30503e-08, 1.65574, 2.30503e-08, 1, 1<br>
+      |m| &gt; 1.0<br> 5.93925e-08, 1.65574, 5.93925e-08, 1, 1<br> |m| &gt; 1.0<br>
+      1.16676e-07, 1.65574, 1.16676e-07, 1, 1<br> |m| &gt; 1.0<br> 2.37997e-07,
+      1.65574, 2.37997e-07, 1, 1<br> |m| &gt; 1.0<br> 4.68466e-07, 1.65574, 4.68466e-07,
+      1, 1<br> |m| &gt; 1.0<br> 9.3827e-07, 1.65574, 9.3827e-07, 1, 1<br> |m|
+      &gt; 1.0<br> 1.10399e-06, 1.65574, 1.10399e-06, 1, 1<br> |m| &gt; 1.0<br>
+      3.29178e-06, 1.65574, 3.29178e-06, 1, 1<br> |m| &gt; 1.0<br> 7.51721e-06,
+      1.65574, 7.51721e-06, 1, 1<br> |m| &gt; 1.0<br> 1.51147e-05, 1.65574, 1.51147e-05,
+      1, 1<br> |m| &gt; 1.0<br> 2.9864e-05, 1.65574, 2.9864e-05, 1, 1<br> |m|
+      &gt; 1.0<br> 3.38703e-05, 1.65574, 3.38703e-05, 1, 1<br> |m| &gt; 1.0<br>
+      9.06601e-05, 1.65574, 9.06601e-05, 1, 1<br> |m| &gt; 1.0<br> 0.000219495,
+      1.65574, 0.000219495, 1, 1<br> |m| &gt; 1.0<br> 0.000439522, 1.65574, 0.000439521,
+      1, 1<br> |m| &gt; 1.0<br> 0.000633315, 1.65574, 0.000633315, 1, 0.999999<br>
+      |m| &gt; 1.0<br> 0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998<br>
+      |m| &gt; 1.0<br> 0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995<br>
+      |m| &gt; 1.0<br> 0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958<br>
+      |m| &gt; 1.0<br> 0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896<br>
+      |m| &gt; 1.0<br> 0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772<br>
+      |m| &gt; 1.0<br> 0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406<br>
+      |m| &gt; 1.0<br> 0.112013, 1.65574, 0.111143, 0.993804, 0.982922<br> |m|
+      &gt; 1.0<br> 0.234804, 1.65574, 0.227, 0.973895, 0.926679<br> |m| &gt;
+      1.0<br> 0.489873, 1.65574, 0.425971, 0.904737, 0.708912<br> |m| &gt; 1.0<br>
+      0.751831, 1.65574, 0.553446, 0.832885, 0.400346<br> |m| &gt; 1.0<br> 1.65574,
+      1.65574, 0.408154, 0.912913, -0.737088<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h101"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_dn_with1">Error
+      Output For jacobi_dn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data"></a>|m|
+      &gt; 1.0<br> 2.98023e-08, 1.5, 2.98023e-08, 1, 1<br> |m| &gt; 1.0<br>
+      -2.98023e-08, 1.5, -2.98023e-08, 1, 1<br> |m| &gt; 1.0<br> 0.25, 1.5, 0.24183,
+      0.970319, 0.931888<br> |m| &gt; 1.0<br> -0.25, 1.5, -0.24183, 0.970319,
+      0.931888<br> |m| &gt; 1.0<br> 1.25, 1.5, 0.665876, 0.746063, -0.0486921<br>
+      |m| &gt; 1.0<br> -1.25, 1.5, -0.665876, 0.746063, -0.0486921<br> |m| &gt;
+      1.0<br> 25, 1.5, 0.618665, 0.785655, 0.372585<br> |m| &gt; 1.0<br> -25,
+      1.5, -0.618665, 0.785655, 0.372585<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h102"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_cn_with1">Error
+      Output For jacobi_cn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data"></a>|m|
+      &gt; 1.0<br> 2.98023e-08, 1.5, 2.98023e-08, 1, 1<br> |m| &gt; 1.0<br>
+      -2.98023e-08, 1.5, -2.98023e-08, 1, 1<br> |m| &gt; 1.0<br> 0.25, 1.5, 0.24183,
+      0.970319, 0.931888<br> |m| &gt; 1.0<br> -0.25, 1.5, -0.24183, 0.970319,
+      0.931888<br> |m| &gt; 1.0<br> 1.25, 1.5, 0.665876, 0.746063, -0.0486921<br>
+      |m| &gt; 1.0<br> -1.25, 1.5, -0.665876, 0.746063, -0.0486921<br> |m| &gt;
+      1.0<br> 25, 1.5, 0.618665, 0.785655, 0.372585<br> |m| &gt; 1.0<br> -25,
+      1.5, -0.618665, 0.785655, 0.372585<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h103"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with1"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_jacobi_sn_with1">Error
+      Output For jacobi_sn with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Jacobi Elliptic: Mathworld Data</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data"></a>|m|
+      &gt; 1.0<br> 2.98023e-08, 1.5, 2.98023e-08, 1, 1<br> |m| &gt; 1.0<br>
+      -2.98023e-08, 1.5, -2.98023e-08, 1, 1<br> |m| &gt; 1.0<br> 0.25, 1.5, 0.24183,
+      0.970319, 0.931888<br> |m| &gt; 1.0<br> -0.25, 1.5, -0.24183, 0.970319,
+      0.931888<br> |m| &gt; 1.0<br> 1.25, 1.5, 0.665876, 0.746063, -0.0486921<br>
+      |m| &gt; 1.0<br> -1.25, 1.5, -0.665876, 0.746063, -0.0486921<br> |m| &gt;
+      1.0<br> 25, 1.5, 0.618665, 0.785655, 0.372585<br> |m| &gt; 1.0<br> -25,
+      1.5, -0.618665, 0.785655, 0.372585<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h104"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with3"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with3">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Mathematica Data - Large orders and other bug cases</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_Large_orders_and_other_bug_cases"></a>underflow<br>
+      168, 150, -6.52661e-66<br> underflow<br> 169, 202, 9.2734e-88<br> domain
+      error<br> 20, -9.5, -0.00103076<br> domain error<br> 21, -9.5, 4.28582e+26<br>
+      domain error<br> 22, -9.5, -0.00419144<br> domain error<br> 23, -9.5,
+      8.6745e+29<br> domain error<br> 24, -9.5, -0.0204825<br> domain error<br>
+      25, -9.5, 2.08188e+33<br> domain error<br> 26, -9.5, -0.118403<br> domain
+      error<br> 27, -9.5, 5.84592e+36<br> domain error<br> 28, -9.5, -0.798969<br>
+      domain error<br> 29, -9.5, 1.89875e+40<br> domain error<br> 30, -9.5,
+      -6.22245<br> underflow<br> 10, 1.32923e+36, -0<br> underflow<br> 15,
+      1.32923e+36, 0<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h105"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with4"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with4">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Mathematica Data - large negative arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_negative_arguments"></a>domain
+      error<br> 124, -1.5, 7.63705e+240<br> domain error<br> 124, -2.5, 7.63705e+240<br>
+      domain error<br> 124, -3.5, 7.63705e+240<br> domain error<br> 124, -4.5,
+      7.63705e+240<br> domain error<br> 124, -5.5, 7.63705e+240<br> domain
+      error<br> 124, -6.5, 7.63705e+240<br> domain error<br> 124, -7.5, 7.63705e+240<br>
+      domain error<br> 124, -8.5, 7.63705e+240<br> domain error<br> 124, -9.5,
+      7.63705e+240<br> domain error<br> 124, -10.5, 7.63705e+240<br> domain
+      error<br> 124, -11.5, 7.63705e+240<br> domain error<br> 124, -12.5, 7.63705e+240<br>
+      domain error<br> 124, -13.5, 7.63705e+240<br> domain error<br> 124, -14.5,
+      7.63705e+240<br> domain error<br> 124, -15.5, 7.63705e+240<br> domain
+      error<br> 124, -16.5, 7.63705e+240<br> domain error<br> 124, -17.5, 7.63705e+240<br>
+      domain error<br> 124, -18.5, 7.63705e+240<br> domain error<br> 124, -19.5,
+      7.63705e+240<br> domain error<br> 124, -20.5, 7.63705e+240<br> domain
+      error<br> 124, -1.5, -7.63705e+240<br> domain error<br> 124, -2.5, -7.63705e+240<br>
+      domain error<br> 124, -3.5, -7.63705e+240<br> domain error<br> 124, -4.5,
+      -7.63705e+240<br> domain error<br> 124, -5.5, -7.63705e+240<br> domain
+      error<br> 124, -6.5, -7.63705e+240<br> domain error<br> 124, -7.5, -7.63705e+240<br>
+      domain error<br> 124, -8.5, -7.63705e+240<br> domain error<br> 124, -9.5,
+      -7.63705e+240<br> domain error<br> 124, -10.5, -7.63705e+240<br> domain
+      error<br> 124, -11.5, -7.63705e+240<br> domain error<br> 124, -12.5,
+      -7.63705e+240<br> domain error<br> 124, -13.5, -7.63705e+240<br> domain
+      error<br> 124, -14.5, -7.63705e+240<br> domain error<br> 124, -15.5,
+      -7.63705e+240<br> domain error<br> 124, -16.5, -7.63705e+240<br> domain
+      error<br> 124, -17.5, -7.63705e+240<br> domain error<br> 124, -18.5,
+      -7.63705e+240<br> domain error<br> 124, -19.5, -7.63705e+240<br> domain
+      error<br> 124, -20.5, -7.63705e+240<br> domain error<br> 2, -0.5, -0.828797<br>
+      domain error<br> 3, -0.5, 193.409<br> domain error<br> 4, -0.5, -3.47425<br>
+      domain error<br> 5, -0.5, 15371.1<br> domain error<br> 6, -0.5, -43.4579<br>
+      domain error<br> 7, -0.5, 2.58068e+06<br> domain error<br> 8, -0.5, -1059.96<br>
+      domain error<br> 9, -0.5, 7.43185e+08<br> domain error<br> 10, -0.5,
+      -42108.9<br> domain error<br> 11, -0.5, 3.26999e+11<br> domain error<br>
+      12, -0.5, -2.46448e+06<br> domain error<br> 13, -0.5, 2.04047e+14<br>
+      domain error<br> 14, -0.5, -1.9918e+08<br> domain error<br> 15, -0.5,
+      1.71399e+17<br> domain error<br> 16, -0.5, -2.12394e+10<br> domain error<br>
+      17, -0.5, 1.86483e+20<br> domain error<br> 18, -0.5, -2.88824e+12<br>
+      domain error<br> 19, -0.5, 2.55108e+23<br> domain error<br> 20, -0.5,
+      -4.87773e+14<br> domain error<br> 21, -0.5, 4.28582e+26<br> domain error<br>
+      2, -0.5, -0.828843<br> domain error<br> 3, -0.5, 193.409<br> domain error<br>
+      4, -0.5, -3.47791<br> domain error<br> 5, -0.5, 15371.1<br> domain error<br>
+      6, -0.5, -44.0732<br> domain error<br> 7, -0.5, 2.58068e+06<br> domain
+      error<br> 8, -0.5, -1237.15<br> domain error<br> 9, -0.5, 7.43185e+08<br>
+      domain error<br> 10, -0.5, -120071<br> domain error<br> 11, -0.5, 3.26999e+11<br>
+      domain error<br> 12, -0.5, -5.11131e+07<br> domain error<br> 13, -0.5,
+      2.04047e+14<br> domain error<br> 14, -0.5, -4.1064e+10<br> domain error<br>
+      15, -0.5, 1.71399e+17<br> domain error<br> 16, -0.5, -4.44822e+13<br>
+      domain error<br> 17, -0.5, 1.86483e+20<br> domain error<br> 18, -0.5,
+      -6.08254e+16<br> domain error<br> 19, -0.5, 2.55108e+23<br> domain error<br>
+      20, -0.5, -1.02182e+20<br> domain error<br> 21, -0.5, 4.28582e+26<br>
+      domain error<br> 2, -0.5, -0.828751<br> domain error<br> 3, -0.5, 193.409<br>
+      domain error<br> 4, -0.5, -3.47059<br> domain error<br> 5, -0.5, 15371.1<br>
+      domain error<br> 6, -0.5, -42.8426<br> domain error<br> 7, -0.5, 2.58068e+06<br>
+      domain error<br> 8, -0.5, -882.773<br> domain error<br> 9, -0.5, 7.43185e+08<br>
+      domain error<br> 10, -0.5, 35853.7<br> domain error<br> 11, -0.5, 3.26999e+11<br>
+      domain error<br> 12, -0.5, 4.61841e+07<br> domain error<br> 13, -0.5,
+      2.04047e+14<br> domain error<br> 14, -0.5, 4.06656e+10<br> domain error<br>
+      15, -0.5, 1.71399e+17<br> domain error<br> 16, -0.5, 4.44397e+13<br>
+      domain error<br> 17, -0.5, 1.86483e+20<br> domain error<br> 18, -0.5,
+      6.08197e+16<br> domain error<br> 19, -0.5, 2.55108e+23<br> domain error<br>
+      20, -0.5, 1.02181e+20<br> domain error<br> 21, -0.5, 4.28582e+26<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h106"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with5"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with5">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Mathematica Data - negative arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_negative_arguments"></a>domain
+      error<br> 2, -12.75, -124.031<br> domain error<br> 2, -12.25, 124.019<br>
+      domain error<br> 2, -11.75, -124.032<br> domain error<br> 2, -11.25,
+      124.018<br> domain error<br> 2, -10.75, -124.033<br> domain error<br>
+      2, -10.25, 124.016<br> domain error<br> 2, -9.75, -124.035<br> domain
+      error<br> 2, -9.25, 124.015<br> domain error<br> 2, -8.75, -124.037<br>
+      domain error<br> 2, -8.25, 124.012<br> domain error<br> 2, -7.75, -124.04<br>
+      domain error<br> 2, -7.25, 124.009<br> domain error<br> 2, -6.75, -124.044<br>
+      domain error<br> 2, -6.25, 124.003<br> domain error<br> 2, -5.75, -124.051<br>
+      domain error<br> 2, -5.25, 123.995<br> domain error<br> 2, -4.75, -124.061<br>
+      domain error<br> 2, -4.25, 123.981<br> domain error<br> 2, -3.75, -124.08<br>
+      domain error<br> 2, -3.25, 123.955<br> domain error<br> 2, -2.75, -124.118<br>
+      domain error<br> 2, -2.25, 123.897<br> domain error<br> 2, -1.75, -124.214<br>
+      domain error<br> 2, -1.25, 123.721<br> domain error<br> 2, -0.75, -124.587<br>
+      domain error<br> 2, -0.25, 122.697<br> domain error<br> 3, -12.75, 1558.54<br>
+      domain error<br> 3, -12.25, 1558.54<br> domain error<br> 3, -11.75, 1558.54<br>
+      domain error<br> 3, -11.25, 1558.54<br> domain error<br> 3, -10.75, 1558.54<br>
+      domain error<br> 3, -10.25, 1558.54<br> domain error<br> 3, -9.75, 1558.54<br>
+      domain error<br> 3, -9.25, 1558.54<br> domain error<br> 3, -8.75, 1558.54<br>
+      domain error<br> 3, -8.25, 1558.54<br> domain error<br> 3, -7.75, 1558.54<br>
+      domain error<br> 3, -7.25, 1558.54<br> domain error<br> 3, -6.75, 1558.54<br>
+      domain error<br> 3, -6.25, 1558.54<br> domain error<br> 3, -5.75, 1558.54<br>
+      domain error<br> 3, -5.25, 1558.54<br> domain error<br> 3, -4.75, 1558.53<br>
+      domain error<br> 3, -4.25, 1558.53<br> domain error<br> 3, -3.75, 1558.52<br>
+      domain error<br> 3, -3.25, 1558.51<br> domain error<br> 3, -2.75, 1558.49<br>
+      domain error<br> 3, -2.25, 1558.46<br> domain error<br> 3, -1.75, 1558.38<br>
+      domain error<br> 3, -1.25, 1558.22<br> domain error<br> 3, -0.75, 1557.75<br>
+      domain error<br> 3, -0.25, 1555.76<br> domain error<br> 4, -12.75, -24481.6<br>
+      domain error<br> 4, -12.25, 24481.6<br> domain error<br> 4, -11.75, -24481.6<br>
+      domain error<br> 4, -11.25, 24481.6<br> domain error<br> 4, -10.75, -24481.6<br>
+      domain error<br> 4, -10.25, 24481.6<br> domain error<br> 4, -9.75, -24481.6<br>
+      domain error<br> 4, -9.25, 24481.6<br> domain error<br> 4, -8.75, -24481.6<br>
+      domain error<br> 4, -8.25, 24481.6<br> domain error<br> 4, -7.75, -24481.6<br>
+      domain error<br> 4, -7.25, 24481.6<br> domain error<br> 4, -6.75, -24481.6<br>
+      domain error<br> 4, -6.25, 24481.6<br> domain error<br> 4, -5.75, -24481.6<br>
+      domain error<br> 4, -5.25, 24481.6<br> domain error<br> 4, -4.75, -24481.6<br>
+      domain error<br> 4, -4.25, 24481.6<br> domain error<br> 4, -3.75, -24481.6<br>
+      domain error<br> 4, -3.25, 24481.5<br> domain error<br> 4, -2.75, -24481.6<br>
+      domain error<br> 4, -2.25, 24481.5<br> domain error<br> 4, -1.75, -24481.8<br>
+      domain error<br> 4, -1.25, 24481.1<br> domain error<br> 4, -0.75, -24483.2<br>
+      domain error<br> 4, -0.25, 24473.2<br> domain error<br> 5, -12.75, 492231<br>
+      domain error<br> 5, -12.25, 492231<br> domain error<br> 5, -11.75, 492231<br>
+      domain error<br> 5, -11.25, 492231<br> domain error<br> 5, -10.75, 492231<br>
+      domain error<br> 5, -10.25, 492231<br> domain error<br> 5, -9.75, 492231<br>
+      domain error<br> 5, -9.25, 492231<br> domain error<br> 5, -8.75, 492231<br>
+      domain error<br> 5, -8.25, 492231<br> domain error<br> 5, -7.75, 492231<br>
+      domain error<br> 5, -7.25, 492231<br> domain error<br> 5, -6.75, 492231<br>
+      domain error<br> 5, -6.25, 492231<br> domain error<br> 5, -5.75, 492231<br>
+      domain error<br> 5, -5.25, 492231<br> domain error<br> 5, -4.75, 492231<br>
+      domain error<br> 5, -4.25, 492231<br> domain error<br> 5, -3.75, 492231<br>
+      domain error<br> 5, -3.25, 492231<br> domain error<br> 5, -2.75, 492231<br>
+      domain error<br> 5, -2.25, 492231<br> domain error<br> 5, -1.75, 492231<br>
+      domain error<br> 5, -1.25, 492230<br> domain error<br> 5, -0.75, 492227<br>
+      domain error<br> 5, -0.25, 492199<br> domain error<br> 6, -12.75, -1.17912e+07<br>
+      domain error<br> 6, -12.25, 1.17912e+07<br> domain error<br> 6, -11.75,
+      -1.17912e+07<br> domain error<br> 6, -11.25, 1.17912e+07<br> domain error<br>
+      6, -10.75, -1.17912e+07<br> domain error<br> 6, -10.25, 1.17912e+07<br>
+      domain error<br> 6, -9.75, -1.17912e+07<br> domain error<br> 6, -9.25,
+      1.17912e+07<br> domain error<br> 6, -8.75, -1.17912e+07<br> domain error<br>
+      6, -8.25, 1.17912e+07<br> domain error<br> 6, -7.75, -1.17912e+07<br>
+      domain error<br> 6, -7.25, 1.17912e+07<br> domain error<br> 6, -6.75,
+      -1.17912e+07<br> domain error<br> 6, -6.25, 1.17912e+07<br> domain error<br>
+      6, -5.75, -1.17912e+07<br> domain error<br> 6, -5.25, 1.17912e+07<br>
+      domain error<br> 6, -4.75, -1.17912e+07<br> domain error<br> 6, -4.25,
+      1.17912e+07<br> domain error<br> 6, -3.75, -1.17912e+07<br> domain error<br>
+      6, -3.25, 1.17912e+07<br> domain error<br> 6, -2.75, -1.17912e+07<br>
+      domain error<br> 6, -2.25, 1.17912e+07<br> domain error<br> 6, -1.75,
+      -1.17912e+07<br> domain error<br> 6, -1.25, 1.17912e+07<br> *** FURTHER
+      CONTENT HAS BEEN TRUNCATED FOR BREVITY ***<br>
+    </p>
+<h5>
+<a name="special_function_error_rates_rep.error_logs.h107"></a>
+      <span class="phrase"><a name="special_function_error_rates_rep.error_logs.error_output_for_polygamma_with6"></a></span><a class="link" href="index.html#special_function_error_rates_rep.error_logs.error_output_for_polygamma_with6">Error
+      Output For polygamma with compiler GNU C++ version 7.1.0 and library GSL 2.1
+      and test data Mathematica Data - large arguments</a>
+    </h5>
+<p>
+      <a name="errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_arguments"></a>underflow<br>
+      30, 8.58993e+09, -8.44974e-268<br> underflow<br> 30, 1.71799e+10, -7.86943e-277<br>
+      underflow<br> 30, 3.43597e+10, -7.32898e-286<br> underflow<br> 30, 6.87195e+10,
+      -6.82564e-295<br> underflow<br> 30, 1.37439e+11, -6.35687e-304<br> underflow<br>
+      30, 2.74878e+11, -5.9203e-313<br> underflow<br> 30, 5.49756e+11, -5.53354e-322<br>
+      underflow<br> 30, 1.09951e+12, -0<br> underflow<br> 30, 2.19902e+12,
+      -0<br> underflow<br> 30, 4.39805e+12, -0<br> underflow<br> 30, 8.79609e+12,
+      -0<br> underflow<br> 30, 1.75922e+13, -0<br> underflow<br> 30, 3.51844e+13,
+      -0<br> underflow<br> 30, 7.03687e+13, -0<br> underflow<br> 30, 1.40737e+14,
+      -0<br> underflow<br> 30, 2.81475e+14, -0<br> underflow<br> 30, 5.6295e+14,
+      -0<br> underflow<br> 30, 1.1259e+15, -0<br> underflow<br> 30, 2.2518e+15,
+      -0<br> underflow<br> 30, 4.5036e+15, -0<br> underflow<br> 30, 9.0072e+15,
+      -0<br> underflow<br> 30, 1.80144e+16, -0<br> underflow<br> 30, 3.60288e+16,
+      -0<br> underflow<br> 30, 7.20576e+16, -0<br> underflow<br> 30, 1.44115e+17,
+      -0<br> underflow<br> 30, 2.8823e+17, -0<br> underflow<br> 30, 5.76461e+17,
+      -0<br> underflow<br> 30, 1.15292e+18, -0<br> underflow<br> 30, 2.30584e+18,
+      -0<br> underflow<br> 30, 4.61169e+18, -0<br> underflow<br> 30, 9.22337e+18,
+      -0<br> underflow<br> 30, 1.84467e+19, -0<br> underflow<br> 30, 3.68935e+19,
+      -0<br> underflow<br> 30, 7.3787e+19, -0<br> underflow<br> 30, 1.47574e+20,
+      -0<br> underflow<br> 30, 2.95148e+20, -0<br> underflow<br> 30, 5.90296e+20,
+      -0<br> underflow<br> 30, 1.18059e+21, -0<br> underflow<br> 30, 2.36118e+21,
+      -0<br> underflow<br> 30, 4.72237e+21, -0<br> underflow<br> 30, 9.44473e+21,
+      -0<br> underflow<br> 30, 1.88895e+22, -0<br> underflow<br> 30, 3.77789e+22,
+      -0<br> underflow<br> 30, 7.55579e+22, -0<br> underflow<br> 30, 1.51116e+23,
+      -0<br> underflow<br> 30, 3.02231e+23, -0<br> underflow<br> 30, 6.04463e+23,
+      -0<br> underflow<br> 30, 1.20893e+24, -0<br> underflow<br> 30, 2.41785e+24,
+      -0<br> underflow<br> 30, 4.8357e+24, -0<br> underflow<br> 30, 9.67141e+24,
+      -0<br> underflow<br> 30, 1.93428e+25, -0<br> underflow<br> 30, 3.86856e+25,
+      -0<br> underflow<br> 30, 7.73713e+25, -0<br> underflow<br> 30, 1.54743e+26,
+      -0<br> underflow<br> 30, 3.09485e+26, -0<br> underflow<br> 30, 6.1897e+26,
+      -0<br> underflow<br> 30, 1.23794e+27, -0<br> underflow<br> 30, 2.47588e+27,
+      -0<br> underflow<br> 30, 4.95176e+27, -0<br> underflow<br> 30, 9.90352e+27,
+      -0<br> underflow<br> 30, 1.9807e+28, -0<br> underflow<br> 30, 3.96141e+28,
+      -0<br> underflow<br> 30, 7.92282e+28, -0<br> underflow<br> 30, 1.58456e+29,
+      -0<br> underflow<br> 30, 3.16913e+29, -0<br> underflow<br> 30, 6.33825e+29,
+      -0<br> underflow<br> 30, 1.26765e+30, -0<br>
+    </p>
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_error_rates_rep.all_the_tables"></a><a class="link" href="index.html#special_function_error_rates_rep.all_the_tables" title="Tables">Tables</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_beta"></a><p class="title"><b>Table&#160;97.&#160;Error rates for beta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for beta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_beta_GSL_2_1_Beta_Function_Small_Values">And
+                other failures.</a>)</span><br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.14&#949; (Mean = 0.574&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 1.22&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 364&#949; (Mean = 76.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 1.14&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.978&#949; (Mean = 0.0595&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.18e+03&#949; (Mean = 238&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.09e+03&#949; (Mean = 265&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 61.4&#949; (Mean = 19.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.07e+03&#949; (Mean = 264&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 24.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 96.5&#949; (Mean = 22.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta Function: Divergent Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 12.1&#949; (Mean = 1.99&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 176&#949; (Mean = 28&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.99&#949; (Mean = 2.44&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 128&#949; (Mean = 23.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.8&#949; (Mean = 2.71&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.4&#949; (Mean = 2.19&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_beta_incomplete_"></a><p class="title"><b>Table&#160;98.&#160;Error rates for beta (incomplete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for beta (incomplete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 2.32&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.7&#949; (Mean = 3.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.94&#949; (Mean = 2.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.568&#949; (Mean = 0.0254&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 13.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 174&#949; (Mean = 25&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 90&#949; (Mean = 12.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.0325&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.84e+04&#949; (Mean = 2.76e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.86e+04&#949; (Mean = 2.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 633&#949; (Mean = 29.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.0323&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.6&#949; (Mean = 3.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 51.8&#949; (Mean = 11&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26&#949; (Mean = 6.28&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_betac"></a><p class="title"><b>Table&#160;99.&#160;Error rates for betac</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for betac">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.676&#949; (Mean = 0.0302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.92&#949; (Mean = 2.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.2&#949; (Mean = 2.94&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.94&#949; (Mean = 2.06&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.949&#949; (Mean = 0.098&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 63.5&#949; (Mean = 13.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 97.6&#949; (Mean = 24.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 90.6&#949; (Mean = 14.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.12&#949; (Mean = 0.0458&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.05e+05&#949; (Mean = 5.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.04e+05&#949; (Mean = 5.46e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.72e+03&#949; (Mean = 113&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.586&#949; (Mean = 0.0314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 3.65&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 103&#949; (Mean = 17.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.2&#949; (Mean = 6.36&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_binomial_coefficient"></a><p class="title"><b>Table&#160;100.&#160;Error rates for binomial_coefficient</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for binomial_coefficient">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Binomials: small arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.339&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.339&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomials: large arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.939&#949; (Mean = 0.314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.6&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 53.2&#949; (Mean = 10.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.2&#949; (Mean = 7.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_boost_math_powm1"></a><p class="title"><b>Table&#160;101.&#160;Error rates for boost::math::powm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for boost::math::powm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                powm1
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.04&#949; (Mean = 0.493&#949;))<br>
+                <br> <span class="blue">Max = 2.04&#949; (Mean = 0.493&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.04&#949; (Mean = 0.493&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.06&#949; (Mean = 0.425&#949;))<br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.06&#949; (Mean = 0.425&#949;))<br>
+                <br> <span class="blue">Max = 1.06&#949; (Mean = 0.425&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88&#949; (Mean = 0.49&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.88&#949; (Mean = 0.49&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.84&#949; (Mean = 0.486&#949;))<br>
+                <br> <span class="blue">Max = 1.84&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cbrt"></a><p class="title"><b>Table&#160;102.&#160;Error rates for cbrt</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cbrt">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                cbrt Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.34&#949; (Mean = 0.471&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.34&#949; (Mean = 0.471&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.34&#949; (Mean = 0.471&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.565&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.7&#949; (Mean = 0.565&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cos_pi"></a><p class="title"><b>Table&#160;103.&#160;Error rates for cos_pi</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cos_pi">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.302&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.284&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi near integers and half integers
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.28&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.28&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.298&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_i"></a><p class="title"><b>Table&#160;104.&#160;Error rates for cyl_bessel_i</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 270&#949; (Mean = 91.6&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I0_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.52&#949; (Mean = 0.622&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.738&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.49&#949; (Mean = 3.46&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.661&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.762&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 128&#949; (Mean = 41&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_I1_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.53&#949; (Mean = 0.483&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_I1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5&#949; (Mean = 2.15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_I1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.767&#949; (Mean = 0.398&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.31&#949; (Mean = 0.838&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.73&#949; (Mean = 0.601&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_In_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 430&#949; (Mean = 163&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_In_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 140&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.46&#949; (Mean = 1.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.95&#949; (Mean = 2.08&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.53&#949; (Mean = 1.39&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.12&#949; (Mean = 1.85&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 616&#949; (Mean = 221&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.12&#949; (Mean = 1.95&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 261&#949; (Mean = 53.2&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_In_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.37&#949; (Mean = 2.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.62&#949; (Mean = 1.06&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 645&#949; (Mean = 132&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 176&#949; (Mean = 39.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.67&#949; (Mean = 1.88&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.661&#949; (Mean = 0.0441&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 6.18e+03&#949; (Mean = 1.55e+03&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 4.28e+08&#949; (Mean = 2.85e+07&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.35&#949; (Mean = 1.62&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.05e+03&#949; (Mean = 224&#949;)
+                <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Random_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 283&#949; (Mean = 88.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.46&#949; (Mean = 1.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Iv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 37&#949; (Mean = 18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_GSL_2_1_Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 3.77e+168&#949; (Mean = 2.39e+168&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_Rmath_3_2_3_Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 6.66&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 118&#949; (Mean = 57.2&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i__cmath__Bessel_Iv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 6.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.64&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_i_integer_orders_"></a><p class="title"><b>Table&#160;105.&#160;Error rates for cyl_bessel_i (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.79&#949; (Mean = 0.482&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.52&#949; (Mean = 0.622&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.738&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.49&#949; (Mean = 3.46&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.661&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.762&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.82&#949; (Mean = 0.456&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.53&#949; (Mean = 0.483&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_I1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5&#949; (Mean = 2.15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_I1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.64&#949; (Mean = 0.202&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.767&#949; (Mean = 0.398&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel In: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.15&#949; (Mean = 2.13&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__GSL_2_1_Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.73&#949; (Mean = 0.601&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_i_integer_orders__Rmath_3_2_3_Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 430&#949; (Mean = 163&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_i_integer_orders___cmath__Bessel_In_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 140&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.46&#949; (Mean = 1.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_i_prime"></a><p class="title"><b>Table&#160;106.&#160;Error rates for cyl_bessel_i_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.354&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.782&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 701&#949; (Mean = 212&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.61&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.512&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 914&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 914&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.76e+03&#949; (Mean = 1.19e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.95&#949; (Mean = 1.06&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 195&#949; (Mean = 37.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.85&#949; (Mean = 1.82&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.1&#949; (Mean = 2.93&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 336&#949; (Mean = 68.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 2.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.6&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.6&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.5&#949; (Mean = 26.6&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_i_prime_integer_orders_"></a><p class="title"><b>Table&#160;107.&#160;Error rates for cyl_bessel_i_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_i_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel I'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.259&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.82&#949; (Mean = 0.354&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.757&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.782&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel I'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 701&#949; (Mean = 212&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.61&#949; (Mean = 1.22&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_j"></a><p class="title"><b>Table&#160;108.&#160;Error rates for cyl_bessel_j</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.04&#949; (Mean = 1.78&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J0_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J0_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.79e+08&#949; (Mean =
+                1.96e+08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8e+04&#949; (Mean = 3.27e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 6.5e+07&#949; (Mean = 2.66e+07&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.04e+07&#949; (Mean = 4.29e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1e+07&#949; (Mean = 4.09e+06&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.59&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 6.1&#949; (Mean = 2.95&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.62&#949; (Mean = 2.35&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J1_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.946&#949; (Mean = 0.39&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J1_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.44&#949; (Mean = 0.637&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.73&#949; (Mean = 0.976&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.15e+06&#949; (Mean =
+                1.58e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 47.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.75e+05&#949; (Mean = 5.32e+05&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.93e+06&#949; (Mean = 1.7e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.45e+04&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.85&#949; (Mean = 3.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.13e+19&#949; (Mean
+                = 5.16e+18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_JN_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.9e+05&#949; (Mean = 2.15e+05&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_JN_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_JN_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 112&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 5.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 4.11&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.49e+05&#949; (Mean = 8.09e+04&#949;)
+                <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10&#949; (Mean = 2.24&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.39e+05&#949; (Mean = 5.37e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_Rmath_3_2_3_Bessel_J_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 4.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.9&#949; (Mean = 3.89&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 607&#949; (Mean = 305&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 34.9&#949; (Mean = 17.4&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j__cmath__Bessel_J_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.536&#949; (Mean = 0.268&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.91e+03&#949; (Mean = 2.46e+03&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 5.9&#949; (Mean = 3.76&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 607&#949; (Mean = 305&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.31&#949; (Mean = 5.52&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.8&#949; (Mean = 3.69&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.12e+03&#949; (Mean = 88.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 75.7&#949; (Mean = 5.36&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.93&#949; (Mean = 1.22&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 99.6&#949; (Mean = 22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 17.5&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.4&#949; (Mean = 1.68&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 501&#949; (Mean = 52.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 15.5&#949; (Mean = 3.33&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_GSL_2_1_Bessel_J_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 6.74&#949; (Mean = 1.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 260&#949; (Mean = 34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.24&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J: Random Data (Tricky large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 785&#949; (Mean = 94.2&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 5.01e+17&#949; (Mean
+                = 6.23e+16&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.48e+05&#949; (Mean = 5.11e+04&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 71.6&#949; (Mean = 11.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 785&#949; (Mean = 97.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.2&#949; (Mean = 8.67&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_j_integer_orders_"></a><p class="title"><b>Table&#160;109.&#160;Error rates for cyl_bessel_j (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.04&#949; (Mean = 1.78&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.12&#949; (Mean = 0.488&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.629&#949; (Mean = 0.223&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J0_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.55&#949; (Mean = 2.86&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 1.2&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.89&#949; (Mean = 0.988&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0: Mathworld Data (Tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.79e+08&#949; (Mean =
+                1.96e+08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8e+04&#949; (Mean = 3.27e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1e+07&#949; (Mean = 4.11e+06&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.04e+07&#949; (Mean = 4.29e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.64e+08&#949; (Mean = 6.69e+07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1e+07&#949; (Mean = 4.09e+06&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> <span class="red">Max
+                = 2.54e+08&#949; (Mean = 1.04e+08&#949;))</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.59&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 6.1&#949; (Mean = 2.95&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_J1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.89&#949; (Mean = 0.721&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.946&#949; (Mean = 0.39&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_J1_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.44&#949; (Mean = 0.637&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.73&#949; (Mean = 0.976&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 11.4&#949; (Mean = 4.15&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1: Mathworld Data (tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.15e+06&#949; (Mean =
+                1.58e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 47.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.26e+06&#949; (Mean = 6.28e+05&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.93e+06&#949; (Mean = 1.7e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.18e+05&#949; (Mean = 9.76e+04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.45e+04&#949;)</span><br>
+                <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.44e+07&#949; (Mean
+                = 6.5e+06&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.85&#949; (Mean = 3.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.13e+19&#949; (Mean
+                = 5.16e+18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_j_integer_orders___cmath__Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.9e+05&#949; (Mean = 2.53e+05&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__GSL_2_1_Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_j_integer_orders__Rmath_3_2_3_Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 463&#949; (Mean = 112&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.7&#949; (Mean = 5.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_Microsoft_Visual_C_version_14_1_Win32_double_cyl_bessel_j_integer_orders___math_h__Bessel_JN_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_j_prime"></a><p class="title"><b>Table&#160;110.&#160;Error rates for cyl_bessel_j_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.72&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.62&#949; (Mean = 2.55&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (tricky cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 287&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 288&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.527&#949; (Mean = 0.128&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 312&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 355&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.5&#949; (Mean = 4.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 9.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 9.32&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 989&#949; (Mean = 495&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 989&#949; (Mean = 495&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.9&#949; (Mean = 1.61&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.593&#949; (Mean = 0.0396&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.3&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 79.4&#949; (Mean = 16.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.34&#949; (Mean = 0.999&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.885&#949; (Mean = 0.033&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 139&#949; (Mean = 6.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 279&#949; (Mean = 27.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 176&#949; (Mean = 9.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J': Random Data (Tricky large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 474&#949; (Mean = 62.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 474&#949; (Mean = 64.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 379&#949; (Mean = 45.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_j_prime_integer_orders_"></a><p class="title"><b>Table&#160;111.&#160;Error rates for cyl_bessel_j_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_j_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.9&#949; (Mean = 6.72&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.62&#949; (Mean = 2.55&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J0': Mathworld Data (Tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.44&#949; (Mean = 3.31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.67&#949; (Mean = 1.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.9&#949; (Mean = 3.37&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel J1': Mathworld Data (tricky cases) (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 287&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.88e+05&#949; (Mean = 2.63e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 288&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel JN': Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.527&#949; (Mean = 0.128&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 312&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.29e+03&#949; (Mean = 355&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14&#949; (Mean = 6.13&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_k"></a><p class="title"><b>Table&#160;112.&#160;Error rates for cyl_bessel_k</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.33&#949; (Mean = 3.25&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.04&#949; (Mean = 2.16&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.833&#949; (Mean = 0.601&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.552&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.94&#949; (Mean = 3.19&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.26&#949; (Mean = 2.21&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.894&#949; (Mean = 0.516&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 12.9&#949; (Mean = 4.91&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kn_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.36&#949; (Mean = 1.43&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 8.48&#949; (Mean = 2.98&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.63&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.58&#949; (Mean = 2.39&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13&#949; (Mean = 4.81&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.47&#949; (Mean = 2.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.15&#949; (Mean = 1.35&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.21&#949; (Mean = 2.53&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.78&#949; (Mean = 2.19&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.3&#949; (Mean = 21&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 42.3&#949; (Mean = 19.8&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 308&#949; (Mean = 142&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 84.6&#949; (Mean = 37.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.3&#949; (Mean = 21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.8&#949; (Mean = 26.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.55&#949; (Mean = 1.12&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13.9&#949; (Mean = 2.91&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.764&#949; (Mean = 0.0348&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.71&#949; (Mean = 1.76&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kn_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.47&#949; (Mean = 1.34&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.55&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.34&#949; (Mean = 1.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.88&#949; (Mean = 1.48&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 13.6&#949; (Mean = 2.68&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k__cmath__Bessel_Kv_Random_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.507&#949; (Mean = 0.0313&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 9.71&#949; (Mean = 1.47&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_bessel_k_GSL_2_1_Bessel_Kv_Random_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.37&#949; (Mean = 1.49&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.88&#949; (Mean = 1.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.33&#949; (Mean = 1.62&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_k_integer_orders_"></a><p class="title"><b>Table&#160;113.&#160;Error rates for cyl_bessel_k (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.33&#949; (Mean = 3.25&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.2&#949; (Mean = 0.733&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.833&#949; (Mean = 0.601&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.436&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.552&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.94&#949; (Mean = 3.19&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.626&#949; (Mean = 0.333&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.894&#949; (Mean = 0.516&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel Kn: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 12.9&#949; (Mean = 4.91&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_bessel_k_integer_orders___cmath__Bessel_Kn_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 168&#949; (Mean = 59.5&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 8.48&#949; (Mean = 2.98&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.6&#949; (Mean = 1.21&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.63&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_k_prime"></a><p class="title"><b>Table&#160;114.&#160;Error rates for cyl_bessel_k_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.761&#949; (Mean = 0.444&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 2.44&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 2.34&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.94&#949; (Mean = 1.47&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 59.2&#949; (Mean = 42.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 58.7&#949; (Mean = 42.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.6&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 1.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 1.19&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.67&#949; (Mean = 1.73&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.95&#949; (Mean = 1.53&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.95&#949; (Mean = 1.52&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.32&#949; (Mean = 1.65&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_bessel_k_prime_integer_orders_"></a><p class="title"><b>Table&#160;115.&#160;Error rates for cyl_bessel_k_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_bessel_k_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Bessel K'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.329&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.786&#949; (Mean = 0.39&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.736&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.761&#949; (Mean = 0.444&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Bessel K'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_neumann"></a><p class="title"><b>Table&#160;116.&#160;Error rates for cyl_neumann</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.05e+05&#949; (Mean = 6.87e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 60.9&#949; (Mean = 20.4&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 167&#949; (Mean = 56.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.61&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.25&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.71e+03&#949; (Mean = 4.08e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 23.4&#949; (Mean = 8.1&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 193&#949; (Mean = 64.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.72&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.2e+20&#949; (Mean
+                = 6.97e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yn_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.314&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.41e+05&#949; (Mean = 7.62e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yn_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.24e+04&#949; (Mean = 4e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35&#949; (Mean = 11.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.7&#949; (Mean = 4.93&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 3.49e+15&#949; (Mean
+                = 1.05e+15&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10&#949; (Mean = 3.02&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.07e+05&#949; (Mean = 3.22e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 243&#949; (Mean = 73.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.7&#949; (Mean = 5.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.89&#949; (Mean = 3.27&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 43.2&#949; (Mean = 16.3&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Mathworld_Data_large_values_">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 60.8&#949; (Mean = 23&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_cyl_neumann_GSL_2_1_Yv_Mathworld_Data_large_values_">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0.682&#949; (Mean = 0.335&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 1.33&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.682&#949; (Mean = 0.423&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y0 and Y1: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.8&#949; (Mean = 3.04&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.59e+03&#949; (Mean = 500&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 34.4&#949; (Mean = 8.9&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 83&#949; (Mean = 14.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.8&#949; (Mean = 3.04&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.17&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 338&#949; (Mean = 27.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.01e+03&#949; (Mean = 348&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 500&#949; (Mean = 47.8&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 691&#949; (Mean = 67.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 338&#949; (Mean = 27.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 117&#949; (Mean = 10.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yv: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.08e+03&#949; (Mean = 149&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann__cmath__Yv_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.102&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.41e+06&#949; (Mean = 7.67e+04&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.79e+05&#949; (Mean = 9.64e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.08e+03&#949; (Mean = 149&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.23e+03&#949; (Mean = 69.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_neumann_integer_orders_"></a><p class="title"><b>Table&#160;117.&#160;Error rates for cyl_neumann (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.05e+05&#949; (Mean = 6.87e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.46&#949; (Mean = 2.38&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 167&#949; (Mean = 56.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.53&#949; (Mean = 2.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.61&#949; (Mean = 2.29&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 5.37e+03&#949; (Mean = 1.81e+03&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.25&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 9.71e+03&#949; (Mean = 4.08e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.51&#949; (Mean = 0.839&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 193&#949; (Mean = 64.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 2.29&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.72&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.86e+04&#949; (Mean = 6.2e+03&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Yn: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.2e+20&#949; (Mean
+                = 6.97e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_cyl_neumann_integer_orders___cmath__Yn_Mathworld_Data_Integer_Version_">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.314&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.41e+05&#949; (Mean = 7.62e+04&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.24e+04&#949; (Mean = 4e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 55.2&#949; (Mean = 17.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35&#949; (Mean = 11.9&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 2.49e+05&#949; (Mean = 8.14e+04&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_neumann_prime"></a><p class="title"><b>Table&#160;118.&#160;Error rates for cyl_neumann_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y'0: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'1: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.58&#949; (Mean = 0.193&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.1&#949; (Mean = 12.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 18.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 21.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 563&#949; (Mean = 178&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.5&#949; (Mean = 6.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 13.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 42.5&#949; (Mean = 13.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 10.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Mathworld Data (large values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.627&#949; (Mean = 0.237&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'0 and Y'1: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.8&#949; (Mean = 3.69&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.8&#949; (Mean = 3.69&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.95&#949; (Mean = 1.36&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.0885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.35e+03&#949; (Mean = 136&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.35e+03&#949; (Mean = 136&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 621&#949; (Mean = 36&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'v: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56.8&#949; (Mean = 2.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16e+05&#949; (Mean = 5.28e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16e+05&#949; (Mean = 5.28e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.23e+04&#949; (Mean = 1.13e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_cyl_neumann_prime_integer_orders_"></a><p class="title"><b>Table&#160;119.&#160;Error rates for cyl_neumann_prime (integer orders)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for cyl_neumann_prime (integer orders)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Y'0: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.33&#949; (Mean = 3.14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.75&#949; (Mean = 1.75&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'1: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.58&#949; (Mean = 0.193&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 37.1&#949; (Mean = 12.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34&#949; (Mean = 11.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08&#949; (Mean = 1.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Y'n: Mathworld Data (Integer Version)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 18.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56&#949; (Mean = 21.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 563&#949; (Mean = 178&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_digamma"></a><p class="title"><b>Table&#160;120.&#160;Error rates for digamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for digamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Digamma Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.84&#949; (Mean = 0.71&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.18&#949; (Mean = 0.331&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39&#949; (Mean = 0.413&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39&#949; (Mean = 0.413&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.98&#949; (Mean = 0.369&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Near the Positive Root
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.891&#949; (Mean = 0.0995&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 135&#949; (Mean = 11.9&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.02e+03&#949; (Mean = 256&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.37&#949; (Mean = 0.477&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.471&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.527&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Near Zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.953&#949; (Mean = 0.348&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.17&#949; (Mean = 0.564&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.984&#949; (Mean = 0.361&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.984&#949; (Mean = 0.361&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.953&#949; (Mean = 0.337&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Negative Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.56e+04&#949; (Mean = 3.91e+03&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 4.6e+04&#949; (Mean = 3.94e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 180&#949; (Mean = 13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 180&#949; (Mean = 13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 214&#949; (Mean = 16.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Values near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.866&#949; (Mean = 0.387&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 3.58e+05&#949; (Mean = 1.6e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.592&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.592&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.215&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.18&#949; (Mean = 0.607&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 4.33&#949; (Mean = 0.982&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.888&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.888&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.452&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Digamma Function: Half integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.09&#949; (Mean = 0.531&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 46.2&#949; (Mean = 7.24&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.906&#949; (Mean = 0.409&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.906&#949; (Mean = 0.409&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.78&#949; (Mean = 0.314&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_1"></a><p class="title"><b>Table&#160;121.&#160;Error rates for ellint_1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral F: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.94&#949; (Mean = 0.509&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_1__cmath__Elliptic_Integral_F_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.919&#949; (Mean = 0.544&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.94&#949; (Mean = 0.509&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.919&#949; (Mean = 0.542&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral F: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.56&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.56&#949; (Mean = 0.816&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.99&#949; (Mean = 0.797&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.561&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.26&#949; (Mean = 0.631&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_1_complete_"></a><p class="title"><b>Table&#160;122.&#160;Error rates for ellint_1 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_1 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral K: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.887&#949; (Mean = 0.296&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.19&#949; (Mean = 0.765&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.623&#949; (Mean = 0.393&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.887&#949; (Mean = 0.296&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.915&#949; (Mean = 0.547&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral K: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.473&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.19&#949; (Mean = 0.694&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.851&#949; (Mean = 0.0851&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.32&#949; (Mean = 0.688&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.473&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.958&#949; (Mean = 0.408&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_2"></a><p class="title"><b>Table&#160;123.&#160;Error rates for ellint_2</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_2">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.63&#949; (Mean = 0.325&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.656&#949; (Mean = 0.317&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_2__cmath__Elliptic_Integral_E_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.656&#949; (Mean = 0.317&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.727&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.4&#949; (Mean = 1.16&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.632&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.08e+04&#949; (Mean = 3.84e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.05&#949; (Mean = 0.632&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 0.639&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Small Angles
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.5&#949; (Mean = 0.118&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.283&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 2&#949; (Mean = 0.333&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.283&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.421&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_2_complete_"></a><p class="title"><b>Table&#160;124.&#160;Error rates for ellint_2 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_2 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.09&#949; (Mean = 1.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_2_complete__GSL_2_1_Elliptic_Integral_E_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.469&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 170&#949; (Mean = 55.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.469&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.615&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.34&#949; (Mean = 1.18&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.629&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.49e+04&#949; (Mean = 3.39e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.629&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.71&#949; (Mean = 0.553&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_3"></a><p class="title"><b>Table&#160;125.&#160;Error rates for ellint_3</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_3">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 475&#949; (Mean = 86.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.48e+05&#949; (Mean = 2.54e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_3_GSL_2_1_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 475&#949; (Mean = 86.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 565&#949; (Mean = 102&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.54&#949; (Mean = 0.895&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 3.37e+20&#949; (Mean
+                = 3.47e+19&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 633&#949; (Mean = 50.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.49&#949; (Mean = 0.885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.33&#949; (Mean = 0.971&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral PI: Large Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.7&#949; (Mean = 0.893&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 2.52e+18&#949; (Mean
+                = 4.83e+17&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3__cmath__Elliptic_Integral_PI_Large_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.557&#949; (Mean = 0.0389&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 40.1&#949; (Mean = 7.77&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.7&#949; (Mean = 0.892&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.86&#949; (Mean = 0.944&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_3_complete_"></a><p class="title"><b>Table&#160;126.&#160;Error rates for ellint_3 (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_3 (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Complete Elliptic Integral PI: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.4&#949; (Mean = 0.575&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 6.31e+20&#949; (Mean
+                = 1.53e+20&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 6.33e+04&#949; (Mean = 1.54e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_3_complete__GSL_2_1_Complete_Elliptic_Integral_PI_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.4&#949; (Mean = 0.575&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.971&#949; (Mean = 0.464&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Complete Elliptic Integral PI: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.696&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> <span class="red">Max = 8.78e+20&#949; (Mean
+                = 1.02e+20&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_ellint_3_complete___cmath__Complete_Elliptic_Integral_PI_Random_Data">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 24&#949; (Mean = 2.99&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.4&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.46&#949; (Mean = 0.657&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_d"></a><p class="title"><b>Table&#160;127.&#160;Error rates for ellint_d</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_d">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.862&#949; (Mean = 0.568&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.813&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.813&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.862&#949; (Mean = 0.457&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral D: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.01&#949; (Mean = 0.928&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.87&#949; (Mean = 0.805&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_d_complete_"></a><p class="title"><b>Table&#160;128.&#160;Error rates for ellint_d (complete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_d (complete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral E: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.637&#949; (Mean = 0.368&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.735&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.735&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.637&#949; (Mean = 0.368&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral D: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.334&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.334&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.27&#949; (Mean = 0.355&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_rc"></a><p class="title"><b>Table&#160;129.&#160;Error rates for ellint_rc</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rc">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                RC: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.4&#949; (Mean = 0.624&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.433&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.962&#949; (Mean = 0.407&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_rd"></a><p class="title"><b>Table&#160;130.&#160;Error rates for ellint_rd</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rd">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RD: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.59&#949; (Mean = 0.878&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.73&#949; (Mean = 0.831&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.16&#949; (Mean = 0.803&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.896&#949; (Mean = 0.022&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.88&#949; (Mean = 0.839&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.65&#949; (Mean = 0.82&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.5&#949; (Mean = 0.843&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = y
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.824&#949; (Mean = 0.0272&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.74&#949; (Mean = 0.84&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.85&#949; (Mean = 0.865&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.51&#949; (Mean = 0.816&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = 0, y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2&#949; (Mean = 0.656&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.19&#949; (Mean = 0.522&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.16&#949; (Mean = 0.497&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.03&#949; (Mean = 0.418&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.387&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RD: x = 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.85&#949; (Mean = 0.781&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.79&#949; (Mean = 0.883&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.64&#949; (Mean = 0.894&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_rf"></a><p class="title"><b>Table&#160;131.&#160;Error rates for ellint_rf</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rf">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RF: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.73&#949; (Mean = 0.804&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.54&#949; (Mean = 0.674&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.02&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.999&#949; (Mean = 0.34&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.345&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.34&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = y or y = z or x = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.536&#949; (Mean = 0.00658&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.89&#949; (Mean = 0.749&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.95&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.21&#949; (Mean = 0.394&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: x = 0, y = z
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.29&#949; (Mean = 0.527&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.894&#949; (Mean = 0.338&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.407&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RF: z = 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.54&#949; (Mean = 0.781&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.539&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.587&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_rg"></a><p class="title"><b>Table&#160;132.&#160;Error rates for ellint_rg</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rg">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RG: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.983&#949; (Mean = 0.0172&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.983&#949; (Mean = 0.0172&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.95&#949; (Mean = 0.951&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.65&#949; (Mean = 0.929&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: two values 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: All values the same or zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.288&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.06&#949; (Mean = 0.348&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: two values the same
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.594&#949; (Mean = 0.0103&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.594&#949; (Mean = 0.0103&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.51&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.374&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RG: one value zero
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.14&#949; (Mean = 0.722&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.674&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ellint_rj"></a><p class="title"><b>Table&#160;133.&#160;Error rates for ellint_rj</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ellint_rj">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                RJ: Random data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.52&#949; (Mean = 0.0184&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.57&#949; (Mean = 0.704&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ellint_rj_GSL_2_1_RJ_Random_data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 186&#949; (Mean = 6.67&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 215&#949; (Mean = 7.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 4 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.03&#949; (Mean = 0.418&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.387&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03&#949; (Mean = 0.418&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 3 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.96&#949; (Mean = 1.06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 20.8&#949; (Mean = 0.986&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 39.9&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: 2 Equal Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.6&#949; (Mean = 0.0228&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.57&#949; (Mean = 0.754&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 220&#949; (Mean = 6.64&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 214&#949; (Mean = 5.28&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                RJ: Equal z and p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.742&#949; (Mean = 0.0166&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.62&#949; (Mean = 0.699&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 17.2&#949; (Mean = 1.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.1&#949; (Mean = 1.14&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_erf"></a><p class="title"><b>Table&#160;134.&#160;Error rates for erf</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erf">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Erf Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.925&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.944&#949; (Mean = 0.191&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.944&#949; (Mean = 0.191&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.841&#949; (Mean = 0.0687&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.06&#949; (Mean = 0.319&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.925&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.944&#949; (Mean = 0.194&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.182&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.57&#949; (Mean = 0.317&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.193&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.921&#949; (Mean = 0.0723&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.921&#949; (Mean = 0.0723&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.119&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.31&#949; (Mean = 0.368&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.197&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.921&#949; (Mean = 0.071&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.171&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 1.19&#949; (Mean = 0.244&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max
+                = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_erf_inv"></a><p class="title"><b>Table&#160;135.&#160;Error rates for erf_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erf_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse Erf Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.389&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.395&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.09&#949; (Mean = 0.502&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_erfc"></a><p class="title"><b>Table&#160;136.&#160;Error rates for erfc</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erfc">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Erf Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max
+                = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.658&#949; (Mean = 0.0537&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.01&#949; (Mean = 0.485&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.76&#949; (Mean = 0.365&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.35&#949; (Mean = 0.307&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.35&#949; (Mean = 0.307&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.983&#949; (Mean = 0.213&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.64&#949; (Mean = 0.662&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.76&#949; (Mean = 0.38&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.81&#949; (Mean = 0.739&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.65&#949; (Mean = 0.373&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.36&#949; (Mean = 0.539&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Erf Function: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.542&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.26&#949; (Mean = 0.441&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.26&#949; (Mean = 0.441&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.868&#949; (Mean = 0.147&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.9&#949; (Mean = 0.472&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.564&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 4.91&#949; (Mean = 1.54&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.14&#949; (Mean = 0.248&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.84&#949; (Mean = 0.331&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_erfc_inv"></a><p class="title"><b>Table&#160;137.&#160;Error rates for erfc_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for erfc_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Inverse Erfc Function
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.397&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.403&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.491&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Inverse Erfc Function: extreme values
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.383&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.383&#949;)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_expint_Ei_"></a><p class="title"><b>Table&#160;138.&#160;Error rates for expint (Ei)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expint (Ei)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 0.821&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 14.1&#949; (Mean = 2.43&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_expint_Ei___cmath__Exponential_Integral_Ei">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.994&#949; (Mean = 0.142&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.96&#949; (Mean = 0.703&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 0.835&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.43&#949; (Mean = 0.54&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei: double exponent range
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.72&#949; (Mean = 0.593&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 3.11&#949; (Mean = 1.13&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.156&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.5&#949; (Mean = 0.612&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.72&#949; (Mean = 0.607&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.7&#949; (Mean = 0.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral Ei: long exponent range
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.98&#949; (Mean = 0.595&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.93&#949; (Mean = 0.855&#949;))
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.98&#949; (Mean = 0.575&#949;)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_expint_En_"></a><p class="title"><b>Table&#160;139.&#160;Error rates for expint (En)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expint (En)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Exponential Integral En
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.589&#949; (Mean = 0.0331&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 58.5&#949; (Mean = 17.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.97&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.97&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.16&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral En: small z values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 115&#949; (Mean = 23.6&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.559&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.559&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.62&#949; (Mean = 0.531&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential Integral E1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.556&#949; (Mean = 0.0625&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.988&#949; (Mean = 0.469&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.965&#949; (Mean = 0.414&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.965&#949; (Mean = 0.408&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.988&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_expm1"></a><p class="title"><b>Table&#160;140.&#160;Error rates for expm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for expm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Random test data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.992&#949; (Mean = 0.402&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.992&#949; (Mean = 0.402&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.992&#949; (Mean = 0.402&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.793&#949; (Mean = 0.126&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.793&#949; (Mean = 0.126&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.428&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.996&#949; (Mean = 0.426&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.31&#949; (Mean = 0.496&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.31&#949; (Mean = 0.496&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_p"></a><p class="title"><b>Table&#160;141.&#160;Error rates for gamma_p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.955&#949; (Mean = 0.05&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 342&#949; (Mean = 45.8&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 389&#949; (Mean = 44&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 41.6&#949; (Mean = 8.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 239&#949; (Mean = 30.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 35.1&#949; (Mean = 6.98&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.82&#949; (Mean = 0.758&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.01&#949; (Mean = 0.306&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.464&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.461&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.54&#949; (Mean = 0.439&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.02e+03&#949; (Mean = 105&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.11e+03&#949; (Mean = 67.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.08e+04&#949; (Mean = 1.86e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.02e+04&#949; (Mean = 1.91e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 128&#949; (Mean = 22.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 66.2&#949; (Mean = 12.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.8&#949; (Mean = 2.66&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 9.47&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 13&#949; (Mean = 2.97&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_p_inv"></a><p class="title"><b>Table&#160;142.&#160;Error rates for gamma_p_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.993&#949; (Mean = 0.15&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 4.88&#949; (Mean = 0.868&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.8&#949; (Mean = 0.406&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.466&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.71&#949; (Mean = 0.34&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 0.816&#949; (Mean = 0.0874&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.0447&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.0447&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.924&#949; (Mean = 0.108&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 441&#949; (Mean = 53.9&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 547&#949; (Mean = 61.6&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.17e+03&#949; (Mean = 1.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.09e+04&#949; (Mean = 1.3e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.1e+03&#949; (Mean = 131&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_p_inva"></a><p class="title"><b>Table&#160;143.&#160;Error rates for gamma_p_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_p_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Incomplete gamma inverses.
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.87&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.08&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.92&#949; (Mean = 1.03&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_q"></a><p class="title"><b>Table&#160;144.&#160;Error rates for gamma_q</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.927&#949; (Mean = 0.035&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 201&#949; (Mean = 13.5&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 131&#949; (Mean = 12.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 32.3&#949; (Mean = 6.61&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 199&#949; (Mean = 26.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.7&#949; (Mean = 4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> <span class="red">Max = 1.38e+10&#949; (Mean = 1.05e+09&#949;))</span><br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 65.6&#949; (Mean = 11&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.885&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45&#949; (Mean = 0.819&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.26&#949; (Mean = 0.74&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.71e+04&#949; (Mean = 2.16e+03&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.02e+03&#949; (Mean = 62.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.82e+03&#949; (Mean = 414&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.15e+04&#949; (Mean = 733&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 469&#949; (Mean = 31.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 118&#949; (Mean = 12.5&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 138&#949; (Mean = 16.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 54.7&#949; (Mean = 6.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.72&#949; (Mean = 1.48&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_q_inv"></a><p class="title"><b>Table&#160;145.&#160;Error rates for gamma_q_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.912&#949; (Mean = 0.154&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 4.66&#949; (Mean = 0.792&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.2&#949; (Mean = 0.627&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.2&#949; (Mean = 0.683&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.88&#949; (Mean = 0.469&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) large values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.894&#949; (Mean = 0.0915&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.894&#949; (Mean = 0.106&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.814&#949; (Mean = 0.0856&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                incomplete gamma inverse(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 292&#949; (Mean = 36.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 415&#949; (Mean = 48.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.28e+03&#949; (Mean = 1.09e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.98e+03&#949; (Mean = 877&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 451&#949; (Mean = 64.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_gamma_q_inva"></a><p class="title"><b>Table&#160;146.&#160;Error rates for gamma_q_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for gamma_q_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Incomplete gamma inverses.
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.42&#949; (Mean = 1.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.86&#949; (Mean = 1.24&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05&#949; (Mean = 1.08&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_hermite"></a><p class="title"><b>Table&#160;147.&#160;Error rates for hermite</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for hermite">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Hermite Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24&#949; (Mean = 2.07&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.46&#949; (Mean = 1.41&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_heuman_lambda"></a><p class="title"><b>Table&#160;148.&#160;Error rates for heuman_lambda</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for heuman_lambda">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.887&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.89&#949; (Mean = 0.887&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.08&#949; (Mean = 0.734&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Heuman Lambda: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.82&#949; (Mean = 0.609&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.82&#949; (Mean = 0.608&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.12&#949; (Mean = 0.588&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibeta"></a><p class="title"><b>Table&#160;149.&#160;Error rates for ibeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 682&#949; (Mean = 32.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 22.9&#949; (Mean = 3.35&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.97&#949; (Mean = 2.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 21.3&#949; (Mean = 2.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.4&#949; (Mean = 1.93&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 690&#949; (Mean = 151&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 232&#949; (Mean = 27.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50&#949; (Mean = 12.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 124&#949; (Mean = 18.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 106&#949; (Mean = 16.3&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.26&#949; (Mean = 0.063&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.9e+05&#949; (Mean = 1.82e+04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibeta_GSL_2_1_Incomplete_Beta_Function_Large_and_Diverse_Values">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 574&#949; (Mean = 49.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96e+04&#949; (Mean = 997&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.98e+04&#949; (Mean = 2.07e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.32e+03&#949; (Mean = 68.5&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 254&#949; (Mean = 50.9&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 62.2&#949; (Mean = 8.95&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.45&#949; (Mean = 0.814&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 44.5&#949; (Mean = 10.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.85&#949; (Mean = 0.791&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibeta_inv"></a><p class="title"><b>Table&#160;150.&#160;Error rates for ibeta_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11&#949; (Mean = 0.345&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.14e+121&#949; (Mean
+                = 3.28e+119&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibeta_inv_Rmath_3_2_3_Inverse_incomplete_beta">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.8e+04&#949; (Mean = 2.66e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.07e+04&#949; (Mean = 2.86e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.59e+03&#949; (Mean = 277&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibeta_inva"></a><p class="title"><b>Table&#160;151.&#160;Error rates for ibeta_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.602&#949; (Mean = 0.0239&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 377&#949; (Mean = 24.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 438&#949; (Mean = 31.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 242&#949; (Mean = 22.9&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibeta_invb"></a><p class="title"><b>Table&#160;152.&#160;Error rates for ibeta_invb</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibeta_invb">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.765&#949; (Mean = 0.0422&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 407&#949; (Mean = 27.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 407&#949; (Mean = 24.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 409&#949; (Mean = 19.3&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibetac"></a><p class="title"><b>Table&#160;153.&#160;Error rates for ibetac</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 22.4&#949; (Mean = 3.67&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.6&#949; (Mean = 2.22&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 13.8&#949; (Mean = 2.68&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.94&#949; (Mean = 1.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Medium Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 204&#949; (Mean = 25.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 73.9&#949; (Mean = 11.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 132&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 56.7&#949; (Mean = 14.3&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Large and Diverse Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.981&#949; (Mean = 0.0573&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 889&#949; (Mean = 68.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.45e+04&#949; (Mean = 1.32e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.31e+04&#949; (Mean = 2.04e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88e+03&#949; (Mean = 82.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Incomplete Beta Function: Small Integer Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 84.6&#949; (Mean = 18&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.34&#949; (Mean = 1.11&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 17.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.37&#949; (Mean = 1.03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibetac_inv"></a><p class="title"><b>Table&#160;154.&#160;Error rates for ibetac_inv</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_inv">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.977&#949; (Mean = 0.0976&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 3.01e+132&#949; (Mean
+                = 8.65e+130&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_ibetac_inv_Rmath_3_2_3_Inverse_incomplete_beta">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.88e+04&#949; (Mean = 3.16e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.05e+04&#949; (Mean = 3.33e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.93e+03&#949; (Mean = 198&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibetac_inva"></a><p class="title"><b>Table&#160;155.&#160;Error rates for ibetac_inva</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_inva">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.683&#949; (Mean = 0.0314&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 382&#949; (Mean = 22.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 315&#949; (Mean = 23.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 408&#949; (Mean = 26.7&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_ibetac_invb"></a><p class="title"><b>Table&#160;156.&#160;Error rates for ibetac_invb</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for ibetac_invb">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Inverse incomplete beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.724&#949; (Mean = 0.0303&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 317&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 369&#949; (Mean = 22.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 271&#949; (Mean = 16.4&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_jacobi_cn"></a><p class="title"><b>Table&#160;157.&#160;Error rates for jacobi_cn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_cn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 17.3&#949; (Mean = 4.29&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 19.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 71.6&#949; (Mean = 19.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 45.8&#949; (Mean = 11.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.816&#949; (Mean = 0.0563&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 2.43&#949; (Mean = 0.803&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.68&#949; (Mean = 0.443&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.68&#949; (Mean = 0.454&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.83&#949; (Mean = 0.455&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 55.2&#949; (Mean = 1.64&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.4&#949; (Mean = 0.594&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.4&#949; (Mean = 0.602&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 26.2&#949; (Mean = 1.17&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.919&#949; (Mean = 0.127&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_cn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 675&#949; (Mean = 87.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 675&#949; (Mean = 86.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 513&#949; (Mean = 126&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.2&#949; (Mean = 0.927&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 5.92e+03&#949; (Mean = 477&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97e+04&#949; (Mean = 1.9e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.97e+04&#949; (Mean = 1.9e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.27e+04&#949; (Mean = 1.93e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_jacobi_dn"></a><p class="title"><b>Table&#160;158.&#160;Error rates for jacobi_dn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_dn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.82&#949; (Mean = 1.18&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 14&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34.3&#949; (Mean = 8.71&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3&#949; (Mean = 0.61&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.473&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.53&#949; (Mean = 0.481&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.52&#949; (Mean = 0.466&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.5&#949; (Mean = 0.0122&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.5&#949; (Mean = 0.391&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 22.4&#949; (Mean = 0.777&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 22.4&#949; (Mean = 0.763&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 16.1&#949; (Mean = 0.685&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.28&#949; (Mean = 0.194&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_dn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.75e+03&#949; (Mean = 293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.75e+03&#949; (Mean = 293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.24e+03&#949; (Mean = 482&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 14.1&#949; (Mean = 0.897&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 121&#949; (Mean = 22&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.82e+04&#949; (Mean = 1.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.82e+04&#949; (Mean = 1.79e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.67e+04&#949; (Mean = 1e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_jacobi_sn"></a><p class="title"><b>Table&#160;159.&#160;Error rates for jacobi_sn</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_sn">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 588&#949; (Mean = 146&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Mathworld_Data">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 341&#949; (Mean = 80.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 341&#949; (Mean = 80.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 481&#949; (Mean = 113&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.02&#949; (Mean = 1.07&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.01&#949; (Mean = 0.584&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.01&#949; (Mean = 0.593&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.92&#949; (Mean = 0.567&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Random Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 11.7&#949; (Mean = 1.65&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Random_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.99&#949; (Mean = 0.347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.11&#949; (Mean = 0.385&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Modulus near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_jacobi_sn_GSL_2_1_Jacobi_Elliptic_Modulus_near_1">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 109&#949; (Mean = 7.35&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 109&#949; (Mean = 7.38&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 23.2&#949; (Mean = 1.85&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Jacobi Elliptic: Large Phi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 12&#949; (Mean = 0.771&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.54e+04&#949; (Mean = 2.63e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45e+04&#949; (Mean = 1.51e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.45e+04&#949; (Mean = 1.51e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.36e+04&#949; (Mean = 2.54e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_jacobi_zeta"></a><p class="title"><b>Table&#160;160.&#160;Error rates for jacobi_zeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for jacobi_zeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Mathworld Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.66&#949; (Mean = 0.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.66&#949; (Mean = 0.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.52&#949; (Mean = 0.357&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.99&#949; (Mean = 0.824&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.96&#949; (Mean = 1.06&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.89&#949; (Mean = 0.824&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Elliptic Integral Jacobi Zeta: Large Phi Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.92&#949; (Mean = 0.951&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.05&#949; (Mean = 1.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.52&#949; (Mean = 0.977&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_laguerre_n_m_x_"></a><p class="title"><b>Table&#160;161.&#160;Error rates for laguerre(n, m, x)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for laguerre(n, m, x)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Associated Laguerre Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.84&#949; (Mean = 0.0358&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 434&#949; (Mean = 10.7&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 6.38&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 206&#949; (Mean = 6.86&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 6.38&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 434&#949; (Mean = 11.1&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_laguerre_n_x_"></a><p class="title"><b>Table&#160;162.&#160;Error rates for laguerre(n, x)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for laguerre(n, x)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Laguerre Polynomials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.82&#949; (Mean = 0.408&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 3.1e+03&#949; (Mean = 185&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39e+04&#949; (Mean = 828&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 4.2e+03&#949; (Mean = 251&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.39e+04&#949; (Mean = 828&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.1e+03&#949; (Mean = 185&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_legendre_p"></a><p class="title"><b>Table&#160;163.&#160;Error rates for legendre_p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.732&#949; (Mean = 0.0619&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 211&#949; (Mean = 20.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 9.58&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 124&#949; (Mean = 13.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 69.2&#949; (Mean = 9.58&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 211&#949; (Mean = 20.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.632&#949; (Mean = 0.0693&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 300&#949; (Mean = 33.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 699&#949; (Mean = 59.6&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 343&#949; (Mean = 32.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 699&#949; (Mean = 59.6&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 300&#949; (Mean = 33.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_legendre_p_associated_"></a><p class="title"><b>Table&#160;164.&#160;Error rates for legendre_p (associated)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_p (associated)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Associated Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.999&#949; (Mean = 0.05&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 121&#949; (Mean = 6.75&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_legendre_p_associated__GSL_2_1_Associated_Legendre_Polynomials_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 175&#949; (Mean = 9.88&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 175&#949; (Mean = 9.36&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_long_double_legendre_p_associated___cmath__Associated_Legendre_Polynomials_Small_Values">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 77.7&#949; (Mean = 5.59&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 121&#949; (Mean = 7.14&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_legendre_q"></a><p class="title"><b>Table&#160;165.&#160;Error rates for legendre_q</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for legendre_q">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Small Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.612&#949; (Mean = 0.0517&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 46.4&#949; (Mean = 7.46&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.9&#949; (Mean = 9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 50.9&#949; (Mean = 8.98&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 46.4&#949; (Mean = 7.32&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Legendre Polynomials: Large Values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.49&#949; (Mean = 0.202&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 4.6e+03&#949; (Mean = 366&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.98e+03&#949; (Mean = 478&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.98e+03&#949; (Mean = 478&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.6e+03&#949; (Mean = 366&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_lgamma"></a><p class="title"><b>Table&#160;166.&#160;Error rates for lgamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for lgamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                factorials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 33.6&#949; (Mean = 2.78&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1.55&#949; (Mean = 0.592&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.308&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.67&#949; (Mean = 0.487&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.67&#949; (Mean = 0.487&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.383&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.36&#949; (Mean = 0.476&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.914&#949; (Mean = 0.175&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.958&#949; (Mean = 0.38&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 5.21&#949; (Mean = 1.57&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.42&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.42&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.964&#949; (Mean = 0.543&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.964&#949; (Mean = 0.462&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.962&#949; (Mean = 0.372&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 442&#949; (Mean = 88.8&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 7.99e+04&#949; (Mean = 1.68e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.948&#949; (Mean = 0.36&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.615&#949; (Mean = 0.096&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.615&#949; (Mean = 0.096&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.948&#949; (Mean = 0.36&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.71&#949; (Mean = 0.581&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.867&#949; (Mean = 0.468&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.906&#949; (Mean = 0.565&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.17e+03&#949; (Mean = 274&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.63e+05&#949; (Mean = 5.84e+04&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.878&#949; (Mean = 0.242&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.741&#949; (Mean = 0.263&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.741&#949; (Mean = 0.263&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.878&#949; (Mean = 0.242&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.598&#949; (Mean = 0.235&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.591&#949; (Mean = 0.159&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.741&#949; (Mean = 0.473&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 24.9&#949; (Mean = 4.6&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 4.22&#949; (Mean = 1.26&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.81&#949; (Mean = 1.01&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.997&#949; (Mean = 0.412&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.997&#949; (Mean = 0.412&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.81&#949; (Mean = 1.01&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.04&#949; (Mean = 1.01&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.22&#949; (Mean = 1.33&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.997&#949; (Mean = 0.444&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -55
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.02&#949; (Mean = 1.47&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 250&#949; (Mean = 60.9&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.821&#949; (Mean = 0.513&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.58&#949; (Mean = 0.672&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.58&#949; (Mean = 0.672&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.59&#949; (Mean = 0.587&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.821&#949; (Mean = 0.674&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.821&#949; (Mean = 0.419&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 249&#949; (Mean = 43.1&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_log1p"></a><p class="title"><b>Table&#160;167.&#160;Error rates for log1p</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for log1p">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Random test data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.818&#949; (Mean = 0.227&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.818&#949; (Mean = 0.227&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.818&#949; (Mean = 0.227&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.153&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 0.846&#949; (Mean = 0.153&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.3&#949; (Mean = 0.66&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.818&#949; (Mean = 0.249&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.509&#949; (Mean = 0.057&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.509&#949; (Mean = 0.057&#949;))
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_beta_CDF"></a><p class="title"><b>Table&#160;168.&#160;Error rates for non central beta CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central beta CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Beta, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0649&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.46e+26&#949; (Mean
+                = 3.5e+24&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 824&#949; (Mean = 27.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 832&#949; (Mean = 38.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 242&#949; (Mean = 31&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Beta, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.18&#949; (Mean = 0.175&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 1.01e+36&#949; (Mean
+                = 1.19e+35&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_Rmath_3_2_3_Non_Central_Beta_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.5e+04&#949; (Mean = 3.78e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.57e+04&#949; (Mean = 4.45e+03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.66e+03&#949; (Mean = 500&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_beta_CDF_complement"></a><p class="title"><b>Table&#160;169.&#160;Error rates for non central beta CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central beta CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Beta, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0936&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 7.5e+97&#949; (Mean
+                = 1.37e+96&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 396&#949; (Mean = 50.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 554&#949; (Mean = 57.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 624&#949; (Mean = 62.7&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Beta, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.986&#949; (Mean = 0.188&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_beta_CDF_complement_Rmath_3_2_3_Non_Central_Beta_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.83e+03&#949; (Mean = 993&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.56e+03&#949; (Mean = 707&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.25e+04&#949; (Mean = 1.49e+03&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_chi_squared_CDF"></a><p class="title"><b>Table&#160;170.&#160;Error rates for non central chi squared CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central chi squared CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.99&#949; (Mean = 0.0544&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 727&#949; (Mean = 121&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 46.5&#949; (Mean = 10.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 115&#949; (Mean = 13.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 48.9&#949; (Mean = 10&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.07&#949; (Mean = 0.102&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 3.27e+08&#949; (Mean
+                = 2.23e+07&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.07e+03&#949; (Mean = 336&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.17e+03&#949; (Mean = 677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+03&#949; (Mean = 723&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_chi_squared_CDF_complement"></a><p class="title"><b>Table&#160;171.&#160;Error rates for non central chi squared CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central chi squared CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, medium parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.96&#949; (Mean = 0.0635&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_medium_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 107&#949; (Mean = 17.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 171&#949; (Mean = 22.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 98.6&#949; (Mean = 15.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central Chi Squared, large parameters
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.11&#949; (Mean = 0.278&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = +INF&#949; (Mean
+                = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_chi_squared_CDF_complement_Rmath_3_2_3_Non_Central_Chi_Squared_large_parameters">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.02e+03&#949; (Mean = 630&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.1e+03&#949; (Mean = 577&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.43e+03&#949; (Mean = 705&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_t_CDF"></a><p class="title"><b>Table&#160;172.&#160;Error rates for non central t CDF</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central t CDF">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central T
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.796&#949; (Mean = 0.0691&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 5.28e+15&#949; (Mean
+                = 8.49e+14&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_Rmath_3_2_3_Non_Central_T">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 139&#949; (Mean = 31&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 145&#949; (Mean = 30.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 135&#949; (Mean = 32.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (small non-centrality)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 2.09e+03&#949; (Mean = 244&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.86&#949; (Mean = 1.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.15&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.17&#949; (Mean = 1.45&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (large parameters)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 257&#949; (Mean = 72.1&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.46&#949; (Mean = 0.657&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.26e+05&#949; (Mean = 1.48e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.24e+05&#949; (Mean = 1.47e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 286&#949; (Mean = 62.8&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_non_central_t_CDF_complement"></a><p class="title"><b>Table&#160;173.&#160;Error rates for non central t CDF complement</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for non central t CDF complement">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Non Central T
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.707&#949; (Mean = 0.0497&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> <span class="red">Max = 6.19e+15&#949; (Mean
+                = 6.72e+14&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_non_central_t_CDF_complement_Rmath_3_2_3_Non_Central_T">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 201&#949; (Mean = 31.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 340&#949; (Mean = 43.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 154&#949; (Mean = 32.1&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (small non-centrality)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 1.87e+03&#949; (Mean = 263&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.5&#949; (Mean = 2.13&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 10.5&#949; (Mean = 2.39&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.6&#949; (Mean = 1.63&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Non Central T (large parameters)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 478&#949; (Mean = 96.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 2.24&#949; (Mean = 0.945&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+05&#949; (Mean = 1.97e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.79e+05&#949; (Mean = 1.97e+05&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 227&#949; (Mean = 50.4&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_owens_t"></a><p class="title"><b>Table&#160;174.&#160;Error rates for owens_t</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for owens_t">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Owens T (medium small values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.34&#949; (Mean = 0.944&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.34&#949; (Mean = 0.911&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.37&#949; (Mean = 0.98&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Owens T (large and diverse values)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 49&#949; (Mean = 2.16&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 24.5&#949; (Mean = 1.39&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.78&#949; (Mean = 0.621&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_polygamma"></a><p class="title"><b>Table&#160;175.&#160;Error rates for polygamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for polygamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Mathematica Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.824&#949; (Mean = 0.0574&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 62.9&#949; (Mean = 12.8&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 108&#949; (Mean = 15.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.38&#949; (Mean = 1.84&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 34.3&#949; (Mean = 7.65&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9.32&#949; (Mean = 1.95&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - large arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.0592&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 244&#949; (Mean = 32.8&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = 1.71e+56&#949; (Mean = 1.01e+55&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_arguments">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.23&#949; (Mean = 0.323&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 11.1&#949; (Mean = 0.848&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 150&#949; (Mean = 13.9&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - negative arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.516&#949; (Mean = 0.022&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 36.6&#949; (Mean = 3.04&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_negative_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_negative_arguments">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 269&#949; (Mean = 87.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 269&#949; (Mean = 88.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 497&#949; (Mean = 129&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - large negative arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.79&#949; (Mean = 0.197&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_large_negative_arguments">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 0&#949; (Mean = 0&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_large_negative_arguments">And
+                other failures.</a>)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 155&#949; (Mean = 96.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 155&#949; (Mean = 96.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 162&#949; (Mean = 101&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - small arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 15.2&#949; (Mean = 5.03&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 106&#949; (Mean = 20&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.33&#949; (Mean = 0.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.33&#949; (Mean = 0.75&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3&#949; (Mean = 0.496&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Mathematica Data - Large orders and other bug cases
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 151&#949; (Mean = 39.3&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_GSL_2_1_Mathematica_Data_Large_orders_and_other_bug_cases">And
+                other failures.</a>)<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                <span class="red">Max = +INF&#949; (Mean = +INF&#949;) <a class="link" href="index.html#errors_GNU_C_version_7_1_0_linux_double_polygamma_Rmath_3_2_3_Mathematica_Data_Large_orders_and_other_bug_cases">And
+                other failures.</a>)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 54.5&#949; (Mean = 13.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 145&#949; (Mean = 55.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 200&#949; (Mean = 57.2&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_powm1"></a><p class="title"><b>Table&#160;176.&#160;Error rates for powm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for powm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                powm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.06&#949; (Mean = 0.425&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.04&#949; (Mean = 0.493&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.88&#949; (Mean = 0.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.84&#949; (Mean = 0.486&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sin_pi"></a><p class="title"><b>Table&#160;177.&#160;Error rates for sin_pi</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sin_pi">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.335&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.336&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.99&#949; (Mean = 0.328&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sin_pi and cos_pi near integers and half integers
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.996&#949; (Mean = 0.343&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sph_bessel"></a><p class="title"><b>Table&#160;178.&#160;Error rates for sph_bessel</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_bessel">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Bessel j: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 13.3&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.91e+06&#949; (Mean = 1.09e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.978&#949; (Mean = 0.0445&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.79e+03&#949; (Mean = 107&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 243&#949; (Mean = 33.7&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 245&#949; (Mean = 16.3&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sph_bessel_prime"></a><p class="title"><b>Table&#160;179.&#160;Error rates for sph_bessel_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_bessel_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Bessel j': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.753&#949; (Mean = 0.0343&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 12&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 167&#949; (Mean = 33.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 307&#949; (Mean = 25.2&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sph_neumann"></a><p class="title"><b>Table&#160;180.&#160;Error rates for sph_neumann</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_neumann">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                y: Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 234&#949; (Mean = 19.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.6e+06&#949; (Mean = 1.4e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.0665&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 8.5e+04&#949; (Mean = 5.33e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 234&#949; (Mean = 19.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 281&#949; (Mean = 31.1&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sph_neumann_prime"></a><p class="title"><b>Table&#160;181.&#160;Error rates for sph_neumann_prime</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sph_neumann_prime">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                y': Random Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.988&#949; (Mean = 0.0869&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 158&#949; (Mean = 18.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 158&#949; (Mean = 20.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 296&#949; (Mean = 25.6&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_spherical_harmonic_i"></a><p class="title"><b>Table&#160;182.&#160;Error rates for spherical_harmonic_i</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for spherical_harmonic_i">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Spherical Harmonics
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.36&#949; (Mean = 0.0765&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 108&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03e+04&#949; (Mean = 327&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.27e+04&#949; (Mean = 725&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_spherical_harmonic_r"></a><p class="title"><b>Table&#160;183.&#160;Error rates for spherical_harmonic_r</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for spherical_harmonic_r">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Spherical Harmonics
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.58&#949; (Mean = 0.0707&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.89e+03&#949; (Mean = 108&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.03e+04&#949; (Mean = 327&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.27e+04&#949; (Mean = 725&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_sqrt1pm1"></a><p class="title"><b>Table&#160;184.&#160;Error rates for sqrt1pm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for sqrt1pm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                sqrt1pm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.3&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.33&#949; (Mean = 0.404&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.54&#949; (Mean = 0.563&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.35&#949; (Mean = 0.497&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma"></a><p class="title"><b>Table&#160;185.&#160;Error rates for tgamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                factorials
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.95&#949; (Mean = 0.783&#949;))<br> (<span class="emphasis"><em>Rmath
+                3.2.3:</em></span> Max = 314&#949; (Mean = 93.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.67&#949; (Mean = 0.617&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.66&#949; (Mean = 0.584&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.66&#949; (Mean = 0.584&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 172&#949; (Mean = 41&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.85&#949; (Mean = 0.566&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.17&#949; (Mean = 0.928&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 0
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.51&#949; (Mean = 1.92&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.335&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.608&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 1&#949; (Mean = 0.376&#949;))<br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 1&#949; (Mean = 0.376&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.647&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0.5&#949; (Mean = 0.0791&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.5&#949; (Mean = 0.635&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.405&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 4.41&#949; (Mean = 1.81&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.32&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.51&#949; (Mean = 1.02&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.918&#949; (Mean = 0.203&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.918&#949; (Mean = 0.203&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.01&#949; (Mean = 1.06&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.175&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.1&#949; (Mean = 0.59&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1&#949; (Mean = 0.4&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.95&#949; (Mean = 3.12&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 1&#949; (Mean = 0.191&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.1&#949; (Mean = 1.55&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 0.558&#949; (Mean = 0.298&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.558&#949; (Mean = 0.298&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.01&#949; (Mean = 1.89&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2&#949; (Mean = 0.733&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;math.h&gt;:</em></span>
+                Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 2.6&#949; (Mean = 1.05&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 34.9&#949; (Mean = 9.2&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.75&#949; (Mean = 0.895&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 2.26&#949; (Mean = 1.08&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 2.26&#949; (Mean = 1.08&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.75&#949; (Mean = 0.819&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.86&#949; (Mean = 0.881&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0.866&#949; (Mean = 0.445&#949;))
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                near -55
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 1.8&#949; (Mean = 0.782&#949;))<br> (<span class="emphasis"><em>Rmath 3.2.3:</em></span>
+                Max = 3.89e+04&#949; (Mean = 9.52e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.69&#949; (Mean = 1.09&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.79&#949; (Mean = 0.75&#949;))<br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 1.79&#949; (Mean = 0.75&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 98.5&#949; (Mean = 53.4&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.7&#949; (Mean = 1.35&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;math.h&gt;:</em></span> Max = 3.87e+04&#949; (Mean = 6.71e+03&#949;))
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma1pm1"></a><p class="title"><b>Table&#160;186.&#160;Error rates for tgamma1pm1</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma1pm1">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                tgamma1pm1(dz)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.12&#949; (Mean = 0.49&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.61&#949; (Mean = 0.84&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.31&#949; (Mean = 0.517&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma_delta_ratio"></a><p class="title"><b>Table&#160;187.&#160;Error rates for tgamma_delta_ratio</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_delta_ratio">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma + small delta ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.83&#949; (Mean = 1.3&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 15.4&#949; (Mean = 2.09&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.56&#949; (Mean = 1.31&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small delta ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.94&#949; (Mean = 1.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 18.3&#949; (Mean = 2.03&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.43&#949; (Mean = 1.42&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small integer ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.96&#949; (Mean = 0.677&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.74&#949; (Mean = 0.736&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma + small integer ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.451&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.62&#949; (Mean = 0.451&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.15&#949; (Mean = 0.685&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                integer tgamma ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.997&#949; (Mean = 0.4&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.968&#949; (Mean = 0.386&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                integer tgamma ratios (negative delta)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.853&#949; (Mean = 0.176&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.853&#949; (Mean = 0.176&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.974&#949; (Mean = 0.175&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma_incomplete_"></a><p class="title"><b>Table&#160;188.&#160;Error rates for tgamma (incomplete)</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma (incomplete)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 200&#949; (Mean = 13.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.47&#949; (Mean = 1.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 412&#949; (Mean = 95.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 8.14&#949; (Mean = 1.76&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.753&#949; (Mean = 0.0474&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> <span class="red">Max = 1.38e+10&#949; (Mean
+                = 1.05e+09&#949;))</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.31&#949; (Mean = 0.775&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.13&#949; (Mean = 0.717&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.53&#949; (Mean = 0.66&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 117&#949; (Mean = 12.5&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.52&#949; (Mean = 1.48&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 79.6&#949; (Mean = 20.9&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.16&#949; (Mean = 1.33&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma_lower"></a><p class="title"><b>Table&#160;189.&#160;Error rates for tgamma_lower</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_lower">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) medium values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.833&#949; (Mean = 0.0315&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 0.833&#949; (Mean = 0.0315&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.79&#949; (Mean = 1.46&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 363&#949; (Mean = 63.8&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 5.62&#949; (Mean = 1.49&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) small values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.555&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.97&#949; (Mean = 0.558&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.57&#949; (Mean = 0.525&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma(a, z) integer and half integer values
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0&#949; (Mean = 0&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 4.83&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 84.7&#949; (Mean = 17.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.69&#949; (Mean = 0.849&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_tgamma_ratio"></a><p class="title"><b>Table&#160;190.&#160;Error rates for tgamma_ratio</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for tgamma_ratio">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                tgamma ratios
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.694&#949; (Mean = 0.0347&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 2.99&#949; (Mean = 1.15&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 174&#949; (Mean = 61.2&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 3.28&#949; (Mean = 1.12&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_trigamma"></a><p class="title"><b>Table&#160;191.&#160;Error rates for trigamma</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for trigamma">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody><tr>
+<td>
+              <p>
+                Mathematica Data
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.105&#949;)</span><br> <br>
+                (<span class="emphasis"><em>GSL 2.1:</em></span> Max = 1.34e+04&#949; (Mean = 1.49e+03&#949;))<br>
+                (<span class="emphasis"><em>Rmath 3.2.3:</em></span> Max = 1.34e+04&#949; (Mean = 1.51e+03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.28&#949; (Mean = 0.449&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1.28&#949; (Mean = 0.449&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 1&#949; (Mean = 0.382&#949;)</span>
+              </p>
+            </td>
+</tr></tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="special_function_error_rates_rep.all_the_tables.table_zeta"></a><p class="title"><b>Table&#160;192.&#160;Error rates for zeta</b></p>
+<div class="table-contents"><table class="table" summary="Error rates for zeta">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 7.1.0<br> linux<br> double
+              </p>
+            </th>
+<th>
+              <p>
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Zeta: Random values greater than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.0833&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 5.45&#949; (Mean = 1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 8.69&#949; (Mean = 1.03&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.846&#949; (Mean = 0.0833&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.836&#949; (Mean = 0.093&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Random values less than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 7.03&#949; (Mean = 2.93&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 538&#949; (Mean = 59.3&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 137&#949; (Mean = 13.8&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 70.1&#949; (Mean = 17.1&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 6.84&#949; (Mean = 3.12&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Values close to and greater than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.5&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 1.9e+06&#949; (Mean = 5.11e+05&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 7.73&#949; (Mean = 4.07&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.995&#949; (Mean = 0.5&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.994&#949; (Mean = 0.421&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Values close to and less than 1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.508&#949;)</span><br> <br>
+                (<span class="emphasis"><em>&lt;cmath&gt;:</em></span> Max = 8.53e+06&#949; (Mean = 1.87e+06&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 0.991&#949; (Mean = 0.28&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.998&#949; (Mean = 0.508&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0.991&#949; (Mean = 0.375&#949;)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Zeta: Integer arguments
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9&#949; (Mean = 3.06&#949;)</span><br> <br> (<span class="emphasis"><em>&lt;cmath&gt;:</em></span>
+                Max = 70.3&#949; (Mean = 17.4&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span><br> <br> (<span class="emphasis"><em>GSL
+                2.1:</em></span> Max = 3.75&#949; (Mean = 1.1&#949;))
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 28&#949; (Mean = 5.62&#949;)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">Max = 9&#949; (Mean = 3&#949;)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"><p><small>Last revised: March 09, 2018 at 13:43:44 GMT</small></p></td>
+<td align="right"><div class="copyright-footer"></div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav"></div>
+</body>
+</html>
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_i.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_i.cpp
new file mode 100644
index 00000000..877dc977
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_i.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_bessel_i.hpp"
+#include <boost/math/special_functions/bessel.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_i_prime.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_i_prime.cpp
new file mode 100644
index 00000000..70a454d4
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_i_prime.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_bessel_i_prime.hpp"
+#include <boost/math/special_functions/bessel_prime.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_j.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_j.cpp
new file mode 100644
index 00000000..dd4cef2b
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_j.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_bessel_j.hpp"
+#include <boost/math/special_functions/bessel.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_j_prime.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_j_prime.cpp
new file mode 100644
index 00000000..b39020cb
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_j_prime.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_bessel_j_prime.hpp"
+#include <boost/math/special_functions/bessel_prime.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel_prime(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel_prime(0.0f, "float");
+   if(test_double)
+      test_bessel_prime(0.0, "double");
+   if(test_long_double)
+      test_bessel_prime(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel_prime(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_k.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_k.cpp
new file mode 100644
index 00000000..010555d6
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_k.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_bessel_k.hpp"
+#include <boost/math/special_functions/bessel.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_k_prime.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_k_prime.cpp
new file mode 100644
index 00000000..7678b56a
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_k_prime.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_bessel_k_prime.hpp"
+#include <boost/math/special_functions/bessel_prime.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_y.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_y.cpp
new file mode 100644
index 00000000..684a1bb5
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_y.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_bessel_y.hpp"
+#include <boost/math/special_functions/bessel.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel(0.0f, "float");
+   if(test_double)
+      test_bessel(0.0, "double");
+   if(test_long_double)
+      test_bessel(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_bessel_y_prime.cpp b/src/boost/libs/math/reporting/accuracy/test_bessel_y_prime.cpp
new file mode 100644
index 00000000..eff8b8bf
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_bessel_y_prime.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_bessel_y_prime.hpp"
+#include <boost/math/special_functions/bessel_prime.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_bessel_prime(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_bessel_prime(0.0f, "float");
+   if(test_double)
+      test_bessel_prime(0.0, "double");
+   if(test_long_double)
+      test_bessel_prime(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_bessel_prime(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_beta.cpp b/src/boost/libs/math/reporting/accuracy/test_beta.cpp
new file mode 100644
index 00000000..7c9dbb1a
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_beta.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_beta.hpp"
+#include <boost/math/special_functions/beta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_beta(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_beta(0.0f, "float");
+   if(test_double)
+      test_beta(0.0, "double");
+   if(test_long_double)
+      test_beta(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_beta(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_binomial_coeff.cpp b/src/boost/libs/math/reporting/accuracy/test_binomial_coeff.cpp
new file mode 100644
index 00000000..cd79e9c8
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_binomial_coeff.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_binomial_coeff.hpp"
+#include <boost/math/special_functions/binomial.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_binomial(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_binomial(0.0f, "float");
+   if(test_double)
+      test_binomial(0.0, "double");
+   if(test_long_double)
+      test_binomial(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_binomial(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_carlson.cpp b/src/boost/libs/math/reporting/accuracy/test_carlson.cpp
new file mode 100644
index 00000000..3a23a6fc
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_carlson.cpp
@@ -0,0 +1,67 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_carlson.hpp"
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_cbrt.cpp b/src/boost/libs/math/reporting/accuracy/test_cbrt.cpp
new file mode 100644
index 00000000..35108c3e
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_cbrt.cpp
@@ -0,0 +1,66 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/cbrt.hpp>
+#include "bindings.hpp"
+#include "../../test/test_cbrt.hpp"
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_cbrt(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_cbrt(0.0f, "float");
+   if(test_double)
+      test_cbrt(0.0, "double");
+   if(test_long_double)
+      test_cbrt(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_cbrt(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_digamma.cpp b/src/boost/libs/math/reporting/accuracy/test_digamma.cpp
new file mode 100644
index 00000000..a211bc66
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_digamma.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_digamma.hpp"
+#include <boost/math/special_functions/digamma.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_digamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_digamma(0.0f, "float");
+   if(test_double)
+      test_digamma(0.0, "double");
+   if(test_long_double)
+      test_digamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_digamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ellint_1.cpp b/src/boost/libs/math/reporting/accuracy/test_ellint_1.cpp
new file mode 100644
index 00000000..ab19f272
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ellint_1.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ellint_1.hpp"
+#include <boost/math/special_functions/ellint_1.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ellint_2.cpp b/src/boost/libs/math/reporting/accuracy/test_ellint_2.cpp
new file mode 100644
index 00000000..27b3f217
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ellint_2.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ellint_2.hpp"
+#include <boost/math/special_functions/ellint_2.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ellint_3.cpp b/src/boost/libs/math/reporting/accuracy/test_ellint_3.cpp
new file mode 100644
index 00000000..cfc5e98f
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ellint_3.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ellint_3.hpp"
+#include <boost/math/special_functions/ellint_3.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ellint_d.cpp b/src/boost/libs/math/reporting/accuracy/test_ellint_d.cpp
new file mode 100644
index 00000000..d06d0390
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ellint_d.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ellint_d.hpp"
+#include <boost/math/special_functions/ellint_d.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_erf.cpp b/src/boost/libs/math/reporting/accuracy/test_erf.cpp
new file mode 100644
index 00000000..6edd6119
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_erf.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/erf.hpp>
+#include "bindings.hpp"
+#include "../../test/test_erf.hpp"
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_erf(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_erf(0.0f, "float");
+   if(test_double)
+      test_erf(0.0, "double");
+   if(test_long_double)
+      test_erf(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_erf(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_expint.cpp b/src/boost/libs/math/reporting/accuracy/test_expint.cpp
new file mode 100644
index 00000000..adc3c406
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_expint.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_expint.hpp"
+#include <boost/math/special_functions/expint.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_expint(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_expint(0.0f, "float");
+   if(test_double)
+      test_expint(0.0, "double");
+   if(test_long_double)
+      test_expint(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_expint(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_gamma.cpp b/src/boost/libs/math/reporting/accuracy/test_gamma.cpp
new file mode 100644
index 00000000..f7dbb3cb
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_gamma.cpp
@@ -0,0 +1,66 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "bindings.hpp"
+#include "../../test/test_gamma.hpp"
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_gamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_gamma(0.0f, "float");
+   if(test_double)
+      test_gamma(0.0, "double");
+   if(test_long_double)
+      test_gamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_cbrt(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_hermite.cpp b/src/boost/libs/math/reporting/accuracy/test_hermite.cpp
new file mode 100644
index 00000000..9c7c6d20
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_hermite.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_hermite.hpp"
+#include <boost/math/special_functions/hermite.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_hermite(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_hermite(0.0f, "float");
+   if(test_double)
+      test_hermite(0.0, "double");
+   if(test_long_double)
+      test_hermite(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_hermite(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_heuman_lambda.cpp b/src/boost/libs/math/reporting/accuracy/test_heuman_lambda.cpp
new file mode 100644
index 00000000..64a61a7b
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_heuman_lambda.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_heuman_lambda.hpp"
+#include <boost/math/special_functions/heuman_lambda.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ibeta.cpp b/src/boost/libs/math/reporting/accuracy/test_ibeta.cpp
new file mode 100644
index 00000000..285049d4
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ibeta.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ibeta.hpp"
+#include <boost/math/special_functions/beta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_beta(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_beta(0.0f, "float");
+   if(test_double)
+      test_beta(0.0, "double");
+   if(test_long_double)
+      test_beta(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_beta(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ibeta_inv.cpp b/src/boost/libs/math/reporting/accuracy/test_ibeta_inv.cpp
new file mode 100644
index 00000000..6abe55be
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ibeta_inv.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ibeta_inv.hpp"
+#include <boost/math/special_functions/beta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_beta(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_beta(0.0f, "float");
+   if(test_double)
+      test_beta(0.0, "double");
+   if(test_long_double)
+      test_beta(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_beta(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_ibeta_inva.cpp b/src/boost/libs/math/reporting/accuracy/test_ibeta_inva.cpp
new file mode 100644
index 00000000..ff2f290b
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_ibeta_inva.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_ibeta_inv_ab.hpp"
+#include <boost/math/special_functions/beta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_beta(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_beta(0.0f, "float");
+   if(test_double)
+      test_beta(0.0, "double");
+   if(test_long_double)
+      test_beta(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_beta(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_igamma.cpp b/src/boost/libs/math/reporting/accuracy/test_igamma.cpp
new file mode 100644
index 00000000..c4a4efcc
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_igamma.cpp
@@ -0,0 +1,61 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_igamma.hpp"
+#include <boost/math/special_functions/gamma.hpp>
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_gamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_gamma(0.0f, "float");
+   if(test_double)
+      test_gamma(0.0, "double");
+   if(test_long_double)
+      test_gamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_gamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_igamma_inv.cpp b/src/boost/libs/math/reporting/accuracy/test_igamma_inv.cpp
new file mode 100644
index 00000000..aa96cd34
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_igamma_inv.cpp
@@ -0,0 +1,61 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_igamma_inv.hpp"
+#include <boost/math/special_functions/gamma.hpp>
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_gamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_gamma(0.0f, "float");
+   if(test_double)
+      test_gamma(0.0, "double");
+   if(test_long_double)
+      test_gamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_gamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_igamma_inva.cpp b/src/boost/libs/math/reporting/accuracy/test_igamma_inva.cpp
new file mode 100644
index 00000000..125b2141
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_igamma_inva.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_igamma_inva.hpp"
+#include <boost/math/special_functions/gamma.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_gamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_gamma(0.0f, "float");
+   if(test_double)
+      test_gamma(0.0, "double");
+   if(test_long_double)
+      test_gamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_gamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_jacobi.cpp b/src/boost/libs/math/reporting/accuracy/test_jacobi.cpp
new file mode 100644
index 00000000..4c9650ae
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_jacobi.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_jacobi.hpp"
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_jacobi_zeta.cpp b/src/boost/libs/math/reporting/accuracy/test_jacobi_zeta.cpp
new file mode 100644
index 00000000..7e31f1e5
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_jacobi_zeta.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_jacobi_zeta.hpp"
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spots(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spots(0.0f, "float");
+   if(test_double)
+      test_spots(0.0, "double");
+   if(test_long_double)
+      test_spots(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spots(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_laguerre.cpp b/src/boost/libs/math/reporting/accuracy/test_laguerre.cpp
new file mode 100644
index 00000000..b59891bb
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_laguerre.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_laguerre.hpp"
+#include <boost/math/special_functions/laguerre.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_laguerre(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_laguerre(0.0f, "float");
+   if(test_double)
+      test_laguerre(0.0, "double");
+   if(test_long_double)
+      test_laguerre(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_laguerre(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_legendre.cpp b/src/boost/libs/math/reporting/accuracy/test_legendre.cpp
new file mode 100644
index 00000000..4b080fb0
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_legendre.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_legendre.hpp"
+#include <boost/math/special_functions/legendre.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_legendre_p(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_legendre_p(0.0f, "float");
+   if(test_double)
+      test_legendre_p(0.0, "double");
+   if(test_long_double)
+      test_legendre_p(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_legendre_p(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_log1p_expm1.cpp b/src/boost/libs/math/reporting/accuracy/test_log1p_expm1.cpp
new file mode 100644
index 00000000..24016e38
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_log1p_expm1.cpp
@@ -0,0 +1,67 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/log1p_expm1_test.hpp"
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test(0.0f, "float");
+   if(test_double)
+      test(0.0, "double");
+   if(test_long_double)
+      test(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_nc_beta.cpp b/src/boost/libs/math/reporting/accuracy/test_nc_beta.cpp
new file mode 100644
index 00000000..6a23b923
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_nc_beta.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_nc_beta.hpp"
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_accuracy(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_accuracy(0.0f, "float");
+   if(test_double)
+      test_accuracy(0.0, "double");
+   if(test_long_double)
+      test_accuracy(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_accuracy(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_nc_chi_squared.cpp b/src/boost/libs/math/reporting/accuracy/test_nc_chi_squared.cpp
new file mode 100644
index 00000000..03e22644
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_nc_chi_squared.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_nc_chi_squared.hpp"
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_accuracy(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_accuracy(0.0f, "float");
+   if(test_double)
+      test_accuracy(0.0, "double");
+   if(test_long_double)
+      test_accuracy(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_accuracy(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_nc_t.cpp b/src/boost/libs/math/reporting/accuracy/test_nc_t.cpp
new file mode 100644
index 00000000..cf6be89a
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_nc_t.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include "bindings.hpp"
+#include "../../test/test_nc_t.hpp"
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_accuracy(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_accuracy(0.0f, "float");
+   if(test_double)
+      test_accuracy(0.0, "double");
+   if(test_long_double)
+      test_accuracy(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_accuracy(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_owens_t.cpp b/src/boost/libs/math/reporting/accuracy/test_owens_t.cpp
new file mode 100644
index 00000000..4aa790ca
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_owens_t.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include "bindings.hpp"
+#include "../../test/test_owens_t.hpp"
+#include <boost/math/special_functions/owens_t.hpp> // for owens_t function.
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_owens_t(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_owens_t(0.0f, "float");
+   if(test_double)
+      test_owens_t(0.0, "double");
+   if(test_long_double)
+      test_owens_t(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_owens_t(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_polygamma.cpp b/src/boost/libs/math/reporting/accuracy/test_polygamma.cpp
new file mode 100644
index 00000000..e0447fe3
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_polygamma.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_polygamma.hpp"
+#include <boost/math/special_functions/polygamma.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_polygamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_polygamma(0.0f, "float");
+   if(test_double)
+      test_polygamma(0.0, "double");
+   if(test_long_double)
+      test_polygamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_polygamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_powm1.cpp b/src/boost/libs/math/reporting/accuracy/test_powm1.cpp
new file mode 100644
index 00000000..378a11d3
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_powm1.cpp
@@ -0,0 +1,66 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include "bindings.hpp"
+#include "../../test/powm1_sqrtp1m1_test.hpp"
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_powm1_sqrtp1m1(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_powm1_sqrtp1m1(0.0f, "float");
+   if(test_double)
+      test_powm1_sqrtp1m1(0.0, "double");
+   if(test_long_double)
+      test_powm1_sqrtp1m1(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_powm1_sqrtp1m1(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_spherical_harmonic.cpp b/src/boost/libs/math/reporting/accuracy/test_spherical_harmonic.cpp
new file mode 100644
index 00000000..fa1ebef4
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_spherical_harmonic.cpp
@@ -0,0 +1,65 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_spherical_harmonic.hpp"
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_spherical_harmonic(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_spherical_harmonic(0.0f, "float");
+   if(test_double)
+      test_spherical_harmonic(0.0, "double");
+   if(test_long_double)
+      test_spherical_harmonic(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_spherical_harmonic(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_tgamma_ratio.cpp b/src/boost/libs/math/reporting/accuracy/test_tgamma_ratio.cpp
new file mode 100644
index 00000000..19673b37
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_tgamma_ratio.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_tgamma_ratio.hpp"
+#include <boost/math/special_functions/gamma.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_tgamma_ratio(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_tgamma_ratio(0.0f, "float");
+   if(test_double)
+      test_tgamma_ratio(0.0, "double");
+   if(test_long_double)
+      test_tgamma_ratio(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_tgamma_ratio(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_trig.cpp b/src/boost/libs/math/reporting/accuracy/test_trig.cpp
new file mode 100644
index 00000000..f5095179
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_trig.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_trig.hpp"
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_trig(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_trig(0.0f, "float");
+   if(test_double)
+      test_trig(0.0, "double");
+   if(test_long_double)
+      test_trig(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_trig(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_trigamma.cpp b/src/boost/libs/math/reporting/accuracy/test_trigamma.cpp
new file mode 100644
index 00000000..33a2d063
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_trigamma.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_trigamma.hpp"
+#include <boost/math/special_functions/trigamma.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_trigamma(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_trigamma(0.0f, "float");
+   if(test_double)
+      test_trigamma(0.0, "double");
+   if(test_long_double)
+      test_trigamma(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_trigamma(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/test_zeta.cpp b/src/boost/libs/math/reporting/accuracy/test_zeta.cpp
new file mode 100644
index 00000000..619d4350
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/test_zeta.cpp
@@ -0,0 +1,63 @@
+//  Copyright John Maddock 2006-15.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "bindings.hpp"
+#include "../../test/test_zeta.hpp"
+#include <boost/math/special_functions/zeta.hpp>
+
+BOOST_AUTO_TEST_CASE_EXPECTED_FAILURES(test_main, 10000);
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   BOOST_MATH_CONTROL_FP;
+
+   error_stream_replacer rep;
+
+#ifdef TYPE_TO_TEST
+
+   test_zeta(static_cast<TYPE_TO_TEST>(0), NAME_OF_TYPE_TO_TEST);
+
+#else
+   bool test_float = false;
+   bool test_double = false;
+   bool test_long_double = false;
+
+   if(std::numeric_limits<long double>::digits == std::numeric_limits<double>::digits)
+   {
+      //
+      // Don't bother with long double, it's the same as double:
+      //
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      test_double = true;
+   }
+   else
+   {
+      if(BOOST_MATH_PROMOTE_FLOAT_POLICY == false)
+         test_float = true;
+      if(BOOST_MATH_PROMOTE_DOUBLE_POLICY == false)
+         test_double = true;
+      test_long_double = true;
+   }
+
+#ifdef ALWAYS_TEST_DOUBLE
+   test_double = true;
+#endif
+
+   if(test_float)
+      test_zeta(0.0f, "float");
+   if(test_double)
+      test_zeta(0.0, "double");
+   if(test_long_double)
+      test_zeta(0.0L, "long double");
+#ifdef BOOST_MATH_USE_FLOAT128
+   //test_zeta(0.0Q, "__float128");
+#endif
+
+
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/accuracy/third_party/cephes_double/readme.txt b/src/boost/libs/math/reporting/accuracy/third_party/cephes_double/readme.txt
new file mode 100644
index 00000000..f5f49d0b
--- /dev/null
+++ b/src/boost/libs/math/reporting/accuracy/third_party/cephes_double/readme.txt
@@ -0,0 +1,7 @@
+Place the source for the Cephes double precision library here if you want bjam to 
+build and test it when reporting accuracy results.
+
+Copyright 2015 John Maddock and Paul A. Bristow.
+Distributed under the Boost Software License, Version 1.0.
+(See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
diff --git a/src/boost/libs/math/reporting/performance/Jamfile.v2 b/src/boost/libs/math/reporting/performance/Jamfile.v2
new file mode 100644
index 00000000..42ff1019
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/Jamfile.v2
@@ -0,0 +1,188 @@
+# Copyright Daryle Walker, Hubert Holin, John Maddock 2006 - 2007
+# copyright Paul A. Bristow 2006 - 2010
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\test\jamfile.v2
+# Runs all math toolkit tests, functions & distributions,
+# and build math examples.
+
+# bring in the rules for testing
+import testing ;
+import modules ;
+import path ;
+import pch ;
+import ../../../config/checks/config : requires ;
+using quickbook ;
+using auto-index ;
+
+import ../../../predef/check/predef
+    : check require
+    : predef-check predef-require ;
+
+project
+    : requirements
+      <include>../../include_private
+    ;
+
+if $(is_unix)
+{
+	local osname = [ SHELL uname ] ;
+
+	switch $(osname)
+	{
+		case "Sun*" : OTHERFLAGS = "-lpthread -lrt" ;
+		case "*BSD*" : OTHERFLAGS = "-lpthread" ;
+	}
+}
+
+#
+# Configuration first:
+#
+lib gsl ;
+lib gslcblas ;
+lib Rmath ;
+obj has_libstdcxx_tr1 : has_libstdcxx_tr1.cpp ;
+explicit has_libstdcxx_tr1 ;
+obj has_c99_cmath : has_c99_cmath.cpp ;
+explicit has_c99_cmath ;
+exe has_gsl : has_gsl.cpp gsl gslcblas ;
+explicit has_gsl ;
+exe has_rmath : has_rmath.cpp Rmath ;
+explicit has_rmath ;
+obj is_intel_win : is_intel_win.cpp ;
+explicit is_intel_win ;
+
+CEPHES_SOURCE = acosh.c airy.c asin.c asinh.c atan.c atanh.c bdtr.c beta.c 
+btdtr.c cbrt.c chbevl.c chdtr.c clog.c cmplx.c const.c 
+cosh.c dawsn.c drand.c ei.c ellie.c ellik.c ellpe.c ellpj.c ellpk.c 
+exp.c exp10.c exp2.c expn.c expx2.c fabs.c fac.c fdtr.c 
+fresnl.c gamma.c gdtr.c hyp2f1.c hyperg.c i0.c i1.c igami.c incbet.c 
+incbi.c igam.c isnan.c iv.c j0.c j1.c jn.c jv.c k0.c k1.c kn.c kolmogorov.c 
+log.c log2.c log10.c lrand.c nbdtr.c ndtr.c ndtri.c pdtr.c planck.c 
+polevl.c polmisc.c polylog.c polyn.c pow.c powi.c psi.c rgamma.c round.c 
+shichi.c sici.c sin.c sindg.c sinh.c spence.c stdtr.c struve.c 
+tan.c tandg.c tanh.c unity.c yn.c zeta.c zetac.c 
+sqrt.c floor.c setprec.c mtherr.c ;
+
+DCDFLIB_SOURCE = dcdflib.c ipmpar.c ;
+
+path-constant here : . ;
+make $(here)/third_party/cephes_double/acosh.c : : @check_exists ;
+make $(here)/third_party/dcdflib/dcdflib.c : : @check_exists ;
+actions check_exists
+{
+    stat $(<)
+}
+explicit $(here)/third_party/cephes_double/acosh.c ;
+explicit $(here)/third_party/dcdflib/dcdflib.c ;
+
+lib cephes_double : $(here)/third_party/cephes_double/$(CEPHES_SOURCE)
+    :         
+        release
+        <link>static
+        [ check-target-builds $(here)/third_party/cephes_double/acosh.c : : <build>no ] 
+   ;
+
+explicit cephes_double ;
+
+lib dcdflib : $(here)/third_party/dcdflib/$(DCDFLIB_SOURCE)
+    :         
+        release
+        <link>static
+        [ check-target-builds $(here)/third_party/dcdflib/dcdflib.c : : <build>no ] 
+   ;
+
+explicit dcdflib ;
+
+obj table_helper : table_helper.cpp ;
+
+rule all-tests {
+     local result ;
+     for local source in [ glob test*.cpp ]
+     {
+        result += [ run $(source) /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+        : : : release <include>../../test 
+        [ check-target-builds ../accuracy//has_c99_cmath : <define>TEST_C99 ] 
+        [ check-target-builds ../accuracy//has_libstdcxx_tr1 : <define>TEST_LIBSTDCXX ] 
+        [ check-target-builds ../accuracy//has_gsl : <define>TEST_GSL <source>gsl <source>gslcblas ]
+        [ check-target-builds ../accuracy//has_rmath : <define>TEST_RMATH <source>Rmath ]
+       # [ check-target-builds is_intel_win : <build>no : ]
+        [ check-target-builds $(here)/third_party/dcdflib/dcdflib.c : <define>TEST_DCDFLIB <source>dcdflib ]
+        <target-os>linux:<linkflags>-lpthread <target-os>linux:<linkflags>-lrt
+        #<toolset>msvc:<address-model>64
+        ] ;
+     }
+     return $(result) ;     
+}
+            
+#
+# Special cases to test different compiler options,
+# cbrt first as an example of a trivial function:
+#
+run test_cbrt.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+     : : : debug <define>COMPILER_COMPARISON_TABLES [ predef-require "BOOST_COMP_MSVC" ] <address-model>32 : test_cbrt_msvc_debug ;
+run test_cbrt.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+     : : : release <define>COMPILER_COMPARISON_TABLES [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>32 : test_cbrt_msvc_release_32 ;
+run test_cbrt.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+     : : : release <define>COMPILER_COMPARISON_TABLES [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>64 : test_cbrt_msvc_release_64 ;
+run test_cbrt.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+     : : : release <define>COMPILER_COMPARISON_TABLES [ check-target-builds is_intel_win : : <build>no ] <toolset>intel:<cxxflags>-Ox <address-model>64 : test_cbrt_intel_release ;
+#
+# Now jn as a little more complex:
+#
+run test_jn.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : debug <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <address-model>32 : test_jn_msvc_debug ;
+run test_jn.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>32 : test_jn_msvc_release_32 ;
+run test_jn.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>64 : test_jn_msvc_release_64 ;
+run test_jn.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ check-target-builds is_intel_win : : <build>no ] <address-model>64 : test_jn_intel_release ;
+#
+# Then something really expensive, like the inverse-incomplete-beta:
+#
+run test_ibeta_inv.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : debug <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <address-model>32 : test_ibeta_inv_msvc_debug ;
+run test_ibeta_inv.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>32 : test_ibeta_inv_msvc_release_32 ;
+run test_ibeta_inv.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ predef-require "BOOST_COMP_MSVC" ] <cxxflags>-Ox <address-model>64 : test_ibeta_inv_msvc_release_64 ;
+run test_ibeta_inv.cpp /boost/regex//boost_regex /boost/system /boost/chrono /boost/filesystem table_helper
+   : : : release <define>COMPILER_COMPARISON_TABLES <include>../../test [ check-target-builds is_intel_win : : <build>no ] <toolset>intel:<cxxflags>-Ox <address-model>64 : test_ibeta_inv_intel_release ;
+
+test-suite report_gen : [ all-tests ] test_cbrt_msvc_debug test_cbrt_msvc_release_32 test_cbrt_msvc_release_64 test_cbrt_intel_release 
+   test_jn_msvc_debug test_jn_msvc_release_32 test_jn_msvc_release_64 test_jn_intel_release test_ibeta_inv_msvc_debug 
+   test_ibeta_inv_msvc_release_32 test_ibeta_inv_msvc_release_64 test_ibeta_inv_intel_release ;
+
+path-constant images_location : html ;
+path-constant here : . ;
+
+xml report : doc/report.qbk : <dependency>report_gen ;
+boostbook standalone
+    :
+        report
+    :
+        # Path for links to Boost:
+        <xsl:param>boost.root=../../../../..
+        
+        # Some general style settings:
+        <xsl:param>table.footnote.number.format=1
+        <xsl:param>footnote.number.format=1
+        <xsl:param>html.stylesheet=boostbook.css
+
+        # HTML options first:
+        # Use graphics not text for navigation:
+        <xsl:param>navig.graphics=1
+        # How far down we chunk nested sections, basically all of them:
+        <xsl:param>chunk.section.depth=0
+        # Don't put the first section on the same page as the TOC:
+        <xsl:param>chunk.first.sections=0
+        # How far down sections get TOC's
+        <xsl:param>toc.section.depth=2
+        # Max depth in each TOC:
+        <xsl:param>toc.max.depth=4
+        # How far down we go with TOC's
+        <xsl:param>generate.section.toc.level=10
+    ;
+
diff --git a/src/boost/libs/math/reporting/performance/fibonacci.hpp b/src/boost/libs/math/reporting/performance/fibonacci.hpp
new file mode 100644
index 00000000..f6be1f8d
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/fibonacci.hpp
@@ -0,0 +1,1245 @@
+//  Copyright (c) 2015 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#pragma once
+
+#include <vector>
+#include <boost/multiprecision/cpp_int.hpp>
+#include <boost/lexical_cast.hpp>
+
+template <class T>
+std::vector<T> const& fibonacci_numbers(const boost::mpl::int_<16>&)
+{
+   static const boost::uint16_t numbers[] = {
+      static_cast<boost::uint16_t>(21u),
+      static_cast<boost::uint16_t>(34u),
+      static_cast<boost::uint16_t>(55u),
+      static_cast<boost::uint16_t>(89u),
+      static_cast<boost::uint16_t>(144u),
+      static_cast<boost::uint16_t>(233u),
+      static_cast<boost::uint16_t>(377u),
+      static_cast<boost::uint16_t>(610u),
+      static_cast<boost::uint16_t>(987u),
+      static_cast<boost::uint16_t>(1597u),
+      static_cast<boost::uint16_t>(2584u),
+      static_cast<boost::uint16_t>(4181u),
+      static_cast<boost::uint16_t>(6765u),
+      static_cast<boost::uint16_t>(17711u),
+      static_cast<boost::uint16_t>(10946u),
+      static_cast<boost::uint16_t>(17711u),
+      static_cast<boost::uint16_t>(28657u),
+      static_cast<boost::uint16_t>(46368u)
+   };
+   static const std::vector<T> data(numbers, numbers + sizeof(numbers) / sizeof(numbers[0]));
+
+   return data;
+}
+
+template <class T>
+std::vector<T> const& fibonacci_numbers(const boost::mpl::int_<32>&)
+{
+   static const boost::uint32_t numbers[] = {
+      21u,
+      34u,
+      55u,
+      89u,
+      144u,
+      233u,
+      377u,
+      610u,
+      987u,
+      1597u,
+      2584u,
+      4181u,
+      6765u,
+      10946u,
+      17711u,
+      28657u,
+      46368u,
+      75025u,
+      121393u,
+      196418u,
+      317811u,
+      514229u,
+      832040u,
+      1346269u,
+      2178309u,
+      3524578u,
+      5702887u,
+      9227465u,
+      14930352u,
+      24157817u,
+      39088169u,
+      63245986u,
+      102334155u,
+      165580141u,
+      267914296u,
+      433494437u,
+      701408733u,
+      1134903170u,
+      1836311903u,
+      2971215073u
+   };
+   static const std::vector<T> data(numbers, numbers + sizeof(numbers) / sizeof(numbers[0]));
+
+   return data;
+}
+
+template <class T>
+std::vector<T> const& fibonacci_numbers(const boost::mpl::int_<64>&)
+{
+   static const boost::uint64_t numbers[] = {
+      21uLL,
+      34uLL,
+      55uLL,
+      89uLL,
+      144uLL,
+      233uLL,
+      377uLL,
+      610uLL,
+      987uLL,
+      1597uLL,
+      2584uLL,
+      4181uLL,
+      6765uLL,
+      10946uLL,
+      17711uLL,
+      28657uLL,
+      46368uLL,
+      75025uLL,
+      121393uLL,
+      196418uLL,
+      317811uLL,
+      514229uLL,
+      832040uLL,
+      1346269uLL,
+      2178309uLL,
+      3524578uLL,
+      5702887uLL,
+      9227465uLL,
+      14930352uLL,
+      24157817uLL,
+      39088169uLL,
+      63245986uLL,
+      102334155uLL,
+      165580141uLL,
+      267914296uLL,
+      433494437uLL,
+      701408733uLL,
+      1134903170uLL,
+      1836311903uLL,
+      2971215073uLL,
+      4807526976uLL,
+      7778742049uLL,
+      12586269025uLL,
+      20365011074uLL,
+      32951280099uLL,
+      53316291173uLL,
+      86267571272uLL,
+      139583862445uLL,
+      225851433717uLL,
+      365435296162uLL,
+      591286729879uLL,
+      956722026041uLL,
+      1548008755920uLL,
+      2504730781961uLL,
+      4052739537881uLL,
+      6557470319842uLL,
+      10610209857723uLL,
+      17167680177565uLL,
+      27777890035288uLL,
+      44945570212853uLL,
+      72723460248141uLL,
+      117669030460994uLL,
+      190392490709135uLL,
+      308061521170129uLL,
+      498454011879264uLL,
+      806515533049393uLL,
+      1304969544928657uLL,
+      2111485077978050uLL,
+      3416454622906707uLL,
+      5527939700884757uLL,
+      8944394323791464uLL,
+      14472334024676221uLL,
+      23416728348467685uLL,
+      37889062373143906uLL,
+      61305790721611591uLL,
+      99194853094755497uLL,
+      160500643816367088uLL,
+      259695496911122585uLL,
+      420196140727489673uLL,
+      679891637638612258uLL,
+      1100087778366101931uLL,
+      1779979416004714189uLL,
+      2880067194370816120uLL,
+      4660046610375530309uLL,
+      7540113804746346429uLL,
+      12200160415121876738uLL,
+   };
+   static const std::vector<T> data(numbers, numbers + sizeof(numbers) / sizeof(numbers[0]));
+
+   return data;
+}
+
+template <class T>
+std::vector<T> const& fibonacci_numbers(const boost::mpl::int_<0>&)
+{
+   static const T numbers[] = {
+      boost::lexical_cast<T>("21"),
+      boost::lexical_cast<T>("34"),
+      boost::lexical_cast<T>("55"),
+      boost::lexical_cast<T>("89"),
+      boost::lexical_cast<T>("144"),
+      boost::lexical_cast<T>("233"),
+      boost::lexical_cast<T>("377"),
+      boost::lexical_cast<T>("610"),
+      boost::lexical_cast<T>("987"),
+      boost::lexical_cast<T>("1597"),
+      boost::lexical_cast<T>("2584"),
+      boost::lexical_cast<T>("4181"),
+      boost::lexical_cast<T>("6765"),
+      boost::lexical_cast<T>("10946"),
+      boost::lexical_cast<T>("17711"),
+      boost::lexical_cast<T>("28657"),
+      boost::lexical_cast<T>("46368"),
+      boost::lexical_cast<T>("75025"),
+      boost::lexical_cast<T>("121393"),
+      boost::lexical_cast<T>("196418"),
+      boost::lexical_cast<T>("317811"),
+      boost::lexical_cast<T>("514229"),
+      boost::lexical_cast<T>("832040"),
+      boost::lexical_cast<T>("1346269"),
+      boost::lexical_cast<T>("2178309"),
+      boost::lexical_cast<T>("3524578"),
+      boost::lexical_cast<T>("5702887"),
+      boost::lexical_cast<T>("9227465"),
+      boost::lexical_cast<T>("14930352"),
+      boost::lexical_cast<T>("24157817"),
+      boost::lexical_cast<T>("39088169"),
+      boost::lexical_cast<T>("63245986"),
+      boost::lexical_cast<T>("102334155"),
+      boost::lexical_cast<T>("165580141"),
+      boost::lexical_cast<T>("267914296"),
+      boost::lexical_cast<T>("433494437"),
+      boost::lexical_cast<T>("701408733"),
+      boost::lexical_cast<T>("1134903170"),
+      boost::lexical_cast<T>("1836311903"),
+      boost::lexical_cast<T>("2971215073"),
+      // 64-bit:
+      boost::lexical_cast<T>("4807526976"),
+      boost::lexical_cast<T>("7778742049"),
+      boost::lexical_cast<T>("12586269025"),
+      boost::lexical_cast<T>("20365011074"),
+      boost::lexical_cast<T>("32951280099"),
+      boost::lexical_cast<T>("53316291173"),
+      boost::lexical_cast<T>("86267571272"),
+      boost::lexical_cast<T>("139583862445"),
+      boost::lexical_cast<T>("225851433717"),
+      boost::lexical_cast<T>("365435296162"),
+      boost::lexical_cast<T>("591286729879"),
+      boost::lexical_cast<T>("956722026041"),
+      boost::lexical_cast<T>("1548008755920"),
+      boost::lexical_cast<T>("2504730781961"),
+      boost::lexical_cast<T>("4052739537881"),
+      boost::lexical_cast<T>("6557470319842"),
+      boost::lexical_cast<T>("10610209857723"),
+      boost::lexical_cast<T>("17167680177565"),
+      boost::lexical_cast<T>("27777890035288"),
+      boost::lexical_cast<T>("44945570212853"),
+      boost::lexical_cast<T>("72723460248141"),
+      boost::lexical_cast<T>("117669030460994"),
+      boost::lexical_cast<T>("190392490709135"),
+      boost::lexical_cast<T>("308061521170129"),
+      boost::lexical_cast<T>("498454011879264"),
+      boost::lexical_cast<T>("806515533049393"),
+      boost::lexical_cast<T>("1304969544928657"),
+      boost::lexical_cast<T>("2111485077978050"),
+      boost::lexical_cast<T>("3416454622906707"),
+      boost::lexical_cast<T>("5527939700884757"),
+      boost::lexical_cast<T>("8944394323791464"),
+      boost::lexical_cast<T>("14472334024676221"),
+      boost::lexical_cast<T>("23416728348467685"),
+      boost::lexical_cast<T>("37889062373143906"),
+      boost::lexical_cast<T>("61305790721611591"),
+      boost::lexical_cast<T>("99194853094755497"),
+      boost::lexical_cast<T>("160500643816367088"),
+      boost::lexical_cast<T>("259695496911122585"),
+      boost::lexical_cast<T>("420196140727489673"),
+      boost::lexical_cast<T>("679891637638612258"),
+      boost::lexical_cast<T>("1100087778366101931"),
+      boost::lexical_cast<T>("1779979416004714189"),
+      boost::lexical_cast<T>("2880067194370816120"),
+      boost::lexical_cast<T>("4660046610375530309"),
+      boost::lexical_cast<T>("7540113804746346429"),
+      boost::lexical_cast<T>("12200160415121876738"),
+      // 128-bit:
+      boost::lexical_cast<T>("19740274219868223167"),
+      boost::lexical_cast<T>("31940434634990099905"),
+      boost::lexical_cast<T>("51680708854858323072"),
+      boost::lexical_cast<T>("83621143489848422977"),
+      boost::lexical_cast<T>("135301852344706746049"),
+      boost::lexical_cast<T>("218922995834555169026"),
+      boost::lexical_cast<T>("354224848179261915075"),
+      boost::lexical_cast<T>("573147844013817084101"),
+      boost::lexical_cast<T>("927372692193078999176"),
+      boost::lexical_cast<T>("1500520536206896083277"),
+      boost::lexical_cast<T>("2427893228399975082453"),
+      boost::lexical_cast<T>("3928413764606871165730"),
+      boost::lexical_cast<T>("6356306993006846248183"),
+      boost::lexical_cast<T>("10284720757613717413913"),
+      boost::lexical_cast<T>("16641027750620563662096"),
+      boost::lexical_cast<T>("26925748508234281076009"),
+      boost::lexical_cast<T>("43566776258854844738105"),
+      boost::lexical_cast<T>("70492524767089125814114"),
+      boost::lexical_cast<T>("114059301025943970552219"),
+      boost::lexical_cast<T>("184551825793033096366333"),
+      boost::lexical_cast<T>("298611126818977066918552"),
+      boost::lexical_cast<T>("483162952612010163284885"),
+      boost::lexical_cast<T>("781774079430987230203437"),
+      boost::lexical_cast<T>("1264937032042997393488322"),
+      boost::lexical_cast<T>("2046711111473984623691759"),
+      boost::lexical_cast<T>("3311648143516982017180081"),
+      boost::lexical_cast<T>("5358359254990966640871840"),
+      boost::lexical_cast<T>("8670007398507948658051921"),
+      boost::lexical_cast<T>("14028366653498915298923761"),
+      boost::lexical_cast<T>("22698374052006863956975682"),
+      boost::lexical_cast<T>("36726740705505779255899443"),
+      boost::lexical_cast<T>("59425114757512643212875125"),
+      boost::lexical_cast<T>("96151855463018422468774568"),
+      boost::lexical_cast<T>("155576970220531065681649693"),
+      boost::lexical_cast<T>("251728825683549488150424261"),
+      boost::lexical_cast<T>("407305795904080553832073954"),
+      boost::lexical_cast<T>("659034621587630041982498215"),
+      boost::lexical_cast<T>("1066340417491710595814572169"),
+      boost::lexical_cast<T>("1725375039079340637797070384"),
+      boost::lexical_cast<T>("2791715456571051233611642553"),
+      boost::lexical_cast<T>("4517090495650391871408712937"),
+      boost::lexical_cast<T>("7308805952221443105020355490"),
+      boost::lexical_cast<T>("11825896447871834976429068427"),
+      boost::lexical_cast<T>("19134702400093278081449423917"),
+      boost::lexical_cast<T>("30960598847965113057878492344"),
+      boost::lexical_cast<T>("50095301248058391139327916261"),
+      boost::lexical_cast<T>("81055900096023504197206408605"),
+      boost::lexical_cast<T>("131151201344081895336534324866"),
+      boost::lexical_cast<T>("212207101440105399533740733471"),
+      boost::lexical_cast<T>("343358302784187294870275058337"),
+      boost::lexical_cast<T>("555565404224292694404015791808"),
+      boost::lexical_cast<T>("898923707008479989274290850145"),
+      boost::lexical_cast<T>("1454489111232772683678306641953"),
+      boost::lexical_cast<T>("2353412818241252672952597492098"),
+      boost::lexical_cast<T>("3807901929474025356630904134051"),
+      boost::lexical_cast<T>("6161314747715278029583501626149"),
+      boost::lexical_cast<T>("9969216677189303386214405760200"),
+      boost::lexical_cast<T>("16130531424904581415797907386349"),
+      boost::lexical_cast<T>("26099748102093884802012313146549"),
+      boost::lexical_cast<T>("42230279526998466217810220532898"),
+      boost::lexical_cast<T>("68330027629092351019822533679447"),
+      boost::lexical_cast<T>("110560307156090817237632754212345"),
+      boost::lexical_cast<T>("178890334785183168257455287891792"),
+      boost::lexical_cast<T>("289450641941273985495088042104137"),
+      boost::lexical_cast<T>("468340976726457153752543329995929"),
+      boost::lexical_cast<T>("757791618667731139247631372100066"),
+      boost::lexical_cast<T>("1226132595394188293000174702095995"),
+      boost::lexical_cast<T>("1983924214061919432247806074196061"),
+      boost::lexical_cast<T>("3210056809456107725247980776292056"),
+      boost::lexical_cast<T>("5193981023518027157495786850488117"),
+      boost::lexical_cast<T>("8404037832974134882743767626780173"),
+      boost::lexical_cast<T>("13598018856492162040239554477268290"),
+      boost::lexical_cast<T>("22002056689466296922983322104048463"),
+      boost::lexical_cast<T>("35600075545958458963222876581316753"),
+      boost::lexical_cast<T>("57602132235424755886206198685365216"),
+      boost::lexical_cast<T>("93202207781383214849429075266681969"),
+      boost::lexical_cast<T>("150804340016807970735635273952047185"),
+      boost::lexical_cast<T>("244006547798191185585064349218729154"),
+      boost::lexical_cast<T>("394810887814999156320699623170776339"),
+      boost::lexical_cast<T>("638817435613190341905763972389505493"),
+      boost::lexical_cast<T>("1033628323428189498226463595560281832"),
+      boost::lexical_cast<T>("1672445759041379840132227567949787325"),
+      boost::lexical_cast<T>("2706074082469569338358691163510069157"),
+      boost::lexical_cast<T>("4378519841510949178490918731459856482"),
+      boost::lexical_cast<T>("7084593923980518516849609894969925639"),
+      boost::lexical_cast<T>("11463113765491467695340528626429782121"),
+      boost::lexical_cast<T>("18547707689471986212190138521399707760"),
+      boost::lexical_cast<T>("30010821454963453907530667147829489881"),
+      boost::lexical_cast<T>("48558529144435440119720805669229197641"),
+      boost::lexical_cast<T>("78569350599398894027251472817058687522"),
+      boost::lexical_cast<T>("127127879743834334146972278486287885163"),
+      boost::lexical_cast<T>("205697230343233228174223751303346572685"),
+      boost::lexical_cast<T>("332825110087067562321196029789634457848"),
+      boost::lexical_cast<T>("538522340430300790495419781092981030533"),
+      boost::lexical_cast<T>("871347450517368352816615810882615488381"),
+      boost::lexical_cast<T>("1409869790947669143312035591975596518914"),
+      boost::lexical_cast<T>("2281217241465037496128651402858212007295"),
+      boost::lexical_cast<T>("3691087032412706639440686994833808526209"),
+      boost::lexical_cast<T>("5972304273877744135569338397692020533504"),
+      boost::lexical_cast<T>("9663391306290450775010025392525829059713"),
+      boost::lexical_cast<T>("15635695580168194910579363790217849593217"),
+      boost::lexical_cast<T>("25299086886458645685589389182743678652930"),
+      boost::lexical_cast<T>("40934782466626840596168752972961528246147"),
+      boost::lexical_cast<T>("66233869353085486281758142155705206899077"),
+      boost::lexical_cast<T>("107168651819712326877926895128666735145224"),
+      boost::lexical_cast<T>("173402521172797813159685037284371942044301"),
+      boost::lexical_cast<T>("280571172992510140037611932413038677189525"),
+      boost::lexical_cast<T>("453973694165307953197296969697410619233826"),
+      boost::lexical_cast<T>("734544867157818093234908902110449296423351"),
+      boost::lexical_cast<T>("1188518561323126046432205871807859915657177"),
+      boost::lexical_cast<T>("1923063428480944139667114773918309212080528"),
+      boost::lexical_cast<T>("3111581989804070186099320645726169127737705"),
+      boost::lexical_cast<T>("5034645418285014325766435419644478339818233"),
+      boost::lexical_cast<T>("8146227408089084511865756065370647467555938"),
+      boost::lexical_cast<T>("13180872826374098837632191485015125807374171"),
+      boost::lexical_cast<T>("21327100234463183349497947550385773274930109"),
+      boost::lexical_cast<T>("34507973060837282187130139035400899082304280"),
+      boost::lexical_cast<T>("55835073295300465536628086585786672357234389"),
+      boost::lexical_cast<T>("90343046356137747723758225621187571439538669"),
+      boost::lexical_cast<T>("146178119651438213260386312206974243796773058"),
+      boost::lexical_cast<T>("236521166007575960984144537828161815236311727"),
+      boost::lexical_cast<T>("382699285659014174244530850035136059033084785"),
+      boost::lexical_cast<T>("619220451666590135228675387863297874269396512"),
+      boost::lexical_cast<T>("1001919737325604309473206237898433933302481297"),
+      boost::lexical_cast<T>("1621140188992194444701881625761731807571877809"),
+      boost::lexical_cast<T>("2623059926317798754175087863660165740874359106"),
+      boost::lexical_cast<T>("4244200115309993198876969489421897548446236915"),
+      boost::lexical_cast<T>("6867260041627791953052057353082063289320596021"),
+      boost::lexical_cast<T>("11111460156937785151929026842503960837766832936"),
+      boost::lexical_cast<T>("17978720198565577104981084195586024127087428957"),
+      boost::lexical_cast<T>("29090180355503362256910111038089984964854261893"),
+      boost::lexical_cast<T>("47068900554068939361891195233676009091941690850"),
+      boost::lexical_cast<T>("76159080909572301618801306271765994056795952743"),
+      boost::lexical_cast<T>("123227981463641240980692501505442003148737643593"),
+      boost::lexical_cast<T>("199387062373213542599493807777207997205533596336"),
+      boost::lexical_cast<T>("322615043836854783580186309282650000354271239929"),
+      boost::lexical_cast<T>("522002106210068326179680117059857997559804836265"),
+      boost::lexical_cast<T>("844617150046923109759866426342507997914076076194"),
+      boost::lexical_cast<T>("1366619256256991435939546543402365995473880912459"),
+      boost::lexical_cast<T>("2211236406303914545699412969744873993387956988653"),
+      boost::lexical_cast<T>("3577855662560905981638959513147239988861837901112"),
+      boost::lexical_cast<T>("5789092068864820527338372482892113982249794889765"),
+      boost::lexical_cast<T>("9366947731425726508977331996039353971111632790877"),
+      boost::lexical_cast<T>("15156039800290547036315704478931467953361427680642"),
+      boost::lexical_cast<T>("24522987531716273545293036474970821924473060471519"),
+      boost::lexical_cast<T>("39679027332006820581608740953902289877834488152161"),
+      boost::lexical_cast<T>("64202014863723094126901777428873111802307548623680"),
+      boost::lexical_cast<T>("103881042195729914708510518382775401680142036775841"),
+      boost::lexical_cast<T>("168083057059453008835412295811648513482449585399521"),
+      boost::lexical_cast<T>("271964099255182923543922814194423915162591622175362"),
+      boost::lexical_cast<T>("440047156314635932379335110006072428645041207574883"),
+      boost::lexical_cast<T>("712011255569818855923257924200496343807632829750245"),
+      boost::lexical_cast<T>("1152058411884454788302593034206568772452674037325128"),
+      boost::lexical_cast<T>("1864069667454273644225850958407065116260306867075373"),
+      boost::lexical_cast<T>("3016128079338728432528443992613633888712980904400501"),
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+      boost::lexical_cast<T>("91708675472160090711036102616287632089318911882123915231537729562617689923506638302133"),
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+      boost::lexical_cast<T>("388484183426537766350753518180972865642314621443875164454555847769482631352751675692037"),
+      boost::lexical_cast<T>("628580612875886694881648328579603114508131388106874704297602636435532791990880832689122"),
+      boost::lexical_cast<T>("1017064796302424461232401846760575980150446009550749868752158484205015423343632508381159"),
+      boost::lexical_cast<T>("1645645409178311156114050175340179094658577397657624573049761120640548215334513341070281"),
+      boost::lexical_cast<T>("2662710205480735617346452022100755074809023407208374441801919604845563638678145849451440"),
+      boost::lexical_cast<T>("4308355614659046773460502197440934169467600804865999014851680725486111854012659190521721"),
+      boost::lexical_cast<T>("6971065820139782390806954219541689244276624212074373456653600330331675492690805039973161"),
+      boost::lexical_cast<T>("11279421434798829164267456416982623413744225016940372471505281055817787346703464230494882"),
+      boost::lexical_cast<T>("18250487254938611555074410636524312658020849229014745928158881386149462839394269270468043"),
+      boost::lexical_cast<T>("29529908689737440719341867053506936071765074245955118399664162441967250186097733500962925"),
+      boost::lexical_cast<T>("47780395944676052274416277690031248729785923474969864327823043828116713025492002771430968"),
+      boost::lexical_cast<T>("77310304634413492993758144743538184801550997720924982727487206270083963211589736272393893"),
+      boost::lexical_cast<T>("125090700579089545268174422433569433531336921195894847055310250098200676237081739043824861"),
+      boost::lexical_cast<T>("202401005213503038261932567177107618332887918916819829782797456368284639448671475316218754"),
+      boost::lexical_cast<T>("327491705792592583530106989610677051864224840112714676838107706466485315685753214360043615"),
+      boost::lexical_cast<T>("529892711006095621792039556787784670197112759029534506620905162834769955134424689676262369"),
+      boost::lexical_cast<T>("857384416798688205322146546398461722061337599142249183459012869301255270820177904036305984"),
+      boost::lexical_cast<T>("1387277127804783827114186103186246392258450358171783690079918032136025225954602593712568353"),
+      boost::lexical_cast<T>("2244661544603472032436332649584708114319787957314032873538930901437280496774780497748874337"),
+      boost::lexical_cast<T>("3631938672408255859550518752770954506578238315485816563618848933573305722729383091461442690"),
+      boost::lexical_cast<T>("5876600217011727891986851402355662620898026272799849437157779835010586219504163589210317027"),
+      boost::lexical_cast<T>("9508538889419983751537370155126617127476264588285666000776628768583891942233546680671759717"),
+      boost::lexical_cast<T>("15385139106431711643524221557482279748374290861085515437934408603594478161737710269882076744"),
+      boost::lexical_cast<T>("24893677995851695395061591712608896875850555449371181438711037372178370103971256950553836461"),
+      boost::lexical_cast<T>("40278817102283407038585813270091176624224846310456696876645445975772848265708967220435913205"),
+      boost::lexical_cast<T>("65172495098135102433647404982700073500075401759827878315356483347951218369680224170989749666"),
+      boost::lexical_cast<T>("105451312200418509472233218252791250124300248070284575192001929323724066635389191391425662871"),
+      boost::lexical_cast<T>("170623807298553611905880623235491323624375649830112453507358412671675285005069415562415412537"),
+      boost::lexical_cast<T>("276075119498972121378113841488282573748675897900397028699360341995399351640458606953841075408"),
+      boost::lexical_cast<T>("446698926797525733283994464723773897373051547730509482206718754667074636645528022516256487945"),
+      boost::lexical_cast<T>("722774046296497854662108306212056471121727445630906510906079096662473988285986629470097563353"),
+      boost::lexical_cast<T>("1169472973094023587946102770935830368494778993361415993112797851329548624931514651986354051298"),
+      boost::lexical_cast<T>("1892247019390521442608211077147886839616506438992322504018876947992022613217501281456451614651"),
+      boost::lexical_cast<T>("3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949"),
+      boost::lexical_cast<T>("4953967011875066473162524925231604047727791871346061001150551747313593851366517214899257280600"),
+      boost::lexical_cast<T>("8015687004359611503716838773315321255839077303699799498282226546635165089515533148342062946549"),
+      boost::lexical_cast<T>("12969654016234677976879363698546925303566869175045860499432778293948758940882050363241320227149"),
+      boost::lexical_cast<T>("20985341020594289480596202471862246559405946478745659997715004840583924030397583511583383173698"),
+      boost::lexical_cast<T>("33954995036828967457475566170409171862972815653791520497147783134532682971279633874824703400847"),
+      boost::lexical_cast<T>("54940336057423256938071768642271418422378762132537180494862787975116607001677217386408086574545"),
+      boost::lexical_cast<T>("88895331094252224395547334812680590285351577786328700992010571109649289972956851261232789975392"),
+      boost::lexical_cast<T>("143835667151675481333619103454952008707730339918865881486873359084765896974634068647640876549937"),
+      boost::lexical_cast<T>("232730998245927705729166438267632598993081917705194582478883930194415186947590919908873666525329"),
+      boost::lexical_cast<T>("376566665397603187062785541722584607700812257624060463965757289279181083922224988556514543075266"),
+      boost::lexical_cast<T>("609297663643530892791951979990217206693894175329255046444641219473596270869815908465388209600595"),
+      boost::lexical_cast<T>("985864329041134079854737521712801814394706432953315510410398508752777354792040897021902752675861"),
+      boost::lexical_cast<T>("1595161992684664972646689501703019021088600608282570556855039728226373625661856805487290962276456"),
+      boost::lexical_cast<T>("2581026321725799052501427023415820835483307041235886067265438236979150980453897702509193714952317"),
+      boost::lexical_cast<T>("4176188314410464025148116525118839856571907649518456624120477965205524606115754507996484677228773"),
+      boost::lexical_cast<T>("6757214636136263077649543548534660692055214690754342691385916202184675586569652210505678392181090"),
+      boost::lexical_cast<T>("10933402950546727102797660073653500548627122340272799315506394167390200192685406718502163069409863"),
+      boost::lexical_cast<T>("17690617586682990180447203622188161240682337031027142006892310369574875779255058929007841461590953"),
+      boost::lexical_cast<T>("28624020537229717283244863695841661789309459371299941322398704536965075971940465647510004531000816"),
+      boost::lexical_cast<T>("46314638123912707463692067318029823029991796402327083329291014906539951751195524576517845992591769"),
+      boost::lexical_cast<T>("74938658661142424746936931013871484819301255773627024651689719443505027723135990224027850523592585"),
+      boost::lexical_cast<T>("121253296785055132210628998331901307849293052175954107980980734350044979474331514800545696516184354"),
+      boost::lexical_cast<T>("196191955446197556957565929345772792668594307949581132632670453793550007197467505024573547039776939"),
+      boost::lexical_cast<T>("317445252231252689168194927677674100517887360125535240613651188143594986671799019825119243555961293"),
+      boost::lexical_cast<T>("513637207677450246125760857023446893186481668075116373246321641937144993869266524849692790595738232"),
+      boost::lexical_cast<T>("831082459908702935293955784701120993704369028200651613859972830080739980541065544674812034151699525"),
+      boost::lexical_cast<T>("1344719667586153181419716641724567886890850696275767987106294472017884974410332069524504824747437757"),
+      boost::lexical_cast<T>("2175802127494856116713672426425688880595219724476419600966267302098624954951397614199316858899137282"),
+      boost::lexical_cast<T>("3520521795081009298133389068150256767486070420752187588072561774116509929361729683723821683646575039"),
+      boost::lexical_cast<T>("5696323922575865414847061494575945648081290145228607189038829076215134884313127297923138542545712321"),
+      boost::lexical_cast<T>("9216845717656874712980450562726202415567360565980794777111390850331644813674856981646960226192287360"),
+      boost::lexical_cast<T>("14913169640232740127827512057302148063648650711209401966150219926546779697987984279570098768737999681"),
+      boost::lexical_cast<T>("24130015357889614840807962620028350479216011277190196743261610776878424511662841261217058994930287041"),
+      boost::lexical_cast<T>("39043184998122354968635474677330498542864661988399598709411830703425204209650825540787157763668286722"),
+      boost::lexical_cast<T>("63173200356011969809443437297358849022080673265589795452673441480303628721313666802004216758598573763"),
+      boost::lexical_cast<T>("102216385354134324778078911974689347564945335253989394162085272183728832930964492342791374522266860485"),
+      boost::lexical_cast<T>("165389585710146294587522349272048196587026008519579189614758713664032461652278159144795591280865434248"),
+      boost::lexical_cast<T>("267605971064280619365601261246737544151971343773568583776843985847761294583242651487586965803132294733"),
+      boost::lexical_cast<T>("432995556774426913953123610518785740738997352293147773391602699511793756235520810632382557083997728981"),
+      boost::lexical_cast<T>("700601527838707533318724871765523284890968696066716357168446685359555050818763462119969522887130023714"),
+      boost::lexical_cast<T>("1133597084613134447271848482284309025629966048359864130560049384871348807054284272752352079971127752695"),
+      boost::lexical_cast<T>("1834198612451841980590573354049832310520934744426580487728496070230903857873047734872321602858257776409"),
+      boost::lexical_cast<T>("2967795697064976427862421836334141336150900792786444618288545455102252664927332007624673682829385529104"),
+      boost::lexical_cast<T>("4801994309516818408452995190383973646671835537213025106017041525333156522800379742496995285687643305513"),
+      boost::lexical_cast<T>("7769790006581794836315417026718114982822736329999469724305586980435409187727711750121668968517028834617"),
+      boost::lexical_cast<T>("12571784316098613244768412217102088629494571867212494830322628505768565710528091492618664254204672140130"),
+      boost::lexical_cast<T>("20341574322680408081083829243820203612317308197211964554628215486203974898255803242740333222721700974747"),
+      boost::lexical_cast<T>("32913358638779021325852241460922292241811880064424459384950843991972540608783894735358997476926373114877"),
+      boost::lexical_cast<T>("53254932961459429406936070704742495854129188261636423939579059478176515507039697978099330699648074089624"),
+      boost::lexical_cast<T>("86168291600238450732788312165664788095941068326060883324529903470149056115823592713458328176574447204501"),
+      boost::lexical_cast<T>("139423224561697880139724382870407283950070256587697307264108962948325571622863290691557658876222521294125"),
+      boost::lexical_cast<T>("225591516161936330872512695036072072046011324913758190588638866418474627738686883405015987052796968498626"),
+      boost::lexical_cast<T>("365014740723634211012237077906479355996081581501455497852747829366800199361550174096573645929019489792751"),
+      boost::lexical_cast<T>("590606256885570541884749772942551428042092906415213688441386695785274827100237057501589632981816458291377"),
+      boost::lexical_cast<T>("955620997609204752896986850849030784038174487916669186294134525152075026461787231598163278910835948084128"),
+      boost::lexical_cast<T>("1546227254494775294781736623791582212080267394331882874735521220937349853562024289099752911892652406375505"),
+      boost::lexical_cast<T>("2501848252103980047678723474640612996118441882248552061029655746089424880023811520697916190803488354459633"),
+      boost::lexical_cast<T>("4048075506598755342460460098432195208198709276580434935765176967026774733585835809797669102696140760835138"),
+      boost::lexical_cast<T>("6549923758702735390139183573072808204317151158828986996794832713116199613609647330495585293499629115294771"),
+      boost::lexical_cast<T>("10597999265301490732599643671505003412515860435409421932560009680142974347195483140293254396195769876129909"),
+      boost::lexical_cast<T>("17147923024004226122738827244577811616833011594238408929354842393259173960805130470788839689695398991424680"),
+      boost::lexical_cast<T>("27745922289305716855338470916082815029348872029647830861914852073402148308000613611082094085891168867554589"),
+      boost::lexical_cast<T>("44893845313309942978077298160660626646181883623886239791269694466661322268805744081870933775586567858979269"),
+      boost::lexical_cast<T>("72639767602615659833415769076743441675530755653534070653184546540063470576806357692953027861477736726533858"),
+      boost::lexical_cast<T>("117533612915925602811493067237404068321712639277420310444454241006724792845612101774823961637064304585513127"),
+      boost::lexical_cast<T>("190173380518541262644908836314147509997243394930954381097638787546788263422418459467776989498542041312046985"),
+      boost::lexical_cast<T>("307706993434466865456401903551551578318956034208374691542093028553513056268030561242600951135606345897560112"),
+      boost::lexical_cast<T>("497880373953008128101310739865699088316199429139329072639731816100301319690449020710377940634148387209607097"),
+      boost::lexical_cast<T>("805587367387474993557712643417250666635155463347703764181824844653814375958479581952978891769754733107167209"),
+      boost::lexical_cast<T>("1303467741340483121659023383282949754951354892487032836821556660754115695648928602663356832403903120316774306"),
+      boost::lexical_cast<T>("2109055108727958115216736026700200421586510355834736601003381505407930071607408184616335724173657853423941515"),
+      boost::lexical_cast<T>("3412522850068441236875759409983150176537865248321769437824938166162045767256336787279692556577560973740715821"),
+      boost::lexical_cast<T>("5521577958796399352092495436683350598124375604156506038828319671569975838863744971896028280751218827164657336"),
+      boost::lexical_cast<T>("8934100808864840588968254846666500774662240852478275476653257837732021606120081759175720837328779800905373157"),
+      boost::lexical_cast<T>("14455678767661239941060750283349851372786616456634781515481577509301997444983826731071749118079998628070030493"),
+      boost::lexical_cast<T>("23389779576526080530029005130016352147448857309113056992134835347034019051103908490247469955408778428975403650"),
+      boost::lexical_cast<T>("37845458344187320471089755413366203520235473765747838507616412856336016496087735221319219073488777057045434143"),
+      boost::lexical_cast<T>("61235237920713401001118760543382555667684331074860895499751248203370035547191643711566689028897555486020837793"),
+      boost::lexical_cast<T>("99080696264900721472208515956748759187919804840608734007367661059706052043279378932885908102386332543066271936"),
+      boost::lexical_cast<T>("160315934185614122473327276500131314855604135915469629507118909263076087590471022644452597131283888029087109729"),
+      boost::lexical_cast<T>("259396630450514843945535792456880074043523940756078363514486570322782139633750401577338505233670220572153381665"),
+      boost::lexical_cast<T>("419712564636128966418863068957011388899128076671547993021605479585858227224221424221791102364954108601240491394"),
+      boost::lexical_cast<T>("679109195086643810364398861413891462942652017427626356536092049908640366857971825799129607598624329173393873059"),
+      boost::lexical_cast<T>("1098821759722772776783261930370902851841780094099174349557697529494498594082193250020920709963578437774634364453"),
+      boost::lexical_cast<T>("1777930954809416587147660791784794314784432111526800706093789579403138960940165075820050317562202766948028237512"),
+      boost::lexical_cast<T>("2876752714532189363930922722155697166626212205625975055651487108897637555022358325840971027525781204722662601965"),
+      boost::lexical_cast<T>("4654683669341605951078583513940491481410644317152775761745276688300776515962523401661021345087983971670690839477"),
+      boost::lexical_cast<T>("7531436383873795315009506236096188648036856522778750817396763797198414070984881727501992372613765176393353441442"),
+      boost::lexical_cast<T>("12186120053215401266088089750036680129447500839931526579142040485499190586947405129163013717701749148064044280919"),
+      boost::lexical_cast<T>("19717556437089196581097595986132868777484357362710277396538804282697604657932286856665006090315514324457397722361"),
+      boost::lexical_cast<T>("31903676490304597847185685736169548906931858202641803975680844768196795244879691985828019808017263472521442003280"),
+      boost::lexical_cast<T>("51621232927393794428283281722302417684416215565352081372219649050894399902811978842493025898332777796978839725641"),
+      boost::lexical_cast<T>("83524909417698392275468967458471966591348073767993885347900493819091195147691670828321045706350041269500281728921"),
+      boost::lexical_cast<T>("135146142345092186703752249180774384275764289333345966720120142869985595050503649670814071604682819066479121454562"),
+      boost::lexical_cast<T>("218671051762790578979221216639246350867112363101339852068020636689076790198195320499135117311032860335979403183483"),
+      boost::lexical_cast<T>("353817194107882765682973465820020735142876652434685818788140779559062385248698970169949188915715679402458524638045"),
+      boost::lexical_cast<T>("572488245870673344662194682459267086009989015536025670856161416248139175446894290669084306226748539738437927821528"),
+      boost::lexical_cast<T>("926305439978556110345168148279287821152865667970711489644302195807201560695593260839033495142464219140896452459573"),
+      boost::lexical_cast<T>("1498793685849229455007362830738554907162854683506737160500463612055340736142487551508117801369212758879334380281101"),
+      boost::lexical_cast<T>("2425099125827785565352530979017842728315720351477448650144765807862542296838080812347151296511676978020230832740674"),
+      boost::lexical_cast<T>("3923892811677015020359893809756397635478575034984185810645229419917883032980568363855269097880889736899565213021775"),
+      boost::lexical_cast<T>("6348991937504800585712424788774240363794295386461634460789995227780425329818649176202420394392566714919796045762449"),
+      boost::lexical_cast<T>("10272884749181815606072318598530637999272870421445820271435224647698308362799217540057689492273456451819361258784224"),
+      boost::lexical_cast<T>("16621876686686616191784743387304878363067165807907454732225219875478733692617866716260109886666023166739157304546673"),
+      boost::lexical_cast<T>("26894761435868431797857061985835516362340036229353275003660444523177042055417084256317799378939479618558518563330897"),
+      boost::lexical_cast<T>("4351663812255504798964180537314039472540720203726072973588566439865577574803495097257790926560550278529767567877570"),
+      boost::lexical_cast<T>("70411399558423479787498867358975911087747238266614004739546108921832817803452035228895708644544982403856194431208467"),
+      boost::lexical_cast<T>("113928037680978527777140672732116305813154440303874734475431773320488593551486986201473617910150485189153870299086037"),
+      boost::lexical_cast<T>("184339437239402007564639540091092216900901678570488739214977882242321411354939021430369326554695467593010064730294504"),
+      boost::lexical_cast<T>("298267474920380535341780212823208522714056118874363473690409655562810004906426007631842944464845952782163935029380541"),
+      boost::lexical_cast<T>("482606912159782542906419752914300739614957797444852212905387537805131416261365029062212271019541420375173999759675045"),
+      boost::lexical_cast<T>("780874387080163078248199965737509262329013916319215686595797193367941421167791036694055215484387373157337934789055586"),
+      boost::lexical_cast<T>("1263481299239945621154619718651810001943971713764067899501184731173072837429156065756267486503928793532511934548730631"),
+      boost::lexical_cast<T>("2044355686320108699402819684389319264272985630083283586096981924541014258596947102450322701988316166689849869337786217"),
+      boost::lexical_cast<T>("3307836985560054320557439403041129266216957343847351485598166655714087096026103168206590188492244960222361803886516848"),
+      boost::lexical_cast<T>("5352192671880163019960259087430448530489942973930635071695148580255101354623050270656912890480561126912211673224303065"),
+      boost::lexical_cast<T>("8660029657440217340517698490471577796706900317777986557293315235969188450649153438863503078972806087134573477110819913"),
+      boost::lexical_cast<T>("14012222329320380360477957577902026327196843291708621628988463816224289805272203709520415969453367214046785150335122978"),
+      boost::lexical_cast<T>("22672251986760597700995656068373604123903743609486608186281779052193478255921357148383919048426173301181358627445942891"),
+      boost::lexical_cast<T>("36684474316080978061473613646275630451100586901195229815270242868417768061193560857904335017879540515228143777781065869"),
+      boost::lexical_cast<T>("59356726302841575762469269714649234575004330510681838001552021920611246317114918006288254066305713816409502405227008760"),
+      boost::lexical_cast<T>("96041200618922553823942883360924865026104917411877067816822264789029014378308478864192589084185254331637646183008074629"),
+      boost::lexical_cast<T>("155397926921764129586412153075574099601109247922558905818374286709640260695423396870480843150490968148047148588235083389"),
+      boost::lexical_cast<T>("251439127540686683410355036436498964627214165334435973635196551498669275073731875734673432234676222479684794771243158018"),
+      boost::lexical_cast<T>("406837054462450812996767189512073064228323413256994879453570838208309535769155272605154275385167190627731943359478241407"),
+      boost::lexical_cast<T>("658276182003137496407122225948572028855537578591430853088767389706978810842887148339827707619843413107416738130721399425"),
+      boost::lexical_cast<T>("1065113236465588309403889415460645093083860991848425732542338227915288346612042420944981983005010603735148681490199640832"),
+      boost::lexical_cast<T>("1723389418468725805811011641409217121939398570439856585631105617622267157454929569284809690624854016842565419620921040257"),
+      boost::lexical_cast<T>("2788502654934314115214901056869862215023259562288282318173443845537555504066971990229791673629864620577714101111120681089"),
+      boost::lexical_cast<T>("4511892073403039921025912698279079336962658132728138903804549463159822661521901559514601364254718637420279520732041721346"),
+      boost::lexical_cast<T>("7300394728337354036240813755148941551985917695016421221977993308697378165588873549744393037884583257997993621843162402435"),
+      boost::lexical_cast<T>("11812286801740393957266726453428020888948575827744560125782542771857200827110775109258994402139301895418273142575204123781"),
+      boost::lexical_cast<T>("19112681530077747993507540208576962440934493522760981347760536080554578992699648659003387440023885153416266764418366526216"),
+      boost::lexical_cast<T>("30924968331818141950774266662004983329883069350505541473543078852411779819810423768262381842163187048834539906993570649997"),
+      boost::lexical_cast<T>("50037649861895889944281806870581945770817562873266522821303614932966358812510072427265769282187072202250806671411937176213"),
+      boost::lexical_cast<T>("80962618193714031895056073532586929100700632223772064294846693785378138632320496195528151124350259251085346578405507826210"),
+      boost::lexical_cast<T>("131000268055609921839337880403168874871518195097038587116150308718344497444830568622793920406537331453336153249817445002423"),
+      boost::lexical_cast<T>("211962886249323953734393953935755803972218827320810651410997002503722636077151064818322071530887590704421499828222952828633"),
+      boost::lexical_cast<T>("342963154304933875573731834338924678843737022417849238527147311222067133521981633441115991937424922157757653078040397831056"),
+      boost::lexical_cast<T>("554926040554257829308125788274680482815955849738659889938144313725789769599132698259438063468312512862179152906263350659689"),
+      boost::lexical_cast<T>("897889194859191704881857622613605161659692872156509128465291624947856903121114331700554055405737435019936805984303748490745"),
+      boost::lexical_cast<T>("1452815235413449534189983410888285644475648721895169018403435938673646672720247029959992118874049947882115958890567099150434"),
+      boost::lexical_cast<T>("2350704430272641239071841033501890806135341594051678146868727563621503575841361361660546174279787382902052764874870847641179"),
+      boost::lexical_cast<T>("3803519665686090773261824444390176450610990315946847165272163502295150248561608391620538293153837330784168723765437946791613"),
+      boost::lexical_cast<T>("6154224095958732012333665477892067256746331909998525312140891065916653824402969753281084467433624713686221488640308794432792"),
+      boost::lexical_cast<T>("9957743761644822785595489922282243707357322225945372477413054568211804072964578144901622760587462044470390212405746741224405"),
+      boost::lexical_cast<T>("16111967857603554797929155400174310964103654135943897789553945634128457897367547898182707228021086758156611701046055535657197"),
+      boost::lexical_cast<T>("26069711619248377583524645322456554671460976361889270266967000202340261970332126043084329988608548802627001913451802276881602"),
+      boost::lexical_cast<T>("42181679476851932381453800722630865635564630497833168056520945836468719867699673941267037216629635560783613614497857812538799"),
+      boost::lexical_cast<T>("68251391096100309964978446045087420307025606859722438323487946038808981838031799984351367205238184363410615527949660089420401"),
+      boost::lexical_cast<T>("110433070572952242346432246767718285942590237357555606380008891875277701705731473925618404421867819924194229142447517901959200"),
+      boost::lexical_cast<T>("178684461669052552311410692812805706249615844217278044703496837914086683543763273909969771627106004287604844670397177991379601"),
+      boost::lexical_cast<T>("289117532242004794657842939580523992192206081574833651083505729789364385249494747835588176048973824211799073812844695893338801"),
+      boost::lexical_cast<T>("467801993911057346969253632393329698441821925792111695787002567703451068793258021745557947676079828499403918483241873884718402"),
+      boost::lexical_cast<T>("756919526153062141627096571973853690634028007366945346870508297492815454042752769581146123725053652711202992296086569778057203"),
+      boost::lexical_cast<T>("1224721520064119488596350204367183389075849933159057042657510865196266522836010791326704071401133481210606910779328443662775605"),
+      boost::lexical_cast<T>("1981641046217181630223446776341037079709877940526002389528019162689081976878763560907850195126187133921809903075415013440832808"),
+      boost::lexical_cast<T>("3206362566281301118819796980708220468785727873685059432185530027885348499714774352234554266527320615132416813854743457103608413"),
+      boost::lexical_cast<T>("5188003612498482749043243757049257548495605814211061821713549190574430476593537913142404461653507749054226716930158470544441221"),
+      boost::lexical_cast<T>("8394366178779783867863040737757478017281333687896121253899079218459778976308312265376958728180828364186643530784901927648049634"),
+      boost::lexical_cast<T>("13582369791278266616906284494806735565776939502107183075612628409034209452901850178519363189834336113240870247715060398192490855"),
+      boost::lexical_cast<T>("21976735970058050484769325232564213583058273190003304329511707627493988429210162443896321918015164477427513778499962325840540489"),
+      boost::lexical_cast<T>("35559105761336317101675609727370949148835212692110487405124336036528197882112012622415685107849500590668384026215022724033031344"),
+      boost::lexical_cast<T>("57535841731394367586444934959935162731893485882113791734636043664022186311322175066312007025864665068095897804714985049873571833"),
+      boost::lexical_cast<T>("93094947492730684688120544687306111880728698574224279139760379700550384193434187688727692133714165658764281830930007773906603177"),
+      boost::lexical_cast<T>("150630789224125052274565479647241274612622184456338070874396423364572570504756362755039699159578830726860179635644992823780175010"),
+      boost::lexical_cast<T>("243725736716855736962686024334547386493350883030562350014156803065122954698190550443767391293292996385624461466575000597686778187"),
+      boost::lexical_cast<T>("394356525940980789237251503981788661105973067486900420888553226429695525202946913198807090452871827112484641102219993421466953197"),
+      boost::lexical_cast<T>("638082262657836526199937528316336047599323950517462770902710029494818479901137463642574481746164823498109102568794994019153731384"),
+      boost::lexical_cast<T>("1032438788598817315437189032298124708705297018004363191791263255924514005104084376841381572199036650610593743671014987440620684581"),
+      boost::lexical_cast<T>("1670521051256653841637126560614460756304620968521825962693973285419332485005221840483956053945201474108702846239809981459774415965"),
+      boost::lexical_cast<T>("2702959839855471157074315592912585465009917986526189154485236541343846490109306217325337626144238124719296589910824968900395100546"),
+      boost::lexical_cast<T>("4373480891112124998711442153527046221314538955048015117179209826763178975114528057809293680089439598827999436150634950360169516511"),
+      boost::lexical_cast<T>("7076440730967596155785757746439631686324456941574204271664446368107025465223834275134631306233677723547296026061459919260564617057"),
+      boost::lexical_cast<T>("11449921622079721154497199899966677907638995896622219388843656194870204440338362332943924986323117322375295462212094869620734133568"),
+      boost::lexical_cast<T>("18526362353047317310282957646406309593963452838196423660508102562977229905562196608078556292556795045922591488273554788881298750625"),
+      boost::lexical_cast<T>("29976283975127038464780157546372987501602448734818643049351758757847434345900558941022481278879912368297886950485649658502032884193"),
+      boost::lexical_cast<T>("48502646328174355775063115192779297095565901573015066709859861320824664251462755549101037571436707414220478438759204447383331634818"),
+      boost::lexical_cast<T>("78478930303301394239843272739152284597168350307833709759211620078672098597363314490123518850316619782518365389244854105885364519011"),
+      boost::lexical_cast<T>("126981576631475750014906387931931581692734251880848776469071481399496762848826070039224556421753327196738843828004058553268696153829"),
+      boost::lexical_cast<T>("205460506934777144254749660671083866289902602188682486228283101478168861446189384529348075272069946979257209217248912659154060672840"),
+      boost::lexical_cast<T>("332442083566252894269656048603015447982636854069531262697354582877665624295015454568572631693823274175996053045252971212422756826669"),
+      boost::lexical_cast<T>("537902590501030038524405709274099314272539456258213748925637684355834485741204839097920706965893221155253262262501883871576817499509"),
+      boost::lexical_cast<T>("870344674067282932794061757877114762255176310327745011622992267233500110036220293666493338659716495331249315307754855083999574326178"),
+      boost::lexical_cast<T>("1408247264568312971318467467151214076527715766585958760548629951589334595777425132764414045625609716486502577570256738955576391825687"),
+      boost::lexical_cast<T>("2278591938635595904112529225028328838782892076913703772171622218822834705813645426430907384285326211817751892878011594039575966151865"),
+      boost::lexical_cast<T>("3686839203203908875430996692179542915310607843499662532720252170412169301591070559195321429910935928304254470448268332995152357977552"),
+      boost::lexical_cast<T>("5965431141839504779543525917207871754093499920413366304891874389235004007404715985626228814196262140122006363326279927034728324129417"),
+      boost::lexical_cast<T>("9652270345043413654974522609387414669404107763913028837612126559647173308995786544821550244107198068426260833774548260029880682106969"),
+      boost::lexical_cast<T>("15617701486882918434518048526595286423497607684326395142504000948882177316400502530447779058303460208548267197100828187064609006236386"),
+      boost::lexical_cast<T>("25269971831926332089492571135982701092901715448239423980116127508529350625396289075269329302410658276974528030875376447094489688343355"),
+      boost::lexical_cast<T>("40887673318809250524010619662577987516399323132565819122620128457411527941796791605717108360714118485522795227976204634159098694579741"),
+      boost::lexical_cast<T>("66157645150735582613503190798560688609301038580805243102736255965940878567193080680986437663124776762497323258851581081253588382923096"),
+      boost::lexical_cast<T>("107045318469544833137513810461138676125700361713371062225356384423352406508989872286703546023838895248020118486827785715412687077502837"),
+      boost::lexical_cast<T>("173202963620280415751017001259699364735001400294176305328092640389293285076182952967689983686963672010517441745679366796666275460425933"),
+      boost::lexical_cast<T>("280248282089825248888530811720838040860701762007547367553449024812645691585172825254393529710802567258537560232507152512078962537928770"),
+      boost::lexical_cast<T>("453451245710105664639547812980537405595703162301723672881541665201938976661355778222083513397766239269055001978186519308745237998354703"),
+      boost::lexical_cast<T>("733699527799930913528078624701375446456404924309271040434990690014584668246528603476477043108568806527592562210693671820824200536283473"),
+      boost::lexical_cast<T>("1187150773510036578167626437681912852052108086610994713316532355216523644907884381698560556506335045796647564188880191129569438534638176"),
+      boost::lexical_cast<T>("1920850301309967491695705062383288298508513010920265753751523045231108313154412985175037599614903852324240126399573862950393639070921649"),
+      boost::lexical_cast<T>("3108001074820004069863331500065201150560621097531260467068055400447631958062297366873598156121238898120887690588454054079963077605559825"),
+      boost::lexical_cast<T>("5028851376129971561559036562448489449069134108451526220819578445678740271216710352048635755736142750445127816988027917030356716676481474"),
+      boost::lexical_cast<T>("8136852450949975631422368062513690599629755205982786687887633846126372229279007718922233911857381648566015507576481971110319794282041299"),
+      boost::lexical_cast<T>("13165703827079947192981404624962180048698889314434312908707212291805112500495718070970869667593524399011143324564509888140676510958522773"),
+      boost::lexical_cast<T>("21302556278029922824403772687475870648328644520417099596594846137931484729774725789893103579450906047577158832140991859250996305240564072"),
+      boost::lexical_cast<T>("34468260105109870017385177312438050697027533834851412505302058429736597230270443860863973247044430446588302156705501747391672816199086845"),
+      boost::lexical_cast<T>("55770816383139792841788949999913921345356178355268512101896904567668081960045169650757076826495336494165460988846493606642669121439650917"),
+      boost::lexical_cast<T>("90239076488249662859174127312351972042383712190119924607198962997404679190315613511621050073539766940753763145551995354034341937638737762"),
+      boost::lexical_cast<T>("146009892871389455700963077312265893387739890545388436709095867565072761150360783162378126900035103434919224134398488960677011059078388679"),
+      boost::lexical_cast<T>("236248969359639118560137204624617865430123602735508361316294830562477440340676396673999176973574870375672987279950484314711352996717126441"),
+      boost::lexical_cast<T>("382258862231028574261100281936883758817863493280896798025390698127550201491037179836377303873609973810592211414348973275388364055795515120"),
+      boost::lexical_cast<T>("618507831590667692821237486561501624247987096016405159341685528690027641831713576510376480847184844186265198694299457590099717052512641561"),
+      boost::lexical_cast<T>("1000766693821696267082337768498385383065850589297301957367076226817577843322750756346753784720794817996857410108648430865488081108308156681"),
+      boost::lexical_cast<T>("1619274525412363959903575255059887007313837685313707116708761755507605485154464332857130265567979662183122608802947888455587798160820798242"),
+      boost::lexical_cast<T>("2620041219234060226985913023558272390379688274611009074075837982325183328477215089203884050288774480179980018911596319321075879269128954923"),
+      boost::lexical_cast<T>("4239315744646424186889488278618159397693525959924716190784599737832788813631679422061014315856754142363102627714544207776663677429949753165"),
+      boost::lexical_cast<T>("6859356963880484413875401302176431788073214234535725264860437720157972142108894511264898366145528622543082646626140527097739556699078708088"),
+      boost::lexical_cast<T>("11098672708526908600764889580794591185766740194460441455645037457990760955740573933325912682002282764906185274340684734874403234129028461253"),
+      boost::lexical_cast<T>("17958029672407393014640290882971022973839954428996166720505475178148733097849468444590811048147811387449267920966825261972142790828107169341"),
+      boost::lexical_cast<T>("29056702380934301615405180463765614159606694623456608176150512636139494053590042377916723730150094152355453195307509996846546024957135630594"),
+      boost::lexical_cast<T>("47014732053341694630045471346736637133446649052452774896655987814288227151439510822507534778297905539804721116274335258818688815785242799935"),
+      boost::lexical_cast<T>("76071434434275996245450651810502251293053343675909383072806500450427721205029553200424258508447999692160174311581845255665234840742378430529"),
+      boost::lexical_cast<T>("123086166487617690875496123157238888426499992728362157969462488264715948356469064022931793286745905231964895427856180514483923656527621230464"),
+      boost::lexical_cast<T>("199157600921893687120946774967741139719553336404271541042268988715143669561498617223356051795193904924125069739438025770149158497269999660993"),
+      boost::lexical_cast<T>("322243767409511377996442898124980028146053329132633699011731476979859617917967681246287845081939810156089965167294206284633082153797620891457"),
+      boost::lexical_cast<T>("521401368331405065117389673092721167865606665536905240054000465695003287479466298469643896877133715080215034906732232054782240651067620552450"),
+      boost::lexical_cast<T>("843645135740916443113832571217701196011659994669538939065731942674862905397433979715931741959073525236305000074026438339415322804865241443907"),
+      boost::lexical_cast<T>("1365046504072321508231222244310422363877266660206444179119732408369866192876900278185575638836207240316520034980758670394197563455932861996357"),
+      boost::lexical_cast<T>("2208691639813237951345054815528123559888926654875983118185464351044729098274334257901507380795280765552825035054785108733612886260798103440264"),
+      boost::lexical_cast<T>("3573738143885559459576277059838545923766193315082427297305196759414595291151234536087083019631488005869345070035543779127810449716730965436621"),
+      boost::lexical_cast<T>("5782429783698797410921331875366669483655119969958410415490661110459324389425568793988590400426768771422170105090328887861423335977529068876885"),
+      boost::lexical_cast<T>("9356167927584356870497608935205215407421313285040837712795857869873919680576803330075673420058256777291515175125872666989233785694260034313506"),
+      boost::lexical_cast<T>("15138597711283154281418940810571884891076433254999248128286518980333244070002372124064263820485025548713685280216201554850657121671789103190391"),
+      boost::lexical_cast<T>("24494765638867511151916549745777100298497746540040085841082376850207163750579175454139937240543282326005200455342074221839890907366049137503897"),
+      boost::lexical_cast<T>("39633363350150665433335490556348985189574179795039333969368895830540407820581547578204201061028307874718885735558275776690548029037838240694288"),
+      boost::lexical_cast<T>("64128128989018176585252040302126085488071926335079419810451272680747571571160723032344138301571590200724086190900349998530438936403887378198185"),
+      boost::lexical_cast<T>("103761492339168842018587530858475070677646106130118753779820168511287979391742270610548339362599898075442971926458625775220986965441725618892473"),
+      boost::lexical_cast<T>("167889621328187018603839571160601156165718032465198173590271441192035550962902993642892477664171488276167058117358975773751425901845612997090658"),
+      boost::lexical_cast<T>("271651113667355860622427102019076226843364138595316927370091609703323530354645264253440817026771386351610030043817601548972412867287338615983131"),
+      boost::lexical_cast<T>("439540734995542879226266673179677383009082171060515100960363050895359081317548257896333294690942874627777088161176577322723838769132951613073789"),
+      boost::lexical_cast<T>("711191848662898739848693775198753609852446309655832028330454660598682611672193522149774111717714260979387118204994178871696251636420290229056920"),
+      boost::lexical_cast<T>("1150732583658441619074960448378430992861528480716347129290817711494041692989741780046107406408657135607164206366170756194420090405553241842130709"),
+      boost::lexical_cast<T>("1861924432321340358923654223577184602713974790372179157621272372092724304661935302195881518126371396586551324571164935066116342041973532071187629"),
+      boost::lexical_cast<T>("3012657015979781977998614671955615595575503271088526286912090083586765997651677082241988924535028532193715530937335691260536432447526773913318338"),
+      boost::lexical_cast<T>("4874581448301122336922268895532800198289478061460705444533362455679490302313612384437870442661399928780266855508500626326652774489500305984505967"),
+      boost::lexical_cast<T>("7887238464280904314920883567488415793864981332549231731445452539266256299965289466679859367196428460973982386445836317587189206937027079897824305"),
+      boost::lexical_cast<T>("12761819912582026651843152463021215992154459394009937175978814994945746602278901851117729809857828389754249241954336943913841981426527385882330272"),
+      boost::lexical_cast<T>("20649058376862930966764036030509631786019440726559168907424267534212002902244191317797589177054256850728231628400173261501031188363554465780154577"),
+      boost::lexical_cast<T>("33410878289444957618607188493530847778173900120569106083403082529157749504523093168915318986912085240482480870354510205414873169790081851662484849"),
+      boost::lexical_cast<T>("54059936666307888585371224524040479564193340847128274990827350063369752406767284486712908163966342091210712498754683466915904358153636317442639426"),
+      boost::lexical_cast<T>("87470814955752846203978413017571327342367240967697381074230432592527501911290377655628227150878427331693193369109193672330777527943718169105124275"),
+      boost::lexical_cast<T>("141530751622060734789349637541611806906560581814825656065057782655897254318057662142341135314844769422903905867863877139246681886097354486547763701"),
+      boost::lexical_cast<T>("229001566577813580993328050559183134248927822782523037139288215248424756229348039797969362465723196754597099236973070811577459414041072655652887976"),
+      boost::lexical_cast<T>("370532318199874315782677688100794941155488404597348693204345997904322010547405701940310497780567966177501005104836947950824141300138427142200651677"),
+      boost::lexical_cast<T>("599533884777687896776005738659978075404416227379871730343634213152746766776753741738279860246291162932098104341810018762401600714179499797853539653"),
+      boost::lexical_cast<T>("970066202977562212558683426760773016559904631977220423547980211057068777324159443678590358026859129109599109446646966713225742014317926940054191330"),
+      boost::lexical_cast<T>("1569600087755250109334689165420751091964320859357092153891614424209815544100913185416870218273150292041697213788456985475627342728497426737907730983"),
+      boost::lexical_cast<T>("2539666290732812321893372592181524108524225491334312577439594635266884321425072629095460576300009421151296323235103952188853084742815353677961922313"),
+      boost::lexical_cast<T>("4109266378488062431228061757602275200488546350691404731331209059476699865525985814512330794573159713192993537023560937664480427471312780415869653296"),
+      boost::lexical_cast<T>("6648932669220874753121434349783799309012771842025717308770803694743584186951058443607791370873169134344289860258664889853333512214128134093831575609"),
+      boost::lexical_cast<T>("10758199047708937184349496107386074509501318192717122040102012754220284052477044258120122165446328847537283397282225827517813939685440914509701228905"),
+      boost::lexical_cast<T>("17407131716929811937470930457169873818514090034742839348872816448963868239428102701727913536319497981881573257540890717371147451899569048603532804514"),
+      boost::lexical_cast<T>("28165330764638749121820426564555948328015408227459961388974829203184152291905146959848035701765826829418856654823116544888961391585009963113234033419"),
+      boost::lexical_cast<T>("45572462481568561059291357021725822146529498262202800737847645652148020531333249661575949238085324811300429912364007262260108843484579011716766837933"),
+      boost::lexical_cast<T>("73737793246207310181111783586281770474544906489662762126822474855332172823238396621423984939851151640719286567187123807149070235069588974830000871352"),
+      boost::lexical_cast<T>("119310255727775871240403140608007592621074404751865562864670120507480193354571646282999934177936476452019716479551131069409179078554167986546767709285"),
+      boost::lexical_cast<T>("193048048973983181421514924194289363095619311241528324991492595362812366177810042904423919117787628092739003046738254876558249313623756961376768580637"),
+      boost::lexical_cast<T>("312358304701759052661918064802296955716693715993393887856162715870292559532381689187423853295724104544758719526289385945967428392177924947923536289922"),
+      boost::lexical_cast<T>("505406353675742234083432988996586318812313027234922212847655311233104925710191732091847772413511732637497722573027640822525677705801681909300304870559"),
+      boost::lexical_cast<T>("817764658377501286745351053798883274529006743228316100703818027103397485242573421279271625709235837182256442099317026768493106097979606857223841160481"),
+      boost::lexical_cast<T>("1323171012053243520828784042795469593341319770463238313551473338336502410952765153371119398122747569819754164672344667591018783803781288766524146031040"),
+      boost::lexical_cast<T>("2140935670430744807574135096594352867870326513691554414255291365439899896195338574650391023831983407002010606771661694359511889901760895623747987191521"),
+      boost::lexical_cast<T>("3464106682483988328402919139389822461211646284154792727806764703776402307148103728021510421954730976821764771444006361950530673705542184390272133222561"),
+      boost::lexical_cast<T>("5605042352914733135977054235984175329081972797846347142062056069216302203343442302671901445786714383823775378215668056310042563607303080014020120414082"),
+      boost::lexical_cast<T>("9069149035398721464379973375373997790293619082001139869868820772992704510491546030693411867741445360645540149659674418260573237312845264404292253636643"),
+      boost::lexical_cast<T>("14674191388313454600357027611358173119375591879847487011930876842209006713834988333365313313528159744469315527875342474570615800920148344418312374050725"),
+      boost::lexical_cast<T>("23743340423712176064737000986732170909669210961848626881799697615201711224326534364058725181269605105114855677535016892831189038232993608822604627687368"),
+      boost::lexical_cast<T>("38417531812025630665094028598090344029044802841696113893730574457410717938161522697424038494797764849584171205410359367401804839153141953240917001738093"),
+      boost::lexical_cast<T>("62160872235737806729831029584822514938714013803544740775530272072612429162488057061482763676067369954699026882945376260232993877386135562063521629425461"),
+      boost::lexical_cast<T>("100578404047763437394925058182912858967758816645240854669260846530023147100649579758906802170865134804283198088355735627634798716539277515304438631163554"),
+      boost::lexical_cast<T>("162739276283501244124756087767735373906472830448785595444791118602635576263137636820389565846932504758982224971301111887867792593925413077367960260589015"),
+      boost::lexical_cast<T>("263317680331264681519681145950648232874231647094026450114051965132658723363787216579296368017797639563265423059656847515502591310464690592672398891752569"),
+      boost::lexical_cast<T>("426056956614765925644437233718383606780704477542812045558843083735294299626924853399685933864730144322247648030957959403370383904390103670040359152341584"),
+      boost::lexical_cast<T>("689374636946030607164118379669031839654936124636838495672895048867953022990712069978982301882527783885513071090614806918872975214854794262712758044094153"),
+      boost::lexical_cast<T>("1115431593560796532808555613387415446435640602179650541231738132603247322617636923378668235747257928207760719121572766322243359119244897932753117196435737"),
+      boost::lexical_cast<T>("1804806230506827139972673993056447286090576726816489036904633181471200345608348993357650537629785712093273790212187573241116334334099692195465875240529890"),
+      boost::lexical_cast<T>("2920237824067623672781229606443862732526217328996139578136371314074447668225985916736318773377043640301034509333760339563359693453344590128218992436965627"),
+      boost::lexical_cast<T>("4725044054574450812753903599500310018616794055812628615041004495545648013834334910093969311006829352394308299545947912804476027787444282323684867677495517"),
+      boost::lexical_cast<T>("7645281878642074485535133205944172751143011384808768193177375809620095682060320826830288084383872992695342808879708252367835721240788872451903860114461144"),
+      boost::lexical_cast<T>("12370325933216525298289036805444482769759805440621396808218380305165743695894655736924257395390702345089651108425656165172311749028233154775588727791956661"),
+      boost::lexical_cast<T>("20015607811858599783824170011388655520902816825430165001395756114785839377954976563754545479774575337784993917305364417540147470269022027227492587906417805"),
+      boost::lexical_cast<T>("32385933745075125082113206816833138290662622266051561809614136419951583073849632300678802875165277682874645025731020582712459219297255182003081315698374466"),
+      boost::lexical_cast<T>("52401541556933724865937376828221793811565439091481726811009892534737422451804608864433348354939853020659638943036385000252606689566277209230573903604792271"),
+      boost::lexical_cast<T>("84787475302008849948050583645054932102228061357533288620624028954689005525654241165112151230105130703534283968767405582965065908863532391233655219303166737"),
+      boost::lexical_cast<T>("137189016858942574813987960473276725913793500449015015431633921489426427977458850029545499585044983724193922911803790583217672598429809600464229122907959008"),
+      boost::lexical_cast<T>("221976492160951424762038544118331658016021561806548304052257950444115433503113091194657650815150114427728206880571196166182738507293341991697884342211125745"),
+      boost::lexical_cast<T>("359165509019893999576026504591608383929815062255563319483891871933541861480571941224203150400195098151922129792374986749400411105723151592162113465119084753"),
+      boost::lexical_cast<T>("581142001180845424338065048709940041945836624062111623536149822377657294983685032418860801215345212579650336672946182915583149613016493583859997807330210498"),
+      boost::lexical_cast<T>("940307510200739423914091553301548425875651686317674943020041694311199156464256973643063951615540310731572466465321169664983560718739645176022111272449295251"),
+      boost::lexical_cast<T>("1521449511381584848252156602011488467821488310379786566556191516688856451447942006061924752830885523311222803138267352580566710331756138759882109079779505749"),
+      boost::lexical_cast<T>("2461757021582324272166248155313036893697139996697461509576233211000055607912198979704988704446425834042795269603588522245550271050495783935904220352228801000"),
+      boost::lexical_cast<T>("3983206532963909120418404757324525361518628307077248076132424727688912059360140985766913457277311357354018072741855874826116981382251922695786329432008306749"),
+      boost::lexical_cast<T>("6444963554546233392584652912637562255215768303774709585708657938688967667272339965471902161723737191396813342345444397071667252432747706631690549784237107749"),
+      boost::lexical_cast<T>("10428170087510142513003057669962087616734396610851957661841082666377879726632480951238815619001048548750831415087300271897784233814999629327476879216245414498"),
+      boost::lexical_cast<T>("16873133642056375905587710582599649871950164914626667247549740605066847393904820916710717780724785740147644757432744668969451486247747335959167429000482522247"),
+      boost::lexical_cast<T>("27301303729566518418590768252561737488684561525478624909390823271444727120537301867949533399725834288898476172520044940867235720062746965286644308216727936745"),
+      boost::lexical_cast<T>("44174437371622894324178478835161387360634726440105292156940563876511574514442122784660251180450620029046120929952789609836687206310494301245811737217210458992"),
+      boost::lexical_cast<T>("71475741101189412742769247087723124849319287965583917066331387147956301634979424652609784580176454317944597102472834550703922926373241266532456045433938395737"),
+      boost::lexical_cast<T>("115650178472812307066947725922884512209954014405689209223271951024467876149421547437270035760627074346990718032425624160540610132683735567778267782651148854729"),
+      boost::lexical_cast<T>("187125919574001719809716973010607637059273302371273126289603338172424177784400972089879820340803528664935315134898458711244533059056976834310723828085087250466"),
+      boost::lexical_cast<T>("302776098046814026876664698933492149269227316776962335512875289196892053933822519527149856101430603011926033167324082871785143191740712402088991610736236105195"),
+      boost::lexical_cast<T>("489902017620815746686381671944099786328500619148235461802478627369316231718223491617029676442234131676861348302222541583029676250797689236399715438821323355661"),
+      boost::lexical_cast<T>("792678115667629773563046370877591935597727935925197797315353916566208285652046011144179532543664734688787381469546624454814819442538401638488707049557559460856"),
+      boost::lexical_cast<T>("1282580133288445520249428042821691721926228555073433259117832543935524517370269502761209208985898866365648729771769166037844495693336090874888422488378882816517"),
+      boost::lexical_cast<T>("2075258248956075293812474413699283657523956490998631056433186460501732803022315513905388741529563601054436111241315790492659315135874492513377129537936442277373"),
+      boost::lexical_cast<T>("3357838382244520814061902456520975379450185046072064315551019004437257320392585016666597950515462467420084841013084956530503810829210583388265552026315325093890"),
+      boost::lexical_cast<T>("5433096631200596107874376870220259036974141537070695371984205464938990123414900530571986692045026068474520952254400747023163125965085075901642681564251767371263"),
+      boost::lexical_cast<T>("8790935013445116921936279326741234416424326583142759687535224469376247443807485547238584642560488535894605793267485703553666936794295659289908233590567092465153"),
+      boost::lexical_cast<T>("14224031644645713029810656196961493453398468120213455059519429934315237567222386077810571334605514604369126745521886450576830062759380735191550915154818859836416"),
+      boost::lexical_cast<T>("23014966658090829951746935523702727869822794703356214747054654403691485011029871625049155977166003140263732538789372154130496999553676394481459148745385952301569"),
+      boost::lexical_cast<T>("37238998302736542981557591720664221323221262823569669806574084338006722578252257702859727311771517744632859284311258604707327062313057129673010063900204812137985"),
+      boost::lexical_cast<T>("60253964960827372933304527244366949193044057526925884553628738741698207589282129327908883288937520884896591823100630758837824061866733524154469212645590764439554"),
+      boost::lexical_cast<T>("97492963263563915914862118965031170516265320350495554360202823079704930167534387030768610600709038629529451107411889363545151124179790653827479276545795576577539"),
+      boost::lexical_cast<T>("157746928224391288848166646209398119709309377877421438913831561821403137756816516358677493889646559514426042930512520122382975186046524177981948489191386341017093"),
+      boost::lexical_cast<T>("255239891487955204763028765174429290225574698227916993274034384901108067924350903389446104490355598143955494037924409485928126310226314831809427765737181917594632"),
+      boost::lexical_cast<T>("412986819712346493611195411383827409934884076105338432187865946722511205681167419748123598380002157658381536968436929608311101496272839009791376254928568258611725"),
+      boost::lexical_cast<T>("668226711200301698374224176558256700160458774333255425461900331623619273605518323137569702870357755802337031006361339094239227806499153841600804020665750176206357"),
+      boost::lexical_cast<T>("1081213530912648191985419587942084110095342850438593857649766278346130479286685742885693301250359913460718567974798268702550329302771992851392180275594318434818082"),
+      boost::lexical_cast<T>("1749440242112949890359643764500340810255801624771849283111666609969749752892204066023263004120717669263055598981159607796789557109271146692992984296260068611024439"),
+      boost::lexical_cast<T>("2830653773025598082345063352442424920351144475210443140761432888315880232178889808908956305371077582723774166955957876499339886412043139544385164571854387045842521"),
+      boost::lexical_cast<T>("4580094015138547972704707116942765730606946099982292423873099498285629985071093874932219309491795251986829765937117484296129443521314286237378148868114455656866960"),
+      boost::lexical_cast<T>("7410747788164146055049770469385190650958090575192735564634532386601510217249983683841175614862872834710603932893075360795469329933357425781763313439968842702709481"),
+      boost::lexical_cast<T>("11990841803302694027754477586327956381565036675175027988507631884887140202321077558773394924354668086697433698830192845091598773454671712019141462308083298359576441"),
+      boost::lexical_cast<T>("19401589591466840082804248055713147032523127250367763553142164271488650419571061242614570539217540921408037631723268205887068103388029137800904775748052141062285922"),
+      boost::lexical_cast<T>("31392431394769534110558725642041103414088163925542791541649796156375790621892138801387965463572209008105471330553461050978666876842700849820046238056135439421862363"),
+      boost::lexical_cast<T>("50794020986236374193362973697754250446611291175910555094791960427864441041463200044002536002789749929513508962276729256865734980230729987620951013804187580484148285"),
+      boost::lexical_cast<T>("82186452381005908303921699339795353860699455101453346636441756584240231663355338845390501466361958937618980292830190307844401857073430837440997251860323019906010648"),
+      boost::lexical_cast<T>("132980473367242282497284673037549604307310746277363901731233717012104672704818538889393037469151708867132489255106919564710136837304160825061948265664510600390158933"),
+      boost::lexical_cast<T>("215166925748248190801206372377344958168010201378817248367675473596344904368173877734783538935513667804751469547937109872554538694377591662502945517524833620296169581"),
+      boost::lexical_cast<T>("348147399115490473298491045414894562475320947656181150098909190608449577072992416624176576404665376671883958803044029437264675531681752487564893783189344220686328514"),
+      boost::lexical_cast<T>("563314324863738664099697417792239520643331149034998398466584664204794481441166294358960115340179044476635428350981139309819214226059344150067839300714177840982498095"),
+      boost::lexical_cast<T>("911461723979229137398188463207134083118652096691179548565493854813244058514158710983136691744844421148519387154025168747083889757741096637632733083903522061668826609"),
+      boost::lexical_cast<T>("1474776048842967801497885880999373603761983245726177947032078519018038539955325005342096807085023465625154815505006308056903103983800440787700572384617699902651324704"),
+      boost::lexical_cast<T>("2386237772822196938896074344206507686880635342417357495597572373831282598469483716325233498829867886773674202659031476803986993741541537425333305468521221964320151313"),
+      boost::lexical_cast<T>("3861013821665164740393960225205881290642618588143535442629650892849321138424808721667330305914891352398829018164037784860890097725341978213033877853138921866971476017"),
+      boost::lexical_cast<T>("6247251594487361679290034569412388977523253930560892938227223266680603736894292437992563804744759239172503220823069261664877091466883515638367183321660143831291627330"),
+      boost::lexical_cast<T>("10108265416152526419683994794618270268165872518704428380856874159529924875319101159659894110659650591571332238987107046525767189192225493851401061174799065698263103347"),
+      boost::lexical_cast<T>("16355517010639888098974029364030659245689126449265321319084097426210528612213393597652457915404409830743835459810176308190644280659109009489768244496459209529554730677"),
+      boost::lexical_cast<T>("26463782426792414518658024158648929513854998967969749699940971585740453487532494757312352026064060422315167698797283354716411469851334503341169305671258275227817834024"),
+      boost::lexical_cast<T>("42819299437432302617632053522679588759544125417235071019025069011950982099745888354964809941468470253059003158607459662907055750510443512830937550167717484757372564701"),
+      boost::lexical_cast<T>("69283081864224717136290077681328518273399124385204820718966040597691435587278383112277161967532530675374170857404743017623467220361778016172106855838975759985190398725"),
+      boost::lexical_cast<T>("112102381301657019753922131204008107032943249802439891737991109609642417687024271467241971909001000928433174016012202680530522970872221529003044406006693244742562963426"),
+      boost::lexical_cast<T>("181385463165881736890212208885336625306342374187644712456957150207333853274302654579519133876533531603807344873416945698153990191233999545175151261845669004727753362151"),
+      boost::lexical_cast<T>("293487844467538756644134340089344732339285623990084604194948259816976270961326926046761105785534532532240518889429148378684513162106221074178195667852362249470316325577"),
+      boost::lexical_cast<T>("474873307633420493534346548974681357645627998177729316651905410024310124235629580626280239662068064136047863762846094076838503353340220619353346929698031254198069687728"),
+      boost::lexical_cast<T>("768361152100959250178480889064026089984913622167813920846853669841286395196956506673041345447602596668288382652275242455523016515446441693531542597550393503668386013305"),
+      boost::lexical_cast<T>("1243234459734379743712827438038707447630541620345543237498759079865596519432586087299321585109670660804336246415121336532361519868786662312884889527248424757866455701033"),
+      boost::lexical_cast<T>("2011595611835338993891308327102733537615455242513357158345612749706882914629542593972362930557273257472624629067396578987884536384233104006416432124798818261534841714338"),
+      boost::lexical_cast<T>("3254830071569718737604135765141440985245996862858900395844371829572479434062128681271684515666943918276960875482517915520246056253019766319301321652047243019401297415371"),
+      boost::lexical_cast<T>("5266425683405057731495444092244174522861452105372257554189984579279362348691671275244047446224217175749585504549914494508130592637252870325717753776846061280936139129709"),
+      boost::lexical_cast<T>("8521255754974776469099579857385615508107448968231157950034356408851841782753799956515731961891161094026546380032432410028376648890272636645019075428893304300337436545080"),
+      boost::lexical_cast<T>("13787681438379834200595023949629790030968901073603415504224340988131204131445471231759779408115378269776131884582346904536507241527525506970736829205739365581273575674789"),
+      boost::lexical_cast<T>("22308937193354610669694603807015405539076350041834573454258697396983045914199271188275511370006539363802678264614779314564883890417798143615755904634632669881611012219869"),
+      boost::lexical_cast<T>("36096618631734444870289627756645195570045251115437988958483038385114250045644742420035290778121917633578810149197126219101391131945323650586492733840372035462884587894658"),
+      boost::lexical_cast<T>("58405555825089055539984231563660601109121601157272562412741735782097295959844013608310802148128456997381488413811905533666275022363121794202248638475004705344495600114527"),
+      boost::lexical_cast<T>("94502174456823500410273859320305796679166852272710551371224774167211546005488756028346092926250374630960298563009031752767666154308445444788741372315376740807380188009185"),
+      boost::lexical_cast<T>("152907730281912555950258090883966397788288453429983113783966509949308841965332769636656895074378831628341786976820937286433941176671567238990990010790381446151875788123712"),
+      boost::lexical_cast<T>("247409904738736056360531950204272194467455305702693665155191284116520387970821525665002988000629206259302085539829969039201607330980012683779731383105758186959255976132897"),
+      boost::lexical_cast<T>("400317635020648612310790041088238592255743759132676778939157794065829229936154295301659883075008037887643872516650906325635548507651579922770721393896139633111131764256609"),
+      boost::lexical_cast<T>("647727539759384668671321991292510786723199064835370444094349078182349617906975820966662871075637244146945958056480875364837155838631592606550452777001897820070387740389506"),
+      boost::lexical_cast<T>("1048045174780033280982112032380749378978942823968047223033506872248178847843130116268322754150645282034589830573131781690472704346283172529321174170898037453181519504646115"),
+      boost::lexical_cast<T>("1695772714539417949653434023673260165702141888803417667127855950430528465750105937234985625226282526181535788629612657055309860184914765135871626947899935273251907245035621"),
+      boost::lexical_cast<T>("2743817889319451230635546056054009544681084712771464890161362822678707313593236053503308379376927808216125619202744438745782564531197937665192801118797972726433426749681736"),
+      boost::lexical_cast<T>("4439590603858869180288980079727269710383226601574882557289218773109235779343341990738294004603210334397661407832357095801092424716112702801064428066697907999685333994717357"),
+      boost::lexical_cast<T>("7183408493178320410924526135781279255064311314346347447450581595787943092936578044241602383980138142613787027035101534546874989247310640466257229185495880726118760744399093"),
+      boost::lexical_cast<T>("11622999097037189591213506215508548965447537915921230004739800368897178872279920034979896388583348477011448434867458630347967413963423343267321657252193788725804094739116450"),
+      boost::lexical_cast<T>("18806407590215510002138032351289828220511849230267577452190381964685121965216498079221498772563486619625235461902560164894842403210733983733578886437689669451922855483515543"),
+      boost::lexical_cast<T>("30429406687252699593351538566798377185959387146188807456930182333582300837496418114201395161146835096636683896770018795242809817174157327000900543689883458177726950222631993"),
+      boost::lexical_cast<T>("49235814277468209595489570918088205406471236376456384909120564298267422802712916193422893933710321716261919358672578960137652220384891310734479430127573127629649805706147536"),
+      boost::lexical_cast<T>("79665220964720909188841109484886582592430623522645192366050746631849723640209334307624289094857156812898603255442597755380462037559048637735379973817456585807376755928779529"),
+      boost::lexical_cast<T>("128901035242189118784330680402974787998901859899101577275171310930117146442922250501047183028567478529160522614115176715518114257943939948469859403945029713437026561634927065"),
+      boost::lexical_cast<T>("208566256206910027973171789887861370591332483421746769641222057561966870083131584808671472123424635342059125869557774470898576295502988586205239377762486299244403317563706594"),
+      boost::lexical_cast<T>("337467291449099146757502470290836158590234343320848346916393368492084016526053835309718655151992113871219648483672951186416690553446928534675098781707516012681429879198633659"),
+      boost::lexical_cast<T>("546033547656009174730674260178697529181566826742595116557615426054050886609185420118390127275416749213278774353230725657315266848949917120880338159470002311925833196762340253"),
+      boost::lexical_cast<T>("883500839105108321488176730469533687771801170063443463474008794546134903135239255428108782427408863084498422836903676843731957402396845655555436941177518324607263075960973912"),
+      boost::lexical_cast<T>("1429534386761117496218850990648231216953367996806038580031624220600185789744424675546498909702825612297777197190134402501047224251346762776435775100647520636533096272723314165"),
+      boost::lexical_cast<T>("2313035225866225817707027721117764904725169166869482043505633015146320692879663930974607692130234475382275620027038079344779181653743608431991212041825038961140359348684288077"),
+      boost::lexical_cast<T>("3742569612627343313925878711765996121678537163675520623537257235746506482624088606521106601833060087680052817217172481845826405905090371208426987142472559597673455621407602242"),
+      boost::lexical_cast<T>("6055604838493569131632906432883761026403706330545002667042890250892827175503752537495714293963294563062328437244210561190605587558833979640418199184297598558813814970091890319"),
+      boost::lexical_cast<T>("9798174451120912445558785144649757148082243494220523290580147486639333658127841144016820895796354650742381254461383043036431993463924350848845186326770158156487270591499492561"),
+      boost::lexical_cast<T>("15853779289614481577191691577533518174485949824765525957623037737532160833631593681512535189759649213804709691705593604227037581022758330489263385511067756715301085561591382880"),
+      boost::lexical_cast<T>("25651953740735394022750476722183275322568193318986049248203185224171494491759434825529356085556003864547090946166976647263469574486682681338108571837837914871788356153090875441"),
+      boost::lexical_cast<T>("41505733030349875599942168299716793497054143143751575205826222961703655325391028507041891275315653078351800637872570251490507155509441011827371957348905671587089441714682258321"),
+      boost::lexical_cast<T>("67157686771085269622692645021900068819622336462737624454029408185875149817150463332571247360871656942898891584039546898753976729996123693165480529186743586458877797867773133762"),
+      boost::lexical_cast<T>("108663419801435145222634813321616862316676479606489199659855631147578805142541491839613138636187310021250692221912117150244483885505564704992852486535649258045967239582455392083"),
+      boost::lexical_cast<T>("175821106572520414845327458343516931136298816069226824113885039333453954959691955172184385997058966964149583805951664048998460615501688398158333015722392844504845037450228525845"),
+      boost::lexical_cast<T>("284484526373955560067962271665133793452975295675716023773740670481032760102233447011797524633246276985400276027863781199242944501007253103151185502258042102550812277032683917928"),
+      boost::lexical_cast<T>("460305632946475974913289730008650724589274111744942847887625709814486715061925402183981910630305243949549859833815445248241405116508941501309518517980434947055657314482912443773"),
+      boost::lexical_cast<T>("744790159320431534981252001673784518042249407420658871661366380295519475164158849195779435263551520934950135861679226447484349617516194604460704020238477049606469591515596361701"),
+      boost::lexical_cast<T>("1205095792266907509894541731682435242631523519165601719548992090110006190226084251379761345893856764884499995695494671695725754734025136105770222538218911996662126905998508805474"),
+      boost::lexical_cast<T>("1949885951587339044875793733356219760673772926586260591210358470405525665390243100575540781157408285819450131557173898143210104351541330710230926558457389046268596497514105167175"),
+      boost::lexical_cast<T>("3154981743854246554770335465038655003305296445751862310759350560515531855616327351955302127051265050703950127252668569838935859085566466816001149096676301042930723403512613972649"),
+      boost::lexical_cast<T>("5104867695441585599646129198394874763979069372338122901969709030921057521006570452530842908208673336523400258809842467982145963437107797526232075655133690089199319901026719139824"),
+      boost::lexical_cast<T>("8259849439295832154416464663433529767284365818089985212729059591436589376622897804486145035259938387227350386062511037821081822522674264342233224751809991132130043304539333112473"),
+      boost::lexical_cast<T>("13364717134737417754062593861828404531263435190428108114698768622357646897629468257016987943468611723750750644872353505803227785959782061868465300406943681221329363205566052252297"),
+      boost::lexical_cast<T>("21624566574033249908479058525261934298547801008518093327427828213794236274252366061503132978728550110978101030934864543624309608482456326210698525158753672353459406510105385364770"),
+      boost::lexical_cast<T>("34989283708770667662541652387090338829811236198946201442126596836151883171881834318520120922197161834728851675807218049427537394442238388079163825565697353574788769715671437617067"),
+      boost::lexical_cast<T>("56613850282803917571020710912352273128359037207464294769554425049946119446134200380023253900925711945706952706742082593051847002924694714289862350724451025928248176225776822981837"),
+      boost::lexical_cast<T>("91603133991574585233562363299442611958170273406410496211681021886098002618016034698543374823122873780435804382549300642479384397366933102369026176290148379503036945941448260598904"),
+      boost::lexical_cast<T>("148216984274378502804583074211794885086529310613874790981235446936044122064150235078566628724048585726142757089291383235531231400291627816658888527014599405431285122167225083580741"),
+      boost::lexical_cast<T>("239820118265953088038145437511237497044699584020285287192916468822142124682166269777110003547171459506578561471840683878010615797658560919027914703304747784934322068108673344179645"),
+      boost::lexical_cast<T>("388037102540331590842728511723032382131228894634160078174151915758186246746316504855676632271220045232721318561132067113541847197950188735686803230319347190365607190275898427760386"),
+      boost::lexical_cast<T>("627857220806284678880873949234269879175928478654445365367068384580328371428482774632786635818391504739299880032972750991552462995608749654714717933624094975299929258384571771940031"),
+      boost::lexical_cast<T>("1015894323346616269723602460957302261307157373288605443541220300338514618174799279488463268089611549972021198594104818105094310193558938390401521163943442165665536448660470199700417"),
+      boost::lexical_cast<T>("1643751544152900948604476410191572140483085851943050808908288684918842989603282054121249903908003054711321078627077569096646773189167688045116239097567537140965465707045041971640448"),
+      boost::lexical_cast<T>("2659645867499517218328078871148874401790243225231656252449508985257357607778081333609713171997614604683342277221182387201741083382726626435517760261510979306631002155705512171340865"),
+      boost::lexical_cast<T>("4303397411652418166932555281340446542273329077174707061357797670176200597381363387730963075905617659394663355848259956298387856571894314480633999359078516447596467862750554142981313"),
+      boost::lexical_cast<T>("6963043279151935385260634152489320944063572302406363313807306655433558205159444721340676247903232264078005633069442343500128939954620940916151759620589495754227470018456066314322178"),
+      boost::lexical_cast<T>("11266440690804353552193189433829767486336901379581070375165104325609758802540808109071639323808849923472668988917702299798516796526515255396785758979668012201823937881206620457303491"),
+      boost::lexical_cast<T>("18229483969956288937453823586319088430400473681987433688972410981043317007700252830412315571712082187550674621987144643298645736481136196312937518600257507956051407899662686771625669"),
+      boost::lexical_cast<T>("29495924660760642489647013020148855916737375061568504064137515306653075810241060939483954895520932111023343610904846943097162533007651451709723277579925520157875345780869307228929160"),
+      boost::lexical_cast<T>("47725408630716931427100836606467944347137848743555937753109926287696392817941313769896270467233014298574018232891991586395808269488787648022660796180183028113926753680531994000554829"),
+      boost::lexical_cast<T>("77221333291477573916747849626616800263875223805124441817247441594349468628182374709380225362753946409597361843796838529492970802496439099732384073760108548271802099461401301229483989"),
+      boost::lexical_cast<T>("124946741922194505343848686233084744611013072548680379570357367882045861446123688479276495829986960708171380076688830115888779071985226747755044869940291576385728853141933295230038818"),
+      boost::lexical_cast<T>("202168075213672079260596535859701544874888296353804821387604809476395330074306063188656721192740907117768741920485668645381749874481665847487428943700400124657530952603334596459522807"),
+      boost::lexical_cast<T>("327114817135866584604445222092786289485901368902485200957962177358441191520429751667933217022727867825940121997174498761270528946466892595242473813640691701043259805745267891689561625"),
+      boost::lexical_cast<T>("529282892349538663865041757952487834360789665256290022345566986834836521594735814856589938215468774943708863917660167406652278820948558442729902757341091825700790758348602488149084432"),
+      boost::lexical_cast<T>("856397709485405248469486980045274123846691034158775223303529164193277713115165566524523155238196642769648985914834666167922807767415451037972376570981783526744050564093870379838646057"),
+      boost::lexical_cast<T>("1385680601834943912334528737997761958207480699415065245649096151028114234709901381381113093453665417713357849832494833574575086588364009480702279328322875352444841322442472867987730489"),
+      boost::lexical_cast<T>("2242078311320349160804015718043036082054171733573840468952625315221391947825066947905636248691862060483006835747329499742497894355779460518674655899304658879188891886536343247826376546"),
+      boost::lexical_cast<T>("3627758913155293073138544456040798040261652432988905714601721466249506182534968329286749342145527478196364685579824333317072980944143469999376935227627534231633733208978816115814107035"),
+      boost::lexical_cast<T>("5869837224475642233942560174083834122315824166562746183554346781470898130360035277192385590837389538679371521327153833059570875299922930518051591126932193110822625095515159363640483581"),
+      boost::lexical_cast<T>("9497596137630935307081104630124632162577476599551651898156068247720404312895003606479134932982917016875736206906978166376643856244066400517428526354559727342456358304493975479454590616"),
+      boost::lexical_cast<T>("15367433362106577541023664804208466284893300766114398081710415029191302443255038883671520523820306555555107728234131999436214731543989331035480117481491920453278983400009134843095074197"),
+      boost::lexical_cast<T>("24865029499737512848104769434333098447470777365666049979866483276911706756150042490150655456803223572430843935141110165812858587788055731552908643836051647795735341704503110322549664813"),
+      boost::lexical_cast<T>("40232462861844090389128434238541564732364078131780448061576898306103009199405081373822175980623530127985951663375242165249073319332045062588388761317543568249014325104512245165644739010"),
+      boost::lexical_cast<T>("65097492361581603237233203672874663179834855497446498041443381583014715955555123863972831437426753700416795598516352331061931907120100794141297405153595216044749666809015355488194403823"),
+      boost::lexical_cast<T>("105329955223425693626361637911416227912198933629226946103020279889117725154960205237795007418050283828402747261891594496311005226452145856729686166471138784293763991913527600653839142833"),
+      boost::lexical_cast<T>("170427447585007296863594841584290891092033789126673444144463661472132441110515329101767838855477037528819542860407946827372937133572246650870983571624734000338513658722542956142033546656"),
+      boost::lexical_cast<T>("275757402808432990489956479495707119004232722755900390247483941361250166265475534339562846273527321357222290122299541323683942360024392507600669738095872784632277650636070556795872689489"),
+      boost::lexical_cast<T>("446184850393440287353551321079998010096266511882573834391947602833382607375990863441330685129004358886041832982707488151056879493596639158471653309720606784970791309358613512937906236145"),
+      boost::lexical_cast<T>("721942253201873277843507800575705129100499234638474224639431544194632773641466397780893531402531680243264123105007029474740821853621031666072323047816479569603068959994684069733778925634"),
+      boost::lexical_cast<T>("1168127103595313565197059121655703139196765746521048059031379147028015381017457261222224216531536039129305956087714517625797701347217670824543976357537086354573860269353297582671685161779"),
+      boost::lexical_cast<T>("1890069356797186843040566922231408268297264981159522283670810691222648154658923659003117747934067719372570079192721547100538523200838702490616299405353565924176929229347981652405464087413"),
+      boost::lexical_cast<T>("3058196460392500408237626043887111407494030727680570342702189838250663535676380920225341964465603758501876035280436064726336224548056373315160275762890652278750789498701279235077149249192"),
+      boost::lexical_cast<T>("4948265817189687251278192966118519675791295708840092626373000529473311690335304579228459712399671477874446114473157611826874747748895075805776575168244218202927718728049260887482613336605"),
+      boost::lexical_cast<T>("8006462277582187659515819010005631083285326436520662969075190367723975226011685499453801676865275236376322149753593676553210972296951449120936850931134870481678508226750540122559762585797"),
+      boost::lexical_cast<T>("12954728094771874910794011976124150759076622145360755595448190897197286916346990078682261389264946714250768264226751288380085720045846524926713426099379088684606226954799801010042375922402"),
+      boost::lexical_cast<T>("20961190372354062570309830986129781842361948581881418564523381264921262142358675578136063066130221950627090413980344964933296692342797974047650277030513959166284735181550341132602138508199"),
+      boost::lexical_cast<T>("33915918467125937481103842962253932601438570727242174159971572162118549058705665656818324455395168664877858678207096253313382412388644498974363703129893047850890962136350142142644514430601"),
+      boost::lexical_cast<T>("54877108839480000051413673948383714443800519309123592724494953427039811201064341234954387521525390615504949092187441218246679104731442473022013980160407007017175697317900483275246652938800"),
+      boost::lexical_cast<T>("88793027306605937532517516910637647045239090036365766884466525589158360259770006891772711976920559280382807770394537471560061517120086971996377683290300054868066659454250625417891167369401"),
+      boost::lexical_cast<T>("143670136146085937583931190859021361489039609345489359608961479016198171460834348126727099498445949895887756862581978689806740621851529445018391663450707061885242356772151108693137820308201"),
+      boost::lexical_cast<T>("232463163452691875116448707769659008534278699381855126493428004605356531720604355018499811475366509176270564632976516161366802138971616417014769346741007116753309016226401734111028987677602"),
+      boost::lexical_cast<T>("376133299598777812700379898628680370023318308727344486102389483621554703181438703145226910973812459072158321495558494851173542760823145862033161010191714178638551372998552842804166807985803"),
+      boost::lexical_cast<T>("608596463051469687816828606398339378557597008109199612595817488226911234902043058163726722449178968248428886128535011012540344899794762279047930356932721295391860389224954576915195795663405"),
+      boost::lexical_cast<T>("984729762650247500517208505027019748580915316836544098698206971848465938083481761308953633422991427320587207624093505863713887660617908141081091367124435474030411762223507419719362603649208"),
+      boost::lexical_cast<T>("1593326225701717188334037111425359127138512324945743711294024460075377172985524819472680355872170395569016093752628516876254232560412670420129021724057156769422272151448461996634558399312613"),
+      boost::lexical_cast<T>("2578055988351964688851245616452378875719427641782287809992231431923843111069006580781633989295161822889603301376722022739968120221030578561210113091181592243452683913671969416353921002961821"),
+      boost::lexical_cast<T>("4171382214053681877185282727877738002857939966728031521286255891999220284054531400254314345167332218458619395129350539616222352781443248981339134815238749012874956065120431412988479402274434"),
+      boost::lexical_cast<T>("6749438202405646566036528344330116878577367608510319331278487323923063395123537981035948334462494041348222696506072562356190473002473827542549247906420341256327639978792400829342400405236255"),
+      boost::lexical_cast<T>("10920820416459328443221811072207854881435307575238350852564743215922283679178069381290262679629826259806842091635423101972412825783917076523888382721659090269202596043912832242330879807510689"),
+      boost::lexical_cast<T>("17670258618864975009258339416537971760012675183748670183843230539845347074301607362326211014092320301155064788141495664328603298786390904066437630628079431525530236022705233071673280212746944"),
+      boost::lexical_cast<T>("28591079035324303452480150488745826641447982758987021036407973755767630753479676743616473693722146560961906879776918766301016124570307980590326013349738521794732832066618065314004160020257633"),
+      boost::lexical_cast<T>("46261337654189278461738489905283798401460657942735691220251204295612977827781284105942684707814466862116971667918414430629619423356698884656763643977817953320263068089323298385677440233004577"),
+      boost::lexical_cast<T>("74852416689513581914218640394029625042908640701722712256659178051380608581260960849559158401536613423078878547695333196930635547927006865247089657327556475114995900155941363699681600253262210"),
+      boost::lexical_cast<T>("121113754343702860375957130299313423444369298644458403476910382346993586409042244955501843109351080285195850215613747627560254971283705749903853301305374428435258968245264662085359040486266787"),
+      boost::lexical_cast<T>("195966171033216442290175770693343048487277939346181115733569560398374194990303205805061001510887693708274728763309080824490890519210712615150942958632930903550254868401206025785040640739528997"),
+      boost::lexical_cast<T>("317079925376919302666132900992656471931647237990639519210479942745367781399345450760562844620238773993470578978922828452051145490494418365054796259938305331985513836646470687870399681225795784"),
+      boost::lexical_cast<T>("513046096410135744956308671685999520418925177336820634944049503143741976389648656565623846131126467701745307742231909276542036009705130980205739218571236235535768705047676713655440321965324781"),
+      boost::lexical_cast<T>("830126021787055047622441572678655992350572415327460154154529445889109757788994107326186690751365241695215886721154737728593181500199549345260535478509541567521282541694147401525840003191120565"),
+      boost::lexical_cast<T>("1343172118197190792578750244364655512769497592664280789098578949032851734178642763891810536882491709396961194463386647005135217509904680325466274697080777803057051246741824115181280325156445346"),
+      boost::lexical_cast<T>("2173298139984245840201191817043311505120070007991740943253108394921961491967636871217997227633856951092177081184541384733728399010104229670726810175590319370578333788435971516707120328347565911"),
+      boost::lexical_cast<T>("3516470258181436632779942061407967017889567600656021732351687343954813226146279635109807764516348660489138275647928031738863616520008909996193084872671097173635385035177795631888400653504011257"),
+      boost::lexical_cast<T>("5689768398165682472981133878451278523009637608647762675604795738876774718113916506327804992150205611581315356832469416472592015530113139666919895048261416544213718823613767148595520981851577168"),
+      boost::lexical_cast<T>("9206238656347119105761075939859245540899205209303784407956483082831587944260196141437612756666554272070453632480397448211455632050122049663112979920932513717849103858791562780483921635355588425"),
+      boost::lexical_cast<T>("14896007054512801578742209818310524063908842817951547083561278821708362662374112647765417748816759883651768989312866864684047647580235189330032874969193930262062822682405329929079442617207165593"),
+      boost::lexical_cast<T>("24102245710859920684503285758169769604808048027255331491517761904539950606634308789203030505483314155722222621793264312895503279630357238993145854890126443979911926541196892709563364252562754018"),
+      boost::lexical_cast<T>("38998252765372722263245495576480293668716890845206878575079040726248313269008421436968448254300074039373991611106131177579550927210592428323178729859320374241974749223602222638642806869769919611"),
+      boost::lexical_cast<T>("63100498476232642947748781334650063273524938872462210066596802630788263875642730226171478759783388195096214232899395490475054206840949667316324584749446818221886675764799115348206171122332673629"),
+      boost::lexical_cast<T>("102098751241605365210994276911130356942241829717669088641675843357036577144651151663139927014083462234470205844005526668054605134051542095639503314608767192463861424988401337986848977992102593240"),
+      boost::lexical_cast<T>("165199249717838008158743058245780420215766768590131298708272645987824841020293881889311405773866850429566420076904922158529659340892491762955827899358214010685748100753200453335055149114435266869"),
+      boost::lexical_cast<T>("267298000959443373369737335156910777158008598307800387349948489344861418164945033552451332787950312664036625920910448826584264474944033858595331213966981203149609525741601791321904127106537860109"),
+      boost::lexical_cast<T>("432497250677281381528480393402691197373775366897931686058221135332686259185238915441762738561817163093603045997815370985113923815836525621551159113325195213835357626494802244656959276220973126978"),
+      boost::lexical_cast<T>("699795251636724754898217728559601974531783965205732073408169624677547677350183948994214071349767475757639671918725819811698188290780559480146490327292176416984967152236404035978863403327510987087"),
+      boost::lexical_cast<T>("1132292502314006136426698121962293171905559332103663759466390760010233936535422864435976809911584638851242717916541190796812112106617085101697649440617371630820324778731206280635822679548484114065"),
+      boost::lexical_cast<T>("1832087753950730891324915850521895146437343297309395832874560384687781613885606813430190881261352114608882389835267010608510300397397644581844139767909548047805291930967610316614686082875995101152"),
+      boost::lexical_cast<T>("2964380256264737027751613972484188318342902629413059592340951144698015550421029677866167691172936753460125107751808201405322412504014729683541789208526919678625616709698816597250508762424479215217"),
+      boost::lexical_cast<T>("4796468010215467919076529823006083464780245926722455425215511529385797164306636491296358572434288868069007497587075212013832712901412374265385928976436467726430908640666426913865194845300474316369"),
+      boost::lexical_cast<T>("7760848266480204946828143795490271783123148556135515017556462674083812714727666169162526263607225621529132605338883413419155125405427103948927718184963387405056525350365243511115703607724953531586"),
+      boost::lexical_cast<T>("12557316276695672865904673618496355247903394482857970442771974203469609879034302660458884836041514489598140102925958625432987838306839478214313647161399855131487433991031670424980898453025427847955"),
+      boost::lexical_cast<T>("20318164543175877812732817413986627031026543038993485460328436877553422593761968829621411099648740111127272708264842038852142963712266582163241365346363242536543959341396913936096602060750381379541"),
+      boost::lexical_cast<T>("32875480819871550678637491032482982278929937521851455903100411081023032472796271490080295935690254600725412811190800664285130802019106060377555012507763097668031393332428584361077500513775809227496"),
+      boost::lexical_cast<T>("53193645363047428491370308446469609309956480560844941363428847958576455066558240319701707035338994711852685519455642703137273765731372642540796377854126340204575352673825498297174102574526190607037"),
+      boost::lexical_cast<T>("86069126182918979170007799478952591588886418082696397266529259039599487539354511809782002971029249312578098330646443367422404567750478702918351390361889437872606746006254082658251603088301999834533"),
+      boost::lexical_cast<T>("139262771545966407661378107925422200898842898643541338629958106998175942605912752129483710006368244024430783850102086070559678333481851345459147768216015778077182098680079580955425705662828190441570"),
+      boost::lexical_cast<T>("225331897728885386831385907404374792487729316726237735896487366037775430145267263939265712977397493337008882180748529437982082901232330048377499158577905215949788844686333663613677308751130190276103"),
+      boost::lexical_cast<T>("364594669274851794492764015329796993386572215369779074526445473035951372751180016068749422983765737361439666030850615508541761234714181393836646926793920994026970943366413244569103014413958380717673"),
+      boost::lexical_cast<T>("589926567003737181324149922734171785874301532096016810422932839073726802896447280008015135961163230698448548211599144946523844135946511442214146085371826209976759788052746908182780323165088570993776"),
+      boost::lexical_cast<T>("954521236278588975816913938063968779260873747465795884949378312109678175647627296076764558944928968059888214242449760455065605370660692836050793012165747204003730731419160152751883337579046951711449"),
+      boost::lexical_cast<T>("1544447803282326157141063860798140565135175279561812695372311151183404978544074576084779694906092198758336762454048905401589449506607204278264939097537573413980490519471907060934663660744135522705225"),
+      boost::lexical_cast<T>("2498969039560915132957977798862109344396049027027608580321689463293083154191701872161544253851021166818224976696498665856655054877267897114315732109703320617984221250891067213686546998323182474416674"),
+      boost::lexical_cast<T>("4043416842843241290099041659660249909531224306589421275694000614476488132735776448246323948757113365576561739150547571258244504383875101392580671207240894031964711770362974274621210659067317997121899"),
+      boost::lexical_cast<T>("6542385882404156423057019458522359253927273333617029856015690077769571286927478320407868202608134532394786715847046237114899559261142998506896403316944214649948933021254041488307757657390500471538573"),
+      boost::lexical_cast<T>("10585802725247397713156061118182609163458497640206451131709690692246059419663254768654192151365247897971348454997593808373144063645018099899477074524185108681913644791617015762928968316457818468660472"),
+      boost::lexical_cast<T>("17128188607651554136213080576704968417385770973823480987725380770015630706590733089062060353973382430366135170844640045488043622906161098406373477841129323331862577812871057251236725973848318940199045"),
+      boost::lexical_cast<T>("27713991332898951849369141694887577580844268614029932119435071462261690126253987857716252505338630328337483625842233853861187686551179198305850552365314432013776222604488073014165694290306137408859517"),
+      boost::lexical_cast<T>("44842179940550505985582222271592545998230039587853413107160452232277320832844720946778312859312012758703618796686873899349231309457340296712224030206443755345638800417359130265402420264154456349058562"),
+      boost::lexical_cast<T>("72556171273449457834951363966480123579074308201883345226595523694539010959098708804494565364650643087041102422529107753210418996008519495018074582571758187359415023021847203279568114554460593757918079"),
+      boost::lexical_cast<T>("117398351213999963820533586238072669577304347789736758333755975926816331791943429751272878223962655845744721219215981652559650305465859791730298612778201942705053823439206333544970534818615050106976641"),
+      boost::lexical_cast<T>("189954522487449421655484950204552793156378655991620103560351499621355342751042138555767443588613298932785823641745089405770069301474379286748373195349960130064468846461053536824538649373075643864894720"),
+      boost::lexical_cast<T>("307352873701449385476018536442625462733683003781356861894107475548171674542985568307040321812575954778530544860961071058329719606940239078478671808128162072769522669900259870369509184191690693971871361"),
+      boost::lexical_cast<T>("497307396188898807131503486647178255890061659772976965454458975169527017294027706862807765401189253711316368502706160464099788908414618365227045003478122202833991516361313407194047833564766337836766081"),
+      boost::lexical_cast<T>("804660269890348192607522023089803718623744663554333827348566450717698691837013275169848087213765208489846913363667231522429508515354857443705716811606284275603514186261573277563557017756457031808637442"),
+      boost::lexical_cast<T>("1301967666079246999739025509736981974513806323327310792803025425887225709131040982032655852614954462201163281866373391986529297423769475808932761815084406478437505702622886684757604851321223369645403523"),
+      boost::lexical_cast<T>("2106627935969595192346547532826785693137550986881644620151591876604924400968054257202503939828719670691010195230040623508958805939124333252638478626690690754041019888884459962321161869077680401454040965"),
+      boost::lexical_cast<T>("3408595602048842192085573042563767667651357310208955412954617302492150110099095239235159792443674132892173477096414015495488103362893809061571240441775097232478525591507346647078766720398903771099444488"),
+      boost::lexical_cast<T>("5515223538018437384432120575390553360788908297090600033106209179097074511067149496437663732272393803583183672326454639004446909302018142314209719068465787986519545480391806609399928589476584172553485453"),
+      boost::lexical_cast<T>("8923819140067279576517693617954321028440265607299555446060826481589224621166244735672823524716067936475357149422868654499935012664911951375780959510240885218998071071899153256478695309875487943652929941"),
+      boost::lexical_cast<T>("14439042678085716960949814193344874389229173904390155479167035660686299132233394232110487256988461740058540821749323293504381921966930093689990678578706673205517616552290959865878623899352072116206415394"),
+      boost::lexical_cast<T>("23362861818152996537467507811299195417669439511689710925227862142275523753399638967783310781704529676533897971172191948004316934631842045065771638088947558424515687624190113122357319209227560059859345335"),
+      boost::lexical_cast<T>("37801904496238713498417322004644069806898613416079866404394897802961822885633033199893798038692991416592438792921515241508698856598772138755762316667654231630033304176481072988235943108579632176065760729"),
+      boost::lexical_cast<T>("61164766314391710035884829815943265224568052927769577329622759945237346639032672167677108820397521093126336764093707189513015791230614183821533954756601790054548991800671186110593262317807192235925106064"),
+      boost::lexical_cast<T>("98966670810630423534302151820587335031466666343849443734017657748199169524665705367570906859090512509718775557015222431021714647829386322577296271424256021684582295977152259098829205426386824411990866793"),
+      boost::lexical_cast<T>("160131437125022133570186981636530600256034719271619021063640417693436516163698377535248015679488033602845112321108929620534730439060000506398830226180857811739131287777823445209422467744194016647915972857"),
+      boost::lexical_cast<T>("259098107935652557104489133457117935287501385615468464797658075441635685688364082902818922538578546112563887878124152051556445086889386828976126497605113833423713583754975704308251673170580841059906839650"),
+      boost::lexical_cast<T>("419229545060674690674676115093648535543536104887087485861298493135072201852062460438066938218066579715409000199233081672091175525949387335374956723785971645162844871532799149517674140914774857707822812507"),
+      boost::lexical_cast<T>("678327652996327247779165248550766470831037490502555950658956568576707887540426543340885860756645125827972888077357233723647620612838774164351083221391085478586558455287774853825925814085355698767729652157"),
+      boost::lexical_cast<T>("1097557198057001938453841363644415006374573595389643436520255061711780089392489003778952798974711705543381888276590315395738796138788161499726039945177057123749403326820574003343599955000130556475552464664"),
+      boost::lexical_cast<T>("1775884851053329186233006612195181477205611085892199387179211630288487976932915547119838659731356831371354776353947549119386416751626935664077123166568142602335961782108348857169525769085486255243282116821"),
+      boost::lexical_cast<T>("2873442049110331124686847975839596483580184681281842823699466692000268066325404550898791458706068536914736664630537864515125212890415097163803163111745199726085365108928922860513125724085616811718834581485"),
+      boost::lexical_cast<T>("4649326900163660310919854588034777960785795767174042210878678322288756043258320098018630118437425368286091440984485413634511629642042032827880286278313342328421326891037271717682651493171103066962116698306"),
+      boost::lexical_cast<T>("7522768949273991435606702563874374444365980448455885034578145014289024109583724648917421577143493905200828105615023278149636842532457129991683449390058542054506691999966194578195777217256719878680951279791"),
+      boost::lexical_cast<T>("12172095849437651746526557151909152405151776215629927245456823336577780152842044746936051695580919273486919546599508691784148472174499162819563735668371884382928018891003466295878428710427822945643067978097"),
+      boost::lexical_cast<T>("19694864798711643182133259715783526849517756664085812280034968350866804262425769395853473272724413178687747652214531969933785314706956292811247185058430426437434710890969660874074205927684542824324019257888"),
+      boost::lexical_cast<T>("31866960648149294928659816867692679254669532879715739525491791687444584415267814142789524968305332452174667198814040661717933786881455455630810920726802310820362729781973127169952634638112365769967087235985"),
+      boost::lexical_cast<T>("51561825446860938110793076583476206104187289543801551805526760038311388677693583538642998241029745630862414851028572631651719101588411748442058105785232737257797440672942788044026840565796908594291106493873"),
+      boost::lexical_cast<T>("83428786095010233039452893451168885358856822423517291331018551725755973092961397681432523209335078083037082049842613293369652888469867204072869026512035048078160170454915915213979475203909274364258193729858"),
+      boost::lexical_cast<T>("134990611541871171150245970034645091463044111967318843136545311764067361770654981220075521450364823713899496900871185925021371990058278952514927132297267785335957611127858703258006315769706182958549300223731"),
+      boost::lexical_cast<T>("218419397636881404189698863485813976821900934390836134467563863489823334863616378901508044659699901796936578950713799218391024878528146156587796158809302833414117781582774618471985790973615457322807493953589"),
+      boost::lexical_cast<T>("353410009178752575339944833520459068284945046358154977604109175253890696634271360121583566110064725510836075851584985143412396868586425109102723291106570618750075392710633321729992106743321640281356794177320"),
+      boost::lexical_cast<T>("571829406815633979529643697006273045106845980748991112071673038743714031497887739023091610769764627307772654802298784361803421747114571265690519449915873452164193174293407940201977897716937097604164288130909"),
+      boost::lexical_cast<T>("925239415994386554869588530526732113391791027107146089675782213997604728132159099144675176879829352818608730653883769505215818615700996374793242741022444070914268567004041261931970004460258737885521082308229"),
+      boost::lexical_cast<T>("1497068822810020534399232227533005158498637007856137201747455252741318759630046838167766787649593980126381385456182553867019240362815567640483762190938317523078461741297449202133947902177195835489685370439138"),
+      boost::lexical_cast<T>("2422308238804407089268820758059737271890428034963283291423237466738923487762205937312441964529423332944990116110066323372235058978516564015277004931960761593992730308301490464065917906637454573375206452747367"),
+      boost::lexical_cast<T>("3919377061614427623668052985592742430389065042819420493170692719480242247392252775480208752179017313071371501566248877239254299341332131655760767122899079117071192049598939666199865808814650408864891823186505"),
+      boost::lexical_cast<T>("6341685300418834712936873743652479702279493077782703784593930186219165735154458712792650716708440646016361617676315200611489358319848695671037772054859840711063922357900430130265783715452104982240098275933872"),
+      boost::lexical_cast<T>("10261062362033262336604926729245222132668558120602124277764622905699407982546711488272859468887457959087733119242564077850743657661180827326798539177758919828135114407499369796465649524266755391104990099120377"),
+      boost::lexical_cast<T>("16602747662452097049541800472897701834948051198384828062358553091918573717701170201065510185595898605104094736918879278462233015981029522997836311232618760539199036765399799926731433239718860373345088375054249"),
+      boost::lexical_cast<T>("26863810024485359386146727202142923967616609318986952340123175997617981700247881689338369654483356564191827856161443356312976673642210350324634850410377680367334151172899169723197082763985615764450078474174626"),
+      boost::lexical_cast<T>("43466557686937456435688527675040625802564660517371780402481729089536555417949051890403879840079255169295922593080322634775209689623239873322471161642996440906533187938298969649928516003704476137795166849228875"),
+      boost::lexical_cast<T>("70330367711422815821835254877183549770181269836358732742604905087154537118196933579742249494562611733487750449241765991088186363265450223647106012053374121273867339111198139373125598767690091902245245323403501")
+   };
+   static const std::vector<T> data(numbers, numbers + sizeof(numbers) / sizeof(numbers[0]));
+
+   return data;
+}
+
+template <class T>
+std::vector<std::pair<T, T> > const& fibonacci_numbers_permution_1()
+{
+   typedef boost::mpl::int_<
+      ((std::numeric_limits<T>::digits <= 16) ? 16 : ((std::numeric_limits<T>::digits <= 32) ? 32 : (std::numeric_limits<T>::digits <= 64) ? 64 : 0))
+   > tag_type;
+
+   static std::vector<std::pair<T, T> > data;
+   static bool init = false;
+   if(!init)
+   {
+      init = true;
+      for(unsigned i = 0; i < fibonacci_numbers<T>(tag_type()).size() - 1; ++i)
+         data.push_back(std::make_pair(fibonacci_numbers<T>(tag_type())[i], fibonacci_numbers<T>(tag_type())[i + 1]));
+   }
+   return data;
+}
+
+template <class T>
+std::vector<std::pair<T, T> > const& fibonacci_numbers_permution_2()
+{
+   typedef boost::mpl::int_<
+      ((std::numeric_limits<T>::digits <= 16) ? 16 : ((std::numeric_limits<T>::digits <= 32) ? 32 : (std::numeric_limits<T>::digits <= 64) ? 64 : 0))
+   > tag_type;
+
+   static std::vector<std::pair<T, T> > data;
+   static bool init = false;
+   if(!init)
+   {
+      init = true;
+      for(unsigned i = 0; i < fibonacci_numbers<T>(tag_type()).size(); ++i)
+         for(unsigned j = 0; j < fibonacci_numbers<T>(tag_type()).size(); ++j)
+            data.push_back(std::make_pair(fibonacci_numbers<T>(tag_type())[i], fibonacci_numbers<T>(tag_type())[j]));
+   }
+   return data;
+}
+
+template <class T>
+std::vector<std::pair<T, T> > const & trivial_gcd_test_cases()
+{
+   static const std::pair<T, T> a[] = {
+      std::pair<T, T>(0, 0),
+      std::pair<T, T>(0, 832040u),
+      std::pair<T, T>(832040u, 0),
+      std::pair<T, T>(1u << 15, 1u << 4),
+      std::pair<T, T>(1u << 3, 1u << 14),
+      std::pair<T, T>(832040u, 832040u),
+      std::pair<T, T>(991u * 3 * 7, 991u),
+      std::pair<T, T>(991u * 2, 991u),
+   };
+   static const std::vector<std::pair<T, T> > data(a, a + sizeof(a) / sizeof(a[0]));
+   return data;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/html/boostbook.css b/src/boost/libs/math/reporting/performance/html/boostbook.css
new file mode 100644
index 00000000..d42b3c02
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/html/boostbook.css
@@ -0,0 +1,700 @@
+
+/*=============================================================================
+Copyright (c) 2004 Joel de Guzman
+http://spirit.sourceforge.net/
+
+Copyright 2013 Niall Douglas additions for colors and alignment.
+Copyright 2013 Paul A. Bristow additions for more colors and alignments.
+
+Distributed under the Boost Software License, Version 1.0. (See accompany-
+ing file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+=============================================================================*/
+
+/*=============================================================================
+Body defaults
+=============================================================================*/
+
+    body
+    {
+        margin: 1em;
+        font-family: sans-serif;
+    }
+
+/*=============================================================================
+Paragraphs
+=============================================================================*/
+
+    p
+    {
+        text-align: left;
+        font-size: 10pt;
+        line-height: 1.15;
+    }
+
+/*=============================================================================
+Program listings
+=============================================================================*/
+
+    /* Code on paragraphs */
+    p tt.computeroutput
+    {
+        font-size: 9pt;
+    }
+
+    pre.synopsis
+    {
+        font-size: 9pt;
+        margin: 1pc 4% 0pc 4%;
+        padding: 0.5pc 0.5pc 0.5pc 0.5pc;
+    }
+
+    .programlisting,
+    .screen
+    {
+        font-size: 9pt;
+        display: block;
+        margin: 1pc 4% 0pc 4%;
+        padding: 0.5pc 0.5pc 0.5pc 0.5pc;
+    }
+
+    /* Program listings in tables don't get borders */
+    td .programlisting,
+    td .screen
+    {
+        margin: 0pc 0pc 0pc 0pc;
+        padding: 0pc 0pc 0pc 0pc;
+    }
+
+/*=============================================================================
+Headings
+=============================================================================*/
+
+    h1, h2, h3, h4, h5, h6
+    {
+        text-align: left;
+        margin: 1em 0em 0.5em 0em;
+        font-weight: bold;
+    }
+
+    h1 { font-size: 140%; }
+    h2 { font-weight: bold; font-size: 140%; }
+    h3 { font-weight: bold; font-size: 130%; }
+    h4 { font-weight: bold; font-size: 120%; }
+    h5 { font-weight: normal; font-style: italic; font-size: 110%; }
+    h6 { font-weight: normal; font-style: italic; font-size: 100%; }
+
+    /* Top page titles */
+    title,
+    h1.title,
+    h2.title
+    h3.title,
+    h4.title,
+    h5.title,
+    h6.title,
+    .refentrytitle
+    {
+        font-weight: bold;
+        margin-bottom: 1pc;
+    }
+
+    h1.title { font-size: 140% }
+    h2.title { font-size: 140% }
+    h3.title { font-size: 130% }
+    h4.title { font-size: 120% }
+    h5.title { font-size: 110% }
+    h6.title { font-size: 100% }
+
+    .section h1
+    {
+        margin: 0em 0em 0.5em 0em;
+        font-size: 140%;
+    }
+
+    .section h2 { font-size: 140% }
+    .section h3 { font-size: 130% }
+    .section h4 { font-size: 120% }
+    .section h5 { font-size: 110% }
+    .section h6 { font-size: 100% }
+
+    /* Code on titles */
+    h1 tt.computeroutput { font-size: 140% }
+    h2 tt.computeroutput { font-size: 140% }
+    h3 tt.computeroutput { font-size: 130% }
+    h4 tt.computeroutput { font-size: 130% }
+    h5 tt.computeroutput { font-size: 130% }
+    h6 tt.computeroutput { font-size: 130% }
+
+
+/*=============================================================================
+Author
+=============================================================================*/
+
+    h3.author
+    {
+        font-size: 100%
+    }
+
+/*=============================================================================
+Lists
+=============================================================================*/
+
+    li
+    {
+        font-size: 10pt;
+        line-height: 1.3;
+    }
+
+    /* Unordered lists */
+    ul
+    {
+        text-align: left;
+    }
+
+    /* Ordered lists */
+    ol
+    {
+        text-align: left;
+    }
+
+/*=============================================================================
+Links
+=============================================================================*/
+
+    a
+    {
+        text-decoration: none; /* no underline */
+    }
+
+    a:hover
+    {
+        text-decoration: underline;
+    }
+
+/*=============================================================================
+Spirit style navigation
+=============================================================================*/
+
+    .spirit-nav
+    {
+        text-align: right;
+    }
+
+    .spirit-nav a
+    {
+        color: white;
+        padding-left: 0.5em;
+    }
+
+    .spirit-nav img
+    {
+        border-width: 0px;
+    }
+
+/*=============================================================================
+Copyright footer
+=============================================================================*/
+    .copyright-footer
+    {
+        text-align: right;
+        font-size: 70%;
+    }
+
+    .copyright-footer p
+    {
+        text-align: right;
+        font-size: 80%;
+    }
+
+/*=============================================================================
+Table of contents
+=============================================================================*/
+
+    div.toc
+    {
+       margin: 1pc 4% 0pc 4%;
+       padding: 0.1pc 1pc 0.1pc 1pc;
+       font-size: 80%;
+       line-height: 1.15;
+    }
+
+    .boost-toc
+    {
+       float: right;
+       padding: 0.5pc;
+    }
+
+    /* Code on toc */
+    .toc .computeroutput { font-size: 120% }
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+    /* No margin on nested menus */
+
+    .toc dl dl { margin: 0; }
+
+/*=============================================================================
+Tables
+=============================================================================*/
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+    .table-title,
+    div.table p.title
+    {
+        margin-left: 4%;
+        padding-right: 0.5em;
+        padding-left: 0.5em;
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+    .informaltable table,
+    .table table
+    {
+        width: 92%;
+        margin-left: 4%;
+        margin-right: 4%;
+    }
+
+    div.informaltable table,
+    div.table table
+    {
+        padding: 4px;
+    }
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+    /* Table Cells */
+    div.informaltable table tr td,
+    div.table table tr td
+    {
+        padding: 0.5em;
+        text-align: left;
+        font-size: 9pt;
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+
+    div.informaltable table tr th,
+    div.table table tr th
+    {
+        padding: 0.5em 0.5em 0.5em 0.5em;
+        border: 1pt solid white;
+        font-size: 80%;
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+    table.simplelist
+    {
+        width: auto !important;
+        margin: 0em !important;
+        padding: 0em !important;
+        border: none !important;
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+    table.simplelist td
+    {
+        margin: 0em !important;
+        padding: 0em !important;
+        text-align: left !important;
+        font-size: 9pt !important;
+        border: none !important;
+    }
+
+/*=============================================================================
+Blurbs
+=============================================================================*/
+
+    div.note,
+    div.tip,
+    div.important,
+    div.caution,
+    div.warning,
+    p.blurb
+    {
+        font-size: 9pt; /* A little bit smaller than the main text */
+        line-height: 1.2;
+        display: block;
+        margin: 1pc 4% 0pc 4%;
+        padding: 0.5pc 0.5pc 0.5pc 0.5pc;
+    }
+
+    p.blurb img
+    {
+        padding: 1pt;
+    }
+
+/*=============================================================================
+Variable Lists
+=============================================================================*/
+
+    div.variablelist
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+        font-weight: bold;
+        font-size: 10pt;
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+    div.variablelist table tbody tr td
+    {
+        text-align: left;
+        vertical-align: top;
+        padding: 0em 2em 0em 0em;
+        font-size: 10pt;
+        margin: 0em 0em 0.5em 0em;
+        line-height: 1;
+    }
+
+    div.variablelist dl dt
+    {
+        margin-bottom: 0.2em;
+    }
+
+    div.variablelist dl dd
+    {
+        margin: 0em 0em 0.5em 2em;
+        font-size: 10pt;
+    }
+
+    div.variablelist table tbody tr td p,
+    div.variablelist dl dd p
+    {
+        margin: 0em 0em 0.5em 0em;
+        line-height: 1;
+    }
+
+/*=============================================================================
+Misc
+=============================================================================*/
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+    /* Title of books and articles in bibliographies */
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+    span.underline
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+        text-decoration: underline;
+    }
+
+    span.strikethrough
+    {
+        text-decoration: line-through;
+    }
+
+    /* Copyright, Legal Notice */
+    div div.legalnotice p
+    {
+        text-align: left
+    }
+
+/*=============================================================================
+Colors
+=============================================================================*/
+
+    @media screen
+    {
+        body {
+            background-color: #FFFFFF;
+            color: #000000;
+        }
+
+    /* Syntax Highlighting */
+        .keyword { color: #0000AA; }
+        .identifier { color: #000000; }
+        .special { color: #707070; }
+        .preprocessor { color: #402080; }
+        .char { color: teal; }
+        .comment { color: #800000; }
+        .string { color: teal; }
+        .number { color: teal; }
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+        .dk_grey_bkd { background-color: #999999; }
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+    /* Links */
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+        a .char, a .comment, a .string, a .number
+        {
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+        a:visited, a:visited .keyword, a:visited .identifier,
+        a:visited .special, a:visited .preprocessor a:visited .char,
+        a:visited .comment, a:visited .string, a:visited .number
+        {
+            color: #9c5a9c;
+        }
+
+        h1 a, h2 a, h3 a, h4 a, h5 a, h6 a,
+        h1 a:hover, h2 a:hover, h3 a:hover, h4 a:hover, h5 a:hover, h6 a:hover,
+        h1 a:visited, h2 a:visited, h3 a:visited, h4 a:visited, h5 a:visited, h6 a:visited
+        {
+            text-decoration: none; /* no underline */
+            color: #000000;
+        }
+
+    /* Copyright, Legal Notice */
+        .copyright
+        {
+            color: #666666;
+            font-size: small;
+        }
+
+        div div.legalnotice p
+        {
+            color: #666666;
+        }
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+    /* Program listing */
+        pre.synopsis
+        {
+            border: 1px solid #DCDCDC;
+        }
+
+        .programlisting,
+        .screen
+        {
+            border: 1px solid #DCDCDC;
+        }
+
+        td .programlisting,
+        td .screen
+        {
+            border: 0px solid #DCDCDC;
+        }
+
+    /* Blurbs */
+        div.note,
+        div.tip,
+        div.important,
+        div.caution,
+        div.warning,
+        p.blurb
+        {
+            border: 1px solid #DCDCDC;
+        }
+
+    /* Table of contents */
+        div.toc
+        {
+            border: 1px solid #DCDCDC;
+        }
+
+    /* Tables */
+        div.informaltable table tr td,
+        div.table table tr td
+        {
+            border: 1px solid #DCDCDC;
+        }
+
+        div.informaltable table tr th,
+        div.table table tr th
+        {
+            background-color: #F0F0F0;
+            border: 1px solid #DCDCDC;
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+        .copyright-footer
+        {
+            color: #8F8F8F;
+        }
+
+    /* Misc */
+        span.highlight
+        {
+            color: #00A000;
+        }
+    }
+
+    @media print
+    {
+    /* Links */
+        a
+        {
+            color: black;
+        }
+
+        a:visited
+        {
+            color: black;
+        }
+
+        .spirit-nav
+        {
+            display: none;
+        }
+
+    /* Program listing */
+        pre.synopsis
+        {
+            border: 1px solid gray;
+        }
+
+        .programlisting,
+        .screen
+        {
+            border: 1px solid gray;
+        }
+
+        td .programlisting,
+        td .screen
+        {
+            border: 0px solid #DCDCDC;
+        }
+
+    /* Table of contents */
+        div.toc
+        {
+            border: 1px solid gray;
+        }
+
+        .informaltable table,
+        .table table
+        {
+            border: 1px solid gray;
+            border-collapse: collapse;
+        }
+
+    /* Tables */
+        div.informaltable table tr td,
+        div.table table tr td
+        {
+            border: 1px solid gray;
+        }
+
+        div.informaltable table tr th,
+        div.table table tr th
+        {
+            border: 1px solid gray;
+        }
+
+        table.simplelist tr td
+        {
+            border: none !important;
+        }
+
+    /* Misc */
+        span.highlight
+        {
+            font-weight: bold;
+        }
+    }
+
+/*=============================================================================
+Images
+=============================================================================*/
+
+    span.inlinemediaobject img
+    {
+        vertical-align: middle;
+    }
+
+/*==============================================================================
+Super and Subscript: style so that line spacing isn't effected, see
+http://www.adobe.com/cfusion/communityengine/index.cfm?event=showdetails&productId=1&postId=5341
+==============================================================================*/
+
+sup,
+sub {
+height: 0;
+line-height: 1;
+vertical-align: baseline;
+position: relative;
+
+}
+
+/* For internet explorer: */
+
+* html sup,
+* html sub {
+vertical-align: bottom;
+}
+
+sup {
+bottom: 1ex;
+}
+
+sub {
+top: .5ex;
+}
+
+/*==============================================================================
+Indexes: pretty much the same as the TOC.
+==============================================================================*/
+
+    .index
+    {
+       font-size: 80%;
+       padding-top: 0px;
+       padding-bottom: 0px;
+       margin-top: 0px;
+       margin-bottom: 0px;
+       margin-left: 0px;
+    }
+
+    .index ul
+    {
+       padding-left: 3em;
+    }
+
+    .index p
+    {
+       padding: 2px;
+       margin: 2px;
+    }
+
+    .index-entry-level-0
+    {
+        font-weight: bold;
+    }
+
+    .index em
+    {
+        font-weight: bold;
+    }
+
+
+/*==============================================================================
+Alignment and coloring use 'role' feature, available from Quickbook 1.6 up.
+Added from Niall Douglas for role color and alignment.
+http://article.gmane.org/gmane.comp.lib.boost.devel/243318
+*/
+
+/* Add text alignment (see http://www.w3schools.com/cssref/pr_text_text-align.asp) */
+span.aligncenter
+{
+  display: inline-block; width: 100%; text-align: center;
+}
+span.alignright
+{
+  display: inline-block; width: 100%; text-align: right;
+}
+/* alignleft is the default. */
+span.alignleft
+{
+  display: inline-block; width: 100%; text-align: left;
+}
+
+/* alignjustify stretches the word spacing so that each line has equal width
+within a chosen fraction of page width (here arbitrarily 20%).
+*Not* useful inside table items as the column width remains the total string width.
+Nor very useful, except to temporarily restrict the width.
+*/
+span.alignjustify
+{
+  display: inline-block; width: 20%; text-align: justify;
+}
+
+/* Text colors.
+Names at http://www.w3.org/TR/2002/WD-css3-color-20020219/ 4.3. X11 color keywords.
+Quickbook Usage: [role red Some red text]
+
+*/
+span.red { inline-block; color: red; }
+span.green { color: green; }
+span.lime { color: #00FF00; }
+span.blue { color: blue; }
+span.navy { color: navy; }
+span.yellow { color: yellow; }
+span.magenta { color: magenta; }
+span.indigo { color: #4B0082; }
+span.cyan { color: cyan; }
+span.purple { color: purple; }
+span.gold { color: gold; }
+span.silver { color: silver; } /* lighter gray */
+span.gray { color: #808080; } /* light gray */
diff --git a/src/boost/libs/math/reporting/performance/html/index.html b/src/boost/libs/math/reporting/performance/html/index.html
new file mode 100644
index 00000000..0d3f2b48
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/html/index.html
@@ -0,0 +1,36552 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Special Function and Distribution Performance Report</title>
+<link rel="stylesheet" href="boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="index.html" title="Special Function and Distribution Performance Report">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td>
+<td align="center"><a href="../../../../../index.html">Home</a></td>
+<td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td>
+<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
+<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
+<td align="center"><a href="../../../../../more/index.htm">More</a></td>
+</tr></table>
+<hr>
+<div class="spirit-nav"></div>
+<div class="article">
+<div class="titlepage">
+<div>
+<div><h2 class="title">
+<a name="special_function_and_distributio"></a>Special Function and Distribution Performance Report</h2></div>
+<div><div class="legalnotice">
+<a name="special_function_and_distributio.legal"></a><p>
+        Distributed under the Boost Software License, Version 1.0. (See accompanying
+        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
+      </p>
+</div></div>
+</div>
+<hr>
+</div>
+<div class="toc">
+<p><b>Table of Contents</b></p>
+<dl>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64">Compiler
+    Comparison on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_linux">Compiler
+    Comparison on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64">Compiler
+    Option Comparison on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_Windows_x64">Distribution
+    performance comparison for different performance options with GNU C++ version
+    5.3.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_linux">Distribution
+    performance comparison for different performance options with GNU C++ version
+    5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64">Distribution
+    performance comparison for different performance options with Intel C++ C++0x
+    mode version 1600 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Distribution
+    performance comparison for different performance options with Microsoft Visual
+    C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_Windows_x64">Distribution
+    performance comparison with GNU C++ version 5.3.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux">Distribution
+    performance comparison with GNU C++ version 5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64">Distribution
+    performance comparison with Intel C++ C++0x mode version 1600 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Distribution
+    performance comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64">Library
+    Comparison with GNU C++ version 5.3.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_linux">Library
+    Comparison with GNU C++ version 5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64">Library
+    Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Library
+    Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64">Polynomial
+    Method Comparison with GNU C++ version 5.3.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_linux">Polynomial
+    Method Comparison with GNU C++ version 5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64">Polynomial
+    Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Polynomial
+    Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64">Rational
+    Method Comparison with GNU C++ version 5.3.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_linux">Rational
+    Method Comparison with GNU C++ version 5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64">Rational
+    Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Rational
+    Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Clang_version_3_8_0_trunk_256686_on_linux">gcd
+    method comparison with Clang version 3.8.0 (trunk 256686) on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_GNU_C_version_5_3_0_on_linux">gcd
+    method comparison with GNU C++ version 5.3.0 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux">gcd
+    method comparison with Intel C++ C++0x mode version 1500 on linux</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">gcd
+    method comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
+<dt><span class="section"><a href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_1_on_Windows_x64">gcd
+    method comparison with Microsoft Visual C++ version 14.1 on Windows x64</a></span></dt>
+</dl>
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64" title="Compiler Comparison on Windows x64">Compiler
+    Comparison on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64.table_Compiler_Comparison_on_Windows_x64"></a><p class="title"><b>Table&#160;1.&#160;Compiler Comparison on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Compiler Comparison on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Microsoft Visual C++ version 14.0<br> boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 5.3.0<br> boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 5.3.0<br> boost 1.61<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Intel C++ C++0x mode version 1600<br> boost 1.61
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                assoc_laguerre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (180ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                assoc_legendre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (173ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (96ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.78<br> (382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (219ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (101ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta (incomplete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.03<br> (1096ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (666ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (362ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cbrt
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.21<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.07<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (404ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.78<br> (1016ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (442ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (365ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.16<br> (638ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (202ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (488ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (513ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (409ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (76ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (747ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.43<br> (6743ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (715ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (419ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.49<br> (3494ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (333ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">16.76<br> (11212ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (1346ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (669ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">15.35<br> (10266ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (403ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (229ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                digamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.75<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (329ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (350ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (176ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.57<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (525ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (640ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (295ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (1155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.91<br> (1733ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (986ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (596ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (721ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.07<br> (1079ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (514ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (352ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rc
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rd
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (332ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (348ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (266ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (190ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rf
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (71ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rj
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (344ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.96<br> (532ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (180ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.92<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.41<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.07<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint (En)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (106ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.10<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (192ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (393ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (255ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (149ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (706ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (1288ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (997ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (521ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (429ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (248ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (154ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (703ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (1225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (971ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (515ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.13<br> (1218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (711ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (389ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (2193ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.81<br> (4085ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.27<br> (3303ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1452ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (518ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.94<br> (1179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (694ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (401ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (2045ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.80<br> (4058ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (2572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1447ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_cn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.72<br> (499ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (306ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (134ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_dn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (262ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.68<br> (530ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.27<br> (327ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (144ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_sn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.73<br> (511ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (333ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (137ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                laguerre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (133ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (364ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (396ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (340ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (383ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre Q
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (427ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (512ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (430ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (455ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (73ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.07<br> (224ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (77ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                polygamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (3773ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (3320ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (7270ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3246ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_bessel
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (1005ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (1325ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (931ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (857ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_neumann
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (1827ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (3483ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1685ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (1702ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.03<br> (238ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma (incomplete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (276ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (552ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (379ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (219ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                trigamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.88<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                zeta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.83<br> (345ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (90ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Compiler_Comparison_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_linux" title="Compiler Comparison on linux">Compiler
+    Comparison on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Compiler_Comparison_on_linux.table_Compiler_Comparison_on_linux"></a><p class="title"><b>Table&#160;2.&#160;Compiler Comparison on linux</b></p>
+<div class="table-contents"><table class="table" summary="Compiler Comparison on linux">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 5.3.0<br> boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                GNU C++ version 5.3.0<br> boost 1.61<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                assoc_laguerre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (263ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (194ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                assoc_legendre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (258ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (101ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.71<br> (734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (156ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta (incomplete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.12<br> (1796ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (575ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cbrt
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.47<br> (1410ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (406ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.38<br> (893ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (264ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.69<br> (1071ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (398ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (106ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.86<br> (4589ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (669ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.17<br> (3673ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (361ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (1478ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (597ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (484ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (220ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                digamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (39ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (358ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (185ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.32<br> (805ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (347ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (2154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (783ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3 (complete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (1172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (525ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rc
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rd
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (233ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rf
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (63ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rj
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (206ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.60<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (38ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint (En)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (147ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (203ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (1577ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (704ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (508ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (201ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (1841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (751ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (1715ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (634ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (5742ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2224ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.66<br> (1736ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (653ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.44<br> (5451ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2237ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_cn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.77<br> (476ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (172ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_dn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.80<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (172ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_sn
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.86<br> (492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (172ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                laguerre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (128ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (399ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (345ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre Q
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (496ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (422ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (117ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                polygamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.93<br> (2885ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (734ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_bessel
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (1563ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (915ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_neumann
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (3745ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1744ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.69<br> (354ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (96ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma (incomplete)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.35<br> (744ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (316ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                trigamma
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                zeta
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (509ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (188ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64" title="Compiler Option Comparison on Windows x64">Compiler
+    Option Comparison on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64.table_Compiler_Option_Comparison_on_Windows_x64"></a><p class="title"><b>Table&#160;3.&#160;Compiler Option Comparison on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Compiler Option Comparison on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                cl /Od (x86 build)
+              </p>
+            </th>
+<th>
+              <p>
+                cl /arch:sse2 /Ox (x86 build)
+              </p>
+            </th>
+<th>
+              <p>
+                cl /Ox (x64 build)
+              </p>
+            </th>
+<th>
+              <p>
+                icl /Ox (x64 build)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                boost::math::cbrt
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">18.29<br> (256ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.29<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.14<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                boost::math::cyl_bessel_j (integer orders)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.03<br> (742ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                boost::math::ibeta_inv
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.32<br> (6583ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (1963ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1957ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1523ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_Windows_x64" title="Distribution performance comparison for different performance options with GNU C++ version 5.3.0 on Windows x64">Distribution
+    performance comparison for different performance options with GNU C++ version
+    5.3.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_Windows_x64"></a><p class="title"><b>Table&#160;4.&#160;Distribution performance comparison for different performance options
+      with GNU C++ version 5.3.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
+      with GNU C++ version 5.3.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;<br> digits10&lt;10&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> float<br> promote_float&lt;false&gt;
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (379ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (147ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (323ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (148ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (2180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (1382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (1123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1071ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.12<br> (1122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (658ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (485ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (272ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (143ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.00<br> (5174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (2921ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (2301ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1294ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (56ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (7ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (506ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (285ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (191ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (144ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.37<br> (1275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (774ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (592ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (539ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (62ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (30ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (113ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (155ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (78ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.08<br> (988ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.36<br> (572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (459ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (242ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (392ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (158ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (2910ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (1601ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (1413ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1274ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (483ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (291ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (271ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (244ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (316ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (204ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (176ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (1425ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (960ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (693ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (688ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (35ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (27ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (11511ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (5944ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5910ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (6213ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (11018ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5748ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5726ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (6016ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (70322ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (96730ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (95955ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (126152ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.98<br> (485ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (317ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (163ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (166ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (133ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (1235ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (917ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (602ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (542ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (484ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (339ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (272ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (285ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (334ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (212ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (177ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (1487ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (1055ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (747ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (699ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (87ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (34ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (2170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (2189ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (1915ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1459ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (60ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (58ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (41ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (99ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (93ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (100ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (126ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (52ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (55ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (43ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.75<br> (1713ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.77<br> (1001ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (750ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (361ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (437ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (181ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (165ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (8682ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (5084ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (3965ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3507ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.23<br> (2366ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (1565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (1291ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (733ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.24<br> (1774ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (1142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (1073ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (547ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.96<br> (50346ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (31142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (27101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12728ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.92<br> (6813ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (4481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (3457ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1736ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (1043ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (722ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (647ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (417ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.34<br> (49579ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.39<br> (26501ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (17507ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7817ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.39<br> (2083ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (1286ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (1079ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (615ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.07<br> (1689ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (1031ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (887ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (550ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.94<br> (33446ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.21<br> (18763ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (14570ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8483ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.82<br> (8822ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.44<br> (5639ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (4634ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2311ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.72<br> (6702ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (4382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (3688ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1803ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.76<br> (91176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (53475ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.03<br> (38889ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19158ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (76ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (53ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (54ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (54ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (91ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (79ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (118ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (94ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (1094ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (655ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (592ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (552ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (38ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (62ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (438ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (414ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (435ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (318ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (99ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (3849ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (3502ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (2485ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1981ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (877ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (466ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (444ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (368ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.30<br> (387ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (168ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (1549ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (915ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (883ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (772ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (81ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (144ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (147ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (117ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_linux" title="Distribution performance comparison for different performance options with GNU C++ version 5.3.0 on linux">Distribution
+    performance comparison for different performance options with GNU C++ version
+    5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_linux.table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;5.&#160;Distribution performance comparison for different performance options
+      with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
+      with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;<br> digits10&lt;10&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> float<br> promote_float&lt;false&gt;
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.32<br> (452ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (136ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.93<br> (355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.72<br> (2863ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (1192ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (976ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (769ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.12<br> (1133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (657ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (509ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (275ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (376ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (146ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (5047ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (3017ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (2444ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1378ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.01<br> (545ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (136ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.81<br> (362ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.88<br> (1416ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (729ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (533ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (365ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (39ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (65ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (65ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.28<br> (1028ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (456ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (240ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.92<br> (409ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (171ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (140ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (2899ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (1556ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (1420ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1118ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.60<br> (619ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (228ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (172ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.00<br> (480ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (120ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.14<br> (1971ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (860ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (611ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (476ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (40ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (11779ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (6423ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (6458ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6294ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (11384ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6054ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (6107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (6534ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (57820ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (89233ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (89729ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52921ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.55<br> (546ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (245ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (183ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (120ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.42<br> (342ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (100ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.59<br> (1378ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (740ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (555ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (384ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.53<br> (610ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (173ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.94<br> (477ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (173ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.65<br> (1870ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (573ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (512ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.46<br> (2105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (2074ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (1894ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (854ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (69ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (69ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.48<br> (1733ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.66<br> (1028ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (768ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (387ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.51<br> (384ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (153ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (9167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (5278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (3953ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3291ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.86<br> (2715ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (1421ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (1196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (703ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.99<br> (2036ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (1179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (1041ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (510ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.19<br> (63495ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (29566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.00<br> (24524ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12234ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.22<br> (7258ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.63<br> (4515ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.03<br> (3492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1719ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.29<br> (1275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (705ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (645ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (387ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.10<br> (51391ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.72<br> (26920ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (17494ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7241ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (2583ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (1364ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (1131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (654ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.91<br> (2102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (1099ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (985ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (537ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.47<br> (39838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (19939ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (15247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8916ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.50<br> (9817ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.77<br> (6036ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (5428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2180ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.25<br> (7422ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.77<br> (4838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.32<br> (4054ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1745ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.46<br> (100206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.24<br> (59572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (41463ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18366ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (110ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (67ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.39<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.06<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (64ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.97<br> (1120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (562ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (487ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (377ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.68<br> (471ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (433ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (281ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (3697ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (3440ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (2339ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1740ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.37<br> (1517ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (463ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (238ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.55<br> (716ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (198ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (129ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.85<br> (2557ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (817ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (527ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (108ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (189ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (109ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64" title="Distribution performance comparison for different performance options with Intel C++ C++0x mode version 1600 on Windows x64">Distribution
+    performance comparison for different performance options with Intel C++ C++0x
+    mode version 1600 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><p class="title"><b>Table&#160;6.&#160;Distribution performance comparison for different performance options
+      with Intel C++ C++0x mode version 1600 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
+      with Intel C++ C++0x mode version 1600 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;<br> digits10&lt;10&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> float<br> promote_float&lt;false&gt;
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (27ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.30<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (64ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (871ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (603ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (405ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.66<br> (644ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (473ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (242ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (96ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (3067ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (2201ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1160ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (226ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (193ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (610ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (291ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.95<br> (566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (403ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (192ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (1265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (972ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (785ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.68<br> (190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (177ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (62ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (625ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (417ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (309ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (5958ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5921ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (6119ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (5681ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5646ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (5949ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (35994ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (35907ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.30<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.03<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (58ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.36<br> (647ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (424ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (274ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (163ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (115ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (62ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (620ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (443ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (321ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (39ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (902ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (844ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (588ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.21<br> (964ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.29<br> (686ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (300ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (4806ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (3526ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2665ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.73<br> (1240ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (975ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (455ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.73<br> (1053ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (836ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (386ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (24612ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (18500ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7178ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (3877ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (3057ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1389ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (555ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (495ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (312ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.85<br> (22440ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (15474ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5830ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (1278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (935ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (465ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (1035ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (753ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (392ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.08<br> (18251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (12664ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5924ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.86<br> (5298ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (4117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1853ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.84<br> (4062ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (3229ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1429ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.48<br> (48842ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (34580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14027ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (56ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (446ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (387ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (290ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (186ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (187ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (1409ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (1078ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (979ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (331ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (302ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (192ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (84ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (623ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (619ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (444ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (41ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Distribution performance comparison for different performance options with Microsoft Visual C++ version 14.0 on Windows x64">Distribution
+    performance comparison for different performance options with Microsoft Visual
+    C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;7.&#160;Distribution performance comparison for different performance options
+      with Microsoft Visual C++ version 14.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
+      with Microsoft Visual C++ version 14.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;<br> digits10&lt;10&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> float<br> promote_float&lt;false&gt;
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (105ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (87ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (1127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (894ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (627ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.32<br> (682ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (573ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (294ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (3249ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (2602ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1428ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (231ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (168ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (66ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (741ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (551ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (375ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (643ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (516ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (265ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (116ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (1464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (1503ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (294ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (147ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (586ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (503ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (6896ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (6830ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6577ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (6855ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (6774ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34866ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (38984ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35017ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (269ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (219ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (119ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (778ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (587ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (501ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (151ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (86ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.34<br> (946ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (571ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (404ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (60ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1138ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (1053ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (888ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (39ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (63ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.62<br> (1081ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (832ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (412ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (200ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (205ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (120ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (5462ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (4355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3571ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.67<br> (1449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (1212ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (543ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (1186ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (1009ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (450ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.39<br> (29111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.81<br> (24149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8580ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.78<br> (4617ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (3633ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1662ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (607ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (552ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (350ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.89<br> (27110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.60<br> (18124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6974ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (1382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (1167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (564ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (1087ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (952ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (447ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.76<br> (20066ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (15826ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7268ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (6005ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (4878ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2655ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (4582ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (3828ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1813ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.91<br> (56269ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (40598ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19366ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (30ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (77ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (71ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (599ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (532ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (362ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (230ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (221ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (67ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (2020ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (1464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1391ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (463ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (238ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (241ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (111ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (839ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (868ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (487ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (66ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (73ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_Windows_x64" title="Distribution performance comparison with GNU C++ version 5.3.0 on Windows x64">Distribution
+    performance comparison with GNU C++ version 5.3.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_Windows_x64.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><p class="title"><b>Table&#160;8.&#160;Distribution performance comparison with GNU C++ version 5.3.0 on Windows
+      x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison with GNU C++ version 5.3.0 on Windows
+      x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                DCDFLIB
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (379ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (526ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (323ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (2180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.32<br> (11501ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (1122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (658ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (822ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (5174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2921ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.38<br> (12786ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (506ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (285ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (248ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (1275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (774ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.13<br> (5518ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (988ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (747ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (392ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (2910ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1601ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.08<br> (9729ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (483ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (291ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (242ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (316ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (204ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (1425ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (960ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (731ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (11511ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5944ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (11018ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5748ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (70322ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (96730ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (485ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (317ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (166ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (1235ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (917ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (484ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (339ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (334ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (1487ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1055ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (2189ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (99ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (1713ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (1001ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (840ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (437ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (184ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (8682ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5084ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.36<br> (17091ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (2366ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1565ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (1774ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1142ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (50346ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31142ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.45<br> (6813ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.21<br> (4481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (721ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (1043ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (722ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.26<br> (49579ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (26501ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15221ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (2083ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1286ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (1581ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (1689ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1031ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (33446ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18763ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18799ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.36<br> (8822ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (5639ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3743ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (6702ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4382ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (91176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53475ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (56248ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (76ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.62<br> (231ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">12.96<br> (648ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (251ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (1094ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (655ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.63<br> (3032ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (438ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (414ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (3849ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3502ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (877ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (466ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (541ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (387ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (1549ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (915ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.26<br> (3894ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (144ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Distribution performance comparison with GNU C++ version 5.3.0 on linux">Distribution
+    performance comparison with GNU C++ version 5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;9.&#160;Distribution performance comparison with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Boost<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                GSL
+              </p>
+            </th>
+<th>
+              <p>
+                Rmath 3.0.2
+              </p>
+            </th>
+<th>
+              <p>
+                DCDFLIB
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (452ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.66<br> (500ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (308ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (449ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (241ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (2863ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1192ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">13.48<br> (16063ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">15.15<br> (18064ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.43<br> (8852ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (1133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (657ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (920ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (768ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (807ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (376ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (5047ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (3017ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2040ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.21<br> (12659ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">59.65<br> (2565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">59.21<br> (2546ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (545ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">16.73<br> (3999ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (293ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (239ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.20<br> (362ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (1416ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (729ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">51.52<br> (37557ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (1644ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.71<br> (5623ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (65ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (1028ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (921ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (653ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (637ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (409ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (171ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (192ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (2899ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1556ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.67<br> (15050ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (3083ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.85<br> (9110ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (619ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.12<br> (1529ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (349ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (250ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.91<br> (480ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.29<br> (1971ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (860ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">13.93<br> (11979ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (1829ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (886ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.15<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">12.07<br> (11779ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.58<br> (6423ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (1568ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (976ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">25.41<br> (11384ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">13.51<br> (6054ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (448ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57820ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (89233ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (92679ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (546ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (245ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (342ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (1378ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (740ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (610ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.76<br> (477ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (173ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (1870ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (838ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (2105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2074ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (69ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (71ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (71ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (1733ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (1028ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (1317ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (916ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (833ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (384ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (9167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.35<br> (17681ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.01<br> (15887ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (2715ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (1421ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1205ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (2036ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (1179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (956ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (63495ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.89<br> (85371ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.17<br> (7258ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.32<br> (4515ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">15.17<br> (10828ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (714ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.81<br> (1275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (705ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (454ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.29<br> (51391ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (26920ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">34.31<br> (536514ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15636ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (2583ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (1364ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1316ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (1512ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (2102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (1099ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (878ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.30<br> (39838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (19939ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.06<br> (70302ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17331ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.04<br> (9817ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.10<br> (6036ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1949ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (3591ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (7422ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (4838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4078ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (100206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (59572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (90848ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53399ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (64ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.61<br> (205ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.03<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">17.58<br> (580ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.84<br> (730ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.68<br> (210ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (1120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (562ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (682ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.51<br> (3097ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (471ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (433ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (3697ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3440ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.72<br> (1517ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (375ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.68<br> (446ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.23<br> (716ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (198ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.04<br> (2557ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (1148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (977ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.48<br> (3770ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64" title="Distribution performance comparison with Intel C++ C++0x mode version 1600 on Windows x64">Distribution
+    performance comparison with Intel C++ C++0x mode version 1600 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64.table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><p class="title"><b>Table&#160;10.&#160;Distribution performance comparison with Intel C++ C++0x mode version
+      1600 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison with Intel C++ C++0x mode version
+      1600 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                DCDFLIB
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (273ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (871ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.36<br> (5536ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (644ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (613ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3067ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.10<br> (9515ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (226ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (144ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (610ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.60<br> (3416ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (547ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.54<br> (8271ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (166ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (625ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (541ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5958ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5681ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35994ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (647ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (620ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (902ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (964ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (807ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4806ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.74<br> (13152ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1240ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1053ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24612ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.46<br> (3877ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (410ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (555ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (22440ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9321ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (1278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1093ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1035ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (18251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11948ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (5298ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2899ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4062ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (48842ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41636ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.55<br> (110ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.36<br> (309ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (135ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (446ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.68<br> (2087ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1409ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (331ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (272ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (623ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (2280ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Distribution performance comparison with Microsoft Visual C++ version 14.0 on Windows x64">Distribution
+    performance comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;11.&#160;Distribution performance comparison with Microsoft Visual C++ version
+      14.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Distribution performance comparison with Microsoft Visual C++ version
+      14.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                DCDFLIB
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                ArcSine (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ArcSine (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (372ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Beta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.95<br> (7832ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (682ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (756ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Binomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3249ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.63<br> (11787ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Cauchy (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (198ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (741ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.19<br> (4587ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Exponential (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ExtremeValue (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (643ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (596ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                F (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.89<br> (8630ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (294ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (210ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Gamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (714ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Geometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6896ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (6565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Hypergeometric (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (34866ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (269ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (778ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGamma (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (946ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                InverseGaussian (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1138ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Laplace (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                LogNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Logistic (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (1081ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (806ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (200ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NegativeBinomial (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5462ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.84<br> (15511ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1186ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralBeta (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.20<br> (4617ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (502ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (607ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralChiSquared (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.34<br> (27110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11572ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (1382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1132ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1087ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralF (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (20066ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16553ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (6005ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2792ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4582ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                NonCentralT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (56269ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45879ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.16<br> (158ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Normal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.22<br> (409ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Pareto (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (181ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Poisson (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (599ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.63<br> (2772ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Rayleigh (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                SkewNormal (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2020ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (404ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                StudentsT (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (839ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.80<br> (3188ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (CDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (PDF)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Weibull (quantile)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (73ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64" title="Library Comparison with GNU C++ version 5.3.0 on Windows x64">Library
+    Comparison with GNU C++ version 5.3.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64.table_Library_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><p class="title"><b>Table&#160;12.&#160;Library Comparison with GNU C++ version 5.3.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Library Comparison with GNU C++ version 5.3.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                tr1/cmath
+              </p>
+            </th>
+<th>
+              <p>
+                math.h
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                assoc_laguerre<br> (2240/2240 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (226ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                assoc_legendre<br> (205/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta<br> (2204/2204 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (219ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cbrt<br> (85/85 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (57ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i (integer order)<br> (515/526 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.73<br> (638ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (234ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i<br> (215/240 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.73<br> (1016ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (442ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (215ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)<br> (252/268 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (286ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (196ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j<br> (431/451 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (513ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (406ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k (integer order)<br> (505/508 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.52<br> (3494ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.50<br> (2751ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k<br> (187/279 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.19<br> (6743ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.20<br> (3085ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)<br> (423/428 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.76<br> (403ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.76<br> (695ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (146ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann<br> (400/450 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (1346ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (669ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (772ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1 (complete)<br> (109/109 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.36<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1<br> (627/629 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (350ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (467ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2 (complete)<br> (110/110 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">14.81<br> (533ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2<br> (527/530 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (640ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (707ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3 (complete)<br> (500/500 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (1079ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (514ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (839ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3<br> (831/845 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (1733ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (986ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (1257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (40ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint<br> (436/436 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.67<br> (220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                laguerre<br> (280/280 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre<br> (300/300 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (396ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (340ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (376ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.80<br> (224ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (27ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_bessel<br> (483/483 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (1325ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (931ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (1884ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_neumann<br> (284/284 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (3483ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1685ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (2764ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.31<br> (238ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (73ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                zeta<br> (448/448 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (345ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">781.92<br> (177495ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Library Comparison with GNU C++ version 5.3.0 on linux">Library
+    Comparison with GNU C++ version 5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_3_0_on_linux.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;13.&#160;Library Comparison with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="Library Comparison with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61<br> promote_double&lt;false&gt;
+              </p>
+            </th>
+<th>
+              <p>
+                tr1/cmath
+              </p>
+            </th>
+<th>
+              <p>
+                GSL 1.16
+              </p>
+            </th>
+<th>
+              <p>
+                Rmath 3.0.2
+              </p>
+            </th>
+<th>
+              <p>
+                math.h
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                assoc_laguerre<br> (2240/2240 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (263ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (194ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                assoc_legendre<br> (205/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.16<br> (258ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (157ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta (incomplete)<br> (2682/3210 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.12<br> (1796ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (575ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (780ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                beta<br> (2203/2204 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.74<br> (734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.57<br> (398ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (255ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cbrt<br> (85/85 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i (integer order)<br> (494/526 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (893ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (482ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.69<br> (1145ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_i<br> (177/240 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.78<br> (1410ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (406ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.47<br> (929ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.16<br> (1698ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)<br> (250/268 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (267ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.22<br> (447ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (206ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j<br> (423/451 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.83<br> (1071ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (398ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (379ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (865ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (456ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k (integer order)<br> (505/508 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">13.91<br> (3673ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (361ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.34<br> (2729ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_k<br> (96/279 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.86<br> (4589ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (669ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (803ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (877ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (851ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)<br> (423/428 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (484ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.26<br> (718ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (533ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.95<br> (1089ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (392ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann<br> (400/450 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (1478ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (597ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (754ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (1444ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (637ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                digamma<br> (1019/1019 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.69<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.31<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1 (complete)<br> (109/109 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.89<br> (249ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.54<br> (295ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_1<br> (627/629 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (358ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (185ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.51<br> (464ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2 (complete)<br> (109/110 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">15.23<br> (533ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">17.31<br> (606ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_2<br> (527/530 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.32<br> (805ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (347ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (658ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (754ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3 (complete)<br> (500/500 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (1172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (525ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (873ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (1037ns)</span>
+              </p>
+            </td>
+<td>
+            </td>
+<td>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_3<br> (831/845 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (2154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (783ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (1243ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (1383ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rc<br> (201/201 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.41<br> (216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rd<br> (7588/7588 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (233ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (381ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rf<br> (7788/7788 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.54<br> (349ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ellint_rj<br> (7642/8032 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">11.31<br> (2329ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.27<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.50<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (25ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint (En)<br> (1059/1059 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.87<br> (716ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expint<br> (436/436 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.34<br> (203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.76<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p<br> (1379/1379 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.77<br> (968ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (326ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_p_inv<br> (559/559 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (1577ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (704ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (1560ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q<br> (1371/1379 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (508ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (201ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.70<br> (1146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (358ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gamma_q_inv<br> (78/559 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (1841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (751ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (822ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta<br> (3210/3210 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.47<br> (1715ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (634ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (494ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibeta_inv<br> (952/1210 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (5742ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2224ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">26.72<br> (59415ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac<br> (3210/3210 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.51<br> (1736ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (653ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (495ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                ibetac_inv<br> (945/1210 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.44<br> (5451ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2237ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">19.20<br> (42953ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_cn<br> (2368/2757 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.01<br> (476ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_dn<br> (2368/2757 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.12<br> (481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                jacobi_sn<br> (2368/2757 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.23<br> (492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                laguerre<br> (280/280 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre Q<br> (300/300 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (496ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (422ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (461ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                legendre<br> (300/300 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (399ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (345ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (380ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (726ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.35<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.44<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.92<br> (284ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                polygamma<br> (823/1535 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.69<br> (2885ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.21<br> (734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.47<br> (2480ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (332ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_bessel<br> (483/483 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (1563ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (915ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (1935ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (2452ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                sph_neumann<br> (284/284 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.32<br> (3745ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.88<br> (1744ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.46<br> (2906ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (450ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma (incomplete)<br> (1266/1379 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.35<br> (744ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (316ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.93<br> (927ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.54<br> (354ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (161ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                trigamma<br> (659/659 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">39.41<br> (867ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">12.09<br> (266ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                zeta<br> (448/448 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (509ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">752.52<br> (141474ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (285ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64" title="Library Comparison with Intel C++ C++0x mode version 1600 on Windows x64">Library
+    Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64.table_Library_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><p class="title"><b>Table&#160;14.&#160;Library Comparison with Intel C++ C++0x mode version 1600 on Windows
+      x64</b></p>
+<div class="table-contents"><table class="table" summary="Library Comparison with Intel C++ C++0x mode version 1600 on Windows
+      x64">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                math.h
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                cbrt<br> (85/85 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)<br> (268/268 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (76ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (95ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)<br> (428/428 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (229ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (235ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (29ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.65<br> (113ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (63ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Library
+    Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;15.&#160;Library Comparison with Microsoft Visual C++ version 14.0 on Windows
+      x64</b></p>
+<div class="table-contents"><table class="table" summary="Library Comparison with Microsoft Visual C++ version 14.0 on Windows
+      x64">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                math.h
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                cbrt<br> (85/85 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (65ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_bessel_j (integer order)<br> (267/268 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (217ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                cyl_neumann (integer order)<br> (428/428 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (143ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erf<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                erfc<br> (950/950 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.36<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                expm1<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                lgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (73ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (127ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                log1p<br> (80/80 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (14ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                tgamma<br> (400/400 tests selected)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">12.12<br> (933ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64" title="Polynomial Method Comparison with GNU C++ version 5.3.0 on Windows x64">Polynomial
+    Method Comparison with GNU C++ version 5.3.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64.table_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><p class="title"><b>Table&#160;16.&#160;Polynomial Method Comparison with GNU C++ version 5.3.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with GNU C++ version 5.3.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (10ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.37<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (21ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (31ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (33ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (65ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.61<br> (107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.73<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (53ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.96<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (70ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (54ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.88<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (56ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (83ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (99ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (91ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.03<br> (195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.70<br> (259ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (96ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (200ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.85<br> (282ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (163ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (99ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (101ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Polynomial Method Comparison with GNU C++ version 5.3.0 on linux">Polynomial
+    Method Comparison with GNU C++ version 5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_linux.table_Polynomial_Method_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;17.&#160;Polynomial Method Comparison with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (10ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (10ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (18ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.74<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (19ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (20ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.29<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (34ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (98ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (38ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.21<br> (104ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (64ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.58<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (71ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (53ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.94<br> (153ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (74ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (53ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.83<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (59ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (61ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (181ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (104ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (74ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (75ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (163ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.60<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (87ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (80ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.62<br> (228ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (87ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (87ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (88ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (189ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.82<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.07<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.91<br> (297ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (164ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (107ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (104ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (102ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64" title="Polynomial Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64">Polynomial
+    Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64.table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><p class="title"><b>Table&#160;18.&#160;Polynomial Method Comparison with Intel C++ C++0x mode version 1600
+      on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Intel C++ C++0x mode version 1600
+      on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.00<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.88<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.27<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (12ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.54<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.54<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (16ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (16ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.67<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.67<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (20ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.61<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.78<br> (68ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (24ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (24ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.62<br> (76ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (21ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (28ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.48<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (32ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.22<br> (103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (38ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.22<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.37<br> (102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.00<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (55ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.20<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (50ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.85<br> (131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.39<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.16<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.91<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (52ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.43<br> (195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (51ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.89<br> (215ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.91<br> (176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.24<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.00<br> (184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.43<br> (250ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (47ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.40<br> (198ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.96<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (48ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Polynomial
+    Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;19.&#160;Polynomial Method Comparison with Microsoft Visual C++ version 14.0
+      on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Microsoft Visual C++ version 14.0
+      on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (25ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (13ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (18ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (29ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (22ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (23ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (23ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (36ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (53ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (26ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (28ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (35ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (36ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.13<br> (64ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (30ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (31ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (33ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (34ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (37ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (39ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (41ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (48ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (47ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (46ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (46ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (54ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (54ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.24<br> (110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (63ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (49ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (60ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (60ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.16<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (73ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (72ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (57ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (61ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (60ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (74ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (58ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (56ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (62ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (60ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (67ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (66ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (72ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (82ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (86ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (138ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (93ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.16<br> (210ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (108ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (105ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (194ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.27<br> (232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (260ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (181ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (129ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64" title="Rational Method Comparison with GNU C++ version 5.3.0 on Windows x64">Rational
+    Method Comparison with GNU C++ version 5.3.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64.table_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_Windows_x64"></a><p class="title"><b>Table&#160;20.&#160;Rational Method Comparison with GNU C++ version 5.3.0 on Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Rational Method Comparison with GNU C++ version 5.3.0 on Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">2.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (41ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (119ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (120ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (98ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (125ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (137ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (132ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (144ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (145ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (144ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (143ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (213ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (201ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (150ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (222ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (213ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (160ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (239ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (199ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (177ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (176ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (226ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (182ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (249ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (287ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (240ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (199ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (199ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (210ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (314ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (201ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (205ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (204ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (277ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (323ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (285ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (303ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (226ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (229ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (228ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (223ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (294ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (335ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (310ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (313ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (246ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (223ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (222ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (315ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (368ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (338ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (339ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (267ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (266ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (250ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (251ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Rational Method Comparison with GNU C++ version 5.3.0 on linux">Rational
+    Method Comparison with GNU C++ version 5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_linux.table_Rational_Method_Comparison_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;21.&#160;Rational Method Comparison with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="Rational Method Comparison with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (44ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (45ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (44ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (125ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (123ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (130ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (98ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (135ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (140ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (157ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (191ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (182ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (154ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (198ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (166ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (163ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (163ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (172ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (255ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (185ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (185ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (184ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (241ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (276ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (229ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (238ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (194ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (192ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (192ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (300ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (244ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (241ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (209ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (214ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (268ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (312ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (263ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (218ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (295ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (332ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (275ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (237ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (230ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (229ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (309ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (291ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (295ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (249ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (250ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (242ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (252ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (325ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (369ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (304ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (300ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (262ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (263ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64" title="Rational Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64">Rational
+    Method Comparison with Intel C++ C++0x mode version 1600 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64.table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1600_on_Windows_x64"></a><p class="title"><b>Table&#160;22.&#160;Rational Method Comparison with Intel C++ C++0x mode version 1600 on
+      Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Rational Method Comparison with Intel C++ C++0x mode version 1600 on
+      Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (40ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (41ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (40ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.90<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.90<br> (78ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.00<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.95<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (20ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (80ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (116ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (96ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (116ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (116ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (136ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (138ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (192ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (210ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (183ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (223ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (191ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (200ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (235ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (215ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (261ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (219ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (233ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (222ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (280ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (231ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (311ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (241ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (274ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (243ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (323ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (254ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (301ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (138ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.59<br> (347ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (278ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (317ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.06<br> (552ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (136ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (263ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.68<br> (364ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (295ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (336ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.12<br> (568ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (138ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.06<br> (422ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (256ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.85<br> (393ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Rational
+    Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;23.&#160;Rational Method Comparison with Microsoft Visual C++ version 14.0 on
+      Windows x64</b></p>
+<div class="table-contents"><table class="table" summary="Rational Method Comparison with Microsoft Visual C++ version 14.0 on
+      Windows x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 0<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 1<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 2<br> (Integer Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Double Coefficients)
+              </p>
+            </th>
+<th>
+              <p>
+                Method 3<br> (Integer Coefficients)
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                Order 2
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="grey">-</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 3
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (44ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 4
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.21<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.98<br> (83ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (43ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 5
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (90ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (97ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (122ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 6
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (102ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (88ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (91ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 7
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (95ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (125ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (128ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 8
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (101ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (109ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (138ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 9
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (141ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (151ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 10
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (178ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (164ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (163ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 11
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (155ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (154ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (146ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (215ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 12
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (223ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (162ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (198ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (246ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 13
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (209ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (273ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 14
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (242ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (262ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (218ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (189ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (191ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (282ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (290ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 15
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (260ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (233ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (280ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (298ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 16
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (288ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (300ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (252ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (214ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (305ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (325ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 17
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (259ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (328ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (256ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (302ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (223ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (334ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (339ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 18
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (363ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (273ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (434ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (248ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (322ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (349ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (363ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 19
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (330ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (352ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (324ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (348ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (319ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (377ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (381ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                Order 20
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (330ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (427ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (327ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (416ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (267ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (317ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (418ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (416ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Clang_version_3_8_0_trunk_256686_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Clang_version_3_8_0_trunk_256686_on_linux" title="gcd method comparison with Clang version 3.8.0 (trunk 256686) on linux">gcd
+    method comparison with Clang version 3.8.0 (trunk 256686) on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Clang_version_3_8_0_trunk_256686_on_linux.table_gcd_method_comparison_with_Clang_version_3_8_0_trunk_256686_on_linux"></a><p class="title"><b>Table&#160;24.&#160;gcd method comparison with Clang version 3.8.0 (trunk 256686) on linux</b></p>
+<div class="table-contents"><table class="table" summary="gcd method comparison with Clang version 3.8.0 (trunk 256686) on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.61
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.90<br> (2168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (789ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (1076ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (747ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (765ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (adjacent Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (31316360ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.87<br> (62642261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (24472987ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.83<br> (61916324ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16179799ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">11.97<br> (18043652628ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1507174851ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.58<br> (14431204875ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (1531576481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (2465688542ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.83<br> (4723442ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1251922ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.98<br> (3887583ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (1287721ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (977931ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (124484347ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (96356140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (97020965ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (91336905ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (71465869ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.65<br> (1972ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (622ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (860ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (540ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (563ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (17450117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (16495829ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (12849563ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.94<br> (16231394ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8381691ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.49<br> (9126691475ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (5069244283ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (6804097262ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (5124612784ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3667503540ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.95<br> (4874581ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (1225945ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.86<br> (3806213ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (1210277ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (985502ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (22005838ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (16479606ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (16807035ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (16496596ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11900084ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.36<br> (2013ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (642ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (916ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (599ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (626ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (30307983ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.80<br> (41616297ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (21863333ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (40178640ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (14839571ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.83<br> (16865014424ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (5812976738ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.82<br> (12405385177ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (5504816915ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4400311295ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.73<br> (5052367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1366348ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.75<br> (4007526ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (1344357ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1067390ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (51516027ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (40297849ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (36761270ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (39294531ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (28540198ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (122ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11337ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.82<br> (88645ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.32<br> (37618ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.27<br> (93731ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (20288ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.27<br> (3094725ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (1564746ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.68<br> (5018874ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (1504161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1365661ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (563322ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (448479ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (938942ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (439560ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (391207ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (718895ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (791723ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (1224803ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (781750ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (737606ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (121ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.89<br> (88300ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.06<br> (34190ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.84<br> (87699ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (20152ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (3012118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (1578276ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.70<br> (4788935ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (1512843ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1293335ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (547427ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (447239ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.30<br> (876396ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (440962ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (380492ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (706547ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (788922ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (1154470ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (777950ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (697913ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (95ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1059ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.86<br> (4088ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (2277ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (3632ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (1276ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (22350ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (26480ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.80<br> (60467ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (25159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (15906ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (153466ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (109188ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.63<br> (256492ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (97526ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (103893ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (190489ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (156183ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (317399ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (145520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (147682ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (130ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (177ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (91ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2757ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.15<br> (14202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.01<br> (8301ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.12<br> (14103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (3271ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (341353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (181367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.61<br> (594132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (173905ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (128782ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (291727ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (190741ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.73<br> (490180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (187255ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (179681ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (352457ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (288254ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (607171ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (280216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (286875ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_GNU_C_version_5_3_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_GNU_C_version_5_3_0_on_linux" title="gcd method comparison with GNU C++ version 5.3.0 on linux">gcd
+    method comparison with GNU C++ version 5.3.0 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_GNU_C_version_5_3_0_on_linux.table_gcd_method_comparison_with_GNU_C_version_5_3_0_on_linux"></a><p class="title"><b>Table&#160;25.&#160;gcd method comparison with GNU C++ version 5.3.0 on linux</b></p>
+<div class="table-contents"><table class="table" summary="gcd method comparison with GNU C++ version 5.3.0 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.61
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.13<br> (2802ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (895ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (1286ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (1016ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (914ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (adjacent Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (41775723ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.87<br> (69955770ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (27777726ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.68<br> (84599574ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18077291ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">14.78<br> (23241632149ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1572425270ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.27<br> (16142366056ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (1911988140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (2606038259ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.05<br> (6355783ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1346702ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.27<br> (4483024ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (1832606ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1049715ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (147141332ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (107633586ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (103810056ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (126771843ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (76852875ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.92<br> (2186ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (558ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (862ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (558ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (572ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (17235572ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (16956962ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (11155401ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (19466812ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8964083ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (9417422440ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (5269990456ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (6081011309ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (6044479950ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3841778329ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.87<br> (4919066ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (1236082ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.29<br> (3328411ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (1447819ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1011109ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (22425804ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (17164135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (14545436ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (19976038ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12252895ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (2342ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (683ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (911ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (686ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (683ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (32049761ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.76<br> (45352231ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (20998111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.06<br> (50350772ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (16436491ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.55<br> (17112372205ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (5911837749ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (12050581754ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (6807285781ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4825798492ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.50<br> (5057957ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (1389638ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.14<br> (3534092ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (1639899ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1125162ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (54047618ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (43900144ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (36748862ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (49619900ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (31215862ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (126ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (157ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (136ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.71<br> (88614ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (12990ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.53<br> (86978ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.05<br> (18728ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.35<br> (3279425ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (1572402ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (2742654ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (1514923ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1393889ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (602247ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (447959ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (506832ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (442637ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (408504ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (782472ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (781423ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (672974ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (779270ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (742312ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (159ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (135ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10253ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.66<br> (88746ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (13391ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.51<br> (87217ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (18361ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.35<br> (3271184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (1576470ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.99<br> (2761823ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (1524202ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1391168ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (597876ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (446057ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (501704ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (445617ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (412184ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (794630ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (793453ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (675176ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (791469ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (775141ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (153ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (107ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (647ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.94<br> (3195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (1197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.80<br> (3103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (814ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (23922ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (23937ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.25<br> (35622ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (22184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10975ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (164869ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (99310ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (163857ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (93720ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (96506ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (207037ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (143353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (206536ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (138705ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (145798ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (99ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1828ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.08<br> (14770ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (4441ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.29<br> (13321ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (2706ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (350485ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (190884ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (359150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (170124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (165174ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (316056ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (199210ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (295756ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (183139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (226528ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (389398ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (293115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (375314ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (284048ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (352400ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux" title="gcd method comparison with Intel C++ C++0x mode version 1500 on linux">gcd
+    method comparison with Intel C++ C++0x mode version 1500 on linux</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux.table_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table&#160;26.&#160;gcd method comparison with Intel C++ C++0x mode version 1500 on linux</b></p>
+<div class="table-contents"><table class="table" summary="gcd method comparison with Intel C++ C++0x mode version 1500 on linux">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.61
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.77<br> (4641ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (980ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (2043ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (973ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (1970ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (adjacent Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.08<br> (58154864ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (69904918ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (37216550ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (75796697ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (27972451ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">19.48<br> (33271105714ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1708193354ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">12.76<br> (21792913775ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (1815382677ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.18<br> (3723938582ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.89<br> (9414373ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1367187ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.72<br> (6458117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (1583753ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (1562793ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (202561994ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (111048658ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (132829158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (113036723ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (104969288ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.93<br> (3917ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.62<br> (1479ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (573ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.71<br> (1531ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.21<br> (30286211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (16874361ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (19081717ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (17676519ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13726965ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.09<br> (16264475163ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5267565731ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (10286841026ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (5490091759ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (5793652829ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.24<br> (9135147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1261015ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.68<br> (5898603ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (1309201ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (1498616ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.19<br> (37665692ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17208818ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (24038634ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (17885551ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (17856525ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.14<br> (4226ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (714ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.40<br> (1650ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (688ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.54<br> (1750ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (50478428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (44510007ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (31453596ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (46966463ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24119978ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.78<br> (28634298954ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5992545367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.03<br> (18149620491ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (6428199599ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (6922805976ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.82<br> (9443735ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1384889ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.40<br> (6089320ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (1490160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (1659326ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (81450557ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42646044ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (53179175ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (46719225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (42673142ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (116ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (164ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (129ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.74<br> (89752ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (18416ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.56<br> (87836ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (19682ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.38<br> (3155892ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (1546387ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (3064571ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (1505421ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1324137ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (570068ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (446612ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (558835ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (446745ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (376559ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (729507ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (796575ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (754568ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (780209ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (714345ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (150ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (135ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (126ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10290ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.04<br> (92993ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (18378ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.51<br> (87529ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (19686ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (3151730ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (1571898ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.39<br> (3157925ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (1514291ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1321038ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (567900ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (447416ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (570241ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (437075ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (373656ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (725502ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (786216ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (809581ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (823657ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (709300ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (77ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (115ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (70ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (94ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (505ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.66<br> (3361ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (920ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.00<br> (3031ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (723ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (9677ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (23264ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (21708ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.20<br> (20726ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (9404ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (144754ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (91131ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (152844ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (87426ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (95489ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (193344ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (138447ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (203579ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (131849ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (147658ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (86ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (79ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (97ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2543ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.58<br> (14181ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (4761ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.23<br> (13303ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (3249ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (322541ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (178892ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.63<br> (380151ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (167798ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (144818ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (287780ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (190430ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (313206ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (182486ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (194089ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (357105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (285373ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (406966ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (294621ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (319048ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="gcd method comparison with Microsoft Visual C++ version 14.0 on Windows x64">gcd
+    method comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_gcd_method_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;27.&#160;gcd method comparison with Microsoft Visual C++ version 14.0 on Windows
+      x64</b></p>
+<div class="table-contents"><table class="table" summary="gcd method comparison with Microsoft Visual C++ version 14.0 on Windows
+      x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.61
+              </p>
+            </th>
+<th>
+              <p>
+                gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.64
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.05<br> (2653ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (871ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.44<br> (1254ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (882ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (1669ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (2207ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.62<br> (2281ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">11.46<br> (9978ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.70<br> (9316ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.48<br> (3035ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.72<br> (2367ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (adjacent Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (59670883ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.57<br> (63320661ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (29370585ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (54668476ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (40663816ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (24623955ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.35<br> (107118158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.35<br> (131687985ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.15<br> (77463382ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (52636654ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.25<br> (129158187ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">15.51<br> (33644126589ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2169788957ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.78<br> (16883236272ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (2378290598ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (5721817992ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.89<br> (12776783246ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (3473198791ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">38.51<br> (83549633852ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.64<br> (12235187520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">14.54<br> (31558153140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (3883541816ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.56<br> (7426321ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (1420925ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.18<br> (4254380ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1336372ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (2149489ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.72<br> (2295367ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (2629042ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">16.99<br> (22706002ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (4896256ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.66<br> (8899615ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (3296882ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.03<br> (275000359ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (109316990ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (123200308ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (90757472ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (191066461ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (123876688ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (168555428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.94<br> (448341733ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.87<br> (260414480ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (190249211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (187300242ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.56<br> (2100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (590ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (896ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (594ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.47<br> (1460ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (896ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (974ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.24<br> (4859ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.14<br> (4211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.36<br> (1390ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (803ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (25292952ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (14156133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (14011069ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (13517673ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (18914822ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10509446ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (25415287ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.34<br> (45569911ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (28868909ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (17787967ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (25703761ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.23<br> (13662865260ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (4469548580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (7471801261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4236351208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (7828273663ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (5641641009ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.00<br> (8481980418ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.13<br> (25958089997ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.03<br> (12831671502ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.46<br> (10425285342ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.00<br> (8481275507ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.65<br> (7151179ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (1279095ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.25<br> (4106910ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1264825ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (2152290ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.92<br> (2431940ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (2345808ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">11.27<br> (14248457ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.76<br> (3489015ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.98<br> (6301435ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (2392981ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.45<br> (32310613ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (14059302ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (17793742ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13204360ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (24264232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (15190274ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (26017484ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.46<br> (58842348ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.79<br> (36785666ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.69<br> (22326488ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (25204278ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.43<br> (2210ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (644ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.55<br> (1000ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (662ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (1355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (913ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (989ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.32<br> (4716ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.40<br> (4122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (1368ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (817ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.09<br> (48927775ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (37027792ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (26031785ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.45<br> (33931511ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (33404007ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (23435290ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.12<br> (73104180ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.84<br> (90089949ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.43<br> (56923240ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (34693435ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.80<br> (65620808ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.53<br> (28125905824ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (5505436279ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.89<br> (14713059756ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5084759818ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (9420550833ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (12252843971ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (10272751458ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">9.61<br> (48856236248ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.98<br> (15149065981ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.66<br> (18594373353ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (9217862382ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.48<br> (7364662ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (1351079ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.28<br> (4407547ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1344003ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (2123434ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.89<br> (2543037ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (2636943ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">11.40<br> (15325370ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.86<br> (3841352ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.91<br> (6593697ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (2763216ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.66<br> (87178566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (37150982ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (45679514ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32787132ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (61528205ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (43591274ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.10<br> (68925414ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.32<br> (141511277ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.05<br> (100081308ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (61292346ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (66235861ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (119ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (166ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (168ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (134ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (315ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (208ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (235ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.41<br> (287ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.06<br> (483ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.76<br> (209ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (8347ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.38<br> (86663ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.35<br> (27955ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">10.09<br> (84227ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.28<br> (19057ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.08<br> (34080ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">18.55<br> (154835ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (18097ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.96<br> (33018ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.98<br> (58232ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">18.59<br> (155185ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.35<br> (3296845ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (1534499ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.64<br> (3696696ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (1481449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1402222ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (2586948ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (2640516ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.20<br> (4486070ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (2569310ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.42<br> (7600105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.91<br> (2679063ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (614650ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (435946ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.61<br> (668617ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (429584ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (415667ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (763379ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.50<br> (1038355ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.02<br> (840855ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (760952ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.40<br> (1411408ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.53<br> (1052873ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (807246ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (774035ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (883077ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (763348ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (760748ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.00<br> (1524748ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.62<br> (1993795ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (1087596ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (1484810ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.37<br> (1804142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.67<br> (2027528ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (114ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (89ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.04<br> (167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (106ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.51<br> (124ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.16<br> (259ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (101ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2005ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.64<br> (15319ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.75<br> (7524ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.55<br> (15137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (3694ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (3585ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.95<br> (13927ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (2242ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (3577ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.04<br> (8104ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.99<br> (14016ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.46<br> (346174ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (177975ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.61<br> (508462ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (164321ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (149731ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (141952ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (184194ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (201433ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (140948ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.11<br> (579023ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (184313ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.55<br> (317220ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (184591ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.34<br> (416236ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (174283ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (196343ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (128583ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (195103ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (163491ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (124586ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.85<br> (479591ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (196783ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.83<br> (401554ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (277398ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.31<br> (508645ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (274854ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (325496ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (221040ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (298196ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (219844ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (224566ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.69<br> (591153ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (298483ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (122ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (84ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.29<br> (172ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (75ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (98ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.87<br> (140ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (105ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (147ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.35<br> (251ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (93ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (590ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.11<br> (3605ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.69<br> (1588ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.51<br> (3250ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.52<br> (898ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.14<br> (1260ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">5.94<br> (3507ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.56<br> (1513ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (1267ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.42<br> (2017ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.01<br> (3544ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (16631ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (25211ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.08<br> (47419ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (22841ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (11611ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (19374ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (24936ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.34<br> (27203ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (18246ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.54<br> (52686ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.15<br> (25006ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (144505ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (102665ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (205019ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (92984ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (101392ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (86096ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (96237ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (126473ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (82541ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.82<br> (232912ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (98822ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (189654ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (146973ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (254281ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.05<br> (136708ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (154282ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (131622ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (143161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (142318ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (130263ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (293895ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (142885ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (87ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.11<br> (171ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (93ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (94ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.40<br> (113ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.17<br> (257ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (101ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1993ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.98<br> (13906ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.70<br> (7384ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.68<br> (13323ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (3165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.71<br> (3414ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.80<br> (13554ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.12<br> (2225ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (3580ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.23<br> (8433ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.34<br> (14638ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.56<br> (345911ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.32<br> (177891ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.80<br> (512584ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (162012ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (148982ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (140892ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (179530ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (193505ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (134997ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.44<br> (599245ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (190200ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.48<br> (316605ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (187049ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.26<br> (415886ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.38<br> (176518ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (200933ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (128436ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.53<br> (194872ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.18<br> (150531ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (127624ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.81<br> (486079ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (190453ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.96<br> (400024ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (283292ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.52<br> (513812ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.37<br> (279687ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.60<br> (326341ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (211406ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (284097ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (203744ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (208526ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.93<br> (595972ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (291793ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_1_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_1_on_Windows_x64" title="gcd method comparison with Microsoft Visual C++ version 14.1 on Windows x64">gcd
+    method comparison with Microsoft Visual C++ version 14.1 on Windows x64</a>
+</h2></div></div></div>
+<div class="table">
+<a name="special_function_and_distributio.section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_1_on_Windows_x64.table_gcd_method_comparison_with_Microsoft_Visual_C_version_14_1_on_Windows_x64"></a><p class="title"><b>Table&#160;28.&#160;gcd method comparison with Microsoft Visual C++ version 14.1 on Windows
+      x64</b></p>
+<div class="table-contents"><table class="table" summary="gcd method comparison with Microsoft Visual C++ version 14.1 on Windows
+      x64">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Function
+              </p>
+            </th>
+<th>
+              <p>
+                gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Euclid_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                mixed_binary_gcd boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                Stein_gcd_textbook boost 1.64
+              </p>
+            </th>
+<th>
+              <p>
+                gcd_euclid_textbook boost 1.64
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (801ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (732ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.16<br> (3043ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.03<br> (2953ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (1142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (796ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (adjacent Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (18814466ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.14<br> (59009620ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.99<br> (75116072ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.26<br> (42593821ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (29655430ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.77<br> (52174915ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.67<br> (9475590235ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.07<br> (2173235780ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">22.49<br> (45639139129ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.14<br> (6369244677ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">8.18<br> (16601284933ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (2028937087ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.20<br> (1551460ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (1314451ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.92<br> (10230767ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.74<br> (2243194ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.36<br> (4338456ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1291852ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint1024_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (97004967ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.20<br> (102255110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.36<br> (287286304ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (190999693ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (121531123ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (85503149ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (575ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (502ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.94<br> (2481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.62<br> (2320ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.86<br> (936ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.17<br> (589ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (7847419ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.78<br> (13945600ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.42<br> (34688200ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.42<br> (19021587ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.84<br> (14421195ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (13359068ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (4067225231ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (4386735265ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.75<br> (19329382899ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.93<br> (7850681530ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (7708396164ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (4231899027ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (1581415ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1243668ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.91<br> (9831772ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.70<br> (2114775ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.45<br> (4294739ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1245471ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint256_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (10845788ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (13713724ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.11<br> (44625137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.25<br> (24360370ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.67<br> (18100420ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (12859732ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (644ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (565ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.98<br> (2812ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.64<br> (2621ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.73<br> (980ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (647ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (17186167ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.44<br> (41861352ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.98<br> (68425931ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (38284219ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.56<br> (26755034ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (33477468ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (permutations of Fibonacci
+                numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.64<br> (8226882537ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (5195847139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.47<br> (37520762454ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.12<br> (10640326024ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.89<br> (14533607689ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (5022876982ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (random prime number
+                products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (1627487ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1322335ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.94<br> (10496834ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.82<br> (2406752ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.37<br> (4461261ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (1343775ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;boost::multiprecision::uint512_t&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (32451969ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.10<br> (35543655ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.55<br> (115155205ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.01<br> (65156734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (46259709ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.03<br> (33493171ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (161ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (148ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (156ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.02<br> (112ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (135ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (20054ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">7.90<br> (110522ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (13990ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (19927ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (15489ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.02<br> (84223ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (1706761ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.28<br> (1892450ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.65<br> (3915173ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (1718303ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.97<br> (2909805ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (1477319ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (405449ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.39<br> (562829ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.81<br> (734508ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (408757ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.30<br> (527805ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.04<br> (422687ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.13<br> (800534ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (1002100ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.43<br> (1016520ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (790908ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (711010ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (755843ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.88<br> (152ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (98ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (118ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.75<br> (142ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (120ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (81ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (3560ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.50<br> (21428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3299ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.06<br> (3481ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (4074ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.06<br> (13399ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.26<br> (200999ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (265917ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.75<br> (439667ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.24<br> (197917ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.32<br> (370746ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (159839ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (218611ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.58<br> (276521ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.23<br> (391315ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (200690ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.79<br> (313229ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (175307ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned long&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (362872ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.50<br> (401677ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (510064ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.33<br> (357968ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.47<br> (394095ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (268295ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.65<br> (137ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.11<br> (92ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.41<br> (117ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.54<br> (128ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.46<br> (121ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (83ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.14<br> (859ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.80<br> (5139ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (756ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.15<br> (866ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.35<br> (1020ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.17<br> (3155ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.01<br> (12759ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">3.33<br> (42011ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.27<br> (16050ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (12623ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.17<br> (27411ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.80<br> (22712ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.22<br> (101653ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.95<br> (161889ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.33<br> (193556ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (98879ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (153556ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (83031ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned short&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.34<br> (169127ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.66<br> (208641ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.06<br> (259536ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.36<br> (170992ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.59<br> (199734ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (125927ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (Trivial cases)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (165ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.25<br> (111ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.49<br> (133ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.90<br> (169ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.63<br> (145ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (89ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (adjacent Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.09<br> (3472ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">6.86<br> (21847ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (3184ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.08<br> (3428ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.29<br> (4110ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">4.22<br> (13439ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (permutations of Fibonacci numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.19<br> (201037ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.62<br> (273197ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.74<br> (463170ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.21<br> (204339ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.36<br> (398909ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (168891ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (random prime number products)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.23<br> (215380ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.57<br> (276143ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="red">2.22<br> (389655ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.16<br> (204160ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.77<br> (311616ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (175753ns)</span>
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                gcd&lt;unsigned&gt; (uniform random numbers)
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (360158ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.48<br> (407011ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.85<br> (510333ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.31<br> (360097ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="blue">1.42<br> (389754ns)</span>
+              </p>
+            </td>
+<td>
+              <p>
+                <span class="green">1.00<br> (275392ns)</span>
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"><p><small>Last revised: April 09, 2017 at 16:45:49 GMT</small></p></td>
+<td align="right"><div class="copyright-footer"></div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav"></div>
+</body>
+</html>
diff --git a/src/boost/libs/math/reporting/performance/is_intel_win.cpp b/src/boost/libs/math/reporting/performance/is_intel_win.cpp
new file mode 100644
index 00000000..fd1d94d1
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/is_intel_win.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/config.hpp>
+
+#ifndef __ICL
+#error "wrong compiler"
+#endif
diff --git a/src/boost/libs/math/reporting/performance/performance.hpp b/src/boost/libs/math/reporting/performance/performance.hpp
new file mode 100644
index 00000000..e52fd5c5
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/performance.hpp
@@ -0,0 +1,115 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef PERFORMANCE_HPP
+#define PERFORMANCE_HPP
+
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <boost/array.hpp>
+#include <boost/chrono.hpp>
+#include <boost/regex.hpp>
+
+template <class Array>
+void add_data(const Array& a)
+{
+   //
+   // This function is called multiple times to merge multiple data sets into one big table:
+   //
+   for(typename Array::const_iterator i = a.begin(); i != a.end(); ++i)
+   {
+      data.push_back(std::vector<double>());
+      for(typename Array::value_type::const_iterator j = i->begin(); j != i->end(); ++j)
+      {
+         data.back().push_back(*j);
+      }
+   }
+}
+
+template <class Func, class Result>
+void screen_data(Func f, Result r)
+{
+   //
+   // If any of the implementations being tested produces garbage for one of our
+   // test cases (or else if we test a domain they don't support), then we remove that
+   // row from the table.  This allows us to only test a common supported sub-set for performance:
+   //
+   for(std::vector<std::vector<double> >::size_type row = 0; row < data.size(); ++row)
+   {
+      try
+      {
+         double computed = f(data[row]);
+         double expected = r(data[row]);
+         double err = boost::math::relative_difference(computed, expected);
+         if(err > 1e-7)
+         {
+            std::cout << "Erasing row: ";
+            for(unsigned i = 0; i < data[row].size(); ++i)
+            {
+               std::cout << data[row][i] << " ";
+            }
+            std::cout << "Error was " << err << std::endl;
+            data.erase(data.begin() + row);
+            --row;
+         }
+      }
+      catch(const std::exception& e)
+      {
+         std::cout << "Erasing row: ";
+         for(unsigned i = 0; i < data[row].size(); ++i)
+         {
+            std::cout << data[row][i] << " ";
+         }
+         std::cout << "due to thrown exception: " << e.what() << std::endl;
+         data.erase(data.begin() + row);
+         --row;
+      }
+   }
+}
+
+template <class Clock>
+struct stopwatch
+{
+   typedef typename Clock::duration duration;
+   stopwatch()
+   {
+      m_start = Clock::now();
+   }
+   duration elapsed()
+   {
+      return Clock::now() - m_start;
+   }
+   void reset()
+   {
+      m_start = Clock::now();
+   }
+
+private:
+   typename Clock::time_point m_start;
+};
+
+double sum = 0;
+
+template <class Func>
+double exec_timed_test(Func f)
+{
+   double t = 0;
+   unsigned repeats = 1;
+   do{
+      stopwatch<boost::chrono::high_resolution_clock> w;
+
+      for(unsigned count = 0; count < repeats; ++count)
+      {
+         for(std::vector<std::vector<double> >::const_iterator i = data.begin(); i != data.end(); ++i)
+            sum += f(*i);
+      }
+
+      t = boost::chrono::duration_cast<boost::chrono::duration<double>>(w.elapsed()).count();
+      if(t < 0.5)
+         repeats *= 2;
+   } while(t < 0.5);
+   return t / (repeats * data.size());
+}
+
+#endif // PERFORMANCE_HPP
diff --git a/src/boost/libs/math/reporting/performance/table_helper.cpp b/src/boost/libs/math/reporting/performance/table_helper.cpp
new file mode 100644
index 00000000..c8ecfe23
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/table_helper.cpp
@@ -0,0 +1,400 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/regex.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/filesystem.hpp>
+#include <boost/filesystem/fstream.hpp>
+#include <boost/interprocess/sync/named_mutex.hpp>
+#include <boost/interprocess/sync/scoped_lock.hpp>
+#include <vector>
+#include <set>
+#include <iostream>
+#include <sstream>
+#include <iomanip>
+#include "table_helper.hpp"
+
+void add_cell(boost::intmax_t val, const std::string& table_name, const std::string& row_name, const std::string& column_heading);
+void add_to_all_sections(const std::string& id, std::string list_name = "performance_all_sections");
+
+std::vector<std::vector<double> > data;
+std::vector<std::tuple<double, std::string, std::string, std::string> > items_to_add;
+
+inline std::string sanitize_string(const std::string& s)
+{
+   static const boost::regex e("[^a-zA-Z0-9]+");
+   std::string result = boost::regex_replace(s, e, "_");
+   while(result[0] == '_')
+      result.erase(0);
+   return result;
+}
+
+std::string format_precision(double val, int digits)
+{
+   std::stringstream ss;
+   ss << std::setprecision(digits);
+   ss << std::fixed;
+   ss << val;
+   return ss.str();
+}
+
+static std::string content;
+boost::filesystem::path path_to_content;
+
+struct content_loader
+{
+   content_loader(){}
+   ~content_loader()
+   {
+      boost::interprocess::named_mutex mu(boost::interprocess::open_or_create, "handle_test_result");
+      boost::interprocess::scoped_lock<boost::interprocess::named_mutex> lock(mu);
+      boost::filesystem::path p(__FILE__);
+      p = p.parent_path();
+      p /= "doc";
+      p /= "performance_tables.qbk";
+      path_to_content = p;
+      if(boost::filesystem::exists(p))
+      {
+         boost::filesystem::ifstream is(p);
+         if(is.good())
+         {
+            do
+            {
+               char c = static_cast<char>(is.get());
+               if(c != EOF)
+                  content.append(1, c);
+            } while(is.good());
+         }
+      }
+      //
+      // Now iterate through results and add them one at a time:
+      //
+      for(auto i = items_to_add.begin(); i != items_to_add.end(); ++i)
+      {
+         add_cell(static_cast<boost::uintmax_t>(std::get<0>(*i) / 1e-9), std::get<1>(*i), std::get<2>(*i), std::get<3>(*i));
+      }
+      //
+      // Write out the results:
+      //
+      boost::filesystem::ofstream os(path_to_content);
+      os << content;
+   }
+   void instantiate()const
+   {
+   }
+};
+
+static const content_loader loader;
+
+void load_table(std::vector<std::vector<std::string> >& table, std::string::const_iterator begin, std::string::const_iterator end)
+{
+   static const boost::regex item_e(
+      "\\["
+      "([^\\[\\]]*(?0)?)*"
+      "\\]"
+      );
+
+   boost::regex_token_iterator<std::string::const_iterator> i(begin, end, item_e), j;
+
+   while(i != j)
+   {
+      // Add a row:
+      table.push_back(std::vector<std::string>());
+      boost::regex_token_iterator<std::string::const_iterator> k(i->first + 1, i->second - 1, item_e);
+      while(k != j)
+      {
+         // Add a cell:
+         table.back().push_back(std::string(k->first + 1, k->second - 1));
+         ++k;
+      }
+      ++i;
+   }
+}
+
+std::string save_table(std::vector<std::vector<std::string> >& table)
+{
+   std::string result;
+
+   for(std::vector<std::vector<std::string> >::const_iterator i = table.begin(), j = table.end(); i != j; ++i)
+   {
+      result += "[";
+      for(std::vector<std::string>::const_iterator k = i->begin(), l = i->end(); k != l; ++k)
+      {
+         result += "[";
+         result += *k;
+         result += "]";
+      }
+      result += "]\n";
+   }
+   return result;
+}
+
+void add_to_all_sections(const std::string& id, std::string list_name)
+{
+   std::string::size_type pos = content.find("[template " + list_name + "[]"), end_pos;
+   if(pos == std::string::npos)
+   {
+      //
+      // Just append to the end:
+      //
+      content.append("\n[template ").append(list_name).append("[]\n[").append(id).append("]\n]\n");
+   }
+   else
+   {
+      //
+      // Read in the all list of sections, add our new one (in alphabetical order),
+      // and then rewrite the whole thing:
+      //
+      static const boost::regex item_e(
+         "\\["
+         "((?=[^\\]])[^\\[\\]]*+(?0)?+)*+"
+         "\\]|\\]"
+         );
+      boost::regex_token_iterator<std::string::const_iterator> i(content.begin() + pos + 12 + list_name.size(), content.end(), item_e), j;
+      std::set<std::string> sections;
+      while(i != j)
+      {
+         if(i->length() == 1)
+         {
+            end_pos = i->first - content.begin();
+            break;
+         }
+         sections.insert(std::string(i->first + 1, i->second - 1));
+         ++i;
+      }
+      sections.insert(id);
+      std::string new_list = "\n";
+      for(std::set<std::string>::const_iterator sec = sections.begin(); sec != sections.end(); ++sec)
+      {
+         new_list += "[" + *sec + "]\n";
+      }
+      content.replace(pos + 12 + list_name.size(), end_pos - pos - 12 - list_name.size(), new_list);
+   }
+}
+
+std::string get_colour(boost::uintmax_t val, boost::uintmax_t best)
+{
+   if(val <= best * 1.2)
+      return "green";
+   if(val > best * 2)
+      return "red";
+   return "blue";
+}
+
+boost::intmax_t get_value_from_cell(const std::string& cell)
+{
+   static const boost::regex time_e("(\\d+)ns");
+   boost::smatch what;
+   if(regex_search(cell, what, time_e))
+   {
+      return boost::lexical_cast<boost::uintmax_t>(what.str(1));
+   }
+   return -1;
+}
+
+void add_cell(boost::intmax_t val, const std::string& table_name, const std::string& row_name, const std::string& column_heading)
+{
+   //
+   // Load the table, add our data, and re-write:
+   //
+   std::string table_id = "table_" + sanitize_string(table_name);
+   boost::regex table_e("\\[table:" + table_id
+      + "\\s[^\\[]++"
+      "((\\["
+      "([^\\[\\]]*+(?2)?+)*+"
+      "\\]\\s*+)*+\\s*+)"
+      "\\]"
+      );
+
+   boost::smatch table_location;
+   if(regex_search(content, table_location, table_e))
+   {
+      std::vector<std::vector<std::string> > table_data;
+      load_table(table_data, table_location[1].first, table_location[1].second);
+      //
+      // Figure out which column we're on:
+      //
+      unsigned column_id = 1001u;
+      for(unsigned i = 0; i < table_data[0].size(); ++i)
+      {
+         if(table_data[0][i] == column_heading)
+         {
+            column_id = i;
+            break;
+         }
+      }
+      if(column_id > 1000)
+      {
+         //
+         // Need a new column, must be adding a new compiler to the table!
+         //
+         table_data[0].push_back(column_heading);
+         for(unsigned i = 1; i < table_data.size(); ++i)
+            table_data[i].push_back(std::string());
+         column_id = table_data[0].size() - 1;
+      }
+      //
+      // Figure out the row:
+      //
+      unsigned row_id = 1001;
+      for(unsigned i = 1; i < table_data.size(); ++i)
+      {
+         if(table_data[i][0] == row_name)
+         {
+            row_id = i;
+            break;
+         }
+      }
+      if(row_id > 1000)
+      {
+         //
+         // Need a new row, add it now:
+         //
+         table_data.push_back(std::vector<std::string>());
+         table_data.back().push_back(row_name);
+         for(unsigned i = 1; i < table_data[0].size(); ++i)
+            table_data.back().push_back(std::string());
+         row_id = table_data.size() - 1;
+      }
+      //
+      // Find the best result in this row:
+      //
+      boost::uintmax_t best = (std::numeric_limits<boost::uintmax_t>::max)();
+      std::vector<boost::intmax_t> values;
+      for(unsigned i = 1; i < table_data[row_id].size(); ++i)
+      {
+         if(i == column_id)
+         {
+            if(val < best)
+               best = val;
+            values.push_back(val);
+         }
+         else
+         {
+            std::cout << "Existing cell value was " << table_data[row_id][i] << std::endl;
+            boost::uintmax_t cell_val = get_value_from_cell(table_data[row_id][i]);
+            std::cout << "Extracted value: " << cell_val << std::endl;
+            if(cell_val < best)
+               best = cell_val;
+            values.push_back(cell_val);
+         }
+      }
+      //
+      // Update the row:
+      //
+      for(unsigned i = 1; i < table_data[row_id].size(); ++i)
+      {
+         std::string& s = table_data[row_id][i];
+         s = "[role ";
+         if(values[i - 1] < 0)
+         {
+            s += "grey -]";
+         }
+         else
+         {
+            s += get_colour(values[i - 1], best);
+            s += " ";
+            s += format_precision(static_cast<double>(values[i - 1]) / best, 2);
+            s += "[br](";
+            s += boost::lexical_cast<std::string>(values[i - 1]) + "ns)]";
+         }
+      }
+      //
+      // Convert back to a string and insert into content:
+      std::sort(table_data.begin() + 1, table_data.end(), [](std::vector<std::string> const& a, std::vector<std::string> const& b) { return a[0] < b[0]; } );
+      std::string c = save_table(table_data);
+      content.replace(table_location.position(1), table_location.length(1), c);
+   }
+   else
+   {
+      //
+      // Create a new table and try again:
+      //
+      std::string new_table = "\n[template " + table_id;
+      new_table += "[]\n[table:" + table_id;
+      new_table += " ";
+      new_table += table_name;
+      new_table += "\n[[Function][";
+      new_table += column_heading;
+      new_table += "]]\n";
+      new_table += "[[";
+      new_table += row_name;
+      new_table += "][[role blue 1.00[br](";
+      new_table += boost::lexical_cast<std::string>(val);
+      new_table += "ns)]]]\n]\n]\n";
+
+      std::string::size_type pos = content.find("[/tables:]");
+      if(pos != std::string::npos)
+         content.insert(pos + 10, new_table);
+      else
+         content += "\n\n[/tables:]\n" + new_table;
+      //
+      // Add a section for this table as well:
+      //
+      std::string section_id = "section_" + sanitize_string(table_name);
+      if(content.find(section_id + "[]") == std::string::npos)
+      {
+         std::string new_section = "\n[template " + section_id + "[]\n[section:" + section_id + " " + table_name + "]\n[" + table_id + "]\n[endsect]\n]\n";
+         pos = content.find("[/sections:]");
+         if(pos != std::string::npos)
+            content.insert(pos + 12, new_section);
+         else
+            content += "\n\n[/sections:]\n" + new_section;
+         add_to_all_sections(section_id);
+      }
+      //
+      // Add to list of all tables (not in sections):
+      //
+      add_to_all_sections(table_id, "performance_all_tables");
+   }
+}
+
+void report_execution_time(double t, std::string table, std::string row, std::string heading)
+{
+   items_to_add.push_back(std::make_tuple(t, table, row, heading));
+   //add_cell(static_cast<boost::uintmax_t>(t / 1e-9), table, row, heading);
+}
+
+std::string get_compiler_options_name()
+{
+#if defined(BOOST_MSVC) || defined(__ICL)
+   std::string result;
+#ifdef BOOST_MSVC
+   result = "cl ";
+#else
+   result = "icl ";
+#endif
+#ifdef _M_AMD64
+#ifdef __AVX__
+   result += "/arch:AVX /Ox";
+#else
+   result += "/Ox";
+#endif
+   result += " (x64 build)";
+#else
+#ifdef _DEBUG
+   result +=  "/Od";
+#elif defined(__AVX2__)
+   result += "/arch:AVX2 /Ox";
+#elif defined(__AVX__)
+   result += "/arch:AVX /Ox";
+#elif _M_IX86_FP == 2
+   result += "/arch:sse2 /Ox";
+#else
+   result += "/arch:ia32 /Ox";
+#endif
+   result += " (x86 build)";
+#endif
+   std::cout << "Compiler options are found as: " << result << std::endl;
+   return result;
+#else
+   return "Unknown";
+#endif
+}
+
diff --git a/src/boost/libs/math/reporting/performance/table_helper.hpp b/src/boost/libs/math/reporting/performance/table_helper.hpp
new file mode 100644
index 00000000..e9eca81b
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/table_helper.hpp
@@ -0,0 +1,325 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef TABLE_HELPER_HPP
+#define TABLE_HELPER_HPP
+
+#include <vector>
+#include <string>
+#include <boost/version.hpp>
+#include <boost/lexical_cast.hpp>
+
+//
+// Also include headers for whatever else we may be testing:
+//
+#ifdef TEST_LIBSTDCXX
+#include <tr1/cmath>
+#include <stdexcept>
+#endif
+#ifdef TEST_GSL
+#include <gsl/gsl_sf.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_version.h>
+
+void gsl_handler(const char * reason, const char * file, int line, int gsl_errno)
+{
+   if(gsl_errno == GSL_ERANGE) return; // handle zero or infinity in our test code.
+#ifdef DISTRIBUTIONS_TEST
+   return;
+#else
+   throw std::domain_error(reason);
+#endif
+}
+
+struct gsl_error_handler_setter
+{
+   gsl_error_handler_t * old_handler;
+   gsl_error_handler_setter()
+   {
+      old_handler = gsl_set_error_handler(gsl_handler);
+   }
+   ~gsl_error_handler_setter()
+   {
+      gsl_set_error_handler(old_handler);
+   }
+};
+
+static const gsl_error_handler_setter handler;
+
+#endif
+
+#ifdef TEST_RMATH
+// Rmath overloads ftrunc, leading to strange errors from GCC unless we include this:
+#include <boost/math/special_functions.hpp>
+#define MATHLIB_STANDALONE
+#include <Rmath.h>
+#endif
+
+#ifdef TEST_DCDFLIB
+extern "C" {
+   extern void cdfbet(int*, double*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdfbin(int*, double*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdfchi(int*, double*, double*, double*, double*, int*, double*);
+   extern void cdfchn(int*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdff(int*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdffnc(int*, double*, double*, double*, double*, double*, double*, int*s, double*);
+   extern void cdfgam(int*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdfnbn(int*, double*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdfnor(int*, double*, double*, double*, double*, double*, int*, double*);
+   extern void cdfpoi(int*, double*, double*, double*, double*, int*, double*);
+   extern void cdft(int*, double*, double*, double*, double*, int*, double*);
+   extern void cdftnc(int*, double*, double*, double*, double*, double*, int*, double*);
+}
+
+inline double dcdflib_beta_cdf(double x, double a, double b)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound, y(1-x);
+   cdfbet(&what, &p, &q, &x, &y, &a, &b, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_beta_quantile(double p, double a, double b)
+{
+   int what = 2;
+   int status = 0;
+   double x, y, bound, q(1 - p);
+   cdfbet(&what, &p, &q, &x, &y, &a, &b, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_binomial_cdf(double x, double s, double sf)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound, sfc(1-sf);
+   cdfbin(&what, &p, &q, &x, &s, &sf, &sfc, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_binomial_quantile(double p, double s, double sf)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p), sfc(1-sf);
+   cdfbin(&what, &p, &q, &x, &s, &sf, &sfc, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_chi_cdf(double x, double df)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdfchi(&what, &p, &q, &x, &df, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_chi_quantile(double p, double df)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdfchi(&what, &p, &q, &x, &df, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_chi_n_cdf(double x, double df, double nc)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdfchn(&what, &p, &q, &x, &df, &nc, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_chi_n_quantile(double p, double df, double nc)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdfchn(&what, &p, &q, &x, &df, &nc, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_f_cdf(double x, double df1, double df2)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdff(&what, &p, &q, &x, &df1, &df2, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_f_quantile(double p, double df1, double df2)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdff(&what, &p, &q, &x, &df1, &df2, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_f_n_cdf(double x, double df1, double df2, double nc)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdffnc(&what, &p, &q, &x, &df1, &df2, &nc, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_f_n_quantile(double p, double df1, double df2, double nc)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdffnc(&what, &p, &q, &x, &df1, &df2, &nc, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_gamma_cdf(double x, double shape, double scale)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   scale = 1 / scale;
+   cdfgam(&what, &p, &q, &x, &shape, &scale, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_gamma_quantile(double p, double shape, double scale)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   scale = 1 / scale;
+   cdfgam(&what, &p, &q, &x, &shape, &scale, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_nbin_cdf(double x, double r, double sf)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound, sfc(1 - sf);
+   cdfnbn(&what, &p, &q, &x, &r, &sf, &sfc, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_nbin_quantile(double p, double r, double sf)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p), sfc(1 - sf);
+   cdfnbn(&what, &p, &q, &x, &r, &sf, &sfc, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_norm_cdf(double x, double mean, double sd)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdfnor(&what, &p, &q, &x, &mean, &sd, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_norm_quantile(double p, double mean, double sd)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdfnor(&what, &p, &q, &x, &mean, &sd, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_poisson_cdf(double x, double param)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdfpoi(&what, &p, &q, &x, &param, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_poisson_quantile(double p, double param)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdfpoi(&what, &p, &q, &x, &param, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_t_cdf(double x, double param)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdft(&what, &p, &q, &x, &param, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_t_quantile(double p, double param)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdft(&what, &p, &q, &x, &param, &status, &bound);
+   return x;
+}
+
+inline double dcdflib_t_n_cdf(double x, double param, double nc)
+{
+   int what = 1;
+   int status = 0;
+   double p, q, bound;
+   cdftnc(&what, &p, &q, &x, &param, &nc, &status, &bound);
+   return p;
+}
+
+inline double dcdflib_t_n_quantile(double p, double param, double nc)
+{
+   int what = 2;
+   int status = 0;
+   double x, bound, q(1 - p);
+   cdftnc(&what, &p, &q, &x, &param, &nc, &status, &bound);
+   return x;
+}
+
+#endif
+
+extern std::vector<std::vector<double> > data;
+
+void report_execution_time(double t, std::string table, std::string row, std::string heading);
+std::string get_compiler_options_name();
+
+inline std::string boost_name()
+{
+   return "boost " + boost::lexical_cast<std::string>(BOOST_VERSION / 100000) + "." + boost::lexical_cast<std::string>((BOOST_VERSION / 100) % 1000);
+}
+
+inline std::string compiler_name()
+{
+#ifdef COMPILER_NAME
+   return COMPILER_NAME;
+#else
+   return BOOST_COMPILER;
+#endif
+}
+
+inline std::string platform_name()
+{
+#ifdef _WIN32
+   return "Windows x64";
+#else
+   return BOOST_PLATFORM;
+#endif
+}
+
+#endif // TABLE_HELPER_HPP
+
diff --git a/src/boost/libs/math/reporting/performance/test_assoc_laguerre.cpp b/src/boost/libs/math/reporting/performance/test_assoc_laguerre.cpp
new file mode 100644
index 00000000..0232bb4e
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_assoc_laguerre.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "laguerre3.ipp"
+
+   add_data(laguerre3);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::assoc_laguerre(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_laguerre_n(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "assoc_laguerre[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "assoc_laguerre";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::assoc_laguerre(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_laguerre_n(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_assoc_legendre.cpp b/src/boost/libs/math/reporting/performance/test_assoc_legendre.cpp
new file mode 100644
index 00000000..8245f9f4
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_assoc_legendre.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "assoc_legendre_p.ipp"
+
+   add_data(assoc_legendre_p);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::assoc_legendre(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_legendre_Plm(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "assoc_legendre[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "assoc_legendre";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL)  || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::assoc_legendre(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_legendre_Plm(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_beta.cpp b/src/boost/libs/math/reporting/performance/test_beta.cpp
new file mode 100644
index 00000000..7ed8cca8
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_beta.cpp
@@ -0,0 +1,92 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "beta_small_data.ipp"
+#  include "beta_med_data.ipp"
+#  include "beta_exp_data.ipp"
+
+   add_data(beta_small_data);
+   add_data(beta_med_data);
+   add_data(beta_exp_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::beta(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::beta(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_beta(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return beta(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "beta[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "beta";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::beta(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::beta(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::beta(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_beta(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return beta(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_beta_inc.cpp b/src/boost/libs/math/reporting/performance/test_beta_inc.cpp
new file mode 100644
index 00000000..a9b78a87
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_beta_inc.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+
+int main()
+{
+#  include "ibeta_small_data.ipp"
+#  include "ibeta_data.ipp"
+#  include "ibeta_large_data.ipp"
+#  include "ibeta_int_data.ipp"
+
+   add_data(ibeta_small_data);
+   add_data(ibeta_data);
+   add_data(ibeta_large_data);
+   add_data(ibeta_int_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ibeta(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[5];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening gsl data:\n";
+      screen_data([](const std::vector<double>& v){  return gsl_sf_beta_inc(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[5];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "beta (incomplete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "beta (incomplete)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::beta(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::beta(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_beta_inc(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_cbrt.cpp b/src/boost/libs/math/reporting/performance/test_cbrt.cpp
new file mode 100644
index 00000000..8be48f90
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_cbrt.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "../../test/cbrt_data.ipp"
+
+   add_data(cbrt_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::cbrt(v[1]);  }, [](const std::vector<double>& v){ return v[0];  });
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::cbrt(v[1]);  }, [](const std::vector<double>& v){ return v[0];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::cbrt(v[1]);  }, [](const std::vector<double>& v){ return v[0];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cbrt[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cbrt";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cbrt(v[1]);  });
+   std::cout << time << std::endl;
+#if defined(COMPILER_COMPARISON_TABLES)
+   report_execution_time(time, std::string("Compiler Option Comparison on ") + platform_name(), "boost::math::cbrt", get_compiler_options_name());
+#else
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+#endif
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cbrt(v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::cbrt(v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cbrt(v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_cn.cpp b/src/boost/libs/math/reporting/performance/test_cn.cpp
new file mode 100644
index 00000000..eac28da7
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_cn.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+    static const boost::array<boost::array<T, 5>, 36> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+        {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+
+        // Try modulus > 1
+        {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+        {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+
+        // Special Values:
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }},
+        {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }},
+    }};
+
+
+int main()
+{
+#include "jacobi_elliptic.ipp"
+#include "jacobi_elliptic_small.ipp"
+#include "jacobi_near_1.ipp"
+#include "jacobi_large_phi.ipp"
+
+   add_data(data1);
+   add_data(jacobi_elliptic);
+   add_data(jacobi_elliptic_small);
+   add_data(jacobi_near_1);
+   add_data(jacobi_large_phi);
+
+   unsigned data_total = data.size();
+
+
+   std::cout << "Screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::jacobi_cn(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return c;
+   }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "jacobi_cn[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "jacobi_cn";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_cn(v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_cn(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return c;
+   });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_digamma.cpp b/src/boost/libs/math/reporting/performance/test_digamma.cpp
new file mode 100644
index 00000000..57a598e1
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_digamma.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "digamma_data.ipp"
+#  include "digamma_root_data.ipp"
+#  include "digamma_small_data.ipp"
+#  include "digamma_neg_data.ipp"
+    static const boost::array<boost::array<T, 2>, 5> digamma_bugs = {{
+       // Test cases from Rocco Romeo:
+        {{ static_cast<T>(std::ldexp(1.0, -100)), SC_(-1.26765060022822940149670320537657721566490153286060651209008e30) }},
+        {{ static_cast<T>(-std::ldexp(1.0, -100)), SC_(1.26765060022822940149670320537542278433509846713939348790992e30) }},
+        {{ static_cast<T>(1), SC_(-0.577215664901532860606512090082402431042159335939923598805767) }},
+        {{ static_cast<T>(-1) + static_cast<T>(std::ldexp(1.0, -20)), SC_(-1.04857557721314249602848739817764518743062133735858753112190e6) }},
+        {{ static_cast<T>(-1) - static_cast<T>(std::ldexp(1.0, -20)), SC_(1.04857642278181269259522681939281063878220298942888100442172e6) }},
+    }};
+   static const boost::array<boost::array<T, 2>, 40> digamma_integers = { {
+      { 1, SC_(-0.57721566490153286060651209008240243) }, { 2, SC_(0.42278433509846713939348790991759757) }, { 3, SC_(0.92278433509846713939348790991759757) }, { 4, SC_(1.2561176684318004727268212432509309) }, { 5, SC_(1.5061176684318004727268212432509309) }, { 6, SC_(1.7061176684318004727268212432509309) }, { 7, SC_(1.8727843350984671393934879099175976) }, { 8, SC_(2.0156414779556099965363450527747404) }, { 9, SC_(2.1406414779556099965363450527747404) }, { SC_(10.0), SC_(2.2517525890667211076474561638858515) }, { SC_(11.0), SC_(2.3517525890667211076474561638858515) }, { SC_(12.0), SC_(2.4426616799758120167383652547949424) }, { SC_(13.0), SC_(2.5259950133091453500716985881282758) }, { SC_(14.0), SC_(2.6029180902322222731486216650513527) }, { SC_(15.0), SC_(2.6743466616607937017200502364799241) }, { SC_(16.0), SC_(2.7410133283274603683867169031465908) }, { SC_(17.0), SC_(2.8035133283274603683867169031465908) }, { SC_(18.0), SC_(2.8623368577392250742690698443230614) }, { SC_(19.0), SC_(2.9178924132947806298246253998786169) }, { SC_(20.0), SC_(2.9705239922421490508772569788259854) }, { SC_(21.0), SC_(3.0205239922421490508772569788259854) }, { SC_(22.0), SC_(3.0681430398611966699248760264450330) }, { SC_(23.0), SC_(3.1135975853157421244703305718995784) }, { SC_(24.0), SC_(3.1570758461853073418616349197256654) }, { SC_(25.0), SC_(3.1987425128519740085283015863923321) }, { SC_(26.0), SC_(3.2387425128519740085283015863923321) }, { SC_(27.0), SC_(3.2772040513135124700667631248538705) }, { SC_(28.0), SC_(3.3142410883505495071038001618909076) }, { SC_(29.0), SC_(3.3499553740648352213895144476051933) }, { SC_(30.0), SC_(3.3844381326855248765619282407086415) }, { SC_(31.0), SC_(3.4177714660188582098952615740419749) }, { SC_(32.0), SC_(3.4500295305349872421533260901710071) }, { SC_(33.0), SC_(3.4812795305349872421533260901710071) }, { SC_(34.0), SC_(3.5115825608380175451836291204740374) }, { SC_(35.0), SC_(3.5409943255438998981248055910622727) }, { SC_(36.0), SC_(3.5695657541153284695533770196337013) }, { SC_(37.0), SC_(3.5973435318931062473311547974114791) }, { SC_(38.0), SC_(3.6243705589201332743581818244385061) }, { SC_(39.0), SC_(3.6506863483938174848844976139121903) }, { SC_(40.0), SC_(3.6763273740348431259101386395532160) }
+   } };
+   static const boost::array<boost::array<T, 2>, 41> digamma_half_integers = { {
+      { SC_(0.5), SC_(-1.9635100260214234794409763329987556) }, { SC_(1.5), SC_(0.036489973978576520559023667001244433) }, { SC_(2.5), SC_(0.70315664064524318722569033366791110) }, { SC_(3.5), SC_(1.1031566406452431872256903336679111) }, { SC_(4.5), SC_(1.3888709263595289015114046193821968) }, { SC_(5.5), SC_(1.6110931485817511237336268416044190) }, { SC_(6.5), SC_(1.7929113303999329419154450234226009) }, { SC_(7.5), SC_(1.9467574842460867880692911772687547) }, { SC_(8.5), SC_(2.0800908175794201214026245106020880) }, { SC_(9.5), SC_(2.1977378764029495331673303929550292) }, { SC_(10.5), SC_(2.3030010342976863752725935508497661) }, { SC_(11.5), SC_(2.3982391295357816133678316460878613) }, { SC_(12.5), SC_(2.4851956512749120481504403417400352) }, { SC_(13.5), SC_(2.5651956512749120481504403417400352) }, { SC_(14.5), SC_(2.6392697253489861222245144158141093) }, { SC_(15.5), SC_(2.7082352425903654325693420020210058) }, { SC_(16.5), SC_(2.7727513716226234970854710342790703) }, { SC_(17.5), SC_(2.8333574322286841031460770948851310) }, { SC_(18.5), SC_(2.8905002893715412460032199520279881) }, { SC_(19.5), SC_(2.9445543434255953000572740060820421) }, { SC_(20.5), SC_(2.9958363947076465821085560573640934) }, { SC_(21.5), SC_(3.0446168825125246308890438622421422) }, { SC_(22.5), SC_(3.0911285104195013750750903738700492) }, { SC_(23.5), SC_(3.1355729548639458195195348183144936) }, { SC_(24.5), SC_(3.1781261463533075216471943927825787) }, { SC_(25.5), SC_(3.2189424728839197665451535764560481) }, { SC_(26.5), SC_(3.2581581591584295704667222039070285) }, { SC_(27.5), SC_(3.2958940082150333440516278642843870) }, { SC_(28.5), SC_(3.3322576445786697076879915006480234) }, { SC_(29.5), SC_(3.3673453638769153217230792199462690) }, { SC_(30.5), SC_(3.4012436689616610844349436267259300) }, { SC_(31.5), SC_(3.4340305542075627237792059218078972) }, { SC_(32.5), SC_(3.4657765859535944698109519535539290) }, { SC_(33.5), SC_(3.4965458167228252390417211843231597) }, { SC_(34.5), SC_(3.5263965629914819554596316320843538) }, { SC_(35.5), SC_(3.5553820702378587670538345306350784) }, { SC_(36.5), SC_(3.5835510843223658093073556573956418) }, { SC_(37.5), SC_(3.6109483445963384120470816847929021) }, { SC_(38.5), SC_(3.6376150112630050787137483514595687) }, { SC_(39.5), SC_(3.6635890372370310527397223774335947) }, { SC_(40.5), SC_(3.6889054929332335843852919976867593) }
+   } };
+
+   add_data(digamma_data);
+   add_data(digamma_root_data);
+   add_data(digamma_small_data);
+   add_data(digamma_neg_data);
+   add_data(digamma_bugs);
+   add_data(digamma_integers);
+   add_data(digamma_half_integers);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::digamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_psi(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::digamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "digamma[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "digamma";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::digamma(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::digamma(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_psi(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::digamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_distributions.cpp b/src/boost/libs/math/reporting/performance/test_distributions.cpp
new file mode 100644
index 00000000..016df73f
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_distributions.cpp
@@ -0,0 +1,750 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define DISTRIBUTIONS_TEST
+
+#include <boost/math/distributions.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+#ifdef TEST_GSL
+#include <gsl/gsl_cdf.h>
+#endif
+
+class distribution_tester
+{
+   std::string distro_name;
+   static const double quantiles[19];
+   double sum;
+
+   struct param_info
+   {
+      std::vector<double> params;
+      std::vector<double> x_values;
+   };
+   std::vector<param_info> tests;
+   double sanitize_x(double x)
+   {
+      if(x > boost::math::tools::max_value<float>() / 2)
+         return boost::math::tools::max_value<float>() / 2;
+      if(x < -boost::math::tools::max_value<float>() / 2)
+         return -boost::math::tools::max_value<float>() / 2;
+      return x;
+   }
+public:
+   distribution_tester(const char* name) : distro_name(name), sum(0) {}
+
+   template <class F>
+   void add_test_case(F f)
+   {
+      tests.push_back(param_info());
+      for(unsigned i = 0; i < sizeof(quantiles) / sizeof(quantiles[0]); ++i)
+      {
+         tests.back().x_values.push_back(sanitize_x(f(quantiles[i])));
+      }
+   }
+   template <class F>
+   void add_test_case(double p1, F f)
+   {
+      tests.push_back(param_info());
+      tests.back().params.push_back(p1);
+      for(unsigned i = 0; i < sizeof(quantiles) / sizeof(quantiles[0]); ++i)
+      {
+         tests.back().x_values.push_back(sanitize_x(f(p1, quantiles[i])));
+      }
+   }
+   template <class F>
+   void add_test_case(double p1, double p2, F f)
+   {
+      tests.push_back(param_info());
+      tests.back().params.push_back(p1);
+      tests.back().params.push_back(p2);
+      for(unsigned i = 0; i < sizeof(quantiles) / sizeof(quantiles[0]); ++i)
+      {
+         tests.back().x_values.push_back(sanitize_x(f(p1, p2, quantiles[i])));
+      }
+   }
+   template <class F>
+   void add_test_case(double p1, double p2, double p3, F f)
+   {
+      tests.push_back(param_info());
+      tests.back().params.push_back(p1);
+      tests.back().params.push_back(p2);
+      tests.back().params.push_back(p3);
+      for(unsigned i = 0; i < sizeof(quantiles) / sizeof(quantiles[0]); ++i)
+      {
+         tests.back().x_values.push_back(sanitize_x(f(p1, p2, p3, quantiles[i])));
+      }
+   }
+
+   enum
+   {
+      main_table = 1,
+      boost_only_table = 2,
+      both_tables = 3
+   };
+
+   template <class F>
+   void run_timed_tests(F f, std::string sub_name, std::string column, bool p_value = false, int where = main_table)
+   {
+      std::cout << "Testing " << distro_name + " (" + std::string(sub_name) + ")" << " with library " << column << std::endl;
+      try{
+         double t = 0;
+         unsigned repeats = 1;
+         unsigned data_size;
+         do{
+            data_size = 0;
+            stopwatch<boost::chrono::high_resolution_clock> w;
+
+            for(unsigned count = 0; count < repeats; ++count)
+            {
+               for(unsigned i = 0; i < tests.size(); ++i)
+               {
+                  for(unsigned j = 0; j < tests[i].x_values.size(); ++j)
+                  {
+                     if((boost::math::isfinite)(tests[i].x_values[j]))
+                        sum += f(tests[i].params, p_value ? quantiles[j] : tests[i].x_values[j]);
+                     ++data_size;
+                  }
+               }
+            }
+
+            t = boost::chrono::duration_cast<boost::chrono::duration<double>>(w.elapsed()).count();
+            if(t < 0.5)
+               repeats *= 2;
+         } while(t < 0.5);
+
+         static const std::string main_table_name = std::string("Distribution performance comparison with ") + compiler_name() + std::string(" on ") + platform_name();
+         static const std::string boost_table_name = std::string("Distribution performance comparison for different performance options with ") + compiler_name() + std::string(" on ") + platform_name();
+
+         if (where & 1)
+         {
+            report_execution_time(
+               t / data_size,
+               main_table_name,
+               distro_name + " (" + std::string(sub_name) + ")",
+               column);
+         }
+         if (where & 2)
+         {
+            report_execution_time(
+               t / data_size,
+               boost_table_name,
+               distro_name + " (" + std::string(sub_name) + ")",
+               column);
+         }
+      }
+      catch(const std::exception& e)
+      {
+         std::cerr << "Aborting due to exception: " << e.what() << std::endl;
+         std::cerr << "In " << distro_name + " (" + std::string(sub_name) + ")" << std::endl;
+         report_execution_time(
+            (std::numeric_limits<boost::uintmax_t>::max)(),
+            std::string("Distribution performance comparison with ") + compiler_name() + std::string(" on ") + platform_name(),
+            distro_name + " (" + std::string(sub_name) + ")",
+            column);
+      }
+   }
+};
+
+const double distribution_tester::quantiles[19] = 
+{
+   0.000001,
+   0.00001,
+   0.0001,
+   0.001,
+   0.01,
+   0.1,
+   0.2,
+   0.3,
+   0.4,
+   0.5,
+   0.6,
+   0.7,
+   0.8,
+   0.9,
+   0.99,
+   0.999,
+   0.9999,
+   0.99999,
+   0.999999
+};
+
+template <class D>
+struct three_param_quantile
+{
+   template <class T, class U, class V, class X>
+   double operator()(T x, U y, V z, X q)const
+   {
+      return quantile(D(x, y, z), q);
+   }
+};
+
+template <class D>
+struct two_param_quantile
+{
+   template <class T, class U, class V>
+   double operator()(T x, U y, V q)const
+   {
+      return quantile(D(x, y), q);
+   }
+};
+
+template <class D>
+struct one_param_quantile
+{
+   template <class T, class V>
+   double operator()(T x, V q)const
+   {
+      return quantile(D(x), q);
+   }
+};
+
+template <template <class T, class U> class D>
+void test_boost_1_param(distribution_tester& tester)
+{
+   //
+   // Define some custom policies to test:
+   //
+   typedef boost::math::policies::policy<> default_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false> > no_promote_double_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false>, boost::math::policies::digits10<10> > no_promote_double_10_digits_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_float<false> > no_promote_float_policy;
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, default_policy>(v[0]), x); }, "PDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, default_policy>(v[0]), x); }, "CDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, default_policy>(v[0]), x); }, "quantile", boost_name(), true, distribution_tester::both_tables);
+   if(sizeof(double) != sizeof(long double))
+   {
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_policy>(v[0]), x); }, "PDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_policy>(v[0]), x); }, "CDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_policy>(v[0]), x); }, "quantile", "Boost[br]promote_double<false>", true, distribution_tester::both_tables);
+   }
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_10_digits_policy>(v[0]), x); }, "PDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_10_digits_policy>(v[0]), x); }, "CDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_10_digits_policy>(v[0]), x); }, "quantile", "Boost[br]promote_double<false>[br]digits10<10>", true, distribution_tester::boost_only_table);
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<float, no_promote_float_policy>(static_cast<float>(v[0])), static_cast<float>(x)); }, "PDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<float, no_promote_float_policy>(static_cast<float>(v[0])), static_cast<float>(x)); }, "CDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<float, no_promote_float_policy>(static_cast<float>(v[0])), static_cast<float>(x)); }, "quantile", "Boost[br]float[br]promote_float<false>", true, distribution_tester::boost_only_table);
+}
+
+template <template <class T, class U> class D>
+void test_boost_2_param(distribution_tester& tester)
+{
+   //
+   // Define some custom policies to test:
+   //
+   typedef boost::math::policies::policy<> default_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false> > no_promote_double_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false>, boost::math::policies::digits10<10> > no_promote_double_10_digits_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_float<false> > no_promote_float_policy;
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, default_policy>(v[0], v[1]), x); }, "PDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, default_policy>(v[0], v[1]), x); }, "CDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, default_policy>(v[0], v[1]), x); }, "quantile", boost_name(), true, distribution_tester::both_tables);
+   if(sizeof(double) != sizeof(long double))
+   {
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_policy>(v[0], v[1]), x); }, "PDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_policy>(v[0], v[1]), x); }, "CDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_policy>(v[0], v[1]), x); }, "quantile", "Boost[br]promote_double<false>", true, distribution_tester::both_tables);
+   }
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_10_digits_policy>(v[0], v[1]), x); }, "PDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_10_digits_policy>(v[0], v[1]), x); }, "CDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_10_digits_policy>(v[0], v[1]), x); }, "quantile", "Boost[br]promote_double<false>[br]digits10<10>", true, distribution_tester::boost_only_table);
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1])), static_cast<float>(x)); }, "PDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1])), static_cast<float>(x)); }, "CDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1])), static_cast<float>(x)); }, "quantile", "Boost[br]float[br]promote_float<false>", true, distribution_tester::boost_only_table);
+}
+
+template <template <class T, class U> class D>
+void test_boost_3_param(distribution_tester& tester)
+{
+   //
+   // Define some custom policies to test:
+   //
+   typedef boost::math::policies::policy<> default_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false> > no_promote_double_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_double<false>, boost::math::policies::digits10<10> > no_promote_double_10_digits_policy;
+   typedef boost::math::policies::policy<boost::math::policies::promote_float<false> > no_promote_float_policy;
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, default_policy>(v[0], v[1], v[2]), x); }, "PDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, default_policy>(v[0], v[1], v[2]), x); }, "CDF", boost_name(), false, distribution_tester::both_tables);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, default_policy>(v[0], v[1], v[2]), x); }, "quantile", boost_name(), true, distribution_tester::both_tables);
+   if(sizeof(double) != sizeof(long double))
+   {
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_policy>(v[0], v[1], v[2]), x); }, "PDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_policy>(v[0], v[1], v[2]), x); }, "CDF", "Boost[br]promote_double<false>", false, distribution_tester::both_tables);
+      tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_policy>(v[0], v[1], v[2]), x); }, "quantile", "Boost[br]promote_double<false>", true, distribution_tester::both_tables);
+   }
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<double, no_promote_double_10_digits_policy>(v[0], v[1], v[2]), x); }, "PDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<double, no_promote_double_10_digits_policy>(v[0], v[1], v[2]), x); }, "CDF", "Boost[br]promote_double<false>[br]digits10<10>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<double, no_promote_double_10_digits_policy>(v[0], v[1], v[2]), x); }, "quantile", "Boost[br]promote_double<false>[br]digits10<10>", true, distribution_tester::boost_only_table);
+
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return pdf(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1]), static_cast<float>(v[2])), static_cast<float>(x)); }, "PDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return cdf(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1]), static_cast<float>(v[2])), static_cast<float>(x)); }, "CDF", "Boost[br]float[br]promote_float<false>", false, distribution_tester::boost_only_table);
+   tester.run_timed_tests([](const std::vector<double>& v, double x){  return quantile(D<float, no_promote_float_policy>(static_cast<float>(v[0]), static_cast<float>(v[1]), static_cast<float>(v[2])), static_cast<float>(x)); }, "quantile", "Boost[br]float[br]promote_float<false>", true, distribution_tester::boost_only_table);
+}
+
+int main()
+{
+   try {
+      //
+      // Normal:
+      //
+      distribution_tester n("Normal");
+      n.add_test_case(0, 1, two_param_quantile<boost::math::normal_distribution<> >());
+      n.add_test_case(20, 20, two_param_quantile<boost::math::normal_distribution<> >());
+      n.add_test_case(-20, 0.0125, two_param_quantile<boost::math::normal_distribution<> >());
+
+      test_boost_2_param<boost::math::normal_distribution>(n);
+
+      distribution_tester arcsine("ArcSine");
+      arcsine.add_test_case(0, 1, two_param_quantile<boost::math::arcsine_distribution<> >());
+      arcsine.add_test_case(20, 500, two_param_quantile<boost::math::arcsine_distribution<> >());
+      arcsine.add_test_case(-20, 100000, two_param_quantile<boost::math::arcsine_distribution<> >());
+
+      test_boost_2_param<boost::math::arcsine_distribution>(arcsine);
+
+      distribution_tester beta("Beta");
+      beta.add_test_case(1, 4, two_param_quantile<boost::math::beta_distribution<> >());
+      beta.add_test_case(20, 500, two_param_quantile<boost::math::beta_distribution<> >());
+      beta.add_test_case(0.1, 0.01, two_param_quantile<boost::math::beta_distribution<> >());
+
+      test_boost_2_param<boost::math::beta_distribution>(beta);
+
+      distribution_tester binomial("Binomial");
+      binomial.add_test_case(5, 0.125, two_param_quantile<boost::math::binomial_distribution<> >());
+      binomial.add_test_case(200, 0.75, two_param_quantile<boost::math::binomial_distribution<> >());
+      binomial.add_test_case(2000, 0.5, two_param_quantile<boost::math::binomial_distribution<> >());
+      binomial.add_test_case(20000, 0.001, two_param_quantile<boost::math::binomial_distribution<> >());
+      binomial.add_test_case(200000, 0.99, two_param_quantile<boost::math::binomial_distribution<> >());
+
+      test_boost_2_param<boost::math::binomial_distribution>(binomial);
+
+      distribution_tester cauchy("Cauchy");
+      cauchy.add_test_case(0, 1, two_param_quantile<boost::math::cauchy_distribution<> >());
+      cauchy.add_test_case(20, 20, two_param_quantile<boost::math::cauchy_distribution<> >());
+      cauchy.add_test_case(-20, 0.0125, two_param_quantile<boost::math::cauchy_distribution<> >());
+
+      test_boost_2_param<boost::math::cauchy_distribution>(cauchy);
+
+      distribution_tester chi_squared("ChiSquared");
+      chi_squared.add_test_case(3, one_param_quantile<boost::math::chi_squared_distribution<> >());
+      chi_squared.add_test_case(20, one_param_quantile<boost::math::chi_squared_distribution<> >());
+      chi_squared.add_test_case(200, one_param_quantile<boost::math::chi_squared_distribution<> >());
+      chi_squared.add_test_case(2000, one_param_quantile<boost::math::chi_squared_distribution<> >());
+      chi_squared.add_test_case(20000, one_param_quantile<boost::math::chi_squared_distribution<> >());
+      chi_squared.add_test_case(200000, one_param_quantile<boost::math::chi_squared_distribution<> >());
+
+      test_boost_1_param<boost::math::chi_squared_distribution>(chi_squared);
+
+      distribution_tester exponential("Exponential");
+      exponential.add_test_case(0.001, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(0.01, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(0.1, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(1, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(10, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(100, one_param_quantile<boost::math::exponential_distribution<> >());
+      exponential.add_test_case(1000, one_param_quantile<boost::math::exponential_distribution<> >());
+
+      test_boost_1_param<boost::math::exponential_distribution>(exponential);
+
+      distribution_tester extreme_value("ExtremeValue");
+      extreme_value.add_test_case(0, 1, two_param_quantile<boost::math::extreme_value_distribution<> >());
+      extreme_value.add_test_case(20, 20, two_param_quantile<boost::math::extreme_value_distribution<> >());
+      extreme_value.add_test_case(-20, 0.0125, two_param_quantile<boost::math::extreme_value_distribution<> >());
+
+      test_boost_2_param<boost::math::extreme_value_distribution>(extreme_value);
+
+      distribution_tester fisher("F");
+      for (unsigned i = 2; i <= 200000; i *= 10)
+      {
+         for (unsigned j = 2; j <= 200000; j *= 10)
+         {
+            fisher.add_test_case(i, j, two_param_quantile<boost::math::fisher_f_distribution<> >());
+         }
+      }
+      test_boost_2_param<boost::math::fisher_f_distribution>(fisher);
+
+      distribution_tester gamma("Gamma");
+      gamma.add_test_case(0.1, 1, two_param_quantile<boost::math::gamma_distribution<> >());
+      gamma.add_test_case(20, 20, two_param_quantile<boost::math::gamma_distribution<> >());
+      gamma.add_test_case(200, 0.0125, two_param_quantile<boost::math::gamma_distribution<> >());
+      gamma.add_test_case(2000, 500, two_param_quantile<boost::math::gamma_distribution<> >());
+
+      test_boost_2_param<boost::math::gamma_distribution>(gamma);
+
+      distribution_tester geometric("Geometric");
+      geometric.add_test_case(0.001, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.01, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.1, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.5, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.9, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.99, one_param_quantile<boost::math::geometric_distribution<> >());
+      geometric.add_test_case(0.999, one_param_quantile<boost::math::geometric_distribution<> >());
+
+      test_boost_1_param<boost::math::geometric_distribution>(geometric);
+
+      distribution_tester hypergeometric("Hypergeometric");
+      hypergeometric.add_test_case(10, 5, 100, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(50, 75, 100, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(30, 20, 100, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(100, 50, 1000000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(500000, 3000, 1000000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(20000, 800000, 1000000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(100, 5, 1000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(500, 50, 1000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(2, 25, 1000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(1, 5, 1000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+      hypergeometric.add_test_case(100, 500, 1000, three_param_quantile<boost::math::hypergeometric_distribution<> >());
+
+      test_boost_3_param<boost::math::hypergeometric_distribution>(hypergeometric);
+
+      distribution_tester inverse_chi_squared("InverseChiSquared");
+      inverse_chi_squared.add_test_case(5, 0.125, two_param_quantile<boost::math::inverse_chi_squared_distribution<> >());
+      inverse_chi_squared.add_test_case(200, 0.75, two_param_quantile<boost::math::inverse_chi_squared_distribution<> >());
+      inverse_chi_squared.add_test_case(2000, 1, two_param_quantile<boost::math::inverse_chi_squared_distribution<> >());
+      inverse_chi_squared.add_test_case(20000, 10, two_param_quantile<boost::math::inverse_chi_squared_distribution<> >());
+      inverse_chi_squared.add_test_case(200000, 100, two_param_quantile<boost::math::inverse_chi_squared_distribution<> >());
+
+      test_boost_2_param<boost::math::inverse_chi_squared_distribution>(inverse_chi_squared);
+
+      distribution_tester inverse_gamma("InverseGamma");
+      inverse_gamma.add_test_case(0.1, 1, two_param_quantile<boost::math::inverse_gamma_distribution<> >());
+      inverse_gamma.add_test_case(20, 20, two_param_quantile<boost::math::inverse_gamma_distribution<> >());
+      inverse_gamma.add_test_case(200, 0.0125, two_param_quantile<boost::math::inverse_gamma_distribution<> >());
+      inverse_gamma.add_test_case(2000, 500, two_param_quantile<boost::math::inverse_gamma_distribution<> >());
+
+      test_boost_2_param<boost::math::inverse_gamma_distribution>(inverse_gamma);
+
+      distribution_tester inverse_gaussian("InverseGaussian");
+      inverse_gaussian.add_test_case(0.001, 1, two_param_quantile<boost::math::inverse_gaussian_distribution<> >());
+      inverse_gaussian.add_test_case(20, 20, two_param_quantile<boost::math::inverse_gaussian_distribution<> >());
+
+      test_boost_2_param<boost::math::inverse_gaussian_distribution>(inverse_gaussian);
+
+      distribution_tester laplace("Laplace");
+      laplace.add_test_case(0, 1, two_param_quantile<boost::math::laplace_distribution<> >());
+      laplace.add_test_case(20, 20, two_param_quantile<boost::math::laplace_distribution<> >());
+      laplace.add_test_case(-20, 0.0125, two_param_quantile<boost::math::laplace_distribution<> >());
+
+      test_boost_2_param<boost::math::laplace_distribution>(laplace);
+
+      distribution_tester logistic("Logistic");
+      logistic.add_test_case(0, 1, two_param_quantile<boost::math::logistic_distribution<> >());
+      logistic.add_test_case(20, 20, two_param_quantile<boost::math::logistic_distribution<> >());
+      logistic.add_test_case(-20, 0.0125, two_param_quantile<boost::math::logistic_distribution<> >());
+
+      test_boost_2_param<boost::math::logistic_distribution>(logistic);
+
+      distribution_tester lognormal("LogNormal");
+      lognormal.add_test_case(0, 1, two_param_quantile<boost::math::lognormal_distribution<> >());
+      lognormal.add_test_case(20, 20, two_param_quantile<boost::math::lognormal_distribution<> >());
+      lognormal.add_test_case(-20, 0.0125, two_param_quantile<boost::math::lognormal_distribution<> >());
+
+      test_boost_2_param<boost::math::lognormal_distribution>(lognormal);
+
+      distribution_tester negative_binomial("NegativeBinomial");
+      negative_binomial.add_test_case(5, 0.125, two_param_quantile<boost::math::negative_binomial_distribution<> >());
+      negative_binomial.add_test_case(200, 0.75, two_param_quantile<boost::math::negative_binomial_distribution<> >());
+      negative_binomial.add_test_case(2000, 0.001, two_param_quantile<boost::math::negative_binomial_distribution<> >());
+      negative_binomial.add_test_case(20000, 0.5, two_param_quantile<boost::math::negative_binomial_distribution<> >());
+      negative_binomial.add_test_case(200000, 0.99, two_param_quantile<boost::math::negative_binomial_distribution<> >());
+
+      test_boost_2_param<boost::math::negative_binomial_distribution>(negative_binomial);
+
+      distribution_tester non_central_beta("NonCentralBeta");
+      non_central_beta.add_test_case(2, 5, 2.1, three_param_quantile<boost::math::non_central_beta_distribution<> >());
+      non_central_beta.add_test_case(0.25, 0.01, 20, three_param_quantile<boost::math::non_central_beta_distribution<> >());
+      non_central_beta.add_test_case(20, 3, 30, three_param_quantile<boost::math::non_central_beta_distribution<> >());
+      non_central_beta.add_test_case(100, 200, 400, three_param_quantile<boost::math::non_central_beta_distribution<> >());
+      non_central_beta.add_test_case(100, 0.25, 20, three_param_quantile<boost::math::non_central_beta_distribution<> >());
+
+      test_boost_3_param<boost::math::non_central_beta_distribution>(non_central_beta);
+
+      distribution_tester non_central_chi_squared("NonCentralChiSquared");
+      non_central_chi_squared.add_test_case(5, 0.5, two_param_quantile<boost::math::non_central_chi_squared_distribution<> >());
+      non_central_chi_squared.add_test_case(200, 2, two_param_quantile<boost::math::non_central_chi_squared_distribution<> >());
+      non_central_chi_squared.add_test_case(2000, 20, two_param_quantile<boost::math::non_central_chi_squared_distribution<> >());
+      non_central_chi_squared.add_test_case(20000, 10, two_param_quantile<boost::math::non_central_chi_squared_distribution<> >());
+      non_central_chi_squared.add_test_case(200000, 50, two_param_quantile<boost::math::non_central_chi_squared_distribution<> >());
+
+      test_boost_2_param<boost::math::non_central_chi_squared_distribution>(non_central_chi_squared);
+
+      distribution_tester non_central_f("NonCentralF");
+      non_central_f.add_test_case(20, 20, 3, three_param_quantile<boost::math::non_central_f_distribution<> >());
+      non_central_f.add_test_case(20, 50, 20, three_param_quantile<boost::math::non_central_f_distribution<> >());
+      non_central_f.add_test_case(100, 20, 30, three_param_quantile<boost::math::non_central_f_distribution<> >());
+      non_central_f.add_test_case(100, 200, 100, three_param_quantile<boost::math::non_central_f_distribution<> >());
+      non_central_f.add_test_case(1000, 100000, 20, three_param_quantile<boost::math::non_central_f_distribution<> >());
+
+      test_boost_3_param<boost::math::non_central_f_distribution>(non_central_f);
+
+      distribution_tester non_central_t("NonCentralT");
+      non_central_t.add_test_case(5, 0.5, two_param_quantile<boost::math::non_central_t_distribution<> >());
+      non_central_t.add_test_case(200, 2, two_param_quantile<boost::math::non_central_t_distribution<> >());
+      non_central_t.add_test_case(2000, 20, two_param_quantile<boost::math::non_central_t_distribution<> >());
+      non_central_t.add_test_case(20000, 10, two_param_quantile<boost::math::non_central_t_distribution<> >());
+      non_central_t.add_test_case(200000, 50, two_param_quantile<boost::math::non_central_t_distribution<> >());
+
+      test_boost_2_param<boost::math::non_central_t_distribution>(non_central_t);
+
+      distribution_tester pareto("Pareto");
+      pareto.add_test_case(0.1, 1, two_param_quantile<boost::math::pareto_distribution<> >());
+      pareto.add_test_case(20, 20, two_param_quantile<boost::math::pareto_distribution<> >());
+      pareto.add_test_case(200, 0.0125, two_param_quantile<boost::math::pareto_distribution<> >());
+      pareto.add_test_case(2000, 500, two_param_quantile<boost::math::pareto_distribution<> >());
+
+      test_boost_2_param<boost::math::pareto_distribution>(pareto);
+
+      distribution_tester poisson("Poisson");
+      poisson.add_test_case(0.001, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(0.01, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(0.1, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(1, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(10, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(100, one_param_quantile<boost::math::poisson_distribution<> >());
+      poisson.add_test_case(1000, one_param_quantile<boost::math::poisson_distribution<> >());
+
+      test_boost_1_param<boost::math::poisson_distribution>(poisson);
+
+      distribution_tester rayleigh("Rayleigh");
+      rayleigh.add_test_case(0.001, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(0.01, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(0.1, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(1, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(10, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(100, one_param_quantile<boost::math::rayleigh_distribution<> >());
+      rayleigh.add_test_case(1000, one_param_quantile<boost::math::rayleigh_distribution<> >());
+
+      test_boost_1_param<boost::math::rayleigh_distribution>(rayleigh);
+
+      distribution_tester skew_norm("SkewNormal");
+      skew_norm.add_test_case(0, 1, 0.1, three_param_quantile<boost::math::skew_normal_distribution<> >());
+      skew_norm.add_test_case(20, 20, 30, three_param_quantile<boost::math::skew_normal_distribution<> >());
+      skew_norm.add_test_case(-20, 0.0125, 10, three_param_quantile<boost::math::skew_normal_distribution<> >());
+
+      test_boost_3_param<boost::math::skew_normal_distribution>(skew_norm);
+
+      distribution_tester students_t("StudentsT");
+      students_t.add_test_case(3, one_param_quantile<boost::math::students_t_distribution<> >());
+      students_t.add_test_case(20, one_param_quantile<boost::math::students_t_distribution<> >());
+      students_t.add_test_case(200, one_param_quantile<boost::math::students_t_distribution<> >());
+      students_t.add_test_case(2000, one_param_quantile<boost::math::students_t_distribution<> >());
+      students_t.add_test_case(20000, one_param_quantile<boost::math::students_t_distribution<> >());
+      students_t.add_test_case(200000, one_param_quantile<boost::math::students_t_distribution<> >());
+
+      test_boost_1_param<boost::math::students_t_distribution>(students_t);
+
+      distribution_tester weibull("Weibull");
+      weibull.add_test_case(0.1, 1, two_param_quantile<boost::math::weibull_distribution<> >());
+      weibull.add_test_case(20, 20, two_param_quantile<boost::math::weibull_distribution<> >());
+      weibull.add_test_case(200, 0.0125, two_param_quantile<boost::math::weibull_distribution<> >());
+      weibull.add_test_case(2000, 500, two_param_quantile<boost::math::weibull_distribution<> >());
+
+      test_boost_2_param<boost::math::weibull_distribution>(weibull);
+
+#ifdef TEST_GSL
+      // normal, note no location param
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_gaussian_P(x, v[1]); }, "CDF", "GSL");
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_gaussian_Pinv(x, v[1]); }, "quantile", "GSL", true);
+      // exponential:
+      exponential.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_exponential_P(x, 1 / v[0]); }, "CDF", "GSL");
+      exponential.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_exponential_Pinv(x, 1 / v[0]); }, "quantile", "GSL", true);
+      // laplace, note no location param:
+      laplace.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_laplace_P(x, v[1]); }, "CDF", "GSL");
+      laplace.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_laplace_Pinv(x, v[1]); }, "quantile", "GSL", true);
+      // cauchy, note no location param:
+      cauchy.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_cauchy_P(x, v[1]); }, "CDF", "GSL");
+      cauchy.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_cauchy_Pinv(x, v[1]); }, "quantile", "GSL", true);
+      // rayleigh:
+      rayleigh.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_rayleigh_P(x, v[0]); }, "CDF", "GSL");
+      rayleigh.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_rayleigh_Pinv(x, v[0]); }, "quantile", "GSL", true);
+      // gamma:
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_gamma_P(x, v[0], v[1]); }, "CDF", "GSL");
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_gamma_Pinv(x, v[0], v[1]); }, "quantile", "GSL", true);
+      // lognormal:
+      lognormal.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_lognormal_P(x, v[0], v[1]); }, "CDF", "GSL");
+      lognormal.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_lognormal_Pinv(x, v[0], v[1]); }, "quantile", "GSL", true);
+      // chi squared:
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_chisq_P(x, v[0]); }, "CDF", "GSL");
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_chisq_Pinv(x, v[0]); }, "quantile", "GSL", true);
+      // F:
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_fdist_P(x, v[0], v[1]); }, "CDF", "GSL");
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_fdist_Pinv(x, v[0], v[1]); }, "quantile", "GSL", true);
+      // T:
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_tdist_P(x, v[0]); }, "CDF", "GSL");
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_tdist_Pinv(x, v[0]); }, "quantile", "GSL", true);
+      // beta:
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_beta_P(x, v[0], v[1]); }, "CDF", "GSL");
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_beta_Pinv(x, v[0], v[1]); }, "quantile", "GSL", true);
+      // logistic, note no location param
+      logistic.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_logistic_P(x, v[1]); }, "CDF", "GSL");
+      logistic.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_logistic_Pinv(x, v[1]); }, "quantile", "GSL", true);
+      // pareto:
+      pareto.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_pareto_P(x, v[1], v[0]); }, "CDF", "GSL");
+      pareto.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_pareto_Pinv(x, v[1], v[0]); }, "quantile", "GSL", true);
+      // weibull:
+      weibull.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_weibull_P(x, v[1], v[0]); }, "CDF", "GSL");
+      weibull.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_weibull_Pinv(x, v[1], v[0]); }, "quantile", "GSL", true);
+      // poisson:
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_poisson_P(x, v[0]); }, "CDF", "GSL");
+      //poisson.run_timed_tests([](const std::vector<double>& v, double x){  return gsl_cdf_poisson_Pinv(x, v[0]); }, "quantile", "GSL", true);
+      // binomial:
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_binomial_P(x, v[1], v[0]); }, "CDF", "GSL");
+      //binomial.run_timed_tests([](const std::vector<double>& v, double x){  return gsl_cdf_binomial_Pinv(x, v[1], v[0]); }, "quantile", "GSL", true);
+      // negative_binomial:
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_negative_binomial_P(x, v[1], v[0]); }, "CDF", "GSL");
+      //negative_binomial.run_timed_tests([](const std::vector<double>& v, double x){  return gsl_cdf_negative_binomial_Pinv(x, v[1], v[0]); }, "quantile", "GSL", true);
+      // geometric:
+      geometric.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_geometric_P(x + 1, v[0]); }, "CDF", "GSL");
+      //geometric.run_timed_tests([](const std::vector<double>& v, double x){  return gsl_cdf_geometric_Pinv(x, v[0]) - 1; }, "quantile", "GSL", true);
+      // hypergeometric:
+      hypergeometric.run_timed_tests([](const std::vector<double>& v, double x) {  return gsl_cdf_hypergeometric_P(x, v[0], v[2] - v[0], v[1]); }, "CDF", "GSL");
+      //hypergeometric.run_timed_tests([](const std::vector<double>& v, double x){  return gsl_cdf_hypergeometric_Pinv(x, v[0], v[2] - v[0], v[1]); }, "quantile", "GSL", true);
+#endif
+
+#ifdef TEST_RMATH
+   // beta
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return dbeta(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return pbeta(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return qbeta(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // non-central beta
+      non_central_beta.run_timed_tests([](const std::vector<double>& v, double x) {  return dnbeta(x, v[0], v[1], v[2], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      non_central_beta.run_timed_tests([](const std::vector<double>& v, double x) {  return pnbeta(x, v[0], v[1], v[2], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      non_central_beta.run_timed_tests([](const std::vector<double>& v, double x) {  return qnbeta(x, v[0], v[1], v[2], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // binomial
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dbinom(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return pbinom(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return qbinom(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // cauchy
+      cauchy.run_timed_tests([](const std::vector<double>& v, double x) {  return dcauchy(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      cauchy.run_timed_tests([](const std::vector<double>& v, double x) {  return pcauchy(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      cauchy.run_timed_tests([](const std::vector<double>& v, double x) {  return qcauchy(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // chi squared
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dchisq(x, v[0], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return pchisq(x, v[0], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return qchisq(x, v[0], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // non central chi squared
+      non_central_chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dnchisq(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      non_central_chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return pnchisq(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      non_central_chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return qnchisq(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // exponential
+      exponential.run_timed_tests([](const std::vector<double>& v, double x) {  return dexp(x, 1 / v[0], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      exponential.run_timed_tests([](const std::vector<double>& v, double x) {  return pexp(x, 1 / v[0], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      exponential.run_timed_tests([](const std::vector<double>& v, double x) {  return qexp(x, 1 / v[0], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // F
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return df(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return pf(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return qf(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // non central F
+      non_central_f.run_timed_tests([](const std::vector<double>& v, double x) {  return dnf(x, v[0], v[1], v[2], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      non_central_f.run_timed_tests([](const std::vector<double>& v, double x) {  return pnf(x, v[0], v[1], v[2], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      non_central_f.run_timed_tests([](const std::vector<double>& v, double x) {  return qnf(x, v[0], v[1], v[2], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // gamma
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return dgamma(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return pgamma(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return qgamma(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // geometric
+      geometric.run_timed_tests([](const std::vector<double>& v, double x) {  return dgeom(x, v[0], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      geometric.run_timed_tests([](const std::vector<double>& v, double x) {  return pgeom(x, v[0], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      geometric.run_timed_tests([](const std::vector<double>& v, double x) {  return qgeom(x, v[0], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // hypergeometric
+      hypergeometric.run_timed_tests([](const std::vector<double>& v, double x) {  return dhyper(x, v[0], v[2] - v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      hypergeometric.run_timed_tests([](const std::vector<double>& v, double x) {  return phyper(x, v[0], v[2] - v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      hypergeometric.run_timed_tests([](const std::vector<double>& v, double x) {  return qhyper(x, v[0], v[2] - v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // logistic
+      logistic.run_timed_tests([](const std::vector<double>& v, double x) {  return dlogis(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      logistic.run_timed_tests([](const std::vector<double>& v, double x) {  return plogis(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      logistic.run_timed_tests([](const std::vector<double>& v, double x) {  return qlogis(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // lognormal
+      lognormal.run_timed_tests([](const std::vector<double>& v, double x) {  return dlnorm(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      lognormal.run_timed_tests([](const std::vector<double>& v, double x) {  return plnorm(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      lognormal.run_timed_tests([](const std::vector<double>& v, double x) {  return qlnorm(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // negative_binomial
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dnbinom(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return pnbinom(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return qnbinom(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // normal
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return dnorm(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return pnorm(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return qnorm(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // poisson
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return dpois(x, v[0], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return ppois(x, v[0], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return qpois(x, v[0], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // T
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dt(x, v[0], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return pt(x, v[0], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return qt(x, v[0], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // non central T
+      non_central_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dnt(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      non_central_t.run_timed_tests([](const std::vector<double>& v, double x) {  return pnt(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      non_central_t.run_timed_tests([](const std::vector<double>& v, double x) {  return qnt(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+      // weibull
+      weibull.run_timed_tests([](const std::vector<double>& v, double x) {  return dweibull(x, v[0], v[1], 0); }, "PDF", "Rmath "  R_VERSION_STRING);
+      weibull.run_timed_tests([](const std::vector<double>& v, double x) {  return pweibull(x, v[0], v[1], 1, 0); }, "CDF", "Rmath "  R_VERSION_STRING);
+      weibull.run_timed_tests([](const std::vector<double>& v, double x) {  return qweibull(x, v[0], v[1], 1, 0); }, "quantile", "Rmath "  R_VERSION_STRING, true);
+
+#endif
+
+#ifdef TEST_DCDFLIB
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_norm_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      n.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_norm_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_beta_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      beta.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_beta_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_binomial_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_binomial_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_chi_cdf(x, v[0]); }, "CDF", "DCDFLIB");
+      chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_chi_quantile(x, v[0]); }, "quantile", "DCDFLIB", true);
+
+      non_central_chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_chi_n_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      non_central_chi_squared.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_chi_n_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_f_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      fisher.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_f_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      non_central_f.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_f_n_cdf(x, v[0], v[1], v[2]); }, "CDF", "DCDFLIB");
+      non_central_f.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_f_n_quantile(x, v[0], v[1], v[2]); }, "quantile", "DCDFLIB", true);
+
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_gamma_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      gamma.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_gamma_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_nbin_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      negative_binomial.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_nbin_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_poisson_cdf(x, v[0]); }, "CDF", "DCDFLIB");
+      poisson.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_poisson_quantile(x, v[0]); }, "quantile", "DCDFLIB", true);
+
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_t_cdf(x, v[0]); }, "CDF", "DCDFLIB");
+      students_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_t_quantile(x, v[0]); }, "quantile", "DCDFLIB", true);
+
+      non_central_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_t_n_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB");
+      non_central_t.run_timed_tests([](const std::vector<double>& v, double x) {  return dcdflib_t_n_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true);
+#endif
+
+   }
+   catch(const std::exception& e)
+   {
+      std::cout << "Test run aborted due to thrown exception: " << e.what() << std::endl;
+      return 1;
+   }
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_dn.cpp b/src/boost/libs/math/reporting/performance/test_dn.cpp
new file mode 100644
index 00000000..4abe1e68
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_dn.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+    static const boost::array<boost::array<T, 5>, 36> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+        {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+
+        // Try modulus > 1
+        {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+        {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+
+        // Special Values:
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }},
+        {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }},
+    }};
+
+
+int main()
+{
+#include "jacobi_elliptic.ipp"
+#include "jacobi_elliptic_small.ipp"
+#include "jacobi_near_1.ipp"
+#include "jacobi_large_phi.ipp"
+
+   add_data(data1);
+   add_data(jacobi_elliptic);
+   add_data(jacobi_elliptic_small);
+   add_data(jacobi_near_1);
+   add_data(jacobi_large_phi);
+
+   unsigned data_total = data.size();
+
+
+   std::cout << "Screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::jacobi_dn(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[4];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return d;
+   }, [](const std::vector<double>& v){ return v[4];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "jacobi_dn[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "jacobi_dn";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_dn(v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_dn(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return d;
+   });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_1.cpp b/src/boost/libs/math/reporting/performance/test_ellint_1.cpp
new file mode 100644
index 00000000..17941a38
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_1.cpp
@@ -0,0 +1,102 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 19> data1 = { {
+   { { SC_(0.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(-10.0), SC_(0.0), SC_(-10.0) } },
+   { { SC_(-1.0), SC_(-1.0), SC_(-1.2261911708835170708130609674719067527242483502207) } },
+   { { SC_(-4.0), SC_(0.875), SC_(-5.3190556182262405182189463092940736859067548232647) } },
+   { { SC_(8.0), SC_(-0.625), SC_(9.0419973860310100524448893214394562615252527557062) } },
+   { { SC_(1e-05), SC_(0.875), SC_(0.000010000000000127604166668510945638036143355898993088) } },
+   { { SC_(1e+05), T(10) / 1024, SC_(100002.38431454899771096037307519328741455615271038) } },
+   { { SC_(1e-20), SC_(1.0), SC_(1.0000000000000000000000000000000000000000166666667e-20) } },
+   { { SC_(1e-20), SC_(1e-20), SC_(1.000000000000000e-20) } },
+   { { SC_(1e+20), T(400) / 1024, SC_(1.0418143796499216839719289963154558027005142709763e20) } },
+   { { SC_(1e+50), SC_(0.875), SC_(1.3913251718238765549409892714295358043696028445944e50) } },
+   { { SC_(2.0), SC_(0.5), SC_(2.1765877052210673672479877957388515321497888026770) } },
+   { { SC_(4.0), SC_(0.5), SC_(4.2543274975235836861894752787874633017836785640477) } },
+   { { SC_(6.0), SC_(0.5), SC_(6.4588766202317746302999080620490579800463614807916) } },
+   { { SC_(10.0), SC_(0.5), SC_(10.697409951222544858346795279378531495869386960090) } },
+   { { SC_(-2.0), SC_(0.5), SC_(-2.1765877052210673672479877957388515321497888026770) } },
+   { { SC_(-4.0), SC_(0.5), SC_(-4.2543274975235836861894752787874633017836785640477) } },
+   { { SC_(-6.0), SC_(0.5), SC_(-6.4588766202317746302999080620490579800463614807916) } },
+   { { SC_(-10.0), SC_(0.5), SC_(-10.697409951222544858346795279378531495869386960090) } },
+   } };
+
+int main()
+{
+#include "ellint_f_data.ipp"
+
+   add_data(data1);
+   add_data(ellint_f_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_1(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::ellint_1(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_F(v[0], v[1], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_1[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_1";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_1(v[1], v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_1(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::ellint_1(v[1], v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_F(v[0], v[1], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_1c.cpp b/src/boost/libs/math/reporting/performance/test_ellint_1c.cpp
new file mode 100644
index 00000000..e73d29c3
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_1c.cpp
@@ -0,0 +1,92 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 2>, 9> data2 = { {
+   { { SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) } },
+   { { SC_(0.125), SC_(1.5769867712158131421244030532288080803822271060839) } },
+   { { SC_(0.25), SC_(1.5962422221317835101489690714979498795055744578951) } },
+   { { T(300) / 1024, SC_(1.6062331054696636704261124078746600894998873503208) } },
+   { { T(400) / 1024, SC_(1.6364782007562008756208066125715722889067992997614) } },
+   { { SC_(-0.5), SC_(1.6857503548125960428712036577990769895008008941411) } },
+   { { SC_(-0.75), SC_(1.9109897807518291965531482187613425592531451316788) } },
+   { { 1 - T(1) / 8, SC_(2.185488469278223686913080323730158689730428415766) } },
+   { { 1 - T(1) / 1024, SC_(4.5074135978990422666372495313621124487894807327687) } },
+   } };
+
+int main()
+{
+#include "ellint_k_data.ipp"
+
+   add_data(data2);
+   add_data(ellint_k_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_1(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::comp_ellint_1(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_Kcomp(v[0], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_1 (complete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_1 (complete)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_1(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_1(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::comp_ellint_1(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_Kcomp(v[0], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_2.cpp b/src/boost/libs/math/reporting/performance/test_ellint_2.cpp
new file mode 100644
index 00000000..96365597
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_2.cpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 10> data1 = { {
+   { { SC_(0.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(-10.0), SC_(0.0), SC_(-10.0) } },
+   { { SC_(-1.0), SC_(-1.0), SC_(-0.84147098480789650665250232163029899962256306079837) } },
+   { { SC_(-4.0), T(900) / 1024, SC_(-3.1756145986492562317862928524528520686391383168377) } },
+   { { SC_(8.0), T(-600) / 1024, SC_(7.2473147180505693037677015377802777959345489333465) } },
+   { { SC_(1e-05), T(800) / 1024, SC_(9.999999999898274739584436515967055859383969942432E-6) } },
+   { { SC_(1e+05), T(100) / 1024, SC_(99761.153306972066658135668386691227343323331995888) } },
+   { { SC_(1e+10), SC_(-0.5), SC_(9.3421545766487137036576748555295222252286528414669e9) } },
+   { { static_cast<T>(ldexp(T(1), 66)), T(400) / 1024, SC_(7.0886102721911705466476846969992069994308167515242e19) } },
+   { { static_cast<T>(ldexp(T(1), 166)), T(900) / 1024, SC_(7.1259011068364515942912094521783688927118026465790e49) } },
+   } };
+
+int main()
+{
+#include "ellint_e2_data.ipp"
+
+   add_data(data1);
+   add_data(ellint_e2_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_2(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::ellint_2(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_E(v[0], v[1], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_2[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_2";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_2(v[1], v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_2(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::ellint_2(v[1], v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_E(v[0], v[1], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_2c.cpp b/src/boost/libs/math/reporting/performance/test_ellint_2c.cpp
new file mode 100644
index 00000000..f59037a9
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_2c.cpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 2>, 10> data2 = { {
+   { { SC_(-1.0), SC_(1.0) } },
+   { { SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) } },
+   { { T(100) / 1024, SC_(1.5670445330545086723323795143598956428788609133377) } },
+   { { T(200) / 1024, SC_(1.5557071588766556854463404816624361127847775545087) } },
+   { { T(300) / 1024, SC_(1.5365278991162754883035625322482669608948678755743) } },
+   { { T(400) / 1024, SC_(1.5090417763083482272165682786143770446401437564021) } },
+   { { SC_(-0.5), SC_(1.4674622093394271554597952669909161360253617523272) } },
+   { { T(-600) / 1024, SC_(1.4257538571071297192428217218834579920545946473778) } },
+   { { T(-800) / 1024, SC_(1.2927868476159125056958680222998765985004489572909) } },
+   { { T(-900) / 1024, SC_(1.1966864890248739524112920627353824133420353430982) } },
+   } };
+
+int main()
+{
+#include "ellint_e_data.ipp"
+
+   add_data(data2);
+   add_data(ellint_e_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_2(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::comp_ellint_2(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_Ecomp(v[0], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_2 (complete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_2 (complete)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_2(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_2(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::comp_ellint_2(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_Ecomp(v[0], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_3.cpp b/src/boost/libs/math/reporting/performance/test_ellint_3.cpp
new file mode 100644
index 00000000..0484fb4a
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_3.cpp
@@ -0,0 +1,162 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 4>, 65> data1 = { {
+   { { SC_(1.0), SC_(-1.0), SC_(0.0), SC_(-1.557407724654902230506974807458360173087) } },
+   { { SC_(0.0), SC_(-4.0), SC_(0.4), SC_(-4.153623371196831087495427530365430979011) } },
+   { { SC_(0.0), SC_(8.0), SC_(-0.6), SC_(8.935930619078575123490612395578518914416) } },
+   { { SC_(0.0), SC_(0.5), SC_(0.25), SC_(0.501246705365439492445236118603525029757890291780157969500480) } },
+   { { SC_(0.0), SC_(0.5), SC_(0.0), SC_(0.5) } },
+   { { SC_(-2.0), SC_(0.5), SC_(0.0), SC_(0.437501067017546278595664813509803743009132067629603474488486) } },
+   { { SC_(0.25), SC_(0.5), SC_(0.0), SC_(0.510269830229213412212501938035914557628394166585442994564135) } },
+   { { SC_(0.75), SC_(0.5), SC_(0.0), SC_(0.533293253875952645421201146925578536430596894471541312806165) } },
+   { { SC_(0.75), SC_(0.75), SC_(0.0), SC_(0.871827580412760575085768367421866079353646112288567703061975) } },
+   { { SC_(1.0), SC_(0.25), SC_(0.0), SC_(0.255341921221036266504482236490473678204201638800822621740476) } },
+   { { SC_(2.0), SC_(0.25), SC_(0.0), SC_(0.261119051639220165094943572468224137699644963125853641716219) } },
+   { { T(1023) / 1024, SC_(1.5), SC_(0.0), SC_(13.2821612239764190363647953338544569682942329604483733197131) } },
+   { { SC_(0.5), SC_(-1.0), SC_(0.5), SC_(-1.228014414316220642611298946293865487807) } },
+   { { SC_(0.5), SC_(1e+10), SC_(0.5), SC_(1.536591003599172091573590441336982730551e+10) } },
+   { { SC_(-1e+05), SC_(10.0), SC_(0.75), SC_(0.0347926099493147087821620459290460547131012904008557007934290) } },
+   { { SC_(-1e+10), SC_(10.0), SC_(0.875), SC_(0.000109956202759561502329123384755016959364346382187364656768212) } },
+   { { SC_(-1e+10), SC_(1e+20), SC_(0.875), SC_(1.00000626665567332602765201107198822183913978895904937646809e15) } },
+   { { SC_(-1e+10), T(1608) / 1024, SC_(0.875), SC_(0.0000157080616044072676127333183571107873332593142625043567690379) } },
+   { { 1 - T(1) / 1024, SC_(1e+20), SC_(0.875), SC_(6.43274293944380717581167058274600202023334985100499739678963e21) } },
+   { { SC_(50.0), SC_(0.125), SC_(0.25), SC_(0.196321043776719739372196642514913879497104766409504746018939) } },
+   { { SC_(1.125), SC_(1.0), SC_(0.25), SC_(1.77299767784815770192352979665283069318388205110727241629752) } },
+   { { SC_(1.125), SC_(10.0), SC_(0.25), SC_(0.662467818678976949597336360256848770217429434745967677192487) } },
+   { { SC_(1.125), SC_(3.0), SC_(0.25), SC_(-0.142697285116693775525461312178015106079842313950476205580178) } },
+   { { T(257) / 256, SC_(1.5), SC_(0.125), SC_(22.2699300473528164111357290313578126108398839810535700884237) } },
+   { { T(257) / 256, SC_(21.5), SC_(0.125), SC_(-0.535406081652313940727588125663856894154526187713506526799429) } },
+   // Bug cases from Rocco Romeo:
+   { { SC_(-1E-170), boost::math::constants::pi<T>() / 4, SC_(1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+   { { SC_(-1E-170), boost::math::constants::pi<T>() / 4, SC_(-1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+   { { -ldexp(T(1.0), -52), boost::math::constants::pi<T>() / 4, SC_(0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+   { { -ldexp(T(1.0), -52), boost::math::constants::pi<T>() / 4, SC_(-0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+   { { std::numeric_limits<T>::max_exponent > 600 ? -ldexp(T(1), 604) : T(0), -ldexp(T(1), -816), ldexp(T(1), -510), std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+   { { std::numeric_limits<T>::max_exponent > 600 ? -ldexp(T(1), 604) : T(0), -ldexp(T(1), -816), -ldexp(T(1), -510), std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+   { { -ldexp(T(1), -622), -ldexp(T(1), -800), ldexp(T(1), -132), SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+   { { -ldexp(T(1), -622), -ldexp(T(1), -800), -ldexp(T(1), -132), SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+   { { -ldexp(T(1), -562), ldexp(T(1), -140), ldexp(T(1), -256), SC_(7.174648137343063403129495466444370592154941142407760751e-43) } },
+   { { -ldexp(T(1), -562), -ldexp(T(1), -140), ldexp(T(1), -256), SC_(-7.17464813734306340312949546644437059215494114240776075e-43) } },
+   { { ldexp(T(1), -688), -ldexp(T(1), -243), ldexp(T(1), -193), SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+   { { -ldexp(T(1), -688), -ldexp(T(1), -243), ldexp(T(1), -193), SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+   // Special cases where k = 0:
+   { { SC_(0.5), SC_(1.0), SC_(0.0), SC_(1.17881507892743738986863357869566288974084658835353613038547) } },
+   { { SC_(-0.5), SC_(1.0), SC_(0.0), SC_(0.888286691263535380266337576823783210424994266596287990733270) } },
+   { { SC_(0.5), SC_(-1.0), SC_(0.0), SC_(-1.17881507892743738986863357869566288974084658835353613038547) } },
+   { { SC_(-0.5), SC_(-1.0), SC_(0.0), SC_(-0.888286691263535380266337576823783210424994266596287990733270) } },
+   // k == 0 and phi > pi/2:
+   { { SC_(0.5), SC_(2.0), SC_(0.0), SC_(3.03379730757207227653600089552126882582809860566558143254794) } },
+   { { SC_(-0.5), SC_(2.0), SC_(0.0), SC_(1.57453655812023739911111328195028658229986230310938753315640) } },
+   { { SC_(0.5), SC_(-2.0), SC_(0.0), SC_(-3.03379730757207227653600089552126882582809860566558143254794) } },
+   { { SC_(-0.5), SC_(-2.0), SC_(0.0), SC_(-1.57453655812023739911111328195028658229986230310938753315640) } },
+   // Special cases where k = 1:
+   { { SC_(0.5), SC_(1.0), SC_(1.0), SC_(1.4830998734200773326887632776553375078936815318419194718912351) } },
+   { { SC_(-0.5), SC_(1.0), SC_(1.0), SC_(1.07048347329000030842347009377117215811122412769516781788253) } },
+   { { SC_(0.5), SC_(-1.0), SC_(1.0), SC_(-1.4830998734200773326887632776553375078936815318419194718912) } },
+   { { SC_(-0.5), SC_(-1.0), SC_(1.0), SC_(-1.07048347329000030842347009377117215811122412769516781788253) } },
+   // special cases where v = 1:
+   { { SC_(1.0), SC_(0.5), SC_(0.5), SC_(0.55225234291197632914658859230278152249148960801635386133501) } },
+   { { SC_(1.0), SC_(-0.5), SC_(0.5), SC_(-0.55225234291197632914658859230278152249148960801635386133501) } },
+   { { SC_(1.0), SC_(2.0), SC_(0.5), SC_(-2.87534521505997989921579168327307068134740792740155171368532) } },
+   { { SC_(1.0), SC_(-2.0), SC_(0.5), SC_(2.87534521505997989921579168327307068134740792740155171368532) } },
+   { { SC_(1.0), SC_(2.0), ldexp(T(1), -200), SC_(-2.18503986326151899164330610231368254343201774622766316456295) } },
+   { { SC_(1.0), SC_(-2.0), ldexp(T(1), -200), SC_(2.18503986326151899164330610231368254343201774622766316456295) } },
+   { { SC_(1.0), ldexp(T(1.0), -150), ldexp(T(1), -200), SC_(7.006492321624085354618647916449580656401309709382578858e-46) } },
+   { { SC_(1.0), -ldexp(T(1.0), -150), ldexp(T(1), -200), SC_(-7.006492321624085354618647916449580656401309709382578858e-46) } },
+   // Previously unsupported region with v > 1 and |phi| > PI/2, this is the only region
+   // with high-ish error rates caused by argument reduction by Pi:
+   { { SC_(20.0), ldexp(T(1647611), -19), SC_(0.5), SC_(0.000975940902692994840122139131147517258405256880370413541280) } },
+   { { SC_(20.0), -ldexp(T(1647611), -19), SC_(0.5), SC_(-0.000975940902692994840122139131147517258405256880370413541280) } },
+   { { T(1.0) + ldexp(T(1), -6), ldexp(T(889085), -19), SC_(0.5), SC_(-27.1647225624906589308619292363045712770651414487085887109197) } },
+   { { T(1.0) + ldexp(T(1), -6), -ldexp(T(889085), -19), SC_(0.5), SC_(27.1647225624906589308619292363045712770651414487085887109197) } },
+   // Phi = 0:
+   { { SC_(1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+   { { SC_(-1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+   { { SC_(100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+   { { SC_(-100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+   } };
+
+
+int main()
+{
+#include "ellint_pi3_data.ipp"
+#include "ellint_pi3_large_data.ipp"
+
+   add_data(data1);
+   add_data(ellint_pi3_data);
+   add_data(ellint_pi3_large_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_3(v[2], v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return std::tr1 ::ellint_3(v[2], -v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_P(v[1], v[2], -v[0], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_3[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_3";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_3(v[2], v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_3(v[2], v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::ellint_3(v[2], -v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_P(v[1], v[2], -v[0], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_3c.cpp b/src/boost/libs/math/reporting/performance/test_ellint_3c.cpp
new file mode 100644
index 00000000..f8da39d1
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_3c.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "ellint_pi2_data.ipp"
+
+   add_data(ellint_pi2_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_3(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::comp_ellint_3(v[1], -v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_Pcomp(v[1], -v[0], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_3 (complete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_3 (complete)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_3(v[1], v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_3(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::comp_ellint_3(v[1], -v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_Pcomp(v[1], -v[0], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_rc.cpp b/src/boost/libs/math/reporting/performance/test_ellint_rc.cpp
new file mode 100644
index 00000000..9f1e2269
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_rc.cpp
@@ -0,0 +1,72 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "ellint_rc_data.ipp"
+
+   add_data(ellint_rc_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_rc(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_RC(v[0], v[1], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_rc[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_rc";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rc(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rc(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_RC(v[0], v[1], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_rd.cpp b/src/boost/libs/math/reporting/performance/test_ellint_rd.cpp
new file mode 100644
index 00000000..b8970989
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_rd.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "ellint_rd_data.ipp"
+#include "ellint_rd_xyy.ipp"
+#include "ellint_rd_xxz.ipp"
+#include "ellint_rd_0yy.ipp"
+#include "ellint_rd_xxx.ipp"
+#include "ellint_rd_0xy.ipp"
+
+   add_data(ellint_rd_data);
+   add_data(ellint_rd_xyy);
+   add_data(ellint_rd_xxz);
+   add_data(ellint_rd_0yy);
+   add_data(ellint_rd_xxx);
+   add_data(ellint_rd_0xy);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_rd(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_RD(v[0], v[1], v[2], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_rd[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_rd";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rd(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rd(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_RD(v[0], v[1], v[2], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_rf.cpp b/src/boost/libs/math/reporting/performance/test_ellint_rf.cpp
new file mode 100644
index 00000000..e7c5aeac
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_rf.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "ellint_rf_data.ipp"
+#include "ellint_rf_xxx.ipp"
+#include "ellint_rf_xyy.ipp"
+#include "ellint_rf_0yy.ipp"
+#include "ellint_rf_xy0.ipp"
+
+   add_data(ellint_rf_data);
+   add_data(ellint_rf_xxx);
+   add_data(ellint_rf_xyy);
+   add_data(ellint_rf_0yy);
+   add_data(ellint_rf_xy0);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_rf(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_RF(v[0], v[1], v[2], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_rf[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_rf";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rf(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rf(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_RF(v[0], v[1], v[2], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ellint_rj.cpp b/src/boost/libs/math/reporting/performance/test_ellint_rj.cpp
new file mode 100644
index 00000000..841195aa
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ellint_rj.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "ellint_rj_data.ipp"
+#include "ellint_rj_e4.ipp"
+#include "ellint_rj_e3.ipp"
+#include "ellint_rj_e2.ipp"
+#include "ellint_rj_zp.ipp"
+
+   add_data(ellint_rj_data);
+   add_data(ellint_rj_e4);
+   add_data(ellint_rj_e3);
+   add_data(ellint_rj_e2);
+   add_data(ellint_rj_zp);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::ellint_rj(v[0], v[1], v[2], v[3]);  }, [](const std::vector<double>& v){ return v[4];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_ellint_RJ(v[0], v[1], v[2], v[3], GSL_PREC_DOUBLE);  }, [](const std::vector<double>& v){ return v[4];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ellint_rj[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ellint_rj";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rj(v[0], v[1], v[2], v[3]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ellint_rj(v[0], v[1], v[2], v[3], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_ellint_RJ(v[0], v[1], v[2], v[3], GSL_PREC_DOUBLE);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_erf.cpp b/src/boost/libs/math/reporting/performance/test_erf.cpp
new file mode 100644
index 00000000..5c902516
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_erf.cpp
@@ -0,0 +1,89 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/erf.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "erf_small_data.ipp"
+#  include "erf_data.ipp"
+#  include "erf_large_data.ipp"
+
+   add_data(erf_small_data);
+   add_data(erf_data);
+   add_data(erf_large_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::erf(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::erf(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::erf(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_erf(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+   unsigned data_used = data.size();
+   std::string function = "erf[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "erf";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::erf(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::erf(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::erf(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::erf(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_erf(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_erfc.cpp b/src/boost/libs/math/reporting/performance/test_erfc.cpp
new file mode 100644
index 00000000..6c09df1c
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_erfc.cpp
@@ -0,0 +1,91 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/erf.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "erf_small_data.ipp"
+#  include "erf_data.ipp"
+#  include "erf_large_data.ipp"
+
+   add_data(erf_small_data);
+   add_data(erf_data);
+   add_data(erf_large_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::erfc(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::erfc(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::erfc(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_erfc(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "erfc[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "erfc";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::erfc(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::erfc(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::erfc(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::erfc(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_erfc(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_expint.cpp b/src/boost/libs/math/reporting/performance/test_expint.cpp
new file mode 100644
index 00000000..2a2f44af
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_expint.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "expinti_data.ipp"
+#include "expinti_data_double.ipp"
+
+   add_data(expinti_data);
+   add_data(expinti_data_double);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::expint(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::expint(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_expint_Ei(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "expint[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "expint";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expint(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expint(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::expint(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_expint_Ei(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_expint_n.cpp b/src/boost/libs/math/reporting/performance/test_expint_n.cpp
new file mode 100644
index 00000000..413598d2
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_expint_n.cpp
@@ -0,0 +1,76 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "expint_data.ipp"
+#include "expint_small_data.ipp"
+#include "expint_1_data.ipp"
+
+   add_data(expint_data);
+   add_data(expint_small_data);
+   add_data(expint_1_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::expint(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_expint_En(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "expint (En)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "expint (En)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expint(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expint(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_expint_En(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_expm1.cpp b/src/boost/libs/math/reporting/performance/test_expm1.cpp
new file mode 100644
index 00000000..027f020a
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_expm1.cpp
@@ -0,0 +1,78 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "../../test/log1p_expm1_data.ipp"
+
+   add_data(log1p_expm1_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::expm1(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::expm1(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::expm1(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "expm1[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "expm1";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expm1(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::expm1(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::expm1(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::expm1(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_gamma_p.cpp b/src/boost/libs/math/reporting/performance/test_gamma_p.cpp
new file mode 100644
index 00000000..4d11da84
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_gamma_p.cpp
@@ -0,0 +1,86 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "igamma_med_data.ipp"
+#  include "igamma_small_data.ipp"
+#  include "igamma_big_data.ipp"
+#  include "igamma_int_data.ipp"
+
+   add_data(igamma_med_data);
+   add_data(igamma_small_data);
+   add_data(igamma_big_data);
+   add_data(igamma_int_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::gamma_p(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[5];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_gamma_inc_P(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[5];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return pgamma(v[1], v[0], 1.0, 1, 0);  }, [](const std::vector<double>& v){ return v[5];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "gamma_p[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "gamma_p";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_p(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_p(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_gamma_inc_P(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return pgamma(v[1], v[0], 1.0, 1, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_gamma_p_inv.cpp b/src/boost/libs/math/reporting/performance/test_gamma_p_inv.cpp
new file mode 100644
index 00000000..a825957b
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_gamma_p_inv.cpp
@@ -0,0 +1,78 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "gamma_inv_data.ipp"
+#  include "gamma_inv_big_data.ipp"
+#  include "gamma_inv_small_data.ipp"
+
+   add_data(gamma_inv_data);
+   add_data(gamma_inv_big_data);
+   add_data(gamma_inv_small_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::gamma_p_inv(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "screening Rmath data:\n";
+   screen_data([](const std::vector<double>& v){  return qgamma(v[1], v[0], 1.0, 1, 0);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "gamma_p_inv[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "gamma_p_inv";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_p_inv(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_p_inv(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return qgamma(v[1], v[0], 1.0, 1, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_gamma_q.cpp b/src/boost/libs/math/reporting/performance/test_gamma_q.cpp
new file mode 100644
index 00000000..1651dd6d
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_gamma_q.cpp
@@ -0,0 +1,90 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "igamma_med_data.ipp"
+#  include "igamma_small_data.ipp"
+#  include "igamma_big_data.ipp"
+#  include "igamma_int_data.ipp"
+
+   add_data(igamma_med_data);
+   add_data(igamma_small_data);
+   add_data(igamma_big_data);
+   add_data(igamma_int_data);
+
+   unsigned data_total = data.size();
+
+
+   std::cout << "Screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::gamma_q(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v){  return gsl_sf_gamma_inc_Q(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v){  return pgamma(v[1], v[0], 1.0, 0, 0);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "gamma_q[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "gamma_q";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_q(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_q(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_gamma_inc_Q(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return pgamma(v[1], v[0], 1.0, 0, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_gamma_q_inv.cpp b/src/boost/libs/math/reporting/performance/test_gamma_q_inv.cpp
new file mode 100644
index 00000000..923ef5d5
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_gamma_q_inv.cpp
@@ -0,0 +1,78 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "gamma_inv_data.ipp"
+#  include "gamma_inv_big_data.ipp"
+#  include "gamma_inv_small_data.ipp"
+
+   add_data(gamma_inv_data);
+   add_data(gamma_inv_big_data);
+   add_data(gamma_inv_small_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::gamma_q_inv(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "screening Rmath data:\n";
+   screen_data([](const std::vector<double>& v){  return qgamma(v[1], v[0], 1.0, 0, 0);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "gamma_q_inv[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "gamma_q_inv";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_q_inv(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::gamma_q_inv(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return qgamma(v[1], v[0], 1.0, 0, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_gcd.cpp b/src/boost/libs/math/reporting/performance/test_gcd.cpp
new file mode 100644
index 00000000..a29b7bc4
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_gcd.cpp
@@ -0,0 +1,478 @@
+//  Copyright Jeremy Murphy 2016.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/common_factor_rt.hpp>
+#include <boost/math/special_functions/prime.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+#include <boost/multiprecision/integer.hpp>
+#include <boost/random.hpp>
+#include <boost/array.hpp>
+#include <iostream>
+#include <algorithm>
+#include <numeric>
+#include <string>
+#include <tuple>
+#include <type_traits>
+#include <vector>
+#include <functional>
+#include "fibonacci.hpp"
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+
+
+using namespace std;
+
+boost::multiprecision::cpp_int total_sum(0);
+
+template <typename Func, class Table>
+double exec_timed_test_foo(Func f, const Table& data, double min_elapsed = 0.5)
+{
+    double t = 0;
+    unsigned repeats = 1;
+    typename Table::value_type::first_type sum{0};
+    stopwatch<boost::chrono::high_resolution_clock> w;
+    do
+    {
+       for(unsigned count = 0; count < repeats; ++count)
+       {
+          for(typename Table::size_type n = 0; n < data.size(); ++n)
+            sum += f(data[n].first, data[n].second);
+       }
+
+        t = boost::chrono::duration_cast<boost::chrono::duration<double>>(w.elapsed()).count();
+        if(t < min_elapsed)
+            repeats *= 2;
+    }
+    while(t < min_elapsed);
+    total_sum += sum;
+    return t / repeats;
+}
+
+
+template <typename T>
+struct test_function_template
+{
+    vector<pair<T, T> > const & data;
+    const char* data_name;
+    
+    test_function_template(vector<pair<T, T> > const &data, const char* name) : data(data), data_name(name) {}
+    
+    template <typename Function>
+    void operator()(pair<Function, string> const &f) const
+    {
+        auto result = exec_timed_test_foo(f.first, data);
+        auto table_name = string("gcd method comparison with ") + compiler_name() + string(" on ") + platform_name();
+
+        report_execution_time(result, 
+                            table_name,
+                            string(data_name), 
+                            string(f.second) + "\n" + boost_name());
+    }
+};
+
+boost::random::mt19937 rng;
+boost::random::uniform_int_distribution<> d_0_6(0, 6);
+boost::random::uniform_int_distribution<> d_1_20(1, 20);
+
+template <class T>
+T get_prime_products()
+{
+   int n_primes = d_0_6(rng);
+   switch(n_primes)
+   {
+   case 0:
+      // Generate a power of 2:
+      return static_cast<T>(1u) << d_1_20(rng);
+   case 1:
+      // prime number:
+      return boost::math::prime(d_1_20(rng) + 3);
+   }
+   T result = 1;
+   for(int i = 0; i < n_primes; ++i)
+      result *= boost::math::prime(d_1_20(rng) + 3) * boost::math::prime(d_1_20(rng) + 3) * boost::math::prime(d_1_20(rng) + 3) * boost::math::prime(d_1_20(rng) + 3) * boost::math::prime(d_1_20(rng) + 3);
+   return result;
+}
+
+template <class T>
+T get_uniform_random()
+{
+   static boost::random::uniform_int_distribution<T> minmax((std::numeric_limits<T>::min)(), (std::numeric_limits<T>::max)());
+   return minmax(rng);
+}
+
+template <class T>
+inline bool even(T const& val)
+{
+   return !(val & 1u);
+}
+
+template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates>
+inline bool even(boost::multiprecision::number<Backend, ExpressionTemplates> const& val)
+{
+   return !bit_test(val, 0);
+}
+
+template <class T>
+T euclid_textbook(T a, T b)
+{
+   using std::swap;
+   if(a < b)
+      swap(a, b);
+   while(b)
+   {
+      T t = b;
+      b = a % b;
+      a = t;
+   }
+   return a;
+}
+
+template <class T>
+T binary_textbook(T u, T v)
+{
+   if(u && v)
+   {
+      unsigned shifts = (std::min)(boost::multiprecision::lsb(u), boost::multiprecision::lsb(v));
+      if(shifts)
+      {
+         u >>= shifts;
+         v >>= shifts;
+      }
+      while(u)
+      {
+         unsigned bit_index = boost::multiprecision::lsb(u);
+         if(bit_index)
+         {
+            u >>= bit_index;
+         }
+         else if(bit_index = boost::multiprecision::lsb(v))
+         {
+            v >>= bit_index;
+         }
+         else
+         {
+            if(u < v)
+               v = (v - u) >> 1u;
+            else
+               u = (u - v) >> 1u;
+         }
+      }
+      return v << shifts;
+   }
+   return u + v;
+}
+
+template <typename Integer>
+inline BOOST_CXX14_CONSTEXPR Integer gcd_default(Integer a, Integer b) BOOST_GCD_NOEXCEPT(Integer)
+{
+   using boost::math::gcd;
+   return gcd(a, b);
+}
+
+
+template <class T>
+void test_type(const char* name)
+{
+   using namespace boost::math::gcd_detail;
+   typedef T int_type;
+   std::vector<pair<int_type, int_type> > data;
+
+   for(unsigned i = 0; i < 1000; ++i)
+   {
+      data.push_back(std::make_pair(get_prime_products<T>(), get_prime_products<T>()));
+   }
+   std::string row_name("gcd<");
+   row_name += name;
+   row_name += "> (random prime number products)";
+   
+   typedef pair< function<int_type(int_type, int_type)>, string> f_test;
+   array<f_test, 6> test_functions{ { 
+      { gcd_default<int_type>, "gcd" },
+      { Euclid_gcd<int_type>, "Euclid_gcd" },
+      { Stein_gcd<int_type>, "Stein_gcd" } ,
+      { mixed_binary_gcd<int_type>, "mixed_binary_gcd" }, 
+      { binary_textbook<int_type>, "Stein_gcd_textbook" },
+      { euclid_textbook<int_type>, "gcd_euclid_textbook" },
+   } };
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(data, row_name.c_str()));
+
+   data.clear();
+   for(unsigned i = 0; i < 1000; ++i)
+   {
+      data.push_back(std::make_pair(get_uniform_random<T>(), get_uniform_random<T>()));
+   }
+   row_name.erase();
+   row_name += "gcd<";
+   row_name += name;
+   row_name += "> (uniform random numbers)";
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(data, row_name.c_str()));
+
+   // Fibonacci number tests:
+   row_name.erase();
+   row_name += "gcd<";
+   row_name += name;
+   row_name += "> (adjacent Fibonacci numbers)";
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(fibonacci_numbers_permution_1<T>(), row_name.c_str()));
+
+   row_name.erase();
+   row_name += "gcd<";
+   row_name += name;
+   row_name += "> (permutations of Fibonacci numbers)";
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(fibonacci_numbers_permution_2<T>(), row_name.c_str()));
+
+   row_name.erase();
+   row_name += "gcd<";
+   row_name += name;
+   row_name += "> (Trivial cases)";
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(trivial_gcd_test_cases<T>(), row_name.c_str()));
+}
+
+/*******************************************************************************************************************/
+
+template <class T>
+T generate_random(unsigned bits_wanted)
+{
+   static boost::random::mt19937 gen;
+   typedef boost::random::mt19937::result_type random_type;
+
+   T max_val;
+   unsigned digits;
+   if(std::numeric_limits<T>::is_bounded && (bits_wanted == (unsigned)std::numeric_limits<T>::digits))
+   {
+      max_val = (std::numeric_limits<T>::max)();
+      digits = std::numeric_limits<T>::digits;
+   }
+   else
+   {
+      max_val = T(1) << bits_wanted;
+      digits = bits_wanted;
+   }
+
+   unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
+   while((random_type(1) << bits_per_r_val) > (gen.max)()) --bits_per_r_val;
+
+   unsigned terms_needed = digits / bits_per_r_val + 1;
+
+   T val = 0;
+   for(unsigned i = 0; i < terms_needed; ++i)
+   {
+      val *= (gen.max)();
+      val += gen();
+   }
+   val %= max_val;
+   return val;
+}
+
+template <typename N>
+N gcd_stein(N m, N n)
+{
+   BOOST_ASSERT(m >= static_cast<N>(0));
+   BOOST_ASSERT(n >= static_cast<N>(0));
+   if(m == N(0)) return n;
+   if(n == N(0)) return m;
+           // m > 0 && n > 0
+   unsigned d_m = 0;
+   while(even(m)) { m >>= 1; d_m++; }
+   unsigned d_n = 0;
+   while(even(n)) { n >>= 1; d_n++; }
+           // odd(m) && odd(n)
+      while(m != n) {
+      if(n > m) swap(n, m);
+      m -= n;
+      do m >>= 1; while(even(m));
+                  // m == n
+   }
+   return m << (std::min)(d_m, d_n);
+}
+
+
+boost::multiprecision::cpp_int big_gcd(const boost::multiprecision::cpp_int& a, const boost::multiprecision::cpp_int& b)
+{
+   return boost::multiprecision::gcd(a, b);
+}
+
+namespace boost { namespace multiprecision { namespace backends {
+
+template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
+inline typename enable_if_c<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value>::type
+   eval_gcd_new(
+      cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result, 
+      const cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& a, 
+      const cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& b)
+{
+   using default_ops::eval_lsb;
+   using default_ops::eval_is_zero;
+   using default_ops::eval_get_sign;
+
+   if(a.size() == 1)
+   {
+      eval_gcd(result, b, *a.limbs());
+      return;
+   }
+   if(b.size() == 1)
+   {
+      eval_gcd(result, a, *b.limbs());
+      return;
+   }
+
+   int shift;
+
+   cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> u(a), v(b), mod;
+
+   int s = eval_get_sign(u);
+
+   /* GCD(0,x) := x */
+   if(s < 0)
+   {
+      u.negate();
+   }
+   else if(s == 0)
+   {
+      result = v;
+      return;
+   }
+   s = eval_get_sign(v);
+   if(s < 0)
+   {
+      v.negate();
+   }
+   else if(s == 0)
+   {
+      result = u;
+      return;
+   }
+
+   /* Let shift := lg K, where K is the greatest power of 2
+   dividing both u and v. */
+
+   unsigned us = eval_lsb(u);
+   unsigned vs = eval_lsb(v);
+   shift = (std::min)(us, vs);
+   eval_right_shift(u, us);
+   eval_right_shift(v, vs);
+
+   // From now on access u and v via pointers, that way we have a trivial swap:
+   cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>* up(&u), *vp(&v), *mp(&mod);
+
+   do 
+   {
+      /* Now u and v are both odd, so diff(u, v) is even.
+      Let u = min(u, v), v = diff(u, v)/2. */
+      s = up->compare(*vp);
+      if(s > 0)
+         std::swap(up, vp);
+      if(s == 0)
+         break;
+      if(vp->size() <= 2)
+      {
+         if(vp->size() == 1)
+            *up = boost::math::gcd_detail::mixed_binary_gcd(*vp->limbs(), *up->limbs());
+         else
+         {
+            double_limb_type i, j;
+            i = vp->limbs()[0] | (static_cast<double_limb_type>(vp->limbs()[1]) << sizeof(limb_type) * CHAR_BIT);
+            j = (up->size() == 1) ? *up->limbs() : up->limbs()[0] | (static_cast<double_limb_type>(up->limbs()[1]) << sizeof(limb_type) * CHAR_BIT);
+            u = boost::math::gcd_detail::mixed_binary_gcd(i, j);
+         }
+         break;
+      }
+      if(vp->size() > up->size() /*eval_msb(*vp) > eval_msb(*up) + 32*/)
+      {
+         eval_modulus(*mp, *vp, *up);
+         std::swap(vp, mp);
+         eval_subtract(*up, *vp);
+         if(eval_is_zero(*vp) == 0)
+         {
+            vs = eval_lsb(*vp);
+            eval_right_shift(*vp, vs);
+         }
+         else
+            break;
+         if(eval_is_zero(*up) == 0)
+         {
+            vs = eval_lsb(*up);
+            eval_right_shift(*up, vs);
+         }
+         else
+         {
+            std::swap(up, vp);
+            break;
+         }
+      }
+      else
+      {
+         eval_subtract(*vp, *up);
+         vs = eval_lsb(*vp);
+         eval_right_shift(*vp, vs);
+      }
+   } 
+   while(true);
+
+   result = *up;
+   eval_left_shift(result, shift);
+}
+
+}}}
+
+
+boost::multiprecision::cpp_int big_gcd_new(const boost::multiprecision::cpp_int& a, const boost::multiprecision::cpp_int& b)
+{
+   boost::multiprecision::cpp_int result;
+   boost::multiprecision::backends::eval_gcd_new(result.backend(), a.backend(), b.backend());
+   return result;
+}
+
+#if 0
+void test_n_bits(unsigned n, std::string data_name, const std::vector<pair<boost::multiprecision::cpp_int, boost::multiprecision::cpp_int> >* p_data = 0)
+{
+   using namespace boost::math::detail;
+   typedef boost::multiprecision::cpp_int int_type;
+   std::vector<pair<int_type, int_type> > data, data2;
+
+   for(unsigned i = 0; i < 1000; ++i)
+   {
+      data.push_back(std::make_pair(generate_random<int_type>(n), generate_random<int_type>(n)));
+   }
+
+   typedef pair< function<int_type(int_type, int_type)>, string> f_test;
+   array<f_test, 2> test_functions{ { /*{ Stein_gcd<int_type>, "Stein_gcd" } ,{ Euclid_gcd<int_type>, "Euclid_gcd" },{ binary_textbook<int_type>, "Stein_gcd_textbook" },{ euclid_textbook<int_type>, "gcd_euclid_textbook" },{ mixed_binary_gcd<int_type>, "mixed_binary_gcd" },{ gcd_stein<int_type>, "gcd_stein" },*/{ big_gcd, "boost::multiprecision::gcd" },{ big_gcd_new, "big_gcd_new" } } };
+   for_each(begin(test_functions), end(test_functions), test_function_template<int_type>(p_data ? *p_data : data, data_name.c_str(), true));
+}
+#endif
+
+int main()
+{
+    test_type<unsigned short>("unsigned short");
+    test_type<unsigned>("unsigned");
+    test_type<unsigned long>("unsigned long");
+    test_type<unsigned long long>("unsigned long long");
+
+    test_type<boost::multiprecision::uint256_t>("boost::multiprecision::uint256_t");
+    test_type<boost::multiprecision::uint512_t>("boost::multiprecision::uint512_t");
+    test_type<boost::multiprecision::uint1024_t>("boost::multiprecision::uint1024_t");
+
+    /*
+    test_n_bits(16, "   16 bit random values");
+    test_n_bits(32, "   32 bit random values");
+    test_n_bits(64, "   64 bit random values");
+    test_n_bits(125, "  125 bit random values");
+    test_n_bits(250, "  250 bit random values");
+    test_n_bits(500, "  500 bit random values");
+    test_n_bits(1000, " 1000 bit random values");
+    test_n_bits(5000, " 5000 bit random values");
+    test_n_bits(10000, "10000 bit random values");
+    //test_n_bits(100000);
+    //test_n_bits(1000000);
+
+    test_n_bits(0, "consecutive first 1000 fibonacci numbers", &fibonacci_numbers_cpp_int_permution_1());
+    test_n_bits(0, "permutations of first 1000 fibonacci numbers", &fibonacci_numbers_cpp_int_permution_2());
+    */
+    return 0;
+}
diff --git a/src/boost/libs/math/reporting/performance/test_ibeta.cpp b/src/boost/libs/math/reporting/performance/test_ibeta.cpp
new file mode 100644
index 00000000..59a53e4a
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ibeta.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+
+int main()
+{
+#  include "ibeta_small_data.ipp"
+#  include "ibeta_data.ipp"
+#  include "ibeta_large_data.ipp"
+#  include "ibeta_int_data.ipp"
+
+   add_data(ibeta_small_data);
+   add_data(ibeta_data);
+   add_data(ibeta_large_data);
+   add_data(ibeta_int_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ibeta(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[5];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return ::pbeta(v[2], v[0], v[1], 1, 0);  }, [](const std::vector<double>& v){ return v[5];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ibeta[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ibeta";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibeta(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibeta(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::pbeta(v[2], v[0], v[1], 1, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ibeta_inv.cpp b/src/boost/libs/math/reporting/performance/test_ibeta_inv.cpp
new file mode 100644
index 00000000..68488cde
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ibeta_inv.cpp
@@ -0,0 +1,79 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+
+int main()
+{
+#  include "ibeta_inv_data.ipp"
+
+   add_data(ibeta_inv_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ibeta_inv(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return ::qbeta(v[2], v[0], v[1], 1, 0);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ibeta_inv[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ibeta_inv";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibeta_inv(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if defined(COMPILER_COMPARISON_TABLES)
+   report_execution_time(time, std::string("Compiler Option Comparison on ") + platform_name(), "boost::math::ibeta_inv", get_compiler_options_name());
+#else
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+#endif
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibeta_inv(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::qbeta(v[2], v[0], v[1], 1, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ibetac.cpp b/src/boost/libs/math/reporting/performance/test_ibetac.cpp
new file mode 100644
index 00000000..33eadbeb
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ibetac.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+
+int main()
+{
+#  include "ibeta_small_data.ipp"
+#  include "ibeta_data.ipp"
+#  include "ibeta_large_data.ipp"
+#  include "ibeta_int_data.ipp"
+
+   add_data(ibeta_small_data);
+   add_data(ibeta_data);
+   add_data(ibeta_large_data);
+   add_data(ibeta_int_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ibetac(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[6];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return ::pbeta(v[2], v[0], v[1], 0, 0);  }, [](const std::vector<double>& v){ return v[6];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ibetac[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ibetac";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibetac(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibetac(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::pbeta(v[2], v[0], v[1], 0, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ibetac_inv.cpp b/src/boost/libs/math/reporting/performance/test_ibetac_inv.cpp
new file mode 100644
index 00000000..5889acaf
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ibetac_inv.cpp
@@ -0,0 +1,75 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+
+int main()
+{
+#  include "ibeta_inv_data.ipp"
+
+   add_data(ibeta_inv_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::ibetac_inv(v[0], v[1], v[2]);  }, [](const std::vector<double>& v){ return v[4];  });
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+      screen_data([](const std::vector<double>& v){  return ::qbeta(v[2], v[0], v[1], 0, 0);  }, [](const std::vector<double>& v){ return v[4];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "ibetac_inv[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "ibetac_inv";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibetac_inv(v[0], v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::ibetac_inv(v[0], v[1], v[2], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::qbeta(v[2], v[0], v[1], 0, 0);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_igamma.cpp b/src/boost/libs/math/reporting/performance/test_igamma.cpp
new file mode 100644
index 00000000..48c31d3e
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_igamma.cpp
@@ -0,0 +1,78 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "igamma_med_data.ipp"
+#  include "igamma_small_data.ipp"
+#  include "igamma_big_data.ipp"
+#  include "igamma_int_data.ipp"
+
+   add_data(igamma_med_data);
+   add_data(igamma_small_data);
+   add_data(igamma_big_data);
+   add_data(igamma_int_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::tgamma(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_gamma_inc(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "tgamma (incomplete)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "tgamma (incomplete)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::tgamma(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::tgamma(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_gamma_inc(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_in.cpp b/src/boost/libs/math/reporting/performance/test_in.cpp
new file mode 100644
index 00000000..6a56bf71
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_in.cpp
@@ -0,0 +1,127 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 10> i0_data = { {
+   { { SC_(0.0), SC_(0.0), SC_(1.0) } },
+   { { SC_(0.0), SC_(1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) } },
+   { { SC_(0.0), SC_(-2.0), SC_(2.27958530233606726743720444081153335328584110278545905407084) } },
+   { { SC_(0.0), SC_(4.0), SC_(11.3019219521363304963562701832171024974126165944353377060065) } },
+   { { SC_(0.0), SC_(-7.0), SC_(168.593908510289698857326627187500840376522679234531714193194) } },
+   { { SC_(0.0), T(1) / 1024, SC_(1.00000023841859331241759166109699567801556273303717896447683) } },
+   { { SC_(0.0), T(SC_(1.0)) / (1024 * 1024), SC_(1.00000000000022737367544324498417583090700894607432256476338) } },
+   { { SC_(0.0), SC_(-1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) } },
+   { { SC_(0.0), SC_(100.0), SC_(1.07375170713107382351972085760349466128840319332527279540154e42) } },
+   { { SC_(0.0), SC_(200.0), SC_(2.03968717340972461954167312677945962233267573614834337894328e85) } },
+   } };
+static const boost::array<boost::array<T, 3>, 10> i1_data = { {
+   { { SC_(1.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(1.0), SC_(1.0), SC_(0.565159103992485027207696027609863307328899621621092009480294) } },
+   { { SC_(1.0), SC_(-2.0), SC_(-1.59063685463732906338225442499966624795447815949553664713229) } },
+   { { SC_(1.0), SC_(4.0), SC_(9.75946515370444990947519256731268090005597033325296730692753) } },
+   { { SC_(1.0), SC_(-8.0), SC_(-399.873136782560098219083086145822754889628443904067647306574) } },
+   { { SC_(1.0), T(SC_(1.0)) / 1024, SC_(0.000488281308207663226432087816784315537514225208473395063575150) } },
+   { { SC_(1.0), T(SC_(1.0)) / (1024 * 1024), SC_(4.76837158203179210108624277276025646653133998635956784292029E-7) } },
+   { { SC_(1.0), SC_(-10.0), SC_(-2670.98830370125465434103196677215254914574515378753771310849) } },
+   { { SC_(1.0), SC_(100.0), SC_(1.06836939033816248120614576322429526544612284405623226965918e42) } },
+   { { SC_(1.0), SC_(200.0), SC_(2.03458154933206270342742797713906950389661161681122964159220e85) } },
+   } };
+static const boost::array<boost::array<T, 3>, 11> in_data = { {
+   { { SC_(-2.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(2.0), T(SC_(1.0)) / (1024 * 1024), SC_(1.13686837721624646204093977095674566928522671779753217215467e-13) } },
+   { { SC_(5.0), SC_(10.0), SC_(777.188286403259959907293484802339632852674154572666041953297) } },
+   { { SC_(-5.0), SC_(100.0), SC_(9.47009387303558124618275555002161742321578485033007130107740e41) } },
+   { { SC_(-5.0), SC_(-1.0), SC_(-0.000271463155956971875181073905153777342383564426758143634974124) } },
+   { { SC_(10.0), SC_(20.0), SC_(3.54020020901952109905289138244985607057267103782948493874391e6) } },
+   { { SC_(10.0), SC_(-5.0), SC_(0.00458004441917605126118647027872016953192323139337073320016447) } },
+   { { SC_(1e+02), SC_(9.0), SC_(2.74306601746058997093587654668959071522869282506446891736820e-93) } },
+   { { SC_(1e+02), SC_(80.0), SC_(4.65194832850610205318128191404145885093970505338730540776711e8) } },
+   { { SC_(-100.0), SC_(-200.0), SC_(4.35275044972702191438729017441198257508190719030765213981307e74) } },
+   { { SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) } },
+   } };
+
+int main()
+{
+#include "bessel_i_int_data.ipp"
+
+   add_data(i0_data);
+   add_data(i1_data);
+   add_data(in_data);
+   add_data(bessel_i_int_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_i(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_In(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return bessel_i(v[1], static_cast<int>(v[0]), 1);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_i (integer order)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_i (integer order)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_i(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_In(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_i(v[1], static_cast<int>(v[0]), 1);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_iv.cpp b/src/boost/libs/math/reporting/performance/test_iv.cpp
new file mode 100644
index 00000000..585c36bb
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_iv.cpp
@@ -0,0 +1,113 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 10> iv_data = { {
+   { { SC_(2.25), T(1) / (1024 * 1024), SC_(2.34379212133481347189068464680335815256364262507955635911656e-15) } },
+   { { SC_(5.5), SC_(3.125), SC_(0.0583514045989371500460946536220735787163510569634133670181210) } },
+   { { T(-5) + T(1) / 1024, SC_(2.125), SC_(0.0267920938009571023702933210070984416052633027166975342895062) } },
+   { { SC_(-5.5), SC_(10.0), SC_(597.577606961369169607937419869926705730305175364662688426534) } },
+   { { SC_(-5.5), SC_(100.0), SC_(9.22362906144706871737354069133813819358704200689067071415379e41) } },
+   { { T(-10486074) / (1024 * 1024), T(1) / 1024, SC_(1.41474005665181350367684623930576333542989766867888186478185e35) } },
+   { { T(-10486074) / (1024 * 1024), SC_(50.0), SC_(1.07153277202900671531087024688681954238311679648319534644743e20) } },
+   { { T(144794) / 1024, SC_(100.0), SC_(2066.27694757392660413922181531984160871678224178890247540320) } },
+   { { T(144794) / 1024, SC_(200.0), SC_(2.23699739472246928794922868978337381373643889659337595319774e64) } },
+   { { T(-144794) / 1024, SC_(100.0), SC_(2066.27694672763190927440969155740243346136463461655104698748) } },
+   } };
+static const boost::array<boost::array<T, 3>, 5> iv_large_data = { {
+      // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+   { { SC_(-1.0), static_cast<T>(ldexp(0.5, -512)), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) } },
+   { { SC_(1.0), static_cast<T>(ldexp(0.5, -512)), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) } },
+   { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(-1.34963720853101363690381585556234820027343435206156667634081e173) } },
+   { { SC_(1.125), static_cast<T>(ldexp(0.5, -512)), SC_(8.02269390325932403421158766283366891170783955777638875887348e-175) } },
+   { { SC_(0.5), static_cast<T>(ldexp(0.5, -683)), SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) } },
+   } };
+
+int main()
+{
+#include "bessel_i_data.ipp"
+
+   add_data(iv_data);
+   add_data(iv_large_data);
+   add_data(bessel_i_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_i(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Inu(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v){  return bessel_i(v[1], v[0], 1);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_i[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_i";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_i(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_i(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Inu(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_i(v[1], v[0], 1);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_jn.cpp b/src/boost/libs/math/reporting/performance/test_jn.cpp
new file mode 100644
index 00000000..48dee7a1
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_jn.cpp
@@ -0,0 +1,168 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j0_data = { {
+   { { SC_(0.0), SC_(0.0), SC_(1.0) } },
+   { { SC_(0.0), SC_(1.0), SC_(0.7651976865579665514497175261026632209093) } },
+   { { SC_(0.0), SC_(-2.0), SC_(0.2238907791412356680518274546499486258252) } },
+   { { SC_(0.0), SC_(4.0), SC_(-0.3971498098638473722865907684516980419756) } },
+   { { SC_(0.0), SC_(-8.0), SC_(0.1716508071375539060908694078519720010684) } },
+   { { SC_(0.0), SC_(1e-05), SC_(0.999999999975000000000156249999999565972) } },
+   { { SC_(0.0), SC_(1e-10), SC_(0.999999999999999999997500000000000000000) } },
+   { { SC_(0.0), SC_(-1e+01), SC_(-0.2459357644513483351977608624853287538296) } },
+   } };
+static const boost::array<boost::array<T, 3>, 6> j0_tricky = { {
+      // Big numbers make the accuracy of std::sin the limiting factor:
+   { { SC_(0.0), SC_(1e+03), SC_(0.02478668615242017456133073111569370878617) } },
+   { { SC_(0.0), SC_(1e+05), SC_(-0.001719201116235972192570601477073201747532) } },
+   // test at the roots:
+   { { SC_(0.0), T(2521642.0) / (1024 * 1024), SC_(1.80208819970046790002973759410972422387259992955354630042138e-7) } },
+   { { SC_(0.0), T(5788221.0) / (1024 * 1024), SC_(-1.37774249380686777043369399806210229535671843632174587432454e-7) } },
+   { { SC_(0.0), T(9074091.0) / (1024 * 1024), SC_(1.03553057441100845081018471279571355857520645127532785991335e-7) } },
+   { { SC_(0.0), T(12364320.0) / (1024 * 1024), SC_(-3.53017140778223781420794006033810387155048392363051866610931e-9) } }
+   } };
+
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j1_data = { {
+   { { SC_(1.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(1.0), SC_(1.0), SC_(0.4400505857449335159596822037189149131274) } },
+   { { SC_(1.0), SC_(-2.0), SC_(-0.5767248077568733872024482422691370869203) } },
+   { { SC_(1.0), SC_(4.0), SC_(-6.604332802354913614318542080327502872742e-02) } },
+   { { SC_(1.0), SC_(-8.0), SC_(-0.2346363468539146243812766515904546115488) } },
+   { { SC_(1.0), SC_(1e-05), SC_(4.999999999937500000000260416666666124132e-06) } },
+   { { SC_(1.0), SC_(1e-10), SC_(4.999999999999999999993750000000000000000e-11) } },
+   { { SC_(1.0), SC_(-1e+01), SC_(-4.347274616886143666974876802585928830627e-02) } },
+   } };
+static const boost::array<boost::array<T, 3>, 5> j1_tricky = { {
+      // Big numbers make the accuracy of std::sin the limiting factor:
+   { { SC_(1.0), SC_(1e+03), SC_(4.728311907089523917576071901216916285418e-03) } },
+   { { SC_(1.0), SC_(1e+05), SC_(1.846757562882567716362123967114215743694e-03) } },
+   // test zeros:
+   { { SC_(1.0), T(4017834) / (1024 * 1024), SC_(3.53149033321258645807835062770856949751958513973522222203044e-7) } },
+   { { SC_(1.0), T(7356375) / (1024 * 1024), SC_(-2.31227973111067286051984021150135526024117175836722748404342e-7) } },
+   { { SC_(1.0), T(10667654) / (1024 * 1024), SC_(1.24591331097191900488116495350277530373473085499043086981229e-7) } },
+   } };
+
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> jn_data = { {
+      // This first one is a modified test case from https://svn.boost.org/trac/boost/ticket/2733
+   { { SC_(-1.0), SC_(1.25), SC_(-0.510623260319880467069474837274910375352924050139633057168856) } },
+   { { SC_(2.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(-2.0), SC_(0.0), SC_(0.0) } },
+   { { SC_(2.0), SC_(1e-02), SC_(1.249989583365885362413250958437642113452e-05) } },
+   { { SC_(5.0), SC_(10.0), SC_(-0.2340615281867936404436949416457777864635) } },
+   { { SC_(5.0), SC_(-10.0), SC_(0.2340615281867936404436949416457777864635) } },
+   { { SC_(-5.0), SC_(1e+06), SC_(7.259643842453285052375779970433848914846e-04) } },
+   { { SC_(5.0), SC_(1e+06), SC_(-0.000725964384245328505237577997043384891484649290328285235308619) } },
+   { { SC_(-5.0), SC_(-1.0), SC_(2.497577302112344313750655409880451981584e-04) } },
+   { { SC_(10.0), SC_(10.0), SC_(0.2074861066333588576972787235187534280327) } },
+   { { SC_(10.0), SC_(-10.0), SC_(0.2074861066333588576972787235187534280327) } },
+   { { SC_(10.0), SC_(-5.0), SC_(1.467802647310474131107532232606627020895e-03) } },
+   { { SC_(-10.0), SC_(1e+06), SC_(-3.310793117604488741264958559035744460210e-04) } },
+   { { SC_(10.0), SC_(1e+06), SC_(-0.000331079311760448874126495855903574446020957243277028930713243) } },
+   { { SC_(1e+02), SC_(8e+01), SC_(4.606553064823477354141298259169874909670e-06) } },
+   { { SC_(1e+03), SC_(1e+05), SC_(1.283178112502480365195139312635384057363e-03) } },
+   { { SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) } },
+   } };
+
+
+int main()
+{
+#include "bessel_j_int_data.ipp"
+
+   add_data(j0_data);
+   add_data(j0_tricky);
+   add_data(j1_data);
+   add_data(j1_tricky);
+   add_data(jn_data);
+   add_data(bessel_j_int_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::jn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_j(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Jn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return bessel_j(v[1], static_cast<int>(v[0]));  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_j (integer order)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_j (integer order)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if defined(COMPILER_COMPARISON_TABLES)
+   report_execution_time(time, std::string("Compiler Option Comparison on ") + platform_name(), "boost::math::cyl_bessel_j (integer orders)", get_compiler_options_name());
+#else
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+#endif
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::jn(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_j(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Jn(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_j(v[1], static_cast<int>(v[0]));  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_js.cpp b/src/boost/libs/math/reporting/performance/test_js.cpp
new file mode 100644
index 00000000..72438b24
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_js.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "sph_bessel_data.ipp"
+
+   add_data(sph_bessel_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::sph_bessel(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::sph_bessel(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_jl(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "sph_bessel[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "sph_bessel";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::sph_bessel(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::sph_bessel(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::sph_bessel(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_jl(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_jv.cpp b/src/boost/libs/math/reporting/performance/test_jv.cpp
new file mode 100644
index 00000000..ed6d7abc
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_jv.cpp
@@ -0,0 +1,119 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 21> jv_data = { {
+      //SC_(-2.4), {{ SC_(0.0), std::numeric_limits<T>::infinity() }},
+   { { T(22.5), T(0.0), SC_(0.0) } },
+   { { T(2457.0) / 1024, T(1.0) / 1024, SC_(3.80739920118603335646474073457326714709615200130620574875292e-9) } },
+   { { SC_(5.5), T(3217) / 1024, SC_(0.0281933076257506091621579544064767140470089107926550720453038) } },
+   { { SC_(-5.5), T(3217) / 1024, SC_(-2.55820064470647911823175836997490971806135336759164272675969) } },
+   { { SC_(-5.5), SC_(1e+04), SC_(2.449843111985605522111159013846599118397e-03) } },
+   { { SC_(5.5), SC_(1e+04), SC_(0.00759343502722670361395585198154817047185480147294665270646578) } },
+   { { SC_(5.5), SC_(1e+06), SC_(-0.000747424248595630177396350688505919533097973148718960064663632) } },
+   { { SC_(5.125), SC_(1e+06), SC_(-0.000776600124835704280633640911329691642748783663198207360238214) } },
+   { { SC_(5.875), SC_(1e+06), SC_(-0.000466322721115193071631008581529503095819705088484386434589780) } },
+   { { SC_(0.5), SC_(101.0), SC_(0.0358874487875643822020496677692429287863419555699447066226409) } },
+   { { SC_(-5.5), SC_(1e+04), SC_(0.00244984311198560552211115901384659911839737686676766460822577) } },
+   { { SC_(-5.5), SC_(1e+06), SC_(0.000279243200433579511095229508894156656558211060453622750659554) } },
+   { { SC_(-0.5), SC_(101.0), SC_(0.0708184798097594268482290389188138201440114881159344944791454) } },
+   { { T(-10486074) / (1024 * 1024), T(1) / 1024, SC_(1.41474013160494695750009004222225969090304185981836460288562e35) } },
+   { { T(-10486074) / (1024 * 1024), SC_(15.0), SC_(-0.0902239288885423309568944543848111461724911781719692852541489) } },
+   { { T(10486074) / (1024 * 1024), SC_(1e+02), SC_(-0.0547064914615137807616774867984047583596945624129838091326863) } },
+   { { T(10486074) / (1024 * 1024), SC_(2e+04), SC_(-0.00556783614400875611650958980796060611309029233226596737701688) } },
+   { { T(-10486074) / (1024 * 1024), SC_(1e+02), SC_(-0.0547613660316806551338637153942604550779513947674222863858713) } },
+   // Bug report https://svn.boost.org/trac/boost/ticket/4812:
+   { { SC_(1.5), T(8034) / 1024, SC_(0.0339477646369710610146236955872928005087352629422508823945264) } },
+   { { SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(0.0436807946352780974532519564114026730332781693877984686758680) } },
+   { { SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.257086543428224355151772807588810984369026142375675714560864) } },
+   } };
+
+int main()
+{
+#include "bessel_j_data.ipp"
+#include "bessel_j_large_data.ipp"
+
+   add_data(jv_data);
+   add_data(bessel_j_data);
+   add_data(bessel_j_large_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_j(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Jnu(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return bessel_j(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_j[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_j";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_j(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_j(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Jnu(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_j(v[1], v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_kn.cpp b/src/boost/libs/math/reporting/performance/test_kn.cpp
new file mode 100644
index 00000000..e5553cf5
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_kn.cpp
@@ -0,0 +1,123 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 9> k0_data = { {
+   { { SC_(0.0), SC_(1.0), SC_(0.421024438240708333335627379212609036136219748226660472298970) } },
+   { { SC_(0.0), SC_(2.0), SC_(0.113893872749533435652719574932481832998326624388808882892530) } },
+   { { SC_(0.0), SC_(4.0), SC_(0.0111596760858530242697451959798334892250090238884743405382553) } },
+   { { SC_(0.0), SC_(8.0), SC_(0.000146470705222815387096584408698677921967305368833759024089154) } },
+   { { SC_(0.0), T(std::ldexp(1.0, -15)), SC_(10.5131392267382037062459525561594822400447325776672021972753) } },
+   { { SC_(0.0), T(std::ldexp(1.0, -30)), SC_(20.9103469324567717360787328239372191382743831365906131108531) } },
+   { { SC_(0.0), T(std::ldexp(1.0, -60)), SC_(41.7047623492551310138446473188663682295952219631968830346918) } },
+   { { SC_(0.0), SC_(50.0), SC_(3.41016774978949551392067551235295223184502537762334808993276e-23) } },
+   { { SC_(0.0), SC_(100.0), SC_(4.65662822917590201893900528948388635580753948544211387402671e-45) } },
+   } };
+static const boost::array<boost::array<T, 3>, 9> k1_data = { {
+   { { SC_(1.0), SC_(1.0), SC_(0.601907230197234574737540001535617339261586889968106456017768) } },
+   { { SC_(1.0), SC_(2.0), SC_(0.139865881816522427284598807035411023887234584841515530384442) } },
+   { { SC_(1.0), SC_(4.0), SC_(0.0124834988872684314703841799808060684838415849886258457917076) } },
+   { { SC_(1.0), SC_(8.0), SC_(0.000155369211805001133916862450622474621117065122872616157079566) } },
+   { { SC_(1.0), T(std::ldexp(1.0, -15)), SC_(32767.9998319528316432647441316539139725104728341577594326513) } },
+   { { SC_(1.0), T(std::ldexp(1.0, -30)), SC_(1.07374182399999999003003028572687332810353799544215073362305e9) } },
+   { { SC_(1.0), T(std::ldexp(1.0, -60)), SC_(1.15292150460684697599999999999999998169660198868126604634036e18) } },
+   { { SC_(1.0), SC_(50.0), SC_(3.44410222671755561259185303591267155099677251348256880221927e-23) } },
+   { { SC_(1.0), SC_(100.0), SC_(4.67985373563690928656254424202433530797494354694335352937465e-45) } },
+   } };
+static const boost::array<boost::array<T, 3>, 9> kn_data = { {
+   { { SC_(2.0), T(std::ldexp(1.0, -30)), SC_(2.30584300921369395150000000000000000234841952009593636868109e18) } },
+   { { SC_(5.0), SC_(10.0), SC_(0.0000575418499853122792763740236992723196597629124356739596921536) } },
+   { { SC_(-5.0), SC_(100.0), SC_(5.27325611329294989461777188449044716451716555009882448801072e-45) } },
+   { { SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) } },
+   { { SC_(10.0), T(std::ldexp(1.0, -30)), SC_(3.78470202927236255215249281534478864916684072926050665209083e98) } },
+   { { SC_(-10.0), SC_(1.0), SC_(1.80713289901029454691597861302340015908245782948536080022119e8) } },
+   { { SC_(100.0), SC_(5.0), SC_(7.03986019306167654653386616796116726248616158936088056952477e115) } },
+   { { SC_(100.0), SC_(80.0), SC_(8.39287107246490782848985384895907681748152272748337807033319e-12) } },
+   { { SC_(-1000.0), SC_(700.0), SC_(6.51561979144735818903553852606383312984409361984128221539405e-31) } },
+   } };
+
+int main()
+{
+#include "bessel_k_int_data.ipp"
+
+   add_data(k0_data);
+   add_data(k1_data);
+   add_data(kn_data);
+   add_data(bessel_k_int_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Kn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return bessel_k(v[1], static_cast<int>(v[0]), 1);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_k (integer order)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_k (integer order)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Kn(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_k(v[1], static_cast<int>(v[0]), 1);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_kv.cpp b/src/boost/libs/math/reporting/performance/test_kv.cpp
new file mode 100644
index 00000000..8bf69127
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_kv.cpp
@@ -0,0 +1,114 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 11> kv_data = { {
+   { { SC_(0.5), SC_(0.875), SC_(0.558532231646608646115729767013630967055657943463362504577189) } },
+   { { SC_(0.5), SC_(1.125), SC_(0.383621010650189547146769320487006220295290256657827220786527) } },
+   { { SC_(2.25), T(std::ldexp(1.0, -30)), SC_(5.62397392719283271332307799146649700147907612095185712015604e20) } },
+   { { SC_(5.5), T(3217) / 1024, SC_(1.30623288775012596319554857587765179889689223531159532808379) } },
+   { { SC_(-5.5), SC_(10.0), SC_(0.0000733045300798502164644836879577484533096239574909573072142667) } },
+   { { SC_(-5.5), SC_(100.0), SC_(5.41274555306792267322084448693957747924412508020839543293369e-45) } },
+   { { T(10240) / 1024, T(1) / 1024, SC_(2.35522579263922076203415803966825431039900000000993410734978e38) } },
+   { { T(10240) / 1024, SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) } },
+   { { T(144793) / 1024, SC_(100.0), SC_(1.39565245860302528069481472855619216759142225046370312329416e-6) } },
+   { { T(144793) / 1024, SC_(200.0), SC_(9.11950412043225432171915100042647230802198254567007382956336e-68) } },
+   { { T(-144793) / 1024, SC_(50.0), SC_(1.30185229717525025165362673848737761549946548375142378172956e42) } },
+   } };
+static const boost::array<boost::array<T, 3>, 5> kv_large_data = { {
+      // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+   { { SC_(-1.0), static_cast<T>(ldexp(0.5, -512)), SC_(2.68156158598851941991480499964116922549587316411847867554471e154) } },
+   { { SC_(1.0), static_cast<T>(ldexp(0.5, -512)), SC_(2.68156158598851941991480499964116922549587316411847867554471e154) } },
+   { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(5.53984048006472105611199242328122729730752165907526178753978e173) } },
+   { { SC_(1.125), static_cast<T>(ldexp(0.5, -512)), SC_(5.53984048006472105611199242328122729730752165907526178753978e173) } },
+   { { SC_(0.5), static_cast<T>(ldexp(0.5, -683)), SC_(1.12284149973980088540335945247019177715948513804063794284101e103) } },
+   } };
+
+int main()
+{
+#include "bessel_k_data.ipp"
+
+   add_data(kv_data);
+   add_data(kv_large_data);
+   add_data(bessel_k_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Knu(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return bessel_k(v[1], v[0], 1);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_bessel_k[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_bessel_k";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Knu(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_k(v[1], v[0], 1);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_laguerre.cpp b/src/boost/libs/math/reporting/performance/test_laguerre.cpp
new file mode 100644
index 00000000..1174e64a
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_laguerre.cpp
@@ -0,0 +1,81 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "laguerre2.ipp"
+
+   add_data(laguerre2);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::laguerre(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_laguerre_n(v[0], 0, v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "laguerre[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "laguerre";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::laguerre(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::laguerre(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_laguerre_n(v[0], 0, v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_legendre.cpp b/src/boost/libs/math/reporting/performance/test_legendre.cpp
new file mode 100644
index 00000000..27c5e4a0
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_legendre.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "legendre_p.ipp"
+#  include "legendre_p_large.ipp"
+
+   add_data(legendre_p);
+   add_data(legendre_p_large);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::legendre(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_legendre_Pl(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "legendre[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "legendre";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_p(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::legendre(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_legendre_Pl(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_legendre_q.cpp b/src/boost/libs/math/reporting/performance/test_legendre_q.cpp
new file mode 100644
index 00000000..639ead4d
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_legendre_q.cpp
@@ -0,0 +1,74 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#  include "legendre_p.ipp"
+#  include "legendre_p_large.ipp"
+
+   add_data(legendre_p);
+   add_data(legendre_p_large);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::legendre_q(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_legendre_Ql(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[3];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "legendre Q[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "legendre Q";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_q(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::legendre_q(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_legendre_Ql(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_lgamma.cpp b/src/boost/libs/math/reporting/performance/test_lgamma.cpp
new file mode 100644
index 00000000..1b0c7767
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_lgamma.cpp
@@ -0,0 +1,98 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "test_gamma_data.ipp"
+
+   add_data(factorials);
+   add_data(near_0);
+   add_data(near_1);
+   add_data(near_2);
+   add_data(near_m10);
+   add_data(near_m55);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::lgamma(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::lgamma(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::lgamma(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_lngamma(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return lgammafn(v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "lgamma[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "lgamma";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::lgamma(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::lgamma(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::lgamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::lgamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_lngamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return lgammafn(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_log1p.cpp b/src/boost/libs/math/reporting/performance/test_log1p.cpp
new file mode 100644
index 00000000..bdc11f55
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_log1p.cpp
@@ -0,0 +1,77 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "../../test/log1p_expm1_data.ipp"
+
+   add_data(log1p_expm1_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::log1p(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::log1p(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#ifdef TEST_LIBSTDCXX && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::log1p(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "log1p[br](" + boost::lexical_cast<std::string>(data_used)+"/" + boost::lexical_cast<std::string>(data_total)+" tests selected)";
+   std::string function_short = "log1p";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::log1p(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::log1p(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::log1p(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::log1p(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_poly_method.cpp b/src/boost/libs/math/reporting/performance/test_poly_method.cpp
new file mode 100644
index 00000000..9f21d935
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_poly_method.cpp
@@ -0,0 +1,371 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_1
+#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
+#include <boost/math/tools/detail/polynomial_horner1_20.hpp>
+#undef evaluate_polynomial_c_imp
+#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
+#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_2
+#include <boost/math/tools/detail/polynomial_horner2_20.hpp>
+#undef evaluate_polynomial_c_imp
+#undef BOOST_MATH_TOOLS_POLY_EVAL_20_HPP
+#define evaluate_polynomial_c_imp evaluate_polynomial_c_imp_3
+#include <boost/math/tools/detail/polynomial_horner3_20.hpp>
+#undef evaluate_polynomial_c_imp
+
+#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
+#define evaluate_rational_c_imp evaluate_rational_c_imp_1
+#include <boost/math/tools/detail/rational_horner1_20.hpp>
+#undef evaluate_rational_c_imp
+#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
+#define evaluate_rational_c_imp evaluate_rational_c_imp_2
+#include <boost/math/tools/detail/rational_horner2_20.hpp>
+#undef evaluate_rational_c_imp
+#undef BOOST_MATH_TOOLS_RAT_EVAL_20_HPP
+#define evaluate_rational_c_imp evaluate_rational_c_imp_3
+#include <boost/math/tools/detail/rational_horner3_20.hpp>
+#undef evaluate_rational_c_imp
+#undef BOOST_MATH_TOOLS_POLY_RAT_20_HPP
+
+static const double num[21] = {
+   static_cast<double>(56906521.91347156388090791033559122686859L),
+   static_cast<double>(103794043.1163445451906271053616070238554L),
+   static_cast<double>(86363131.28813859145546927288977868422342L),
+   static_cast<double>(43338889.32467613834773723740590533316085L),
+   static_cast<double>(14605578.08768506808414169982791359218571L),
+   static_cast<double>(3481712.15498064590882071018964774556468L),
+   static_cast<double>(601859.6171681098786670226533699352302507L),
+   static_cast<double>(75999.29304014542649875303443598909137092L),
+   static_cast<double>(6955.999602515376140356310115515198987526L),
+   static_cast<double>(449.9445569063168119446858607650988409623L),
+   static_cast<double>(19.51992788247617482847860966235652136208L),
+   static_cast<double>(0.5098416655656676188125178644804694509993L),
+   static_cast<double>(0.006061842346248906525783753964555936883222L),
+   0.0
+};
+static const double denom[20] = {
+   static_cast<double>(0u),
+   static_cast<double>(39916800u),
+   static_cast<double>(120543840u),
+   static_cast<double>(150917976u),
+   static_cast<double>(105258076u),
+   static_cast<double>(45995730u),
+   static_cast<double>(13339535u),
+   static_cast<double>(2637558u),
+   static_cast<double>(357423u),
+   static_cast<double>(32670u),
+   static_cast<double>(1925u),
+   static_cast<double>(66u),
+   static_cast<double>(1u),
+   0.0
+};
+static const boost::uint32_t denom_int[20] = {
+   static_cast<boost::uint32_t>(0u),
+   static_cast<boost::uint32_t>(39916800u),
+   static_cast<boost::uint32_t>(120543840u),
+   static_cast<boost::uint32_t>(150917976u),
+   static_cast<boost::uint32_t>(105258076u),
+   static_cast<boost::uint32_t>(45995730u),
+   static_cast<boost::uint32_t>(13339535u),
+   static_cast<boost::uint32_t>(2637558u),
+   static_cast<boost::uint32_t>(357423u),
+   static_cast<boost::uint32_t>(32670u),
+   static_cast<boost::uint32_t>(1925u),
+   static_cast<boost::uint32_t>(66u),
+   static_cast<boost::uint32_t>(1u),
+   0
+};
+
+std::string make_order_string(int n)
+{
+   std::string result = boost::lexical_cast<std::string>(n);
+   if (result.size() < 2)
+      result.insert(result.begin(), ' ');
+   return result;
+}
+
+void test_poly_1(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_poly_1(const boost::mpl::int_<N>&)
+{
+   test_poly_1(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v) 
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_polynomial_c_imp_1(denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_polynomial_c_imp_1(denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Integer Coefficients)");
+}
+
+
+void test_poly_2(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_poly_2(const boost::mpl::int_<N>&)
+{
+   test_poly_2(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v) 
+   {  
+      double result = 0; 
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_polynomial_c_imp_2(denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v) 
+   {  
+      double result = 0; 
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_polynomial_c_imp_2(denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0)); 
+      return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Integer Coefficients)");
+}
+
+void test_poly_3(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_poly_3(const boost::mpl::int_<N>&)
+{
+   test_poly_3(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v) {  double result = 0;
+   for (unsigned i = 0; i < 10; ++i)
+      result += boost::math::tools::detail::evaluate_polynomial_c_imp_3(denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0)); 
+   return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v) {  double result = 0;
+   for (unsigned i = 0; i < 10; ++i)
+      result += boost::math::tools::detail::evaluate_polynomial_c_imp_3(denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0)); 
+   return result;
+   });
+   report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Integer Coefficients)");
+}
+
+template <class T, class U>
+U evaluate_polynomial_0(const T* poly, U const& z, std::size_t count)
+{
+   U sum = static_cast<U>(poly[count - 1]);
+   for (int i = static_cast<int>(count) - 2; i >= 0; --i)
+   {
+      sum *= z;
+      sum += static_cast<U>(poly[i]);
+   }
+   return sum;
+}
+
+void test_rat_1(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_rat_1(const boost::mpl::int_<N>&)
+{
+   test_rat_1(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_1(num, denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_1(num, denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 1[br](Integer Coefficients)");
+}
+
+void test_rat_2(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_rat_2(const boost::mpl::int_<N>&)
+{
+   test_rat_2(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_2(num, denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_2(num, denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 2[br](Integer Coefficients)");
+}
+
+void test_rat_3(const boost::mpl::int_<1>&)
+{
+}
+
+template <int N>
+void test_rat_3(const boost::mpl::int_<N>&)
+{
+   test_rat_3(boost::mpl::int_<N - 1>());
+
+   double time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_3(num, denom, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Double Coefficients)");
+
+   time = exec_timed_test([](const std::vector<double>& v)
+   {
+      double result = 0;
+      for (unsigned i = 0; i < 10; ++i)
+         result += boost::math::tools::detail::evaluate_rational_c_imp_3(num, denom_int, v[0] + i, static_cast<boost::mpl::int_<N>*>(0));
+      return result;
+   });
+   report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(N), "Method 3[br](Integer Coefficients)");
+}
+
+template <class T, class U, class V>
+V evaluate_rational_0(const T* num, const U* denom, const V& z_, std::size_t count)
+{
+   V z(z_);
+   V s1, s2;
+   if (z <= 1)
+   {
+      s1 = static_cast<V>(num[count - 1]);
+      s2 = static_cast<V>(denom[count - 1]);
+      for (int i = (int)count - 2; i >= 0; --i)
+      {
+         s1 *= z;
+         s2 *= z;
+         s1 += num[i];
+         s2 += denom[i];
+      }
+   }
+   else
+   {
+      z = 1 / z;
+      s1 = static_cast<V>(num[0]);
+      s2 = static_cast<V>(denom[0]);
+      for (unsigned i = 1; i < count; ++i)
+      {
+         s1 *= z;
+         s2 *= z;
+         s1 += num[i];
+         s2 += denom[i];
+      }
+   }
+   return s1 / s2;
+}
+
+
+int main()
+{
+   double val = 0.001;
+   while (val < 1)
+   {
+      std::vector<double> v;
+      v.push_back(val);
+      data.push_back(v);
+      val *= 1.1;
+   }
+
+   for (unsigned i = 3; i <= 20; ++i)
+   {
+      double time = exec_timed_test([&](const std::vector<double>& v) {  
+         double result = 0;
+         for (unsigned j = 0; j < 10; ++j)
+            result += evaluate_polynomial_0(denom, v[0] + j, i);
+         return result;
+      });
+      report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Double Coefficients)");
+
+      time = exec_timed_test([&](const std::vector<double>& v) {
+         double result = 0;
+         for (unsigned j = 0; j < 10; ++j)
+            result += evaluate_polynomial_0(denom_int, v[0] + j, i);
+         return result;
+      });
+      report_execution_time(time, std::string("Polynomial Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Integer Coefficients)");
+   }
+
+   test_poly_1(boost::mpl::int_<20>());
+   test_poly_2(boost::mpl::int_<20>());
+   test_poly_3(boost::mpl::int_<20>());
+
+   for (unsigned i = 3; i <= 20; ++i)
+   {
+      double time = exec_timed_test([&](const std::vector<double>& v) {
+         double result = 0;
+         for (unsigned j = 0; j < 10; ++j)
+            result += evaluate_rational_0(num, denom, v[0] + j, i);
+         return result;
+      });
+      report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Double Coefficients)");
+
+      time = exec_timed_test([&](const std::vector<double>& v) {
+         double result = 0;
+         for (unsigned j = 0; j < 10; ++j)
+            result += evaluate_rational_0(num, denom_int, v[0] + j, i);
+         return result;
+      });
+      report_execution_time(time, std::string("Rational Method Comparison with ") + compiler_name() + std::string(" on ") + platform_name(), "Order " + make_order_string(i), "Method 0[br](Integer Coefficients)");
+   }
+
+   test_rat_1(boost::mpl::int_<20>());
+   test_rat_2(boost::mpl::int_<20>());
+   test_rat_3(boost::mpl::int_<20>());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_polygamma.cpp b/src/boost/libs/math/reporting/performance/test_polygamma.cpp
new file mode 100644
index 00000000..81ba5686
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_polygamma.cpp
@@ -0,0 +1,221 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/polygamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+typedef double value_type;
+#define SC_(x) static_cast<double>(x)
+   boost::array<boost::array<value_type, 3>, 484> data1 =
+      { { 
+      {{ 1, SC_(0.1250000), SC_(65.388133444988034473142999334395961) }}, {{ 1, SC_(2.250000), SC_(0.55732915450711073927131911933522402) }}, {{ 1, SC_(4.375000), SC_(0.25666408805722660683906428275458774) }}, {{ 1, SC_(6.500000), SC_(0.16628453574995823763989666631218566) }}, {{ 1, SC_(8.625000), SC_(0.12292237374423990274075995315923687) }}, {{ 1, SC_(10.75000), SC_(0.097483848201852104395946001854344927) }}, {{ 1, SC_(12.87500), SC_(0.080764208092843621858393487209278638) }}, {{ 1, SC_(15.00000), SC_(0.068938227847683806226155216756371670) }}, {{ 1, SC_(17.12500), SC_(0.060132263162293455894576107399989891) }}, {{ 1, SC_(19.25000), SC_(0.053320703915617277211139745531295189) }}, {{ 1, SC_(21.37500), SC_(0.047895038036916716105500109226810942) }}, {{ 1, SC_(23.50000), SC_(0.043471416266946770249685779030294199) }}, {{ 1, SC_(25.62500), SC_(0.039795743807625238080963836217545550) }}, {{ 1, SC_(27.75000), SC_(0.036693131333593477569076090983653779) }}, {{ 1, SC_(29.87500), SC_(0.034039266877179098641898178094001935) }}, {{ 1, SC_(32.00000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(34.12500), SC_(0.029737585673522726661363528635488348) }}, {{ 1, SC_(36.25000), SC_(0.027970204614894933106878169214392067) }}, {{ 1, SC_(38.37500), SC_(0.026401106865951764123858232364900665) }}, {{ 1, SC_(40.50000), SC_(0.024998698201356741322280011143883922) }}, {{ 1, SC_(42.62500), SC_(0.023737757818075642720991864115881164) }}, {{ 1, SC_(44.75000), SC_(0.022597908441287364284087900916682571) }}, {{ 1, SC_(46.87500), SC_(0.021562506914486557632388530071308920) }}, {{ 1, SC_(49.00000), SC_(0.020617826354560516060031453062401102) }}, {{ 1, SC_(51.12500), SC_(0.019752444228552790805040230288386135) }}, {{ 1, SC_(53.25000), SC_(0.018956778300513446216011889734099110) }}, {{ 1, SC_(55.37500), SC_(0.018222730375562878627773770314126276) }}, {{ 1, SC_(57.50000), SC_(0.017543409716574620734228673575882677) }}, {{ 1, SC_(59.62500), SC_(0.016912916093398919581541485278641593) }}, {{ 1, SC_(61.75000), SC_(0.016326167985389235938281994221076159) }}, {{ 1, SC_(63.87500), SC_(0.015778765341125640054231784371915358) }}, {{ 1, SC_(66.00000), SC_(0.015266879048806385777045778219279459) }}, {{ 1, SC_(68.12500), SC_(0.014787161242916062152535888615850260) }}, {{ 1, SC_(70.25000), SC_(0.014336672004276912093324664070489886) }}, {{ 1, SC_(72.37500), SC_(0.013912819061256593888508241399678441) }}, {{ 1, SC_(74.50000), SC_(0.013513307879079644573772830117155790) }}, {{ 1, SC_(76.62500), SC_(0.013136100107643257539226305043251166) }}, {{ 1, SC_(78.75000), SC_(0.012779378799112389298746113446648982) }}, {{ 1, SC_(80.87500), SC_(0.012441519142554280549428650598112729) }}, {{ 1, SC_(83.00000), SC_(0.012121063720980953787190412456820037) }}, {{ 1, SC_(85.12500), SC_(0.011816701495952671887865236708275449) }}, {{ 1, SC_(87.25000), SC_(0.011527249880640584213306489206202069) }}, {{ 1, SC_(89.37500), SC_(0.011251639384481213426240562514542477) }}, {{ 1, SC_(91.50000), SC_(0.010988900409103388104670465071922664) }}, {{ 1, SC_(93.62500), SC_(0.010738151851930343087942933225290955) }}, {{ 1, SC_(95.75000), SC_(0.010498591235178571927709342934117247) }}, {{ 1, SC_(97.87500), SC_(0.010269486127251686167359605922136260) }}, {{ 1, SC_(100.0000), SC_(0.010050166663333571395245668465701423) }},
+      {{ 2, SC_(0.1250000), -SC_(1025.7533381181356825956689300565174) }}, {{ 2, SC_(2.250000), -SC_(0.30373993753692033333796717884398989) }}, {{ 2, SC_(4.375000), -SC_(0.065528725397877855792664680804766330) }}, {{ 2, SC_(6.500000), -SC_(0.027587910706876798794117450572831562) }}, {{ 2, SC_(8.625000), -SC_(0.015091062676061564388822078971884395) }}, {{ 2, SC_(10.75000), -SC_(0.0094956196449265900776488965631791775) }}, {{ 2, SC_(12.87500), -SC_(0.0065193261909178260169885198194705291) }}, {{ 2, SC_(15.00000), -SC_(0.0047506027165515547467791223768191188) }}, {{ 2, SC_(17.12500), -SC_(0.0036148020016626802195565448384834283) }}, {{ 2, SC_(19.25000), -SC_(0.0028424250740909855631736845850335535) }}, {{ 2, SC_(21.37500), -SC_(0.0022934967923297751145806065882712900) }}, {{ 2, SC_(23.50000), -SC_(0.0018894667868625909895476094900477678) }}, {{ 2, SC_(25.62500), -SC_(0.0015834924252652953218803111387922996) }}, {{ 2, SC_(27.75000), -SC_(0.0013462349527320363170378913859580860) }}, {{ 2, SC_(29.87500), -SC_(0.0011585598948326545653381467670779893) }}, {{ 2, SC_(32.00000), -SC_(0.0010075567602140907392185110593117265) }}, {{ 2, SC_(34.12500), -SC_(0.00088425886906787461365402045268994574) }}, {{ 2, SC_(36.25000), -SC_(0.00078228136778540401396894643668418462) }}, {{ 2, SC_(38.37500), -SC_(0.00069697797537723210697105880606724159) }}, {{ 2, SC_(40.50000), -SC_(0.00062490237932923289658683588812998732) }}, {{ 2, SC_(42.62500), -SC_(0.00056345469641484389456121935536309197) }}, {{ 2, SC_(44.75000), -SC_(0.00051064374134295093656385520125286421) }}, {{ 2, SC_(46.87500), -SC_(0.00046492369550612086723038302919171885) }}, {{ 2, SC_(49.00000), -SC_(0.00042507970884222510504308867471824948) }}, {{ 2, SC_(51.12500), -SC_(0.00039014637079445100439645401142194535) }}, {{ 2, SC_(53.25000), -SC_(0.00035934868438211062777790080207505881) }}, {{ 2, SC_(55.37500), -SC_(0.00033205871518117505559928737076624192) }}, {{ 2, SC_(57.50000), -SC_(0.00030776333242771756953580263456220628) }}, {{ 2, SC_(59.62500), -SC_(0.00028603991345613245802207114123372414) }}, {{ 2, SC_(61.75000), -SC_(0.00026653784162151616772904552992231739) }}, {{ 2, SC_(63.87500), -SC_(0.00024896427102287300629668349085350311) }}, {{ 2, SC_(66.00000), -SC_(0.00023307306946180321476975587412226332) }}, {{ 2, SC_(68.12500), -SC_(0.00021865615382096049855997233359992101) }}, {{ 2, SC_(70.25000), -SC_(0.00020553664405312492990454318541834320) }}, {{ 2, SC_(72.37500), -SC_(0.00019356341228034103704385457246984425) }}, {{ 2, SC_(74.50000), -SC_(0.00018260671130395075946075978013398780) }}, {{ 2, SC_(76.62500), -SC_(0.00017255464497899193114313963889049197) }}, {{ 2, SC_(78.75000), -SC_(0.00016331030013937037094502788633900241) }}, {{ 2, SC_(80.87500), -SC_(0.00015478940207215993505449988937898640) }}, {{ 2, SC_(83.00000), -SC_(0.00014691838710034332570083901051760808) }}, {{ 2, SC_(85.12500), -SC_(0.00013963280957351165370765015817038278) }}, {{ 2, SC_(87.25000), -SC_(0.00013287601856558888563037791437997733) }}, {{ 2, SC_(89.37500), -SC_(0.00012659805332837531702241737466058293) }}, {{ 2, SC_(91.50000), -SC_(0.00012075471712784846612240303590084686) }}, {{ 2, SC_(93.62500), -SC_(0.00011530679728326736002584104318350829) }}, {{ 2, SC_(95.75000), -SC_(0.00011021940561565095981861374083495299) }}, {{ 2, SC_(97.87500), -SC_(0.00010546141852085692313553484671110170) }}, {{ 2, SC_(100.0000), -SC_(0.00010100499983334999700083300446059382) }},
+      {{ 3, SC_(0.1250000), SC_(24580.143419063566218511004446647010) }},
+      {{ 3, SC_(2.250000), SC_(0.32454400918839602279124382903505677) }},
+      {{ 3, SC_(4.375000), SC_(0.033289201205556512286673394063908247) }},
+      {{ 3, SC_(6.500000), SC_(0.0091336635043781405048050655353658508) }},
+      {{ 3, SC_(8.625000), SC_(0.0037008460120616755687668778806054328) }},
+      {{ 3, SC_(10.75000), SC_(0.0018484328773891268475922730275004208) }},
+      {{ 3, SC_(12.87500), SC_(0.0010519186241203463873018930415985105) }},
+      {{ 3, SC_(15.00000), SC_(0.00065447977828273734841733708901750530) }},
+      {{ 3, SC_(17.12500), SC_(0.00043447135395979214393136263736764201) }},
+      {{ 3, SC_(19.25000), SC_(0.00030297696415718385912539504824566570) }},
+      {{ 3, SC_(21.37500), SC_(0.00021961042047214603636739002880115737) }},
+      {{ 3, SC_(23.50000), SC_(0.00016422394665239820056068884910278128) }},
+      {{ 3, SC_(25.62500), SC_(0.00012599930135391694524067581601102767) }},
+      {{ 3, SC_(27.75000), SC_(0.000098773010741268191080883613389009048) }},
+      {{ 3, SC_(29.87500), SC_(0.000078857844307768334137453508928722671) }},
+      {{ 3, SC_(32.00000), SC_(0.000063955754777976299576673673574642423) }},
+      {{ 3, SC_(34.12500), SC_(0.000052583702941352521813139097855885393) }},
+      {{ 3, SC_(36.25000), SC_(0.000043755438122384003302367816109980192) }},
+      {{ 3, SC_(38.37500), SC_(0.000036797707573246758497786056137200200) }},
+      {{ 3, SC_(40.50000), SC_(0.000031240239710655936422248716017582946) }},
+      {{ 3, SC_(42.62500), SC_(0.000026747791378195202271687207455056302) }},
+      {{ 3, SC_(44.75000), SC_(0.000023076997706632396178157160717335565) }},
+      {{ 3, SC_(46.87500), SC_(0.000020048287815935784161580614536631137) }},
+      {{ 3, SC_(49.00000), SC_(0.000017527197874026635143654793647828466) }},
+      {{ 3, SC_(51.12500), SC_(0.000015411686998050652806770684541876757) }},
+      {{ 3, SC_(53.25000), SC_(0.000013623370966529973793708331754693666) }},
+      {{ 3, SC_(55.37500), SC_(0.000012101363299593660023105041673385376) }},
+      {{ 3, SC_(57.50000), SC_(0.000010797882726896889062768134787291884) }},
+      {{ 3, SC_(59.62500), SC_(9.6750769605707758334815857396558355e-6) }},
+      {{ 3, SC_(61.75000), SC_(8.7026966259856900409582330070865268e-6) }},
+      {{ 3, SC_(63.87500), SC_(7.8563716857343030149244371160376495e-6) }},
+      {{ 3, SC_(66.00000), SC_(7.1163203299934132027680033779014197e-6) }},
+      {{ 3, SC_(68.12500), SC_(6.4663719906627627544882175944382226e-6) }},
+      {{ 3, SC_(70.25000), SC_(5.8932210515208497328937862935232496e-6) }},
+      {{ 3, SC_(72.37500), SC_(5.3858517367657111634358444590928906e-6) }},
+      {{ 3, SC_(74.50000), SC_(4.9350912436686398240670814427342376e-6) }},
+      {{ 3, SC_(76.62500), SC_(4.5332598242018110991734569100539592e-6) }},
+      {{ 3, SC_(78.75000), SC_(4.1738947808706992483423293125251133e-6) }},
+      {{ 3, SC_(80.87500), SC_(3.8515312659502461861484363442184908e-6) }},
+      {{ 3, SC_(83.00000), SC_(3.5615270636518630626786644585266764e-6) }},
+      {{ 3, SC_(85.12500), SC_(3.2999216708248315372665461067377996e-6) }},
+      {{ 3, SC_(87.25000), SC_(3.0633223042636924720337703682152499e-6) }},
+      {{ 3, SC_(89.37500), SC_(2.8488111819903247190925375784544775e-6) }},
+      {{ 3, SC_(91.50000), SC_(2.6538697141941088454844912572034392e-6) }},
+      {{ 3, SC_(93.62500), SC_(2.4763162120667457234467192228222670e-6) }},
+      {{ 3, SC_(95.75000), SC_(2.3142544621402797124759791203351867e-6) }},
+      {{ 3, SC_(97.87500), SC_(2.1660310796121506708372890790676070e-6) }},
+      {{ 3, SC_(100.0000), SC_(2.0301999900013330334332872946449855e-6) }},
+
+      {{4, SC_(0.1250000), SC_(-786445.98543106378579320120709638297)}}, {{ 4, SC_(2.250000), SC_(-0.51106863793373355822715252195899576) }}, {{ 4, SC_(4.375000), SC_(-0.025241882074562753654505456518792508) }}, {{ 4, SC_(6.500000), SC_(-0.0045259302803220607103496010172883494) }}, {{ 4, SC_(8.625000), SC_(-0.0013596929106556359886012273921730071) }}, {{ 4, SC_(10.75000), SC_(-0.00053930828860547053427689740051604949) }}, {{ 4, SC_(12.87500), SC_(-0.00025445997266103206171225355293726865) }}, {{ 4, SC_(15.00000), SC_(-0.00013519619187519276575068431301221388) }}, {{ 4, SC_(17.12500), SC_(-0.000078306716822025065793290599586946118) }}, {{ 4, SC_(19.25000), SC_(-0.000048430513924395561509999792045098081) }}, {{ 4, SC_(21.37500), SC_(-0.000031536705873201397805285969259914559) }}, {{ 4, SC_(23.50000), SC_(-0.000021407049050977062373311093992814121) }}, {{ 4, SC_(25.62500), SC_(-0.000015036764178343754461565939319516893) }}, {{ 4, SC_(27.75000), SC_(-0.000010869219781124567432001391245344089) }}, {{ 4, SC_(29.87500), SC_(-8.0504604926168752698902834477348881e-6) }}, {{ 4, SC_(32.00000), SC_(-6.0889806370027137702207132674152980e-6) }}, {{ 4, SC_(34.12500), SC_(-4.6901011823268163094417546531023856e-6) }}, {{ 4, SC_(36.25000), SC_(-3.6708283086618325558290000911536581e-6) }}, {{ 4, SC_(38.37500), SC_(-2.9139932244650290336213711603586301e-6) }}, {{ 4, SC_(40.50000), SC_(-2.3425302303691304543510535971847968e-6) }}, {{ 4, SC_(42.62500), SC_(-1.9045296486050512642801504306671373e-6) }}, {{ 4, SC_(44.75000), SC_(-1.5642760453399369047824852836708697e-6) }}, {{ 4, SC_(46.87500), SC_(-1.2967233822729326645555539185332769e-6) }}, {{ 4, SC_(49.00000), SC_(-1.0840030171141394983603065427611252e-6) }}, {{ 4, SC_(51.12500), SC_(-9.1316643010960703020517255319750485e-7) }}, {{ 4, SC_(53.25000), SC_(-7.7469609700462921021995856208285815e-7) }}, {{ 4, SC_(55.37500), SC_(-6.6150474476547305805911346012045165e-7) }}, {{ 4, SC_(57.50000), SC_(-5.6825133351570053043820949353677183e-7) }}, {{ 4, SC_(59.62500), SC_(-4.9086620236193161135912086142572580e-7) }}, {{ 4, SC_(61.75000), SC_(-4.2621666772058776224801114961267801e-7) }}, {{ 4, SC_(63.87500), SC_(-3.7186839586672891333608898041067112e-7) }}, {{ 4, SC_(66.00000), SC_(-3.2591301914111222705427951896642626e-7) }}, {{ 4, SC_(68.12500), SC_(-2.8684217920848561693233665614958777e-7) }}, {{ 4, SC_(70.25000), SC_(-2.5345451083204479337777798526354757e-7) }}, {{ 4, SC_(72.37500), SC_(-2.2478626654835416271537021644553013e-7) }}, {{ 4, SC_(74.50000), SC_(-2.0005909073946645851596541397664333e-7) }}, {{ 4, SC_(76.62500), SC_(-1.7864035957298817513241281766878220e-7) }}, {{ 4, SC_(78.75000), SC_(-1.6001281551287093216803849072235519e-7) }}, {{ 4, SC_(80.87500), SC_(-1.4375113796429048125939526070340983e-7) }}, {{ 4, SC_(83.00000), SC_(-1.2950373350296884735201964028079076e-7) }}, {{ 4, SC_(85.12500), SC_(-1.1697848507486443027254417751822546e-7) }}, {{ 4, SC_(87.25000), SC_(-1.0593152651055065213702117539700727e-7) }}, {{ 4, SC_(89.37500), SC_(-9.6158345290200883062520858433963680e-8) }}, {{ 4, SC_(91.50000), SC_(-8.7486689164653963817234101603388082e-8) }}, {{ 4, SC_(93.62500), SC_(-7.9770879280803145900384972987304463e-8) }}, {{ 4, SC_(95.75000), SC_(-7.2887226653828502529665531368895369e-8) }}, {{ 4, SC_(97.87500), SC_(-6.6730319180606630829991063550458595e-8) }}, {{ 4, SC_(100.0000), SC_(-6.1209999300119967012993094755881001e-8) }},
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+      {{ SC_(1.0), SC_(0.5), SC_(4.9348022005446793094172454999380756) }}, {{ SC_(2.0), SC_(0.5), SC_(-16.828796644234319995596334261160300) }}, {{ SC_(3.0), SC_(0.5), SC_(97.409091034002437236440332688705111) }}, {{ SC_(4.0), SC_(0.5), SC_(-771.47424982666722519053592192403342) }}, {{ SC_(5.0), SC_(0.5), SC_(7691.1135486024354962417555492193592) }}, {{ SC_(6.0), SC_(0.5), SC_(-92203.457923803023286231087958265416) }}, {{ SC_(7.0), SC_(0.5), SC_(1.2904402181855980649694862685313201e6) }}, {{ SC_(8.0), SC_(0.5), SC_(-2.0644899961760041426402517887935387e7) }}, {{ SC_(9.0), SC_(0.5), SC_(3.7159545238509742722370782665375996e8) }}, {{ SC_(10.0), SC_(0.5), SC_(-7.4318245088587689754917967712772148e9) }}, {{ SC_(11.0), SC_(0.5), SC_(1.6349952113475880004602936491973290e11) }}, {{ SC_(12.0), SC_(0.5), SC_(-3.9239835716776094268285475780118302e12) }}, {{ SC_(13.0), SC_(0.5), SC_(1.0202353013465195041277151739878551e14) }}, {{ SC_(14.0), SC_(0.5), SC_(-2.8566584452212481470833807159097089e15) }}, {{ SC_(15.0), SC_(0.5), SC_(8.5699749372666517252032697437036695e16) }}, {{ SC_(16.0), SC_(0.5), SC_(-2.7423919374393211160431177426964643e18) }}, {{ SC_(17.0), SC_(0.5), SC_(9.3241325391494482576994960512370215e19) }}, {{ SC_(18.0), SC_(0.5), SC_(-3.3566877083169638444274914449348672e21) }}, {{ SC_(19.0), SC_(0.5), SC_(1.2755413284287493036311595679555294e23) }}, {{ SC_(20.0), SC_(0.5), SC_(-5.1021653127394298787426098736355399e24) }}, {{ SC_(21.0), SC_(0.5), SC_(2.1429094312139835232862558079810850e26) }}, {{ SC_(22.0), SC_(0.5), SC_(-9.4288014971412166432678344430683531e27) }}, {{ SC_(23.0), SC_(0.5), SC_(4.3372486886542455183876952472394031e29) }}, {{ SC_(24.0), SC_(0.5), SC_(-2.0818793705491236054644197662022342e31) }}, {{ SC_(25.0), SC_(0.5), SC_(1.0409396852737427640356547073711139e33) }}, {{ SC_(26.0), SC_(0.5), SC_(-5.4128863634220427078493834793146517e34) }}, {{ SC_(27.0), SC_(0.5), SC_(2.9229586362476475227234677536391722e36) }}, {{ SC_(28.0), SC_(0.5), SC_(-1.6368568362986349120390762957016873e38) }}, {{ SC_(29.0), SC_(0.5), SC_(9.4937696505319902685274359255316741e39) }}, {{ SC_(30.0), SC_(0.5), SC_(-5.6962617903191757168598825608931775e41) }}, {{ SC_(31.0), SC_(0.5), SC_(3.5316823099978851326405053801048261e43) }}, {{ SC_(32.0), SC_(0.5), SC_(-2.2602766783986456717032825683189511e45) }}, {{ SC_(33.0), SC_(0.5), SC_(1.4917826077431059644231123371238779e47) }}, {{ SC_(34.0), SC_(0.5), SC_(-1.0144121732653120152568117095915465e49) }}, {{ SC_(35.0), SC_(0.5), SC_(7.1008852128571840121789056825569522e50) }}, {{ SC_(36.0), SC_(0.5), SC_(-5.1126373532571724660603059705232204e52) }}, {{ SC_(37.0), SC_(0.5), SC_(3.7833516414103076192831949360932899e54) }}, {{ SC_(38.0), SC_(0.5), SC_(-2.8753472474718337892361988468491097e56) }}, {{ SC_(39.0), SC_(0.5), SC_(2.2427708530280303552352874820086301e58) }}, {{ SC_(40.0), SC_(0.5), SC_(-1.7942166824224242840898439541031383e60) }}, {{ SC_(41.0), SC_(0.5), SC_(1.4712576795863879129267798604374659e62) }}, {{ SC_(42.0), SC_(0.5), SC_(-1.2358564508525658468509652718307801e64) }}, {{ SC_(43.0), SC_(0.5), SC_(1.0628365477332066282896715879731180e66) }}, {{ SC_(44.0), SC_(0.5), SC_(-9.3529616200522183289427782398136808e67) }}, {{ SC_(45.0), SC_(0.5), SC_(8.4176654580469964960466008955275434e69) }}, {{ SC_(46.0), SC_(0.5), SC_(-7.7442522214032367763622903043252397e71) }}, {{ SC_(47.0), SC_(0.5), SC_(7.2795970881190425697803703632702328e73) }}, {{ SC_(48.0), SC_(0.5), SC_(-6.9884132045942808669890971414448669e75) }}, {{ SC_(49.0), SC_(0.5), SC_(6.8486449405023952496492961188997479e77) }}, {{ SC_(50.0), SC_(0.5), SC_(-6.8486449405023952496492897589943408e79) }},
+   }};
+   boost::array<boost::array<value_type, 3>, 284> big_data =
+   { {
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+      {{ 2, SC_(2.0000000000000000000000000000000000), SC_(-0.40411380631918857079947632302289998) }}, {{ 2, SC_(4.0000000000000000000000000000000000), SC_(-0.080039732245114496725402248948825907) }}, {{ 2, SC_(8.0000000000000000000000000000000000), SC_(-0.017699569195767773909291677736213879) }}, {{ 2, SC_(16.000000000000000000000000000000000), SC_(-0.0041580101239589621541865297842265262) }}, {{ 2, SC_(32.000000000000000000000000000000000), SC_(-0.0010075567602140907392185110593117265) }}, {{ 2, SC_(64.000000000000000000000000000000000), SC_(-0.00024798512216328534949893202341675581) }}, {{ 2, SC_(128.00000000000000000000000000000000), SC_(-0.000061513856015459056093727063597403146) }}, {{ 2, SC_(256.00000000000000000000000000000000), SC_(-0.000015318510122005107648117663349723503) }}, {{ 2, SC_(512.00000000000000000000000000000000), SC_(-3.8221551221702861883051574825692679e-6) }}, {{ 2, SC_(1024.0000000000000000000000000000000), SC_(-9.5460609372807180482794242236285690e-7) }}, {{ 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}}, {{ SC_(30.0),  SC_(1.8014398509481984000000000000000000e16), SC_(-1.8964694214383340521722742474983073e-457) }}, {{ SC_(30.0),  SC_(3.6028797018963968000000000000000000e16), SC_(-1.7662247842534755008372178353398608e-466) }}, {{ SC_(30.0),  SC_(7.2057594037927936000000000000000000e16), SC_(-1.6449250134206145379392674041454779e-475) }}, {{ SC_(30.0),  SC_(1.4411518807585587200000000000000000e17), SC_(-1.5319557985482871222587909400586267e-484) }}, {{ SC_(30.0),  SC_(2.8823037615171174400000000000000000e17), SC_(-1.4267450185011020326364788255126534e-493) }}, {{ SC_(30.0),  SC_(5.7646075230342348800000000000000000e17), SC_(-1.3287598439502548384585954790099239e-502) }}, {{ SC_(30.0),  SC_(1.1529215046068469760000000000000000e18), SC_(-1.2375040389134127843853680088571555e-511) }}, {{ SC_(30.0),  SC_(2.3058430092136939520000000000000000e18), SC_(-1.1525154476178928989312989675999669e-520) }}, {{ SC_(30.0),  SC_(4.6116860184273879040000000000000000e18), SC_(-1.0733636539596066765325327508232535e-529) }}, {{ SC_(30.0),  SC_(9.2233720368547758080000000000000000e18), SC_(-9.9964780170433844885501818972479211e-539) }}, {{ SC_(30.0),  SC_(1.8446744073709551616000000000000000e19), SC_(-9.3099456439198781553856371993072353e-548) }}, {{ SC_(30.0),  SC_(3.6893488147419103232000000000000000e19), SC_(-8.6705625466256198953841239814504762e-557) }}, {{ SC_(30.0),  SC_(7.3786976294838206464000000000000000e19), SC_(-8.0750906342879122995040411743125170e-566) }}, {{ SC_(30.0),  SC_(1.4757395258967641292800000000000000e20), SC_(-7.5205141997783559362248117439409145e-575) }}, {{ SC_(30.0),  SC_(2.9514790517935282585600000000000000e20), SC_(-7.0040246469698435960734303533011581e-584) }}, {{ SC_(30.0),  SC_(5.9029581035870565171200000000000000e20), SC_(-6.5230062668862227312246814035998837e-593) }}, {{ SC_(30.0),  SC_(1.1805916207174113034240000000000000e21), SC_(-6.0750229907093781336599992450810038e-602) }}, {{ SC_(30.0),  SC_(2.3611832414348226068480000000000000e21), SC_(-5.6578060525556822620531601462211155e-611) }}, {{ SC_(30.0),  SC_(4.7223664828696452136960000000000000e21), SC_(-5.2692424995411953535258666060047970e-620) }}, {{ SC_(30.0),  SC_(9.4447329657392904273920000000000000e21), SC_(-4.9073644909460054277605359114212468e-629) }}, {{ SC_(30.0),  SC_(1.8889465931478580854784000000000000e22), SC_(-4.5703393322844108825145652571006034e-638) }}, {{ SC_(30.0),  SC_(3.7778931862957161709568000000000000e22), SC_(-4.2564601938095045113123493445833636e-647) }}, {{ SC_(30.0),  SC_(7.5557863725914323419136000000000000e22), SC_(-3.9641374664469664090420159863859993e-656) }}, {{ SC_(30.0),  SC_(1.5111572745182864683827200000000000e23), SC_(-3.6918907113810688341424078675611601e-665) }}, {{ SC_(30.0),  SC_(3.0223145490365729367654400000000000e23), SC_(-3.4383411625223875363750612697898904e-674) }}, {{ SC_(30.0),  SC_(6.0446290980731458735308800000000000e23), SC_(-3.2022047438867274079238771888571055e-683) }}, {{ SC_(30.0),  SC_(1.2089258196146291747061760000000000e24), SC_(-2.9822855665224859564787125744222496e-692) }}, {{ SC_(30.0),  SC_(2.4178516392292583494123520000000000e24), SC_(-2.7774698720523025435197111896762965e-701) }}, {{ SC_(30.0),  SC_(4.8357032784585166988247040000000000e24), SC_(-2.5867203921566741015014262629362602e-710) }}, {{ SC_(30.0),  SC_(9.6714065569170333976494080000000000e24), SC_(-2.4090710954337139627909495039162813e-719) }}, {{ SC_(30.0),  SC_(1.9342813113834066795298816000000000e25), SC_(-2.2436222950310576360588405614024340e-728) }}, {{ SC_(30.0),  SC_(3.8685626227668133590597632000000000e25), SC_(-2.0895360922730133273255449640176061e-737) }}, {{ SC_(30.0),  SC_(7.7371252455336267181195264000000000e25), SC_(-1.9460321332076688551581879695116458e-746) }}, {{ SC_(30.0),  SC_(1.5474250491067253436239052800000000e26), SC_(-1.8123836565834180034307649180969011e-755) }}, {{ SC_(30.0),  SC_(3.0948500982134506872478105600000000e26), SC_(-1.6879138132402841033700526042422183e-764) }}, {{ SC_(30.0),  SC_(6.1897001964269013744956211200000000e26), SC_(-1.5719922382759713599179429591983936e-773) }}, {{ SC_(30.0),  SC_(1.2379400392853802748991242240000000e27), SC_(-1.4640318586267264186571752095136003e-782) }}, {{ SC_(30.0),  SC_(2.4758800785707605497982484480000000e27), SC_(-1.3634859198953271085928894585406723e-791) }}, {{ SC_(30.0),  SC_(4.9517601571415210995964968960000000e27), SC_(-1.2698452173688701433994709089494920e-800) }}, {{ SC_(30.0),  SC_(9.9035203142830421991929937920000000e27), SC_(-1.1826355172031280988822420193126128e-809) }}, {{ SC_(30.0),  SC_(1.9807040628566084398385987584000000e28), SC_(-1.1014151547133252945563215933898419e-818) }}, {{ SC_(30.0),  SC_(3.9614081257132168796771975168000000e28), SC_(-1.0257727976081197099353387886404875e-827) }}, {{ SC_(30.0),  SC_(7.9228162514264337593543950336000000e28), SC_(-9.5532536283891621039746216353614015e-837) }}, {{ SC_(30.0),  SC_(1.5845632502852867518708790067200000e29), SC_(-8.8971607651460562869670071028704372e-846) }}, {{ SC_(30.0),  SC_(3.1691265005705735037417580134400000e29), SC_(-8.2861266705636459281360796675545348e-855) }}, {{ SC_(30.0),  SC_(6.3382530011411470074835160268800000e29), SC_(-7.7170568244193177000955489160105929e-864) }}, {{ SC_(30.0),  SC_(1.2676506002282294014967032053760000e30), SC_(-7.1870692301721476950641245729469486e-873) }},
+      {{ SC_(31.0), SC_(2.0000000000000000000000000000000000), SC_(1.9145332544935048093264355986676073e24) }}, {{ SC_(31.0), SC_(4.0000000000000000000000000000000000), SC_(4.4611518561919816922776795853710092e14) }}, {{ SC_(31.0), SC_(8.0000000000000000000000000000000000), SC_(106267.95619808419253963903669279065) }}, {{ SC_(31.0), SC_(16.000000000000000000000000000000000), SC_(0.000028318136062027075392587779376335821) }}, {{ SC_(31.0), SC_(32.000000000000000000000000000000000), SC_(9.0814734303237413772295578988209818e-15) }}
+   } };
+   boost::array<boost::array<value_type, 3>, 551> neg_data =
+   { {
+      {{ SC_(1.0), SC_(-12.750), SC_(19.663772856722737612034697464751605) }}, {{ SC_(1.0), SC_(-12.250), SC_(19.660817549236368273654684043826967) }}, {{ SC_(1.0), SC_(-11.750), SC_(19.657621376522814505537196503582823) }}, {{ SC_(1.0), SC_(-11.250), SC_(19.654153659190554029589711115880278) }}, {{ SC_(1.0), SC_(-10.750), SC_(19.650378280099093364749509767503149) }}, {{ SC_(1.0), SC_(-10.250), SC_(19.646252424622652795021809881312377) }}, {{ SC_(1.0), SC_(-9.7500), SC_(19.641724953976865133273035997897957) }}, {{ SC_(1.0), SC_(-9.2500), SC_(19.636734280660725370869519577921538) }}, {{ SC_(1.0), SC_(-8.7500), SC_(19.631205558842085383108670448917024) }}, {{ SC_(1.0), SC_(-8.2500), SC_(19.625046917622010980803778160828770) }}, {{ SC_(1.0), SC_(-7.7500), SC_(19.618144334352289464741323510141514) }}, {{ SC_(1.0), SC_(-7.2500), SC_(19.610354539293269015698176691590937) }}, {{ SC_(1.0), SC_(-6.7500), SC_(19.601495010731061577124257953429755) }}, {{ SC_(1.0), SC_(-6.2500), SC_(19.591329569019785068016844943671793) }}, {{ SC_(1.0), SC_(-5.7500), SC_(19.579547136931335925546754524074474) }}, {{ SC_(1.0), SC_(-5.2500), SC_(19.565729569019785068016844943671793) }}, {{ SC_(1.0), SC_(-4.7500), SC_(19.549301390239464469970194977760674) }}, {{ SC_(1.0), SC_(-4.2500), SC_(19.529448389881463072551992335962043) }}, {{ SC_(1.0), SC_(-3.7500), SC_(19.504980060599575273294294700752364) }}, {{ SC_(1.0), SC_(-3.2500), SC_(19.474085068082155114074483685443011) }}, {{ SC_(1.0), SC_(-2.7500), SC_(19.433868949488464162183183589641253) }}, {{ SC_(1.0), SC_(-2.2500), SC_(19.379410511869137362595193744614609) }}, {{ SC_(1.0), SC_(-1.7500), SC_(19.301637544529786476232770366500757) }}, {{ SC_(1.0), SC_(-1.2500), SC_(19.181879647671606498397662880417078) }}, {{ SC_(1.0), SC_(-0.75000), SC_(18.975106932284888517049096897113002) }}, {{ SC_(1.0), SC_(-0.25000), SC_(18.541879647671606498397662880417078) }},
+      {{ SC_(2.0), SC_(-12.750), SC_(-124.03079461415823384604153251543681) }}, {{ SC_(2.0), SC_(-12.250), SC_(124.01896466745858356132308878716344) }}, {{ SC_(2.0), SC_(-11.750), SC_(-124.03175955222881001960976796032603) }}, {{ SC_(2.0), SC_(-11.250), SC_(124.01787668541028735821044014586602) }}, {{ SC_(2.0), SC_(-10.750), SC_(-124.03299241970518808612682102178640) }}, {{ SC_(2.0), SC_(-10.250), SC_(124.01647202148710491650947992638728) }}, {{ SC_(2.0), SC_(-9.7500), SC_(-124.03460234084420729198290916496876) }}, {{ SC_(2.0), SC_(-9.2500), SC_(124.01461482266526541911391108670126) }}, {{ SC_(2.0), SC_(-8.7500), SC_(-124.03676016548723903560636876475972) }}, {{ SC_(2.0), SC_(-8.2500), SC_(124.01208782525148933477537240192445) }}, {{ SC_(2.0), SC_(-7.7500), SC_(-124.03974558822776381694747663647984) }}, {{ SC_(2.0), SC_(-7.2500), SC_(124.00852603656573370687098416695770) }}, {{ SC_(2.0), SC_(-6.7500), SC_(-124.04404218787195165891317097369578) }}, {{ SC_(2.0), SC_(-6.2500), SC_(124.00327776890408296268303058132483) }}, {{ SC_(2.0), SC_(-5.7500), SC_(-124.05054526159038888901020902683808) }}, {{ SC_(2.0), SC_(-5.2500), SC_(123.99508576890408296268303058132483) }}, {{ SC_(2.0), SC_(-4.7500), SC_(-124.06106552130930069964553408642549) }}, {{ SC_(2.0), SC_(-4.2500), SC_(123.98126436732757934536308673076874) }}, {{ SC_(2.0), SC_(-3.7500), SC_(-124.07972713378925404561433420306057) }}, {{ SC_(2.0), SC_(-3.2500), SC_(123.95521103942202265902072971875978) }}, {{ SC_(2.0), SC_(-2.7500), SC_(-124.11765305971517997154026012898649) }}, {{ SC_(2.0), SC_(-2.2500), SC_(123.89694977406016558118732052440384) }}, {{ SC_(2.0), SC_(-1.7500), SC_(-124.21382135423058192495874247308867) }}, {{ SC_(2.0), SC_(-1.2500), SC_(123.72136678366236036856729308956159) }}, {{ SC_(2.0), SC_(-0.75000), SC_(-124.58699919679617959259722643810325) }}, {{ SC_(2.0), SC_(-0.25000), SC_(122.69736678366236036856729308956159) }},
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+      {{ SC_(3.0), SC_(-9.5367431640625000000000000000000000e-7), SC_(7.2535549176877750482370624939631357e24) }}, {{ SC_(3.0), SC_(-4.7683715820312500000000000000000000e-7), SC_(1.1605687868300440077179290249395127e26) }}, {{ SC_(3.0), SC_(-2.3841857910156250000000000000000000e-7), SC_(1.8569100589280704123486863424939453e27) }}, {{ SC_(3.0), SC_(-1.1920928955078125000000000000000000e-7), SC_(2.9710560942849126597578981382493942e28) }}, {{ SC_(3.0), SC_(-5.9604644775390625000000000000000000e-8), SC_(4.7536897508558602556126370202249394e29) }}, {{ SC_(3.0), SC_(-2.9802322387695312500000000000000000e-8), SC_(7.6059036013693764089802192322624939e30) }}, {{ SC_(3.0), SC_(-1.4901161193847656250000000000000000e-8), SC_(1.2169445762191002254368350771610249e32) }}, {{ SC_(3.0), SC_(-7.4505805969238281250000000000000000e-9), SC_(1.9471113219505603606989361234575425e33) }}, {{ SC_(3.0), SC_(-3.7252902984619140625000000000000000e-9), SC_(3.1153781151208965771182977975320582e34) }}, {{ SC_(3.0), SC_(-1.8626451492309570312500000000000000e-9), SC_(4.9846049841934345233892764760512922e35) }}, {{ SC_(3.0), SC_(-9.3132257461547851562500000000000000e-10), SC_(7.9753679747094952374228423616820675e36) }}, {{ SC_(3.0), SC_(-4.6566128730773925781250000000000000e-10), SC_(1.2760588759535192379876547778691308e38) }}, {{ SC_(3.0), SC_(-2.3283064365386962890625000000000000e-10), SC_(2.0416942015256307807802476445906093e39) }}, {{ SC_(3.0), SC_(-1.1641532182693481445312500000000000e-10), SC_(3.2667107224410092492483962313449748e40) }}, {{ SC_(3.0), SC_(-5.8207660913467407226562500000000000e-11), SC_(5.2267371559056147987974339701519597e41) }}, {{ SC_(3.0), SC_(-2.9103830456733703613281250000000000e-11), SC_(8.3627794494489836780758943522431356e42) }}, {{ SC_(3.0), SC_(-1.4551915228366851806640625000000000e-11), SC_(1.3380447119118373884921430963589017e44) }}, {{ SC_(3.0), SC_(-7.2759576141834259033203125000000000e-12), SC_(2.1408715390589398215874289541742427e45) }}, {{ SC_(3.0), SC_(-3.6379788070917129516601562500000000e-12), SC_(3.4253944624943037145398863266787883e46) }}, {{ SC_(3.0), SC_(-1.8189894035458564758300781250000000e-12), SC_(5.4806311399908859432638181226860613e47) }}, {{ SC_(3.0), SC_(-9.0949470177292823791503906250000000e-13), SC_(8.7690098239854175092221089962976981e48) }}, {{ SC_(3.0), SC_(-4.5474735088646411895751953125000000e-13), SC_(1.4030415718376668014755374394076317e50) }}, {{ SC_(3.0), SC_(-2.2737367544323205947875976562500000e-13), SC_(2.2448665149402668823608599030522107e51) }}, {{ SC_(3.0), SC_(-1.1368683772161602973937988281250000e-13), SC_(3.5917864239044270117773758448835371e52) }}, {{ SC_(3.0), SC_(-5.6843418860808014869689941406250000e-14), SC_(5.7468582782470832188438013518136594e53) }}, {{ SC_(3.0), SC_(-2.8421709430404007434844970703125000e-14), SC_(9.1949732451953331501500821629018551e54) }}, {{ SC_(3.0), SC_(-1.4210854715202003717422485351562500e-14), SC_(1.4711957192312533040240131460642968e56) }}, {{ SC_(3.0), SC_(-7.1054273576010018587112426757812500e-15), SC_(2.3539131507700052864384210337028749e57) }}, {{ SC_(3.0), SC_(-3.5527136788005009293556213378906250e-15), SC_(3.7662610412320084583014736539245998e58) }}, {{ SC_(3.0), SC_(-1.7763568394002504646778106689453125e-15), SC_(6.0260176659712135332823578462793598e59) }}, {{ SC_(3.0), SC_(-8.8817841970012523233890533447265625e-16), SC_(9.6416282655539416532517725540469756e60) }}, {{ SC_(3.0), SC_(-4.4408920985006261616945266723632812e-16), SC_(1.5426605224886306645202836086475161e62) }}, {{ SC_(3.0), SC_(-2.2204460492503130808472633361816406e-16), SC_(2.4682568359818090632324537738360258e63) }}, {{ SC_(3.0), SC_(-1.1102230246251565404236316680908203e-16), SC_(3.9492109375708945011719260381376412e64) }}, {{ SC_(3.0), SC_(-5.5511151231257827021181583404541016e-17), SC_(6.3187375001134312018750816610202259e65) }}, {{ SC_(3.0), SC_(-2.7755575615628913510590791702270508e-17), SC_(1.0109980000181489923000130657632362e67) }}, {{ SC_(3.0), SC_(-1.3877787807814456755295395851135254e-17), SC_(1.6175968000290383876800209052211778e68) }}, {{ SC_(3.0), SC_(-6.9388939039072283776476979255676270e-18), SC_(2.5881548800464614202880334483538845e69) }}, {{ SC_(3.0), SC_(-3.4694469519536141888238489627838135e-18), SC_(4.1410478080743382724608535173662153e70) }}, {{ SC_(3.0), SC_(-1.7347234759768070944119244813919067e-18), SC_(6.6256764929189412359373656277859444e71) }}, {{ SC_(3.0), SC_(-8.6736173798840354720596224069595337e-19), SC_(1.0601082388670305977499785004457511e73) }}, {{ SC_(3.0), SC_(-4.3368086899420177360298112034797668e-19), SC_(1.6961731821872489563999656007132018e74) }}, {{ SC_(3.0), SC_(-2.1684043449710088680149056017398834e-19), SC_(2.7138770914995983302399449611411228e75) }}, {{ SC_(3.0), SC_(-1.0842021724855044340074528008699417e-19), SC_(4.3422033463993573283839119378257965e76) }}, {{ SC_(3.0), SC_(-5.4210108624275221700372640043497086e-20), SC_(6.9475253542389717254142591005212745e77) }}, {{ SC_(3.0), SC_(-2.7105054312137610850186320021748543e-20), SC_(1.1116040566782354760662814560834039e79) }}, {{ SC_(3.0), SC_(-1.3552527156068805425093160010874271e-20), SC_(1.7785664906851767617060503297334463e80) }}, {{ SC_(3.0), SC_(-6.7762635780344027125465800054371357e-21), SC_(2.8457063850962828187296805275735140e81) }}, {{ SC_(3.0), SC_(-3.3881317890172013562732900027185678e-21), SC_(4.5531302161540525099674888441176224e82) }},
+      {{ SC_(124.0), SC_(-1.500), SC_(-2.7249890458922632375522129837125443e157) }}, {{ SC_(124.0), SC_(-2.500), SC_(-1.4769313224896369911103029786543928e139) }}, {{ SC_(124.0), SC_(-3.500), SC_(-3.3597086916687478281510460837686247e125) }}, {{ SC_(124.0), SC_(-4.500), SC_(-4.2907148995777554014718947851654811e114) }}, {{ SC_(124.0), SC_(-5.500), SC_(-3.6618139249627692553752809354502259e105) }}, {{ SC_(124.0), SC_(-6.500), SC_(-6.2403362354301509400433157402892941e97) }}, {{ SC_(124.0), SC_(-7.500), SC_(-1.0011531735317576688720095395178850e91) }}, {{ SC_(124.0), SC_(-8.500), SC_(-9.1710019415963060853316564350633528e84) }}, {{ SC_(124.0), SC_(-9.500), SC_(-3.3822714836539651302726236480037681e79) }}, {{ SC_(124.0), SC_(-10.50), SC_(-3.8962670995991768118677582868234531e74) }}, {{ SC_(124.0), SC_(-11.50), SC_(-1.1591591018132801852584224474253891e70) }}, {{ SC_(124.0), SC_(-12.50), SC_(-7.6948850968760327095578155247202587e65) }}, {{ SC_(124.0), SC_(-13.50), SC_(-1.0161777096507539745875317371106118e62) }}, {{ SC_(124.0), SC_(-14.50), SC_(-2.4354484351409547531920463990216679e58) }}, {{ SC_(124.0), SC_(-15.50), SC_(-9.8321990426222594076174716964878395e54) }}, {{ SC_(124.0), SC_(-16.50), SC_(-6.2882245279340391405004802996498744e51) }}, {{ SC_(124.0), SC_(-17.50), SC_(-6.0534504786126893203140318104359656e48) }}, {{ SC_(124.0), SC_(-18.50), SC_(-8.4019112566928602772066808945728022e45) }}, {{ SC_(124.0), SC_(-19.50), SC_(-1.6209265582255125824031570171026802e43) }}, {{ SC_(124.0), SC_(-20.50), SC_(-4.2125071484047517848318042867661534e40) }},
+      {{ SC_(125.0), SC_(-1.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-2.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-3.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-4.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-5.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-6.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-7.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-8.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-9.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-10.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-11.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-12.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-13.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-14.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-15.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-16.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-17.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-18.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-19.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-20.50), SC_(3.2032092294989705945080639466924596e247) }},
+      {{ SC_(125.0), SC_(-1.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+      {{ SC_(125.0), SC_(-1.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+   } };
+   boost::array<boost::array<value_type, 3>, 103> neg_double_data =
+   { {
+      { { SC_(124.0), SC_(-1.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } },
+      { { SC_(124.0), SC_(-1.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } },
+      { { SC_(1.0), SC_(-0.500), SC_(8.9348022005446793094172454999380756) } }, { { SC_(2.0), SC_(-0.500), SC_(-0.82879664423431999559633426116029987) } }, { { SC_(3.0), SC_(-0.500), SC_(193.40909103400243723644033268870511) } }, { { SC_(4.0), SC_(-0.500), SC_(-3.4742498266672251905359219240334210) } }, { { SC_(5.0), SC_(-0.500), SC_(15371.113548602435496241755549219359) } }, { { SC_(6.0), SC_(-0.500), SC_(-43.457923803023286231087958265415698) } }, { { SC_(7.0), SC_(-0.500), SC_(2.5806802181855980649694862685313201e6) } }, { { SC_(8.0), SC_(-0.500), SC_(-1059.9617600414264025178879353865365) } }, { { SC_(9.0), SC_(-0.500), SC_(7.4318457238509742722370782665375996e8) } }, { { SC_(10.), SC_(-0.500), SC_(-42108.858768975491796771277214753871) } }, { { SC_(11.), SC_(-0.500), SC_(3.2699873393475880004602936491973290e11) } }, { { SC_(12.), SC_(-0.500), SC_(-2.4644776094268285475780118302319831e6) } }, { { SC_(13.), SC_(-0.500), SC_(2.0404703892185195041277151739878551e14) } }, { { SC_(14.), SC_(-0.500), SC_(-1.9917964814708338071590970890436861e8) } }, { { SC_(15.), SC_(-0.500), SC_(1.7139949675391451725203269743703670e17) } }, { { SC_(16.), SC_(-0.500), SC_(-2.1239385116043117742696464301184360e10) } }, { { SC_(17.), SC_(-0.500), SC_(1.8648265054229230657699496051237022e20) } }, { { SC_(18.), SC_(-0.500), SC_(-2.8882421804274914449348671586694211e12) } }, { { SC_(19.), SC_(-0.500), SC_(2.5510826564916635359511595679555294e23) } }, { { SC_(20.), SC_(-0.500), SC_(-4.8777294946260987363553987421237456e14) } }, { { SC_(21.), SC_(-0.500), SC_(4.2858188623596794335838558079810850e26) } },
+      { { SC_(1.0), SC_(-0.50000023841857910156250000000000000), SC_(8.9348023981506946089014375825505155) } }, { { SC_(2.0), SC_(-0.50000023841857910156250000000000000), SC_(-0.82884275655508842604754532179574729) } }, { { SC_(3.0), SC_(-0.50000023841857910156250000000000000), SC_(193.40909186276501767728859938348815) } }, { { SC_(4.0), SC_(-0.50000023841857910156250000000000000), SC_(-3.4779145857199327369685563062655118) } }, { { SC_(5.0), SC_(-0.50000023841857910156250000000000000), SC_(15371.113559036959283359095676640936) } }, { { SC_(6.0), SC_(-0.50000023841857910156250000000000000), SC_(-44.073205913790411411330389206216025) } }, { { SC_(7.0), SC_(-0.50000023841857910156250000000000000), SC_(2.5806802184594352176701819301926979e6) } }, { { SC_(8.0), SC_(-0.50000023841857910156250000000000000), SC_(-1237.1507698016190706446362670415721) } }, { { SC_(9.0), SC_(-0.50000023841857910156250000000000000), SC_(7.4318457240443082449903207673842183e8) } }, { { SC_(10.), SC_(-0.50000023841857910156250000000000000), SC_(-120071.43228224150936593763797588950) } }, { { SC_(11.), SC_(-0.50000023841857910156250000000000000), SC_(3.2699873394114574294629126382636465e11) } }, { { SC_(12.), SC_(-0.50000023841857910156250000000000000), SC_(-5.1113082699448800419004327980237078e7) } }, { { SC_(13.), SC_(-0.50000023841857910156250000000000000), SC_(2.0404703892677090523475108203530504e14) } }, { { SC_(14.), SC_(-0.50000023841857910156250000000000000), SC_(-4.1064004123360078851054877806228941e10) } }, { { SC_(15.), SC_(-0.50000023841857910156250000000000000), SC_(1.7139949675921973682361201187974158e17) } }, { { SC_(16.), SC_(-0.50000023841857910156250000000000000), SC_(-4.4482167955078907488604509935932075e13) } }, { { SC_(17.), SC_(-0.50000023841857910156250000000000000), SC_(1.8648265054954360818722434334340996e20) } }, { { SC_(18.), SC_(-0.50000023841857910156250000000000000), SC_(-6.0825438456286690418846111378451293e16) } }, { { SC_(19.), SC_(-0.50000023841857910156250000000000000), SC_(2.5510826566134749972709942636451521e23) } }, { { SC_(20.), SC_(-0.50000023841857910156250000000000000), SC_(-1.0218237211995580504353583819436291e20) } }, { { SC_(21.), SC_(-0.50000023841857910156250000000000000), SC_(4.2858188626062237162861505116019247e26) } },
+      { { SC_(1.0), SC_(-0.49999976158142089843750000000000000), SC_(8.9348020029496580439061915046847633) } }, { { SC_(2.0), SC_(-0.49999976158142089843750000000000000), SC_(-0.82875053191374905338324754695139008) } }, { { SC_(3.0), SC_(-0.49999976158142089843750000000000000), SC_(193.40909020611360344139301017638823) } }, { { SC_(4.0), SC_(-0.49999976158142089843750000000000000), SC_(-3.4705850676169879410688441586536334) } }, { { SC_(5.0), SC_(-0.49999976158142089843750000000000000), SC_(15371.113538314606395712740903053532) } }, { { SC_(6.0), SC_(-0.49999976158142089843750000000000000), SC_(-42.842641692316412901148012739850716) } }, { { SC_(7.0), SC_(-0.49999976158142089843750000000000000), SC_(2.5806802179540060642078552424908302e6) } }, { { SC_(8.0), SC_(-0.49999976158142089843750000000000000), SC_(-882.77275028362734588789574976519641) } }, { { SC_(9.0), SC_(-0.49999976158142089843750000000000000), SC_(7.4318457238435175594844592942103986e8) } }, { { SC_(10.), SC_(-0.49999976158142089843750000000000000), SC_(35853.714744150436439369297880163123) } }, { { SC_(11.), SC_(-0.49999976158142089843750000000000000), SC_(3.2699873393997058844655604408250598e11) } }, { { SC_(12.), SC_(-0.49999976158142089843750000000000000), SC_(4.6184127480583821271680125577145403e7) } }, { { SC_(13.), SC_(-0.49999976158142089843750000000000000), SC_(2.0404703892667592897735663251491103e14) } }, { { SC_(14.), SC_(-0.49999976158142089843750000000000000), SC_(4.0665644827064704770358560360332387e10) } }, { { SC_(15.), SC_(-0.49999976158142089843750000000000000), SC_(1.7139949675920960909557128308150980e17) } }, { { SC_(16.), SC_(-0.49999976158142089843750000000000000), SC_(4.4439689184846657075559083382657063e13) } }, { { SC_(17.), SC_(-0.49999976158142089843750000000000000), SC_(1.8648265054954223096603082369745267e20) } }, { { SC_(18.), SC_(-0.49999976158142089843750000000000000), SC_(6.0819661971925807709274166342293111e16) } }, { { SC_(19.), SC_(-0.49999976158142089843750000000000000), SC_(2.5510826566134726713883235580466596e23) } }, { { SC_(20.), SC_(-0.49999976158142089843750000000000000), SC_(1.0218139657405687413065653078640133e20) } }, { { SC_(21.), SC_(-0.49999976158142089843750000000000000), SC_(4.2858188626062232387116210610555278e26) } },
+   } };
+
+   boost::array<boost::array<value_type, 3>, 90> small_data =
+   { {
+      {{ SC_(0.0), SC_(0.12500000000000000000), SC_(-8.3884926632958548678027429230863430) }}, {{ SC_(0.0), SC_(0.062500000000000000000), SC_(-16.478853490060104366505723782801995) }}, {{ SC_(0.0), SC_(0.031250000000000000000), SC_(-32.526953288606118111369026129964135) }}, {{ SC_(0.0), SC_(0.015625000000000000000), SC_(-64.551802973167856670965920212624596) }}, {{ SC_(0.0), SC_(0.0078125000000000000000), SC_(-128.56443747297672763722041223143322) }}, {{ SC_(0.0), SC_(0.0039062500000000000000), SC_(-256.57080841886464838984737508407824) }}, {{ SC_(0.0), SC_(0.0019531250000000000000), SC_(-512.57400748048652546824732749592750) }}, {{ SC_(0.0), SC_(0.00097656250000000000000), SC_(-1024.5756104293406219086220979096446) }}, {{ SC_(0.0), SC_(0.00048828125000000000000), SC_(-2048.5764127609059633822989920937770) }}, {{ SC_(0.0), SC_(0.00024414062500000000000), SC_(-4096.5768141413027972625364884707221) }}, {{ SC_(0.0), SC_(0.00012207031250000000000), SC_(-8192.5770148851960259755970875167303) }}, {{ SC_(0.0), SC_(0.000061035156250000000000), SC_(-16384.577115270571506673278270921248) }}, {{ SC_(0.0), SC_(0.000030517578125000000000), SC_(-32768.577165466617109315191527852551) }}, {{ SC_(0.0), SC_(0.000015258789062500000000), SC_(-65536.577190565479456940587995127301) }}, {{ SC_(0.0), SC_(7.6293945312500000000e-6), SC_(-131072.57720311512052742189906385878) }}, {{ SC_(0.0), SC_(3.8146972656250000000e-6), SC_(-262144.57720938999353809133982546559) }}, {{ SC_(0.0), SC_(1.9073486328125000000e-6), SC_(-524288.57721252744316244096483807868) }}, {{ SC_(0.0), SC_(9.5367431640625000000e-7), SC_(-1.0485765772140961712543892173131386e6) }},
+      {{ SC_(1.0), SC_(0.1250000000), SC_(65.388133444988034473142999334395961) }}, {{ SC_(1.0), SC_(0.06250000000), SC_(257.50642004291541426394984152786018) }}, {{ SC_(1.0), SC_(0.03125000000), SC_(1025.5728544782377088851896549789956) }}, {{ SC_(1.0), SC_(0.01562500000), SC_(4097.6081469812325471140472931934309) }}, {{ SC_(1.0), SC_(0.007812500000), SC_(16385.626348148031663597978251925972) }}, {{ SC_(1.0), SC_(0.003906250000), SC_(65537.635592296074077546680509110271) }}, {{ SC_(1.0), SC_(0.001953125000), SC_(262145.64025088744769438583827382756) }}, {{ SC_(1.0), SC_(0.0009765625000), SC_(1.0485776425893921526170408061678298e6) }},
+      {{ SC_(2.0), SC_(0.1250000000), SC_(-1025.7533381181356825956689300565174) }}, {{ SC_(2.0), SC_(0.06250000000), SC_(-8194.0423055503627202407284588855458) }}, {{ SC_(2.0), SC_(0.03125000000), SC_(-65538.212736402744663973874571262931) }}, {{ SC_(2.0), SC_(0.01562500000), SC_(-524290.30560802491992997062359624105) }}, {{ SC_(2.0), SC_(0.007812500000), SC_(-4.1943063541297826472489756741474152e6) }}, {{ SC_(2.0), SC_(0.003906250000), SC_(-3.3554434378935516909394862712904232e7) }}, {{ SC_(2.0), SC_(0.001953125000), SC_(-2.6843545839147764655287988662280398e8) }}, {{ SC_(2.0), SC_(0.0009765625000), SC_(-2.1474836503977839163960630063909364e9) }},
+      {{ SC_(3.0), SC_(0.1250000000), SC_(24580.143419063566218511004446647010) }}, {{ SC_(3.0), SC_(0.06250000000), SC_(393221.15036999967974263906424748910) }}, {{ SC_(3.0), SC_(0.03125000000), SC_(6.2914617723523498519444110540563165e6) }}, {{ SC_(3.0), SC_(0.01562500000), SC_(1.0066330211954465631968224525194028e8) }}, {{ SC_(3.0), SC_(0.007812500000), SC_(1.6106127423031841473495039368910042e9) }}, {{ SC_(3.0), SC_(0.003906250000), SC_(2.5769803782397651667126674423858834e10) }}, {{ SC_(3.0), SC_(0.001953125000), SC_(4.1231686042244556536661660289768233e11) }}, {{ SC_(3.0), SC_(0.0009765625000), SC_(6.5970697666624696945083422683684831e12) }},
+      {{ SC_(4.0), SC_(0.1250000000), SC_(-786445.98543106378579320120709638297) }}, {{ SC_(4.0), SC_(0.06250000000), SC_(-2.5165842491343080297812493001330106e7) }}, {{ SC_(4.0), SC_(0.03125000000), SC_(-8.0530638940150780088628643019449463e8) }}, {{ SC_(4.0), SC_(0.01562500000), SC_(-2.5769803799064252508878172105001377e10) }}, {{ SC_(4.0), SC_(0.007812500000), SC_(-8.2463372085595426712260437166652246e11) }}, {{ SC_(4.0), SC_(0.003906250000), SC_(-2.6388279066648414875708308182697262e13) }}, {{ SC_(4.0), SC_(0.001953125000), SC_(-8.4442493013199264920484069629201316e14) }}, {{ SC_(4.0), SC_(0.0009765625000), SC_(-2.7021597764223000767391638642998277e16) }},
+      {{ SC_(5.0), SC_(0.1250000000), SC_(3.1457340659602645662942019557433307e7) }}, {{ SC_(5.0), SC_(0.06250000000), SC_(2.0132660051504893647288429933363318e9) }}, {{ SC_(5.0), SC_(0.03125000000), SC_(1.2884901898167237155557768979087387e11) }}, {{ SC_(5.0), SC_(0.01562500000), SC_(8.2463372084313301694493047619778287e12) }}, {{ SC_(5.0), SC_(0.007812500000), SC_(5.2776558133259656048321206289799569e14) }}, {{ SC_(5.0), SC_(0.003906250000), SC_(3.3776997205278839283396175959111085e16) }}, {{ SC_(5.0), SC_(0.001953125000), SC_(2.1617278211378382006727785506307164e18) }}, {{ SC_(5.0), SC_(0.0009765625000), SC_(1.3835058055282163724137457865337740e20) }},
+      {{ SC_(8.0), SC_(0.1250000000), SC_(-5.4116588069756277838328695722389595e12) }}, {{ SC_(8.0), SC_(0.06250000000), SC_(-2.7707693020189462516270216110672946e15) }}, {{ SC_(8.0), SC_(0.03125000000), SC_(-1.4186338826217368769684713903764732e18) }}, {{ SC_(8.0), SC_(0.01562500000), SC_(-7.2634054790231363002428528775599797e20) }}, {{ SC_(8.0), SC_(0.007812500000), SC_(-3.7188636052598456061623085548707189e23) }}, {{ SC_(8.0), SC_(0.003906250000), SC_(-1.9040581658930409501626172937578262e26) }}, {{ SC_(8.0), SC_(0.001953125000), SC_(-9.7487778093723696648306072338399010e28) }}, {{ SC_(8.0), SC_(0.0009765625000), SC_(-4.9913742383986532683932688751727976e31) }},
+      {{ SC_(15.0), SC_(0.1250000000), SC_(3.6807761227792200230957850246407904e26) }}, {{ SC_(15.0), SC_(0.06250000000), SC_(2.4122334398245883325511911077327284e31) }}, {{ SC_(15.0), SC_(0.03125000000), SC_(1.5808813071234422095882610857505513e36) }}, {{ SC_(15.0), SC_(0.01562500000), SC_(1.0360463734364190864757622613687259e41) }}, {{ SC_(15.0), SC_(0.007812500000), SC_(6.7898335129529161251275555560392101e45) }}, {{ SC_(15.0), SC_(0.003906250000), SC_(4.4497852910488231117635948092058560e50) }}, {{ SC_(15.0), SC_(0.001953125000), SC_(2.9162112883417567145253894941611498e55) }}, {{ SC_(15.0), SC_(0.0009765625000), SC_(1.9111682299276536804313592588934511e60) }},
+      {{ SC_(22.0), SC_(0.1250000000), SC_(-6.6349292044725783891012472579673570e41) }}, {{ SC_(22.0), SC_(0.06250000000), SC_(-5.5657820204072306855435555719642654e48) }}, {{ SC_(22.0), SC_(0.03125000000), SC_(-4.6689163582644258586596154617085763e55) }}, {{ SC_(22.0), SC_(0.01562500000), SC_(-3.9165709114267828873358919539012256e62) }}, {{ SC_(22.0), SC_(0.007812500000), SC_(-3.2854578080162002342968961931631453e69) }}, {{ SC_(22.0), SC_(0.003906250000), SC_(-2.7560417651987161415024817781137906e76) }}, {{ SC_(22.0), SC_(0.001953125000), SC_(-2.3119353999880071814336850663739568e83) }}, {{ SC_(22.0), SC_(0.0009765625000), SC_(-1.9393919791822596946232062017265105e90) }},
+      {{ SC_(35.0), SC_(0.1250000000), SC_(3.3532982327901451846973629635910627e72) }}, {{ SC_(35.0), SC_(0.06250000000), SC_(2.3043689989709229438987285737704404e83) }}, {{ SC_(35.0), SC_(0.03125000000), SC_(1.5835503181594194718369731136519624e94) }}, {{ SC_(35.0), SC_(0.01562500000), SC_(1.0882074924904162473416628106826351e105) }}, {{ SC_(35.0), SC_(0.007812500000), SC_(7.4781049464136054012151819362261716e115) }}, {{ SC_(35.0), SC_(0.003906250000), SC_(5.1389145889443628300269064119650184e126) }}, {{ SC_(35.0), SC_(0.001953125000), SC_(3.5314352154325314429637711743107931e137) }}, {{ SC_(35.0), SC_(0.0009765625000), SC_(2.4267838013160699267233738410387795e148) }}
+   } };
+   using std::ldexp;
+
+   boost::array<boost::array<value_type, 3>, 23> bug_cases = 
+   { {
+      {{ SC_(171.0), SC_(2.0), SC_(2.073093314165313149880140394410e257) }}, {{ SC_(171.0), SC_(5.0), SC_(7.42911976071332889749264626321716781e188) }},
+      {{ SC_(166.0), SC_(2.0), SC_(-4.8129498903508823293044351695484095e247) }}, {{ SC_(166.0), SC_(3.0), SC_(-1.8843912448604502196243093626013895e218) }},
+      {{ SC_(171.0), SC_(23.0), SC_(7.53143916217078889612817829861181739e74) }}, {{ SC_(168.0), SC_(150.0), SC_(-6.5266062780306068333215312257902920e-66) }},
+      {{ SC_(169.0), SC_(202.0), SC_(9.2734049986021958613510169328055599e-88) }},
+      {{ SC_(20.0), SC_(-9.5), SC_(-0.0010307637762451416598018081796345932)}}, {{ SC_(21.0), SC_(-9.5), SC_(4.2858188624279670465725116159418790e26) }}, {{ SC_(22.0), SC_(-9.5), SC_(-0.0041914420015886426448664611125724338) }}, {{ SC_(23.0), SC_(-9.5), SC_(8.6744973773084910367753904944787155e29) }}, {{ SC_(24.0), SC_(-9.5), SC_(-0.020482527998674199369359987617445420) }}, {{ SC_(25.0), SC_(-9.5), SC_(2.0818793705474855280713094147422278e33) }}, {{ SC_(26.0), SC_(-9.5), SC_(-0.11840299831136879082790399023048278) }}, {{ SC_(27.0), SC_(-9.5), SC_(5.8459172724952950454469355072783445e36) }}, {{ SC_(28.0), SC_(-9.5), SC_(-0.79896867888629450211348696225656872) }}, {{ SC_(29.0), SC_(-9.5), SC_(1.8987539301063980537054871851063348e40) }}, {{ SC_(30.0), SC_(-9.5), SC_(-6.2224465669723272001827279817965087) }},
+      {{ SC_(1.0), ldexp(value_type(1), 120), SC_(7.5231638452626400509999138382223723e-37) }}, {{ SC_(2.0), ldexp(value_type(1), 120), SC_(-5.6597994242666952296931995568048699e-73) }}, {{ SC_(3.0), ldexp(value_type(1), 120), SC_(8.5159196800163014398201074324946177e-109) }}, {{ SC_(10.0), ldexp(value_type(1), 120), SC_(-2.1075031678562075551498983356333178e-356) }}, {{ SC_(15.0), ldexp(value_type(1), 120), SC_(1.2201582392961399809842378412624410e-531) }},
+   } };
+
+int main()
+{
+#include "expint_data.ipp"
+#include "expint_small_data.ipp"
+#include "expint_1_data.ipp"
+
+   add_data(data1);
+   add_data(big_data);
+   add_data(neg_data);
+   add_data(neg_double_data);
+   add_data(small_data);
+   add_data(bug_cases);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::polygamma(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_psi_n(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::psigamma(v[1], static_cast<int>(v[0]));  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "polygamma[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "polygamma";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::polygamma(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::polygamma(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_psi_n(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::psigamma(v[1], static_cast<int>(v[0]));  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_polynomial.cpp b/src/boost/libs/math/reporting/performance/test_polynomial.cpp
new file mode 100644
index 00000000..4474ec88
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_polynomial.cpp
@@ -0,0 +1,263 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2017 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#define BOOST_CHRONO_HEADER_ONLY
+
+#ifdef _MSC_VER
+#  define _SCL_SECURE_NO_WARNINGS
+#endif
+
+
+#include "performance.hpp"
+#include "table_helper.hpp"
+#include <boost/random.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+
+unsigned max_reps = 1000;
+
+template <class T>
+struct tester
+{
+   tester()
+   {
+      a.assign(500, T());
+      for(int i = 0; i < 500; ++i)
+      {
+         b.push_back(generate_random(false));
+         c.push_back(generate_random(false));
+         small.push_back(generate_random(true));
+      }
+   }
+   double test_add()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] + c[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_subtract()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] - c[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_add_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] + 1;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_subtract_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] - 1;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_multiply()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned k = 0; k < b.size(); ++k)
+            a[k] = b[k] * c[k];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_multiply_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] * 3;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_divide()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] / small[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_divide_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = b[i] / 3;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_gcd()
+   {
+      using boost::integer::gcd;
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for(unsigned i = 0; i < b.size(); ++i)
+            a[i] = gcd(b[i], c[i]);
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+
+   double test_inplace_add()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] += c[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_subtract()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] -= c[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_add_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] += 1;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_subtract_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] -= 1;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_multiply()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned k = 0; k < b.size(); ++k)
+            b[k] *= c[k];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_multiply_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] *= 3;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_divide()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            a[i] /= small[i];
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+   double test_inplace_divide_int()
+   {
+      stopwatch<boost::chrono::high_resolution_clock> w;
+      for (unsigned repeats = 0; repeats < max_reps; ++repeats)
+      {
+         for (unsigned i = 0; i < b.size(); ++i)
+            b[i] /= 3;
+      }
+      return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
+   }
+private:
+   T generate_random(bool issmall)
+   {
+      boost::uniform_int<> ui(2, issmall ? 5 : 40), ui2(1, 10000);
+      std::size_t  len = ui(gen);
+      std::vector<typename T::value_type> values;
+      for (std::size_t i = 0; i < len; ++i)
+      {
+         values.push_back(static_cast<typename T::value_type>(ui2(gen)));
+      }
+      return T(values.begin(), values.end());
+   }
+   std::vector<T> a, b, c, small;
+   static boost::random::mt19937 gen;
+};
+
+template <class N>
+boost::random::mt19937 tester<N>::gen;
+
+template <class Number>
+void test(const char* type)
+{
+   std::cout << "Testing type: " << type << std::endl;
+   tester<boost::math::tools::polynomial<Number> > t;
+   int count = 500 * max_reps;
+   std::string table_name = "Polynomial Arithmetic (" + compiler_name() + ", " + platform_name() + ")";
+   //
+   // Now the actual tests:
+   //
+   report_execution_time(t.test_add() / count, table_name, "operator +", type);
+   report_execution_time(t.test_subtract() / count, table_name, "operator -", type);
+   report_execution_time(t.test_multiply() / count, table_name, "operator *", type);
+   report_execution_time(t.test_divide() / count, table_name, "operator /", type);
+   report_execution_time(t.test_add_int() / count, table_name, "operator + (int)", type);
+   report_execution_time(t.test_subtract_int() / count, table_name, "operator - (int)", type);
+   report_execution_time(t.test_multiply_int() / count, table_name, "operator * (int)", type);
+   report_execution_time(t.test_divide_int() / count, table_name, "operator / (int)", type);
+   report_execution_time(t.test_inplace_add() / count, table_name, "operator +=", type);
+   report_execution_time(t.test_inplace_subtract() / count, table_name, "operator -=", type);
+   report_execution_time(t.test_inplace_multiply() / count, table_name, "operator *=", type);
+   report_execution_time(t.test_inplace_divide() / count, table_name, "operator /=", type);
+   report_execution_time(t.test_inplace_add_int() / count, table_name, "operator += (int)", type);
+   report_execution_time(t.test_inplace_subtract_int() / count, table_name, "operator -= (int)", type);
+   report_execution_time(t.test_inplace_multiply_int() / count, table_name, "operator *= (int)", type);
+   report_execution_time(t.test_inplace_divide_int() / count, table_name, "operator /= (int)", type);
+   //report_execution_time(t.test_gcd() / count, table_name, "gcd", type);
+}
+
+
+int main()
+{
+   test<boost::uint64_t>("boost::uint64_t");
+   test<double>("double");
+   max_reps = 100;
+   test<boost::multiprecision::cpp_int>("cpp_int");
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_sn.cpp b/src/boost/libs/math/reporting/performance/test_sn.cpp
new file mode 100644
index 00000000..20d629a1
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_sn.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+    static const boost::array<boost::array<T, 5>, 36> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+        {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+
+        // Try modulus > 1
+        {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+        {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+
+        // Special Values:
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }},
+        {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }},
+    }};
+
+
+int main()
+{
+#include "jacobi_elliptic.ipp"
+#include "jacobi_elliptic_small.ipp"
+#include "jacobi_near_1.ipp"
+#include "jacobi_large_phi.ipp"
+
+   add_data(data1);
+   add_data(jacobi_elliptic);
+   add_data(jacobi_elliptic_small);
+   add_data(jacobi_near_1);
+   add_data(jacobi_large_phi);
+
+   unsigned data_total = data.size();
+
+
+   std::cout << "Screening Boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::jacobi_sn(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return s;
+   }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "jacobi_sn[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "jacobi_sn";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_sn(v[1], v[2]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::jacobi_sn(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v)
+   {  
+      double s, c, d;
+      gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d);
+      return s;
+   });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_tgamma.cpp b/src/boost/libs/math/reporting/performance/test_tgamma.cpp
new file mode 100644
index 00000000..4bd9b87e
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_tgamma.cpp
@@ -0,0 +1,98 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#  include "test_gamma_data.ipp"
+
+   add_data(factorials);
+   add_data(near_0);
+   add_data(near_1);
+   add_data(near_2);
+   add_data(near_m10);
+   add_data(near_m55);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::tgamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::tgamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::tgamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_gamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gammafn(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "tgamma[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "tgamma";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::tgamma(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::tgamma(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::tgamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::tgamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_gamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gammafn(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_trigamma.cpp b/src/boost/libs/math/reporting/performance/test_trigamma.cpp
new file mode 100644
index 00000000..1ee1b209
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_trigamma.cpp
@@ -0,0 +1,84 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/trigamma.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+   boost::array<boost::array<T, 3>, 659> data =
+   { { 
+      { SC_(1.0), SC_(1.6449340668482264364724151666460252) }, { SC_(2.0), SC_(0.64493406684822643647241516664602519) }, { SC_(3.0), SC_(0.39493406684822643647241516664602519) }, { SC_(4.0), SC_(0.28382295573711532536130405553491408) }, { SC_(5.0), SC_(0.22132295573711532536130405553491408) }, { SC_(6.0), SC_(0.18132295573711532536130405553491408) }, { SC_(7.0), SC_(0.15354517795933754758352627775713630) }, { SC_(8.0), SC_(0.13313701469403142513454668592040161) }, { SC_(9.0), SC_(0.11751201469403142513454668592040161) }, { SC_(10.0), SC_(0.10516633568168574612220100690805593) }, { SC_(11.0), SC_(0.095166335681685746122201006908055927) }, { SC_(12.0), SC_(0.086901872871768390750300180461774936) }, { SC_(13.0), SC_(0.079957428427323946305855736017330491) }, { SC_(14.0), SC_(0.074040268664010336838400114715555343) }, { SC_(15.0), SC_(0.068938227847683806226155216756371670) }, { SC_(16.0), SC_(0.064493783403239361781710772311927225) }, { SC_(17.0), SC_(0.060587533403239361781710772311927225) }, { SC_(18.0), SC_(0.057127325790782614376866481654487779) }, { SC_(19.0), SC_(0.054040906037696194623780061901401359) }, { SC_(20.0), SC_(0.051270822935203119831536294588381969) }, { SC_(21.0), SC_(0.048770822935203119831536294588381969) }, { SC_(22.0), SC_(0.046503249239057995114983006606522558) }, { SC_(23.0), SC_(0.044437133536578656272007799994952310) }, { SC_(24.0), SC_(0.042546774368336690298472828350339834) }, { SC_(25.0), SC_(0.040810663257225579187361717239228723) }, { SC_(26.0), SC_(0.039210663257225579187361717239228723) }, { SC_(27.0), SC_(0.037731373316397176820497811913784936) }, { SC_(28.0), SC_(0.036359631203914323596903847579079860) }, { SC_(29.0), SC_(0.035084120999832690943842623089283942) }, { SC_(30.0), SC_(0.033895060357739944213759388844337450) }, { SC_(31.0), SC_(0.032783949246628833102648277733226339) }, { SC_(32.0), SC_(0.031743366520302090126581680438741427) }, { SC_(33.0), 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SC_(1.7592186044417644933493663013304205e13) }, { SC_(1.1920928955078125000000000000000000e-7), SC_(7.0368744177665644933780255573728145e13) }, { SC_(5.9604644775390625000000000000000000e-8), SC_(2.8147497671065764493392355188854676e14) }, { SC_(2.9802322387695312500000000000000000e-8), SC_(1.1258999068426256449339952000546077e15) }, { SC_(1.4901161193847656250000000000000000e-8), SC_(4.5035996273704976449340310241398011e15) }, { SC_(7.4505805969238281250000000000000000e-9), SC_(1.8014398509481985644934048936182939e16) }, { SC_(3.7252902984619140625000000000000000e-9), SC_(7.2057594037927937644934057892204642e16) }, { SC_(1.8626451492309570312500000000000000e-9), SC_(2.8823037615171174564493406237021553e17) }, { SC_(9.3132257461547851562500000000000000e-10), SC_(1.1529215046068469776449340646092210e18) }, { SC_(4.6566128730773925781250000000000000e-10), SC_(4.6116860184273879056449340657287237e18) }, { SC_(2.3283064365386962890625000000000000e-10), SC_(1.8446744073709551617644934066288475e19) }, { SC_(1.1641532182693481445312500000000000e-10), SC_(7.3786976294838206465644934066568351e19) }, { SC_(5.8207660913467407226562500000000000e-11), SC_(2.9514790517935282585764493406670829e20) }, { SC_(2.9103830456733703613281250000000000e-11), SC_(1.1805916207174113034256449340667783e21) }, { SC_(1.4551915228366851806640625000000000e-11), SC_(4.7223664828696452136976449340668132e21) }, { SC_(7.2759576141834259033203125000000000e-12), SC_(1.8889465931478580854785644934066831e22) }, { SC_(3.6379788070917129516601562500000000e-12), SC_(7.5557863725914323419137644934066839e22) }, { SC_(1.8189894035458564758300781250000000e-12), SC_(3.0223145490365729367654564493406684e23) }, { SC_(9.0949470177292823791503906250000000e-13), SC_(1.2089258196146291747061776449340668e24) }, { SC_(4.5474735088646411895751953125000000e-13), SC_(4.8357032784585166988247056449340668e24) }, { SC_(2.2737367544323205947875976562500000e-13), SC_(1.9342813113834066795298817644934067e25) }, { SC_(1.1368683772161602973937988281250000e-13), SC_(7.7371252455336267181195265644934067e25) }, { SC_(5.6843418860808014869689941406250000e-14), SC_(3.0948500982134506872478105764493407e26) }, { SC_(2.8421709430404007434844970703125000e-14), SC_(1.2379400392853802748991242256449341e27) }, { SC_(1.4210854715202003717422485351562500e-14), SC_(4.9517601571415210995964968976449341e27) }, { SC_(7.1054273576010018587112426757812500e-15), SC_(1.9807040628566084398385987585644934e28) }, { SC_(3.5527136788005009293556213378906250e-15), SC_(7.9228162514264337593543950337644934e28) }, { SC_(1.7763568394002504646778106689453125e-15), SC_(3.1691265005705735037417580134564493e29) }, { SC_(8.8817841970012523233890533447265625e-16), SC_(1.2676506002282294014967032053776449e30) }, { SC_(4.4408920985006261616945266723632812e-16), SC_(5.0706024009129176059868128215056449e30) }, { SC_(2.2204460492503130808472633361816406e-16), SC_(2.0282409603651670423947251286017645e31) }, { SC_(1.1102230246251565404236316680908203e-16), SC_(8.1129638414606681695789005144065645e31) }, { SC_(5.5511151231257827021181583404541016e-17), SC_(3.2451855365842672678315602057625764e32) }, { SC_(2.7755575615628913510590791702270508e-17), SC_(1.2980742146337069071326240823050256e33) }, { SC_(1.3877787807814456755295395851135254e-17), SC_(5.1922968585348276285304963292200976e33) }, { SC_(6.9388939039072283776476979255676270e-18), SC_(2.0769187434139310514121985316880386e34) }, { SC_(3.4694469519536141888238489627838135e-18), SC_(8.3076749736557242056487941267521538e34) }, { SC_(1.7347234759768070944119244813919067e-18), SC_(3.3230699894622896822595176507008615e35) }, { SC_(8.6736173798840354720596224069595337e-19), SC_(1.3292279957849158729038070602803446e36) }, { SC_(4.3368086899420177360298112034797668e-19), SC_(5.3169119831396634916152282411213783e36) }, { SC_(2.1684043449710088680149056017398834e-19), SC_(2.1267647932558653966460912964485513e37) }, { SC_(1.0842021724855044340074528008699417e-19), SC_(8.5070591730234615865843651857942053e37) }, { SC_(5.4210108624275221700372640043497086e-20), SC_(3.4028236692093846346337460743176821e38) }, { SC_(2.7105054312137610850186320021748543e-20), SC_(1.3611294676837538538534984297270728e39) }, { SC_(1.3552527156068805425093160010874271e-20), SC_(5.4445178707350154154139937189082914e39) }, { SC_(6.7762635780344027125465800054371357e-21), SC_(2.1778071482940061661655974875633166e40) }, { SC_(3.3881317890172013562732900027185678e-21), SC_(8.7112285931760246646623899502532662e40) }, { SC_(1.6940658945086006781366450013592839e-21), SC_(3.4844914372704098658649559801013065e41) }, { SC_(8.4703294725430033906832250067964196e-22), SC_(1.3937965749081639463459823920405226e42) }, { SC_(4.2351647362715016953416125033982098e-22), SC_(5.5751862996326557853839295681620904e42) }, { SC_(2.1175823681357508476708062516991049e-22), SC_(2.2300745198530623141535718272648362e43) }, { SC_(1.0587911840678754238354031258495525e-22), SC_(8.9202980794122492566142873090593446e43) }, { SC_(5.2939559203393771191770156292477623e-23), SC_(3.5681192317648997026457149236237378e44) }, { SC_(2.6469779601696885595885078146238811e-23), SC_(1.4272476927059598810582859694494951e45) }, { SC_(1.3234889800848442797942539073119406e-23), SC_(5.7089907708238395242331438777979805e45) }, { SC_(6.6174449004242213989712695365597028e-24), SC_(2.2835963083295358096932575511191922e46) }, { SC_(3.3087224502121106994856347682798514e-24), SC_(9.1343852333181432387730302044767689e46) }, { SC_(1.6543612251060553497428173841399257e-24), SC_(3.6537540933272572955092120817907075e47) }, { SC_(8.2718061255302767487140869206996285e-25), SC_(1.4615016373309029182036848327162830e48) }, { SC_(4.1359030627651383743570434603498143e-25), SC_(5.8460065493236116728147393308651321e48) }, { SC_(2.0679515313825691871785217301749071e-25), SC_(2.3384026197294446691258957323460528e49) }, { SC_(1.0339757656912845935892608650874536e-25), SC_(9.3536104789177786765035829293842113e49) }, { SC_(5.1698788284564229679463043254372678e-26), SC_(3.7414441915671114706014331717536845e50) }, { SC_(2.5849394142282114839731521627186339e-26), SC_(1.4965776766268445882405732687014738e51) }, { SC_(1.2924697071141057419865760813593170e-26), SC_(5.9863107065073783529622930748058952e51) }, { SC_(6.4623485355705287099328804067965848e-27), SC_(2.3945242826029513411849172299223581e52) }, { SC_(3.2311742677852643549664402033982924e-27), SC_(9.5780971304118053647396689196894324e52) }, { SC_(1.6155871338926321774832201016991462e-27), SC_(3.8312388521647221458958675678757730e53) }, { SC_(8.0779356694631608874161005084957310e-28), SC_(1.5324955408658888583583470271503092e54) }, { SC_(4.0389678347315804437080502542478655e-28), SC_(6.1299821634635554334333881086012367e54) }, { SC_(2.0194839173657902218540251271239327e-28), SC_(2.4519928653854221733733552434404947e55) }, { SC_(1.0097419586828951109270125635619664e-28), SC_(9.8079714615416886934934209737619788e55) }, { SC_(5.0487097934144755546350628178098319e-29), SC_(3.9231885846166754773973683895047915e56) }, { SC_(2.5243548967072377773175314089049159e-29), SC_(1.5692754338466701909589473558019166e57) }, { SC_(1.2621774483536188886587657044524580e-29), SC_(6.2771017353866807638357894232076664e57) }, { SC_(6.3108872417680944432938285222622898e-30), SC_(2.5108406941546723055343157692830666e58) }, { SC_(3.1554436208840472216469142611311449e-30), SC_(1.0043362776618689222137263077132266e59) }, { SC_(1.5777218104420236108234571305655725e-30), SC_(4.0173451106474756888549052308529065e59) }, { SC_(7.8886090522101180541172856528278623e-31), SC_(1.6069380442589902755419620923411626e60) },
+      { SC_(-0.5000000000), SC_(8.9348022005446793094172454999380756) }, { SC_(-1.500000000), SC_(9.3792466449891237538616899443825200) }, { SC_(-2.500000000), SC_(9.5392466449891237538616899443825200) }, { SC_(-3.500000000), SC_(9.6208792980503482436576083117294588) }, { SC_(-4.500000000), SC_(9.6702620140997309597069910277788415) }, { SC_(-5.500000000), SC_(9.7033198653394003811945943335639655) }, { SC_(-6.500000000), SC_(9.7269885043926548190644168187710661) }, { SC_(-7.500000000), SC_(9.7447662821704325968421945965488438) }, { SC_(-8.500000000), SC_(9.7586071126202595864615717591786016) }, { SC_(-9.500000000), SC_(9.7696874450302318856305468284306792) }, { SC_(-10.50000000), SC_(9.7787577398148123844967599803581168) }, { SC_(-11.50000000), SC_(9.7863191764877802483908998669365667) }, { SC_(-12.50000000), SC_(9.7927191764877802483908998669365667) }, { SC_(-13.50000000), SC_(9.7982061449377116612852757242753870) }, { SC_(-14.50000000), SC_(9.8029623875060826482056086612551730) }, { SC_(-15.50000000), SC_(9.8071247184113896201098750504331127) }, { SC_(-16.50000000), SC_(9.8107978129935751113862754177425709) }, { SC_(-17.50000000), SC_(9.8140631191160240909781121524364484) }, { SC_(-18.50000000), SC_(9.8169849598757026884945475067096405) }, { SC_(-19.50000000), SC_(9.8196148086593976260356388939548739) },
+      { SC_(-0.99902343750000000000000000000000000), SC_(1.0485786445453819054093666757806164e6) }, { SC_(-1.9990234375000000000000000000000000), SC_(1.0485788947897014608301106052600290e6) }, { SC_(-2.9990234375000000000000000000000000), SC_(1.0485790059731858715118158380121717e6) }, { SC_(-3.9990234375000000000000000000000000), SC_(1.0485790685037146291468005792240191e6) }, { SC_(-4.9990234375000000000000000000000000), SC_(1.0485791085193442079759033312640482e6) }, { SC_(-5.9990234375000000000000000000000000), SC_(1.0485791363061664391826604906353499e6) }, { SC_(-6.9990234375000000000000000000000000), SC_(1.0485791567200251382893770121774963e6) }, { SC_(-7.9990234375000000000000000000000000), SC_(1.0485791723488405341606371612842196e6) }, { SC_(-8.9990234375000000000000000000000000), SC_(1.0485791846971991664479297252200281e6) }, { SC_(-9.9990234375000000000000000000000000), SC_(1.0485791946991525775874820980861239e6) }, { SC_(-10.999023437500000000000000000000000), SC_(1.0485792029650829946601990955306663e6) }, { SC_(-11.999023437500000000000000000000000), SC_(1.0485792099106578577646272234105154e6) }, { SC_(-12.999023437500000000000000000000000), SC_(1.0485792158287067176193079741367670e6) }, { SC_(-13.999023437500000000000000000000000), SC_(1.0485792209314593886753540118883170e6) }, { SC_(-14.999023437500000000000000000000000), SC_(1.0485792253764825933424418561922499e6) }, { SC_(-15.999023437500000000000000000000000), SC_(1.0485792292832094741599436510420027e6) }, { SC_(-16.999023437500000000000000000000000), SC_(1.0485792327438146631093348182751076e6) }, { SC_(-17.999023437500000000000000000000000), SC_(1.0485792358305693414284737055180265e6) }, { SC_(-18.999023437500000000000000000000000), SC_(1.0485792386009372194851110066962854e6) }, { SC_(-19.999023437500000000000000000000000), SC_(1.0485792411011813779926686635901794e6) },
+      { SC_(-1.0009765625000000000000000000000000), SC_(1.0485786453346669585098368000725210e6)}, { SC_(-2.0009765625000000000000000000000000), SC_(1.0485788950907050310998538089289880e6) }, { SC_(-3.0009765625000000000000000000000000), SC_(1.0485790061295134851948027406034007e6) }, { SC_(-4.0009765625000000000000000000000000), SC_(1.0485790685990070793038292171104670e6) }, { SC_(-5.0009765625000000000000000000000000), SC_(1.0485791085833866557487460417106589e6) }, { SC_(-6.0009765625000000000000000000000000), SC_(1.0485791363521243952566116253382220e6) }, { SC_(-7.0009765625000000000000000000000000), SC_(1.0485791567545946099550113256489222e6) }, { SC_(-8.0009765625000000000000000000000000), SC_(1.0485791723757806110676477942302156e6) }, { SC_(-9.0009765625000000000000000000000000), SC_(1.0485791847187808756018779739003157e6) }, { SC_(-10.000976562500000000000000000000000), SC_(1.0485791947168280366669245397313590e6) }, { SC_(-11.000976562500000000000000000000000), SC_(1.0485792029798236302523575048817360e6) }, { SC_(-12.000976562500000000000000000000000), SC_(1.0485792099231379319842508274674963e6) }, { SC_(-13.000976562500000000000000000000000), SC_(1.0485792158394087991015231685011609e6) }, { SC_(-14.000976562500000000000000000000000), SC_(1.0485792209407379096480891892744762e6) }, { SC_(-15.000976562500000000000000000000000), SC_(1.0485792253846037068979581619480639e6) }, { SC_(-16.000976562500000000000000000000000), SC_(1.0485792292903769133919482794005111e6) }, { SC_(-17.000976562500000000000000000000000), SC_(1.0485792327501870178663179616292787e6) }, { SC_(-18.000976562500000000000000000000000), SC_(1.0485792358362719002281530732844340e6) }, { SC_(-19.000976562500000000000000000000000), SC_(1.0485792386060702710649859237414384e6) }, { SC_(-20.000976562500000000000000000000000), SC_(1.0485792411058261483202152741904670e6) },
+   } };
+
+   add_data(data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::trigamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_psi_1(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::trigamma(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "trigamma[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "trigamma";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::trigamma(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::trigamma(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_psi_1(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::trigamma(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_yn.cpp b/src/boost/libs/math/reporting/performance/test_yn.cpp
new file mode 100644
index 00000000..6278be16
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_yn.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_data = { {
+   { { SC_(0.0), SC_(1.0), SC_(0.0882569642156769579829267660235151628278175230906755467110438) } },
+   { { SC_(0.0), SC_(2.0), SC_(0.510375672649745119596606592727157873268139227085846135571839) } },
+   { { SC_(0.0), SC_(4.0), SC_(-0.0169407393250649919036351344471532182404925898980149027169321) } },
+   { { SC_(0.0), SC_(8.0), SC_(0.223521489387566220527323400498620359274814930781423577578334) } },
+   { { SC_(0.0), SC_(1e-05), SC_(-7.40316028370197013259676050746759072070960287586102867247159) } },
+   { { SC_(0.0), SC_(1e-10), SC_(-14.7325162726972420426916696426209144888762342592762415255386) } },
+   { { SC_(0.0), SC_(1e-20), SC_(-29.3912282502857968601858410375186700783698345615477536431464) } },
+   { { SC_(0.0), SC_(1e+03), SC_(0.00471591797762281339977326146566525500985900489680197718528000) } },
+   { { SC_(0.0), SC_(1e+05), SC_(0.00184676615886506410434074102431546125884886798090392516843524) } }
+   } };
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_data = { {
+   { { SC_(1.0), SC_(1.0), SC_(-0.781212821300288716547150000047964820549906390716444607843833) } },
+   { { SC_(1.0), SC_(2.0), SC_(-0.107032431540937546888370772277476636687480898235053860525795) } },
+   { { SC_(1.0), SC_(4.0), SC_(0.397925710557100005253979972450791852271189181622908340876586) } },
+   { { SC_(1.0), SC_(8.0), SC_(-0.158060461731247494255555266187483550327344049526705737651263) } },
+   { { SC_(1.0), SC_(1e-10), SC_(-6.36619772367581343150789184284462611709080831190542841855708e9) } },
+   { { SC_(1.0), SC_(1e-20), SC_(-6.36619772367581343075535053490057448139324059868649274367256e19) } },
+   { { SC_(1.0), SC_(1e+01), SC_(0.249015424206953883923283474663222803260416543069658461246944) } },
+   { { SC_(1.0), SC_(1e+03), SC_(-0.0247843312923517789148623560971412909386318548648705287583490) } },
+   { { SC_(1.0), SC_(1e+05), SC_(0.00171921035008825630099494523539897102954509504993494957572726) } }
+   } };
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_data = { {
+   { { SC_(2.0), SC_(1e-20), SC_(-1.27323954473516268615107010698011489627570899691226996904849e40) } },
+   { { SC_(5.0), SC_(10.0), SC_(0.135403047689362303197029014762241709088405766746419538495983) } },
+   { { SC_(-5.0), SC_(1e+06), SC_(0.000331052088322609048503535570014688967096938338061796192422114) } },
+   { { SC_(10.0), SC_(10.0), SC_(-0.359814152183402722051986577343560609358382147846904467526222) } },
+   { { SC_(10.0), SC_(1e-10), SC_(-1.18280490494334933900960937719565669877576135140014365217993e108) } },
+   { { SC_(-10.0), SC_(1e+06), SC_(0.000725951969295187086245251366365393653610914686201194434805730) } },
+   { { SC_(1e+02), SC_(5.0), SC_(-5.08486391602022287993091563093082035595081274976837280338134e115) } },
+   { { SC_(1e+03), SC_(1e+05), SC_(0.00217254919137684037092834146629212647764581965821326561261181) } },
+   { { SC_(-1e+03), SC_(7e+02), SC_(-1.88753109980945889960843803284345261796244752396992106755091e77) } },
+   { { SC_(-25.0), SC_(8.0), SC_(3.45113613777297661997458045843868931827873456761831907587263e8) } }
+   } };
+
+int main()
+{
+#include "bessel_y01_data.ipp"
+#include "bessel_yn_data.ipp"
+
+   add_data(y0_data);
+   add_data(y1_data);
+   add_data(yn_data);
+   add_data(bessel_y01_data);
+   add_data(bessel_yn_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_neumann(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return ::yn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_neumann(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Yn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return bessel_y(v[1], static_cast<int>(v[0]));  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_neumann (integer order)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_neumann (integer order)";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_neumann(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_neumann(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_C99) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_C99) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return ::yn(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "math.h");
+#endif
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_neumann(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Yn(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_y(v[1], static_cast<int>(v[0]));  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_ys.cpp b/src/boost/libs/math/reporting/performance/test_ys.cpp
new file mode 100644
index 00000000..1c519ed6
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_ys.cpp
@@ -0,0 +1,80 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+
+int main()
+{
+#include "sph_neumann_data.ipp"
+
+   add_data(sph_neumann_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::sph_neumann(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::sph_neumann(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_yl(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "sph_neumann[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "sph_neumann";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::sph_neumann(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::sph_neumann(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::sph_neumann(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_yl(static_cast<int>(v[0]), v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_yv.cpp b/src/boost/libs/math/reporting/performance/test_yv.cpp
new file mode 100644
index 00000000..2c9a5068
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_yv.cpp
@@ -0,0 +1,118 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+typedef double T;
+#define SC_(x) static_cast<double>(x)
+static const boost::array<boost::array<T, 3>, 11> yv_data = { {
+      //SC_(2.25), {{ SC_(1.0) / 1024, SC_(-1.01759203636941035147948317764932151601257765988969544340275e7) }},
+   { { SC_(0.5), T(1) / (1024 * 1024), SC_(-817.033790261762580469303126467917092806755460418223776544122) } },
+   { { SC_(5.5), SC_(3.125), SC_(-2.61489440328417468776474188539366752698192046890955453259866) } },
+   { { SC_(-5.5), SC_(3.125), SC_(-0.0274994493896489729948109971802244976377957234563871795364056) } },
+   { { SC_(-5.5), SC_(1e+04), SC_(-0.00759343502722670361395585198154817047185480147294665270646578) } },
+   { { T(-10486074) / (1024 * 1024), T(1) / 1024, SC_(-1.50382374389531766117868938966858995093408410498915220070230e38) } },
+   { { T(-10486074) / (1024 * 1024), SC_(1e+02), SC_(0.0583041891319026009955779707640455341990844522293730214223545) } },
+   { { SC_(141.75), SC_(1e+02), SC_(-5.38829231428696507293191118661269920130838607482708483122068e9) } },
+   { { SC_(141.75), SC_(2e+04), SC_(-0.00376577888677186194728129112270988602876597726657372330194186) } },
+   { { SC_(-141.75), SC_(1e+02), SC_(-3.81009803444766877495905954105669819951653361036342457919021e9) } },
+   { { SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(0.257086543428224355151772807588810984369026142375675714560864) } },
+   { { SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(0.0436807946352780974532519564114026730332781693877984686758680) } },
+   } };
+static const boost::array<boost::array<T, 3>, 7> yv_large_data = { {
+      // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+   { { SC_(0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(-7.14823099969225685526188875418476476336424046896822867989728e102) } },
+   { { SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) } },
+   { { SC_(0.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(-23.4611779112897561252987257324561640034037313549011724328997) } },
+   { { SC_(1.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(-5.73416113922265864550047623401604244038331542638719289100990e15) } },
+   { { SC_(2.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(-1.03297463879542177245046832533417970379386617249046560049244e32) } },
+   { { SC_(3.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(-3.72168335868978735639260528876490232745489151562358712422544e48) } },
+   { { SC_(10.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(-4.15729476804920974669173904282420477878640623992500096231384e167) } },
+   } };
+
+int main()
+{
+#include "bessel_yv_data.ipp"
+
+   add_data(yv_data);
+   add_data(yv_large_data);
+   add_data(bessel_yv_data);
+
+   unsigned data_total = data.size();
+
+   std::cout << "Screening boost data:\n";
+   screen_data([](const std::vector<double>& v){  return boost::math::cyl_neumann(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening libstdc++ data:\n";
+   screen_data([](const std::vector<double>& v){  return std::tr1::cyl_neumann(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening GSL data:\n";
+   screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Ynu(v[0], v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   std::cout << "Screening Rmath data:\n";
+   screen_data([](const std::vector<double>& v){  return bessel_y(v[1], v[0]);  }, [](const std::vector<double>& v){ return v[2];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "cyl_neumann[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "cyl_neumann";
+
+   double time;
+
+   time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_neumann(v[0], v[1]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_neumann(v[0], v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_neumann(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Ynu(v[0], v[1]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+#if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return bessel_y(v[1], v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/test_zeta.cpp b/src/boost/libs/math/reporting/performance/test_zeta.cpp
new file mode 100644
index 00000000..bf54534e
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/test_zeta.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <boost/math/special_functions/zeta.hpp>
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include "../../test/table_type.hpp"
+#include "table_helper.hpp"
+#include "performance.hpp"
+#include <iostream>
+
+int main()
+{
+   typedef double T;
+#define SC_(x) static_cast<double>(x)
+#include "zeta_data.ipp"
+#include "zeta_neg_data.ipp"
+#include "zeta_1_up_data.ipp"
+#include "zeta_1_below_data.ipp"
+
+   add_data(zeta_data);
+   add_data(zeta_neg_data);
+   add_data(zeta_1_up_data);
+   add_data(zeta_1_below_data);
+
+   unsigned data_total = data.size();
+
+   screen_data([](const std::vector<double>& v){  return boost::math::zeta(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return std::tr1::riemann_zeta(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   screen_data([](const std::vector<double>& v){  return gsl_sf_zeta(v[0]);  }, [](const std::vector<double>& v){ return v[1];  });
+#endif
+
+   unsigned data_used = data.size();
+   std::string function = "zeta[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
+   std::string function_short = "zeta";
+
+   double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::zeta(v[0]);  });
+   std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
+#endif
+   report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
+   //
+   // Boost again, but with promotion to long double turned off:
+   //
+#if !defined(COMPILER_COMPARISON_TABLES)
+   if(sizeof(long double) != sizeof(double))
+   {
+      double time = exec_timed_test([](const std::vector<double>& v){  return boost::math::zeta(v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
+      std::cout << time << std::endl;
+#if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
+      report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
+#endif
+      report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>");
+   }
+#endif
+
+
+#if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::riemann_zeta(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
+#endif
+#if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
+   time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_zeta(v[0]);  });
+   std::cout << time << std::endl;
+   report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
+#endif
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/reporting/performance/third_party/dcdflib/readme.txt b/src/boost/libs/math/reporting/performance/third_party/dcdflib/readme.txt
new file mode 100644
index 00000000..aec2d85f
--- /dev/null
+++ b/src/boost/libs/math/reporting/performance/third_party/dcdflib/readme.txt
@@ -0,0 +1,6 @@
+Add the C source files for DCDFLIB here if you want them to be built and tested for performance comparisons.
+
+Copyright 2015 John Maddock and Paul A. Bristow.
+Distributed under the Boost Software License, Version 1.0.
+(See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
diff --git a/src/boost/libs/math/src/tr1/acosh.cpp b/src/boost/libs/math/src/tr1/acosh.cpp
new file mode 100644
index 00000000..67fd9a6b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/acosh.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/acosh.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/acoshf.cpp b/src/boost/libs/math/src/tr1/acoshf.cpp
new file mode 100644
index 00000000..4b7c8d84
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/acoshf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/acosh.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/acoshl.cpp b/src/boost/libs/math/src/tr1/acoshl.cpp
new file mode 100644
index 00000000..7e20dab9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/acoshl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/acosh.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/asinh.cpp b/src/boost/libs/math/src/tr1/asinh.cpp
new file mode 100644
index 00000000..5d1cc41d
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/asinh.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/asinh.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/asinhf.cpp b/src/boost/libs/math/src/tr1/asinhf.cpp
new file mode 100644
index 00000000..3ead3785
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/asinhf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/asinh.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/asinhl.cpp b/src/boost/libs/math/src/tr1/asinhl.cpp
new file mode 100644
index 00000000..e49b4d98
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/asinhl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/asinh.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_laguerre.cpp b/src/boost/libs/math/src/tr1/assoc_laguerre.cpp
new file mode 100644
index 00000000..ea674d1a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_laguerre.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_laguerref.cpp b/src/boost/libs/math/src/tr1/assoc_laguerref.cpp
new file mode 100644
index 00000000..563a1600
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_laguerref.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_laguerrel.cpp b/src/boost/libs/math/src/tr1/assoc_laguerrel.cpp
new file mode 100644
index 00000000..e261cf37
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_laguerrel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_legendre.cpp b/src/boost/libs/math/src/tr1/assoc_legendre.cpp
new file mode 100644
index 00000000..78a17f98
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_legendre.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return (m&1 ? -1 : 1) * c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_legendref.cpp b/src/boost/libs/math/src/tr1/assoc_legendref.cpp
new file mode 100644
index 00000000..70665d4e
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_legendref.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return (m&1 ? -1 : 1) * c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/assoc_legendrel.cpp b/src/boost/libs/math/src/tr1/assoc_legendrel.cpp
new file mode 100644
index 00000000..318a69a9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/assoc_legendrel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return (m&1 ? -1 : 1) * c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/atanh.cpp b/src/boost/libs/math/src/tr1/atanh.cpp
new file mode 100644
index 00000000..d73383cb
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/atanh.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/atanh.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/atanhf.cpp b/src/boost/libs/math/src/tr1/atanhf.cpp
new file mode 100644
index 00000000..210ad4d9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/atanhf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/atanh.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/atanhl.cpp b/src/boost/libs/math/src/tr1/atanhl.cpp
new file mode 100644
index 00000000..eb13be3c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/atanhl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/atanh.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/beta.cpp b/src/boost/libs/math/src/tr1/beta.cpp
new file mode 100644
index 00000000..0922c1d9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/beta.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::beta BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/betaf.cpp b/src/boost/libs/math/src/tr1/betaf.cpp
new file mode 100644
index 00000000..31ac4798
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/betaf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::beta BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/betal.cpp b/src/boost/libs/math/src/tr1/betal.cpp
new file mode 100644
index 00000000..024c92d4
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/betal.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_betal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::beta BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/c_policy.hpp b/src/boost/libs/math/src/tr1/c_policy.hpp
new file mode 100644
index 00000000..cf195133
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/c_policy.hpp
@@ -0,0 +1,131 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+
+namespace boost{ namespace math{ namespace policies{
+
+template <>
+struct policy<
+   domain_error<errno_on_error>, 
+   pole_error<errno_on_error>, 
+   overflow_error<errno_on_error>, 
+   evaluation_error<errno_on_error>, 
+   rounding_error<errno_on_error>, 
+   default_policy, default_policy, default_policy, default_policy, default_policy, default_policy>
+{
+public:
+   typedef domain_error<errno_on_error> domain_error_type;
+   typedef pole_error<errno_on_error> pole_error_type;
+   typedef overflow_error<errno_on_error> overflow_error_type;
+   typedef underflow_error<errno_on_error> underflow_error_type;
+   typedef denorm_error<errno_on_error> denorm_error_type;
+   typedef evaluation_error<errno_on_error> evaluation_error_type;
+   typedef rounding_error<errno_on_error> rounding_error_type;
+   typedef indeterminate_result_error<> indeterminate_result_error_type;
+#if BOOST_MATH_DIGITS10_POLICY == 0
+   typedef digits2<> precision_type;
+#else
+   typedef detail::precision<digits10<>, digits2<> >::type precision_type;
+#endif
+   typedef promote_float<> promote_float_type;
+   typedef promote_double<> promote_double_type;
+   typedef discrete_quantile<> discrete_quantile_type;
+   typedef assert_undefined<> assert_undefined_type;
+   typedef max_series_iterations<> max_series_iterations_type;
+   typedef max_root_iterations<> max_root_iterations_type;
+};
+
+template <>
+struct policy<
+   domain_error<errno_on_error>, 
+   pole_error<errno_on_error>, 
+   overflow_error<errno_on_error>, 
+   evaluation_error<errno_on_error>, 
+   rounding_error<errno_on_error>, 
+   detail::forwarding_arg1, 
+   detail::forwarding_arg2, 
+   default_policy, default_policy, default_policy, default_policy, default_policy, default_policy>
+{
+public:
+   typedef domain_error<errno_on_error> domain_error_type;
+   typedef pole_error<errno_on_error> pole_error_type;
+   typedef overflow_error<errno_on_error> overflow_error_type;
+   typedef underflow_error<errno_on_error> underflow_error_type;
+   typedef denorm_error<errno_on_error> denorm_error_type;
+   typedef evaluation_error<errno_on_error> evaluation_error_type;
+   typedef rounding_error<errno_on_error> rounding_error_type;
+   typedef indeterminate_result_error<> indeterminate_result_error_type;
+#if BOOST_MATH_DIGITS10_POLICY == 0
+   typedef digits2<> precision_type;
+#else
+   typedef detail::precision<digits10<>, digits2<> >::type precision_type;
+#endif
+   typedef promote_float<false> promote_float_type;
+   typedef promote_double<false> promote_double_type;
+   typedef discrete_quantile<> discrete_quantile_type;
+   typedef assert_undefined<> assert_undefined_type;
+   typedef max_series_iterations<> max_series_iterations_type;
+   typedef max_root_iterations<> max_root_iterations_type;
+};
+
+template <>
+struct normalise<policy<domain_error<errno_on_error>, pole_error<errno_on_error>, overflow_error<errno_on_error>, evaluation_error<errno_on_error>, rounding_error<errno_on_error> >,
+          promote_float<false>,
+          promote_double<false>,
+          discrete_quantile<>,
+          assert_undefined<>,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy>
+{
+   typedef policy<domain_error<errno_on_error>, pole_error<errno_on_error>, overflow_error<errno_on_error>, evaluation_error<errno_on_error>, rounding_error<errno_on_error>, detail::forwarding_arg1, detail::forwarding_arg2> type;
+};
+
+template <>
+struct normalise<policy<domain_error<errno_on_error>, pole_error<errno_on_error>, overflow_error<errno_on_error>, evaluation_error<errno_on_error>, rounding_error<errno_on_error>, detail::forwarding_arg1, detail::forwarding_arg2 >,
+          promote_float<false>,
+          promote_double<false>,
+          discrete_quantile<>,
+          assert_undefined<>,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy,
+          default_policy>
+{
+   typedef policy<domain_error<errno_on_error>, pole_error<errno_on_error>, overflow_error<errno_on_error>, evaluation_error<errno_on_error>, rounding_error<errno_on_error>, detail::forwarding_arg1, detail::forwarding_arg2> type;
+};
+
+}}} // namespaces
+
+namespace c_policies{
+
+using boost::math::policies::policy;
+using boost::math::policies::errno_on_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::pole_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::rounding_error;
+using boost::math::policies::evaluation_error;
+
+typedef policy<
+   domain_error<errno_on_error>,
+   pole_error<errno_on_error>,
+   overflow_error<errno_on_error>,
+   evaluation_error<errno_on_error>,
+   rounding_error<errno_on_error>
+> c_policy;
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(c_policy)
+
+}
diff --git a/src/boost/libs/math/src/tr1/cbrt.cpp b/src/boost/libs/math/src/tr1/cbrt.cpp
new file mode 100644
index 00000000..2121c458
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cbrt.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cbrtf.cpp b/src/boost/libs/math/src/tr1/cbrtf.cpp
new file mode 100644
index 00000000..c8dd94f7
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cbrtf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cbrtl.cpp b/src/boost/libs/math/src/tr1/cbrtl.cpp
new file mode 100644
index 00000000..085a6b4a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cbrtl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_1.cpp b/src/boost/libs/math/src/tr1/comp_ellint_1.cpp
new file mode 100644
index 00000000..fe2dab4b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_1.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_1f.cpp b/src/boost/libs/math/src/tr1/comp_ellint_1f.cpp
new file mode 100644
index 00000000..2da9690c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_1f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_1l.cpp b/src/boost/libs/math/src/tr1/comp_ellint_1l.cpp
new file mode 100644
index 00000000..8542c289
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_1l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_2.cpp b/src/boost/libs/math/src/tr1/comp_ellint_2.cpp
new file mode 100644
index 00000000..d31fcfa6
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_2.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_comp_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_2f.cpp b/src/boost/libs/math/src/tr1/comp_ellint_2f.cpp
new file mode 100644
index 00000000..99272605
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_2f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_comp_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_2l.cpp b/src/boost/libs/math/src/tr1/comp_ellint_2l.cpp
new file mode 100644
index 00000000..44da5887
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_2l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_comp_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_3.cpp b/src/boost/libs/math/src/tr1/comp_ellint_3.cpp
new file mode 100644
index 00000000..dc0704fb
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_3.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_comp_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_3f.cpp b/src/boost/libs/math/src/tr1/comp_ellint_3f.cpp
new file mode 100644
index 00000000..b72431b1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_3f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_comp_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/comp_ellint_3l.cpp b/src/boost/libs/math/src/tr1/comp_ellint_3l.cpp
new file mode 100644
index 00000000..cc976a6c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/comp_ellint_3l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_comp_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/copysign.cpp b/src/boost/libs/math/src/tr1/copysign.cpp
new file mode 100644
index 00000000..1bd65fc1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/copysign.cpp
@@ -0,0 +1,20 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return boost::math::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
+
diff --git a/src/boost/libs/math/src/tr1/copysignf.cpp b/src/boost/libs/math/src/tr1/copysignf.cpp
new file mode 100644
index 00000000..fa078c48
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/copysignf.cpp
@@ -0,0 +1,20 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   return boost::math::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
+
diff --git a/src/boost/libs/math/src/tr1/copysignl.cpp b/src/boost/libs/math/src/tr1/copysignl.cpp
new file mode 100644
index 00000000..624a4f74
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/copysignl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return boost::math::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_i.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_i.cpp
new file mode 100644
index 00000000..65138aa3
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_i.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_if.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_if.cpp
new file mode 100644
index 00000000..551cd324
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_if.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_il.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_il.cpp
new file mode 100644
index 00000000..6c3bae98
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_il.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_j.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_j.cpp
new file mode 100644
index 00000000..69978ac1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_j.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_jf.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_jf.cpp
new file mode 100644
index 00000000..a5c572c9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_jf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_jl.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_jl.cpp
new file mode 100644
index 00000000..03c2cacf
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_jl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_k.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_k.cpp
new file mode 100644
index 00000000..08861dac
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_k.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_kf.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_kf.cpp
new file mode 100644
index 00000000..ffa94501
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_kf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_bessel_kl.cpp b/src/boost/libs/math/src/tr1/cyl_bessel_kl.cpp
new file mode 100644
index 00000000..71262410
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_bessel_kl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_neumann.cpp b/src/boost/libs/math/src/tr1/cyl_neumann.cpp
new file mode 100644
index 00000000..7cc3868c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_neumann.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_neumannf.cpp b/src/boost/libs/math/src/tr1/cyl_neumannf.cpp
new file mode 100644
index 00000000..3fd9e3d2
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_neumannf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/cyl_neumannl.cpp b/src/boost/libs/math/src/tr1/cyl_neumannl.cpp
new file mode 100644
index 00000000..373efc67
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/cyl_neumannl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_1.cpp b/src/boost/libs/math/src/tr1/ellint_1.cpp
new file mode 100644
index 00000000..d0c33726
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_1.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_1f.cpp b/src/boost/libs/math/src/tr1/ellint_1f.cpp
new file mode 100644
index 00000000..e04b4aa7
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_1f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_1l.cpp b/src/boost/libs/math/src/tr1/ellint_1l.cpp
new file mode 100644
index 00000000..b670f959
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_1l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_2.cpp b/src/boost/libs/math/src/tr1/ellint_2.cpp
new file mode 100644
index 00000000..22078bf3
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_2.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_2f.cpp b/src/boost/libs/math/src/tr1/ellint_2f.cpp
new file mode 100644
index 00000000..8841579c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_2f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_2l.cpp b/src/boost/libs/math/src/tr1/ellint_2l.cpp
new file mode 100644
index 00000000..8ea53607
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_2l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_3.cpp b/src/boost/libs/math/src/tr1/ellint_3.cpp
new file mode 100644
index 00000000..4836071a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_3.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_3f.cpp b/src/boost/libs/math/src/tr1/ellint_3f.cpp
new file mode 100644
index 00000000..e876184b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_3f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/ellint_3l.cpp b/src/boost/libs/math/src/tr1/ellint_3l.cpp
new file mode 100644
index 00000000..999a8f79
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/ellint_3l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erf.cpp b/src/boost/libs/math/src/tr1/erf.cpp
new file mode 100644
index 00000000..d61f7f3f
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erf BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erfc.cpp b/src/boost/libs/math/src/tr1/erfc.cpp
new file mode 100644
index 00000000..dc6ab920
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erfc.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erfcf.cpp b/src/boost/libs/math/src/tr1/erfcf.cpp
new file mode 100644
index 00000000..c0d613aa
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erfcf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erfcl.cpp b/src/boost/libs/math/src/tr1/erfcl.cpp
new file mode 100644
index 00000000..e3eade3d
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erfcl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erff.cpp b/src/boost/libs/math/src/tr1/erff.cpp
new file mode 100644
index 00000000..2c112d17
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erff.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erf BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/erfl.cpp b/src/boost/libs/math/src/tr1/erfl.cpp
new file mode 100644
index 00000000..084ca2b6
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/erfl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::erf BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expint.cpp b/src/boost/libs/math/src/tr1/expint.cpp
new file mode 100644
index 00000000..0e7d938f
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expint.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expint.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expint BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expintf.cpp b/src/boost/libs/math/src/tr1/expintf.cpp
new file mode 100644
index 00000000..387ca7a8
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expintf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expint.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expint BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expintl.cpp b/src/boost/libs/math/src/tr1/expintl.cpp
new file mode 100644
index 00000000..a8651698
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expintl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expint.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expint BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expm1.cpp b/src/boost/libs/math/src/tr1/expm1.cpp
new file mode 100644
index 00000000..c50b9ebc
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expm1.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expm1f.cpp b/src/boost/libs/math/src/tr1/expm1f.cpp
new file mode 100644
index 00000000..fdefdeda
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expm1f.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/expm1l.cpp b/src/boost/libs/math/src/tr1/expm1l.cpp
new file mode 100644
index 00000000..ee19e4d6
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/expm1l.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/fmax.cpp b/src/boost/libs/math/src/tr1/fmax.cpp
new file mode 100644
index 00000000..c0f28b84
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fmax.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return  (std::max)(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/fmaxf.cpp b/src/boost/libs/math/src/tr1/fmaxf.cpp
new file mode 100644
index 00000000..856a929b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fmaxf.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return (std::max)(x, y);
+}
+
+
+
diff --git a/src/boost/libs/math/src/tr1/fmaxl.cpp b/src/boost/libs/math/src/tr1/fmaxl.cpp
new file mode 100644
index 00000000..4b5793e6
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fmaxl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return (std::max)(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/fmin.cpp b/src/boost/libs/math/src/tr1/fmin.cpp
new file mode 100644
index 00000000..afcb90a5
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fmin.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return (std::min)(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/fminf.cpp b/src/boost/libs/math/src/tr1/fminf.cpp
new file mode 100644
index 00000000..5332d780
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fminf.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return (std::min)(x, y);
+}
+
+
+
diff --git a/src/boost/libs/math/src/tr1/fminl.cpp b/src/boost/libs/math/src/tr1/fminl.cpp
new file mode 100644
index 00000000..4b985fce
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fminl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   if((boost::math::isnan)(x))
+      return y;
+   if((boost::math::isnan)(y))
+      return x;
+   return (std::min)(x, y);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/fpclassify.cpp b/src/boost/libs/math/src/tr1/fpclassify.cpp
new file mode 100644
index 00000000..454b6aa9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fpclassify.cpp
@@ -0,0 +1,56 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+#if defined (_MSC_VER)
+#  pragma warning(push)
+#  pragma warning (disable: 4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
+#endif
+
+namespace boost{ namespace math{ namespace tr1{
+
+template<> bool BOOST_MATH_TR1_DECL signbit<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return static_cast<bool>((boost::math::signbit)(x));
+}
+
+template<> int BOOST_MATH_TR1_DECL fpclassify<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return (boost::math::fpclassify)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isfinite<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return (boost::math::isfinite)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isinf<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return (boost::math::isinf)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnan<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return (boost::math::isnan)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnormal<double> BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+{
+   return (boost::math::isnormal)(x);
+}
+
+}}} // namespace boost{ namespace math{ namespace tr1{
+
+#if defined (_MSC_VER)
+#  pragma warning(pop)
+#endif
diff --git a/src/boost/libs/math/src/tr1/fpclassifyf.cpp b/src/boost/libs/math/src/tr1/fpclassifyf.cpp
new file mode 100644
index 00000000..cdf1c07e
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fpclassifyf.cpp
@@ -0,0 +1,58 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+#if defined (_MSC_VER)
+#  pragma warning(push)
+#  pragma warning (disable: 4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
+#endif
+
+namespace boost{ namespace math{ namespace tr1{
+
+template<> bool BOOST_MATH_TR1_DECL signbit<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return static_cast<bool>((boost::math::signbit)(x));
+}
+
+template<> int BOOST_MATH_TR1_DECL fpclassify<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return (boost::math::fpclassify)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isfinite<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return (boost::math::isfinite)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isinf<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return (boost::math::isinf)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnan<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return (boost::math::isnan)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnormal<float> BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+{
+   return (boost::math::isnormal)(x);
+}
+
+}}} // namespace boost{ namespace math{ namespace tr1{
+
+#if defined (_MSC_VER)
+#  pragma warning(pop)
+#endif
+
+
diff --git a/src/boost/libs/math/src/tr1/fpclassifyl.cpp b/src/boost/libs/math/src/tr1/fpclassifyl.cpp
new file mode 100644
index 00000000..17720178
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/fpclassifyl.cpp
@@ -0,0 +1,57 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include "c_policy.hpp"
+
+#if defined (_MSC_VER)
+#  pragma warning(push)
+#  pragma warning (disable: 4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
+#endif
+
+namespace boost{ namespace math{ namespace tr1{
+
+template<> bool BOOST_MATH_TR1_DECL signbit<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return static_cast<bool>((boost::math::signbit)(x));
+}
+
+template<> int BOOST_MATH_TR1_DECL fpclassify<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return (boost::math::fpclassify)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isfinite<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return (boost::math::isfinite)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isinf<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return (boost::math::isinf)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnan<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return (boost::math::isnan)(x);
+}
+
+template<> bool BOOST_MATH_TR1_DECL isnormal<long double> BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+{
+   return (boost::math::isnormal)(x);
+}
+
+}}} // namespace boost{ namespace math{ namespace tr1{
+
+#if defined (_MSC_VER)
+#  pragma warning(pop)
+#endif
+
diff --git a/src/boost/libs/math/src/tr1/hermite.cpp b/src/boost/libs/math/src/tr1/hermite.cpp
new file mode 100644
index 00000000..0fe30fb5
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hermite.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/hermitef.cpp b/src/boost/libs/math/src/tr1/hermitef.cpp
new file mode 100644
index 00000000..3648c05e
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hermitef.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/hermitel.cpp b/src/boost/libs/math/src/tr1/hermitel.cpp
new file mode 100644
index 00000000..55befe96
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hermitel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/hypot.cpp b/src/boost/libs/math/src/tr1/hypot.cpp
new file mode 100644
index 00000000..9ed1f7a1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hypot.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hypot.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/hypotf.cpp b/src/boost/libs/math/src/tr1/hypotf.cpp
new file mode 100644
index 00000000..79239bfd
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hypotf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hypot.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/hypotl.cpp b/src/boost/libs/math/src/tr1/hypotl.cpp
new file mode 100644
index 00000000..ee162757
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/hypotl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/hypot.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/laguerre.cpp b/src/boost/libs/math/src/tr1/laguerre.cpp
new file mode 100644
index 00000000..4237c3f8
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/laguerre.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/laguerref.cpp b/src/boost/libs/math/src/tr1/laguerref.cpp
new file mode 100644
index 00000000..843e6e2b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/laguerref.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/laguerrel.cpp b/src/boost/libs/math/src/tr1/laguerrel.cpp
new file mode 100644
index 00000000..76b35342
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/laguerrel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/legendre.cpp b/src/boost/libs/math/src/tr1/legendre.cpp
new file mode 100644
index 00000000..d5c0e775
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/legendre.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/legendref.cpp b/src/boost/libs/math/src/tr1/legendref.cpp
new file mode 100644
index 00000000..90836271
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/legendref.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/legendrel.cpp b/src/boost/libs/math/src/tr1/legendrel.cpp
new file mode 100644
index 00000000..491b3f2a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/legendrel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::legendre_p BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/lgamma.cpp b/src/boost/libs/math/src/tr1/lgamma.cpp
new file mode 100644
index 00000000..e3c33be5
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lgamma.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/lgammaf.cpp b/src/boost/libs/math/src/tr1/lgammaf.cpp
new file mode 100644
index 00000000..a58040c7
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lgammaf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/lgammal.cpp b/src/boost/libs/math/src/tr1/lgammal.cpp
new file mode 100644
index 00000000..611656bf
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lgammal.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/llround.cpp b/src/boost/libs/math/src/tr1/llround.cpp
new file mode 100644
index 00000000..e4212d11
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/llround.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" boost::long_long_type BOOST_MATH_TR1_DECL boost_llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/llroundf.cpp b/src/boost/libs/math/src/tr1/llroundf.cpp
new file mode 100644
index 00000000..c7dd06ee
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/llroundf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/llroundl.cpp b/src/boost/libs/math/src/tr1/llroundl.cpp
new file mode 100644
index 00000000..fb9bf60b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/llroundl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/log1p.cpp b/src/boost/libs/math/src/tr1/log1p.cpp
new file mode 100644
index 00000000..230db26a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/log1p.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/log1pf.cpp b/src/boost/libs/math/src/tr1/log1pf.cpp
new file mode 100644
index 00000000..2ca85648
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/log1pf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/log1pl.cpp b/src/boost/libs/math/src/tr1/log1pl.cpp
new file mode 100644
index 00000000..36f95922
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/log1pl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/lround.cpp b/src/boost/libs/math/src/tr1/lround.cpp
new file mode 100644
index 00000000..ae42dba3
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lround.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long BOOST_MATH_TR1_DECL boost_lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/lroundf.cpp b/src/boost/libs/math/src/tr1/lroundf.cpp
new file mode 100644
index 00000000..747a4d44
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lroundf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long BOOST_MATH_TR1_DECL boost_lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/lroundl.cpp b/src/boost/libs/math/src/tr1/lroundl.cpp
new file mode 100644
index 00000000..95fab0a8
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/lroundl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long BOOST_MATH_TR1_DECL boost_lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::lround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nextafter.cpp b/src/boost/libs/math/src/tr1/nextafter.cpp
new file mode 100644
index 00000000..008d8aae
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nextafter.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nextafterf.cpp b/src/boost/libs/math/src/tr1/nextafterf.cpp
new file mode 100644
index 00000000..784a1c7b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nextafterf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nextafterl.cpp b/src/boost/libs/math/src/tr1/nextafterl.cpp
new file mode 100644
index 00000000..e1cba3f1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nextafterl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nexttoward.cpp b/src/boost/libs/math/src/tr1/nexttoward.cpp
new file mode 100644
index 00000000..7ce4e0ab
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nexttoward.cpp
@@ -0,0 +1,27 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   return  c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, (double)y);
+#else
+   return  (double)c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION((long double)x, y);
+#endif
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nexttowardf.cpp b/src/boost/libs/math/src/tr1/nexttowardf.cpp
new file mode 100644
index 00000000..ea7b83c5
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nexttowardf.cpp
@@ -0,0 +1,27 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   return  (float)c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION((double)x, (double)y);
+#else
+   return  (float)c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION((long double)x, y);
+#endif
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/nexttowardl.cpp b/src/boost/libs/math/src/tr1/nexttowardl.cpp
new file mode 100644
index 00000000..6e1ddb05
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/nexttowardl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/pch.hpp b/src/boost/libs/math/src/tr1/pch.hpp
new file mode 100644
index 00000000..ad6a0df9
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/pch.hpp
@@ -0,0 +1,12 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_TR1_SOURCE
+#include <boost/math/special_functions.hpp>
+
+#endif
+
diff --git a/src/boost/libs/math/src/tr1/riemann_zeta.cpp b/src/boost/libs/math/src/tr1/riemann_zeta.cpp
new file mode 100644
index 00000000..56fa0936
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/riemann_zeta.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::zeta BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/riemann_zetaf.cpp b/src/boost/libs/math/src/tr1/riemann_zetaf.cpp
new file mode 100644
index 00000000..1635b7a2
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/riemann_zetaf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::zeta BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/riemann_zetal.cpp b/src/boost/libs/math/src/tr1/riemann_zetal.cpp
new file mode 100644
index 00000000..a68ccb09
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/riemann_zetal.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::zeta BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/round.cpp b/src/boost/libs/math/src/tr1/round.cpp
new file mode 100644
index 00000000..b61f901e
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/round.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_round BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::round BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/roundf.cpp b/src/boost/libs/math/src/tr1/roundf.cpp
new file mode 100644
index 00000000..f647625d
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/roundf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::round BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/roundl.cpp b/src/boost/libs/math/src/tr1/roundl.cpp
new file mode 100644
index 00000000..1554956a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/roundl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::round BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_bessel.cpp b/src/boost/libs/math/src/tr1/sph_bessel.cpp
new file mode 100644
index 00000000..1a24a9d7
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_bessel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_besself.cpp b/src/boost/libs/math/src/tr1/sph_besself.cpp
new file mode 100644
index 00000000..06ab66af
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_besself.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_bessell.cpp b/src/boost/libs/math/src/tr1/sph_bessell.cpp
new file mode 100644
index 00000000..a93795d1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_bessell.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_legendre.cpp b/src/boost/libs/math/src/tr1/sph_legendre.cpp
new file mode 100644
index 00000000..e281220a
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_legendre.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return  (m & 1 ? -1 : 1) * c_policies::spherical_harmonic_r BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x, 0.0);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_legendref.cpp b/src/boost/libs/math/src/tr1/sph_legendref.cpp
new file mode 100644
index 00000000..329aba82
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_legendref.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return  (m & 1 ? -1 : 1) * c_policies::spherical_harmonic_r BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x, 0.0f);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_legendrel.cpp b/src/boost/libs/math/src/tr1/sph_legendrel.cpp
new file mode 100644
index 00000000..d42492c1
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_legendrel.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return  (m & 1 ? -1 : 1) * c_policies::spherical_harmonic_r BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x, 0.0L);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_neumann.cpp b/src/boost/libs/math/src/tr1/sph_neumann.cpp
new file mode 100644
index 00000000..3adba76f
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_neumann.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" double BOOST_MATH_TR1_DECL boost_sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_neumannf.cpp b/src/boost/libs/math/src/tr1/sph_neumannf.cpp
new file mode 100644
index 00000000..af51473b
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_neumannf.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" float BOOST_MATH_TR1_DECL boost_sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/sph_neumannl.cpp b/src/boost/libs/math/src/tr1/sph_neumannl.cpp
new file mode 100644
index 00000000..1fc7a4e8
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/sph_neumannl.cpp
@@ -0,0 +1,19 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "c_policy.hpp"
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, x);
+}
+
+
diff --git a/src/boost/libs/math/src/tr1/tgamma.cpp b/src/boost/libs/math/src/tr1/tgamma.cpp
new file mode 100644
index 00000000..dfb407be
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/tgamma.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/tgammaf.cpp b/src/boost/libs/math/src/tr1/tgammaf.cpp
new file mode 100644
index 00000000..a19ef047
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/tgammaf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/tgammal.cpp b/src/boost/libs/math/src/tr1/tgammal.cpp
new file mode 100644
index 00000000..7a67273c
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/tgammal.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/trunc.cpp b/src/boost/libs/math/src/tr1/trunc.cpp
new file mode 100644
index 00000000..50498305
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/trunc.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" double BOOST_MATH_TR1_DECL boost_trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/truncf.cpp b/src/boost/libs/math/src/tr1/truncf.cpp
new file mode 100644
index 00000000..c0057658
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/truncf.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" float BOOST_MATH_TR1_DECL boost_truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/src/tr1/truncl.cpp b/src/boost/libs/math/src/tr1/truncl.cpp
new file mode 100644
index 00000000..9a469c36
--- /dev/null
+++ b/src/boost/libs/math/src/tr1/truncl.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0.  (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#  include <pch.hpp>
+#ifndef BOOST_MATH_TR1_SOURCE
+#  define BOOST_MATH_TR1_SOURCE
+#endif
+#include <boost/math/tr1.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include "c_policy.hpp"
+
+namespace boost{ namespace math{ namespace tr1{
+
+extern "C" long double BOOST_MATH_TR1_DECL boost_truncl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC
+{
+   return c_policies::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(x);
+}
+
+}}}
+
+
diff --git a/src/boost/libs/math/test/Jamfile.v2 b/src/boost/libs/math/test/Jamfile.v2
new file mode 100644
index 00000000..785dc779
--- /dev/null
+++ b/src/boost/libs/math/test/Jamfile.v2
@@ -0,0 +1,1358 @@
+# Copyright Daryle Walker, Hubert Holin, John Maddock 2006 - 2007
+# copyright Paul A. Bristow 2006 - 2010
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\test\jamfile.v2
+# Runs all math toolkit tests, functions & distributions,
+# and build math examples.
+
+# bring in the rules for testing
+import testing ;
+import modules ;
+import path ;
+import pch ;
+import ../../config/checks/config : requires ;
+
+local ntl-path = [ modules.peek : NTL_PATH ] ;
+local gmp_path = [ modules.peek : GMP_PATH ] ;
+local e_float_path = [ modules.peek : E_FLOAT_PATH ] ;
+
+#
+# PCH support is broken when --remove-test-targets is specified on the command
+# line.  Disable it until someone fixes this.
+#
+local remove-test-targets = [ MATCH (--remove-test-targets) : [ modules.peek : ARGV ] ] ;
+
+if $(remove-test-targets)
+{
+   OBJ_REMOVAL_OPTIONS = <pch>off ;
+}
+
+obj no_eh : noeh_support.cpp ;
+
+
+project
+    : requirements
+      $(OBJ_REMOVAL_OPTIONS)
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo
+      <toolset>intel-win:<linkflags>-nologo
+      #<toolset>intel-linux:<pch>off
+      <toolset>intel-darwin:<pch>off
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4511 # copy constructor could not be generated
+      <toolset>msvc:<cxxflags>/wd4512
+      <toolset>msvc:<cxxflags>/wd4610
+      <toolset>msvc:<cxxflags>/wd4510
+      <toolset>msvc:<cxxflags>/wd4127
+      <toolset>msvc:<cxxflags>/wd4459
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <toolset>msvc:<cxxflags>/wd4189 # local variable is initialized but not referenced
+      <toolset>msvc-7.1:<source>../vc71_fix//vc_fix
+      <toolset>msvc-7.1:<pch>off
+      <toolset>clang-6.0.0:<pch>off  # added to see effect.
+      <toolset>gcc,<target-os>windows:<pch>off
+      <toolset>borland:<runtime-link>static
+      # <toolset>msvc:<cxxflags>/wd4506 has no effect?
+      # suppress xstring(237) : warning C4506: no definition for inline function
+      <include>../../..
+      <source>../../regex/build//boost_regex
+      <exception-handling>off:<source>no_eh
+      <link>shared:<define>BOOST_REGEX_DYN_LINK=1
+      # For simplicities sake, make everything a static lib:
+      <link>static
+      <define>BOOST_ALL_NO_LIB=1
+      <define>BOOST_UBLAS_UNSUPPORTED_COMPILER=0
+      <include>.
+      <include>../include_private
+      <include>$(ntl-path)/include
+      <include>$(e_float_path)
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx <include>$(gmp_path)/mpfrc++
+      <search>$(gmp_path)
+      <search>$(mpfr_path)
+      <search>$(mpfr_path)/build.vc10/lib/Win32/Debug
+    ;
+
+if $(ntl-path)
+{
+   lib ntl : [ GLOB $(ntl-path)/src : *.cpp ] ;
+}
+else
+{
+   lib ntl ;
+}
+
+explicit ntl ;
+
+cpp-pch pch : pch.hpp : <use>../../test/build//boost_unit_test_framework ;
+cpp-pch pch_light : pch_light.hpp : <use>../../test/build//boost_unit_test_framework ;
+lib compile_test_main : compile_test/main.cpp ;
+
+test-suite special_fun :
+   [ run test_1F0.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] ] # hypergeometric_pFq_checked_series.hpp uses auto, the rest are from quadrature tests.
+   [ run test_2F0.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=1 : test_0F1_1 ]
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 : test_0F1_2 ]
+
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=1 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_integrals ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_float ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_double ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_long_double ]
+
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_float ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_double ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_long_double ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_real_concept ]
+   #  These are slow...
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_float ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_double ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_long_double ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_real_concept ]
+   # pFq:
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_float ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_double ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_long_double ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_real_concept ]
+
+
+   [ run hypot_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ]
+   [ run pow_test.cpp ../../test/build//boost_unit_test_framework ]
+   [ run log1p_expm1_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run powm1_sqrtp1m1_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run special_functions_test.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_airy.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_j.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_y.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_i.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_k.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_j_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_y_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_i_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_k_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_beta.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_airy_zeros.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_bernoulli_constants.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_binomial_coeff.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST1
+        : test_carlson_1  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST2
+      : test_carlson_2  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST3
+        : test_carlson_3  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST4
+        : test_carlson_4  ]
+   [ run test_cbrt.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_difference.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_digamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_1.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_2.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_3.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_d.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_jacobi_zeta.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_heuman_lambda.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_erf.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_expint.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_factorials.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma_mp.cpp ../../test/build//boost_unit_test_framework : : : release ]
+   [ run test_hankel.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_hermite.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_float  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_double  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_long_double  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept1  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept2  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept3  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept4  ]
+
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_float  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_double  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_long_double  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept1  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept2  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept3  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept4  ]
+
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_float  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_double  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_long_double  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept1  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept2  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept3  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept4  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_float  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_double  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_long_double  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept1  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept2  ]
+   [ run test_ibeta_inv_ab.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept3  ]
+   [ run test_igamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_igamma_inv.cpp test_instances//test_instances pch_light  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_igamma_inv_float  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inv_double  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inv_long_double  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_igamma_inv_real_concept  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_igamma_inva_float  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inva_double  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+      : test_igamma_inva_long_double  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_igamma_inva_real_concept  ]
+   [ run test_instantiate1.cpp test_instantiate2.cpp  ]
+   [ run test_jacobi.cpp pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_laguerre.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=1  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_1 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=2  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_2 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=3  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_3 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=4 <define>BOOST_MATH_TEST_FLOAT128 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_4 ]
+   [ run test_lambert_w_integrals_float128.cpp ../../test/build//boost_unit_test_framework : : : release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" : <build>no ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_quad.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+   [ run test_lambert_w_integrals_long_double.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_double.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_float.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_derivative.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+
+   [ run test_legendre.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+   [ run chebyshev_test.cpp  : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3f : : : <define>TEST1 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_1 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3 : : : <define>TEST2 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_2 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3l : : : <define>TEST3 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_3 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3q ../config//quadmath : : : <define>TEST4 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] [ check-target-builds ../config//has_float128 "__float128" : : <build>no ] : chebyshev_transform_test_4 ]
+
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3f : : : <define>TEST1 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_1 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3 : : : <define>TEST2 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_2 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3l : : : <define>TEST3 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_3 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3q ../config//quadmath : : : <define>TEST4 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] [ check-target-builds ../config//has_float128 "__float128" : : <build>no ] : cardinal_trigonometric_test_4 ]
+
+
+   [ run test_ldouble_simple.cpp ../../test/build//boost_unit_test_framework  ]
+   # Needs to run in release mode, as it's rather slow:
+   [ run test_next.cpp pch ../../test/build//boost_unit_test_framework : : : release  ]
+   [ run test_next_decimal.cpp pch ../../test/build//boost_unit_test_framework : : : release  ]
+   [ run test_owens_t.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_polygamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_trigamma.cpp test_instances//test_instances ../../test/build//boost_unit_test_framework  ]
+   [ run test_round.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_spherical_harmonic.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_sign.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_tgamma_ratio.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_trig.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_zeta.cpp ../../test/build//boost_unit_test_framework test_instances//test_instances pch_light  ]
+   [ run test_sinc.cpp ../../test/build//boost_unit_test_framework pch_light ]
+;
+
+test-suite distribution_tests :
+   [ run test_arcsine.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_bernoulli.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_beta_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_binomial_float  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_binomial_double  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_binomial_long_double  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=0
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept0  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=1
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept1  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=2
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept2  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=3
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept3  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=4
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept4  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=5
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept5  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=6
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept6  ]
+   [ run test_cauchy.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_chi_squared.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_dist_overloads.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_exponential_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_extreme_value.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_find_location.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_find_scale.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_fisher_f.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma_dist.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_geometric.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_hyperexponential_dist.cpp ../../test/build//boost_unit_test_framework ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=0
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist0  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=1
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist1  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=2
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist2  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=3
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist3  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=4
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist4  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=5
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist5  ]
+   [ run test_inverse_chi_squared_distribution.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inverse_gamma_distribution.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inverse_gaussian.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_laplace.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inv_hyp.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_logistic_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lognormal.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_negative_binomial_float  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_negative_binomial_double  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_negative_binomial_long_double  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_negative_binomial_real_concept  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_float  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_double  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_long_double  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_real_concept  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_beta_float  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_beta_double  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_beta_long_double  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_nc_beta_real_concept1  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_nc_beta_real_concept2  ]
+   [ run test_nc_f.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_t_float  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_t_double  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_t_long_double  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_nc_t_real_concept  ]
+   [ run test_normal.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_pareto.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_poisson.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_poisson_float  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_poisson_double  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_poisson_long_double  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_poisson_real_concept  ]
+   [ run test_rayleigh.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_students_t.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_skew_normal.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_trapezoidal.cpp ../../test/build//boost_unit_test_framework : : :
+         release [ requires cxx11_lambdas cxx11_auto_declarations cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ]
+         [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+   [ run test_triangular.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_uniform.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_weibull.cpp ../../test/build//boost_unit_test_framework  ]
+
+   [ run  compile_test/dist_bernoulli_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_binomial_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_cauchy_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_chi_squared_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_complement_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_exponential_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_extreme_val_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_find_location_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_find_scale_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_fisher_f_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_inv_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_inv_chi_sq_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_hyperexponential_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_hypergeo_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_laplace_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_logistic_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_lognormal_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_neg_binom_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_chi_squ_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_f_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_normal_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_poisson_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_students_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_triangular_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_uniform_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_weibull_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/distribution_concept_check.cpp  ]
+
+   [ run test_legacy_nonfinite.cpp ../../test/build//boost_unit_test_framework ]
+   [ run test_basic_nonfinite.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lexical_cast.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_nonfinite_trap.cpp ../../test/build//boost_unit_test_framework : : : <exception-handling>off:<build>no  ]
+   [ run test_signed_zero.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run complex_test.cpp ../../test/build//boost_unit_test_framework  ]
+   #
+   # Moved from misc for load balancing reasons:
+   #
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST1 : test_polynomial_1  ]
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST2 : test_polynomial_2  ]
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST3 : test_polynomial_3  ]
+   [ run polynomial_concept_check.cpp ]
+
+   [ compile multiprc_concept_check_1.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_2.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_3.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_4.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile ntl_concept_check.cpp : [ check-target-builds ../config//has_ntl_rr : : <build>no ] <debug-symbols>off  ]
+   [ compile mpfr_concept_check.cpp : [ check-target-builds ../config//has_mpfr_class : : <build>no ] <debug-symbols>off  ]
+   [ compile mpreal_concept_check.cpp : [ check-target-builds ../config//has_mpreal : : <build>no ] <debug-symbols>off  ]
+   [ compile e_float_concept_check.cpp : [ check-target-builds ../config//has_e_float : : <build>no ] <debug-symbols>off  ]
+
+;
+
+test-suite misc :
+   [ run test_tr1.cpp
+   ../build//boost_math_tr1
+   ../build//boost_math_tr1f
+   ../build//boost_math_c99
+   ../build//boost_math_c99f
+   ../../test/build//boost_unit_test_framework
+     ]
+
+   [ run test_tr1.cpp
+      ../build//boost_math_tr1l
+      ../build//boost_math_c99l
+      ../../test/build//boost_unit_test_framework
+      : : :
+      <define>TEST_LD=1
+      [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+      :
+      test_tr1_long_double
+     ]
+
+   [ run test_tr1.c
+      ../build//boost_math_tr1
+      ../build//boost_math_tr1f
+      ../build//boost_math_c99
+      ../build//boost_math_c99f
+      ../../test/build//boost_unit_test_framework
+      : : : #requirements
+      :
+      test_tr1_c
+    ]
+
+   [ run test_tr1.c
+      ../build//boost_math_tr1l
+      ../build//boost_math_c99l
+      ../../test/build//boost_unit_test_framework
+      : : :
+      <define>TEST_LD=1
+      [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+      :
+      test_tr1_c_long_double
+    ]
+   [ run test_constants.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_classify.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_error_handling.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run legendre_stieltjes_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]  ]
+   [ run test_minima.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_rationals.cpp ../../test/build//boost_unit_test_framework
+      test_rational_instances/test_rational_double1.cpp
+      test_rational_instances/test_rational_double2.cpp
+      test_rational_instances/test_rational_double3.cpp
+      test_rational_instances/test_rational_double4.cpp
+      test_rational_instances/test_rational_double5.cpp
+      test_rational_instances/test_rational_float1.cpp
+      test_rational_instances/test_rational_float2.cpp
+      test_rational_instances/test_rational_float3.cpp
+      test_rational_instances/test_rational_float4.cpp
+      test_rational_instances/test_rational_ldouble1.cpp
+      test_rational_instances/test_rational_ldouble2.cpp
+      test_rational_instances/test_rational_ldouble3.cpp
+      test_rational_instances/test_rational_ldouble4.cpp
+      test_rational_instances/test_rational_ldouble5.cpp
+      test_rational_instances/test_rational_real_concept1.cpp
+      test_rational_instances/test_rational_real_concept2.cpp
+      test_rational_instances/test_rational_real_concept3.cpp
+      test_rational_instances/test_rational_real_concept4.cpp
+      test_rational_instances/test_rational_real_concept5.cpp
+   ]
+   [ run test_policy.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_2.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_3.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_4.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_5.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_6.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_7.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_8.cpp ../../test/build//boost_unit_test_framework  ]
+   [ compile test_policy_9.cpp  ]
+   [ run test_policy_sf.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_long_double_support.cpp ../../test/build//boost_unit_test_framework
+      : : : [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ] ]
+   [ run test_recurrence.cpp : : : <define>TEST=1 [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ] <toolset>msvc:<cxxflags>/bigobj : test_recurrence_1 ]
+   [ run test_recurrence.cpp : : : <define>TEST=2 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ]  : test_recurrence_2 ]
+   [ run test_recurrence.cpp : : : <define>TEST=3 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ]  : test_recurrence_3 ]
+
+   [ run test_print_info_on_type.cpp  ]
+   [ run test_barycentric_rational.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]  ]
+   [ run test_vector_barycentric_rational.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ]  [ check-target-builds ../../multiprecision/config//has_eigen : : <build>no ] ]
+   [ run cardinal_cubic_b_spline_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release ]
+   [ run cardinal_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run jacobi_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run gegenbauer_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run whittaker_shannon_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] ]
+   [ run cardinal_quadratic_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] ]
+   [ run cardinal_quintic_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=1 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_1 ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=2 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_2 ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=3 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_3 ]
+   [ run compile_test/catmull_rom_incl_test.cpp compile_test_main  : : : [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] ]
+   [ run compile_test/catmull_rom_concept_test.cpp compile_test_main   : : : [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] ]
+   [ run ooura_fourier_integral_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run univariate_statistics_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run empirical_cumulative_distribution_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run norms_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run signal_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run anderson_darling_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run ljung_box_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_t_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run bivariate_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_runs_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run lanczos_smoothing_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run condition_number_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_real_concept.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_remez.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_roots.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_root_iterations.cpp pch ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_tuple ]  ]
+   [ run test_root_finding_concepts.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_toms748_solve.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run  compile_test/cubic_spline_incl_test.cpp compile_test_main : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations ]  ]
+   [ run  compile_test/barycentric_rational_incl_test.cpp compile_test_main : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ]  ]
+   [ run  compile_test/compl_abs_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_acos_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_acosh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_asin_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_asinh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_atan_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_atanh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bernoulli_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bessel_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bessel_deriv_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_binomial_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_cbrt_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_cos_pi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_digamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_polygamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_2_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_3_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_d_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_jacobi_zeta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_heuman_lambda_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rd_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rj_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rg_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_erf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_expint_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_expm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_factorials_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_fpclassify_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hermite_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hypot_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_laguerre_incl_test.cpp compile_test_main  ]
+   [ compile  compile_test/sf_lanczos_incl_test.cpp  ]
+   [ run  compile_test/sf_legendre_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_legendre_stieltjes_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations ]  ]
+   [ run  compile_test/sf_log1p_incl_test.cpp compile_test_main  ]
+   [ compile  compile_test/sf_math_fwd_incl_test.cpp  ]
+   [ run  compile_test/sf_modf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_next_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_powm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_prime_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_relative_distance_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_round_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sign_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sin_pi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sinc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sinhc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sph_harm_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sqrt1pm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_trunc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ulp_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_zeta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/std_real_concept_check.cpp  ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE32 : std_real_concept_check_32 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE64 : std_real_concept_check_64 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE80 : std_real_concept_check_80 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE128 : std_real_concept_check_128 ]
+   [ run  compile_test/cstdfloat_concept_check_1.cpp
+      : : : [ check-target-builds ../config//has_intel_quad "Intel _Quad datatype support" : <cxxflags>-Qoption,cpp,--extended_float_type ]
+            [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run  compile_test/cstdfloat_concept_check_2.cpp  ]
+   [ run  compile_test/cstdfloat_concept_check_3.cpp  ]
+   [ run  compile_test/cstdfloat_concept_check_4.cpp  ]
+   [ run  test_cstdfloat.cpp ../../test/build//boost_unit_test_framework  : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run  compile_test/sf_airy_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hankel_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_jacobi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_owens_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_skew_norm_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/constants_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/trapezoidal_incl_test.cpp compile_test_main  : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ] ]
+   [ compile  compile_test/test_traits.cpp  ]
+   [ compile  compile_test/tools_config_inc_test.cpp  ]
+   [ compile  compile_test/tools_fraction_inc_test.cpp  ]
+   [ compile  compile_test/tools_minima_inc_test.cpp  ]
+   [ compile  compile_test/tools_polynomial_inc_test.cpp  ]
+   [ compile  compile_test/tools_precision_inc_test.cpp  ]
+   [ compile  compile_test/tools_rational_inc_test.cpp  ]
+   [ compile  compile_test/tools_real_cast_inc_test.cpp  ]
+   [ compile  compile_test/tools_remez_inc_test.cpp  ]
+   [ compile  compile_test/tools_roots_inc_test.cpp  ]
+   [ compile  compile_test/tools_series_inc_test.cpp  ]
+   [ compile  compile_test/tools_solve_inc_test.cpp  ]
+   [ compile  compile_test/tools_stats_inc_test.cpp  ]
+   [ compile  compile_test/tools_test_data_inc_test.cpp  ]
+   [ compile  compile_test/tools_test_inc_test.cpp  ]
+   [ compile  compile_test/tools_toms748_inc_test.cpp  ]
+   [ compile  compile_test/cubic_spline_concept_test.cpp :  [ requires cxx11_smart_ptr cxx11_defaulted_functions ]  ]
+   [ compile  compile_test/barycentric_rational_concept_test.cpp :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_unified_initialization_syntax ]  ]
+   [ compile  compile_test/sf_legendre_stieltjes_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_defaulted_functions cxx11_lambdas ]   ]
+   [ compile  compile_test/trapezoidal_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ] ]
+   [ run octonion_test.cpp
+       ../../test/build//boost_unit_test_framework ]
+   [ run quaternion_constexpr_test.cpp ]
+   [ run quaternion_test.cpp
+       ../../test/build//boost_unit_test_framework : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run quaternion_mult_incl_test.cpp
+       quaternion_mi1.cpp
+       quaternion_mi2.cpp
+       ../../test/build//boost_unit_test_framework ]
+
+   [ run __temporary_test.cpp test_instances//test_instances : : : <test-info>always_show_run_output <pch>off ]
+;
+
+test-suite quadrature :
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST1B [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1b ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_2 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST2A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_2a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_3 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST3A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_3a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST4 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_4 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST5 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_5 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST6 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_6 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST6A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_6a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST7 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_7 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST8 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_8 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST9
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_9 ]
+
+   [ run sinh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_1 ]
+
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_2 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_3 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST4 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_4 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST5 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_5 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST6 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_6 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST7 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_7 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST8 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_8 ]
+
+   [ run  compile_test/exp_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run  compile_test/sinh_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run  compile_test/tanh_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ compile  compile_test/exp_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile  compile_test/sinh_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile  compile_test/tanh_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+
+   [ run gauss_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_1 ]
+   [ run gauss_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_2 ]
+   [ run gauss_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_3 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_1 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_1a ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_2 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_3 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_1 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_1a ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_2 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_3 ]
+
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=1  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_1
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=2  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_2
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=3  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_3
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=4  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_4
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=5  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_5
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=6  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_6
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=7  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_7
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=8  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_8
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=9  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_9
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=10  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_10
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=11  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_11
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=12  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_12
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=13  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_13
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=14  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_14
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=15  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_15
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=16  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_16
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=17  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_17
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=18  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_18
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=19  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_19
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=20  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_20
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=21  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_21
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=22  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_22
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=23  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_23
+   ]
+   [ compile compile_test/naive_monte_carlo_incl_test.cpp ../../atomic/build//boost_atomic :
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread"
+   ]
+   [ compile compile_test/naive_monte_carlo_concept_test.cpp ../../atomic/build//boost_atomic :
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread"
+   ]
+
+   [ compile compile_test/gauss_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile compile_test/gauss_kronrod_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+
+   [ run test_numerical_differentiation.cpp ../../test/build//boost_unit_test_framework  : : : <toolset>msvc:<cxxflags>/bigobj [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ run  compile_test/numerical_differentiation_incl_test.cpp compile_test_main  : : : [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ compile  compile_test/numerical_differentiation_concept_test.cpp  : [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ run test_autodiff_1.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_2.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_3.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_4.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_5.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_6.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_7.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_8.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+;
+
+#
+#  These tests are run by default when you invoke the Jamfile, but
+#  they are deliberately NOT run from the CI scripts as they soak up
+#  too much time:
+#
+test-suite long-running-tests :
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] : test_0F1_3 ]
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release : test_0F1_4 ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_real_concept ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_quad ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_dec_40 ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_quad ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_dec_40 ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_quad ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_dec_40 ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_quad ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_dec_40 ]
+   [ run test_pFq_precision.cpp ../../test/build//boost_unit_test_framework /boost/system//boost_system /boost/chrono//boost_chrono : : : <linkflags>-lgmp <linkflags>-lmpfr [ check-target-builds ../config//has_mpfr : : <build>no ] [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] release <toolset>clang:<cxxflags>-Wno-literal-range ]
+   [ run test_constant_generate.cpp : : : release <define>USE_CPP_FLOAT=1 <exception-handling>off:<build>no  ]
+;
+
+build-project ../example ;
+# Expect policy_ref_snips13 to fail (message about no Cauchy Mean).
+
+
+rule get_float128_tests
+{
+     local result ;
+     for local source in [ glob float128/*.cpp ]
+     {
+         result += [ run $(source)
+            /boost/test//boost_unit_test_framework/<link>static
+            /boost/regex//boost_regex/<link>static
+           : # command line
+           : # input files
+           : # requirements
+            [ check-target-builds ../config//has_intel_quad "Intel _Quad datatype support" : <cxxflags>-Qoption,cpp,--extended_float_type <define>BOOST_MATH_USE_FLOAT128 ]
+            [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+            [ check-target-builds ../config//has_128bit_floatmax_t "128-bit floatmax_t" : : <build>no ]
+            <define>BOOST_ALL_NO_LIB
+           : $(source:B)_floatmax_t ] ;
+     }
+     return $(result) ;
+}
+
+test-suite float128_tests : [ get_float128_tests ] ;
diff --git a/src/boost/libs/math/test/__temporary_test.cpp b/src/boost/libs/math/test/__temporary_test.cpp
new file mode 100644
index 00000000..f9e82732
--- /dev/null
+++ b/src/boost/libs/math/test/__temporary_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2018
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+// This test file exists to output diagnostic info for tests failing in the online matrix
+// for perplexing reasons, it's contents are subject to constant change!!
+//
+#define BOOST_MATH_INSTRUMENT
+
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <iostream>
+
+int main()
+{
+   std::cout << "EllintD(1, -1) = " << std::setprecision(20) << boost::math::ellint_d(1.0, -1.0) << std::endl;
+   std::cout << "EllintD(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) = " << std::setprecision(20) << boost::math::ellint_d(6.4851474761962890625e-01, -7.6733188629150390625e+00) << std::endl;
+
+   std::cout << "EllintD(1, -1) = " << std::setprecision(20) << boost::math::ellint_d(1.0L, -1.0L) << std::endl;
+   std::cout << "EllintD(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) = " << std::setprecision(20) << boost::math::ellint_d(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) << std::endl;
+}
+
diff --git a/src/boost/libs/math/test/acosh_data.ipp b/src/boost/libs/math/test/acosh_data.ipp
new file mode 100644
index 00000000..bbee99f8
--- /dev/null
+++ b/src/boost/libs/math/test/acosh_data.ipp
@@ -0,0 +1,273 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 261> acosh_data = {{
+      {{ SC_(1.000001430511474609375), SC_(0.001691455665129294448190238354291760044433) }}, 
+      {{ SC_(1.0000019073486328125), SC_(0.001953124689559275021527821917817027620963) }}, 
+      {{ SC_(1.000007152557373046875), SC_(0.003782208044661295168504799813496158490314) }}, 
+      {{ SC_(1.000013828277587890625), SC_(0.005258943946801101349061072655743616330534) }}, 
+      {{ SC_(1.0000171661376953125), SC_(0.005859366618129202398694086527594451883545) }}, 
+      {{ SC_(1.00006008148193359375), SC_(0.0109618319921888517811096976159923461784) }}, 
+      {{ SC_(1.000116825103759765625), SC_(0.01528547213183042467192017645636643040682) }}, 
+      {{ SC_(1.000148773193359375), SC_(0.01724931909352987823311560583970196658141) }}, 
+      {{ SC_(1.000398159027099609375), SC_(0.02821817173865537359266716853098519889415) }}, 
+      {{ SC_(1.000638484954833984375), SC_(0.03573281468231456624811499142438796295686) }}, 
+      {{ SC_(1.001071453094482421875), SC_(0.04628740247287877599360006621134226755174) }}, 
+      {{ SC_(1.003021717071533203125), SC_(0.07771996527168971264969648279358369972575) }}, 
+      {{ SC_(1.004993915557861328125), SC_(0.09989759308602780434912638996550489375369) }}, 
+      {{ SC_(1.00928401947021484375), SC_(0.1361593876803246479600670434737716450022) }}, 
+      {{ SC_(1.024169921875), SC_(0.2194227900495835483852561715845842241518) }}, 
+      {{ SC_(1.062277317047119140625), SC_(0.3511165938166054588185413287563455693446) }}, 
+      {{ SC_(1.12234401702880859375), SC_(0.4897502671128818535428474267470966393752) }}, 
+      {{ SC_(1.2495574951171875), SC_(0.6925568837084910405419269283192900693752) }}, 
+      {{ SC_(1.491221904754638671875), SC_(0.9545305722214140465734705961617555409538) }}, 
+      {{ SC_(1.983847141265869140625), SC_(1.307581416910453029674373062377350125402) }}, 
+      {{ SC_(2.15761280059814453125), SC_(1.403518877974133434572205965467405839077) }}, 
+      {{ SC_(2.40639781951904296875), SC_(1.525007084542751786819384889715403191957) }}, 
+      {{ SC_(3.38695812225341796875), SC_(1.890537201307279875549078665860235683411) }}, 
+      {{ SC_(4.4516773223876953125), SC_(2.173567339994825397387431806918552342932) }}, 
+      {{ SC_(6.9391326904296875), SC_(2.625091127868242256287879402513352014572) }}, 
+      {{ SC_(7.756023406982421875), SC_(2.737434918695162165715461546271032662695) }}, 
+      {{ SC_(8.8823699951171875), SC_(2.874031716780194544439172840789924579634) }}, 
+      {{ SC_(9.869171142578125), SC_(2.979986393289490221624555712675426245527) }}, 
+      {{ SC_(16.848876953125), SC_(3.516549380542481075157493697729821147595) }}, 
+      {{ SC_(16.88458251953125), SC_(3.518670034680249794623612003576884164306) }}, 
+      {{ SC_(18.18859100341796875), SC_(3.593185165198828891634086870735797352995) }}, 
+      {{ SC_(18.82012176513671875), SC_(3.627367214296338506596699897092700261917) }}, 
+      {{ SC_(19.18418121337890625), SC_(3.646553244410946142822321573885913155251) }}, 
+      {{ SC_(24.039520263671875), SC_(3.872413451393967155852229598937671193827) }}, 
+      {{ SC_(26.5569915771484375), SC_(3.97208556893332931613088010770137243142) }}, 
+      {{ SC_(27.92110443115234375), SC_(4.022209178119237972634584536383754567227) }}, 
+      {{ SC_(32.314666748046875), SC_(4.168428891496629419926716002725343213186) }}, 
+      {{ SC_(34.7300872802734375), SC_(4.24054622986100481621284684937772318866) }}, 
+      {{ SC_(36.51556396484375), SC_(4.290698214968890417003449585503652329902) }}, 
+      {{ SC_(38.851287841796875), SC_(4.352722738491573736218790864551080662126) }}, 
+      {{ SC_(49.46875), SC_(4.59438616262944868606926670858880728888) }}, 
+      {{ SC_(49.6726531982421875), SC_(4.598500387004538200979463375829093317529) }}, 
+      {{ SC_(55.821014404296875), SC_(4.715217340185609026248077357993388963859) }}, 
+      {{ SC_(57.119781494140625), SC_(4.738221040019820009132180121068224048563) }}, 
+      {{ SC_(60.3798370361328125), SC_(4.793733825338028989056646578701956447074) }}, 
+      {{ SC_(63.4661865234375), SC_(4.843592376953016901945130034442741537681) }}, 
+      {{ SC_(63.822418212890625), SC_(4.849190310904695081724453083230505499) }}, 
+      {{ SC_(64.366424560546875), SC_(4.857678972284480806836897045666147581194) }}, 
+      {{ SC_(65.82318115234375), SC_(4.880061548144127001309581646898589070845) }}, 
+      {{ SC_(68.60302734375), SC_(4.921430721025434361496543279369773904556) }}, 
+      {{ SC_(70.173583984375), SC_(4.944068352080570156852448111271304401145) }}, 
+      {{ SC_(71.80126953125), SC_(4.967000841791218009854450984654955748527) }}, 
+      {{ SC_(75.407867431640625), SC_(5.016014824864731856945880331601344083118) }}, 
+      {{ SC_(75.497711181640625), SC_(5.017205657609766266706283982466292758789) }}, 
+      {{ SC_(78.06475830078125), SC_(5.050644871655082237287791451581061020693) }}, 
+      {{ SC_(79.64892578125), SC_(5.070736320140527520131044330827542555678) }}, 
+      {{ SC_(79.8707275390625), SC_(5.073517411135062274633407326047677797493) }}, 
+      {{ SC_(82.14324951171875), SC_(5.101574796209937553992594384708408566472) }}, 
+      {{ SC_(86.422149658203125), SC_(5.152357710985635411723269669070507384393) }}, 
+      {{ SC_(87.758697509765625), SC_(5.167705692500116617668438212039278403675) }}, 
+      {{ SC_(94.249420166015625), SC_(5.239063709802807411774762976165711451289) }}, 
+      {{ SC_(95.002593994140625), SC_(5.24702367651990363562135237922593081374) }}, 
+      {{ SC_(96.06402587890625), SC_(5.258134994273664228925894855596706922092) }}, 
+      {{ SC_(99.10101318359375), SC_(5.289261389093961411474730159621540149161) }}, 
+      {{ SC_(104.825958251953125), SC_(5.345425863147170918152692907733404160171) }}, 
+      {{ SC_(105.894317626953125), SC_(5.355566478724588805787125327460047194459) }}, 
+      {{ SC_(106.750244140625), SC_(5.363617180711894834893456209993366372702) }}, 
+      {{ SC_(109.40167236328125), SC_(5.388152468690488330936438928871930644775) }}, 
+      {{ SC_(111.295989990234375), SC_(5.40532022596301299871913818031312501789) }}, 
+      {{ SC_(112.682159423828125), SC_(5.417698597745428582703028438959417637741) }}, 
+      {{ SC_(115.847869873046875), SC_(5.445406415908932972979361284782173288771) }}, 
+      {{ SC_(122.518951416015625), SC_(5.501396249028249309478903043850515943644) }}, 
+      {{ SC_(126.29083251953125), SC_(5.531718947357248141901016725943097821463) }}, 
+      {{ SC_(127.88677978515625), SC_(5.544277233951786833046255699209839124282) }}, 
+      {{ SC_(128.29241943359375), SC_(5.547444176085567387868629933507681372844) }}, 
+      {{ SC_(129.49658203125), SC_(5.556786759298987489018162005929203901677) }}, 
+      {{ SC_(138.73651123046875), SC_(5.625710723366437130110566517151979116591) }}, 
+      {{ SC_(139.18450927734375), SC_(5.628934733085021889655473009134778907233) }}, 
+      {{ SC_(139.9705810546875), SC_(5.63456668505549125187745033695013277031) }}, 
+      {{ SC_(143.6336669921875), SC_(5.660401141376928390068911580516739480767) }}, 
+      {{ SC_(149.2176513671875), SC_(5.698541939965667319302405718431306124964) }}, 
+      {{ SC_(150.61602783203125), SC_(5.707869896181299042045964962097048877529) }}, 
+      {{ SC_(151.65460205078125), SC_(5.714741890601692470131657476637875234333) }}, 
+      {{ SC_(154.77532958984375), SC_(5.735111323217677235163096422075933590581) }}, 
+      {{ SC_(158.9586181640625), SC_(5.76178119164116056169664536557902282984) }}, 
+      {{ SC_(159.23260498046875), SC_(5.76350337802895912932271749968885321291) }}, 
+      {{ SC_(166.89166259765625), SC_(5.810483079631769347906173026231591180669) }}, 
+      {{ SC_(169.22418212890625), SC_(5.824362807770767372309724658583543187687) }}, 
+      {{ SC_(170.85247802734375), SC_(5.833939098607024938518744061528880726076) }}, 
+      {{ SC_(175.641845703125), SC_(5.861586030831371111277316749706184493497) }}, 
+      {{ SC_(176.47808837890625), SC_(5.866335876872543841804521246497450515591) }}, 
+      {{ SC_(177.0284423828125), SC_(5.869449614294116474831852726381675383803) }}, 
+      {{ SC_(178.81622314453125), SC_(5.879497954012966336157412623485146460234) }}, 
+      {{ SC_(181.28570556640625), SC_(5.893213844044450514365554597289542581697) }}, 
+      {{ SC_(190.84246826171875), SC_(5.944588630523773589353947366401268565142) }}, 
+      {{ SC_(191.39764404296875), SC_(5.94749352592071287963619396611460598163) }}, 
+      {{ SC_(194.2606201171875), SC_(5.962341215900494050109187978733428591562) }}, 
+      {{ SC_(194.89630126953125), SC_(5.965608227627600046293288118981009401155) }}, 
+      {{ SC_(196.72125244140625), SC_(5.974928484931286802822226328854017998272) }}, 
+      {{ SC_(196.76788330078125), SC_(5.97516550017620215691682414383193227447) }}, 
+      {{ SC_(198.0592041015625), SC_(5.981706804024238659640680772319516752432) }}, 
+      {{ SC_(199.97052001953125), SC_(5.991310884439669647644011374615753552043) }}, 
+      {{ SC_(202.70001220703125), SC_(6.004868209578553896003834136537443847497) }}, 
+      {{ SC_(204.95684814453125), SC_(6.015940689286515853596140406483086930665) }}, 
+      {{ SC_(206.92059326171875), SC_(6.025476453825986378650455090165700700781) }}, 
+      {{ SC_(211.4588623046875), SC_(6.047172064627678522672151564001319932574) }}, 
+      {{ SC_(211.6217041015625), SC_(6.047941864223159215142104276243607189411) }}, 
+      {{ SC_(212.15936279296875), SC_(6.050479329955437674042299338123601544698) }}, 
+      {{ SC_(219.93341064453125), SC_(6.086466833749718691309844243695794396376) }}, 
+      {{ SC_(223.34747314453125), SC_(6.101870903204913623855234973179987714517) }}, 
+      {{ SC_(228.56036376953125), SC_(6.12494274439855238424605675602915271015) }}, 
+      {{ SC_(229.53656005859375), SC_(6.129204755426344240698049588914342485212) }}, 
+      {{ SC_(231.15753173828125), SC_(6.136241935513705416652882857399712029477) }}, 
+      {{ SC_(235.22589111328125), SC_(6.153688953514382528837249519861026992294) }}, 
+      {{ SC_(237.17108154296875), SC_(6.16192447986332112027066888322817886098) }}, 
+      {{ SC_(237.904541015625), SC_(6.165012268502458223847465413629334545746) }}, 
+      {{ SC_(243.202392578125), SC_(6.187036941752031847781237018817248226575) }}, 
+      {{ SC_(244.296875), SC_(6.191527178125453588013362995547294190556) }}, 
+      {{ SC_(245.39239501953125), SC_(6.196001570568187444354689455736723305464) }}, 
+      {{ SC_(245.80389404296875), SC_(6.197677082130341298614824238362609944761) }}, 
+      {{ SC_(249.68365478515625), SC_(6.213337906126028634019511362668656048871) }}, 
+      {{ SC_(252.32763671875), SC_(6.223871642756904989009941455863848621693) }}, 
+      {{ SC_(253.4725341796875), SC_(6.228398760115368978419785861340394334949) }}, 
+      {{ SC_(264.1583251953125), SC_(6.269692237869834655812588535960729291645) }}, 
+      {{ SC_(265.867919921875), SC_(6.276143287577458434544566538806340395227) }}, 
+      {{ SC_(273.893798828125), SC_(6.305884283737175999056149819356227140283) }}, 
+      {{ SC_(274.060546875), SC_(6.306492908028796208195612980534832526609) }}, 
+      {{ SC_(274.06298828125), SC_(6.306501816321711306242744764166827854238) }}, 
+      {{ SC_(275.31201171875), SC_(6.311048924823309539122894248298646711515) }}, 
+      {{ SC_(281.2171630859375), SC_(6.332271212543191917887016682596127229871) }}, 
+      {{ SC_(284.3428955078125), SC_(6.343324976847916523668021506516982451804) }}, 
+      {{ SC_(284.8428955078125), SC_(6.345081883725142172010442438360996090607) }}, 
+      {{ SC_(287.3035888671875), SC_(6.353683609448095450690653155116609411345) }}, 
+      {{ SC_(290.8973388671875), SC_(6.366114643735996187010064226141367713494) }}, 
+      {{ SC_(293.0467529296875), SC_(6.373476431987165195009419682926258568514) }}, 
+      {{ SC_(293.048583984375), SC_(6.3734826803404046607923256022891007467) }}, 
+      {{ SC_(296.819091796875), SC_(6.386267177599691603449621482941540136447) }}, 
+      {{ SC_(297.6572265625), SC_(6.389086936901673374370938395043767464615) }}, 
+      {{ SC_(308.40625), SC_(6.424562459508494815578189029717236448261) }}, 
+      {{ SC_(316.5472412109375), SC_(6.450617177370153067374226847837008577358) }}, 
+      {{ SC_(320.2418212890625), SC_(6.462221144761522067224169792659123404149) }}, 
+      {{ SC_(322.33642578125), SC_(6.468740575092417615259160797033210213863) }}, 
+      {{ SC_(323.5101318359375), SC_(6.472375224718483717268648919441488851024) }}, 
+      {{ SC_(327.8939208984375), SC_(6.485834999462653559161623555380871809288) }}, 
+      {{ SC_(328.0833740234375), SC_(6.486412623146554512400295875149968123595) }}, 
+      {{ SC_(328.214599609375), SC_(6.486812521370483270051173204357170113696) }}, 
+      {{ SC_(332.13916015625), SC_(6.498698952535686590971725425771901435577) }}, 
+      {{ SC_(339.6888427734375), SC_(6.521175044233962334855405597829204127829) }}, 
+      {{ SC_(340.171630859375), SC_(6.522595306993372841176959822169835487203) }}, 
+      {{ SC_(340.22998046875), SC_(6.522766822935215301119395768816736464171) }}, 
+      {{ SC_(340.9984130859375), SC_(6.525022854134450397488249525584977969848) }}, 
+      {{ SC_(347.719482421875), SC_(6.544541182598698837108180066568285561192) }}, 
+      {{ SC_(347.921142578125), SC_(6.545120967585682780158986289403626335039) }}, 
+      {{ SC_(349.8392333984375), SC_(6.550618853671590396954212923343777795426) }}, 
+      {{ SC_(353.1812744140625), SC_(6.560126626713879038902701972848577987576) }}, 
+      {{ SC_(353.3170166015625), SC_(6.560510895819138848557847535694659145744) }}, 
+      {{ SC_(354.9730224609375), SC_(6.56518699003913475265728787337345634833) }}, 
+      {{ SC_(355.6412353515625), SC_(6.567067660815945254763768403011524099801) }}, 
+      {{ SC_(363.193603515625), SC_(6.588081320423385926941395650884632048324) }}, 
+      {{ SC_(363.7503662109375), SC_(6.589613116365141119507599520545813820205) }}, 
+      {{ SC_(366.66650390625), SC_(6.597598047275183820713128823864925712214) }}, 
+      {{ SC_(370.5828857421875), SC_(6.608222493065004674432923629831401595644) }}, 
+      {{ SC_(371.822998046875), SC_(6.611563301604297330780249554012149222974) }}, 
+      {{ SC_(375.8822021484375), SC_(6.622421213257872616605790226875280590718) }}, 
+      {{ SC_(377.1107177734375), SC_(6.625684248051367798967594517111734939065) }}, 
+      {{ SC_(377.588623046875), SC_(6.626950731244344518396423054010667385835) }}, 
+      {{ SC_(378.8428955078125), SC_(6.630267034079058832474904688332205765807) }}, 
+      {{ SC_(379.1123046875), SC_(6.630977920761718188663355128303457269644) }}, 
+      {{ SC_(381.1038818359375), SC_(6.636217452968849140199299619634845177402) }}, 
+      {{ SC_(382.1112060546875), SC_(6.63885714989915892916806173377813464616) }}, 
+      {{ SC_(382.9927978515625), SC_(6.641161660644278254856011296094169025726) }}, 
+      {{ SC_(387.1845703125), SC_(6.652047018118426624071335253039983067027) }}, 
+      {{ SC_(389.669921875), SC_(6.658445560711747733097363184134660374201) }}, 
+      {{ SC_(389.804443359375), SC_(6.658790721334144459483338624834811878532) }}, 
+      {{ SC_(396.3114013671875), SC_(6.675345858154136306174834824525273599533) }}, 
+      {{ SC_(397.005126953125), SC_(6.677094789236718239327386065258295745882) }}, 
+      {{ SC_(397.1934814453125), SC_(6.677569116668089765968288575699796076917) }}, 
+      {{ SC_(397.8046875), SC_(6.679106750673113062518913783394959687397) }}, 
+      {{ SC_(398.8426513671875), SC_(6.681712590609844816466059398426090860379) }}, 
+      {{ SC_(399.1663818359375), SC_(6.682523938576487571986006995202709018951) }}, 
+      {{ SC_(399.2547607421875), SC_(6.682745323455160373493982153327465350514) }}, 
+      {{ SC_(400.33984375), SC_(6.68545941647717813159478393220239518843) }}, 
+      {{ SC_(403.9578857421875), SC_(6.6944562778394978005276529277337054901) }}, 
+      {{ SC_(404.279541015625), SC_(6.69525222285407608719250824812439781544) }}, 
+      {{ SC_(405.0574951171875), SC_(6.697174677114241660699777628750006369949) }}, 
+      {{ SC_(407.328125), SC_(6.702764738337774266407206003201536960489) }}, 
+      {{ SC_(407.547119140625), SC_(6.703302231179959306927821131625588949855) }}, 
+      {{ SC_(410.5994873046875), SC_(6.710763953621196143396177253879091429692) }}, 
+      {{ SC_(410.8016357421875), SC_(6.711256159037372934708585809074885390587) }}, 
+      {{ SC_(411.129638671875), SC_(6.712054288828398871484168355341928910672) }}, 
+      {{ SC_(411.9053955078125), SC_(6.71393940750234669898410033879058990879) }}, 
+      {{ SC_(415.5833740234375), SC_(6.722828986708716597641935076657699092718) }}, 
+      {{ SC_(417.669189453125), SC_(6.727835453862131466839432640652077316451) }}, 
+      {{ SC_(420.517822265625), SC_(6.734632628835640647510302384260878716087) }}, 
+      {{ SC_(424.3853759765625), SC_(6.743787740494532100937084679719803238806) }}, 
+      {{ SC_(424.7154541015625), SC_(6.744565219553757289338296980369793898726) }}, 
+      {{ SC_(436.3419189453125), SC_(6.771572021268065472972105624143419455948) }}, 
+      {{ SC_(438.501953125), SC_(6.776510146304200360440233381235270942742) }}, 
+      {{ SC_(439.3369140625), SC_(6.778412462065226061129312213528458641603) }}, 
+      {{ SC_(445.5606689453125), SC_(6.792479340600349658156225315328718026016) }}, 
+      {{ SC_(452.9901123046875), SC_(6.809016260337228831936738732897410136218) }}, 
+      {{ SC_(453.77490234375), SC_(6.810747231716348697176150895548602377257) }}, 
+      {{ SC_(456.7745361328125), SC_(6.817335895109250694056391088138248559173) }}, 
+      {{ SC_(457.9520263671875), SC_(6.819910421197310978529029433663908470507) }}, 
+      {{ SC_(458.6795654296875), SC_(6.821497844004013502448409287800537132756) }}, 
+      {{ SC_(460.5164794921875), SC_(6.825494642872147128332763285398798677976) }}, 
+      {{ SC_(461.8717041015625), SC_(6.828433164406686771701521855077910926631) }}, 
+      {{ SC_(464.7025146484375), SC_(6.834543470287694007429787493802694241702) }}, 
+      {{ SC_(467.0626220703125), SC_(6.839609377592375029558701051277174984946) }}, 
+      {{ SC_(467.0712890625), SC_(6.83962793384421245687931998241985864452) }}, 
+      {{ SC_(470.096923828125), SC_(6.846084943645238808995975141700921096311) }}, 
+      {{ SC_(475.1607666015625), SC_(6.856799276049143563229337105263608232029) }}, 
+      {{ SC_(477.5537109375), SC_(6.861822721577315741859023908594798480392) }}, 
+      {{ SC_(478.626220703125), SC_(6.864066049482580522441871176709541953581) }}, 
+      {{ SC_(478.7958984375), SC_(6.8644204973336804815313774177052514308) }}, 
+      {{ SC_(479.6864013671875), SC_(6.86627865397306926299976132455469132911) }}, 
+      {{ SC_(479.7867431640625), SC_(6.866487814627139251181098007832885765806) }}, 
+      {{ SC_(479.9122314453125), SC_(6.866749331118839213169502276407114725047) }}, 
+      {{ SC_(482.4793701171875), SC_(6.872084270243208288559827917865564857217) }}, 
+      {{ SC_(482.5181884765625), SC_(6.872164723177874204251489651336382789811) }}, 
+      {{ SC_(483.8797607421875), SC_(6.874982560453873383658251901541786496761) }}, 
+      {{ SC_(484.4649658203125), SC_(6.876191234145179554349993597841191267853) }}, 
+      {{ SC_(485.3258056640625), SC_(6.877966548833207350351265217595172972905) }}, 
+      {{ SC_(490.57373046875), SC_(6.888721726428236039221890401406352667404) }}, 
+      {{ SC_(493.7423095703125), SC_(6.895159895589969853078001763235883415882) }}, 
+      {{ SC_(494.272216796875), SC_(6.896232568812717932403585431953843090099) }}, 
+      {{ SC_(496.44775390625), SC_(6.900624415355815565025217006388610220335) }}, 
+      {{ SC_(497.0401611328125), SC_(6.901816998553274960978831433918910814375) }}, 
+      {{ SC_(498.234130859375), SC_(6.904216282287646841845864948036717548583) }}, 
+      {{ SC_(665.0791015625), SC_(7.193052598670792558912351099032198333184) }}, 
+      {{ SC_(1170.29150390625), SC_(7.758155143419731595147190189684865359835) }}, 
+      {{ SC_(2058.7958984375), SC_(8.323023697145112010072186763207801515396) }}, 
+      {{ SC_(5824.533203125), SC_(9.362981311610990187535171280837584820237) }}, 
+      {{ SC_(9114.30859375), SC_(9.810748008110925084589570791503788344652) }}, 
+      {{ SC_(31388.40625), SC_(11.04734105631420306080680845572519805956) }}, 
+      {{ SC_(53732.765625), SC_(11.58492543551253544550738607240822985131) }}, 
+      {{ SC_(117455.09375), SC_(12.3669585392073964063765790447351364021) }}, 
+      {{ SC_(246210.625), SC_(13.10708982832787479175510220013343945066) }}, 
+      {{ SC_(513670.125), SC_(13.84248373881161892648765606597953800527) }}, 
+      {{ SC_(788353.25), SC_(14.2708487357510805583139091933979145572) }}, 
+      {{ SC_(1736171.0), SC_(15.06033985221540896276800056693696357419) }}, 
+      {{ SC_(3770530.0), SC_(15.83587331365755605568701554508826253991) }}, 
+      {{ SC_(4344090.0), SC_(15.97747403917326507392988269405762331118) }}, 
+      {{ SC_(11419360.0), SC_(16.94396789915014469006155507384872743685) }}, 
+      {{ SC_(31023240.0), SC_(17.9433943395609684013300439026124645108) }}, 
+      {{ SC_(40665424.0), SC_(18.21403593674543079149440340324547029148) }}, 
+      {{ SC_(129788064.0), SC_(19.37456058170921543648305825985098346634) }}, 
+      {{ SC_(225668224.0), SC_(19.9277236237785460971743917048171789264) }}, 
+      {{ SC_(450631936.0), SC_(20.61930863840059519949232655148142693395) }}, 
+      {{ SC_(750941952.0), SC_(21.1299860930266968673735341410555546727) }}, 
+      {{ SC_(1887358976.0), SC_(22.05159150215413004649732665310838648331) }}, 
+      {{ SC_(3738011648.0), SC_(22.73496684263974142690946105862900518113) }}, 
+      {{ SC_(7486695424.0), SC_(23.42954051928097083366085869187241049078) }}, 
+      {{ SC_(12668080128.0), SC_(23.95549847139166892348970713379911103008) }}, 
+      {{ SC_(23918272512.0), SC_(24.59105572458284785473015955570721968617) }}, 
+      {{ SC_(48862560256.0), SC_(25.30542448179939429678484289438720749573) }}, 
+      {{ SC_(113763549184.0), SC_(26.15053518194943663075151882301281675861) }}, 
+      {{ SC_(161334755328.0), SC_(26.49989444953256419131899378956019192586) }}, 
+      {{ SC_(321933279232.0), SC_(27.19075733422631778452130090694771384112) }}, 
+      {{ SC_(715734122496.0), SC_(27.98972177820814613504868209029528272152) }}, 
+      {{ SC_(1875817529344.0), SC_(28.95321287653379863631300659442341812344) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/acosh_test.hpp b/src/boost/libs/math/test/acosh_test.hpp
new file mode 100644
index 00000000..906025c3
--- /dev/null
+++ b/src/boost/libs/math/test/acosh_test.hpp
@@ -0,0 +1,120 @@
+// unit test file acosh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/acosh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+
+template<typename T>
+T    acosh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::acosh;
+    
+    
+    static T const    epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = cosh(x);
+    T                z = acosh(y);
+    
+    T                absolute_error = abs(z-abs(x));
+    T                relative_error = absolute_error*abs(sinh(x));
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(acosh_test, T)
+{
+    BOOST_TEST_MESSAGE("Testing acosh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        T    x = static_cast<T>(i-50)/static_cast<T>(5);
+        
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (acosh_error_evaluator(x))
+            (static_cast<T>(4)));
+    }
+    // special cases for bug report: https://svn.boost.org/trac/boost/ticket/5113
+    T x = 1e-2f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-3f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-4f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-5f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-6f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    //
+    // Special cases:
+    //
+    if(std::numeric_limits<T>::has_infinity)
+    {
+       T inf = std::numeric_limits<T>::infinity();
+       boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
+       BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
+    }
+}
+
+
+void    acosh_manual_check()
+{
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("acosh");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        float        xf = static_cast<float>(i-50)/static_cast<float>(5);
+        double       xd = static_cast<double>(i-50)/static_cast<double>(5);
+        long double  xl = 
+                static_cast<long double>(i-50)/static_cast<long double>(5);
+        
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << acosh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xd)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xl));
+#else
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << acosh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xd));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp b/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp
new file mode 100644
index 00000000..7b40829a
--- /dev/null
+++ b/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp
@@ -0,0 +1,315 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE adaptive_gauss_kronrod_quadrature_test
+
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if !defined(TEST1) && !defined(TEST1A) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST1A
+#  define TEST2
+#  define TEST3
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss_kronrod;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+
+template <class Real>
+Real get_termination_condition()
+{
+   return boost::math::tools::epsilon<Real>() * 1000;
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss_kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 0, (Real) 1, 15, get_termination_condition<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - 9.5));
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by gauss-kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, 0, 1, 15, get_termination_condition<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - ((Real)17 + half<Real>()*third<Real>())));
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss_kronrod<Real, Points>::integrate(f1, 0, 1, 15, get_termination_condition<Real>(), &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - Q_expected));
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - Q_expected));
+
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0, 1, 25);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 100 * tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0 , 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0, 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f3, 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 0, 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+    auto f4 = [](const Real& t) { return 1/cosh(t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f4, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gauss-Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gauss-Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), 0);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 300*tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+#ifdef TEST1
+    std::cout << "Testing with 15 point Gauss-Kronrod rule:\n";
+    test_linear<double, 15>();
+    test_quadratic<double, 15>();
+    test_ca<double, 15>();
+    test_three_quadrature_schemes_examples<double, 15>();
+    test_integration_over_real_line<double, 15>();
+    test_right_limit_infinite<double, 15>();
+    test_left_limit_infinite<double, 15>();
+
+    //  test one case where we do not have pre-computed constants:
+    std::cout << "Testing with 17 point Gauss-Kronrod rule:\n";
+    test_linear<double, 17>();
+    test_quadratic<double, 17>();
+    test_ca<double, 17>();
+    test_three_quadrature_schemes_examples<double, 17>();
+    test_integration_over_real_line<double, 17>();
+    test_right_limit_infinite<double, 17>();
+    test_left_limit_infinite<double, 17>();
+#endif
+#ifdef TEST1A
+    std::cout << "Testing with 21 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 21>();
+    test_quadratic<cpp_bin_float_quad, 21>();
+    test_ca<cpp_bin_float_quad, 21>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 21>();
+    test_integration_over_real_line<cpp_bin_float_quad, 21>();
+    test_right_limit_infinite<cpp_bin_float_quad, 21>();
+    test_left_limit_infinite<cpp_bin_float_quad, 21>();
+
+    std::cout << "Testing with 31 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 31>();
+    test_quadratic<cpp_bin_float_quad, 31>();
+    test_ca<cpp_bin_float_quad, 31>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 31>();
+    test_integration_over_real_line<cpp_bin_float_quad, 31>();
+    test_right_limit_infinite<cpp_bin_float_quad, 31>();
+    test_left_limit_infinite<cpp_bin_float_quad, 31>();
+#endif
+#ifdef TEST2
+    std::cout << "Testing with 41 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 41>();
+    test_quadratic<cpp_bin_float_quad, 41>();
+    test_ca<cpp_bin_float_quad, 41>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 41>();
+    test_integration_over_real_line<cpp_bin_float_quad, 41>();
+    test_right_limit_infinite<cpp_bin_float_quad, 41>();
+    test_left_limit_infinite<cpp_bin_float_quad, 41>();
+
+    std::cout << "Testing with 51 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 51>();
+    test_quadratic<cpp_bin_float_quad, 51>();
+    test_ca<cpp_bin_float_quad, 51>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 51>();
+    test_integration_over_real_line<cpp_bin_float_quad, 51>();
+    test_right_limit_infinite<cpp_bin_float_quad, 51>();
+    test_left_limit_infinite<cpp_bin_float_quad, 51>();
+#endif
+#ifdef TEST3
+    std::cout << "Testing with 61 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 61>();
+    test_quadratic<cpp_bin_float_quad, 61>();
+    test_ca<cpp_bin_float_quad, 61>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 61>();
+    test_integration_over_real_line<cpp_bin_float_quad, 61>();
+    test_right_limit_infinite<cpp_bin_float_quad, 61>();
+    test_left_limit_infinite<cpp_bin_float_quad, 61>();
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/almost_equal.ipp b/src/boost/libs/math/test/almost_equal.ipp
new file mode 100644
index 00000000..107ee65e
--- /dev/null
+++ b/src/boost/libs/math/test/almost_equal.ipp
@@ -0,0 +1,20 @@
+#ifndef BOOST_MATH_ALMOST_EQUAL_HPP
+#define BOOST_MATH_ALMOST_EQUAL_HPP
+
+// Copyright (c) 2006 Johan Rade
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+
+template<class ValType>
+bool almost_equal(ValType a, ValType b)
+{
+    const ValType e = static_cast<ValType>(0.00001);
+    return (a - e * std::abs(a) <= b + e * std::abs(b))
+        && (a + e * std::abs(a) >= b - e * std::abs(b));
+}
+
+#endif
diff --git a/src/boost/libs/math/test/anderson_darling_test.cpp b/src/boost/libs/math/test/anderson_darling_test.cpp
new file mode 100644
index 00000000..8f0fb95f
--- /dev/null
+++ b/src/boost/libs/math/test/anderson_darling_test.cpp
@@ -0,0 +1,64 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/statistics/anderson_darling.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::statistics::anderson_darling_normality_statistic;
+
+void test_ad_normal_agreement_w_mathematica()
+{
+    // To reproduce:
+    // data = RandomVariate[NormalDistribution[0.0, 1], 32];
+    // AndersonDarlingTest[data, NormalDistribution[0.0, 1.0], "TestStatistic"]
+    std::vector<double> v = {0.6018671202167422, 0.34935310534248165, -0.2975464874480147, 0.19075371678288966, 0.7871329594028097, 1.153968559452821,
+                            -0.22255484635945819, 0.08509539017654276, -1.3495873906132927, 0.5579622886226612, -0.8781637835839865, 1.144016010880056,
+                             0.3117638373078617, 1.2774825413798292, 0.24847416220730323, -0.5002468827503855, -0.23124277830160153, 0.1880980838556693,
+                            -1.2249409521605903, 2.583585311795, -1.4237305768919715, -0.7613985266437971, -1.089096700141564, -1.2595396780059587,
+                            -0.735507006841229, -0.6957024998691735, 0.24671590370045435, 0.24620128485023313, -2.4445908627621833, 0.1882647961008893,
+                             1.8527432579288248, -0.1908629038857823, -1.6542624501251562, 1.414542907065601, 0.8188282235404601, -0.5040501225935047,
+                            -1.634617885381599, -0.43608956281596023, -1.7347258501594351, 0.8387606547880405, 0.3554282034994122, -0.27872688042721255,
+                            -1.6445047421517192, 1.0262620986278987, -0.14517030192098415, -0.15386932114942647, -0.13364750619758223, 0.27194802295714676,
+                            -0.6396907621289796, 0.3390884293844603, -0.08298748318375798, -0.7165572035514544, -0.2580817977433051, -1.9250094572058072,
+                            -0.07995578394716944, -1.146629910012214, -2.0053073148074665, -1.6745995591714353, 0.2973860474005926, -0.4981763213542575,
+                             0.22190763958244972, 0.699111028057888, -1.1872952966557475, 0.6151420566782272};
+
+    double expected = 1.542329830419774;
+    std::sort(v.begin(), v.end());
+    double ADtest = anderson_darling_normality_statistic(v, 0.0, 1.0);
+
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+
+    double sigma = 2;
+    for (auto & x : v) {
+        x *= sigma;
+    }
+    ADtest = anderson_darling_normality_statistic(v, 0.0, sigma);
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+
+    double mu = 10;
+    for (auto & x : v) {
+        x += mu;
+    }
+    ADtest = anderson_darling_normality_statistic(v, mu, sigma);
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+}
+
+int main()
+{
+    test_ad_normal_agreement_w_mathematica();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/asinh_data.ipp b/src/boost/libs/math/test/asinh_data.ipp
new file mode 100644
index 00000000..c947f551
--- /dev/null
+++ b/src/boost/libs/math/test/asinh_data.ipp
@@ -0,0 +1,293 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 281> asinh_data = {{
+      {{ SC_(-497.181640625), SC_(-6.902103625349694816896128061929344488774) }}, 
+      {{ SC_(-495.216552734375), SC_(-6.898143347143858285101511567975488446084) }}, 
+      {{ SC_(-488.0980224609375), SC_(-6.883664481302669222996695409880306523751) }}, 
+      {{ SC_(-486.4609375), SC_(-6.880304842490272781295755933349565066089) }}, 
+      {{ SC_(-482.2261962890625), SC_(-6.87156154650904602462361416438487324277) }}, 
+      {{ SC_(-468.167236328125), SC_(-6.841973895837549314760586943747302390125) }}, 
+      {{ SC_(-465.553955078125), SC_(-6.836376331805492593765664636569933371943) }}, 
+      {{ SC_(-464.288330078125), SC_(-6.833654100575195198545828306587445927099) }}, 
+      {{ SC_(-463.558837890625), SC_(-6.832081663500904935919737735423649299577) }}, 
+      {{ SC_(-453.82861328125), SC_(-6.81086801736630853656142245668310545817) }}, 
+      {{ SC_(-448.7835693359375), SC_(-6.799689165151486910757237507031024212372) }}, 
+      {{ SC_(-446.0499267578125), SC_(-6.793579326246197169098958913912928750651) }}, 
+      {{ SC_(-432.4046630859375), SC_(-6.762510387544996144846476710732722287747) }}, 
+      {{ SC_(-424.145751953125), SC_(-6.74322572098922178423984261142063288429) }}, 
+      {{ SC_(-402.8682861328125), SC_(-6.69175839599430693315848859453612846314) }}, 
+      {{ SC_(-402.4595947265625), SC_(-6.690743430063694316478378930442947372479) }}, 
+      {{ SC_(-390.1383056640625), SC_(-6.65965012921145083591836824643494979965) }}, 
+      {{ SC_(-387.5355224609375), SC_(-6.652956360641761371501126846246743833405) }}, 
+      {{ SC_(-381.0023193359375), SC_(-6.635954365364266311169729037072694814964) }}, 
+      {{ SC_(-374.8172607421875), SC_(-6.619587562578274050554380148151080691039) }}, 
+      {{ SC_(-374.1033935546875), SC_(-6.617681179427804403332414367961774779791) }}, 
+      {{ SC_(-373.01318359375), SC_(-6.614762741096184771534770781005436075363) }}, 
+      {{ SC_(-370.0938720703125), SC_(-6.606905687537060691122483933557635629252) }}, 
+      {{ SC_(-364.5230712890625), SC_(-6.591738907156093293807291816593779744849) }}, 
+      {{ SC_(-361.3756103515625), SC_(-6.583066984213974024130269349536598335519) }}, 
+      {{ SC_(-358.1136474609375), SC_(-6.573999516974134646764605942478671320562) }}, 
+      {{ SC_(-350.8861083984375), SC_(-6.553610904389895936746972395658913458292) }}, 
+      {{ SC_(-350.7060546875), SC_(-6.553097634736137347416591397792124912806) }}, 
+      {{ SC_(-345.5616455078125), SC_(-6.538320325468201861196672683728074373679) }}, 
+      {{ SC_(-342.386962890625), SC_(-6.529090881007076202584033383216307968614) }}, 
+      {{ SC_(-341.9425048828125), SC_(-6.527791927233787108981347318463639017897) }}, 
+      {{ SC_(-337.3883056640625), SC_(-6.51438388615078099259979168949837683455) }}, 
+      {{ SC_(-328.8133544921875), SC_(-6.488639771044976384845381893407049569445) }}, 
+      {{ SC_(-326.1348876953125), SC_(-6.480460592697476652284072277108613530788) }}, 
+      {{ SC_(-313.12744140625), SC_(-6.439759999015992467577771895808599408942) }}, 
+      {{ SC_(-311.6180419921875), SC_(-6.434927968512049412470577925892037200619) }}, 
+      {{ SC_(-303.40478515625), SC_(-6.408217734896572191669656774970329190625) }}, 
+      {{ SC_(-291.9320068359375), SC_(-6.369671035834964490622480119650197877027) }}, 
+      {{ SC_(-289.791015625), SC_(-6.362310184909174825124230502026784750431) }}, 
+      {{ SC_(-288.07568359375), SC_(-6.356373428913315483326002974850146028147) }}, 
+      {{ SC_(-282.76220703125), SC_(-6.337756593913613854161781726501299103316) }}, 
+      {{ SC_(-278.9659423828125), SC_(-6.3242400970614694374776334482330766038) }}, 
+      {{ SC_(-276.1881103515625), SC_(-6.314232650754295158800596164826483845909) }}, 
+      {{ SC_(-269.843994140625), SC_(-6.290994606392703105943420882029653368811) }}, 
+      {{ SC_(-256.47509765625), SC_(-6.240182555852785458496224304526376585373) }}, 
+      {{ SC_(-248.91619873046875), SC_(-6.210267503979360726887449195178911415313) }}, 
+      {{ SC_(-245.71783447265625), SC_(-6.197335184435549180000272192577714732671) }}, 
+      {{ SC_(-244.9049072265625), SC_(-6.194021350132334791819182281057947070343) }}, 
+      {{ SC_(-242.49176025390625), SC_(-6.184119163536405964259882205805060501935) }}, 
+      {{ SC_(-223.97491455078125), SC_(-6.104686221071835053635371385862353306867) }}, 
+      {{ SC_(-223.0770263671875), SC_(-6.100669325836893543736746195548392269128) }}, 
+      {{ SC_(-221.50177001953125), SC_(-6.093582856519022569016903564242082589239) }}, 
+      {{ SC_(-214.1610107421875), SC_(-6.059880750068793807232821057354816859259) }}, 
+      {{ SC_(-202.9705810546875), SC_(-6.006214296526251845395554109089589227751) }}, 
+      {{ SC_(-200.1683349609375), SC_(-5.992312107336994557313003250781997964749) }}, 
+      {{ SC_(-198.0869140625), SC_(-5.981859446096082920408103292664994574137) }}, 
+      {{ SC_(-191.8330078125), SC_(-5.949779216585290285138095990044779123562) }}, 
+      {{ SC_(-183.4495849609375), SC_(-5.905094497458789993605346377453537455651) }}, 
+      {{ SC_(-182.9005126953125), SC_(-5.90209701227578839648368537690039781634) }}, 
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+      {{ SC_(716.154052734375), SC_(7.2670429692740963323840103680788401489) }}, 
+      {{ SC_(1799.92578125), SC_(8.18864796812207220842639194214816612374) }}, 
+      {{ SC_(3564.845703125), SC_(8.872023251113288479644702153534943187411) }}, 
+      {{ SC_(7139.869140625), SC_(9.566596912986166722124065953497502737374) }}, 
+      {{ SC_(12081.22265625), SC_(10.09255486190560839163513867694963651638) }}, 
+      {{ SC_(22810.2421875), SC_(10.72811211386442708825132311411659945728) }}, 
+      {{ SC_(46598.96875), SC_(11.44248087071561781484413254045580909559) }}, 
+      {{ SC_(108493.375), SC_(12.2875915707717694181967755881243802905) }}, 
+      {{ SC_(153860.8125), SC_(12.63695083834421849044542638165059455958) }}, 
+      {{ SC_(307019.5), SC_(13.32781372303006380727775468144124321804) }}, 
+      {{ SC_(682577.25), SC_(14.12677816700977652906247822629132152831) }}, 
+      {{ SC_(1788919.0), SC_(15.09026926533497056732451999718664988024) }}, 
+      {{ SC_(3769169.0), SC_(15.83551229128394411859348316953904317643) }}, 
+      {{ SC_(4327820.0), SC_(15.97372168955474121405849637207319473463) }}, 
+      {{ SC_(11044024.0), SC_(16.91054720571544732784968725481341574805) }}, 
+      {{ SC_(21423208.0), SC_(17.57313255890322504472542433762806340181) }}, 
+      {{ SC_(62828288.0), SC_(18.64906315643796382994112822618240813581) }}, 
+      {{ SC_(70207360.0), SC_(18.7601108873651530393019317938988457707) }}, 
+      {{ SC_(154231424.0), SC_(19.54711196618087428636344348941647974165) }}, 
+      {{ SC_(294509056.0), SC_(20.1939674915675244205666343569672677746) }}, 
+      {{ SC_(1070557184.0), SC_(21.48459226315622322979093631189365864251) }}, 
+      {{ SC_(1957922816.0), SC_(22.08829714102155481686957732827526425736) }}, 
+      {{ SC_(3912507392.0), SC_(22.78059146269991677250675041832419710247) }}, 
+      {{ SC_(7279233024.0), SC_(23.40143852031869095098313030835785443555) }}, 
+      {{ SC_(9665245184.0), SC_(23.68494949808078517275225570625127768937) }}, 
+      {{ SC_(22627590144.0), SC_(24.53558298204260156687347955127694595939) }}, 
+      {{ SC_(60601991168.0), SC_(25.52074076759958328225601044752066239618) }}, 
+      {{ SC_(134018236416.0), SC_(26.31438890085421876104087786768111623882) }}, 
+      {{ SC_(204864946176.0), SC_(26.73876398039978985836947169876252884996) }}, 
+      {{ SC_(284346286080.0), SC_(27.06660583008717947194092254982253381033) }}, 
+      {{ SC_(914576637952.0), SC_(28.23487428494463574299686107465880501208) }}, 
+      {{ SC_(1581915832320.0), SC_(28.7828049610810604762091293247739091717) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/asinh_test.hpp b/src/boost/libs/math/test/asinh_test.hpp
new file mode 100644
index 00000000..98aa5557
--- /dev/null
+++ b/src/boost/libs/math/test/asinh_test.hpp
@@ -0,0 +1,100 @@
+// unit test file asinh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/asinh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+
+template<typename T>
+T    asinh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::asinh;
+    
+    
+    static T const    epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = sinh(x);
+    T                z = asinh(y);
+    
+    T                absolute_error = abs(z-x);
+    T                relative_error = absolute_error*cosh(x);
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(asinh_test, T)
+{
+    BOOST_TEST_MESSAGE("Testing asinh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int i = 0; i <= 80; i++)
+    {
+        T    x = static_cast<T>(i-40)/static_cast<T>(4);
+        
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (asinh_error_evaluator(x))
+            (static_cast<T>(4)));
+    }
+    //
+    // Special cases:
+    //
+    if(std::numeric_limits<T>::has_infinity)
+    {
+       T inf = std::numeric_limits<T>::infinity();
+       boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
+       BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
+       BOOST_CHECK_EQUAL(boost::math::asinh(-inf, pol), -inf);
+    }
+}
+
+
+void    asinh_manual_check()
+{
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("asinh");
+    
+    for    (int i = 0; i <= 80; i++)
+    {
+        float        xf = static_cast<float>(i-40)/static_cast<float>(4);
+        double       xd = static_cast<double>(i-40)/static_cast<double>(4);
+        long double  xl =
+                static_cast<long double>(i-40)/static_cast<long double>(4);
+        
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << asinh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xd)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xl));
+#else
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << asinh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xd));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/assoc_legendre_p.ipp b/src/boost/libs/math/test/assoc_legendre_p.ipp
new file mode 100644
index 00000000..ed9f0ac1
--- /dev/null
+++ b/src/boost/libs/math/test/assoc_legendre_p.ipp
@@ -0,0 +1,408 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 400> assoc_legendre_p = {{
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.264718532562255859375), SC_(0.018682285998021253444483874168352748715136623066073) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.67001712322235107421875), SC_(0.0085227010576716344744906184676725516467064196759033) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.91501367092132568359375), SC_(0.0013678553914178941694232605088191864494205442141689) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.93538987636566162109375), SC_(0.00092121779437596438014780141399846622556782069609554) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.804919183254241943359375), SC_(-0.035427019537072229468317544697039851719910785732282) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.62323606014251708984375), SC_(-0.047644590452413896385001513687947050090798484234256) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.047507226872528274797147731134568104938153965122183) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.92977702617645263671875), SC_(0.015749804707019642230489140711548190498803023729124) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.98576259613037109375), SC_(0.0034836978383022116191949923980075709550874307751656) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-1.0), SC_(0.09376299381256103515625), SC_(-0.11897883801786023759113449248494493928619190467444) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.826751708984375), SC_(0.1726224256643575927228084765374660491943359375) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.99292266368865966796875), SC_(0.95791076106518834501582130387317692843396343960194) }}, 
+      {{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.5579319000244140625), SC_(-0.69267329476836900305232758748436796165065650726706) }}, 
+      {{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.38366591930389404296875), SC_(0.36569809882896106974883774476288881583212189972924) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.74602639675140380859375), SC_(-4.9623208282269009166469230084559050020232007227605) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.44300353527069091796875), SC_(-5.340947203111010720410977109344485835862315070699) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.81158387660980224609375), SC_(4.1552884837362426955817673026802316904593226354336) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.93773555755615234375), SC_(1.6970953962729668417983019956807311245938763022423) }}, 
+      {{ SC_(4.285762786865234375), SC_(-4.0), SC_(0.0944411754608154296875), SC_(0.0025579199993109637443137263005669146428545187165902) }}, 
+      {{ SC_(4.285762786865234375), SC_(-4.0), SC_(0.67001712322235107421875), SC_(0.00079084875024561627663099583678188315474519799498067) }}, 
+      {{ SC_(4.285762786865234375), SC_(-3.0), SC_(-0.74602639675140380859375), SC_(-0.0045895703969571628891682136050294568676142831603226) }}, 
+      {{ SC_(4.285762786865234375), SC_(-2.0), SC_(-0.62323606014251708984375), SC_(0.021901614369568242657323933337327101674854041794065) }}, 
+      {{ SC_(4.285762786865234375), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.022308096300309799048219090710479861660073888191704) }}, 
+      {{ SC_(4.285762786865234375), SC_(-2.0), SC_(0.93538987636566162109375), SC_(0.013350407227053037260147784930747976172856146131701) }}, 
+      {{ SC_(4.285762786865234375), SC_(-1.0), SC_(0.91501367092132568359375), SC_(0.13200123550282267507521242420636682233158093275439) }}, 
+      {{ SC_(4.285762786865234375), SC_(-1.0), SC_(0.98576259613037109375), SC_(0.07877427388685735435597041845896354141179322010808) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.0), SC_(-0.38366591930389404296875), SC_(-0.082202061657178565574671344721658600769778582062621) }}, 
+      {{ SC_(4.285762786865234375), SC_(1.0), SC_(0.09376299381256103515625), SC_(0.68576243868873072515243076289551241703397054367008) }}, 
+      {{ SC_(4.285762786865234375), SC_(1.0), SC_(0.264718532562255859375), SC_(1.6015108598580622790613880161520031562290080195803) }}, 
+      {{ SC_(4.285762786865234375), SC_(1.0), SC_(0.826751708984375), SC_(-2.075091388628511047552411495370343087881224878243) }}, 
+      {{ SC_(4.285762786865234375), SC_(1.0), SC_(0.92977702617645263671875), SC_(-2.6110232658679238686101145865940662146504977908866) }}, 
+      {{ SC_(4.285762786865234375), SC_(1.0), SC_(0.99292266368865966796875), SC_(-1.1501152124516827856720730990547167000673318754544) }}, 
+      {{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.804919183254241943359375), SC_(17.658347776050435476592152301745513462355419797644) }}, 
+      {{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.72904598712921142578125), SC_(24.546943351788936569134344357322020563417724549234) }}, 
+      {{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.5579319000244140625), SC_(33.483200432942805434592337100676821594014587089232) }}, 
+      {{ SC_(4.285762786865234375), SC_(4.0), SC_(-0.44300353527069091796875), SC_(67.831116663749312786686560206270714301013197988912) }}, 
+      {{ SC_(4.285762786865234375), SC_(4.0), SC_(0.81158387660980224609375), SC_(12.23326322639646526677027003435192961976317891902) }}, 
+      {{ SC_(4.285762786865234375), SC_(4.0), SC_(0.93773555755615234375), SC_(1.5284756464094009019523190775027909687425881068989) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.09376299381256103515625), SC_(0.0025585788865558103020054987182935328386974024573462) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.81158387660980224609375), SC_(0.00030340434589276947586235788775674428620444392160269) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.826751708984375), SC_(0.00026083492327811402025075290800337768359895562753081) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.92977702617645263671875), SC_(0.47823512832424889615550406883421003863012687163716e-4) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.804919183254241943359375), SC_(-0.0035036404317560387850381254566955383853879801185802) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.72904598712921142578125), SC_(-0.0048704252682120905891139572137543691594082786804035) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.62323606014251708984375), SC_(-0.0062099464278749790063643151908339184429802189273533) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-3.0), SC_(0.93538987636566162109375), SC_(0.00086169779878718081099879281321850193219169946462828) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-2.0), SC_(-0.5579319000244140625), SC_(0.016916718454958990171262790356133102641009169353481) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-2.0), SC_(-0.44300353527069091796875), SC_(0.0062585992120013346073049856968548291009012658140108) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-2.0), SC_(0.91501367092132568359375), SC_(0.016480979075286992096829450389735978618066029926915) }}, 
+      {{ SC_(4.43858623504638671875), SC_(-1.0), SC_(0.62944734096527099609375), SC_(-0.013852284088400384102197697049644481796357180917995) }}, 
+      {{ SC_(4.43858623504638671875), SC_(0.0), SC_(-0.38366591930389404296875), SC_(-0.082202061657178565574671344721658600769778582062621) }}, 
+      {{ SC_(4.43858623504638671875), SC_(0.0), SC_(0.0944411754608154296875), SC_(0.3419012769545217228869883142677928817338726938716) }}, 
+      {{ SC_(4.43858623504638671875), SC_(0.0), SC_(0.67001712322235107421875), SC_(-0.42675937253158873957266351661277594541380955593248) }}, 
+      {{ SC_(4.43858623504638671875), SC_(1.0), SC_(-0.74602639675140380859375), SC_(1.1126727867403958433914301847632907446425470781145) }}, 
+      {{ SC_(4.43858623504638671875), SC_(1.0), SC_(0.93773555755615234375), SC_(-2.5694907092758592654019226620729417580286717814693) }}, 
+      {{ SC_(4.43858623504638671875), SC_(2.0), SC_(0.264718532562255859375), SC_(-3.5532540894315570371583179746027713002035183960381) }}, 
+      {{ SC_(4.43858623504638671875), SC_(2.0), SC_(0.99292266368865966796875), SC_(0.62426196438718111041026481024591411942721351148618) }}, 
+      {{ SC_(4.43858623504638671875), SC_(4.0), SC_(0.98576259613037109375), SC_(0.083927746199061397527375080044175506771911288161903) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.0944411754608154296875), SC_(0.0002546487231919752178607492517299512129462633725364) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.264718532562255859375), SC_(0.00021716384956208715694799696662224323122616129459559) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.67001712322235107421875), SC_(0.58708312450036459613075249881849855560840725857318e-4) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.91501367092132568359375), SC_(0.27827305046113328781834314319875323548924440626817e-5) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-3.0), SC_(0.92977702617645263671875), SC_(0.00088084918348099199582932467310763476850348538284308) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.0044802133341411818740038475673044511324305084281699) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.826751708984375), SC_(0.017179972428025654957727173029455910568258358850358) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.93773555755615234375), SC_(0.011582986702578200018657376926081178305253584288072) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.804919183254241943359375), SC_(0.027614447937383812923403611365941023696827330290191) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.74602639675140380859375), SC_(-0.011942526133146833219086796223309547055717483576189) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.44300353527069091796875), SC_(-0.052598650339880048670991840817375710928478745804392) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-1.0), SC_(0.81158387660980224609375), SC_(0.032475028650926011657602131247192442876513897830463) }}, 
+      {{ SC_(5.390875339508056640625), SC_(-1.0), SC_(0.98576259613037109375), SC_(0.075928872430285790876424723398166177311286253675933) }}, 
+      {{ SC_(5.390875339508056640625), SC_(1.0), SC_(-0.5579319000244140625), SC_(2.0588360348849268576901634118752070496134490686058) }}, 
+      {{ SC_(5.390875339508056640625), SC_(1.0), SC_(-0.38366591930389404296875), SC_(1.0488997903645254423314161051388628455007799361763) }}, 
+      {{ SC_(5.390875339508056640625), SC_(1.0), SC_(0.99292266368865966796875), SC_(-1.694428428045302980695459253870012855657911579182) }}, 
+      {{ SC_(5.390875339508056640625), SC_(3.0), SC_(0.09376299381256103515625), SC_(47.709869098409296824126378544766494005231382182091) }}, 
+      {{ SC_(5.390875339508056640625), SC_(5.0), SC_(-0.72904598712921142578125), SC_(-141.96691257606284385923672899667345613424951478332) }}, 
+      {{ SC_(5.390875339508056640625), SC_(5.0), SC_(-0.62323606014251708984375), SC_(-276.41355575741464167724815651046032240942755898478) }}, 
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+      {{ SC_(19.367992401123046875), SC_(12.0), SC_(-0.38366591930389404296875), SC_(-88775931893030.570776909560322117125028614222504249) }}, 
+      {{ SC_(19.367992401123046875), SC_(13.0), SC_(0.99292266368865966796875), SC_(-6370402.0056839501875375385352467787059666973045593) }}, 
+      {{ SC_(19.367992401123046875), SC_(14.0), SC_(-0.74602639675140380859375), SC_(-29382493955027210.900261178223964994850616622296376) }}, 
+      {{ SC_(19.367992401123046875), SC_(14.0), SC_(-0.62323606014251708984375), SC_(-78338179480735275.385980722705110901752445891864321) }}, 
+      {{ SC_(19.367992401123046875), SC_(15.0), SC_(0.826751708984375), SC_(-21925888030419983.923456036187293901038296511900498) }}, 
+      {{ SC_(19.367992401123046875), SC_(15.0), SC_(0.92977702617645263671875), SC_(-64341448614367.513605394800667731791476692010324668) }}, 
+      {{ SC_(19.367992401123046875), SC_(18.0), SC_(0.93773555755615234375), SC_(41662739626590.703682551951618167157234877634542544) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-18.0), SC_(0.0944411754608154296875), SC_(0.51911342450084606006498960540691516909936454811191e-22) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-17.0), SC_(-0.5579319000244140625), SC_(0.26324372445835333986291229819511043236130501244613e-21) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-13.0), SC_(-0.74602639675140380859375), SC_(0.1038530509609787824487836468215661897944095895319e-16) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-13.0), SC_(-0.44300353527069091796875), SC_(-0.11954326307657381817424475791045577141774274614215e-16) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-11.0), SC_(0.98576259613037109375), SC_(0.32010533648064664252568315383909193374387441919969e-19) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-8.0), SC_(0.93538987636566162109375), SC_(0.70096078678514191093666708376458847827858161562235e-11) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-6.0), SC_(0.826751708984375), SC_(-0.50239978245173340481994943923797004708278735544008e-8) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-6.0), SC_(0.91501367092132568359375), SC_(0.69080326024780067300862626196534340743493983872007e-8) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-5.0), SC_(-0.38366591930389404296875), SC_(-0.30848661309469795756336369771506539897303178512343e-7) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-2.0), SC_(-0.72904598712921142578125), SC_(0.6914266105284580609485581648675886651787722622556e-4) }}, 
+      {{ SC_(19.4185085296630859375), SC_(-2.0), SC_(0.93773555755615234375), SC_(-0.00082097977947824531306568828914325965998735309386971) }}, 
+      {{ SC_(19.4185085296630859375), SC_(1.0), SC_(0.81158387660980224609375), SC_(4.2277096876026264281609013898703823312548839649606) }}, 
+      {{ SC_(19.4185085296630859375), SC_(3.0), SC_(-0.804919183254241943359375), SC_(-1069.4488089252507695912869014570583577070805013318) }}, 
+      {{ SC_(19.4185085296630859375), SC_(8.0), SC_(-0.62323606014251708984375), SC_(-2666091237.1634788661326592401910351174873913360323) }}, 
+      {{ SC_(19.4185085296630859375), SC_(8.0), SC_(0.99292266368865966796875), SC_(925591.97999902651810095119605577620595541436584718) }}, 
+      {{ SC_(19.4185085296630859375), SC_(9.0), SC_(0.264718532562255859375), SC_(-5122686380.6946779314572422174331586519139555025857) }}, 
+      {{ SC_(19.4185085296630859375), SC_(10.0), SC_(0.09376299381256103515625), SC_(965104740093.56545540804916275928148739799548313534) }}, 
+      {{ SC_(19.4185085296630859375), SC_(11.0), SC_(0.92977702617645263671875), SC_(-624047483227.59396674703988209346984924810845031782) }}, 
+      {{ SC_(19.4185085296630859375), SC_(15.0), SC_(0.62944734096527099609375), SC_(-738329845534139238.31589929078368480078587395312756) }}, 
+      {{ SC_(19.4185085296630859375), SC_(18.0), SC_(0.67001712322235107421875), SC_(25754480226319677835.76098992722595983871287263485) }}, 
+      {{ SC_(19.4396209716796875), SC_(-19.0), SC_(0.826751708984375), SC_(0.28096099754174757639142988313052093117069710820259e-27) }}, 
+      {{ SC_(19.4396209716796875), SC_(-19.0), SC_(0.99292266368865966796875), SC_(0.41139415501798503182620662065024377889890717413858e-40) }}, 
+      {{ SC_(19.4396209716796875), SC_(-16.0), SC_(0.92977702617645263671875), SC_(0.65747433121722074118768922518726326206091216387016e-25) }}, 
+      {{ SC_(19.4396209716796875), SC_(-14.0), SC_(0.0944411754608154296875), SC_(0.7750508585662675010738068913765041007697196976154e-18) }}, 
+      {{ SC_(19.4396209716796875), SC_(-10.0), SC_(0.93538987636566162109375), SC_(0.35203386148632068895108168682763476328178687031646e-14) }}, 
+      {{ SC_(19.4396209716796875), SC_(-9.0), SC_(-0.804919183254241943359375), SC_(0.861460700695142273465894246225707493326360379112e-12) }}, 
+      {{ SC_(19.4396209716796875), SC_(-9.0), SC_(0.09376299381256103515625), SC_(0.35797340830762850114741224311803714456251087097646e-13) }}, 
+      {{ SC_(19.4396209716796875), SC_(-9.0), SC_(0.264718532562255859375), SC_(0.60970531234766811023858960941339345617424038691191e-13) }}, 
+      {{ SC_(19.4396209716796875), SC_(-4.0), SC_(0.81158387660980224609375), SC_(0.14162438520800722165613785588526894318263591840579e-5) }}, 
+      {{ SC_(19.4396209716796875), SC_(0.0), SC_(0.93773555755615234375), SC_(0.30185089350015097041813236342216465473811492066808) }}, 
+      {{ SC_(19.4396209716796875), SC_(1.0), SC_(-0.74602639675140380859375), SC_(-3.3298125144104874439554986012917200328078041284076) }}, 
+      {{ SC_(19.4396209716796875), SC_(6.0), SC_(-0.62323606014251708984375), SC_(2070223.0689771828593384049574788254082161424782151) }}, 
+      {{ SC_(19.4396209716796875), SC_(9.0), SC_(-0.72904598712921142578125), SC_(40963049161.840563921749109759131967640623017931928) }}, 
+      {{ SC_(19.4396209716796875), SC_(12.0), SC_(0.91501367092132568359375), SC_(7040751124453.4488884066354472049044671577945030141) }}, 
+      {{ SC_(19.4396209716796875), SC_(13.0), SC_(0.67001712322235107421875), SC_(-5687940021302887.6451945681691475411327830115702795) }}, 
+      {{ SC_(19.4396209716796875), SC_(14.0), SC_(0.98576259613037109375), SC_(674245566.99025968816472030671195432637133872627082) }}, 
+      {{ SC_(19.4396209716796875), SC_(17.0), SC_(-0.38366591930389404296875), SC_(-127301699165359197878.79551348556848810793872324273) }}, 
+      {{ SC_(19.4396209716796875), SC_(18.0), SC_(-0.5579319000244140625), SC_(-159505604178383717077.46533923481855803222244671133) }}, 
+      {{ SC_(19.4396209716796875), SC_(19.0), SC_(-0.44300353527069091796875), SC_(-1029187142567780884281.5753644645077933758833454754) }}, 
+      {{ SC_(19.4396209716796875), SC_(19.0), SC_(0.62944734096527099609375), SC_(-67969400336711244635.100926182757403393151023891505) }}, 
+      {{ SC_(19.87186431884765625), SC_(-18.0), SC_(0.0944411754608154296875), SC_(0.51911342450084606006498960540691516909936454811191e-22) }}, 
+      {{ SC_(19.87186431884765625), SC_(-17.0), SC_(0.67001712322235107421875), SC_(0.58726064536889576863720153513076020150678343992132e-22) }}, 
+      {{ SC_(19.87186431884765625), SC_(-14.0), SC_(0.09376299381256103515625), SC_(0.77286264421078668095197950811355859649633390890055e-18) }}, 
+      {{ SC_(19.87186431884765625), SC_(-13.0), SC_(0.98576259613037109375), SC_(0.15205096913859731930591097244177400726284058187231e-23) }}, 
+      {{ SC_(19.87186431884765625), SC_(-12.0), SC_(0.62944734096527099609375), SC_(0.84179594974630947109160535195453410788993007175736e-16) }}, 
+      {{ SC_(19.87186431884765625), SC_(-6.0), SC_(0.93773555755615234375), SC_(0.66088259609398732039730419153668689085254808488491e-8) }}, 
+      {{ SC_(19.87186431884765625), SC_(-3.0), SC_(0.92977702617645263671875), SC_(-0.3202584859446750447001544695075271493418238924369e-4) }}, 
+      {{ SC_(19.87186431884765625), SC_(2.0), SC_(0.93538987636566162109375), SC_(-114.29504330922803764479417554506839061453574689078) }}, 
+      {{ SC_(19.87186431884765625), SC_(3.0), SC_(0.264718532562255859375), SC_(-590.31121404357419718511991159003397861067922712095) }}, 
+      {{ SC_(19.87186431884765625), SC_(4.0), SC_(-0.804919183254241943359375), SC_(-31206.872941793395251553296530119153550183252786295) }}, 
+      {{ SC_(19.87186431884765625), SC_(4.0), SC_(0.81158387660980224609375), SC_(27998.376863739953480856174913557597864204862111517) }}, 
+      {{ SC_(19.87186431884765625), SC_(6.0), SC_(-0.74602639675140380859375), SC_(-3988947.6757273109841392288902418535673497942678044) }}, 
+      {{ SC_(19.87186431884765625), SC_(6.0), SC_(0.91501367092132568359375), SC_(17207577.76868430351907141387711761936487111245407) }}, 
+      {{ SC_(19.87186431884765625), SC_(8.0), SC_(-0.5579319000244140625), SC_(-2880999408.1753053515439782739761895146097466930431) }}, 
+      {{ SC_(19.87186431884765625), SC_(10.0), SC_(-0.38366591930389404296875), SC_(-250811038036.64016980933046385373956183195852302589) }}, 
+      {{ SC_(19.87186431884765625), SC_(11.0), SC_(0.99292266368865966796875), SC_(-4956548.0008289171017772512361059049573500136580832) }}, 
+      {{ SC_(19.87186431884765625), SC_(12.0), SC_(-0.62323606014251708984375), SC_(-106590833899905.54371031227921841065877625515491286) }}, 
+      {{ SC_(19.87186431884765625), SC_(12.0), SC_(-0.44300353527069091796875), SC_(164377317484172.780269767864581766622776515649156) }}, 
+      {{ SC_(19.87186431884765625), SC_(18.0), SC_(-0.72904598712921142578125), SC_(-6500249695425848422.6994934374150447524907522260626) }}, 
+      {{ SC_(19.87186431884765625), SC_(18.0), SC_(0.826751708984375), SC_(215957040146103710.43752878136972484271174243226819) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-19.0), SC_(-0.5579319000244140625), SC_(0.4536209533748046856223356436528310434693264815516e-24) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-19.0), SC_(0.264718532562255859375), SC_(0.78629720841879126459468443827603688509992408472136e-23) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-17.0), SC_(-0.44300353527069091796875), SC_(0.58251104165678394898744857711146365095314417691743e-21) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-16.0), SC_(-0.62323606014251708984375), SC_(-0.29751304424052425636113962115386812591456175870573e-20) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-14.0), SC_(0.91501367092132568359375), SC_(0.12709748787166211089363084338252308414817659872819e-20) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-14.0), SC_(0.92977702617645263671875), SC_(0.3871138758064428596131493508699859591733838577277e-21) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-12.0), SC_(0.93773555755615234375), SC_(0.89408958662499196674261505271428146255253342324884e-18) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-11.0), SC_(-0.38366591930389404296875), SC_(0.26026063256932547239295328669255586707226242612148e-14) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-10.0), SC_(-0.74602639675140380859375), SC_(-0.34765506905243672613499520824866410956137457719745e-13) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-10.0), SC_(0.81158387660980224609375), SC_(0.63172556307492864748930303721096827403984649074523e-13) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-4.0), SC_(0.0944411754608154296875), SC_(-0.12660004211205826580535251463738122438007427377005e-5) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-4.0), SC_(0.62944734096527099609375), SC_(-0.54962149013781842129875877015678395599272910286725e-6) }}, 
+      {{ SC_(19.9363040924072265625), SC_(2.0), SC_(0.09376299381256103515625), SC_(66.642893417106666543810431512449143935500286088633) }}, 
+      {{ SC_(19.9363040924072265625), SC_(3.0), SC_(0.99292266368865966796875), SC_(-1337.0443049910513329145515282976202263100750256813) }}, 
+      {{ SC_(19.9363040924072265625), SC_(8.0), SC_(0.826751708984375), SC_(3010989900.8893375803525358367041329372033717978545) }}, 
+      {{ SC_(19.9363040924072265625), SC_(10.0), SC_(-0.72904598712921142578125), SC_(-451944141173.12209414901560544187498153708108846852) }}, 
+      {{ SC_(19.9363040924072265625), SC_(11.0), SC_(0.67001712322235107421875), SC_(-3818836562168.0063397346459855637481748033411304683) }}, 
+      {{ SC_(19.9363040924072265625), SC_(13.0), SC_(0.98576259613037109375), SC_(-555684705.08358775884287423663622045616768375133224) }}, 
+      {{ SC_(19.9363040924072265625), SC_(15.0), SC_(-0.804919183254241943359375), SC_(-43129486142739936.248977475359797313525493031517393) }}, 
+      {{ SC_(19.9363040924072265625), SC_(19.0), SC_(0.93538987636566162109375), SC_(-21677629202869.188161110548407561929925083445523615) }}
+   }};
+
diff --git a/src/boost/libs/math/test/atanh_data.ipp b/src/boost/libs/math/test/atanh_data.ipp
new file mode 100644
index 00000000..11d89d40
--- /dev/null
+++ b/src/boost/libs/math/test/atanh_data.ipp
@@ -0,0 +1,272 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 260> atanh_data = {{
+      {{ SC_(-0.9999983310699462890625), SC_(-6.998237084679026894944012639589359039154) }}, 
+      {{ SC_(-0.9999978542327880859375), SC_(-6.872579751329170618373487147465365112113) }}, 
+      {{ SC_(-0.999992847442626953125), SC_(-6.270592097465752658938563627507298840894) }}, 
+      {{ SC_(-0.999986171722412109375), SC_(-5.94096761408481303343713262973790932529) }}, 
+      {{ SC_(-0.9999828338623046875), SC_(-5.832855225378502201556044619092381320613) }}, 
+      {{ SC_(-0.99993991851806640625), SC_(-5.206463012087559958576821359878019831698) }}, 
+      {{ SC_(-0.9998834133148193359375), SC_(-4.874982184181078415951979525893507005727) }}, 
+      {{ SC_(-0.9998509883880615234375), SC_(-4.752279497280337973604777810710354182427) }}, 
+      {{ SC_(-0.9996016025543212890625), SC_(-4.260504202858904159948511594799808172686) }}, 
+      {{ SC_(-0.9993612766265869140625), SC_(-4.024433435320311666223352267171267188441) }}, 
+      {{ SC_(-0.9989283084869384765625), SC_(-3.765564108299923386710499391156429825334) }}, 
+      {{ SC_(-0.996978282928466796875), SC_(-3.246782610980921221976121268600437559073) }}, 
+      {{ SC_(-0.9950058460235595703125), SC_(-2.995067117994093910327278839368162513171) }}, 
+      {{ SC_(-0.9942638874053955078125), SC_(-2.925624274960953689217686505461794222524) }}, 
+      {{ SC_(-0.9907157421112060546875), SC_(-2.683964628330836423435761449812536808992) }}, 
+      {{ SC_(-0.990334033966064453125), SC_(-2.663723350226517894297444398633783948406) }}, 
+      {{ SC_(-0.9760982990264892578125), SC_(-2.207464998348322224447911930881940831481) }}, 
+      {{ SC_(-0.975830078125), SC_(-2.201817459680555978821333155035293326746) }}, 
+      {{ SC_(-0.972824573516845703125), SC_(-2.142454230829143642120980722087236052917) }}, 
+      {{ SC_(-0.964355945587158203125), SC_(-2.004668675602091699628236313728557407114) }}, 
+      {{ SC_(-0.9377224445343017578125), SC_(-1.718833734617706500332405835370646660471) }}, 
+      {{ SC_(-0.936240673065185546875), SC_(-1.706694048256515431631815885672233674251) }}, 
+      {{ SC_(-0.9310147762298583984375), SC_(-1.665954300553314591750124550883856364694) }}, 
+      {{ SC_(-0.9284839630126953125), SC_(-1.647283871876074775612635961977408037529) }}, 
+      {{ SC_(-0.92702484130859375), SC_(-1.636806734088156154435563850211913111601) }}, 
+      {{ SC_(-0.907566547393798828125), SC_(-1.513547347731111539787447924356304439238) }}, 
+      {{ SC_(-0.8974773883819580078125), SC_(-1.45909860863314960721683880733144126731) }}, 
+      {{ SC_(-0.89201068878173828125), SC_(-1.431681573516303182182852281763191690617) }}, 
+      {{ SC_(-0.87765598297119140625), SC_(-1.365471286049011032989426113780315638737) }}, 
+      {{ SC_(-0.864722728729248046875), SC_(-1.31177055834445394659795622633703969998) }}, 
+      {{ SC_(-0.8482067584991455078125), SC_(-1.249725893334944048400811976134680437019) }}, 
+      {{ SC_(-0.805655956268310546875), SC_(-1.114524602859225810626832366034868507092) }}, 
+      {{ SC_(-0.8048388957977294921875), SC_(-1.112200609756455010839566277837214844325) }}, 
+      {{ SC_(-0.780198574066162109375), SC_(-1.045877833082255648218230662475846475501) }}, 
+      {{ SC_(-0.774993419647216796875), SC_(-1.032711173436253036051634900441573817364) }}, 
+      {{ SC_(-0.761928558349609375), SC_(-1.000796728136218508274740551519944314059) }}, 
+      {{ SC_(-0.7504425048828125), SC_(-0.9739672824457071545212558891424185128762) }}, 
+      {{ SC_(-0.7495596408843994140625), SC_(-0.9719492983286864197920761015664283271976) }}, 
+      {{ SC_(-0.7481319904327392578125), SC_(-0.9686989420144869980652193388237565424316) }}, 
+      {{ SC_(-0.7459518909454345703125), SC_(-0.9637657636705832060477647484529718099027) }}, 
+      {{ SC_(-0.740113735198974609375), SC_(-0.9507308314464193446531653906278264445993) }}, 
+      {{ SC_(-0.7289731502532958984375), SC_(-0.926532531986765318247140551363667818701) }}, 
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+      {{ SC_(0.6162893772125244140625), SC_(0.718999805549710753361347867549953319929) }}, 
+      {{ SC_(0.6194069385528564453125), SC_(0.7240422748778544828852658840299672671419) }}, 
+      {{ SC_(0.62850666046142578125), SC_(0.7389438896054792083692956718844417119266) }}, 
+      {{ SC_(0.6293842792510986328125), SC_(0.7403958734869583175052115753160537014235) }}, 
+      {{ SC_(0.641617298126220703125), SC_(0.7609178886018203867768570854585116358618) }}, 
+      {{ SC_(0.6424276828765869140625), SC_(0.7622965466812235050838313606820415418465) }}, 
+      {{ SC_(0.643742084503173828125), SC_(0.7645378650643100878873860589743586646119) }}, 
+      {{ SC_(0.6468508243560791015625), SC_(0.7698647951781609863982541324817513695536) }}, 
+      {{ SC_(0.661591053009033203125), SC_(0.7956379107512945487304413199186620675388) }}, 
+      {{ SC_(0.669950008392333984375), SC_(0.8106524185805045490744310224054265386895) }}, 
+      {{ SC_(0.6813662052154541015625), SC_(0.8316597473423232100463095038096703191227) }}, 
+      {{ SC_(0.6968657970428466796875), SC_(0.861181279065929560893743209045814929335) }}, 
+      {{ SC_(0.69818878173828125), SC_(0.8637579113749143394578018115274414809977) }}, 
+      {{ SC_(0.7447831630706787109375), SC_(0.9611360201710216528199065175645895870797) }}, 
+      {{ SC_(0.7518312931060791015625), SC_(0.9771540941752986840434538256366757954859) }}, 
+      {{ SC_(0.753439426422119140625), SC_(0.9808634133542228689124290623167881332843) }}, 
+      {{ SC_(0.7567856311798095703125), SC_(0.9886489208209698781284720459176833206972) }}, 
+      {{ SC_(0.781728267669677734375), SC_(1.049799171982895646434536064092181561482) }}, 
+      {{ SC_(0.8115026950836181640625), SC_(1.13141414441875853996497925019619325203) }}, 
+      {{ SC_(0.8146479129791259765625), SC_(1.140694775558441751141132778566016009721) }}, 
+      {{ SC_(0.8266689777374267578125), SC_(1.177523083369968036920622084233473757412) }}, 
+      {{ SC_(0.8313877582550048828125), SC_(1.192613822570143323026054454909849845367) }}, 
+      {{ SC_(0.83430385589599609375), SC_(1.202132332303961254992584113869002097916) }}, 
+      {{ SC_(0.8416652679443359375), SC_(1.226857064433516189319978030947873360052) }}, 
+      {{ SC_(0.85844135284423828125), SC_(1.287389667157365295856183109440507044615) }}, 
+      {{ SC_(0.8678996562957763671875), SC_(1.324504043392939851303939943290664403741) }}, 
+      {{ SC_(0.8679344654083251953125), SC_(1.324645130926160707039340948233535357264) }}, 
+      {{ SC_(0.8800599575042724609375), SC_(1.376033487778217701076449442272672558944) }}, 
+      {{ SC_(0.900353908538818359375), SC_(1.474085296119410724208965851686464033313) }}, 
+      {{ SC_(0.909944057464599609375), SC_(1.527199085186199482742984118973093246969) }}, 
+      {{ SC_(0.9142425060272216796875), SC_(1.552776894827300414876536030721521100862) }}, 
+      {{ SC_(0.9149219989776611328125), SC_(1.556931837197935820864845994901316963069) }}, 
+      {{ SC_(0.918490886688232421875), SC_(1.579289662838161287932020406856633071199) }}, 
+      {{ SC_(0.91889286041259765625), SC_(1.581866335942762753838726342973068309432) }}, 
+      {{ SC_(0.919395923614501953125), SC_(1.585108284332000716017087123313008639504) }}, 
+      {{ SC_(0.9296839237213134765625), SC_(1.656055522329536863771852381599659592259) }}, 
+      {{ SC_(0.929839611053466796875), SC_(1.6572041418041492174589693922205395004) }}, 
+      {{ SC_(0.9352962970733642578125), SC_(1.69909864336192661532416961180476119912) }}, 
+      {{ SC_(0.937641620635986328125), SC_(1.718164398807964846646482962730886595432) }}, 
+      {{ SC_(0.9410912990570068359375), SC_(1.747508407724663243809927907107491941803) }}, 
+      {{ SC_(0.96212291717529296875), SC_(1.973718016345510160586126866935192466646) }}, 
+      {{ SC_(0.974821567535400390625), SC_(2.181122777108378116176876272951870175355) }}, 
+      {{ SC_(0.976945400238037109375), SC_(2.225721449969825368029395993270411091677) }}, 
+      {{ SC_(0.985663890838623046875), SC_(2.465463560165053850170474882317767473537) }}, 
+      {{ SC_(0.98803806304931640625), SC_(2.556586922814200202245299755886851508354) }}, 
+      {{ SC_(0.9928233623504638671875), SC_(2.813238353909419376753157236188061588174) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/atanh_test.hpp b/src/boost/libs/math/test/atanh_test.hpp
new file mode 100644
index 00000000..e002402e
--- /dev/null
+++ b/src/boost/libs/math/test/atanh_test.hpp
@@ -0,0 +1,179 @@
+// unit test file atanh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+//#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/atanh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+template<typename T>
+T    atanh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::atanh;
+    
+    
+    static T const   epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = tanh(x);
+    T                z = atanh(y);
+    
+    T                absolute_error = abs(z-x);
+    T                relative_error = absolute_error/(cosh(x)*cosh(x));
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(atanh_test, T)
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+    using    ::std::log;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::atanh;
+    
+    
+    BOOST_TEST_MESSAGE("Testing atanh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(0))))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(3)/5) - log(static_cast<T>(2))))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(-3)/5) + log(static_cast<T>(2))))
+        (numeric_limits<T>::epsilon()));
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        T    x = static_cast<T>(i-50)/static_cast<T>(5);
+        T    y = tanh(x);
+        
+        if    (
+                (abs(y-static_cast<T>(1)) >= numeric_limits<T>::epsilon())&&
+                (abs(y+static_cast<T>(1)) >= numeric_limits<T>::epsilon())
+            )
+        {
+            BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+                (atanh_error_evaluator(x))
+                (static_cast<T>(4)));
+        }
+    }
+    //
+    // Error handling checks:
+    //
+    BOOST_MATH_CHECK_THROW(atanh(T(-1)), std::overflow_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(1)), std::overflow_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(2)), std::domain_error);
+}
+
+
+void    atanh_manual_check()
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+        
+    using    ::std::numeric_limits;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("atanh");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        float        xf = static_cast<float>(i-50)/static_cast<float>(5);
+        double       xd = static_cast<double>(i-50)/static_cast<double>(5);
+        long double  xl =
+                static_cast<long double>(i-50)/static_cast<long double>(5);
+        
+        float        yf = tanh(xf);
+        double       yd = tanh(xd);
+        (void) &yd;        // avoid "unused variable" warning
+        long double  yl = tanh(xl);
+        (void) &yl;        // avoid "unused variable" warning
+        
+        if    (
+                std::numeric_limits<float>::has_infinity &&
+                std::numeric_limits<double>::has_infinity &&
+                std::numeric_limits<long double>::has_infinity
+            )
+        {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+            BOOST_TEST_MESSAGE( ::std::setw(15)
+                        << atanh_error_evaluator(xf)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xd)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xl));
+#else
+            BOOST_TEST_MESSAGE( ::std::setw(15)
+                        << atanh_error_evaluator(xf)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xd));
+#endif
+        }
+        else
+        {
+            if    (
+                    (abs(yf-static_cast<float>(1)) <
+                        numeric_limits<float>::epsilon())||
+                    (abs(yf+static_cast<float>(1)) <
+                        numeric_limits<float>::epsilon())||
+                    (abs(yf-static_cast<double>(1)) <
+                        numeric_limits<double>::epsilon())||
+                    (abs(yf+static_cast<double>(1)) <
+                        numeric_limits<double>::epsilon())||
+                    (abs(yf-static_cast<long double>(1)) <
+                        numeric_limits<long double>::epsilon())||
+                    (abs(yf+static_cast<long double>(1)) <
+                        numeric_limits<long double>::epsilon())
+                )
+            {
+                BOOST_TEST_MESSAGE("Platform's numerics may lack precision.");
+            }
+            else
+            {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+                BOOST_TEST_MESSAGE( ::std::setw(15)
+                            << atanh_error_evaluator(xf)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xd)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xl));
+#else
+                BOOST_TEST_MESSAGE( ::std::setw(15)
+                            << atanh_error_evaluator(xf)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xd));
+#endif
+            }
+        }
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/bessel_i_data.ipp b/src/boost/libs/math/test/bessel_i_data.ipp
new file mode 100644
index 00000000..d95432c4
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_data.ipp
@@ -0,0 +1,234 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 225> bessel_i_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(0.4186983670927603951456761016615805321694e29) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(0.2032477564839492547710163141114983376107e7) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(0.7209773983625557491285409746913864781653e24) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(0.8754902581281478276585360070503782597115e9) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(0.1045354686776007657866756333678839303562e23) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(0.4716204450814114467834563893626508706616e10) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(0.3651466017937929635806605426551713742921e15) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(0.8566833579732135640262696128535710188301e14) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(-0.7703641421675666973721209829630518563931e10) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(0.1959694422054590004110877333169097220352e17) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(0.2934779151682606205400047286649505699432e23) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(0.6405675645065933411553551945741721563518e3) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(0.805557170418531409978537810934369410633e20) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(0.289105444853831500904637353663660192819e28) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.95070552825927734375e1), SC_(0.8806324212322684518238175986513600832194e17) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.24750102996826171875e2), SC_(0.3890036496141556574166698709019531196928e0) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.637722015380859375e2), SC_(0.3063025493893607419003502570490592505508e22) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.177219114266335964202880859375e-2), SC_(0.2803618162597370401397229001288041823179e-34) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.22177286446094512939453125e-2), SC_(0.229588528336937186404069781250920318956e-33) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1959749964125288689721223617361145955449e-28) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1433600485324859619140625e-1), SC_(0.9133296812900414557505943321740418454784e-26) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1760916970670223236083984375e-1), SC_(0.6281058749227662133654486730221725796013e-25) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6152711808681488037109375e-1), SC_(0.7806782632836478900912324974768292604178e-20) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.11958599090576171875e0), SC_(0.3969270921873940596846801055093851364249e-17) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.15262925624847412109375e0), SC_(0.3911054564312661834266087273264220427648e-16) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.408089816570281982421875e0), SC_(0.3968059264413538749627636752562708954912e-12) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6540834903717041015625e0), SC_(0.3328913174482554006724623549002084389481e-10) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1097540378570556640625e1), SC_(0.4345996628731497806117301412025701409681e-8) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.30944411754608154296875e1), SC_(0.8821763783526972687094781579187606888861e-4) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.51139926910400390625e1), SC_(0.1440790625360570911757430559538249450382e-1) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.95070552825927734375e1), SC_(0.1943226931700462962154856194109129706652e2) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.24750102996826171875e2), SC_(0.7543097629536504483214121556669228286985e9) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.637722015380859375e2), SC_(0.1242187462089386651190442543425398784833e27) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.177219114266335964202880859375e-2), SC_(0.148982667418264205724082321914073417083e-34) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.22177286446094512939453125e-2), SC_(0.1238718017352724275257612770297545398575e-33) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1147864422785975785379486658863341965539e-28) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1433600485324859619140625e-1), SC_(0.559265688248480010364759849989645260096e-26) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1760916970670223236083984375e-1), SC_(0.3900141694706919558831468837845481277321e-25) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6152711808681488037109375e-1), SC_(0.5276757393757080096863772555264582929817e-20) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.11958599090576171875e0), SC_(0.2806586679017851973719099727210813946663e-17) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.15262925624847412109375e0), SC_(0.2811556875187931972313758314199441466104e-16) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.408089816570281982421875e0), SC_(0.3049214538640230343488562864541510399665e-12) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6540834903717041015625e0), SC_(0.2641125801178791553193637198564322320001e-10) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1097540378570556640625e1), SC_(0.3570822482377035574485486720053965916982e-8) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.30944411754608154296875e1), SC_(0.7766278241102208401170874203781603111746e-4) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.51139926910400390625e1), SC_(0.1309298511678054464902027194534409538646e-1) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.95070552825927734375e1), SC_(0.1827999074103902886609783889480769570524e2) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.24750102996826171875e2), SC_(0.7351908192175552948778255155781258947671e9) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.637722015380859375e2), SC_(0.1229766721665510769829680551623499922036e27) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.8225184464794312214427441884602794315635e-108) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.22177286446094512939453125e-2), SC_(0.3114921421876925970246827842503222114267e-105) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2604432142391172275446430144882881083067e-91) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1433600485324859619140625e-1), SC_(0.8900355057385521217383601748827962581012e-84) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2058868164797190179746749314402013402828e-81) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.6152711808681488037109375e-1), SC_(0.4972024613715337297288025064797981454153e-67) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.11958599090576171875e0), SC_(0.2171276940537634328598470815758727598254e-59) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.15262925624847412109375e0), SC_(0.1385612106461115669282812891998412819968e-56) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.408089816570281982421875e0), SC_(0.2810683753661952718697857543641460074915e-45) }}, 
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+      {{ SC_(0.937735595703125e2), SC_(0.6152711808681488037109375e-1), SC_(0.425242480570104524943002347341364243555e-287) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.11958599090576171875e0), SC_(0.4931576672624963195999096534426325149741e-260) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.15262925624847412109375e0), SC_(0.4256045789264947383412434711022341543066e-250) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.408089816570281982421875e0), SC_(0.4803333698331891418314823264599934301891e-210) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.6540834903717041015625e0), SC_(0.7832996865729431858502081794565744300833e-191) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1097540378570556640625e1), SC_(0.9417267690858043031227540308585633026951e-170) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.30944411754608154296875e1), SC_(0.157318806580738139722298745038219284193e-127) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.51139926910400390625e1), SC_(0.4732364164074862900105799445314181870355e-107) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.95070552825927734375e1), SC_(0.1001021317453180716256526810273777626779e-81) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.24750102996826171875e2), SC_(0.3620919659244281764247766012640646618795e-42) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.637722015380859375e2), SC_(0.6905128242941598516051984956052879129643e0) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.9336746634488322706414234865292535693528e-456) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.22177286446094512939453125e-2), SC_(0.3726585870845834794923875248455908817372e-446) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2601610550455548941598264605766950216075e-394) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1433600485324859619140625e-1), SC_(0.2946579103606572296568332778405704339447e-366) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.187601891562751902089087302157938087049e-357) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.6152711808681488037109375e-1), SC_(0.6799154838478458841616493729745617835238e-304) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.11958599090576171875e0), SC_(0.1918358571470383749967177500137981440808e-275) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.15262925624847412109375e0), SC_(0.5343578537582739461840941918655264976087e-265) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.408089816570281982421875e0), SC_(0.6787062833732678279692755114282109142003e-223) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.6540834903717041015625e0), SC_(0.1066640939494771247816497353023791644911e-202) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1097540378570556640625e1), SC_(0.1540136528087774369513263265420126735826e-180) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.30944411754608154296875e1), SC_(0.3732038034481165129234044502070414699443e-136) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.51139926910400390625e1), SC_(0.1250755987062674994392330438153044634978e-114) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.95070552825927734375e1), SC_(0.5155910228741865630530748597345526561019e-88) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.24750102996826171875e2), SC_(0.173088587965140287251789752425440165731e-46) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(0.2139803586023867005821680732168695726563e-2) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.177219114266335964202880859375e-2), SC_(0.2261194572892689144464257783997217591003e-459) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.22177286446094512939453125e-2), SC_(0.1059718907506904441739516643053360474766e-449) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1760708480112020640215899721963204640613e-397) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1433600485324859619140625e-1), SC_(0.3188104531258877486126505505288677161449e-369) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2351789542752206704101133488009018496105e-360) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.6152711808681488037109375e-1), SC_(0.2087568008199554926652533137918586792421e-306) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.11958599090576171875e0), SC_(0.9479028425669903092514832066160512980969e-278) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.15262925624847412109375e0), SC_(0.3144358707762065981613586172661430942717e-267) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.408089816570281982421875e0), SC_(0.8076041994016289659837261163786154124696e-225) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.6540834903717041015625e0), SC_(0.1779204438764558957337121273226739006915e-204) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1097540378570556640625e1), SC_(0.3721424984805355820747068117876586135294e-182) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.30944411754608154296875e1), SC_(0.1893861897195351427223854481637771374334e-137) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.51139926910400390625e1), SC_(0.9092055250182067057531632044074461256826e-116) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.95070552825927734375e1), SC_(0.5835883537392851212536191805017949717878e-89) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.24750102996826171875e2), SC_(0.3851491419574571630736597349656750764496e-47) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(0.8891727416380076726409331943293544170762e-3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_i_int_data.ipp b/src/boost/libs/math/test/bessel_i_int_data.ipp
new file mode 100644
index 00000000..c0b57114
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_int_data.ipp
@@ -0,0 +1,504 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 495> bessel_i_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.1000000785165515654790765567976560128368e1) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.1000001229580463247166647265657459686513e1) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.1000013855193023439561602999309818071557e1) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.100005138091877460790808253311381371617e1) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.1000077522216818092267597684468025144708e1) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.1000946620505179168127565717529250425225e1) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.1003578399092795290959506558979668000986e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.1005832407473077490942708958509537944332e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.1042069688780878266908906813963061201236e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.1109850431257999241542412962070021625239e1) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.1324594459649893673687924138468203300537e1) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.5270503008520823311035815313268274322688e1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(0.3016460113324413124385977969424656719006e2) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.1765221230864037183559483071058505259281e4) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(0.4520582716299093122418957895745838047526e10) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.248523599457696979135532431768725854655e27) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.8860959191975001520307655146348128981208e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.1108865004023609343492425973877677708278e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.3722275782133396649790935284938128705517e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.7168186575111060974651037851905127311172e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.8804926126614467969087386987026758424778e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.307781186030490619563031243121873491391e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.5989994518931145664339323232552863277613e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.7653706917131299515526663760316122678536e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.2083221213089251435227012018452735830071e0) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.3448458972066057120326871217765728528051e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.6356539293968716593197570138590683019623e0) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.4304586767845429639244166020309162877221e1) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(0.2702631060982870150322284389310299253322e2) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.1669630395093490324472744646621461529409e4) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(0.4428295881367777978681563662886643036499e10) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(0.2465673119157042745018873572402000151201e27) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(0.2568686424002909205919386454789887238475e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(0.629944815795979203946014830217428242984e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(0.7998565658415621562337103146472082554028e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(0.1099982550547901452676110099180043770797e-9) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(0.250398097475533981445277556832601328223e-9) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(0.3732650011579987791541719677211396374467e-7) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(0.5329672477129410019119113447394893295596e-6) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(0.141489997131418627857066995095369938696e-5) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(0.7282921216911263304294810852632628068137e-4) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(0.4869396484162391070562181449261259775595e-3) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(0.4012161862208555247000124967949382739361e-2) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.3787138783037547310647400896688635049979e0) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(0.5868359078308841151534796428362771527491e1) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(0.7357193068805439491961808818463893925223e3) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(0.3252313835173492963089917060960028522653e10) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(0.2190135725660260903026664293135379072029e27) }}, 
+      {{ SC_(0.7e1), SC_(0.177219114266335964202880859375e-2), SC_(0.8510076576264637138875125872170131898096e-25) }}, 
+      {{ SC_(0.7e1), SC_(0.22177286446094512939453125e-2), SC_(0.4089953800055587124509461216692582736447e-24) }}, 
+      {{ SC_(0.7e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1964305273103342680910343954984308619768e-20) }}, 
+      {{ SC_(0.7e1), SC_(0.1433600485324859619140625e-1), SC_(0.1929120066647206188436854652387114727807e-18) }}, 
+      {{ SC_(0.7e1), SC_(0.1760916970670223236083984375e-1), SC_(0.8138340472907783210251698976282644477818e-18) }}, 
+      {{ SC_(0.7e1), SC_(0.6152711808681488037109375e-1), SC_(0.5174601186268260520938521328073083909595e-14) }}, 
+      {{ SC_(0.7e1), SC_(0.11958599090576171875e0), SC_(0.542395054389276152812978441225258183457e-12) }}, 
+      {{ SC_(0.7e1), SC_(0.15262925624847412109375e0), SC_(0.299323047925904744170833613652767758086e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.408089816570281982421875e0), SC_(0.2937036464827401981806966262136490086826e-8) }}, 
+      {{ SC_(0.7e1), SC_(0.6540834903717041015625e0), SC_(0.8046255455349868199127611214199975918109e-7) }}, 
+      {{ SC_(0.7e1), SC_(0.1097540378570556640625e1), SC_(0.3087574366778968153326883525133715811508e-5) }}, 
+      {{ SC_(0.7e1), SC_(0.30944411754608154296875e1), SC_(0.5653447566166178294962968673241498039082e-2) }}, 
+      {{ SC_(0.7e1), SC_(0.51139926910400390625e1), SC_(0.3104877913933256744262177732064662628008e0) }}, 
+      {{ SC_(0.7e1), SC_(0.95070552825927734375e1), SC_(0.1318882152673454326811262619237084813807e3) }}, 
+      {{ SC_(0.7e1), SC_(0.24750102996826171875e2), SC_(0.1657171203518438763471041373689390646813e10) }}, 
+      {{ SC_(0.7e1), SC_(0.637722015380859375e2), SC_(0.1687969369952926235916289436609130146855e27) }}, 
+      {{ SC_(0.1e2), SC_(0.177219114266335964202880859375e-2), SC_(0.8223234174016769910080935836038629086129e-37) }}, 
+      {{ SC_(0.1e2), SC_(0.22177286446094512939453125e-2), SC_(0.7744994585234402998026715482431864809177e-36) }}, 
+      {{ SC_(0.1e2), SC_(0.7444499991834163665771484375e-2), SC_(0.140699610530434722230776594136166384761e-30) }}, 
+      {{ SC_(0.1e2), SC_(0.1433600485324859619140625e-1), SC_(0.9867802131594229578497672216212381206342e-28) }}, 
+      {{ SC_(0.1e2), SC_(0.1760916970670223236083984375e-1), SC_(0.7714874409767011750174102200723123371757e-27) }}, 
+      {{ SC_(0.1e2), SC_(0.6152711808681488037109375e-1), SC_(0.2092377824573518684672948738047686808098e-21) }}, 
+      {{ SC_(0.1e2), SC_(0.11958599090576171875e0), SC_(0.161020520917686222303614853893004305517e-18) }}, 
+      {{ SC_(0.1e2), SC_(0.15262925624847412109375e0), SC_(0.1847331437121988828659943855683029847574e-17) }}, 
+      {{ SC_(0.1e2), SC_(0.408089816570281982421875e0), SC_(0.3460494035292646148422797589423437304445e-13) }}, 
+      {{ SC_(0.1e2), SC_(0.6540834903717041015625e0), SC_(0.3894842946330373264656841132859435813454e-11) }}, 
+      {{ SC_(0.1e2), SC_(0.1097540378570556640625e1), SC_(0.7014848610606988360553920593019620983893e-9) }}, 
+      {{ SC_(0.1e2), SC_(0.30944411754608154296875e1), SC_(0.2688034653083270014812653556923722759657e-4) }}, 
+      {{ SC_(0.1e2), SC_(0.51139926910400390625e1), SC_(0.5883608669420951460953858890820260901642e-2) }}, 
+      {{ SC_(0.1e2), SC_(0.95070552825927734375e1), SC_(0.1093507510277669423960436015414354945337e2) }}, 
+      {{ SC_(0.1e2), SC_(0.24750102996826171875e2), SC_(0.5917457915288690964012606008596472223686e9) }}, 
+      {{ SC_(0.1e2), SC_(0.637722015380859375e2), SC_(0.1129466336865796349694848290694042226462e27) }}, 
+      {{ SC_(0.13e2), SC_(0.177219114266335964202880859375e-2), SC_(0.3334011286277694028669539285669885563166e-49) }}, 
+      {{ SC_(0.13e2), SC_(0.22177286446094512939453125e-2), SC_(0.6153738758043090277122480232744400184223e-48) }}, 
+      {{ SC_(0.13e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4228556218314688954181791384498131827781e-41) }}, 
+      {{ SC_(0.13e2), SC_(0.1433600485324859619140625e-1), SC_(0.2117859499568276103587689359158579219165e-37) }}, 
+      {{ SC_(0.13e2), SC_(0.1760916970670223236083984375e-1), SC_(0.3068580854652108160425423230103324526003e-36) }}, 
+      {{ SC_(0.13e2), SC_(0.6152711808681488037109375e-1), SC_(0.354996892487294926273047608799400251176e-29) }}, 
+      {{ SC_(0.13e2), SC_(0.11958599090576171875e0), SC_(0.2005786158653338640126467535312809972599e-25) }}, 
+      {{ SC_(0.13e2), SC_(0.15262925624847412109375e0), SC_(0.4784115376425512596092514679649054496976e-24) }}, 
+      {{ SC_(0.13e2), SC_(0.408089816570281982421875e0), SC_(0.1711772323228039445264854631251211491723e-18) }}, 
+      {{ SC_(0.13e2), SC_(0.6540834903717041015625e0), SC_(0.7922791477017998377388657609963942307393e-16) }}, 
+      {{ SC_(0.13e2), SC_(0.1097540378570556640625e1), SC_(0.6716323224025831832505193136394393092916e-13) }}, 
+      {{ SC_(0.13e2), SC_(0.30944411754608154296875e1), SC_(0.5542968221483836259279888714065628022048e-7) }}, 
+      {{ SC_(0.13e2), SC_(0.51139926910400390625e1), SC_(0.5081514739534627446729224579266224585244e-4) }}, 
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+      {{ SC_(0.67e2), SC_(0.11958599090576171875e0), SC_(0.2976080454780070131652687845254578786778e-176) }}, 
+      {{ SC_(0.67e2), SC_(0.15262925624847412109375e0), SC_(0.3739472000953063909501613448588687457119e-169) }}, 
+      {{ SC_(0.67e2), SC_(0.408089816570281982421875e0), SC_(0.1548613210047140776105471826780937390242e-140) }}, 
+      {{ SC_(0.67e2), SC_(0.6540834903717041015625e0), SC_(0.8263193751493687283195945930118436171448e-127) }}, 
+      {{ SC_(0.67e2), SC_(0.1097540378570556640625e1), SC_(0.9531001594119617180115060699004781472022e-112) }}, 
+      {{ SC_(0.67e2), SC_(0.30944411754608154296875e1), SC_(0.1423429375392353585102712760378566415253e-81) }}, 
+      {{ SC_(0.67e2), SC_(0.51139926910400390625e1), SC_(0.6276199872704888189953779431744609272855e-67) }}, 
+      {{ SC_(0.67e2), SC_(0.95070552825927734375e1), SC_(0.8751710351217371349774248758780557808399e-49) }}, 
+      {{ SC_(0.67e2), SC_(0.24750102996826171875e2), SC_(0.399443014585480721312551749526965287716e-20) }}, 
+      {{ SC_(0.67e2), SC_(0.637722015380859375e2), SC_(0.1303190285326414512188004605064925401042e13) }}, 
+      {{ SC_(0.7e2), SC_(0.177219114266335964202880859375e-2), SC_(0.175887342640394106189151976112543057962e-313) }}, 
+      {{ SC_(0.7e2), SC_(0.7444499991834163665771484375e-2), SC_(0.7550621788530834428425404682332589500832e-270) }}, 
+      {{ SC_(0.7e2), SC_(0.1433600485324859619140625e-1), SC_(0.6301810450616594782432087551850756373668e-250) }}, 
+      {{ SC_(0.7e2), SC_(0.1760916970670223236083984375e-1), SC_(0.1125167731015917733561916583817457784138e-243) }}, 
+      {{ SC_(0.7e2), SC_(0.6152711808681488037109375e-1), SC_(0.1213839287680701613177842094136722210551e-205) }}, 
+      {{ SC_(0.7e2), SC_(0.11958599090576171875e0), SC_(0.1937040012939367633269395257833394549994e-185) }}, 
+      {{ SC_(0.7e2), SC_(0.15262925624847412109375e0), SC_(0.5060297469126818749198761907151271684388e-178) }}, 
+      {{ SC_(0.7e2), SC_(0.408089816570281982421875e0), SC_(0.4005465233840990833504194622177985321517e-148) }}, 
+      {{ SC_(0.7e2), SC_(0.6540834903717041015625e0), SC_(0.8799796018332889235436642767544430577921e-134) }}, 
+      {{ SC_(0.7e2), SC_(0.1097540378570556640625e1), SC_(0.4794825121102189651189070515356607000206e-118) }}, 
+      {{ SC_(0.7e2), SC_(0.30944411754608154296875e1), SC_(0.1602843216269687242254187608050533636733e-86) }}, 
+      {{ SC_(0.7e2), SC_(0.51139926910400390625e1), SC_(0.3181779993739836562974728016162666336895e-71) }}, 
+      {{ SC_(0.7e2), SC_(0.95070552825927734375e1), SC_(0.2822466596594199323749265377605991268801e-52) }}, 
+      {{ SC_(0.7e2), SC_(0.24750102996826171875e2), SC_(0.2104365489296975788813919994670728216215e-22) }}, 
+      {{ SC_(0.7e2), SC_(0.637722015380859375e2), SC_(0.7844318561221098998292957969567564923615e11) }}, 
+      {{ SC_(0.73e2), SC_(0.177219114266335964202880859375e-2), SC_(0.3279159790515129976232600411030994939645e-328) }}, 
+      {{ SC_(0.73e2), SC_(0.22177286446094512939453125e-2), SC_(0.4224790877225924823386404075215067890494e-321) }}, 
+      {{ SC_(0.73e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1043483587404467322105724165693680432988e-282) }}, 
+      {{ SC_(0.73e2), SC_(0.1433600485324859619140625e-1), SC_(0.6219365054628790184510838867649950741467e-262) }}, 
+      {{ SC_(0.73e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2057928083398578974258661409116904762983e-255) }}, 
+      {{ SC_(0.73e2), SC_(0.6152711808681488037109375e-1), SC_(0.9470152726761824765032042182394011675392e-216) }}, 
+      {{ SC_(0.73e2), SC_(0.11958599090576171875e0), SC_(0.1109621677740774224342517916855017900658e-194) }}, 
+      {{ SC_(0.73e2), SC_(0.15262925624847412109375e0), SC_(0.6026765241850857913163429093708050618843e-187) }}, 
+      {{ SC_(0.73e2), SC_(0.408089816570281982421875e0), SC_(0.9118139298541229295297403648253683737698e-156) }}, 
+      {{ SC_(0.73e2), SC_(0.6540834903717041015625e0), SC_(0.8247872764458903831476787586065099347135e-141) }}, 
+      {{ SC_(0.73e2), SC_(0.1097540378570556640625e1), SC_(0.2123029007982407474621311100276015417167e-124) }}, 
+      {{ SC_(0.73e2), SC_(0.30944411754608154296875e1), SC_(0.1588696020280731697227952432556978774771e-91) }}, 
+      {{ SC_(0.73e2), SC_(0.51139926910400390625e1), SC_(0.1420130918879929727408563849006120293294e-75) }}, 
+      {{ SC_(0.73e2), SC_(0.95070552825927734375e1), SC_(0.8020381326448500037051674847470025971321e-56) }}, 
+      {{ SC_(0.73e2), SC_(0.24750102996826171875e2), SC_(0.9826710538792853844402410449812254638335e-25) }}, 
+      {{ SC_(0.73e2), SC_(0.637722015380859375e2), SC_(0.4293839369539487481259198718773671804064e10) }}, 
+      {{ SC_(0.76e2), SC_(0.177219114266335964202880859375e-2), SC_(0.5408759889893148190520203529735474973187e-343) }}, 
+      {{ SC_(0.76e2), SC_(0.22177286446094512939453125e-2), SC_(0.1365632588234360977374366339815548997377e-335) }}, 
+      {{ SC_(0.76e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1275838367710964746430025849813881543957e-295) }}, 
+      {{ SC_(0.76e2), SC_(0.1433600485324859619140625e-1), SC_(0.5430425912637421039353201453109713889038e-274) }}, 
+      {{ SC_(0.76e2), SC_(0.1760916970670223236083984375e-1), SC_(0.3330046136342914006909942281157109406199e-267) }}, 
+      {{ SC_(0.76e2), SC_(0.6152711808681488037109375e-1), SC_(0.6536720629329230577091818914690091163553e-226) }}, 
+      {{ SC_(0.76e2), SC_(0.11958599090576171875e0), SC_(0.5623652442375975181466641168529807893221e-204) }}, 
+      {{ SC_(0.76e2), SC_(0.15262925624847412109375e0), SC_(0.6350380451255890749856575267278817991626e-196) }}, 
+      {{ SC_(0.76e2), SC_(0.408089816570281982421875e0), SC_(0.183640054565323298205707300952041465441e-163) }}, 
+      {{ SC_(0.76e2), SC_(0.6540834903717041015625e0), SC_(0.6839439254682699613485852891479608181366e-148) }}, 
+      {{ SC_(0.76e2), SC_(0.1097540378570556640625e1), SC_(0.8316719082770017371804750065668802553579e-131) }}, 
+      {{ SC_(0.76e2), SC_(0.30944411754608154296875e1), SC_(0.1393297633857098951754512416010366098401e-96) }}, 
+      {{ SC_(0.76e2), SC_(0.51139926910400390625e1), SC_(0.5609441790373577387000154824729897241791e-80) }}, 
+      {{ SC_(0.76e2), SC_(0.95070552825927734375e1), SC_(0.2018365197172710168614503238313291896062e-59) }}, 
+      {{ SC_(0.76e2), SC_(0.24750102996826171875e2), SC_(0.4085433998985207824201599332796010854695e-27) }}, 
+      {{ SC_(0.76e2), SC_(0.637722015380859375e2), SC_(0.2142103160400899021062036922016113667452e9) }}, 
+      {{ SC_(0.79e2), SC_(0.177219114266335964202880859375e-2), SC_(0.7930982305179989580158425245351456663586e-358) }}, 
+      {{ SC_(0.79e2), SC_(0.22177286446094512939453125e-2), SC_(0.3924250147523408219992167518859050391414e-350) }}, 
+      {{ SC_(0.79e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1386755351840733324704199171711908798229e-308) }}, 
+      {{ SC_(0.79e2), SC_(0.1433600485324859619140625e-1), SC_(0.4215177758474358774763535279898355939459e-286) }}, 
+      {{ SC_(0.79e2), SC_(0.1760916970670223236083984375e-1), SC_(0.4790319326701827605381983744427272324794e-279) }}, 
+      {{ SC_(0.79e2), SC_(0.6152711808681488037109375e-1), SC_(0.4011040414527164043809376106988478947351e-236) }}, 
+      {{ SC_(0.79e2), SC_(0.11958599090576171875e0), SC_(0.253370605560492432574321731615139964047e-213) }}, 
+      {{ SC_(0.79e2), SC_(0.15262925624847412109375e0), SC_(0.5948527457011269418607542342494814436562e-205) }}, 
+      {{ SC_(0.79e2), SC_(0.408089816570281982421875e0), SC_(0.3287936896920888923522197582153467750847e-171) }}, 
+      {{ SC_(0.79e2), SC_(0.6540834903717041015625e0), SC_(0.5041909325640412505781517484471102307831e-155) }}, 
+      {{ SC_(0.79e2), SC_(0.1097540378570556640625e1), SC_(0.2896326090972206182393839086729167150143e-137) }}, 
+      {{ SC_(0.79e2), SC_(0.30944411754608154296875e1), SC_(0.1086380977296709087208790251658448356189e-101) }}, 
+      {{ SC_(0.79e2), SC_(0.51139926910400390625e1), SC_(0.1970229546359244151730974118220967814952e-84) }}, 
+      {{ SC_(0.79e2), SC_(0.95070552825927734375e1), SC_(0.4519411101705219203865562848704682354613e-63) }}, 
+      {{ SC_(0.79e2), SC_(0.24750102996826171875e2), SC_(0.1518463586382666158992394326311743396678e-29) }}, 
+      {{ SC_(0.79e2), SC_(0.637722015380859375e2), SC_(0.9760490072697396207873117894195488769342e7) }}, 
+      {{ SC_(0.82e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1038436202803785426388133600179459730169e-372) }}, 
+      {{ SC_(0.82e2), SC_(0.22177286446094512939453125e-2), SC_(0.1006938753460328462474122574448053771171e-364) }}, 
+      {{ SC_(0.82e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1345945900323246361787623818357538331624e-321) }}, 
+      {{ SC_(0.82e2), SC_(0.1433600485324859619140625e-1), SC_(0.292160471475819054556258294299816966923e-298) }}, 
+      {{ SC_(0.82e2), SC_(0.1760916970670223236083984375e-1), SC_(0.6153217141248195324459719214887728749464e-291) }}, 
+      {{ SC_(0.82e2), SC_(0.6152711808681488037109375e-1), SC_(0.2197747157001515487720136860444751064868e-246) }}, 
+      {{ SC_(0.82e2), SC_(0.11958599090576171875e0), SC_(0.1019336562451156029299163377789061540366e-222) }}, 
+      {{ SC_(0.82e2), SC_(0.15262925624847412109375e0), SC_(0.4975570065935101711688291197874212937039e-214) }}, 
+      {{ SC_(0.82e2), SC_(0.408089816570281982421875e0), SC_(0.5256585491004637978784987888275707136183e-179) }}, 
+      {{ SC_(0.82e2), SC_(0.6540834903717041015625e0), SC_(0.3318904542226912390049207214862611260169e-162) }}, 
+      {{ SC_(0.82e2), SC_(0.1097540378570556640625e1), SC_(0.9006810914088316982393635835954853735918e-144) }}, 
+      {{ SC_(0.82e2), SC_(0.30944411754608154296875e1), SC_(0.7564505234377340524197089618341840082876e-107) }}, 
+      {{ SC_(0.82e2), SC_(0.51139926910400390625e1), SC_(0.6180693935663269590148206442946860331756e-89) }}, 
+      {{ SC_(0.82e2), SC_(0.95070552825927734375e1), SC_(0.9043352144198374855605316967339611243444e-67) }}, 
+      {{ SC_(0.82e2), SC_(0.24750102996826171875e2), SC_(0.5065035140645080960031365557479815802671e-32) }}, 
+      {{ SC_(0.82e2), SC_(0.637722015380859375e2), SC_(0.4070462729680846577801828424629699736782e6) }}, 
+      {{ SC_(0.85e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1219116513647314073579445140073826698962e-387) }}, 
+      {{ SC_(0.85e2), SC_(0.22177286446094512939453125e-2), SC_(0.2316658303570511364023325655883461576972e-379) }}, 
+      {{ SC_(0.85e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1171299375215890527495299558278169129332e-334) }}, 
+      {{ SC_(0.85e2), SC_(0.1433600485324859619140625e-1), SC_(0.1815681105495951303009870770747843010446e-310) }}, 
+      {{ SC_(0.85e2), SC_(0.1760916970670223236083984375e-1), SC_(0.708683910208375847232135348016178171053e-303) }}, 
+      {{ SC_(0.85e2), SC_(0.6152711808681488037109375e-1), SC_(0.1079719594775910837503589945246873551394e-256) }}, 
+      {{ SC_(0.85e2), SC_(0.11958599090576171875e0), SC_(0.3676982627128526557346333692497334159336e-232) }}, 
+      {{ SC_(0.85e2), SC_(0.15262925624847412109375e0), SC_(0.3731546483902763830031124428268564725393e-223) }}, 
+      {{ SC_(0.85e2), SC_(0.408089816570281982421875e0), SC_(0.7535240432188811873875509550682990477762e-187) }}, 
+      {{ SC_(0.85e2), SC_(0.6540834903717041015625e0), SC_(0.1958883058289393975902194279609190904406e-169) }}, 
+      {{ SC_(0.85e2), SC_(0.1097540378570556640625e1), SC_(0.2511373518429964095251580585112467258299e-150) }}, 
+      {{ SC_(0.85e2), SC_(0.30944411754608154296875e1), SC_(0.4723067963574572650298919057601100049465e-112) }}, 
+      {{ SC_(0.85e2), SC_(0.51139926910400390625e1), SC_(0.1738839346363387627371195241710367004536e-93) }}, 
+      {{ SC_(0.85e2), SC_(0.95070552825927734375e1), SC_(0.1623663257276872998800059443147901760439e-70) }}, 
+      {{ SC_(0.85e2), SC_(0.24750102996826171875e2), SC_(0.1521743437932867300705177236196212703582e-34) }}, 
+      {{ SC_(0.85e2), SC_(0.637722015380859375e2), SC_(0.1556799959129105832955966318088587426661e5) }}, 
+      {{ SC_(0.88e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1288209613593357571142720689583005763762e-402) }}, 
+      {{ SC_(0.88e2), SC_(0.22177286446094512939453125e-2), SC_(0.4797299543775689080036441106208914106219e-394) }}, 
+      {{ SC_(0.88e2), SC_(0.7444499991834163665771484375e-2), SC_(0.9174536812416633326341915508185869175459e-348) }}, 
+      {{ SC_(0.88e2), SC_(0.1433600485324859619140625e-1), SC_(0.1015625556161420986205394396723116662882e-322) }}, 
+      {{ SC_(0.88e2), SC_(0.1760916970670223236083984375e-1), SC_(0.7346472096657986490100705296779319049912e-315) }}, 
+      {{ SC_(0.88e2), SC_(0.6152711808681488037109375e-1), SC_(0.4774415143129565154141226398131338281536e-267) }}, 
+      {{ SC_(0.88e2), SC_(0.11958599090576171875e0), SC_(0.119382735471855848143552750474098416176e-241) }}, 
+      {{ SC_(0.88e2), SC_(0.15262925624847412109375e0), SC_(0.2518899646481384301970914279883481939291e-232) }}, 
+      {{ SC_(0.88e2), SC_(0.408089816570281982421875e0), SC_(0.9722253412784373652536121925492657625805e-195) }}, 
+      {{ SC_(0.88e2), SC_(0.6540834903717041015625e0), SC_(0.1040637574745703228070355356117916659304e-176) }}, 
+      {{ SC_(0.88e2), SC_(0.1097540378570556640625e1), SC_(0.6302766367711271660992485559308335862541e-157) }}, 
+      {{ SC_(0.88e2), SC_(0.30944411754608154296875e1), SC_(0.2654441873858763831864401113742713122992e-117) }}, 
+      {{ SC_(0.88e2), SC_(0.51139926910400390625e1), SC_(0.4403904099603861384280491749834790369519e-98) }}, 
+      {{ SC_(0.88e2), SC_(0.95070552825927734375e1), SC_(0.262551184129831686961964273106436690334e-74) }}, 
+      {{ SC_(0.88e2), SC_(0.24750102996826171875e2), SC_(0.4131930234604820436302932418803598894853e-37) }}, 
+      {{ SC_(0.88e2), SC_(0.637722015380859375e2), SC_(0.5471250742874498784335752261273680101442e3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_i_prime_data.ipp b/src/boost/libs/math/test/bessel_i_prime_data.ipp
new file mode 100644
index 00000000..c6cde69d
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_prime_data.ipp
@@ -0,0 +1,477 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 450
+#if LDBL_MAX_10_EXP < 370
+      - 36
+#endif
+   > bessel_i_prime_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(-142534136299562130024973134221.99005521993999868526) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(3266802.8196736368245987228932389940584716010368863) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(-2291130167743201604923486.7470168394180873251146683) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(1344490102.0814298977326531771280029458266767233075) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(-32540376529649616064637.054384142008796248247633549) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(7147268346.3248078929703647247611304885252038670462) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(-990349288161909.27877000203289482196681509723184343) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(119443067019517.62291415298106980016813953495181988) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(19023942618.631889641004140617446508059806168301492) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(25951554033686744.924489835522535920574130661280939) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(-139935955680816392142241.6017739312504406079396547) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(-1316.4819205264052438206308151294983883218464343657) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(97659860560077602476.5334648266576340476103312936) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(-21886385122041931939808640058.436968667167426884987) }}, 
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+      {{ SC_(-0.93762989044189453125e1), SC_(0.6540834903717041015625e0), SC_(13532335926.658068996843002543835788336523147488057) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.1097540378570556640625e1), SC_(61801568.108314261951666324064578498185658122747007) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.30944411754608154296875e1), SC_(1084.4874571704103314624633698779779585749183060697) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.51139926910400390625e1), SC_(4.0706523491953985430915865382707182818496973019714) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.95070552825927734375e1), SC_(26.79170035854544765328152997059591620396081015675) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.24750102996826171875e2), SC_(793253115.04894282078793518265852873411745046750291) }}, 
+      {{ SC_(-0.93762989044189453125e1), SC_(0.637722015380859375e2), SC_(124597532591880012929558741.1798487805702969053126) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.177219114266335964202880859375e-2), SC_(11870701914724842965194669916327701131.111840859821) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.22177286446094512939453125e-2), SC_(1140884938788284296084979810184674007.6366447698394) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.7444499991834163665771484375e-2), SC_(3667723528588485205714315779958.3063861649905112593) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.1433600485324859619140625e-1), SC_(3909096978895984818921041899.8191320873607036987618) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.1760916970670223236083984375e-1), SC_(456355745302161343536567751.76956955007850507294856) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.6152711808681488037109375e-1), SC_(965361539479369750508.56484522640607318330844354314) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.11958599090576171875e0), SC_(933829668081199677.26358508845402817098996576995208) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.15262925624847412109375e0), SC_(73037200065805757.733169112925360069442635405483859) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.408089816570281982421875e0), SC_(2518965714687.7696670995135554526164544979014221313) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.6540834903717041015625e0), SC_(18147262562.295332045114732062710295772042786857805) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.1097540378570556640625e1), SC_(80027886.603886422772495691225695338614045140777889) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.30944411754608154296875e1), SC_(1310.5469354285125789356457692777860602279344600227) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.51139926910400390625e1), SC_(4.757514563416710981803710625424785534165034543161) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.95070552825927734375e1), SC_(25.298534520252848859340530281359818905979421880685) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.24750102996826171875e2), SC_(773887818.69440844101710062758038002632576657267) }}, 
+      {{ SC_(-0.944411754608154296875e1), SC_(0.637722015380859375e2), SC_(123371059205722849456522471.39199589118773988433275) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.177219114266335964202880859375e-2), SC_(-2.1751730239996037998402370047417815154802286090672e+110) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.22177286446094512939453125e-2), SC_(-4.5898079665211512903977572880548217813170151922414e+107) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.7444499991834163665771484375e-2), SC_(-1.6353150631751658694079459804859213337246715783426e+93) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.1433600485324859619140625e-1), SC_(-2.4849322229625889034431233440642338653899498830157e+85) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.1760916970670223236083984375e-1), SC_(-8.7454588988563154461495834998823425954748930956891e+82) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.6152711808681488037109375e-1), SC_(-1.0364544437424619262245615760036930677335297563156e+68) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.11958599090576171875e0), SC_(-1.2211096345203577463660938657353700536987732728768e+60) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.15262925624847412109375e0), SC_(-1.499238867403323448115733971215370840685965820221e+57) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.408089816570281982421875e0), SC_(-2764293976288744039510706623444218136026400198.2126) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.6540834903717041015625e0), SC_(-6489213204725977265215129630972885208931.7047324612) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.1097540378570556640625e1), SC_(-4303360485458128363716387921690997.3217489487710586) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.30944411754608154296875e1), SC_(-1714351938583329400496.4174686930951444045367252487) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.51139926910400390625e1), SC_(-1497554511106978.6413164698379263226769543182250566) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.95070552825927734375e1), SC_(-33797740.978790739801009558248759228383299554227922) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.24750102996826171875e2), SC_(10826.527066984430387952652561356481081377800520229) }}, 
+      {{ SC_(-0.264718532562255859375e2), SC_(0.637722015380859375e2), SC_(1138075386232486817219014.8052993051304724020136075) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.177219114266335964202880859375e-2), SC_(-6.7515895735809066871214529723905715437908503383118e+280) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.22177286446094512939453125e-2), SC_(-3.9932538092585975496494729489045725705184449689373e+274) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.7444499991834163665771484375e-2), SC_(-9.3552896404712560124419918813505896861787425839659e+240) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.1433600485324859619140625e-1), SC_(-5.9273271957102624485347496431705870053301810885809e+222) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.1760916970670223236083984375e-1), SC_(-1.153207227833258672553374555903941230159216498121e+217) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.6152711808681488037109375e-1), SC_(-2.0842858984182053388047788639623901565569513682494e+182) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.11958599090576171875e0), SC_(-7.3048522112941081038934715569042013623958506239867e+163) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.15262925624847412109375e0), SC_(-1.2251050909789724436075350819675522361111116006141e+157) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.408089816570281982421875e0), SC_(-5.9701586451617060021522434220986032096708176834276e+129) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.6540834903717041015625e0), SC_(-4.728354017284186911399703339493637011862999946826e+116) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.1097540378570556640625e1), SC_(-1.9926304675659648565814683124221957471074002163378e+102) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.30944411754608154296875e1), SC_(-3.1604883938754236820131022262632377085597169426002e+73) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.51139926910400390625e1), SC_(-3.3137961673903813979855222305759692274465828133345e+59) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.95070552825927734375e1), SC_(-1556980182699205789141878500990820981351344.7558558) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.24750102996826171875e2), SC_(-566083031323896.3875812367042139902390038495937828) }}, 
+      {{ SC_(-0.62944732666015625e2), SC_(0.637722015380859375e2), SC_(69806774000991.981050098476617099206392598300624042) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.177219114266335964202880859375e-2), SC_(1.1839121742842485104988098823330437428852602049832e+299) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.22177286446094512939453125e-2), SC_(2.81902949371739010374345957855831735940984861534e+292) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.7444499991834163665771484375e-2), SC_(4.8546289918185101042103883969307473026908530607992e+256) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.1433600485324859619140625e-1), SC_(2.1546278190064339067674826633353063739271301221998e+237) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(1.8200745294223299719259645343795820790086104600145e+231) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.6152711808681488037109375e-1), SC_(2.0552841306010258245904712429908698970209138298791e+194) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.11958599090576171875e0), SC_(4.8599074136394357477738859362200322327686066925173e+174) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.15262925624847412109375e0), SC_(3.0291712283242750374950591308689793715705627264649e+167) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.408089816570281982421875e0), SC_(2.7311361518237004467096782289378169109700518547074e+138) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.6540834903717041015625e0), SC_(3.1908839655190757699675391873689315010487055768747e+124) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.1097540378570556640625e1), SC_(1.6472120838529387950355967953886848057267684941894e+109) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.30944411754608154296875e1), SC_(3.9050576738763162147813896680294510397469818259809e+78) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.51139926910400390625e1), SC_(5.3546164511152300822211475272202193195389734723646e+63) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.95070552825927734375e1), SC_(2063636717424277900786624014685823705355667145.4769) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.24750102996826171875e2), SC_(17352084482088788.487115525087156830261883569699237) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.637722015380859375e2), SC_(1882431939202.1648135308211699659682571426859828426) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.8115838623046875e2), SC_(0.177219114266335964202880859375e-2), SC_(5.4534028432761118007192924772575239045191902394704e+370) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.22177286446094512939453125e-2), SC_(5.4277253994376798514542354703405103943629816857712e+362) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.7444499991834163665771484375e-2), SC_(3.3519204517241688133176213581123468664876899502254e+319) }}, 
+#endif
+      {{ SC_(-0.8115838623046875e2), SC_(0.1433600485324859619140625e-1), SC_(1.3919521259627573812888913112386014488812170293336e+296) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1760916970670223236083984375e-1), SC_(6.3973177361791839803876463324989774282107643381539e+288) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.6152711808681488037109375e-1), SC_(1.469152116429485146808535540983280079580954020274e+244) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.11958599090576171875e0), SC_(2.8511122230996487961690173652685484920725224243098e+220) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.15262925624847412109375e0), SC_(5.619617351979676575330554848862555516412060445716e+211) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.408089816570281982421875e0), SC_(4.5519176106779604525307972631027227044957665270988e+176) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.6540834903717041015625e0), SC_(6.6903710486678328388174061602778428129323021420939e+159) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1097540378570556640625e1), SC_(2.2712273637429638291780059369921894631251180655941e+141) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.30944411754608154296875e1), SC_(2.2942619227544780341172279887214301587559519747559e+104) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.51139926910400390625e1), SC_(2.5918799812048500972623559251340558435277335398624e+86) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.95070552825927734375e1), SC_(1.6026607476891554347045540272329236130901801631704e+64) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.24750102996826171875e2), SC_(242221324852426376730984312833.83772575601709413801) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.637722015380859375e2), SC_(1617649.4354678509464238515107223191694738842428809) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.826751708984375e2), SC_(0.177219114266335964202880859375e-2), SC_(-3.3472423300617235905698843965441527482467443038007e+378) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.22177286446094512939453125e-2), SC_(-2.3708598693694264773788581512651012619352646209957e+370) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.7444499991834163665771484375e-2), SC_(-2.332724864540381393542054312015638284662343068144e+326) }}, 
+#endif
+      {{ SC_(-0.826751708984375e2), SC_(0.1433600485324859619140625e-1), SC_(-3.5853240695218770414340026925487536695026202308763e+302) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(-1.2062487642384866408885787920125470555828675792864e+295) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.6152711808681488037109375e-1), SC_(-4.1533132902226430058335777291251915410642650796069e+249) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.11958599090576171875e0), SC_(-2.9415592795451145762879834114133541803377334779173e+225) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.15262925624847412109375e0), SC_(-4.004567050888019716885840798964015187609154101286e+216) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.408089816570281982421875e0), SC_(-7.2979462110682988677653256370271393721462139889743e+180) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.6540834903717041015625e0), SC_(-5.2445445491935403760402688945078936122362998361533e+163) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1097540378570556640625e1), SC_(-8.1205008350040740161924361771242389152554616754157e+144) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.30944411754608154296875e1), SC_(-1.7035976344726289794779047688107441677132607819582e+107) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.51139926910400390625e1), SC_(-8.9909599334196588720376409319670479241448485707598e+88) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.95070552825927734375e1), SC_(-2.1782704068871946390314388322315401827432575178739e+66) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.24750102996826171875e2), SC_(-7929786464052873454694960787901.4667046107734177419) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.637722015380859375e2), SC_(321545.92541683308491005482853962116432717512366683) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.9150136566162109375e2), SC_(0.177219114266335964202880859375e-2), SC_(4.7752420315052949336918939109644955940954303442772e+422) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.22177286446094512939453125e-2), SC_(4.672634120247836025594825390538921093160126252829e+413) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.7444499991834163665771484375e-2), SC_(1.0485379500582573783963422858182793176684843645978e+365) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1433600485324859619140625e-1), SC_(4.9588309767452414656587518060761482771140983489273e+338) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1760916970670223236083984375e-1), SC_(2.7165255928105224887542359416164700903104546889451e+330) }}, 
+#endif
+      {{ SC_(-0.9150136566162109375e2), SC_(0.6152711808681488037109375e-1), SC_(1.497807463748589761253650413784068920373567963589e+280) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.11958599090576171875e0), SC_(3.0080093649297924281671604031447884036156057482282e+253) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.15262925624847412109375e0), SC_(4.7539750027411551907109895223967893837587731749743e+243) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.408089816570281982421875e0), SC_(1.4719508727838863380520715026742213519071684890979e+204) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.6540834903717041015625e0), SC_(1.6449195464092670640967089522948926701897555960104e+185) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1097540378570556640625e1), SC_(2.6430119091530033396732708140520765341274049733711e+164) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.30944411754608154296875e1), SC_(5.9115764027661312131195221326888531041451116633443e+122) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.51139926910400390625e1), SC_(3.7197112296952982305915131248565370184780285801752e+102) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.95070552825927734375e1), SC_(3.8543142124302116693843918034725003223456148718633e+77) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.24750102996826171875e2), SC_(348388267420102255285974747952173178611.13131031835) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.637722015380859375e2), SC_(17.286400157439880497643287768282457262827648723116) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.9297769927978515625e2), SC_(0.177219114266335964202880859375e-2), SC_(-8.6096503980045084060631217028712438055165886911886e+428) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.22177286446094512939453125e-2), SC_(-6.0500671156098795514612090856936433237677542773942e+419) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.7444499991834163665771484375e-2), SC_(-2.2716356285334738243587570010741763016518621060347e+370) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1433600485324859619140625e-1), SC_(-4.0830076639538008822282564946296990530674259214769e+343) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1760916970670223236083984375e-1), SC_(-1.6510576779808657903130227693644157913033679531897e+335) }}, 
+#endif
+      {{ SC_(-0.9297769927978515625e2), SC_(0.6152711808681488037109375e-1), SC_(-1.4357259752754892006168374205755635802741696352597e+284) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.11958599090576171875e0), SC_(-1.0809479648045584015360423564277119098233754619995e+257) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.15262925624847412109375e0), SC_(-1.1916646919576189758414592652440107018980490261704e+247) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.408089816570281982421875e0), SC_(-8.638225064394914906037494545527579038861486712648e+206) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.6540834903717041015625e0), SC_(-4.8107549813714765444834945102664921009336662482178e+187) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1097540378570556640625e1), SC_(-3.6001527815737350249976258665050022440889901660339e+166) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.30944411754608154296875e1), SC_(-1.7437748164739759092994632686626404780818636870767e+124) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.51139926910400390625e1), SC_(-5.2299553434507716896730033035515525827291712767745e+103) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.95070552825927734375e1), SC_(-2.1754931209540505657945584435590968999379346502128e+78) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.24750102996826171875e2), SC_(-489279975179337971319178373473616570531.3971439032) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.637722015380859375e2), SC_(3.1138768560695466319423973048004231865346267449754) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.935389862060546875e2), SC_(0.177219114266335964202880859375e-2), SC_(8.0688178046660875366942050870249859577328716707511e+432) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.22177286446094512939453125e-2), SC_(4.999383448280047113055758331657707347238205486511e+423) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.7444499991834163665771484375e-2), SC_(9.5125927980583022867114515572337437495117399461392e+373) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1433600485324859619140625e-1), SC_(1.1835928207186201022385742289755442651959073066336e+347) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1760916970670223236083984375e-1), SC_(4.2643753321755758261525152291365839944990421740241e+338) }}, 
+#endif
+      {{ SC_(-0.935389862060546875e2), SC_(0.6152711808681488037109375e-1), SC_(1.8373928724038541221126334929154886623721723225705e+287) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.11958599090576171875e0), SC_(9.5266501035622313460240539374572419922108689547011e+259) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.15262925624847412109375e0), SC_(9.1583452362584887942448014227032834584018777075674e+249) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.408089816570281982421875e0), SC_(3.8225458537373042747497871921768347574435957648151e+209) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.6540834903717041015625e0), SC_(1.6336092915853506194085733396806169927574155053434e+190) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1097540378570556640625e1), SC_(9.1430486034815972347229929299380544940594950080099e+168) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.30944411754608154296875e1), SC_(2.4754146661833103046325727586668305634458514331458e+126) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.51139926910400390625e1), SC_(5.6015550870361440436224381624665089671870099327921e+105) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.95070552825927734375e1), SC_(1.6468719424732049243330466077339660623811177581325e+80) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.24750102996826171875e2), SC_(21822583907358811053037130811818444812165.178319021) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(1.6202459650338070290292631729656915863467175104946) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.937735595703125e2), SC_(0.177219114266335964202880859375e-2), SC_(8.0161005650496153150047602127695384877112619587771e+433) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.22177286446094512939453125e-2), SC_(4.7121895935941112733161283913395552581627000221943e+424) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.7444499991834163665771484375e-2), SC_(6.7489578948819796465279387263947172505484245391434e+374) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1433600485324859619140625e-1), SC_(7.2008255544846527802962931875418402546205058253594e+347) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1760916970670223236083984375e-1), SC_(2.4722106319771409981962202279713651177220922375277e+339) }}, 
+#endif
+      {{ SC_(-0.937735595703125e2), SC_(0.6152711808681488037109375e-1), SC_(7.9429509269228682729842128076134590951021297525739e+287) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.11958599090576171875e0), SC_(3.5238628911760857836542016779741351841590639829531e+260) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.15262925624847412109375e0), SC_(3.1991972739448358110204969011793063969564333100632e+250) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.408089816570281982421875e0), SC_(1.0601971240221022602354878280169624328874560634695e+210) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.6540834903717041015625e0), SC_(4.0562439575631012229052052124587844501312876653207e+190) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1097540378570556640625e1), SC_(2.0106662549288149711576408799795159621946914414786e+169) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.30944411754608154296875e1), SC_(4.2689860721575865482937882844305926904950034096776e+126) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.51139926910400390625e1), SC_(8.5872417960685100852575406225311225858427442486195e+105) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.95070552825927734375e1), SC_(2.1838318227167159909330661401578980127070318992242e+80) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.24750102996826171875e2), SC_(23197169448600179547441723720594978575753.138073162) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.637722015380859375e2), SC_(1.2309347099719344463490707583889826485511714653677) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.98576263427734375e2), SC_(0.177219114266335964202880859375e-2), SC_(-1.8687794147885167928527457277252388516835959859959e+458) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.22177286446094512939453125e-2), SC_(-3.7414904239690255067784103942976601925541849352047e+448) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.7444499991834163665771484375e-2), SC_(-1.5965640944808407725667136065189840039921892348426e+396) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1433600485324859619140625e-1), SC_(-7.320115491126747037846038905532129894444596315101e+367) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1760916970670223236083984375e-1), SC_(-9.3602637245910292284844431270402505539514808231614e+358) }}, 
+#endif
+      {{ SC_(-0.98576263427734375e2), SC_(0.6152711808681488037109375e-1), SC_(-7.3916717585913259321075581039832457225596218078505e+304) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.11958599090576171875e0), SC_(-1.3478888688116558023036374939459624612058097364704e+276) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.15262925624847412109375e0), SC_(-3.791352786070543556669495535901730962928262885919e+265) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.408089816570281982421875e0), SC_(-1.1164173761672894180446421860085507515466492816839e+223) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.6540834903717041015625e0), SC_(-4.4321335487082397473738992166756126236385391918427e+202) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1097540378570556640625e1), SC_(-1.829299104513549751728801775792881677237395895807e+180) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.30944411754608154296875e1), SC_(-2.6775528532240954412317728650817376261367725674457e+135) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.51139926910400390625e1), SC_(-4.8343422017701947848142128610412996313627434863865e+113) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.95070552825927734375e1), SC_(-6.3086003964539024134807127345692279596917514234278e+86) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.24750102996826171875e2), SC_(-722013668091161834419632839820300702927946133.81195) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(-2.264907219938045514228468755131021109411846811226) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.99292266845703125e2), SC_(0.177219114266335964202880859375e-2), SC_(6.3109596228461854872163520399343533802066007997273e+461) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.22177286446094512939453125e-2), SC_(1.0760806168556900026257767345625819795477073735971e+452) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.7444499991834163665771484375e-2), SC_(1.9293939304434194212309231302798614709350838661324e+399) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1433600485324859619140625e-1), SC_(5.5332871155247746211972566869224511531763443385132e+370) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1760916970670223236083984375e-1), SC_(6.1066996996345030466111316476839821983070251825003e+361) }}, 
+#endif
+      {{ SC_(-0.99292266845703125e2), SC_(0.6152711808681488037109375e-1), SC_(1.9689590890048331266297095417142100126704729765354e+307) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.11958599090576171875e0), SC_(2.2310010193239478024976147029553786935350536128785e+278) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.15262925624847412109375e0), SC_(5.2695560767780991495852973930021573106179477154802e+267) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.408089816570281982421875e0), SC_(7.6734312870111071659149478157472838872919150437324e+224) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.6540834903717041015625e0), SC_(2.1731262202261953183006104408586425895083500928828e+204) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1097540378570556640625e1), SC_(6.1917639155808956800674607699793506771122938889882e+181) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.30944411754608154296875e1), SC_(4.3153445924488455539179250312521041882346379117739e+136) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.51139926910400390625e1), SC_(5.4391058088796766856830688105169584088705696305955e+114) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.95070552825927734375e1), SC_(4.558385392397380699165520108576973779945146181354e+87) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.24750102996826171875e2), SC_(2653762654218899644996572642732864700666903231.4459) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(4.4670744813706185429763687583551679887281326495188) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_i_prime_int_data.ipp b/src/boost/libs/math/test/bessel_i_prime_int_data.ipp
new file mode 100644
index 00000000..178c97d8
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_prime_int_data.ipp
@@ -0,0 +1,1987 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1980> bessel_i_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.00088609591919750015203076551463481289812081759457593) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.0011088650040236093434924259738776777082777117728366) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.003722275782133396649790935284938128705516556817227) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.0071681865751110609746510378519051273111721075420681) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.008804926126614467969087386987026758424777681208949) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.030778118603049061956303124312187349139104670901298) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.059899945189311456643393232325528632776126403440763) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.076537069171312995155266637603161226785362168868793) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.20832212130892514352270120184527358300711621253093) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.34484589720660571203268712177657285280507611555709) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.63565392939687165931975701385906830196228023376933) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(4.304586767845429639244166020309162877221031947039) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(27.026310609828701503222843893102992533224960967973) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(1669.6303950934903244727446466214615294086023903195) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(4428295881.3677779786815636628866430364992082651157) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(246567311915704274501887357.24020001512007921147054) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.50000058887414958452485804994744934952377336181573) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.50000092218537893261448430232179397590419077630156) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.50001039139876686065339052546517335546246153291185) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.50003853574407998926317310663333528092870153852384) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.50005814178781229442302267906313903386120382311391) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.50070998404154571459128156447054892961460345184902) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.5026840657714710757890236690799629757305465005453) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.50437501291751594265663420039241884122843561276152) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.53158863081248487334362919459520848093354880736601) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.58263043215568911299814886678184475770592474363462) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.7454322330858457449159781361157891562659959168394) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(3.8794322064706267194422881162259380140744641171029) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(24.879824200109264550070346070548572538675416510962) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(1589.6010892466270146562540500585578585568257598452) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(4341662415.1619366320979220433134729416481099471501) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(244657223419722976962060156.64526989576384593438155) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(5.7977642791440240594069365123737373446875473336019e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(1.1361983257670755452088629287120813120498174641957e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(4.2977106585064563071965155077470765547580422080236e-09) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(3.0691624717963766687820586762992955366705538139243e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(5.6879465129841838118217352628667866284796929079985e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(2.4268994701713292881629948960548331673657583324918e-06) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(1.7833452482002047243884933100474315698557783900753e-05) }}, 
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+      {{ SC_(-0.67e2), SC_(-0.6540834903717041015625e0), SC_(8.4646682425793074323920353901914134714572584083322e-126) }}, 
+      {{ SC_(-0.67e2), SC_(-0.1097540378570556640625e1), SC_(5.8190252763780625217344009150147801436271833123923e-111) }}, 
+      {{ SC_(-0.67e2), SC_(-0.30944411754608154296875e1), SC_(3.0852077415388690855886325107096863249917033942949e-81) }}, 
+      {{ SC_(-0.67e2), SC_(-0.51139926910400390625e1), SC_(8.2462111027747296965681108576161141617822209913075e-67) }}, 
+      {{ SC_(-0.67e2), SC_(-0.95070552825927734375e1), SC_(6.2285651920123373313610961040377593081523421620429e-49) }}, 
+      {{ SC_(-0.67e2), SC_(-0.24750102996826171875e2), SC_(1.1517779224277461415676244801629515542988750835375e-20) }}, 
+      {{ SC_(-0.67e2), SC_(-0.637722015380859375e2), SC_(1885370641257.1827204796598740013286146728943092018) }}, 
+      {{ SC_(-0.7e2), SC_(-0.177219114266335964202880859375e-2), SC_(-6.9473961878707575158600210597440403366919272660158e-310) }}, 
+      {{ SC_(-0.7e2), SC_(-0.7444499991834163665771484375e-2), SC_(-7.0997854620701933448207860785327496840617296058248e-267) }}, 
+      {{ SC_(-0.7e2), SC_(-0.1433600485324859619140625e-1), SC_(-3.0770549060187263202686051152703950291929132300009e-247) }}, 
+      {{ SC_(-0.7e2), SC_(-0.1760916970670223236083984375e-1), SC_(-4.4727687301545682185419970522402590443925802186037e-241) }}, 
+      {{ SC_(-0.7e2), SC_(-0.6152711808681488037109375e-1), SC_(-1.38099727631585453821424328210265554521889576794e-203) }}, 
+      {{ SC_(-0.7e2), SC_(-0.11958599090576171875e0), SC_(-1.1338535137583496021114388849056277318334203998478e-183) }}, 
+      {{ SC_(-0.7e2), SC_(-0.15262925624847412109375e0), SC_(-2.3207978713078011352593728014212904279302244216489e-176) }}, 
+      {{ SC_(-0.7e2), SC_(-0.408089816570281982421875e0), SC_(-6.8707243490708476481738782345605125804860468763652e-147) }}, 
+      {{ SC_(-0.7e2), SC_(-0.6540834903717041015625e0), SC_(-9.4179449916360381129438016958300605326351814425029e-133) }}, 
+      {{ SC_(-0.7e2), SC_(-0.1097540378570556640625e1), SC_(-3.058460877037596390669567494169930309974687355767e-117) }}, 
+      {{ SC_(-0.7e2), SC_(-0.30944411754608154296875e1), SC_(-3.6293163655119455138709489938300238971715047471255e-86) }}, 
+      {{ SC_(-0.7e2), SC_(-0.51139926910400390625e1), SC_(-4.3666440561259071006305673721113793993049308903697e-71) }}, 
+      {{ SC_(-0.7e2), SC_(-0.95070552825927734375e1), SC_(-2.0969827693288095828633768469004433740064673456557e-52) }}, 
+      {{ SC_(-0.7e2), SC_(-0.24750102996826171875e2), SC_(-6.3081171041477797378349146657536728814518874279765e-23) }}, 
+      {{ SC_(-0.7e2), SC_(-0.637722015380859375e2), SC_(-116200587705.9972033212971866848583486865390099783) }}, 
+      {{ SC_(-0.73e2), SC_(-0.177219114266335964202880859375e-2), SC_(1.3507496963190848811812605035755276822306783013008e-324) }}, 
+      {{ SC_(-0.73e2), SC_(-0.22177286446094512939453125e-2), SC_(1.3906558628240210167410406322926273217138498155297e-317) }}, 
+      {{ SC_(-0.73e2), SC_(-0.7444499991834163665771484375e-2), SC_(1.0232292612643929164393555734712076107963466015419e-279) }}, 
+      {{ SC_(-0.73e2), SC_(-0.1433600485324859619140625e-1), SC_(3.1669468744744228128871438059384274750920481170588e-259) }}, 
+      {{ SC_(-0.73e2), SC_(-0.1760916970670223236083984375e-1), SC_(8.5312798332901951159689132307158391752594168130046e-253) }}, 
+      {{ SC_(-0.73e2), SC_(-0.6152711808681488037109375e-1), SC_(1.1236043760547774550840777773292804117368603963381e-213) }}, 
+      {{ SC_(-0.73e2), SC_(-0.11958599090576171875e0), SC_(6.773576827937433880701869360263370808791766081818e-193) }}, 
+      {{ SC_(-0.73e2), SC_(-0.15262925624847412109375e0), SC_(2.8825064217746425597303617323233603741034850031809e-185) }}, 
+      {{ SC_(-0.73e2), SC_(-0.408089816570281982421875e0), SC_(1.6310978659437693190299774851696549575048944847774e-154) }}, 
+      {{ SC_(-0.73e2), SC_(-0.6540834903717041015625e0), SC_(9.2055305236266895105402372198275994943403004085982e-140) }}, 
+      {{ SC_(-0.73e2), SC_(-0.1097540378570556640625e1), SC_(1.4122341130484579348120664306328290171004071749639e-123) }}, 
+      {{ SC_(-0.73e2), SC_(-0.30944411754608154296875e1), SC_(3.7511636793232867462931323998211418887996843788832e-91) }}, 
+      {{ SC_(-0.73e2), SC_(-0.51139926910400390625e1), SC_(2.0320758792487700817910271861967809334924888836874e-75) }}, 
+      {{ SC_(-0.73e2), SC_(-0.95070552825927734375e1), SC_(6.2097685364004522844908379887813700451507749938078e-56) }}, 
+      {{ SC_(-0.73e2), SC_(-0.24750102996826171875e2), SC_(3.0584007614905224150486889015635217620856903402764e-25) }}, 
+      {{ SC_(-0.73e2), SC_(-0.637722015380859375e2), SC_(6512044119.7702057066658291352087070348263357228093) }}, 
+      {{ SC_(-0.76e2), SC_(-0.177219114266335964202880859375e-2), SC_(-2.3195339478133814054007492392224202349931276855473e-339) }}, 
+      {{ SC_(-0.76e2), SC_(-0.22177286446094512939453125e-2), SC_(-4.6799267801180082535015118083610105786567490647111e-332) }}, 
+      {{ SC_(-0.76e2), SC_(-0.7444499991834163665771484375e-2), SC_(-1.302487964423846871761170667875260709588948583303e-292) }}, 
+      {{ SC_(-0.76e2), SC_(-0.1433600485324859619140625e-1), SC_(-2.8788520988405523410234474831788210360652724346618e-271) }}, 
+      {{ SC_(-0.76e2), SC_(-0.1760916970670223236083984375e-1), SC_(-1.4372257027590942365638884742058014425484218169965e-264) }}, 
+      {{ SC_(-0.76e2), SC_(-0.6152711808681488037109375e-1), SC_(-8.0743409403950639843494092057130732296951054158363e-224) }}, 
+      {{ SC_(-0.76e2), SC_(-0.11958599090576171875e0), SC_(-3.5739814054216253005793493470952029267539287015973e-202) }}, 
+      {{ SC_(-0.76e2), SC_(-0.15262925624847412109375e0), SC_(-3.1621059211308472966030568819860933756230005522119e-194) }}, 
+      {{ SC_(-0.76e2), SC_(-0.408089816570281982421875e0), SC_(-3.4200419048105661428016795544405914835338349409359e-162) }}, 
+      {{ SC_(-0.76e2), SC_(-0.6540834903717041015625e0), SC_(-7.9472481910706086097506541561280938718583919474349e-147) }}, 
+      {{ SC_(-0.76e2), SC_(-0.1097540378570556640625e1), SC_(-5.7595666922124447046430787468026384041534535625797e-130) }}, 
+      {{ SC_(-0.76e2), SC_(-0.30944411754608154296875e1), SC_(-3.4247611609219922313466541280690329008558200182914e-96) }}, 
+      {{ SC_(-0.76e2), SC_(-0.51139926910400390625e1), SC_(-8.3549036111460052656699367013939841144814107156374e-80) }}, 
+      {{ SC_(-0.76e2), SC_(-0.95070552825927734375e1), SC_(-1.6259075460259942049178264036277075443223749204689e-59) }}, 
+      {{ SC_(-0.76e2), SC_(-0.24750102996826171875e2), SC_(-1.318576118552021545104435738323048727864154201574e-27) }}, 
+      {{ SC_(-0.76e2), SC_(-0.637722015380859375e2), SC_(-332559623.8985721331192076011185438876913669207339) }}, 
+      {{ SC_(-0.79e2), SC_(-0.177219114266335964202880859375e-2), SC_(3.5354403212019364046063104755631828771883937058006e-354) }}, 
+      {{ SC_(-0.79e2), SC_(-0.22177286446094512939453125e-2), SC_(1.3978976306615431583515397352566586129978164981083e-346) }}, 
+      {{ SC_(-0.79e2), SC_(-0.7444499991834163665771484375e-2), SC_(1.4716055261727348172790592652718757218968491250897e-305) }}, 
+      {{ SC_(-0.79e2), SC_(-0.1433600485324859619140625e-1), SC_(2.3228162360620189257436933252556231587350476505745e-283) }}, 
+      {{ SC_(-0.79e2), SC_(-0.1760916970670223236083984375e-1), SC_(2.1490805210942587181886096768253317000272047900881e-276) }}, 
+      {{ SC_(-0.79e2), SC_(-0.6152711808681488037109375e-1), SC_(5.1501240022553382313931109927252352647508033725137e-234) }}, 
+      {{ SC_(-0.79e2), SC_(-0.11958599090576171875e0), SC_(1.6737997765406598434264054525564444084850592554407e-211) }}, 
+      {{ SC_(-0.79e2), SC_(-0.15262925624847412109375e0), SC_(3.0789282916516690174719881434864575044336286368998e-203) }}, 
+      {{ SC_(-0.79e2), SC_(-0.408089816570281982421875e0), SC_(6.36503109275278961131724617973150670884809100085e-170) }}, 
+      {{ SC_(-0.79e2), SC_(-0.6540834903717041015625e0), SC_(6.0898084719470202787549713824635043238285438147712e-154) }}, 
+      {{ SC_(-0.79e2), SC_(-0.1097540378570556640625e1), SC_(2.0849489482470412059259293955112926383959218775221e-136) }}, 
+      {{ SC_(-0.79e2), SC_(-0.30944411754608154296875e1), SC_(2.7755929193923341619599366432165290745895361503068e-101) }}, 
+      {{ SC_(-0.79e2), SC_(-0.51139926910400390625e1), SC_(3.0498646489259068012138998537230278724083029378205e-84) }}, 
+      {{ SC_(-0.79e2), SC_(-0.95070552825927734375e1), SC_(3.7822190240734211344697436228310459325646325013602e-63) }}, 
+      {{ SC_(-0.79e2), SC_(-0.24750102996826171875e2), SC_(5.0763751887669428908160377413843070315272619394593e-30) }}, 
+      {{ SC_(-0.79e2), SC_(-0.637722015380859375e2), SC_(15509034.088708430442808142776840096102763256428376) }}, 
+      {{ SC_(-0.82e2), SC_(-0.177219114266335964202880859375e-2), SC_(-4.8048862563202889181890537443326779885545248610242e-369) }}, 
+      {{ SC_(-0.82e2), SC_(-0.22177286446094512939453125e-2), SC_(-3.7231325849660746143336380063851346168130573371484e-361) }}, 
+      {{ SC_(-0.82e2), SC_(-0.7444499991834163665771484375e-2), SC_(-1.4825383087772703677121933113230100416009283671034e-318) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1433600485324859619140625e-1), SC_(-1.6711182277052575836893718534668728582756108648312e-295) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1760916970670223236083984375e-1), SC_(-2.8653470065901442471349796594633948569490121927789e-288) }}, 
+      {{ SC_(-0.82e2), SC_(-0.6152711808681488037109375e-1), SC_(-2.9290388140539613063288304116939069775353632716894e-244) }}, 
+      {{ SC_(-0.82e2), SC_(-0.11958599090576171875e0), SC_(-6.989588437838497498633490694257384354295169533204e-221) }}, 
+      {{ SC_(-0.82e2), SC_(-0.15262925624847412109375e0), SC_(-2.6731273786128594995441372203649359993461979500185e-212) }}, 
+      {{ SC_(-0.82e2), SC_(-0.408089816570281982421875e0), SC_(-1.0562510171246344218084352488817570605950194519393e-177) }}, 
+      {{ SC_(-0.82e2), SC_(-0.6540834903717041015625e0), SC_(-4.1609172226269596757660908595807745867150206089336e-161) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1097540378570556640625e1), SC_(-6.7298102679330724106181833447827647907096714047206e-143) }}, 
+      {{ SC_(-0.82e2), SC_(-0.30944411754608154296875e1), SC_(-2.0059377323087951081667274371186273644145227822575e-106) }}, 
+      {{ SC_(-0.82e2), SC_(-0.51139926910400390625e1), SC_(-9.9294186782645320133623704220686212337084869523935e-89) }}, 
+      {{ SC_(-0.82e2), SC_(-0.95070552825927734375e1), SC_(-7.8516737724524765361257804357393329459841050420731e-67) }}, 
+      {{ SC_(-0.82e2), SC_(-0.24750102996826171875e2), SC_(-1.7520334090734988621562311121564391919297578081493e-32) }}, 
+      {{ SC_(-0.82e2), SC_(-0.637722015380859375e2), SC_(-661845.41868057886844507495847825147949109845357718) }}, 
+      {{ SC_(-0.85e2), SC_(-0.177219114266335964202880859375e-2), SC_(5.8472757925281335709441070120916109604930024452409e-384) }}, 
+      {{ SC_(-0.85e2), SC_(-0.22177286446094512939453125e-2), SC_(8.8791726773414850912512854292238871639394376398273e-376) }}, 
+      {{ SC_(-0.85e2), SC_(-0.7444499991834163665771484375e-2), SC_(1.3373691635430932409867433733092264367846631443699e-331) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1433600485324859619140625e-1), SC_(1.0765404847203446320910822788131070879964149338772e-307) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1760916970670223236083984375e-1), SC_(3.420838952015165818158018000931089841366043146575e-300) }}, 
+      {{ SC_(-0.85e2), SC_(-0.6152711808681488037109375e-1), SC_(1.4916380317089088216843268489867077713269951388358e-254) }}, 
+      {{ SC_(-0.85e2), SC_(-0.11958599090576171875e0), SC_(2.6135488501491766407431161565237945419126408844675e-230) }}, 
+      {{ SC_(-0.85e2), SC_(-0.15262925624847412109375e0), SC_(2.0781203049030925463263429601388263138063177457416e-221) }}, 
+      {{ SC_(-0.85e2), SC_(-0.408089816570281982421875e0), SC_(1.5695141280427997758020218417755528490733613885247e-185) }}, 
+      {{ SC_(-0.85e2), SC_(-0.6540834903717041015625e0), SC_(2.5456984433230137894914413111361227522822484252069e-168) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1097540378570556640625e1), SC_(1.9451160142029278734236728286821772378084338638687e-149) }}, 
+      {{ SC_(-0.85e2), SC_(-0.30944411754608154296875e1), SC_(1.2982106047581298813134523396297908278237157397917e-111) }}, 
+      {{ SC_(-0.85e2), SC_(-0.51139926910400390625e1), SC_(2.8953015092379672002808952081487566053733334541789e-93) }}, 
+      {{ SC_(-0.85e2), SC_(-0.95070552825927734375e1), SC_(1.4606208585387583821716999258644880230045971888375e-70) }}, 
+      {{ SC_(-0.85e2), SC_(-0.24750102996826171875e2), SC_(5.4408313801020912656180501212839264038981557151731e-35) }}, 
+      {{ SC_(-0.85e2), SC_(-0.637722015380859375e2), SC_(25897.152181004517269750138033637774774294027201157) }}, 
+      {{ SC_(-0.88e2), SC_(-0.177219114266335964202880859375e-2), SC_(-6.3967392280596030279323854433032980999361288193673e-399) }}, 
+      {{ SC_(-0.88e2), SC_(-0.22177286446094512939453125e-2), SC_(-1.9035798676765477375707106012504409197237459683134e-390) }}, 
+      {{ SC_(-0.88e2), SC_(-0.7444499991834163665771484375e-2), SC_(-1.0845043229696536816589939558806337747262693806117e-344) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1433600485324859619140625e-1), SC_(-6.2343066307351531677125296908505917958463867368011e-320) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1760916970670223236083984375e-1), SC_(-3.6713233393263255015318969376892728032966858934394e-312) }}, 
+      {{ SC_(-0.88e2), SC_(-0.6152711808681488037109375e-1), SC_(-6.8286740416097889483960253094161116355961137599911e-265) }}, 
+      {{ SC_(-0.88e2), SC_(-0.11958599090576171875e0), SC_(-8.7850510192292171781935576131152961424001837737372e-240) }}, 
+      {{ SC_(-0.88e2), SC_(-0.15262925624847412109375e0), SC_(-1.4523001945931213963724402582050155086750135868739e-230) }}, 
+      {{ SC_(-0.88e2), SC_(-0.408089816570281982421875e0), SC_(-2.0965173883428983962808243031008372953025094614022e-193) }}, 
+      {{ SC_(-0.88e2), SC_(-0.6540834903717041015625e0), SC_(-1.4001057827881787318362535742853637138047693417883e-175) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1097540378570556640625e1), SC_(-5.0539014586103948417980337852169920633032949579937e-156) }}, 
+      {{ SC_(-0.88e2), SC_(-0.30944411754608154296875e1), SC_(-7.5533392148555117094876622598604796141439853510179e-117) }}, 
+      {{ SC_(-0.88e2), SC_(-0.51139926910400390625e1), SC_(-7.5907438126908222770882865866850381553729181510969e-98) }}, 
+      {{ SC_(-0.88e2), SC_(-0.95070552825927734375e1), SC_(-2.4442318532108741067843417039652114734958529194241e-74) }}, 
+      {{ SC_(-0.88e2), SC_(-0.24750102996826171875e2), SC_(-1.5255185376367196961330937653065804471587161182596e-37) }}, 
+      {{ SC_(-0.88e2), SC_(-0.637722015380859375e2), SC_(-930.9184838624792218675752167087125839937752968732) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_data.ipp b/src/boost/libs/math/test/bessel_j_data.ipp
new file mode 100644
index 00000000..45e1a321
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_data.ipp
@@ -0,0 +1,369 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 360> bessel_j_data = {{
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.553809732082299888134002685546875e-4), SC_(0.9956156809860747445801192500664050062602e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.69304020144045352935791015625e-4), SC_(0.9957146107589140226790508756099801328105e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.23264062474481761455535888671875e-3), SC_(0.9962489699005580621378590557841736186861e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.4480001516640186309814453125e-3), SC_(0.9965382149919219697926696508657333563376e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.5502865533344447612762451171875e-3), SC_(0.9966289891095531217170976766456612311928e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.9971807065952682162692966068389032708599e0) }}, 
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+      {{ SC_(0.1278498172760009765625e1), SC_(0.47696642577648162841796875e-2), SC_(0.3851842008874816937945807840767328664892e-3) }}, 
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+      {{ SC_(0.1278498172760009765625e1), SC_(0.159812271595001220703125e0), SC_(0.3422300234134881051695002634665810825229e-1) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.297095477581024169921875e0), SC_(0.7509395505166360503639976232203552453175e-1) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.77344071865081787109375e0), SC_(0.2411436940173849956429561964466706747216e0) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.1992881298065185546875e1), SC_(0.5404138641444118039922709928024339259041e0) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.3915013790130615234375e1), SC_(0.1125617657254339590832781377108694478819e0) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.79858455657958984375e1), SC_(0.1522182099368662078139588491031563608345e0) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.1571910858154296875e2), SC_(0.1853779722844880544471765776954848178162e0) }}, 
+      {{ SC_(0.1278498172760009765625e1), SC_(0.31483119964599609375e2), SC_(-0.1288757401823690223291744655835744635071e0) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.5056586192203856045910471595498124462596e-11) }}, 
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+      {{ SC_(0.2376763820648193359375e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.1532334765930977771102515339639802324861e-9) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.4480001516640186309814453125e-3), SC_(0.7273828528370972876878238428839518376154e-9) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.1185860464394239101691199317159293833879e-8) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.19227224402129650115966796875e-2), SC_(0.2319503797697066104304367743047597833322e-7) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.37370622158050537109375e-2), SC_(0.1125541303882382369653700619816305958189e-6) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.47696642577648162841796875e-2), SC_(0.2010004653396484530098091684494825339958e-6) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.1275280676782131195068359375e-1), SC_(0.2081378683926122164460443936660037148164e-5) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.20440109074115753173828125e-1), SC_(0.6386871239519502743466959676485268954914e-5) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.3429813683032989501953125e-1), SC_(0.2185395974871662899753176702325896507127e-4) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.96701286733150482177734375e-1), SC_(0.25656379472828044772240144209934575006e-3) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.159812271595001220703125e0), SC_(0.845730449100299183956699628010590519736e-3) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.297095477581024169921875e0), SC_(0.3674871979280675321301756071429237649275e-2) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.77344071865081787109375e0), SC_(0.3438496811568474491355241340053475579032e-1) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.1992881298065185546875e1), SC_(0.2513901336569734693859406681568671211021e0) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.3915013790130615234375e1), SC_(0.4411924952040898535595925619755816956809e0) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.79858455657958984375e1), SC_(-0.2273576855576674689369594664643423033118e0) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.1571910858154296875e2), SC_(0.7438347444997647796963367146274908500004e-1) }}, 
+      {{ SC_(0.2376763820648193359375e1), SC_(0.31483119964599609375e2), SC_(-0.4835996250612980219088832147311470184396e-1) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.6141678216085436111176451400063635126985e-31) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.69304020144045352935791015625e-4), SC_(0.246002051024745363814461774049739325662e-30) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.4416989561874068641789782319112059701685e-27) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.4480001516640186309814453125e-3), SC_(0.2547126098161636865969703324599457436971e-25) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.9092073652119249745125219238269278791216e-25) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.19227224402129650115966796875e-2), SC_(0.2091784753137493653036354140039919926587e-21) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.37370622158050537109375e-2), SC_(0.1277384798655490775905658138944681765305e-19) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.47696642577648162841796875e-2), SC_(0.5780112025030309280393501135304190431747e-19) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.1275280676782131195068359375e-1), SC_(0.2539437786678802679382159611357475659317e-16) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.20440109074115753173828125e-1), SC_(0.4703466931802969431139418828811047045971e-15) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.3429813683032989501953125e-1), SC_(0.1156868416120739652892078422418971652898e-13) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.96701286733150482177734375e-1), SC_(0.7055823940609916725367183770341485771641e-11) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.159812271595001220703125e0), SC_(0.157864460888642548494771779237446860121e-9) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.297095477581024169921875e0), SC_(0.7303821609272158309492823142947445732176e-8) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.77344071865081787109375e0), SC_(0.2672664548632283509874594371971735667516e-5) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.1992881298065185546875e1), SC_(0.8296436579220156802866858143435702375141e-3) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.3915013790130615234375e1), SC_(0.3582497898452286859296846783634361347323e-1) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.79858455657958984375e1), SC_(0.3457617746872806174549271704484687317651e0) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.1571910858154296875e2), SC_(0.2072660158578431354057405902818480142787e0) }}, 
+      {{ SC_(0.618752574920654296875e1), SC_(0.31483119964599609375e2), SC_(-0.1318618402231476532997477360412655763119e0) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.121765325971199235226950916196533478569e-85) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.69304020144045352935791015625e-4), SC_(0.4348529040889526305872634896082273962461e-84) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.1054933471529069744215328306932288735002e-75) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.4480001516640186309814453125e-3), SC_(0.3634957360230243469527303257192252467733e-71) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.9646837024091091333308495040848415220353e-70) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.19227224402129650115966796875e-2), SC_(0.4432877465512047439464155651452389042106e-61) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.37370622158050537109375e-2), SC_(0.1770390010617740019194413844748485420908e-56) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.47696642577648162841796875e-2), SC_(0.8656739708490917931260774639401847905445e-55) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1275280676782131195068359375e-1), SC_(0.5583631811182531205165895051362489723946e-48) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.20440109074115753173828125e-1), SC_(0.103106565969855434312386168894543598243e-44) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.3429813683032989501953125e-1), SC_(0.3954367464083906354438402796246817522015e-41) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.96701286733150482177734375e-1), SC_(0.5942588953071692102183170727631542245108e-34) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.159812271595001220703125e0), SC_(0.1787692223274770382718402566108351637629e-30) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.297095477581024169921875e0), SC_(0.3508566459949628001757525016826509424779e-26) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.77344071865081787109375e0), SC_(0.1467886618883000652209178210120183048119e-19) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1992881298065185546875e1), SC_(0.4994542214744224454151505315307238073221e-13) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.3915013790130615234375e1), SC_(0.1997414520429768177432880178694168079225e-8) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.79858455657958984375e1), SC_(0.8220903046865285045445582707996957424813e-4) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1571910858154296875e2), SC_(0.1635793592300323171799133620913882844268e0) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.31483119964599609375e2), SC_(-0.1436476010691620533772737806011732529468e0) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.720999514635082944998486378462042065548e-177) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.69304020144045352935791015625e-4), SC_(0.8099276041615658852408040879405710425224e-174) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.2401827789365385723264959328048209544024e-157) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.4480001516640186309814453125e-3), SC_(0.1967948222206320595051933567795148903452e-148) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.1233774769381781535909728004063264007336e-145) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.19227224402129650115966796875e-2), SC_(0.1283273428485489536447676425815813056886e-128) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.37370622158050537109375e-2), SC_(0.1405183787621580648869621961084314778533e-119) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.47696642577648162841796875e-2), SC_(0.2926396097007299560785500719585898203219e-116) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1275280676782131195068359375e-1), SC_(0.6977736543795536782997046101038445558663e-103) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.20440109074115753173828125e-1), SC_(0.1821786218163979826416197870670171130133e-96) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.3429813683032989501953125e-1), SC_(0.1999210450604504410914425432107629502991e-89) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.96701286733150482177734375e-1), SC_(0.251157366530045646437718994576632141369e-75) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.159812271595001220703125e0), SC_(0.1710986365304126142935808274616325811609e-68) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.297095477581024169921875e0), SC_(0.4646227131059059595427604644829875800615e-60) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.77344071865081787109375e0), SC_(0.4784799239708328602598193913379505621018e-47) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1992881298065185546875e1), SC_(0.3489752451870321457103722660567152768057e-34) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.3915013790130615234375e1), SC_(0.4889245759333297227698619173071154698185e-25) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.79858455657958984375e1), SC_(0.1664515950791679187310431924442476923109e-15) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1571910858154296875e2), SC_(0.6205404214654629687787121851824504334876e-7) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.31483119964599609375e2), SC_(0.1484545929446900561639094358967123117739e0) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.8446839048780569280474710663682619972041e-380) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.69304020144045352935791015625e-4), SC_(0.1409702153899462689202357620502522957131e-373) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.5609316393869461530695885033806074145071e-340) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.4480001516640186309814453125e-3), SC_(0.8523357694224079855215503041727333034429e-322) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.4328973281194721121716411716842618698591e-316) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.19227224402129650115966796875e-2), SC_(0.2227580314514104775209901151215137968262e-281) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.37370622158050537109375e-2), SC_(0.6115485831827422144019763064445038756912e-263) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.47696642577648162841796875e-2), SC_(0.3595105306082387449978056548902672235759e-256) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1275280676782131195068359375e-1), SC_(0.6964605680269546994812846826702862289074e-229) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.20440109074115753173828125e-1), SC_(0.8547757957801666890816087207766370541757e-216) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.3429813683032989501953125e-1), SC_(0.1962390821047959905705920637771295517402e-201) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.96701286733150482177734375e-1), SC_(0.1127581411317236750982950580839608146603e-172) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.159812271595001220703125e0), SC_(0.9790370659506770228693171342289984428576e-159) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.297095477581024169921875e0), SC_(0.1564948684865165000775450621480811627558e-141) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.77344071865081787109375e0), SC_(0.5502719787681308363007881451048037707171e-115) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1992881298065185546875e1), SC_(0.9905301122130665466055237290421121475096e-89) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.3915013790130615234375e1), SC_(0.5149539828266276213224902637532044041335e-70) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.79858455657958984375e1), SC_(0.2564876610067021281696593047029893911603e-50) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1571910858154296875e2), SC_(0.7745090555307013050588237027600011961354e-32) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.31483119964599609375e2), SC_(0.7349468722273911955644415269211426919788e-14) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_int_data.ipp b/src/boost/libs/math/test/bessel_j_int_data.ipp
new file mode 100644
index 00000000..171c42c3
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_int_data.ipp
@@ -0,0 +1,233 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 224> bessel_j_int_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.999999999999251207960573702716351702855e0) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.9999999999988273810527038974545295287162e0) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.9999999999867867040328417323221266089012e0) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.9999999999509999668240905595691881208684e0) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.9999999999260704856506088935623108659333e0) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.9999999990974459030116346626772683432438e0) }}, 
+      {{ SC_(0.0), SC_(0.116783194243907928466796875e-3), SC_(0.9999999965904213884537241019212664253672e0) }}, 
+      {{ SC_(0.0), SC_(0.149052008055150508880615234375e-3), SC_(0.9999999944458747313939138453006009257493e0) }}, 
+      {{ SC_(0.0), SC_(0.3985252114944159984588623046875e-3), SC_(0.9999999602944143449661387732367591439684e0) }}, 
+      {{ SC_(0.0), SC_(0.63875340856611728668212890625e-3), SC_(0.999999897998523362367123063793585129913e0) }}, 
+      {{ SC_(0.0), SC_(0.10718167759478092193603515625e-2), SC_(0.999999712802220319854399500739679836503e0) }}, 
+      {{ SC_(0.0), SC_(0.302191521041095256805419921875e-2), SC_(0.9999977170084182855294667634808613841995e0) }}, 
+      {{ SC_(0.0), SC_(0.499413348734378814697265625e-2), SC_(0.9999937646673975145784086810883184951737e0) }}, 
+      {{ SC_(0.0), SC_(0.928423367440700531005859375e-2), SC_(0.9999784508673620039917059777810212577274e0) }}, 
+      {{ SC_(0.0), SC_(0.241700224578380584716796875e-1), SC_(0.9998539578359781705487991537766139314417e0) }}, 
+      {{ SC_(0.0), SC_(0.6227754056453704833984375e-1), SC_(0.9990306120021848197073447709696842002313e0) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875e0), SC_(0.9962614745793813396644750956695984663693e0) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875e0), SC_(0.9844907414458467656383892255940207494775e0) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375e0), SC_(0.9405788968099850208754506401326367253837e0) }}, 
+      {{ SC_(0.0), SC_(0.98384749889373779296875e0), SC_(0.7722629604360946893704391598535972411534e0) }}, 
+      {{ SC_(0.0), SC_(0.11576130390167236328125e1), SC_(0.69201921296869073470763460902488953195e0) }}, 
+      {{ SC_(0.0), SC_(0.3451677799224853515625e1), SC_(-0.3729999217923199419780408144861949608561e0) }}, 
+      {{ SC_(0.0), SC_(0.788237094879150390625e1), SC_(0.1981996630505566917360863478152806154613e0) }}, 
+      {{ SC_(0.0), SC_(0.15848876953125e2), SC_(-0.1592255309532503835966920565319209366427e0) }}, 
+      {{ SC_(0.1e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.276904865934989734483098712606972348472e-4) }}, 
+      {{ SC_(0.1e1), SC_(0.69304020144045352935791015625e-4), SC_(0.3465201005121827144301015458593023209872e-4) }}, 
+      {{ SC_(0.1e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.1163203115854777552927670265943683111663e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.4480001516640186309814453125e-3), SC_(0.224000070212291655064298940047799298227e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.2751432662525235957510064043924201271744e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.19227224402129650115966796875e-2), SC_(0.9613607758541307952398436842542503763082e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.37370622158050537109375e-2), SC_(0.1868527846001727517468459203726183793639e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.47696642577648162841796875e-2), SC_(0.2384825347112756329700145763683641710414e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1275280676782131195068359375e-1), SC_(0.6376273757226442847790070686813990559145e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.20440109074115753173828125e-1), SC_(0.102195208064807658405217565669384689625e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.3429813683032989501953125e-1), SC_(0.1714654684930302330423492169172745899688e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.96701286733150482177734375e-1), SC_(0.4829414868544472860291893155827576361067e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.159812271595001220703125e0), SC_(0.7965130716107429048780909632824084802407e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.297095477581024169921875e0), SC_(0.1469147961900711346572957228234698754028e0) }}, 
+      {{ SC_(0.1e1), SC_(0.77344071865081787109375e0), SC_(0.3585147006385292414727602076757818503575e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1992881298065185546875e1), SC_(0.5771736137851551766101983376499833110574e0) }}, 
+      {{ SC_(0.1e1), SC_(0.3915013790130615234375e1), SC_(-0.3315763536880066424018546732060494035118e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.79858455657958984375e1), SC_(0.2325970018905132078980792992006627584192e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1571910858154296875e2), SC_(0.1373449658609949106151643744232618350175e0) }}, 
+      {{ SC_(0.1e1), SC_(0.31483119964599609375e2), SC_(-0.9230877498012981860222086238303332873573e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.2449689884414968964700618717685524683171e-19) }}, 
+      {{ SC_(0.4e1), SC_(0.69304020144045352935791015625e-4), SC_(0.6007620436965929637530930219443973179641e-19) }}, 
+      {{ SC_(0.4e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.7628005478429104492672012434718507350272e-17) }}, 
+      {{ SC_(0.4e1), SC_(0.4480001516640186309814453125e-3), SC_(0.1049014316653821463646665194851778246401e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.2387945284954097519631184175866877863264e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.19227224402129650115966796875e-2), SC_(0.3559058080985751663501872629042355217152e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.37370622158050537109375e-2), SC_(0.5079135337601192358742525894357081341335e-12) }}, 
+      {{ SC_(0.4e1), SC_(0.47696642577648162841796875e-2), SC_(0.1347781590846459623440987284254345472313e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.1275280676782131195068359375e-1), SC_(0.6887924230376394398803439333202892325557e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.20440109074115753173828125e-1), SC_(0.4545613845374467200233204286239376175147e-9) }}, 
+      {{ SC_(0.4e1), SC_(0.3429813683032989501953125e-1), SC_(0.3603506796835261381553751482886494436605e-8) }}, 
+      {{ SC_(0.4e1), SC_(0.96701286733150482177734375e-1), SC_(0.2276117732048184291309579825404846223101e-6) }}, 
+      {{ SC_(0.4e1), SC_(0.159812271595001220703125e0), SC_(0.1696502961325871806891524286212542749233e-5) }}, 
+      {{ SC_(0.4e1), SC_(0.297095477581024169921875e0), SC_(0.2019926506375704595965844529208340579256e-4) }}, 
+      {{ SC_(0.4e1), SC_(0.77344071865081787109375e0), SC_(0.9043871099795724296870802463629379435165e-3) }}, 
+      {{ SC_(0.4e1), SC_(0.1992881298065185546875e1), SC_(0.3356363239882888737614531598548044804195e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.3915013790130615234375e1), SC_(0.2683403769106168710689421055914199402732e0) }}, 
+      {{ SC_(0.4e1), SC_(0.79858455657958984375e1), SC_(-0.1019714387996719292888771314960256244029e0) }}, 
+      {{ SC_(0.4e1), SC_(0.1571910858154296875e2), SC_(-0.1970617873757679766451608652880933303855e0) }}, 
+      {{ SC_(0.4e1), SC_(0.31483119964599609375e2), SC_(0.1274270375173584709656744808050405443416e0) }}, 
+      {{ SC_(0.7e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.2476758015173796525820991581584477984471e-35) }}, 
+      {{ SC_(0.7e1), SC_(0.69304020144045352935791015625e-4), SC_(0.1190333036597015037788087962950721904204e-34) }}, 
+      {{ SC_(0.7e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.5716870852680826502230510205353692076762e-31) }}, 
+      {{ SC_(0.7e1), SC_(0.4480001516640186309814453125e-3), SC_(0.561444224078444008798450658023844580616e-29) }}, 
+      {{ SC_(0.7e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.2368545839293556062239215049355950751334e-28) }}, 
+      {{ SC_(0.7e1), SC_(0.19227224402129650115966796875e-2), SC_(0.1505828833808392807660517316033033280684e-24) }}, 
+      {{ SC_(0.7e1), SC_(0.37370622158050537109375e-2), SC_(0.1577871390165051118291058054008029867733e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.47696642577648162841796875e-2), SC_(0.8705101764884624738964439520067718158933e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.1275280676782131195068359375e-1), SC_(0.8503500497157549233110373576875716028951e-19) }}, 
+      {{ SC_(0.7e1), SC_(0.20440109074115753173828125e-1), SC_(0.2310661278306557800428208671429361931635e-17) }}, 
+      {{ SC_(0.7e1), SC_(0.3429813683032989501953125e-1), SC_(0.8654405276396266715021848331684138021568e-16) }}, 
+      {{ SC_(0.7e1), SC_(0.96701286733150482177734375e-1), SC_(0.1225344911694889641798963820236998213373e-12) }}, 
+      {{ SC_(0.7e1), SC_(0.159812271595001220703125e0), SC_(0.4123668359663111441088023707096475138751e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.297095477581024169921875e0), SC_(0.3158156744651217917953769670307028606449e-9) }}, 
+      {{ SC_(0.7e1), SC_(0.77344071865081787109375e0), SC_(0.251896150858704683595843840399835306166e-6) }}, 
+      {{ SC_(0.7e1), SC_(0.1992881298065185546875e1), SC_(0.1707853166377511336641576065559156632457e-3) }}, 
+      {{ SC_(0.7e1), SC_(0.3915013790130615234375e1), SC_(0.1335220837033977061080155342538527713965e-1) }}, 
+      {{ SC_(0.7e1), SC_(0.79858455657958984375e1), SC_(0.3197732082032941630469007231253521918143e0) }}, 
+      {{ SC_(0.7e1), SC_(0.1571910858154296875e2), SC_(0.1523464020656448663148336960516768275145e0) }}, 
+      {{ SC_(0.7e1), SC_(0.31483119964599609375e2), SC_(-0.8465752063992111585817831175823765390968e-2) }}, 
+      {{ SC_(0.1e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.7303698611664865207490004658067936181905e-52) }}, 
+      {{ SC_(0.1e2), SC_(0.69304020144045352935791015625e-4), SC_(0.6878936281621022752851314176441951633029e-51) }}, 
+      {{ SC_(0.1e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.1249662001772833555544044498679159797243e-45) }}, 
+      {{ SC_(0.1e2), SC_(0.4480001516640186309814453125e-3), SC_(0.87643279255017773967807642045361302034e-43) }}, 
+      {{ SC_(0.1e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.6852136624817352900940351580328586337538e-42) }}, 
+      {{ SC_(0.1e2), SC_(0.19227224402129650115966796875e-2), SC_(0.185824479115402751843849340758426235854e-36) }}, 
+      {{ SC_(0.1e2), SC_(0.37370622158050537109375e-2), SC_(0.1429684321223564675360504319868530544464e-33) }}, 
+      {{ SC_(0.1e2), SC_(0.47696642577648162841796875e-2), SC_(0.1639890621444124727733839773586431172039e-32) }}, 
+      {{ SC_(0.1e2), SC_(0.1275280676782131195068359375e-1), SC_(0.306191547516836368220168038780704053939e-28) }}, 
+      {{ SC_(0.1e2), SC_(0.20440109074115753173828125e-1), SC_(0.3425823439848955129914050150766420797628e-26) }}, 
+      {{ SC_(0.1e2), SC_(0.3429813683032989501953125e-1), SC_(0.6062205935674056071761047413439550035471e-24) }}, 
+      {{ SC_(0.1e2), SC_(0.96701286733150482177734375e-1), SC_(0.1923832425983654541213096146081906580397e-19) }}, 
+      {{ SC_(0.1e2), SC_(0.159812271595001220703125e0), SC_(0.2922712946223807891584380230043171121063e-17) }}, 
+      {{ SC_(0.1e2), SC_(0.297095477581024169921875e0), SC_(0.143888516723819817784418267406968074987e-14) }}, 
+      {{ SC_(0.1e2), SC_(0.77344071865081787109375e0), SC_(0.2033758816108020473655970022244540004408e-10) }}, 
+      {{ SC_(0.1e2), SC_(0.1992881298065185546875e1), SC_(0.242885590788180736747780657352089100395e-6) }}, 
+      {{ SC_(0.1e2), SC_(0.3915013790130615234375e1), SC_(0.1598475267744058553357687546625030272909e-3) }}, 
+      {{ SC_(0.1e2), SC_(0.79858455657958984375e1), SC_(0.60056972136838046146179075502942356573e-1) }}, 
+      {{ SC_(0.1e2), SC_(0.1571910858154296875e2), SC_(-0.1842232590397531945311647766302288337231e0) }}, 
+      {{ SC_(0.1e2), SC_(0.31483119964599609375e2), SC_(-0.9317261959891319658027121347121001915601e-1) }}, 
+      {{ SC_(0.13e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.90368551918725968389007265700993262299e-69) }}, 
+      {{ SC_(0.13e2), SC_(0.69304020144045352935791015625e-4), SC_(0.1667974085958167624378345556115399941477e-67) }}, 
+      {{ SC_(0.13e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.1146151324192891686284768890985563371943e-60) }}, 
+      {{ SC_(0.13e2), SC_(0.4480001516640186309814453125e-3), SC_(0.5740448587965102107018898696167719687858e-57) }}, 
+      {{ SC_(0.13e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.8317358972729155842535186608238358987262e-56) }}, 
+      {{ SC_(0.13e2), SC_(0.19227224402129650115966796875e-2), SC_(0.9621558980749171469364024498494388216795e-49) }}, 
+      {{ SC_(0.13e2), SC_(0.37370622158050537109375e-2), SC_(0.5435304733189136019244042387714022185558e-45) }}, 
+      {{ SC_(0.13e2), SC_(0.47696642577648162841796875e-2), SC_(0.1296197228784403471129989731886036646855e-43) }}, 
+      {{ SC_(0.13e2), SC_(0.1275280676782131195068359375e-1), SC_(0.4625978489147388510480567448018715189249e-38) }}, 
+      {{ SC_(0.13e2), SC_(0.20440109074115753173828125e-1), SC_(0.2131121530101465666113363379817102327031e-35) }}, 
+      {{ SC_(0.13e2), SC_(0.3429813683032989501953125e-1), SC_(0.1781711933682478816925141204995206372152e-32) }}, 
+      {{ SC_(0.13e2), SC_(0.96701286733150482177734375e-1), SC_(0.1267291457925455878167599468504869327715e-26) }}, 
+      {{ SC_(0.13e2), SC_(0.159812271595001220703125e0), SC_(0.8690870700737698910678361841372229152816e-24) }}, 
+      {{ SC_(0.13e2), SC_(0.297095477581024169921875e0), SC_(0.2749753181518427631420704990495067851464e-20) }}, 
+      {{ SC_(0.13e2), SC_(0.77344071865081787109375e0), SC_(0.6874485945761929731188960123719668004339e-15) }}, 
+      {{ SC_(0.13e2), SC_(0.1992881298065185546875e1), SC_(0.1427954947280088715244535777966915467592e-9) }}, 
+      {{ SC_(0.13e2), SC_(0.3915013790130615234375e1), SC_(0.7548925903672885635112989058254310604162e-6) }}, 
+      {{ SC_(0.13e2), SC_(0.79858455657958984375e1), SC_(0.3214379121675310487741347594390187230881e-2) }}, 
+      {{ SC_(0.13e2), SC_(0.1571910858154296875e2), SC_(0.2562871752817527993867029711304921017067e0) }}, 
+      {{ SC_(0.13e2), SC_(0.31483119964599609375e2), SC_(0.135452434319841135048770973964056570279e0) }}, 
+      {{ SC_(0.16e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.5710443102859793594686693457798971291695e-86) }}, 
+      {{ SC_(0.16e2), SC_(0.69304020144045352935791015625e-4), SC_(0.2065548122783126765855808525012370612477e-84) }}, 
+      {{ SC_(0.16e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.5368702794457035352466622003877382747158e-76) }}, 
+      {{ SC_(0.16e2), SC_(0.4480001516640186309814453125e-3), SC_(0.1920220273734407205690092457873836811378e-71) }}, 
+      {{ SC_(0.16e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.5156118426330840464377189920132922032504e-70) }}, 
+      {{ SC_(0.16e2), SC_(0.19227224402129650115966796875e-2), SC_(0.2544286257456308178600141145465753228241e-61) }}, 
+      {{ SC_(0.16e2), SC_(0.37370622158050537109375e-2), SC_(0.1055323568504563665150514946643052879562e-56) }}, 
+      {{ SC_(0.16e2), SC_(0.47696642577648162841796875e-2), SC_(0.5232452376007528048513570920264122109991e-55) }}, 
+      {{ SC_(0.16e2), SC_(0.1275280676782131195068359375e-1), SC_(0.3569372759580808303489639154371020886878e-48) }}, 
+      {{ SC_(0.16e2), SC_(0.20440109074115753173828125e-1), SC_(0.6770631088264124985080490485409279874034e-45) }}, 
+      {{ SC_(0.16e2), SC_(0.3429813683032989501953125e-1), SC_(0.2674369558860517619389933396711866115561e-41) }}, 
+      {{ SC_(0.16e2), SC_(0.96701286733150482177734375e-1), SC_(0.4263407059281994448315250268426546365419e-34) }}, 
+      {{ SC_(0.16e2), SC_(0.159812271595001220703125e0), SC_(0.1319773345595717550011326018119444329018e-30) }}, 
+      {{ SC_(0.16e2), SC_(0.297095477581024169921875e0), SC_(0.2683325671969811781305622600203263139886e-26) }}, 
+      {{ SC_(0.16e2), SC_(0.77344071865081787109375e0), SC_(0.1185527072917230718908112159994283095826e-19) }}, 
+      {{ SC_(0.16e2), SC_(0.1992881298065185546875e1), SC_(0.4257913764415272936226850400127709560274e-13) }}, 
+      {{ SC_(0.16e2), SC_(0.3915013790130615234375e1), SC_(0.1770596374018406424364588196143722326332e-8) }}, 
+      {{ SC_(0.16e2), SC_(0.79858455657958984375e1), SC_(0.7609462131466514170142031981046135155552e-4) }}, 
+      {{ SC_(0.16e2), SC_(0.1571910858154296875e2), SC_(0.1598242323049512757290685523586043599273e0) }}, 
+      {{ SC_(0.16e2), SC_(0.31483119964599609375e2), SC_(-0.146616929844240669724265072627562678578e0) }}, 
+      {{ SC_(0.19e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.2085386435150050836259354457009000018077e-103) }}, 
+      {{ SC_(0.19e2), SC_(0.69304020144045352935791015625e-4), SC_(0.1478242165594325382694493377958682108845e-101) }}, 
+      {{ SC_(0.19e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.1453319211512903213205953436626128066329e-91) }}, 
+      {{ SC_(0.19e2), SC_(0.4480001516640186309814453125e-3), SC_(0.3712107285598227397108662690263089748287e-86) }}, 
+      {{ SC_(0.19e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.1847245305223723518947855245367191928343e-84) }}, 
+      {{ SC_(0.19e2), SC_(0.19227224402129650115966796875e-2), SC_(0.3888219252235519964245528947552171853277e-74) }}, 
+      {{ SC_(0.19e2), SC_(0.37370622158050537109375e-2), SC_(0.1184163364577840228862020640686836979404e-68) }}, 
+      {{ SC_(0.19e2), SC_(0.47696642577648162841796875e-2), SC_(0.1220685316325757321764623390231984663671e-66) }}, 
+      {{ SC_(0.19e2), SC_(0.1275280676782131195068359375e-1), SC_(0.1591638310631743076506768378115511870553e-58) }}, 
+      {{ SC_(0.19e2), SC_(0.20440109074115753173828125e-1), SC_(0.1243123177590827411934225161624922624915e-54) }}, 
+      {{ SC_(0.19e2), SC_(0.3429813683032989501953125e-1), SC_(0.2319899218435133188992825576466373416419e-50) }}, 
+      {{ SC_(0.19e2), SC_(0.96701286733150482177734375e-1), SC_(0.8288911503438383816925041924523248045712e-42) }}, 
+      {{ SC_(0.19e2), SC_(0.159812271595001220703125e0), SC_(0.115821498784548972023307498969902449394e-37) }}, 
+      {{ SC_(0.19e2), SC_(0.297095477581024169921875e0), SC_(0.1513146789392266259407994247748973151373e-32) }}, 
+      {{ SC_(0.19e2), SC_(0.77344071865081787109375e0), SC_(0.1180867041363348335303085045154147913528e-24) }}, 
+      {{ SC_(0.19e2), SC_(0.1992881298065185546875e1), SC_(0.7309651660473666120687072805302589654808e-17) }}, 
+      {{ SC_(0.19e2), SC_(0.3915013790130615234375e1), SC_(0.2364159870071755910484486348587559990813e-11) }}, 
+      {{ SC_(0.19e2), SC_(0.79858455657958984375e1), SC_(0.9689789089192189055495551850283928885267e-6) }}, 
+      {{ SC_(0.19e2), SC_(0.1571910858154296875e2), SC_(0.28988183636629975718412063879767316272e-1) }}, 
+      {{ SC_(0.19e2), SC_(0.31483119964599609375e2), SC_(0.1404351655526923900119491455044344208598e0) }}, 
+      {{ SC_(0.22e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.4791884438276096956171867526066745487233e-121) }}, 
+      {{ SC_(0.22e2), SC_(0.69304020144045352935791015625e-4), SC_(0.6656698862399030252104289006319409158079e-119) }}, 
+      {{ SC_(0.22e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.2475458914860796896424360165211198402136e-107) }}, 
+      {{ SC_(0.22e2), SC_(0.4480001516640186309814453125e-3), SC_(0.4515366894275771826117281426200239790956e-101) }}, 
+      {{ SC_(0.22e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.4164178287432561100733955741346219769583e-99) }}, 
+      {{ SC_(0.22e2), SC_(0.19227224402129650115966796875e-2), SC_(0.3738854595795469765521076338466195179729e-87) }}, 
+      {{ SC_(0.22e2), SC_(0.37370622158050537109375e-2), SC_(0.8360661820524098792008512761880716972576e-81) }}, 
+      {{ SC_(0.22e2), SC_(0.47696642577648162841796875e-2), SC_(0.1791864672483119204014438872980421431477e-78) }}, 
+      {{ SC_(0.22e2), SC_(0.1275280676782131195068359375e-1), SC_(0.4465806266019354303051149660509529893234e-69) }}, 
+      {{ SC_(0.22e2), SC_(0.20440109074115753173828125e-1), SC_(0.1436157691171859834871864549854120137171e-64) }}, 
+      {{ SC_(0.22e2), SC_(0.3429813683032989501953125e-1), SC_(0.1266250352189026976463935184908537726894e-59) }}, 
+      {{ SC_(0.22e2), SC_(0.96701286733150482177734375e-1), SC_(0.1014002264944669915985752126502534659735e-49) }}, 
+      {{ SC_(0.22e2), SC_(0.159812271595001220703125e0), SC_(0.6395517348407679453466968468982951315152e-45) }}, 
+      {{ SC_(0.22e2), SC_(0.297095477581024169921875e0), SC_(0.5368707332343228506070497601994580522396e-39) }}, 
+      {{ SC_(0.22e2), SC_(0.77344071865081787109375e0), SC_(0.7398504152815100288293238816236231544857e-30) }}, 
+      {{ SC_(0.22e2), SC_(0.1992881298065185546875e1), SC_(0.7877708523407809449378036883914301743673e-21) }}, 
+      {{ SC_(0.22e2), SC_(0.3915013790130615234375e1), SC_(0.1968332845994952491334209201789498977283e-14) }}, 
+      {{ SC_(0.22e2), SC_(0.79858455657958984375e1), SC_(0.7448464245775065475039475038584227288619e-8) }}, 
+      {{ SC_(0.22e2), SC_(0.1571910858154296875e2), SC_(0.253851170309502550500960913045849958251e-2) }}, 
+      {{ SC_(0.22e2), SC_(0.31483119964599609375e2), SC_(-0.8447893849187497539115391467530479019211e-1) }}, 
+      {{ SC_(0.25e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.7372571830959398154087818458405571713543e-139) }}, 
+      {{ SC_(0.25e2), SC_(0.69304020144045352935791015625e-4), SC_(0.2007082018704239928877827931765826257223e-136) }}, 
+      {{ SC_(0.25e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.282321085875648461583736420544653624557e-123) }}, 
+      {{ SC_(0.25e2), SC_(0.4480001516640186309814453125e-3), SC_(0.3677548883718449906250285120192357358526e-116) }}, 
+      {{ SC_(0.25e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.6285313494759937735919237336354498066612e-114) }}, 
+      {{ SC_(0.25e2), SC_(0.19227224402129650115966796875e-2), SC_(0.240723943542042702532722602099509196343e-100) }}, 
+      {{ SC_(0.25e2), SC_(0.37370622158050537109375e-2), SC_(0.3952415336587423864493642493686435620558e-93) }}, 
+      {{ SC_(0.25e2), SC_(0.47696642577648162841796875e-2), SC_(0.1761163090097583722535523692248334183587e-90) }}, 
+      {{ SC_(0.25e2), SC_(0.1275280676782131195068359375e-1), SC_(0.838973477506519849649546640592049467827e-80) }}, 
+      {{ SC_(0.25e2), SC_(0.20440109074115753173828125e-1), SC_(0.1110920317250862811627432685131862921107e-74) }}, 
+      {{ SC_(0.25e2), SC_(0.3429813683032989501953125e-1), SC_(0.4627673735504195531564801614260252853823e-69) }}, 
+      {{ SC_(0.25e2), SC_(0.96701286733150482177734375e-1), SC_(0.830561324288197807079744142399604541678e-58) }}, 
+      {{ SC_(0.25e2), SC_(0.159812271595001220703125e0), SC_(0.236456302063194497551168460901108346276e-52) }}, 
+      {{ SC_(0.25e2), SC_(0.297095477581024169921875e0), SC_(0.1275371942824651350612111302983155850293e-45) }}, 
+      {{ SC_(0.25e2), SC_(0.77344071865081787109375e0), SC_(0.3103000869941400473392593242837244578633e-35) }}, 
+      {{ SC_(0.25e2), SC_(0.1992881298065185546875e1), SC_(0.5676014969386446596753686198525691279888e-25) }}, 
+      {{ SC_(0.25e2), SC_(0.3915013790130615234375e1), SC_(0.1090825721430814617531511126945649824391e-17) }}, 
+      {{ SC_(0.25e2), SC_(0.79858455657958984375e1), SC_(0.3734200809691738263209576777640843925841e-10) }}, 
+      {{ SC_(0.25e2), SC_(0.1571910858154296875e2), SC_(0.1291120784936711314245621877597952164143e-3) }}, 
+      {{ SC_(0.25e2), SC_(0.31483119964599609375e2), SC_(-0.7461962297933840624621930608252220218503e-1) }}, 
+      {{ SC_(0.28e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.7963713582106584412097140308116466491608e-157) }}, 
+      {{ SC_(0.28e2), SC_(0.69304020144045352935791015625e-4), SC_(0.4248692230753312125913578638497606609336e-154) }}, 
+      {{ SC_(0.28e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.2260553821923174448109780057299133388939e-139) }}, 
+      {{ SC_(0.28e2), SC_(0.4480001516640186309814453125e-3), SC_(0.2102847637959861796417097898716140319015e-131) }}, 
+      {{ SC_(0.28e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.6660525810149796134788024971104638208402e-129) }}, 
+      {{ SC_(0.28e2), SC_(0.19227224402129650115966796875e-2), SC_(0.108813792122284445419802118573486294617e-113) }}, 
+      {{ SC_(0.28e2), SC_(0.37370622158050537109375e-2), SC_(0.1311802444742152354234077144037248874522e-105) }}, 
+      {{ SC_(0.28e2), SC_(0.47696642577648162841796875e-2), SC_(0.1215284288581256977996490020569407519253e-102) }}, 
+      {{ SC_(0.28e2), SC_(0.1275280676782131195068359375e-1), SC_(0.1106574120737639697400622354620027455407e-90) }}, 
+      {{ SC_(0.28e2), SC_(0.20440109074115753173828125e-1), SC_(0.6033198112217245150379653252026122716124e-85) }}, 
+      {{ SC_(0.28e2), SC_(0.3429813683032989501953125e-1), SC_(0.1187379908091547229246861752037218903857e-78) }}, 
+      {{ SC_(0.28e2), SC_(0.96701286733150482177734375e-1), SC_(0.4776253533970672888906190995310047058597e-66) }}, 
+      {{ SC_(0.28e2), SC_(0.159812271595001220703125e0), SC_(0.6137721383009946630525985606230109474371e-60) }}, 
+      {{ SC_(0.28e2), SC_(0.297095477581024169921875e0), SC_(0.2127051389870186274825552068510907743209e-52) }}, 
+      {{ SC_(0.28e2), SC_(0.77344071865081787109375e0), SC_(0.9135584911756594671676404048881870523782e-41) }}, 
+      {{ SC_(0.28e2), SC_(0.1992881298065185546875e1), SC_(0.2868280579406050057547310818758384973257e-29) }}, 
+      {{ SC_(0.28e2), SC_(0.3915013790130615234375e1), SC_(0.4227077578718476642466348871890940509389e-21) }}, 
+      {{ SC_(0.28e2), SC_(0.79858455657958984375e1), SC_(0.1291218836633488658985438527652338235293e-12) }}, 
+      {{ SC_(0.28e2), SC_(0.1571910858154296875e2), SC_(0.4222984862431763788622725393431592171924e-5) }}, 
+      {{ SC_(0.28e2), SC_(0.31483119964599609375e2), SC_(0.1996895117755311022877682593279374977116e0) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_large_data.ipp b/src/boost/libs/math/test/bessel_j_large_data.ipp
new file mode 100644
index 00000000..f287cc41
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_large_data.ipp
@@ -0,0 +1,79 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 70> bessel_j_large_data = {{
+      {{ SC_(0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.2307850131230964328215158373258970201933e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(0.331270090805281544869225081474258975783e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(0.1392044369140870127137144436194280008198e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.1034372792561996393994604565745500159306e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(-0.7703453431004507456085858477671512851731e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(0.1959284506006571693892495807977692143684e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.48982421875e3), SC_(0.3554545809249573170321495025893136154241e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(-0.2922687275543058917680294015955588486854e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(0.1607375857460556311523938125070882107754e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.1488078416329900906439423002725322373542e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(-0.1140024419570086978904733358200459324628e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(-0.3122722904155054704789731376588374939888e-2) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.209469140625e5), SC_(0.3655895534999378610724150587348023983602e-2) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.389408984375e5), SC_(-0.1325113645945403697015197310014126427368e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.6868013625729672215673766261089739717914e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(0.2142196934269988501665220845763503388042e0) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(-0.6854165161240333873733646364329358362341e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(0.9706365272921634392020123576878096972323e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(0.4318373430471325672009672522183904089517e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(-0.3323948817558893756314993595448795803537e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.48982421875e3), SC_(-0.3208784009186279824559250801925804018465e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.62516943359375e3), SC_(0.2415910850536018880522735141575176512777e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(-0.1232973481208096922064985021712946282434e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.26791259765625e4), SC_(0.1541293552432680038181584370193664107473e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.4495525390625e4), SC_(0.1002388002178436742775036807597412212988e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.126748310546875e5), SC_(0.4739251557631330719337662497765662043458e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.209469140625e5), SC_(-0.4641170982395964367850932352617365960394e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.389408984375e5), SC_(0.2364161829230146293999578445914286938024e-3) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(0.5389197635915806233390841938474448086338e-16) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(0.3952459558161787055937696735475346378253e-13) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(0.1431568992863962918440953734528390055733e0) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(0.8578089143574435265609743500241838450074e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(0.1410641386118672963443531500494113618346e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(-0.2831444492336412069372220459848882424058e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.48982421875e3), SC_(-0.2314909531023927534092551249336846514091e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(0.2170848675622913630936132875332654675284e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(-0.9325685551001457451901386831696429723505e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(-0.6947960924639771467867037818061032165711e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(0.2522782171073615304290664333918949926448e-3) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(-0.7032986459719800448169085872312178500116e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.209469140625e5), SC_(0.5122201654532113914038286303179605549787e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.389408984375e5), SC_(0.3118763746002366768916876665037341197225e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(0.1355459268067898658151384249990581267605e-46) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(0.6263805301401313877353888242546513061021e-41) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(0.1202543691751492070742433226952612421088e-11) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(0.1150759176943336800292116211528794948354e0) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(-0.1047430440042659670890981946453377232975e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(-0.4086747435836167042364362710950743904056e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.48982421875e3), SC_(-0.8183965550065315841115618961272005737216e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.62516943359375e3), SC_(0.2146006391006581305906226294562488601133e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(-0.1521907719127834149642973426124244709606e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.26791259765625e4), SC_(-0.5359901862639028443437495673595828567149e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.4495525390625e4), SC_(-0.6687847432133282099926443966258547872974e-3) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.126748310546875e5), SC_(-0.7023133406228636526878960014610930229604e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.209469140625e5), SC_(0.5494684780269989275230320303506992388372e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.389408984375e5), SC_(0.2133199464416083487500787075862183481877e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(0.18957209567263693085259721077483394587e-63) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(0.18129450849783963899751662717930347867e-56) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(0.799552979179394942566748705329500029705e-20) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(0.1552366431895120369074625091623203198931e-3) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.1074534531973475595081469483471348487375e0) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(-0.4021841759432511100331858349923571437074e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.48982421875e3), SC_(-0.2170518020212747257681494905588835722404e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(0.3200282452240180595697263016953209545847e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(0.1388345457492732160509267345077835744377e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.1211552634023650615661641900044154973817e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.1044260623905249384981833094590727496255e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(0.4589655631278176598474380175755836047107e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.209469140625e5), SC_(-0.2719723241223086004132685612975137005354e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.389408984375e5), SC_(-0.4035830877477336799210808243472842844322e-2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_prime_data.ipp b/src/boost/libs/math/test/bessel_j_prime_data.ipp
new file mode 100644
index 00000000..f70d3827
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_data.ipp
@@ -0,0 +1,733 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 720
+#if LDBL_MAX_10_EXP < 370
+      - 5
+#endif
+   > bessel_j_prime_data = {{
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.553809732082299888134002685546875e-4), SC_(7.9648978910149220644314151981633892502393579865714) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.69304020144045352935791015625e-4), SC_(6.3653848991988529988220477650241685520191503142332) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.23264062474481761455535888671875e-3), SC_(1.8971705960000986690398059822421160899926699465394) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.4480001516640186309814453125e-3), SC_(0.98529897246253853844800411025777530163752073502973) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.5502865533344447612762451171875e-3), SC_(0.80213378584577808385371731269994831627611100850731) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.22881945446922959370415245044176092614274648710909) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.37370622158050537109375e-2), SC_(0.11639238325218579687879378821010964741303634572024) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.47696642577648162841796875e-2), SC_(0.090285635947979939708760228970288288400405507095951) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.028310110253065767611367722783039281567929780822508) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.20440109074115753173828125e-1), SC_(0.011437832630785135189848926023917028888883030118541) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3429813683032989501953125e-1), SC_(-0.0042186780829510697643927657163520133060777440127718) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.96701286733150482177734375e-1), SC_(-0.043654403685014564129834014054367553568659669792961) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.159812271595001220703125e0), SC_(-0.076795076483668747332489412246651051532303741843621) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.297095477581024169921875e0), SC_(-0.14530589560654803595230285920771334403536798001997) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.77344071865081787109375e0), SC_(-0.35781255859257494677870346599515476750516695439221) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1992881298065185546875e1), SC_(-0.57709619128762175849182337519495024595142653978034) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3915013790130615234375e1), SC_(0.032874697176171305159599881134984554120579875033562) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.79858455657958984375e1), SC_(-0.23248455952535491176666424888090762133592541368724) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1571910858154296875e2), SC_(-0.13744744338917036209493697966640300199111782413145) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.31483119964599609375e2), SC_(0.092384054297253080189500208979099324382934270491253) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.553809732082299888134002685546875e-4), SC_(9.9563140737354415945593422946525211226319134399898) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.69304020144045352935791015625e-4), SC_(7.9570862305908154157502670767893857144258643910134) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.23264062474481761455535888671875e-3), SC_(2.3719155181483651140283794679798873388028215296304) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.4480001516640186309814453125e-3), SC_(1.2319894744844574970516920107312783189510124193957) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.5502865533344447612762451171875e-3), SC_(1.0030112034602294475985095364967567453689835477452) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.28638350069997314241293417948854845587335617752927) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.37370622158050537109375e-2), SC_(0.14602972396377771654216460801323111364027557644216) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.47696642577648162841796875e-2), SC_(0.11351290994319074087410492441665358190230772804358) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.037008791924439581267986370097571362280888733460166) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.20440109074115753173828125e-1), SC_(0.016870508777086141024636797643775059196570100354985) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.3429813683032989501953125e-1), SC_(-0.0009748286242877649280689834700793092180965082559188) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.96701286733150482177734375e-1), SC_(-0.042489525327810393709078101729898351459510301627119) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.159812271595001220703125e0), SC_(-0.076077771654874512175725382541977707974494001219809) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.297095477581024169921875e0), SC_(-0.1449016974533794537266458225037915821627831419956) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.77344071865081787109375e0), SC_(-0.35763606304629819698651497909483012152923309977282) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1992881298065185546875e1), SC_(-0.57707668367484666209769235993304653592448524328446) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.3915013790130615234375e1), SC_(0.032803565971798883663621750338601798771900853737723) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.79858455657958984375e1), SC_(-0.23245627383271580403946117793068576486562704835183) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1571910858154296875e2), SC_(-0.13747319597155377972477306724918905968623791762052) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.31483119964599609375e2), SC_(0.092402972740382015495412561744044435050456817053477) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.553809732082299888134002685546875e-4), SC_(32.991155195510662374452228181394207719668827912585) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.69304020144045352935791015625e-4), SC_(26.374288085785808071594815766184735941437037668361) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.23264062474481761455535888671875e-3), SC_(7.8745670452285410777433428652060226596690838235756) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.4480001516640186309814453125e-3), SC_(4.0939888412516262352091077877368046329988231549179) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.5502865533344447612762451171875e-3), SC_(3.3341891189206161618889782248584501135265038836937) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.19227224402129650115966796875e-2), SC_(0.95560384937570815980175679166160209025653903976137) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.37370622158050537109375e-2), SC_(0.49090952938765514533182157874449576923325297005204) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.47696642577648162841796875e-2), SC_(0.38389476017333637199587327253156428168993195132975) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1275280676782131195068359375e-1), SC_(0.138409389156362855297988849958748604218151741016) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.20440109074115753173828125e-1), SC_(0.080241816559198872765517481865392895830572812371149) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.3429813683032989501953125e-1), SC_(0.036892112652472221644586526213180260842441269686804) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.96701286733150482177734375e-1), SC_(-0.02887110612739140483997421990789250909295516887439) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.159812271595001220703125e0), SC_(-0.067685739169149094863754883494101630051701749161209) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.297095477581024169921875e0), SC_(-0.14016851381502971127112075638647269597367135444309) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.77344071865081787109375e0), SC_(-0.35556632184765282255617154328610427789832356622214) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1992881298065185546875e1), SC_(-0.57684653674632859345467293924518112947171640665078) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.3915013790130615234375e1), SC_(0.031969124632149993427358514338814374853801046758595) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.79858455657958984375e1), SC_(-0.23212392987235794473256668897443830855028454545551) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1571910858154296875e2), SC_(-0.13777498598113913007808999712256844131654804580519) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.31483119964599609375e2), SC_(0.092624697644537533475041370994881579560890987351129) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.553809732082299888134002685546875e-4), SC_(62.454904613305025985092541568718072298279856562443) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.69304020144045352935791015625e-4), SC_(49.947950666961749968398510500237745648681418603404) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.23264062474481761455535888671875e-3), SC_(14.944193661627905898455586863695741230110016599631) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.4480001516640186309814453125e-3), SC_(7.7784129572206297283822428686304106551362644795044) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.5502865533344447612762451171875e-3), SC_(6.3371526780999425820466081747816869557736781837329) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.19227224402129650115966796875e-2), SC_(1.820993665575078594500973453282200116278151251087) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.37370622158050537109375e-2), SC_(0.9377936281725870885241868271005730443425730711559) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.47696642577648162841796875e-2), SC_(0.73450867711905500446374700000456510885348368932524) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.1275280676782131195068359375e-1), SC_(0.27029553238094754272834952547486499293865621939941) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.20440109074115753173828125e-1), SC_(0.16278442505650975565354006872279918590899945301714) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.3429813683032989501953125e-1), SC_(0.086292944004707690950589840564950857129632612299699) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.96701286733150482177734375e-1), SC_(-0.01104782892769029720544801382986554239946069854045) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.159812271595001220703125e0), SC_(-0.05668535469393136238714153940266293419595207886607) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.297095477581024169921875e0), SC_(-0.13395208202148233977338620116710632764449019915955) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.77344071865081787109375e0), SC_(-0.35283962535090438998824674990498799699024494912424) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.1992881298065185546875e1), SC_(-0.57653944367953511466145604243653167683836799979183) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.3915013790130615234375e1), SC_(0.030868990724401199078667741038245477603972593270015) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.79858455657958984375e1), SC_(-0.23168428917079507517559801618314290273647233672929) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.1571910858154296875e2), SC_(-0.13817198405516350060106646524335248058260389189795) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.31483119964599609375e2), SC_(0.092916436595105559391595180151309343563751077592049) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.553809732082299888134002685546875e-4), SC_(76.094037091452672841408919517251753935599130990416) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.69304020144045352935791015625e-4), SC_(60.86694014763617381883362484413204002437988483891) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.23264062474481761455535888671875e-3), SC_(18.229182783832605707598240444273148205330129326374) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.4480001516640186309814453125e-3), SC_(9.4933663212904445110802371668553605819628244021874) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.5502865533344447612762451171875e-3), SC_(7.7356648564267450544222554441272100183990241145299) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.19227224402129650115966796875e-2), SC_(2.2253316945948961542743895239623228539455376609079) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.37370622158050537109375e-2), SC_(1.1469531280898255753143802718054167596670751930758) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.47696642577648162841796875e-2), SC_(0.8987138042469555955140638448947036336020766497208) }}, 
+      {{ SC_(0.44022924266755580902099609375e-2), SC_(0.1275280676782131195068359375e-1), SC_(0.33222006268427673176001775575327506626793624720047) }}, 
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+      {{ SC_(-0.618752574920654296875e1), SC_(0.1571910858154296875e2), SC_(-0.13646497651694413062087338033835273332177981957281) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.31483119964599609375e2), SC_(0.027827355903320065863025843071254167156921275283086) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.553809732082299888134002685546875e-4), SC_(8.4001523341827038432231402722998721443142330918029e+88) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.69304020144045352935791015625e-4), SC_(1.8796222553522528946620379625259071351108320901138e+87) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.23264062474481761455535888671875e-3), SC_(2.3081325916347882778073752606750486492668025854818e+78) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.4480001516640186309814453125e-3), SC_(3.478515150118406691595592053627769982231673500328e+73) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.5502865533344447612762451171875e-3), SC_(1.0670813727575964549272980712377341426694937581102e+72) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.19227224402129650115966796875e-2), SC_(6.6461334772063947653408668199451299578982343030567e+62) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.37370622158050537109375e-2), SC_(8.5619384530651836961194424228825518552684541970703e+57) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.47696642577648162841796875e-2), SC_(1.3719213377554659464306815751401633848492260535841e+56) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1275280676782131195068359375e-1), SC_(7955158190212178420335468368124232663880717342110.2) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.20440109074115753173828125e-1), SC_(2687830185054672115670778035161362230550317234.9171) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.3429813683032989501953125e-1), SC_(417660847046267243923149265721102299918747.3327615) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.96701286733150482177734375e-1), SC_(9857412566370820437179391176824948.4480973116452753) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.159812271595001220703125e0), SC_(1982746222928083889201392122860.5529495215191051141) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.297095477581024169921875e0), SC_(54342658614656265715301011.291462576149999975040162) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.77344071865081787109375e0), SC_(4989069325897041578.9287143951601924931745358960062) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1992881298065185546875e1), SC_(568820654109.75213716307392588957540692056153767208) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.3915013790130615234375e1), SC_(7228733.3457096840440213548757017280593929621744697) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.79858455657958984375e1), SC_(85.218410883780746589554552518759217135548634643101) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1571910858154296875e2), SC_(0.083138583238802217337982342423668412467885504693672) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.31483119964599609375e2), SC_(0.026092609809789979593703213872413724681414333167314) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.553809732082299888134002685546875e-4), SC_(6.732265130331118411406210733134040868570474523393e+180) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.69304020144045352935791015625e-4), SC_(4.7890805105156653308354285280134561894764616686371e+177) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.23264062474481761455535888671875e-3), SC_(4.8109334124012977057393970639279785207684445563722e+160) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.4480001516640186309814453125e-3), SC_(3.049052750399900587178257099373852751425565819684e+151) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.5502865533344447612762451171875e-3), SC_(3.9594237279973587787148322093805851499714508240285e+148) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.19227224402129650115966796875e-2), SC_(1.0894842839824276085850763917542395186000660442094e+131) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.37370622158050537109375e-2), SC_(5.1190963995973892592278162982935522403814915185721e+121) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.47696642577648162841796875e-2), SC_(1.9259093785260067277950959762634816738979484178694e+118) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1275280676782131195068359375e-1), SC_(3.0209004816077561502611340316195266897611051320687e+104) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.20440109074115753173828125e-1), SC_(7.2189850508763419944174046157635499799131383398434e+97) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.3429813683032989501953125e-1), SC_(3.9203759513806755842698539491059510914538050043793e+90) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.96701286733150482177734375e-1), SC_(1.1068238961489066737178853560695046742443653655441e+76) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.159812271595001220703125e0), SC_(9.8310501753961151205121686731703916211875717169597e+68) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.297095477581024169921875e0), SC_(1.9474201739442400194932589993162245643234473214871e+60) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.77344071865081787109375e0), SC_(72637648749801605640594500299031420664728634405.057) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1992881298065185546875e1), SC_(3865026197564005029397831991829306.6380852182772186) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.3915013790130615234375e1), SC_(1404011109550035690853366.2231718837052560358837621) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.79858455657958984375e1), SC_(201998574478312.5859314533387877544464625179036473) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1571910858154296875e2), SC_(273866.85062463153642269420825285461481145130239201) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.31483119964599609375e2), SC_(0.040177706317001652135569144163854139601049432365744) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.638867645263671875e2), SC_(0.553809732082299888134002685546875e-4), SC_(2.3698927678173738831066761972137110281877681762679e+383) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.69304020144045352935791015625e-4), SC_(1.1347435085188848198271269654218346241788725670797e+377) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.23264062474481761455535888671875e-3), SC_(8.4954816338456215028286500709836088758658594626306e+342) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.4480001516640186309814453125e-3), SC_(2.9033181046257357700429477801583184943123438667291e+324) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.5502865533344447612762451171875e-3), SC_(4.6538211817343001183895076979754694438753107525127e+318) }}, 
+#endif
+      {{ SC_(-0.638867645263671875e2), SC_(0.19227224402129650115966796875e-2), SC_(2.5884127570342517807802184680833064189350946360272e+283) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.37370622158050537109375e-2), SC_(4.8508986987836801234656433955696736929307399214621e+264) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.47696642577648162841796875e-2), SC_(6.4652313804985336441271270491093075957693244755895e+257) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1275280676782131195068359375e-1), SC_(1.2481913994843204247151724194175209513818899114211e+230) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.20440109074115753173828125e-1), SC_(6.3452402812155401507978956824225465373086743151221e+216) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.3429813683032989501953125e-1), SC_(1.6471284344367667896225149421358528479494425365156e+202) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.96701286733150482177734375e-1), SC_(1.0167245949532858220681726036512131689235250729876e+173) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.159812271595001220703125e0), SC_(7.0855606144842314101921479749180352596328021493921e+158) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.297095477581024169921875e0), SC_(2.3844448492985196529635784175504063632397857898622e+141) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.77344071865081787109375e0), SC_(2.6048251069659582851724058248351336224666813212987e+114) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1992881298065185546875e1), SC_(5.6160513564930999055692078692461392613591823835801e+87) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.3915013790130615234375e1), SC_(5.498812871670615045881011453415585469720132723112e+68) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.79858455657958984375e1), SC_(5411799740662393319191711873139592736080843868560.4) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1571910858154296875e2), SC_(910129039949789177025388333870.53660912834462595725) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.31483119964599609375e2), SC_(477742493665.49170927134873191131936373256371654668) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_prime_int_data.ipp b/src/boost/libs/math/test/bessel_j_prime_int_data.ipp
new file mode 100644
index 00000000..7f89b984
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_int_data.ipp
@@ -0,0 +1,903 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 896> bessel_j_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(-8.6532770637826959996036352233123749969269387214742e-07) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(-1.082875314750073739565916601264494477250584335342e-06) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(-3.6350097616137599975154414859780356083927094699044e-06) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(-7.0000023695787909349097782319695161608515974031987e-06) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(-8.5982273955328680071189358596754762829168944805573e-06) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(-3.0042538114770070369352805041883730188463833118739e-05) }}, 
+      {{ SC_(0.0), SC_(0.116783194243907928466796875e-3), SC_(-5.8391597022408593884593798440128797224531413316046e-05) }}, 
+      {{ SC_(0.0), SC_(0.149052008055150508880615234375e-3), SC_(-7.4526003820611873275618570638597471453507592073022e-05) }}, 
+      {{ SC_(0.0), SC_(0.3985252114944159984588623046875e-3), SC_(-0.00019926260179128875596958527588421993087864972378482) }}, 
+      {{ SC_(0.0), SC_(0.63875340856611728668212890625e-3), SC_(-0.00031937668799461078462095468191142199676107353268414) }}, 
+      {{ SC_(0.0), SC_(0.10718167759478092193603515625e-2), SC_(-0.00053590831101805319884851555459274406344951933890925) }}, 
+      {{ SC_(0.0), SC_(0.302191521041095256805419921875e-2), SC_(-0.0015109558804534016451881641704527805135072146502315) }}, 
+      {{ SC_(0.0), SC_(0.499413348734378814697265625e-2), SC_(-0.0024970589586470101824905275711945163368773628504049) }}, 
+      {{ SC_(0.0), SC_(0.928423367440700531005859375e-2), SC_(-0.004642066820317960809690683300142997074645281491313) }}, 
+      {{ SC_(0.0), SC_(0.241700224578380584716796875e-1), SC_(-0.012084128757582752071806633114629290747504060716828) }}, 
+      {{ SC_(0.0), SC_(0.6227754056453704833984375e-1), SC_(-0.031123676287555626763445621624465166512983390930896) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875e0), SC_(-0.061057708094690239849216568742821152478027199712044) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875e0), SC_(-0.12380996625346937610523536079167598077197103196986) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375e0), SC_(-0.23827696230364644118075077312728350231461010203119) }}, 
+      {{ SC_(0.0), SC_(0.98384749889373779296875e0), SC_(-0.43475639303623813062429779786150299582527673276141) }}, 
+      {{ SC_(0.0), SC_(0.11576130390167236328125e1), SC_(-0.48711647358966534000543577089846185147646818027478) }}, 
+      {{ SC_(0.0), SC_(0.3451677799224853515625e1), SC_(-0.15762889603997323748106344455034261827540551786683) }}, 
+      {{ SC_(0.0), SC_(0.788237094879150390625e1), SC_(-0.21620542081836905819230529903303065520772215849306) }}, 
+      {{ SC_(0.0), SC_(0.15848876953125e2), SC_(-0.11667862705625529027948213610287110911446401203924) }}, 
+      {{ SC_(0.1e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.49999999942492771384298052799916741838663312550992) }}, 
+      {{ SC_(0.1e1), SC_(0.69304020144045352935791015625e-4), SC_(0.49999999909942864877671026019948448559391073505058) }}, 
+      {{ SC_(0.1e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.499999989852188735328956350002167598643264662455) }}, 
+      {{ SC_(0.1e1), SC_(0.4480001516640186309814453125e-3), SC_(0.4999999623679750449477176449410603200324160738515) }}, 
+      {{ SC_(0.1e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.49999994322213417259089023157928440742853321097516) }}, 
+      {{ SC_(0.1e1), SC_(0.19227224402129650115966796875e-2), SC_(0.4999993068386313094492273235957592720832822921268) }}, 
+      {{ SC_(0.1e1), SC_(0.37370622158050537109375e-2), SC_(0.49999738144616366882434596041523913440331476865703) }}, 
+      {{ SC_(0.1e1), SC_(0.47696642577648162841796875e-2), SC_(0.49999573443852669879893351364977629482653254035205) }}, 
+      {{ SC_(0.1e1), SC_(0.1275280676782131195068359375e-1), SC_(0.4999695064543116179615005455933450595992743509876) }}, 
+      {{ SC_(0.1e1), SC_(0.20440109074115753173828125e-1), SC_(0.49992166513677137770546149801804198933612439686551) }}, 
+      {{ SC_(0.1e1), SC_(0.3429813683032989501953125e-1), SC_(0.49977945010734455539681970982311210571822507220364) }}, 
+      {{ SC_(0.1e1), SC_(0.96701286733150482177734375e-1), SC_(0.49824779974515275629596562012328757837777712137835) }}, 
+      {{ SC_(0.1e1), SC_(0.159812271595001220703125e0), SC_(0.49521974412723318199543819892405982808588375931292) }}, 
+      {{ SC_(0.1e1), SC_(0.297095477581024169921875e0), SC_(0.48355135938900797260459530698530771097335947319244) }}, 
+      {{ SC_(0.1e1), SC_(0.77344071865081787109375e0), SC_(0.39241458162493758561769226797080928696562197564917) }}, 
+      {{ SC_(0.1e1), SC_(0.1992881298065185546875e1), SC_(-0.061619737135234892338595043962987165709230453576274) }}, 
+      {{ SC_(0.1e1), SC_(0.3915013790130615234375e1), SC_(-0.39290319605920753947168196339228416669899384044269) }}, 
+      {{ SC_(0.1e1), SC_(0.79858455657958984375e1), SC_(0.14583141931584640909010319204905863507861999460925) }}, 
+      {{ SC_(0.1e1), SC_(0.1571910858154296875e2), SC_(-0.15145963497536240984673974355792878883841231288619) }}, 
+      {{ SC_(0.1e1), SC_(0.31483119964599609375e2), SC_(0.10962844908422735210769459538120509525793203962829) }}, 
+      {{ SC_(0.4e1), SC_(0.553809732082299888134002685546875e-4), SC_(1.7693368262174888896238964738107003669524226043035e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.69304020144045352935791015625e-4), SC_(3.4674008369257558740171674373495893574096907864769e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.23264062474481761455535888671875e-3), SC_(1.3115517509420754127960426519126947677168206400723e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.4480001516640186309814453125e-3), SC_(9.3661960380495629622137357856869182270416388742532e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.5502865533344447612762451171875e-3), SC_(1.7357831132937968817392795017011916501489255871193e-12) }}, 
+      {{ SC_(0.4e1), SC_(0.19227224402129650115966796875e-2), SC_(7.4042049494318174815042257132143269722982060199314e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.37370622158050537109375e-2), SC_(5.4364988014235539823907985771899239309234261379898e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.47696642577648162841796875e-2), SC_(1.1302940848397100770820867105606709545842201552472e-09) }}, 
+      {{ SC_(0.4e1), SC_(0.1275280676782131195068359375e-1), SC_(2.1604330248107663969856437007044251758680877766477e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.20440109074115753173828125e-1), SC_(8.8953857340211285658972412983716399290248998578182e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.3429813683032989501953125e-1), SC_(4.2024449758229269593374321819654716690052660413216e-07) }}, 
+      {{ SC_(0.4e1), SC_(0.96701286733150482177734375e-1), SC_(9.4128451032217689955820303821981246359400931484752e-06) }}, 
+      {{ SC_(0.4e1), SC_(0.159812271595001220703125e0), SC_(4.2435277297319406236849305446892646307888302002941e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.297095477581024169921875e0), SC_(0.00027135599414622583849557151099906031568896387896581) }}, 
+      {{ SC_(0.4e1), SC_(0.77344071865081787109375e0), SC_(0.0046069141899053437359811541838758520302589287908814) }}, 
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+      {{ SC_(-0.19e2), SC_(-0.37370622158050537109375e-2), SC_(-6.0205322294031717930078004891271586607311617710025e-66) }}, 
+      {{ SC_(-0.19e2), SC_(-0.47696642577648162841796875e-2), SC_(-4.8626106707985934651262006146770209583452376471811e-64) }}, 
+      {{ SC_(-0.19e2), SC_(-0.1275280676782131195068359375e-1), SC_(-2.3713306396943905826551084027604850444122101979773e-56) }}, 
+      {{ SC_(-0.19e2), SC_(-0.20440109074115753173828125e-1), SC_(-1.1555382265435883720858940826914569162124121466451e-52) }}, 
+      {{ SC_(-0.19e2), SC_(-0.3429813683032989501953125e-1), SC_(-1.2851431884544343032155179779619591210654154347326e-48) }}, 
+      {{ SC_(-0.19e2), SC_(-0.96701286733150482177734375e-1), SC_(-1.6285965379144607001611281835346188219396556475167e-40) }}, 
+      {{ SC_(-0.19e2), SC_(-0.159812271595001220703125e0), SC_(-1.3769496559321795537210807315973069916510620427275e-36) }}, 
+      {{ SC_(-0.19e2), SC_(-0.297095477581024169921875e0), SC_(-9.6758288218279007718777871939617181794816724765861e-32) }}, 
+      {{ SC_(-0.19e2), SC_(-0.77344071865081787109375e0), SC_(-2.8985812066397683998166208757403762606414549048065e-24) }}, 
+      {{ SC_(-0.19e2), SC_(-0.1992881298065185546875e1), SC_(-6.9324694474892737027863159799017284927750160040651e-17) }}, 
+      {{ SC_(-0.19e2), SC_(-0.3915013790130615234375e1), SC_(-1.1239990774017179889685349151957195044522263040433e-11) }}, 
+      {{ SC_(-0.19e2), SC_(-0.79858455657958984375e1), SC_(-2.104023721890745372689589784178907665525692293693e-06) }}, 
+      {{ SC_(-0.19e2), SC_(-0.1571910858154296875e2), SC_(-0.021244763464654277297827339047906115004983991014952) }}, 
+      {{ SC_(-0.19e2), SC_(-0.31483119964599609375e2), SC_(0.063272920892309919192083854195447158441556046134454) }}, 
+      {{ SC_(-0.22e2), SC_(-0.553809732082299888134002685546875e-4), SC_(-1.9035681667307408240818117493421808122179114533803e-116) }}, 
+      {{ SC_(-0.22e2), SC_(-0.69304020144045352935791015625e-4), SC_(-2.1131151507185181299411994393137714082719644503812e-114) }}, 
+      {{ SC_(-0.22e2), SC_(-0.23264062474481761455535888671875e-3), SC_(-2.3409538288406003625807872734059247657544265202434e-103) }}, 
+      {{ SC_(-0.22e2), SC_(-0.4480001516640186309814453125e-3), SC_(-2.2173669201983938045529251847298026623331932741347e-97) }}, 
+      {{ SC_(-0.22e2), SC_(-0.5502865533344447612762451171875e-3), SC_(-1.6648039415279934728907273221501705153180287189341e-95) }}, 
+      {{ SC_(-0.22e2), SC_(-0.19227224402129650115966796875e-2), SC_(-4.2780382174096195604820395121390049161926815108261e-84) }}, 
+      {{ SC_(-0.22e2), SC_(-0.37370622158050537109375e-2), SC_(-4.9219024702162495221248160085917969960558847994543e-78) }}, 
+      {{ SC_(-0.22e2), SC_(-0.47696642577648162841796875e-2), SC_(-8.264946918280605486433241538819273573581906974194e-76) }}, 
+      {{ SC_(-0.22e2), SC_(-0.1275280676782131195068359375e-1), SC_(-7.7040077413676921900756284880421464366458035190456e-67) }}, 
+      {{ SC_(-0.22e2), SC_(-0.20440109074115753173828125e-1), SC_(-1.5457577083965510182234851435618245329350191548425e-62) }}, 
+      {{ SC_(-0.22e2), SC_(-0.3429813683032989501953125e-1), SC_(-8.1221541286672274116913338029491943053437408876584e-58) }}, 
+      {{ SC_(-0.22e2), SC_(-0.96701286733150482177734375e-1), SC_(-2.3068817850771988969387713725220732278280901967308e-48) }}, 
+      {{ SC_(-0.22e2), SC_(-0.159812271595001220703125e0), SC_(-8.803944110328227745216720645521920724989731533248e-44) }}, 
+      {{ SC_(-0.22e2), SC_(-0.297095477581024169921875e0), SC_(-3.9751954583075231790412843358629172269308694575879e-38) }}, 
+      {{ SC_(-0.22e2), SC_(-0.77344071865081787109375e0), SC_(-2.1032103293890930938101953339750564368326119482839e-29) }}, 
+      {{ SC_(-0.22e2), SC_(-0.1992881298065185546875e1), SC_(-8.6622424360129128301190072784366785975187300317628e-21) }}, 
+      {{ SC_(-0.22e2), SC_(-0.3915013790130615234375e1), SC_(-1.0892133786820843749711727772520509114630158766754e-14) }}, 
+      {{ SC_(-0.22e2), SC_(-0.79858455657958984375e1), SC_(-1.9186919007554470056181379178317907302967644104051e-08) }}, 
+      {{ SC_(-0.22e2), SC_(-0.1571910858154296875e2), SC_(-0.0025597903578414996542822772651876380525001444130937) }}, 
+      {{ SC_(-0.22e2), SC_(-0.31483119964599609375e2), SC_(-0.10666700109890475981720058713755007214565326567011) }}, 
+      {{ SC_(-0.25e2), SC_(-0.553809732082299888134002685546875e-4), SC_(-3.3281158689742879080180666156521740867978413942661e-134) }}, 
+      {{ SC_(-0.25e2), SC_(-0.69304020144045352935791015625e-4), SC_(-7.2401356174042750284915044002456144769904907688185e-132) }}, 
+      {{ SC_(-0.25e2), SC_(-0.23264062474481761455535888671875e-3), SC_(-3.0338755986145100625015373546247987397196577465905e-119) }}, 
+      {{ SC_(-0.25e2), SC_(-0.4480001516640186309814453125e-3), SC_(-2.052202923085553454618326397905478856649080672558e-112) }}, 
+      {{ SC_(-0.25e2), SC_(-0.5502865533344447612762451171875e-3), SC_(-2.8554729600469981676028557851420541084963942790186e-110) }}, 
+      {{ SC_(-0.25e2), SC_(-0.19227224402129650115966796875e-2), SC_(-3.1299882112836753595393036301852267981429923924488e-97) }}, 
+      {{ SC_(-0.25e2), SC_(-0.37370622158050537109375e-2), SC_(-2.644065756660133916858116831193271968664376920546e-90) }}, 
+      {{ SC_(-0.25e2), SC_(-0.47696642577648162841796875e-2), SC_(-9.2310640964431565146231354866176953462667207480456e-88) }}, 
+      {{ SC_(-0.25e2), SC_(-0.1275280676782131195068359375e-1), SC_(-1.6446837700568964011997833280972551117278339427599e-77) }}, 
+      {{ SC_(-0.25e2), SC_(-0.20440109074115753173828125e-1), SC_(-1.3587500391895882598746751422575758526295512303884e-72) }}, 
+      {{ SC_(-0.25e2), SC_(-0.3429813683032989501953125e-1), SC_(-3.3731202155681122998271788538729692783826275793045e-67) }}, 
+      {{ SC_(-0.25e2), SC_(-0.96701286733150482177734375e-1), SC_(-2.1472189718116944745478372576927875771253482103465e-56) }}, 
+      {{ SC_(-0.25e2), SC_(-0.159812271595001220703125e0), SC_(-3.6988970592032628613277151793125432668892732716608e-51) }}, 
+      {{ SC_(-0.25e2), SC_(-0.297095477581024169921875e0), SC_(-1.0731275320372300174089462072603423679962323287136e-44) }}, 
+      {{ SC_(-0.25e2), SC_(-0.77344071865081787109375e0), SC_(-1.0025243718994360282575314511776041814069821556008e-34) }}, 
+      {{ SC_(-0.25e2), SC_(-0.1992881298065185546875e1), SC_(-7.0985786065820965982310357503133213314625189875694e-25) }}, 
+      {{ SC_(-0.25e2), SC_(-0.3915013790130615234375e1), SC_(-6.8830770092576509793284560688319437075197953464972e-18) }}, 
+      {{ SC_(-0.25e2), SC_(-0.79858455657958984375e1), SC_(-1.1102957609871580659127905177902300708298926547175e-10) }}, 
+      {{ SC_(-0.25e2), SC_(-0.1571910858154296875e2), SC_(-0.00016213997696282163490095607452554920691747266822031) }}, 
+      {{ SC_(-0.25e2), SC_(-0.31483119964599609375e2), SC_(0.098371432418424956699345249788494000389492920716489) }}, 
+      {{ SC_(-0.28e2), SC_(-0.553809732082299888134002685546875e-4), SC_(-4.0263644241164455831757467751808844878560987722426e-152) }}, 
+      {{ SC_(-0.28e2), SC_(-0.69304020144045352935791015625e-4), SC_(-1.716543747584638675334827517370945122269348595147e-149) }}, 
+      {{ SC_(-0.28e2), SC_(-0.23264062474481761455535888671875e-3), SC_(-2.7207417913860929199999874234343281878283854690374e-135) }}, 
+      {{ SC_(-0.28e2), SC_(-0.4480001516640186309814453125e-3), SC_(-1.3142793286319407144276981270404335502434285614685e-127) }}, 
+      {{ SC_(-0.28e2), SC_(-0.5502865533344447612762451171875e-3), SC_(-3.3890474248254996327151084925561729199754804280468e-125) }}, 
+      {{ SC_(-0.28e2), SC_(-0.19227224402129650115966796875e-2), SC_(-1.5846209045913117563690584777510326762478064618504e-110) }}, 
+      {{ SC_(-0.28e2), SC_(-0.37370622158050537109375e-2), SC_(-9.8287012674213475085751778447619765586738314670302e-103) }}, 
+      {{ SC_(-0.28e2), SC_(-0.47696642577648162841796875e-2), SC_(-7.1342463042761638479621914173663707222530213287231e-100) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1275280676782131195068359375e-1), SC_(-2.429588469572142240566660573755205083906899187173e-88) }}, 
+      {{ SC_(-0.28e2), SC_(-0.20440109074115753173828125e-1), SC_(-8.2646087195479884834751053044047766276233401313221e-83) }}, 
+      {{ SC_(-0.28e2), SC_(-0.3429813683032989501953125e-1), SC_(-9.6934167323599723375550530190686059345268090063894e-77) }}, 
+      {{ SC_(-0.28e2), SC_(-0.96701286733150482177734375e-1), SC_(-1.3829632821676867764296795343744777696903912067403e-64) }}, 
+      {{ SC_(-0.28e2), SC_(-0.159812271595001220703125e0), SC_(-1.0753460562158684392951992246815136406008646385717e-58) }}, 
+      {{ SC_(-0.28e2), SC_(-0.297095477581024169921875e0), SC_(-2.0045475725123002142901050443842530482907334222436e-51) }}, 
+      {{ SC_(-0.28e2), SC_(-0.77344071865081787109375e0), SC_(-3.3060340756185361079992123698919448202181277586582e-40) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1992881298065185546875e1), SC_(-4.0200700795397043427434898814337959480274381568252e-29) }}, 
+      {{ SC_(-0.28e2), SC_(-0.3915013790130615234375e1), SC_(-2.9945269706906671388876521983898372768110871060356e-21) }}, 
+      {{ SC_(-0.28e2), SC_(-0.79858455657958984375e1), SC_(-4.3461131808442452576611812536250778441599549912967e-13) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1571910858154296875e2), SC_(-6.2830436864843404153634864362763782379989319422095e-06) }}, 
+      {{ SC_(-0.28e2), SC_(-0.31483119964599609375e2), SC_(0.038367367337169753016085766030182628326676691691779) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_prime_large_data.ipp b/src/boost/libs/math/test/bessel_j_prime_large_data.ipp
new file mode 100644
index 00000000..bd6c9991
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_large_data.ipp
@@ -0,0 +1,147 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 140> bessel_j_prime_large_data = {{
+      {{ SC_(0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.10324136466803984563203229652469623629494905060386) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(-0.02593519786909798552765612804866897946479440240923) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(-0.047080257597058131629810223790028536535803474378352) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.014012844137446280573245916882913065491127263562409) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(0.054458376236420905446669301105156336564921757412998) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(-0.04631537908062274011320210316705358881961610351373) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.48982421875e3), SC_(-0.0060649563874099807709114400005618647589566000275274) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(0.012835551477049571640571660215815149921761938180526) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(-0.011072541953225443053992414821381330548274822359804) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.0040203060731606304013884921160432530955952442348141) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(0.0034139588556494873718031282767885395559257062797421) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(-0.0063619266525178140158368519421343677753579228281661) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.209469140625e5), SC_(0.0041262286461927089884446344976275231300377278386951) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.389408984375e5), SC_(0.0038200212312170664560196435362151463527309870841345) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.057462719893084318361539149065422897696564571175617) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(0.089659949266546722134954522036367247193058988843547) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(0.12633872153677020321938532744367216000151668982417) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(-0.039767591955586498741396845171957099912226432000865) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(-0.083496440278016227431907268266550165065468867450589) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(0.050140892713800893925169241151468499209389597189675) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.48982421875e3), SC_(0.016470253023231229541583713819252014340846711119823) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.62516943359375e3), SC_(-0.020868036617164333317499092590900743227059722683943) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(0.015131003921115804387763234316617494904361226471306) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.26791259765625e4), SC_(-0.00025776076911176488080270947080572768047082536025358) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.4495525390625e4), SC_(-0.0064146804589290934910910255823390516155409201653211) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.126748310546875e5), SC_(0.0052692128979686692152179587325105711420628312559325) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.209469140625e5), SC_(-0.0029750511422684484033284943126605056780047972340025) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.389408984375e5), SC_(-0.0040363956776524008824366722987028718976389893753723) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(2.2009282551860363066177321141913731260702490454568e-16) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(1.268567517734958812856154382495289912629011923375e-13) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(0.041155216713217603231035232573648092856381622367508) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(0.061376927705003855129212468972991761962182848992945) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(0.088401817468658069749511879090439967366096121211858) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(0.041500824659655892935314961717358669503680772969897) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.48982421875e3), SC_(-0.027605351279641337124315645812803124172587505416502) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(0.023369907623823060432689710507773439859903216180384) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(-0.017139447809568956103724958233112903039374240787091) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(0.013761343728747804944284675651293617827582723926078) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(0.011897239492850689700750258421867622373745126183724) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(0.00087453360740882640476003410657010979376627330391768) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.209469140625e5), SC_(-0.0020385356170116955722604854558013002335640685341094) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.389408984375e5), SC_(0.0025732209720762338651017691860113498189531192827353) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(1.0882205936621337531301878051357240543222252109118e-46) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(4.0011829386688060680708870451239959918295214971328e-41) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(1.9861251876723715790258913073673705891724091763284e-12) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(0.026803238704567074704786160892272450490650925117104) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(0.071688955465646812616034961090538049938702404253361) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(-0.02953030207585916855278297700753600030678645033374) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.48982421875e3), SC_(0.034998521345438710476427048981210570680356697292086) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.62516943359375e3), SC_(-0.023625415343510772396066436304243894988947060871843) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(-0.012213854972075787826217927896889591281633987973704) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.26791259765625e4), SC_(0.014452656764003670482350075185007132236610571799515) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.4495525390625e4), SC_(0.011880840217676056709634490156510101123348489247046) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.126748310546875e5), SC_(-0.00095009037575978097221300314119557528457640310323889) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.209469140625e5), SC_(-0.00044802889763068082118980748303517763314743735661281) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.389408984375e5), SC_(0.0034347666965478536109693620917840161523232847463224) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(1.8742291056685367486604835067483670117700044247127e-63) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(1.4282081159646625696876562768953687202787247683419e-56) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(1.7167327540138663434373759647457727172926767815842e-20) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(0.00011313949904159594988405034687041720129094704143894) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.023413123848599003224460315503587068133802297999475) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(0.030671536528689248199571601276457879053134513618087) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.48982421875e3), SC_(0.028738897491231363831635227038760428260445144664004) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(-0.0010093419342560062527810763369997012568981525934777) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(-0.013719590480575821360869872767879279517259291740196) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.0095296031487014712579566785405350334423544985895886) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.0057061748346359058350002402346872461124279845559405) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(-0.0054003673139833103975219612528577819134697347524516) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.209469140625e5), SC_(0.004795382262258735983589266249514105404812153080133) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.389408984375e5), SC_(-0.00024582533629175284743870583752200842392083317439995) }},
+      {{ SC_(-0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.075010240400860322613588322385784928118364880736695) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(0.17292120210126263561415023262372069502366047591587) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(0.1300230135708545251451284632662913618590497005281) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.065049311803174387754506604162390029198372383266164) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(-0.092830783074932671605437743276082693692863587333459) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(0.045985329695857270068873731671899604557425267363133) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.48982421875e3), SC_(0.029986669098159366984601159676748450668424644451746) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(-0.030045984815826954584409983717226929463292637207141) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(0.019284132813714522523037501521681463406050537069753) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.0080504538932434871427480062765520293263706838952802) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(-0.010628632050827181522697574008666509306629190691784) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(0.0021019987551443021088489912211629336815395795677434) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.209469140625e5), SC_(-0.00017862326343335141326573661614068444901895674829948) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.389408984375e5), SC_(-0.0035874118948545397421834819042679544717287334585026) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.085262034198347563263534433024129293612834560767137) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(-0.041893287944850898762914151037199350780089556519602) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(-0.13840522823984569236571362285136981294601880444501) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(0.06326858680033948924267215787799379348173705577273) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(0.091615612798265726399791491917396789588660321158487) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(-0.049251301178573950940827837522525581224323805090589) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.48982421875e3), SC_(-0.024248736158355953777484052994943618355691120575526) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.62516943359375e3), SC_(0.026432004312796279515226168665514805947400354314947) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(-0.017817486075726423885421685964689132728689188133227) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.26791259765625e4), SC_(0.0042605971396147240047442031727720954466985706216351) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.4495525390625e4), SC_(0.0088024530022866310316562284067475973211940610402256) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.126748310546875e5), SC_(-0.0038539827573016516124883159655524837754568464110856) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.209469140625e5), SC_(0.0016644608915323727662114862649150576045954366002272) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.389408984375e5), SC_(0.0039587905883269263929263562363636527497358688466854) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(-812641609167090.25643280771442754871632055541314833) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(-884852329238.54500126975482320664733117521288415775) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(-0.073568862465630781217719784502000848867410243108955) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(-0.072740113388965194704013050733085916130032490364337) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(-0.011570388777069726809133239807825326725652565241199) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(0.02897032755874979635831525730554684915565177531416) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.48982421875e3), SC_(0.0224909807920612239400031810520859918909229844082) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(-0.021157709835773537825215605681736856963628404676255) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(0.0089322479384135777485760676963754763166016418270993) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(0.0072598836667662590078603550886094415409693575729519) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(2.0341896831741316511607269818484994376983865246926e-05) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(0.0070511994537966677583454970337743924020998871474901) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.209469140625e5), SC_(-0.0051677166686131394281319583004701439612246720092222) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.389408984375e5), SC_(-0.0030587347103217577403313023977419490435264823911065) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(-2490598589530532918901026917005018213179419706.6979) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(-4306457414448048792057782801355896791103.1735406647) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(-6659159035.9177809840192869360262230712725099102536) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(-0.053893470599785658911598519210101221005956728731929) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(-0.047203056970663100651101522881499140175465324876385) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(0.049492577025895209566271144439318016408840480455371) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.48982421875e3), SC_(-0.016104474272828827391828092345913186310788018340556) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.62516943359375e3), SC_(-0.0013604482241225644983243058431224219484242945740896) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(0.019507233002347143580436951008831698338694979444064) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.26791259765625e4), SC_(-0.0050982749418564724446058338132936532772165932995438) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.4495525390625e4), SC_(-0.0070671875681923095500609735352864351792318784880567) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.126748310546875e5), SC_(0.0060137507828957318886109570818828783017563089621599) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.209469140625e5), SC_(-0.0039447819238648396445588000685008421672396759074184) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.389408984375e5), SC_(-0.0038342070305193476943523937859241248143902150846196) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(-8.9961838527297942274719779804045778863286089313031e+61) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(-7.5167877096039971015777758344454965524761227820002e+54) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(-506952799834887823.85782440141966242525150761499231) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(-13.257231766335022838646782567251259287955614056549) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.0053955431520634703099897474186201412616152929858934) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(0.043218023874828779689533995082260620778553365126069) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.48982421875e3), SC_(0.03481430835746538985346981750017950705669748843079) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(-0.013293663607688604968580527846149022126938760163712) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(-0.018032564444017678971442941171935185432231135240593) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.0040680527446346280495913667175615878400455056205867) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.0011955997706384835733521148536147887229015063929401) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(-0.0067601510171817445966096633306319288060682821068724) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.209469140625e5), SC_(0.0054755679536842675831712821454104474653176771646281) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.389408984375e5), SC_(0.0013432302588697356293697664384457952182799873797) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_k_data.ipp b/src/boost/libs/math/test/bessel_k_data.ipp
new file mode 100644
index 00000000..927e6640
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_data.ipp
@@ -0,0 +1,272 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 263> bessel_k_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(0.6579017807810652710369517871806355927214e29) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(0.2395518238062557960566710371847643552469e-8) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1252804412841796875e3), SC_(0.3069043255911758700865294859650240330974e-44) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.25554705810546875e3), SC_(0.2303430936664631154413247069375132759954e-106) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.503011474609375e3), SC_(0.1203148508747254149682895744594491240807e-216) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.10074598388671875e4), SC_(0.2865368119939400701179862849573503322931e-437) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1185395751953125e4), SC_(0.8632633219300624004437758135158135952472e-515) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.353451806640625e4), SC_(0.5013665804582944405266048580134316878986e-1536) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.80715478515625e4), SC_(0.7765547631230743133384730763696548377855e-3507) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.639546878366615050472401588575857541732e-7050)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5074028894875745794984647078151040612894e-13928)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2862328185162412476566225413964872968853e-15796)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(0.1194046640827563151857444163209777353211e25) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(0.5818966684329205041972653154218173748165e-11) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1252804412841796875e3), SC_(0.9892143938422535628101195141323126645363e-46) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.25554705810546875e3), SC_(0.3972603961730133195379956336197334288476e-107) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.503011474609375e3), SC_(0.4874624060193139320406839502988832481089e-217) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.10074598388671875e4), SC_(0.1822212069789909176095875838528811873338e-437) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1185395751953125e4), SC_(0.5875055967970574458131259176159286617499e-515) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.353451806640625e4), SC_(0.4406079158432466047722722836894011978239e-1536) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.80715478515625e4), SC_(0.7338395057162425548486505792810413989371e-3507) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6218012346099611746045494400088987852165e-7050)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5002276251033884106325883264873018499132e-13928)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2826609186886966995318007844162294906315e-15796)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(0.5561803915497248563365929946842781443078e23) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(0.1094524924593545154904194423989731358977e-11) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1252804412841796875e3), SC_(0.3839300658689373815830761148374331937154e-46) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.25554705810546875e3), SC_(0.2451728941031062427272665484306743376086e-107) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.503011474609375e3), SC_(0.3804541047790449891831659262615119819112e-217) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.10074598388671875e4), SC_(0.1609485041764832205733383613676089003386e-437) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1185395751953125e4), SC_(0.5286617461619307606407976695028744909355e-515) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.353451806640625e4), SC_(0.4252727041870810007272294050962600690759e-1536) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.80715478515625e4), SC_(0.7225421446583687935214716001980501582795e-3507) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.617021607511078284203431245617539588877e-7050)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4982778020141303245214047263053056397026e-13928)) }}, 
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+      {{ SC_(0.62944732666015625e2), SC_(0.80715478515625e4), SC_(0.6644545217571422485174738283493212729231e-3507) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5918304376897943519364581212285760132986e-7050)) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4878756153781530982084716360839760780792e-13928)) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2764977329940568590368972098475304997089e-15796)) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.24750102996826171875e2), SC_(0.1757647753992712633411465211149383976276e19) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.637722015380859375e2), SC_(0.4154340476824965842042958242696691352995e-14) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1252804412841796875e3), SC_(0.1670237943823919787558085338623229345138e-47) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.25554705810546875e3), SC_(0.498292972015574678613637170399151819008e-108) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.503011474609375e3), SC_(0.16798665586593853126389607640525271824e-217) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.10074598388671875e4), SC_(0.1068843553462207539802876852120126159371e-437) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1185395751953125e4), SC_(0.3732889925210086644082342106707283321478e-515) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.353451806640625e4), SC_(0.3783910172802151361859098458404374020052e-1536) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.80715478515625e4), SC_(0.6865103783696347817927096681584785305085e-3507) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6015210836405717718928078795712448330673e-7050)) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4919025754419690182073132779957366712633e-13928)) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2785090394166165242891428442540272849689e-15796)) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.24750102996826171875e2), SC_(0.2324073088339678621147409396324732999963e30) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.637722015380859375e2), SC_(0.4837827210750428522126700812080085686173e-8) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1252804412841796875e3), SC_(0.4594264686055687077550409988148757821966e-44) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.25554705810546875e3), SC_(0.2833330148811881793898662192076717416668e-106) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.503011474609375e3), SC_(0.1338396381867003597313054226031862608662e-216) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.10074598388671875e4), SC_(0.3022491925648536051406776884375450576521e-437) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1185395751953125e4), SC_(0.9033480738287476948124079020084554369235e-515) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.353451806640625e4), SC_(0.509064318997321343171662382751489914207e-1536) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.80715478515625e4), SC_(0.7817541885759932491771910816986777412753e-3507) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.641673078077478782785017874716473833835e-7050)) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5082559642711766692197944021073471381169e-13928)) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2866570865715865919392615432142045181677e-15796)) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.637722015380859375e2), SC_(0.2433991751428157267576270898319088542731e-7) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1252804412841796875e3), SC_(0.1163543281808651892214225743779071494397e-43) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.25554705810546875e3), SC_(0.4566929184599502585539208159658295553088e-106) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.503011474609375e3), SC_(0.1711152047141484938876244759615327721674e-216) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.10074598388671875e4), SC_(0.3418546552853844882451811321181419188818e-437) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1185395751953125e4), SC_(0.1003047492936821319442367382054853866129e-514) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.353451806640625e4), SC_(0.5272736092096344411527859246178125271135e-1536) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.80715478515625e4), SC_(0.7938803272826403099037784228659554176949e-3507) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6466043665396298360019348958169487245916e-7050)) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5102291405695378889093263053607260918263e-13928)) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2876381032836693648306723630952201558894e-15796)) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.637722015380859375e2), SC_(0.4529077292464217597597948585815203283964e-3) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1252804412841796875e3), SC_(0.350642591754902750250314160055299520222e-41) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.25554705810546875e3), SC_(0.8700616972854344814927244483121769950875e-105) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.503011474609375e3), SC_(0.7816646797077293163816105964438544637339e-216) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.10074598388671875e4), SC_(0.7321805895040821980280295179421030138686e-437) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1185395751953125e4), SC_(0.1916743519112958612938166592106183128909e-514) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.353451806640625e4), SC_(0.6553297924375392696631080233904592409428e-1536) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.80715478515625e4), SC_(0.8731920655533864492797505716863887075778e-3507) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6779648490610206356859880361410662474219e-7050)) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5226073790697475866503341992543667357366e-13928)) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2937821135047504313538653046960400698576e-15796)) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.637722015380859375e2), SC_(0.2514159824708407029519182952938261461039e-2) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1252804412841796875e3), SC_(0.9571910315928452948496436653664936091399e-41) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.25554705810546875e3), SC_(0.1464962376552961548773813405449012101125e-104) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.503011474609375e3), SC_(0.102289622788229900557470609045948505245e-215) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.10074598388671875e4), SC_(0.8379350403930188404501970121630099171596e-437) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1185395751953125e4), SC_(0.2149730062284109979164130574050367445585e-514) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.353451806640625e4), SC_(0.6810640416069074949832134642840700061677e-1536) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.80715478515625e4), SC_(0.8880475416546418613925474382495752636196e-3507) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6836772391670514269657537156841197891453e-7050)) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5248314285242353145777820274280636896797e-13928)) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2948841983584072578394887812793739973464e-15796)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(0.4848538332206214872114685461457208526682e-2) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1252804412841796875e3), SC_(0.1407357631531569552447817697356939114967e-40) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.25554705810546875e3), SC_(0.1789644517979726575647466756527040582949e-104) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.503011474609375e3), SC_(0.1134297740334902791076613679075967354327e-215) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.10074598388671875e4), SC_(0.8825347981316688657305249314794392766025e-437) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1185395751953125e4), SC_(0.2246641303550294973758291904185796545436e-514) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.353451806640625e4), SC_(0.6912227290322635031334137954308461354241e-1536) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.80715478515625e4), SC_(0.893824833574208599253272536219631346374e-3507) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6858858035128739755837136827347333728619e-7050)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5256888449089264657997112108384303458607e-13928)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2953089268910496653492909777451085521704e-15796)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.637722015380859375e2), SC_(0.6385107666034147877046020721409920794724e-2) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1252804412841796875e3), SC_(0.1654344599410448916584423239120073465608e-40) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.25554705810546875e3), SC_(0.1946478889917254423807361997687268337342e-104) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.503011474609375e3), SC_(0.1184592506913226623646749833739806823329e-215) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.10074598388671875e4), SC_(0.901953355688788108549058088701948794206e-437) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1185395751953125e4), SC_(0.2288605393501964892215062020117435573162e-514) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.353451806640625e4), SC_(0.6955313792142442148137724010444647419301e-1536) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.80715478515625e4), SC_(0.8962607682372740535877231935882633914515e-3507) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6868148706801060740839033435132304040165e-7050)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.526049123050695967902464958981106803334e-13928)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.295487369292694824273684043549849890813e-15796)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(0.1990227834888151454373307286008775674612e1) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1252804412841796875e3), SC_(0.4894424029224796393682491693146694616972e-39) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.25554705810546875e3), SC_(0.1136170375675789312265821779116321329958e-103) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.503011474609375e3), SC_(0.2948452830082071500214646231076147090724e-215) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.10074598388671875e4), SC_(0.1425279255280814495079497699158457698546e-436) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1185395751953125e4), SC_(0.3377080491094056336148164895290399079231e-514) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.353451806640625e4), SC_(0.7926042309665472483589245698365986058321e-1536) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.80715478515625e4), SC_(0.9490411542227230445519501560068255751126e-3507) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.706642352671901713112325219552778166628e-7050)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5336813326314223870941968492332354768707e-13928)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2992641523816122158711374925214774085881e-15796)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(0.4765079470941391660151554471287672030993e1) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1252804412841796875e3), SC_(0.8211475782164329588746473557436288828796e-39) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.25554705810546875e3), SC_(0.1488689678947819908654123225405437300755e-103) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.503011474609375e3), SC_(0.3390847523037554808868465852319867472935e-215) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.10074598388671875e4), SC_(0.1528876974454391292968555182897209684705e-436) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1185395751953125e4), SC_(0.3584703400837929375694495921804618033184e-514) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.353451806640625e4), SC_(0.8086451033245101399967163404205099861285e-1536) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.80715478515625e4), SC_(0.9574060247932829286311891259694070669118e-3507) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.7097333247638353953239893327006028051669e-7050)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5348615672629262632704311334792898428533e-13928)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.299847616599843593158654409241939580736e-15796)) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_k_int_data.ipp b/src/boost/libs/math/test/bessel_k_int_data.ipp
new file mode 100644
index 00000000..1e555a1e
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_int_data.ipp
@@ -0,0 +1,489 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 481> bessel_k_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.6451475930592273598846015135698055330078e1) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.6227212142001190939808570915268231760654e1) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.5016294646816679195434588077252051358532e1) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.4361188048817122598222684820956136285199e1) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.4155666670689396106825982497779831275659e1) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.2907904688572973437220285912023264651352e1) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.2251245456228397094716239150833833783688e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.2013151217079277922721039040650374928823e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.1097070466164341232251948278975330916289e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.7111296101768869724219672824880816154124e0) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.3668587200933656003255821289886727335553e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.3115344887529544812621292520040581803004e-1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(0.325805941096065330441380826151925706171e-2) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.2983575249299677934623174911041338567643e-4) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(0.4469793219985647671692938809730755521561e-11) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.3154890666025357981487513910165521100024e-28) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(0.4365986153732310357450484955539750321993e-55) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(0.8155212353606568575514680314443449984517e-112) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(0.1959094651632950581341362431434333187503e-219) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.1153834312978712202246739136605238163053e-438) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(0.5626632279469502957817365401058836530616e-516) }}, 
+      {{ SC_(0.0), SC_(0.353451806640625e4), SC_(0.2005335541692877275070776095045572408221e-1536) }}, 
+      {{ SC_(0.0), SC_(0.80715478515625e4), SC_(0.5198552672839385593247348234265735246569e-3507) }}, 
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+      {{ SC_(0.82e2), SC_(0.1252804412841796875e3), SC_(0.7679246824874028855732984729868233341459e-44) }}, 
+      {{ SC_(0.82e2), SC_(0.25554705810546875e3), SC_(0.3688731597877386657104803215785579078246e-106) }}, 
+      {{ SC_(0.82e2), SC_(0.503011474609375e3), SC_(0.1533025263190811001855129953690241988217e-216) }}, 
+      {{ SC_(0.82e2), SC_(0.10074598388671875e4), SC_(0.3235306253457630283328305165089298636569e-437) }}, 
+      {{ SC_(0.82e2), SC_(0.1185395751953125e4), SC_(0.95714803641107768131549467236444623187e-515) }}, 
+      {{ SC_(0.82e2), SC_(0.353451806640625e4), SC_(0.5190472642970221025902053308995793605448e-1536) }}, 
+      {{ SC_(0.82e2), SC_(0.80715478515625e4), SC_(0.7884317762303207970574981219562166816935e-3507) }}, 
+      {{ SC_(0.82e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6443933438399520983914837847908697932304e-7050)) }}, 
+      {{ SC_(0.82e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5093453575580057440764704712908558993787e-13928)) }}, 
+      {{ SC_(0.82e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2871987628027187822900488209818201448873e-15796)) }}, 
+      {{ SC_(0.85e2), SC_(0.637722015380859375e2), SC_(0.3022386458998828808890958658069437125556e-6) }}, 
+      {{ SC_(0.85e2), SC_(0.1252804412841796875e3), SC_(0.4980051147455231361906632503761840466974e-43) }}, 
+      {{ SC_(0.85e2), SC_(0.25554705810546875e3), SC_(0.9651821409596944246819658023453058852567e-106) }}, 
+      {{ SC_(0.85e2), SC_(0.503011474609375e3), SC_(0.2515578850121789395121409417066593310199e-216) }}, 
+      {{ SC_(0.85e2), SC_(0.10074598388671875e4), SC_(0.4146905619633520795687290702797802077516e-437) }}, 
+      {{ SC_(0.85e2), SC_(0.1185395751953125e4), SC_(0.1182063426653318577358697854155415902088e-514) }}, 
+      {{ SC_(0.85e2), SC_(0.353451806640625e4), SC_(0.5571590796064834896786127413958385484532e-1536) }}, 
+      {{ SC_(0.85e2), SC_(0.80715478515625e4), SC_(0.8132823498430510533405211338608503625054e-3507) }}, 
+      {{ SC_(0.85e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6544164172431353956246831844735505709742e-7050)) }}, 
+      {{ SC_(0.85e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5133398576643193156132512241768029727037e-13928)) }}, 
+      {{ SC_(0.85e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2891837680670311977658996166762631480513e-15796)) }}, 
+      {{ SC_(0.88e2), SC_(0.637722015380859375e2), SC_(0.8408884745537773166223428345981835442608e-5) }}, 
+      {{ SC_(0.88e2), SC_(0.1252804412841796875e3), SC_(0.3427163660301187722220573043617848517407e-42) }}, 
+      {{ SC_(0.88e2), SC_(0.25554705810546875e3), SC_(0.2611158848229128475717621937789423053511e-105) }}, 
+      {{ SC_(0.88e2), SC_(0.503011474609375e3), SC_(0.4201277178177965425183058418537562017403e-216) }}, 
+      {{ SC_(0.88e2), SC_(0.10074598388671875e4), SC_(0.5362866581825708379523263981965145477407e-437) }}, 
+      {{ SC_(0.88e2), SC_(0.1185395751953125e4), SC_(0.1470923110114575284128795225669870357461e-514) }}, 
+      {{ SC_(0.88e2), SC_(0.353451806640625e4), SC_(0.5995934685429881061512313674772217021537e-1536) }}, 
+      {{ SC_(0.88e2), SC_(0.80715478515625e4), SC_(0.839852015080128730529999326058629197173e-3507) }}, 
+      {{ SC_(0.88e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.664964032329384431282211022073156371507e-7050)) }}, 
+      {{ SC_(0.88e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5175109105174760942763088943597648303892e-13928)) }}, 
+      {{ SC_(0.88e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2912545597593180629046239733714231938561e-15796)) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_k_prime_data.ipp b/src/boost/libs/math/test/bessel_k_prime_data.ipp
new file mode 100644
index 00000000..c5fbf666
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_prime_data.ipp
@@ -0,0 +1,533 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 526> bessel_k_prime_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(-223964241238127376907362933849.77811883621356945072) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(-3.8648041779027959239388782349048349624084267353648e-09) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1252804412841796875e3), SC_(-3.6565779603591655562583295314803218468260642362413e-45) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.25554705810546875e3), SC_(-2.4190909126777442847637956215785750284058654395426e-107) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.503011474609375e3), SC_(-1.219620886701684973558478574167401783825245103538e-217) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.10074598388671875e4), SC_(-2.8759116222738175323191695250228885450735227319625e-438) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1185395751953125e4), SC_(-8.656135863990512823611279606761037327763769429165e-516) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.353451806640625e4), SC_(-5.0156745400827303020875916527662318545254904167654e-1537) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.80715478515625e4), SC_(-7.7664147329568575919379482774926088376140985600006e-3508) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.3957444698529951994589166738566522004887281442523e-7051)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0741239974147423625304060686424101773477735801947e-13929)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8623745476551145305348906256496397306448089397871e-15797)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(-3794454981121002761198744.9826140208081979296819968) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(-8.9747091237141513784347353621979484900792428922109e-12) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1252804412841796875e3), SC_(-1.1542368579655756226858659851675383404078664655503e-46) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.25554705810546875e3), SC_(-4.1455838380761457914925022602955935390233578702302e-108) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.503011474609375e3), SC_(-4.9326837255106385876980488126276641132040755503017e-218) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.10074598388671875e4), SC_(-1.8281004439703352079910815343682319706696940035428e-438) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1185395751953125e4), SC_(-5.8891472101462070923686253349770419831103413999691e-516) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.353451806640625e4), SC_(-4.4076834751264207754504577197432798341964297761109e-1537) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.80715478515625e4), SC_(-7.3391630299178173734443377525918932290713974948573e-3508) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.2182696019406168576500601010874825439179538162594e-7051)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0023677870089337028208152148428288392719301653778e-13929)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8266539948347919351166378742384267515954784710424e-15797)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(-173130896033510584513668.61333176231095893188765736) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(-1.6661597801597259037807387557654501633956196709127e-12) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1252804412841796875e3), SC_(-4.453514117992647398717300213848578053804423885993e-47) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.25554705810546875e3), SC_(-2.5539832872656254981901074161597258860814633052973e-108) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.503011474609375e3), SC_(-3.8479957755790590299812722344368637764046588759177e-218) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.10074598388671875e4), SC_(-1.6144881335280453027771285738245939972462035053573e-438) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1185395751953125e4), SC_(-5.2988274712363455506775334512381862742446695384697e-516) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.353451806640625e4), SC_(-4.2542329100177561901550473597877558324298118410738e-1537) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.80715478515625e4), SC_(-7.226163709518519127052322977989779630523951878905e-3508) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.1704684198809868239616753576099614792266492248368e-7051)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.9828685924566586624316802472111294541905099204842e-13929)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8169367703601964783181199163061646744819562747861e-15797)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(-1829426347716924.1227313529873561419974614447058892) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(-9.1782948313211819423448111954220793845613677248821e-17) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1252804412841796875e3), SC_(-1.8554904641776856052632062680604401721166694972761e-49) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.25554705810546875e3), SC_(-1.5958918016319967676671126677638853739233424616111e-109) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.503011474609375e3), SC_(-9.3067997773126529953008318348539938326970709231603e-219) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.10074598388671875e4), SC_(-7.9379964640920900964825870885447624518568666914701e-439) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1185395751953125e4), SC_(-2.8980227236708651594211454215936337150886954450001e-516) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.353451806640625e4), SC_(-3.4746281631433370686786072309756667233289020543629e-1537) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.80715478515625e4), SC_(-6.6132054045070196759039061368519891414462171632671e-3508) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.9043602406958926091296458228963784842968100907072e-7051)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.8729259482914066589308177561682630747529311120642e-13929)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.7620632063085934867173943429793291237843713829425e-15797)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(-49396409297.49064758246889504568794217487331599038) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(-4.0142031234786326238595299670386255343146834891239e-19) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1252804412841796875e3), SC_(-9.3846429799889887766852348985434531848730286010065e-51) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.25554705810546875e3), SC_(-3.5650479233582400513141896503559253889643843272817e-110) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.503011474609375e3), SC_(-4.3276242223807114945318504356531651005611617538824e-219) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.10074598388671875e4), SC_(-5.4133680975277376537574669543559816153395454892444e-439) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1185395751953125e4), SC_(-2.0931512445244537587237937804978964980530155782611e-516) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.353451806640625e4), SC_(-3.1154082169824800589363562906159483306517530697762e-1537) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.80715478515625e4), SC_(-6.3046269405011200377164065990245814289483059931174e-3508) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.7656977629060996677137391746740699826791877142929e-7051)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.8146671143615768740572164853371762978433764136753e-13929)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.7329263839992471059696942162858928888180351639778e-15797)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(-271482002899936712799296.6051523280271997811249956) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(-2554.0337451524139436931017755925178595287992211378) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(-9.7751694689029171430775793718696451123988070641939e-23) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1252804412841796875e3), SC_(-1.0516107763372982964330960211638511205830507828004e-52) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.25554705810546875e3), SC_(-3.7927860534214524747307158177418493572114982880834e-111) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.503011474609375e3), SC_(-1.3803383944937296055133828171313833086259503020534e-219) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.10074598388671875e4), SC_(-3.0584450414521647331130316852714332727782272065109e-439) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1185395751953125e4), SC_(-1.2883873251968340441370687908660178577311857550059e-516) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.353451806640625e4), SC_(-2.6474863850637752285573060385342961915402343053879e-1537) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.80715478515625e4), SC_(-5.870969276329755035121868562159453201581771218073e-3508) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.5649290688654891244741336984344607680958490974081e-7051)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.7290739510894349480191824314676000225472499448942e-13929)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.6900430631658865044473565242390914709237255551255e-15797)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(-37636469299900483022369314553.072352004705028845999) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.95070552825927734375e1), SC_(-630089233072712854.84092478812170577687020399042427) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.24750102996826171875e2), SC_(-1.1835384886710798109209593731460306023918251453889) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.637722015380859375e2), SC_(-2.5723195002032899632527205292031685531995825614116e-24) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1252804412841796875e3), SC_(-1.5254420738891017336405940800600562074273985556971e-53) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.25554705810546875e3), SC_(-1.4559879341701341431357418580247625285353145897093e-111) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.503011474609375e3), SC_(-8.4773238379194752151585092142913643576508037528734e-220) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.10074598388671875e4), SC_(-2.3974554262897385488654488656680991812226311278267e-439) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1185395751953125e4), SC_(-1.0475378640932329506302063797864154189298544329546e-516) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.353451806640625e4), SC_(-2.4699839511769809026546484165085136668572898601802e-1537) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.80715478515625e4), SC_(-5.6952465099118950239800109933328230707743244892587e-3508) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.4814594363694066448333278657896376072867354638352e-7051)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.6930403971681920345835419144543167035203586378855e-13929)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.6719623870133770904648159382814374770999564883442e-15797)) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.7444499991834163665771484375e-2), SC_(-3427155579533461926560347914576.2659509328241619041) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1433600485324859619140625e-1), SC_(-3818689510260838519163904833.6952420148388143059669) }}, 
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+      {{ SC_(-0.8115838623046875e2), SC_(0.25554705810546875e3), SC_(-2.9778182406450569657171579622197633758356410990054e-107) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.503011474609375e3), SC_(-1.3570012410413562192422807359750241525931645449109e-217) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.10074598388671875e4), SC_(-3.0337733261419032377221304195526698290544618189646e-438) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1185395751953125e4), SC_(-9.0584199132792510325959617058561761869968221305727e-516) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.353451806640625e4), SC_(-5.0927047047889256877485194362179209193435584919404e-1537) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.80715478515625e4), SC_(-7.8184212557408450646831842347388626077691523713969e-3508) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.4170086957191749822776908115859209676213840978517e-7051)) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0826551713967132062394440377037941792655959855063e-13929)) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8666174136737838442341020573322861385171298444454e-15797)) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.637722015380859375e2), SC_(-3.9922836225967407159337431526018164398258675674153e-08) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1252804412841796875e3), SC_(-1.3973040826896417386374504886139428368125505562955e-44) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.25554705810546875e3), SC_(-4.8080702496870118568344418261522460218382087799518e-107) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.503011474609375e3), SC_(-1.735766313757924593296347300682641994132950716854e-217) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.10074598388671875e4), SC_(-3.4317229224364358578667133809160256150760239372683e-438) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1185395751953125e4), SC_(-1.0059050639303791446042609523064399327854494633994e-515) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.353451806640625e4), SC_(-5.2749237598198364066251180455661084543160354803286e-1537) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.80715478515625e4), SC_(-7.9397114208825646332100291003350448618992737400947e-3508) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.4663267661753335706506210073515689692432301370585e-7051)) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.1023879217726109450620115433577194983362528138656e-13929)) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8764280102985703123126780438959047264409493344192e-15797)) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.637722015380859375e2), SC_(-0.00079326328960639682455560026385982192944109194985948) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1252804412841796875e3), SC_(-4.3512244779798717227112269652119524511161519994708e-42) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.25554705810546875e3), SC_(-9.2566270427150370548850056090399350078970616000706e-106) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.503011474609375e3), SC_(-7.9524393648761788862733926406890798845137948779617e-217) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.10074598388671875e4), SC_(-7.3555457603498868131715315786831277464012560184749e-438) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1185395751953125e4), SC_(-1.9232489142496594087196115792224269913639203385902e-515) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.353451806640625e4), SC_(-6.5564198742447663877461815444804142729014762324551e-1537) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.80715478515625e4), SC_(-8.7330225341874204353608853947172411314415673392366e-3508) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.7799651056836389641030667844508599102560821442743e-7051)) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2261765548607648124919660044239717258336818015426e-13929)) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9378708232494017304385880130385296867383510152385e-15797)) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.637722015380859375e2), SC_(-0.0044512613861551140798036411347850290414244047741939) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1252804412841796875e3), SC_(-1.1944657129581104600131320008417455508338175128383e-41) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.25554705810546875e3), SC_(-1.561444368870746681889935515668213889838395185459e-105) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.503011474609375e3), SC_(-1.0412066886011549603808152292805394847886667334919e-216) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.10074598388671875e4), SC_(-8.4190820312119011318825776224590158777234250198776e-438) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1185395751953125e4), SC_(-2.1572337418487191967782947963264608762580406428955e-515) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.353451806640625e4), SC_(-6.8139591545391258428643002564400907085598183636322e-1537) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.80715478515625e4), SC_(-8.8816145997478941460493063996297808582382258819881e-3508) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.8370952089280804612249189744726511272755470401056e-7051)) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2484181817780779154875877864045432835400067558302e-13929)) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9488921617849679064063269458199255934826615007963e-15797)) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(-0.0086193499264408384061544921656171038123785912461195) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1252804412841796875e3), SC_(-1.7599720670846666046250588911522373229642596323551e-41) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.25554705810546875e3), SC_(-1.9088531900333186769060488626063146154344533534065e-105) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.503011474609375e3), SC_(-1.15483265133524546539038776396176049148957187365e-216) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.10074598388671875e4), SC_(-8.8676471191380742036934522321506604712730216617774e-438) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1185395751953125e4), SC_(-2.2545666176316840092866897706851243814725216428028e-515) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.353451806640625e4), SC_(-6.9156244746410304043798713595842249852020302261852e-1537) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.80715478515625e4), SC_(-8.9394021100953091263153329299187451630582479509392e-3508) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.8591832582144387646368065885889101010022659132943e-7051)) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2569927829632576125083458239049157355980847188863e-13929)) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9531396362529126716854500487074476649605067278358e-15797)) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.637722015380859375e2), SC_(-0.01137030065815612960370831087647104379911521526917) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1252804412841796875e3), SC_(-2.0706888972387411205898048220596042570054762245014e-41) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.25554705810546875e3), SC_(-2.076747188203903305949196338713305075811149238145e-105) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.503011474609375e3), SC_(-1.206138863501423091012055647373090290373057026604e-216) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.10074598388671875e4), SC_(-9.0629576101423788912524341010755944080482662765986e-438) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1185395751953125e4), SC_(-2.2967143819366169401505634677120170066995690649849e-515) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.353451806640625e4), SC_(-6.9587443759167291523051646597944050009369317166297e-1537) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.80715478515625e4), SC_(-8.963767622812737147576550718407855129766122180056e-3508) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.8684749432461237452482072444067606374284784899753e-7051)) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2605957482764622649044864083253881631348210278576e-13929)) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9549241397840480921229968726823503335972147694438e-15797)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(-3.6686816477282175741062854887392827202537802300625) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1252804412841796875e3), SC_(-6.2399832007271194286193178414362361578969127220333e-40) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.25554705810546875e3), SC_(-1.2197055850790942102833053161804296244667372399762e-104) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.503011474609375e3), SC_(-3.0073585223276919910623824690988486916059485468597e-216) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.10074598388671875e4), SC_(-1.4327862387775261953192982503772965587341390132943e-437) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1185395751953125e4), SC_(-3.3901517048219300614034883286039472371133965744397e-515) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.353451806640625e4), SC_(-7.9302445478748911451073379421472555993851487974647e-1537) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.80715478515625e4), SC_(-9.4917070630321412669855703990840487507093560375947e-3508) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-7.0667715724747080745349594062644690011902150106069e-7051)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.3369217577635370104041886049119027025431819578313e-13929)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9926936605456938905177281393602465206014795130064e-15797)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(-8.8285524650129256933638180698917549810701836035732) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1252804412841796875e3), SC_(-1.049792135876353865511740651480185410819111323384e-39) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.25554705810546875e3), SC_(-1.5996444827452915890990402200237025952688558810316e-104) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.503011474609375e3), SC_(-3.4595213350656230785971872762202885234300143856178e-216) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.10074598388671875e4), SC_(-1.5370356988755426778767692613876015040381491797487e-437) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1185395751953125e4), SC_(-3.5987581690622945659656802112451101694463306035307e-515) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.353451806640625e4), SC_(-8.0907841383527165661715057045677964687892142603151e-1537) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.80715478515625e4), SC_(-9.5753775952636351949636155792849650813468738905751e-3508) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-7.0976847244501301711496758361494292049081737362601e-7051)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.3487247123357975974272081432102149067206440666883e-13929)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9985285649643779417565006201095646024682201998538e-15797)) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_k_prime_int_data.ipp b/src/boost/libs/math/test/bessel_k_prime_int_data.ipp
new file mode 100644
index 00000000..4d326dc0
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_prime_int_data.ipp
@@ -0,0 +1,968 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 962> bessel_k_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-564.26705890503944938767579913547914444248945617307) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-450.90433365191537768820321413950713211111795723233) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(-134.30682303430738211464350075539051302297649874874) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(-69.719596604788772780420388449105221075106674775932) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(-56.747605077911761494847928942485415394515672427591) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(-16.148209870467353928313803586039211298833357390533) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(-8.1979983109850254011244484732359277130188220912139) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(-6.3606452725304555965590517972251012830722624594999) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(-2.1321960830174616313341672168256801931362259279233) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(-1.1565762805442431109050120852982891923808991774078) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(-0.51180421118150678407111850473802395150979488737911) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(-0.035870846073100222567775139460938254201357238403855) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.0035634021394994144459276120940547504311283743308124) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(-3.1367378117720984522644793879499313096092001772086e-05) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-4.5592142983856237448404334253399091132773842963972e-12) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(-3.1795308079040644509894337163510006422875797374616e-29) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-4.3833765076195517337404709329004854177992525949973e-56) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(-8.171153185119733731907215700781324087313196273862e-113) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(-1.9610410514640769870616878418175098066922148164034e-220) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(-1.1544068163329804551680311089977817430745026305692e-439) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(-5.6290050931956485070753465854339963243045345223924e-517) }}, 
+      {{ SC_(0.0), SC_(0.353451806640625e4), SC_(-2.0056192004130679476859275516857950580751539000044e-1537) }}, 
+      {{ SC_(0.0), SC_(0.80715478515625e4), SC_(-5.1988746923438006571822452608036728315317688037626e-3508) }}, 
+      {{ SC_(0.0), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2384200464655333806473812934794542968045682388646e-7051)) }}, 
+      {{ SC_(0.0), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.5865488666668272302158948598400493277484898536121e-13929)) }}, 
+      {{ SC_(0.0), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.6184312157757378250977280166736816786933907786721e-15797)) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(-318407.24093988403283716622327788498668735878111682) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(-203324.30886650102282671546357187147244481049412212) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(-18046.096713966837111926383334978114928772679560354) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(-4867.6126530474518428825812639081701032287340383263) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(-3226.7724068746886393004717161425496197515372741622) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(-265.36469402952990171553286026164847301719062806564) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(-70.804411666519349644733940672201002630982054503231) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(-43.686978561003354802613782475529249502661096099636) }}, 
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+      {{ SC_(-0.88e2), SC_(0.503011474609375e3), SC_(-4.2691356322860956850905553978678973095694357478875e-217) }}, 
+      {{ SC_(-0.88e2), SC_(0.10074598388671875e4), SC_(-5.3859271482409235484034083878540429529372064477554e-438) }}, 
+      {{ SC_(-0.88e2), SC_(0.1185395751953125e4), SC_(-1.4755876549974846772926302013801419869024203613031e-515) }}, 
+      {{ SC_(-0.88e2), SC_(0.353451806640625e4), SC_(-5.9986403777420733686664189021548382857880737324782e-1537) }}, 
+      {{ SC_(-0.88e2), SC_(0.80715478515625e4), SC_(-8.3995394550628292156517670639450923693412327537556e-3508) }}, 
+      {{ SC_(-0.88e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.6499429337777740527854112012152307484800747131988e-7051)) }}, 
+      {{ SC_(-0.88e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.1752092856281561337229432353326859580022400449271e-13929)) }}, 
+      {{ SC_(-0.88e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.91259416631711777510013561133401775712156938498e-15797)) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_y01_data.ipp b/src/boost/libs/math/test/bessel_y01_data.ipp
new file mode 100644
index 00000000..5d713336
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_y01_data.ipp
@@ -0,0 +1,109 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 100> bessel_y01_data = {{
+      {{ SC_(0.0), SC_(0.23917420208454132080078125e0), SC_(-0.96144387845032600014206252125473909797e0) }}, 
+      {{ SC_(0.0), SC_(0.1785583972930908203125e1), SC_(0.4741447443427281185149710186267060231689e0) }}, 
+      {{ SC_(0.0), SC_(0.48770198822021484375e1), SC_(-0.2878028614684715596290259912770720755831e0) }}, 
+      {{ SC_(0.0), SC_(0.54930877685546875e1), SC_(-0.3396368039207613416368370236707080035826e0) }}, 
+      {{ SC_(0.0), SC_(0.5623225688934326171875e1), SC_(-0.3340373324911775573542553376291358673245e0) }}, 
+      {{ SC_(0.0), SC_(0.6349340915679931640625e1), SC_(-0.2128871385683908276739449505491816562456e0) }}, 
+      {{ SC_(0.0), SC_(0.677385044097900390625e1), SC_(-0.9426827045132919826659947856922431474509e-1) }}, 
+      {{ SC_(0.0), SC_(0.7094316959381103515625e1), SC_(0.2479102692009034386110116691802019548306e-2) }}, 
+      {{ SC_(0.0), SC_(0.788065433502197265625e1), SC_(0.2029626650223921424547972824606518098619e0) }}, 
+      {{ SC_(0.0), SC_(0.941909885406494140625e1), SC_(0.1871389209333241942443487293304042083944e0) }}, 
+      {{ SC_(0.0), SC_(0.105962162017822265625e2), SC_(-0.895681903138232043513826049370887073897e-1) }}, 
+      {{ SC_(0.0), SC_(0.110517024993896484375e2), SC_(-0.1770624440732838746367860550588287464321e0) }}, 
+      {{ SC_(0.0), SC_(0.139249114990234375e2), SC_(0.1142985183059252859759404038734709330922e0) }}, 
+      {{ SC_(0.0), SC_(0.1485147190093994140625e2), SC_(0.2063286797703167877532498353892868456477e0) }}, 
+      {{ SC_(0.0), SC_(0.15408351898193359375e2), SC_(0.1804637317868620678845766162727475608308e0) }}, 
+      {{ SC_(0.0), SC_(0.180646991729736328125e2), SC_(-0.1876865372622732192971339060928812967449e0) }}, 
+      {{ SC_(0.0), SC_(0.199369258880615234375e2), SC_(0.5206684116941857702281164878715312044063e-1) }}, 
+      {{ SC_(0.0), SC_(0.210880641937255859375e2), SC_(0.1723989782023412731879808822208131224943e0) }}, 
+      {{ SC_(0.0), SC_(0.242687816619873046875e2), SC_(-0.1613789161670016087114250427765172807239e0) }}, 
+      {{ SC_(0.0), SC_(0.25183135986328125e2), SC_(-0.1071939400958389283049694534626391030773e0) }}, 
+      {{ SC_(0.0), SC_(0.27344074249267578125e2), SC_(0.1508708516504150084978629879232740523815e0) }}, 
+      {{ SC_(0.0), SC_(0.273610286712646484375e2), SC_(0.1511874592773052558132847555838893071071e0) }}, 
+      {{ SC_(0.0), SC_(0.316179637908935546875e2), SC_(-0.7862384849343525606244284493490404212792e-1) }}, 
+      {{ SC_(0.0), SC_(0.3198816680908203125e2), SC_(-0.3038016447495889126879755326091231324441e-1) }}, 
+      {{ SC_(0.0), SC_(0.327870330810546875e2), SC_(0.7658058565089261314120406134639008633495e-1) }}, 
+      {{ SC_(0.0), SC_(0.33936756134033203125e2), SC_(0.135185927745980170738744171379455779367e0) }}, 
+      {{ SC_(0.0), SC_(0.340679779052734375e2), SC_(0.1308985104522637565167036775360209675704e0) }}, 
+      {{ SC_(0.0), SC_(0.362919464111328125e2), SC_(-0.1073864718556727242939230205939491695933e0) }}, 
+      {{ SC_(0.0), SC_(0.396103668212890625e2), SC_(0.1142550468868382394556084602403207743216e0) }}, 
+      {{ SC_(0.0), SC_(0.3989643096923828125e2), SC_(0.124661273461738151669837813759338802014e0) }}, 
+      {{ SC_(0.0), SC_(0.39905292510986328125e2), SC_(0.1248230809391841736060855994886626203322e0) }}, 
+      {{ SC_(0.0), SC_(0.400140228271484375e2), SC_(0.1260052610908056072451525745074524623778e0) }}, 
+      {{ SC_(0.0), SC_(0.4073618316650390625e2), SC_(0.9737382379702960925368875830625442357192e-1) }}, 
+      {{ SC_(0.0), SC_(0.4175042724609375e2), SC_(-0.1494519243198415326119337512087694723669e-1) }}, 
+      {{ SC_(0.0), SC_(0.424564666748046875e2), SC_(-0.9014506163034071267518605768672279547304e-1) }}, 
+      {{ SC_(0.0), SC_(0.4392153167724609375e2), SC_(-0.9036719621072680503961718730174281767038e-1) }}, 
+      {{ SC_(0.0), SC_(0.452895965576171875e2), SC_(0.5882036891280847548975142664645827422984e-1) }}, 
+      {{ SC_(0.0), SC_(0.45668792724609375e2), SC_(0.9236225506165839536204051297244550413125e-1) }}, 
+      {{ SC_(0.0), SC_(0.45786777496337890625e2), SC_(0.1002478087601361079531531328106555493414e0) }}, 
+      {{ SC_(0.0), SC_(0.466996612548828125e2), SC_(0.1093312781568777333543706682350852686496e0) }}, 
+      {{ SC_(0.0), SC_(0.47858348846435546875e2), SC_(0.6173117074433275797673442689748870252433e-2) }}, 
+      {{ SC_(0.0), SC_(0.4787534332275390625e2), SC_(0.4214269749343140372639153683731024716149e-2) }}, 
+      {{ SC_(0.0), SC_(0.47974620819091796875e2), SC_(-0.7221017162650168684644534187509493067458e-2) }}, 
+      {{ SC_(0.0), SC_(0.48244426727294921875e2), SC_(-0.3749948283323452728759672710131060037256e-1) }}, 
+      {{ SC_(0.0), SC_(0.48384746551513671875e2), SC_(-0.5224122081317449129185406414204132435727e-1) }}, 
+      {{ SC_(0.0), SC_(0.48443389892578125e2), SC_(-0.5810149952964139807372900859379505792103e-1) }}, 
+      {{ SC_(0.0), SC_(0.4852964019775390625e2), SC_(-0.6633946207791363484342690704116317279187e-1) }}, 
+      {{ SC_(0.0), SC_(0.49055484771728515625e2), SC_(-0.1036808657798402644495161610234081710331e0) }}, 
+      {{ SC_(0.0), SC_(0.4964406585693359375e2), SC_(-0.1117659301811653699040137406534766658576e0) }}, 
+      {{ SC_(0.0), SC_(0.4982306671142578125e2), SC_(-0.1065466287843043964466710578381452573432e0) }}, 
+      {{ SC_(0.1e1), SC_(0.23917420208454132080078125e0), SC_(-0.2816025505957848702890230692737435583999e1) }}, 
+      {{ SC_(0.1e1), SC_(0.1785583972930908203125e1), SC_(-0.2323574880952473756698741233078133158232e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48770198822021484375e1), SC_(0.1887793753606189589996790522700420589945e0) }}, 
+      {{ SC_(0.1e1), SC_(0.54930877685546875e1), SC_(-0.2143954097552594432326297820690591750424e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.5623225688934326171875e1), SC_(-0.6432984460938437015021689712475734307787e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.6349340915679931640625e1), SC_(-0.2511307972102585372917123452584402539094e0) }}, 
+      {{ SC_(0.1e1), SC_(0.677385044097900390625e1), SC_(-0.2989785036869612052873436440028846450436e0) }}, 
+      {{ SC_(0.1e1), SC_(0.7094316959381103515625e1), SC_(-0.2997377139745232636871782332312475969025e0) }}, 
+      {{ SC_(0.1e1), SC_(0.788065433502197265625e1), SC_(-0.186133051469056393893281692679499181405e0) }}, 
+      {{ SC_(0.1e1), SC_(0.941909885406494140625e1), SC_(0.190361227136102466719822742808004416221e0) }}, 
+      {{ SC_(0.1e1), SC_(0.105962162017822265625e2), SC_(0.2240497166044468367366329478931466799755e0) }}, 
+      {{ SC_(0.1e1), SC_(0.110517024993896484375e2), SC_(0.1540160818741671628552636923084057652304e0) }}, 
+      {{ SC_(0.1e1), SC_(0.139249114990234375e2), SC_(-0.1766396467501490164858936378782126340342e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1485147190093994140625e2), SC_(-0.9506363681079245319129321117867079275859e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.15408351898193359375e2), SC_(0.99321403407708436538763939792420633861e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.180646991729736328125e2), SC_(-0.3995388258078618389192173389771024944513e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.199369258880615234375e2), SC_(-0.1696600513329557121425560056217261449047e0) }}, 
+      {{ SC_(0.1e1), SC_(0.210880641937255859375e2), SC_(-0.1733957455990071497842225993373989557431e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.242687816619873046875e2), SC_(0.1021971395701211404109265949334393638881e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.25183135986328125e2), SC_(-0.119556229137516783528551234301878875503e0) }}, 
+      {{ SC_(0.1e1), SC_(0.27344074249267578125e2), SC_(-0.1995985480706287524814653648262685912676e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.273610286712646484375e2), SC_(-0.173876060044410140856275457334661052251e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.316179637908935546875e2), SC_(-0.1193701231934014102558224854153342610094e0) }}, 
+      {{ SC_(0.1e1), SC_(0.3198816680908203125e2), SC_(-0.1382462102065444071353719726581548003019e0) }}, 
+      {{ SC_(0.1e1), SC_(0.327870330810546875e2), SC_(-0.1152502985662088783214562688328306893687e0) }}, 
+      {{ SC_(0.1e1), SC_(0.33936756134033203125e2), SC_(0.2394218295328153690551974191920973663242e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.340679779052734375e2), SC_(0.4129906123027152853078275121624211732661e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.362919464111328125e2), SC_(0.7604014342236898104501488355770421840119e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.396103668212890625e2), SC_(-0.5348553383812884892017999878337862380908e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.3989643096923828125e2), SC_(-0.1881415396910400076456852195968705619502e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.39905292510986328125e2), SC_(-0.1770468345557173172933692614949148322983e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.400140228271484375e2), SC_(-0.4025288726928248087599225614592773179551e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.4073618316650390625e2), SC_(0.7959115261091509104088861641763392149822e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4175042724609375e2), SC_(0.1224013166060462132230567141290330120648e0) }}, 
+      {{ SC_(0.1e1), SC_(0.424564666748046875e2), SC_(0.8181451309209186481544883864207065020545e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4392153167724609375e2), SC_(-0.8057815233036708376163307599491467159994e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.452895965576171875e2), SC_(-0.1022936127451748973670400377224684952561e0) }}, 
+      {{ SC_(0.1e1), SC_(0.45668792724609375e2), SC_(-0.725345130575250866364960202825599272059e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.45786777496337890625e2), SC_(-0.6098613412165902384405909899253497503886e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.466996612548828125e2), SC_(0.4213746852981118912882681387493786761666e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.47858348846435546875e2), SC_(0.1152373194909642455028362253859850179066e0) }}, 
+      {{ SC_(0.1e1), SC_(0.4787534332275390625e2), SC_(0.1152846618892812588531426336829335209133e0) }}, 
+      {{ SC_(0.1e1), SC_(0.47974620819091796875e2), SC_(0.1148964835202570220707248379081032143507e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48244426727294921875e2), SC_(0.1081934550363820741605791245861795859361e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48384746551513671875e2), SC_(0.1015812774603423801064358240911218545139e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48443389892578125e2), SC_(0.9822383693317642997910135239495267124437e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4852964019775390625e2), SC_(0.9268396308064766041470606107371977547449e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.49055484771728515625e2), SC_(0.4613847461932302214343079992899045052011e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4964406585693359375e2), SC_(-0.1933115283084264304511911708126688592758e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4982306671142578125e2), SC_(-0.3881735371825568460631754621811251910549e-1) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_y01_prime_data.ipp b/src/boost/libs/math/test/bessel_y01_prime_data.ipp
new file mode 100644
index 00000000..5ef8f29e
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_y01_prime_data.ipp
@@ -0,0 +1,207 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 200> bessel_y01_prime_data = {{
+      {{ SC_(0.0), SC_(0.23917420208454132080078125e0), SC_(2.8160255059578487028902306927374355839994931221929) }}, 
+      {{ SC_(0.0), SC_(0.1785583972930908203125e1), SC_(0.23235748809524737566987412330781331582320965659276) }}, 
+      {{ SC_(0.0), SC_(0.48770198822021484375e1), SC_(-0.1887793753606189589996790522700420589944901022832) }}, 
+      {{ SC_(0.0), SC_(0.54930877685546875e1), SC_(0.021439540975525944323262978206905917504240444712475) }}, 
+      {{ SC_(0.0), SC_(0.5623225688934326171875e1), SC_(0.0643298446093843701502168971247573430778699662947) }}, 
+      {{ SC_(0.0), SC_(0.6349340915679931640625e1), SC_(0.25113079721025853729171234525844025390943188982433) }}, 
+      {{ SC_(0.0), SC_(0.677385044097900390625e1), SC_(0.29897850368696120528734364400288464504363404931974) }}, 
+      {{ SC_(0.0), SC_(0.7094316959381103515625e1), SC_(0.29973771397452326368717823323124759690248504450038) }}, 
+      {{ SC_(0.0), SC_(0.788065433502197265625e1), SC_(0.18613305146905639389328169267949918140504113856275) }}, 
+      {{ SC_(0.0), SC_(0.941909885406494140625e1), SC_(-0.19036122713610246671982274280800441622095889554016) }}, 
+      {{ SC_(0.0), SC_(0.105962162017822265625e2), SC_(-0.224049716604446836736632947893146679975465117857) }}, 
+      {{ SC_(0.0), SC_(0.110517024993896484375e2), SC_(-0.15401608187416716285526369230840576523040780614666) }}, 
+      {{ SC_(0.0), SC_(0.139249114990234375e2), SC_(0.1766396467501490164858936378782126340342349979835) }}, 
+      {{ SC_(0.0), SC_(0.1485147190093994140625e2), SC_(0.0095063636810792453191293211178670792758593381498791) }}, 
+      {{ SC_(0.0), SC_(0.15408351898193359375e2), SC_(-0.09932140340770843653876393979242063386099860400886) }}, 
+      {{ SC_(0.0), SC_(0.180646991729736328125e2), SC_(0.0039953882580786183891921733897710249445130816467863) }}, 
+      {{ SC_(0.0), SC_(0.199369258880615234375e2), SC_(0.16966005133295571214255600562172614490470151366759) }}, 
+      {{ SC_(0.0), SC_(0.210880641937255859375e2), SC_(0.017339574559900714978422259933739895574305543221558) }}, 
+      {{ SC_(0.0), SC_(0.242687816619873046875e2), SC_(-0.010219713957012114041092659493343936388808937267772) }}, 
+      {{ SC_(0.0), SC_(0.25183135986328125e2), SC_(0.11955622913751678352855123430187887550301615859819) }}, 
+      {{ SC_(0.0), SC_(0.27344074249267578125e2), SC_(0.019959854807062875248146536482626859126756344259968) }}, 
+      {{ SC_(0.0), SC_(0.273610286712646484375e2), SC_(0.017387606004441014085627545733466105225101904851547) }}, 
+      {{ SC_(0.0), SC_(0.316179637908935546875e2), SC_(0.11937012319340141025582248541533426100937338072567) }}, 
+      {{ SC_(0.0), SC_(0.3198816680908203125e2), SC_(0.13824621020654440713537197265815480030190621850228) }}, 
+      {{ SC_(0.0), SC_(0.327870330810546875e2), SC_(0.11525029856620887832145626883283068936873160517223) }}, 
+      {{ SC_(0.0), SC_(0.33936756134033203125e2), SC_(-0.023942182953281536905519741919209736632424028771619) }}, 
+      {{ SC_(0.0), SC_(0.340679779052734375e2), SC_(-0.041299061230271528530782751216242117326606839248948) }}, 
+      {{ SC_(0.0), SC_(0.362919464111328125e2), SC_(-0.076040143422368981045014883557704218401187566123835) }}, 
+      {{ SC_(0.0), SC_(0.396103668212890625e2), SC_(0.053485533838128848920179998783378623809083891299153) }}, 
+      {{ SC_(0.0), SC_(0.3989643096923828125e2), SC_(0.018814153969104000764568521959687056195021386688711) }}, 
+      {{ SC_(0.0), SC_(0.39905292510986328125e2), SC_(0.017704683455571731729336926149491483229833968511736) }}, 
+      {{ SC_(0.0), SC_(0.400140228271484375e2), SC_(0.0040252887269282480875992256145927731795506603298093) }}, 
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+      {{ SC_(-0.1e1), SC_(0.316179637908935546875e2), SC_(0.074848459161508012008212703662365112002478351328335) }}, 
+      {{ SC_(-0.1e1), SC_(0.3198816680908203125e2), SC_(0.026058372262493194259685050043992626827114618164324) }}, 
+      {{ SC_(-0.1e1), SC_(0.327870330810546875e2), SC_(-0.080095703907591597355456547131827347703852175245458) }}, 
+      {{ SC_(-0.1e1), SC_(0.33936756134033203125e2), SC_(-0.13448043359507423570848832873966795287653905709874) }}, 
+      {{ SC_(-0.1e1), SC_(0.340679779052734375e2), SC_(-0.12968625590210805796183153586957109125536077909944) }}, 
+      {{ SC_(-0.1e1), SC_(0.362919464111328125e2), SC_(0.10948170649977114957454569018334523887144494213971) }}, 
+      {{ SC_(-0.1e1), SC_(0.396103668212890625e2), SC_(-0.11560533819010843318104637742152251378818310919985) }}, 
+      {{ SC_(-0.1e1), SC_(0.3989643096923828125e2), SC_(-0.12513284832475310290871439971297893236202382151324) }}, 
+      {{ SC_(-0.1e1), SC_(0.39905292510986328125e2), SC_(-0.12526674849156954841371081792458342160101433537496) }}, 
+      {{ SC_(-0.1e1), SC_(0.400140228271484375e2), SC_(-0.12610585804263713361765492939092873392682615399216) }}, 
+      {{ SC_(-0.1e1), SC_(0.4073618316650390625e2), SC_(-0.095420004209033441386616846916828715092923981164045) }}, 
+      {{ SC_(-0.1e1), SC_(0.4175042724609375e2), SC_(0.017876930492640725704353138240070555890101837210027) }}, 
+      {{ SC_(-0.1e1), SC_(0.424564666748046875e2), SC_(0.092072082871150743792820142997585126140424565877647) }}, 
+      {{ SC_(-0.1e1), SC_(0.4392153167724609375e2), SC_(0.088532602806232415557877716387220939105895451064964) }}, 
+      {{ SC_(-0.1e1), SC_(0.452895965576171875e2), SC_(-0.061079024774647242348217514169879728603535253369637) }}, 
+      {{ SC_(-0.1e1), SC_(0.45668792724609375e2), SC_(-0.093950528119256405378181578872389655349732106204859) }}, 
+      {{ SC_(-0.1e1), SC_(0.45786777496337890625e2), SC_(-0.10157976827894122161910168738072866258894632748933) }}, 
+      {{ SC_(-0.1e1), SC_(0.466996612548828125e2), SC_(-0.10842897035854428421543763648314206962873595663058) }}, 
+      {{ SC_(-0.1e1), SC_(0.47858348846435546875e2), SC_(-0.0037652337631905597277430302803174864751392038332945) }}, 
+      {{ SC_(-0.1e1), SC_(0.4787534332275390625e2), SC_(-0.0018062523047039610297840146828025221156156219518872) }}, 
+      {{ SC_(-0.1e1), SC_(0.47974620819091796875e2), SC_(0.0096159601879118348759744115308897311034863484471548) }}, 
+      {{ SC_(-0.1e1), SC_(0.48244426727294921875e2), SC_(0.039742093272943000337244904492140484310575453741429) }}, 
+      {{ SC_(-0.1e1), SC_(0.48384746551513671875e2), SC_(0.054340669186892685422812555325029652310344886183215) }}, 
+      {{ SC_(-0.1e1), SC_(0.48443389892578125e2), SC_(0.060129099933968697776798880462499159004592800619415) }}, 
+      {{ SC_(-0.1e1), SC_(0.4852964019775390625e2), SC_(0.068249304448534329151126356792676147875495846808989) }}, 
+      {{ SC_(-0.1e1), SC_(0.49055484771728515625e2), SC_(0.1046214022934232142095256297166114261466610970061) }}, 
+      {{ SC_(-0.1e1), SC_(0.4964406585693359375e2), SC_(0.11137653514477669071095901730717066194022626312986) }}, 
+      {{ SC_(-0.1e1), SC_(0.4982306671142578125e2), SC_(0.1057675247210582492156600670383499544602927957322) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_yn_data.ipp b/src/boost/libs/math/test/bessel_yn_data.ipp
new file mode 100644
index 00000000..56000990
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yn_data.ipp
@@ -0,0 +1,309 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 300> bessel_yn_data = {{
+      {{ SC_(0.3e1), SC_(0.48770198822021484375e1), SC_(0.110763167474753768460862899966350902213e0) }}, 
+      {{ SC_(0.3e1), SC_(0.6349340915679931640625e1), SC_(0.3354120577583840086404698897976135110485e0) }}, 
+      {{ SC_(0.3e1), SC_(0.677385044097900390625e1), SC_(0.3025179709577162581120705977708622170952e0) }}, 
+      {{ SC_(0.3e1), SC_(0.941909885406494140625e1), SC_(-0.2526681038602083570260072993947985762425e0) }}, 
+      {{ SC_(0.3e1), SC_(0.110517024993896484375e2), SC_(-0.7984312482740648942854070462466960846308e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.139249114990234375e2), SC_(0.1365190825919215541308802073699101624338e0) }}, 
+      {{ SC_(0.3e1), SC_(0.15408351898193359375e2), SC_(-0.1428229643813645478620540882069209010424e0) }}, 
+      {{ SC_(0.3e1), SC_(0.27344074249267578125e2), SC_(-0.2323694273239485669670827936469439230487e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.273610286712646484375e2), SC_(-0.4900800934361467422069755250398652540081e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.316179637908935546875e2), SC_(0.1283616028850886874076400480565553924498e0) }}, 
+      {{ SC_(0.3e1), SC_(0.4073618316650390625e2), SC_(-0.8876885924474539097667043483672377859036e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.4175042724609375e2), SC_(-0.1204076921163476847306821484924527347889e0) }}, 
+      {{ SC_(0.3e1), SC_(0.452895965576171875e2), SC_(0.9669959686067408105414856540894770457144e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.45668792724609375e2), SC_(0.6416654049008983918193469604019080196524e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.48443389892578125e2), SC_(-0.9309152059642734958018227116834056340071e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.48770198822021484375e1), SC_(-0.7682201721816641589208505594820750775031e0) }}, 
+      {{ SC_(0.6e1), SC_(0.6349340915679931640625e1), SC_(-0.3479423535919170112541557568046971845486e0) }}, 
+      {{ SC_(0.6e1), SC_(0.677385044097900390625e1), SC_(-0.2518297913144822384948024722074769783391e0) }}, 
+      {{ SC_(0.6e1), SC_(0.941909885406494140625e1), SC_(0.2696495425502131298219276073956952657041e0) }}, 
+      {{ SC_(0.6e1), SC_(0.110517024993896484375e2), SC_(0.1579058061166539049950139801492495632319e0) }}, 
+      {{ SC_(0.6e1), SC_(0.139249114990234375e2), SC_(-0.214638507088782708332760891144120271447e0) }}, 
+      {{ SC_(0.6e1), SC_(0.15408351898193359375e2), SC_(0.1846008639272405573148078141757591445936e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.27344074249267578125e2), SC_(-0.1347270014641035443110406257337437495382e0) }}, 
+      {{ SC_(0.6e1), SC_(0.273610286712646484375e2), SC_(-0.1334153397469278773891149524770013367273e0) }}, 
+      {{ SC_(0.6e1), SC_(0.316179637908935546875e2), SC_(0.2378484491732698166359206052246509293721e-2) }}, 
+      {{ SC_(0.6e1), SC_(0.4073618316650390625e2), SC_(-0.5472472826251697058558978710700928656814e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.4175042724609375e2), SC_(0.6520327308993981465264074827650561383002e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.452895965576171875e2), SC_(-0.9452992234494168858802163379037878510028e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.45668792724609375e2), SC_(-0.1140314635876510494905774064172128035215e0) }}, 
+      {{ SC_(0.6e1), SC_(0.48443389892578125e2), SC_(0.9039125064888635209873025550900765793581e-1) }}, 
+      {{ SC_(0.9e1), SC_(0.48770198822021484375e1), SC_(-0.9297117648579269026592450591820736286048e1) }}, 
+      {{ SC_(0.9e1), SC_(0.6349340915679931640625e1), SC_(-0.1642785653883350207327509679573278148917e1) }}, 
+      {{ SC_(0.9e1), SC_(0.677385044097900390625e1), SC_(-0.1163556464540991454316123708406235280022e1) }}, 
+      {{ SC_(0.9e1), SC_(0.941909885406494140625e1), SC_(-0.3010601044539710017331500982549858067088e0) }}, 
+      {{ SC_(0.9e1), SC_(0.110517024993896484375e2), SC_(-0.2324009087284838473547366749630392221952e-2) }}, 
+      {{ SC_(0.9e1), SC_(0.139249114990234375e2), SC_(0.2214037020748939190117162404706773042894e0) }}, 
+      {{ SC_(0.9e1), SC_(0.15408351898193359375e2), SC_(-0.8624940937284109551983786643262863800438e-2) }}, 
+      {{ SC_(0.9e1), SC_(0.27344074249267578125e2), SC_(0.1529842094320696329428609651300091107366e0) }}, 
+      {{ SC_(0.9e1), SC_(0.273610286712646484375e2), SC_(0.1534759546343323314550340680130494112099e0) }}, 
+      {{ SC_(0.9e1), SC_(0.316179637908935546875e2), SC_(-0.1106752036561379100843137124587521895002e0) }}, 
+      {{ SC_(0.9e1), SC_(0.4073618316650390625e2), SC_(0.1258819156633191815287890960535453440772e0) }}, 
+      {{ SC_(0.9e1), SC_(0.4175042724609375e2), SC_(0.5724965886188775547845432977443031893556e-1) }}, 
+      {{ SC_(0.9e1), SC_(0.452895965576171875e2), SC_(-0.1845007406807998875290607621548958463304e-1) }}, 
+      {{ SC_(0.9e1), SC_(0.45668792724609375e2), SC_(0.2567744007868617975728678932906613386029e-1) }}, 
+      {{ SC_(0.9e1), SC_(0.48443389892578125e2), SC_(0.230902957959941886085023895904914286182e-1) }}, 
+      {{ SC_(0.12e2), SC_(0.48770198822021484375e1), SC_(-0.5014302199056606705943012073033758819751e3) }}, 
+      {{ SC_(0.12e2), SC_(0.6349340915679931640625e1), SC_(-0.3184181647223721856874057494272981331161e2) }}, 
+      {{ SC_(0.12e2), SC_(0.677385044097900390625e1), SC_(-0.1689950411904265377863222612787794563465e2) }}, 
+      {{ SC_(0.12e2), SC_(0.941909885406494140625e1), SC_(-0.1113045406792556884051547016253472888446e1) }}, 
+      {{ SC_(0.12e2), SC_(0.110517024993896484375e2), SC_(-0.4887919143673445189746680356694993315599e0) }}, 
+      {{ SC_(0.12e2), SC_(0.139249114990234375e2), SC_(-0.5164270636697790648727679099312164508566e-1) }}, 
+      {{ SC_(0.12e2), SC_(0.15408351898193359375e2), SC_(0.1641171463260105309258962095572986351808e0) }}, 
+      {{ SC_(0.12e2), SC_(0.27344074249267578125e2), SC_(-0.1313908322913451851763761649507472357274e0) }}, 
+      {{ SC_(0.12e2), SC_(0.273610286712646484375e2), SC_(-0.1327409819989311784031204560420443662466e0) }}, 
+      {{ SC_(0.12e2), SC_(0.316179637908935546875e2), SC_(0.1459273101591621646487444827617739570529e0) }}, 
+      {{ SC_(0.12e2), SC_(0.4073618316650390625e2), SC_(-0.9912101628665068614729233884578138310206e-1) }}, 
+      {{ SC_(0.12e2), SC_(0.4175042724609375e2), SC_(-0.1210187021716223197235412947902227468745e0) }}, 
+      {{ SC_(0.12e2), SC_(0.452895965576171875e2), SC_(0.1031061645767935052995708616490540524693e0) }}, 
+      {{ SC_(0.12e2), SC_(0.45668792724609375e2), SC_(0.7348747656449140685461449731713104253185e-1) }}, 
+      {{ SC_(0.12e2), SC_(0.48443389892578125e2), SC_(-0.104644764861527467660104682568902187136e0) }}, 
+      {{ SC_(0.15e2), SC_(0.48770198822021484375e1), SC_(-0.666835354744947947091675381536305560756e5) }}, 
+      {{ SC_(0.15e2), SC_(0.6349340915679931640625e1), SC_(-0.173729680482248942219130294732963316738e4) }}, 
+      {{ SC_(0.15e2), SC_(0.677385044097900390625e1), SC_(-0.7318674423901733450279878419863714169138e3) }}, 
+      {{ SC_(0.15e2), SC_(0.941909885406494140625e1), SC_(-0.1227797563147048810430867118311815267114e2) }}, 
+      {{ SC_(0.15e2), SC_(0.110517024993896484375e2), SC_(-0.2336439631002320795333551729067096369295e1) }}, 
+      {{ SC_(0.15e2), SC_(0.139249114990234375e2), SC_(-0.4608554067953761333240509889177356652562e0) }}, 
+      {{ SC_(0.15e2), SC_(0.15408351898193359375e2), SC_(-0.2650007170730137552006350126116876981542e0) }}, 
+      {{ SC_(0.15e2), SC_(0.27344074249267578125e2), SC_(0.1339393015080547697867316027047186886737e0) }}, 
+      {{ SC_(0.15e2), SC_(0.273610286712646484375e2), SC_(0.1352764957654073478496974616598867736456e0) }}, 
+      {{ SC_(0.15e2), SC_(0.316179637908935546875e2), SC_(-0.1504167696767632660980135636348239887166e0) }}, 
+      {{ SC_(0.15e2), SC_(0.4073618316650390625e2), SC_(0.4192895741965062819366359688077289580721e-1) }}, 
+      {{ SC_(0.15e2), SC_(0.4175042724609375e2), SC_(0.1222369456557319980687974057240153639664e0) }}, 
+      {{ SC_(0.15e2), SC_(0.452895965576171875e2), SC_(-0.1212314948571698710841160352735037017439e0) }}, 
+      {{ SC_(0.15e2), SC_(0.45668792724609375e2), SC_(-0.117929273832001751151211995799064238057e0) }}, 
+      {{ SC_(0.15e2), SC_(0.48443389892578125e2), SC_(0.1133197238546128580729495578555993628308e0) }}, 
+      {{ SC_(0.18e2), SC_(0.48770198822021484375e1), SC_(-0.1735006375409931866095877212397092601486e8) }}, 
+      {{ SC_(0.18e2), SC_(0.6349340915679931640625e1), SC_(-0.1931345446044047628299354348757244520564e6) }}, 
+      {{ SC_(0.18e2), SC_(0.677385044097900390625e1), SC_(-0.6562338168138688104175526311745778766709e5) }}, 
+      {{ SC_(0.18e2), SC_(0.941909885406494140625e1), SC_(-0.3414245342500632489013066595244217862939e3) }}, 
+      {{ SC_(0.18e2), SC_(0.110517024993896484375e2), SC_(-0.3342370864484154776921067730649931623749e2) }}, 
+      {{ SC_(0.18e2), SC_(0.139249114990234375e2), SC_(-0.1925986338761310029583252021688787248734e1) }}, 
+      {{ SC_(0.18e2), SC_(0.15408351898193359375e2), SC_(-0.7729891320320143670131205933282193832589e0) }}, 
+      {{ SC_(0.18e2), SC_(0.27344074249267578125e2), SC_(-0.1693713632672311004500375437482770352724e0) }}, 
+      {{ SC_(0.18e2), SC_(0.273610286712646484375e2), SC_(-0.169861300144376471128043717084906663622e0) }}, 
+      {{ SC_(0.18e2), SC_(0.316179637908935546875e2), SC_(0.1563695685362752509428656687488096674676e0) }}, 
+      {{ SC_(0.18e2), SC_(0.4073618316650390625e2), SC_(-0.123598598293883990094119772796947997619e-2) }}, 
+      {{ SC_(0.18e2), SC_(0.4175042724609375e2), SC_(-0.1035816216055041714196396538346417208839e0) }}, 
+      {{ SC_(0.18e2), SC_(0.452895965576171875e2), SC_(0.1043274265755935855106359131946658832855e0) }}, 
+      {{ SC_(0.18e2), SC_(0.45668792724609375e2), SC_(0.1201881752927240427353419474405213705808e0) }}, 
+      {{ SC_(0.18e2), SC_(0.48443389892578125e2), SC_(-0.8309624755011994592399503020642724269056e-1) }}, 
+      {{ SC_(0.21e2), SC_(0.48770198822021484375e1), SC_(-0.7753821734416440873812393125485540325052e10) }}, 
+      {{ SC_(0.21e2), SC_(0.6349340915679931640625e1), SC_(-0.3759868228594510202039725582719047882076e8) }}, 
+      {{ SC_(0.21e2), SC_(0.677385044097900390625e1), SC_(-0.1037725906923191533052745601541569584266e8) }}, 
+      {{ SC_(0.21e2), SC_(0.941909885406494140625e1), SC_(-0.1792312356947587111357560321883440343677e5) }}, 
+      {{ SC_(0.21e2), SC_(0.110517024993896484375e2), SC_(-0.9816264308635109952262612473147845726117e3) }}, 
+      {{ SC_(0.21e2), SC_(0.139249114990234375e2), SC_(-0.2127234712177029865639640613243979901087e2) }}, 
+      {{ SC_(0.21e2), SC_(0.15408351898193359375e2), SC_(-0.4929530434109934804775310785854955847031e1) }}, 
+      {{ SC_(0.21e2), SC_(0.27344074249267578125e2), SC_(0.1633000115931048781050122700079249067998e0) }}, 
+      {{ SC_(0.21e2), SC_(0.273610286712646484375e2), SC_(0.1621093772190383209869937458074600220423e0) }}, 
+      {{ SC_(0.21e2), SC_(0.316179637908935546875e2), SC_(-0.1513673625278760171223693576020059281231e0) }}, 
+      {{ SC_(0.21e2), SC_(0.4073618316650390625e2), SC_(-0.8688767252744713843809375160645039487404e-2) }}, 
+      {{ SC_(0.21e2), SC_(0.4175042724609375e2), SC_(0.9607878571353470463741773008046900188416e-1) }}, 
+      {{ SC_(0.21e2), SC_(0.452895965576171875e2), SC_(-0.8741240150691469640654788323619280887104e-1) }}, 
+      {{ SC_(0.21e2), SC_(0.45668792724609375e2), SC_(-0.1118492488032765870829767925254453767725e0) }}, 
+      {{ SC_(0.21e2), SC_(0.48443389892578125e2), SC_(0.5199149092587105686782906210189564424145e-1) }}, 
+      {{ SC_(0.24e2), SC_(0.48770198822021484375e1), SC_(-0.5461443876290786061809351447005645823262e13) }}, 
+      {{ SC_(0.24e2), SC_(0.6349340915679931640625e1), SC_(-0.1166363089113358135443687855049318526504e11) }}, 
+      {{ SC_(0.24e2), SC_(0.677385044097900390625e1), SC_(-0.2625133599502869464265375659393314730809e10) }}, 
+      {{ SC_(0.24e2), SC_(0.941909885406494140625e1), SC_(-0.1557563982037263340582977212038997882649e7) }}, 
+      {{ SC_(0.24e2), SC_(0.110517024993896484375e2), SC_(-0.4936461096398447103587648423487124265789e5) }}, 
+      {{ SC_(0.24e2), SC_(0.139249114990234375e2), SC_(-0.4525227622995130407205035914097509628284e3) }}, 
+      {{ SC_(0.24e2), SC_(0.15408351898193359375e2), SC_(-0.6838579391319029823184512700439766716529e2) }}, 
+      {{ SC_(0.24e2), SC_(0.27344074249267578125e2), SC_(0.5830535937469980667664835132960579367079e-1) }}, 
+      {{ SC_(0.24e2), SC_(0.273610286712646484375e2), SC_(0.5998908727772662300265268904568615954016e-1) }}, 
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+      {{ SC_(0.54e2), SC_(0.941909885406494140625e1), SC_(-0.9448773063492740921951882034107555889314e33) }}, 
+      {{ SC_(0.54e2), SC_(0.110517024993896484375e2), SC_(-0.1976226953367884232990383015948873832395e30) }}, 
+      {{ SC_(0.54e2), SC_(0.139249114990234375e2), SC_(-0.1060239929445304895052402195312333832751e25) }}, 
+      {{ SC_(0.54e2), SC_(0.15408351898193359375e2), SC_(-0.5524852310470588596167631811840899911653e22) }}, 
+      {{ SC_(0.54e2), SC_(0.27344074249267578125e2), SC_(-0.2443271932118273203257306735627770090503e10) }}, 
+      {{ SC_(0.54e2), SC_(0.273610286712646484375e2), SC_(-0.2374028629035348856642105835047755802793e10) }}, 
+      {{ SC_(0.54e2), SC_(0.316179637908935546875e2), SC_(-0.3530147161153490224199678627355098967203e7) }}, 
+      {{ SC_(0.54e2), SC_(0.4073618316650390625e2), SC_(-0.1523687692433405507809303644341462788826e3) }}, 
+      {{ SC_(0.54e2), SC_(0.4175042724609375e2), SC_(-0.6588811991238001972711661692129876612553e2) }}, 
+      {{ SC_(0.54e2), SC_(0.452895965576171875e2), SC_(-0.5340581063654305505018449302519149157836e1) }}, 
+      {{ SC_(0.54e2), SC_(0.45668792724609375e2), SC_(-0.4241843123154779988294497423588841413993e1) }}, 
+      {{ SC_(0.54e2), SC_(0.48443389892578125e2), SC_(-0.101007717644958422192422706197265435244e1) }}, 
+      {{ SC_(0.57e2), SC_(0.48770198822021484375e1), SC_(-0.2161626205739229156929028218866774547264e53) }}, 
+      {{ SC_(0.57e2), SC_(0.6349340915679931640625e1), SC_(-0.6857816478363427954638793152049033022474e46) }}, 
+      {{ SC_(0.57e2), SC_(0.677385044097900390625e1), SC_(-0.1757633522876923346308719323318346692964e45) }}, 
+      {{ SC_(0.57e2), SC_(0.941909885406494140625e1), SC_(-0.1470724735456049669352892370483504273101e37) }}, 
+      {{ SC_(0.57e2), SC_(0.110517024993896484375e2), SC_(-0.1887826470413712223495666019943375481003e33) }}, 
+      {{ SC_(0.57e2), SC_(0.139249114990234375e2), SC_(-0.4968500213339560352225854720671631559582e27) }}, 
+      {{ SC_(0.57e2), SC_(0.15408351898193359375e2), SC_(-0.1888817184319266555840067091337856309212e25) }}, 
+      {{ SC_(0.57e2), SC_(0.27344074249267578125e2), SC_(-0.1288212844049340614131327714502525981742e12) }}, 
+      {{ SC_(0.57e2), SC_(0.273610286712646484375e2), SC_(-0.1249013008694464348198848991016934457599e12) }}, 
+      {{ SC_(0.57e2), SC_(0.316179637908935546875e2), SC_(-0.1107695891983348156343774480706314333398e9) }}, 
+      {{ SC_(0.57e2), SC_(0.4073618316650390625e2), SC_(-0.1713142312580323786184747142248961806243e4) }}, 
+      {{ SC_(0.57e2), SC_(0.4175042724609375e2), SC_(-0.6604590530228345805227426149899214659609e3) }}, 
+      {{ SC_(0.57e2), SC_(0.452895965576171875e2), SC_(-0.3518710444917558080090981427376821716428e2) }}, 
+      {{ SC_(0.57e2), SC_(0.45668792724609375e2), SC_(-0.2663864616630346108683365093711526997299e2) }}, 
+      {{ SC_(0.57e2), SC_(0.48443389892578125e2), SC_(-0.4306298772312023516324511417973550342892e1) }}, 
+      {{ SC_(0.6e2), SC_(0.48770198822021484375e1), SC_(-0.2892081353968073031088937298478587490074e57) }}, 
+      {{ SC_(0.6e2), SC_(0.6349340915679931640625e1), SC_(-0.4142396646874563143741981167064851524547e50) }}, 
+      {{ SC_(0.6e2), SC_(0.677385044097900390625e1), SC_(-0.8732096096999191430049139445386679139699e48) }}, 
+      {{ SC_(0.6e2), SC_(0.941909885406494140625e1), SC_(-0.2690978379323628746253084206502905589883e40) }}, 
+      {{ SC_(0.6e2), SC_(0.110517024993896484375e2), SC_(-0.2121795509181260451828069876653538790412e36) }}, 
+      {{ SC_(0.6e2), SC_(0.139249114990234375e2), SC_(-0.2744926792364829807723799177062944239004e30) }}, 
+      {{ SC_(0.6e2), SC_(0.15408351898193359375e2), SC_(-0.76223015502590825948030726266442383048e27) }}, 
+      {{ SC_(0.6e2), SC_(0.27344074249267578125e2), SC_(-0.8156824115957781369979544049155027772995e13) }}, 
+      {{ SC_(0.6e2), SC_(0.273610286712646484375e2), SC_(-0.7891899080153060843746196671232001179968e13) }}, 
+      {{ SC_(0.6e2), SC_(0.316179637908935546875e2), SC_(-0.4219761955150242610522454447404911542549e10) }}, 
+      {{ SC_(0.6e2), SC_(0.4073618316650390625e2), SC_(-0.2439731391973693955896903470108472114229e5) }}, 
+      {{ SC_(0.6e2), SC_(0.4175042724609375e2), SC_(-0.8451812456206044962273070236632882957476e4) }}, 
+      {{ SC_(0.6e2), SC_(0.452895965576171875e2), SC_(-0.3079126889383895719027479423955437627905e3) }}, 
+      {{ SC_(0.6e2), SC_(0.45668792724609375e2), SC_(-0.2235394837400507231196792387743951216596e3) }}, 
+      {{ SC_(0.6e2), SC_(0.48443389892578125e2), SC_(-0.2621645109951344510244589118146666833865e2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_yn_prime_data.ipp b/src/boost/libs/math/test/bessel_yn_prime_data.ipp
new file mode 100644
index 00000000..4813d638
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yn_prime_data.ipp
@@ -0,0 +1,607 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 600> bessel_yn_prime_data = {{
+      {{ SC_(0.3e1), SC_(0.48770198822021484375e1), SC_(0.29708501519972432874442609586225264980095279453487) }}, 
+      {{ SC_(0.3e1), SC_(0.6349340915679931640625e1), SC_(-0.024696224449710501462629183400498863527821680586339) }}, 
+      {{ SC_(0.3e1), SC_(0.677385044097900390625e1), SC_(-0.12798507472726383423677638554544275695549764510857) }}, 
+      {{ SC_(0.3e1), SC_(0.941909885406494140625e1), SC_(-0.066243410280370717974722487510346861657499475038741) }}, 
+      {{ SC_(0.3e1), SC_(0.110517024993896484375e2), SC_(0.226607890873068245856076342155101398787735861242) }}, 
+      {{ SC_(0.3e1), SC_(0.139249114990234375e2), SC_(-0.16908066477267740036269004386737437374794296404405) }}, 
+      {{ SC_(0.3e1), SC_(0.15408351898193359375e2), SC_(-0.13976426541284708799365090012038551369276059918868) }}, 
+      {{ SC_(0.3e1), SC_(0.27344074249267578125e2), SC_(-0.15207581571297747888485333231283834140497308882491) }}, 
+      {{ SC_(0.3e1), SC_(0.273610286712646484375e2), SC_(-0.1519210870018680635152610713224897498465625949351) }}, 
+      {{ SC_(0.3e1), SC_(0.316179637908935546875e2), SC_(0.058893765330339857551348010302889764995824335479609) }}, 
+      {{ SC_(0.3e1), SC_(0.4073618316650390625e2), SC_(-0.086928837303893143739085237037569616565662316714289) }}, 
+      {{ SC_(0.3e1), SC_(0.4175042724609375e2), SC_(0.029460629746888191941408408724635198680955117891972) }}, 
+      {{ SC_(0.3e1), SC_(0.452895965576171875e2), SC_(-0.069743098494712237418038425487225304207814963137718) }}, 
+      {{ SC_(0.3e1), SC_(0.45668792724609375e2), SC_(-0.099753925115669157739460992128310295715307292065023) }}, 
+      {{ SC_(0.3e1), SC_(0.48443389892578125e2), SC_(0.067921667703473489237190498102371805460687285783656) }}, 
+      {{ SC_(0.6e1), SC_(0.48770198822021484375e1), SC_(0.45878765063410398195047514022117535600745456721048) }}, 
+      {{ SC_(0.6e1), SC_(0.6349340915679931640625e1), SC_(0.22418218548331346668384601887950338231581017161593) }}, 
+      {{ SC_(0.6e1), SC_(0.677385044097900390625e1), SC_(0.22992537405176115753077734977154877584133523714429) }}, 
+      {{ SC_(0.6e1), SC_(0.941909885406494140625e1), SC_(0.068812728738758316426265590204315461639641314948809) }}, 
+      {{ SC_(0.6e1), SC_(0.110517024993896484375e2), SC_(-0.18560793859647973014977642931143089163783816925647) }}, 
+      {{ SC_(0.6e1), SC_(0.139249114990234375e2), SC_(0.070000798608673213299405628661755953528613026320459) }}, 
+      {{ SC_(0.6e1), SC_(0.15408351898193359375e2), SC_(0.19376241684387105036773317228980711041507362506569) }}, 
+      {{ SC_(0.6e1), SC_(0.27344074249267578125e2), SC_(0.076304221116947638013945583135805169200458199883397) }}, 
+      {{ SC_(0.6e1), SC_(0.273610286712646484375e2), SC_(0.078420037805937137991530603944111558157058065407156) }}, 
+      {{ SC_(0.6e1), SC_(0.316179637908935546875e2), SC_(-0.14063268384922508425913593008296375572873690906534) }}, 
+      {{ SC_(0.6e1), SC_(0.4073618316650390625e2), SC_(0.11261695236378634958215581301921273163991195797739) }}, 
+      {{ SC_(0.6e1), SC_(0.4175042724609375e2), SC_(0.10373432104016062775716024256556420239538076465411) }}, 
+      {{ SC_(0.6e1), SC_(0.452895965576171875e2), SC_(-0.07072525055806153568833332722732611636759962571535) }}, 
+      {{ SC_(0.6e1), SC_(0.45668792724609375e2), SC_(-0.030972293751334079786007165028550614320459538159177) }}, 
+      {{ SC_(0.6e1), SC_(0.48443389892578125e2), SC_(0.069727330209413742568400956942373623052437909402476) }}, 
+      {{ SC_(0.9e1), SC_(0.48770198822021484375e1), SC_(13.894984273599357946670460450060714695541186697443) }}, 
+      {{ SC_(0.9e1), SC_(0.6349340915679931640625e1), SC_(1.4572449732657037985034939706086264681380206748801) }}, 
+      {{ SC_(0.9e1), SC_(0.677385044097900390625e1), SC_(0.86155765556755603309241698568190813419144466974822) }}, 
+      {{ SC_(0.9e1), SC_(0.941909885406494140625e1), SC_(0.1710413410930036380506740824485908748201671723424) }}, 
+      {{ SC_(0.9e1), SC_(0.110517024993896484375e2), SC_(0.18770721014765404279314765769479934980734954709839) }}, 
+      {{ SC_(0.9e1), SC_(0.139249114990234375e2), SC_(-0.091820892987377587186051248850168538644369690211803) }}, 
+      {{ SC_(0.9e1), SC_(0.15408351898193359375e2), SC_(-0.18294312664665444775238643234508987330780959872397) }}, 
+      {{ SC_(0.9e1), SC_(0.27344074249267578125e2), SC_(0.030170767630507901526554062130458597407692809133846) }}, 
+      {{ SC_(0.9e1), SC_(0.273610286712646484375e2), SC_(0.027836077534554534390644805689894449057578894439948) }}, 
+      {{ SC_(0.9e1), SC_(0.316179637908935546875e2), SC_(0.09159509925923975526422241366990580655607016877378) }}, 
+      {{ SC_(0.9e1), SC_(0.4073618316650390625e2), SC_(-0.014560595450177318431310834158190158688703590367834) }}, 
+      {{ SC_(0.9e1), SC_(0.4175042724609375e2), SC_(-0.10918704677153594383481179430725373778686664762628) }}, 
+      {{ SC_(0.9e1), SC_(0.452895965576171875e2), SC_(0.11618780209300140966948707898598828345386934997014) }}, 
+      {{ SC_(0.9e1), SC_(0.45668792724609375e2), SC_(0.11387322886512557530969521161202802054178337768994) }}, 
+      {{ SC_(0.9e1), SC_(0.48443389892578125e2), SC_(-0.11159658789970388222003965356965393759614529495583) }}, 
+      {{ SC_(0.12e2), SC_(0.48770198822021484375e1), SC_(1115.7365144169632250750708637568582608695929301336) }}, 
+      {{ SC_(0.12e2), SC_(0.6349340915679931640625e1), SC_(49.897386570683014367147275008906280714825402167729) }}, 
+      {{ SC_(0.12e2), SC_(0.677385044097900390625e1), SC_(23.993108749436298108964764952118170194224888450664) }}, 
+      {{ SC_(0.12e2), SC_(0.941909885406494140625e1), SC_(0.74509693829799785561868611377069970808153207426071) }}, 
+      {{ SC_(0.12e2), SC_(0.110517024993896484375e2), SC_(0.18994283431442037729889375715209075604063979081985) }}, 
+      {{ SC_(0.12e2), SC_(0.139249114990234375e2), SC_(0.16050891779589088320266596661126105201565065198727) }}, 
+      {{ SC_(0.12e2), SC_(0.15408351898193359375e2), SC_(0.11173138819714695158653547881491793337469930619773) }}, 
+      {{ SC_(0.12e2), SC_(0.27344074249267578125e2), SC_(-0.080561355740097365169888939187527688259466186103315) }}, 
+      {{ SC_(0.12e2), SC_(0.273610286712646484375e2), SC_(-0.078703820719138679656817732451001710361631229400314) }}, 
+      {{ SC_(0.12e2), SC_(0.316179637908935546875e2), SC_(-0.022574993334430950380987246627710213662579801696555) }}, 
+      {{ SC_(0.12e2), SC_(0.4073618316650390625e2), SC_(-0.075879795644222713517319103314970846790130411505651) }}, 
+      {{ SC_(0.12e2), SC_(0.4175042724609375e2), SC_(0.035750292714468892331813238597938647023932419120925) }}, 
+      {{ SC_(0.12e2), SC_(0.452895965576171875e2), SC_(-0.061797017669492797650663465524809083071541977455965) }}, 
+      {{ SC_(0.12e2), SC_(0.45668792724609375e2), SC_(-0.092640205626110700150483187470111879132310224539884) }}, 
+      {{ SC_(0.12e2), SC_(0.48443389892578125e2), SC_(0.050675496197786768340935123379652737432851199053459) }}, 
+      {{ SC_(0.15e2), SC_(0.48770198822021484375e1), SC_(193071.00395255740558981967707950775753268827677393) }}, 
+      {{ SC_(0.15e2), SC_(0.6349340915679931640625e1), SC_(3685.3621786888678074280486263449657119766443216312) }}, 
+      {{ SC_(0.15e2), SC_(0.677385044097900390625e1), SC_(1430.5428362156393546656155053653458779427929558875) }}, 
+      {{ SC_(0.15e2), SC_(0.941909885406494140625e1), SC_(14.694853061314181950062405282730163593002349048433) }}, 
+      {{ SC_(0.15e2), SC_(0.110517024993896484375e2), SC_(1.9644942654193013404615261696693296857637136915077) }}, 
+      {{ SC_(0.15e2), SC_(0.139249114990234375e2), SC_(0.16528785033278554013130839883609228520308152056974) }}, 
+      {{ SC_(0.15e2), SC_(0.15408351898193359375e2), SC_(0.12099856178243877408751029347936069347933509636106) }}, 
+      {{ SC_(0.15e2), SC_(0.27344074249267578125e2), SC_(0.079691022694574032247089723670813591896281490573891) }}, 
+      {{ SC_(0.15e2), SC_(0.273610286712646484375e2), SC_(0.078046249629867912651444758679935498710568705403403) }}, 
+      {{ SC_(0.15e2), SC_(0.316179637908935546875e2), SC_(-0.010460519917394769425174121410913799646417387547134) }}, 
+      {{ SC_(0.15e2), SC_(0.4073618316650390625e2), SC_(0.11347603407326945313629407529123089116059554399556) }}, 
+      {{ SC_(0.15e2), SC_(0.4175042724609375e2), SC_(0.03317692267860009211739698386597389935196918676208) }}, 
+      {{ SC_(0.15e2), SC_(0.452895965576171875e2), SC_(-0.011793953947705893245754928391862932467378103199865) }}, 
+      {{ SC_(0.15e2), SC_(0.45668792724609375e2), SC_(0.028981536155469619614980839219157323334084044840107) }}, 
+      {{ SC_(0.15e2), SC_(0.48443389892578125e2), SC_(0.028446048676193880517371561148424339556742967129028) }}, 
+      {{ SC_(0.18e2), SC_(0.48770198822021484375e1), SC_(61489404.477273245667437498447835355562204180663089) }}, 
+      {{ SC_(0.18e2), SC_(0.6349340915679931640625e1), SC_(510003.17843817904699802720469210309960596491625674) }}, 
+      {{ SC_(0.18e2), SC_(0.677385044097900390625e1), SC_(160697.43596637300216193497452216016062544479253072) }}, 
+      {{ SC_(0.18e2), SC_(0.941909885406494140625e1), SC_(548.39265176990747465862972116972361534193118446593) }}, 
+      {{ SC_(0.18e2), SC_(0.110517024993896484375e2), SC_(41.903752779375757410402188053276499516073327778915) }}, 
+      {{ SC_(0.18e2), SC_(0.139249114990234375e2), SC_(1.4298082292404496613615935878751772767157379746081) }}, 
+      {{ SC_(0.18e2), SC_(0.15408351898193359375e2), SC_(0.38094854192456337919553054511829661425569727731157) }}, 
+      {{ SC_(0.18e2), SC_(0.27344074249267578125e2), SC_(-0.029721010088200256399591551673655064255330581215767) }}, 
+      {{ SC_(0.18e2), SC_(0.273610286712646484375e2), SC_(-0.028072703131498673594780453199513773112042321400196) }}, 
+      {{ SC_(0.18e2), SC_(0.316179637908935546875e2), SC_(-0.00023901575251688605208583560833464109956416747994429) }}, 
+      {{ SC_(0.18e2), SC_(0.4073618316650390625e2), SC_(-0.11839490191618530482818106654764624779374885038387) }}, 
+      {{ SC_(0.18e2), SC_(0.4175042724609375e2), SC_(-0.069347614372438511573888068819635203849826313252682) }}, 
+      {{ SC_(0.18e2), SC_(0.452895965576171875e2), SC_(0.059730519514700666103251443517585969183359305233517) }}, 
+      {{ SC_(0.18e2), SC_(0.45668792724609375e2), SC_(0.023109881423974345171115075245556454652055923022744) }}, 
+      {{ SC_(0.18e2), SC_(0.48443389892578125e2), SC_(-0.078056207456894244223013538407624819214242782788305) }}, 
+      {{ SC_(0.21e2), SC_(0.48770198822021484375e1), SC_(32426551518.894051285463013148095286317045026076992) }}, 
+      {{ SC_(0.21e2), SC_(0.6349340915679931640625e1), SC_(118218969.61184147928069788088763566979953965101345) }}, 
+      {{ SC_(0.21e2), SC_(0.677385044097900390625e1), SC_(30357038.501635637985496998943515026355790836656393) }}, 
+      {{ SC_(0.21e2), SC_(0.941909885406494140625e1), SC_(35456.563664501714282677463457898030749419225629776) }}, 
+      {{ SC_(0.21e2), SC_(0.110517024993896484375e2), SC_(1567.4125644098158392861721296189576573724930738037) }}, 
+      {{ SC_(0.21e2), SC_(0.139249114990234375e2), SC_(23.310752295161508394556961246244398071106143803009) }}, 
+      {{ SC_(0.21e2), SC_(0.15408351898193359375e2), SC_(4.3249550054841060326583392244203824334951113536241) }}, 
+      {{ SC_(0.21e2), SC_(0.27344074249267578125e2), SC_(-0.06968050648178237714673167082777474372734772445624) }}, 
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+      {{ SC_(-0.45e2), SC_(0.316179637908935546875e2), SC_(-442.20546817943409312426292528886668861618504431741) }}, 
+      {{ SC_(-0.45e2), SC_(0.4073618316650390625e2), SC_(-0.28228421314539279160628746389504552227153533768146) }}, 
+      {{ SC_(-0.45e2), SC_(0.4175042724609375e2), SC_(-0.16000300625233986775481590043192514396457873354516) }}, 
+      {{ SC_(-0.45e2), SC_(0.452895965576171875e2), SC_(-0.057231962290387109238731129148921559725799147998496) }}, 
+      {{ SC_(-0.45e2), SC_(0.45668792724609375e2), SC_(-0.058252022623339984507829779588426189048862620281189) }}, 
+      {{ SC_(-0.45e2), SC_(0.48443389892578125e2), SC_(-0.071183141732921385630773244674279719514795336041612) }}, 
+      {{ SC_(-0.48e2), SC_(0.48770198822021484375e1), SC_(239522804322893748319138034551047145275789.59974224) }}, 
+      {{ SC_(-0.48e2), SC_(0.6349340915679931640625e1), SC_(633761731337958689992254732836509014.5498517746032) }}, 
+      {{ SC_(-0.48e2), SC_(0.677385044097900390625e1), SC_(27357238520963102125309576744667666.363300351401482) }}, 
+      {{ SC_(-0.48e2), SC_(0.941909885406494140625e1), SC_(3288814657352135263627844511.2333600813675095369837) }}, 
+      {{ SC_(-0.48e2), SC_(0.110517024993896484375e2), SC_(1549742039352820886974060.3190714284655739926493718) }}, 
+      {{ SC_(-0.48e2), SC_(0.139249114990234375e2), SC_(27161074177867080159.469660549620941382353430766586) }}, 
+      {{ SC_(-0.48e2), SC_(0.15408351898193359375e2), SC_(238916331621456340.65432311640997088065900397861155) }}, 
+      {{ SC_(-0.48e2), SC_(0.27344074249267578125e2), SC_(2314888.4958806745629333835711192432287758316461507) }}, 
+      {{ SC_(-0.48e2), SC_(0.273610286712646484375e2), SC_(2257224.1679332711454029660320148577090226354529857) }}, 
+      {{ SC_(-0.48e2), SC_(0.316179637908935546875e2), SC_(7789.7419442918626296378651092715214256586181141926) }}, 
+      {{ SC_(-0.48e2), SC_(0.4073618316650390625e2), SC_(1.6743462295916778715636314008207178423626071094632) }}, 
+      {{ SC_(-0.48e2), SC_(0.4175042724609375e2), SC_(0.84969906096968362082642019200637971882884732293335) }}, 
+      {{ SC_(-0.48e2), SC_(0.452895965576171875e2), SC_(0.11278671656985116240884620256968696962764469071367) }}, 
+      {{ SC_(-0.48e2), SC_(0.45668792724609375e2), SC_(0.095078000040189495106936435411946264505165465416578) }}, 
+      {{ SC_(-0.48e2), SC_(0.48443389892578125e2), SC_(0.055062921732975958664266463964777750754001901274629) }}, 
+      {{ SC_(-0.51e2), SC_(0.48770198822021484375e1), SC_(-2049587659777558411382317923670496261583806542.493) }}, 
+      {{ SC_(-0.51e2), SC_(0.6349340915679931640625e1), SC_(-2445662164833856435631550255588074712252.7787749918) }}, 
+      {{ SC_(-0.51e2), SC_(0.677385044097900390625e1), SC_(-86796605852598653796484179209256273156.253707461952) }}, 
+      {{ SC_(-0.51e2), SC_(0.941909885406494140625e1), SC_(-3831606243141839102073334951299.4701624472926032508) }}, 
+      {{ SC_(-0.51e2), SC_(0.110517024993896484375e2), SC_(-1106493595140034197852895923.9584737671557915697202) }}, 
+      {{ SC_(-0.51e2), SC_(0.139249114990234375e2), SC_(-9483467934688543751821.1137053292897138412310640169) }}, 
+      {{ SC_(-0.51e2), SC_(0.15408351898193359375e2), SC_(-60738635966410164385.958394741410769406835938636865) }}, 
+      {{ SC_(-0.51e2), SC_(0.27344074249267578125e2), SC_(-88424622.376034322983107041268281421004180860038753) }}, 
+      {{ SC_(-0.51e2), SC_(0.273610286712646484375e2), SC_(-86031981.243325241428625701075048702697378800248637) }}, 
+      {{ SC_(-0.51e2), SC_(0.316179637908935546875e2), SC_(-174400.37651200557082226548445824464332272001897389) }}, 
+      {{ SC_(-0.51e2), SC_(0.4073618316650390625e2), SC_(-12.946971229042316120764442921458399845772849822588) }}, 
+      {{ SC_(-0.51e2), SC_(0.4175042724609375e2), SC_(-5.8742140283607909770485379763421722194017038516076) }}, 
+      {{ SC_(-0.51e2), SC_(0.452895965576171875e2), SC_(-0.53428720443828699337032810544888204576810977989968) }}, 
+      {{ SC_(-0.51e2), SC_(0.45668792724609375e2), SC_(-0.42592959561863366613058593411801927675297445385356) }}, 
+      {{ SC_(-0.51e2), SC_(0.48443389892578125e2), SC_(-0.098276023559531896826463662674167711540316451897657) }}, 
+      {{ SC_(-0.54e2), SC_(0.48770198822021484375e1), SC_(20905232114169109167897938189126912891970672725780.) }}, 
+      {{ SC_(-0.54e2), SC_(0.6349340915679931640625e1), SC_(11255611402596222741806443152512714449896034.95219) }}, 
+      {{ SC_(-0.54e2), SC_(0.677385044097900390625e1), SC_(328484211508316631140190398742844071477057.53311607) }}, 
+      {{ SC_(-0.54e2), SC_(0.941909885406494140625e1), SC_(5332364035387341126441890302814550.845507841895594) }}, 
+      {{ SC_(-0.54e2), SC_(0.110517024993896484375e2), SC_(944771189815878803007600403368.88711953482139956825) }}, 
+      {{ SC_(-0.54e2), SC_(0.139249114990234375e2), SC_(3969726457350851108670819.0270483967952145392521967) }}, 
+      {{ SC_(-0.54e2), SC_(0.15408351898193359375e2), SC_(18541154623928634844579.547640967624705965729178149) }}, 
+      {{ SC_(-0.54e2), SC_(0.27344074249267578125e2), SC_(4144817285.7784820213261562080665118413906287256562) }}, 
+      {{ SC_(-0.54e2), SC_(0.273610286712646484375e2), SC_(4023965578.8512166042035503785698368524454260668606) }}, 
+      {{ SC_(-0.54e2), SC_(0.316179637908935546875e2), SC_(4857254.3742754162567243110228728128894050129680029) }}, 
+      {{ SC_(-0.54e2), SC_(0.4073618316650390625e2), SC_(129.89939453279762160168461742626340596331738244806) }}, 
+      {{ SC_(-0.54e2), SC_(0.4175042724609375e2), SC_(52.754642545813458576257416292629942980318201317708) }}, 
+      {{ SC_(-0.54e2), SC_(0.452895965576171875e2), SC_(3.2987655306543891212696806805571326443655047812012) }}, 
+      {{ SC_(-0.54e2), SC_(0.45668792724609375e2), SC_(2.5329424546885397623237023579281554373385389203592) }}, 
+      {{ SC_(-0.54e2), SC_(0.48443389892578125e2), SC_(0.43686549121581194580641150930324084070959640013132) }}, 
+      {{ SC_(-0.57e2), SC_(0.48770198822021484375e1), SC_(-2.5169620918755273734751531423307576059487175279655e+53) }}, 
+      {{ SC_(-0.57e2), SC_(0.6349340915679931640625e1), SC_(-61174688555597945848882268589437960109494141523.722) }}, 
+      {{ SC_(-0.57e2), SC_(0.677385044097900390625e1), SC_(-1468327769614117292538317982499132738351648371.0919) }}, 
+      {{ SC_(-0.57e2), SC_(0.941909885406494140625e1), SC_(-8775550580287280317417400764353784961.2905042914466) }}, 
+      {{ SC_(-0.57e2), SC_(0.110517024993896484375e2), SC_(-954844116271064617066023153137696.40337364841548845) }}, 
+      {{ SC_(-0.57e2), SC_(0.139249114990234375e2), SC_(-1971019683890416712446520517.8326914674121514444488) }}, 
+      {{ SC_(-0.57e2), SC_(0.15408351898193359375e2), SC_(-6722219396128901574730218.8067982561390314098778667) }}, 
+      {{ SC_(-0.57e2), SC_(0.27344074249267578125e2), SC_(-234893166288.30075812707849294929137851408290558752) }}, 
+      {{ SC_(-0.57e2), SC_(0.273610286712646484375e2), SC_(-227560854653.85630205561022254001943293553067305038) }}, 
+      {{ SC_(-0.57e2), SC_(0.316179637908935546875e2), SC_(-165348515.80872034084037746268766135137511007672989) }}, 
+      {{ SC_(-0.57e2), SC_(0.4073618316650390625e2), SC_(-1653.302868841762906988170344844615332445062274303) }}, 
+      {{ SC_(-0.57e2), SC_(0.4175042724609375e2), SC_(-604.06199987707091212985973850451313161553226079994) }}, 
+      {{ SC_(-0.57e2), SC_(0.452895965576171875e2), SC_(-26.147826903085700377751404608708294778930527661864) }}, 
+      {{ SC_(-0.57e2), SC_(0.45668792724609375e2), SC_(-19.308053041721125835516802702079181838332215102344) }}, 
+      {{ SC_(-0.57e2), SC_(0.48443389892578125e2), SC_(-2.5283615374731968791601022506604160830005801823799) }}, 
+      {{ SC_(-0.6e2), SC_(0.48770198822021484375e1), SC_(3.5460365231745721606669570215996512793241495164453e+57) }}, 
+      {{ SC_(-0.6e2), SC_(0.6349340915679931640625e1), SC_(3.8921264262571733782239747560313526684108210623487e+50) }}, 
+      {{ SC_(-0.6e2), SC_(0.677385044097900390625e1), SC_(7684237767558382594304235657570772453674248757118.3) }}, 
+      {{ SC_(-0.6e2), SC_(0.941909885406494140625e1), SC_(16925416951539066399686670852829412815863.412431411) }}, 
+      {{ SC_(-0.6e2), SC_(0.110517024993896484375e2), SC_(1131875640030290021946077924988533695.7888332928356) }}, 
+      {{ SC_(-0.6e2), SC_(0.139249114990234375e2), SC_(1149875928909540701676477111822.3170039080211561671) }}, 
+      {{ SC_(-0.6e2), SC_(0.15408351898193359375e2), SC_(2866796552399774210995844116.7096924369139910645819) }}, 
+      {{ SC_(-0.6e2), SC_(0.27344074249267578125e2), SC_(15891355189739.495516567349164999419111229531478334) }}, 
+      {{ SC_(-0.6e2), SC_(0.273610286712646484375e2), SC_(15363127336068.368075911095109876542431338831991157) }}, 
+      {{ SC_(-0.6e2), SC_(0.316179637908935546875e2), SC_(6779161464.8028951527640884369288557214558713468535) }}, 
+      {{ SC_(-0.6e2), SC_(0.4073618316650390625e2), SC_(26113.831472455968890083544404266110113626724773258) }}, 
+      {{ SC_(-0.6e2), SC_(0.4175042724609375e2), SC_(8623.033736775565340846565423848796418156287767396) }}, 
+      {{ SC_(-0.6e2), SC_(0.452895965576171875e2), SC_(262.71208466116252796487792402891053270786603888051) }}, 
+      {{ SC_(-0.6e2), SC_(0.45668792724609375e2), SC_(186.83227369709377348524356398249111029234112960347) }}, 
+      {{ SC_(-0.6e2), SC_(0.48443389892578125e2), SC_(18.589647091617037033086402220922012445990916760661) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_yv_data.ipp b/src/boost/libs/math/test/bessel_yv_data.ipp
new file mode 100644
index 00000000..83f30d2d
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yv_data.ipp
@@ -0,0 +1,441 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 432> bessel_yv_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.177219114266335964202880859375e-2), SC_(-0.4109981080896677237358777348659577384814e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22177286446094512939453125e-2), SC_(-0.3967198166482792888587309535339999462266e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.7444499991834163665771484375e-2), SC_(-0.3196174808457488271204616814902805588745e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1433600485324859619140625e-1), SC_(-0.277886401743182085883175930163269197664e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1760916970670223236083984375e-1), SC_(-0.2647863781670063492437517931273354439201e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6152711808681488037109375e-1), SC_(-0.1849304044017019356004789772749790770502e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.11958599090576171875e0), SC_(-0.1421209575863162389893134075657579819718e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.15262925624847412109375e0), SC_(-0.1262161021028632624881669027784829995884e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.408089816570281982421875e0), SC_(-0.5944072046497630295250342068284430797962e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6540834903717041015625e0), SC_(-0.2453277969150709954915717817184428440924e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1097540378570556640625e1), SC_(0.1584374949163769422822208482661516201397e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.30944411754608154296875e1), SC_(0.3458497563774182491234075001630772667854e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.51139926910400390625e1), SC_(-0.3227704013798722509157489558679982720248e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.95070552825927734375e1), SC_(0.1703157314350648605712543095319781057303e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.24750102996826171875e2), SC_(-0.1480199026826370992952794039024870144586e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.637722015380859375e2), SC_(0.1495108590261458231741268546248788758226e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1252804412841796875e3), SC_(-0.6570327554025865783732578959902760519929e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.25554705810546875e3), SC_(-0.1424286729418854798832322396053032304441e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.503011474609375e3), SC_(-0.1488793551072535726513345519376745937703e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.10074598388671875e4), SC_(0.2459116676878273669207049701272585713077e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1185395751953125e4), SC_(-0.5216296486026963890192536381882756251574e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.353451806640625e4), SC_(0.7150321510933910509861478052167676486744e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.80715478515625e4), SC_(-0.7217584852080900819222715241239866307669e-4) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1622925e5), SC_(-0.5289900963274037297853946955886625205773e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3206622265625e5), SC_(0.3201736535368103742253839832309804984043e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3636794921875e5), SC_(0.3530160743525716867126510667470988391367e-3) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.177219114266335964202880859375e-2), SC_(-0.4110719287432131383209663091223613660449e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.22177286446094512939453125e-2), SC_(-0.3967931677865958623227899442296989234961e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.7444499991834163665771484375e-2), SC_(-0.3196888768021427112833222816547069531807e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1433600485324859619140625e-1), SC_(-0.2779570979763027030915138623734707116309e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1760916970670223236083984375e-1), SC_(-0.2648568990595505812071805953119049709201e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6152711808681488037109375e-1), SC_(-0.185000202041826350471111738892195254951e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.11958599090576171875e0), SC_(-0.1421904434134942202214431845401629010964e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.15262925624847412109375e0), SC_(-0.1262854140408887233259773811621052871948e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.408089816570281982421875e0), SC_(-0.5950761265617472237995217111777038762135e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6540834903717041015625e0), SC_(-0.2459534859171060177043599079460653627876e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1097540378570556640625e1), SC_(0.1579332201794321120135728809601595120035e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.30944411754608154296875e1), SC_(0.3460521593933925495064774929401352783066e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.51139926910400390625e1), SC_(-0.3226720162699480428923607985495542415611e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.95070552825927734375e1), SC_(0.1704518545616096824583473906088353974798e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.24750102996826171875e2), SC_(-0.1480630443547165728353407967940434766385e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.637722015380859375e2), SC_(0.1488194766429228836377915641199018452658e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1252804412841796875e3), SC_(-0.6572261100873119967302664606455129430061e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.25554705810546875e3), SC_(-0.142093855992607823112630880080107228544e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.503011474609375e3), SC_(-0.1491054423538811528779378781658535282739e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.10074598388671875e4), SC_(0.2458751210966411371396701227739563430579e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1185395751953125e4), SC_(-0.5200492855806017431912763481277953331404e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.353451806640625e4), SC_(0.7158268136941132273892772334045520934666e-2) }}, 
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+      {{ SC_(0.10074598388671875e4), SC_(0.80715478515625e4), SC_(-0.7420503792165366240145846571768477365506e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.1622925e5), SC_(-0.1795717524473915811452628563407404683787e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.3206622265625e5), SC_(0.7500534979641494608228235889183901707366e-3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.3636794921875e5), SC_(0.3051253358553692403837737104117441878866e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.10074598388671875e4), SC_(-0.7251757054382535422878260094266093685031e29) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.1185395751953125e4), SC_(-0.7320587935179758776740758943706909907242e-1) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.353451806640625e4), SC_(0.4795852538068195975343600795948509285902e-3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.80715478515625e4), SC_(0.1749093092873678394701882014413670671251e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.1622925e5), SC_(0.4162877531169379039027191426399181611799e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.3206622265625e5), SC_(-0.3200560495047506921416083730251596135541e-3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.3636794921875e5), SC_(-0.4176563093033758974497368789398642132897e-2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_yv_prime_data.ipp b/src/boost/libs/math/test/bessel_yv_prime_data.ipp
new file mode 100644
index 00000000..64097cc9
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yv_prime_data.ipp
@@ -0,0 +1,871 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 864> bessel_yv_prime_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.177219114266335964202880859375e-2), SC_(359.25306691468182462382237111287002162553866747579) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22177286446094512939453125e-2), SC_(287.08013716324049922227602244564319388641879278396) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.7444499991834163665771484375e-2), SC_(85.531475792801076416765903757627138355150815768381) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1433600485324859619140625e-1), SC_(44.43035679632993650721736060153716759038322379723) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1760916970670223236083984375e-1), SC_(36.179654804596195073472668375517619276826453027816) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6152711808681488037109375e-1), SC_(10.413780184730641117297885590055203070917628378544) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.11958599090576171875e0), SC_(5.4277607095532821471185956360419186047556753959012) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.15262925624847412109375e0), SC_(4.2920266800823007910164892097244973768547846351371) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.408089816570281982421875e0), SC_(1.7509153497269689499030148640443708410615525473524) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6540834903717041015625e0), SC_(1.1712794472938520666850107533401801762567425673398) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1097540378570556640625e1), SC_(0.70138648105516834583393514421333924350925740962504) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.30944411754608154296875e1), SC_(-0.34749828407729174130100909185824276870624530573172) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.51139926910400390625e1), SC_(-0.10986116293007483043606802975095346477573689745585) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.95070552825927734375e1), SC_(-0.20378601019764953872142029007731936626447427024392) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.24750102996826171875e2), SC_(0.064700725186337701986731085937025374356981361835941) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.637722015380859375e2), SC_(0.098672834379112400010944568868782489693261838065595) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1252804412841796875e3), SC_(0.027913781978643615009047750009636168838479193347638) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.25554705810546875e3), SC_(-0.04780881743198587298231695276364404056179232533175) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.503011474609375e3), SC_(0.032325270488727463019860406722316462375064083905752) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.10074598388671875e4), SC_(0.0052012686169753781931485875545710147005519624143894) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1185395751953125e4), SC_(-0.022577498856801507605595835038635382331015497697766) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.353451806640625e4), SC_(-0.011358296273412421720490300072404002932735855560398) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.80715478515625e4), SC_(-0.0088806977171749850238952666167111790987748939321371) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1622925e5), SC_(0.00335331650999886871984157216400084691169190356345) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3206622265625e5), SC_(-0.0030987860388094542027981684852371310749661034262822) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3636794921875e5), SC_(0.0041689695099571798078503972547393292264317537185944) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.177219114266335964202880859375e-2), SC_(359.26533728538776366509474053133533307586229635913) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.22177286446094512939453125e-2), SC_(287.08921637154798496281292076850380987394085518871) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.7444499991834163665771484375e-2), SC_(85.533146645088550608502277739916424359004343336472) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1433600485324859619140625e-1), SC_(44.43098524576237653184367498965422147553862710847) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1760916970670223236083984375e-1), SC_(36.180112164703042011439433637606469649465975324508) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6152711808681488037109375e-1), SC_(10.413849488813765046067013925290595202964441035058) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.11958599090576171875e0), SC_(5.4278107962203418944781035199372633462886191141604) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.15262925624847412109375e0), SC_(4.2920825538295737959088050162943746783032954850028) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.408089816570281982421875e0), SC_(1.7510517471771296869441766472247915798444928092357) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6540834903717041015625e0), SC_(1.1714932778725264264492038485427581871125406753861) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1097540378570556640625e1), SC_(0.70171347129696306321421648791219764087618145201066) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.30944411754608154296875e1), SC_(-0.34728549175374248702810137805247545330678632309601) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.51139926910400390625e1), SC_(-0.11009752053125087496840861386621624153790113475449) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.95070552825927734375e1), SC_(-0.20367376011493060664075031914622840182372793862664) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.24750102996826171875e2), SC_(0.064597973933861490895674774983095378504990464398256) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.637722015380859375e2), SC_(0.098683815824621789326075155716559154126027874873011) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1252804412841796875e3), SC_(0.027867870127454387792608895641557952520679288199781) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.25554705810546875e3), SC_(-0.047818839046928044568149355329247460363523211579449) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.503011474609375e3), SC_(0.032314865769536025453551159457231378233190509770099) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.10074598388671875e4), SC_(0.0052184792284391194770251514307298821432923503112623) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1185395751953125e4), SC_(-0.022581150607424172490344786625158021348090029161792) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.353451806640625e4), SC_(-0.011353290475374159470937910615557953572808040810715) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.80715478515625e4), SC_(-0.008880746439508476088352237888148520706285994682475) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1622925e5), SC_(0.003349613631518740020185089462548698579892864718393) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.3206622265625e5), SC_(-0.00309654458296089787536174505713483571740660332384) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.3636794921875e5), SC_(0.0041692155869161578021403556938091137539037204390053) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.177219114266335964202880859375e-2), SC_(359.61538516010303429557658299626785767048487215928) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.22177286446094512939453125e-2), SC_(287.3482632934110565450988413586642462415027703712) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.7444499991834163665771484375e-2), SC_(85.580836749038216771643230460325586605437799707848) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1433600485324859619140625e-1), SC_(44.448874749485195727832237621603297382004678832416) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1760916970670223236083984375e-1), SC_(36.193095162394224258170247650816839299131334919513) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.6152711808681488037109375e-1), SC_(10.41547795489898084622114106169838305734284722828) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.11958599090576171875e0), SC_(5.428544467991402442892411572453620791558207454213) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.15262925624847412109375e0), SC_(4.2927869398771675483835338866815905152014836769703) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.408089816570281982421875e0), SC_(1.7525954103110133126427687987590047392024346080671) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.6540834903717041015625e0), SC_(1.1739517773917065091895115133259215128920140054728) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1097540378570556640625e1), SC_(0.70551511286563702949844068537777076253588549797454) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.30944411754608154296875e1), SC_(-0.3447778647140080736625302955544256584154698214685) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.51139926910400390625e1), SC_(-0.11286522881024518833855970957081289522204885907218) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.95070552825927734375e1), SC_(-0.20234971785850488371460924340135923598729438315703) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.24750102996826171875e2), SC_(0.063390298155983207860286527518495960577457577765314) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.637722015380859375e2), SC_(0.098809028954653841294534256159790392315349697927185) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1252804412841796875e3), SC_(0.027328255089583247350619008880283157773769362996017) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.25554705810546875e3), SC_(-0.047934655310875030626250164717877857179974640795257) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.503011474609375e3), SC_(0.03219162386979542860049172297428628386619285510695) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.10074598388671875e4), SC_(0.0054201900281237392214400487682391896688902770907816) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1185395751953125e4), SC_(-0.022623164219523180927407705809901243282181817362125) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.353451806640625e4), SC_(-0.01129415096191462399990818616022695053279134929122) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.80715478515625e4), SC_(-0.0088809931882399207490219045625853338251765939932529) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1622925e5), SC_(0.0033060517162921985094437212052452189059014774971163) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.3206622265625e5), SC_(-0.0030701362389974827696571501159824604578897162969859) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.3636794921875e5), SC_(0.0041719498830685294134638940872532813635403694135636) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.177219114266335964202880859375e-2), SC_(360.66384061259237753668362244272874098606053080663) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.22177286446094512939453125e-2), SC_(288.12434956336918749148381184410998242806714632079) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.7444499991834163665771484375e-2), SC_(85.723960125296433931898348273346093728706850120965) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1433600485324859619140625e-1), SC_(44.502586688687185565689378984302581969399816592778) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1760916970670223236083984375e-1), SC_(36.232057404874933537262424656710203236234671818828) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.6152711808681488037109375e-1), SC_(10.419998917129290157487213633756026253309650723181) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.11958599090576171875e0), SC_(5.4299541104044942149195917045739093203074088673901) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.15262925624847412109375e0), SC_(4.2938751170009501761640512662106951369512572393543) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.408089816570281982421875e0), SC_(1.7544762226506229224129009964489977536109094806026) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.6540834903717041015625e0), SC_(1.1770541874629339256442960271295095388698272685524) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1097540378570556640625e1), SC_(0.71043099666084467317131573557871350821623832343284) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.30944411754608154296875e1), SC_(-0.34144010093943447988580665820071305106009560561805) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.51139926910400390625e1), SC_(-0.11649989459160086125501383673328056886424521236721) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.95070552825927734375e1), SC_(-0.20058383156493147817487315062845002803857807014306) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.24750102996826171875e2), SC_(0.061791708005526098625369433443618222560798057148848) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.637722015380859375e2), SC_(0.098963932512610019724934165680742537835689194246184) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1252804412841796875e3), SC_(0.026613984401818061459950909137074671180828361541644) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.25554705810546875e3), SC_(-0.04808241719353037822485667130892809307081182735904) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.503011474609375e3), SC_(0.032025815263534101023988027811330255550490790798804) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.10074598388671875e4), SC_(0.0056855843265044880392879989690136437111848068412733) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1185395751953125e4), SC_(-0.022676227763002577396052585795844990126249039103109) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.353451806640625e4), SC_(-0.011215012546475940980046233548530189561070550223441) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.80715478515625e4), SC_(-0.0088804035250864756776127960991405171487351624941717) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1622925e5), SC_(0.0032482751451286971731524515398767259243396958750959) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.3206622265625e5), SC_(-0.0030350007829066575702606363618478813226415287101618) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.3636794921875e5), SC_(0.004175125193984142075431036813024989618112709179213) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.177219114266335964202880859375e-2), SC_(361.39885869140428926563450809503978987518553748568) }}, 
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+      {{ SC_(-0.1252804412841796875e3), SC_(0.80715478515625e4), SC_(0.0087846402008567790960595451907553929501383517940439) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.1622925e5), SC_(0.00049400635966328595904587210816203144904291004466221) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.3206622265625e5), SC_(-0.00050551211601910355104251597948766091859715808211562) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.3636794921875e5), SC_(-0.0028321606224831051933457667753745150792068423483548) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.25554705810546875e3), SC_(-0.007419542876595943561206118102461931289478656159302) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.503011474609375e3), SC_(-0.025664328503457286010453238469575264308540938711427) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.10074598388671875e4), SC_(-0.0062267045060275015911110412975034627238501662223391) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.1185395751953125e4), SC_(0.010346705222465791342142235005234520413619356024001) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.353451806640625e4), SC_(0.0015737216406362832957218879171029808283573666980574) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.80715478515625e4), SC_(0.0086954178238511387130531805326295892103131424885212) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.1622925e5), SC_(0.0059876795114625188310669063203330715269983500547108) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.3206622265625e5), SC_(-0.0039268387046749594917957121763691644511316723630028) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.3636794921875e5), SC_(0.0040281937153398713181886730861253869188399153486897) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.503011474609375e3), SC_(-0.011515734275236820828668143441039134675933943442574) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.10074598388671875e4), SC_(-0.019439480098341800814673366562691832471213558168089) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.1185395751953125e4), SC_(-0.021174097195867643939757938843271904387325113584952) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.353451806640625e4), SC_(0.0091512905805963337437024280244577532614685720174285) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.80715478515625e4), SC_(-2.4852061600207231159879566155323077157410992369329e-06) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.1622925e5), SC_(0.0031527029965161190784335345322393725220820961636164) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.3206622265625e5), SC_(0.00010179108699906560722797843767392385793289055305172) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.3636794921875e5), SC_(-0.0017910037003539369964017786582987701717040365613429) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.10074598388671875e4), SC_(-0.0049398782329717876592460550567673509553963200002479) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.1185395751953125e4), SC_(0.016539718467912811678329197894004476623857530631913) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.353451806640625e4), SC_(-0.0029600624556327821316398455606148101916160223845977) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.80715478515625e4), SC_(-0.0066872209878214813981572186345699700655450142149478) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.1622925e5), SC_(-0.0025322018148959744231881914267926504736624063470507) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.3206622265625e5), SC_(0.00019124192154585238406579711362378893608331179461156) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.3636794921875e5), SC_(0.0033860372778232452527323118178415916848865195274708) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.10074598388671875e4), SC_(-14433345412437616512607944029.072647289035551633298) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.1185395751953125e4), SC_(-0.0055141059821012780423227471142113884188743495547959) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.353451806640625e4), SC_(-0.0037578815752865130504932569553495448608719007660249) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.80715478515625e4), SC_(-0.0011475525169852833356693334344777583323934790794988) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.1622925e5), SC_(0.0054358529086944618531913092820724628012685794425012) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.3206622265625e5), SC_(0.001126223979426074413337753504813753247338856879985) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.3636794921875e5), SC_(-0.0038670666868434098582685598198227731719990621720596) }},
+   }};
diff --git a/src/boost/libs/math/test/beta_exp_data.ipp b/src/boost/libs/math/test/beta_exp_data.ipp
new file mode 100644
index 00000000..ce7825f1
--- /dev/null
+++ b/src/boost/libs/math/test/beta_exp_data.ipp
@@ -0,0 +1,362 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 351> beta_exp_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1155631.551635027016649268884796909927277) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1039549.452063747329381617654200841254652) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(923467.3524924676425690820378921903570447) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(715366.9882608199489156088500706918884474) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.216575062950141727924346923828125e-5), SC_(599284.8886895402674421924477675861806454) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(275102.4248866129549503632384850636365051) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(649244.3230419389091055494874477610228104) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.216575062950141727924346923828125e-5), SC_(533162.2234706592346717218748633348329255) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(208979.7596677320047637517666971035319141) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(142857.0944488511634633414470885024340382) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(635967.2966761120408405544283252854891051) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(519885.1971048323697502064131013612391462) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(195702.7333019051790657557774869592595619) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(129580.0680830243894812627999923649303964) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(116303.0417171976400618567245671670493297) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(594458.8435535046961781833034439822035691) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(478376.7439822250699480739314338811953296) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(154194.2801792984055346510144704788292969) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(88071.61496041830983457563965247905141874) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(74794.58859459188997822531683455967562115) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.60085076256655156612396240234375e-4), SC_(33286.13547199056171829186221434157408122) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.1730655412757187150418758392333984375e-5), SC_(586378.651529572636659503110266369369984) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.216575062950141727924346923828125e-5), SC_(470296.5519582930697306370777452683761698) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.72700195232755504548549652099609375e-5), SC_(146114.0881553671010006794541334417041727) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.14000004739500582218170166015625e-4), SC_(79991.42293648792255405447160736354988824) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.17196454791701398789882659912109375e-4), SC_(66714.39657066193835073550620286643916615) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.60085076256655156612396240234375e-4), SC_(25205.94344806645534821918725567217595504) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.000116783194243907928466796875), SC_(17125.75142415007588824659456664464078893) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.1730655412757187150418758392333984375e-5), SC_(584524.843186061699046596661105506295866) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.216575062950141727924346923828125e-5), SC_(468442.7436147821658663815479488360288728) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.72700195232755504548549652099609375e-5), SC_(144260.2798118565930535598166654066443804) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.14000004739500582218170166015625e-4), SC_(78137.6145929779366207198292645775242312) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.17196454791701398789882659912109375e-4), SC_(64860.58822715220034984276283119323639683) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.60085076256655156612396240234375e-4), SC_(23352.13510456004391420247071206624241613) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.000116783194243907928466796875), SC_(15271.94308064806187957915306088879145787) }}, 
+      {{ SC_(0.000149052008055150508880615234375), SC_(0.000149052008055150508880615234375), SC_(13418.13473714855046889923959457185167481) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.1730655412757187150418758392333984375e-5), SC_(580325.0267004741284777720102301507805905) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.216575062950141727924346923828125e-5), SC_(464242.9271291948561701678823852769833447) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.72700195232755504548549652099609375e-5), SC_(140060.4633262723437444763727887594791223) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.14000004739500582218170166015625e-4), SC_(73937.79810739772240919420653098643931922) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.17196454791701398789882659912109375e-4), SC_(60660.77174157390262331984812205981539232) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.60085076256655156612396240234375e-4), SC_(19152.31861900746010982713873615733036615) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.000116783194243907928466796875), SC_(11072.12659512946959154647142760990796737) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.000149052008055150508880615234375), SC_(9218.318251649302932199820676778504299719) }}, 
+      {{ SC_(0.0003985252114944159984588623046875), SC_(0.0003985252114944159984588623046875), SC_(5018.501766299587761063198864612299262498) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.1730655412757187150418758392333984375e-5), SC_(579381.3241429882314787600400195790681276) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.216575062950141727924346923828125e-5), SC_(463299.2245717092103071408953485735740662) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.72700195232755504548549652099609375e-5), SC_(139116.7607687896440448391818012150422867) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.14000004739500582218170166015625e-4), SC_(72994.09554991890720396147618053871852464) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.17196454791701398789882659912109375e-4), SC_(59717.06918409693237354458168673772104752) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.60085076256655156612396240234375e-4), SC_(18208.61606155524405362968798342261554923) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.000116783194243907928466796875), SC_(10128.42403770997637556860033296324003096) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.000149052008055150508880615234375), SC_(8274.615694248432457086724782473929150854) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.0003985252114944159984588623046875), SC_(4074.799209042668601531129156089963301482) }}, 
+      {{ SC_(0.00063875340856611728668212890625), SC_(0.00063875340856611728668212890625), SC_(3131.096651924328003273873888262194585402) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.1730655412757187150418758392333984375e-5), SC_(578748.7693423753941389854751026834812459) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.216575062950141727924346923828125e-5), SC_(462666.6697710968255230523836363548096488) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.72700195232755504548549652099609375e-5), SC_(138484.2059681825683485463067171057570855) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.14000004739500582218170166015625e-4), SC_(72361.5407493188315002241913837983386211) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.17196454791701398789882659912109375e-4), SC_(59084.51438350018134300863405362995980529) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.60085076256655156612396240234375e-4), SC_(17576.0612610031009311452486029621355864) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.000116783194243907928466796875), SC_(9495.869237216800935468654175518891346132) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.000149052008055150508880615234375), SC_(7642.060893788815835400370107084726389137) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.0003985252114944159984588623046875), SC_(3442.244408842457181186564692494576592715) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.00063875340856611728668212890625), SC_(2498.541851973839877538873278485733894526) }}, 
+      {{ SC_(0.0010718167759478092193603515625), SC_(0.0010718167759478092193603515625), SC_(1865.987052473361599093122986045939836842) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.1730655412757187150418758392333984375e-5), SC_(578146.6868265927030609172756375022129408) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.216575062950141727924346923828125e-5), SC_(462064.5872553161695931215518112441517803) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.72700195232755504548549652099609375e-5), SC_(137882.1234524257874475626971925335633952) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.14000004739500582218170166015625e-4), SC_(71759.45823359352964615332870940784891666) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.17196454791701398789882659912109375e-4), SC_(58482.4318677898305824223777438873245987) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.60085076256655156612396240234375e-4), SC_(16973.97874549335243903972140214316734591) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.000116783194243907928466796875), SC_(8893.78672197223076504620210425011585704) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.000149052008055150508880615234375), SC_(7039.978378695160036028218013910220966586) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.0003985252114944159984588623046875), SC_(2840.161894915349206097759718325761099235) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.00063875340856611728668212890625), SC_(1896.459339169739784663132403554328985513) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.0010718167759478092193603515625), SC_(1263.904541692959035604171522556797270816) }}, 
+      {{ SC_(0.00302191521041095256805419921875), SC_(0.00302191521041095256805419921875), SC_(661.8220400131266810689999131402027641628) }}, 
+      {{ SC_(0.00499413348734378814697265625), SC_(0.1730655412757187150418758392333984375e-5), SC_(578016.0025685181268331499857959484326202) }}, 
+      {{ SC_(0.00499413348734378814697265625), SC_(0.216575062950141727924346923828125e-5), SC_(461933.9029972436470789739437915137396688) }}, 
+      {{ SC_(0.00499413348734378814697265625), SC_(0.72700195232755504548549652099609375e-5), SC_(137751.439194377357760353694453171044616) }}, 
+      {{ SC_(0.00499413348734378814697265625), SC_(0.14000004739500582218170166015625e-4), SC_(71628.77397557686617053038110269144726432) }}, 
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+      {{ SC_(35.515575408935546875), SC_(1.1576130390167236328125), SC_(0.01488854601694810064869001826934615844448) }}, 
+      {{ SC_(35.515575408935546875), SC_(3.451677799224853515625), SC_(0.1249353030883651639444207203869412646859e-4) }}, 
+      {{ SC_(35.515575408935546875), SC_(7.88237094879150390625), SC_(0.1169663515742618634451758579426537250388e-8) }}, 
+      {{ SC_(35.515575408935546875), SC_(15.848876953125), SC_(0.1250851178791656557811931908536049655477e-13) }}, 
+      {{ SC_(35.515575408935546875), SC_(31.314670562744140625), SC_(0.5365332615381537353158263927841062696094e-20) }}, 
+      {{ SC_(35.515575408935546875), SC_(35.515575408935546875), SC_(0.2474098388705327630350038282012894724267e-21) }}
+   } };
+
+
+
+
diff --git a/src/boost/libs/math/test/beta_med_data.ipp b/src/boost/libs/math/test/beta_med_data.ipp
new file mode 100644
index 00000000..96325315
--- /dev/null
+++ b/src/boost/libs/math/test/beta_med_data.ipp
@@ -0,0 +1,1837 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1830> beta_med_data = { {
+      {{ SC_(0.4883005917072296142578125), SC_(0.4883005917072296142578125), SC_(3.245912809500479157065104747353807392371) }}, 
+      {{ SC_(3.5808107852935791015625), SC_(0.4883005917072296142578125), SC_(1.007653173802923954909901438393379243537) }}, 
+      {{ SC_(3.5808107852935791015625), SC_(3.5808107852935791015625), SC_(0.01354763979296020361276499134253466025558) }}, 
+      {{ SC_(9.76306438446044921875), SC_(0.4883005917072296142578125), SC_(0.6040068168955603700205507368871869179054) }}, 
+      {{ SC_(9.76306438446044921875), SC_(3.5808107852935791015625), SC_(0.0006768556385450819292424677664459339662542) }}, 
+      {{ SC_(9.76306438446044921875), SC_(9.76306438446044921875), SC_(0.1522016641487441392375569251478701938958e-5) }}, 
+      {{ SC_(10.9950771331787109375), SC_(0.4883005917072296142578125), SC_(0.5691374355039684505283786467923310741394) }}, 
+      {{ SC_(10.9950771331787109375), SC_(3.5808107852935791015625), SC_(0.0004623291188878679140702882645611609028529) }}, 
+      {{ SC_(10.9950771331787109375), SC_(9.76306438446044921875), SC_(0.6525428759744388549684590935535556520911e-6) }}, 
+      {{ SC_(10.9950771331787109375), SC_(10.9950771331787109375), SC_(0.2595645778453125149921775190075494972069e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(0.4883005917072296142578125), SC_(0.5625252582720929656922435362566677067416) }}, 
+      {{ SC_(11.2553272247314453125), SC_(3.5808107852935791015625), SC_(0.0004286883639355158965650882249453525366545) }}, 
+      {{ SC_(11.2553272247314453125), SC_(9.76306438446044921875), SC_(0.5507764130648082456092816216454348231704e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(10.9950771331787109375), SC_(0.215765220969841623426272969427339892725e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(11.2553272247314453125), SC_(0.1787990823319435797792105752447442768941e-6) }}, 
+      {{ SC_(12.70741176605224609375), SC_(0.4883005917072296142578125), SC_(0.5294907274516666109456973690863173323156) }}, 
+      {{ SC_(12.70741176605224609375), SC_(3.5808107852935791015625), SC_(0.0002889727352835592358365667915148162805071) }}, 
+      {{ SC_(12.70741176605224609375), SC_(9.76306438446044921875), SC_(0.2252927431029049671249995618445578512183e-6) }}, 
+      {{ SC_(12.70741176605224609375), SC_(10.9950771331787109375), SC_(0.8131970313223237520922385412367530078239e-7) }}, 
+      {{ SC_(12.70741176605224609375), SC_(11.2553272247314453125), SC_(0.6627020372930043647557276756580896208093e-7) }}, 
+      {{ SC_(12.70741176605224609375), SC_(12.70741176605224609375), SC_(0.2245035027874900533178284692921746500427e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(0.4883005917072296142578125), SC_(0.5127159488422374707026291329594215821195) }}, 
+      {{ SC_(13.55634593963623046875), SC_(3.5808107852935791015625), SC_(0.0002338050540339516890899323768977469084643) }}, 
+      {{ SC_(13.55634593963623046875), SC_(9.76306438446044921875), SC_(0.1385641428853223512568009007531028899044e-6) }}, 
+      {{ SC_(13.55634593963623046875), SC_(10.9950771331787109375), SC_(0.4779208342424526648121034774140947601376e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(11.2553272247314453125), SC_(0.3858688985561532847951616400183530491078e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(12.70741176605224609375), SC_(0.1243334579233090577547671408856256594842e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(13.55634593963623046875), SC_(0.6695819170364036861651031065079190250677e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(0.4883005917072296142578125), SC_(0.5010725503977163404563348242929462964601) }}, 
+      {{ SC_(14.19721508026123046875), SC_(3.5808107852935791015625), SC_(0.0002008402390975031689923237986077084533841) }}, 
+      {{ SC_(14.19721508026123046875), SC_(9.76306438446044921875), SC_(0.9753123839573875998586188687154385562149e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(10.9950771331787109375), SC_(0.325396200950697967725364011405694079166e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(11.2553272247314453125), SC_(0.2609397484154104517486373559610576982077e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(12.70741176605224609375), SC_(0.8104897951369500255523549462354045969225e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(13.55634593963623046875), SC_(0.4276119047726022319466243593050360444817e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(14.19721508026123046875), SC_(0.2689992929599026714275097270923824879089e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(0.4883005917072296142578125), SC_(0.475600932703444822636860975438244705831) }}, 
+      {{ SC_(15.76973247528076171875), SC_(3.5808107852935791015625), SC_(0.0001418728926781729275649568751766718949223) }}, 
+      {{ SC_(15.76973247528076171875), SC_(9.76306438446044921875), SC_(0.4336326752543966160912379066984549678452e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(10.9950771331787109375), SC_(0.1338244910537290013872585434554199633933e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(11.2553272247314453125), SC_(0.1056140308679468515555449880362724923627e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(12.70741176605224609375), SC_(0.3009132692253922032267871346669237418265e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(13.55634593963623046875), SC_(0.1512669863598730427313876780451595800786e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(14.19721508026123046875), SC_(0.918353523266471209411262276890588115837e-9) }}, 
+      {{ SC_(15.76973247528076171875), SC_(15.76973247528076171875), SC_(0.2882767813027467848960413793272553398391e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(0.4883005917072296142578125), SC_(0.4565218812244720449676057777369567274854) }}, 
+      {{ SC_(17.126956939697265625), SC_(3.5808107852935791015625), SC_(0.0001077656194412027230279434065555746466143) }}, 
+      {{ SC_(17.126956939697265625), SC_(9.76306438446044921875), SC_(0.2267616977041493737061190673358616637022e-7) }}, 
+      {{ SC_(17.126956939697265625), SC_(10.9950771331787109375), SC_(0.6567383488365389895737498469534509899371e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(11.2553272247314453125), SC_(0.5115778604579878982282382763211068891719e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(12.70741176605224609375), SC_(0.1358240483817446693334902305742392032884e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(13.55634593963623046875), SC_(0.6562503597342494326172080038282840625689e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(14.19721508026123046875), SC_(0.3869619725572160229261125982995702539806e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(15.76973247528076171875), SC_(0.113368810788831205921628103707632404292e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(17.126956939697265625), SC_(0.4211904380955363652677610570193848736124e-10) }}, 
+      {{ SC_(17.394779205322265625), SC_(0.4883005917072296142578125), SC_(0.4530251392082678136392746003508150955157) }}, 
+      {{ SC_(17.394779205322265625), SC_(3.5808107852935791015625), SC_(0.0001023208443499526530037973037899364285962) }}, 
+      {{ SC_(17.394779205322265625), SC_(9.76306438446044921875), SC_(0.2005354902961112804072043023442896551258e-7) }}, 
+      {{ SC_(17.394779205322265625), SC_(10.9950771331787109375), SC_(0.5737643064679879701819734148551932728972e-8) }}, 
+      {{ SC_(17.394779205322265625), SC_(11.2553272247314453125), SC_(0.4458281433716227719378477553190576945752e-8) }}, 
+      {{ SC_(17.394779205322265625), SC_(12.70741176605224609375), SC_(0.1167764940936604548122803636068842045715e-8) }}, 
+      {{ SC_(17.394779205322265625), SC_(13.55634593963623046875), SC_(0.5599447115103713063560079265124538962881e-9) }}, 
+      {{ SC_(17.394779205322265625), SC_(14.19721508026123046875), SC_(0.3283303102000759769499915328513568628178e-9) }}, 
+      {{ SC_(17.394779205322265625), SC_(15.76973247528076171875), SC_(0.9492349452847812246661303626609556094242e-10) }}, 
+      {{ SC_(17.394779205322265625), SC_(17.126956939697265625), SC_(0.348822657233525373086455562928279206484e-10) }}, 
+      {{ SC_(17.394779205322265625), SC_(17.394779205322265625), SC_(0.2882805174446943738297455251918170211958e-10) }}, 
+      {{ SC_(18.8463134765625), SC_(0.4883005917072296142578125), SC_(0.4353971044081953663699145675473451692464) }}, 
+      {{ SC_(18.8463134765625), SC_(3.5808107852935791015625), SC_(0.7821907282155094140409267653485080042403e-4) }}, 
+      {{ SC_(18.8463134765625), SC_(9.76306438446044921875), SC_(0.1057326607413087663065202876489554338397e-7) }}, 
+      {{ SC_(18.8463134765625), SC_(10.9950771331787109375), SC_(0.2837956463158533935066785198610085243411e-8) }}, 
+      {{ SC_(18.8463134765625), SC_(11.2553272247314453125), SC_(0.2176364981562781990024053280982715425444e-8) }}, 
+      {{ SC_(18.8463134765625), SC_(12.70741176605224609375), SC_(0.5308686415267842780183531434236061793759e-9) }}, 
+      {{ SC_(18.8463134765625), SC_(13.55634593963623046875), SC_(0.2445522707205327599339640190943446349336e-9) }}, 
+      {{ SC_(18.8463134765625), SC_(14.19721508026123046875), SC_(0.1392224976008039575865521517870553781522e-9) }}, 
+      {{ SC_(18.8463134765625), SC_(15.76973247528076171875), SC_(0.3752833192186647967829389243731752462616e-10) }}, 
+      {{ SC_(18.8463134765625), SC_(17.126956939697265625), SC_(0.1301581966373817837525897476236998994169e-10) }}, 
+      {{ SC_(18.8463134765625), SC_(17.394779205322265625), SC_(0.1063754790511525096235331936144872215005e-10) }}, 
+      {{ SC_(18.8463134765625), SC_(18.8463134765625), SC_(0.3700501299436030344449165267036021201616e-11) }}, 
+      {{ SC_(21.200313568115234375), SC_(0.4883005917072296142578125), SC_(0.4107768271075117698432781871115142016384) }}, 
+      {{ SC_(21.200313568115234375), SC_(3.5808107852935791015625), SC_(0.5260236463693837724043412635292001143626e-4) }}, 
+      {{ SC_(21.200313568115234375), SC_(9.76306438446044921875), SC_(0.4067793964122211133967440637695915061844e-8) }}, 
+      {{ SC_(21.200313568115234375), SC_(10.9950771331787109375), SC_(0.9908560320269199376579063422647299651256e-9) }}, 
+      {{ SC_(21.200313568115234375), SC_(11.2553272247314453125), SC_(0.7448210759033639250158262503146533595815e-9) }}, 
+      {{ SC_(21.200313568115234375), SC_(12.70741176605224609375), SC_(0.1629899073274693321102642373894998473147e-9) }}, 
+      {{ SC_(21.200313568115234375), SC_(13.55634593963623046875), SC_(0.7062476240846740692309115737284750125444e-10) }}, 
+      {{ SC_(21.200313568115234375), SC_(14.19721508026123046875), SC_(0.384300871793649706080030568271428258228e-10) }}, 
+      {{ SC_(21.200313568115234375), SC_(15.76973247528076171875), SC_(0.9304852552665854497602936949670054979977e-11) }}, 
+      {{ SC_(21.200313568115234375), SC_(17.126956939697265625), SC_(0.2952793062809893052321087076875734485069e-11) }}, 
+      {{ SC_(21.200313568115234375), SC_(17.394779205322265625), SC_(0.2372233401671316914090788027243717002591e-11) }}, 
+      {{ SC_(21.200313568115234375), SC_(18.8463134765625), SC_(0.7535990812597486150774793755987502519808e-12) }}, 
+      {{ SC_(21.200313568115234375), SC_(21.200313568115234375), SC_(0.1333931751865168047637607803118636066591e-12) }}, 
+      {{ SC_(22.111194610595703125), SC_(0.4883005917072296142578125), SC_(0.4023270958353859331729421916196641590548) }}, 
+      {{ SC_(22.111194610595703125), SC_(3.5808107852935791015625), SC_(0.4561925811955480712455554825531898862552e-4) }}, 
+      {{ SC_(22.111194610595703125), SC_(9.76306438446044921875), SC_(0.287908313625114133096593363609925166202e-8) }}, 
+      {{ SC_(22.111194610595703125), SC_(10.9950771331787109375), SC_(0.6767823250623074424823331153095665925939e-9) }}, 
+      {{ SC_(22.111194610595703125), SC_(11.2553272247314453125), SC_(0.5050113859948054818979152159757318523478e-9) }}, 
+      {{ SC_(22.111194610595703125), SC_(12.70741176605224609375), SC_(0.106187257870437467688220317658808233483e-9) }}, 
+      {{ SC_(22.111194610595703125), SC_(13.55634593963623046875), SC_(0.4498562989250545729115126848216409483232e-10) }}, 
+      {{ SC_(22.111194610595703125), SC_(14.19721508026123046875), SC_(0.2407416895832622515950068935401606902031e-10) }}, 
+      {{ SC_(22.111194610595703125), SC_(15.76973247528076171875), SC_(0.5602394190379196690399208864904077977739e-11) }}, 
+      {{ SC_(22.111194610595703125), SC_(17.126956939697265625), SC_(0.1720354444466919736653692109072577024587e-11) }}, 
+      {{ SC_(22.111194610595703125), SC_(17.394779205322265625), SC_(0.1373360289966783082259797534114759219797e-11) }}, 
+      {{ SC_(22.111194610595703125), SC_(18.8463134765625), SC_(0.4218383476849226492456016936929687944407e-12) }}, 
+      {{ SC_(22.111194610595703125), SC_(21.200313568115234375), SC_(0.7087929852797230934618898349820935323437e-13) }}, 
+      {{ SC_(22.111194610595703125), SC_(22.111194610595703125), SC_(0.3693925710507406432157100681789297325451e-13) }}, 
+      {{ SC_(27.8570384979248046875), SC_(0.4883005917072296142578125), SC_(0.3589925561728178171282792250365645685032) }}, 
+      {{ SC_(27.8570384979248046875), SC_(3.5808107852935791015625), SC_(0.2075878651836665669368884218199488520905e-4) }}, 
+      {{ SC_(27.8570384979248046875), SC_(9.76306438446044921875), SC_(0.4160276268827202943707235932915324992161e-9) }}, 
+      {{ SC_(27.8570384979248046875), SC_(10.9950771331787109375), SC_(0.7978662510892932981553386691907405552849e-10) }}, 
+      {{ SC_(27.8570384979248046875), SC_(11.2553272247314453125), SC_(0.5708291745000159059346791406903873267777e-10) }}, 
+      {{ SC_(27.8570384979248046875), SC_(12.70741176605224609375), SC_(0.9543236927793619864929009493191799701852e-11) }}, 
+      {{ SC_(27.8570384979248046875), SC_(13.55634593963623046875), SC_(0.3550349817469550561652985297458703305561e-11) }}, 
+      {{ SC_(27.8570384979248046875), SC_(14.19721508026123046875), SC_(0.1725770772772756923387339566809606981332e-11) }}, 
+      {{ SC_(27.8570384979248046875), SC_(15.76973247528076171875), SC_(0.3192985780728106116659210115707091179214e-12) }}, 
+      {{ SC_(27.8570384979248046875), SC_(17.126956939697265625), SC_(0.8101403435735166773598922330519112016599e-13) }}, 
+      {{ SC_(27.8570384979248046875), SC_(17.394779205322265625), SC_(0.6232934753512174026087857689531889837758e-13) }}, 
+      {{ SC_(27.8570384979248046875), SC_(18.8463134765625), SC_(0.1573631663879034136111832580852290090108e-13) }}, 
+      {{ SC_(27.8570384979248046875), SC_(21.200313568115234375), SC_(0.1950230919229435853575398999229375068184e-14) }}, 
+      {{ SC_(27.8570384979248046875), SC_(22.111194610595703125), SC_(0.9072521588158641532437385761751929266303e-15) }}, 
+      {{ SC_(27.8570384979248046875), SC_(27.8570384979248046875), SC_(0.1141504856002585090268307606502603721469e-16) }}, 
+      {{ SC_(29.709972381591796875), SC_(0.4883005917072296142578125), SC_(0.3477823238382238883492832030740254852447) }}, 
+      {{ SC_(29.709972381591796875), SC_(3.5808107852935791015625), SC_(0.1664375828074216424794696189071743228252e-4) }}, 
+      {{ SC_(29.709972381591796875), SC_(9.76306438446044921875), SC_(0.2401328069062330362257577205189189698453e-9) }}, 
+      {{ SC_(29.709972381591796875), SC_(10.9950771331787109375), SC_(0.434120986268510816320746332427440448327e-10) }}, 
+      {{ SC_(29.709972381591796875), SC_(11.2553272247314453125), SC_(0.3068116683086284682703342936513064233322e-10) }}, 
+      {{ SC_(29.709972381591796875), SC_(12.70741176605224609375), SC_(0.4797707993418339299819157037059152237173e-11) }}, 
+      {{ SC_(29.709972381591796875), SC_(13.55634593963623046875), SC_(0.1718349744861700519228863467434376863524e-11) }}, 
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+      {{ SC_(98.1111602783203125), SC_(87.8442840576171875), SC_(0.5148141570573856486284567960280041186368e-56) }}, 
+      {{ SC_(98.1111602783203125), SC_(90.58013916015625), SC_(0.6709846261246534971965389215393570488439e-57) }}, 
+      {{ SC_(98.1111602783203125), SC_(91.3384552001953125), SC_(0.3844101066203601893016977142655166560642e-57) }}, 
+      {{ SC_(98.1111602783203125), SC_(91.57439422607421875), SC_(0.3234577760139000419255394164365207003724e-57) }}, 
+      {{ SC_(98.1111602783203125), SC_(93.3999786376953125), SC_(0.859593854756204184646801841438165796618e-58) }}, 
+      {{ SC_(98.1111602783203125), SC_(95.71712493896484375), SC_(0.1641715835912447394230581374626904638775e-58) }}, 
+      {{ SC_(98.1111602783203125), SC_(95.75110626220703125), SC_(0.1602682106349217545029406784582903131698e-58) }}, 
+      {{ SC_(98.1111602783203125), SC_(95.94964599609375), SC_(0.1392649829534419471333702423040122803017e-58) }}, 
+      {{ SC_(98.1111602783203125), SC_(96.48920440673828125), SC_(0.9517213511531468002288195501658142038161e-59) }}, 
+      {{ SC_(98.1111602783203125), SC_(96.76981353759765625), SC_(0.7812476997078492053953923205042573837174e-59) }}, 
+      {{ SC_(98.1111602783203125), SC_(96.88709259033203125), SC_(0.7194742800486816107437516780353896346481e-59) }}, 
+      {{ SC_(98.1111602783203125), SC_(97.0595703125), SC_(0.637472410063552390013598808869318155059e-59) }}, 
+      {{ SC_(98.1111602783203125), SC_(98.1111602783203125), SC_(0.3058403181628040477705206656631460856795e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(0.4883005917072296142578125), SC_(0.1923801889698148564555113133181529465821) }}, 
+      {{ SC_(99.28820037841796875), SC_(3.5808107852935791015625), SC_(0.2456058267957174777784219379881498914239e-6) }}, 
+      {{ SC_(99.28820037841796875), SC_(9.76306438446044921875), SC_(0.4487063715912299987507631134717296332553e-14) }}, 
+      {{ SC_(99.28820037841796875), SC_(10.9950771331787109375), SC_(0.2324834326367966805728012621297649345672e-15) }}, 
+      {{ SC_(99.28820037841796875), SC_(11.2553272247314453125), SC_(0.1265759538782907580038284319841988342359e-15) }}, 
+      {{ SC_(99.28820037841796875), SC_(12.70741176605224609375), SC_(0.4706106361473389697972241486949299093979e-17) }}, 
+      {{ SC_(99.28820037841796875), SC_(13.55634593963623046875), SC_(0.7385400034640671358405378286945050157311e-18) }}, 
+      {{ SC_(99.28820037841796875), SC_(14.19721508026123046875), SC_(0.1885069686503451012000261467725021956534e-18) }}, 
+      {{ SC_(99.28820037841796875), SC_(15.76973247528076171875), SC_(0.7370109804769921726609676575407061224464e-20) }}, 
+      {{ SC_(99.28820037841796875), SC_(17.126956939697265625), SC_(0.5031628626150798715252350782948676310521e-21) }}, 
+      {{ SC_(99.28820037841796875), SC_(17.394779205322265625), SC_(0.2996823098234333070527581002091534813784e-21) }}, 
+      {{ SC_(99.28820037841796875), SC_(18.8463134765625), SC_(0.1921580648893461338294279877065559296991e-22) }}, 
+      {{ SC_(99.28820037841796875), SC_(21.200313568115234375), SC_(0.2734704683537269414427349238862154757344e-24) }}, 
+      {{ SC_(99.28820037841796875), SC_(22.111194610595703125), SC_(0.5608885813308113303238467949339443160041e-25) }}, 
+      {{ SC_(99.28820037841796875), SC_(27.8570384979248046875), SC_(0.5011235652947363206175620265387344160432e-29) }}, 
+      {{ SC_(99.28820037841796875), SC_(29.709972381591796875), SC_(0.3073401786713354783422887725101416154095e-30) }}, 
+      {{ SC_(99.28820037841796875), SC_(30.198291778564453125), SC_(0.1495620540966926716617150536398488282812e-30) }}, 
+      {{ SC_(99.28820037841796875), SC_(30.8236217498779296875), SC_(0.6000285909162521699145513938451272999869e-31) }}, 
+      {{ SC_(99.28820037841796875), SC_(36.1357879638671875), SC_(0.3728824838482918677081119334911335216199e-34) }}, 
+      {{ SC_(99.28820037841796875), SC_(39.228778839111328125), SC_(0.6677756301738910225632461391573321797407e-36) }}, 
+      {{ SC_(99.28820037841796875), SC_(39.8798675537109375), SC_(0.2930895735675009086333913631060316137677e-36) }}, 
+      {{ SC_(99.28820037841796875), SC_(42.181911468505859375), SC_(0.1693973226844383599343026700112298201101e-37) }}, 
+      {{ SC_(99.28820037841796875), SC_(42.21454620361328125), SC_(0.1627950248485107925341558091512505607137e-37) }}, 
+      {{ SC_(99.28820037841796875), SC_(47.481121063232421875), SC_(0.3330085748682566850832198233207190211534e-40) }}, 
+      {{ SC_(99.28820037841796875), SC_(48.5427093505859375), SC_(0.100544198747613052926826741785686040162e-40) }}, 
+      {{ SC_(99.28820037841796875), SC_(50.371234893798828125), SC_(0.13258788791152725425218388226321118472e-41) }}, 
+      {{ SC_(99.28820037841796875), SC_(54.69268035888671875), SC_(0.1313760815993720840074630127792678156268e-43) }}, 
+      {{ SC_(99.28820037841796875), SC_(54.72658538818359375), SC_(0.1268208149460242841570615298503569083989e-43) }}, 
+      {{ SC_(99.28820037841796875), SC_(63.23960113525390625), SC_(0.2699722575831307817738548548359756379651e-47) }}, 
+      {{ SC_(99.28820037841796875), SC_(63.979938507080078125), SC_(0.1340984575713132311018870497125866057476e-47) }}, 
+      {{ SC_(99.28820037841796875), SC_(65.55123138427734375), SC_(0.3090080415155883193340417037150280680446e-48) }}, 
+      {{ SC_(99.28820037841796875), SC_(65.57750701904296875), SC_(0.3015752429709854578886269646270253935988e-48) }}, 
+      {{ SC_(99.28820037841796875), SC_(67.8767242431640625), SC_(0.3670519419246049233823338020503401373984e-49) }}, 
+      {{ SC_(99.28820037841796875), SC_(68.13913726806640625), SC_(0.2894971682607291091939431947060909981003e-49) }}, 
+      {{ SC_(99.28820037841796875), SC_(72.586639404296875), SC_(0.5667883113650373201088271187179010685353e-51) }}, 
+      {{ SC_(99.28820037841796875), SC_(74.06732177734375), SC_(0.1586139142640112616833834090314449809671e-51) }}, 
+      {{ SC_(99.28820037841796875), SC_(74.31581878662109375), SC_(0.1283082308040487773071414199515968726889e-51) }}, 
+      {{ SC_(99.28820037841796875), SC_(75.77643585205078125), SC_(0.3725340302295850045660575298828474528915e-52) }}, 
+      {{ SC_(99.28820037841796875), SC_(79.222808837890625), SC_(0.2144355465309677392489605124634968707566e-53) }}, 
+      {{ SC_(99.28820037841796875), SC_(79.79488372802734375), SC_(0.1346130804601772321623396289758276611402e-53) }}, 
+      {{ SC_(99.28820037841796875), SC_(79.81259918212890625), SC_(0.1326909789369857461142602313715542831516e-53) }}, 
+      {{ SC_(99.28820037841796875), SC_(80.0300445556640625), SC_(0.1112385485022018184399973070181174192449e-53) }}, 
+      {{ SC_(99.28820037841796875), SC_(81.47422027587890625), SC_(0.3477087948041939844954947529993146996271e-54) }}, 
+      {{ SC_(99.28820037841796875), SC_(83.50250244140625), SC_(0.6954685857403899872345122255939827059672e-55) }}, 
+      {{ SC_(99.28820037841796875), SC_(84.9144439697265625), SC_(0.2305022368963792918374045440255573944972e-55) }}, 
+      {{ SC_(99.28820037841796875), SC_(87.8442840576171875), SC_(0.2426692524995680338063025963049576159969e-56) }}, 
+      {{ SC_(99.28820037841796875), SC_(90.58013916015625), SC_(0.3108954898182860056996723129347479880307e-57) }}, 
+      {{ SC_(99.28820037841796875), SC_(91.3384552001953125), SC_(0.177274951998617876622882773084236592574e-57) }}, 
+      {{ SC_(99.28820037841796875), SC_(91.57439422607421875), SC_(0.1489478524316917189142423131246550263379e-57) }}, 
+      {{ SC_(99.28820037841796875), SC_(93.3999786376953125), SC_(0.391395647520547062879698857559018774153e-58) }}, 
+      {{ SC_(99.28820037841796875), SC_(95.71712493896484375), SC_(0.7370139019861423249354768312525385658739e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(95.75110626220703125), SC_(0.7193421532242703379994350770733633272194e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(95.94964599609375), SC_(0.6243197059873241510274500477065543790757e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(96.48920440673828125), SC_(0.4252617027499467811810299417544006679444e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(96.76981353759765625), SC_(0.3484969370967557871486154959308680473194e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(96.88709259033203125), SC_(0.3207141270593581779254023249982845071696e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(97.0595703125), SC_(0.2838654062329006203358352082138793616487e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(98.1111602783203125), SC_(0.135331897584667014131258701945417599616e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(99.28820037841796875), SC_(0.5946341007968227163535653640336744451921e-60) }}, 
+      {{ SC_(99.64617156982421875), SC_(0.4883005917072296142578125), SC_(0.1920415401866252505960149155087364700429) }}, 
+      {{ SC_(99.64617156982421875), SC_(3.5808107852935791015625), SC_(0.2425007447493048943965527355796496259445e-6) }}, 
+      {{ SC_(99.64617156982421875), SC_(9.76306438446044921875), SC_(0.4338463329689989369521219399698331619339e-14) }}, 
+      {{ SC_(99.64617156982421875), SC_(10.9950771331787109375), SC_(0.2238793620730317918365780183630913591486e-15) }}, 
+      {{ SC_(99.64617156982421875), SC_(11.2553272247314453125), SC_(0.1217883523395548244503225558455778824065e-15) }}, 
+      {{ SC_(99.64617156982421875), SC_(12.70741176605224609375), SC_(0.4506937720795369966253108234128095796053e-17) }}, 
+      {{ SC_(99.64617156982421875), SC_(13.55634593963623046875), SC_(0.7053692076383500412728910873848177350615e-18) }}, 
+      {{ SC_(99.64617156982421875), SC_(14.19721508026123046875), SC_(0.1796747134889476173979330386276389059013e-18) }}, 
+      {{ SC_(99.64617156982421875), SC_(15.76973247528076171875), SC_(0.6990175412575383911153375435413556806998e-20) }}, 
+      {{ SC_(99.64617156982421875), SC_(17.126956939697265625), SC_(0.475219770637311911218530901770424242484e-21) }}, 
+      {{ SC_(99.64617156982421875), SC_(17.394779205322265625), SC_(0.2828061146103015181288433756774729344582e-21) }}, 
+      {{ SC_(99.64617156982421875), SC_(18.8463134765625), SC_(0.1805339957483893466812493111272198920639e-22) }}, 
+      {{ SC_(99.64617156982421875), SC_(21.200313568115234375), SC_(0.2551145044678329055180101519714681369991e-24) }}, 
+      {{ SC_(99.64617156982421875), SC_(22.111194610595703125), SC_(0.521827937109776436392706852004371656104e-25) }}, 
+      {{ SC_(99.64617156982421875), SC_(27.8570384979248046875), SC_(0.4585509723284941456360070341222362036382e-29) }}, 
+      {{ SC_(99.64617156982421875), SC_(29.709972381591796875), SC_(0.2797738978507146557808496231858841269347e-30) }}, 
+      {{ SC_(99.64617156982421875), SC_(30.198291778564453125), SC_(0.1359628995333712367120268567405627842371e-30) }}, 
+      {{ SC_(99.64617156982421875), SC_(30.8236217498779296875), SC_(0.5445278627462667801264942137517994423527e-31) }}, 
+      {{ SC_(99.64617156982421875), SC_(36.1357879638671875), SC_(0.3335676798398169433467181047773937919425e-34) }}, 
+      {{ SC_(99.64617156982421875), SC_(39.228778839111328125), SC_(0.5925480070878764501178860688204541780342e-36) }}, 
+      {{ SC_(99.64617156982421875), SC_(39.8798675537109375), SC_(0.2596346306023602973051248853685030558771e-36) }}, 
+      {{ SC_(99.64617156982421875), SC_(42.181911468505859375), SC_(0.1491806079618579894544070083102953058676e-37) }}, 
+      {{ SC_(99.64617156982421875), SC_(42.21454620361328125), SC_(0.1433543971257228329446310718021257196428e-37) }}, 
+      {{ SC_(99.64617156982421875), SC_(47.481121063232421875), SC_(0.2894219671371863633901114678428523677553e-40) }}, 
+      {{ SC_(99.64617156982421875), SC_(48.5427093505859375), SC_(0.8715859321707892083793914056580348529658e-41) }}, 
+      {{ SC_(99.64617156982421875), SC_(50.371234893798828125), SC_(0.1144304917248501740653089888841788532933e-41) }}, 
+      {{ SC_(99.64617156982421875), SC_(54.69268035888671875), SC_(0.1122326874270186317133861668699838855083e-43) }}, 
+      {{ SC_(99.64617156982421875), SC_(54.72658538818359375), SC_(0.108332632811810033121283078371423493224e-43) }}, 
+      {{ SC_(99.64617156982421875), SC_(63.23960113525390625), SC_(0.2262074110898120193155243766072235368719e-47) }}, 
+      {{ SC_(99.64617156982421875), SC_(63.979938507080078125), SC_(0.1121769230946183388130951853048359732083e-47) }}, 
+      {{ SC_(99.64617156982421875), SC_(65.55123138427734375), SC_(0.2576069444251818757386717313878324944765e-48) }}, 
+      {{ SC_(99.64617156982421875), SC_(65.57750701904296875), SC_(0.2513961622572047306221104339881351344355e-48) }}, 
+      {{ SC_(99.64617156982421875), SC_(67.8767242431640625), SC_(0.3044620609127321948461303153395712705542e-49) }}, 
+      {{ SC_(99.64617156982421875), SC_(68.13913726806640625), SC_(0.2399969117830299809884620846041547199087e-49) }}, 
+      {{ SC_(99.64617156982421875), SC_(72.586639404296875), SC_(0.4654774693873818497215598980564748298819e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(74.06732177734375), SC_(0.1298622741166349753386447918518841478102e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(74.31581878662109375), SC_(0.1049960916780689406311743991678991020359e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(75.77643585205078125), SC_(0.3039342449834348309579161767378331641473e-52) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.222808837890625), SC_(0.1737297384572845553919699070496733332975e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.79488372802734375), SC_(0.1089347230301574574227379586143568671545e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.81259918212890625), SC_(0.1073754663619106685903160281830989629804e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(80.0300445556640625), SC_(0.8997668853899322225061748437651655966981e-54) }}, 
+      {{ SC_(99.64617156982421875), SC_(81.47422027587890625), SC_(0.2804407307548493204640087364124890413703e-54) }}, 
+      {{ SC_(99.64617156982421875), SC_(83.50250244140625), SC_(0.5586826121117789439615638077672711001932e-55) }}, 
+      {{ SC_(99.64617156982421875), SC_(84.9144439697265625), SC_(0.1846564298928271058587078878704235002733e-55) }}, 
+      {{ SC_(99.64617156982421875), SC_(87.8442840576171875), SC_(0.1933065218129760647098319832562443180994e-56) }}, 
+      {{ SC_(99.64617156982421875), SC_(90.58013916015625), SC_(0.246368912661760433645524568855257596525e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(91.3384552001953125), SC_(0.1402807696431983675171416011032570303907e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(91.57439422607421875), SC_(0.1178127749000117009577583032714136533809e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(93.3999786376953125), SC_(0.3085259587898341188615347001733307622013e-58) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.71712493896484375), SC_(0.5784821309052389104753898006604136073638e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.75110626220703125), SC_(0.5645763032239863667263699872521759670044e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.94964599609375), SC_(0.489819130902001275392106966836686313721e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.48920440673828125), SC_(0.3333152772138028099176546108963123743121e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.76981353759765625), SC_(0.2730076878660219712815291918211112895904e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.88709259033203125), SC_(0.2511891524767099195545978116145973727058e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(97.0595703125), SC_(0.222258516470169272817490714164593170175e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(98.1111602783203125), SC_(0.1057582725557246879085406508118398211083e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(99.28820037841796875), SC_(0.4637012277372110272033377955412817752539e-60) }}, 
+      {{ SC_(99.64617156982421875), SC_(99.64617156982421875), SC_(0.3613651154665954292095783593077701467444e-60) }}
+   } };
diff --git a/src/boost/libs/math/test/beta_small_data.ipp b/src/boost/libs/math/test/beta_small_data.ipp
new file mode 100644
index 00000000..26659e11
--- /dev/null
+++ b/src/boost/libs/math/test/beta_small_data.ipp
@@ -0,0 +1,37 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+using std::ldexp;
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 23> beta_small_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1155631.551635027016649268884796909927277) }},
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1039549.452063747329381617654200841254652) }},
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(923467.3524924676425690820378921903570447) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(715366.9882608199489156088500706918884474) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.216575062950141727924346923828125e-5), SC_(599284.8886895402674421924477675861806454) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(275102.4248866129549503632384850636365051) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(649244.3230419389091055494874477610228104) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.216575062950141727924346923828125e-5), SC_(533162.2234706592346717218748633348329255) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(208979.7596677320047637517666971035319141) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(142857.0944488511634633414470885024340382) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(635967.2966761120408405544283252854891051) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(519885.1971048323697502064131013612391462) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(195702.7333019051790657557774869592595619) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(129580.0680830243894812627999923649303964) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(116303.0417171976400618567245671670493297) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(594458.8435535046961781833034439822035691) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(478376.7439822250699480739314338811953296) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(154194.2801792984055346510144704788292969) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(88071.61496041830983457563965247905141874) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(74794.58859459188997822531683455967562115) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.60085076256655156612396240234375e-4), SC_(33286.13547199056171829186221434157408122) }},
+      {{ std::numeric_limits<T>::max_exponent > 154 ? SC_(2.9833362924800826973163861261851735349505886138402e-154) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(3.7291703656001033716454826577314669186882357673002e-155) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(3.0167567842370843474041556245963153786828573096333e154) : SC_(1.0) }},
+      {{ std::numeric_limits<T>::max_exponent > 154 ? SC_(2.9833362924800826973163861261851735349505886138402e-154) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(1.8645851828000516858227413288657334593441178836501e-155) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(5.6983183702256037673189606242374846041787304737518e154) : SC_(1.0) }}
+   } };
+
+
+// static_cast<T>(BOOST_JOIN(x, L)) // changes type to T and adds suffix L to decimal digit string.
+
+
diff --git a/src/boost/libs/math/test/binomial_data.ipp b/src/boost/libs/math/test/binomial_data.ipp
new file mode 100644
index 00000000..1cca2ad1
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_data.ipp
@@ -0,0 +1,167 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 159> binomial_data = { {
+      {{ SC_(0.15e2), SC_(0.15e2), SC_(0.1e1) }}, 
+      {{ SC_(0.19e2), SC_(0.15e2), SC_(0.3876e4) }}, 
+      {{ SC_(0.19e2), SC_(0.19e2), SC_(0.1e1) }}, 
+      {{ SC_(0.21e2), SC_(0.15e2), SC_(0.54264e5) }}, 
+      {{ SC_(0.21e2), SC_(0.19e2), SC_(0.21e3) }}, 
+      {{ SC_(0.21e2), SC_(0.21e2), SC_(0.1e1) }}, 
+      {{ SC_(0.29e2), SC_(0.15e2), SC_(0.7755876e8) }}, 
+      {{ SC_(0.29e2), SC_(0.19e2), SC_(0.2003001e8) }}, 
+      {{ SC_(0.29e2), SC_(0.21e2), SC_(0.4292145e7) }}, 
+      {{ SC_(0.29e2), SC_(0.29e2), SC_(0.1e1) }}, 
+      {{ SC_(0.33e2), SC_(0.15e2), SC_(0.103715832e10) }}, 
+      {{ SC_(0.33e2), SC_(0.19e2), SC_(0.8188092e9) }}, 
+      {{ SC_(0.33e2), SC_(0.21e2), SC_(0.35481732e9) }}, 
+      {{ SC_(0.33e2), SC_(0.29e2), SC_(0.4092e5) }}, 
+      {{ SC_(0.33e2), SC_(0.33e2), SC_(0.1e1) }}, 
+      {{ SC_(0.42e2), SC_(0.15e2), SC_(0.98672427616e11) }}, 
+      {{ SC_(0.42e2), SC_(0.19e2), SC_(0.4467753108e12) }}, 
+      {{ SC_(0.42e2), SC_(0.21e2), SC_(0.53825787444e12) }}, 
+      {{ SC_(0.42e2), SC_(0.29e2), SC_(0.2551873128e11) }}, 
+      {{ SC_(0.42e2), SC_(0.33e2), SC_(0.44589181e9) }}, 
+      {{ SC_(0.42e2), SC_(0.42e2), SC_(0.1e1) }}, 
+      {{ SC_(0.46e2), SC_(0.15e2), SC_(0.511738760544e12) }}, 
+      {{ SC_(0.46e2), SC_(0.19e2), SC_(0.415424667196e13) }}, 
+      {{ SC_(0.46e2), SC_(0.21e2), SC_(0.6943526580276e13) }}, 
+      {{ SC_(0.46e2), SC_(0.29e2), SC_(0.174969502686e13) }}, 
+      {{ SC_(0.46e2), SC_(0.33e2), SC_(0.10176623079e12) }}, 
+      {{ SC_(0.46e2), SC_(0.42e2), SC_(0.163185e6) }}, 
+      {{ SC_(0.46e2), SC_(0.46e2), SC_(0.1e1) }}, 
+      {{ SC_(0.82e2), SC_(0.15e2), SC_(0.996731056598616e16) }}, 
+      {{ SC_(0.82e2), SC_(0.19e2), SC_(0.19710382359693168e19) }}, 
+      {{ SC_(0.82e2), SC_(0.21e2), SC_(0.1833065559451464624e20) }}, 
+      {{ SC_(0.82e2), SC_(0.29e2), SC_(0.1257660762751009389168e23) }}, 
+      {{ SC_(0.82e2), SC_(0.33e2), SC_(0.899986590548788671513e23) }}, 
+      {{ SC_(0.82e2), SC_(0.42e2), SC_(0.41467066225715382349482e24) }}, 
+      {{ SC_(0.82e2), SC_(0.46e2), SC_(0.23223183395337370425708e24) }}, 
+      {{ SC_(0.82e2), SC_(0.82e2), SC_(0.1e1) }}, 
+      {{ SC_(0.95e2), SC_(0.15e2), SC_(0.110375347398090219e18) }}, 
+      {{ SC_(0.95e2), SC_(0.19e2), SC_(0.45038039715653129145e20) }}, 
+      {{ SC_(0.95e2), SC_(0.21e2), SC_(0.611230538998149609825e21) }}, 
+      {{ SC_(0.95e2), SC_(0.29e2), SC_(0.2146280142106099437545685e25) }}, 
+      {{ SC_(0.95e2), SC_(0.33e2), SC_(0.3780222443838484815806271e26) }}, 
+      {{ SC_(0.95e2), SC_(0.42e2), SC_(0.171987522327068244097964157e28) }}, 
+      {{ SC_(0.95e2), SC_(0.46e2), SC_(0.308620560869098008873280965e28) }}, 
+      {{ SC_(0.95e2), SC_(0.82e2), SC_(0.3489735464257595e16) }}, 
+      {{ SC_(0.95e2), SC_(0.95e2), SC_(0.1e1) }}, 
+      {{ SC_(0.122e3), SC_(0.15e2), SC_(0.6156937298378625264e19) }}, 
+      {{ SC_(0.122e3), SC_(0.19e2), SC_(0.819751088529043274604e22) }}, 
+      {{ SC_(0.122e3), SC_(0.21e2), SC_(0.205054879430622110547372e24) }}, 
+      {{ SC_(0.122e3), SC_(0.29e2), SC_(0.965499981454662046766678536e28) }}, 
+      {{ SC_(0.122e3), SC_(0.33e2), SC_(0.68890617994929806723272437813e30) }}, 
+      {{ SC_(0.122e3), SC_(0.42e2), SC_(0.982048893026815201335532502524191e33) }}, 
+      {{ SC_(0.122e3), SC_(0.46e2), SC_(0.9517963588769497111427223674615988e34) }}, 
+      {{ SC_(0.122e3), SC_(0.82e2), SC_(0.254605268562507644790693611765531e33) }}, 
+      {{ SC_(0.122e3), SC_(0.95e2), SC_(0.877923835320476575559398624e27) }}, 
+      {{ SC_(0.122e3), SC_(0.122e3), SC_(0.1e1) }}, 
+      {{ SC_(0.125e3), SC_(0.15e2), SC_(0.90648078331934398e19) }}, 
+      {{ SC_(0.125e3), SC_(0.19e2), SC_(0.1350175763944140060675e23) }}, 
+      {{ SC_(0.125e3), SC_(0.21e2), SC_(0.357796577445197116078875e24) }}, 
+      {{ SC_(0.125e3), SC_(0.29e2), SC_(0.21471697865846785089593512375e29) }}, 
+      {{ SC_(0.125e3), SC_(0.33e2), SC_(0.1743111472200107189546091504625e31) }}, 
+      {{ SC_(0.125e3), SC_(0.42e2), SC_(0.339619764433637564049548277312025e34) }}, 
+      {{ SC_(0.125e3), SC_(0.46e2), SC_(0.38244450869782214079034893241053e35) }}, 
+      {{ SC_(0.125e3), SC_(0.82e2), SC_(0.655545126697486460839825744579025e34) }}, 
+      {{ SC_(0.125e3), SC_(0.95e2), SC_(0.687094331707097122866992396e29) }}, 
+      {{ SC_(0.125e3), SC_(0.122e3), SC_(0.31775e6) }}, 
+      {{ SC_(0.125e3), SC_(0.125e3), SC_(0.1e1) }}, 
+      {{ SC_(0.135e3), SC_(0.15e2), SC_(0.307563739414613748e20) }}, 
+      {{ SC_(0.135e3), SC_(0.19e2), SC_(0.65183278299357679461e23) }}, 
+      {{ SC_(0.135e3), SC_(0.21e2), SC_(0.2070345077412932009547e25) }}, 
+      {{ SC_(0.135e3), SC_(0.29e2), SC_(0.2654598483954587033449048188e30) }}, 
+      {{ SC_(0.135e3), SC_(0.33e2), SC_(0.322268385697858320141605625441e32) }}, 
+      {{ SC_(0.135e3), SC_(0.42e2), SC_(0.165539796634100865734488051471458e36) }}, 
+      {{ SC_(0.135e3), SC_(0.46e2), SC_(0.2961867439565318449706072684149998e37) }}, 
+      {{ SC_(0.135e3), SC_(0.82e2), SC_(0.1323968752490674447090425029339391282e39) }}, 
+      {{ SC_(0.135e3), SC_(0.95e2), SC_(0.319215598884570762368184126129732e35) }}, 
+      {{ SC_(0.135e3), SC_(0.122e3), SC_(0.437531400061434e18) }}, 
+      {{ SC_(0.135e3), SC_(0.125e3), SC_(0.393812684240976e15) }}, 
+      {{ SC_(0.135e3), SC_(0.135e3), SC_(0.1e1) }}, 
+      {{ SC_(0.137e3), SC_(0.15e2), SC_(0.388194525997363728e20) }}, 
+      {{ SC_(0.137e3), SC_(0.19e2), SC_(0.87968625327656981292e23) }}, 
+      {{ SC_(0.137e3), SC_(0.21e2), SC_(0.28916543839848387707556e25) }}, 
+      {{ SC_(0.137e3), SC_(0.29e2), SC_(0.4280069137507949602563401336e30) }}, 
+      {{ SC_(0.137e3), SC_(0.33e2), SC_(0.560540007685072462740701644251e32) }}, 
+      {{ SC_(0.137e3), SC_(0.42e2), SC_(0.3453905364934565879468064249738192e36) }}, 
+      {{ SC_(0.137e3), SC_(0.46e2), SC_(0.67381580139170956477318127290699344e37) }}, 
+      {{ SC_(0.137e3), SC_(0.95e2), SC_(0.3453905364934565879468064249738192e36) }}, 
+      {{ SC_(0.137e3), SC_(0.122e3), SC_(0.388194525997363728e20) }}, 
+      {{ SC_(0.137e3), SC_(0.125e3), SC_(0.55587257066498976e17) }}, 
+      {{ SC_(0.137e3), SC_(0.135e3), SC_(0.9316e4) }}, 
+      {{ SC_(0.137e3), SC_(0.137e3), SC_(0.1e1) }}, 
+      {{ SC_(0.143e3), SC_(0.15e2), SC_(0.76435265515004093841e20) }}, 
+      {{ SC_(0.143e3), SC_(0.19e2), SC_(0.210374461432936964163e24) }}, 
+      {{ SC_(0.143e3), SC_(0.21e2), SC_(0.76395982994646537557478e25) }}, 
+      {{ SC_(0.143e3), SC_(0.29e2), SC_(0.17138496567725350060390313738e31) }}, 
+      {{ SC_(0.143e3), SC_(0.33e2), SC_(0.27947962468928852152878073112114e33) }}, 
+      {{ SC_(0.143e3), SC_(0.42e2), SC_(0.291038363317011408088847346619471914e37) }}, 
+      {{ SC_(0.143e3), SC_(0.46e2), SC_(0.728184459077800535203086713053471437e38) }}, 
+      {{ SC_(0.143e3), SC_(0.95e2), SC_(0.3005697554491346889987208985795179974e39) }}, 
+      {{ SC_(0.143e3), SC_(0.122e3), SC_(0.76395982994646537557478e25) }}, 
+      {{ SC_(0.143e3), SC_(0.125e3), SC_(0.31976918137806418552776e23) }}, 
+      {{ SC_(0.143e3), SC_(0.135e3), SC_(0.3553074951283e13) }}, 
+      {{ SC_(0.143e3), SC_(0.137e3), SC_(0.10679057389e11) }}, 
+      {{ SC_(0.143e3), SC_(0.143e3), SC_(0.1e1) }}, 
+      {{ SC_(0.144e3), SC_(0.15e2), SC_(0.85323087086516197776e20) }}, 
+      {{ SC_(0.144e3), SC_(0.19e2), SC_(0.242351379570743382715776e24) }}, 
+      {{ SC_(0.144e3), SC_(0.21e2), SC_(0.89439199603488629335584e25) }}, 
+      {{ SC_(0.144e3), SC_(0.29e2), SC_(0.214603783108908731190974363328e31) }}, 
+      {{ SC_(0.144e3), SC_(0.33e2), SC_(0.36256816175907700090220202956256e33) }}, 
+      {{ SC_(0.144e3), SC_(0.42e2), SC_(0.410877689388721987890137430521607408e37) }}, 
+      {{ SC_(0.144e3), SC_(0.46e2), SC_(0.1069985327624523235400453945711223336e39) }}, 
+      {{ SC_(0.144e3), SC_(0.122e3), SC_(0.500046434146777336739856e26) }}, 
+      {{ SC_(0.144e3), SC_(0.125e3), SC_(0.242351379570743382715776e24) }}, 
+      {{ SC_(0.144e3), SC_(0.135e3), SC_(0.56849199220528e14) }}, 
+      {{ SC_(0.144e3), SC_(0.137e3), SC_(0.219683466288e12) }}, 
+      {{ SC_(0.144e3), SC_(0.143e3), SC_(0.144e3) }}, 
+      {{ SC_(0.144e3), SC_(0.144e3), SC_(0.1e1) }}, 
+      {{ SC_(0.145e3), SC_(0.15e2), SC_(0.95168058673421912904e20) }}, 
+      {{ SC_(0.145e3), SC_(0.19e2), SC_(0.27889642887109357534752e24) }}, 
+      {{ SC_(0.145e3), SC_(0.21e2), SC_(0.10458616082666009075532e26) }}, 
+      {{ SC_(0.145e3), SC_(0.29e2), SC_(0.26825472888613591398871795416e31) }}, 
+      {{ SC_(0.145e3), SC_(0.33e2), SC_(0.4693962808488050458108865561301e33) }}, 
+      {{ SC_(0.145e3), SC_(0.42e2), SC_(0.57842004816858920625310609151100072e37) }}, 
+      {{ SC_(0.145e3), SC_(0.46e2), SC_(0.156715022732884716296026082957704428e39) }}, 
+      {{ SC_(0.145e3), SC_(0.122e3), SC_(0.315246665005577016640344e27) }}, 
+      {{ SC_(0.145e3), SC_(0.125e3), SC_(0.1757047501887889524689376e25) }}, 
+      {{ SC_(0.145e3), SC_(0.135e3), SC_(0.824313388697656e15) }}, 
+      {{ SC_(0.145e3), SC_(0.137e3), SC_(0.398176282647e13) }}, 
+      {{ SC_(0.145e3), SC_(0.143e3), SC_(0.1044e5) }}, 
+      {{ SC_(0.145e3), SC_(0.144e3), SC_(0.145e3) }}, 
+      {{ SC_(0.145e3), SC_(0.145e3), SC_(0.1e1) }}, 
+      {{ SC_(0.148e3), SC_(0.15e2), SC_(0.131439605927052712464e21) }}, 
+      {{ SC_(0.148e3), SC_(0.19e2), SC_(0.42244624913775365779698e24) }}, 
+      {{ SC_(0.148e3), SC_(0.21e2), SC_(0.16608172537529972375104128e26) }}, 
+      {{ SC_(0.148e3), SC_(0.29e2), SC_(0.51863815313548295889610045344e31) }}, 
+      {{ SC_(0.148e3), SC_(0.33e2), SC_(0.100644585365316213131406856592232e34) }}, 
+      {{ SC_(0.148e3), SC_(0.42e2), SC_(0.1587255130729102485141868921944628536e38) }}, 
+      {{ SC_(0.148e3), SC_(0.122e3), SC_(0.6418858594895863473128136624e29) }}, 
+      {{ SC_(0.148e3), SC_(0.125e3), SC_(0.525225250880542723214261376e27) }}, 
+      {{ SC_(0.148e3), SC_(0.135e3), SC_(0.1525832904625819216e19) }}, 
+      {{ SC_(0.148e3), SC_(0.137e3), SC_(0.12775329171405528e17) }}, 
+      {{ SC_(0.148e3), SC_(0.143e3), SC_(0.552689424e9) }}, 
+      {{ SC_(0.148e3), SC_(0.144e3), SC_(0.19190605e8) }}, 
+      {{ SC_(0.148e3), SC_(0.145e3), SC_(0.529396e6) }}, 
+      {{ SC_(0.148e3), SC_(0.148e3), SC_(0.1e1) }}, 
+      {{ SC_(0.149e3), SC_(0.15e2), SC_(0.146152994650230254904e21) }}, 
+      {{ SC_(0.149e3), SC_(0.19e2), SC_(0.484188393242502269321154e24) }}, 
+      {{ SC_(0.149e3), SC_(0.21e2), SC_(0.19332950844468483467894649e26) }}, 
+      {{ SC_(0.149e3), SC_(0.29e2), SC_(0.643975706809891340629324729688e31) }}, 
+      {{ SC_(0.149e3), SC_(0.33e2), SC_(0.129276234650276859970513979588298e34) }}, 
+      {{ SC_(0.149e3), SC_(0.42e2), SC_(0.2210289854940525890524658592240650952e38) }}, 
+      {{ SC_(0.149e3), SC_(0.122e3), SC_(0.35422590023684579907262679888e30) }}, 
+      {{ SC_(0.149e3), SC_(0.125e3), SC_(0.3260773432550036073288539376e28) }}, 
+      {{ SC_(0.149e3), SC_(0.135e3), SC_(0.16239221627803361656e20) }}, 
+      {{ SC_(0.149e3), SC_(0.137e3), SC_(0.158627003878285306e18) }}, 
+      {{ SC_(0.149e3), SC_(0.143e3), SC_(0.13725120696e11) }}, 
+      {{ SC_(0.149e3), SC_(0.144e3), SC_(0.571880029e9) }}, 
+      {{ SC_(0.149e3), SC_(0.145e3), SC_(0.19720001e8) }}, 
+      {{ SC_(0.149e3), SC_(0.148e3), SC_(0.149e3) }}, 
+      {{ SC_(0.149e3), SC_(0.149e3), SC_(0.1e1) }}
+   } };
+
diff --git a/src/boost/libs/math/test/binomial_large_data.ipp b/src/boost/libs/math/test/binomial_large_data.ipp
new file mode 100644
index 00000000..ea369e5e
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_large_data.ipp
@@ -0,0 +1,238 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 230> binomial_large_data = { {
+      {{ SC_(0.174e3), SC_(0.4e1), SC_(0.36890001e8) }}, 
+      {{ SC_(0.174e3), SC_(0.5e1), SC_(0.1254260034e10) }}, 
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+      {{ SC_(0.399e3), SC_(0.4e1), SC_(0.1040232501e10) }}, 
+      {{ SC_(0.399e3), SC_(0.5e1), SC_(0.82178367579e11) }}, 
+      {{ SC_(0.399e3), SC_(0.6e1), SC_(0.5396379471021e13) }}, 
+      {{ SC_(0.399e3), SC_(0.8e1), SC_(0.14845439924778771e17) }}, 
+      {{ SC_(0.399e3), SC_(0.9e1), SC_(0.644951890065388829e18) }}, 
+      {{ SC_(0.399e3), SC_(0.11e2), SC_(0.889505920380183084069e21) }}, 
+      {{ SC_(0.399e3), SC_(0.13e2), SC_(0.856183660132094686996569e24) }}, 
+      {{ SC_(0.399e3), SC_(0.22e2), SC_(0.821413122685123394021825478134878776e36) }}, 
+      {{ SC_(0.399e3), SC_(0.375e3), SC_(0.210936508997937701719894574595245174376e39) }}, 
+      {{ SC_(0.399e3), SC_(0.376e3), SC_(0.13464032489230066067227313272036926024e38) }}, 
+      {{ SC_(0.399e3), SC_(0.378e3), SC_(0.47807112960509827165291429944358024e35) }}, 
+      {{ SC_(0.399e3), SC_(0.379e3), SC_(0.2648942934487351900979208519344376e34) }}, 
+      {{ SC_(0.399e3), SC_(0.386e3), SC_(0.856183660132094686996569e24) }}, 
+      {{ SC_(0.399e3), SC_(0.388e3), SC_(0.889505920380183084069e21) }}, 
+      {{ SC_(0.399e3), SC_(0.394e3), SC_(0.82178367579e11) }}, 
+      {{ SC_(0.399e3), SC_(0.395e3), SC_(0.1040232501e10) }}, 
+      {{ SC_(0.399e3), SC_(0.397e3), SC_(0.79401e5) }}, 
+      {{ SC_(0.399e3), SC_(0.398e3), SC_(0.399e3) }}, 
+      {{ SC_(0.399e3), SC_(0.399e3), SC_(0.1e1) }}
+   } };
+
diff --git a/src/boost/libs/math/test/binomial_quantile.ipp b/src/boost/libs/math/test/binomial_quantile.ipp
new file mode 100644
index 00000000..86f0c9a5
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_quantile.ipp
@@ -0,0 +1,4042 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<T, 5>, 4032> binomial_quantile_data = {{
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.28467385230321224203411154382440248724380832183117) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.25727865882740919932840773421531232758964168093055) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(0.0), SC_(0.035694410305790976496105074803969225386555435216338) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(0.11873939407970113038114981488058971337236924303007), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(0.17128223695871555977493584741313475336874139582588), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(0.40618092349808500975883593147831009145063213747834), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(0.43899397179953045991755739555886582435275603281127), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(0.799870552103486022724664124290614736962329408812), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.31872738789970909485536768848150766202976148899251) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.29102994230646182726533783572628827290811626372966) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(0.0), SC_(0.066564891771854913273348344758795546234545331752506) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(0.15078204185386621729912132630692143434650445884609), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(0.20400864316514337235281173322687950297863712869268), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(0.44143516661223776441613153671576118711196945856282), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(0.47453330316861439745293287393350226948540566881404), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(0.83739716340650425258932397703845268032687863038399), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.62037836131298603609519052823209625564881710064378) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.59093627733744182629509254823619511720015775666619) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.22103404998779296875), SC_(0.0), SC_(0.34807449373182945948809948184050473370388203786438) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.814723670482635498046875), SC_(0.44009477935063047177182669621147331809907557267519), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.835008561611175537109375), SC_(0.49769020155560349641877333505982794296467077593034), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.905791938304901123046875), SC_(0.74944500698304949182235362474586290610889103220154), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.9133758544921875), SC_(0.78387321971706370473245717801953625642542459567953), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.968867778778076171875), SC_(1.1498981366557770839693825192073836593340168170678), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(0.49788422454509726888212532584283407165868239438731), SC_(1.7926192943764322245525372122405254834085320140091) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(0.52684446645645143763351083479730514213286478982046), SC_(1.7800376961833357223696231469588443580528305056426) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.22103404998779296875), SC_(0.76404470698225093423433928273194254681576983826729), SC_(1.6575789550348265198775169987571194771809264616601) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(1.7079778135930259197017395920782252633535682554395), SC_(0.67451997209260747234500120079260379985847433758707) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(1.7370140616146297876215882640682879489503844226303), SC_(0.61826978524366906854726038797379514512007309468525) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(1.8422676954366467819691658272374144020837995309592), SC_(0.37038562663058272269915604803279695742811766811068) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.9133758544921875), SC_(1.8540370189939540680880864847938744361486513005951), SC_(0.33622087984946386620856678308455255506401496039699) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(1.9445446166763026262975190991518462099527425413065), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(0.56958071116299011326336908222173795424895818167301), SC_(1.8137304876186701320041037003716921955178542458777) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(0.5981209280634265150735741168005063416283431515107), SC_(1.8021715458778761995268427585444094026357861343759) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.22103404998779296875), SC_(0.83090525438122511558400411768603959990549654637303), SC_(1.6886385783899505992169862804407221877862974299577) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(1.7355710512108993168349123864726150726576737171558), SC_(0.74325147999645043591309459835699081406440836189148) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(1.7624843207443737418084928974357752849439279812566), SC_(0.68804994566426817141775845555990924647720468985401) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(1.8591104224011548582974193339913952604895234253212), SC_(0.44361740870722582924969757610991167298608216875062) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.9133758544921875), SC_(1.8698085272287528501704175046677138004183965889567), SC_(0.40977531663720771089918606908851370822175913476053) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(1.9511576367649285600816205566246603680285988358087), SC_(0.04270968378107433525053371598152689901997251726038) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(0.85726514749037069310481801247489294724056715593457), SC_(1.8804012228077026734797789762290784583931682768768) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(0.88317282091352864079844947551166117006159739583613), SC_(1.8724468451410620279960951785191670507195296736355) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.22103404998779296875), SC_(1.0910330409403430891037561412815026317636099593003), SC_(1.7917361917429781245858890856792542281128619769022) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(1.8256368040155375748945733586742605410385625353702), SC_(1.0134903208545149583207088570984469685131364451052) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(1.8447459049829273901888950923074855808716795544247), SC_(0.96420439216641466386114172651122642007725184484882) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(1.9110961325206285706348172771253849974988114040724), SC_(0.74181276998520831022621554064240699221049217515329) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.9133758544921875), SC_(1.9182016049508608107144693813859479953781777592049), SC_(0.71048287939882036081575390191907931744136876928891) }}, 
+      {{ SC_(2.0), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(1.9704054870490370002358180573372532707004531569272), SC_(0.36148284689566546008465068509644207578794848416303) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.12698681652545928955078125), SC_(0.89304497468867083816771394620213863419351236317246), SC_(1.8870232605851419470398115356711266643254699771051) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.135477006435394287109375), SC_(0.91851945191911824076604443011738717499646726916982), SC_(1.8794600719495634932055235107252033034069412489192) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.22103404998779296875), SC_(1.1224843497731917039711130632336027140465423975867), SC_(1.8024497787541843720192470688348029663403440451005) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.814723670482635498046875), SC_(1.83485221156906006833275716665342524466131493622), SC_(1.0464844000705148022237920054031962146037112159275) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.835008561611175537109375), SC_(1.8530821242970069710452437452965833721890011728762), SC_(0.99812279051607284064880069674044726059897838816945) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.905791938304901123046875), SC_(1.916157535857756708867513265885680286333674160506), SC_(0.77938820736848709904568261768475993485626028602912) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.9133758544921875), SC_(1.9228895086526470247831260416402280392514808687008), SC_(0.74850804304125107192927556102838634718019846833922) }}, 
+      {{ SC_(2.0), SC_(0.9133758544921875), SC_(0.968867778778076171875), SC_(1.9721908607758403884646499241470186512990610404954), SC_(0.40343052762669687946310568011982924189671555341509) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(1.219201450126183079318676263646153854601579006327), SC_(1.9350373809079666836999431876137104944574428624569) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(1.2396148960321004151359986179895006135495084676892), SC_(1.9304973628928072264207215026173314973900010140732) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.22103404998779296875), SC_(1.3999337004234246540631799267105791681544589227942), SC_(1.8830751425475383580386501751033238159943302559557) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(1.9032845197351552805024834424312366828109880544359), SC_(1.3408612705720849488466007423034897969311893922241) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(1.914493646816680323502341300602515574175713346603), SC_(1.3028550425520181746307970074911468699561794578722) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(1.9523148075028214318426363845910557072771253778725), SC_(1.1271112472563136150093623218081584509971585071423) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.9133758544921875), SC_(1.9562579226009881088210671421944586716867895152512), SC_(1.1018080012426695411192973371485245069943322457214) }}, 
+      {{ SC_(2.0), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(1.9845388981027882440443564122236200930250308142901), SC_(0.81086993731498529375959228825686023902845921423536) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.98623278039249983055367190826649550767964102350066) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.94751865114509654788699818254669665586168646980629) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(0.0), SC_(0.63435737469237153077636493055394066544839817811588) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(0.75180331636922892930414680942120817288497273719322), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(0.82603778851222148995690317375710549667980365212588), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(1.1581874398122557751430288786976914445338371286637), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(1.2047260115460347237384722365368913393827499369116), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(1.7222813467832163936085179872509517305850813908258), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(0.0), SC_(1.0536616398767741175571384251069263904563260329049) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(0.0), SC_(1.0143389872728294158583141289706818563116343122007) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(0.0), SC_(0.69577346685700638510895765169789898304376204545473) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(0.81535057424234387885782011768010296348911856823941), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(0.89086613998938100916999942884599995479582130021435), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(1.2281721288812144259762950861100933862618489601052), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(1.2753623411342921726673104381269474406910664386496), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(1.7990792422175226600058902129912553099189026754717), SC_(0.0) }}, 
+      {{ SC_(5.0), SC_(0.22103404998779296875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(1.6737020653136916733596535716772165435972364026522) }}, 
+      {{ SC_(5.0), SC_(0.22103404998779296875), SC_(0.135477006435394287109375), SC_(0.0), SC_(1.6302225326949068773517679248673352546636487857346) }}, 
+      {{ SC_(5.0), SC_(0.22103404998779296875), SC_(0.22103404998779296875), SC_(0.0), SC_(1.2734396958135111632456063081488867212152513694408) }}, 
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+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(392.43837928481028126646073601917700733527343373877), SC_(378.15403266219698379771114242082032368969242437767) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(393.0494049218549429851402512675154900185236854482), SC_(377.51009193924422812717110873059467516599044508596) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(395.68054520295444541561872495346098157216590762668), SC_(374.7042003492121975403116531525070739928849275944) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.9133758544921875), SC_(396.03750015577938107018070400739144079347599034163), SC_(374.31934482163543166773732423558235755036350427585) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(399.85655233600266888086901662617538469166965290174), SC_(370.13713023266072785880996336774329538400032584841) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(410.77841779603348299009132062991806834191114132292), SC_(425.09192836850669467964774217200606567091489385596) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(411.04050019870873412928204791009626631793165778548), SC_(424.85409990428803893880371527354629061091777136208) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.22103404998779296875), SC_(413.20743037050376397313177889683126115801350031291), SC_(422.85557132516048428686099311119423735829582532068) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(423.62181315216437335232445710883865624489575861881), SC_(412.384010755884455878159061159658137846137080341) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(424.09539327494980230925529034323151094008499154172), SC_(411.87052691167998064749135957293786099905640575261) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(426.12723517699196060712792921408370314767680064867), SC_(409.62678643346206726187796520740152524187070973137) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.9133758544921875), SC_(426.4019321011556842693438692165731311536954876857), SC_(409.31825123167004990102031796718648244988746090145) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(429.32593469528266849431422550896091856464531454781), SC_(405.95362577891838024646713447954699109277704571247) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.12698681652545928955078125), SC_(414.54749317241684103166151201044157289557560066664), SC_(428.32887976389006323958081567847829759072678046843) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.135477006435394287109375), SC_(414.80049552840271675364275050243742214362718825342), SC_(428.10058981763657174736653663422610344943505276056) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.22103404998779296875), SC_(416.89150989421192572249673797944131156939052148208), SC_(426.18115473504837209951197968533905334246040854066) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.814723670482635498046875), SC_(426.91729194717382243189697410571951485038139257899), SC_(416.09711705955833706875763226722903633636646325407) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.835008561611175537109375), SC_(427.37213017802529379127292358079248928283540824397), SC_(415.60162223352377968657825664449093045486831839776) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.905791938304901123046875), SC_(429.3223377515598904641695530576862301200922783231), SC_(413.4355089091988924882925074231621936947576819029) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.9133758544921875), SC_(429.5858401370714466977766917756196697426616416387), SC_(413.13752688833461862829157641357569678006403754388) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.968867778778076171875), SC_(432.38818207988393867668921543142972096521280530344), SC_(409.88617366468320542592944593518289804952858533401) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(442.82393191141749173724816325072326820230463861198), SC_(451.31614712317827841869644152156836743662631399408) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(442.98606274891854929687497244464980968557637066531), SC_(451.1821745050413112505324438707834719314419238511) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.22103404998779296875), SC_(444.31831042243092829560186140968343282457861353281), SC_(450.04528422783410389071851518631959672024544710996) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(450.48346315283352091572919321540490887699874734837), SC_(443.81383106654679638874061205590535899657992881982) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(450.75287287219138398255983761247801341317357905199), SC_(443.49813299555706441752047724189621951549274423869) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(451.89591732812948291460872123812941435040707992501), SC_(442.10903364493891816867430327722153866406411695147) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.9133758544921875), SC_(452.0487864202684433692288504005674021335799201021), SC_(441.91683192409503729874122861358957872208941993018) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(453.64921455609407364749407038846093208870919124129), SC_(439.80319758393201038757522213012342652322688527575) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/bivariate_statistics_test.cpp b/src/boost/libs/math/test/bivariate_statistics_test.cpp
new file mode 100644
index 00000000..82feeb72
--- /dev/null
+++ b/src/boost/libs/math/test/bivariate_statistics_test.cpp
@@ -0,0 +1,170 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <iostream>
+#include <iomanip>
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/bivariate_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+using  boost::math::statistics::means_and_covariance;
+using  boost::math::statistics::covariance;
+
+template<class Real>
+void test_covariance()
+{
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10+1);
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using std::abs;
+
+    // Covariance of a single thing is zero:
+    std::array<Real, 1> u1{8};
+    std::array<Real, 1> v1{17};
+    auto [mu_u1, mu_v1, cov1] = means_and_covariance(u1, v1);
+
+    BOOST_TEST(abs(cov1) < tol);
+    BOOST_TEST(abs(mu_u1 - 8) < tol);
+    BOOST_TEST(abs(mu_v1 - 17) < tol);
+
+
+    std::array<Real, 2> u2{8, 4};
+    std::array<Real, 2> v2{3, 7};
+    auto [mu_u2, mu_v2, cov2] = means_and_covariance(u2, v2);
+
+    BOOST_TEST(abs(cov2+4) < tol);
+    BOOST_TEST(abs(mu_u2 - 6) < tol);
+    BOOST_TEST(abs(mu_v2 - 5) < tol);
+
+    std::vector<Real> u3{1,2,3};
+    std::vector<Real> v3{1,1,1};
+
+    auto [mu_u3, mu_v3, cov3] = means_and_covariance(u3, v3);
+
+    // Since v is constant, covariance(u,v) = 0 against everything any u:
+    BOOST_TEST(abs(cov3) < tol);
+    BOOST_TEST(abs(mu_u3 - 2) < tol);
+    BOOST_TEST(abs(mu_v3 - 1) < tol);
+    // Make sure we pull the correct symbol out of means_and_covariance:
+    cov3 = covariance(u3, v3);
+    BOOST_TEST(abs(cov3) < tol);
+
+    cov3 = covariance(v3, u3);
+    // Covariance is symmetric: cov(u,v) = cov(v,u)
+    BOOST_TEST(abs(cov3) < tol);
+
+    // cov(u,u) = sigma(u)^2:
+    cov3 = covariance(u3, u3);
+    Real expected = Real(2)/Real(3);
+
+    BOOST_TEST(abs(cov3 - expected) < tol);
+
+    std::mt19937 gen(15);
+    // Can't template standard library on multiprecision, so use double and cast back:
+    std::uniform_real_distribution<double> dis(-1.0, 1.0);
+    std::vector<Real> u(500);
+    std::vector<Real> v(500);
+    for(size_t i = 0; i < u.size(); ++i)
+    {
+        u[i] = (Real) dis(gen);
+        v[i] = (Real) dis(gen);
+    }
+
+    Real mu_u = boost::math::statistics::mean(u);
+    Real mu_v = boost::math::statistics::mean(v);
+    Real sigma_u_sq = boost::math::statistics::variance(u);
+    Real sigma_v_sq = boost::math::statistics::variance(v);
+
+    auto [mu_u_, mu_v_, cov_uv] = means_and_covariance(u, v);
+    BOOST_TEST(abs(mu_u - mu_u_) < tol);
+    BOOST_TEST(abs(mu_v - mu_v_) < tol);
+
+    // Cauchy-Schwartz inequality:
+    BOOST_TEST(cov_uv*cov_uv <= sigma_u_sq*sigma_v_sq);
+    // cov(X, X) = sigma(X)^2:
+    Real cov_uu = covariance(u, u);
+    BOOST_TEST(abs(cov_uu - sigma_u_sq) < tol);
+    Real cov_vv = covariance(v, v);
+    BOOST_TEST(abs(cov_vv - sigma_v_sq) < tol);
+
+}
+
+template<class Real>
+void test_correlation_coefficient()
+{
+    using boost::math::statistics::correlation_coefficient;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> u{1};
+    std::vector<Real> v{1};
+    Real rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1,1};
+    v = {1,1};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1, 2, 3};
+    v = {1, 2, 3};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1, 2, 3};
+    v = {-1, -2, -3};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv + 1) < tol);
+
+    rho_uv = correlation_coefficient(v, u);
+    BOOST_TEST(abs(rho_uv + 1) < tol);
+
+    u = {1, 2, 3};
+    v = {0, 0, 0};
+    rho_uv = correlation_coefficient(v, u);
+    BOOST_TEST(abs(rho_uv) < tol);
+
+    u = {1, 2, 3};
+    v = {0, 0, 3};
+    rho_uv = correlation_coefficient(v, u);
+    // mu_u = 2, sigma_u^2 = 2/3, mu_v = 1, sigma_v^2 = 2, cov(u,v) = 1.
+    BOOST_TEST(abs(rho_uv - sqrt(Real(3))/Real(2)) < tol);
+}
+
+int main()
+{
+    test_covariance<float>();
+    test_covariance<double>();
+    test_covariance<long double>();
+    test_covariance<cpp_bin_float_50>();
+
+    test_correlation_coefficient<float>();
+    test_correlation_coefficient<double>();
+    test_correlation_coefficient<long double>();
+    test_correlation_coefficient<cpp_bin_float_50>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_b_spline_test.cpp
new file mode 100644
index 00000000..0ec92cc9
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_b_spline_test.cpp
@@ -0,0 +1,290 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/math/special_functions/cardinal_b_spline.hpp>
+#include <boost/math/interpolators/detail/cubic_b_spline_detail.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::cardinal_b_spline;
+using boost::math::cardinal_b_spline_prime;
+using boost::math::forward_cardinal_b_spline;
+using boost::math::cardinal_b_spline_double_prime;
+
+
+template<class Real>
+void test_box()
+{
+    Real t = cardinal_b_spline<0>(Real(1.1));
+    Real expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+    CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<0>(Real(1.1)), 0);
+
+    t = cardinal_b_spline<0>(Real(-1.1));
+    expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    Real h = Real(1)/Real(256);
+    for (t = -Real(1)/Real(2)+h; t < Real(1)/Real(2); t += h)
+    {
+        expected = 1;
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline<0>(t), 0);
+        expected = 0;
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<0>(Real(1.1)), 0);
+    }
+
+    for (t = h; t < 1; t += h)
+    {
+        expected = 1;
+        CHECK_ULP_CLOSE(expected, forward_cardinal_b_spline<0>(t), 0);
+    }
+}
+
+template<class Real>
+void test_hat()
+{
+    Real t = cardinal_b_spline<1>(Real(2.1));
+    Real expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    t = cardinal_b_spline<1>(Real(-2.1));
+    expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    Real h = Real(1)/Real(256);
+    for (t = -1; t <= 1; t += h)
+    {
+        expected = 1-abs(t);
+        if(!CHECK_ULP_CLOSE(expected, cardinal_b_spline<1>(t), 0) )
+        {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+        if (t == -Real(1)) {
+            if (!CHECK_ULP_CLOSE(Real(1)/Real(2), cardinal_b_spline_prime<1>(t), 0)) {
+                std::cout << "  Problem at t = " << t << "\n";
+            }
+        }
+        else if (t == Real(1)) {
+            CHECK_ULP_CLOSE(-Real(1)/Real(2), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t < 0) {
+            CHECK_ULP_CLOSE(Real(1), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t == 0) {
+            CHECK_ULP_CLOSE(Real(0), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t > 0) {
+            CHECK_ULP_CLOSE(Real(-1), cardinal_b_spline_prime<1>(t), 0);
+        }
+    }
+
+    for (t = 0; t < 2; t += h)
+    {
+        expected = 1 - abs(t-1);
+        CHECK_ULP_CLOSE(expected, forward_cardinal_b_spline<1>(t), 0);
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    using std::abs;
+    auto b2 = [](Real x) {
+        Real absx = abs(x);
+        if (absx >= 3/Real(2)) {
+            return Real(0);
+        }
+        if (absx >= 1/Real(2)) {
+            Real t = absx - 3/Real(2);
+            return t*t/2;
+        }
+        Real t1 = absx - 1/Real(2);
+        Real t2 = absx + 1/Real(2);
+        return (2-t1*t1 -t2*t2)/2;
+    };
+
+    auto b2_prime = [&](Real x)->Real {
+        Real absx = abs(x);
+        Real signx  = 1;
+        if (x < 0) {
+            signx = -1;
+        }
+        if (absx >= 3/Real(2)) {
+            return Real(0);
+        }
+        if (absx >= 1/Real(2)) {
+            return (absx - 3/Real(2))*signx;
+        }
+        return -2*absx*signx;
+    };
+
+
+    Real h = 1/Real(256);
+    for (Real t = -5; t <= 5; t += h) {
+        Real expected = b2(t);
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline<2>(t), 0);
+        expected = b2_prime(t);
+
+        if (!CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<2>(t), 0))
+        {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+
+    }
+}
+
+template<class Real>
+void test_cubic()
+{
+    Real expected = Real(2)/Real(3);
+    Real computed = cardinal_b_spline<3, Real>(0);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    expected = Real(1)/Real(6);
+    computed = cardinal_b_spline<3, Real>(1);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    expected = Real(0);
+    computed = cardinal_b_spline<3, Real>(2);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    Real h = 1/Real(256);
+    for (Real t = -4; t <= 4; t += h) {
+        expected = boost::math::detail::b3_spline_prime<Real>(t);
+        computed = cardinal_b_spline_prime<3>(t);
+        CHECK_ULP_CLOSE(expected, computed, 0);
+        expected = boost::math::detail::b3_spline_double_prime<Real>(t);
+        computed = cardinal_b_spline_double_prime<3>(t);
+        if (!CHECK_ULP_CLOSE(expected, computed, 0)) {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+    }
+}
+
+template<class Real>
+void test_quintic()
+{
+  Real expected = Real(11)/Real(20);
+  Real computed = cardinal_b_spline<5, Real>(0);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+  expected = Real(13)/Real(60);
+  computed = cardinal_b_spline<5, Real>(1);
+  CHECK_ULP_CLOSE(expected, computed, 1);
+
+  expected = Real(1)/Real(120);
+  computed = cardinal_b_spline<5, Real>(2);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+  expected = Real(0);
+  computed = cardinal_b_spline<5, Real>(3);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+}
+
+template<unsigned n, typename Real>
+void test_b_spline_derivatives()
+{
+    Real h = 1/Real(256);
+    Real supp = (n+Real(1))/Real(2);
+    for (Real t = -supp - 1; t <= supp+1; t+= h)
+    {
+        Real expected = cardinal_b_spline<n-1>(t+Real(1)/Real(2)) - cardinal_b_spline<n-1>(t - Real(1)/Real(2));
+        Real computed = cardinal_b_spline_prime<n>(t);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, std::numeric_limits<Real>::epsilon());
+
+        expected = cardinal_b_spline<n-2>(t+1) - 2*cardinal_b_spline<n-2>(t) + cardinal_b_spline<n-2>(t-1);
+        computed = cardinal_b_spline_double_prime<n>(t);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 2*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<unsigned n, typename Real>
+void test_partition_of_unity()
+{
+  std::mt19937 gen(323723);
+  Real supp = (n+1.0)/2.0;
+  std::uniform_real_distribution<Real> dis(-supp, -supp+1);
+
+  for(size_t i = 0; i < 500; ++i) {
+    Real x = dis(gen);
+    Real one = 0;
+    while (x < supp) {
+        one += cardinal_b_spline<n>(x);
+        x += 1;
+    }
+    if(!CHECK_ULP_CLOSE(Real(1), one, n)) {
+      std::cerr << "  Partition of unity failure at n = " << n << "\n";
+    }
+  }
+}
+
+
+int main()
+{
+    test_box<float>();
+    test_box<double>();
+    test_box<long double>();
+
+    test_hat<float>();
+    test_hat<double>();
+    test_hat<long double>();
+
+    test_quadratic<float>();
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_cubic<float>();
+    test_cubic<double>();
+    test_cubic<long double>();
+
+    test_quintic<float>();
+    test_quintic<double>();
+    test_quintic<long double>();
+
+    test_partition_of_unity<1, double>();
+    test_partition_of_unity<2, double>();
+    test_partition_of_unity<3, double>();
+    test_partition_of_unity<4, double>();
+    test_partition_of_unity<5, double>();
+    test_partition_of_unity<6, double>();
+
+    test_b_spline_derivatives<3, double>();
+    test_b_spline_derivatives<4, double>();
+    test_b_spline_derivatives<5, double>();
+    test_b_spline_derivatives<6, double>();
+    test_b_spline_derivatives<7, double>();
+    test_b_spline_derivatives<8, double>();
+    test_b_spline_derivatives<9, double>();
+
+    test_b_spline_derivatives<3, long double>();
+    test_b_spline_derivatives<4, long double>();
+    test_b_spline_derivatives<5, long double>();
+    test_b_spline_derivatives<6, long double>();
+    test_b_spline_derivatives<7, long double>();
+    test_b_spline_derivatives<8, long double>();
+    test_b_spline_derivatives<9, long double>();
+
+
+#ifdef BOOST_HAS_FLOAT128
+    test_box<float128>();
+    test_hat<float128>();
+    test_quadratic<float128>();
+    test_cubic<float128>();
+    test_quintic<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp
new file mode 100644
index 00000000..21daeb4c
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp
@@ -0,0 +1,351 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE test_cubic_b_spline
+
+#include <random>
+#include <functional>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+#include <boost/math/interpolators/detail/cardinal_cubic_b_spline_detail.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::constants::third;
+using boost::math::constants::half;
+
+template<class Real>
+void test_b3_spline()
+{
+    std::cout << "Testing evaluation of spline basis functions on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // Outside the support:
+    Real eps = std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(-2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(-2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_double_prime<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_double_prime<Real>(-2.5), (Real) 0);
+
+
+    // On the boundary of support:
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(-2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(-2), (Real) 0);
+
+    // Special values:
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(-1), third<Real>()*half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>( 1), third<Real>()*half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(0), 2*third<Real>(), eps);
+
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>(-1), half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>( 1), -half<Real>(), eps);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(0), eps);
+
+    // Properties: B3 is an even function, B3' is an odd function.
+    for (size_t i = 1; i < 200; ++i)
+    {
+        Real arg = i*0.01;
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(arg), boost::math::interpolators::detail::b3_spline<Real>(arg), eps);
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>(-arg), -boost::math::interpolators::detail::b3_spline_prime<Real>(arg), eps);
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_double_prime<Real>(-arg), boost::math::interpolators::detail::b3_spline_double_prime<Real>(arg), eps);
+    }
+
+}
+/*
+ * This test ensures that the interpolant s(x_j) = f(x_j) at all grid points.
+ */
+template<class Real>
+void test_interpolation_condition()
+{
+    using std::sqrt;
+    std::cout << "Testing interpolation condition for cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::random_device rd;
+    std::mt19937 gen(rd());
+    boost::random::uniform_real_distribution<Real> dis(1, 10);
+    std::vector<Real> v(5000);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = dis(gen);
+    }
+
+    Real step = 0.01;
+    Real a = 5;
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real y = spline(i*step + a);
+        // This seems like a very large tolerance, but I don't know of any other interpolators
+        // that will be able to do much better on random data.
+        BOOST_CHECK_CLOSE(y, v[i], 10000*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+
+}
+
+
+template<class Real>
+void test_constant_function()
+{
+    std::cout << "Testing that constants are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real constant = 50.2;
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 50.2;
+    }
+
+    Real step = 0.02;
+    Real a = 5;
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        // Do not test at interpolation point; we already know it works there:
+        Real y = spline(i*step + a + 0.001);
+        BOOST_CHECK_CLOSE(y, constant, 10*std::numeric_limits<Real>::epsilon());
+        Real y_prime = spline.prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_prime, 5000*std::numeric_limits<Real>::epsilon());
+        Real y_double_prime = spline.double_prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_double_prime, 5000*std::numeric_limits<Real>::epsilon());
+
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), a, step, 0, 0);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real y = spline(i*step + a + 0.002);
+        BOOST_CHECK_CLOSE(y, constant, std::numeric_limits<Real>::epsilon());
+        Real y_prime = spline.prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_prime, std::numeric_limits<Real>::epsilon());
+    }
+
+    //
+    // Again with iterator constructor:
+    //
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline2(v.begin(), v.end(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+       // Do not test at interpolation point; we already know it works there:
+       Real y = spline2(i*step + a + 0.001);
+       BOOST_CHECK_CLOSE(y, constant, 10 * std::numeric_limits<Real>::epsilon());
+       Real y_prime = spline2.prime(i*step + a + 0.002);
+       BOOST_CHECK_SMALL(y_prime, 5000 * std::numeric_limits<Real>::epsilon());
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline2 = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.begin(), v.end(), a, step, 0, 0);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+       Real y = spline2(i*step + a + 0.002);
+       BOOST_CHECK_CLOSE(y, constant, std::numeric_limits<Real>::epsilon());
+       Real y_prime = spline2.prime(i*step + a + 0.002);
+       BOOST_CHECK_SMALL(y_prime, std::numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_affine_function()
+{
+    using std::sqrt;
+    std::cout << "Testing that affine functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real a = 10;
+    Real b = 8;
+    Real step = 0.005;
+
+    auto f = [a, b](Real x) { return a*x + b; };
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = f(i*step);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), 0, step);
+
+    for (size_t i = 0; i < v.size() - 1; ++i)
+    {
+        Real arg = i*step + 0.0001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), sqrt(std::numeric_limits<Real>::epsilon()));
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, a, 100*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), 0, step, a, a);
+
+    for (size_t i = 0; i < v.size() - 1; ++i)
+    {
+        Real arg = i*step + 0.0001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), sqrt(std::numeric_limits<Real>::epsilon()));
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, a, 100*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_quadratic_function()
+{
+    using std::sqrt;
+    std::cout << "Testing that quadratic functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real a = 1.2;
+    Real b = -3.4;
+    Real c = -8.6;
+    Real step = 0.01;
+
+    auto f = [a, b, c](Real x) { return a*x*x + b*x + c; };
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = f(i*step);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), 0, step);
+
+    for (size_t i = 0; i < v.size() -1; ++i)
+    {
+        Real arg = i*step + 0.001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), 0.1);
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, 2*a*arg + b, 2.0);
+    }
+}
+
+
+template<class Real>
+void test_trig_function()
+{
+    std::cout << "Testing that sine functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::mt19937 gen;
+    std::vector<Real> v(500);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+    boost::random::uniform_real_distribution<Real> absissa(x0, x0 + 499 * step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real x = absissa(gen);
+        Real y = spline(x);
+        BOOST_CHECK_CLOSE(y, sin(x), 1.0);
+        auto y_prime = spline.prime(x);
+        BOOST_CHECK_CLOSE(y_prime, cos(x), 2.0);
+    }
+}
+
+template<class Real>
+void test_copy_move()
+{
+    std::cout << "Testing that copy/move operation succeed on cubic b spline\n";
+    std::vector<Real> v(500);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+
+    // Default constructor should compile so that splines can be member variables:
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> d;
+    d = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), x0, step);
+    BOOST_CHECK_CLOSE(d(x0), sin(x0), 0.01);
+    // Passing to lambda should compile:
+    auto f = [=](Real x) { return d(x); };
+    // Make sure this variable is used.
+    BOOST_CHECK_CLOSE(f(x0), sin(x0), 0.01);
+
+    // Move operations should compile.
+    auto s = std::move(spline);
+
+    // Copy operations should compile:
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> c = d;
+    BOOST_CHECK_CLOSE(c(x0), sin(x0), 0.01);
+
+    // Test with std::bind:
+    auto h = std::bind(&boost::math::interpolators::cardinal_cubic_b_spline<double>::operator(), &s, std::placeholders::_1);
+    BOOST_CHECK_CLOSE(h(x0), sin(x0), 0.01);
+}
+
+template<class Real>
+void test_outside_interval()
+{
+    std::cout << "Testing that the spline can be evaluated outside the interpolation interval\n";
+    std::vector<Real> v(400);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+    // There's no test here; it simply does it's best to be an extrapolator.
+    //
+    std::ostream cnull(0);
+    cnull << spline(0);
+    cnull << spline(2000);
+}
+
+BOOST_AUTO_TEST_CASE(test_cubic_b_spline)
+{
+    test_b3_spline<float>();
+    test_b3_spline<double>();
+    test_b3_spline<long double>();
+    test_b3_spline<cpp_bin_float_50>();
+
+    test_interpolation_condition<float>();
+    test_interpolation_condition<double>();
+    test_interpolation_condition<long double>();
+    test_interpolation_condition<cpp_bin_float_50>();
+
+    test_constant_function<float>();
+    test_constant_function<double>();
+    test_constant_function<long double>();
+    test_constant_function<cpp_bin_float_50>();
+
+    test_affine_function<float>();
+    test_affine_function<double>();
+    test_affine_function<long double>();
+    test_affine_function<cpp_bin_float_50>();
+
+    test_quadratic_function<float>();
+    test_quadratic_function<double>();
+    test_quadratic_function<long double>();
+    test_affine_function<cpp_bin_float_50>();
+
+    test_trig_function<float>();
+    test_trig_function<double>();
+    test_trig_function<long double>();
+    test_trig_function<cpp_bin_float_50>();
+
+    test_copy_move<double>();
+    test_outside_interval<double>();
+}
diff --git a/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp
new file mode 100644
index 00000000..33ad0efe
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp
@@ -0,0 +1,130 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <boost/math/interpolators/cardinal_quadratic_b_spline.hpp>
+using boost::math::interpolators::cardinal_quadratic_b_spline;
+
+template<class Real>
+void test_constant()
+{
+    Real c = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> v(n, c);
+    auto qbs = cardinal_quadratic_b_spline<Real>(v.data(), v.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 100*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 300*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 150*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_linear()
+{
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+    auto qbs = cardinal_quadratic_b_spline<Real>(y.data(), y.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 2);
+      CHECK_ULP_CLOSE(m, qbs.prime(t), 820);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    Real a = 8.2;
+    Real b = 7.2;
+    Real c = -9.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    Real t_max = t0 + (n-1)*h;
+    auto qbs = cardinal_quadratic_b_spline<Real>(y, t0, h, b, 2*a*t_max + b);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 2);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 47);
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 104)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+int main()
+{
+    test_constant<float>();
+    test_constant<double>();
+    test_constant<long double>();
+
+    test_linear<float>();
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp
new file mode 100644
index 00000000..31b9fd91
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp
@@ -0,0 +1,296 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <boost/math/interpolators/cardinal_quintic_b_spline.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+using boost::math::interpolators::cardinal_quintic_b_spline;
+
+template<class Real>
+void test_constant()
+{
+    Real c = 7.5;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> v(n, c);
+    std::pair<Real, Real> left_endpoint_derivatives{0, 0};
+    std::pair<Real, Real> right_endpoint_derivatives{0, 0};
+    auto qbs = cardinal_quintic_b_spline<Real>(v.data(), v.size(), t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 400*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 60000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 5);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 600*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 30000*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 4);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 600*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 10000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_constant_estimate_derivatives()
+{
+    Real c = 7.5;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> v(n, c);
+    auto qbs = cardinal_quintic_b_spline<Real>(v.data(), v.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 200000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 8);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 80000*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 5);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 38000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_linear()
+{
+    using std::abs;
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+    std::pair<Real, Real> left_endpoint_derivatives{m, 0};
+    std::pair<Real, Real> right_endpoint_derivatives{m, 0};
+    auto qbs = cardinal_quintic_b_spline<Real>(y.data(), y.size(), t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      if (!CHECK_ULP_CLOSE(m*t+b, qbs(t), 3)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 100*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(0, qbs.double_prime(t), 10000*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 3000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_linear_estimate_derivatives()
+{
+    using std::abs;
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+
+    auto qbs = cardinal_quintic_b_spline<Real>(y.data(), y.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      if (!CHECK_ULP_CLOSE(m*t+b, qbs(t), 3)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 100*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(0, qbs.double_prime(t), 20000*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 5)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 3000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_quadratic()
+{
+    Real a = Real(1)/Real(16);
+    Real b = -3.5;
+    Real c = -9;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    Real t_max = t0 + (n-1)*h;
+    std::pair<Real, Real> left_endpoint_derivatives{b, 2*a};
+    std::pair<Real, Real> right_endpoint_derivatives{2*a*t_max + b, 2*a};
+
+    auto qbs = cardinal_quintic_b_spline<Real>(y, t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 3);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n -1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 5)) {
+          std::cerr << "  Problem at abscissa t = " << t << "\n";
+      }
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 5)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_quadratic_estimate_derivatives()
+{
+    Real a = Real(1)/Real(16);
+    Real b = -3.5;
+    Real c = -9;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    auto qbs = cardinal_quintic_b_spline<Real>(y, t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 3);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n -1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 10)) {
+          std::cerr << "  Problem at abscissa t = " << t << "\n";
+      }
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 6)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+
+int main()
+{
+    test_constant<double>();
+    test_constant<long double>();
+
+    test_constant_estimate_derivatives<double>();
+    test_constant_estimate_derivatives<long double>();
+
+    test_linear<float>();
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_linear_estimate_derivatives<double>();
+    test_linear_estimate_derivatives<long double>();
+
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_quadratic_estimate_derivatives<double>();
+    test_quadratic_estimate_derivatives<long double>();
+
+
+    #ifdef BOOST_HAS_FLOAT128
+        test_constant<float128>();
+        test_linear<float128>();
+        test_linear_estimate_derivatives<float128>();
+    #endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_trigonometric_test.cpp b/src/boost/libs/math/test/cardinal_trigonometric_test.cpp
new file mode 100644
index 00000000..99db9cd4
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_trigonometric_test.cpp
@@ -0,0 +1,233 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/interpolators/cardinal_trigonometric.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+
+using std::sin;
+using boost::math::constants::two_pi;
+using boost::math::interpolators::cardinal_trigonometric;
+
+template<class Real>
+void test_constant()
+{
+    Real t0 = 0;
+    Real h = 1;
+    for(size_t n = 1; n < 20; ++n)
+    {
+      Real c = 8;
+      std::vector<Real> v(n, c);
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(c, ct(0.3), 3);
+      CHECK_ULP_CLOSE(c*h*n, ct.integrate(), 3);
+      CHECK_ULP_CLOSE(c*c*h*n, ct.squared_l2(), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.prime(0.8), 25*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.double_prime(0.8), 25*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition()
+{
+  std::mt19937 gen(1234);
+  std::uniform_real_distribution<Real> dis(1, 10);
+
+  for(size_t n = 1; n < 20; ++n) {
+    Real t0 = dis(gen);
+    Real h = dis(gen);
+    std::vector<Real> v(n);
+    for (size_t i = 0; i < n; ++i) {
+      v[i] = dis(gen);
+    }
+    auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+    for (size_t i = 0; i < n; ++i) {
+      Real arg = t0 + i*h;
+      Real expected = v[i];
+      Real computed = ct(arg);
+      if(!CHECK_ULP_CLOSE(expected, computed, 5*n))
+      {
+        std::cerr << "  Samples: " << n << "\n";
+      }
+    }
+  }
+
+}
+
+
+#ifdef BOOST_HAS_FLOAT128
+void test_constant_q()
+{
+    __float128 t0 = 0;
+    __float128 h = 1;
+    for(size_t n = 1; n < 20; ++n)
+    {
+      __float128 c = 8;
+      std::vector<__float128> v(n, c);
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(boost::multiprecision::float128(c), boost::multiprecision::float128(ct(0.3)), 3);
+      CHECK_ULP_CLOSE(boost::multiprecision::float128(c*h*n), boost::multiprecision::float128(ct.integrate()), 3);
+    }
+}
+#endif
+
+
+template<class Real>
+void test_sampled_sine()
+{
+    using std::sin;
+    using std::cos;
+    for (unsigned n = 15; n < 50; ++n)
+    {
+      Real t0 = 0;
+      Real T = 1;
+      Real h = T/n;
+      std::vector<Real> v(n);
+      auto s = [&](Real t) { return sin(two_pi<Real>()*(t-t0)/T);};
+      auto s_prime = [&](Real t) { return two_pi<Real>()*cos(two_pi<Real>()*(t-t0)/T)/T;};
+      auto s_double_prime = [&](Real t) { return -two_pi<Real>()*two_pi<Real>()*sin(two_pi<Real>()*(t-t0)/T)/(T*T);};
+      for(size_t j = 0; j < v.size(); ++j)
+      {
+          Real t = t0 + j*h;
+          v[j] = s(t);
+      }
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(T, ct.period(), 3);
+      std::mt19937 gen(1234);
+      std::uniform_real_distribution<Real> dist(0, 500);
+
+      unsigned j = 0;
+      while (j++ < 50) {
+        Real arg = dist(gen);
+        Real expected = s(arg);
+        Real computed = ct(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, std::numeric_limits<Real>::epsilon()*4000);
+
+        expected = s_prime(arg);
+        computed = ct.prime(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 18000*std::numeric_limits<Real>::epsilon());
+
+        expected = s_double_prime(arg);
+        computed = ct.double_prime(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 100000*std::numeric_limits<Real>::epsilon());
+
+      }
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.integrate(), std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_bump()
+{
+  using std::exp;
+  using std::abs;
+  using std::sqrt;
+  using std::pow;
+  auto bump = [](Real x)->Real { if (abs(x) >= 1) { return Real(0); } return exp(-Real(1)/(Real(1)-x*x)); };
+  auto bump_prime = [](Real x)->Real {
+      if (abs(x) >= 1) { return Real(0); }
+
+      return -2*x*exp(-Real(1)/(Real(1)-x*x))/pow(1-x*x,2);
+  };
+
+  auto bump_double_prime = [](Real x)->Real {
+      if (abs(x) >= 1) { return Real(0); }
+
+      return (6*pow(x,4)-2)*exp(-Real(1)/(Real(1)-x*x))/pow(1-x*x,4);
+  };
+
+
+  Real t0 = -1;
+  size_t n = 4096;
+  Real h = Real(2)/Real(n);
+
+  std::vector<Real> v(n);
+  for(size_t i = 0; i < n; ++i)
+  {
+      Real t = t0 + i*h;
+      v[i] = bump(t);
+  }
+
+  auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+  std::mt19937 gen(323723);
+  std::uniform_real_distribution<long double> dis(-0.9, 0.9);
+
+  size_t i = 0;
+  while (i++ < 1000)
+  {
+      Real t = static_cast<Real>(dis(gen));
+      Real expected = bump(t);
+      Real computed = ct(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 2*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occured at abscissa " << t << "\n";
+      }
+
+      expected = bump_prime(t);
+      computed = ct.prime(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 4000*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occured at abscissa " << t << "\n";
+      }
+
+      expected = bump_double_prime(t);
+      computed = ct.double_prime(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 4000*4000*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occured at abscissa " << t << "\n";
+      }
+
+
+  }
+
+  // Wolfram Alpha:
+  // NIntegrate[Exp[-1/(1-x*x)],{x,-1,1}]
+  CHECK_ULP_CLOSE(Real(0.443993816168079437823L), ct.integrate(), 3);
+
+  // NIntegrate[Exp[-2/(1-x*x)],{x,-1,1}]
+  CHECK_ULP_CLOSE(Real(0.1330861208449942715569473279553285713625791551628130055345002588895389L), ct.squared_l2(), 1);
+
+
+}
+
+
+int main()
+{
+
+#ifdef TEST1
+    test_constant<float>();
+    test_sampled_sine<float>();
+    test_bump<float>();
+    test_interpolation_condition<float>();
+#endif
+
+
+#ifdef TEST2
+    test_constant<double>();
+    test_sampled_sine<double>();
+    test_bump<double>();
+    test_interpolation_condition<double>();
+#endif
+
+#ifdef TEST3
+    test_constant<long double>();
+    test_sampled_sine<long double>();
+    test_bump<long double>();
+    test_interpolation_condition<long double>();
+#endif
+
+#ifdef TEST4
+#ifdef BOOST_HAS_FLOAT128
+test_constant_q();
+#endif
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/catmull_rom_test.cpp b/src/boost/libs/math/test/catmull_rom_test.cpp
new file mode 100644
index 00000000..d2cfa4f2
--- /dev/null
+++ b/src/boost/libs/math/test/catmull_rom_test.cpp
@@ -0,0 +1,427 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE catmull_rom_test
+
+#include <array>
+#include <random>
+#include <boost/cstdfloat.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/interpolators/catmull_rom.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+
+using std::abs;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::catmull_rom;
+
+template<class Real>
+void test_alpha_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::array<Real, 3> v1 = {0,0,0};
+    std::array<Real, 3> v2 = {1,0,0};
+    Real alpha = 0.5;
+    Real d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, alpha);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 0.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 1.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    v2[0] = 2;
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, alpha);
+    BOOST_CHECK_CLOSE_FRACTION(d, pow(2, (Real)1/ (Real) 2), tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 0.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 1.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 2, tol);
+}
+
+
+template<class Real>
+void test_linear()
+{
+    std::cout << "Testing that the Catmull-Rom spline interpolates linear functions correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, 3>> v(4);
+    v[0] = {0,0,0};
+    v[1] = {1,0,0};
+    v[2] = {2,0,0};
+    v[3] = {3,0,0};
+    catmull_rom<std::array<Real, 3>> cr(std::move(v));
+
+    // Test that the interpolation condition is obeyed:
+    BOOST_CHECK_CLOSE_FRACTION(cr.max_parameter(), 3, tol);
+    auto p0 = cr(0.0);
+    BOOST_CHECK_SMALL(p0[0], tol);
+    BOOST_CHECK_SMALL(p0[1], tol);
+    BOOST_CHECK_SMALL(p0[2], tol);
+    auto p1 = cr(1.0);
+    BOOST_CHECK_CLOSE_FRACTION(p1[0], 1, tol);
+    BOOST_CHECK_SMALL(p1[1], tol);
+    BOOST_CHECK_SMALL(p1[2], tol);
+
+    auto p2 = cr(2.0);
+    BOOST_CHECK_CLOSE_FRACTION(p2[0], 2, tol);
+    BOOST_CHECK_SMALL(p2[1], tol);
+    BOOST_CHECK_SMALL(p2[2], tol);
+
+
+    auto p3 = cr(3.0);
+    BOOST_CHECK_CLOSE_FRACTION(p3[0], 3, tol);
+    BOOST_CHECK_SMALL(p3[1], tol);
+    BOOST_CHECK_SMALL(p3[2], tol);
+
+    Real s = cr.parameter_at_point(0);
+    BOOST_CHECK_SMALL(s, tol);
+
+    s = cr.parameter_at_point(1);
+    BOOST_CHECK_CLOSE_FRACTION(s, 1, tol);
+
+    s = cr.parameter_at_point(2);
+    BOOST_CHECK_CLOSE_FRACTION(s, 2, tol);
+
+    s = cr.parameter_at_point(3);
+    BOOST_CHECK_CLOSE_FRACTION(s, 3, tol);
+
+    // Test that the function is linear on the interval [1,2]:
+    for (double s = 1; s < 2; s += 0.01)
+    {
+        auto p = cr(s);
+        BOOST_CHECK_CLOSE_FRACTION(p[0], s, tol);
+        BOOST_CHECK_SMALL(p[1], tol);
+        BOOST_CHECK_SMALL(p[2], tol);
+
+        auto tangent = cr.prime(s);
+        BOOST_CHECK_CLOSE_FRACTION(tangent[0], 1, tol);
+        BOOST_CHECK_SMALL(tangent[1], tol);
+        BOOST_CHECK_SMALL(tangent[2], tol);
+    }
+
+}
+
+template<class Real>
+void test_circle()
+{
+    using boost::math::constants::pi;
+    using std::cos;
+    using std::sin;
+
+    std::cout << "Testing that the Catmull-Rom spline interpolates circles correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, 2>> v(20*sizeof(Real));
+    std::vector<std::array<Real, 2>> u(20*sizeof(Real));
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real theta = ((Real) i/ (Real) v.size())*2*pi<Real>();
+        v[i] = {cos(theta), sin(theta)};
+        u[i] = v[i];
+    }
+    catmull_rom<std::array<Real, 2>> circle(std::move(v), true);
+
+    // Interpolation condition:
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real s = circle.parameter_at_point(i);
+        auto p = circle(s);
+        Real x = p[0];
+        Real y = p[1];
+        if (abs(x) < std::numeric_limits<Real>::epsilon())
+        {
+            BOOST_CHECK_SMALL(u[i][0], tol);
+        }
+        if (abs(y) < std::numeric_limits<Real>::epsilon())
+        {
+            BOOST_CHECK_SMALL(u[i][1], tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, u[i][0], tol);
+            BOOST_CHECK_CLOSE_FRACTION(y, u[i][1], tol);
+        }
+    }
+
+    Real max_s = circle.max_parameter();
+    for(Real s = 0; s < max_s; s += 0.01)
+    {
+        auto p = circle(s);
+        Real x = p[0];
+        Real y = p[1];
+        BOOST_CHECK_CLOSE_FRACTION(x*x+y*y, 1, 0.001);
+    }
+}
+
+
+template<class Real, size_t dimension>
+void test_affine_invariance()
+{
+    std::cout << "Testing that the Catmull-Rom spline is affine invariant in dimension "
+              << dimension << " on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 1000*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, dimension>> v(100);
+    std::vector<std::array<Real, dimension>> u(100);
+    std::mt19937_64 gen(438232);
+    Real inv_denom = (Real) 100/( (Real) (gen.max)() + (Real) 2);
+    for(size_t j = 0; j < dimension; ++j)
+    {
+        v[0][j] = gen()*inv_denom;
+        u[0][j] = v[0][j];
+    }
+
+    for (size_t i = 1; i < v.size(); ++i)
+    {
+        for(size_t j = 0; j < dimension; ++j)
+        {
+            v[i][j] = v[i-1][j] + gen()*inv_denom;
+            u[i][j] = v[i][j];
+        }
+    }
+    std::array<Real, dimension> affine_shift;
+    for (size_t j = 0; j < dimension; ++j)
+    {
+        affine_shift[j] = gen()*inv_denom;
+    }
+
+    catmull_rom<std::array<Real, dimension>> cr1(std::move(v));
+
+    for(size_t i = 0; i< u.size(); ++i)
+    {
+        for(size_t j = 0; j < dimension; ++j)
+        {
+            u[i][j] += affine_shift[j];
+        }
+    }
+
+    catmull_rom<std::array<Real, dimension>> cr2(std::move(u));
+
+    BOOST_CHECK_CLOSE_FRACTION(cr1.max_parameter(), cr2.max_parameter(), tol);
+
+    Real ds = cr1.max_parameter()/1024;
+    for (Real s = 0; s < cr1.max_parameter(); s += ds)
+    {
+        auto p0 = cr1(s);
+        auto p1 = cr2(s);
+        auto tangent0 = cr1.prime(s);
+        auto tangent1 = cr2.prime(s);
+        for (size_t j = 0; j < dimension; ++j)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(p0[j] + affine_shift[j], p1[j], tol);
+            if (abs(tangent0[j]) > 5000*tol)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(tangent0[j], tangent1[j], 5000*tol);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_helix()
+{
+    using boost::math::constants::pi;
+    std::cout << "Testing that the Catmull-Rom spline interpolates helices correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 0.001;
+    std::vector<std::array<Real, 3>> v(400*sizeof(Real));
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real theta = ((Real) i/ (Real) v.size())*2*pi<Real>();
+        v[i] = {cos(theta), sin(theta), theta};
+    }
+    catmull_rom<std::array<Real, 3>> helix(std::move(v));
+
+    // Interpolation condition:
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real s = helix.parameter_at_point(i);
+        auto p = helix(s);
+        Real t = p[2];
+
+        Real x = p[0];
+        Real y = p[1];
+        if (abs(x) < tol)
+        {
+            BOOST_CHECK_SMALL(cos(t), tol);
+        }
+        if (abs(y) < tol)
+        {
+            BOOST_CHECK_SMALL(sin(t), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, cos(t), tol);
+            BOOST_CHECK_CLOSE_FRACTION(y, sin(t), tol);
+        }
+    }
+
+    Real max_s = helix.max_parameter();
+    for(Real s = helix.parameter_at_point(1); s < max_s; s += 0.01)
+    {
+        auto p = helix(s);
+        Real x = p[0];
+        Real y = p[1];
+        Real t = p[2];
+        BOOST_CHECK_CLOSE_FRACTION(x*x+y*y, (Real) 1, (Real) 0.01);
+        if (abs(x) < 0.01)
+        {
+            BOOST_CHECK_SMALL(cos(t),  (Real) 0.05);
+        }
+        if (abs(y) < 0.01)
+        {
+            BOOST_CHECK_SMALL(sin(t), (Real) 0.05);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, cos(t), (Real) 0.05);
+            BOOST_CHECK_CLOSE_FRACTION(y, sin(t), (Real) 0.05);
+        }
+    }
+}
+
+
+template<class Real>
+class mypoint3d
+{
+public:
+    // Must define a value_type:
+    typedef Real value_type;
+
+    // Regular constructor:
+    mypoint3d(Real x, Real y, Real z)
+    {
+        m_vec[0] = x;
+        m_vec[1] = y;
+        m_vec[2] = z;
+    }
+
+    // Must define a default constructor:
+    mypoint3d() {}
+
+    // Must define array access:
+    Real operator[](size_t i) const
+    {
+        return m_vec[i];
+    }
+
+    // Array element assignment:
+    Real& operator[](size_t i)
+    {
+        return m_vec[i];
+    }
+
+
+private:
+    std::array<Real, 3>  m_vec;
+};
+
+
+// Must define the free function "size()":
+template<class Real>
+BOOST_CONSTEXPR std::size_t size(const mypoint3d<Real>& c)
+{
+    return 3;
+}
+
+template<class Real>
+void test_data_representations()
+{
+    std::cout << "Testing that the Catmull-Rom spline works with multiple data representations.\n";
+    mypoint3d<Real> p0(0.1, 0.2, 0.3);
+    mypoint3d<Real> p1(0.2, 0.3, 0.4);
+    mypoint3d<Real> p2(0.3, 0.4, 0.5);
+    mypoint3d<Real> p3(0.4, 0.5, 0.6);
+    mypoint3d<Real> p4(0.5, 0.6, 0.7);
+    mypoint3d<Real> p5(0.6, 0.7, 0.8);
+
+
+    // Tests initializer_list:
+    catmull_rom<mypoint3d<Real>> cat({p0, p1, p2, p3, p4, p5});
+
+    Real tol = 0.001;
+    auto p = cat(cat.parameter_at_point(0));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p0[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p0[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p0[2], tol);
+    p = cat(cat.parameter_at_point(1));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p1[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p1[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p1[2], tol);
+}
+
+template<class Real>
+void test_random_access_container()
+{
+    std::cout << "Testing that the Catmull-Rom spline works with multiple data representations.\n";
+    mypoint3d<Real> p0(0.1, 0.2, 0.3);
+    mypoint3d<Real> p1(0.2, 0.3, 0.4);
+    mypoint3d<Real> p2(0.3, 0.4, 0.5);
+    mypoint3d<Real> p3(0.4, 0.5, 0.6);
+    mypoint3d<Real> p4(0.5, 0.6, 0.7);
+    mypoint3d<Real> p5(0.6, 0.7, 0.8);
+
+    boost::numeric::ublas::vector<mypoint3d<Real>> u(6);
+    u[0] = p0;
+    u[1] = p1;
+    u[2] = p2;
+    u[3] = p3;
+    u[4] = p4;
+    u[5] = p5;
+
+    // Tests initializer_list:
+    catmull_rom<mypoint3d<Real>, decltype(u)> cat(std::move(u));
+
+    Real tol = 0.001;
+    auto p = cat(cat.parameter_at_point(0));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p0[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p0[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p0[2], tol);
+    p = cat(cat.parameter_at_point(1));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p1[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p1[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p1[2], tol);
+}
+
+BOOST_AUTO_TEST_CASE(catmull_rom_test)
+{
+#if !defined(TEST) || (TEST == 1)
+    test_data_representations<float>();
+    test_alpha_distance<double>();
+
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_circle<float>();
+    test_circle<double>();
+#endif
+#if !defined(TEST) || (TEST == 2)
+    test_helix<double>();
+
+    test_affine_invariance<double, 1>();
+    test_affine_invariance<double, 2>();
+    test_affine_invariance<double, 3>();
+    test_affine_invariance<double, 4>();
+
+    test_random_access_container<double>();
+#endif
+#if !defined(TEST) || (TEST == 3)
+    test_affine_invariance<cpp_bin_float_50, 4>();
+#endif
+}
diff --git a/src/boost/libs/math/test/cbrt_data.ipp b/src/boost/libs/math/test/cbrt_data.ipp
new file mode 100644
index 00000000..4a67c9c2
--- /dev/null
+++ b/src/boost/libs/math/test/cbrt_data.ipp
@@ -0,0 +1,93 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 85> cbrt_data = { {
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1888421455001568264216782004847867296461e-37) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.2075183790343685754527643464587844863336e-36) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(0.3735707037930203997047439019589434984292e-35) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(0.3494118359373226772153200620663814420149e-34) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.5289425440452335470097113858122815653748e-34) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.8789881934013975442181045034737061376284e-33) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.6415854952683870221087767100660047169015e-32) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.1618327663648593897188312867673509349544e-30) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.2258130336429980668979991908229127823735e-30) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.2393975994093713145816368117219309682822e-29) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1666850852333084475602734478539689292864e-28) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.8006277238962806516943344887937136945761e-27) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.4897647988639492837638733591590200680017e-26) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(0.3908105631910126517922937762400154556398e-25) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.2516852352568191806987306088580024017075e-24) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.5891685351226332190380177353564166513441e-24) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.7559899905537899689665020666334853594435e-23) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(0.1452317136611010055610488165775172825142e-21) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(0.1570697224733838212725464129330562874032e-20) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.5610532144067232522265416539512374653302e-20) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1500181866107243920079950771800422025379e-19) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(0.4991847137949555007936240315051986249607e-18) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(0.2583158853420963423689975850731860849521e-17) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(0.9903435487644105337695875806797860570175e-17) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(0.1463821071995824977534730930446568768253e-15) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(0.7871391209588633308733754268944773271037e-15) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(0.1955130454371024476239796923077328444099e-13) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(0.3301616917426164412576388360054394990469e-13) }}, 
+      {{ SC_(0.10957030463032424449920654296875e-3), SC_(0.1315462909319166691700161404508507291713e-11) }}, 
+      {{ SC_(0.126518702018074691295623779296875e-3), SC_(0.2025182580848748191763613884783980516393e-11) }}, 
+      {{ SC_(0.28976381872780621051788330078125e-3), SC_(0.2432945998183714075166971697772880334043e-10) }}, 
+      {{ SC_(0.687857042066752910614013671875e-3), SC_(0.325457709339121122043443511174534212782e-9) }}, 
+      {{ SC_(0.145484809763729572296142578125e-2), SC_(0.3079306732417723714591019095094197606751e-8) }}, 
+      {{ SC_(0.2847635187208652496337890625e-2), SC_(0.2309154822558505456380682823926992940837e-7) }}, 
+      {{ SC_(0.56468211114406585693359375e-2), SC_(0.1800578620431549562186637161391699604382e-6) }}, 
+      {{ SC_(0.11621631681919097900390625e-1), SC_(0.1569644571431467249504618249826407884451e-5) }}, 
+      {{ SC_(0.257236398756504058837890625e-1), SC_(0.1702147780446687692243218673184664750751e-4) }}, 
+      {{ SC_(0.560617186129093170166015625e-1), SC_(0.1761972888887947511388016005088640519383e-3) }}, 
+      {{ SC_(0.106835305690765380859375e0), SC_(0.1219394946966688262159601656951790626948e-2) }}, 
+      {{ SC_(0.2401093542575836181640625e0), SC_(0.1384290502703277530255383713042680732253e-1) }}, 
+      {{ SC_(0.438671648502349853515625e0), SC_(0.8441482026963079214835649797480515710291e-1) }}, 
+      {{ SC_(0.903765499591827392578125e0), SC_(0.7381885006644863290177619358266650206879e0) }}, 
+      {{ SC_(0.12760250568389892578125e1), SC_(0.2077674969235041602851348126190789145085e1) }}, 
+      {{ SC_(0.3411548614501953125e1), SC_(0.3970586787024071934171232101107307244092e2) }}, 
+      {{ SC_(0.671881103515625e1), SC_(0.3033034012472492122469702735543251037598e3) }}, 
+      {{ SC_(0.802254772186279296875e1), SC_(0.5163413756551815056187668129261680860509e3) }}, 
+      {{ SC_(0.264815673828125e2), SC_(0.1857081908850696527224499732255935668945e5) }}, 
+      {{ SC_(0.54742523193359375e2), SC_(0.1640493194709731775162708800053223967552e6) }}, 
+      {{ SC_(0.744071502685546875e2), SC_(0.4119495333434053702710286870569689199328e6) }}, 
+      {{ SC_(0.210427001953125e3), SC_(0.9317607304574811554630286991596221923828e7) }}, 
+      {{ SC_(0.286463409423828125e3), SC_(0.2350755546524705072036454112094361335039e8) }}, 
+      {{ SC_(0.74548876953125e3), SC_(0.4143079969757992170052602887153625488281e9) }}, 
+      {{ SC_(0.15343248291015625e4), SC_(0.361203491025739912996687053237110376358e10) }}, 
+      {{ SC_(0.3632982421875e4), SC_(0.47950141115752447418868541717529296875e11) }}, 
+      {{ SC_(0.8027111328125e4), SC_(0.517223035506184733219444751739501953125e12) }}, 
+      {{ SC_(0.128921982421875e5), SC_(0.2142796483541738858568482100963592529297e13) }}, 
+      {{ SC_(0.2196087890625e5), SC_(0.10591297122360160745680332183837890625e14) }}, 
+      {{ SC_(0.614975859375e5), SC_(0.232580984311524292169094085693359375e15) }}, 
+      {{ SC_(0.103892109375e6), SC_(0.1121366795544843797206878662109375e16) }}, 
+      {{ SC_(0.2370011875e6), SC_(0.13312253103065122768310546875e17) }}, 
+      {{ SC_(0.32081496875e6), SC_(0.33018996548382043793914794921875e17) }}, 
+      {{ SC_(0.533606625e6), SC_(0.151937032114340403275390625e18) }}, 
+      {{ SC_(0.1836336625e7), SC_(0.6192369863782824692494140625e19) }}, 
+      {{ SC_(0.38194295e7), SC_(0.55717996837103384222375e20) }}, 
+      {{ SC_(0.52642505e7), SC_(0.145884664571511666937625e21) }}, 
+      {{ SC_(0.1527432e8), SC_(0.3563572958789165568e22) }}, 
+      {{ SC_(0.25265768e8), SC_(0.16128631219129563064832e23) }}, 
+      {{ SC_(0.6509808e8), SC_(0.275870040782346842112e24) }}, 
+      {{ SC_(0.114023104e9), SC_(0.1482444961322159867428864e25) }}, 
+      {{ SC_(0.189604896e9), SC_(0.6816299156208797501915136e25) }}, 
+      {{ SC_(0.507585472e9), SC_(0.130775849541591501155074048e27) }}, 
+      {{ SC_(0.764055936e9), SC_(0.446041700029835346607865856e27) }}, 
+      {{ SC_(0.2103773184e10), SC_(0.9311008970618745805030293504e28) }}, 
+      {{ SC_(0.3395078656e10), SC_(0.39133574711079901758452924416e29) }}, 
+      {{ SC_(0.6645239808e10), SC_(0.293448554175562916132775002112e30) }}, 
+      {{ SC_(0.9947638784e10), SC_(0.984373742549644225510117474304e30) }}, 
+      {{ SC_(0.19561418752e11), SC_(0.7485159350422880041966143275008e31) }}, 
+      {{ SC_(0.60532621312e11), SC_(0.221803524649682352197867382243328e33) }}, 
+      {{ SC_(0.78978883584e11), SC_(0.492643743012832976593364088520704e33) }}, 
+      {{ SC_(0.169071362048e12), SC_(0.4832926096640938859567595590254592e34) }}, 
+      {{ SC_(0.345661243392e12), SC_(0.41300191319644612608733712417292288e35) }}, 
+      {{ SC_(0.994912108544e12), SC_(0.984813853841992339417900620588253184e36) }}, 
+      {{ SC_(0.2023890092032e13), SC_(0.8290119158315231036253469850906656768e37) }}, 
+      {{ SC_(0.4372805189632e13), SC_(0.83614267463479414022236113855701843968e38) }}, 
+      {{ SC_(0.5516391612416e13), SC_(0.167866976532732026957407327191402807296e39) }}
+   } };
+
diff --git a/src/boost/libs/math/test/chebyshev_test.cpp b/src/boost/libs/math/test/chebyshev_test.cpp
new file mode 100644
index 00000000..b5dca51b
--- /dev/null
+++ b/src/boost/libs/math/test/chebyshev_test.cpp
@@ -0,0 +1,147 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#define BOOST_TEST_MODULE chebyshev_test
+
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/chebyshev.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/array.hpp>
+
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::chebyshev_t;
+using boost::math::chebyshev_t_prime;
+using boost::math::chebyshev_u;
+
+template<class Real>
+void test_polynomials()
+{
+    std::cout << "Testing explicit polynomial representations of the Chebyshev polynomials on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    Real x = -2;
+    Real tol = 400*std::numeric_limits<Real>::epsilon();
+    if (tol > std::numeric_limits<float>::epsilon())
+       tol *= 10;   // float results have much larger error rates.
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(0, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(1, x), x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(2, x), 2*x*x - 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(3, x), x*(4*x*x-3), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(4, x), 8*x*x*(x*x - 1) + 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(5, x), x*(16*x*x*x*x - 20*x*x + 5), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+
+    x = -2;
+    tol = 10*tol;
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(0, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(1, x), 2*x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(2, x), 4*x*x - 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(3, x), 4*x*(2*x*x - 1), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+}
+
+
+template<class Real>
+void test_derivatives()
+{
+    std::cout << "Testing explicit polynomial representations of the Chebyshev polynomial derivatives on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    Real x = -2;
+    Real tol = 1000*std::numeric_limits<Real>::epsilon();
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(0, x), Real(0), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(1, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(2, x), 4*x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(3, x), 3*(4*x*x - 1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(4, x), 16*x*(2*x*x - 1), tol);
+        // This one makes the tolerance have to grow too large; the Chebyshev recurrence is more stable than naive polynomial evaluation anyway.
+        //BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(5, x), 5*(4*x*x*(4*x*x - 3) + 1), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+}
+
+template<class Real>
+void test_clenshaw_recurrence()
+{
+    using boost::math::chebyshev_clenshaw_recurrence;
+    boost::array<Real, 5> c0 = { {2, 0, 0, 0, 0} };
+    // Check the size = 1 case:
+    boost::array<Real, 1> c01 = { {2} };
+    // Check the size = 2 case:
+    boost::array<Real, 2> c02 = { {2, 0} };
+    boost::array<Real, 4> c1 = { {0, 1, 0, 0} };
+    boost::array<Real, 4> c2 = { {0, 0, 1, 0} };
+    boost::array<Real, 5> c3 = { {0, 0, 0, 1, 0} };
+    boost::array<Real, 5> c4 = { {0, 0, 0, 0, 1} };
+    boost::array<Real, 6> c5 = { {0, 0, 0, 0, 0, 1} };
+    boost::array<Real, 7> c6 = { {0, 0, 0, 0, 0, 0, 1} };
+
+    Real x = -1;
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    if (tol > std::numeric_limits<float>::epsilon())
+       tol *= 100;   // float results have much larger error rates.
+    while (x <= 1)
+    {
+        Real y = chebyshev_clenshaw_recurrence(c0.data(), c0.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c01.data(), c01.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c02.data(), c02.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c1.data(), c1.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(1, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c2.data(), c2.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(2, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c3.data(), c3.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(3, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c4.data(), c4.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(4, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c5.data(), c5.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(5, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c6.data(), c6.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(6, x), tol);
+
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+BOOST_AUTO_TEST_CASE(chebyshev_test)
+{
+    test_clenshaw_recurrence<float>();
+    test_clenshaw_recurrence<double>();
+    test_clenshaw_recurrence<long double>();
+
+    test_polynomials<float>();
+    test_polynomials<double>();
+    test_polynomials<long double>();
+    test_polynomials<cpp_bin_float_quad>();
+
+    test_derivatives<float>();
+    test_derivatives<double>();
+    test_derivatives<long double>();
+    test_derivatives<cpp_bin_float_quad>();
+}
diff --git a/src/boost/libs/math/test/chebyshev_transform_test.cpp b/src/boost/libs/math/test/chebyshev_transform_test.cpp
new file mode 100644
index 00000000..fa6171be
--- /dev/null
+++ b/src/boost/libs/math/test/chebyshev_transform_test.cpp
@@ -0,0 +1,263 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE chebyshev_transform_test
+
+#include <boost/cstdfloat.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/chebyshev.hpp>
+#include <boost/math/special_functions/chebyshev_transform.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#endif
+
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::chebyshev_t;
+using boost::math::chebyshev_t_prime;
+using boost::math::chebyshev_u;
+using boost::math::chebyshev_transform;
+
+
+template<class Real>
+void test_sin_chebyshev_transform()
+{
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+    using std::sin;
+    using std::cos;
+    using std::abs;
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    auto f = [](Real x) { return sin(x); };
+    Real a = 0;
+    Real b = 1;
+    chebyshev_transform<Real> cheb(f, a, b, tol);
+
+    Real x = a;
+    while (x < b)
+    {
+        Real s = sin(x);
+        Real c = cos(x);
+        if (abs(s) < tol)
+        {
+            BOOST_CHECK_SMALL(cheb(x), 100*tol);
+            BOOST_CHECK_CLOSE_FRACTION(c, cheb.prime(x), 100*tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(s, cheb(x), 100*tol);
+            if (abs(c) < tol)
+            {
+                BOOST_CHECK_SMALL(cheb.prime(x), 100*tol);
+            }
+            else
+            {
+                BOOST_CHECK_CLOSE_FRACTION(c, cheb.prime(x), 100*tol);
+            }
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    Real Q = cheb.integrate();
+
+    BOOST_CHECK_CLOSE_FRACTION(1 - cos(static_cast<Real>(1)), Q, 100*tol);
+}
+
+
+template<class Real>
+void test_sinc_chebyshev_transform()
+{
+    using std::cos;
+    using std::sin;
+    using std::abs;
+    using boost::math::sinc_pi;
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+
+    Real tol = 500*std::numeric_limits<Real>::epsilon();
+    auto f = [](Real x) { return boost::math::sinc_pi(x); };
+    Real a = 0;
+    Real b = 1;
+    chebyshev_transform<Real> cheb(f, a, b, tol/50);
+
+    Real x = a;
+    while (x < b)
+    {
+        Real s = sinc_pi(x);
+        Real ds = (cos(x)-sinc_pi(x))/x;
+        if (x == 0) { ds = 0; }
+        if (s < tol)
+        {
+            BOOST_CHECK_SMALL(cheb(x), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(s, cheb(x), tol);
+        }
+
+        if (abs(ds) < tol)
+        {
+            BOOST_CHECK_SMALL(cheb.prime(x), 5 * tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(ds, cheb.prime(x), 300*tol);
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    Real Q = cheb.integrate();
+    //NIntegrate[Sinc[x], {x, 0, 1}, WorkingPrecision -> 200, AccuracyGoal -> 150, PrecisionGoal -> 150, MaxRecursion -> 150]
+    Real Q_exp = boost::lexical_cast<Real>("0.94608307036718301494135331382317965781233795473811179047145477356668");
+    BOOST_CHECK_CLOSE_FRACTION(Q_exp, Q, tol);
+}
+
+
+
+//Examples taken from "Approximation Theory and Approximation Practice", by Trefethen
+template<class Real>
+void test_atap_examples()
+{
+    using std::sin;
+    using boost::math::constants::half;
+    using boost::math::sinc_pi;
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    auto f1 = [](Real x) { return ((0 < x) - (x < 0)) - x/2; };
+    auto f2 = [](Real x) { Real t = sin(6*x); Real s = sin(x + exp(2*x));
+                           Real u = (0 < s) - (s < 0);
+                           return t + u; };
+
+    auto f3 = [](Real x) { return sin(6*x) + sin(60*exp(x)); };
+
+    auto f4 = [](Real x) { return 1/(1+1000*(x+half<Real>())*(x+half<Real>())) + 1/sqrt(1+1000*(x-.5)*(x-0.5));};
+    Real a = -1;
+    Real b = 1;
+    chebyshev_transform<Real> cheb1(f1, a, b);
+    chebyshev_transform<Real> cheb2(f2, a, b, tol);
+    //chebyshev_transform<Real> cheb3(f3, a, b, tol);
+
+    Real x = a;
+    while (x < b)
+    {
+        //Real s = f1(x);
+        if (sizeof(Real) == sizeof(float))
+        {
+           BOOST_CHECK_CLOSE_FRACTION(f1(x), cheb1(x), 4e-3);
+        }
+        else
+        {
+           BOOST_CHECK_CLOSE_FRACTION(f1(x), cheb1(x), 1.3e-5);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(f2(x), cheb2(x), 6e-3);
+        //BOOST_CHECK_CLOSE_FRACTION(f3(x), cheb3(x), 100*tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+//Validate that the Chebyshev polynomials are well approximated by the Chebyshev transform.
+template<class Real>
+void test_chebyshev_chebyshev_transform()
+{
+    Real tol = 500*std::numeric_limits<Real>::epsilon();
+    // T_0 = 1:
+    auto t0 = [](Real) { return 1; };
+    chebyshev_transform<Real> cheb0(t0, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb0.coefficients()[0], 2, tol);
+
+    Real x = -1;
+    while (x < 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(cheb0(x), 1, tol);
+        BOOST_CHECK_SMALL(cheb0.prime(x), tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    // T_1 = x:
+    auto t1 = [](Real x) { return x; };
+    chebyshev_transform<Real> cheb1(t1, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb1.coefficients()[1], 1, tol);
+
+    x = -1;
+    while (x < 1)
+    {
+        if (x == 0)
+        {
+            BOOST_CHECK_SMALL(cheb1(x), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(cheb1(x), x, tol);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(cheb1.prime(x), 1, tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+
+    auto t2 = [](Real x) { return 2*x*x-1; };
+    chebyshev_transform<Real> cheb2(t2, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb2.coefficients()[2], 1, tol);
+
+    x = -1;
+    while (x < 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(cheb2(x), t2(x), tol);
+        if (x != 0)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(cheb2.prime(x), 4*x, tol);
+        }
+        else
+        {
+            BOOST_CHECK_SMALL(cheb2.prime(x), tol);
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+BOOST_AUTO_TEST_CASE(chebyshev_transform_test)
+{
+#ifdef TEST1
+    test_chebyshev_chebyshev_transform<float>();
+    test_sin_chebyshev_transform<float>();
+    test_atap_examples<float>();
+    test_sinc_chebyshev_transform<float>();
+#endif
+#ifdef TEST2
+    test_chebyshev_chebyshev_transform<double>();
+    test_sin_chebyshev_transform<double>();
+    test_atap_examples<double>();
+    test_sinc_chebyshev_transform<double>();
+#endif
+#ifdef TEST3
+    test_chebyshev_chebyshev_transform<long double>();
+    test_sin_chebyshev_transform<long double>();
+    test_atap_examples<long double>();
+    test_sinc_chebyshev_transform<long double>();
+#endif
+#ifdef TEST4
+#ifdef BOOST_HAS_FLOAT128
+    test_chebyshev_chebyshev_transform<__float128>();
+    test_sin_chebyshev_transform<__float128>();
+    test_atap_examples<__float128>();
+    test_sinc_chebyshev_transform<__float128>();
+#endif
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp b/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp
new file mode 100644
index 00000000..2fae9046
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept x[] = { 1, 2, 3 };
+   boost::math::concepts::std_real_concept y[] = { 13, 15, 17 };
+   boost::math::barycentric_rational<boost::math::concepts::std_real_concept> s(x, y, 3, 3);
+   s(1.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp b/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp
new file mode 100644
index 00000000..fc1e71d7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp
@@ -0,0 +1,27 @@
+//  Copyright John Maddock 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+
+#ifdef _MSC_VER
+#pragma warning(disable:4459)
+#endif
+
+#include <boost/math/interpolators/barycentric_rational.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   double data[] = { 1, 2, 3 };
+   double y[] = { 34, 56, 67 };
+   boost::math::barycentric_rational<double> s(data, y, 3, 2);
+   check_result<double>(s(1.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp b/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp
new file mode 100644
index 00000000..9f7b2b49
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/catmull_rom.hpp>
+
+void compile_and_link_test()
+{
+    std::vector<boost::math::concepts::std_real_concept> p0{0.1, 0.2, 0.3};
+    std::vector<boost::math::concepts::std_real_concept> p1{0.2, 0.3, 0.4};
+    std::vector<boost::math::concepts::std_real_concept> p2{0.3, 0.4, 0.5};
+    std::vector<boost::math::concepts::std_real_concept> p3{0.4, 0.5, 0.6};
+    std::vector<boost::math::concepts::std_real_concept> p4{0.5, 0.6, 0.7};
+    std::vector<boost::math::concepts::std_real_concept> p5{0.6, 0.7, 0.8};
+    std::vector<std::vector<boost::math::concepts::std_real_concept>> v{p0, p1, p2, p3, p4, p5};
+    boost::math::catmull_rom<std::vector<boost::math::concepts::std_real_concept>> cat(std::move(v));
+    cat(0.0);
+    cat.prime(0.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp b/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp
new file mode 100644
index 00000000..9cdaa09a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright Nick Thompson 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/interpolators/catmull_rom.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/interpolators/catmull_rom.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    std::vector<double> p0{0.1, 0.2, 0.3};
+    std::vector<double> p1{0.2, 0.3, 0.4};
+    std::vector<double> p2{0.3, 0.4, 0.5};
+    std::vector<double> p3{0.4, 0.5, 0.6};
+    std::vector<double> p4{0.5, 0.6, 0.7};
+    std::vector<double> p5{0.6, 0.7, 0.8};
+    std::vector<std::vector<double>> v{p0, p1, p2, p3, p4, p5};
+    boost::math::catmull_rom<std::vector<double>> cat(std::move(v));
+    check_result<std::vector<double>>(cat(0.0));
+    check_result<std::vector<double>>(cat.prime(0.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp
new file mode 100644
index 00000000..a7a12db6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/fabs.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/fabs.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<float >(boost::math::fabs(std::complex<float>()));
+   check_result<double >(boost::math::fabs(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::fabs(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp
new file mode 100644
index 00000000..428ea19d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/acos.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/acos.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::acos(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::acos(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::acos(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp
new file mode 100644
index 00000000..4b5ce873
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/acosh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/acosh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::acosh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::acosh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::acosh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp
new file mode 100644
index 00000000..d6c60209
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/asin.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/asin.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::asin(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::asin(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::asin(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp
new file mode 100644
index 00000000..e4f8e74e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/asinh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/asinh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::asinh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::asinh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::asinh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp
new file mode 100644
index 00000000..83877a68
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/atan.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/atan.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::atan(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::atan(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::atan(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp
new file mode 100644
index 00000000..bface310
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/atanh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/atanh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::atanh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::atanh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::atanh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/constants_incl_test.cpp b/src/boost/libs/math/test/compile_test/constants_incl_test.cpp
new file mode 100644
index 00000000..039596c7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/constants_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/constants/constants.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::constants::pi<float>());
+   check_result<double>(boost::math::constants::pi<double>());
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::constants::pi<long double>());
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp
new file mode 100644
index 00000000..e2b79352
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+int main(int
+#ifdef BOOST_FLOAT128_C
+   argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT128_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT128_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp
new file mode 100644
index 00000000..a5cca7e1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int 
+#ifdef BOOST_FLOAT80_C
+      argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT80_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT80_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp
new file mode 100644
index 00000000..6d2781b6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int
+#ifdef BOOST_FLOAT64_C
+   argc
+#endif
+  , char*[])
+{
+#ifdef BOOST_FLOAT64_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT64_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp
new file mode 100644
index 00000000..18449889
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int 
+#ifdef BOOST_FLOAT32_C
+   argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT32_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT32_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp b/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp
new file mode 100644
index 00000000..d004c651
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept data[] = { 1, 2, 3 };
+   boost::math::interpolators::cardinal_cubic_b_spline<boost::math::concepts::std_real_concept> s(data, 3, 2, 1), s2;
+   s(1.0);
+   s.prime(1.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp b/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp
new file mode 100644
index 00000000..ec08f139
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// A sanity check that this file
+// #includes all the files that it needs to.
+//
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   double data[] = { 1, 2, 3 };
+   boost::math::interpolators::cardinal_cubic_b_spline<double> s(data, 3, 2, 1), s2;
+   check_result<double>(s(1.0));
+   check_result<double>(s.prime(1.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp
new file mode 100644
index 00000000..91397fc3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/bernoulli.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/bernoulli.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(bernoulli)
+}
+
+template class boost::math::bernoulli_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::bernoulli_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::bernoulli_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp
new file mode 100644
index 00000000..34f8bc21
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/beta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(beta)
+}
+
+template class boost::math::beta_distribution<double, boost::math::policies::policy<> >;
+template class boost::math::beta_distribution<float, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::beta_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp
new file mode 100644
index 00000000..40246ad5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(binomial)
+}
+
+template class boost::math::binomial_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::binomial_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::binomial_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp
new file mode 100644
index 00000000..d07071b2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/cauchy.hpp>
+// #includes all the files that it needs to.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#include <boost/math/distributions/cauchy.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(cauchy)
+}
+
+template class boost::math::cauchy_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::cauchy_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::cauchy_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp
new file mode 100644
index 00000000..b0b198fc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/chi_squared.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(chi_squared)
+}
+
+template class boost::math::chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp
new file mode 100644
index 00000000..89277614
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/complement.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/complement.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   boost::math::complement(f, f);
+   boost::math::complement(f, f, d);
+   boost::math::complement(f, f, d, l);
+   boost::math::complement(f, f, d, l, i);
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp
new file mode 100644
index 00000000..3cbbc07a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/exponential.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/exponential.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(exponential)
+}
+
+template class boost::math::exponential_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::exponential_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::exponential_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp
new file mode 100644
index 00000000..92f4a50e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/extreme_value.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/extreme_value.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(extreme_value)
+}
+
+template class boost::math::extreme_value_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::extreme_value_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::extreme_value_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp
new file mode 100644
index 00000000..5edc5569
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp
@@ -0,0 +1,61 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/find_location.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/find_location.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+template <class T, class Policy = boost::math::policies::policy<> >
+class test_distribution
+{
+public:
+   typedef T value_type;
+   typedef Policy policy_type;
+   test_distribution(){}
+};
+
+template <class T, class Policy>
+T quantile(const test_distribution<T, Policy>&, T)
+{
+   return 0;
+}
+
+template <class T, class Policy>
+T quantile(const boost::math::complemented2_type<test_distribution<T, Policy>, T>&)
+{
+   return 0;
+}
+
+namespace boost{ namespace math{ namespace tools{
+
+   template <class T, class Policy> struct is_distribution<test_distribution<T, Policy> > : public mpl::true_{};
+   template <class T, class Policy> struct is_scaled_distribution<test_distribution<T, Policy> > : public mpl::true_{};
+
+}}}
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::find_location<test_distribution<float> >(f, f, f, boost::math::policies::policy<>()));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(d, d, d, boost::math::policies::policy<>()));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(l, l, l, boost::math::policies::policy<>()));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(f, f, f));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(d, d, d));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(l, l, l));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(boost::math::complement(f, f, f, boost::math::policies::policy<>())));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(boost::math::complement(d, d, d, boost::math::policies::policy<>())));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(boost::math::complement(l, l, l, boost::math::policies::policy<>())));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(boost::math::complement(f, f, f)));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(boost::math::complement(d, d, d)));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(boost::math::complement(l, l, l)));
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp
new file mode 100644
index 00000000..4c19bd54
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp
@@ -0,0 +1,62 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/find_scale.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/find_scale.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+template <class T, class Policy = boost::math::policies::policy<> >
+class test_distribution
+{
+public:
+   typedef T value_type;
+   typedef Policy policy_type;
+   test_distribution(){}
+};
+
+template <class T, class Policy>
+T quantile(const test_distribution<T, Policy>&, T)
+{
+   return 0;
+}
+
+template <class T, class Policy>
+T quantile(const boost::math::complemented2_type<test_distribution<T, Policy>, T>&)
+{
+   return 0;
+}
+
+namespace boost{ namespace math{ namespace tools{
+
+   template <class T, class Policy> struct is_distribution<test_distribution<T, Policy> > : public mpl::true_{};
+   template <class T, class Policy> struct is_scaled_distribution<test_distribution<T, Policy> > : public mpl::true_{};
+
+}}}
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(f, f, f, boost::math::policies::policy<>()));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(d, d, d, boost::math::policies::policy<>()));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(l, l, l, boost::math::policies::policy<>()));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(f, f, f));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(d, d, d));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(l, l, l));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(boost::math::complement(f, f, f, boost::math::policies::policy<>())));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(boost::math::complement(d, d, d, boost::math::policies::policy<>())));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(boost::math::complement(l, l, l, boost::math::policies::policy<>())));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(boost::math::complement(f, f, f)));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(boost::math::complement(d, d, d)));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(boost::math::complement(l, l, l)));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp
new file mode 100644
index 00000000..f8c14b44
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/fisher_f.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/fisher_f.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(fisher_f)
+}
+
+template class boost::math::fisher_f_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::fisher_f_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::fisher_f_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp
new file mode 100644
index 00000000..e6c4ee68
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(gamma)
+}
+
+template class boost::math::gamma_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::gamma_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::gamma_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp
new file mode 100644
index 00000000..4de172d3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright 2014 Marco Guazzone (marco.guazzone@gmail.com)
+//
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/hyperexponential.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/hyperexponential.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(hyperexponential)
+}
+
+template class boost::math::hyperexponential_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::hyperexponential_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::hyperexponential_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp
new file mode 100644
index 00000000..32edb5f2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/hypergeometric.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/hypergeometric.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(hypergeometric)
+}
+
+template class boost::math::hypergeometric_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::hypergeometric_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::hypergeometric_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp
new file mode 100644
index 00000000..86313c33
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/inverse_chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(inverse_chi_squared)
+}
+
+template class boost::math::inverse_chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::inverse_chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::inverse_chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp
new file mode 100644
index 00000000..c86e5347
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/inverse_gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(inverse_gamma)
+}
+
+template class boost::math::inverse_gamma_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::inverse_gamma_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::inverse_gamma_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp
new file mode 100644
index 00000000..9a9dabf2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/laplace.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/laplace.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(laplace)
+}
+
+template class boost::math::laplace_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::laplace_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::laplace_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp
new file mode 100644
index 00000000..456291dd
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/logistic.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/logistic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(logistic)
+}
+
+template class boost::math::logistic_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::logistic_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::logistic_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp
new file mode 100644
index 00000000..11450460
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/lognormal.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/lognormal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(lognormal)
+}
+
+template class boost::math::lognormal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::lognormal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::lognormal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp
new file mode 100644
index 00000000..12d6ef15
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_beta.hpp>
+// #includes all the files that it needs to.
+//
+// This must appear *before* any #includes, and precludes pch usage:
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+//
+#include <boost/math/distributions/non_central_beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_beta)
+}
+
+template class boost::math::non_central_beta_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_beta_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_beta_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp
new file mode 100644
index 00000000..b953418d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_chi_squared.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_chi_squared)
+}
+
+template class boost::math::non_central_chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp
new file mode 100644
index 00000000..2c81b11e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_f.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_f.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_f)
+}
+
+template class boost::math::non_central_f_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_f_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_f_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp
new file mode 100644
index 00000000..8f1e429e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_t)
+}
+
+template class boost::math::non_central_t_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_t_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_t_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp
new file mode 100644
index 00000000..b0368d41
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/negative_binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/negative_binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(negative_binomial)
+}
+
+template class boost::math::negative_binomial_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::negative_binomial_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::negative_binomial_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp
new file mode 100644
index 00000000..c3ad2ab9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/normal.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/normal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(normal)
+}
+
+template class boost::math::normal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::normal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::normal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp
new file mode 100644
index 00000000..1d1e1ff2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/pareto.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/pareto.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(pareto)
+}
+
+template class boost::math::pareto_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::pareto_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::pareto_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp
new file mode 100644
index 00000000..ab69b99b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/poisson.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/poisson.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(poisson)
+}
+
+template class boost::math::poisson_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::poisson_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::poisson_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp
new file mode 100644
index 00000000..6f41d4b0
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/students_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/skew_normal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(skew_normal)
+}
+
+template class boost::math::skew_normal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::skew_normal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::skew_normal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp
new file mode 100644
index 00000000..6c09a440
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/students_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/students_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(students_t)
+}
+
+template class boost::math::students_t_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::students_t_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::students_t_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp
new file mode 100644
index 00000000..8eaebf5b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/triangular.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/triangular.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(triangular)
+}
+
+template class boost::math::triangular_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::triangular_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::triangular_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp
new file mode 100644
index 00000000..2b3e30ef
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/uniform.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/uniform.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(uniform)
+}
+
+template class boost::math::uniform_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::uniform_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::uniform_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp
new file mode 100644
index 00000000..d73bd58c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/weibull.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/weibull.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(weibull)
+}
+
+template class boost::math::weibull_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::weibull_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::weibull_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp b/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp
new file mode 100644
index 00000000..26b236a5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/distributions.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+
+template <class RealType>
+void instantiate(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+   using namespace boost::math::concepts;
+
+   typedef policies::policy<policies::digits2<std::numeric_limits<RealType>::digits - 2> > custom_policy;
+
+   function_requires<DistributionConcept<bernoulli_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType, custom_policy> > >();
+}
+
+
+int main()
+{
+   instantiate(float(0));
+   instantiate(double(0));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   instantiate((long double)(0));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp
new file mode 100644
index 00000000..6ee6c24e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp
@@ -0,0 +1,16 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::exp_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f, a);
+}
diff --git a/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp
new file mode 100644
index 00000000..62f68876
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/exp_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    boost::math::quadrature::exp_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f));
+}
diff --git a/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp b/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp
new file mode 100644
index 00000000..85ad3a67
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/gauss.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::gauss<boost::math::concepts::std_real_concept, 7> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp b/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp
new file mode 100644
index 00000000..6b101285
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::gauss_kronrod<boost::math::concepts::std_real_concept, 7> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/generate.sh b/src/boost/libs/math/test/compile_test/generate.sh
new file mode 100755
index 00000000..ac88405a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/generate.sh
@@ -0,0 +1,46 @@
+for file in ../../../../boost/math/tools/*.hpp; do 
+cat > tools_$(basename $file .hpp)_inc_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+for file in ../../../../boost/math/distributions/*.hpp; do 
+cat > dist_$(basename $file .hpp)_incl_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+for file in ../../../../boost/math/special_functions/*.hpp; do 
+cat > sf_$(basename $file .hpp)_incl_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+
diff --git a/src/boost/libs/math/test/compile_test/instantiate.hpp b/src/boost/libs/math/test/compile_test/instantiate.hpp
new file mode 100644
index 00000000..32e00018
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/instantiate.hpp
@@ -0,0 +1,1468 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007, 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
+#define BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
+
+#ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY
+#  define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#endif
+
+#include <boost/math/distributions.hpp>
+
+#include <boost/math/special_functions.hpp>
+#include <boost/math/concepts/distributions.hpp>
+#include <boost/concept_archetype.hpp>
+
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+
+typedef boost::math::policies::policy<boost::math::policies::promote_float<false>, boost::math::policies::promote_double<false> > test_policy;
+
+namespace test{
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(test_policy)
+
+}
+
+namespace dist_test{
+
+BOOST_MATH_DECLARE_DISTRIBUTIONS(double, test_policy)
+
+}
+#endif
+
+#if !defined(TEST_GROUP_1) && !defined(TEST_GROUP_2) && !defined(TEST_GROUP_3) \
+   && !defined(TEST_GROUP_4) && !defined(TEST_GROUP_5) && !defined(TEST_GROUP_6) \
+   && !defined(TEST_GROUP_7) && !defined(TEST_GROUP_8) && !defined(TEST_GROUP_9)
+#  define TEST_GROUP_1
+#  define TEST_GROUP_2
+#  define TEST_GROUP_3
+#  define TEST_GROUP_4
+#  define TEST_GROUP_5
+#  define TEST_GROUP_6
+#  define TEST_GROUP_7
+#  define TEST_GROUP_8
+#  define TEST_GROUP_9
+#endif
+
+template <class RealType>
+void instantiate(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+   using namespace boost::math::concepts;
+#ifdef TEST_GROUP_1
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
+   function_requires<DistributionConcept<bernoulli_distribution<RealType> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType> > >();
+   function_requires<DistributionConcept<hyperexponential_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType> > >();
+#endif
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+#ifdef TEST_GROUP_2
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
+   function_requires<DistributionConcept<bernoulli_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType, test_policy> > >();
+#endif
+#ifdef TEST_GROUP_3
+   function_requires<DistributionConcept<dist_test::arcsine > >();
+   function_requires<DistributionConcept<dist_test::bernoulli > >();
+   function_requires<DistributionConcept<dist_test::beta > >();
+   function_requires<DistributionConcept<dist_test::binomial > >();
+   function_requires<DistributionConcept<dist_test::cauchy > >();
+   function_requires<DistributionConcept<dist_test::chi_squared > >();
+   function_requires<DistributionConcept<dist_test::exponential > >();
+   function_requires<DistributionConcept<dist_test::extreme_value > >();
+   function_requires<DistributionConcept<dist_test::fisher_f > >();
+   function_requires<DistributionConcept<dist_test::gamma > >();
+   function_requires<DistributionConcept<dist_test::geometric > >();
+   function_requires<DistributionConcept<dist_test::hypergeometric > >();
+   function_requires<DistributionConcept<dist_test::inverse_chi_squared > >();
+   function_requires<DistributionConcept<dist_test::inverse_gamma > >();
+   function_requires<DistributionConcept<dist_test::inverse_gaussian > >();
+   function_requires<DistributionConcept<dist_test::laplace > >();
+   function_requires<DistributionConcept<dist_test::logistic > >();
+   function_requires<DistributionConcept<dist_test::lognormal > >();
+   function_requires<DistributionConcept<dist_test::negative_binomial > >();
+   function_requires<DistributionConcept<dist_test::non_central_chi_squared > >();
+   function_requires<DistributionConcept<dist_test::non_central_beta > >();
+   function_requires<DistributionConcept<dist_test::non_central_f > >();
+   function_requires<DistributionConcept<dist_test::non_central_t > >();
+   function_requires<DistributionConcept<dist_test::normal > >();
+   function_requires<DistributionConcept<dist_test::pareto > >();
+   function_requires<DistributionConcept<dist_test::poisson > >();
+   function_requires<DistributionConcept<dist_test::rayleigh > >();
+   function_requires<DistributionConcept<dist_test::students_t > >();
+   function_requires<DistributionConcept<dist_test::triangular > >();
+   function_requires<DistributionConcept<dist_test::uniform > >();
+   function_requires<DistributionConcept<dist_test::weibull > >();
+   function_requires<DistributionConcept<dist_test::hypergeometric > >();
+#endif
+#endif
+   int i = 1;
+   // Deal with unused variable warnings:
+   (void)i;
+   RealType v1(0.5), v2(0.5), v3(0.5);
+   boost::detail::dummy_constructor dc;
+   boost::output_iterator_archetype<RealType> oi(dc);
+#ifdef TEST_GROUP_4
+   boost::math::tgamma(v1);
+   boost::math::tgamma1pm1(v1);
+   boost::math::lgamma(v1);
+   boost::math::lgamma(v1, &i);
+   boost::math::digamma(v1);
+   boost::math::trigamma(v1);
+   boost::math::polygamma(i, v1);
+   boost::math::tgamma_ratio(v1, v2);
+   boost::math::tgamma_delta_ratio(v1, v2);
+   boost::math::factorial<RealType>(i);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i);
+   boost::math::rising_factorial(v1, i);
+   boost::math::falling_factorial(v1, i);
+   boost::math::tgamma(v1, v2);
+   boost::math::tgamma_lower(v1, v2);
+   boost::math::gamma_p(v1, v2);
+   boost::math::gamma_q(v1, v2);
+   boost::math::gamma_p_inv(v1, v2);
+   boost::math::gamma_q_inv(v1, v2);
+   boost::math::gamma_p_inva(v1, v2);
+   boost::math::gamma_q_inva(v1, v2);
+   boost::math::erf(v1);
+   boost::math::erfc(v1);
+   boost::math::erf_inv(v1);
+   boost::math::erfc_inv(v1);
+   boost::math::beta(v1, v2);
+   boost::math::beta(v1, v2, v3);
+   boost::math::betac(v1, v2, v3);
+   boost::math::ibeta(v1, v2, v3);
+   boost::math::ibetac(v1, v2, v3);
+   boost::math::ibeta_inv(v1, v2, v3);
+   boost::math::ibetac_inv(v1, v2, v3);
+   boost::math::ibeta_inva(v1, v2, v3);
+   boost::math::ibetac_inva(v1, v2, v3);
+   boost::math::ibeta_invb(v1, v2, v3);
+   boost::math::ibetac_invb(v1, v2, v3);
+   boost::math::gamma_p_derivative(v2, v3);
+   boost::math::ibeta_derivative(v1, v2, v3);
+   boost::math::binomial_coefficient<RealType>(i, i);
+   (boost::math::fpclassify)(v1);
+   (boost::math::isfinite)(v1);
+   (boost::math::isnormal)(v1);
+   (boost::math::isnan)(v1);
+   (boost::math::isinf)(v1);
+   (boost::math::signbit)(v1);
+   (boost::math::copysign)(v1, v2);
+   (boost::math::changesign)(v1);
+   (boost::math::sign)(v1);
+   boost::math::log1p(v1);
+   boost::math::expm1(v1);
+   boost::math::cbrt(v1);
+   boost::math::sqrt1pm1(v1);
+   boost::math::powm1(v1, v2);
+   boost::math::legendre_p(1, v1);
+   boost::math::legendre_p(1, 0, v1);
+   boost::math::legendre_q(1, v1);
+   boost::math::legendre_p_prime(1, v1);
+   boost::math::legendre_next(2, v1, v2, v3);
+   boost::math::legendre_next(2, 2, v1, v2, v3);
+   boost::math::laguerre(1, v1);
+   boost::math::laguerre(2, 1, v1);
+   boost::math::laguerre(2u, 1u, v1);
+   boost::math::laguerre_next(2, v1, v2, v3);
+   boost::math::laguerre_next(2, 1, v1, v2, v3);
+   boost::math::hermite(1, v1);
+   boost::math::hermite_next(2, v1, v2, v3);
+   boost::math::chebyshev_next(v1, v2, v3);
+   boost::math::chebyshev_t(1, v1);
+   boost::math::chebyshev_u(1, v1);
+   boost::math::chebyshev_t_prime(1, v1);
+   boost::math::chebyshev_clenshaw_recurrence(&v1, 0, v2);
+   boost::math::spherical_harmonic_r(2, 1, v1, v2);
+   boost::math::spherical_harmonic_i(2, 1, v1, v2);
+   boost::math::ellint_1(v1);
+   boost::math::ellint_1(v1, v2);
+   boost::math::ellint_2(v1);
+   boost::math::ellint_2(v1, v2);
+   boost::math::ellint_3(v1, v2);
+   boost::math::ellint_3(v1, v2, v3);
+   boost::math::ellint_d(v1);
+   boost::math::ellint_d(v1, v2);
+   boost::math::jacobi_zeta(v1, v2);
+   boost::math::heuman_lambda(v1, v2);
+   boost::math::ellint_rc(v1, v2);
+   boost::math::ellint_rd(v1, v2, v3);
+   boost::math::ellint_rf(v1, v2, v3);
+   boost::math::ellint_rg(v1, v2, v3);
+   boost::math::ellint_rj(v1, v2, v3, v1);
+   boost::math::jacobi_elliptic(v1, v2, &v1, &v2);
+   boost::math::jacobi_cd(v1, v2);
+   boost::math::jacobi_cn(v1, v2);
+   boost::math::jacobi_cs(v1, v2);
+   boost::math::jacobi_dc(v1, v2);
+   boost::math::jacobi_dn(v1, v2);
+   boost::math::jacobi_ds(v1, v2);
+   boost::math::jacobi_nc(v1, v2);
+   boost::math::jacobi_nd(v1, v2);
+   boost::math::jacobi_ns(v1, v2);
+   boost::math::jacobi_sc(v1, v2);
+   boost::math::jacobi_sd(v1, v2);
+   boost::math::jacobi_sn(v1, v2);
+   boost::math::hypot(v1, v2);
+   boost::math::sinc_pi(v1);
+   boost::math::sinhc_pi(v1);
+   boost::math::asinh(v1);
+   boost::math::acosh(v1);
+   boost::math::atanh(v1);
+   boost::math::sin_pi(v1);
+   boost::math::cos_pi(v1);
+   boost::math::cyl_neumann(v1, v2);
+   boost::math::cyl_neumann(i, v2);
+   boost::math::cyl_bessel_j(v1, v2);
+   boost::math::cyl_bessel_j(i, v2);
+   boost::math::cyl_bessel_i(v1, v2);
+   boost::math::cyl_bessel_i(i, v2);
+   boost::math::cyl_bessel_k(v1, v2);
+   boost::math::cyl_bessel_k(i, v2);
+   boost::math::sph_bessel(i, v2);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, v2);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(v1, v2);
+   boost::math::cyl_neumann_prime(i, v2);
+   boost::math::cyl_bessel_j_prime(v1, v2);
+   boost::math::cyl_bessel_j_prime(i, v2);
+   boost::math::cyl_bessel_i_prime(v1, v2);
+   boost::math::cyl_bessel_i_prime(i, v2);
+   boost::math::cyl_bessel_k_prime(v1, v2);
+   boost::math::cyl_bessel_k_prime(i, v2);
+   boost::math::sph_bessel_prime(i, v2);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, v2);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::cyl_bessel_j_zero(v1, i);
+   boost::math::cyl_bessel_j_zero(v1, i, i, oi);
+   boost::math::cyl_neumann_zero(v1, i);
+   boost::math::cyl_neumann_zero(v1, i, i, oi);
+   boost::math::lambert_w0(v1);
+   boost::math::lambert_wm1(v1);
+   boost::math::lambert_w0_prime(v1);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2);
+   boost::math::cyl_hankel_1(i, v2);
+   boost::math::cyl_hankel_2(v1, v2);
+   boost::math::cyl_hankel_2(i, v2);
+   boost::math::sph_hankel_1(v1, v2);
+   boost::math::sph_hankel_1(i, v2);
+   boost::math::sph_hankel_2(v1, v2);
+   boost::math::sph_hankel_2(i, v2);
+#endif
+   boost::math::airy_ai(v1);
+   boost::math::airy_bi(v1);
+   boost::math::airy_ai_prime(v1);
+   boost::math::airy_bi_prime(v1);
+
+   boost::math::airy_ai_zero<RealType>(i);
+   boost::math::airy_bi_zero<RealType>(i);
+   boost::math::airy_ai_zero<RealType>(i, i, oi);
+   boost::math::airy_bi_zero<RealType>(i, i, oi);
+
+   boost::math::hypergeometric_1F0(v1, v2);
+   boost::math::hypergeometric_0F1(v1, v2);
+   boost::math::hypergeometric_2F0(v1, v2, v3);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   boost::math::hypergeometric_1F1(v1, v2, v3);
+#ifndef BOOST_NO_CXX11_HDR_INITIALIZER_LIST
+   boost::math::hypergeometric_pFq({ v1 }, { v2 }, v3);
+#endif
+#endif
+
+   boost::math::expint(v1);
+   boost::math::expint(i);
+   boost::math::expint(i, v2);
+   boost::math::expint(i, i);
+   boost::math::zeta(v1);
+   boost::math::zeta(i);
+   boost::math::owens_t(v1, v2);
+   boost::math::trunc(v1);
+   boost::math::itrunc(v1);
+   boost::math::ltrunc(v1);
+   boost::math::round(v1);
+   boost::math::iround(v1);
+   boost::math::lround(v1);
+   boost::math::modf(v1, &v1);
+   boost::math::modf(v1, &i);
+   long l;
+   boost::math::modf(v1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   boost::math::lltrunc(v1);
+   boost::math::llround(v1);
+   boost::long_long_type ll;
+   boost::math::modf(v1, &ll);
+#endif
+   boost::math::pow<2>(v1);
+   boost::math::nextafter(v1, v1);
+   boost::math::float_next(v1);
+   boost::math::float_prior(v1);
+   boost::math::float_distance(v1, v1);
+   boost::math::ulp(v1);
+   boost::math::relative_difference(v1, v2);
+   boost::math::epsilon_difference(v1, v2);
+
+   boost::math::unchecked_bernoulli_b2n<RealType>(i);
+   boost::math::bernoulli_b2n<RealType>(i);
+   boost::math::bernoulli_b2n<RealType>(i, i, &v1);
+   boost::math::tangent_t2n<RealType>(i);
+   boost::math::tangent_t2n<RealType>(i, i, &v1);
+
+#endif
+#ifdef TEST_GROUP_9
+   //
+   // Over again, but arguments may be expression templates:
+   //
+   boost::math::tgamma(v1 + 0);
+   boost::math::tgamma1pm1(v1 + 0);
+   boost::math::lgamma(v1 * 1);
+   boost::math::lgamma(v1 * 1, &i);
+   boost::math::digamma(v1 * 1);
+   boost::math::trigamma(v1 * 1);
+   boost::math::polygamma(i, v1 * 1);
+   boost::math::tgamma_ratio(v1 * 1, v2 + 0);
+   boost::math::tgamma_delta_ratio(v1 * 1, v2 + 0);
+   boost::math::factorial<RealType>(i);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i);
+   boost::math::rising_factorial(v1 * 1, i);
+   boost::math::falling_factorial(v1 * 1, i);
+   boost::math::tgamma(v1 * 1, v2 + 0);
+   boost::math::tgamma_lower(v1 * 1, v2 - 0);
+   boost::math::gamma_p(v1 * 1, v2 + 0);
+   boost::math::gamma_q(v1 * 1, v2 + 0);
+   boost::math::gamma_p_inv(v1 * 1, v2 + 0);
+   boost::math::gamma_q_inv(v1 * 1, v2 + 0);
+   boost::math::gamma_p_inva(v1 * 1, v2 + 0);
+   boost::math::gamma_q_inva(v1 * 1, v2 + 0);
+   boost::math::erf(v1 * 1);
+   boost::math::erfc(v1 * 1);
+   boost::math::erf_inv(v1 * 1);
+   boost::math::erfc_inv(v1 * 1);
+   boost::math::beta(v1 * 1, v2 + 0);
+   boost::math::beta(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::betac(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_inv(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_inv(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_inva(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_inva(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_invb(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_invb(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::gamma_p_derivative(v2 * 1, v3 + 0);
+   boost::math::ibeta_derivative(v1 * 1, v2 + 0, v3 / 1);
+   (boost::math::fpclassify)(v1 * 1);
+   (boost::math::isfinite)(v1 * 1);
+   (boost::math::isnormal)(v1 * 1);
+   (boost::math::isnan)(v1 * 1);
+   (boost::math::isinf)(v1 * 1);
+   (boost::math::signbit)(v1 * 1);
+   (boost::math::copysign)(v1 * 1, v2 + 0);
+   (boost::math::changesign)(v1 * 1);
+   (boost::math::sign)(v1 * 1);
+   boost::math::log1p(v1 * 1);
+   boost::math::expm1(v1 * 1);
+   boost::math::cbrt(v1 * 1);
+   boost::math::sqrt1pm1(v1 * 1);
+   boost::math::powm1(v1 * 1, v2 + 0);
+   boost::math::legendre_p(1, v1 * 1);
+   boost::math::legendre_p(1, 0, v1 * 1);
+   boost::math::legendre_p_prime(1, v1 * 1);
+   boost::math::legendre_q(1, v1 * 1);
+   boost::math::legendre_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::legendre_next(2, 2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::laguerre(1, v1 * 1);
+   boost::math::laguerre(2, 1, v1 * 1);
+   boost::math::laguerre(2u, 1u, v1 * 1);
+   boost::math::laguerre_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::laguerre_next(2, 1, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::hermite(1, v1 * 1);
+   boost::math::hermite_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::chebyshev_next(2 * v1, 1 + v2, 3 * v3);
+   boost::math::chebyshev_t(1, 2 * v1);
+   boost::math::chebyshev_u(1, 2 * v1);
+   boost::math::chebyshev_t_prime(1, 2 * v1);
+   boost::math::chebyshev_clenshaw_recurrence(&v1, 0, 2 * v2);
+   boost::math::spherical_harmonic_r(2, 1, v1 * 1, v2 + 0);
+   boost::math::spherical_harmonic_i(2, 1, v1 * 1, v2 + 0);
+   boost::math::ellint_1(v1 * 1);
+   boost::math::ellint_1(v1 * 1, v2 + 0);
+   boost::math::ellint_2(v1 * 1);
+   boost::math::ellint_2(v1 * 1, v2 + 0);
+   boost::math::ellint_3(v1 * 1, v2 + 0);
+   boost::math::ellint_3(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rc(v1 * 1, v2 + 0);
+   boost::math::ellint_rd(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rf(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rg(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rj(v1 * 1, v2 + 0, v3 / 1, v1 * 1);
+   boost::math::ellint_d(v1 * 1);
+   boost::math::ellint_d(v1 * 1, v2 + 0);
+   boost::math::jacobi_zeta(v1 * 1, v2 + 0);
+   boost::math::heuman_lambda(v1 * 1, v2 + 0);
+   boost::math::jacobi_elliptic(v1 * 1, v2 + 0, &v1, &v2);
+   boost::math::jacobi_cd(v1 * 1, v2 + 0);
+   boost::math::jacobi_cn(v1 * 1, v2 + 0);
+   boost::math::jacobi_cs(v1 * 1, v2 + 0);
+   boost::math::jacobi_dc(v1 * 1, v2 + 0);
+   boost::math::jacobi_dn(v1 * 1, v2 + 0);
+   boost::math::jacobi_ds(v1 * 1, v2 + 0);
+   boost::math::jacobi_nc(v1 * 1, v2 + 0);
+   boost::math::jacobi_nd(v1 * 1, v2 + 0);
+   boost::math::jacobi_ns(v1 * 1, v2 + 0);
+   boost::math::jacobi_sc(v1 * 1, v2 + 0);
+   boost::math::jacobi_sd(v1 * 1, v2 + 0);
+   boost::math::jacobi_sn(v1 * 1, v2 + 0);
+   boost::math::hypot(v1 * 1, v2 + 0);
+   boost::math::sinc_pi(v1 * 1);
+   boost::math::sinhc_pi(v1 * 1);
+   boost::math::asinh(v1 * 1);
+   boost::math::acosh(v1 * 1);
+   boost::math::atanh(v1 * 1);
+   boost::math::sin_pi(v1 * 1);
+   boost::math::cos_pi(v1 * 1);
+   boost::math::cyl_neumann(v1 * 1, v2 + 0);
+   boost::math::cyl_neumann(i, v2 * 1);
+   boost::math::cyl_bessel_j(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_j(i, v2 * 1);
+   boost::math::cyl_bessel_i(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_i(i, v2 * 1);
+   boost::math::cyl_bessel_k(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_k(i, v2 * 1);
+   boost::math::sph_bessel(i, v2 * 1);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, v2 * 1);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_neumann_prime(i, v2 * 1);
+   boost::math::cyl_bessel_j_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_j_prime(i, v2 * 1);
+   boost::math::cyl_bessel_i_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_i_prime(i, v2 * 1);
+   boost::math::cyl_bessel_k_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_k_prime(i, v2 * 1);
+   boost::math::sph_bessel_prime(i, v2 * 1);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, v2 * 1);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::cyl_bessel_j_zero(v1 * 1, i);
+   boost::math::cyl_bessel_j_zero(v1 * 1, i, i, oi);
+   boost::math::cyl_neumann_zero(v1 * 1, i);
+   boost::math::cyl_neumann_zero(v1 * 1, i, i, oi);
+   boost::math::lambert_w0(v1 * 1);
+   boost::math::lambert_wm1(v1 * 1);
+   boost::math::lambert_w0_prime(v1 * 1);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2);
+   boost::math::cyl_hankel_1(i, v2);
+   boost::math::cyl_hankel_2(v1, v2);
+   boost::math::cyl_hankel_2(i, v2);
+   boost::math::sph_hankel_1(v1, v2);
+   boost::math::sph_hankel_1(i, v2);
+   boost::math::sph_hankel_2(v1, v2);
+   boost::math::sph_hankel_2(i, v2);
+#endif
+   boost::math::airy_ai(v1 * 1);
+   boost::math::airy_bi(v1 * 1);
+   boost::math::airy_ai_prime(v1 * 1);
+   boost::math::airy_bi_prime(v1 * 1);
+   boost::math::expint(v1 * 1);
+   boost::math::expint(i);
+   boost::math::expint(i, v2 * 1);
+   boost::math::expint(i, i);
+   boost::math::zeta(v1 * 1);
+   boost::math::zeta(i);
+   boost::math::owens_t(v1 * 1, v2 + 0);
+   boost::math::trunc(v1 * 1);
+   boost::math::itrunc(v1 * 1);
+   boost::math::ltrunc(v1 * 1);
+   boost::math::round(v1 * 1);
+   boost::math::iround(v1 * 1);
+   boost::math::lround(v1 * 1);
+   //boost::math::modf(v1 * 1, &v1);
+   //boost::math::modf(v1 * 1, &i);
+   //long l;
+   //boost::math::modf(v1 * 1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   boost::math::lltrunc(v1 * 1);
+   boost::math::llround(v1 * 1);
+   //boost::long_long_type ll;
+   //boost::math::modf(v1 * 1, &ll);
+#endif
+   boost::math::pow<2>(v1 * 1);
+   boost::math::nextafter(v1 * 1, v1 + 0);
+   boost::math::float_next(v1 * 1);
+   boost::math::float_prior(v1 * 1);
+   boost::math::float_distance(v1 * 1, v1 * 1);
+   boost::math::ulp(v1 * 1);
+   boost::math::relative_difference(v1 * 1, v2 * 1);
+   boost::math::epsilon_difference(v1 * 1, v2 * 1);
+#endif
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+#ifdef TEST_GROUP_5
+   //
+   // All over again, with a policy this time:
+   //
+   test_policy pol;
+   boost::math::tgamma(v1, pol);
+   boost::math::tgamma1pm1(v1, pol);
+   boost::math::lgamma(v1, pol);
+   boost::math::lgamma(v1, &i, pol);
+   boost::math::digamma(v1, pol);
+   boost::math::trigamma(v1, pol);
+   boost::math::polygamma(i, v1, pol);
+   boost::math::tgamma_ratio(v1, v2, pol);
+   boost::math::tgamma_delta_ratio(v1, v2, pol);
+   boost::math::factorial<RealType>(i, pol);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i, pol);
+   boost::math::rising_factorial(v1, i, pol);
+   boost::math::falling_factorial(v1, i, pol);
+   boost::math::tgamma(v1, v2, pol);
+   boost::math::tgamma_lower(v1, v2, pol);
+   boost::math::gamma_p(v1, v2, pol);
+   boost::math::gamma_q(v1, v2, pol);
+   boost::math::gamma_p_inv(v1, v2, pol);
+   boost::math::gamma_q_inv(v1, v2, pol);
+   boost::math::gamma_p_inva(v1, v2, pol);
+   boost::math::gamma_q_inva(v1, v2, pol);
+   boost::math::erf(v1, pol);
+   boost::math::erfc(v1, pol);
+   boost::math::erf_inv(v1, pol);
+   boost::math::erfc_inv(v1, pol);
+   boost::math::beta(v1, v2, pol);
+   boost::math::beta(v1, v2, v3, pol);
+   boost::math::betac(v1, v2, v3, pol);
+   boost::math::ibeta(v1, v2, v3, pol);
+   boost::math::ibetac(v1, v2, v3, pol);
+   boost::math::ibeta_inv(v1, v2, v3, pol);
+   boost::math::ibetac_inv(v1, v2, v3, pol);
+   boost::math::ibeta_inva(v1, v2, v3, pol);
+   boost::math::ibetac_inva(v1, v2, v3, pol);
+   boost::math::ibeta_invb(v1, v2, v3, pol);
+   boost::math::ibetac_invb(v1, v2, v3, pol);
+   boost::math::gamma_p_derivative(v2, v3, pol);
+   boost::math::ibeta_derivative(v1, v2, v3, pol);
+   boost::math::binomial_coefficient<RealType>(i, i, pol);
+   boost::math::log1p(v1, pol);
+   boost::math::expm1(v1, pol);
+   boost::math::cbrt(v1, pol);
+   boost::math::sqrt1pm1(v1, pol);
+   boost::math::powm1(v1, v2, pol);
+   boost::math::legendre_p(1, v1, pol);
+   boost::math::legendre_p(1, 0, v1, pol);
+   boost::math::legendre_p_prime(1, v1 * 1, pol);
+   boost::math::legendre_q(1, v1, pol);
+   boost::math::legendre_next(2, v1, v2, v3);
+   boost::math::legendre_next(2, 2, v1, v2, v3);
+   boost::math::laguerre(1, v1, pol);
+   boost::math::laguerre(2, 1, v1, pol);
+   boost::math::laguerre_next(2, v1, v2, v3);
+   boost::math::laguerre_next(2, 1, v1, v2, v3);
+   boost::math::hermite(1, v1, pol);
+   boost::math::hermite_next(2, v1, v2, v3);
+   boost::math::chebyshev_t(1, v1, pol);
+   boost::math::chebyshev_u(1, v1, pol);
+   boost::math::chebyshev_t_prime(1, v1, pol);
+   boost::math::spherical_harmonic_r(2, 1, v1, v2, pol);
+   boost::math::spherical_harmonic_i(2, 1, v1, v2, pol);
+   boost::math::ellint_1(v1, pol);
+   boost::math::ellint_1(v1, v2, pol);
+   boost::math::ellint_2(v1, pol);
+   boost::math::ellint_2(v1, v2, pol);
+   boost::math::ellint_3(v1, v2, pol);
+   boost::math::ellint_3(v1, v2, v3, pol);
+   boost::math::ellint_d(v1, pol);
+   boost::math::ellint_d(v1, v2, pol);
+   boost::math::jacobi_zeta(v1, v2, pol);
+   boost::math::heuman_lambda(v1, v2, pol);
+   boost::math::ellint_rc(v1, v2, pol);
+   boost::math::ellint_rd(v1, v2, v3, pol);
+   boost::math::ellint_rf(v1, v2, v3, pol);
+   boost::math::ellint_rg(v1, v2, v3, pol);
+   boost::math::ellint_rj(v1, v2, v3, v1, pol);
+   boost::math::jacobi_elliptic(v1, v2, &v1, &v2, pol);
+   boost::math::jacobi_cd(v1, v2, pol);
+   boost::math::jacobi_cn(v1, v2, pol);
+   boost::math::jacobi_cs(v1, v2, pol);
+   boost::math::jacobi_dc(v1, v2, pol);
+   boost::math::jacobi_dn(v1, v2, pol);
+   boost::math::jacobi_ds(v1, v2, pol);
+   boost::math::jacobi_nc(v1, v2, pol);
+   boost::math::jacobi_nd(v1, v2, pol);
+   boost::math::jacobi_ns(v1, v2, pol);
+   boost::math::jacobi_sc(v1, v2, pol);
+   boost::math::jacobi_sd(v1, v2, pol);
+   boost::math::jacobi_sn(v1, v2, pol);
+   boost::math::hypot(v1, v2, pol);
+   boost::math::sinc_pi(v1, pol);
+   boost::math::sinhc_pi(v1, pol);
+   boost::math::asinh(v1, pol);
+   boost::math::acosh(v1, pol);
+   boost::math::atanh(v1, pol);
+   boost::math::sin_pi(v1, pol);
+   boost::math::cos_pi(v1, pol);
+   boost::math::cyl_neumann(v1, v2, pol);
+   boost::math::cyl_neumann(i, v2, pol);
+   boost::math::cyl_bessel_j(v1, v2, pol);
+   boost::math::cyl_bessel_j(i, v2, pol);
+   boost::math::cyl_bessel_i(v1, v2, pol);
+   boost::math::cyl_bessel_i(i, v2, pol);
+   boost::math::cyl_bessel_k(v1, v2, pol);
+   boost::math::cyl_bessel_k(i, v2, pol);
+   boost::math::sph_bessel(i, v2, pol);
+   boost::math::sph_bessel(i, 1, pol);
+   boost::math::sph_neumann(i, v2, pol);
+   boost::math::sph_neumann(i, i, pol);
+   boost::math::cyl_neumann_prime(v1, v2, pol);
+   boost::math::cyl_neumann_prime(i, v2, pol);
+   boost::math::cyl_bessel_j_prime(v1, v2, pol);
+   boost::math::cyl_bessel_j_prime(i, v2, pol);
+   boost::math::cyl_bessel_i_prime(v1, v2, pol);
+   boost::math::cyl_bessel_i_prime(i, v2, pol);
+   boost::math::cyl_bessel_k_prime(v1, v2, pol);
+   boost::math::cyl_bessel_k_prime(i, v2, pol);
+   boost::math::sph_bessel_prime(i, v2, pol);
+   boost::math::sph_bessel_prime(i, 1, pol);
+   boost::math::sph_neumann_prime(i, v2, pol);
+   boost::math::sph_neumann_prime(i, i, pol);
+   boost::math::cyl_bessel_j_zero(v1, i, pol);
+   boost::math::cyl_bessel_j_zero(v1, i, i, oi, pol);
+   boost::math::cyl_neumann_zero(v1, i, pol);
+   boost::math::cyl_neumann_zero(v1, i, i, oi, pol);
+   boost::math::lambert_w0(v1, pol);
+   boost::math::lambert_wm1(v1, pol);
+   boost::math::lambert_w0_prime(v1, pol);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2, pol);
+   boost::math::cyl_hankel_1(i, v2, pol);
+   boost::math::cyl_hankel_2(v1, v2, pol);
+   boost::math::cyl_hankel_2(i, v2, pol);
+   boost::math::sph_hankel_1(v1, v2, pol);
+   boost::math::sph_hankel_1(i, v2, pol);
+   boost::math::sph_hankel_2(v1, v2, pol);
+   boost::math::sph_hankel_2(i, v2, pol);
+#endif
+   boost::math::airy_ai(v1, pol);
+   boost::math::airy_bi(v1, pol);
+   boost::math::airy_ai_prime(v1, pol);
+   boost::math::airy_bi_prime(v1, pol);
+
+   boost::math::airy_ai_zero<RealType>(i, pol);
+   boost::math::airy_bi_zero<RealType>(i, pol);
+   boost::math::airy_ai_zero<RealType>(i, i, oi, pol);
+   boost::math::airy_bi_zero<RealType>(i, i, oi, pol);
+
+   boost::math::hypergeometric_1F0(i, v2, pol);
+   boost::math::hypergeometric_1F0(v1, i, pol);
+   boost::math::hypergeometric_1F0(i, i, pol);
+   boost::math::hypergeometric_0F1(i, v2, pol);
+   boost::math::hypergeometric_0F1(v1, i, pol);
+   boost::math::hypergeometric_0F1(i, i, pol);
+   boost::math::hypergeometric_2F0(i, v2, v3, pol);
+   boost::math::hypergeometric_2F0(v1, i, v3, pol);
+   boost::math::hypergeometric_2F0(v1, v2, i, pol);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   boost::math::hypergeometric_1F1(i, v2, v3, pol);
+   boost::math::hypergeometric_1F1(v1, i, v3, pol);
+   boost::math::hypergeometric_1F1(v1, v2, i, pol);
+#endif
+
+   boost::math::expint(v1, pol);
+   boost::math::expint(i, pol);
+   boost::math::expint(i, v2, pol);
+   boost::math::expint(i, i, pol);
+   boost::math::zeta(v1, pol);
+   boost::math::zeta(i, pol);
+   boost::math::owens_t(v1, v2, pol);
+   //
+   // These next functions are intended to be found via ADL:
+   //
+   BOOST_MATH_STD_USING
+   trunc(v1, pol);
+   itrunc(v1, pol);
+   ltrunc(v1, pol);
+   round(v1, pol);
+   iround(v1, pol);
+   lround(v1, pol);
+   modf(v1, &v1, pol);
+   modf(v1, &i, pol);
+   modf(v1, &l, pol);
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::lltrunc;
+   using boost::math::llround;
+   lltrunc(v1, pol);
+   llround(v1, pol);
+   modf(v1, &ll, pol);
+#endif
+   boost::math::pow<2>(v1, pol);
+   boost::math::nextafter(v1, v1, pol);
+   boost::math::float_next(v1, pol);
+   boost::math::float_prior(v1, pol);
+   boost::math::float_distance(v1, v1, pol);
+   boost::math::ulp(v1, pol);
+
+   boost::math::bernoulli_b2n<RealType>(i, pol);
+   boost::math::bernoulli_b2n<RealType>(i, i, &v1, pol);
+   boost::math::tangent_t2n<RealType>(i, pol);
+   boost::math::tangent_t2n<RealType>(i, i, &v1, pol);
+#endif
+#ifdef TEST_GROUP_6
+   //
+   // All over again with the versions in test::
+   //
+   test::tgamma(v1);
+   test::tgamma1pm1(v1);
+   test::lgamma(v1);
+   test::lgamma(v1, &i);
+   test::digamma(v1);
+   test::trigamma(v1);
+   test::polygamma(i, v1);
+   test::tgamma_ratio(v1, v2);
+   test::tgamma_delta_ratio(v1, v2);
+   test::factorial<RealType>(i);
+   test::unchecked_factorial<RealType>(i);
+   i = test::max_factorial<RealType>::value;
+   test::double_factorial<RealType>(i);
+   test::rising_factorial(v1, i);
+   test::falling_factorial(v1, i);
+   test::tgamma(v1, v2);
+   test::tgamma_lower(v1, v2);
+   test::gamma_p(v1, v2);
+   test::gamma_q(v1, v2);
+   test::gamma_p_inv(v1, v2);
+   test::gamma_q_inv(v1, v2);
+   test::gamma_p_inva(v1, v2);
+   test::gamma_q_inva(v1, v2);
+   test::erf(v1);
+   test::erfc(v1);
+   test::erf_inv(v1);
+   test::erfc_inv(v1);
+   test::beta(v1, v2);
+   test::beta(v1, v2, v3);
+   test::betac(v1, v2, v3);
+   test::ibeta(v1, v2, v3);
+   test::ibetac(v1, v2, v3);
+   test::ibeta_inv(v1, v2, v3);
+   test::ibetac_inv(v1, v2, v3);
+   test::ibeta_inva(v1, v2, v3);
+   test::ibetac_inva(v1, v2, v3);
+   test::ibeta_invb(v1, v2, v3);
+   test::ibetac_invb(v1, v2, v3);
+   test::gamma_p_derivative(v2, v3);
+   test::ibeta_derivative(v1, v2, v3);
+   test::binomial_coefficient<RealType>(i, i);
+   (test::fpclassify)(v1);
+   (test::isfinite)(v1);
+   (test::isnormal)(v1);
+   (test::isnan)(v1);
+   (test::isinf)(v1);
+   (test::signbit)(v1);
+   (test::copysign)(v1, v2);
+   (test::changesign)(v1);
+   (test::sign)(v1);
+   test::log1p(v1);
+   test::expm1(v1);
+   test::cbrt(v1);
+   test::sqrt1pm1(v1);
+   test::powm1(v1, v2);
+   test::legendre_p(1, v1);
+   test::legendre_p(1, 0, v1);
+   test::legendre_p_prime(1, v1 * 1);
+   test::legendre_q(1, v1);
+   test::legendre_next(2, v1, v2, v3);
+   test::legendre_next(2, 2, v1, v2, v3);
+   test::laguerre(1, v1);
+   test::laguerre(2, 1, v1);
+   test::laguerre_next(2, v1, v2, v3);
+   test::laguerre_next(2, 1, v1, v2, v3);
+   test::hermite(1, v1);
+   test::hermite_next(2, v1, v2, v3);
+   test::chebyshev_next(v1, v2, v3);
+   test::chebyshev_t(1, v1);
+   test::chebyshev_u(1, v1);
+   test::chebyshev_t_prime(1, v1);
+   test::chebyshev_clenshaw_recurrence(&v1, 0, v2);
+   test::spherical_harmonic_r(2, 1, v1, v2);
+   test::spherical_harmonic_i(2, 1, v1, v2);
+   test::ellint_1(v1);
+   test::ellint_1(v1, v2);
+   test::ellint_2(v1);
+   test::ellint_2(v1, v2);
+   test::ellint_3(v1, v2);
+   test::ellint_3(v1, v2, v3);
+   test::ellint_d(v1);
+   test::ellint_d(v1, v2);
+   test::jacobi_zeta(v1, v2);
+   test::heuman_lambda(v1, v2);
+   test::ellint_rc(v1, v2);
+   test::ellint_rd(v1, v2, v3);
+   test::ellint_rf(v1, v2, v3);
+   test::ellint_rg(v1, v2, v3);
+   test::ellint_rj(v1, v2, v3, v1);
+   test::jacobi_elliptic(v1, v2, &v1, &v2);
+   test::jacobi_cd(v1, v2);
+   test::jacobi_cn(v1, v2);
+   test::jacobi_cs(v1, v2);
+   test::jacobi_dc(v1, v2);
+   test::jacobi_dn(v1, v2);
+   test::jacobi_ds(v1, v2);
+   test::jacobi_nc(v1, v2);
+   test::jacobi_nd(v1, v2);
+   test::jacobi_ns(v1, v2);
+   test::jacobi_sc(v1, v2);
+   test::jacobi_sd(v1, v2);
+   test::jacobi_sn(v1, v2);
+   test::hypot(v1, v2);
+   test::sinc_pi(v1);
+   test::sinhc_pi(v1);
+   test::asinh(v1);
+   test::acosh(v1);
+   test::atanh(v1);
+   test::sin_pi(v1);
+   test::cos_pi(v1);
+   test::cyl_neumann(v1, v2);
+   test::cyl_neumann(i, v2);
+   test::cyl_bessel_j(v1, v2);
+   test::cyl_bessel_j(i, v2);
+   test::cyl_bessel_i(v1, v2);
+   test::cyl_bessel_i(i, v2);
+   test::cyl_bessel_k(v1, v2);
+   test::cyl_bessel_k(i, v2);
+   test::sph_bessel(i, v2);
+   test::sph_bessel(i, 1);
+   test::sph_neumann(i, v2);
+   test::sph_neumann(i, i);
+   test::cyl_neumann_prime(v1, v2);
+   test::cyl_neumann_prime(i, v2);
+   test::cyl_bessel_j_prime(v1, v2);
+   test::cyl_bessel_j_prime(i, v2);
+   test::cyl_bessel_i_prime(v1, v2);
+   test::cyl_bessel_i_prime(i, v2);
+   test::cyl_bessel_k_prime(v1, v2);
+   test::cyl_bessel_k_prime(i, v2);
+   test::sph_bessel_prime(i, v2);
+   test::sph_bessel_prime(i, 1);
+   test::sph_neumann_prime(i, v2);
+   test::sph_neumann_prime(i, i);
+   test::cyl_bessel_j_zero(v1, i);
+   test::cyl_bessel_j_zero(v1, i, i, oi);
+   test::cyl_neumann_zero(v1, i);
+   test::cyl_neumann_zero(v1, i, i, oi);
+   test::lambert_w0(v1);
+   test::lambert_wm1(v1);
+   test::lambert_w0_prime(v1);
+#ifdef TEST_COMPLEX
+   test::cyl_hankel_1(v1, v2);
+   test::cyl_hankel_1(i, v2);
+   test::cyl_hankel_2(v1, v2);
+   test::cyl_hankel_2(i, v2);
+   test::sph_hankel_1(v1, v2);
+   test::sph_hankel_1(i, v2);
+   test::sph_hankel_2(v1, v2);
+   test::sph_hankel_2(i, v2);
+#endif
+   test::airy_ai(i);
+   test::airy_bi(i);
+   test::airy_ai_prime(i);
+   test::airy_bi_prime(i);
+
+   test::airy_ai_zero<RealType>(i);
+   test::airy_bi_zero<RealType>(i);
+   test::airy_ai_zero<RealType>(i, i, oi);
+   test::airy_bi_zero<RealType>(i, i, oi);
+
+   test::hypergeometric_1F0(v1, v2);
+   test::hypergeometric_0F1(v1, v2);
+   test::hypergeometric_2F0(v1, v1, v2);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   test::hypergeometric_1F1(v1, v2, v2);
+#endif
+
+   test::expint(v1);
+   test::expint(i);
+   test::expint(i, v2);
+   test::expint(i, i);
+   test::zeta(v1);
+   test::zeta(i);
+   test::owens_t(v1, v2);
+   test::trunc(v1);
+   test::itrunc(v1);
+   test::ltrunc(v1);
+   test::round(v1);
+   test::iround(v1);
+   test::lround(v1);
+   test::modf(v1, &v1);
+   test::modf(v1, &i);
+   test::modf(v1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   test::lltrunc(v1);
+   test::llround(v1);
+   test::modf(v1, &ll);
+#endif
+   test::pow<2>(v1);
+   test::nextafter(v1, v1);
+   test::float_next(v1);
+   test::float_prior(v1);
+   test::float_distance(v1, v1);
+   test::ulp(v1);
+#endif
+#endif
+}
+
+template <class RealType>
+void instantiate_mixed(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+   int i = 1;
+   (void)i;
+   long l = 1;
+   (void)l;
+   short s = 1;
+   (void)s;
+   float fr = 0.5F;
+   (void)fr;
+   double dr = 0.5;
+   (void)dr;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   long double lr = 0.5L;
+   (void)lr;
+#else
+   double lr = 0.5L;
+   (void)lr;
+#endif
+#ifdef TEST_GROUP_7
+   boost::math::tgamma(i);
+   boost::math::tgamma1pm1(i);
+   boost::math::lgamma(i);
+   boost::math::lgamma(i, &i);
+   boost::math::digamma(i);
+   boost::math::trigamma(i);
+   boost::math::polygamma(i, i);
+   boost::math::tgamma_ratio(i, l);
+   boost::math::tgamma_ratio(fr, lr);
+   boost::math::tgamma_delta_ratio(i, s);
+   boost::math::tgamma_delta_ratio(fr, lr);
+   boost::math::rising_factorial(s, i);
+   boost::math::falling_factorial(s, i);
+   boost::math::tgamma(i, l);
+   boost::math::tgamma(fr, lr);
+   boost::math::tgamma_lower(i, s);
+   boost::math::tgamma_lower(fr, lr);
+   boost::math::gamma_p(i, s);
+   boost::math::gamma_p(fr, lr);
+   boost::math::gamma_q(i, s);
+   boost::math::gamma_q(fr, lr);
+   boost::math::gamma_p_inv(i, fr);
+   boost::math::gamma_q_inv(s, fr);
+   boost::math::gamma_p_inva(i, lr);
+   boost::math::gamma_q_inva(i, lr);
+   boost::math::erf(i);
+   boost::math::erfc(i);
+   boost::math::erf_inv(i);
+   boost::math::erfc_inv(i);
+   boost::math::beta(i, s);
+   boost::math::beta(fr, lr);
+   boost::math::beta(i, s, l);
+   boost::math::beta(fr, dr, lr);
+   boost::math::betac(l, i, s);
+   boost::math::betac(fr, dr, lr);
+   boost::math::ibeta(l, i, s);
+   boost::math::ibeta(fr, dr, lr);
+   boost::math::ibetac(l, i, s);
+   boost::math::ibetac(fr, dr, lr);
+   boost::math::ibeta_inv(l, s, i);
+   boost::math::ibeta_inv(fr, dr, lr);
+   boost::math::ibetac_inv(l, i, s);
+   boost::math::ibetac_inv(fr, dr, lr);
+   boost::math::ibeta_inva(l, i, s);
+   boost::math::ibeta_inva(fr, dr, lr);
+   boost::math::ibetac_inva(l, i, s);
+   boost::math::ibetac_inva(fr, dr, lr);
+   boost::math::ibeta_invb(l, i, s);
+   boost::math::ibeta_invb(fr, dr, lr);
+   boost::math::ibetac_invb(l, i, s);
+   boost::math::ibetac_invb(fr, dr, lr);
+   boost::math::gamma_p_derivative(i, l);
+   boost::math::gamma_p_derivative(fr, lr);
+   boost::math::ibeta_derivative(l, i, s);
+   boost::math::ibeta_derivative(fr, dr, lr);
+   (boost::math::fpclassify)(i);
+   (boost::math::isfinite)(s);
+   (boost::math::isnormal)(l);
+   (boost::math::isnan)(i);
+   (boost::math::isinf)(l);
+   boost::math::log1p(i);
+   boost::math::expm1(s);
+   boost::math::cbrt(l);
+   boost::math::sqrt1pm1(s);
+   boost::math::powm1(i, s);
+   boost::math::powm1(fr, lr);
+   //boost::math::legendre_p(1, i);
+   boost::math::legendre_p(1, 0, s);
+   boost::math::legendre_q(1, i);
+   boost::math::laguerre(1, i);
+   boost::math::laguerre(2, 1, i);
+   boost::math::laguerre(2u, 1u, s);
+   boost::math::hermite(1, s);
+   boost::math::chebyshev_t(1, i);
+   boost::math::chebyshev_u(1, i);
+   boost::math::chebyshev_t_prime(1, i);
+   boost::math::spherical_harmonic_r(2, 1, s, i);
+   boost::math::spherical_harmonic_i(2, 1, fr, lr);
+   boost::math::ellint_1(i);
+   boost::math::ellint_1(i, s);
+   boost::math::ellint_1(fr, lr);
+   boost::math::ellint_2(i);
+   boost::math::ellint_2(i, l);
+   boost::math::ellint_2(fr, lr);
+   boost::math::ellint_3(i, l);
+   boost::math::ellint_3(fr, lr);
+   boost::math::ellint_3(s, l, i);
+   boost::math::ellint_3(fr, dr, lr);
+   boost::math::ellint_d(i);
+   boost::math::ellint_d(i, l);
+   boost::math::ellint_d(fr, lr);
+   boost::math::jacobi_zeta(i, l);
+   boost::math::jacobi_zeta(fr, lr);
+   boost::math::heuman_lambda(i, l);
+   boost::math::heuman_lambda(fr, lr);
+   boost::math::ellint_rc(i, s);
+   boost::math::ellint_rc(fr, lr);
+   boost::math::ellint_rd(s, i, l);
+   boost::math::ellint_rd(fr, lr, dr);
+   boost::math::ellint_rf(s, l, i);
+   boost::math::ellint_rf(fr, dr, lr);
+   boost::math::ellint_rg(s, l, i);
+   boost::math::ellint_rg(fr, dr, lr);
+   boost::math::ellint_rj(i, i, s, l);
+   boost::math::ellint_rj(i, fr, dr, lr);
+   boost::math::jacobi_cd(i, fr);
+   boost::math::jacobi_cn(i, fr);
+   boost::math::jacobi_cs(i, fr);
+   boost::math::jacobi_dc(i, fr);
+   boost::math::jacobi_dn(i, fr);
+   boost::math::jacobi_ds(i, fr);
+   boost::math::jacobi_nc(i, fr);
+   boost::math::jacobi_nd(i, fr);
+   boost::math::jacobi_ns(i, fr);
+   boost::math::jacobi_sc(i, fr);
+   boost::math::jacobi_sd(i, fr);
+   boost::math::jacobi_sn(i, fr);
+   boost::math::hypot(i, s);
+   boost::math::hypot(fr, lr);
+   boost::math::sinc_pi(i);
+   boost::math::sinhc_pi(i);
+   boost::math::asinh(s);
+   boost::math::acosh(l);
+   boost::math::atanh(l);
+   boost::math::sin_pi(s);
+   boost::math::cos_pi(s);
+   boost::math::cyl_neumann(fr, dr);
+   boost::math::cyl_neumann(i, s);
+   boost::math::cyl_bessel_j(fr, lr);
+   boost::math::cyl_bessel_j(i, s);
+   boost::math::cyl_bessel_i(fr, lr);
+   boost::math::cyl_bessel_i(i, s);
+   boost::math::cyl_bessel_k(fr, lr);
+   boost::math::cyl_bessel_k(i, s);
+   boost::math::sph_bessel(i, fr);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, lr);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(fr, dr);
+   boost::math::cyl_neumann_prime(i, s);
+   boost::math::cyl_bessel_j_prime(fr, lr);
+   boost::math::cyl_bessel_j_prime(i, s);
+   boost::math::cyl_bessel_i_prime(fr, lr);
+   boost::math::cyl_bessel_i_prime(i, s);
+   boost::math::cyl_bessel_k_prime(fr, lr);
+   boost::math::cyl_bessel_k_prime(i, s);
+   boost::math::sph_bessel_prime(i, fr);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, lr);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::owens_t(fr, dr);
+   boost::math::owens_t(i, s);
+
+   boost::math::policies::policy<> pol;
+
+
+   boost::math::tgamma(i, pol);
+   boost::math::tgamma1pm1(i, pol);
+   boost::math::lgamma(i, pol);
+   boost::math::lgamma(i, &i, pol);
+   boost::math::digamma(i, pol);
+   boost::math::trigamma(i, pol);
+   boost::math::polygamma(i, i, pol);
+   boost::math::tgamma_ratio(i, l, pol);
+   boost::math::tgamma_ratio(fr, lr, pol);
+   boost::math::tgamma_delta_ratio(i, s, pol);
+   boost::math::tgamma_delta_ratio(fr, lr, pol);
+   boost::math::rising_factorial(s, i, pol);
+   boost::math::falling_factorial(s, i, pol);
+   boost::math::tgamma(i, l, pol);
+   boost::math::tgamma(fr, lr, pol);
+   boost::math::tgamma_lower(i, s, pol);
+   boost::math::tgamma_lower(fr, lr, pol);
+   boost::math::gamma_p(i, s, pol);
+   boost::math::gamma_p(fr, lr, pol);
+   boost::math::gamma_q(i, s, pol);
+   boost::math::gamma_q(fr, lr, pol);
+   boost::math::gamma_p_inv(i, fr, pol);
+   boost::math::gamma_q_inv(s, fr, pol);
+   boost::math::gamma_p_inva(i, lr, pol);
+   boost::math::gamma_q_inva(i, lr, pol);
+   boost::math::erf(i, pol);
+   boost::math::erfc(i, pol);
+   boost::math::erf_inv(i, pol);
+   boost::math::erfc_inv(i, pol);
+   boost::math::beta(i, s, pol);
+   boost::math::beta(fr, lr, pol);
+   boost::math::beta(i, s, l, pol);
+   boost::math::beta(fr, dr, lr, pol);
+   boost::math::betac(l, i, s, pol);
+   boost::math::betac(fr, dr, lr, pol);
+   boost::math::ibeta(l, i, s, pol);
+   boost::math::ibeta(fr, dr, lr, pol);
+   boost::math::ibetac(l, i, s, pol);
+   boost::math::ibetac(fr, dr, lr, pol);
+   boost::math::ibeta_inv(l, s, i, pol);
+   boost::math::ibeta_inv(fr, dr, lr, pol);
+   boost::math::ibetac_inv(l, i, s, pol);
+   boost::math::ibetac_inv(fr, dr, lr, pol);
+   boost::math::ibeta_inva(l, i, s, pol);
+   boost::math::ibeta_inva(fr, dr, lr, pol);
+   boost::math::ibetac_inva(l, i, s, pol);
+   boost::math::ibetac_inva(fr, dr, lr, pol);
+   boost::math::ibeta_invb(l, i, s, pol);
+   boost::math::ibeta_invb(fr, dr, lr, pol);
+   boost::math::ibetac_invb(l, i, s, pol);
+   boost::math::ibetac_invb(fr, dr, lr, pol);
+   boost::math::gamma_p_derivative(i, l, pol);
+   boost::math::gamma_p_derivative(fr, lr, pol);
+   boost::math::ibeta_derivative(l, i, s, pol);
+   boost::math::ibeta_derivative(fr, dr, lr, pol);
+   boost::math::log1p(i, pol);
+   boost::math::expm1(s, pol);
+   boost::math::cbrt(l, pol);
+   boost::math::sqrt1pm1(s, pol);
+   boost::math::powm1(i, s, pol);
+   boost::math::powm1(fr, lr, pol);
+   //boost::math::legendre_p(1, i, pol);
+   boost::math::legendre_p(1, 0, s, pol);
+   boost::math::legendre_q(1, i, pol);
+   boost::math::laguerre(1, i, pol);
+   boost::math::laguerre(2, 1, i, pol);
+   boost::math::laguerre(2u, 1u, s, pol);
+   boost::math::hermite(1, s, pol);
+   boost::math::chebyshev_t(1, i, pol);
+   boost::math::chebyshev_u(1, i, pol);
+   boost::math::chebyshev_t_prime(1, i, pol);
+   boost::math::spherical_harmonic_r(2, 1, s, i, pol);
+   boost::math::spherical_harmonic_i(2, 1, fr, lr, pol);
+   boost::math::ellint_1(i, pol);
+   boost::math::ellint_1(i, s, pol);
+   boost::math::ellint_1(fr, lr, pol);
+   boost::math::ellint_2(i, pol);
+   boost::math::ellint_2(i, l, pol);
+   boost::math::ellint_2(fr, lr, pol);
+   boost::math::ellint_3(i, l, pol);
+   boost::math::ellint_3(fr, lr, pol);
+   boost::math::ellint_3(s, l, i, pol);
+   boost::math::ellint_3(fr, dr, lr, pol);
+   boost::math::ellint_d(i, pol);
+   boost::math::ellint_d(i, l, pol);
+   boost::math::ellint_d(fr, lr, pol);
+   boost::math::jacobi_zeta(i, l, pol);
+   boost::math::jacobi_zeta(fr, lr, pol);
+   boost::math::heuman_lambda(i, l, pol);
+   boost::math::heuman_lambda(fr, lr, pol);
+   boost::math::ellint_rc(i, s, pol);
+   boost::math::ellint_rc(fr, lr, pol);
+   boost::math::ellint_rd(s, i, l, pol);
+   boost::math::ellint_rd(fr, lr, dr, pol);
+   boost::math::ellint_rf(s, l, i, pol);
+   boost::math::ellint_rf(fr, dr, lr, pol);
+   boost::math::ellint_rg(s, l, i, pol);
+   boost::math::ellint_rg(fr, dr, lr, pol);
+   boost::math::ellint_rj(i, i, s, l, pol);
+   boost::math::ellint_rj(i, fr, dr, lr, pol);
+   boost::math::jacobi_cd(i, fr, pol);
+   boost::math::jacobi_cn(i, fr, pol);
+   boost::math::jacobi_cs(i, fr, pol);
+   boost::math::jacobi_dc(i, fr, pol);
+   boost::math::jacobi_dn(i, fr, pol);
+   boost::math::jacobi_ds(i, fr, pol);
+   boost::math::jacobi_nc(i, fr, pol);
+   boost::math::jacobi_nd(i, fr, pol);
+   boost::math::jacobi_ns(i, fr, pol);
+   boost::math::jacobi_sc(i, fr, pol);
+   boost::math::jacobi_sd(i, fr, pol);
+   boost::math::jacobi_sn(i, fr, pol);
+   boost::math::hypot(i, s, pol);
+   boost::math::hypot(fr, lr, pol);
+   boost::math::sinc_pi(i, pol);
+   boost::math::sinhc_pi(i, pol);
+   boost::math::asinh(s, pol);
+   boost::math::acosh(l, pol);
+   boost::math::atanh(l, pol);
+   boost::math::sin_pi(s, pol);
+   boost::math::cos_pi(s, pol);
+   boost::math::cyl_neumann(fr, dr, pol);
+   boost::math::cyl_neumann(i, s, pol);
+   boost::math::cyl_bessel_j(fr, lr, pol);
+   boost::math::cyl_bessel_j(i, s, pol);
+   boost::math::cyl_bessel_i(fr, lr, pol);
+   boost::math::cyl_bessel_i(i, s, pol);
+   boost::math::cyl_bessel_k(fr, lr, pol);
+   boost::math::cyl_bessel_k(i, s, pol);
+   boost::math::sph_bessel(i, fr, pol);
+   boost::math::sph_bessel(i, 1, pol);
+   boost::math::sph_neumann(i, lr, pol);
+   boost::math::sph_neumann(i, i, pol);
+   boost::math::cyl_neumann_prime(fr, dr, pol);
+   boost::math::cyl_neumann_prime(i, s, pol);
+   boost::math::cyl_bessel_j_prime(fr, lr, pol);
+   boost::math::cyl_bessel_j_prime(i, s, pol);
+   boost::math::cyl_bessel_i_prime(fr, lr, pol);
+   boost::math::cyl_bessel_i_prime(i, s, pol);
+   boost::math::cyl_bessel_k_prime(fr, lr, pol);
+   boost::math::cyl_bessel_k_prime(i, s, pol);
+   boost::math::sph_bessel_prime(i, fr, pol);
+   boost::math::sph_bessel_prime(i, 1, pol);
+   boost::math::sph_neumann_prime(i, lr, pol);
+   boost::math::sph_neumann_prime(i, i, pol);
+   boost::math::owens_t(fr, dr, pol);
+   boost::math::owens_t(i, s, pol);
+   boost::math::lambert_w0(i, pol);
+   boost::math::lambert_wm1(i, pol);
+   boost::math::lambert_w0_prime(i, pol);
+#endif
+#ifdef TEST_GROUP_8
+   test::tgamma(i);
+   test::tgamma1pm1(i);
+   test::lgamma(i);
+   test::lgamma(i, &i);
+   test::digamma(i);
+   test::trigamma(i);
+   test::polygamma(i, i);
+   test::tgamma_ratio(i, l);
+   test::tgamma_ratio(fr, lr);
+   test::tgamma_delta_ratio(i, s);
+   test::tgamma_delta_ratio(fr, lr);
+   test::rising_factorial(s, i);
+   test::falling_factorial(s, i);
+   test::tgamma(i, l);
+   test::tgamma(fr, lr);
+   test::tgamma_lower(i, s);
+   test::tgamma_lower(fr, lr);
+   test::gamma_p(i, s);
+   test::gamma_p(fr, lr);
+   test::gamma_q(i, s);
+   test::gamma_q(fr, lr);
+   test::gamma_p_inv(i, fr);
+   test::gamma_q_inv(s, fr);
+   test::gamma_p_inva(i, lr);
+   test::gamma_q_inva(i, lr);
+   test::erf(i);
+   test::erfc(i);
+   test::erf_inv(i);
+   test::erfc_inv(i);
+   test::beta(i, s);
+   test::beta(fr, lr);
+   test::beta(i, s, l);
+   test::beta(fr, dr, lr);
+   test::betac(l, i, s);
+   test::betac(fr, dr, lr);
+   test::ibeta(l, i, s);
+   test::ibeta(fr, dr, lr);
+   test::ibetac(l, i, s);
+   test::ibetac(fr, dr, lr);
+   test::ibeta_inv(l, s, i);
+   test::ibeta_inv(fr, dr, lr);
+   test::ibetac_inv(l, i, s);
+   test::ibetac_inv(fr, dr, lr);
+   test::ibeta_inva(l, i, s);
+   test::ibeta_inva(fr, dr, lr);
+   test::ibetac_inva(l, i, s);
+   test::ibetac_inva(fr, dr, lr);
+   test::ibeta_invb(l, i, s);
+   test::ibeta_invb(fr, dr, lr);
+   test::ibetac_invb(l, i, s);
+   test::ibetac_invb(fr, dr, lr);
+   test::gamma_p_derivative(i, l);
+   test::gamma_p_derivative(fr, lr);
+   test::ibeta_derivative(l, i, s);
+   test::ibeta_derivative(fr, dr, lr);
+   (test::fpclassify)(i);
+   (test::isfinite)(s);
+   (test::isnormal)(l);
+   (test::isnan)(i);
+   (test::isinf)(l);
+   test::log1p(i);
+   test::expm1(s);
+   test::cbrt(l);
+   test::sqrt1pm1(s);
+   test::powm1(i, s);
+   test::powm1(fr, lr);
+   //test::legendre_p(1, i);
+   test::legendre_p(1, 0, s);
+   test::legendre_q(1, i);
+   test::laguerre(1, i);
+   test::laguerre(2, 1, i);
+   test::laguerre(2u, 1u, s);
+   test::hermite(1, s);
+   test::chebyshev_t(1, i);
+   test::chebyshev_u(1, i);
+   test::chebyshev_t_prime(1, s);
+   test::spherical_harmonic_r(2, 1, s, i);
+   test::spherical_harmonic_i(2, 1, fr, lr);
+   test::ellint_1(i);
+   test::ellint_1(i, s);
+   test::ellint_1(fr, lr);
+   test::ellint_2(i);
+   test::ellint_2(i, l);
+   test::ellint_2(fr, lr);
+   test::ellint_3(i, l);
+   test::ellint_3(fr, lr);
+   test::ellint_3(s, l, i);
+   test::ellint_3(fr, dr, lr);
+   test::ellint_d(i);
+   test::ellint_d(i, l);
+   test::ellint_d(fr, lr);
+   test::jacobi_zeta(i, l);
+   test::jacobi_zeta(fr, lr);
+   test::heuman_lambda(i, l);
+   test::heuman_lambda(fr, lr);
+   test::ellint_rc(i, s);
+   test::ellint_rc(fr, lr);
+   test::ellint_rd(s, i, l);
+   test::ellint_rd(fr, lr, dr);
+   test::ellint_rf(s, l, i);
+   test::ellint_rf(fr, dr, lr);
+   test::ellint_rg(s, l, i);
+   test::ellint_rg(fr, dr, lr);
+   test::ellint_rj(i, i, s, l);
+   test::ellint_rj(i, fr, dr, lr);
+   test::hypot(i, s);
+   test::hypot(fr, lr);
+   test::sinc_pi(i);
+   test::sinhc_pi(i);
+   test::asinh(s);
+   test::acosh(l);
+   test::atanh(l);
+   test::sin_pi(s);
+   test::cos_pi(s);
+   test::cyl_neumann(fr, dr);
+   test::cyl_neumann(i, s);
+   test::cyl_bessel_j(fr, lr);
+   test::cyl_bessel_j(i, s);
+   test::cyl_bessel_i(fr, lr);
+   test::cyl_bessel_i(i, s);
+   test::cyl_bessel_k(fr, lr);
+   test::cyl_bessel_k(i, s);
+   test::sph_bessel(i, fr);
+   test::sph_bessel(i, 1);
+   test::sph_neumann(i, lr);
+   test::sph_neumann(i, i);
+   test::cyl_neumann_prime(fr, dr);
+   test::cyl_neumann_prime(i, s);
+   test::cyl_bessel_j_prime(fr, lr);
+   test::cyl_bessel_j_prime(i, s);
+   test::cyl_bessel_i_prime(fr, lr);
+   test::cyl_bessel_i_prime(i, s);
+   test::cyl_bessel_k_prime(fr, lr);
+   test::cyl_bessel_k_prime(i, s);
+   test::sph_bessel_prime(i, fr);
+   test::sph_bessel_prime(i, 1);
+   test::sph_neumann_prime(i, lr);
+   test::sph_neumann_prime(i, i);
+   test::airy_ai(i);
+   test::airy_bi(i);
+   test::airy_ai_prime(i);
+   test::airy_bi_prime(i);
+   test::owens_t(fr, dr);
+   test::owens_t(i, s);
+   boost::math::lambert_w0(i);
+   boost::math::lambert_wm1(i);
+   boost::math::lambert_w0_prime(i);
+#endif
+#endif
+}
+
+
+#endif // BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
diff --git a/src/boost/libs/math/test/compile_test/main.cpp b/src/boost/libs/math/test/compile_test/main.cpp
new file mode 100644
index 00000000..86493a96
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/main.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2009.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+extern void compile_and_link_test();
+
+int main(int argc, char* /*argv*/ [])
+{
+   if(argc > 1000)
+      compile_and_link_test(); // should never actually be called.
+   return 0;
+}
diff --git a/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp b/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp
new file mode 100644
index 00000000..963e6338
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp
@@ -0,0 +1,33 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+
+using boost::math::concepts::std_real_concept;
+using boost::math::quadrature::naive_monte_carlo;
+
+void compile_and_link_test()
+{
+   auto g = [&](std::vector<std_real_concept> const & x)
+   {
+     return 1.873;
+   };
+   std::vector<std::pair<std_real_concept, std_real_concept>> bounds{{0, 1}, {0, 1}, {0, 1}};
+   naive_monte_carlo<std_real_concept, decltype(g)> mc(g, bounds, 1.0);
+
+   auto task = mc.integrate();
+   task.get();
+}
+
+#else
+void compile_and_link_test()
+{
+}
+#endif
diff --git a/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp b/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp
new file mode 100644
index 00000000..505a1b6f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp
@@ -0,0 +1,35 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#ifdef _MSC_VER
+#pragma warning(disable:4459)
+#endif
+
+#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
+
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+#include "test_compile_result.hpp"
+
+using boost::math::quadrature::naive_monte_carlo;
+void compile_and_link_test()
+{
+    auto g = [&](std::vector<double> const & x)
+    {
+        return 1.873;
+    };
+    std::vector<std::pair<double, double>> bounds{{0, 1}, {0, 1}, {0, 1}};
+    naive_monte_carlo<double, decltype(g)> mc(g, bounds, 1.0);
+
+    auto task = mc.integrate();
+    check_result<double>(task.get());
+}
+
+#else
+void compile_and_link_test()
+{
+}
+#endif
diff --git a/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp b/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp
new file mode 100644
index 00000000..7fcb898b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/differentiation/finite_difference.hpp>
+
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept x = 0;
+   auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+   boost::math::differentiation::finite_difference_derivative(f, x);
+}
diff --git a/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp b/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp
new file mode 100644
index 00000000..7286949a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/differentiation/finite_difference.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    double x = 0;
+    check_result<double>(boost::math::differentiation::finite_difference_derivative(f, x));
+
+    auto g = [](std::complex<double> x){ return x;};
+    check_result<double>(boost::math::differentiation::complex_step_derivative(g, x));
+}
diff --git a/src/boost/libs/math/test/compile_test/poison.hpp b/src/boost/libs/math/test/compile_test/poison.hpp
new file mode 100644
index 00000000..6d72d9d2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/poison.hpp
@@ -0,0 +1,141 @@
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_COMPILE_POISON_HPP
+#define BOOST_MATH_COMPILE_POISON_HPP
+
+#include <cmath>
+#include <math.h>
+
+//
+// As per https://github.com/boostorg/math/issues/126
+// we basically need to include every std lib header we use, otherwise
+// our poisoned macros can break legit std lib code.
+//
+#include <boost/config.hpp>
+#include <valarray>
+#include <complex>
+#include <iosfwd>
+#include <sstream>
+#include <ostream>
+#include <istream>
+#include <utility>
+#include <iomanip>
+#include <typeinfo>
+#include <stdexcept>
+#include <cstddef>
+#include <string>
+#include <cstring>
+#include <cctype>
+#include <limits>
+#include <exception>
+#include <iterator>
+#include <numeric>
+#include <vector>
+#include <algorithm>
+#include <typeinfo>
+#include <memory>
+#include <cerrno>
+#include <functional>
+#ifndef BOOST_NO_CXX11_HDR_FUTURE
+#include <future>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_THREAD
+#include <thread>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_RANDOM
+#include <random>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_CHRONO
+#include <chrono>
+#endif
+#include <map>
+
+//
+// We have to include this *before* poisoning the macros
+// as it needs to be able to use them!
+//
+#include <boost/math/special_functions/fpclassify.hpp>
+
+//
+// Poison all the function-like macros in C99 so if we accidentally call them
+// in an unsafe manner, we'll get compiler errors.  Of course these shouldn't be
+// macros in C++ at all...
+//
+
+#ifdef fpclassify
+#undef fpclassify
+#endif
+
+#define fpclassify(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isfinite
+#undef isfinite
+#endif
+
+#define isfinite(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isinf
+#undef isinf
+#endif
+
+#define isinf(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isnan
+#undef isnan
+#endif
+
+#define isnan(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isnormal
+#undef isnormal
+#endif
+
+#define isnormal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef signbit
+#undef signbit
+#endif
+
+#define signbit(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isgreater
+#undef isgreater
+#endif
+
+#define isgreater(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isgreaterequal
+#undef isgreaterequal
+#endif
+
+#define isgreaterequal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isless
+#undef isless
+#endif
+
+#define isless(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef islessequal
+#undef islessequal
+#endif
+
+#define islessequal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef islessgreater
+#undef islessgreater
+#endif
+
+#define islessgreater(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isunordered
+#undef isunordered
+#endif
+
+#define isunordered(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#endif
+
diff --git a/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp
new file mode 100644
index 00000000..be3aa478
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp
@@ -0,0 +1,42 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/airy.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::airy_ai<float>(f));
+   check_result<double>(boost::math::airy_ai<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_ai<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_bi<float>(f));
+   check_result<double>(boost::math::airy_bi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_bi<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_ai_prime<float>(f));
+   check_result<double>(boost::math::airy_ai_prime<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_ai_prime<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_bi_prime<float>(f));
+   check_result<double>(boost::math::airy_bi_prime<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_bi_prime<long double>(l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp
new file mode 100644
index 00000000..49c3374f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp
@@ -0,0 +1,37 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bernoulli.hpp>
+// #includes all the files that it needs to.
+//
+#include <ostream>
+#include <boost/math/special_functions/bernoulli.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::bernoulli_b2n<float>(i));
+   check_result<double>(boost::math::bernoulli_b2n<double>(i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::bernoulli_b2n<long double>(i));
+#endif
+
+   check_result<float>(boost::math::tangent_t2n<float>(i));
+   check_result<double>(boost::math::tangent_t2n<double>(i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tangent_t2n<long double>(i));
+#endif
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr float ce_f = boost::math::unchecked_bernoulli_b2n<float>(2);
+   constexpr float ce_d = boost::math::unchecked_bernoulli_b2n<double>(2);
+   constexpr float ce_l = boost::math::unchecked_bernoulli_b2n<long double>(2);
+   std::ostream cnull(0);
+   cnull << ce_f << ce_d << ce_l << std::endl;
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp
new file mode 100644
index 00000000..070bacab
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp
@@ -0,0 +1,53 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/bessel_prime.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cyl_bessel_j_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_j_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_j_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_neumann_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_neumann_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_neumann_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_i_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_i_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_i_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_k_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_k_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_k_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::sph_bessel_prime<float>(u, f));
+   check_result<double>(boost::math::sph_bessel_prime<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_bessel_prime<long double>(u, l));
+#endif
+
+   check_result<float>(boost::math::sph_neumann_prime<float>(u, f));
+   check_result<double>(boost::math::sph_neumann_prime<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_neumann_prime<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp
new file mode 100644
index 00000000..9226ced7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp
@@ -0,0 +1,53 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/bessel.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cyl_bessel_j<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_j<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_j<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_neumann<float>(f, f));
+   check_result<double>(boost::math::cyl_neumann<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_neumann<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_i<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_i<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_i<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_k<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_k<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_k<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::sph_bessel<float>(u, f));
+   check_result<double>(boost::math::sph_bessel<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_bessel<long double>(u, l));
+#endif
+
+   check_result<float>(boost::math::sph_neumann<float>(u, f));
+   check_result<double>(boost::math::sph_neumann<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_neumann<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp
new file mode 100644
index 00000000..e20431c6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp
@@ -0,0 +1,42 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/beta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::beta<float, float>(f, f));
+   check_result<double>(boost::math::beta<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::beta<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta<float>(f, f, f));
+   check_result<double>(boost::math::ibeta<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta<long double>(l, l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta_inv<float>(f, f, f));
+   check_result<double>(boost::math::ibeta_inv<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta_inv<long double>(l, l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta_inva<float>(f, f, f));
+   check_result<double>(boost::math::ibeta_inva<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta_inva<long double>(l, l, l));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp
new file mode 100644
index 00000000..fe3ac010
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::binomial_coefficient<float>(u, u));
+   check_result<double>(boost::math::binomial_coefficient<double>(u, u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::binomial_coefficient<long double>(u, u));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp
new file mode 100644
index 00000000..ccd94bf7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/cbrt.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/cbrt.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cbrt<float>(f));
+   check_result<double>(boost::math::cbrt<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cbrt<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp
new file mode 100644
index 00000000..cc07ee4b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/cos_pi.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/cos_pi.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cos_pi<float>(f));
+   check_result<double>(boost::math::cos_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cos_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp
new file mode 100644
index 00000000..960fd493
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/digamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/digamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::digamma<float>(f));
+   check_result<double>(boost::math::digamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::digamma<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp
new file mode 100644
index 00000000..376a7f10
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_1<float>(f, f));
+   check_result<double>(boost::math::ellint_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_1<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_1<float>(f));
+   check_result<double>(boost::math::ellint_1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp
new file mode 100644
index 00000000..3eacaaa6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_2.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_2.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_2<float>(f, f));
+   check_result<double>(boost::math::ellint_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_2<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_2<float>(f));
+   check_result<double>(boost::math::ellint_2<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_2<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp
new file mode 100644
index 00000000..4d1af4ac
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_3.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_3.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_3<float>(f, f));
+   check_result<double>(boost::math::ellint_3<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_3<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_3<float>(f, f, f));
+   check_result<double>(boost::math::ellint_3<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_3<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
new file mode 100644
index 00000000..c7c4249a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_d.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_d<float>(f, f));
+   check_result<double>(boost::math::ellint_d<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_d<float>(f));
+   check_result<double>(boost::math::ellint_d<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp
new file mode 100644
index 00000000..ea7e9699
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rc<float>(f, f));
+   check_result<double>(boost::math::ellint_rc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rc<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp
new file mode 100644
index 00000000..38879eda
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rd.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rd<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rd<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rd<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp
new file mode 100644
index 00000000..ca3b00e7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rf<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rf<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rf<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
new file mode 100644
index 00000000..fed70d95
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rg.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rg<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rg<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rg<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp
new file mode 100644
index 00000000..96507eae
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rj.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rj.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rj<float>(f, f, f, f));
+   check_result<double>(boost::math::ellint_rj<double>(d, d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rj<long double>(l, l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp
new file mode 100644
index 00000000..e15d24f4
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp
@@ -0,0 +1,41 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/erf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/erf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::erf<float>(f));
+   check_result<double>(boost::math::erf<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erf<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erfc<float>(f));
+   check_result<double>(boost::math::erfc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erfc<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erf_inv<float>(f));
+   check_result<double>(boost::math::erf_inv<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erf_inv<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erfc_inv<float>(f));
+   check_result<double>(boost::math::erfc_inv<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erfc_inv<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp
new file mode 100644
index 00000000..98fc70cf
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/expint.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/expint.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::expint(f));
+   check_result<double>(boost::math::expint(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expint(l));
+#endif
+   check_result<float>(boost::math::expint(u, f));
+   check_result<double>(boost::math::expint(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expint(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp
new file mode 100644
index 00000000..4b5a353a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/expm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/expm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::expm1<float>(f));
+   check_result<double>(boost::math::expm1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expm1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp
new file mode 100644
index 00000000..70447e32
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp
@@ -0,0 +1,58 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/factorials.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/factorials.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::factorial<float>(u));
+   check_result<double>(boost::math::factorial<double>(u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::factorial<long double>(u));
+#endif
+
+   check_result<float>(boost::math::double_factorial<float>(u));
+   check_result<double>(boost::math::double_factorial<double>(u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::double_factorial<long double>(u));
+#endif
+
+   check_result<float>(boost::math::rising_factorial<float>(f, i));
+   check_result<double>(boost::math::rising_factorial<double>(d, i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::rising_factorial<long double>(l, i));
+#endif
+
+   check_result<float>(boost::math::falling_factorial<float>(f, u));
+   check_result<double>(boost::math::falling_factorial<double>(d, u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::falling_factorial<long double>(l, u));
+#endif
+
+   //
+   // Add constexpr tests here:
+   //
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr float ce_f = boost::math::unchecked_factorial<float>(2);
+   constexpr double ce_d = boost::math::unchecked_factorial<double>(2);
+   constexpr long double ce_l = boost::math::unchecked_factorial<long double>(2);
+   check_result<float>(ce_f);
+   check_result<double>(ce_d);
+   check_result<long double>(ce_l);
+#ifdef BOOST_MATH_USE_FLOAT128
+   constexpr __float128 ce_q = boost::math::unchecked_factorial<__float128>(2);
+   check_result<__float128>(ce_q);
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp
new file mode 100644
index 00000000..7fb57fce
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp
@@ -0,0 +1,43 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/fpclassify.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/fpclassify.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp
new file mode 100644
index 00000000..f7ad18e9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp
@@ -0,0 +1,83 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::tgamma<float>(f));
+   check_result<double>(boost::math::tgamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma<long double>(l));
+#endif
+
+   check_result<float>(boost::math::lgamma<float>(f));
+   check_result<double>(boost::math::lgamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::lgamma<long double>(l));
+#endif
+
+   check_result<float>(boost::math::gamma_p<float>(f, f));
+   check_result<double>(boost::math::gamma_p<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q<float>(f, f));
+   check_result<double>(boost::math::gamma_q<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_inv<float>(f, f));
+   check_result<double>(boost::math::gamma_p_inv<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_inv<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q_inv<float>(f, f));
+   check_result<double>(boost::math::gamma_q_inv<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q_inv<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_inva<float>(f, f));
+   check_result<double>(boost::math::gamma_p_inva<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_inva<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q_inva<float>(f, f));
+   check_result<double>(boost::math::gamma_q_inva<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q_inva<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_derivative<float>(f, f));
+   check_result<double>(boost::math::gamma_p_derivative<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_derivative<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::tgamma_ratio<float>(f, f));
+   check_result<double>(boost::math::tgamma_ratio<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma_ratio<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::tgamma_delta_ratio<float>(f, f));
+   check_result<double>(boost::math::tgamma_delta_ratio<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma_delta_ratio<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp
new file mode 100644
index 00000000..5a32dca2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp
@@ -0,0 +1,46 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hankel.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::cyl_hankel_1<float>(f, f));
+   check_result<std::complex<double> >(boost::math::cyl_hankel_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::cyl_hankel_1<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::cyl_hankel_2<float>(f, f));
+   check_result<std::complex<double> >(boost::math::cyl_hankel_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::cyl_hankel_2<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::sph_hankel_1<float>(f, f));
+   check_result<std::complex<double> >(boost::math::sph_hankel_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::sph_hankel_1<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::sph_hankel_2<float>(f, f));
+   check_result<std::complex<double> >(boost::math::sph_hankel_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::sph_hankel_2<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp
new file mode 100644
index 00000000..0ed4ad63
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/hermite.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hermite.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::hermite<float>(u, f));
+   check_result<double>(boost::math::hermite<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::hermite<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
new file mode 100644
index 00000000..4ed1245d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/heuman_lambda.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::heuman_lambda<float>(f, f));
+   check_result<double>(boost::math::heuman_lambda<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::heuman_lambda<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp
new file mode 100644
index 00000000..c74b7f0f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/hypot.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hypot.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::hypot<float>(f, f));
+   check_result<double>(boost::math::hypot<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::hypot<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp
new file mode 100644
index 00000000..a1fc66b0
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp
@@ -0,0 +1,96 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::jacobi_elliptic<float>(f, f, static_cast<float*>(0), static_cast<float*>(0)));
+   check_result<double>(boost::math::jacobi_elliptic<double>(d, d, static_cast<double*>(0), static_cast<double*>(0)));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_elliptic<long double>(l, l, static_cast<long double*>(0), static_cast<long double*>(0)));
+#endif
+
+   check_result<float>(boost::math::jacobi_sn<float>(f, f));
+   check_result<double>(boost::math::jacobi_sn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cn<float>(f, f));
+   check_result<double>(boost::math::jacobi_cn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_dn<float>(f, f));
+   check_result<double>(boost::math::jacobi_dn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_dn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cd<float>(f, f));
+   check_result<double>(boost::math::jacobi_cd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_dc<float>(f, f));
+   check_result<double>(boost::math::jacobi_dc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_dc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_ns<float>(f, f));
+   check_result<double>(boost::math::jacobi_ns<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_ns<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_sd<float>(f, f));
+   check_result<double>(boost::math::jacobi_sd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_ds<float>(f, f));
+   check_result<double>(boost::math::jacobi_ds<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_ds<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_nc<float>(f, f));
+   check_result<double>(boost::math::jacobi_nc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_nc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_nd<float>(f, f));
+   check_result<double>(boost::math::jacobi_nd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_nd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_sc<float>(f, f));
+   check_result<double>(boost::math::jacobi_sc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cs<float>(f, f));
+   check_result<double>(boost::math::jacobi_cs<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cs<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
new file mode 100644
index 00000000..78dcd288
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::jacobi_zeta<float>(f, f));
+   check_result<double>(boost::math::jacobi_zeta<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_zeta<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp
new file mode 100644
index 00000000..6b44e479
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp
@@ -0,0 +1,32 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/laguerre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/laguerre.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::laguerre<float>(u, f));
+   check_result<double>(boost::math::laguerre<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::laguerre<long double>(u, l));
+#endif
+
+   typedef boost::math::policies::policy<> def_pol;
+   def_pol p;
+
+   check_result<float>(boost::math::laguerre<float, def_pol>(u, u, f, p));
+   check_result<double>(boost::math::laguerre<double, def_pol>(u, u, d, p));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::laguerre<long double, def_pol>(u, u, l, p));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp
new file mode 100644
index 00000000..ef54883b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/lanczos.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/lanczos.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp
new file mode 100644
index 00000000..725868bc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/legendre.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::legendre_p<float>(i, f));
+   check_result<double>(boost::math::legendre_p<double>(i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p<long double>(i, l));
+#endif
+   check_result<float>(boost::math::legendre_p_prime<float>(i, f));
+   check_result<double>(boost::math::legendre_p_prime<double>(i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p_prime<long double>(i, l));
+#endif
+
+   check_result<float>(boost::math::legendre_p<float>(i, i, f));
+   check_result<double>(boost::math::legendre_p<double>(i, i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p<long double>(i, i, l));
+#endif
+
+   check_result<float>(boost::math::legendre_q<float>(u, f));
+   check_result<double>(boost::math::legendre_q<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_q<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp
new file mode 100644
index 00000000..e66a8371
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+
+template class boost::math::legendre_stieltjes<boost::math::concepts::std_real_concept>;
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp
new file mode 100644
index 00000000..dd2e24d9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   boost::math::legendre_stieltjes<float> lsf(3);
+   boost::math::legendre_stieltjes<double> lsd(3);
+   check_result<float>(lsf(f));
+   check_result<double>(lsd(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   boost::math::legendre_stieltjes<long double> lsl(3);
+   check_result<long double>(lsl(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp
new file mode 100644
index 00000000..3302a59d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/log1p.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/log1p.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::log1p<float>(f));
+   check_result<double>(boost::math::log1p<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::log1p<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp
new file mode 100644
index 00000000..6e790977
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/math_fwd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/math_fwd.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp
new file mode 100644
index 00000000..0df0741d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp
@@ -0,0 +1,50 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/modf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/modf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+float ff;
+double dd;
+long double lldd;
+
+int ii;
+long ll;
+#ifdef BOOST_HAS_LONG_LONG
+boost::long_long_type llll;
+#endif
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::modf(f, &ff));
+   check_result<double>(boost::math::modf(d, &dd));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &lldd));
+#endif
+   check_result<float>(boost::math::modf(f, &ii));
+   check_result<double>(boost::math::modf(d, &ii));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &ii));
+#endif
+   check_result<float>(boost::math::modf(f, &ll));
+   check_result<double>(boost::math::modf(d, &ll));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &ll));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<float>(boost::math::modf(f, &llll));
+   check_result<double>(boost::math::modf(d, &llll));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &llll));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp
new file mode 100644
index 00000000..371a661d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp
@@ -0,0 +1,48 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/next.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::nextafter<float>(f, f));
+   check_result<double>(boost::math::nextafter<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::nextafter<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::float_next<float>(f));
+   check_result<double>(boost::math::float_next<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_next<long double>(l));
+#endif
+
+   check_result<float>(boost::math::float_prior<float>(f));
+   check_result<double>(boost::math::float_prior<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_prior<long double>(l));
+#endif
+
+   check_result<float>(boost::math::float_distance<float>(f, f));
+   check_result<double>(boost::math::float_distance<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_distance<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::float_advance<float>(f, 2));
+   check_result<double>(boost::math::float_advance<double>(d, 2));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_advance<long double>(l, 2));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp
new file mode 100644
index 00000000..2839a077
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/owens_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::owens_t<float>(f, f));
+   check_result<double>(boost::math::owens_t<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::owens_t<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
new file mode 100644
index 00000000..88364499
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/digamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/polygamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::trigamma<float>(f));
+   check_result<double>(boost::math::trigamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::trigamma<long double>(l));
+#endif
+   check_result<float>(boost::math::polygamma<float>(1, f));
+   check_result<double>(boost::math::polygamma<double>(1, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::polygamma<long double>(1, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp
new file mode 100644
index 00000000..04cabb0a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/powm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/powm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::powm1<float>(f, f));
+   check_result<double>(boost::math::powm1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::powm1<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp
new file mode 100644
index 00000000..6ab75847
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/factorials.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/prime.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<boost::uint32_t>(boost::math::prime(u));
+   //
+   // Add constexpr tests here:
+   //
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr boost::uint32_t ce_f = boost::math::prime(boost::math::max_prime);
+   static_assert(ce_f == 104729, "max_prime had incorrect value");
+   check_result<boost::uint32_t>(ce_f);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp
new file mode 100644
index 00000000..6b6ae292
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/relative_difference.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::relative_difference<float>(f, f));
+   check_result<double>(boost::math::relative_difference<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::relative_difference<long double>(l, l));
+#endif
+   check_result<float>(boost::math::epsilon_difference<float>(f, f));
+   check_result<double>(boost::math::epsilon_difference<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::epsilon_difference<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp
new file mode 100644
index 00000000..6deb71b3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/round.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/round.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::round<float>(f));
+   check_result<double>(boost::math::round<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::round<long double>(l));
+#endif
+   check_result<int>(boost::math::iround<float>(f));
+   check_result<int>(boost::math::iround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::iround<long double>(l));
+#endif
+   check_result<long>(boost::math::lround<float>(f));
+   check_result<long>(boost::math::lround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long>(boost::math::lround<long double>(l));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<boost::long_long_type>(boost::math::llround<float>(f));
+   check_result<boost::long_long_type>(boost::math::llround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<boost::long_long_type>(boost::math::llround<long double>(l));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp
new file mode 100644
index 00000000..f4e8dd2f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sign.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sign.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<int>(boost::math::sign<float>(f));
+   check_result<int>(boost::math::sign<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::sign<long double>(l));
+#endif
+
+   check_result<int>(boost::math::signbit<float>(f));
+   check_result<int>(boost::math::signbit<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::signbit<long double>(l));
+#endif
+
+   check_result<float>(boost::math::copysign<float>(f, f));
+   check_result<double>(boost::math::copysign<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::copysign<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp
new file mode 100644
index 00000000..a5bd100d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sin_pi.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sin_pi.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sin_pi<float>(f));
+   check_result<double>(boost::math::sin_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sin_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp
new file mode 100644
index 00000000..1c529dfc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sinc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sinc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sinc_pi<float>(f));
+   check_result<double>(boost::math::sinc_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sinc_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp
new file mode 100644
index 00000000..22a448d5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sinhc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sinhc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sinhc_pi<float>(f));
+   check_result<double>(boost::math::sinhc_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sinhc_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp
new file mode 100644
index 00000000..ed7de85e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp
@@ -0,0 +1,43 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/spherical_harmonic.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::spherical_harmonic<float>(u, i, f, f));
+   check_result<std::complex<double> >(boost::math::spherical_harmonic<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::spherical_harmonic<long double>(u, i, l, l));
+#endif
+
+   check_result<float>(boost::math::spherical_harmonic_r<float>(u, i, f, f));
+   check_result<double>(boost::math::spherical_harmonic_r<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::spherical_harmonic_r<long double>(u, i, l, l));
+#endif
+
+   check_result<float>(boost::math::spherical_harmonic_i<float>(u, i, f, f));
+   check_result<double>(boost::math::spherical_harmonic_i<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::spherical_harmonic_i<long double>(u, i, l, l));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp
new file mode 100644
index 00000000..38dfb574
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sqrt1pm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sqrt1pm1<float>(f));
+   check_result<double>(boost::math::sqrt1pm1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sqrt1pm1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp
new file mode 100644
index 00000000..33b9ee34
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/trunc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/trunc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::trunc<float>(f));
+   check_result<double>(boost::math::trunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::trunc<long double>(l));
+#endif
+   check_result<int>(boost::math::itrunc<float>(f));
+   check_result<int>(boost::math::itrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::itrunc<long double>(l));
+#endif
+   check_result<long>(boost::math::ltrunc<float>(f));
+   check_result<long>(boost::math::ltrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long>(boost::math::ltrunc<long double>(l));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<boost::long_long_type>(boost::math::lltrunc<float>(f));
+   check_result<boost::long_long_type>(boost::math::lltrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<boost::long_long_type>(boost::math::lltrunc<long double>(l));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp
new file mode 100644
index 00000000..ce70276d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ulp.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ulp<float>(f));
+   check_result<double>(boost::math::ulp<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ulp<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp
new file mode 100644
index 00000000..fa582b57
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/zeta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/zeta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::zeta(f));
+   check_result<double>(boost::math::zeta(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::zeta(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp
new file mode 100644
index 00000000..2b204dc3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/sinh_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::sinh_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f);
+}
diff --git a/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp
new file mode 100644
index 00000000..ed6f05e1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/sinh_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return 1/(1+x*x); };
+    boost::math::quadrature::sinh_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f));
+}
diff --git a/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp b/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp
new file mode 100644
index 00000000..20638e37
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp
@@ -0,0 +1,207 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include "poison.hpp"
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+//
+// The purpose of this test is to verify that our code compiles
+// cleanly with a type whose std lib functions are in namespace
+// std and can *not* be found by ADL.  This verifies that we're
+// not finding std lib functions that are in the global namespace
+// for example calling ::pow(double) rather than std::pow(long double).
+// This is a silent error that does the wrong thing at runtime, and
+// of course we can't call std::pow() directly because we want
+// the functions to be found by ADL when that's appropriate.
+//
+// Furthermore our code does different things internally depending
+// on numeric_limits<>::digits, so there are some macros that can
+// be defined that cause our concept-archetype to emulate various
+// floating point types:
+//
+// EMULATE32: 32-bit float
+// EMULATE64: 64-bit double
+// EMULATE80: 80-bit long double
+// EMULATE128: 128-bit long double
+//
+// In order to ensure total code coverage this file must be
+// compiled with each of the above macros in turn, and then 
+// without any of the above as well!
+//
+
+#define NULL_MACRO /**/
+#ifdef EMULATE32
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 24;
+   static const int digits10 = 6;
+   static const int max_digits10 = 9;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -125;
+   static const int min_exponent10 = -37;
+   static const int max_exponent = 128;
+   static const int max_exponent10 = 38;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE64
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 53;
+   static const int digits10 = 15;
+   static const int max_digits10 = 17;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -1021;
+   static const int min_exponent10 = -307;
+   static const int max_exponent = 1024;
+   static const int max_exponent10 = 308;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE80
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 64;
+   static const int digits10 = 18;
+   static const int max_digits10 = 22;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE128
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 113;
+   static const int digits10 = 33;
+   static const int max_digits10 = 37;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+
+
+
+int main(int argc, char*[])
+{
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(argc > 1000)
+      instantiate(boost::math::concepts::std_real_concept(0));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp
new file mode 100644
index 00000000..239d1fb1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/tanh_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::tanh_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp
new file mode 100644
index 00000000..ef5fff79
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/tanh_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    double a = 0;
+    double b = 1;
+    boost::math::quadrature::tanh_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f, a, b));
+}
diff --git a/src/boost/libs/math/test/compile_test/test_compile_result.hpp b/src/boost/libs/math/test/compile_test/test_compile_result.hpp
new file mode 100644
index 00000000..0bb419f2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/test_compile_result.hpp
@@ -0,0 +1,183 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// Note this header must NOT include any other headers, for its
+// use to be meaningful (because we use it in tests designed to
+// detect missing includes).
+//
+
+static const float f = 0;
+static const double d = 0;
+static const long double l = 0;
+static const unsigned u = 0;
+static const int i = 0;
+
+//template <class T>
+//inline void check_result_imp(T, T){}
+
+inline void check_result_imp(float, float){}
+inline void check_result_imp(double, double){}
+inline void check_result_imp(long double, long double){}
+inline void check_result_imp(int, int){}
+inline void check_result_imp(long, long){}
+#ifdef BOOST_HAS_LONG_LONG
+inline void check_result_imp(boost::long_long_type, boost::long_long_type){}
+#endif
+inline void check_result_imp(bool, bool){}
+
+//
+// If the compiler warns about unused typedefs then enable this:
+//
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 7)))
+#  define BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE __attribute__((unused))
+#else
+#  define BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE
+#endif
+
+template <class T, class U>
+struct local_is_same 
+{ 
+   enum{ value = false }; 
+};
+template <class T>
+struct local_is_same<T, T> 
+{ 
+   enum{ value = true }; 
+};
+
+template <class T1, class T2>
+inline void check_result_imp(T1, T2)
+{
+   // This is a static assertion that should always fail to compile...
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 8)))
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wunused-local-typedefs"
+#endif
+   typedef BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE int static_assertion[local_is_same<T1, T2>::value ? 1 : 0];
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 8)))
+#pragma GCC diagnostic pop
+#endif
+}
+
+template <class T1, class T2>
+inline void check_result(T2)
+{
+   T1 a = T1();
+   T2 b = T2();
+   return check_result_imp(a, b);
+}
+
+union max_align_type
+{
+   char c;
+   short s;
+   int i;
+   long l;
+   double d;
+   long double ld;
+#ifdef BOOST_HAS_LONG_LONG
+   long long ll;
+#endif
+};
+
+template <class Distribution>
+struct DistributionConcept
+{
+   static void constraints()
+   {
+      typedef typename Distribution::value_type value_type;
+
+      const Distribution& dist = DistributionConcept<Distribution>::get_object();
+
+      value_type x = 0;
+       // The result values are ignored in all these checks.
+      check_result<value_type>(cdf(dist, x));
+      check_result<value_type>(cdf(complement(dist, x)));
+      check_result<value_type>(pdf(dist, x));
+      check_result<value_type>(quantile(dist, x));
+      check_result<value_type>(quantile(complement(dist, x)));
+      check_result<value_type>(mean(dist));
+      check_result<value_type>(mode(dist));
+      check_result<value_type>(standard_deviation(dist));
+      check_result<value_type>(variance(dist));
+      check_result<value_type>(hazard(dist, x));
+      check_result<value_type>(chf(dist, x));
+      check_result<value_type>(coefficient_of_variation(dist));
+      check_result<value_type>(skewness(dist));
+      check_result<value_type>(kurtosis(dist));
+      check_result<value_type>(kurtosis_excess(dist));
+      check_result<value_type>(median(dist));
+      //
+      // we can't actually test that at std::pair is returned from these
+      // because that would mean including some std lib headers....
+      //
+      range(dist);
+      support(dist);
+
+      check_result<value_type>(cdf(dist, f));
+      check_result<value_type>(cdf(complement(dist, f)));
+      check_result<value_type>(pdf(dist, f));
+      check_result<value_type>(quantile(dist, f));
+      check_result<value_type>(quantile(complement(dist, f)));
+      check_result<value_type>(hazard(dist, f));
+      check_result<value_type>(chf(dist, f));
+      check_result<value_type>(cdf(dist, d));
+      check_result<value_type>(cdf(complement(dist, d)));
+      check_result<value_type>(pdf(dist, d));
+      check_result<value_type>(quantile(dist, d));
+      check_result<value_type>(quantile(complement(dist, d)));
+      check_result<value_type>(hazard(dist, d));
+      check_result<value_type>(chf(dist, d));
+      check_result<value_type>(cdf(dist, l));
+      check_result<value_type>(cdf(complement(dist, l)));
+      check_result<value_type>(pdf(dist, l));
+      check_result<value_type>(quantile(dist, l));
+      check_result<value_type>(quantile(complement(dist, l)));
+      check_result<value_type>(hazard(dist, l));
+      check_result<value_type>(chf(dist, l));
+      check_result<value_type>(cdf(dist, i));
+      check_result<value_type>(cdf(complement(dist, i)));
+      check_result<value_type>(pdf(dist, i));
+      check_result<value_type>(quantile(dist, i));
+      check_result<value_type>(quantile(complement(dist, i)));
+      check_result<value_type>(hazard(dist, i));
+      check_result<value_type>(chf(dist, i));
+      unsigned long li = 1;
+      check_result<value_type>(cdf(dist, li));
+      check_result<value_type>(cdf(complement(dist, li)));
+      check_result<value_type>(pdf(dist, li));
+      check_result<value_type>(quantile(dist, li));
+      check_result<value_type>(quantile(complement(dist, li)));
+      check_result<value_type>(hazard(dist, li));
+      check_result<value_type>(chf(dist, li));
+   }
+private:
+   static void* storage()
+   {
+      static max_align_type storage[sizeof(Distribution)];
+      return storage;
+   }
+   static Distribution* get_object_p()
+   {
+      return static_cast<Distribution*>(storage());
+   }
+   static Distribution& get_object()
+   {
+      // will never get called:
+      return *get_object_p();
+   }
+}; // struct DistributionConcept
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#define TEST_DIST_FUNC(dist)\
+   DistributionConcept< boost::math::dist##_distribution<float> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<double> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<long double> >::constraints();
+#else
+#define TEST_DIST_FUNC(dist)\
+   DistributionConcept< boost::math::dist##_distribution<float> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<double> >::constraints();
+#endif
diff --git a/src/boost/libs/math/test/compile_test/test_traits.cpp b/src/boost/libs/math/test/compile_test/test_traits.cpp
new file mode 100644
index 00000000..6af0ef36
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/test_traits.cpp
@@ -0,0 +1,56 @@
+//  Copyright John Maddock 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/traits.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/math/distributions.hpp>
+
+using namespace boost::math;
+
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<double>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<int>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<bernoulli>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<beta_distribution<> >::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<binomial>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<cauchy>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<chi_squared>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<exponential>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<extreme_value>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<fisher_f>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<gamma_distribution<> >::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<lognormal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<negative_binomial>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<normal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<pareto>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<poisson>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<rayleigh>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<students_t>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<triangular>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<uniform>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<weibull>::value);
+
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<double>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<int>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<bernoulli>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<beta_distribution<> >::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<binomial>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<cauchy>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<chi_squared>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<exponential>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<extreme_value>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<fisher_f>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<gamma_distribution<> >::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<lognormal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<negative_binomial>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<normal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<pareto>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<poisson>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<rayleigh>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<students_t>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<triangular>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<uniform>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<weibull>::value == false);
+
diff --git a/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp
new file mode 100644
index 00000000..d9f76594
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/config.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/config.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp
new file mode 100644
index 00000000..e185137e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/fraction.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/fraction.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp
new file mode 100644
index 00000000..367d7b63
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/minima.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/minima.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp
new file mode 100644
index 00000000..111d5be5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/polynomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/polynomial.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp
new file mode 100644
index 00000000..84c59ef9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/precision.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/precision.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp
new file mode 100644
index 00000000..46b5de44
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/rational.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/rational.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp
new file mode 100644
index 00000000..e46bdc94
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/real_cast.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/real_cast.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp
new file mode 100644
index 00000000..121b0b4d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/remez.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/remez.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp
new file mode 100644
index 00000000..61527c7c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/roots.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/tools/tuple.hpp>
+#include <utility> // for std::pair, our headers don't know what tuple type is to be used, we have to supply it.
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(std::pair<float, float>, std::pair<float, float>){}
+inline void check_result_imp(std::pair<double, double>, std::pair<double, double>){}
+inline void check_result_imp(std::pair<long double, long double>, std::pair<long double, long double>){}
+
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   typedef double (*F)(double);
+   typedef std::pair<double, double> (*F2)(double);
+   typedef boost::math::tuple<double, double, double> (*F3)(double);
+   typedef boost::math::tools::eps_tolerance<double> Tol;
+   Tol tol(u);
+   boost::uintmax_t max_iter = 0;
+   F f = 0;
+   F2 f2 = 0;
+   F3 f3 = 0;
+
+   check_result<std::pair<double, double> >(boost::math::tools::bisect<F, double, Tol>(f, d, d, tol, max_iter));
+   check_result<std::pair<double, double> >(boost::math::tools::bisect<F, double, Tol>(f, d, d, tol));
+   check_result<double>(boost::math::tools::newton_raphson_iterate<F2, double>(f2, d, d, d, i, max_iter));
+   check_result<double>(boost::math::tools::halley_iterate<F3, double>(f3, d, d, d, i, max_iter));
+   check_result<double>(boost::math::tools::schroder_iterate<F3, double>(f3, d, d, d, i, max_iter));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp
new file mode 100644
index 00000000..f8558443
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/series.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/series.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+struct Functor
+{
+   typedef double result_type;
+   double operator()();
+};
+#define U double
+
+Functor func;
+boost::uintmax_t uim = 0;
+
+void compile_and_link_test()
+{
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor>(func, i));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor>(func, i, uim));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor, U>(func, i, d));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor, U>(func, i, uim, d));
+   check_result<Functor::result_type>(boost::math::tools::kahan_sum_series<Functor>(func, i));
+   check_result<Functor::result_type>(boost::math::tools::kahan_sum_series<Functor>(func, i, uim));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp
new file mode 100644
index 00000000..a0dcd0d3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/solve.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/solve.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp
new file mode 100644
index 00000000..6d5898b4
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp
@@ -0,0 +1,11 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/stats.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/stats.hpp>
+
+template class boost::math::tools::stats<double>;
diff --git a/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp
new file mode 100644
index 00000000..d2daa5e9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/test_data.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/test_data.hpp>
+
+#define T double
+
+template boost::math::tools::parameter_info<T> boost::math::tools::make_random_param<T>(T start_range, T end_range, int n_points);
+template boost::math::tools::parameter_info<T> boost::math::tools::make_periodic_param<T>(T start_range, T end_range, int n_points);
+template boost::math::tools::parameter_info<T> boost::math::tools::make_power_param<T>(T basis, int start_exponent, int end_exponent);
+
+template class boost::math::tools::test_data<T>;
+
+template bool boost::math::tools::get_user_parameter_info<T>(boost::math::tools::parameter_info<T>& info, const char* param_name);
+
+
diff --git a/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp
new file mode 100644
index 00000000..8cc73377
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp
@@ -0,0 +1,36 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/test.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/test.hpp>
+#include <boost/array.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(boost::math::tools::test_result<double>, boost::math::tools::test_result<double>){}
+
+#include "test_compile_result.hpp"
+
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::tools::relative_error<float>(f, f));
+
+   #define A boost::array<boost::array<double, 2>, 2>
+   typedef double (*F1)(const boost::array<double, 2>&);
+   typedef F1 F2;
+   A a;
+   F1 f1 = 0;
+   F2 f2 = 0;
+
+   check_result<boost::math::tools::test_result<
+      boost::math::tools::calculate_result_type<A>::value_type> >
+      (boost::math::tools::test<A, F1, F2>(a, f1, f2));
+
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp
new file mode 100644
index 00000000..3c321006
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp
@@ -0,0 +1,18 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/toms748_solve.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/toms748_solve.hpp>
+
+#define T double
+#define Tol boost::math::tools::eps_tolerance<double>
+
+typedef T (*F)(T);
+
+template std::pair<T, T> boost::math::tools::toms748_solve<F, T, Tol >(F, const T&, const T&, const T&, const T&, Tol, boost::uintmax_t&);
+template std::pair<T, T> boost::math::tools::toms748_solve<F, T, Tol>(F f, const T& ax, const T& bx, Tol tol, boost::uintmax_t& max_iter);
+template std::pair<T, T> boost::math::tools::bracket_and_solve_root<F, T, Tol>(F f, const T& guess, const T& factor, bool rising, Tol tol, boost::uintmax_t& max_iter);
diff --git a/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp
new file mode 100644
index 00000000..39910e9b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/config.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/tuple.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp b/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp
new file mode 100644
index 00000000..43baafbe
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp
@@ -0,0 +1,366 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tr1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tr1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   unsigned ui = 0;
+
+   check_result<float>(boost::math::tr1::assoc_laguerre(ui, ui, f));
+   check_result<float>(boost::math::tr1::assoc_laguerref(ui, ui, f));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::assoc_laguerre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::assoc_laguerrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, i));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::assoc_legendre(ui, ui, f));
+   check_result<float>(boost::math::tr1::assoc_legendref(ui, ui, f));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::assoc_legendre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::assoc_legendrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, i));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::beta(f, f));
+   check_result<float>(boost::math::tr1::betaf(f, f));
+   check_result<double>(boost::math::tr1::beta(d, d));
+   check_result<long double>(boost::math::tr1::beta(l, l));
+   check_result<long double>(boost::math::tr1::betal(l, l));
+   check_result<double>(boost::math::tr1::beta(ui, ui));
+   check_result<double>(boost::math::tr1::beta(i, ui));
+   check_result<double>(boost::math::tr1::beta(f, d));
+   check_result<long double>(boost::math::tr1::beta(l, d));
+
+   check_result<float>(boost::math::tr1::comp_ellint_1(f));
+   check_result<float>(boost::math::tr1::comp_ellint_1f(f));
+   check_result<double>(boost::math::tr1::comp_ellint_1(d));
+   check_result<long double>(boost::math::tr1::comp_ellint_1(l));
+   check_result<long double>(boost::math::tr1::comp_ellint_1l(l));
+   check_result<double>(boost::math::tr1::comp_ellint_1(ui));
+   check_result<double>(boost::math::tr1::comp_ellint_1(i));
+
+   check_result<float>(boost::math::tr1::comp_ellint_2(f));
+   check_result<float>(boost::math::tr1::comp_ellint_2f(f));
+   check_result<double>(boost::math::tr1::comp_ellint_2(d));
+   check_result<long double>(boost::math::tr1::comp_ellint_2(l));
+   check_result<long double>(boost::math::tr1::comp_ellint_2l(l));
+   check_result<double>(boost::math::tr1::comp_ellint_2(ui));
+   check_result<double>(boost::math::tr1::comp_ellint_2(i));
+
+   check_result<float>(boost::math::tr1::comp_ellint_3(f, f));
+   check_result<float>(boost::math::tr1::comp_ellint_3f(f, f));
+   check_result<double>(boost::math::tr1::comp_ellint_3(d, d));
+   check_result<long double>(boost::math::tr1::comp_ellint_3(l, l));
+   check_result<long double>(boost::math::tr1::comp_ellint_3l(l, l));
+   check_result<double>(boost::math::tr1::comp_ellint_3(ui, ui));
+   check_result<double>(boost::math::tr1::comp_ellint_3(i, ui));
+   check_result<double>(boost::math::tr1::comp_ellint_3(f, d));
+   check_result<long double>(boost::math::tr1::comp_ellint_3(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_i(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_if(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_i(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_il(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_i(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_j(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_jf(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_j(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_jl(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_j(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_k(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_kf(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_k(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_kl(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_k(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_neumann(f, f));
+   check_result<float>(boost::math::tr1::cyl_neumannf(f, f));
+   check_result<double>(boost::math::tr1::cyl_neumann(d, d));
+   check_result<long double>(boost::math::tr1::cyl_neumann(l, l));
+   check_result<long double>(boost::math::tr1::cyl_neumannl(l, l));
+   check_result<double>(boost::math::tr1::cyl_neumann(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_neumann(i, ui));
+   check_result<double>(boost::math::tr1::cyl_neumann(f, d));
+   check_result<long double>(boost::math::tr1::cyl_neumann(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_1(f, f));
+   check_result<float>(boost::math::tr1::ellint_1f(f, f));
+   check_result<double>(boost::math::tr1::ellint_1(d, d));
+   check_result<long double>(boost::math::tr1::ellint_1(l, l));
+   check_result<long double>(boost::math::tr1::ellint_1l(l, l));
+   check_result<double>(boost::math::tr1::ellint_1(ui, ui));
+   check_result<double>(boost::math::tr1::ellint_1(i, ui));
+   check_result<double>(boost::math::tr1::ellint_1(f, d));
+   check_result<long double>(boost::math::tr1::ellint_1(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_2(f, f));
+   check_result<float>(boost::math::tr1::ellint_2f(f, f));
+   check_result<double>(boost::math::tr1::ellint_2(d, d));
+   check_result<long double>(boost::math::tr1::ellint_2(l, l));
+   check_result<long double>(boost::math::tr1::ellint_2l(l, l));
+   check_result<double>(boost::math::tr1::ellint_2(ui, ui));
+   check_result<double>(boost::math::tr1::ellint_2(i, ui));
+   check_result<double>(boost::math::tr1::ellint_2(f, d));
+   check_result<long double>(boost::math::tr1::ellint_2(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_3(f, f, f));
+   check_result<float>(boost::math::tr1::ellint_3f(f, f, f));
+   check_result<double>(boost::math::tr1::ellint_3(d, d, d));
+   check_result<long double>(boost::math::tr1::ellint_3(l, l, l));
+   check_result<long double>(boost::math::tr1::ellint_3l(l, l, l));
+   check_result<double>(boost::math::tr1::ellint_3(ui, ui, i));
+   check_result<double>(boost::math::tr1::ellint_3(i, ui, f));
+   check_result<double>(boost::math::tr1::ellint_3(f, d, i));
+   check_result<long double>(boost::math::tr1::ellint_3(l, d, f));
+
+   check_result<float>(boost::math::tr1::expint(f));
+   check_result<float>(boost::math::tr1::expintf(f));
+   check_result<double>(boost::math::tr1::expint(d));
+   check_result<long double>(boost::math::tr1::expint(l));
+   check_result<long double>(boost::math::tr1::expintl(l));
+   check_result<double>(boost::math::tr1::expint(ui));
+   check_result<double>(boost::math::tr1::expint(i));
+
+   check_result<float>(boost::math::tr1::hermite(ui, f));
+   check_result<float>(boost::math::tr1::hermitef(ui, f));
+   check_result<double>(boost::math::tr1::hermite(ui, d));
+   check_result<long double>(boost::math::tr1::hermite(ui, l));
+   check_result<long double>(boost::math::tr1::hermitel(ui, l));
+   check_result<double>(boost::math::tr1::hermite(ui, i));
+   check_result<double>(boost::math::tr1::hermite(ui, ui));
+
+   check_result<float>(boost::math::tr1::laguerre(ui, f));
+   check_result<float>(boost::math::tr1::laguerref(ui, f));
+   check_result<double>(boost::math::tr1::laguerre(ui, d));
+   check_result<long double>(boost::math::tr1::laguerre(ui, l));
+   check_result<long double>(boost::math::tr1::laguerrel(ui, l));
+   check_result<double>(boost::math::tr1::laguerre(ui, i));
+   check_result<double>(boost::math::tr1::laguerre(ui, ui));
+
+   check_result<float>(boost::math::tr1::legendre(ui, f));
+   check_result<float>(boost::math::tr1::legendref(ui, f));
+   check_result<double>(boost::math::tr1::legendre(ui, d));
+   check_result<long double>(boost::math::tr1::legendre(ui, l));
+   check_result<long double>(boost::math::tr1::legendrel(ui, l));
+   check_result<double>(boost::math::tr1::legendre(ui, i));
+   check_result<double>(boost::math::tr1::legendre(ui, ui));
+
+   check_result<float>(boost::math::tr1::riemann_zeta(f));
+   check_result<float>(boost::math::tr1::riemann_zetaf(f));
+   check_result<double>(boost::math::tr1::riemann_zeta(d));
+   check_result<long double>(boost::math::tr1::riemann_zeta(l));
+   check_result<long double>(boost::math::tr1::riemann_zetal(l));
+   check_result<double>(boost::math::tr1::riemann_zeta(ui));
+   check_result<double>(boost::math::tr1::riemann_zeta(i));
+
+   check_result<float>(boost::math::tr1::sph_bessel(ui, f));
+   check_result<float>(boost::math::tr1::sph_besself(ui, f));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, d));
+   check_result<long double>(boost::math::tr1::sph_bessel(ui, l));
+   check_result<long double>(boost::math::tr1::sph_bessell(ui, l));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, i));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, ui));
+
+   check_result<float>(boost::math::tr1::sph_legendre(ui, ui, f));
+   check_result<float>(boost::math::tr1::sph_legendref(ui, ui, f));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::sph_legendre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::sph_legendrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, i));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::sph_neumann(ui, f));
+   check_result<float>(boost::math::tr1::sph_neumannf(ui, f));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, d));
+   check_result<long double>(boost::math::tr1::sph_neumann(ui, l));
+   check_result<long double>(boost::math::tr1::sph_neumannl(ui, l));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, i));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, ui));
+
+   check_result<float>(boost::math::tr1::acosh(f));
+   check_result<float>(boost::math::tr1::acoshf(f));
+   check_result<double>(boost::math::tr1::acosh(d));
+   check_result<long double>(boost::math::tr1::acosh(l));
+   check_result<long double>(boost::math::tr1::acoshl(l));
+   check_result<double>(boost::math::tr1::acosh(ui));
+   check_result<double>(boost::math::tr1::acosh(i));
+
+   check_result<float>(boost::math::tr1::asinh(f));
+   check_result<float>(boost::math::tr1::asinhf(f));
+   check_result<double>(boost::math::tr1::asinh(d));
+   check_result<long double>(boost::math::tr1::asinh(l));
+   check_result<long double>(boost::math::tr1::asinhl(l));
+   check_result<double>(boost::math::tr1::asinh(ui));
+   check_result<double>(boost::math::tr1::asinh(i));
+
+   check_result<float>(boost::math::tr1::atanh(f));
+   check_result<float>(boost::math::tr1::atanhf(f));
+   check_result<double>(boost::math::tr1::atanh(d));
+   check_result<long double>(boost::math::tr1::atanh(l));
+   check_result<long double>(boost::math::tr1::atanhl(l));
+   check_result<double>(boost::math::tr1::atanh(ui));
+   check_result<double>(boost::math::tr1::atanh(i));
+
+   check_result<float>(boost::math::tr1::cbrt(f));
+   check_result<float>(boost::math::tr1::cbrtf(f));
+   check_result<double>(boost::math::tr1::cbrt(d));
+   check_result<long double>(boost::math::tr1::cbrt(l));
+   check_result<long double>(boost::math::tr1::cbrtl(l));
+   check_result<double>(boost::math::tr1::cbrt(ui));
+   check_result<double>(boost::math::tr1::cbrt(i));
+
+   check_result<float>(boost::math::tr1::copysign(f, f));
+   check_result<float>(boost::math::tr1::copysignf(f, f));
+   check_result<double>(boost::math::tr1::copysign(d, d));
+   check_result<long double>(boost::math::tr1::copysign(l, l));
+   check_result<long double>(boost::math::tr1::copysignl(l, l));
+   check_result<double>(boost::math::tr1::copysign(d, i));
+   check_result<double>(boost::math::tr1::copysign(ui, f));
+
+   check_result<float>(boost::math::tr1::erf(f));
+   check_result<float>(boost::math::tr1::erff(f));
+   check_result<double>(boost::math::tr1::erf(d));
+   check_result<long double>(boost::math::tr1::erf(l));
+   check_result<long double>(boost::math::tr1::erfl(l));
+   check_result<double>(boost::math::tr1::erf(ui));
+   check_result<double>(boost::math::tr1::erf(i));
+
+   check_result<float>(boost::math::tr1::erfc(f));
+   check_result<float>(boost::math::tr1::erfcf(f));
+   check_result<double>(boost::math::tr1::erfc(d));
+   check_result<long double>(boost::math::tr1::erfc(l));
+   check_result<long double>(boost::math::tr1::erfcl(l));
+   check_result<double>(boost::math::tr1::erfc(ui));
+   check_result<double>(boost::math::tr1::erfc(i));
+
+   check_result<float>(boost::math::tr1::expm1(f));
+   check_result<float>(boost::math::tr1::expm1f(f));
+   check_result<double>(boost::math::tr1::expm1(d));
+   check_result<long double>(boost::math::tr1::expm1(l));
+   check_result<long double>(boost::math::tr1::expm1l(l));
+   check_result<double>(boost::math::tr1::expm1(ui));
+   check_result<double>(boost::math::tr1::expm1(i));
+
+   check_result<float>(boost::math::tr1::fmin(f, f));
+   check_result<float>(boost::math::tr1::fminf(f, f));
+   check_result<double>(boost::math::tr1::fmin(d, d));
+   check_result<long double>(boost::math::tr1::fmin(l, l));
+   check_result<long double>(boost::math::tr1::fminl(l, l));
+   check_result<double>(boost::math::tr1::fmin(d, i));
+   check_result<double>(boost::math::tr1::fmin(ui, f));
+
+   check_result<float>(boost::math::tr1::fmax(f, f));
+   check_result<float>(boost::math::tr1::fmaxf(f, f));
+   check_result<double>(boost::math::tr1::fmax(d, d));
+   check_result<long double>(boost::math::tr1::fmax(l, l));
+   check_result<long double>(boost::math::tr1::fmaxl(l, l));
+   check_result<double>(boost::math::tr1::fmax(d, i));
+   check_result<double>(boost::math::tr1::fmax(ui, f));
+
+   check_result<float>(boost::math::tr1::hypot(f, f));
+   check_result<float>(boost::math::tr1::hypotf(f, f));
+   check_result<double>(boost::math::tr1::hypot(d, d));
+   check_result<long double>(boost::math::tr1::hypot(l, l));
+   check_result<long double>(boost::math::tr1::hypotl(l, l));
+   check_result<double>(boost::math::tr1::hypot(d, i));
+   check_result<double>(boost::math::tr1::hypot(ui, f));
+
+   check_result<float>(boost::math::tr1::lgamma(f));
+   check_result<float>(boost::math::tr1::lgammaf(f));
+   check_result<double>(boost::math::tr1::lgamma(d));
+   check_result<long double>(boost::math::tr1::lgamma(l));
+   check_result<long double>(boost::math::tr1::lgammal(l));
+   check_result<double>(boost::math::tr1::lgamma(ui));
+   check_result<double>(boost::math::tr1::lgamma(i));
+
+   check_result<long long>(boost::math::tr1::llround(f));
+   check_result<long long>(boost::math::tr1::llroundf(f));
+   check_result<long long>(boost::math::tr1::llround(d));
+   check_result<long long>(boost::math::tr1::llround(l));
+   check_result<long long>(boost::math::tr1::llroundl(l));
+   check_result<long long>(boost::math::tr1::llround(ui));
+   check_result<long long>(boost::math::tr1::llround(i));
+
+   check_result<float>(boost::math::tr1::log1p(f));
+   check_result<float>(boost::math::tr1::log1pf(f));
+   check_result<double>(boost::math::tr1::log1p(d));
+   check_result<long double>(boost::math::tr1::log1p(l));
+   check_result<long double>(boost::math::tr1::log1pl(l));
+   check_result<double>(boost::math::tr1::log1p(ui));
+   check_result<double>(boost::math::tr1::log1p(i));
+
+   check_result<long>(boost::math::tr1::lround(f));
+   check_result<long>(boost::math::tr1::lroundf(f));
+   check_result<long>(boost::math::tr1::lround(d));
+   check_result<long>(boost::math::tr1::lround(l));
+   check_result<long>(boost::math::tr1::lroundl(l));
+   check_result<long>(boost::math::tr1::lround(ui));
+   check_result<long>(boost::math::tr1::lround(i));
+
+   check_result<float>(boost::math::tr1::round(f));
+   check_result<float>(boost::math::tr1::roundf(f));
+   check_result<double>(boost::math::tr1::round(d));
+   check_result<long double>(boost::math::tr1::round(l));
+   check_result<long double>(boost::math::tr1::roundl(l));
+   check_result<double>(boost::math::tr1::round(ui));
+   check_result<double>(boost::math::tr1::round(i));
+
+   check_result<float>(boost::math::tr1::nextafter(f, f));
+   check_result<float>(boost::math::tr1::nextafterf(f, f));
+   check_result<double>(boost::math::tr1::nextafter(d, d));
+   check_result<long double>(boost::math::tr1::nextafter(l, l));
+   check_result<long double>(boost::math::tr1::nextafterl(l, l));
+   check_result<double>(boost::math::tr1::nextafter(d, i));
+   check_result<double>(boost::math::tr1::nextafter(ui, f));
+
+   check_result<float>(boost::math::tr1::nexttoward(f, f));
+   check_result<float>(boost::math::tr1::nexttowardf(f, f));
+   check_result<double>(boost::math::tr1::nexttoward(d, d));
+   check_result<long double>(boost::math::tr1::nexttoward(l, l));
+   check_result<long double>(boost::math::tr1::nexttowardl(l, l));
+   check_result<double>(boost::math::tr1::nexttoward(d, i));
+   check_result<double>(boost::math::tr1::nexttoward(ui, f));
+
+   check_result<float>(boost::math::tr1::tgamma(f));
+   check_result<float>(boost::math::tr1::tgammaf(f));
+   check_result<double>(boost::math::tr1::tgamma(d));
+   check_result<long double>(boost::math::tr1::tgamma(l));
+   check_result<long double>(boost::math::tr1::tgammal(l));
+   check_result<double>(boost::math::tr1::tgamma(ui));
+   check_result<double>(boost::math::tr1::tgamma(i));
+
+   check_result<float>(boost::math::tr1::trunc(f));
+   check_result<float>(boost::math::tr1::truncf(f));
+   check_result<double>(boost::math::tr1::trunc(d));
+   check_result<long double>(boost::math::tr1::trunc(l));
+   check_result<long double>(boost::math::tr1::truncl(l));
+   check_result<double>(boost::math::tr1::trunc(ui));
+   check_result<double>(boost::math::tr1::trunc(i));
+
+}
diff --git a/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp b/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp
new file mode 100644
index 00000000..0a8318f5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp
@@ -0,0 +1,20 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+
+
+boost::math::concepts::std_real_concept func(boost::math::concepts::std_real_concept x)
+{
+   return x;
+}
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept a = 0;
+   boost::math::concepts::std_real_concept b = 1;
+   boost::math::quadrature::trapezoidal(func, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp b/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp
new file mode 100644
index 00000000..98498232
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/trapezoidal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+double func(double x) { return x; }
+
+void compile_and_link_test()
+{
+    double a = 0;
+    double b = 1;
+    check_result<double>(boost::math::quadrature::trapezoidal(func, a, b));
+}
diff --git a/src/boost/libs/math/test/complex_test.cpp b/src/boost/libs/math/test/complex_test.cpp
new file mode 100644
index 00000000..aa6ae432
--- /dev/null
+++ b/src/boost/libs/math/test/complex_test.cpp
@@ -0,0 +1,921 @@
+//  (C) Copyright John Maddock 2005.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/math/complex.hpp>
+
+#include <iostream>
+#include <iomanip>
+#include <cmath>
+#include <typeinfo>
+
+#ifdef BOOST_NO_STDC_NAMESPACE
+namespace std{ using ::sqrt; using ::tan; using ::tanh; }
+#endif
+
+#ifndef VERBOSE
+#undef BOOST_TEST_MESSAGE
+#define BOOST_TEST_MESSAGE(x)
+#endif
+
+//
+// check_complex:
+// Verifies that expected value "a" and found value "b" have a relative error
+// less than "max_error" epsilons.  Note that relative error is calculated for
+// the complex number as a whole; this means that the error in the real or 
+// imaginary parts alone can be much higher than max_error when the real and 
+// imaginary parts are of very different magnitudes.  This is important, because
+// the Hull et al analysis of the acos and asin algorithms requires that very small
+// real/imaginary components can be safely ignored if they are negligible compared
+// to the other component.
+//
+template <class T>
+bool check_complex(const std::complex<T>& a, const std::complex<T>& b, int max_error)
+{
+   //
+   // a is the expected value, b is what was actually found,
+   // compute | (a-b)/b | and compare with max_error which is the 
+   // multiple of E to permit:
+   //
+   bool result = true;
+   static const std::complex<T> zero(0);
+   static const T eps = std::pow(static_cast<T>(std::numeric_limits<T>::radix), static_cast<T>(1 - std::numeric_limits<T>::digits));
+   if(a == zero)
+   {
+      if(b != zero)
+      {
+         if(boost::math::fabs(b) > eps)
+         {
+            result = false;
+            BOOST_ERROR("Expected {0,0} but got: " << b);
+         }
+         else
+         {
+            BOOST_TEST_MESSAGE("Expected {0,0} but got: " << b);
+         }
+      }
+      return result;
+   }
+   else if(b == zero)
+   {
+      if(boost::math::fabs(a) > eps)
+      {
+         BOOST_ERROR("Found {0,0} but expected: " << a);
+         return false;;
+      }
+      else
+      {
+         BOOST_TEST_MESSAGE("Found {0,0} but expected: " << a);
+      }
+   }
+
+   if((boost::math::isnan)(a.real()))
+   {
+      BOOST_ERROR("Found non-finite value for real part: " << a);
+   }
+   if((boost::math::isnan)(a.imag()))
+   {
+      BOOST_ERROR("Found non-finite value for inaginary part: " << a);
+   }
+
+   T rel = boost::math::fabs((b-a)/b) / eps;
+   if( rel > max_error)
+   {
+      result = false;
+      BOOST_ERROR("Error in result exceeded permitted limit of " << max_error << " (actual relative error was " << rel << "e).  Found " << b << " expected " << a);
+   }
+   return result;
+}
+
+//
+// test_inverse_trig:
+// This is nothing more than a sanity check, computes trig(atrig(z)) 
+// and compare the result to z.  Note that:
+//
+// atrig(trig(z)) != z
+//
+// for certain z because the inverse trig functions are multi-valued, this 
+// essentially rules this out as a testing method.  On the other hand:
+//
+// trig(atrig(z))
+//
+// can vary compare to z by an arbitrarily large amount.  For one thing we 
+// have no control over the implementation of the trig functions, for another
+// even if both functions were accurate to 1ulp (as accurate as transcendental
+// number can get, thanks to the "table makers dilemma"), the errors can still
+// be arbitrarily large - often the inverse trig functions will map a very large
+// part of the complex domain into a small output domain, so you can never get
+// back exactly where you started from.  Consequently these tests are no more than
+// sanity checks (just verifies that signs are correct and so on).
+//
+template <class T>
+void test_inverse_trig(T)
+{
+   using namespace std;
+
+   static const T interval = static_cast<T>(2.0L/128.0L);
+
+   T x, y;
+
+   std::cout << std::setprecision(std::numeric_limits<T>::digits10+2);
+
+   for(x = -1; x <= 1; x += interval)
+   {
+      for(y = -1; y <= 1; y += interval)
+      {
+         // acos:
+         std::complex<T> val(x, y), inter, result;
+         inter = boost::math::acos(val);
+         result = cos(inter);
+         if(!check_complex(val, result, 50))
+         {
+            std::cout << "Error in testing inverse complex cos for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=             " << val << std::endl;
+            std::cout << "   acos(val) =      " << inter << std::endl;
+            std::cout << "   cos(acos(val)) = " << result << std::endl;
+         }
+         // asin:
+         inter = boost::math::asin(val);
+         result = sin(inter);
+         if(!check_complex(val, result, 5))
+         {
+            std::cout << "Error in testing inverse complex sin for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=             " << val << std::endl;
+            std::cout << "   asin(val) =      " << inter << std::endl;
+            std::cout << "   sin(asin(val)) = " << result << std::endl;
+         }
+      }
+   }
+
+   static const T interval2 = static_cast<T>(3.0L/256.0L);
+   for(x = -3; x <= 3; x += interval2)
+   {
+      for(y = -3; y <= 3; y += interval2)
+      {
+         // asinh:
+         std::complex<T> val(x, y), inter, result;
+         inter = boost::math::asinh(val);
+         result = sinh(inter);
+         if(!check_complex(val, result, 5))
+         {
+            std::cout << "Error in testing inverse complex sinh for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=               " << val << std::endl;
+            std::cout << "   asinh(val) =       " << inter << std::endl;
+            std::cout << "   sinh(asinh(val)) = " << result << std::endl;
+         }
+         // acosh:
+         if(!((y == 0) && (x <= 1))) // can't test along the branch cut
+         {
+            inter = boost::math::acosh(val);
+            result = cosh(inter);
+            if(!check_complex(val, result, 60))
+            {
+               std::cout << "Error in testing inverse complex cosh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=               " << val << std::endl;
+               std::cout << "   acosh(val) =       " << inter << std::endl;
+               std::cout << "   cosh(acosh(val)) = " << result << std::endl;
+            }
+         }
+         //
+         // There is a problem in testing atan and atanh:
+         // The inverse functions map a large input range to a much
+         // smaller output range, so at the extremes too rather different
+         // inputs may map to the same output value once rounded to N places.
+         // Consequently tan(atan(z)) can suffer from arbitrarily large errors
+         // even if individually they each have a small error bound.  On the other
+         // hand we can't test atan(tan(z)) either because atan is multi-valued, so
+         // round-tripping in this direction isn't always possible.
+         // The following heuristic is designed to make the best of a bad job,
+         // using atan(tan(z)) where possible and tan(atan(z)) when it's not.
+         //
+         static const int tanh_error = 20;
+         if((0 != x) && (0 != y) && ((std::fabs(y) < 1) || (std::fabs(x) < 1)))
+         {
+            // atanh:
+            val = boost::math::atanh(val);
+            inter = tanh(val);
+            result = boost::math::atanh(inter);
+            if(!check_complex(val, result, tanh_error))
+            {
+               std::cout << "Error in testing inverse complex tanh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=               " << val << std::endl;
+               std::cout << "   tanh(val) =        " << inter << std::endl;
+               std::cout << "   atanh(tanh(val)) = " << result << std::endl;
+            }
+            // atan:
+            if(!((x == 0) && (std::fabs(y) == 1))) // we can't test infinities here
+            {
+               val = std::complex<T>(x, y);
+               val = boost::math::atan(val);
+               inter = tan(val);
+               result = boost::math::atan(inter);
+               if(!check_complex(val, result, tanh_error))
+               {
+                  std::cout << "Error in testing inverse complex tan for type " << typeid(T).name() << std::endl;
+                  std::cout << "   val=               " << val << std::endl;
+                  std::cout << "   tan(val) =         " << inter << std::endl;
+                  std::cout << "   atan(tan(val)) =   " << result << std::endl;
+               }
+            }
+         }
+         else
+         {
+            // atanh:
+            inter = boost::math::atanh(val);
+            result = tanh(inter);
+            if(!check_complex(val, result, tanh_error))
+            {
+               std::cout << "Error in testing inverse complex atanh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=                 " << val << std::endl;
+               std::cout << "   atanh(val) =         " << inter << std::endl;
+               std::cout << "   tanh(atanh(val)) =   " << result << std::endl;
+            }
+            // atan:
+            if(!((x == 0) && (std::fabs(y) == 1))) // we can't test infinities here
+            {
+               inter = boost::math::atan(val);
+               result = tan(inter);
+               if(!check_complex(val, result, tanh_error))
+               {
+                  std::cout << "Error in testing inverse complex atan for type " << typeid(T).name() << std::endl;
+                  std::cout << "   val=                 " << val << std::endl;
+                  std::cout << "   atan(val) =          " << inter << std::endl;
+                  std::cout << "   tan(atan(val)) =     " << result << std::endl;
+               }
+            }
+         }
+      }
+   }
+}
+
+//
+// check_spots:
+// Various spot values, mostly the C99 special cases (infinites and NAN's).
+// TODO: add spot checks for the Wolfram spot values.
+//
+template <class T>
+void check_spots(const T&)
+{
+   typedef std::complex<T> ct;
+   ct result;
+   static const T two = 2.0;
+   T eps = std::pow(two, T(1-std::numeric_limits<T>::digits)); // numeric_limits<>::epsilon way too small to be useful on Darwin.
+   static const T zero = 0;
+   static const T mzero = -zero;
+   static const T one = 1;
+   static const T pi = boost::math::constants::pi<T>();
+   static const T half_pi = boost::math::constants::half_pi<T>();
+   static const T quarter_pi = half_pi / 2;
+   static const T three_quarter_pi = boost::math::constants::three_quarters_pi<T>();
+   T infinity = std::numeric_limits<T>::infinity();
+   bool test_infinity = std::numeric_limits<T>::has_infinity;
+   T nan = 0;
+   bool test_nan = false;
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
+   // numeric_limits reports that a quiet NaN is present
+   // but an attempt to access it will terminate the program!!!!
+   if(std::numeric_limits<T>::has_quiet_NaN)
+      nan = std::numeric_limits<T>::quiet_NaN();
+   if((boost::math::isnan)(nan))
+      test_nan = true;
+#endif
+#if defined(__DECCXX) && !defined(_IEEE_FP)
+   // Tru64 cxx traps infinities unless the -ieee option is used:
+   test_infinity = false;
+#endif
+
+   //
+   // C99 spot tests for acos:
+   //
+   result = boost::math::acos(ct(zero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(zero, mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(mzero, mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(zero,nan));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   
+      result = boost::math::acos(ct(mzero,nan));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acos(ct(zero, infinity));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(zero, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acos(ct(-infinity, one));
+      BOOST_CHECK_CLOSE(result.real(), pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(infinity, one));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(-infinity, -one));
+      BOOST_CHECK_CLOSE(result.real(), pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(infinity, -one));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(-infinity, infinity));
+      BOOST_CHECK_CLOSE(result.real(), three_quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(infinity, infinity));
+      BOOST_CHECK_CLOSE(result.real(), quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(-infinity, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), three_quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(infinity, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+   }
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(infinity, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(std::fabs(result.imag()) == infinity);
+
+      result = boost::math::acos(ct(-infinity, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(std::fabs(result.imag()) == infinity);
+
+      result = boost::math::acos(ct(nan, zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, -zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, infinity));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == -infinity);
+      
+      result = boost::math::acos(ct(nan, -infinity));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == infinity);
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::acos(ct(-1.25f, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() < 0);
+      result = boost::math::asin(ct(-1.75f, mzero));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+      result = boost::math::atan(ct(mzero, -1.75f));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+
+      result = boost::math::acos(ct(zero, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK((boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(zero, mzero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK(0 == (boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(mzero, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK((boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(mzero, mzero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK(0 == (boost::math::signbit)(result.imag()));
+   }
+
+   //
+   // C99 spot tests for acosh:
+   //
+   result = boost::math::acosh(ct(zero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+   result = boost::math::acosh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+   result = boost::math::acosh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   
+   result = boost::math::acosh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+   
+   if(test_infinity)
+   {
+      result = boost::math::acosh(ct(one, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::acosh(ct(one, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::acosh(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acosh(ct(-infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::acosh(ct(-infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::acosh(ct(-infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), three_quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(-infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -three_quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+   }
+   
+   if(test_nan)
+   {
+      result = boost::math::acosh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::acosh(ct(-2.5f, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() > 0);
+   }
+   //
+   // C99 spot checks for asinh:
+   //
+   result = boost::math::asinh(ct(zero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   if(test_infinity)
+   {
+      result = boost::math::asinh(ct(one, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(one, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-one, -infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-one, infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::asinh(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(-one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(zero, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::asinh(ct(infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(-infinity, -one));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(-infinity, one));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-infinity, -infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-infinity, infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::asinh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan, zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == 0);
+
+      result = boost::math::asinh(ct(nan,  mzero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == 0);
+
+      result = boost::math::asinh(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan, infinity));
+      BOOST_CHECK(std::fabs(result.real()) == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  -infinity));
+      BOOST_CHECK(std::fabs(result.real()) == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::asinh(ct(zero, 1.5f));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() > 0);
+   }
+   
+   //
+   // C99 special cases for atanh:
+   //
+   result = boost::math::atanh(ct(zero, zero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(zero, nan));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-zero, nan));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::atanh(ct(one, zero));
+      BOOST_CHECK_EQUAL(result.real(), infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(-one, zero));
+      BOOST_CHECK_EQUAL(result.real(), -infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(-one, -zero));
+      BOOST_CHECK_EQUAL(result.real(), -infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(one, -zero));
+      BOOST_CHECK_EQUAL(result.real(), infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(pi, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(pi, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-pi, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-pi, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(pi, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-pi, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::atanh(ct(infinity, pi));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, -pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, -pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, pi));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, -pi));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, infinity));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(nan, -infinity));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::atanh(ct(-2.0f, mzero));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+   }
+}
+
+//
+// test_boundaries:
+// This is an accuracy test, sets the real and imaginary components
+// of the input argument to various "boundary conditions" that exist
+// inside the implementation.  Then computes the result at double precision
+// and again at float precision.  The double precision result will be
+// computed using the "regular" code, where as the float precision versions
+// will calculate the result using the "exceptional value" handlers, so
+// we end up comparing the values calculated by two different methods.
+//
+const float boundaries[] = {
+   0,
+   1,
+   2,
+   (std::numeric_limits<float>::max)(),
+   (std::numeric_limits<float>::min)(),
+   std::numeric_limits<float>::epsilon(),
+   std::sqrt((std::numeric_limits<float>::max)()) / 8,
+   static_cast<float>(4) * std::sqrt((std::numeric_limits<float>::min)()),
+   0.6417F,
+   1.5F,
+   std::sqrt((std::numeric_limits<float>::max)()) / 2,
+   std::sqrt((std::numeric_limits<float>::min)()),
+   1.0F / 0.3F,
+};
+
+void do_test_boundaries(float x, float y)
+{
+   std::complex<float> r1 = boost::math::asin(std::complex<float>(x, y));
+   std::complex<double> dr = boost::math::asin(std::complex<double>(x, y));
+   std::complex<float> r2(static_cast<float>(dr.real()), static_cast<float>(dr.imag()));
+   check_complex(r2, r1, 5);
+   r1 = boost::math::acos(std::complex<float>(x, y));
+   dr = boost::math::acos(std::complex<double>(x, y));
+   r2 = std::complex<float>(std::complex<double>(dr.real(), dr.imag()));
+   check_complex(r2, r1, 5);
+   r1 = boost::math::atanh(std::complex<float>(x, y));
+   dr = boost::math::atanh(std::complex<double>(x, y));
+   r2 = std::complex<float>(std::complex<double>(dr.real(), dr.imag()));
+   check_complex(r2, r1, 5);
+}
+
+void test_boundaries(float x, float y)
+{
+   do_test_boundaries(x, y);
+   do_test_boundaries(-x, y); 
+   do_test_boundaries(-x, -y);
+   do_test_boundaries(x, -y);
+}
+
+void test_boundaries(float x)
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(x, boundaries[i]);
+      test_boundaries(x, boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(x, boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_boundaries()
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(boundaries[i]);
+      test_boundaries(boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);//here
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   std::cout << "Running complex trig sanity checks for type float." << std::endl;
+   test_inverse_trig(float(0));
+   std::cout << "Running complex trig sanity checks for type double." << std::endl;
+   test_inverse_trig(double(0));
+   //test_inverse_trig((long double)(0));
+
+   std::cout << "Running complex trig spot checks for type float." << std::endl;
+   check_spots(float(0));
+   std::cout << "Running complex trig spot checks for type double." << std::endl;
+   check_spots(double(0));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   std::cout << "Running complex trig spot checks for type long double." << std::endl;
+   check_spots((long double)(0));
+#endif
+
+   std::cout << "Running complex trig boundary and accuracy tests." << std::endl;
+   test_boundaries();
+}
+
+
+
diff --git a/src/boost/libs/math/test/condition_number_test.cpp b/src/boost/libs/math/test/condition_number_test.cpp
new file mode 100644
index 00000000..2adb9be2
--- /dev/null
+++ b/src/boost/libs/math/test/condition_number_test.cpp
@@ -0,0 +1,122 @@
+//  (C) Copyright Nick Thompson, 2019
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE condition_number_test
+
+#include <cmath>
+#include <limits>
+#include <iostream>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/special_functions/lambert_w.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/tools/condition_numbers.hpp>
+
+using std::abs;
+using boost::math::constants::half;
+using boost::math::constants::ln_two;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::tools::summation_condition_number;
+using boost::math::tools::evaluation_condition_number;
+
+template<class Real>
+void test_summation_condition_number()
+{
+    Real tol = 1000*std::numeric_limits<float>::epsilon();
+    auto cond = summation_condition_number<Real>();
+    // I've checked that the condition number increases with max_n,
+    // and that the computed sum gets more accurate with increasing max_n.
+    // But the CI system would die with more terms.
+    Real max_n = 10000;
+    for (Real n = 1; n < max_n; n += 2)
+    {
+        cond += 1/n;
+        cond -= 1/(n+1);
+    }
+
+    BOOST_CHECK_CLOSE_FRACTION(cond.sum(), ln_two<Real>(), tol);
+    BOOST_TEST(cond() > 14);
+}
+
+template<class Real>
+void test_exponential_sum()
+{
+    using std::exp;
+    using std::abs;
+    Real eps = std::numeric_limits<float>::epsilon();
+    for (Real x = -20; x <= -1; x += 0.5)
+    {
+        auto cond = summation_condition_number<Real>(1);
+        size_t n = 1;
+        Real term = x;
+        while(n++ < 1000)
+        {
+            cond += term;
+            term *= (x/n);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(exp(x), cond.sum(), eps*cond());
+        BOOST_CHECK_CLOSE_FRACTION(exp(2*abs(x)), cond(), eps*cond());
+    }
+}
+
+
+
+template<class Real>
+void test_evaluation_condition_number()
+{
+    using std::abs;
+    using std::log;
+    using std::sqrt;
+    using std::exp;
+    using std::sin;
+    using std::tan;
+    Real tol = sqrt(std::numeric_limits<Real>::epsilon());
+
+    auto f1 = [](auto x) { return log(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f1, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, 1/log(x), tol);
+    }
+
+    auto f2 = [](auto x) { return exp(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f2, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, x, tol);
+    }
+
+    auto f3 = [](auto x) { return sin(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f3, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, abs(x/tan(x)), tol);
+    }
+
+    // Test a function which right differentiable:
+    using boost::math::constants::e;
+    auto f4 = [](Real x) { return boost::math::lambert_w0(x); };
+    Real cond = evaluation_condition_number(f4, -1/e<Real>());
+    if (std::is_same_v<Real, float>)
+    {
+        BOOST_CHECK_GE(cond, 30);
+    }
+    else
+    {
+        BOOST_CHECK_GE(cond, 4900);
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(numerical_differentiation_test)
+{
+    test_summation_condition_number<float>();
+    test_summation_condition_number<cpp_bin_float_50>();
+    test_evaluation_condition_number<float>();
+    test_evaluation_condition_number<double>();
+    test_evaluation_condition_number<long double>();
+    test_evaluation_condition_number<cpp_bin_float_50>();
+    test_exponential_sum<double>();
+}
diff --git a/src/boost/libs/math/test/digamma_data.ipp b/src/boost/libs/math/test/digamma_data.ipp
new file mode 100644
index 00000000..f2e951f1
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_data.ipp
@@ -0,0 +1,507 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 500> digamma_data = { {
+      {{ SC_(2.818432331085205078125), SC_(0.8484115700906551606307984398000472347785) }}, 
+      {{ SC_(4.6342258453369140625), SC_(1.421713669467331557347601964119226105014) }}, 
+      {{ SC_(4.783483982086181640625), SC_(1.457016504476551729585831562031964212238) }}, 
+      {{ SC_(8.0939121246337890625), SC_(2.02806725001046109435006913084666450899) }}, 
+      {{ SC_(11.90207004547119140625), SC_(2.434114987242530269375534072241650635459) }}, 
+      {{ SC_(13.53912639617919921875), SC_(2.568199379535107033473901142572267131293) }}, 
+      {{ SC_(15.40344142913818359375), SC_(2.70177959979566700235213147968567613712) }}, 
+      {{ SC_(16.5205841064453125), SC_(2.774036634025874647373138331993451055497) }}, 
+      {{ SC_(17.7738971710205078125), SC_(2.849336085709903318587899668469823726457) }}, 
+      {{ SC_(18.45084381103515625), SC_(2.887766358793563776387986802412157943366) }}, 
+      {{ SC_(29.2202816009521484375), SC_(3.357654052423628189208902434898861034575) }}, 
+      {{ SC_(31.832843780517578125), SC_(3.444709303236843682984386511584019805155) }}, 
+      {{ SC_(33.268566131591796875), SC_(3.48950850367834697800598135337384460165) }}, 
+      {{ SC_(34.31731414794921875), SC_(3.521009352966155255811365379184456009466) }}, 
+      {{ SC_(34.446079254150390625), SC_(3.524809514386367110160928575889334171204) }}, 
+      {{ SC_(35.711681365966796875), SC_(3.561411485674988633898237821294494311983) }}, 
+      {{ SC_(36.441249847412109375), SC_(3.581917907724542515429931900299321464116) }}, 
+      {{ SC_(40.471111297607421875), SC_(3.688183052096727944017539059038660866267) }}, 
+      {{ SC_(42.0541229248046875), SC_(3.727020872145296937504698477067321294092) }}, 
+      {{ SC_(43.023799896240234375), SC_(3.750086956755859174992028774044963741414) }}, 
+      {{ SC_(45.059543609619140625), SC_(3.796847336482220986142117794493357261772) }}, 
+      {{ SC_(46.171390533447265625), SC_(3.821492048093989120306052355659348850595) }}, 
+      {{ SC_(47.944286346435546875), SC_(3.859574612789685102190529392545009249772) }}, 
+      {{ SC_(49.654422760009765625), SC_(3.894984071254501776336224194667579417761) }}, 
+      {{ SC_(51.216426849365234375), SC_(3.92626605711337968996352527100620814691) }}, 
+      {{ SC_(53.152568817138671875), SC_(3.963730056566564459495465774334833292077) }}, 
+      {{ SC_(53.9501190185546875), SC_(3.978763447797611600078998595828792990884) }}, 
+      {{ SC_(59.779544830322265625), SC_(4.082276159182205975531619692613299061202) }}, 
+      {{ SC_(67.59537506103515625), SC_(4.206124370756245048917505923080906736667) }}, 
+      {{ SC_(75.8542938232421875), SC_(4.322208246185371494736862321857785356042) }}, 
+      {{ SC_(75.96668243408203125), SC_(4.323698582444848954937627922600414958993) }}, 
+      {{ SC_(77.55702972412109375), SC_(4.344552810478025331117690547449165135348) }}, 
+      {{ SC_(78.17552947998046875), SC_(4.352547177563450363247154506704116472633) }}, 
+      {{ SC_(81.125762939453125), SC_(4.389824647463436852929138346906265829317) }}, 
+      {{ SC_(83.821380615234375), SC_(4.422711187859794187691096231764756635029) }}, 
+      {{ SC_(84.43585205078125), SC_(4.430058755062111563873245625234033772093) }}, 
+      {{ SC_(85.5157928466796875), SC_(4.442842802158912826398856512764451371231) }}, 
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+      {{ SC_(908.43359375), SC_(6.811171291835528522342757827992129791562) }}, 
+      {{ SC_(910.56494140625), SC_(6.81351601145607889196433654356525525846) }}, 
+      {{ SC_(910.6475830078125), SC_(6.813606815790404023323189518843380307986) }}, 
+      {{ SC_(912.5775146484375), SC_(6.815725030681610574873878555395906108156) }}, 
+      {{ SC_(913.33734130859375), SC_(6.816557756247443703552647371667225468139) }}, 
+      {{ SC_(913.3758544921875), SC_(6.816599945984404149476890515171707321892) }}, 
+      {{ SC_(915.73553466796875), SC_(6.819181496829614596845401444040303420405) }}, 
+      {{ SC_(917.117919921875), SC_(6.820690771903488486844573292669501047527) }}, 
+      {{ SC_(917.19366455078125), SC_(6.82077340337986035180672708919674786967) }}, 
+      {{ SC_(920.874755859375), SC_(6.824780979614736502636113976154470262398) }}, 
+      {{ SC_(923.379638671875), SC_(6.827498872615433477170026117448771541295) }}, 
+      {{ SC_(927.49285888671875), SC_(6.8319459105580415512096734861697582082) }}, 
+      {{ SC_(928.85418701171875), SC_(6.83341337535443392277100858245459000213) }}, 
+      {{ SC_(929.263671875), SC_(6.833854364953862271803203220770951435661) }}, 
+      {{ SC_(929.385986328125), SC_(6.833986052262011870912515832740972478803) }}, 
+      {{ SC_(933.99322509765625), SC_(6.838933753242727661252945811698284684698) }}, 
+      {{ SC_(934.01068115234375), SC_(6.838952452778342207434589177668657889371) }}, 
+      {{ SC_(939.0015869140625), SC_(6.844284594236099395567215793156428746645) }}, 
+      {{ SC_(940.07403564453125), SC_(6.845426666187627323729754250792575000864) }}, 
+      {{ SC_(942.05059814453125), SC_(6.847528135708265169237587238138487198853) }}, 
+      {{ SC_(944.7872314453125), SC_(6.850430437191786907351651758111614319783) }}, 
+      {{ SC_(948.925048828125), SC_(6.854802811834284555381489323758582235861) }}, 
+      {{ SC_(950.2220458984375), SC_(6.856169404714020378408540666432044534508) }}, 
+      {{ SC_(954.943359375), SC_(6.861128346520892642201796166599822038471) }}, 
+      {{ SC_(955.017578125), SC_(6.861206104783820446126170121986330983269) }}, 
+      {{ SC_(956.13458251953125), SC_(6.862375649747642715205235987065776445518) }}, 
+      {{ SC_(957.1669921875), SC_(6.863455405877975518619709756325785766734) }}, 
+      {{ SC_(957.5068359375), SC_(6.863810580012297609207700982417845904956) }}, 
+      {{ SC_(959.2913818359375), SC_(6.865673559355261880433729035303716037083) }}, 
+      {{ SC_(959.492431640625), SC_(6.865883228230126473126797544809231414745) }}, 
+      {{ SC_(959.74395751953125), SC_(6.866145475218019847811591867037562659094) }}, 
+      {{ SC_(961.8980712890625), SC_(6.868388594389408661650623078145486428762) }}, 
+      {{ SC_(964.88848876953125), SC_(6.871494254878780851989128297020995382715) }}, 
+      {{ SC_(964.96636962890625), SC_(6.871575008339416373031500751728687321642) }}, 
+      {{ SC_(967.6949462890625), SC_(6.874400118733980051857714900416741852838) }}, 
+      {{ SC_(968.640380859375), SC_(6.87537714276502884037846310503316214533) }}, 
+      {{ SC_(968.8677978515625), SC_(6.875612016002868563135875018985921894413) }}, 
+      {{ SC_(970.5927734375), SC_(6.877391753918391265533592997745089246348) }}, 
+      {{ SC_(977.00201416015625), SC_(6.883976856642686182085022703036491098977) }}, 
+      {{ SC_(979.74835205078125), SC_(6.886785333127100045440434410093146016624) }}, 
+      {{ SC_(979.9256591796875), SC_(6.886966381237166628662813047575594521666) }}, 
+      {{ SC_(981.10968017578125), SC_(6.888174544185669495233192817179284924608) }}, 
+      {{ SC_(981.72314453125), SC_(6.888799943368115034020659880636949694688) }}, 
+      {{ SC_(982.36053466796875), SC_(6.8894493197658087146525978621453836978) }}, 
+      {{ SC_(987.4595947265625), SC_(6.894629143910089536380903205901047293626) }}, 
+      {{ SC_(988.37939453125), SC_(6.895560662679555267312975090816879245672) }}, 
+      {{ SC_(988.5216064453125), SC_(6.895704609063605825635576817887832481836) }}, 
+      {{ SC_(990.1099853515625), SC_(6.897310953864133148550105914216515716675) }}, 
+      {{ SC_(992.88128662109375), SC_(6.900107437258989936275310085429403733899) }}, 
+      {{ SC_(993.53472900390625), SC_(6.900765679507473199060169339559463847836) }}, 
+      {{ SC_(994.0684814453125), SC_(6.901303031311155785795352189437299613696) }}, 
+      {{ SC_(996.13470458984375), SC_(6.903380469883631241011306751657568074638) }}, 
+      {{ SC_(996.4613037109375), SC_(6.903708447139272864766001846716835845992) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_neg_data.ipp b/src/boost/libs/math/test/digamma_neg_data.ipp
new file mode 100644
index 00000000..b4225fcf
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_neg_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> digamma_neg_data = { {
+      {{ SC_(-99.7181549072265625), SC_(2.03892909952497242038694056382195623059) }}, 
+      {{ SC_(-99.5216522216796875), SC_(4.3913617771941913117971009646096341326) }}, 
+      {{ SC_(-98.80979156494140625), SC_(-0.01795976054399933340057713377738267488686) }}, 
+      {{ SC_(-98.646087646484375), SC_(3.044214979883807667874683391024711390163) }}, 
+      {{ SC_(-98.2226104736328125), SC_(8.327061837969621994688065941368639650164) }}, 
+      {{ SC_(-96.81671905517578125), SC_(-0.2613967795671165924570265553692310141858) }}, 
+      {{ SC_(-96.555389404296875), SC_(4.023029392905834803729410679283679163172) }}, 
+      {{ SC_(-96.4288330078125), SC_(5.288313818176304987255615817663265383342) }}, 
+      {{ SC_(-96.35587310791015625), SC_(6.101607804168127653000043332720050192048) }}, 
+      {{ SC_(-95.3828582763671875), SC_(5.774458772879798661504785984613127024683) }}, 
+      {{ SC_(-94.87835693359375), SC_(-3.258775525008949657912384482006797161857) }}, 
+      {{ SC_(-94.60498809814453125), SC_(3.479509682356698077739870471765368709254) }}, 
+      {{ SC_(-93.2404632568359375), SC_(7.876249181059212250961342610258680843403) }}, 
+      {{ SC_(-92.41457366943359375), SC_(5.395652110469876120841383508575006667739) }}, 
+      {{ SC_(-90.2868194580078125), SC_(6.996060449908181672759658412431764721268) }}, 
+      {{ SC_(-90.2459564208984375), SC_(7.730510069525265980585453066651639424664) }}, 
+      {{ SC_(-89.013824462890625), SC_(76.7844527353150160809893161375899712728) }}, 
+      {{ SC_(-88.75354766845703125), SC_(1.279073328662160048752885420029490083884) }}, 
+      {{ SC_(-88.1002349853515625), SC_(14.12873575145206447240140060245136812233) }}, 
+      {{ SC_(-87.481719970703125), SC_(4.657749706875254767656016829355880725463) }}, 
+      {{ SC_(-87.41033935546875), SC_(5.385408972387998240975025273868320766616) }}, 
+      {{ SC_(-87.3013153076171875), SC_(6.737807742019520253440825060046509923858) }}, 
+      {{ SC_(-87.00937652587890625), SC_(111.0902104512757743601088229496385482381) }}, 
+      {{ SC_(-86.452301025390625), SC_(4.939690918031593302255270591348782158549) }}, 
+      {{ SC_(-86.1375579833984375), SC_(11.27311653802311845949475246171079728424) }}, 
+      {{ SC_(-85.81136322021484375), SC_(-0.2076024359899236820459284405564934682571) }}, 
+      {{ SC_(-85.08860015869140625), SC_(15.4432197184156901762673734012738165669) }}, 
+      {{ SC_(-85.0706024169921875), SC_(18.38013049788840734996810404641615698096) }}, 
+      {{ SC_(-84.55615997314453125), SC_(3.88321705564237834505242432670033691134) }}, 
+      {{ SC_(-84.2386932373046875), SC_(7.812678135978754145263274987740845778654) }}, 
+      {{ SC_(-84.194244384765625), SC_(8.931719867523162463837746400725488234199) }}, 
+      {{ SC_(-83.73882293701171875), SC_(1.505295935399338449868426369185929751229) }}, 
+      {{ SC_(-82.8813323974609375), SC_(-3.609402776980612588036128298328365683225) }}, 
+      {{ SC_(-82.6134796142578125), SC_(3.250221400281531800616333769504919375611) }}, 
+      {{ SC_(-81.31273651123046875), SC_(6.500209496762236219781012282892172792378) }}, 
+      {{ SC_(-81.16180419921875), SC_(10.04118609757139096209050165941519368701) }}, 
+      {{ SC_(-80.34047698974609375), SC_(6.113463877628090613614429157059502101004) }}, 
+      {{ SC_(-79.1931915283203125), SC_(8.902649813785723219406837941195708301933) }}, 
+      {{ SC_(-78.979095458984375), SC_(-43.39220275151493342151673584769713674459) }}, 
+      {{ SC_(-78.80756378173828125), SC_(-0.1741139524199893908631289936754328553595) }}, 
+      {{ SC_(-78.276214599609375), SC_(7.029126641974004636072711755974329319293) }}, 
+      {{ SC_(-77.8965911865234375), SC_(-4.965949067939776233732103672063117487233) }}, 
+      {{ SC_(-77.618804931640625), SC_(3.128016725588726483845498994960937165101) }}, 
+      {{ SC_(-76.9843902587890625), SC_(-59.66111542957708160367279993835116598861) }}, 
+      {{ SC_(-75.6475067138671875), SC_(2.762831843674791808646068344156198358292) }}, 
+      {{ SC_(-74.8916168212890625), SC_(-4.544467476010996269925717795920967036228) }}, 
+      {{ SC_(-74.57178497314453125), SC_(3.59770242115359475843120457380803078855) }}, 
+      {{ SC_(-74.49048614501953125), SC_(4.411294618813885078478516140128263239646) }}, 
+      {{ SC_(-74.249176025390625), SC_(7.472045154786435852081961669032387751756) }}, 
+      {{ SC_(-72.397491455078125), SC_(5.337270392731504876256252154330660996853) }}, 
+      {{ SC_(-72.30770111083984375), SC_(6.45618615562028783175344592523791857763) }}, 
+      {{ SC_(-72.150177001953125), SC_(10.44291983579332484719137950538141198138) }}, 
+      {{ SC_(-71.41609954833984375), SC_(5.123297394484169650507849264219211277233) }}, 
+      {{ SC_(-70.29705810546875), SC_(6.586989653308987758464004111780026164342) }}, 
+      {{ SC_(-70.0168304443359375), SC_(63.61661733083149880967450730403400964169) }}, 
+      {{ SC_(-69.808685302734375), SC_(-0.3289873714853887848889508326638941457588) }}, 
+      {{ SC_(-69.18329620361328125), SC_(9.082833286105283040745693219253094753599) }}, 
+      {{ SC_(-68.3449554443359375), SC_(5.895816498784197711310887233679346985484) }}, 
+      {{ SC_(-68.2900543212890625), SC_(6.667078439728477642775937857513723712022) }}, 
+      {{ SC_(-66.7551727294921875), SC_(0.9631089274457797371832913555201378277263) }}, 
+      {{ SC_(-66.2877349853515625), SC_(6.674402390903648107264524741943941318692) }}, 
+      {{ SC_(-65.96142578125), SC_(-21.60039097244717646250068532377671067773) }}, 
+      {{ SC_(-65.00162506103515625), SC_(619.5382407651047414044960295217348989637) }}, 
+      {{ SC_(-64.83405303955078125), SC_(-1.290399564904368875515657543138626740639) }}, 
+      {{ SC_(-64.72376251220703125), SC_(1.515712957371258935902920146011383158566) }}, 
+      {{ SC_(-64.36548614501953125), SC_(5.585036804770642096748234463405359373268) }}, 
+      {{ SC_(-63.870601654052734375), SC_(-3.132938413135016068514633000959251655011) }}, 
+      {{ SC_(-61.955417633056640625), SC_(-18.14906679867205714676685355624200206247) }}, 
+      {{ SC_(-61.84415435791015625), SC_(-1.762828050189299963414925510084105410157) }}, 
+      {{ SC_(-61.27040863037109375), SC_(6.885962246437210164247050669769241762116) }}, 
+      {{ SC_(-61.1430206298828125), SC_(10.63639337906714605332887925207272339472) }}, 
+      {{ SC_(-60.7772979736328125), SC_(0.3828568174285943765552196371752184023788) }}, 
+      {{ SC_(-60.767955780029296875), SC_(0.597630996899231770205669545427601282449) }}, 
+      {{ SC_(-60.50917816162109375), SC_(4.020425571512186535251807369058720729888) }}, 
+      {{ SC_(-60.126148223876953125), SC_(11.61249771821316227897371950731036451444) }}, 
+      {{ SC_(-59.5791473388671875), SC_(3.298014524278177804824357796228486139154) }}, 
+      {{ SC_(-59.12688446044921875), SC_(11.54738093463764209365528407465938463008) }}, 
+      {{ SC_(-58.733348846435546875), SC_(1.252516603233681404470535780337376850768) }}, 
+      {{ SC_(-57.823871612548828125), SC_(-1.020030805813282973065541328061417103161) }}, 
+      {{ SC_(-57.791233062744140625), SC_(-0.01721196139850082730515140522511875898686) }}, 
+      {{ SC_(-57.6834869384765625), SC_(2.021283718214246528807976825874750730944) }}, 
+      {{ SC_(-56.1255645751953125), SC_(11.58306242149007962260737588966574096145) }}, 
+      {{ SC_(-55.441379547119140625), SC_(4.6095090326877333856682583039277727222) }}, 
+      {{ SC_(-54.396717071533203125), SC_(5.062176320861478792112156635998489324447) }}, 
+      {{ SC_(-54.201084136962890625), SC_(8.295102791777500360299701370233860660785) }}, 
+      {{ SC_(-53.06093597412109375), SC_(20.19053903029668873838826742013474757079) }}, 
+      {{ SC_(-52.671115875244140625), SC_(2.10070123867348232297487204513445237558) }}, 
+      {{ SC_(-52.52413177490234375), SC_(3.73213352669881119442059765740051858078) }}, 
+      {{ SC_(-51.462436676025390625), SC_(4.323002262954298089562762598650242024201) }}, 
+      {{ SC_(-51.243106842041015625), SC_(7.226998934762993806818100988804419542686) }}, 
+      {{ SC_(-51.0235595703125), SC_(46.31011451882384360024092555028601375848) }}, 
+      {{ SC_(-50.94109344482421875), SC_(-12.8413475810657768775226051735008739843) }}, 
+      {{ SC_(-50.163593292236328125), SC_(9.490021355163248564818621481640556958139) }}, 
+      {{ SC_(-49.63372802734375), SC_(2.511313156813305996562305257857390789172) }}, 
+      {{ SC_(-49.404293060302734375), SC_(4.884246649262366888920411419024147958277) }}, 
+      {{ SC_(-47.262851715087890625), SC_(6.763893885944739117755918311467424143999) }}, 
+      {{ SC_(-46.920246124267578125), SC_(-8.416023355487745311972990967262253971971) }}, 
+      {{ SC_(-45.31185150146484375), SC_(5.932978383248106730387626359282358526882) }}, 
+      {{ SC_(-45.278446197509765625), SC_(6.448720313065481170040935613035156187478) }}, 
+      {{ SC_(-45.277942657470703125), SC_(6.457159638091017467737698925977740795224) }}, 
+      {{ SC_(-45.027637481689453125), SC_(39.91011698129930359222267887372752760268) }}, 
+      {{ SC_(-43.8442535400390625), SC_(-2.107933118887280485309161602735949216416) }}, 
+      {{ SC_(-43.217838287353515625), SC_(7.628256500265451720152832482834432955622) }}, 
+      {{ SC_(-43.11763763427734375), SC_(11.88558178274471415613706962118145261485) }}, 
+      {{ SC_(-42.62453460693359375), SC_(2.468202270232387819257535057032048703186) }}, 
+      {{ SC_(-41.904331207275390625), SC_(-6.388806142931646581376930809159704270731) }}, 
+      {{ SC_(-41.473590850830078125), SC_(3.998311840817845119612809226760453214553) }}, 
+      {{ SC_(-41.47322845458984375), SC_(4.001904991009103072678533254287758877523) }}, 
+      {{ SC_(-40.71761322021484375), SC_(1.159373041348507101344016731863232548419) }}, 
+      {{ SC_(-40.549640655517578125), SC_(3.220862320117017004190871786172571326259) }}, 
+      {{ SC_(-38.39553070068359375), SC_(4.73066601123284545617603996389975515062) }}, 
+      {{ SC_(-36.764072418212890625), SC_(0.185641778964637473051349775352193113594) }}, 
+      {{ SC_(-36.0236663818359375), SC_(45.77413334958292444754118070178767678465) }}, 
+      {{ SC_(-35.60390472412109375), SC_(2.522888342129267961559021180379112152327) }}, 
+      {{ SC_(-35.3686981201171875), SC_(4.954668236416411879662604875880175363163) }}, 
+      {{ SC_(-34.49019622802734375), SC_(3.651891900429621653936520779034983699363) }}, 
+      {{ SC_(-34.452213287353515625), SC_(4.029227315027716909301715786442880409125) }}, 
+      {{ SC_(-34.425933837890625), SC_(4.297752459205291355542460490934969321341) }}, 
+      {{ SC_(-33.6394500732421875), SC_(2.05879207452756962707410762095930722907) }}, 
+      {{ SC_(-32.12648773193359375), SC_(10.97049318285659411778704721045579811462) }}, 
+      {{ SC_(-32.02973175048828125), SC_(37.01840088144976405978561031600232101035) }}, 
+      {{ SC_(-32.018024444580078125), SC_(58.90273484616011864735901401561254400453) }}, 
+      {{ SC_(-31.864048004150390625), SC_(-3.425649819825478548122204473279221831269) }}, 
+      {{ SC_(-30.5171375274658203125), SC_(3.265278944239551980140922031510366995665) }}, 
+      {{ SC_(-30.4767131805419921875), SC_(3.663521748406629288062646856398131484428) }}, 
+      {{ SC_(-30.0923290252685546875), SC_(13.94615623704883065583726298948748620016) }}, 
+      {{ SC_(-29.4225749969482421875), SC_(4.178249593518503446782790798157935603259) }}, 
+      {{ SC_(-29.395389556884765625), SC_(4.46906479672600980848725781028158753644) }}, 
+      {{ SC_(-29.0635166168212890625), SC_(18.92098221867999526957587349227217750794) }}, 
+      {{ SC_(-28.929615020751953125), SC_(-10.59321162183541691346972253310776238772) }}, 
+      {{ SC_(-27.416103363037109375), SC_(4.17700594969969944426868830026842791532) }}, 
+      {{ SC_(-27.304531097412109375), SC_(5.54012214812515808522852628894283103891) }}, 
+      {{ SC_(-26.72013092041015625), SC_(0.7028843790088342764015208907756718567463) }}, 
+      {{ SC_(-25.9352741241455078125), SC_(-11.9614838597048426449728575053473182996) }}, 
+      {{ SC_(-25.6867523193359375), SC_(1.176826484915453835886205411786243733377) }}, 
+      {{ SC_(-24.8732929229736328125), SC_(-4.237136620209855403786484087613189060887) }}, 
+      {{ SC_(-24.6270904541015625), SC_(1.898484134239669451822687252748496404653) }}, 
+      {{ SC_(-24.53133392333984375), SC_(2.909938662308256016840011167255882888239) }}, 
+      {{ SC_(-24.27997589111328125), SC_(5.809456022692943160671997012588234680914) }}, 
+      {{ SC_(-24.225986480712890625), SC_(6.863255301509444395634121067991546441736) }}, 
+      {{ SC_(-23.8268795013427734375), SC_(-2.003570170516321537241642099057200674105) }}, 
+      {{ SC_(-23.6249980926513671875), SC_(1.882051906931976769141489221324624486755) }}, 
+      {{ SC_(-23.4483184814453125), SC_(3.690576780901990543590973501647480396476) }}, 
+      {{ SC_(-22.6082859039306640625), SC_(2.02829972990549794339388303789633983053) }}, 
+      {{ SC_(-22.1102294921875), SC_(11.82489297106174961055859856595077767589) }}, 
+      {{ SC_(-22.0832767486572265625), SC_(14.85021720005861723216276067526099288351) }}, 
+      {{ SC_(-20.779270172119140625), SC_(-0.7220286362185610999510531120120858367544) }}, 
+      {{ SC_(-20.6402416229248046875), SC_(1.570036502538595917265616936047416332984) }}, 
+      {{ SC_(-20.60250091552734375), SC_(2.001360446832507792499854867762750216251) }}, 
+      {{ SC_(-20.480007171630859375), SC_(3.241245764823419396963096620359809656269) }}, 
+      {{ SC_(-20.27201080322265625), SC_(5.768313318300353594949489118483966781535) }}, 
+      {{ SC_(-20.2071361541748046875), SC_(7.156819372589727235791276774661186960423) }}, 
+      {{ SC_(-20.1894168853759765625), SC_(7.670698039778866912498508209079922928436) }}, 
+      {{ SC_(-19.971954345703125), SC_(-32.54467844963252077717911577731405834236) }}, 
+      {{ SC_(-19.2469005584716796875), SC_(6.186480084023335387087272289090747328989) }}, 
+      {{ SC_(-19.1824493408203125), SC_(7.847002126080603757397510906504995585177) }}, 
+      {{ SC_(-19.0265483856201171875), SC_(40.55157678949956103482720787629324186475) }}, 
+      {{ SC_(-18.5715198516845703125), SC_(2.230314699128516174606595799951710607353) }}, 
+      {{ SC_(-18.5276336669921875), SC_(2.672586759609702793340088983364248246452) }}, 
+      {{ SC_(-17.9159221649169921875), SC_(-8.702502484177860216144583065634001249363) }}, 
+      {{ SC_(-17.8754024505615234375), SC_(-4.700545068020732462956282791568579773556) }}, 
+      {{ SC_(-17.8096714019775390625), SC_(-1.704910040367315348529245955199242558161) }}, 
+      {{ SC_(-17.654216766357421875), SC_(1.245525979337004465966586338242325823861) }}, 
+      {{ SC_(-16.9171390533447265625), SC_(-8.936978387990812220163335657856867859665) }}, 
+      {{ SC_(-16.4991436004638671875), SC_(2.841759414051282631909664692084257003501) }}, 
+      {{ SC_(-15.9282741546630859375), SC_(-10.90604642089629536174323573315025319791) }}, 
+      {{ SC_(-15.1532230377197265625), SC_(8.7652341843566231062515337784346464505) }}, 
+      {{ SC_(-15.0870685577392578125), SC_(13.94393218121241823357181745576517766981) }}, 
+      {{ SC_(-12.7571163177490234375), SC_(-0.7005285484888729861556721133426365160483) }}, 
+      {{ SC_(-12.32425594329833984375), SC_(4.486877647992933354241229013873681135288) }}, 
+      {{ SC_(-12.15693378448486328125), SC_(8.38572290746722802141392801697704201607) }}, 
+      {{ SC_(-10.90967655181884765625), SC_(-8.337781110433724243601733849861559188948) }}, 
+      {{ SC_(-9.42080593109130859375), SC_(3.093207549574642835823398326728433769791) }}, 
+      {{ SC_(-9.26352691650390625), SC_(5.164408378967561819557747661923746174341) }}, 
+      {{ SC_(-8.66241455078125), SC_(0.4573363030846697184753722937434504783991) }}, 
+      {{ SC_(-8.42644596099853515625), SC_(2.928692490941547323611393715468003596111) }}, 
+      {{ SC_(-8.28063488006591796875), SC_(4.761502420123261711232867499795716416469) }}, 
+      {{ SC_(-7.91252231597900390625), SC_(-9.011928670506620642435146780806294048492) }}, 
+      {{ SC_(-7.073635101318359375), SC_(15.36275862317279916670563199810883722471) }}, 
+      {{ SC_(-6.600677967071533203125), SC_(0.9328456790163266794082601288835098544981) }}, 
+      {{ SC_(-6.59893131256103515625), SC_(0.9516512759861559819594253210068193102636) }}, 
+      {{ SC_(-5.9925975799560546875), SC_(-133.1949549912806814878528595454864731658) }}, 
+      {{ SC_(-4.9777927398681640625), SC_(-43.25515309581336581959034619574585012987) }}, 
+      {{ SC_(-4.4982433319091796875), SC_(1.628080704179537179987368246302687190569) }}, 
+      {{ SC_(-4.28330326080322265625), SC_(4.11144188155776750659420254650051070116) }}, 
+      {{ SC_(-4.24931621551513671875), SC_(4.714952991490022604296929488005221371491) }}, 
+      {{ SC_(-4.0708599090576171875), SC_(15.40013806764590763994801524236096523633) }}, 
+      {{ SC_(-4.05075550079345703125), SC_(21.05232398567253746583677948874966443745) }}, 
+      {{ SC_(-4.0256023406982421875), SC_(40.48643215403911174179393965158605983731) }}, 
+      {{ SC_(-3.5111486911773681640625), SC_(1.281561880048097406180157051598176902444) }}, 
+      {{ SC_(-3.5033643245697021484375), SC_(1.356501581084328750160720447675663936527) }}, 
+      {{ SC_(-3.2305061817169189453125), SC_(4.871536212360443209892217244039906620205) }}, 
+      {{ SC_(-3.1132221221923828125), SC_(9.744280495465310545518498968361342433867) }}, 
+      {{ SC_(-2.9407203197479248046875), SC_(-15.4345615314581643435197891745342605011) }}, 
+      {{ SC_(-1.8890321254730224609375), SC_(-7.765572445501014244464453609042267110197) }}, 
+      {{ SC_(-1.2540400028228759765625), SC_(3.637637081727820317005755368640064000683) }}, 
+      {{ SC_(-1.1478424072265625), SC_(6.784401313345897445876900487443690652634) }}, 
+      {{ SC_(-0.7118701934814453125), SC_(-2.248647256037530489173954985789306442878) }}, 
+      {{ SC_(-0.593149662017822265625), SC_(-0.8263747473361177168793211424797478169291) }}, 
+      {{ SC_(-0.3538668155670166015625), SC_(1.443172070386911802413212733069332368731) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_root_data.ipp b/src/boost/libs/math/test/digamma_root_data.ipp
new file mode 100644
index 00000000..f56bd8f5
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_root_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> digamma_root_data = { {
+      {{ SC_(1.39999997615814208984375), SC_(-0.06138456903152256550686860248931989075643) }}, 
+      {{ SC_(1.4005000591278076171875), SC_(-0.06087192929516339380130503872301167293378) }}, 
+      {{ SC_(1.40100002288818359375), SC_(-0.06035965880979232302674791723368356347747) }}, 
+      {{ SC_(1.4014999866485595703125), SC_(-0.05984763511635311349827564040488766194063) }}, 
+      {{ SC_(1.401999950408935546875), SC_(-0.0593358579881174546738279942752396761834) }}, 
+      {{ SC_(1.40250003337860107421875), SC_(-0.05882420526073090100751004662830533539728) }}, 
+      {{ SC_(1.40299999713897705078125), SC_(-0.0583129206425757749570876729240439746001) }}, 
+      {{ SC_(1.40349996089935302734375), SC_(-0.05780188191118900126815738602890619172921) }}, 
+      {{ SC_(1.4040000438690185546875), SC_(-0.05729096707893393080771549505001408983822) }}, 
+      {{ SC_(1.40450000762939453125), SC_(-0.056780419503293858705549580743156540668) }}, 
+      {{ SC_(1.4049999713897705078125), SC_(-0.05627011713868186213939939894956276866569) }}, 
+      {{ SC_(1.40550005435943603515625), SC_(-0.05575993817369138452985739956960740694737) }}, 
+      {{ SC_(1.40600001811981201171875), SC_(-0.05525012561586888099905375034247029300063) }}, 
+      {{ SC_(1.40649998188018798828125), SC_(-0.05474055759601525571890189603476879643263) }}, 
+      {{ SC_(1.40699994564056396484375), SC_(-0.05423123389038862937136671914178719811082) }}, 
+      {{ SC_(1.4075000286102294921875), SC_(-0.05372203292179596750107248206039107172611) }}, 
+      {{ SC_(1.40799999237060546875), SC_(-0.05321319723270065414202667836306539722927) }}, 
+      {{ SC_(1.4084999561309814453125), SC_(-0.05270460518832646256646398238653334023619) }}, 
+      {{ SC_(1.40900003910064697265625), SC_(-0.05219613538658003557049855371629116390416) }}, 
+      {{ SC_(1.40950000286102294921875), SC_(-0.05168803002221822433984269085445887545932) }}, 
+      {{ SC_(1.40999996662139892578125), SC_(-0.05118016763572077571206202324130731620467) }}, 
+      {{ SC_(1.410500049591064453125), SC_(-0.05067242699961275111564488922723020894775) }}, 
+      {{ SC_(1.4110000133514404296875), SC_(-0.05016504996189404179318756205383368841508) }}, 
+      {{ SC_(1.41149997711181640625), SC_(-0.04965791523781849836663795623050040651275) }}, 
+      {{ SC_(1.41200006008148193359375), SC_(-0.04915090177405025431768617393574718923719) }}, 
+      {{ SC_(1.41250002384185791015625), SC_(-0.04864425107277807126795345488864174180773) }}, 
+      {{ SC_(1.41299998760223388671875), SC_(-0.04813784202354994896630230505781776120276) }}, 
+      {{ SC_(1.41349995136260986328125), SC_(-0.04763167440643069181645608937840354367671) }}, 
+      {{ SC_(1.414000034332275390625), SC_(-0.04712562739952290889837033293650476187953) }}, 
+      {{ SC_(1.4144999980926513671875), SC_(-0.04661994204540782942709091596942293402734) }}, 
+      {{ SC_(1.41499996185302734375), SC_(-0.04611449746527775349715574804732130222007) }}, 
+      {{ SC_(1.41550004482269287109375), SC_(-0.04560917301026328003252147788241984436241) }}, 
+      {{ SC_(1.41600000858306884765625), SC_(-0.0451042093793269736581833678634701785191) }}, 
+      {{ SC_(1.41649997234344482421875), SC_(-0.04459948586684279443839061743784846261709) }}, 
+      {{ SC_(1.4170000553131103515625), SC_(-0.04409488199649628730133723954943974407746) }}, 
+      {{ SC_(1.417500019073486328125), SC_(-0.0435906381245648444628637002942433530947) }}, 
+      {{ SC_(1.4179999828338623046875), SC_(-0.04308663371813044418132048918710682813622) }}, 
+      {{ SC_(1.41849994659423828125), SC_(-0.04258286856012920630307449298163993137931) }}, 
+      {{ SC_(1.41900002956390380859375), SC_(-0.0420792224035827733504570446125334946695) }}, 
+      {{ SC_(1.41949999332427978515625), SC_(-0.04157593514930978152490152156879729835277) }}, 
+      {{ SC_(1.41999995708465576171875), SC_(-0.04107288649393147397031813049746661830252) }}, 
+      {{ SC_(1.4205000400543212890625), SC_(-0.04056995636192793782845393152872471220703) }}, 
+      {{ SC_(1.421000003814697265625), SC_(-0.04006738431359655642636465412836862063583) }}, 
+      {{ SC_(1.4214999675750732421875), SC_(-0.03956505021716870619391607561977829898393) }}, 
+      {{ SC_(1.42200005054473876953125), SC_(-0.0390628341681160707895772877982347062534) }}, 
+      {{ SC_(1.42250001430511474609375), SC_(-0.03856097538713614221174291451172868720556) }}, 
+      {{ SC_(1.42299997806549072265625), SC_(-0.03805935391360299407483745199209552218662) }}, 
+      {{ SC_(1.42349994182586669921875), SC_(-0.03755796953327570443031191372677272436563) }}, 
+      {{ SC_(1.4240000247955322265625), SC_(-0.03705670256888721277125707475995514593767) }}, 
+      {{ SC_(1.424499988555908203125), SC_(-0.03655579178977111826937882476062071563405) }}, 
+      {{ SC_(1.4249999523162841796875), SC_(-0.0360551174627633043738925866730974379965) }}, 
+      {{ SC_(1.42550003528594970703125), SC_(-0.03555456008050613945891518063349475611711) }}, 
+      {{ SC_(1.42599999904632568359375), SC_(-0.03505435807486918460538076814912383388358) }}, 
+      {{ SC_(1.42649996280670166015625), SC_(-0.03455439188274749223938775275471736825604) }}, 
+      {{ SC_(1.4270000457763671875), SC_(-0.03405454216623210245980763665400513878778) }}, 
+      {{ SC_(1.4275000095367431640625), SC_(-0.03355504702063797243050550756083487574355) }}, 
+      {{ SC_(1.427999973297119140625), SC_(-0.03305578705245798813618865616700236433431) }}, 
+      {{ SC_(1.42850005626678466796875), SC_(-0.03255664309277291143229018160781330281834) }}, 
+      {{ SC_(1.42900002002716064453125), SC_(-0.03205785290124899051424545775403784997954) }}, 
+      {{ SC_(1.42949998378753662109375), SC_(-0.03155929725351741957783226833498005852699) }}, 
+      {{ SC_(1.42999994754791259765625), SC_(-0.03106097593893646101388889322754816060391) }}, 
+      {{ SC_(1.430500030517578125), SC_(-0.03056277001319123536849588910788667969385) }}, 
+      {{ SC_(1.4309999942779541015625), SC_(-0.03006491678982831278985395858099735606325) }}, 
+      {{ SC_(1.431499958038330078125), SC_(-0.02956729726928046744375226173805018083445) }}, 
+      {{ SC_(1.43200004100799560546875), SC_(-0.029069792675158646894282928074400495447) }}, 
+      {{ SC_(1.43250000476837158203125), SC_(-0.02857263998746077965589217391685781750225) }}, 
+      {{ SC_(1.43299996852874755859375), SC_(-0.02807572037469272194244519088403794652932) }}, 
+      {{ SC_(1.4335000514984130859375), SC_(-0.02757891522793825630459486913227966938778) }}, 
+      {{ SC_(1.4340000152587890625), SC_(-0.02708246119454089526602248424490897334451) }}, 
+      {{ SC_(1.4344999790191650390625), SC_(-0.02658623961062601916105249666629939819311) }}, 
+      {{ SC_(1.434999942779541015625), SC_(-0.02609025026826734736532129982459892559412) }}, 
+      {{ SC_(1.43550002574920654296875), SC_(-0.02559437478113976107312669529902398957573) }}, 
+      {{ SC_(1.43599998950958251953125), SC_(-0.0250988493544413555894730759899566827115) }}, 
+      {{ SC_(1.43649995326995849609375), SC_(-0.02460355554708331611314729590329885967853) }}, 
+      {{ SC_(1.4370000362396240234375), SC_(-0.02410837513916324870453956495027706651788) }}, 
+      {{ SC_(1.4375), SC_(-0.02361354400529789914172989421521805262163) }}, 
+      {{ SC_(1.4379999637603759765625), SC_(-0.02311894387096655710370815673046310749581) }}, 
+      {{ SC_(1.43850004673004150390625), SC_(-0.02262445668224241951726505286548155427726) }}, 
+      {{ SC_(1.43900001049041748046875), SC_(-0.02213031798404363285679840262837603735113) }}, 
+      {{ SC_(1.43949997425079345703125), SC_(-0.02163640966796990067907296550632756430219) }}, 
+      {{ SC_(1.440000057220458984375), SC_(-0.02114261384562461502572001614025897932072) }}, 
+      {{ SC_(1.4405000209808349609375), SC_(-0.02064916573310666785738104392419687958556) }}, 
+      {{ SC_(1.4409999847412109375), SC_(-0.02015594738769022700601666231128218163721) }}, 
+      {{ SC_(1.4414999485015869140625), SC_(-0.0196629586049117094653247721121789058042) }}, 
+      {{ SC_(1.44200003147125244140625), SC_(-0.0191700817163872207492164657910951176529) }}, 
+      {{ SC_(1.44249999523162841796875), SC_(-0.01867755150116066387436310533382643774849) }}, 
+      {{ SC_(1.44299995899200439453125), SC_(-0.01818525023671041840942493794786294366844) }}, 
+      {{ SC_(1.443500041961669921875), SC_(-0.01769306041915025068329883160626130368828) }}, 
+      {{ SC_(1.4440000057220458984375), SC_(-0.01720121650074344257459977191565623298452) }}, 
+      {{ SC_(1.444499969482421875), SC_(-0.01670960092360902193107619746814218063958) }}, 
+      {{ SC_(1.44500005245208740234375), SC_(-0.01621809634791875134279906903350577844016) }}, 
+      {{ SC_(1.44550001621246337890625), SC_(-0.015726936900023407129612092249722223488) }}, 
+      {{ SC_(1.44599997997283935546875), SC_(-0.01523600518624245606690212546401818985812) }}, 
+      {{ SC_(1.44649994373321533203125), SC_(-0.01474530100472522827513829838650753549117) }}, 
+      {{ SC_(1.447000026702880859375), SC_(-0.01425470723370217219431406682491211640879) }}, 
+      {{ SC_(1.4474999904632568359375), SC_(-0.01376445756632729291905843124879046109968) }}, 
+      {{ SC_(1.4479999542236328125), SC_(-0.01327443482716782005100353254837490055862) }}, 
+      {{ SC_(1.44850003719329833984375), SC_(-0.01278452205749292497551903285885539659936) }}, 
+      {{ SC_(1.44900000095367431640625), SC_(-0.01229495262655675620536025426734759387572) }}, 
+      {{ SC_(1.44949996471405029296875), SC_(-0.01180560952210644817133945874679139627505) }}, 
+      {{ SC_(1.4500000476837158203125), SC_(-0.01131637594801586656260394588481713457627) }}, 
+      {{ SC_(1.450500011444091796875), SC_(-0.01082748495049637469227173996198819829549) }}, 
+      {{ SC_(1.4509999752044677734375), SC_(-0.01033881968004044725477451816247304271862) }}, 
+      {{ SC_(1.45150005817413330078125), SC_(-0.009850263502694288097376018889413894603933) }}, 
+      {{ SC_(1.45200002193450927734375), SC_(-0.009362049142480268951706194627385896301701) }}, 
+      {{ SC_(1.45249998569488525390625), SC_(-0.008874059912203315333901183590153038939381) }}, 
+      {{ SC_(1.45299994945526123046875), SC_(-0.008386295613345236665485880245372577446211) }}, 
+      {{ SC_(1.4535000324249267578125), SC_(-0.007898639827508066919974235979462981148542) }}, 
+      {{ SC_(1.453999996185302734375), SC_(-0.007411324850459837999980330364290265721957) }}, 
+      {{ SC_(1.4544999599456787109375), SC_(-0.006924234210747293687116178727328347532758) }}, 
+      {{ SC_(1.45500004291534423828125), SC_(-0.006437251651142443774260894146878774165176) }}, 
+      {{ SC_(1.45550000667572021484375), SC_(-0.005950609147203835378592212115736517701905) }}, 
+      {{ SC_(1.45599997043609619140625), SC_(-0.005464190388787066551639512688711491505847) }}, 
+      {{ SC_(1.45650005340576171875), SC_(-0.00497787927940728167871412685817772062165) }}, 
+      {{ SC_(1.4570000171661376953125), SC_(-0.004491907475256527500473978270689662215921) }}, 
+      {{ SC_(1.457499980926513671875), SC_(-0.004006158827071890461464755144012668001093) }}, 
+      {{ SC_(1.4579999446868896484375), SC_(-0.003520633138850239630378016887483403867021) }}, 
+      {{ SC_(1.45850002765655517578125), SC_(-0.003035214527765513668034604216830692388851) }}, 
+      {{ SC_(1.45899999141693115234375), SC_(-0.002550134225501944697075651923125347621858) }}, 
+      {{ SC_(1.45949995517730712890625), SC_(-0.002065276296639069833107196292495616468625) }}, 
+      {{ SC_(1.46000003814697265625), SC_(-0.001580525018104361453955140711216969645092) }}, 
+      {{ SC_(1.4605000019073486328125), SC_(-0.001096111304170043846745287256190494732511) }}, 
+      {{ SC_(1.460999965667724609375), SC_(-0.0006119193793063274064283424010699749479896) }}, 
+      {{ SC_(1.46150004863739013671875), SC_(-0.0001278336797728010038687456086772293940197) }}, 
+      {{ SC_(1.46200001239776611328125), SC_(0.0003559151967379670943728162750581078035161) }}, 
+      {{ SC_(1.46249997615814208984375), SC_(0.0008394428662870266119150633759096763287959) }}, 
+      {{ SC_(1.4630000591278076171875), SC_(0.001322864733702479649625580945291659569672) }}, 
+      {{ SC_(1.46350002288818359375), SC_(0.001805950517042218036842926190553563525984) }}, 
+      {{ SC_(1.4639999866485595703125), SC_(0.002288815673318872744259324682705288271519) }}, 
+      {{ SC_(1.464499950408935546875), SC_(0.002771460395327381562525270989780009242693) }}, 
+      {{ SC_(1.46500003337860107421875), SC_(0.003253999876667223767472091225924873652768) }}, 
+      {{ SC_(1.46549999713897705078125), SC_(0.003736204255104145549500401970100669234964) }}, 
+      {{ SC_(1.46599996089935302734375), SC_(0.004218188776241473723916466805139222942859) }}, 
+      {{ SC_(1.4665000438690185546875), SC_(0.004700068475739702789490158181882191908657) }}, 
+      {{ SC_(1.46700000762939453125), SC_(0.005181613805192456365413438059635728009745) }}, 
+      {{ SC_(1.4674999713897705078125), SC_(0.005662939852129155621931915752726712941002) }}, 
+      {{ SC_(1.46800005435943603515625), SC_(0.006144161494685809209920008019685283315534) }}, 
+      {{ SC_(1.46850001811981201171875), SC_(0.006625049497465130483020027415596322710511) }}, 
+      {{ SC_(1.46899998188018798828125), SC_(0.007105718790337639298786852855563148822142) }}, 
+      {{ SC_(1.46949994564056396484375), SC_(0.007586169563676627501200448950668213028167) }}, 
+      {{ SC_(1.4700000286102294921875), SC_(0.008066516486231662885434708649134127678999) }}, 
+      {{ SC_(1.47049999237060546875), SC_(0.008546530738674327360836097967927454942833) }}, 
+      {{ SC_(1.4709999561309814453125), SC_(0.00902632704131026480217858186061492831619) }}, 
+      {{ SC_(1.47150003910064697265625), SC_(0.009506019906325596650154195641432409630907) }}, 
+      {{ SC_(1.47200000286102294921875), SC_(0.009985380825502499855688695923101130679945) }}, 
+      {{ SC_(1.47249996662139892578125), SC_(0.01046452436244992624581900727741018711986) }}, 
+      {{ SC_(1.473000049591064453125), SC_(0.01094356487319982808059040901671966801919) }}, 
+      {{ SC_(1.4735000133514404296875), SC_(0.01142227415983642922640932055783984854239) }}, 
+      {{ SC_(1.47399997711181640625), SC_(0.01190076662968176394047411758437134448755) }}, 
+      {{ SC_(1.47450006008148193359375), SC_(0.01237915648302134259978832581154852202161) }}, 
+      {{ SC_(1.47500002384185791015625), SC_(0.01285721583143592736486164760948599640939) }}, 
+      {{ SC_(1.47549998760223388671875), SC_(0.01333505892636885712587736290231507253031) }}, 
+      {{ SC_(1.47599995136260986328125), SC_(0.01381268595510390028319865656189032981603) }}, 
+      {{ SC_(1.476500034332275390625), SC_(0.01429021091090032875378729920511744436802) }}, 
+      {{ SC_(1.4769999980926513671875), SC_(0.01476740631674500824066000704296476101248) }}, 
+      {{ SC_(1.47749996185302734375), SC_(0.01524438621687947040773770812918073015903) }}, 
+      {{ SC_(1.47800004482269287109375), SC_(0.01572126444976191365504766913460853166159) }}, 
+      {{ SC_(1.47850000858306884765625), SC_(0.01619781384600798034797161476617322052959) }}, 
+      {{ SC_(1.47899997234344482421875), SC_(0.01667414829492702066558118850104769852234) }}, 
+      {{ SC_(1.4795000553131103515625), SC_(0.01715038148057877526958196636506777091166) }}, 
+      {{ SC_(1.480000019073486328125), SC_(0.01762628654041217983419823745186174695842) }}, 
+      {{ SC_(1.4804999828338623046875), SC_(0.01810197720920750584264288401814595315433) }}, 
+      {{ SC_(1.48099994659423828125), SC_(0.01857745367191608501032749919254492077255) }}, 
+      {{ SC_(1.48150002956390380859375), SC_(0.01905282940736078826428345835701187921344) }}, 
+      {{ SC_(1.48199999332427978515625), SC_(0.01952787796086124235035667894483836618612) }}, 
+      {{ SC_(1.48249995708465576171875), SC_(0.02000271286178744470899885416201568506841) }}, 
+      {{ SC_(1.4830000400543212890625), SC_(0.02047744743549734724595413353304339596842) }}, 
+      {{ SC_(1.483500003814697265625), SC_(0.02095185553229931162465762694540459626532) }}, 
+      {{ SC_(1.4839999675750732421875), SC_(0.02142605052796892258114323238639681979697) }}, 
+      {{ SC_(1.48450005054473876953125), SC_(0.02190014559479680012423194248738781677386) }}, 
+      {{ SC_(1.48500001430511474609375), SC_(0.02237391488729442162211914583054893402186) }}, 
+      {{ SC_(1.48549997806549072265625), SC_(0.02284747162804102549936129615381098290523) }}, 
+      {{ SC_(1.48600006103515625), SC_(0.02332092883665599429697089795154616828867) }}, 
+      {{ SC_(1.4865000247955322265625), SC_(0.02379406097107123019383531656762472857036) }}, 
+      {{ SC_(1.486999988555908203125), SC_(0.02426698110106619670748667123423481731356) }}, 
+      {{ SC_(1.4874999523162841796875), SC_(0.02473968940861605188874507129358473978676) }}, 
+      {{ SC_(1.48800003528594970703125), SC_(0.02521229871039613408736493282176431879518) }}, 
+      {{ SC_(1.48849999904632568359375), SC_(0.02568458386767842754083514014266512257621) }}, 
+      {{ SC_(1.48899996280670166015625), SC_(0.02615665774712770972822278823384134472911) }}, 
+      {{ SC_(1.4895000457763671875), SC_(0.02662863301366652729705485156514156921969) }}, 
+      {{ SC_(1.4900000095367431640625), SC_(0.02710028483017233972822145485920594582439) }}, 
+      {{ SC_(1.490499973297119140625), SC_(0.02757172591142969944611182410222535997026) }}, 
+      {{ SC_(1.49100005626678466796875), SC_(0.02804306877099953245333159632753441304838) }}, 
+      {{ SC_(1.49150002002716064453125), SC_(0.02851408887259174195648360999928964786226) }}, 
+      {{ SC_(1.49199998378753662109375), SC_(0.02898489877950229580989209771050696266479) }}, 
+      {{ SC_(1.49249994754791259765625), SC_(0.02945549867145914132386877573515702816588) }}, 
+      {{ SC_(1.493000030517578125), SC_(0.02992600086081766434888226036243716094018) }}, 
+      {{ SC_(1.4934999942779541015625), SC_(0.03039618121119222213671842099543294002594) }}, 
+      {{ SC_(1.493999958038330078125), SC_(0.03086615208450468685425685392189632212515) }}, 
+      {{ SC_(1.49450004100799560546875), SC_(0.03133602564265587447963502512063650812183) }}, 
+      {{ SC_(1.49500000476837158203125), SC_(0.0318055780482999943002748605694401059607) }}, 
+      {{ SC_(1.49549996852874755859375), SC_(0.03227492151277847133068637874480248065187) }}, 
+      {{ SC_(1.4960000514984130859375), SC_(0.03274416804792387851799905190703885999517) }}, 
+      {{ SC_(1.4965000152587890625), SC_(0.03321309411466675105852178534017282410089) }}, 
+      {{ SC_(1.4969999790191650390625), SC_(0.0336818117741548556801742840271873983606) }}, 
+      {{ SC_(1.49750006198883056640625), SC_(0.03415043288853741106672780407819814754177) }}, 
+      {{ SC_(1.49800002574920654296875), SC_(0.03461873421626057425769027729390348592731) }}, 
+      {{ SC_(1.49849998950958251953125), SC_(0.03508682766866380229344336380060751609967) }}, 
+      {{ SC_(1.49899995326995849609375), SC_(0.03555471342260717737839815920297809359884) }}, 
+      {{ SC_(1.4995000362396240234375), SC_(0.03602250314126230243963242841830489771559) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_small_data.ipp b/src/boost/libs/math/test/digamma_small_data.ipp
new file mode 100644
index 00000000..e4b92452
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_small_data.ipp
@@ -0,0 +1,40 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 33> digamma_small_data = { {
+      {{ SC_(0.1690093176520690576580818742513656616211e-8), SC_(-591683355.0172646248558707395909205014789) }}, 
+      {{ SC_(0.2114990849122477811761200428009033203125e-8), SC_(-472815285.0570071002693788265718597340393) }}, 
+      {{ SC_(0.7099628440698779741069301962852478027344e-8), SC_(-140852442.1314070676912450420112690472767) }}, 
+      {{ SC_(0.136718796284185373224318027496337890625e-7), SC_(-73142832.95860873836229194739144163160831) }}, 
+      {{ SC_(0.1679341288252089725574478507041931152344e-7), SC_(-59547157.96538602413887273326920747232618) }}, 
+      {{ SC_(0.586768322818898013792932033538818359375e-7), SC_(-17042502.04007390142270552503694442817772) }}, 
+      {{ SC_(0.1140460881288163363933563232421875e-6), SC_(-8768385.503057815514505383587592316839882) }}, 
+      {{ SC_(0.1455586016163579188287258148193359375e-6), SC_(-6870085.813645861903628134604185829717845) }}, 
+      {{ SC_(0.38918477685001562349498271942138671875e-6), SC_(-2569474.152450422201931296992216788786447) }}, 
+      {{ SC_(0.623782625552848912775516510009765625e-6), SC_(-1603123.137920326054732670974252040029471) }}, 
+      {{ SC_(0.104669607026153244078159332275390625e-5), SC_(-955387.7506368215484908190151041836664367) }}, 
+      {{ SC_(0.2951089072666945867240428924560546875e-5), SC_(-338858.5294366592361422006155767583415332) }}, 
+      {{ SC_(0.4877083483734168112277984619140625e-5), SC_(-205041.1518328576044816818799248254570363) }}, 
+      {{ SC_(0.9066634447663091123104095458984375e-5), SC_(-110295.0867866920189113632829333848561728) }}, 
+      {{ SC_(0.2360353755648247897624969482421875e-4), SC_(-42367.10793974013680262660975431753380722) }}, 
+      {{ SC_(0.60817910707555711269378662109375e-4), SC_(-16443.10183188331524808941398664226054956) }}, 
+      {{ SC_(0.000119476739200763404369354248046875), SC_(-8370.407052088278326658500142471452559876) }}, 
+      {{ SC_(0.0002437086659483611583709716796875), SC_(-4103.836730163294582058528454940279573003) }}, 
+      {{ SC_(0.00047970912419259548187255859375), SC_(-2085.173007504666107151589993385624082421) }}, 
+      {{ SC_(0.000960788573138415813446044921875), SC_(-1041.387348674624002438653075235083900513) }}, 
+      {{ SC_(0.00113048148341476917266845703125), SC_(-885.1541983038739901476427277144444120955) }}, 
+      {{ SC_(0.0033707791008055210113525390625), SC_(-297.2390039349243537614805191705277299023) }}, 
+      {{ SC_(0.007697627879679203033447265625), SC_(-130.474775285766139271184373586979099581) }}, 
+      {{ SC_(0.0154774188995361328125), SC_(-65.1622965036480167454852163183367159499) }}, 
+      {{ SC_(0.0305807329714298248291015625), SC_(-33.22833448837103737169827250947288832931) }}, 
+      {{ SC_(0.0346831791102886199951171875), SC_(-29.35398677269140057359817914882516787732) }}, 
+      {{ SC_(0.09283597767353057861328125), SC_(-11.20575716299454988174075282116985360081) }}, 
+      {{ SC_(0.22476322948932647705078125), SC_(-4.707226986627979845318377740205580092891) }}, 
+      {{ SC_(0.4500701129436492919921875), SC_(-2.233123888225926352977853470362332872207) }}, 
+      {{ SC_(0.64851474761962890625), SC_(-1.375098345846253151137062991270963899568) }}, 
+      {{ SC_(1.14188635349273681640625), SC_(-0.3652988540135093192143191973421561168173) }}, 
+      {{ SC_(2.0095670223236083984375), SC_(0.4289360116443062870701048575669258219731) }}, 
+      {{ SC_(5.68704509735107421875), SC_(1.647702940606041030337068005600358865775) }}
+   } };
diff --git a/src/boost/libs/math/test/e_float_concept_check.cpp b/src/boost/libs/math/test/e_float_concept_check.cpp
new file mode 100644
index 00000000..74149fbc
--- /dev/null
+++ b/src/boost/libs/math/test/e_float_concept_check.cpp
@@ -0,0 +1,40 @@
+
+//  Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that e_float meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#define E_FLOAT_TYPE_EFX
+
+#include <boost/math/bindings/e_float.hpp>
+
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(boost::math::ef::e_float());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<boost::math::ef::e_float>));
+}
+
+
diff --git a/src/boost/libs/math/test/ellint_d2_data.ipp b/src/boost/libs/math/test/ellint_d2_data.ipp
new file mode 100644
index 00000000..6181005a
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_d2_data.ipp
@@ -0,0 +1,912 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 900> ellint_d2_data = {{
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.8732233320862771639280819567039935203140e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.8732233320862771686912327739413416253147e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.8732233320862773040094892394481766236413e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.8732233320862777061962311270009485876061e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.8732233320862779863639076277990913817347e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.8732233320862872988029644567747349940542e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.8732233320863154738199654417598345858119e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.8732233320863395751553299211683365778187e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.8732233320867233837916108266938568745684e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.8732233320874234918936314457509845665294e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.8732233320895048075961800643068367799212e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.8732233321119343970604024759286096900163e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.8732233321563526074010427269286136824309e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.8732233323284567598867407494011434890031e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.8732233337276210668971915341274684374079e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(-7.8732233429833165735721604834460196035801e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(-7.8732233741407456045279716007492903731599e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(-7.8732235070659049826721771893117827793630e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(-7.8732240100423384592953702904358834225824e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(-7.8732260516631005030439216215704935088944e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(-7.8732270971523503035692113472253819905238e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(-7.8732568061991404297875494369487831261691e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(-7.8733979043836641416900536713300906266451e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(-7.8739291742767640768396325723497092471770e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(-7.8759800674545974072460670879983596961217e+00) }}, 
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+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.4247722552474870250323447984337046362725e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.4247724147120023132063793625258371133468e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.4247730181108889021945234830645307443669e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.4247754673542586277514754920567142196631e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.4247767215821060416137599548081918747088e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.4248123622296519979388287873892847975299e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.4249816315685566487104406464964283639616e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.4256189729142507566744347546634240590998e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.4280793404490386581592725535513322240781e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.4290268817448517037292655459964361580191e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.4553976696436256506923240072221388916256e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.6091730745720840965751961378281053066292e+00) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0247279798290689106503000903555377886952e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1483001231499698630315369373375904196003e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(9.4446643087556620575632109457720174042481e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(9.4446643087556620632787954338688988701362e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(9.4446643087556622256551209559643062184928e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(9.4446643087556627082626199526048170658002e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(9.4446643087556630444522740947934166861832e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(9.4446643087556742189949795115028521127597e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.4446643087557080278530866116690553029335e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.4446643087557369484612800630952375372503e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.4446643087561975029916942634646142560160e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.4446643087570376038328053382259527862068e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.4446643087595350968160779214909989135012e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.4446643087864496788931674946690258695747e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.4446643088397496989331034704732617811403e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.4446643090462675821637787039541494589690e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.4446643107252070313425428546493484894575e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.4446643218316598173971002418367974424180e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.4446643592192893280790700347293300277721e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.4446645187239970671589587113303344134733e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.4446651222749681322915500983923125232215e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.4446675721356603747866167372900738103194e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.4446688266796309876378451516545267691378e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.4447044763102109281577015220680656575534e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.4448737883111953821606853033028368320740e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.4455112902702871403796733601903653719889e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.4479722775344934246590390378767424782094e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.4489200573761935617153062358948497113145e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.4752974562993978022477085479470007660241e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.6291103626986495537946117037922160698815e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0267355316567780317788733241099718655876e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1503281067912779764273515689185898594968e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(9.6108406973889338055844671579084295261597e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(9.6108406973889338113535704558978826239277e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(9.6108406973889339752503332516910712236510e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(9.6108406973889344623768064749081539292232e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(9.6108406973889348017144274130308908468793e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(9.6108406973889460808917905682617365801205e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.6108406973889802063246685404255683482402e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.6108406973890093977357055341454431376106e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.6108406973894742647437691736668633829110e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.6108406973903222320064683888585293637160e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.6108406973928431106736475087645094755318e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.6108406974200097118407387026540657056288e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.6108406974738088153332420512016215417344e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.6108406976822604625306133961826174941486e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.6108406993769209357571737849968725766955e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.6108407105873708083249519954553738032763e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.6108407483250854991916492068365073384396e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.6108409093233416164715567647785185702091e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.6108415185257603954022309398094749087866e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.6108439913261158991419174058046461602226e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.6108452576172063862029464960665002526608e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.6108812410576712057507039833669631628670e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.6110521384058281672529762052450355196936e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.6116956091860575202038780621473066344686e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.6141796322202144275858191569455719714466e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.6151362810845327314537762056932361448658e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.6417599421159483793971631218230031812243e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.7969871367883594180454529616663577226964e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0440717922431910758288156431279958593266e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1685666518693880867708987478704867925187e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(9.7037884508903213882929851769049358839975e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(9.7037884508903213941110367135676132683908e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(9.7037884508903215593983895974067479601679e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(9.7037884508903220506579111721216650275154e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(9.7037884508903223928746587270744318168159e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(9.7037884508903337677507530528421825718405e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.7037884508903681827225328366973671008911e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.7037884508903976218095223731494824765825e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.7037884508908664330044182949358841675651e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.7037884508917215948867694314283391601802e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.7037884508942638620721105162237491820551e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.7037884509216609595935188150740736746088e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.7037884509759165242069493989180921991259e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.7037884511861367895849411368335869294642e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.7037884528951756923562620178125231568078e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.7037884642007411742909681304118303685862e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.7037885022586433476630918901822530697264e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.7037886646228970182664942687338933229896e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.7037892789941232733647420257807653452696e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.7037917727750709683579317258388292040361e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.7037930498100669383100334038643335965433e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.7038293385532813090566554404190669072476e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.7040016858748458327704247706248667993220e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.7046506159993990770373472738156154701166e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.7071557115847027366419558336421844257613e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.7081204748947710715456692851594495500141e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.7349697316093177706242812847197284550031e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.8915033186482039632092471512404270101860e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0540483903359546719391352849008609099627e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1794772549994821404136319306287886692241e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_d_data.ipp b/src/boost/libs/math/test/ellint_d_data.ipp
new file mode 100644
index 00000000..9ad4bed5
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_d_data.ipp
@@ -0,0 +1,137 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 125> ellint_d_data = {{
+      {{ SC_(4.2663944255221095139880438282681452852288e-38), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.3389875064733255949510523157465792097624e-38), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.7921979577002392819066727539424713436648e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.4512676287190265187195015459442674743531e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.2392520589952778292218109035283862521189e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.4812114889405784468736366861690401420283e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8789280101828269933933538688473339212905e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.6744156874811116796026560527902602218215e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.8244035367228782653000869911025384279908e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.5746487252952314973384428880024117913426e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.6422323503289224196086060608918729266077e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.4495944292904732914191517413498144464379e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2311489573814341319544204090949106338265e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.2887398472838038330057192707706355128408e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.9583696426770119981069373748330312185926e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.5352599070212180792552619578916321967917e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.0160165490986222703441684853142834449242e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(6.1520716425673394852833344239683595628531e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2109560766507188663653833967088977743043e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.4253710454287323137229648006785720065155e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8537358805477591602206220040490736095836e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(8.5090415533424860056332294220983720100606e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.9431542280109646674527422453175374400060e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.9070498187433184335260912530870539605481e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.7196613617370549464919805877629024811367e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(8.7552624808566836627123737271634031453295e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.3435091721496148991987689601065306730589e-30), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.6738212134529469261911252184933164143771e-30), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.1361364677759652907835274279827550435899e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.6370813787404687038594586907284681504629e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8825261069960082390223924268185054462807e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.0728585475046610081875684612374186273238e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.4356117731880643485071258941326014885980e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.2466040208825159779152839659481167643203e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.7375930334108261164074603103938929758309e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.3245902896893982860544095592466306731181e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8954669599230807832089351330086677837889e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(6.0695358641133080853435831456269630175939e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2662921591612033303141027402072318129946e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.9434383424000668877278074713436137825997e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.2799894931798877068802524474594217761617e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.2950716253189888176477484235223083743234e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.0709003725124171036710703499069275834027e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8150895833264416782020239716398867999003e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.6478191216527194631629231548823578349522e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.0024800996198830867522948962542556853444e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.1995228016850816982979054181734511648483e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.5631512332580644253218241905448258194378e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.1108934904826783054735703764996385817243e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.8512148375723549892841487890862966353422e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.6526990946386309210805977605064642776966e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.2149101636498941967954712901293229387889e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.8456129154033271225706145892602252911452e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.1229228616207472188092879674965046676860e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.8963094078559887344396375579401448074890e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2045551098426373231005604346952053695929e-21), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8044880122014168411000568752189376908746e-21), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.9772087853642667934593991994202122342017e-21), SC_(7.8539816339744830961566084581987572104930e-01) }}, 
+      {{ SC_(7.9362680648663837570369519042179362600109e-21), SC_(7.8539816339744830961566084581987572104931e-01) }}, 
+      {{ SC_(1.7644208367805034671488132770600376630910e-20), SC_(7.8539816339744830961566084581987572104938e-01) }}, 
+      {{ SC_(4.6242472319617178596977673937784558688691e-20), SC_(7.8539816339744830961566084581987572104992e-01) }}, 
+      {{ SC_(9.7430735069871336508356019640020306837869e-20), SC_(7.8539816339744830961566084581987572105209e-01) }}, 
+      {{ SC_(1.1187152495685138224568687392856958240372e-19), SC_(7.8539816339744830961566084581987572105298e-01) }}, 
+      {{ SC_(2.8548132929282309106075107840716498230904e-19), SC_(7.8539816339744830961566084581987572107330e-01) }}, 
+      {{ SC_(5.5377694738409134089145505197571139888169e-19), SC_(7.8539816339744830961566084581987572113961e-01) }}, 
+      {{ SC_(1.6240731797968136883997258834710919472855e-18), SC_(7.8539816339744830961566084581987572182613e-01) }}, 
+      {{ SC_(1.8148177203290916581143732422276571014663e-18), SC_(7.8539816339744830961566084581987572201933e-01) }}, 
+      {{ SC_(3.9867888681014291814633243582477462041425e-18), SC_(7.8539816339744830961566084581987572573060e-01) }}, 
+      {{ SC_(7.6128806670154353271329217278662326862104e-18), SC_(7.8539816339744830961566084581987573811873e-01) }}, 
+      {{ SC_(2.7673254601067636196387589109235705109313e-17), SC_(7.8539816339744830961566084581987594659867e-01) }}, 
+      {{ SC_(5.0611118570950902953442529508265579352155e-17), SC_(7.8539816339744830961566084581987647546899e-01) }}, 
+      {{ SC_(1.0113594566040027405984247366177442017943e-16), SC_(7.8539816339744830961566084581987873358517e-01) }}, 
+      {{ SC_(1.8816376349089212506593415952238501631655e-16), SC_(7.8539816339744830961566084581988614885980e-01) }}, 
+      {{ SC_(2.4984073224301002122405002126015460817143e-16), SC_(7.8539816339744830961566084581989410537210e-01) }}, 
+      {{ SC_(5.8490949612227411541498511837744445074350e-16), SC_(7.8539816339744830961566084581997648344709e-01) }}, 
+      {{ SC_(1.5665247555087316588817714091419475153089e-15), SC_(7.8539816339744830961566084582059848365309e-01) }}, 
+      {{ SC_(3.4642902153707300083596010153996758162975e-15), SC_(7.8539816339744830961566084582341039763841e-01) }}, 
+      {{ SC_(5.2956347396408351424490490444441093131900e-15), SC_(7.8539816339744830961566084582813528640710e-01) }}, 
+      {{ SC_(7.3501792217760264502857125989976339042187e-15), SC_(7.8539816339744830961566084583578743660656e-01) }}, 
+      {{ SC_(2.3641251987744499318822022360109258443117e-14), SC_(7.8539816339744830961566084598448794912308e-01) }}, 
+      {{ SC_(4.0891565849555944200943713440210558474064e-14), SC_(7.8539816339744830961566084631235575884229e-01) }}, 
+      {{ SC_(6.3999803720515835436799534363672137260437e-14), SC_(7.8539816339744830961566084702623990047689e-01) }}, 
+      {{ SC_(1.5706500770124032229091426415834575891495e-13), SC_(7.8539816339744830961566085308561866771197e-01) }}, 
+      {{ SC_(2.7516964401508303694754431489855051040649e-13), SC_(7.8539816339744830961566086812076559497826e-01) }}, 
+      {{ SC_(8.0286406863028236813306648400612175464630e-13), SC_(7.8539816339744830961566103566751143194592e-01) }}, 
+      {{ SC_(9.5607549654985746201418805867433547973633e-13), SC_(7.8539816339744830961566111503876275690977e-01) }}, 
+      {{ SC_(3.2654495427109075933458370855078101158142e-12), SC_(7.8539816339744830961566398637994160269438e-01) }}, 
+      {{ SC_(3.7705498445728125034293043427169322967529e-12), SC_(7.8539816339744830961566503308559563078309e-01) }}, 
+      {{ SC_(8.6356338746540473039203789085149765014648e-12), SC_(7.8539816339744830961568280972664569106292e-01) }}, 
+      {{ SC_(2.0499733854872914662337279878556728363037e-11), SC_(7.8539816339744830961578461644787487937290e-01) }}, 
+      {{ SC_(4.3357845092018010291212704032659530639648e-11), SC_(7.8539816339744830961621452287699258957483e-01) }}, 
+      {{ SC_(8.4866141891737356672820169478654861450195e-11), SC_(7.8539816339744830961778208708670070856342e-01) }}, 
+      {{ SC_(1.6828838322879846600699238479137420654297e-10), SC_(7.8539816339744830962400206292829514799691e-01) }}, 
+      {{ SC_(3.4635161405560666025849059224128723144531e-10), SC_(7.8539816339744830965099181743131229916707e-01) }}, 
+      {{ SC_(7.6662409753680549329146742820739746093750e-10), SC_(7.8539816339744830978875646714884389088037e-01) }}, 
+      {{ SC_(1.6707693006878798769321292638778686523438e-09), SC_(7.8539816339744831043781664154104751347691e-01) }}, 
+      {{ SC_(3.1839402225841695326380431652069091796875e-09), SC_(7.8539816339744831260139378868235385099709e-01) }}, 
+      {{ SC_(7.1558154957074293633922934532165527343750e-09), SC_(7.8539816339744832469698301934815598111797e-01) }}, 
+      {{ SC_(1.3073432114651950541883707046508789062500e-08), SC_(7.8539816339744835995417372517470884284573e-01) }}, 
+      {{ SC_(2.6934309005355316912755370140075683593750e-08), SC_(7.8539816339744852328038459980382086592019e-01) }}, 
+      {{ SC_(3.8028503013265435583889484405517578125000e-08), SC_(7.8539816339744873554701271019341983929008e-01) }}, 
+      {{ SC_(1.0167207165068248286843299865722656250000e-07), SC_(7.8539816339745135417536187160390378310224e-01) }}, 
+      {{ SC_(2.0023617253173142671585083007812500000000e-07), SC_(7.8539816339746011842796052724712271644288e-01) }}, 
+      {{ SC_(2.3909046831249725073575973510742187500000e-07), SC_(7.8539816339746514587762180156897968778888e-01) }}, 
+      {{ SC_(7.8921220847405493259429931640625000000000e-07), SC_(7.8539816339763175582357795854647957600375e-01) }}, 
+      {{ SC_(1.6314543245243839919567108154296875000000e-06), SC_(7.8539816339823222824983094934352376998761e-01) }}, 
+      {{ SC_(2.2175054255058057606220245361328125000000e-06), SC_(7.8539816339889658293915756912068980593900e-01) }}, 
+      {{ SC_(6.2712133512832224369049072265625000000000e-06), SC_(7.8539816340903139615883171176820699840499e-01) }}, 
+      {{ SC_(8.5372739704325795173645019531250000000000e-06), SC_(7.8539816341891472784119968987727025771167e-01) }}, 
+      {{ SC_(2.2217296645976603031158447265625000000000e-05), SC_(7.8539816354282794549663202730123168024340e-01) }}, 
+      {{ SC_(4.5726439566351473331451416015625000000000e-05), SC_(7.8539816401327133564997472904368327814099e-01) }}, 
+      {{ SC_(1.0827131336554884910583496093750000000000e-04), SC_(7.8539816685006179236394845105448892170857e-01) }}, 
+      {{ SC_(2.3922655964270234107971191406250000000000e-04), SC_(7.8539818025288287477427494950883323315577e-01) }}, 
+      {{ SC_(3.8421736098825931549072265625000000000000e-04), SC_(7.8539820687600897663945355819075486097120e-01) }}, 
+      {{ SC_(6.5448507666587829589843750000000000000000e-04), SC_(7.8539828955718157445397499256862169611659e-01) }}, 
+      {{ SC_(1.8327706493437290191650390625000000000000e-03), SC_(7.8539915272089858042522523302460312462001e-01) }}, 
+      {{ SC_(3.0962256714701652526855468750000000000000e-03), SC_(7.8540098690507738836633305012117939022168e-01) }}, 
+      {{ SC_(7.0631857961416244506835937500000000000000e-03), SC_(7.8541285725927851977195194874435983132497e-01) }}, 
+      {{ SC_(9.5610283315181732177734375000000000000000e-03), SC_(7.8542508836402941290553361622690588558840e-01) }}, 
+      {{ SC_(1.5902712941169738769531250000000000000000e-02), SC_(7.8547265927495354595996006013411494269668e-01) }}, 
+      {{ SC_(5.4727092385292053222656250000000000000000e-02), SC_(7.8628193465923633664032835233150751395515e-01) }}, 
+      {{ SC_(1.1382785439491271972656250000000000000000e-01), SC_(7.8924544782468621209125861832080985224381e-01) }}, 
+      {{ SC_(1.5688687562942504882812500000000000000000e-01), SC_(7.9276099484507970091111212677565057034603e-01) }}, 
+      {{ SC_(4.5521020889282226562500000000000000000000e-01), SC_(8.5576208914286583702013429388327762089409e-01) }}, 
+      {{ SC_(7.5297856330871582031250000000000000000000e-01), SC_(1.0569957364413754392878890709901655604171e+00) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_e2_data.ipp b/src/boost/libs/math/test/ellint_e2_data.ipp
new file mode 100644
index 00000000..bae46bca
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_e2_data.ipp
@@ -0,0 +1,532 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of test data contains in order:
+//
+// k, phi, E(k, phi)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 520> ellint_e2_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.804919183254241943359375e0), SC_(0.17721905416489978459933452744691987573693030723399e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.74602639675140380859375e0), SC_(0.17721906263793616232304803862551613935165980878975e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.72904598712921142578125e0), SC_(0.17721906496143189532808590572077500756745196250994e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.62323606014251708984375e0), SC_(0.17721907823458326176536911566374461949290266081915e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.5579319000244140625e0), SC_(0.17721908538996504890695781731051446713497872352528e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.44300353527069091796875e0), SC_(0.1772190960611723703532438177387763930589137687723e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.38366591930389404296875e0), SC_(0.17721910061149527140815880383922381002724195459473e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.9376299381256103515625e-1), SC_(0.17721911345080004258530792787497396150296565903888e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.944411754608154296875e-1), SC_(0.17721911343895994071624688564628016634872782068401e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.264718532562255859375e0), SC_(0.17721910776580442894609156234461709334349303324512e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.62944734096527099609375e0), SC_(0.17721907751280664212690267651483481595911639313105e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.67001712322235107421875e0), SC_(0.17721907262237245229946682518231598438599636326697e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.81158387660980224609375e0), SC_(0.1772190531655048767532217861236813247332269413991e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.826751708984375e0), SC_(0.17721905086031437581845682018005163376219526346493e-2) }}, 
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+      {{ SC_(0.503011474609375e3), SC_(0.93773555755615234375e0), SC_(0.35914990886887487679557974420087323548020127919695e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.98576259613037109375e0), SC_(0.33252547245143178927979205996695688705563461577588e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.99292266368865966796875e0), SC_(0.32718692844071197014439649471431843150228446330379e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.804919183254241943359375e0), SC_(0.81566217335361231611771646986187800572268739295575e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.74602639675140380859375e0), SC_(0.84755287064438863615038784712657137407744566356707e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.72904598712921142578125e0), SC_(0.85590189104276483616202632098287025738931943507153e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.62323606014251708984375e0), SC_(0.9009738212363659705854642096463530651141689117269e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.5579319000244140625e0), SC_(0.92372203670774325404806275709264270484304517663929e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.44300353527069091796875e0), SC_(0.95602114692228459835045237318476147078694497472822e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(-0.38366591930389404296875e0), SC_(0.96927625305559748266490795989045893214495805831554e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.9376299381256103515625e-1), SC_(0.10052408954500277585485462407617932594289289210602e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.944411754608154296875e-1), SC_(0.10052086262210379665209822645440559289291237665647e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.264718532562255859375e0), SC_(0.98956304231616558867754941531972183396056332288818e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.62944734096527099609375e0), SC_(0.89862442644009820675218558218153173632055069943683e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.67001712322235107421875e0), SC_(0.88241671832232838738799982334634993277048716392487e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.81158387660980224609375e0), SC_(0.81173128112196665137058131884505478065505214589458e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.826751708984375e0), SC_(0.80250834127587356001580304856418261116625810606362e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.91501367092132568359375e0), SC_(0.73912196799060491702381369566485537415592290789722e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.92977702617645263671875e0), SC_(0.7262884386240235721342337367344044620971138470138e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.93538987636566162109375e0), SC_(0.72116757185358740018078031894015653763422120624137e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.93773555755615234375e0), SC_(0.71898356440546660369364312811873716877046903540745e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.98576259613037109375e0), SC_(0.66558630336818747011593267003329852836650815741705e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.99292266368865966796875e0), SC_(0.6548786829121203110560807170365229948244134922981e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.804919183254241943359375e0), SC_(0.95992720290264897479760554571647114770157610887996e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.74602639675140380859375e0), SC_(0.99741366529362017349163653479322848619622124868772e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.72904598712921142578125e0), SC_(0.10072278878934483167286843735137660835902486784055e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.62323606014251708984375e0), SC_(0.10602110806127832608392589101187996342688647189112e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.5579319000244140625e0), SC_(0.10869529954610434278852140581154818972542686423743e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.44300353527069091796875e0), SC_(0.11249233882184205470868187837372292890877647671181e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.38366591930389404296875e0), SC_(0.11405061649275106998721240053724233425466223964298e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.9376299381256103515625e-1), SC_(0.11827870772689532014486419251476519345293661688085e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.944411754608154296875e-1), SC_(0.11827491403552705968358829702474865775810482378628e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.264718532562255859375e0), SC_(0.11643556929058415420471543503560945498245581125436e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.62944734096527099609375e0), SC_(0.10574492529652112224851625390587579547328457881061e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.67001712322235107421875e0), SC_(0.1038396462932344155293121667046538419874167990145e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.81158387660980224609375e0), SC_(0.9553066699471665679840089770219957164232252629554e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.826751708984375e0), SC_(0.94446573985220084327197598058015000573173775032994e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.91501367092132568359375e0), SC_(0.86996356635663675306873109547180307652983494815843e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.92977702617645263671875e0), SC_(0.85488052815230820219522803855058047921692647892349e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.93538987636566162109375e0), SC_(0.84886217610355647741057825617131638665389927335333e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.93773555755615234375e0), SC_(0.84629542044995161715099588574641450818752524118888e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.98576259613037109375e0), SC_(0.78354531056875687291420826162420650224843893529921e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.99292266368865966796875e0), SC_(0.77096378731739644110407751882818742444499646261653e3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_e_data.ipp b/src/boost/libs/math/test/ellint_e_data.ipp
new file mode 100644
index 00000000..03b9c710
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_e_data.ipp
@@ -0,0 +1,112 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of test data contains in order:
+//
+// k, E(k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> ellint_e_data = {{
+      {{ SC_(-0.990433037281036376953125e0), SC_(0.10274527688571687030049782227296053357094496206279e1) }}, 
+      {{ SC_(-0.936334311962127685546875e0), SC_(0.11232874555917022066938321555637623562213676975972e1) }}, 
+      {{ SC_(-0.931107819080352783203125e0), SC_(0.1130760221755419903369153157619439589360779303926e1) }}, 
+      {{ SC_(-0.928576648235321044921875e0), SC_(0.11343097282371636644057123410674810478126636794066e1) }}, 
+      {{ SC_(-0.92711746692657470703125e0), SC_(0.11363362574688624051162518398981635242155496915255e1) }}, 
+      {{ SC_(-0.907657206058502197265625e0), SC_(0.11621185270599645325148449388373607697900140479452e1) }}, 
+      {{ SC_(-0.89756715297698974609375e0), SC_(0.11746803765109846934010357339330910078574216811115e1) }}, 
+      {{ SC_(-0.80573642253875732421875e0), SC_(0.12711544492641534140326897830960020400731161482408e1) }}, 
+      {{ SC_(-0.804919183254241943359375e0), SC_(0.1271899578518333585916968732627512791380932403316e1) }}, 
+      {{ SC_(-0.780276477336883544921875e0), SC_(0.12936183519259955902237796585053994588791953787341e1) }}, 
+      {{ SC_(-0.775070965290069580078125e0), SC_(0.12980290901572191577411456044089492043970943779076e1) }}, 
+      {{ SC_(-0.7496345043182373046875e0), SC_(0.13187607273206970520631617642065752154074679201729e1) }}, 
+      {{ SC_(-0.74820673465728759765625e0), SC_(0.13198856849340247002745787630036800286336929689325e1) }}, 
+      {{ SC_(-0.74602639675140380859375e0), SC_(0.13215959480936459650266993732312887701493706168114e1) }}, 
+      {{ SC_(-0.72904598712921142578125e0), SC_(0.1334606672267782799453143920126631207219848911468e1) }}, 
+      {{ SC_(-0.7162272930145263671875e0), SC_(0.13440793050791416705713681443513787752467694981452e1) }}, 
+      {{ SC_(-0.701772034168243408203125e0), SC_(0.13544180205342472921449637366285993011101451511219e1) }}, 
+      {{ SC_(-0.68477380275726318359375e0), SC_(0.13661308406125643621284019270477708148951227020526e1) }}, 
+      {{ SC_(-0.657626628875732421875e0), SC_(0.13838947645626975911149829417421592164301145093627e1) }}, 
+      {{ SC_(-0.652269661426544189453125e0), SC_(0.13872692599655636614951215534059306447757898114989e1) }}, 
+      {{ SC_(-0.6262547969818115234375e0), SC_(0.14030728449607783731169275509403934977874920947839e1) }}, 
+      {{ SC_(-0.62323606014251708984375e0), SC_(0.14048456682760981684618618684460963872624120364616e1) }}, 
+      {{ SC_(-0.57958185672760009765625e0), SC_(0.14291386904685383227954283815576245068501134204508e1) }}, 
+      {{ SC_(-0.576151371002197265625e0), SC_(0.14309448152636963724388781094697116200713399276732e1) }}, 
+      {{ SC_(-0.5579319000244140625e0), SC_(0.14402965087704791609397947280292073414645780530405e1) }}, 
+      {{ SC_(-0.446154057979583740234375e0), SC_(0.14894386503626442042107428737827539093660806612699e1) }}, 
+      {{ SC_(-0.44300353527069091796875e0), SC_(0.14906320545924202935802686800501318065294882015735e1) }}, 
+      {{ SC_(-0.40594112873077392578125e0), SC_(0.15039335802932226988591218103108193186540888213994e1) }}, 
+      {{ SC_(-0.396173775196075439453125e0), SC_(0.15072169743011592499372913974729141564215181659934e1) }}, 
+      {{ SC_(-0.38366591930389404296875e0), SC_(0.15112892448422190697630083347423467639448624581727e1) }}, 
+      {{ SC_(-0.36689913272857666015625e0), SC_(0.15165180033802033267632053479981021035471425681416e1) }}, 
+      {{ SC_(-0.365801036357879638671875e0), SC_(0.15168513413633160947387236074965552423019640205414e1) }}, 
+      {{ SC_(-0.277411997318267822265625e0), SC_(0.15401245425176709136660196900048700278424091275112e1) }}, 
+      {{ SC_(-0.236883103847503662109375e0), SC_(0.15485231276601733576918931368003657825692622988276e1) }}, 
+      {{ SC_(-0.215545952320098876953125e0), SC_(0.15523894121876553934587790103948024781080753117537e1) }}, 
+      {{ SC_(-0.202522933483123779296875e0), SC_(0.15545635291592032109785456524323662491832287557881e1) }}, 
+      {{ SC_(-0.18253767490386962890625e0), SC_(0.15576286893796261035306290689920363346745725969978e1) }}, 
+      {{ SC_(-0.156477451324462890625e0), SC_(0.15611364139446355493431072334668884516455428910749e1) }}, 
+      {{ SC_(-0.1558246612548828125e0), SC_(0.15612172160025555618286865486857507482242942668515e1) }}, 
+      {{ SC_(-0.12251126766204833984375e0), SC_(0.15648856105816674567926606395168937481071020785374e1) }}, 
+      {{ SC_(-0.1088275909423828125e0), SC_(0.15661350376732836367309274463594953937245200605844e1) }}, 
+      {{ SC_(-0.8402168750762939453125e-1), SC_(0.15680203305860144668144643526811660961420870159842e1) }}, 
+      {{ SC_(-0.5048263072967529296875e-1), SC_(0.15697950560238758069422088665702687900822920595852e1) }}, 
+      {{ SC_(-0.29248714447021484375e-1), SC_(0.15704603238122883636275639829068215175843565484093e1) }}, 
+      {{ SC_(-0.2486217021942138671875e-1), SC_(0.1570553560549795220596952208506368318845323442966e1) }}, 
+      {{ SC_(-0.2047121524810791015625e-1), SC_(0.15706317452006442392207295085961102343692070947481e1) }}, 
+      {{ SC_(-0.18821895122528076171875e-1), SC_(0.15706571985088185541190068658162634466459956376283e1) }}, 
+      {{ SC_(0.73254108428955078125e-2), SC_(0.15707752537045378829148682574129984681356739471373e1) }}, 
+      {{ SC_(0.9376299381256103515625e-1), SC_(0.15673382012803800695565201533706558176677595081402e1) }}, 
+      {{ SC_(0.944411754608154296875e-1), SC_(0.15672879111272468454088900653008917791981439593238e1) }}, 
+      {{ SC_(0.264718532562255859375e0), SC_(0.15429050287765040115345161487328955754762740575513e1) }}, 
+      {{ SC_(0.27952671051025390625e0), SC_(0.15396478942459482760618960796407428547408640525839e1) }}, 
+      {{ SC_(0.29262602329254150390625e0), SC_(0.15366093920760526747388381843200711024138982306603e1) }}, 
+      {{ SC_(0.3109557628631591796875e0), SC_(0.15321071618558340305908384979951601020818799999842e1) }}, 
+      {{ SC_(0.31148135662078857421875e0), SC_(0.15319737203884180398267043979026904916868658518393e1) }}, 
+      {{ SC_(0.32721102237701416015625e0), SC_(0.1527867114331003738198228458599913043176805971218e1) }}, 
+      {{ SC_(0.3574702739715576171875e0), SC_(0.15193440688380299383044814920714973708033404406654e1) }}, 
+      {{ SC_(0.362719058990478515625e0), SC_(0.15177809660808721467844113827968123756890771957761e1) }}, 
+      {{ SC_(0.3896572589874267578125e0), SC_(0.15093570468318824817504413386396057198219992161732e1) }}, 
+      {{ SC_(0.4120922088623046875e0), SC_(0.15018188427341099768691902236893549315641407909401e1) }}, 
+      {{ SC_(0.41872966289520263671875e0), SC_(0.14994958178213154496366968552961386017760898588045e1) }}, 
+      {{ SC_(0.45167791843414306640625e0), SC_(0.1487322085908655313535535255202869925685698085035e1) }}, 
+      {{ SC_(0.48129451274871826171875e0), SC_(0.14754407459744073247384176419011374260929941397226e1) }}, 
+      {{ SC_(0.4862649440765380859375e0), SC_(0.14733570928853164419583523432188100088746641413847e1) }}, 
+      {{ SC_(0.50937330722808837890625e0), SC_(0.14633222267462579060234013375472616462719440305596e1) }}, 
+      {{ SC_(0.5154802799224853515625e0), SC_(0.14605730543776299802897695844262830217129367088168e1) }}, 
+      {{ SC_(0.52750003337860107421875e0), SC_(0.1455040905739579018637680781037806414611373457245e1) }}, 
+      {{ SC_(0.53103363513946533203125e0), SC_(0.14533836180900849164859243315111429017381139244939e1) }}, 
+      {{ SC_(0.58441460132598876953125e0), SC_(0.14265695055008370758871995090190851074198707889523e1) }}, 
+      {{ SC_(0.5879499912261962890625e0), SC_(0.14246715204117826383644822612160764733188324494824e1) }}, 
+      {{ SC_(0.59039986133575439453125e0), SC_(0.14233470653300894642788935610227647487095507501819e1) }}, 
+      {{ SC_(0.59455978870391845703125e0), SC_(0.14210806804871026734537311084007732025147240364441e1) }}, 
+      {{ SC_(0.59585726261138916015625e0), SC_(0.14203692855345104085630580991694310940176283484347e1) }}, 
+      {{ SC_(0.5962116718292236328125e0), SC_(0.14201745910377376893163001298577620388569425640087e1) }}, 
+      {{ SC_(0.6005609035491943359375e0), SC_(0.14177721978271857966949913233824083454479033587509e1) }}, 
+      {{ SC_(0.6150619983673095703125e0), SC_(0.1409584186264459097822607166118300162769330850531e1) }}, 
+      {{ SC_(0.62944734096527099609375e0), SC_(0.14011843899700989964492170135501929645905818746914e1) }}, 
+      {{ SC_(0.64380657672882080078125e0), SC_(0.13925155171987190379716348493447778489398983557681e1) }}, 
+      {{ SC_(0.6469156742095947265625e0), SC_(0.13906001623565653310360026300062173208737677732474e1) }}, 
+      {{ SC_(0.67001712322235107421875e0), SC_(0.13759265375091920908763740804480465836032745124162e1) }}, 
+      {{ SC_(0.6982586383819580078125e0), SC_(0.13568776608794218001220481427238400798591422244367e1) }}, 
+      {{ SC_(0.74485766887664794921875e0), SC_(0.13225089163569380724816605958889295619432742743828e1) }}, 
+      {{ SC_(0.75686132907867431640625e0), SC_(0.13130049536402767623871717650724612640189448665164e1) }}, 
+      {{ SC_(0.81158387660980224609375e0), SC_(0.1265774005474254141411822958784348996686269275959e1) }}, 
+      {{ SC_(0.826751708984375e0), SC_(0.1251401815196169298547115798872087290243528044558e1) }}, 
+      {{ SC_(0.83147108554840087890625e0), SC_(0.12468018231406093242228210016848902253352539970597e1) }}, 
+      {{ SC_(0.84174954891204833984375e0), SC_(0.12365605223473625325793146444569526624443067779814e1) }}, 
+      {{ SC_(0.8679864406585693359375e0), SC_(0.12089081947735379320176271312129936213684657310011e1) }}, 
+      {{ SC_(0.90044414997100830078125e0), SC_(0.11711493603723543295821235205304820794673798105369e1) }}, 
+      {{ SC_(0.91433393955230712890625e0), SC_(0.11535184098186861192678956506006329721663192849427e1) }}, 
+      {{ SC_(0.91501367092132568359375e0), SC_(0.11526291690338582866360141839353650400854743647163e1) }}, 
+      {{ SC_(0.918984889984130859375e0), SC_(0.11473810486945145917917969281137061723789053926309e1) }}, 
+      {{ SC_(0.92977702617645263671875e0), SC_(0.11326318918571500732674050143237850082646730427556e1) }}, 
+      {{ SC_(0.93538987636566162109375e0), SC_(0.11246526120138518224375085002257139975074424198895e1) }}, 
+      {{ SC_(0.93773555755615234375e0), SC_(0.11212495302257932905970525402254900901444230096575e1) }}, 
+      {{ SC_(0.94118559360504150390625e0), SC_(0.11161664223439311396943776225269812587817500317889e1) }}, 
+      {{ SC_(0.96221935749053955078125e0), SC_(0.10828018699366994143027254777963854661530573064246e1) }}, 
+      {{ SC_(0.98576259613037109375e0), SC_(0.10380503716235214587344268369403753352254592216066e1) }}, 
+      {{ SC_(0.9881370067596435546875e0), SC_(0.10327762472475272053177375153237179387280796303267e1) }}, 
+      {{ SC_(0.99292266368865966796875e0), SC_(0.10213677605130466359178501196768639821158116338631e1) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_f_data.ipp b/src/boost/libs/math/test/ellint_f_data.ipp
new file mode 100644
index 00000000..b410f604
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_f_data.ipp
@@ -0,0 +1,624 @@
+//  Copyright (c) 2006 John Maddock
+//
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// There are three values in each row:
+//
+// phi, k, ellint_1(k, phi)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 610> ellint_f_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.12698681652545928955078125e0), SC_(0.17721911576221833285284471505772299979929420100157e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.135477006435394287109375e0), SC_(0.17721911596893097495385621130075639520810631802367e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22103404998779296875e0), SC_(0.17721911879842626333735727252300568988042608181058e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.308167040348052978515625e0), SC_(0.17721912307586304284414392153484736630244171106967e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6323592662811279296875e0), SC_(0.17721915136072145749706721763844561838990574996748e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.814723670482635498046875e0), SC_(0.17721917584088468746420484903332375635064689539385e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.835008561611175537109375e0), SC_(0.17721917894520936923412246849940510596766888342397e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.905791938304901123046875e0), SC_(0.17721919037560789892218093103766859258846695998999e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.9133758544921875e0), SC_(0.17721919165542367899383364723376572314588337429883e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.968867778778076171875e0), SC_(0.1772192013446002825503764323931321827613955432354e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.12698681652545928955078125e0), SC_(0.22177286739245139979235205992077921703857874992614e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.135477006435394287109375e0), SC_(0.22177286779754970704335950293621400375492832466137e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.22103404998779296875e0), SC_(0.22177287334256025917867525959622978930360537074924e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.308167040348052978515625e0), SC_(0.22177288172512715350908153180610533224553721306023e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6323592662811279296875e0), SC_(0.2217729371554693319729054703026208450026061763822e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.814723670482635498046875e0), SC_(0.22177298512970423745998954480900177381552708544037e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.835008561611175537109375e0), SC_(0.2217729912133089721595554486266261343813239076347e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.905791938304901123046875e0), SC_(0.22177301361368343651109035690490962300073942661987e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.9133758544921875e0), SC_(0.22177301612176360421071258583990800763547750726474e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.968867778778076171875e0), SC_(0.22177303510983544844756451225638983381366612239496e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.12698681652545928955078125e0), SC_(0.74445011006718641819708303378218126160875363196343e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.135477006435394287109375e0), SC_(0.74445012538997345743072973657345052421185812852883e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.22103404998779296875e0), SC_(0.7444503351293811483247033675758072401037344482302e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.308167040348052978515625e0), SC_(0.74445065219959407401467925377833815036903664230965e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.6323592662811279296875e0), SC_(0.74445274886650082568519006341784743843976685124848e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.814723670482635498046875e0), SC_(0.74445456352769560796450156151400127382998272645198e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.835008561611175537109375e0), SC_(0.74445479364613446978911973710885424587373960669503e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.905791938304901123046875e0), SC_(0.74445564096573887453994590323758448047874147238395e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.9133758544921875e0), SC_(0.74445573583701508518948039844922043785925055729088e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.968867778778076171875e0), SC_(0.74445645408656423225725685299458948993261862803123e-2) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.12698681652545928955078125e0), SC_(0.14336012771572004313303282953555702877340432667875e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.135477006435394287109375e0), SC_(0.14336013865789252161967302705927923090033123892839e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.22103404998779296875e0), SC_(0.14336028843546510307044909433889108803989992630717e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.308167040348052978515625e0), SC_(0.14336051486049934782010291664500194812313169536713e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.6323592662811279296875e0), SC_(0.14336201216019080237489913190282411526700579073185e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.814723670482635498046875e0), SC_(0.14336330811999887083609618534824546245882513068397e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.835008561611175537109375e0), SC_(0.14336347246485787781200874226852611208775882622848e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.905791938304901123046875e0), SC_(0.14336407760582576201557263371323141017452648028165e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.9133758544921875e0), SC_(0.14336414536187317685947794701801663975831519240267e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.968867778778076171875e0), SC_(0.14336465833209128166372255292238755432460966798543e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.12698681652545928955078125e0), SC_(0.17609184380978861185686844051402854987830396635258e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.135477006435394287109375e0), SC_(0.17609186408789500419846933977020874867517546176364e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.22103404998779296875e0), SC_(0.1760921416571103349085943082737303345872943430306e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.308167040348052978515625e0), SC_(0.17609256127163964831115570232150804486066285764182e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.6323592662811279296875e0), SC_(0.17609533613743185319361344589522300705915673688072e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.814723670482635498046875e0), SC_(0.17609773793502177357795159012740745279433408620657e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.835008561611175537109375e0), SC_(0.17609804251901222009248779176903833413486036667612e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.905791938304901123046875e0), SC_(0.17609916404852657704429322263138229104993266575624e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.9133758544921875e0), SC_(0.1760992896240552553398130726999861697860870407761e-1) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.968867778778076171875e0), SC_(0.17610024034162638690605314405325566252936262309737e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.12698681652545928955078125e0), SC_(0.61527743617821017309837317251112211820225287909855e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.135477006435394287109375e0), SC_(0.61527830061250812048027946124763113656851093792434e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.22103404998779296875e0), SC_(0.61529013370063563692372946253072143453390904798089e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.308167040348052978515625e0), SC_(0.61530802448197340746490712692471232101050993961418e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.6323592662811279296875e0), SC_(0.61542639923962778105311852278000229689228218960744e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.814723670482635498046875e0), SC_(0.61552895025692965307933631422367268195916509703533e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.835008561611175537109375e0), SC_(0.61554196132063228221650243038365314737062757534577e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.905791938304901123046875e0), SC_(0.61558988200653669357386111420505273705513915221039e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.9133758544921875e0), SC_(0.61559524874653086436154791531898624131363535519786e-1) }}, 
+      {{ SC_(0.6152711808681488037109375e-1), SC_(0.968867778778076171875e0), SC_(0.61563588723439851846457601010368343188236507772324e-1) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.12698681652545928955078125e0), SC_(0.11959057453624120334328464580296093852234979832319e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.135477006435394287109375e0), SC_(0.11959120801241224829404843422425331039825816399323e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.22103404998779296875e0), SC_(0.11959988089267249852525096379530849147372849485837e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.308167040348052978515625e0), SC_(0.11961299840115507344869578732891575108359266237168e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.6323592662811279296875e0), SC_(0.11969993471932342512901186119137938273010491343839e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.814723670482635498046875e0), SC_(0.11977545304297570964095700217118618012823329027572e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.835008561611175537109375e0), SC_(0.11978504790549786604035595742049176901340492369488e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.905791938304901123046875e0), SC_(0.11982041286438468953360393124738982966366389995088e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.9133758544921875e0), SC_(0.11982437604947070134783045506622451496127174214852e0) }}, 
+      {{ SC_(0.11958599090576171875e0), SC_(0.968867778778076171875e0), SC_(0.11985440336661855301549423118012820509315718117197e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.12698681652545928955078125e0), SC_(0.15263876949340227518206289717013303150106829870099e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.135477006435394287109375e0), SC_(0.1526400843588230155682366958717934905571237493997e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.22103404998779296875e0), SC_(0.15265808845688818722969160139227782294722571051529e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.308167040348052978515625e0), SC_(0.15268532756614555185951232940143121587973495430525e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.6323592662811279296875e0), SC_(0.15286611056971117187897855912072736469367681312174e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.814723670482635498046875e0), SC_(0.15302351281614507246145987065383207949898475657898e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.835008561611175537109375e0), SC_(0.1530435356029459943950906219285804393294788945235e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.905791938304901123046875e0), SC_(0.15311738352257616185860950883692089730569486492446e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.9133758544921875e0), SC_(0.15312566397501259415031965429740682988005856648126e0) }}, 
+      {{ SC_(0.15262925624847412109375e0), SC_(0.968867778778076171875e0), SC_(0.15318843193739198996381468724623288934348602518129e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.12698681652545928955078125e0), SC_(0.40826668831091663626441209189877606742300982945973e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.135477006435394287109375e0), SC_(0.40829116199484250382288115943353006881004084526972e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.22103404998779296875e0), SC_(0.40862694825468660603335613858853155144356700548887e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.308167040348052978515625e0), SC_(0.40913737969817628320962246135961573151967272603518e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.6323592662811279296875e0), SC_(0.41260107543378269414044566586047919507096924341891e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.814723670482635498046875e0), SC_(0.41573068432927359032136530554842076369488053445457e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.835008561611175537109375e0), SC_(0.41613683445341381464308582108835280048764059411648e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.905791938304901123046875e0), SC_(0.41765113398254723962055569064791926246615413254393e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.9133758544921875e0), SC_(0.41782256020276621609674017362671014750026501907095e0) }}, 
+      {{ SC_(0.408089816570281982421875e0), SC_(0.968867778778076171875e0), SC_(0.41913296681896765017387990528505551996225614692784e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.12698681652545928955078125e0), SC_(0.65477569244498274628357445932008780234315571539044e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.135477006435394287109375e0), SC_(0.65487164806402153030573139984154302981551785243681e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.22103404998779296875e0), SC_(0.65619254194891227468042672889687463942443436690839e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.308167040348052978515625e0), SC_(0.65821620961354539414907061912932846886247912255255e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.6323592662811279296875e0), SC_(0.67248849848936050016610849963373465122330627892961e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.814723670482635498046875e0), SC_(0.68630164387246135032620177956466712274649070191177e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.835008561611175537109375e0), SC_(0.68816675621039760222631800074603375360142401438987e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.905791938304901123046875e0), SC_(0.69528261874286863026519970272329655298700166989486e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.9133758544921875e0), SC_(0.69610496181753652833224539834751851243394541480226e0) }}, 
+      {{ SC_(0.6540834903717041015625e0), SC_(0.968867778778076171875e0), SC_(0.7025112262474545066603301157823427120637874200135e0) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.12698681652545928955078125e0), SC_(0.11003471149236776513507991265642138339242686949903e1) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.135477006435394287109375e0), SC_(0.11007377660649281456894166377025736959059995654682e1) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.22103404998779296875e0), SC_(0.11061549425514318379849291365895797405348292801433e1) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.308167040348052978515625e0), SC_(0.11146019681541067330906358155717865338186530102327e1) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.6323592662811279296875e0), SC_(0.11802074417620207931939611733260636276673966082443e1) }}, 
+      {{ SC_(0.1097540378570556640625e1), SC_(0.814723670482635498046875e0), SC_(0.12578285181515702991797627592602165658058701930258e1) }}, 
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+      {{ SC_(0.503011474609375e3), SC_(0.12698681652545928955078125e0), SC_(0.50505659203440279938830010253440085323070647638583e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.135477006435394287109375e0), SC_(0.50534216388830445980335135399460817135115935936356e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.22103404998779296875e0), SC_(0.50932593644875965893234599959022743691202259918901e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.308167040348052978515625e0), SC_(0.51562892434896885100439228418671454505533824895074e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.6323592662811279296875e0), SC_(0.5691388458382702939253765036826448847256790383481e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.814723670482635498046875e0), SC_(0.64841647174915260562168094112340451126659760019193e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.835008561611175537109375e0), SC_(0.66318246845203780675903083663338059471936088994611e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.905791938304901123046875e0), SC_(0.73841077722591654304210596796019202721941795711926e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.9133758544921875e0), SC_(0.75013755084726454965881401907276391709101666410419e3) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.968867778778076171875e0), SC_(0.89973134282710925452142048450157816262200221102697e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.12698681652545928955078125e0), SC_(0.10115604555368949483687471890824497026532038567019e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.135477006435394287109375e0), SC_(0.1012133050497275830780347173002131083103600802088e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.22103404998779296875e0), SC_(0.1020120880922149604989950464445671598395259388161e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.308167040348052978515625e0), SC_(0.10327591029439108059157922326032636145569231829932e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.6323592662811279296875e0), SC_(0.11400597837237931811476044006089184883421460101765e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.814723670482635498046875e0), SC_(0.12990515604873895842003339764405472011586481003657e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.835008561611175537109375e0), SC_(0.13286671610382179011061935562304250712176020940221e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.905791938304901123046875e0), SC_(0.14795587929982445488758894910099973156560147854256e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.9133758544921875e0), SC_(0.15030813318756246891355137019045501942292731438192e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.968867778778076171875e0), SC_(0.18031683136020447255217816635153572296860929726591e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.12698681652545928955078125e0), SC_(0.11902165793870267987435741776753047875920265751213e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.135477006435394287109375e0), SC_(0.11908897391528240120679535097563994079186387409261e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.22103404998779296875e0), SC_(0.12002804010608050581829575008183192405062961123642e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.308167040348052978515625e0), SC_(0.12151378934996375824220394156626328228788742423087e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.6323592662811279296875e0), SC_(0.13412676685915296881822755838145300215000346890517e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.814723670482635498046875e0), SC_(0.15281201627814349911219322982937563560261834041215e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.835008561611175537109375e0), SC_(0.15629208273736966018850653753226433255433492941276e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.905791938304901123046875e0), SC_(0.17402117426998289313370860215974579190403457757437e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.9133758544921875e0), SC_(0.17678472099706618291007501715448169066167629554269e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.968867778778076171875e0), SC_(0.2120363403215687272189669275949606957433496693392e4) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_k_data.ipp b/src/boost/libs/math/test/ellint_k_data.ipp
new file mode 100644
index 00000000..944d93ae
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_k_data.ipp
@@ -0,0 +1,107 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> ellint_k_data = {{
+      {{ SC_(-0.99042308330535888671875e0), SC_(0.3377711175347896212115917173531827081735908096628e1) }}, 
+      {{ SC_(-0.936324596405029296875e0), SC_(0.24799928378892127263868582279024816073017669022263e1) }}, 
+      {{ SC_(-0.931098163127899169921875e0), SC_(0.24445366497109921574142184681825951967450363552834e1) }}, 
+      {{ SC_(-0.928566992282867431640625e0), SC_(0.24283992440860978354078883091691713688375646750641e1) }}, 
+      {{ SC_(-0.927107870578765869140625e0), SC_(0.24193766718674199444433297470157473721017375354321e1) }}, 
+      {{ SC_(-0.907647669315338134765625e0), SC_(0.23150567546618192429964125282245930582572797978818e1) }}, 
+      {{ SC_(-0.89755761623382568359375e0), SC_(0.22701438887345149877132302334749426657376446371554e1) }}, 
+      {{ SC_(-0.805727422237396240234375e0), SC_(0.20065967275502056522161145711205880615166307631054e1) }}, 
+      {{ SC_(-0.804910182952880859375e0), SC_(0.20049607901713509576649915223436597681197065440791e1) }}, 
+      {{ SC_(-0.78026759624481201171875e0), SC_(0.19592100556166276984041617991618803394021101627948e1) }}, 
+      {{ SC_(-0.775062084197998046875e0), SC_(0.19503477481367618080344709104861737619417735663137e1) }}, 
+      {{ SC_(-0.749625742435455322265625e0), SC_(0.19104400630324162677555937926672404286027386161554e1) }}, 
+      {{ SC_(-0.748197972774505615234375e0), SC_(0.19083524493958065222471464174677965403570194813599e1) }}, 
+      {{ SC_(-0.746017634868621826171875e0), SC_(0.19051932837924025803305082607208317930893376343866e1) }}, 
+      {{ SC_(-0.729037344455718994140625e0), SC_(0.18817193270349712906579552152250851402884979195389e1) }}, 
+      {{ SC_(-0.7162187099456787109375e0), SC_(0.18652211443514110895753017730892076794376353163691e1) }}, 
+      {{ SC_(-0.70176351070404052734375e0), SC_(0.18477488779057501703815851124765277365377561449605e1) }}, 
+      {{ SC_(-0.684765398502349853515625e0), SC_(0.18285893795597042965531449099985329446409496660036e1) }}, 
+      {{ SC_(-0.657618343830108642578125e0), SC_(0.18007288418337930091030357471813257042005823390856e1) }}, 
+      {{ SC_(-0.65226137638092041015625e0), SC_(0.17955901766989373531455842967467859457919280319805e1) }}, 
+      {{ SC_(-0.626246631145477294921875e0), SC_(0.17721381024097650892501675317068276777213166539113e1) }}, 
+      {{ SC_(-0.62322795391082763671875e0), SC_(0.17695682119254878963375370515480337143290717650699e1) }}, 
+      {{ SC_(-0.579573929309844970703125e0), SC_(0.17355084423179730268283500692922635797002148145716e1) }}, 
+      {{ SC_(-0.576143443584442138671875e0), SC_(0.17330585071273208935299581419876214110701077039073e1) }}, 
+      {{ SC_(-0.557924091815948486328125e0), SC_(0.17205458226692737403200667710314658175352937313565e1) }}, 
+      {{ SC_(-0.4461468160152435302734375e0), SC_(0.1659143428704545241870880533420140506147522333952e1) }}, 
+      {{ SC_(-0.442996323108673095703125e0), SC_(0.16577357283229169972381488150848899831930773096426e1) }}, 
+      {{ SC_(-0.4059340953826904296875e0), SC_(0.16422906110493949856538834271333672987146221978421e1) }}, 
+      {{ SC_(-0.3961667716503143310546875e0), SC_(0.16385456546730544519392193048583469346592283426711e1) }}, 
+      {{ SC_(-0.38365900516510009765625e0), SC_(0.16339371135272803257688801436358682987064021339502e1) }}, 
+      {{ SC_(-0.366892278194427490234375e0), SC_(0.16280775355945302002930914045811739595274403877109e1) }}, 
+      {{ SC_(-0.3657942116260528564453125e0), SC_(0.16277061660792581984612626919271028055659130917587e1) }}, 
+      {{ SC_(-0.2774055898189544677734375e0), SC_(0.16023984430282800438657607498499405531471989727973e1) }}, 
+      {{ SC_(-0.236876904964447021484375e0), SC_(0.15935547153447952975660160168795914210559129958763e1) }}, 
+      {{ SC_(-0.215539872646331787109375e0), SC_(0.1589532821488995266987321628138860611930750500013e1) }}, 
+      {{ SC_(-0.20251691341400146484375e0), SC_(0.15872846186561139876915281752585049624892405264006e1) }}, 
+      {{ SC_(-0.18253175914287567138671875e0), SC_(0.15841312442860499386355917744088632471227360101517e1) }}, 
+      {{ SC_(-0.15647165477275848388671875e0), SC_(0.15805456328241604119645385355233009390341499402715e1) }}, 
+      {{ SC_(-0.155818879604339599609375e0), SC_(0.15804633259546865645050516399359359956031398166357e1) }}, 
+      {{ SC_(-0.12250564992427825927734375e0), SC_(0.15767400871102419514183615836102806382524229776023e1) }}, 
+      {{ SC_(-0.108822040259838104248046875e0), SC_(0.15754779970087063716770992170704593788694293192204e1) }}, 
+      {{ SC_(-0.84016263484954833984375e-1), SC_(0.15735793449827667079522175566532496627258499829808e1) }}, 
+      {{ SC_(-0.5047737061977386474609375e-1), SC_(0.15717983468978644730669790777144243904901266418816e1) }}, 
+      {{ SC_(-0.2924356050789356231689453125e-1), SC_(0.15711323191301626906143245522892930046111479139043e1) }}, 
+      {{ SC_(-0.2485703863203525543212890625e-1), SC_(0.15710390490728134946675992373238514306032071520432e1) }}, 
+      {{ SC_(-0.2046610601246356964111328125e-1), SC_(0.15709608520853443438268600756375428033257896081621e1) }}, 
+      {{ SC_(-0.1881679333746433258056640625e-1), SC_(0.15709353981303437885151982749950681277334084182671e1) }}, 
+      {{ SC_(0.73303808458149433135986328125e-2), SC_(0.15708174289149913873348609319163921760640886342517e1) }}, 
+      {{ SC_(0.93767531216144561767578125e-1), SC_(0.15742662557451933000168330868057640508121413022011e1) }}, 
+      {{ SC_(0.94445712864398956298828125e-1), SC_(0.15743168849992435161106319232000048329301973530501e1) }}, 
+      {{ SC_(0.26472222805023193359375e0), SC_(0.15994564178224078022860215956833860720177728374035e1) }}, 
+      {{ SC_(0.2795303165912628173828125e0), SC_(0.16029072336719100270539575574782330640458373122935e1) }}, 
+      {{ SC_(0.2926295697689056396484375e0), SC_(0.16061468472007804719214570477294979509859730905091e1) }}, 
+      {{ SC_(0.31095921993255615234375e0), SC_(0.1610983807838740712761368067192691405393131953881e1) }}, 
+      {{ SC_(0.311484813690185546875e0), SC_(0.16111278469143224539903626000312660918785264354958e1) }}, 
+      {{ SC_(0.3272143900394439697265625e0), SC_(0.16155797975233104967915214233565515716306532094698e1) }}, 
+      {{ SC_(0.35747349262237548828125e0), SC_(0.16249404264362997324992641484372408858215631632002e1) }}, 
+      {{ SC_(0.3627222478389739990234375e0), SC_(0.16266751570835125835068247288118651474745966539618e1) }}, 
+      {{ SC_(0.3896603286266326904296875e0), SC_(0.16361224926513534404184731359873689992038364400691e1) }}, 
+      {{ SC_(0.4120951592922210693359375e0), SC_(0.16447205720518345410219553921960387345221364427466e1) }}, 
+      {{ SC_(0.418732583522796630859375e0), SC_(0.16473983100889105980743072684285213201961112169823e1) }}, 
+      {{ SC_(0.451680660247802734375e0), SC_(0.16616537578199064695178688197080983284328919711812e1) }}, 
+      {{ SC_(0.4812971055507659912109375e0), SC_(0.16759409027443021223185102539476096588592566487743e1) }}, 
+      {{ SC_(0.486267507076263427734375e0), SC_(0.16784859353297838419400330721985671192135840854661e1) }}, 
+      {{ SC_(0.509375751018524169921875e0), SC_(0.16909133957115563796676413045863923443879243171298e1) }}, 
+      {{ SC_(0.515482723712921142578125e0), SC_(0.16943684153133994180565117266182132481147687142707e1) }}, 
+      {{ SC_(0.52750241756439208984375e0), SC_(0.17013882771778724726932964262059466393678608760062e1) }}, 
+      {{ SC_(0.531035959720611572265625e0), SC_(0.17035089955832848907265521472430416089318818612814e1) }}, 
+      {{ SC_(0.584416687488555908203125e0), SC_(0.17390197327988114565246996689229900966075086201035e1) }}, 
+      {{ SC_(0.587952077388763427734375e0), SC_(0.17416228307854377082064181076439075579393688159215e1) }}, 
+      {{ SC_(0.5904018878936767578125e0), SC_(0.17434466233796448758342732941787231810206075234501e1) }}, 
+      {{ SC_(0.5945618152618408203125e0), SC_(0.17465816562648604997075231101739061981996142156151e1) }}, 
+      {{ SC_(0.5958592891693115234375e0), SC_(0.17475694098213745790315441260074496951659216831348e1) }}, 
+      {{ SC_(0.59621369838714599609375e0), SC_(0.17478400476807070940242210641459121619833657136515e1) }}, 
+      {{ SC_(0.60056293010711669921875e0), SC_(0.17511905345983286033588753251945176786720874355107e1) }}, 
+      {{ SC_(0.6150639057159423828125e0), SC_(0.17627654245195403785778656645694141888969985612575e1) }}, 
+      {{ SC_(0.629449188709259033203125e0), SC_(0.17748975492324966654441702323788071861970996989102e1) }}, 
+      {{ SC_(0.6438083648681640625e0), SC_(0.17877036110717852208569994416480820233927146151031e1) }}, 
+      {{ SC_(0.64691746234893798828125e0), SC_(0.17905734108284599293495949910396246976486037925061e1) }}, 
+      {{ SC_(0.67001879215240478515625e0), SC_(0.18130645541261783392588745817521015225200222756122e1) }}, 
+      {{ SC_(0.698260128498077392578125e0), SC_(0.18436823516091780453599478590327018132893271380223e1) }}, 
+      {{ SC_(0.744858920574188232421875e0), SC_(0.1903528375308813580432291088034833377552119409638e1) }}, 
+      {{ SC_(0.75686252117156982421875e0), SC_(0.1921257878508255118587957424341444494608703851379e1) }}, 
+      {{ SC_(0.81158483028411865234375e0), SC_(0.20185697260071845965032147456371482208660801062775e1) }}, 
+      {{ SC_(0.826752603054046630859375e0), SC_(0.20517631918180497335416092658794507587336758082983e1) }}, 
+      {{ SC_(0.831471920013427734375e0), SC_(0.20628007317688811564201523487885011440347375983853e1) }}, 
+      {{ SC_(0.841750323772430419921875e0), SC_(0.20881524894194487687984856759006121206951763482194e1) }}, 
+      {{ SC_(0.867987096309661865234375e0), SC_(0.21626553443645542835585774105841427525784980815445e1) }}, 
+      {{ SC_(0.90044462680816650390625e0), SC_(0.22824738454300952253057616561926426370482782713694e1) }}, 
+      {{ SC_(0.914334356784820556640625e0), SC_(0.23479275233217975943026959240752324894340069192044e1) }}, 
+      {{ SC_(0.915014088153839111328125e0), SC_(0.23514264944956428937368978831156074286111428698483e1) }}, 
+      {{ SC_(0.918985307216644287109375e0), SC_(0.23725035893866734721028942202359170270846633736916e1) }}, 
+      {{ SC_(0.9297773838043212890625e0), SC_(0.2436037207911617888011813888250469085423814242563e1) }}, 
+      {{ SC_(0.935390174388885498046875e0), SC_(0.24734276363166698887860324191541438396367793619322e1) }}, 
+      {{ SC_(0.937735855579376220703125e0), SC_(0.24901081139855480473523004657581668979713789812992e1) }}, 
+      {{ SC_(0.941185891628265380859375e0), SC_(0.25159148953544058237986278218012688105174747190388e1) }}, 
+      {{ SC_(0.962219536304473876953125e0), SC_(0.27197444631906795382660830171523843323266857162631e1) }}, 
+      {{ SC_(0.985762655735015869140625e0), SC_(0.31847978937935282927541645440535551111318175394252e1) }}, 
+      {{ SC_(0.988137066364288330078125e0), SC_(0.32733547952035871434783118403258690613147460127497e1) }}, 
+      {{ SC_(0.992922723293304443359375e0), SC_(0.35258676303484017878276559590157568137293088406988e1) }}
+   }};
diff --git a/src/boost/libs/math/test/ellint_pi2_data.ipp b/src/boost/libs/math/test/ellint_pi2_data.ipp
new file mode 100644
index 00000000..a8c0d1d1
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi2_data.ipp
@@ -0,0 +1,512 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, k, PI(n, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 500> ellint_pi2_data = {{
+      {{ SC_(-0.871743316650390625e2), SC_(0.12698681652545928955078125e0), SC_(0.1674125184786922275852201144520277497358358213892e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.135477006435394287109375e0), SC_(0.16743071541243053183466547814319460702264753849723e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.22103404998779296875e0), SC_(0.16768328087467940131221559947745677007068360020936e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.308167040348052978515625e0), SC_(0.16807808560619590184466399113136263382376022541855e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.6323592662811279296875e0), SC_(0.17122026715243530525631538196923732076962513344995e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.814723670482635498046875e0), SC_(0.17534141630242782956646324755267751416323066482835e0) }}, 
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+      {{ SC_(0.992881298065185546875e0), SC_(0.6323592662811279296875e0), SC_(0.23529707797658380333063244192127188223302192558852e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.814723670482635498046875e0), SC_(0.30575859801875799739375471862054166647512113645807e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.835008561611175537109375e0), SC_(0.32043676668849497954006889709974841705829962521726e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.905791938304901123046875e0), SC_(0.40366423262962757965206220506997277916388787599754e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.9133758544921875e0), SC_(0.41799032567813402312687064507199400755567816106555e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.957506835460662841796875e0), SC_(0.56128172471137549389344415739570835037807068562013e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.964888513088226318359375e0), SC_(0.60675965176721448584035543697674959062919562854532e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.967694938182830810546875e0), SC_(0.6276157259900044417409413119621359487406867750706e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.968867778778076171875e0), SC_(0.63707286094632152287529888037895307035240586536621e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.992881298065185546875e0), SC_(0.1120903461776478755543567802910659613184060305846e3) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.996461331844329833984375e0), SC_(0.14251487713932698105862123589172439943765575331836e3) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.97540400922298431396484375e-1), SC_(0.26525228363305081889178508646675136190937635090909e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.12698681652545928955078125e0), SC_(0.26609183579980223193874498139758348544252737042937e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.135477006435394287109375e0), SC_(0.26637665635242177149342425025355691196208309182209e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.188381969928741455078125e0), SC_(0.26859854936512317034208182700195391532482709459344e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.22103404998779296875e0), SC_(0.27037248327624528229706950425004550527856127233531e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.278498232364654541015625e0), SC_(0.27430729276514554098633382905293142866236072404168e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.308167040348052978515625e0), SC_(0.27678118753104768841544241662525580388107866876282e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.546881496906280517578125e0), SC_(0.31213240738021743521644147864390542809845218224843e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.54722058773040771484375e0), SC_(0.31220997617474390630713051844594666758716918064286e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.6323592662811279296875e0), SC_(0.33569286497756543464285670293321380122426984476525e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.814723670482635498046875e0), SC_(0.4395386723690573604089341802484590769216982250272e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.835008561611175537109375e0), SC_(0.46132844280074174499202090082014892744405520616437e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.905791938304901123046875e0), SC_(0.58587652855298148334031858334558601606458070313074e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.9133758544921875e0), SC_(0.60748367915375862531255830821598900720628098154312e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.957506835460662841796875e0), SC_(0.82625470558383026944908893678685038814065230848324e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.964888513088226318359375e0), SC_(0.89667844444233284890246553088819296424506047104969e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.967694938182830810546875e0), SC_(0.92913130201351090779050947500643074594936139585892e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.968867778778076171875e0), SC_(0.94387923495063103062113556546657899915314134335375e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.992881298065185546875e0), SC_(0.17241273531195384234344983626787913729253040033677e3) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.996461331844329833984375e0), SC_(0.22388123241793230536309311882526020237726710081432e3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_pi3_data.ipp b/src/boost/libs/math/test/ellint_pi3_data.ipp
new file mode 100644
index 00000000..3158ee4f
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi3_data.ipp
@@ -0,0 +1,412 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, phi, k, PI(n, phi, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 400> ellint_pi3_data = {{
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15321610867977142333984375e0), SC_(0.814723670482635498046875e0), SC_(0.15373203842748125370338546651780574888816846402842e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.1994704306125640869140625e0), SC_(0.135477006435394287109375e0), SC_(0.19975117232566753482238350513231879856319046077755e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.2128067910671234130859375e0), SC_(0.905791938304901123046875e0), SC_(0.21444962146028791552496083456124507126701014421723e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.295909702777862548828125e0), SC_(0.835008561611175537109375e0), SC_(0.2997980220798275355640498732995940042091456814389e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.3471994698047637939453125e0), SC_(0.12698681652545928955078125e0), SC_(0.3486476485633547682857103272510437125962758824058e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.4374639987945556640625e0), SC_(0.968867778778076171875e0), SC_(0.45394401267101670348318068398554096043112056011139e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.4840676784515380859375e0), SC_(0.9133758544921875e0), SC_(0.50429356834860180919136192213432534063086058053706e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.859039485454559326171875e0), SC_(0.22103404998779296875e0), SC_(0.88214398516284753446093152446515519356116616485632e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.859572112560272216796875e0), SC_(0.6323592662811279296875e0), SC_(0.92068616339339750141383142107393122316780108757901e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.993307650089263916015625e0), SC_(0.308167040348052978515625e0), SC_(0.10344161605846899329010060099405650089702846030678e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.127976500988006591796875e1), SC_(0.97540400922298431396484375e-1), SC_(0.13345405612458198850035058621296608418958648996025e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.131162846088409423828125e1), SC_(0.54722058773040771484375e0), SC_(0.1467211661750789199498096403270216766602112811216e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.142281472682952880859375e1), SC_(0.278498232364654541015625e0), SC_(0.1517376955674343715832681461618162299318704226245e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.14347274303436279296875e1), SC_(0.188381969928741455078125e0), SC_(0.15154584947701684136724391750741680569501800622377e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.150404822826385498046875e1), SC_(0.546881496906280517578125e0), SC_(0.17193768372540183459266121250638009185486028760609e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15156433582305908203125e1), SC_(0.992881298065185546875e0), SC_(0.32971643837652261637854814203821825514327178475199e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15200517177581787109375e1), SC_(0.957506835460662841796875e0), SC_(0.26533602409619323321869623248304538129999833091585e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.1521893978118896484375e1), SC_(0.996461331844329833984375e0), SC_(0.3561780644579714064351594651991953922505125185799e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.155961430072784423828125e1), SC_(0.964888513088226318359375e0), SC_(0.28980698413581142714910692917445567690962125009838e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.156523787975311279296875e1), SC_(0.967694938182830810546875e0), SC_(0.2963846383355250968965561470164902664673523718254e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15321610867977142333984375e0), SC_(0.15761308372020721435546875e0), SC_(0.15338276528480469307645524589925911983842933545318e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.1994704306125640869140625e0), SC_(0.725838959217071533203125e0), SC_(0.20050472017966223244832559958930749817872953420574e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.2128067910671234130859375e0), SC_(0.970592796802520751953125e0), SC_(0.21474633975859950860058990149085299903493818118173e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.295909702777862548828125e0), SC_(0.981109678745269775390625e0), SC_(0.30126622877564752427416022416319928001205083826745e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.3471994698047637939453125e0), SC_(0.957166969776153564453125e0), SC_(0.35556281810161664845441307089338900623226704681013e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.4374639987945556640625e0), SC_(0.109861753880977630615234375e0), SC_(0.44108704490870617851306791784352122043342900288043e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.4840676784515380859375e0), SC_(0.4853756427764892578125e0), SC_(0.4931534053333340013873746669080440363943172483071e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.859039485454559326171875e0), SC_(0.79810583591461181640625e0), SC_(0.95793555582395747656127633027011309520362186574239e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.859572112560272216796875e0), SC_(0.80028045177459716796875e0), SC_(0.95916493478176953527039854676450394699681072398641e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.993307650089263916015625e0), SC_(0.297029435634613037109375e0), SC_(0.10423576221417789616871878908198112649827548095731e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.127976500988006591796875e1), SC_(0.14188633859157562255859375e0), SC_(0.13546856275247299959686911377471236914557130492097e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.131162846088409423828125e1), SC_(0.47834846191108226776123046875e-2), SC_(0.13852508127489059545144640536254575613018719622883e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.142281472682952880859375e1), SC_(0.4217612743377685546875e0), SC_(0.1580806460730606927026951555195055758185719667744e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.14347274303436279296875e1), SC_(0.1124645173549652099609375e0), SC_(0.15299877934449998899665605808479497934876736447949e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.150404822826385498046875e1), SC_(0.915735542774200439453125e0), SC_(0.23689609442676919170416815484427154520853373075881e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15156433582305908203125e1), SC_(0.639763355255126953125e0), SC_(0.1835738109897334786523262319533878046183264001931e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15200517177581787109375e1), SC_(0.792207300662994384765625e0), SC_(0.20421897283663486226184747704649952019905530832883e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.1521893978118896484375e1), SC_(0.878430664539337158203125e0), SC_(0.22634516501807612485356151537759920819079714452558e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.155961430072784423828125e1), SC_(0.9594924449920654296875e0), SC_(0.28887516554719816744397706140122177270738385968024e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.156523787975311279296875e1), SC_(0.50366270542144775390625e0), SC_(0.18034472925184640376371577046428385276285373444411e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15321610867977142333984375e0), SC_(0.655740678310394287109375e0), SC_(0.15363629557196132980883089360225522896492220958322e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.1994704306125640869140625e0), SC_(0.797928631305694580078125e0), SC_(0.20067494179979137242421676287559757328741739620642e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.2128067910671234130859375e0), SC_(0.357116796076297760009765625e-1), SC_(0.21324169024677035294223198881641105042673468575295e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.295909702777862548828125e0), SC_(0.3612940013408660888671875e0), SC_(0.29762814633345360441629373229306400484051906392213e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.3471994698047637939453125e0), SC_(0.84912931919097900390625e0), SC_(0.35421678576166500134526995976876470429367721514915e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.4374639987945556640625e0), SC_(0.21192432940006256103515625e0), SC_(0.44177167179472452041878404853114448084677945000124e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.4840676784515380859375e0), SC_(0.93399322032928466796875e0), SC_(0.50663380674601173483407086537779743434452929228299e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.859039485454559326171875e0), SC_(0.6813595294952392578125e0), SC_(0.93627839278165512585472067471532220087472706511487e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.859572112560272216796875e0), SC_(0.67873513698577880859375e0), SC_(0.93649514133220802251023716495055301794222292469291e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.993307650089263916015625e0), SC_(0.3987385332584381103515625e0), SC_(0.10560205210680177542821652194191329203962951766098e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.127976500988006591796875e1), SC_(0.75774013996124267578125e0), SC_(0.15792362576660079817584588221413499564813109220967e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.131162846088409423828125e1), SC_(0.740647256374359130859375e0), SC_(0.16166573009327473944412502794295013421915138113773e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.142281472682952880859375e1), SC_(0.74313247203826904296875e0), SC_(0.18051149573204353151046319086097224034327358735037e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.14347274303436279296875e1), SC_(0.474758684635162353515625e0), SC_(0.16246331859624891584468937862242197255022663725014e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.150404822826385498046875e1), SC_(0.3922270238399505615234375e0), SC_(0.16794499146710961167059977468015447083859789387452e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15156433582305908203125e1), SC_(0.42208766937255859375e0), SC_(0.17060778738061936719641657840144566082201208057621e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15200517177581787109375e1), SC_(0.65547788143157958984375e0), SC_(0.18666567615959102360545655098338303883335250287837e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.1521893978118896484375e1), SC_(0.1738651692867279052734375e0), SC_(0.16454282072183386718850345865233706115846811877772e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.155961430072784423828125e1), SC_(0.1711866855621337890625e0), SC_(0.16893141542034271144719727903810757021076763554868e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.156523787975311279296875e1), SC_(0.3019131124019622802734375e0), SC_(0.17247629437572107835994205744033158553091594172942e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.15321610867977142333984375e0), SC_(0.70604610443115234375e0), SC_(0.15374129235371893318320391783184832151469294397024e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.1994704306125640869140625e0), SC_(0.797279894351959228515625e0), SC_(0.2008145356675702347171190965342317709807636891598e0) }}, 
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+      {{ SC_(0.968867778778076171875e0), SC_(0.1994704306125640869140625e0), SC_(0.552881181240081787109375e0), SC_(0.20248591151512684889777908313507098733907404479779e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.2128067910671234130859375e0), SC_(0.3531585633754730224609375e0), SC_(0.21617827331752659885227560975063192503354205955227e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.295909702777862548828125e0), SC_(0.53152568638324737548828125e-1), SC_(0.30457929773810368279656335904075896840505542281782e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.3471994698047637939453125e0), SC_(0.82119405269622802734375e0), SC_(0.36648381459009855010282636497000495844067411495728e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.4374639987945556640625e0), SC_(0.3225107491016387939453125e0), SC_(0.46820813134691862413002859030329680920443396476487e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.4840676784515380859375e0), SC_(0.15403441153466701507568359375e-1), SC_(0.52429622697384041199554387963318726564829097537693e0) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.859039485454559326171875e0), SC_(0.4049813747406005859375e0), SC_(0.11688412506184163287721570308014524903017013494232e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.859572112560272216796875e0), SC_(0.430237986147403717041015625e-1), SC_(0.11449988182409327994485455270827429695338275912174e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.993307650089263916015625e0), SC_(0.908433616161346435546875e0), SC_(0.18266789783360020292814582325699256373584172249477e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.127976500988006591796875e1), SC_(0.16899003088474273681640625e0), SC_(0.30430369250697162478388242126743830858353764266449e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.131162846088409423828125e1), SC_(0.80913722515106201171875e0), SC_(0.44920137262555851592309929494558415631051796363299e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.142281472682952880859375e1), SC_(0.649115502834320068359375e0), SC_(0.59891751296524440844289458168416602134024673548837e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.14347274303436279296875e1), SC_(0.25829589366912841796875e0), SC_(0.52965937189811672314081569081059077796519658968977e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.150404822826385498046875e1), SC_(0.731722414493560791015625e0), SC_(0.92583262981154382185351350782094876668592638916589e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.15156433582305908203125e1), SC_(0.12984652817249298095703125e0), SC_(0.7233773376721171229435259512236443934650475081173e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.15200517177581787109375e1), SC_(0.64774596691131591796875e0), SC_(0.91053372374313401582308361573901478352610855700337e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.1521893978118896484375e1), SC_(0.493326842784881591796875e0), SC_(0.82536400334140914822765036957266265919633704648661e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.155961430072784423828125e1), SC_(0.4509237110614776611328125e0), SC_(0.93995103249245477244455231773136703775786210343295e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.156523787975311279296875e1), SC_(0.3785004317760467529296875e0), SC_(0.93125715606508175287280208010343215728209966217622e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15321610867977142333984375e0), SC_(0.54700887203216552734375e0), SC_(0.154599286903186347536842701718471127585280120763e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.1994704306125640869140625e0), SC_(0.71846997737884521484375e0), SC_(0.20283934930431330261325692288358107410442895192458e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.2128067910671234130859375e0), SC_(0.29632079601287841796875e0), SC_(0.21619844220527214635649026415392786440017796933018e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.295909702777862548828125e0), SC_(0.2878049910068511962890625e0), SC_(0.3051647326285145064763788149974065042939649411249e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.3471994698047637939453125e0), SC_(0.74469280242919921875e0), SC_(0.36593269361963920740660627814234613035125736530233e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.4374639987945556640625e0), SC_(0.623435556888580322265625e0), SC_(0.47351038005245946606485569936799511854047412964646e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.4840676784515380859375e0), SC_(0.188955008983612060546875e0), SC_(0.52619421119616314908557198345534215266757025628341e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.859039485454559326171875e0), SC_(0.811873972415924072265625e0), SC_(0.12796147420322316976041013515903300942049403300717e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.859572112560272216796875e0), SC_(0.6867754459381103515625e0), SC_(0.12394269966981472546595377372621649553539498692944e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.993307650089263916015625e0), SC_(0.31250798702239990234375e0), SC_(0.15534506456507100564291157167033185308229885626081e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.127976500988006591796875e1), SC_(0.18351115286350250244140625e0), SC_(0.32883134974911278663257207579294642984195789886813e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.131162846088409423828125e1), SC_(0.3857105076313018798828125e0), SC_(0.3843930070475687905185740186007796682476313279295e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.142281472682952880859375e1), SC_(0.3684845864772796630859375e0), SC_(0.64560281183013155713676475264767841267885661014251e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.14347274303436279296875e1), SC_(0.3439297378063201904296875e0), SC_(0.68762448789590812867204741141193446919124297531292e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.150404822826385498046875e1), SC_(0.62561857700347900390625e0), SC_(0.13204500086777579559121699778257730234656273348984e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15156433582305908203125e1), SC_(0.81576907634735107421875e0), SC_(0.18782686397271619660785945631793130083787364064634e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15200517177581787109375e1), SC_(0.7802274227142333984375e0), SC_(0.18302545936290427541117117730722002834553061125842e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.1521893978118896484375e1), SC_(0.669285118579864501953125e0), SC_(0.16059155876792932443850017386340255003749606531065e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.155961430072784423828125e1), SC_(0.811257660388946533203125e-1), SC_(0.17107262415330151383028878013437636789944479173721e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.156523787975311279296875e1), SC_(0.379418849945068359375e0), SC_(0.19155786972659388496036522827203540528048007161044e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15321610867977142333984375e0), SC_(0.929385960102081298828125e0), SC_(0.15494953789788259980228066836666586023123819724425e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.1994704306125640869140625e0), SC_(0.4584968984127044677734375e0), SC_(0.20243262749758402603750294407634188860785303898664e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.2128067910671234130859375e0), SC_(0.775712668895721435546875e0), SC_(0.21706303863374380621352712917030134681912729698606e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.295909702777862548828125e0), SC_(0.303613960742950439453125e0), SC_(0.30524071829572125811103009319660245769811854653147e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.3471994698047637939453125e0), SC_(0.4867916405200958251953125e0), SC_(0.36356073608058866564834344897710010972287253451556e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.4374639987945556640625e0), SC_(0.910564959049224853515625e0), SC_(0.48104301408957402493870044558559339292659904746407e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.4840676784515380859375e0), SC_(0.4358585774898529052734375e0), SC_(0.5296599894432982217860267176354900496432490384687e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.859039485454559326171875e0), SC_(0.488617718219757080078125e0), SC_(0.11959816962457412713215082894885440106679306405223e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.859572112560272216796875e0), SC_(0.4467837512493133544921875e0), SC_(0.11905815264303277217419460505969483267592093504852e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.993307650089263916015625e0), SC_(0.75578987598419189453125e0), SC_(0.17303829899385816376582825125863049753469531971278e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.127976500988006591796875e1), SC_(0.3063494861125946044921875e0), SC_(0.33959201984939021366299708945798000348464210899788e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.131162846088409423828125e1), SC_(0.108061917126178741455078125e0), SC_(0.37244311575010030859404652598599661337479280352413e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.142281472682952880859375e1), SC_(0.5085086822509765625e0), SC_(0.71622395151588347106386969682257760699123684023386e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.14347274303436279296875e1), SC_(0.39358985424041748046875e0), SC_(0.73636293852590201326616972102360781065664379097234e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.150404822826385498046875e1), SC_(0.510771572589874267578125e0), SC_(0.13953417098210141831895151114277855224069335314941e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15156433582305908203125e1), SC_(0.870186746120452880859375e0), SC_(0.2556857706461314333232853600430574327145004073045e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15200517177581787109375e1), SC_(0.817627727985382080078125e0), SC_(0.23625019083977016071256452688852096136119845707138e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.1521893978118896484375e1), SC_(0.36086070537567138671875e0), SC_(0.15792458525021165627427857010031529171479777626611e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.155961430072784423828125e1), SC_(0.79483139514923095703125e0), SC_(0.36995201253231850772712106938485439098332159356711e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.156523787975311279296875e1), SC_(0.917117893695831298828125e0), SC_(0.57989207945838172546694589268843963845498536168854e2) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_pi3_large_data.ipp b/src/boost/libs/math/test/ellint_pi3_large_data.ipp
new file mode 100644
index 00000000..607f2409
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi3_large_data.ipp
@@ -0,0 +1,392 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, phi, k, PI(n, phi, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 380> ellint_pi3_large_data = {{
+      {{ SC_(-0.882951507568359375e2), SC_(-0.80491924285888671875e1), SC_(0.814723670482635498046875e0), SC_(-0.87472421400728425336727040442604900083192977041785e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.7460263729095458984375e1), SC_(0.135477006435394287109375e0), SC_(-0.82718880423302271609361236805097048706326618138613e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.729045963287353515625e1), SC_(0.905791938304901123046875e0), SC_(-0.87747551276758882959544200152954525505618423971659e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.623236083984375e1), SC_(0.835008561611175537109375e0), SC_(-0.65215237953434450934522345100560800793657047297229e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.5579319000244140625e1), SC_(0.12698681652545928955078125e0), SC_(-0.5122762429234107157399593560830350036728566184486e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.443003559112548828125e1), SC_(0.968867778778076171875e0), SC_(-0.54332403292257364440317808333720203684254160082478e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.38366591930389404296875e1), SC_(0.9133758544921875e0), SC_(-0.51338947010848800530828929008203919356014977411471e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.9376299381256103515625e0), SC_(0.22103404998779296875e0), SC_(0.15824345778373739469179000212986130442374553398e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.944411754608154296875e0), SC_(0.6323592662811279296875e0), SC_(0.16010110842241419282972789586647601062389080124406e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.264718532562255859375e1), SC_(0.308167040348052978515625e0), SC_(0.18812698999986759709990325160594334177917367010501e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.62944736480712890625e1), SC_(0.97540400922298431396484375e-1), SC_(0.6764648718685968528811245633241126898305817526621e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.670017147064208984375e1), SC_(0.54722058773040771484375e0), SC_(0.81778541776042463995319059339588552698088433898419e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.81158390045166015625e1), SC_(0.278498232364654541015625e0), SC_(0.83745249382380518272911191808287678555946548573727e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.826751708984375e1), SC_(0.188381969928741455078125e0), SC_(0.83757094918096990315704827205570637800372489102387e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.91501369476318359375e1), SC_(0.546881496906280517578125e0), SC_(0.88536530789452037214536364734769886885031477691156e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.929777050018310546875e1), SC_(0.992881298065185546875e0), SC_(0.10670104592156217618232174187269358103233999652509e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.93538990020751953125e1), SC_(0.957506835460662841796875e0), SC_(0.10357277056795963385227029717982264964969263725296e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.93773555755615234375e1), SC_(0.996461331844329833984375e0), SC_(0.11393287366513926492075339545953276894721889046337e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.98576259613037109375e1), SC_(0.964888513088226318359375e0), SC_(0.12490646709828734017662810793035855992633603697925e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.992922687530517578125e1), SC_(0.967694938182830810546875e0), SC_(0.12562075694306417376583251897842403492180529464883e1) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.80491924285888671875e1), SC_(0.15761308372020721435546875e0), SC_(-0.84140469773208335456919923830249117896698295285825e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.7460263729095458984375e1), SC_(0.725838959217071533203125e0), SC_(-0.85987671052370888277919669524246227679947360493402e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.729045963287353515625e1), SC_(0.970592796802520751953125e0), SC_(-0.91443922525100421734210147418874666650910614494338e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.623236083984375e1), SC_(0.981109678745269775390625e0), SC_(-0.7106272156738935312370492307790173553201815649551e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.5579319000244140625e1), SC_(0.957166969776153564453125e0), SC_(-0.58106009812366507614405013631862001052582083043834e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.443003559112548828125e1), SC_(0.109861753880977630615234375e0), SC_(-0.49983870530384115095256605303312645824352714073227e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.38366591930389404296875e1), SC_(0.4853756427764892578125e0), SC_(-0.49428566816516318921025209597689924685446558273393e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.9376299381256103515625e0), SC_(0.79810583591461181640625e0), SC_(0.16264406175756977733142719519534386130654412249944e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.944411754608154296875e0), SC_(0.80028045177459716796875e0), SC_(0.16282022749627678393354605008370427957677491731307e0) }}, 
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+      {{ SC_(-0.422729969024658203125e1), SC_(0.81158390045166015625e1), SC_(0.3377194106578826904296875e0), SC_(0.3552545326446817241133924081320996120058335192491e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.826751708984375e1), SC_(0.887726128101348876953125e0), SC_(0.43951652637374153998422296875036327337396811436615e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.91501369476318359375e1), SC_(0.90005385875701904296875e0), SC_(0.48896014631866115132055935386096009319586005592127e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.929777050018310546875e1), SC_(0.34383952617645263671875e0), SC_(0.40767517905568657166494213191421071678457476778443e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.93538990020751953125e1), SC_(0.369246780872344970703125e0), SC_(0.41436207389706064482444445954737364758418812617667e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.93773555755615234375e1), SC_(0.332685671746730804443359375e-1), SC_(0.40756534641409571950446138635247828926930790279057e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.98576259613037109375e1), SC_(0.111202754080295562744140625e0), SC_(0.4485670727454841708415959087291569852354460985191e1) }}, 
+      {{ SC_(-0.422729969024658203125e1), SC_(0.992922687530517578125e1), SC_(0.16287212073802947998046875e0), SC_(0.45334366508455232455528579705650267157785917194655e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.80491924285888671875e1), SC_(0.780252039432525634765625e0), SC_(-0.40943621028986137634975703353728608171096349083644e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.7460263729095458984375e1), SC_(0.8773639202117919921875e0), SC_(-0.41529939833416188958459732301077246683216449362382e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.729045963287353515625e1), SC_(0.3897388279438018798828125e0), SC_(-0.3480702220830587340721759704232773754695850228748e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.623236083984375e1), SC_(0.210301876068115234375e0), SC_(-0.27885209025273530237198094751157992754542254286699e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.5579319000244140625e1), SC_(0.241691291332244873046875e0), SC_(-0.23574190979731764925820378430269429039999026821228e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.443003559112548828125e1), SC_(0.2727530300617218017578125e0), SC_(-0.20795595903717808369226602920751548446608046498173e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.38366591930389404296875e1), SC_(0.4039121568202972412109375e0), SC_(-0.19363504684946027378474342759829701188128121771172e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.9376299381256103515625e0), SC_(0.4924419820308685302734375e0), SC_(0.57439960450437229566178730657936055087445971602828e0) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.944411754608154296875e0), SC_(0.964545309543609619140625e-1), SC_(0.56442474196093604965583566632417577278742858368547e0) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.264718532562255859375e1), SC_(0.22341994941234588623046875e0), SC_(0.10268979775772100508568940610675973674681502356369e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.62944736480712890625e1), SC_(0.1319732964038848876953125e0), SC_(0.28383877275791007314386299295586348532858393601241e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.670017147064208984375e1), SC_(0.49030148983001708984375e0), SC_(0.32907839164490880888445582345626377534487551184709e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.81158390045166015625e1), SC_(0.94205057621002197265625e0), SC_(0.48362019411346784721294532477720592781436962781609e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.826751708984375e1), SC_(0.954943358898162841796875e0), SC_(0.50567832895539918958405915199892399369403297399246e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.91501369476318359375e1), SC_(0.9561345577239990234375e0), SC_(0.55399195596034391177588570332150200763269427826113e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.929777050018310546875e1), SC_(0.651968657970428466796875e0), SC_(0.44651151939772538632794635991507283967810574236258e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.93538990020751953125e1), SC_(0.575208604335784912109375e0), SC_(0.44208286802520298236946850661246282685292115127784e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.93773555755615234375e1), SC_(0.75750362873077392578125e0), SC_(0.47354975575487988811361588081480294631498903701242e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.98576259613037109375e1), SC_(0.597795434296131134033203125e-1), SC_(0.45905273890268042154281499664878219445864193449935e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.992922687530517578125e1), SC_(0.435245692729949951171875e0), SC_(0.47676238150782921841655206628063738779088064504765e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.80491924285888671875e1), SC_(0.23477990925312042236328125e0), SC_(-0.44748533126920831422349545820794806553371277385033e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.7460263729095458984375e1), SC_(0.552881181240081787109375e0), SC_(-0.45036034718645244567658910223019378062296243109396e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.729045963287353515625e1), SC_(0.3531585633754730224609375e0), SC_(-0.42726238657165988625899083013084234770927337383475e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.623236083984375e1), SC_(0.53152568638324737548828125e-1), SC_(-0.34453886271845466532767992962242203359531735591743e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.5579319000244140625e1), SC_(0.82119405269622802734375e0), SC_(-0.36214083786208780467420759923323534444796335095604e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.443003559112548828125e1), SC_(0.3225107491016387939453125e0), SC_(-0.25784058164296168294688388728197558401803014682815e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.38366591930389404296875e1), SC_(0.15403441153466701507568359375e-1), SC_(-0.22937304274191202625404745929401752108326363938647e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.9376299381256103515625e0), SC_(0.4049813747406005859375e0), SC_(0.66882671905380321365353696629501581726839659732368e0) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.944411754608154296875e0), SC_(0.430237986147403717041015625e-1), SC_(0.66092945746372938652588605746346208982917240808408e0) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.264718532562255859375e1), SC_(0.908433616161346435546875e0), SC_(0.18536900080764993605645667717175921713955588720638e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.62944736480712890625e1), SC_(0.16899003088474273681640625e0), SC_(0.35237325007404202330837864635359809500592160070051e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.670017147064208984375e1), SC_(0.80913722515106201171875e0), SC_(0.45426945752272245371383350900233494955058093762277e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.81158390045166015625e1), SC_(0.649115502834320068359375e0), SC_(0.49038329428638199567178903183066367562827357258082e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.826751708984375e1), SC_(0.25829589366912841796875e0), SC_(0.45593877951262054200620352500821353887097951116667e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.91501369476318359375e1), SC_(0.731722414493560791015625e0), SC_(0.57004523382308203815337495168340937882687351079681e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.929777050018310546875e1), SC_(0.12984652817249298095703125e0), SC_(0.51319275680071863858207399358794549369987990555794e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.93538990020751953125e1), SC_(0.64774596691131591796875e0), SC_(0.56823138039205519976075282866343588596541504718097e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.93773555755615234375e1), SC_(0.493326842784881591796875e0), SC_(0.5455958348692104517652116375856606963768856463546e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.98576259613037109375e1), SC_(0.4509237110614776611328125e0), SC_(0.58425715884572127603208314559986328209865929040183e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.992922687530517578125e1), SC_(0.3785004317760467529296875e0), SC_(0.58235654495321593144993439337365609617712620177635e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.80491924285888671875e1), SC_(0.54700887203216552734375e0), SC_(-0.99225565272299265057474332033452451298257411758289e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.7460263729095458984375e1), SC_(0.71846997737884521484375e0), SC_(-0.98733924062829495855268464439174693001319340908722e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.729045963287353515625e1), SC_(0.29632079601287841796875e0), SC_(-0.82838310087004006715984395376110573887564954006723e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.623236083984375e1), SC_(0.2878049910068511962890625e0), SC_(-0.71399649768593994233565781388330571566404664291638e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.5579319000244140625e1), SC_(0.74469280242919921875e0), SC_(-0.7852838275875078318898768277396954817312338949233e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.443003559112548828125e1), SC_(0.623435556888580322265625e0), SC_(-0.55353469466832669055948998690680459923127869705195e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.38366591930389404296875e1), SC_(0.188955008983612060546875e0), SC_(-0.42670151795740926550616070898142650427001824200856e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.9376299381256103515625e0), SC_(0.811873972415924072265625e0), SC_(0.10948999881609283534865564650155039154841364221285e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.944411754608154296875e0), SC_(0.6867754459381103515625e0), SC_(0.10678437743348588891519840198915283249591294529495e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.264718532562255859375e1), SC_(0.31250798702239990234375e0), SC_(0.31064483566488608931281755219427099993121689654282e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.62944736480712890625e1), SC_(0.18351115286350250244140625e0), SC_(0.71043510436913445771405941909028349861445575844728e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.670017147064208984375e1), SC_(0.3857105076313018798828125e0), SC_(0.77553041204136176774038756662263769147319302501976e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.81158390045166015625e1), SC_(0.3684845864772796630859375e0), SC_(0.94787138653519013648251654059066285072949428515173e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.826751708984375e1), SC_(0.3439297378063201904296875e0), SC_(0.96231456672706330197751945234594804514605578493294e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.91501369476318359375e1), SC_(0.62561857700347900390625e0), SC_(0.11697431340770649519046006010297689812160093617617e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.929777050018310546875e1), SC_(0.81576907634735107421875e0), SC_(0.13689559632918850897185479014035065907489555706468e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.93538990020751953125e1), SC_(0.7802274227142333984375e0), SC_(0.13252477031585661466687278470237361058228506710271e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.93773555755615234375e1), SC_(0.669285118579864501953125e0), SC_(0.12219207125307825999387228477920190151422215626939e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.98576259613037109375e1), SC_(0.811257660388946533203125e-1), SC_(0.11000670184663049479533855890007560504469595099336e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.992922687530517578125e1), SC_(0.379418849945068359375e0), SC_(0.11497477476964669120779679338120232828710984170976e2) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_rc_data.ipp b/src/boost/libs/math/test/ellint_rc_data.ipp
new file mode 100644
index 00000000..4acca61c
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rc_data.ipp
@@ -0,0 +1,214 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RC, each row contains in order:
+//
+// x, y, RC(x, y)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 201> ellint_rc_data = {{
+      {{ SC_(0.11698430441812742785454260394458960094979845402414e-30), SC_(0.1429457475085533184e20), SC_(0.41546482167023371731518451342517736095263780557582e-9) }}, 
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.11098537606275153066313383027431717728910787699004e-4) }}, 
+      {{ SC_(0.75974287571611502022633594876763844865744160884209e-30), SC_(0.20657736771171195551744e23), SC_(0.10928951720653730370271800759007590309935803177545e-10) }}, 
+      {{ SC_(0.10711124272997777587041261201942927950011067906889e-29), SC_(0.47946235e7), SC_(0.71736902777915132997000781571354752397421561836787e-3) }}, 
+      {{ SC_(0.22148209406780902835423848339554340607932845033396e-29), SC_(0.19855378956352178823888896e26), SC_(0.35251758550831167800571476411635458611576128740787e-12) }}, 
+      {{ SC_(0.41366469991877353664505423235416110752209856263632e-29), SC_(0.1080339869874636584075679427013641468012674864323e-29), SC_(0.73882898278016317196709226502699714371366335165311e15) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.30483276103299498395114390375939883603035900740311e-6) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.25778133019186154518263488635604654249614963342631e5) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.40389133730438812928090167163598082343384172921425e-7) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.14920144492544889019454092007748150269559896140113e-3) }}, 
+      {{ SC_(0.19696330564073048658818435820590984305819001943432e-28), SC_(0.32238440243425309843308409068705787565729120602853e-24), SC_(0.27528315706771612956183484092479935495449666128525e13) }}, 
+      {{ SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.92534167116491481810744772274112199743911312596723e0) }}, 
+      {{ SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.23511481798013935669754503155612804985989597208762e-4) }}, 
+      {{ SC_(0.65104581211365760324995297566040105840304400052279e-28), SC_(0.700861590985368820838630199432373046875e-9), SC_(0.59334016337111736885565181305039468621938956693965e5) }}, 
+      {{ SC_(0.3949284499458758322165682321378970124179942071882e-27), SC_(0.670079424e9), SC_(0.60681559827956246896673839347875883912858354314319e-4) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.41150783369497640278522169895393702894524362953078e9) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.51706725181069699755346169652670461023196225991383e6) }}, 
+      {{ SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.51905646303429040628284185654450766378431580960751e-16), SC_(0.21802745983479448951816941696856049925016007329412e9) }}, 
+      {{ SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.22041878790098954794667581190100145257683475089988e1) }}, 
+      {{ SC_(0.16793731632787596740420928687663819571897812904515e-26), SC_(0.3518738464768e13), SC_(0.8373873246615759174577066128415186701403437615454e-6) }}, 
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+      {{ SC_(0.4562802734375e3), SC_(0.10197021348467909816516131089894163913918803398168e-29), SC_(0.17922488338074155572310350987171414204572553246592e1) }}, 
+      {{ SC_(0.7562174072265625e3), SC_(0.1910448768e10), SC_(0.35923470132422725783693134841062611631507906827816e-4) }}, 
+      {{ SC_(0.82290283203125e3), SC_(0.36223742228003175114281475543975830078125e-7), SC_(0.43980399212423650879963940207747478236239652368737e0) }}, 
+      {{ SC_(0.10313978271484375e4), SC_(0.10318525717298732830018437311991874594241380691528e-14), SC_(0.6668515395137059692868787992249145942381978211602e0) }}, 
+      {{ SC_(0.11206973876953125e4), SC_(0.159823103248039936e18), SC_(0.39291632590134749018316722859590852663653580203117e-8) }}, 
+      {{ SC_(0.3524259033203125e4), SC_(0.38758790625e6), SC_(0.23805498764247481510606154825690304471222889948051e-2) }}, 
+      {{ SC_(0.3542151123046875e4), SC_(0.23456829198204715014597354638681281358003616333008e-13), SC_(0.34396142776310129846777566611486054989278031943136e0) }}, 
+      {{ SC_(0.69560673828125e4), SC_(0.747194576263427734375e1), SC_(0.49317089833424179564861860197880854610400944287808e-1) }}, 
+      {{ SC_(0.7298279296875e4), SC_(0.135008262029312e15), SC_(0.13518785304121054341303872941843981481438748034264e-6) }}, 
+      {{ SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.13761011816758051951614138230181415517505541771123e-1) }}, 
+      {{ SC_(0.147901005859375e5), SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.2648413871016930409485455149414286637028184421264e0) }}, 
+      {{ SC_(0.815536015625e5), SC_(0.230844914913177490234375e0), SC_(0.24794349449595078621345239278260580833606450246749e-1) }}, 
+      {{ SC_(0.84901359375e5), SC_(0.18469835205078125e4), SC_(0.90274392712796214783133197618962325121969170157594e-2) }}, 
+      {{ SC_(0.131195640625e6), SC_(0.399027378608056683915492826862951233901632974721e-21), SC_(0.8619841670060382832194238459033456814758956298182e-1) }}, 
+      {{ SC_(0.41534478125e6), SC_(0.1918984889984130859375e1), SC_(0.1060665265394308433482579591641745485349613369435e-1) }}, 
+      {{ SC_(0.6869200625e6), SC_(0.12406291034494643099606037139892578125e-5), SC_(0.17148853609122838287334270730377713622015582671517e-1) }}, 
+      {{ SC_(0.9115189375e6), SC_(0.179409878467662494683889664e27), SC_(0.11727263974665223656008245016259368445874373950871e-12) }}, 
+      {{ SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.66003352582444822055431410346869855793086865122376e-2) }}, 
+      {{ SC_(0.15278292e8), SC_(0.14619622e8), SC_(0.25961118278381005988486780674736203564957112818546e-3) }}, 
+      {{ SC_(0.15583587e8), SC_(0.46741176605224609375e2), SC_(0.17863256980859237735262630967043753358312118433161e-2) }}, 
+      {{ SC_(0.2359947e8), SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.85438729190979830430450108794113432317121617101695e-2) }}, 
+      {{ SC_(0.44006012e8), SC_(0.41172763385266176e17), SC_(0.77411561887565592752972899889991015699435496559546e-8) }}, 
+      {{ SC_(0.4426536e8), SC_(0.89961878334825112180062577083017316681434749625623e-18), SC_(0.45500003788487494954911364150613981149754477134657e-2) }}, 
+      {{ SC_(0.14248488e9), SC_(0.61731988312258099732254031872e29), SC_(0.63221492521852077836928323850507110790467251568351e-14) }}, 
+      {{ SC_(0.156271296e9), SC_(0.13287944602780044078826904296875e-3), SC_(0.11670991383498154005718703499716739301912113499221e-2) }}, 
+      {{ SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.29911423091309748142593311126423073053561438997539e-6) }}, 
+      {{ SC_(0.355727936e9), SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.20422111659287768080880666674695585733215224225899e-2) }}, 
+      {{ SC_(0.1626075136e10), SC_(0.482386627197265625e2), SC_(0.23211090322482879766302355319080524745211784432509e-3) }}, 
+      {{ SC_(0.2606333696e10), SC_(0.12266837021255184297929829995155159849673509597778e-13), SC_(0.53963700104507610983907942976446519710715041862358e-3) }}, 
+      {{ SC_(0.3957605632e10), SC_(0.55799657429356219751070966594852507114410400390625e-13), SC_(0.42920548607924953119431231450313296279672960982957e-3) }}, 
+      {{ SC_(0.7740245504e10), SC_(0.589840515072e13), SC_(0.63227008905693272145832965758127025031892199413741e-6) }}, 
+      {{ SC_(0.10259405824e11), SC_(0.35736448257653877024582131372021365223190514370799e-17), SC_(0.31894320284009100162338080720486603695808737357409e-3) }}, 
+      {{ SC_(0.14041162752e11), SC_(0.16802999673239973138530304e26), SC_(0.38320084631624641337451768839752529254504071282248e-12) }}, 
+      {{ SC_(0.82854125568e11), SC_(0.58830391620982291911135882706044579926359106014644e-24), SC_(0.14299276138191576425667241629897528275040512189828e-3) }}, 
+      {{ SC_(0.11738591232e12), SC_(0.761073704058645716941100545227527618408203125e-10), SC_(0.7322171577268687983119525908536326486897490571614e-4) }}, 
+      {{ SC_(0.191893782528e12), SC_(0.174726296875e6), SC_(0.17458388731589946205436634365599236215476886257278e-4) }}, 
+      {{ SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.37153579565929854820799756427432381213691623554542e-4) }}, 
+      {{ SC_(0.572994879488e12), SC_(0.4479686882443445386870784e25), SC_(0.742157274353212118943917435113707955824870795782e-12) }}, 
+      {{ SC_(0.92746285056e12), SC_(0.7325884342193603515625e1), SC_(0.13992334087709732045223614104220216290282058103286e-4) }}, 
+      {{ SC_(0.13073324703744e14), SC_(0.48555353730121618377670656e27), SC_(0.71285511551986730987092942275962922466144519563445e-13) }}, 
+      {{ SC_(0.1591604150272e14), SC_(0.351564170056957952e18), SC_(0.26379290397755114021116829042194283811143014246219e-8) }}, 
+      {{ SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.20837274754438050716836877714486012090201227681745e-5) }}, 
+      {{ SC_(0.31191365320704e14), SC_(0.2293932139873504638671875e0), SC_(0.30376223823640976472682511381218417507215286561237e-5) }}, 
+      {{ SC_(0.51712110886912e14), SC_(0.156551992965379627797503279104e30), SC_(0.39700005931080030246901295737647079077294776223606e-14) }}, 
+      {{ SC_(0.14830236860416e15), SC_(0.57842544071306897015280826246375056598481023684144e-17), SC_(0.30262887085625134071904723108221624416890211410925e-5) }}, 
+      {{ SC_(0.3135611338752e15), SC_(0.2348838144e10), SC_(0.37238603812796720490349747070177231425073166090273e-6) }}, 
+      {{ SC_(0.323813657018368e15), SC_(0.156708486328125e5), SC_(0.69847661515884606972303830302067390332677255420951e-6) }}, 
+      {{ SC_(0.530327327997952e15), SC_(0.10366431646728266850195727608041629252966231433675e-18), SC_(0.17153262952128191564833782071342486326068147437365e-5) }}, 
+      {{ SC_(0.727262651482112e15), SC_(0.1535589888e10), SC_(0.26799428982612804774219551247863136845480307410692e-6) }}, 
+      {{ SC_(0.95759886188544e15), SC_(0.4659874708323741288040764629840850830078125e-8), SC_(0.8897375003298093960305950194491436152687587334261e-6) }}, 
+      {{ SC_(0.1551973144854528e16), SC_(0.10139344880747031860591903938868807433237861914677e-19), SC_(0.10458468387194864418446638976290709697775378499213e-5) }}, 
+      {{ SC_(0.183459460939776e16), SC_(0.58535432060362684618705258305616519358052915120161e-26), SC_(0.11315636043901720121388837656247249664177763590949e-5) }}, 
+      {{ SC_(0.27152649027584e16), SC_(0.66861986169897136278450489044189453125e-6), SC_(0.49072897074683974426280640967267909946582802584589e-6) }}, 
+      {{ SC_(0.3762704347037696e16), SC_(0.10164524532769642241629852708355797252185587220552e-24), SC_(0.77271884197062324056183842244132156703113101877894e-6) }}, 
+      {{ SC_(0.6551729407524864e16), SC_(0.25762003497220575809478759765625e-3), SC_(0.28457658270165863549014595037995212294784586710095e-6) }}, 
+      {{ SC_(0.9007602981666816e16), SC_(0.25765624e9), SC_(0.98811088491194357965387716654259888241690606624295e-7) }}, 
+      {{ SC_(0.31614863423832064e17), SC_(0.64014885e7), SC_(0.66664506125039749834276834929108360333353634282303e-7) }}, 
+      {{ SC_(0.45080659638616064e17), SC_(0.66192871423119660955992064e26), SC_(0.19306655679013338902506375891076552233340289260346e-12) }}, 
+      {{ SC_(0.59877638017122304e17), SC_(0.53512100536178474827209150532780768116936087608337e-15), SC_(0.15362013975191677793880105907602135335521807551786e-6) }}, 
+      {{ SC_(0.128395461743607808e18), SC_(0.206836903384823477636694016e27), SC_(0.10921919594473705616931168879025397857363831649357e-12) }}, 
+      {{ SC_(0.140845240494850048e18), SC_(0.15238641357421875e4), SC_(0.44689988476580111818524171778021205499463465100743e-7) }}, 
+      {{ SC_(0.245924553149120512e18), SC_(0.12432241406593107741605394588021265875441186132822e-25), SC_(0.10191370089476240496442184751961162333606213558986e-6) }}, 
+      {{ SC_(0.10302131894484992e19), SC_(0.86229714468864e14), SC_(0.53078949279350852244495899285397248236587855360507e-8) }}, 
+      {{ SC_(0.4173026783555223552e19), SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.25259325443772059313156731529761618841007461413987e-7) }}, 
+      {{ SC_(0.38083625921602912256e20), SC_(0.14043506688e11), SC_(0.18721812477205878318873337191745626686057078380972e-8) }}, 
+      {{ SC_(0.6036870791327383552e20), SC_(0.7191220191232e13), SC_(0.11151877475097208967247771680064286641451016014729e-8) }}, 
+      {{ SC_(0.140771054246300745728e21), SC_(0.4364620208740234375e2), SC_(0.18544022482541756413624180462592298070565733208098e-8) }}, 
+      {{ SC_(0.229345916576958775296e21), SC_(0.181080293376e13), SC_(0.66174853669110756842649598160820882183579693595045e-9) }}, 
+      {{ SC_(0.486625867239520206848e21), SC_(0.2663514463837359985504355062296832912238642165903e-19), SC_(0.21326856610092306285181605511492710866111336973419e-8) }}, 
+      {{ SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.15507902235497089042906909015124525282864868106372e-8) }}, 
+      {{ SC_(0.2085586588137791946752e23), SC_(0.1494682042368e13), SC_(0.85673852855596798336664141721336700864507390102108e-10) }}, 
+      {{ SC_(0.140444835444342210428928e24), SC_(0.468889537015105749778432e24), SC_(0.17303641617108978771183397785345947512931840394585e-11) }}, 
+      {{ SC_(0.277204771630374352584704e24), SC_(0.178649388253688812255859375e-1), SC_(0.56400743476075289901756964355291370430816192512748e-10) }}, 
+      {{ SC_(0.292186842467552253181952e24), SC_(0.8000304500511383121995759616e28), SC_(0.17494456350937238152051998129209403413657779766045e-13) }}, 
+      {{ SC_(0.404188410838900933656576e24), SC_(0.15307389070737408e17), SC_(0.14530172405497225203148631842861632557097281219397e-10) }}, 
+      {{ SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.75206449301552958256440392567562049430798996389352e-10) }}, 
+      {{ SC_(0.48688847917066659823616e24), SC_(0.12212552573408426924125600686592708205013835254249e-21), SC_(0.76232145024480748870634232091696723820904729119412e-10) }}, 
+      {{ SC_(0.1611108507323484384264192e25), SC_(0.11971012087915599989354498156046702206367626786232e-15), SC_(0.3694442785175160419076949350029585599009031148763e-10) }}, 
+      {{ SC_(0.1626183676572159287754752e26), SC_(0.18501463382170069138510370976291596889495849609375e-11), SC_(0.10719260914536354712818827718038676299273171700718e-10) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.93936394693848721355885906623218887308774325852727e-11) }}, 
+      {{ SC_(0.24925849334950778558742528e26), SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.11646010681447365669777654446715227593887198721003e-10) }}, 
+      {{ SC_(0.9036469625899950631026688e26), SC_(0.690641880035400390625e1), SC_(0.31148497090217722784373888164259764652317411281318e-11) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.52109798218409315418287118331564136634721278594953e-13) }}, 
+      {{ SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.37530178368631060137545101809988924309836018928577e-12) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rd_0xy.ipp b/src/boost/libs/math/test/ellint_rd_0xy.ipp
new file mode 100644
index 00000000..98ccc815
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_0xy.ipp
@@ -0,0 +1,327 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 315> ellint_rd_0xy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1535471523766956940812740575030356968495e-01) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.0717437558448518532547462405404765555061e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.3932311031545657646532945220596007253853e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.7212017845697288356792294777473638606630e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.7957823840226308755899329594824613400050e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7668041410711055565150911102514168202444e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4082635211423949270899273279208849948950e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0936577106018600550050948059701375535965e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0927224311392111509762300524154616559408e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.9485871370522737614280788081416848501852e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3014199848886343378433644802101640228147e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.0902597114493739169492153846176680961120e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.4404743630872601322044219411211264448276e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.3779123950369648728047021976232506904878e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.9553078037776762936055219615496245247262e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1149689157296335195366526849328034623716e-01) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8114409309837769194419921246829335385283e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.1568930269574426384779102130227276981098e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.5767525643841455625283023794245840260592e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6820297868146892795440731689537930997924e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.6862882532642917151465380550351898517426e-02) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.5687807504428616241526172398845335284954e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(4.2289312061252897769651810081962246336551e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(4.2262639826525273832481442078736914481815e-04) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3005914606163249287858300403301553768427e-03) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(8.7527061275689414611715799582698608990927e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.4535409782603055849685563830711171450890e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.9073704976572940077629969910512432912632e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.3349452459505100204280282587700733194320e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.9909978426640776708381029382899087147669e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.9891245393051668897946620265205248403917e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5823987072748828091052496666380391631277e-04) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.1429195212919977953619739244141503140663e-04) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.9917519936228419123059158772350843142112e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7030839281444140570561947384523774827058e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.5204980262938681215199126994932134768379e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.5195523358542722821658420349935283253579e-04) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0188023759871918599799414541910734574022e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.9392327050933260625428566858473981429774e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.1584262767962584654103273143367947153104e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.0819509137639013935229635108953892408397e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.5588306323552019123084706590382894161520e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(7.8884109703348368548014504318992881174567e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.0577386749078984476952689758438421525050e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.6777219449715619506727273677497053963863e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.0815277835937081136681849476938325610455e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4777448455434448246212099061872541530503e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7590243684217373359283798110125577233594e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4928844475182541219856740935350581710332e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.4025621862177645484625664359755473111848e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.4016902496412669834209086627922066206588e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2123449557430056053937740985283279503714e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(9.3998171734539930021130833248307417404866e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.1704152662667944691518160451066475832448e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.4504528346111748935012060692543789677237e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3799361701054879622124170730583183096221e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.8975724141193394125400099991579415533477e-05) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_0yy.ipp b/src/boost/libs/math/test/ellint_rd_0yy.ipp
new file mode 100644
index 00000000..4389fe2f
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_0yy.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rd_0yy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.5075933427301716232672795034855345692850e+49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2199407235554817226615307866947803938564e+49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.2354891815381075869697810446193501064438e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9591526532522238800125709320252743161241e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.4391377787499269400927485477485886768717e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(2.2034876750953806189172437564774275736541e+47) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.1318624868386456742114211802159880281555e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(5.6396714463599834543132107821392013656837e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.2899620817873123488958262770226551475010e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(6.3571243221039164981188237286935464910062e+45) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(2.9246892262678841512667853928021133305832e+45) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(6.1778490048502380351529857344675390759941e+44) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(1.1755200971350565530931192470231204451937e-43) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(5.5908718690751496153521322929883094013480e-44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(1.8110462342888698713130034708115039083540e-44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(1.0494225253714638031453061402424236164186e-44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(3.9417887715248635810294861925054143971404e-45) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(8.1418947679419291958629669368504135508466e-46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.2683174122867076063900066892540299647201e-46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.4538907408092340225382513632512530627004e-46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.7023278833342860065376684855651586923174e-47) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2125438583023261721596118356642995944174e-47) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(4.8196665441053827803014265044521328436745e-48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.4686378906513292112999070481163903409364e-48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.0708723963212168362133117338203669626452e-49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.7437463494176452573758584103072608457383e-49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.0822723761830381176597034725085270215632e-50) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.8838098141007479934327118196252617895602e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_data.ipp b/src/boost/libs/math/test/ellint_rd_data.ipp
new file mode 100644
index 00000000..64e66433
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_data.ipp
@@ -0,0 +1,214 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RD, each row contains in order:
+//
+// x, y, z, RD(x, y, z)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 201> ellint_rd_data = {{
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.20551372495384815463856604017047221545095240191057e-7) }}, 
+      {{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.26827491422802771467722943731540343461246213838861e11) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.10585138723496739834534066073267118675522211779171e-31) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.15139742233407639223792275679902886417433224652453e26) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.66117253645648417600031762235375783237535720054585e0) }}, 
+      {{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10333434770883940055455846219131687005742728721005e-37) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13550514102538012513935665942320904977981297554257e0) }}, 
+      {{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.85856403820113222790454310518632166416049096576362e9) }}, 
+      {{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18256962837089036695688975681087926934231777165353e23) }}, 
+      {{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.25853043071836854153543603031360043116599575432972e-30) }}, 
+      {{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.25453721736248252436275234446728359554220261644493e3) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.36729174819285901249546490822632941293048355712711e36) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.10781910269701214744433782310389927085727282773814e19) }}, 
+      {{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.99577870866168728614595399908281899687867831139901e-6) }}, 
+      {{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.23283511871909436551998718906785080640182682915363e8) }}, 
+      {{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.76237261396619453885730994908723652541092525168043e-6) }}, 
+      {{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.1687006236430131643441016712281856878753726523535e-29) }}, 
+      {{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.18485690522734605390476411600907452658544362635922e-37) }}, 
+      {{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.54257544703354289137242893169458880766652554745316e22) }}, 
+      {{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.249241547815296223838694888499925239323224138633e-9) }}, 
+      {{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.68052511685869677076187126812000404571638179018885e22) }}, 
+      {{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.19125532541215326384896730405964498227631338694385e-18) }}, 
+      {{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.70431488067233168809120506088634745460689092194161e-5) }}, 
+      {{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.12588696277491280442424745508482566976425259261561e-18) }}, 
+      {{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.27366411869676160015961055866442893198667542321359e5) }}, 
+      {{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.13886820075171731514726499953757541277555907027004e-11) }}, 
+      {{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.10752772537029819829836280199737653161290081988757e18) }}, 
+      {{ SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.90507658227268922734361508605808168072270615976688e4) }}, 
+      {{ SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.78343915398198934519415679862427240727586271564883e15) }}, 
+      {{ SC_(0.56225779987930131445265275562229206527363467582603e-24), SC_(0.59220483766176692878700381014733800100202643079683e-19), SC_(0.170295034922225631232e22), SC_(0.20048163240230817674563773499193885173665982026089e-29) }}, 
+      {{ SC_(0.63171350201374448567926894124993295043246632758382e-24), SC_(0.34594001439795600424927311319582115491182941913878e-27), SC_(0.63795086741914598182229839666991088459324643622494e-23), SC_(0.30128244387255120033790929863955407018683622956366e36) }}, 
+      {{ SC_(0.13769532587968157644195235343886302517048270122046e-23), SC_(0.2007315487162486533634364604949951171875e-6), SC_(0.484821384427736035149791860021650791168212890625e-10), SC_(0.13804448026385854623972866111304415486550268685946e15) }}, 
+      {{ SC_(0.1809900535358029636909945199492450026643175498009e-23), SC_(0.4521496521192602813243865966796875e-5), SC_(0.8669365225699721122509799897670745849609375e-10), SC_(0.16273113459057256254769276696724703797987842259227e14) }}, 
+      {{ SC_(0.23768503319901658006414734019219381138884883419848e-23), SC_(0.545301093941248e15), SC_(0.1237108193663516431115567684173583984375e-9), SC_(0.10384732803004085499895888503014146907429299054875e4) }}, 
+      {{ SC_(0.30307608021550191165014175615417981032514993522398e-23), SC_(0.112407951746718026697635650634765625e-5), SC_(0.2082685879058432e16), SC_(0.78504137547976820009624215245629935490941195781392e-21) }}, 
+      {{ SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.79176099627370786959440226480012961415298742955765e3) }}, 
+      {{ SC_(0.13102694856934221302627057835335012189043046859638e-22), SC_(0.557648090759990083584e22), SC_(0.511986668338959560742296162061393260955810546875e-10), SC_(0.78466137092077764354738487755677479556614922112935e0) }}, 
+      {{ SC_(0.22752379870925977520487843277428559665698237779452e-22), SC_(0.169495918280704e15), SC_(0.106314858496e12), SC_(0.21650121297190654998249828534683860885914030587266e-17) }}, 
+      {{ SC_(0.25335998731998849030698736206528910198942927678445e-22), SC_(0.99404931640625e3), SC_(0.204871795654296875e3), SC_(0.42132166564785080959023378471888313620164092769291e-3) }}, 
+      {{ SC_(0.34646067293379381351152691325339738961930358129848e-22), SC_(0.26973976499394821796760860105960760360263583912399e-23), SC_(0.238645943284598871514390339143574237823486328125e-10), SC_(0.35432548942737632785957707186626141058866961729541e18) }}, 
+      {{ SC_(0.71863877935764437100797607417958061393203905709015e-22), SC_(0.174722980453023744e19), SC_(0.13073324703744e14), SC_(0.1736004266338139270794293208784155064732837114576e-21) }}, 
+      {{ SC_(0.96362472102334232055222076765519517715929964651878e-21), SC_(0.229194643907248973846435546875e-3), SC_(0.354709317473833607436972670257091522216796875e-9), SC_(0.55865475580945127826780252757531774517543358031385e12) }}, 
+      {{ SC_(0.27589042212186362242123678200494962808875243354123e-20), SC_(0.16342684e8), SC_(0.10564504593401150001064081607182743027806282043457e-12), SC_(0.70232843197284835279286086968072241001475849391442e10) }}, 
+      {{ SC_(0.10233203223084091273258880352287070181205308472272e-19), SC_(0.85809811133878005628972118756792042404413223266602e-13), SC_(0.231948544e9), SC_(0.21282358830663000454676497251299241238551176927446e-10) }}, 
+      {{ SC_(0.18673345450030310831705831391483241255002667458029e-19), SC_(0.16140768350376832622251404282443946390469477480956e-24), SC_(0.35751782069791464758326094786154009108614104661683e-22), SC_(0.57362515961254887975882907105995424791809261862104e33) }}, 
+      {{ SC_(0.21109476364529939751075359117074570214356299402425e-19), SC_(0.8756801014807582267041677127782781970980266472715e-25), SC_(0.19232578752860259808180970650021732008816410797181e-22), SC_(0.10040849239749431240730130421363049484424180456536e34) }}, 
+      {{ SC_(0.48988976909583188869227858043553514022505623870529e-19), SC_(0.20838384443777613341808319091796875e-4), SC_(0.15278292e8), SC_(0.70563639547351817695354788729725173202298905165509e-9) }}, 
+      {{ SC_(0.82997499668329372719087076888666576479636205476709e-19), SC_(0.13155479315039595949803718770027355301939497866925e-23), SC_(0.1327809695148788465823841420387907419353723526001e-14), SC_(0.32382452643409713657086228689471450756020929884496e24) }}, 
+      {{ SC_(0.16677509527778160624086499150275919589603290660307e-18), SC_(0.50082130538252574789989333416135111329551950562359e-29), SC_(0.27393523857242675896004658903787332135948417999316e-20), SC_(0.26379890286497467800536742716267974869467674676907e31) }}, 
+      {{ SC_(0.30420727664434581210352358596193944606511649908498e-18), SC_(0.28656053473241627216339111328125e-4), SC_(0.94969911521617292598785838378394608128019171999767e-19), SC_(0.21152520435266024826733886337057191990575481859773e22) }}, 
+      {{ SC_(0.75868695590633990953827528458397466692986199632287e-18), SC_(0.930611462144e12), SC_(0.18147922618313051311153033283257685840533790511131e-24), SC_(0.83768344778024722769204816337111831433373325848511e16) }}, 
+      {{ SC_(0.79597584432992412060764095271814255738718202337623e-18), SC_(0.75974287571611502022633594876763844865744160884209e-30), SC_(0.20657736771171195551744e23), SC_(0.47403170903497016250215067728483228381506772219895e-31) }}, 
+      {{ SC_(0.12784377253954858878954355810853016350847610738128e-17), SC_(0.687874899968e12), SC_(0.2496727752685546875e2), SC_(0.14487562897240575462420431915733354323986381404974e-6) }}, 
+      {{ SC_(0.22468750405760049766485005051652734664457966573536e-17), SC_(0.20721947294077835977077484130859375e-4), SC_(0.33333534375e6), SC_(0.1891939096717128299814570834532131624242218004607e-6) }}, 
+      {{ SC_(0.33297255999405977634352134242323728585688513703644e-17), SC_(0.31191365320704e14), SC_(0.2293932139873504638671875e0), SC_(0.23416581491449832804939246015659888605843645930834e-5) }}, 
+      {{ SC_(0.35736448257653877024582131372021365223190514370799e-17), SC_(0.1626183676572159287754752e26), SC_(0.18501463382170069138510370976291596889495849609375e-11), SC_(0.40153851788485548350521938534047362493332593188358e0) }}, 
+      {{ SC_(0.46871312598868006987253009842930850936681963503361e-17), SC_(0.3093168493023691324522496e26), SC_(0.16793731632787596740420928687663819571897812904515e-26), SC_(0.60797270634828688834833132685695209121001352766598e10) }}, 
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+      {{ SC_(0.64654147584e12), SC_(0.24521487702843957217058619392e29), SC_(0.921704585926541312e18), SC_(0.20767896690791054519935065644432011180835481458451e-31) }}, 
+      {{ SC_(0.1494682042368e13), SC_(0.6869200625e6), SC_(0.12406291034494643099606037139892578125e-5), SC_(0.26581052905672381844740821940931122853787851217105e-5) }}, 
+      {{ SC_(0.3518738464768e13), SC_(0.98092148011034996368806559985387139022350311279297e-13), SC_(0.8399241342592483328e19), SC_(0.95255153845747286192062451983557134108999906775529e-27) }}, 
+      {{ SC_(0.395945312256e13), SC_(0.516478977703936e15), SC_(0.68443482659479816375487801854053577534347380106894e-25), SC_(0.2535778278917846265208084888613213161043251220247e0) }}, 
+      {{ SC_(0.589840515072e13), SC_(0.11837831633021164326650292224515978315498715423004e-25), SC_(0.27219574150194603134877979755401611328125e-7), SC_(0.45380850193684529549916365876123433705384130624401e2) }}, 
+      {{ SC_(0.51712110886912e14), SC_(0.156551992965379627797503279104e30), SC_(0.47173579223453998565673828125e-2), SC_(0.15351343966945931206569033370561284731402195178945e-19) }}, 
+      {{ SC_(0.86229714468864e14), SC_(0.14452686009774895481427847698796540498733520507813e-13), SC_(0.669478515625e5), SC_(0.48256534943951386340918361637227021878577560800017e-11) }}, 
+      {{ SC_(0.8952989351936e14), SC_(0.5821022205054759979248046875e-4), SC_(0.16930462580604928e17), SC_(0.41100941381473513911311626770434246282405013362988e-23) }}, 
+      {{ SC_(0.3135611338752e15), SC_(0.2348838144e10), SC_(0.111468466401642984919817536137998104095458984375e-9), SC_(0.3310987818594775551634409929713950668720513185194e-6) }}, 
+      {{ SC_(0.323813657018368e15), SC_(0.156708486328125e5), SC_(0.16682115902222024485246354430501014576293528079987e-14), SC_(0.32606324691495083414901689521365944975222646764363e-1) }}, 
+      {{ SC_(0.95759886188544e15), SC_(0.4659874708323741288040764629840850830078125e-8), SC_(0.727262651482112e15), SC_(0.10816915862847177055794166008038797474693843131559e-21) }}, 
+      {{ SC_(0.1551973144854528e16), SC_(0.10139344880747031860591903938868807433237861914677e-19), SC_(0.7740245504e10), SC_(0.9838251718134408598992601115526735906681602754507e-17) }}, 
+      {{ SC_(0.183459460939776e16), SC_(0.58535432060362684618705258305616519358052915120161e-26), SC_(0.151380081803154098452068865299224853515625e-7), SC_(0.462681848842073289149702267338964557315073422797e1) }}, 
+      {{ SC_(0.3762704347037696e16), SC_(0.10164524532769642241629852708355797252185587220552e-24), SC_(0.27152649027584e16), SC_(0.14699154732025769283571926131601897366775031030076e-22) }}, 
+      {{ SC_(0.6551729407524864e16), SC_(0.25762003497220575809478759765625e-3), SC_(0.156271296e9), SC_(0.23717202528322099316627229293548821703600369558169e-15) }}, 
+      {{ SC_(0.6565417468297216e16), SC_(0.174148595112480631422976e24), SC_(0.187841462272e12), SC_(0.20361865097500372485155107117802705969273207578608e-24) }}, 
+      {{ SC_(0.9007602981666816e16), SC_(0.25765624e9), SC_(0.1591604150272e14), SC_(0.19726797826086290726900599041820484051327569566171e-20) }}, 
+      {{ SC_(0.18448819419086848e17), SC_(0.55460104261295954577309919031335994077380746603012e-16), SC_(0.154132149174272e16), SC_(0.13580314631955561794382801022694745071290705109491e-22) }}, 
+      {{ SC_(0.41172763385266176e17), SC_(0.69560673828125e4), SC_(0.747194576263427734375e1), SC_(0.62793115296093377148750971856138022413722904539364e-10) }}, 
+      {{ SC_(0.59877638017122304e17), SC_(0.53512100536178474827209150532780768116936087608337e-15), SC_(0.60865414403362585004788968196643994088311036341765e-26), SC_(0.67932276518492118905647587709216361710433902821356e13) }}, 
+      {{ SC_(0.11384566732292096e18), SC_(0.58757351632535552e19), SC_(0.273440826416015625e3), SC_(0.2218197410675072553866425364806973969075261727874e-18) }}, 
+      {{ SC_(0.128395461743607808e18), SC_(0.206836903384823477636694016e27), SC_(0.53310077419155277311801910400390625e-5), SC_(0.25213187167619695580929289478697105906035912959449e-18) }}, 
+      {{ SC_(0.245924553149120512e18), SC_(0.12432241406593107741605394588021265875441186132822e-25), SC_(0.11698430441812742785454260394458960094979845402414e-30), SC_(0.15814359980865698013833243813020147773628412638471e21) }}, 
+      {{ SC_(0.304309702915784704e18), SC_(0.530327327997952e15), SC_(0.10366431646728266850195727608041629252966231433675e-18), SC_(0.73346046074259210722247465233594194982314902683682e-6) }}, 
+      {{ SC_(0.351564170056957952e18), SC_(0.39915753210320770987303899714279126384431587576396e-26), SC_(0.21695373623974084952946051325821291927687106275468e-28), SC_(0.16012914574357507234163722206932362300988672115721e20) }}, 
+      {{ SC_(0.805980574786256896e18), SC_(0.7298279296875e4), SC_(0.135008262029312e15), SC_(0.24742374685179778771251059396546742229781662198914e-22) }}, 
+      {{ SC_(0.1429457475085533184e20), SC_(0.14041162752e11), SC_(0.16802999673239973138530304e26), SC_(0.32121431604673931143271876891436876644565038320042e-36) }}, 
+      {{ SC_(0.221162365880631296e20), SC_(0.4426536e8), SC_(0.89961878334825112180062577083017316681434749625623e-18), SC_(0.10108911246070441761891693525755853616606808949316e-3) }}, 
+      {{ SC_(0.38083625921602912256e20), SC_(0.14043506688e11), SC_(0.13209346463532805303342509972708285204134881496429e-15), SC_(0.35692228203582006473843647627664557137685858827968e-6) }}, 
+      {{ SC_(0.57692237126522896384e20), SC_(0.63429242800339125096797943115234375e-5), SC_(0.31824542466005171886425636864e29), SC_(0.55222293820695175519018810756922011735863676741191e-41) }}, 
+      {{ SC_(0.6036870791327383552e20), SC_(0.7191220191232e13), SC_(0.68897207938789506442844867706298828125e-6), SC_(0.17346553888445511526875601632160113537907688737997e-12) }}, 
+      {{ SC_(0.113674073964877447168e21), SC_(0.183615109375e6), SC_(0.404058591811917722225189208984375e-4), SC_(0.10330175955957541532693528313466256772187391201874e-9) }}, 
+      {{ SC_(0.140771054246300745728e21), SC_(0.4364620208740234375e2), SC_(0.10711124272997777587041261201942927950011067906889e-29), SC_(0.36980588192743195268081186143904811424184826509079e5) }}, 
+      {{ SC_(0.486625867239520206848e21), SC_(0.2663514463837359985504355062296832912238642165903e-19), SC_(0.4719122320543576863524228422930565122003386188676e-26), SC_(0.12125027886646699970512476707156771853870273067952e14) }}, 
+      {{ SC_(0.1146824826980038344704e22), SC_(0.123134608e9), SC_(0.36464645756234167146109012677852867501115952109103e-20), SC_(0.13220462423972425935917229500420846663825040326569e-3) }}, 
+      {{ SC_(0.317074383652647862272e22), SC_(0.89612589356621110444032e24), SC_(0.2342108211970048e16), SC_(0.11619224315234818923589971905969099280156494799642e-29) }}, 
+      {{ SC_(0.32148523727519219712e22), SC_(0.60515264161661452673922225736467336588411333742066e-25), SC_(0.787468255232e13), SC_(0.67190469656717598102688231195715810897773628309487e-23) }}, 
+      {{ SC_(0.13571258581209030066176e23), SC_(0.2301062643527984619140625e-1), SC_(0.14359374149799930542314996273489668965339660644531e-11), SC_(0.14166931188327778230186785722742287698171547666982e-3) }}, 
+      {{ SC_(0.20821377315431516209152e23), SC_(0.31614863423832064e17), SC_(0.64014885e7), SC_(0.4621406894160877827384001215215505228565154941349e-22) }}, 
+      {{ SC_(0.55817784918415767502848e23), SC_(0.229345916576958775296e21), SC_(0.181080293376e13), SC_(0.62303863493181421011759609358700084332302564282572e-27) }}, 
+      {{ SC_(0.210179409744077661405184e24), SC_(0.775467603201754089842406683474462128114628768627e-26), SC_(0.1351436267417501696e19), SC_(0.48419735649202961080115073168670433174544124355214e-29) }}, 
+      {{ SC_(0.277204771630374352584704e24), SC_(0.178649388253688812255859375e-1), SC_(0.1626075136e10), SC_(0.35041190711483516523923271898554740595024898229225e-20) }}, 
+      {{ SC_(0.286204729096914532827136e24), SC_(0.18205785323743839398957788944244384765625e-7), SC_(0.6443661400749065109504e22), SC_(0.85231956001222048244789008910270023125100724496553e-33) }}, 
+      {{ SC_(0.292186842467552253181952e24), SC_(0.8000304500511383121995759616e28), SC_(0.12346179962158203125e2), SC_(0.17659213899312742611429666455779433659781019844976e-25) }}, 
+      {{ SC_(0.393077021751861389033472e24), SC_(0.85326592849126535957377352366076878413243909232699e-28), SC_(0.11113272845378330266896682587685063481330871582031e-11), SC_(0.43056670697313120117799317169619739766527357451448e1) }}, 
+      {{ SC_(0.48688847917066659823616e24), SC_(0.12212552573408426924125600686592708205013835254249e-21), SC_(0.1269279595243605041993096779751049041351507185027e-17), SC_(0.33543623251839576830546760936703173774870805103267e7) }}, 
+      {{ SC_(0.6959596827501176488460288e25), SC_(0.56396991515163736959758100092886750224006554485772e-29), SC_(0.164767579074269378772992e24), SC_(0.67539896107197358427396075668773079100885280216386e-35) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.33895318467300131244893458519885746926814107382597e-21), SC_(0.21606569536016446005127644096871253975571307187249e4) }}, 
+      {{ SC_(0.66192871423119660955992064e26), SC_(0.65104581211365760324995297566040105840304400052279e-28), SC_(0.700861590985368820838630199432373046875e-9), SC_(0.5261182706092194133617741726329224767119336720926e-3) }}, 
+      {{ SC_(0.9036469625899950631026688e26), SC_(0.690641880035400390625e1), SC_(0.1238969862461090087890625e0), SC_(0.3008677996342580895031853541445446250478520113248e-12) }}, 
+      {{ SC_(0.351293559140227787146657792e27), SC_(0.92746285056e12), SC_(0.7325884342193603515625e1), SC_(0.61405412064015393151121436181259576895276598600887e-19) }}, 
+      {{ SC_(0.48555353730121618377670656e27), SC_(0.41366469991877353664505423235416110752209856263632e-29), SC_(0.1080339869874636584075679427013641468012674864323e-29), SC_(0.42620833187540100646142696579397880259804927864477e17) }}, 
+      {{ SC_(0.3196617981363007079661436928e28), SC_(0.357227936120807498809881508350372314453125e-8), SC_(0.190531306287766710738651454448699951171875e-7), SC_(0.19434029391873011348314670331341701583590531402094e-5) }}, 
+      {{ SC_(0.4932620110638545248192561152e28), SC_(0.39087764918804168701171875e-1), SC_(0.37496308203098109226999139757157200603110425163322e-21), SC_(0.11157521852141686174291251786184006118424156415823e-1) }}, 
+      {{ SC_(0.516425012058796509045456896e28), SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.14487121655367107180122470700505306007568660707101e-13) }}, 
+      {{ SC_(0.6724360036363488659828113408e28), SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.24432489934783656632287527852861417375460919006681e-14) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(0.60499813791534240550577796444003132563462392194689e-18) }}, 
+      {{ SC_(0.1240879712420966629044649984e29), SC_(0.35030939907262229474824187104684165838808240778235e-22), SC_(0.23553908385443359223970771765266363217961043119431e-16), SC_(0.11419947735685798535870442055414653068651348519666e4) }}, 
+      {{ SC_(0.13622372113626680630865559552e29), SC_(0.5065993732313771067901500902430633743733778828755e-18), SC_(0.1568245533434264871175400912761688232421875e-11), SC_(0.1638076044611111663076389515306947175644793927095e-1) }}, 
+      {{ SC_(0.21413030105610117647127543808e29), SC_(0.56796892335439872e17), SC_(0.44545595303495604738852208133448318250202646595426e-19), SC_(0.40758436912717219001309081424162965116278950127384e-12) }}, 
+      {{ SC_(0.240611655851932728105631744e29), SC_(0.15126033260477136128765155826087636266509091563425e-30), SC_(0.147685372829437255859375e1), SC_(0.13095601170876630580259197493117307804833462447144e-13) }}, 
+      {{ SC_(0.61731988312258099732254031872e29), SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.27051189723173151307626070067360099122375990020391e-23) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rd_xxx.ipp b/src/boost/libs/math/test/ellint_rd_xxx.ipp
new file mode 100644
index 00000000..fe0a048c
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xxx.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rd_xxx = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.1591347721157429088009140561489321101032e+43) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.8025426768813065775721805427136387158775e+42) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0178282889588961387363651548386847505189e+42) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(3.4937596204375519072486799492055320404445e+41) }}, 
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+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(1.0776560212334060415241952783961381215531e-35) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(2.2377020720091407413010659087995982032280e-36) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(7.7252555568665586603456786042795749256475e-37) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(6.2637864895364561301401520132953130469257e-37) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.1443693720668992815087263609302554517038e-37) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(4.7857440881650091612417628752981254574601e-38) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.0181210624874437322755542031848925852443e-38) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(6.5995565192110303816586016066095847879993e-39) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.5434428391334568706163940836113767799054e-39) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.4435205502650156869693831753504925796075e-39) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.2890972193469096777795156856123092483278e-40) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.1879107327559925906773287960526392067809e-40) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_xxz.ipp b/src/boost/libs/math/test/ellint_rd_xxz.ipp
new file mode 100644
index 00000000..6a528636
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xxz.ipp
@@ -0,0 +1,2222 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 2210> ellint_rd_xxz = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.1729774060187396418734621828274699612747e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.3312252938058544760835135287445262528222e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.0227584282918582236074076402509358426243e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4539203324363904751954428097993467309857e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4240309679900508133443914465912158625130e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.7786425189441016395854928526960023534503e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.5710633131773955520491894261178178291128e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.9359692566263540523248348829381845324303e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.8751272445426829663670803804218431845609e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4656281703014062233809281154444072147164e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.1466944844283789377662915006014331305601e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.3073739283855831959413973555386308088251e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.0113132412642120695111732071485412816518e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4469679720331167084127612879437299295164e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4003790790412127063242409405323247576986e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.7624693106494046512166637272725660247055e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.5554758595744044948679856024413058292646e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.9221727580012500326042500926763601873153e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.8615022209333791619130740324949397655333e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4531567828677914884665506556333330618155e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.0047725349613939931551999426268476384114e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.1785818431428300552674242497718142645410e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9495117687987799243432748464968655622362e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4094267672459153730282695832282665428704e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.2726641225187679663775650541315334052783e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6751375715796954371867603818022374242264e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.4713070659736962262481325881424515110478e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.8476747242129725321352674743936122490323e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.7879301142131249469905457711840371373973e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3858140557264603688233601519532417524451e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.9279749196045328084176121060778707093066e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.1088891348575486303084504417650410267093e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9160694032681964614512418356787010074384e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3891122562339923821773133571201934874878e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.2035542762746489332453600731205147667677e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6278801224626967903300409747690277628734e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.4257611679623253136138660115961731766804e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.8073619229500113510738170335933499777917e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.7481183558902137156046036118203003819946e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3493731748373129081906548824050096542012e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.9038743639326374671067166838560853435625e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.0870182344637055237601894592148522677315e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9055745514616072166864122404861810954044e-01) }}, 
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+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.3652790808826649272716104078525258057472e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.3798724880621036530467106894947201526308e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.2404114896007125878987235397556909767906e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3197946331435745057167381007692705834050e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.8115620954018487974065083870362709570411e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9627223334921695778563121881677660386312e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7291618575396371717304772651932304881450e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7080292817713301649782808974573191533435e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6399346716468353389483187402422634859258e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6331121442833260039824393622776132806608e-32) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.5856543047335855321309845355318292595459e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7743985161295056824799277292213326117514e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7178992939712549010388183149488991980917e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3449338278592213326342144496702427434339e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.1390358106736435394275371334474689522959e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2647183227539062500000000000000000000000e+02), SC_(7.9514908381811506672495347901524150699284e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.0052775338298164487781066513903600100060e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.9196640572103880225596279202246144479724e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.6437953521495673255109519775771602040230e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.6161555465089693021490082261081860469286e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.4238916842497501091206740927035407321468e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.5924789782979559358193220228045209408657e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.7095397949218750000000000000000000000000e+01), SC_(9.2870416168954001760193843028544556073657e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.2707733655474819038690969069436163661693e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1576793319511792763277696450806439273461e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.2986120658936894940455644246416205884746e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.7870848554914486482522940938821722735142e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.7408018211411803305252874166929449816275e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.5916659460820365662423384153279131374426e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.5767237416019508363475128525937539454150e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.4727850243271598647377932835845763147398e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.3437285832763031573618224652692810238308e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.2054184550887524949302306061209177489691e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.2923987805346698130401002920346016142913e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7883603165937806260375375525928986265215e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9465254123863504324837609938872316523974e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7148923413131987000387755006924734710399e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6939341573356414033209340712120811653537e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6264014825440757226706444916873512640808e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6196352565409592674721840518726665424248e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.5725690520533584398008230590694101686862e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1378372968797138834159397352170190983171e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.0697656978129653863457391706711049661248e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6204080835822751147784067745530077398524e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3723372829748305508427871831946237053240e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.5801442151455998796874454482513241844424e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4401240480534191819234381170635324120181e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.3369749066577244571146824170958056041267e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.0046017664866090143251205970069880389738e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(7.9713006749675130788701084211445556631498e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.7396566266640466143683913800449276665605e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0493210917310457269854064486030985652322e-33) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0159093046166320661735994635763629484111e-33) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.9534975921511118072569498199954171615310e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.7358842419680625286869940678948403281373e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.7022509156565904660880295602046456658203e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1426913981598371616552690565262736388178e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.0920623957477137749277573202349225488389e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9289226905814350994839210412774023123645e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9125774159622416073097980415761350788085e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7988788730405868715932338986967991888257e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.6127312541610546849641210212785149397298e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4658557211192255048920416451074078719090e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4962936714335633607728600367370822203049e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.9610406206626477900363472992392324941539e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.0670717413841971147853115344933008984511e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8210938710011131543725308813468116537906e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7988377681138516748270736691492687086743e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7271228638061820885802661067392581651399e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7199376123433129628092410593402075217247e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6699566459241499291562877092138433464802e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1615297421485730363800317663226072790198e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0608624063512000331422527742044627038336e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3963321989660186943685167196210441063302e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0294739654494892973943507407364831779446e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4167547228436057228628980462595127199327e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2481634240496495585128099662067737915017e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2329092660800252694011338921477882885786e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1837564343993353121070826565567588385356e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1788317195280353039705317161574112528990e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1445751580314231694822048727675807612535e-34) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_xyy.ipp b/src/boost/libs/math/test/ellint_rd_xyy.ipp
new file mode 100644
index 00000000..da1bbf3e
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xyy.ipp
@@ -0,0 +1,4432 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 4420> ellint_rd_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592463668244161693249328590e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128526481129430827158484300e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616665111041605346984463436e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015186474500095957815617283e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344934405601797520127381891744e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810598841378477161469121762e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193503827316373331771524134e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451387565581414318877269354e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719725465805454374528195790e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889905360955633350988932877e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923051005687741954091857454e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709674579410269944132769418e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746731317962082074193144655258e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530792560609332066694353330e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173675069868630614065798899e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179535607048988925750074078e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796476632979656808138207327e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680807013406118227242160325992e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875303939139480354482446474e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494782993229427127584413524e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592428693063592477502832051e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128505845781773244953089769e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616646981036247416431322697e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015177097792012630447130081e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344934337491810714870129666666e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810555938727312223901520997e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193468787917996494270102021e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451376439488321530655317755e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719714353495239863343699073e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889897039460200153942833040e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923045992563007219029292540e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709669806896729149278933089e-03) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746731277404494598511960043608e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530752673739531803239720418e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173638774989609021360817226e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179499865372201130442814542e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796441098310035447256899290e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680806977957446576083071640477e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875270184422973945082765490e-04) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494749480620464778803160868e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592154312222498340658909625e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128343961155177754851881669e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616504750859356531627594695e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015103537369772464578113906e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344933803167894086236330633814e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810219366754838548192739926e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193193903287192577130655850e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451289155113195877036473102e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719627177247010849116341518e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889831757197779719439786366e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923006664520697206981687884e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709632366453016071631924200e-03) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746730959229583612599539617679e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530439760619247832221792707e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173354041093420937933844783e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481179219471356229078989574152e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032796162328268536562201188968e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680806699862060504627749940689e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553875005378141628406606403980e-04) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494486573676606379934780344e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867591920100497870908321494623e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128205776297100913580924791e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616383343056643914550894167e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015040746129361912702953866e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344933347068534071733932343691e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862809932068626368743942658044e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884192959261527230656132837395e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451214649094664527287578638e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719552763525692524658195649e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889776032201792026533780048e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025922973094069571983069175464e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709600407257695113764891204e-03) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746730687635202831387199666282e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530172657707586752329245593e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(8.8910571295976173110991991959734135124698e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(8.7892249188481178980126780295313857258973e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(8.7510184094032795924369918625701973029157e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7351297493680806462479597053468851259334e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(8.4201578780553874779339269530784290881262e-04) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(8.3748216146001494262156080639913873566037e-04) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867591829315483978963174064105e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128152213161949936850473991e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616336283034036641069157292e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015016407024895505725305955e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344933170275562665664336129096e-03) }}, 
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+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(6.6397554605981051699613246304733707025206e-19) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(6.6204996081682404246764962289117153372232e-19) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.6124835716562365553787053064668189738176e-19) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(6.4525570885402204440315128802580755607591e-19) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(6.4293747859319713649452035171671364385137e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.6078739500300514146764861339701702583753e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.5393743783998086912112657652930573520027e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.3175660178301048911388909578750808651178e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(2.3858646663016350409502486705089899701014e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.0334149194343744109141942570438280119565e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(1.6138481648916715459614950112101512304127e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.4584747945439154709606900580377389335781e-18) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(8.2184885102425490238573041376492892262731e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(8.2133964474524814371065766591942446357273e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(7.1075724814499212974388191473123360622097e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.5166427806915730704966014797087828862680e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.3826258439260637713207105216042241011011e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.9619989085988583751019726828266490563758e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.9207985427799872848800648249794921522583e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(4.6940021502752659693563561272513627642843e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(4.6580920790643406979187417388695622161430e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(4.6445832180510911092923774758109344315903e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.6389596018797370733907072848067413698331e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(4.5267638608383604057208373998781739322095e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(4.5105004154758364084699730913880291629295e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(3.2282522823976040134759825825520033470743e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.4796670957664251795901474615439740945874e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.3242693235987756968733848425278978409999e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.6715242513154726204680111560653428114936e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.4245998102188858778700470243929219729354e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(1.1306535461372040613168321199566819411954e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0217997791096401782713276210167514415900e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(5.7578298752890066237432407685124256663181e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(5.7542624028489151601148080928957616827199e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.9795279416003705098762573521973196186415e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.8649309510351707799670021362800127823654e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.7710393891814943807615450526922834826096e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4763503680117411645928879276551995594804e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4474856081609385184807584708012241769649e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(3.2885932470237302191344306830914424126595e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(3.2634348397832339912462879893508522198574e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(3.2539706027247678888125314386632583482682e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.2500307267782083387311730822731369982090e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(3.1714269800134443835516649639245847839863e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(3.1600328956308031409023712041189967087512e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.1403871837194589617838885319256684956987e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6440622378271807526127583853975522723907e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.5410308230459404010138447676150975801272e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.1082495331296592657624084652787803699023e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(9.4453435140362001267109856597298034266894e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(7.4964288651619345107511001358955861404927e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.7747095338823424316949056736284048168836e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.8175409457010122546693209595791622066336e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.8151756496766962396659984960984452164430e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.3015132817496686025915899991544118192005e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5625161697128702332876492648559084713291e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5002644377937784547462831853503101789182e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.3048805120907603424362769622215285680611e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.2857426763080150626053797140922760566657e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(2.1803942885059252073188037369479238976747e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(2.1637138287060610440006158670843839995431e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(2.1574388755947203328300458397821466252666e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1548266695947612474115645008168854378744e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(2.1027110238984843831882948514678172190550e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(2.0951565485819794664053980135052578987075e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.7719925899369313290190047756517988230511e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3610930419431700488849928063450836313291e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2757949683461240997594281285166767113894e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(9.1750220494882991418993129407640327672862e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.8196500350913776977796036365605486802216e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(6.2061745188422665963567444114149624840842e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.6086745353022335099964194805581072643208e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.1604815796961264278169881297131007863620e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.1585233886454718209830770323638156108263e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7332704640253384536921231356639774308936e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1214664799263404674943146441907225126783e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.0699292587588690766546303957780648214453e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9081740066381317393062114455040211425352e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8923300960352268421801322725701666985385e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.8051138372354016012781363357069269282075e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.7913043492199032361559172954398611972238e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.7861094150976688243755410490597874417304e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7839468111956623776541243678117882283457e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.7408010949925301907540117545734088689266e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.7345468647375882723722704263461447446576e-19) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_0yy.ipp b/src/boost/libs/math/test/ellint_rf_0yy.ipp
new file mode 100644
index 00000000..5d998f48
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_0yy.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rf_0yy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.2011134328710924123568675963633830394318e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.7554800327933727372706425945100239072845e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.0497548397148665107630958693942691659345e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.4770853493447921736098258541412996180989e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3327549053323440668722578635205718335450e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(7.1299481820424706099755641475235630224298e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(5.1142211858846531258743753567048129710036e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(4.5268985959206997318160223917930173682065e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.7684826947146390333934627850738946314261e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.1867697952837347494353619419469972994415e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.6881436782981871757856272617193320335881e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.0053761877394506247990797590547509932445e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(7.8205916286975768201582362951392158530002e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(5.7358355870132192845036795529116466004622e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.5549311045264652089376376128995610653495e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.2146441588391558634818947164424977714924e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.5800762651540760009290282618266899294729e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1063287981858817479953084254076726440032e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(7.8855268369770930868571674694699148129542e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(5.5719320977924261881688450263574951885748e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(5.1367451751815636329822746455279713646875e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.9747781801253276176729006565683786122303e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.9685265364185948535157211661215046822256e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.3882587999565971273272148568313421369529e+13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(9.8763343682942275756205942653797662676068e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(9.2738554900908167203450178512952653860378e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(5.6684142446104558263603119935472584223454e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(3.6429825099820212175947594284015184803895e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(2.5744215342633328942805828125611602544858e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(2.1446665353906586866868265233747971049878e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.6162490583365811137699525978529227826072e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.2183400849218288532388652854576933184887e+12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(7.2422982183606624987687287777721105859382e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(5.7893744966269982332281168189872602674103e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(3.1195501204171640382171025842375559943751e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(2.3842628176476240945263649326315534217229e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(1.6126332229905406201327391876664749008560e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.1138255311266631150972773089885656032494e+11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(7.7113062404087698433811707306889246281285e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.2245724495240543440623392598135079959691e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(4.1944358640883529139121930351099815544535e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(2.8462204794437549144654032012692583134977e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(2.6516754922661909029607830047227924204839e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(1.6354934142720324169448881162436143268725e+10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(9.9226141924086718379281058590373925860419e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(8.6667651733785352367471433771143838329392e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(4.8512349090701506431913612732538796091145e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(3.6790397179943982356440079442363105882313e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(2.6035066936056491931367579338946949032797e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(2.0168170227020895599392377803929816915151e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.2721620221921002600233735750816295018705e+09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0195417624247973304059400323495765405823e-18), SC_(3.0195417624247973304059400323495765405823e-18), SC_(9.0396029817777994373227376201042335410798e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.3874071369279596499575470045503802273474e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.0233193632958864486594274811892546495073e-17), SC_(4.9103707156177871496158616957815692215598e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9321026667662503885011804349858266505180e-17), SC_(1.9321026667662503885011804349858266505180e-17), SC_(3.5735904351559194482707033465014385210959e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.9470861839323539803359164324092489550821e-17), SC_(2.5002392715513164130641809006634693728021e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.1897463183816027049166663687174150254577e-17), SC_(9.1897463183816027049166663687174150254577e-17), SC_(1.6385817577550454022059551703002701492381e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3032517747881629428807759296660151449032e-16), SC_(1.3032517747881629428807759296660151449032e-16), SC_(1.3759597010412717412333655360439245056417e+08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6005563194954166295058683999741333536804e-16), SC_(2.6005563194954166295058683999741333536804e-16), SC_(9.7406232342383903896799298674395774455834e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7816541979623537611532313462703314144164e-16), SC_(5.7816541979623537611532313462703314144164e-16), SC_(6.5327166362641758833061300258289268510725e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5152733329692157082657644195933244191110e-15), SC_(1.5152733329692157082657644195933244191110e-15), SC_(4.0352866155020383319774222880808714672319e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1926103267695439547058100515641854144633e-15), SC_(3.1926103267695439547058100515641854144633e-15), SC_(2.7800135966370728218087169205661553164089e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6658061297861060934266674848913680762053e-15), SC_(3.6658061297861060934266674848913680762053e-15), SC_(2.5943892161934870935090045349620610701266e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3546521982672270478786913372459821403027e-15), SC_(9.3546521982672270478786913372459821403027e-15), SC_(1.6240748999770288374425176465875421177501e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8146163011881905058331199143140111118555e-14), SC_(1.8146163011881905058331199143140111118555e-14), SC_(1.1660776544886839296295225583995742651057e+07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3217629955581990941482217749580740928650e-14), SC_(5.3217629955581990941482217749580740928650e-14), SC_(6.8091376281905587429856036361000129593602e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9467947059743675453091782401315867900848e-14), SC_(5.9467947059743675453091782401315867900848e-14), SC_(6.4413723389236104206794992826588993910726e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3063909762994763141819021257106214761734e-13), SC_(1.3063909762994763141819021257106214761734e-13), SC_(4.3459356461191084104143489741712274663344e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4945887369676178479949157917872071266174e-13), SC_(2.4945887369676178479949157917872071266174e-13), SC_(3.1449981798854718593189457928155871496500e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0679720676778430288322851993143558502197e-13), SC_(9.0679720676778430288322851993143558502197e-13), SC_(1.6495473643217726836011224166830953097521e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6584251333329191879784048069268465042114e-12), SC_(1.6584251333329191879784048069268465042114e-12), SC_(1.2197531310762298663189586952256648433339e+06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3140226673999961803929181769490242004395e-12), SC_(3.3140226673999961803929181769490242004395e-12), SC_(8.6286358235112858037296533013261636911475e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.1657502020695531541605305392295122146606e-12), SC_(6.1657502020695531541605305392295122146606e-12), SC_(6.3259668844539328405151023722522566654293e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1867811141389523754696710966527462005615e-12), SC_(8.1867811141389523754696710966527462005615e-12), SC_(5.4898855107324420145865323923786368221660e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9166314368934678213918232358992099761963e-11), SC_(1.9166314368934678213918232358992099761963e-11), SC_(3.5879846253791511509734305905673752265012e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1331883188510118998237885534763336181641e-11), SC_(5.1331883188510118998237885534763336181641e-11), SC_(2.1924327376165153483968547637051596635812e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1351786177726808091392740607261657714844e-10), SC_(1.1351786177726808091392740607261657714844e-10), SC_(1.4743064853074308777017011514773486132225e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7352735914855088594777043908834457397461e-10), SC_(1.7352735914855088594777043908834457397461e-10), SC_(1.1924382494376618510264692109547130643219e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4085067273915683472296223044395446777344e-10), SC_(2.4085067273915683472296223044395446777344e-10), SC_(1.0121524837465215858139133760308966307600e+05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.7467654513441175367916002869606018066406e-10), SC_(7.7467654513441175367916002869606018066406e-10), SC_(5.6436448157919138830942838835097023554536e+04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3399348297582491795765236020088195800781e-09), SC_(1.3399348297582491795765236020088195800781e-09), SC_(4.2911929132846361808468975183496149896449e+04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0971455683138628955930471420288085937500e-09), SC_(2.0971455683138628955930471420288085937500e-09), SC_(3.4300905777107095945813103793274526878997e+04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1467061723542428808286786079406738281250e-09), SC_(5.1467061723542428808286786079406738281250e-09), SC_(2.1895516259311051317340055158304803232015e+04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0167588950862409546971321105957031250000e-09), SC_(9.0167588950862409546971321105957031250000e-09), SC_(1.6542252613068418401216429250767931535092e+04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6308249800877092638984322547912597656250e-08), SC_(2.6308249800877092638984322547912597656250e-08), SC_(9.6844263027984243181674748885446411463737e+03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1328681870945729315280914306640625000000e-08), SC_(3.1328681870945729315280914306640625000000e-08), SC_(8.8746005771146423099742233788623216837125e+03) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(9.4019890754089219280160210161534082331989e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(5.7029955696704363657183391096410506386339e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(4.2766359466790852949170778955420243416387e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.9463983403307002013779422234083601185818e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.1441765284755659177838528477825589060259e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.7752555021371039101417870902094653927125e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(9.6089210029732720631668249221640828810492e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(7.7217276387173339316228602139361276696830e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(5.3579814689053488365105049803597755182814e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(4.1412641987135004125398992677505859620162e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(2.2738337720061142590311839557466375850359e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.6664582690561207345997448514984065249335e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.3171345471471175550632318634078278410483e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(9.7470487684575495227114000002323253771025e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(5.7826403788494239476913638776944597818384e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(4.5138038028128852153442693393179442153791e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(3.0999832282890590126942418598861471207285e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(2.5844390371396999635360049725791733762238e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.8647213689217269093280383995429126476546e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.1022784748326613472643766950915870266214e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(8.1312548741077384914760734681077184318119e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.2071668848445719575214289055934381666647e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.2607606128595662177290950502474781053227e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(2.7119519078084773713513001089799261003714e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.9939847338616881135469544661367878643461e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3417998569903162736257142762866916683070e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.4133395764747646992674799662015469129317e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.5949362552637029247447266438533130992429e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634527092424992635267307715942e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105465095323814245693615037155e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_data.ipp b/src/boost/libs/math/test/ellint_rf_data.ipp
new file mode 100644
index 00000000..3865f000
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_data.ipp
@@ -0,0 +1,413 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RF, each row contains in order:
+//
+// x, y, z, RF(x, y, z)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 401> ellint_rf_data = {{
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.69081557947567857896297308369623231790841946303168e-4) }}, 
+      {{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.41696748464385961137940994051143282877208328256968e3) }}, 
+      {{ SC_(0.14532352659780781796355564562931230420316401288775e-29), SC_(0.62687453931329231730011467674071804187172354186889e-30), SC_(0.26256847716031594952568184453411959111690521240234e-12), SC_(0.40492940437281068910143789937423107620726714449588e8) }}, 
+      {{ SC_(0.21161119528926488937912315394561157356168786172334e-29), SC_(0.142681614079265273176133632659912109375e-6), SC_(0.1414351724088191986083984375e-1), SC_(0.60023495609336663619731475310462707680628111629781e2) }}, 
+      {{ SC_(0.43727979838159528482554219689363356095561935561375e-29), SC_(0.7798122348544e13), SC_(0.8588943201947652980736e22), SC_(0.12728379993876013222161727164717897397898227135914e-9) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.80511870764678968189176930995818394321307940480734e-10) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.25056280362165428100075135368904610528487634651412e6) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.69024104942927043057057398977626412595781610122053e-6) }}, 
+      {{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10843189731083616299141336159195842305986739069878e-11) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13041677890491263355196952840107362001464424225232e-2) }}, 
+      {{ SC_(0.21260283480045472585820552908849842179312334994757e-28), SC_(0.117237625e7), SC_(0.28658838e8), SC_(0.56137169413466917815737398640168522533687819147944e-3) }}, 
+      {{ SC_(0.23067565607429071342632211210292164463707216326199e-28), SC_(0.44169701635837554931640625e-1), SC_(0.14622103125e6), SC_(0.23255376087386493123620791606540418922162034060246e-1) }}, 
+      {{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.48848907341566731317828094161181483220489237197822e4) }}, 
+      {{ SC_(0.3576658041416457175462348437019377323527317041928e-28), SC_(0.182191292416e12), SC_(0.355224928e9), SC_(0.1056145023109440334189908118197725710820599937924e-4) }}, 
+      {{ SC_(0.45190074381881787947113833644192369803258850957835e-28), SC_(0.903221837196690095865856e24), SC_(0.197033285648384e15), SC_(0.1316234260403974959059386181123491622884455028604e-10) }}, 
+      {{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18482788150207164039886687903794355893352157342876e0) }}, 
+      {{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.46130757625625887687399713890619646292026008752597e-9) }}, 
+      {{ SC_(0.10848934303015863927446282468623299997624646840919e-27), SC_(0.62221619626030569058053553009209074892000950850727e-30), SC_(0.343400804652490021666816e24), SC_(0.10342135228893151111628599880598474090206795712037e-9) }}, 
+      {{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.44492840412794216795211644099170510281671666177003e2) }}, 
+      {{ SC_(0.20347543751535935665284243442334458135561822645851e-27), SC_(0.440987377729536e16), SC_(0.287391328125e5), SC_(0.21480602601200030281855562249446563848311273705777e-6) }}, 
+      {{ SC_(0.22256795142604778055852756615936599983521384333793e-27), SC_(0.18143533359633255599212774654416246988830607733689e-18), SC_(0.21148944142623804509639739990234375e-5), SC_(0.11297576663225845000545238152727773376633249003903e5) }}, 
+      {{ SC_(0.27311316429626442094674415847188181871613594240214e-27), SC_(0.10845691548033613824e20), SC_(0.400673984e9), SC_(0.40680160276715551282981129022255804380967818080019e-8) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.3263066756541685311171843349919704700385781288154e10) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.85882928958216539680438351403609321208964637689442e6) }}, 
+      {{ SC_(0.88887406204705208581375488864563298833942634608052e-27), SC_(0.5811525927157390469801612198352813720703125e-8), SC_(0.32174132911148321865672794483970164947095327079296e-17), SC_(0.15798257631853654027208341257989620757183444492979e6) }}, 
+      {{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.28619662675577147008545299820464843681562410993599e-5) }}, 
+      {{ SC_(0.12708737924245050134296546672544059482912572403568e-26), SC_(0.903024183216244059537408e24), SC_(0.15518063165544166788813746673722175600112280614926e-28), SC_(0.62957032534216916589353715070316990128108284888469e-10) }}, 
+      {{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.76260606376287472971690034770273684734039141637871e-10) }}, 
+      {{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.5522837672610515535667805214004803961305903914157e-1) }}, 
+      {{ SC_(0.42244364291200267661460233749011480646438909669627e-26), SC_(0.477498138427734375e3), SC_(0.17728046030944125033074269511337850424581574770855e-19), SC_(0.12451945453260696576552580190880249825955248401269e1) }}, 
+      {{ SC_(0.48457483625271488463909528606996389233426292958429e-26), SC_(0.34402809559391418553704811749276853293953368218006e-26), SC_(0.3426654976e10), SC_(0.71831384058159540985490355058964459192302194019864e-3) }}, 
+      {{ SC_(0.51977933341075693398899317919762114747383096799438e-26), SC_(0.266911591494591876579813490688e30), SC_(0.53580234866956732986409406294114887714385986328125e-11), SC_(0.93375161793411865686174480682610243788243937917932e-13) }}, 
+      {{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.98255728430318667072571074195808505094006175327076e-9) }}, 
+      {{ SC_(0.16358995318300954765782308898640009098138844295667e-25), SC_(0.98936341703850100293138325469044502824544906616211e-13), SC_(0.17837596956010162360661830405206274008378386497498e-14), SC_(0.10825479757466109087874722747675913053273852855701e8) }}, 
+      {{ SC_(0.19129386995031684168433400267318972464065419958335e-25), SC_(0.74098306733179406810366224487118565210547929972832e-30), SC_(0.40798337829960889676546298421300207337480969727039e-16), SC_(0.18975656681089523246977362390571886102543681656904e10) }}, 
+      {{ SC_(0.20621651441981357349985057544616166528433660182218e-25), SC_(0.37752524088656425060861465681227855384349822998047e-12), SC_(0.20065922661601206578897704790875877733924426138401e-16), SC_(0.1026562701139222168152586002247636059939894265944e8) }}, 
+      {{ SC_(0.21288901426793981534691419438692370107505096726852e-25), SC_(0.5289344906157640122368e23), SC_(0.11510209314816e14), SC_(0.54396628344807662681292826103022096566324190444093e-10) }}, 
+      {{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.1755537214869906012774193839638577210495131605845e-11) }}, 
+      {{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.44454486362140376311920208456593332541577968986099e1) }}, 
+      {{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.92072944143905544126698873573853448498100607354808e-6) }}, 
+      {{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.55217533865229231709379440218980932604236253984141e-2) }}, 
+      {{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.44847121597179922927679996550818082257097417243103e-5) }}, 
+      {{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.20246560118180263593246019999683330284223142080123e-1) }}, 
+      {{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.13429247262567663626711145473545103648849120559512e-5) }}, 
+      {{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.19206251584392463442370997640025081765353159971305e3) }}, 
+      {{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.22359243991203761053744717290515382846472784535058e-5) }}, 
+      {{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.67866272584068105190014692037620145928646359916575e-7) }}, 
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+      {{ SC_(0.2582930687253756671688704e25), SC_(0.98294646430729628238873174517209463374456390738487e-16), SC_(0.523289710174790201335781603120267391204833984375e-10), SC_(0.25714555063314296471836451648878971406174986469531e-10) }}, 
+      {{ SC_(0.4250650378642010683736064e25), SC_(0.556707755327488e15), SC_(0.11061723157371115940205422633821341626969569915673e-24), SC_(0.61911313046606461828731042102268373625125922526936e-11) }}, 
+      {{ SC_(0.6959596827501176488460288e25), SC_(0.56396991515163736959758100092886750224006554485772e-29), SC_(0.164767579074269378772992e24), SC_(0.12400935059791630763953427454646048782024565915924e-11) }}, 
+      {{ SC_(0.952333915392338525421568e25), SC_(0.880691654814744548025200279552e30), SC_(0.154135841378084202520367857664e30), SC_(0.246177174705776556085118115429848578000397850452e-14) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.33895318467300131244893458519885746926814107382597e-21), SC_(0.95534164617635088562542388865960418859145954910582e-11) }}, 
+      {{ SC_(0.30659185015094057321365504e26), SC_(0.7833119869232177734375e1), SC_(0.1693339353088e13), SC_(0.30069886354161477220500208874734175760615704540309e-11) }}, 
+      {{ SC_(0.34176589422481911700258816e26), SC_(0.2594374745967797935009002685546875e-4), SC_(0.32639631015324299667668128677178174257278442382813e-11), SC_(0.61686726715099850869664269896236478457721173132798e-11) }}, 
+      {{ SC_(0.66192871423119660955992064e26), SC_(0.65104581211365760324995297566040105840304400052279e-28), SC_(0.700861590985368820838630199432373046875e-9), SC_(0.51196495026574394146099382874482062017583142405701e-11) }}, 
+      {{ SC_(0.8845430532586596087103488e26), SC_(0.19398925304412841796875e1), SC_(0.41011344364960677921772003173828125e-6), SC_(0.32883289253336466203877579763959792657158933119763e-11) }}, 
+      {{ SC_(0.9036469625899950631026688e26), SC_(0.690641880035400390625e1), SC_(0.1238969862461090087890625e0), SC_(0.31745434338722854630828915646448539066116092136479e-11) }}, 
+      {{ SC_(0.26160499139176195703177216e27), SC_(0.25551566240720070127823149164214555639773607254028e-14), SC_(0.2455513858048e13), SC_(0.10841986934216006931865443143259911799200916785229e-11) }}, 
+      {{ SC_(0.351293559140227787146657792e27), SC_(0.92746285056e12), SC_(0.7325884342193603515625e1), SC_(0.96945165287587645794032553087381848752888109990602e-12) }}, 
+      {{ SC_(0.48555353730121618377670656e27), SC_(0.41366469991877353664505423235416110752209856263632e-29), SC_(0.1080339869874636584075679427013641468012674864323e-29), SC_(0.29736856860648111150067984819515308053148330813485e-11) }}, 
+      {{ SC_(0.576385747842019784963129344e27), SC_(0.42413690615195065447551314719021320343017578125e-10), SC_(0.429480374875002013368430198170244693756103515625e-10), SC_(0.18094440824622577258491088407553210906682687995255e-11) }}, 
+      {{ SC_(0.861307183935277657013354496e27), SC_(0.13938332907855510711669921875e-1), SC_(0.68459855298386769923242872813539959368599538368623e-30), SC_(0.11766749224716932927375683670462877212205767926654e-11) }}, 
+      {{ SC_(0.105505156605401800151924736e28), SC_(0.36789907058298876307844693656079471111297607421875e-11), SC_(0.10516135122406685860405589982143287428734135247055e-23), SC_(0.14057878532181048238381113039649629348002517816159e-11) }}, 
+      {{ SC_(0.3196617981363007079661436928e28), SC_(0.357227936120807498809881508350372314453125e-8), SC_(0.190531306287766710738651454448699951171875e-7), SC_(0.73543482163433806936996915244342283274029549975336e-12) }}, 
+      {{ SC_(0.4932620110638545248192561152e28), SC_(0.39087764918804168701171875e-1), SC_(0.37496308203098109226999139757157200603110425163322e-21), SC_(0.49677918885669315094834554588390832782238505953762e-12) }}, 
+      {{ SC_(0.516425012058796509045456896e28), SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.45590953716748809622767271344568834414324208839861e-12) }}, 
+      {{ SC_(0.6724360036363488659828113408e28), SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.3149211786161963517965091650354250566920868130489e-12) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(0.60174664703890956134939928112815630373518374796924e-13) }}, 
+      {{ SC_(0.1240879712420966629044649984e29), SC_(0.35030939907262229474824187104684165838808240778235e-22), SC_(0.23553908385443359223970771765266363217961043119431e-16), SC_(0.47464339774120723669000561802171052279059315153073e-12) }}, 
+      {{ SC_(0.13622372113626680630865559552e29), SC_(0.5065993732313771067901500902430633743733778828755e-18), SC_(0.1568245533434264871175400912761688232421875e-11), SC_(0.40583512551936497170672012442547588122036553493224e-12) }}, 
+      {{ SC_(0.21413030105610117647127543808e29), SC_(0.56796892335439872e17), SC_(0.44545595303495604738852208133448318250202646595426e-19), SC_(0.10055266250578662063485344934342287093203087991764e-12) }}, 
+      {{ SC_(0.240611655851932728105631744e29), SC_(0.15126033260477136128765155826087636266509091563425e-30), SC_(0.147685372829437255859375e1), SC_(0.21832951144880765009500199074282822236333957933832e-12) }}, 
+      {{ SC_(0.61731988312258099732254031872e29), SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.94272971828494080864224866724511415301020102514649e-13) }}, 
+      {{ SC_(0.74469943825056746033385570304e29), SC_(0.25381451890023692523876122624e29), SC_(0.353061568e9), SC_(0.73993207202984769111475156231178550093712585836288e-14) }}, 
+      {{ SC_(0.117661009908837424815142862848e30), SC_(0.434518829345703125e3), SC_(0.429355800151824951171875e0), SC_(0.9266881807310148034392861576649650379030278607074e-13) }}, 
+      {{ SC_(0.593089902380358100434877939712e30), SC_(0.6506956228718475954142519412926048971712589263916e-14), SC_(0.61562469482421875e2), SC_(0.43634363152950073747311554335524072760111106270713e-13) }}, 
+      {{ SC_(0.1138966491359350198995104301056e31), SC_(0.16628866613248e14), SC_(0.83722254681922700089433337836521478725337885862245e-21), SC_(0.19460821722924338220942178264562269988472467417183e-13) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_rf_xxx.ipp b/src/boost/libs/math/test/ellint_rf_xxx.ipp
new file mode 100644
index 00000000..8ae3705d
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xxx.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rf_xxx = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6745118773247830750129868545120089618418e+16) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.3908128436079138694597947682338789400948e+16) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3049144594686265000504063489393107218708e+16) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(9.4034173886737095950022635032666743320848e+15) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.4845812445445430217034016070207497250201e+15) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.5390659886445280628534854203325879997185e+15) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.2558143271953497835860685501616699571233e+15) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.8819131536661594592044619775177747397685e+15) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.7624708229128216937058301706107873452174e+15) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(1.3921408892938336698414253069301923710452e+15) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.0747056442019633884352915678125593373791e+15) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(6.4004235978247578155027624088361479795076e+14) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.9787432624412635867235628295306532370443e+14) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(3.6515463457422279706215047613622545944973e+14) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2631394305460727992226445910206908161696e+14) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(1.4098862602753770648227924387939860200900e+14) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0059077922458059642892202637780084288437e+14) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0431078766479587754804368836857614371345e+13) }}, 
+      {{ SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(5.0200822999548107157720017795110756417391e+13) }}, 
+      {{ SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(3.5472021437442343472711027607082362631524e+13) }}, 
+      {{ SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(3.2701535441343587891626811155011154851319e+13) }}, 
+      {{ SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(1.8938026078754339581904890495392292245464e+13) }}, 
+      {{ SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.2532029155143491803421300708450195764266e+13) }}, 
+      {{ SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(8.8379300121566050731938300803662583777851e+12) }}, 
+      {{ SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(6.2874697373695914398683537159196236102244e+12) }}, 
+      {{ SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(5.9039197710714602563358397983618716115345e+12) }}, 
+      {{ SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(3.6086245860890639381359792488470737774460e+12) }}, 
+      {{ SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.3191946962438344754642132794766376340638e+12) }}, 
+      {{ SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(1.6389276511209225003241002233920748399685e+12) }}, 
+      {{ SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(1.3653371215647704695764397878904455064377e+12) }}, 
+      {{ SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.0289361076075519675156625741986389957131e+12) }}, 
+      {{ SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(7.7561938752923440711027516294013511375400e+11) }}, 
+      {{ SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.6105902431909048797936653582170852782176e+11) }}, 
+      {{ SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(3.6856302741933604373194882461983480329367e+11) }}, 
+      {{ SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(1.9859672875492359379507593963076952235452e+11) }}, 
+      {{ SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(1.5178688522353185561550540762912234435983e+11) }}, 
+      {{ SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(1.0266341953326370137407347655905757985792e+11) }}, 
+      {{ SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0908335608305666013739844029733909939584e+10) }}, 
+      {{ SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.9091700234257405492100070370196972275520e+10) }}, 
+      {{ SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(3.9626858959015216860996009928920803237744e+10) }}, 
+      {{ SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(2.6702608050063465882761051301400408220094e+10) }}, 
+      {{ SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(1.8119602337314314869938732284614293568841e+10) }}, 
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+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.5421631952002834589455315373158916356713e-17) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.9927180983941092709479939852926239799837e-17) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.1984668176046878820340926372477788998832e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7836562268294570644632044333197319023129e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.3045448245966114002697863302442752498869e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_xy0.ipp b/src/boost/libs/math/test/ellint_rf_xy0.ipp
new file mode 100644
index 00000000..bea9af7e
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xy0.ipp
@@ -0,0 +1,327 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 315> ellint_rf_xy0 = {{
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7559809247369239448675450874161826991827e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8111322875077929632738813413886468605495e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5925407572540334087724394052920609777382e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5545762196306999292434069148542537828759e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0942329983297076275458545239351417121796e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4746297883098470946407095287004116082863e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2194383184380185158410799903975312591310e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9426078250536213808890629979160318044746e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9413723371370236743589734380918290964393e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6609419247154670219719221474402730939309e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2054758570313860920631689200771331649136e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1635885369929721764270738590052081668545e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0278048745907638919153729231328916878725e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0141308332795205608610906420462210306713e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9186537948769944881851863226453496312876e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.5032424632613493800474820184663713114486e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5894311208821497180565643315657996048897e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3778581093810778481998964215870817067098e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3723674199900412229873443201599852600772e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.9259648262230140816164316295175301126595e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3246626667175522436703174626061544105391e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0768508864021250938504532852507926925271e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8355009152772594192530456916161152452895e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8342985533666333605489385042396303206633e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5613243515870731837916188873825633553905e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1176965505674039777400744300717088442078e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0768806414349193018011883752483284696670e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9445496483432605052260966280259489335541e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9312215619773232845674783025830411077151e-01) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8381511297502025804634246417996675885777e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1437686646942510076264966873018493189390e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3960559507132247293778595314038663675384e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.2220831289274334970809719540295330683340e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3907482355160337362345298912877895557552e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0191981191259724082087957824312216202215e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.5162386040762152465891552267617315221729e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3081063098033714323426958778257656360246e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2577089117835624189961632976329653284757e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2566849614521740819088028569845195724755e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0238745679920738522671695622645512640698e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6440379828134116388971183885417197343954e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6089967693882076215921810151118787491988e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4952764440385351975973973119668551430099e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4838132539805179859554305912986050437831e-01) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4037164155379491020883360373011155889574e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4144058615957244036179187534722100141037e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.7548299809020118076436966567776026667121e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.6008532147309861276204364754669587234428e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8623423704509143395872044489193394537411e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.5307897181445287979374533987575921617594e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0804686223191886175730772104944328916370e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8936027239863127171774272245993337264217e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9457576588460985818488034748276104518553e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9448296807662882034924466549181584444365e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7336314057692030433249443847057206434895e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3881484350293934269784668378540043931535e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3562186945179035403010287496113012052091e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2525277802358470538678119999947946191572e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2420697423317466976664094493250983233187e-01) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1689662164408285996159294271200503727968e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.1869627012296464198890166330072586117411e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.5546552462470342749371910620122731578015e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4068744906176039645436404060976431877224e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6971711256013247807597059866674082595973e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3780537403511104553841615790552489381848e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9441177537158419651775354856977688606611e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7638777943679540639559669356772480028879e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8480325439651760461446929493467179154721e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8471345479963948024993419559992777682983e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6426895919450483169228520320625013349992e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3079477921873183692999940227274967569483e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2769912768522663182292126908682448431334e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1764378361673501640917297421912603558735e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1662942718496482203405434062550331456391e-01) }}, 
+      {{ SC_(5.6349325180053710937500000000000000000000e-01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0953788576702979595534431265506111666159e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8272046473185178365693660548193597466332e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3545927405530669778511109144387453579139e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.2432351658421645193743407274236569500475e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7035382991399907114246838435912775898675e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4581415988597264188280217505679102976277e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1216458884334651422675140884528360847257e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9809063481730730645451502457946535142922e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2565894278104236596239083186450609131153e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2558714597955488085573886851096761443909e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0920034430084210167280910272576245575411e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8219061387306267089104098184553846422626e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7968131951574942530284988169457061044564e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7151696883273314883468313236944222678938e-01) }}, 
+      {{ SC_(1.9688677787780761718750000000000000000000e+00), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7069220804519311720137147095104797700417e-01) }}, 
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+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5884948103274537016858785780556337481702e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5719003794525665466115473605901803371379e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4873894632568988528573979173151666018964e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4464267804893613030668050924763246673327e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3872243229625525593330139579323315519624e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3612990771673377593198233107443714374986e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2145220938931660432288645394888939513784e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2143636301350260720931458477056567816435e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1774005017818951277531706396793724253128e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1126805941268334997029774284844670594188e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1064029335750491070962556102321117762207e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0856382326778069373346951681026183485751e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0835109177978058735036087760890651932154e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0684651831096071197043466795415607881621e-02) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_xyy.ipp b/src/boost/libs/math/test/ellint_rf_xyy.ipp
new file mode 100644
index 00000000..2599e0b0
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xyy.ipp
@@ -0,0 +1,6642 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 6630> ellint_rf_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.9640767714989779208405422148051165793035e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7167064915262036620081126218518400181051e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.0781788635270506076644910749852369925505e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.1688263305271348755217081146704596612451e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6402628509810036182835792415181870664789e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.2170032813654970557725141765886461932153e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.1786389078487272251285772927802473330869e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.0549376645734696120954360509647835950222e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.0425368297759740697412847538705985562186e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.9562399742102856143089411463484396652737e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(7.9640767714989779208405422148051165793035e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1169194176544748920219122801086678261655e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(7.7167064915262036620081126218518400181051e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0176725342589904962861304900984077341569e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.0781788635270506076644910749852369925505e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3625190876843644313608265353987699237974e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.1688263305271348755217081146704596612451e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0008373561068558978920138789084041651535e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.6402628509810036182835792415181870664789e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3967638029189851886783159789435632079168e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.2170032813654970557725141765886461932153e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2305513881335560897924938722512627210649e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.1786389078487272251285772927802473330869e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2155124718324940325269242027702246176635e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.0549376645734696120954360509647835950222e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1670532043279833007216218384472069507762e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.0425368297759740697412847538705985562186e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1621979789590342347762714330798603552138e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.9562399742102856143089411463484396652737e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1284247898957231243858851368634653634305e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.9418262092450297824712005140196305920371e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.6951644169363874802357131775007120525284e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.0613136928271229872523499938415540485506e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.1545430751115738496707891887621240749320e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6302918585405582244625738590745497455076e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.2082188193376169239181794694485110875117e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.1699618032140133581338072062373944686885e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.0466064931516205284714435388815864504626e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.0342403180548913423770639085280233577199e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.9481845570909789757591615324723489892180e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(7.9418262092450297824712005140196305920371e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1169194176544748902749676487504518567139e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(7.6951644169363874802357131775007120525284e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0176725342589904946486647901164195272841e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.0613136928271229872523499938415540485506e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3625190876843644303571849600660134700272e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.1545430751115738496707891887621240749320e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0008373561068558971721480382533409217070e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.6302918585405582244625738590745497455076e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3967638029189851883275043873743212517738e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2082188193376169239181794694485110875117e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2305513881335560895202065000064728799334e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.1699618032140133581338072062373944686885e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2155124718324940322612515636156208553583e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.0466064931516205284714435388815864504626e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1670532043279833004767102685640244787652e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.0342403180548913423770639085280233577199e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1621979789590342345333934078342986144538e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.9481845570909789757591615324723489892180e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1284247898957231241569179606006545748908e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8216781061903460352758157130997501927618e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.5788419901909841507831221235941178465381e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.9702455101824265920114190282230060246336e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.0774166625724619395275668452518735427312e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.5764507100060067675346286419905179404907e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.1607846719682208235017901988684126050540e+00) }}, 
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+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.0276949572532431406314113472438193054466e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634521940426214164390778407198e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0230695592196814889390220544558556098161e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634521009124210233272655980326e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.0130648821854947714386175010800034622305e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634518378213306717205040646775e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0095381111272653893858692237895155967731e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634517201171712814549677810087e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0091958167073505366449942373800639232922e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634517078792277280194607160212e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0080633186725267028069507071552780722762e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634516662998631672810521823699e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0079472702359954592769851207456271589294e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634516619428416986422798563458e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0071263601965565485418569031908546175622e-15) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634516305976872341179843321629e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.3725569761634523187384847894103190620903e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.3725569761634523058953727717910693071462e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.3725569761634521940426214164390778407198e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.3725569761634521009124210233272655980326e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.3725569761634518378213306717205040646775e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3725569761634517201171712814549677810087e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.3725569761634517078792277280194607160212e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.3725569761634516662998631672810521823699e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.3725569761634516619428416986422798563458e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3725569761634516305976872341179843321629e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.6155149990764586941729864045687397413947e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105462418839995521946561242189e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.6080576538766280832498434735059579803642e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105462330814315316057567807885e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.5516522161344311345292254892987478914317e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105461564184349973733502719278e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(8.5133592796819842466991811512773742930093e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105460925877277196674001750401e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4305321458618132349929294713805400131880e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105459122671624817557937576206e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4013345678295687350664696643742974366188e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105458315936568767557422909677e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.3985007666356564322046933861752989496322e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105458232058665644500560677452e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.3891249950879185569490012656112018183009e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457947076969388447528462809e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3881642484941654395101779943171244780346e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457917214286736265461292727e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.3813680645235495664624223836001371493400e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457702377061995631045669411e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.6199705454105462418839995521946561242189e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.6199705454105462330814315316057567807885e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6199705454105461564184349973733502719278e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6199705454105460925877277196674001750401e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6199705454105459122671624817557937576206e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.6199705454105458315936568767557422909677e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.6199705454105458232058665644500560677452e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.6199705454105457947076969388447528462809e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.6199705454105457917214286736265461292727e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6199705454105457702377061995631045669411e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg.ipp b/src/boost/libs/math/test/ellint_rg.ipp
new file mode 100644
index 00000000..d256527a
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg.ipp
@@ -0,0 +1,10005 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 9993> ellint_rg = {{
+      {{ SC_(8.5214803406892997464706775999511235082618e-33), SC_(5.6225057996800000000000000000000000000000e+11), SC_(1.2320223882817680737041525353776729584387e-22), SC_(3.7491685077094094251251986028089797624839e+05) }}, 
+      {{ SC_(8.8050242717870207719865864619358444438226e-33), SC_(1.5147710654693024643825008640000000000000e+27), SC_(7.5908822684631754862394359406607691198587e-15), SC_(1.9460029968304920780981508489456135737097e+13) }}, 
+      {{ SC_(3.0737560969270437688059003435623043887151e-32), SC_(6.1771426200866699218750000000000000000000e+00), SC_(1.2853826891756625627749599516391754150391e-09), SC_(1.2426929061068805930169720114110707714738e+00) }}, 
+      {{ SC_(3.7769435766814533842259693603637407810989e-32), SC_(3.5717604966400000000000000000000000000000e+11), SC_(9.4340326735849181700434165760000000000000e+27), SC_(4.8564474344897745530176546205644092329362e+13) }}, 
+      {{ SC_(4.0222166443258654897730630747219827585656e-32), SC_(1.0411048804180657164102538197266671779961e-26), SC_(9.1114250440145882258368180230817564743535e-31), SC_(5.1030254378178664249026340625844284476833e-14) }}, 
+      {{ SC_(7.1188613795049454297903766717688101039963e-32), SC_(2.3247959583416859581226265787229356973853e-21), SC_(1.1725184129000169654437625013052600539929e-29), SC_(2.4108069611185385292598284955987729191085e-11) }}, 
+      {{ SC_(7.5654393240956127989365014790470331815965e-32), SC_(6.6945583711884843896724444007687557006616e-26), SC_(3.5177418124498563654090814182217282490850e-22), SC_(9.3824354393376332745395675786759900646397e-12) }}, 
+      {{ SC_(7.7194132148795963615990483874798948650741e-32), SC_(8.2481992156463457277482120844069868326187e-13), SC_(1.5703642901737160273035264000000000000000e+25), SC_(1.9813911086492464797710435189115898636152e+12) }}, 
+      {{ SC_(7.7874296690068755613851354209966484444841e-32), SC_(2.0782488162753068680756785929774964910718e-26), SC_(1.1621437145947766111930832266807556152344e-10), SC_(5.3901384829027829052663255062486031470943e-06) }}, 
+      {{ SC_(8.0039874667758131221156918470394910989716e-32), SC_(5.3249444098867200000000000000000000000000e+14), SC_(1.3591955339009587078180629760026931762695e-09), SC_(1.1537920533924993193058678459182543523484e+07) }}, 
+      {{ SC_(8.2435702601414822394085859000051744906733e-32), SC_(4.3764065951108932495117187500000000000000e-02), SC_(4.4563604229324800000000000000000000000000e+14), SC_(1.0555046687405613334631418297816259893593e+07) }}, 
+      {{ SC_(8.6430490848305776038291733560782452395776e-32), SC_(1.6506731981280609034001827239990234375000e-07), SC_(1.5222772800000000000000000000000000000000e+08), SC_(6.1690300696301316988491488603758457809799e+03) }}, 
+      {{ SC_(9.1448911330836285867311863585491663643519e-32), SC_(1.1898920528483413717728998102281123979383e-24), SC_(9.5642413944005966186523437500000000000000e-03), SC_(4.8898469798145515738279938103273784119603e-02) }}, 
+      {{ SC_(9.3327950805569220671674968627606795581969e-32), SC_(4.8976274414062500000000000000000000000000e+03), SC_(6.3141887894513254400000000000000000000000e+17), SC_(3.9730935017477767864076202424361734807971e+08) }}, 
+      {{ SC_(1.0307256387501581965523420077387176780195e-31), SC_(1.7531509145600000000000000000000000000000e+13), SC_(2.9346846121054324333515817002648873312864e-17), SC_(2.0935322511009951002158695643591497042553e+06) }}, 
+      {{ SC_(1.1192858549984532684289462590955432784670e-31), SC_(1.3954909970314437787143207733424224263608e-24), SC_(2.4581588800000000000000000000000000000000e+08), SC_(7.8392583832911133354663437571966379280684e+03) }}, 
+      {{ SC_(1.1207676831770998440614916483743656413684e-31), SC_(7.2723598632812500000000000000000000000000e+03), SC_(3.6385473953792000000000000000000000000000e+13), SC_(3.0160186521905641011554811733827822865490e+06) }}, 
+      {{ SC_(1.1404405215335914833373548293140097005833e-31), SC_(2.2341125949820161956070607711666298200726e-17), SC_(7.5615730565914418548345565795898437500000e-07), SC_(4.3478652979070552741130844392144201922217e-04) }}, 
+      {{ SC_(1.1722666784337996709293559804383408356365e-31), SC_(1.6896015729248058955549114368000000000000e+28), SC_(3.2793202688000000000000000000000000000000e+10), SC_(6.4992337489214949094686035782033542274326e+13) }}, 
+      {{ SC_(1.2048759496705256664591659038437694307603e-31), SC_(2.1627526862340096000000000000000000000000e+16), SC_(1.3544430704958754160329110925467712097727e-27), SC_(7.3531501518635018282964996258056557723449e+07) }}, 
+      {{ SC_(1.3072762013065321869970924654425423073693e-31), SC_(1.0474774159069816685183096288804804343230e-24), SC_(7.0026227246694400000000000000000000000000e+14), SC_(1.3231234565101474309211209383641144294020e+07) }}, 
+      {{ SC_(1.5315316062823944152448313658257311154534e-31), SC_(9.5040380859375000000000000000000000000000e+03), SC_(9.5736267076505744021913600000000000000000e+24), SC_(1.5470638890855941637197871641896601705605e+12) }}, 
+      {{ SC_(1.5327201486205108301441385553385165280583e-31), SC_(4.6155710767934367334400000000000000000000e+20), SC_(2.1352810213901521335326796386653678292240e-31), SC_(1.0741940091055987561129885722102316987750e+10) }}, 
+      {{ SC_(1.6065060465710608992480869446536106114795e-31), SC_(7.1216149750217466382777934371072532144966e-31), SC_(9.6591959061168128000000000000000000000000e+17), SC_(4.9140604153074911091529029581326298690454e+08) }}, 
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+      {{ SC_(6.2743854500909061481837887488000000000000e+29), SC_(5.9343701601028442382812500000000000000000e-01), SC_(1.1157997656250000000000000000000000000000e+05), SC_(3.9605509244582710415680469461042620627656e+14) }}, 
+      {{ SC_(6.3138893679827259338970156236800000000000e+29), SC_(1.7144226680424323969187840000000000000000e+24), SC_(3.0351838096976280212402343750000000000000e-02), SC_(3.9730386446983295476218622568398180735713e+14) }}, 
+      {{ SC_(6.6917081541791506575788290867200000000000e+29), SC_(1.0509630126953125000000000000000000000000e+03), SC_(1.5045630756896355428864353598328307271004e-12), SC_(4.0901430764030586224637753109422988280986e+14) }}, 
+      {{ SC_(7.2389548716800166235227763507200000000000e+29), SC_(4.7695682286387200000000000000000000000000e+14), SC_(3.2996129544790343680000000000000000000000e+18), SC_(4.2541023942014377540467790231991032452031e+14) }}, 
+      {{ SC_(7.4289488979120144854763647795200000000000e+29), SC_(5.8784427839152732793203453469901554271357e-27), SC_(3.8313216646201908588409423828125000000000e-04), SC_(4.3095675241003053824851556936696558170748e+14) }}, 
+      {{ SC_(7.6043186996198616301321794355200000000000e+29), SC_(4.9640852917782942593794004437768307980150e-16), SC_(3.8229311037978164078066008064000000000000e+28), SC_(4.6249685742275247957374737845163157713012e+14) }}, 
+      {{ SC_(7.9871719062763440251834099302400000000000e+29), SC_(1.1531139631221728870400000000000000000000e+20), SC_(1.8592231038142303604933688465693468941488e-29), SC_(4.4685489592154905424737073227041526984466e+14) }}, 
+      {{ SC_(8.2779963904933000334533669683200000000000e+29), SC_(2.6841423181322987545627256622537970542908e-11), SC_(4.5726972392521851414418505550954496818861e-23), SC_(4.5491747577152111516609616179381038625079e+14) }}, 
+      {{ SC_(8.3440543640129551489890149990400000000000e+29), SC_(6.0397285223007202148437500000000000000000e-01), SC_(2.8361295699141919612884521484375000000000e-04), SC_(4.5672897773222565555389642414788424120531e+14) }}, 
+      {{ SC_(8.4095834324865288642607290777600000000000e+29), SC_(2.6701527485193417147443101233861284526938e-17), SC_(1.6771620059209934045184000000000000000000e+22), SC_(4.5851894911680662120136349372935189724839e+14) }}, 
+      {{ SC_(8.8217636683695876448038630195200000000000e+29), SC_(2.6185059898953070705055964917384869750094e-18), SC_(9.0713019955978896509407594095364402164705e-17), SC_(4.6962122152777518101290181454001918281250e+14) }}, 
+      {{ SC_(8.8747410645210124726691902259200000000000e+29), SC_(8.6629758299668468572067577841099293038588e-31), SC_(1.2913552112877368927001953125000000000000e-02), SC_(4.7102922055115148855623202347231328339915e+14) }}, 
+      {{ SC_(9.1593849154851886892834619392000000000000e+29), SC_(4.5046290000000000000000000000000000000000e+06), SC_(2.7954134765625000000000000000000000000000e+04), SC_(4.7852337757640401118781327472419513363544e+14) }}, 
+      {{ SC_(9.5019491580457390488011407360000000000000e+29), SC_(9.2086561984208574195850805248000000000000e+28), SC_(4.6058845174162062500167680000000000000000e+24), SC_(5.3722244538733513640482047544203049957513e+14) }}, 
+      {{ SC_(9.5137860529770407867079825817600000000000e+29), SC_(1.5922748275443154852837324142456054687500e-07), SC_(1.7812658795315200000000000000000000000000e+14), SC_(4.8769319384673276930250587678631848138161e+14) }}, 
+      {{ SC_(9.7399609622541927224308242841600000000000e+29), SC_(2.9092759451510019630404713097959756851196e-11), SC_(4.2995371226804603853599573426436109002680e-15), SC_(4.9345620277422272773597622647882377645694e+14) }}, 
+      {{ SC_(9.8836863750549896892954705920000000000000e+29), SC_(3.7737750904335294493626150294644850789866e-30), SC_(2.0708064169677742327735359140206128358841e-12), SC_(4.9708365430415708071128329141677016556440e+14) }}, 
+      {{ SC_(9.8845092001909648962775049830400000000000e+29), SC_(8.1725302022658190632550400000000000000000e+24), SC_(4.4612758789363786475110400000000000000000e+24), SC_(4.9712551124688390314301022411424719700068e+14) }}, 
+      {{ SC_(1.0699668990891177870201024675840000000000e+30), SC_(5.6348618119955062866210937500000000000000e-02), SC_(1.1897118383785709738731384277343750000000e-05), SC_(5.1719602161296585785150353467712607093881e+14) }}, 
+      {{ SC_(1.0792000700364245173419208867840000000000e+30), SC_(6.6901612656303783538056561609221051245555e-21), SC_(4.2723355823767544815325020160000000000000e+27), SC_(5.2318246175741793183287850243395421862180e+14) }}, 
+      {{ SC_(1.0900022755818635845038610841600000000000e+30), SC_(6.2040995000000000000000000000000000000000e+06), SC_(3.9506387050636249114177189767360687255859e-10), SC_(5.2201587034827389060481384463357204715255e+14) }}, 
+      {{ SC_(1.1094420294348579993761066516480000000000e+30), SC_(2.9333664315345231443643569946289062500000e-06), SC_(5.5360951974751562508245348889041829304469e-23), SC_(5.2665027044397736627659068811082358723206e+14) }}, 
+      {{ SC_(1.1210961498938067505345976074240000000000e+30), SC_(2.4133712281600000000000000000000000000000e+11), SC_(3.9466905727502225259772179590868617559768e-29), SC_(5.2940913996025010918984072118956786497984e+14) }}, 
+      {{ SC_(1.1241545055438405846036339752960000000000e+30), SC_(1.8608855775759103323707677191123366355896e-11), SC_(2.1568896031033585885489729967734451321348e-20), SC_(5.3013076347818199990239999408725232952142e+14) }}, 
+      {{ SC_(1.1346970942695174101503060213760000000000e+30), SC_(8.2726808904913139636633600000000000000000e+23), SC_(1.2234718793635579459078144282102584838867e-09), SC_(5.3261235264364735855397248500842724881620e+14) }}, 
+      {{ SC_(1.1707403108869628680222896291840000000000e+30), SC_(8.9865224609375000000000000000000000000000e+03), SC_(3.5724637508392333984375000000000000000000e+00), SC_(5.4100376867609777955230828387368018819567e+14) }}, 
+      {{ SC_(1.1860917042916117847686491668480000000000e+30), SC_(4.3954396800000000000000000000000000000000e+08), SC_(1.5272757500000000000000000000000000000000e+06), SC_(5.4453918690292891187788664898383219636534e+14) }}, 
+      {{ SC_(1.1862981283753109827002302464000000000000e+30), SC_(6.7803423965184000000000000000000000000000e+13), SC_(3.5269804800000000000000000000000000000000e+08), SC_(5.4458656988015053113899993763590158031893e+14) }}, 
+      {{ SC_(1.2054018764083162565762309160960000000000e+30), SC_(3.8507751980878168489346108707693794315219e-19), SC_(4.0277950000000000000000000000000000000000e+06), SC_(5.4895397721674178990155019280870210760929e+14) }}, 
+      {{ SC_(1.2201812967845600018943075942400000000000e+30), SC_(5.8934980814635322572800000000000000000000e+20), SC_(3.4797973757167849939173773156537994299953e-21), SC_(5.5230908548293160086118983393107718232206e+14) }}, 
+      {{ SC_(1.2497233636913003395506619023360000000000e+30), SC_(1.6580990452902188089298095070143768689844e-24), SC_(1.1644522659480571746826171875000000000000e-02), SC_(5.5895513319301852967365926558789527259506e+14) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_00x.ipp b/src/boost/libs/math/test/ellint_rg_00x.ipp
new file mode 100644
index 00000000..ed6ffc75
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_00x.ipp
@@ -0,0 +1,675 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 663> ellint_rg_00x = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8695000169531189693636701563837803699463e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.0913389407991590131117739644875098957769e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.8316687838956488016434687257271923313486e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(5.3172158517843024689477691002220959899307e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(5.8930427511845963170368827281430457466577e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.1015482067254804730500197721409557719541e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.5357141094428259087485341009850587033597e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.7349585963891261367539507231389649871186e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.8369263961695202702934514450953761444918e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(3.5915905052801518433569362444869627546944e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(4.6524367178817738822406615091874289995103e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(7.8119829470338423930192781664793621737565e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.0042694986341419504582649316904466296073e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.3692829082753103947758067732865084585846e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2093203505333961026893840214478165808216e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(3.5463853651736465659350239323451562267196e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(4.9706345239029507266434873446587342440930e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0991387432498912292619373853169078278675e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(9.9599960742576043212497479078858903147334e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.4095616199426038257903753238904109076566e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(1.5289801939020414609906770546277462295745e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.6401906826019526228015819090913075955906e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(3.9897768654231557860058176028361758280846e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(5.6574333504819360450100112265404995427795e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(7.9523245579735963214733273604345486304799e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(8.4689497721487256772525847403176899231508e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(1.3855694547098548554317861053030936606666e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.1559207634003282454531254669497672386290e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.0507753021192346839846744931085396804866e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(3.6620992141996808033471281550077436845216e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(4.8593882195716056509977625375072570125253e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(6.4464608291029104010136202972823608894938e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.0844598492317095988877630610447335661034e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(1.3566200698452596197711626216879321590467e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5176648333267374679682460563050603066757e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(3.2940922350680393113450713321419925149264e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(4.8702839070930842168909037214134643751813e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0513571600661542320124270053683486242623e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.0185021044577462080450357978829247002679e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.2617704585597710031792788671092631410921e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.8724762729639497382499017608610594455516e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(2.7594424573564341023491743425095842340473e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(2.9618939636019586771937139157788183265357e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(4.8022092693478290594576330739524432645684e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(7.9152343139403698793791078370791875230378e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(9.0621834985206971622545306556298946794564e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.6189654348195389829965943466574960353963e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(2.1347912053137670674742143235181056376938e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.0166934670320915253002168314585581333927e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0660607797570928288862987520779768146895e-19), SC_(3.8942460052483500072505138455028872472442e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5245964393311865802196902741627582145156e-18), SC_(6.1737274788639370670927005241364346821286e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0195417624247973304059400323495765405823e-18), SC_(8.6884143582485713110649224582052834382358e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0477044011936223152393898860879062340246e-18), SC_(1.2296040420795653755680793470149828283638e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.5994681641844942084181834925328605962446e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9321026667662503885011804349858266505180e-17), SC_(2.1977844905530719417687451499607034719446e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.1412920048653364486918586877714034706527e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.1897463183816027049166663687174150254577e-17), SC_(4.7931582277193819717788084925318668334939e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3032517747881629428807759296660151449032e-16), SC_(5.7080026602747894630399391748577601858331e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6005563194954166295058683999741333536804e-16), SC_(8.0631202389264551843328465313886669338873e-09) }}, 
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+      {{ SC_(9.7723521452893798400000000000000000000000e+17), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9427603991315874424386279810234901058354e+08) }}, 
+      {{ SC_(1.4824715277303808000000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0878393698634592012881375194929894030026e+08) }}, 
+      {{ SC_(3.8734002442595205120000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8404779409583563579982758993454072232618e+08) }}, 
+      {{ SC_(8.1036557834067640320000000000000000000000e+18), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4233460386890079823039026860738361513588e+09) }}, 
+      {{ SC_(1.2841886794098147328000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7917789201027387999378418680657689911227e+09) }}, 
+      {{ SC_(3.2350587576425381888000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8438788465942682404352406189686891898257e+09) }}, 
+      {{ SC_(5.7611295478532538368000000000000000000000e+19), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7951052514565567173503873876938543014956e+09) }}, 
+      {{ SC_(1.0185889793465699532800000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0462584638189361011659049123706356174830e+09) }}, 
+      {{ SC_(1.7827935411160009932800000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.6760645988411484836933021261622953103093e+09) }}, 
+      {{ SC_(4.6273923221278425088000000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0755687242254493089691089832607252513208e+10) }}, 
+      {{ SC_(9.0160094215120355328000000000000000000000e+20), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5013335256957425591744986482445062454814e+10) }}, 
+      {{ SC_(1.2701445734077667737600000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7819543859255816917399090807579476626570e+10) }}, 
+      {{ SC_(3.3155928298666191749120000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8790592343101501282248031194835323390544e+10) }}, 
+      {{ SC_(4.9771373655898078576640000000000000000000e+21), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5274414827144219606999565899630180855368e+10) }}, 
+      {{ SC_(1.2776477955669473886208000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6516541728217664110503805226167841534809e+10) }}, 
+      {{ SC_(2.8915946875483827732480000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5023448053292668925164570124424962053192e+10) }}, 
+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2265313966658584172310223391145047268394e+11) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8332353297954279141595395343201473415432e+11) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2636535073433421376849695081204659475155e+11) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8226914894138949243758722522920147414055e+11) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.4491954581579902279442000415645706970627e+11) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8437418486508020664440939443696056584270e+11) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3535319717789491860181472312941522985110e+11) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3771677600002672820168139604721517325753e+12) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8364859043176906702761865135501381291447e+12) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6656211166250391167717711954276783595069e+12) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6629361107494203121248065115411960579278e+12) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4241415528748582299770320591950009202687e+12) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1736353452632599784077638090281567199672e+12) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0171275136141836317192779281982309228935e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4658471067051066783568147427705258231754e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8965178885264921222260202286143534060863e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4540702713924525243639503557917572766697e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7129782844325082182310626238780470804039e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9629304014430587663297316732825619498070e+13) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.0578047987107379395246253358866915814541e+13) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3581999085921361385489614154149704046472e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7399918067063716567060561978883081855268e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5335561696923270744676233140894501246453e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0389502406939312371731261423476572875272e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2118794608526631407393399696705143265567e+14) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.1252245356299900262388215292670498952268e+14) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.6590031373679192010017178725311277183004e+14) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2653085988634809413230820274833081362941e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8433285386346460518233700036843373483381e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8960622831697886278887663202234470113675e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9388373945892361714711325360660524509593e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8533182821997908655188024659144315251737e+15) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3434593750369609507568693568489478189925e+15) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1909109246819302883781302864348400525701e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7961988092527235108682319995292332426926e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1696258396168112414049115446739966517574e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xxx.ipp b/src/boost/libs/math/test/ellint_rg_xxx.ipp
new file mode 100644
index 00000000..3a1c5d5e
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xxx.ipp
@@ -0,0 +1,675 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 663> ellint_rg_xxx = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.9366037595729562344462924962175731194096e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2850675262904487353938250899031082682224e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.0187712512379536673407044223999410043702e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3522631287583797670024193040135750338626e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(9.2567699072060558024969490712618189118285e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.7303078769118901630981225560868245850791e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(2.4122940821198867982217508980542043434085e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.7252665903492689247397148938036378699118e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(4.4562335624905661150827292985428353635628e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.6416571730454892665777100989060794392367e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(7.3080305070943951348182761789841396678499e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.2271034118185131062707668698236451086310e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.5775028395666626232037304447055895962141e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(2.1508645626618909191827230658228499084748e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.4703922913310720158451582695684174704763e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.5706491050139421150612202126909806462080e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(7.8078544519866547604555660361421178698590e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1151301061304267829287707330029776978044e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.5645125248335435252365433492757109853206e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(2.2141342149969061867156665385009433470888e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(2.4017164723234755178282112971381700594179e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(4.1472018262692579480491163274028454942961e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.2671268449379496857957869775423334277517e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(8.8866755260239701126933163035938883725648e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(1.2491482205145775012940843901194642708150e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(1.3302995193901694961731116077806786980132e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(2.1764474099774478781645602785392607951471e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(3.3865124160100850013093267925336486187836e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(4.7921466384454848292238914229467528014957e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.7524119940233359209274034551784329634544e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(7.6331091657734707177781044918018356672035e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.0126076991182035452880427943833301075917e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.7034655477297168284782266972329790926613e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(2.1309738225691699063540555812982976852896e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(3.9547386722903248366200762137236112288968e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(5.1743479829684672913761408385171617083448e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(7.6502240717101142403458237828594697159217e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.1076245925950808952123631608357580468950e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.5998593645150998453510227927298589337877e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.9819844015640006149504620205612309284072e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(2.9412788515823704382615164906595824917457e-11) }}, 
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+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0175170680284052979712000000000000000000e+22), SC_(1.9266310125813447120134270296206344783411e+11) }}, 
+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(2.4530627933317168344620446782290094536787e+11) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.8796393221932890650694507866475145694174e+11) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(3.6664706595908558283190790686402946830864e+11) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0496508805231257269043200000000000000000e+23), SC_(3.5557386144713063705348827447885882415037e+11) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(4.5273070146866842753699390162409318950310e+11) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8451880892949689322700800000000000000000e+23), SC_(6.0046697500414585818591188059013865393139e+11) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(7.6453829788277898487517445045840294828110e+11) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1877492456483867611627520000000000000000e+24), SC_(8.5595762096620048248191114697833155737359e+11) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.0898390916315980455888400083129141394125e+12) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3659727517469077458124800000000000000000e+24), SC_(9.1793282305982985820767071764051604606661e+11) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.1687483697301604132888187888739211316854e+12) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7912598561413239479992320000000000000000e+24), SC_(1.3121697337034103388545839510461208892061e+12) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(1.6707063943557898372036294462588304597022e+12) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5863641567366151374110720000000000000000e+24), SC_(2.1632500587887756021486019168216391337751e+12) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(2.7543355200005345640336279209443034651506e+12) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.8847453127128324782824200225250175586316e+12) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(3.6729718086353813405523730271002762582894e+12) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8422143749589281569505280000000000000000e+25), SC_(4.1871478586215221779882474449233994985923e+12) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(5.3312422332500782335435423908553567190138e+12) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.7537265880495740638104596616146086105293e+12) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(7.3258722214988406242496130230823921158556e+12) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.8292113919495847997865984000000000000000e+25), SC_(6.9494253004764972087998194681455182502770e+12) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(8.8482831057497164599540641183900018405375e+12) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.2839116376900465379645156897764299799122e+13) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.6347270690526519956815527618056313439934e+13) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.5977001622671858520930535293480353885335e+13) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(2.0342550272283672634385558563964618457870e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.3025472508553084452308520760749900543533e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.9316942134102133567136294855410516463509e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(2.9790433329982270371620087227957023448592e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(3.7930357770529842444520404572287068121726e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(5.4256408947947161107175930176800818943854e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(6.9081405427849050487279007115835145533393e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(7.4031289774506974089681946144414834969091e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(9.4259565688650164364621252477560941608079e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(9.3665491715203750251715902989238059343902e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.1925860802886117532659463346565123899614e+14) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.2657170179845118485075177848201156995334e+14) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.6115609597421475879049250671773383162908e+14) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.1334554274696917945047147294103689831446e+14) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.7163998171842722770979228308299408092943e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.7331727386275843637855005414321815043904e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(3.4799836134127433134121123957766163710535e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(3.9797007250812551528851586684976855502777e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(5.0671123393846541489352466281789002492906e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.7735718753944941501879984350680081563380e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(6.0779004813878624743462522846953145750545e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(6.6160047860102328328306000176101801354634e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(8.4237589217053262814786799393410286531134e+14) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.1192276528156461323268927556498335683568e+15) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.4250449071259980052477643058534099790454e+15) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.5172326648677909730236842431091492235703e+15) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.9318006274735838402003435745062255436601e+15) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.9875420993567531657222203961314908274387e+15) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(2.5306171977269618826461640549666162725883e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.8954936975635066980078481013868564183761e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(3.6866570772692921036467400073686746966762e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(4.5491239965723457288592628821698758881194e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.7921245663395772557775326404468940227350e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.1871113112631529859540522584168184572734e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(7.8776747891784723429422650721321049019186e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.1943708572408456033307961256304486661631e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.1706636564399581731037604931828863050347e+16) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3105875339070502025565113701553064275724e+16) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6686918750073921901513738713697895637985e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189963298841313e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.3818218493638605767562605728696801051402e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847679055568e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.5923976185054470217364639990584664853853e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283326332711e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.3392516792336224828098230893479933035149e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xy0.ipp b/src/boost/libs/math/test/ellint_rg_xy0.ipp
new file mode 100644
index 00000000..1171e61a
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xy0.ipp
@@ -0,0 +1,264 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 252> ellint_rg_xy0 = {{
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5773083207076490964863743728583347676603e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7960711391651270067331004172790937905753e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8543386056445638102390883382731952293521e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3623897355108417432714253062626016398084e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7859514698032361519097275514111191936555e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7070042752664199629816247605327492249422e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9838880072852843038915793550888957924643e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5202050894201170277529368379487266881179e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5759756306067477293878084820517125619437e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7654706374840355683930904036501232073455e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7853283259091174187960085217227858518750e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9281924805093153786407449470999754362508e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5806345626798833650574532648409670131868e+00) }}, 
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+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4003233847373202514712216564324683775565e+01) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4015359443159366993019714343365538430045e+01) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4057304494517823374429697207356837011328e+01) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4061766089025490495010155285177065467908e+01) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4094229681699390215680302605558480725590e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9842777077266635263855713977790546142085e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9860694548442189220490474319881899568695e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9865766937637155257898213019737887148474e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9915119681153550533431457187112008569357e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.9962961612964938338061846188658197839612e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0086410266099772871179259739042669729882e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0128410324421292231782287099910845510172e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0215821897680873231454933851119447604251e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0225357914089057673503481098766051776660e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0258372359837439078448711416528867734587e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0261886465982118346629150993123761048085e+01) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0287469636611002878196676894091461267880e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7444386785358161353879501957576954595174e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7461211690729274560240841285099091055654e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7465976359971771178277286432790722692618e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7512365297821185916338907968934707658879e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7557376905975087232692864904778368012665e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7673665865644620635855641993536656470122e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7713268108249962669828699643244896575331e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7795740483555776052944863171877131010676e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7804741510181673658996179228986147639076e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7835909217929228449259818117105822959973e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7839227240213837580774215032300187074292e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7863385626763089478205960752617591749891e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xyy.ipp b/src/boost/libs/math/test/ellint_rg_xyy.ipp
new file mode 100644
index 00000000..286ede45
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xyy.ipp
@@ -0,0 +1,6642 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 6630> ellint_rg_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148566284241e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167113855944e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773494498690e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529959946329e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505592799414e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522229878549e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474009791245e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768639332956e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780634314724e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731853949620e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5197897608417201911304511214148566284241e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690888937593e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6026620002037697365156285938167113855944e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573322842e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.3244098110854226669217201043773494498690e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753783906e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.9253473601954463687210857075529959946329e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127151189e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.6229848006950593437062903414505592799414e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009387259e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.3824897600473574907856771295522229878549e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258812133e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.4614570528707957976567012457474009791245e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032433406e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7297545688990165059457610610768639332956e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0571073757057748147627327614212941718149e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7578689484636630529539692231780634314724e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0615235721208012448424130985071863674768e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.9601285830491756080964906621731853949620e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0932944412273813602607862505109234576766e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148580085170e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167127228357e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773505032569e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529968904755e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505599109361e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522235455065e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474015301281e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768644628633e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780639588912e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731859074264e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5197897608417201911304511214148580085170e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690889211467e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.6026620002037697365156285938167127228357e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573587995e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.3244098110854226669217201043773505032569e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753991493e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.9253473601954463687210857075529968904755e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127326996e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.6229848006950593437062903414505599109361e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009509988e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.3824897600473574907856771295522235455065e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258822945e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.4614570528707957976567012457474015301281e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032444087e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.7297545688990165059457610610768644628633e+00) }}, 
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+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8706785060302898834078011189964315012299e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8706785060302898834078011189965384025493e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8706785060302898834078011189965985366122e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8706785060302898834078011189966052255376e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8706785060302898834078011189966285661336e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8706785060302898834078011189966310669082e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8706785060302898834078011189966493651996e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7961988092527235108682319995305480754547e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847956684096e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7961988092527235108682319995306347632087e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847975245996e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7961988092527235108682319995315047980861e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773848162297473e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7961988092527235108682319995323860058496e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773848352794533e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7961988092527235108682319995356394512858e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849061568799e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995374581870339e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849460268053e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7961988092527235108682319995376601139971e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849504616787e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7961988092527235108682319995383641988941e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849659368981e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995384395896850e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849675949550e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7961988092527235108682319995389909656803e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849797270392e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.8214624917675452573079554773847956684096e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.8214624917675452573079554773847975245996e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8214624917675452573079554773848162297473e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.8214624917675452573079554773848352794533e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.8214624917675452573079554773849061568799e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849460268053e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.8214624917675452573079554773849504616787e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.8214624917675452573079554773849659368981e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849675949550e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.8214624917675452573079554773849797270392e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1696258396168112414049115446750907085131e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283556176965e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.1696258396168112414049115446751628454959e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283571544067e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.1696258396168112414049115446758868577546e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283726401017e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.1696258396168112414049115446766201884698e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283884110511e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.1696258396168112414049115446793277759952e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284470893480e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446808414165515e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284800970267e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.1696258396168112414049115446810094716621e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284837685880e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.1696258396168112414049115446815954534874e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284965802767e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446816581984455e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284979529556e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1696258396168112414049115446821170893771e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635285079969156e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.4080402993893805907426551635283556176965e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.4080402993893805907426551635283571544067e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4080402993893805907426551635283726401017e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.4080402993893805907426551635283884110511e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.4080402993893805907426551635284470893480e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284800970267e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.4080402993893805907426551635284837685880e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4080402993893805907426551635284965802767e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284979529556e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.4080402993893805907426551635285079969156e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_data.ipp b/src/boost/libs/math/test/ellint_rj_data.ipp
new file mode 100644
index 00000000..232b4a8e
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_data.ipp
@@ -0,0 +1,814 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RF, each row contains in order:
+//
+// x, y, z, p, RF(x, y, z, p)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 801> ellint_rj_data = {{
+      {{ SC_(0.17778719640226356167347852945229440308832650104108e-30), SC_(0.140657017848070144e19), SC_(0.1004598712921142578125e2), SC_(-0.482979822802320768460049293935298919677734375e-9), SC_(-0.25179478604244669733973586875090503552089558764187e-9) }}, 
+      {{ SC_(0.17971096343704528451751984491965084147481741634467e-30), SC_(0.89101844176293009628514463216220065078232437372208e-17), SC_(0.83764338663550372334498751058362691151424505491344e-28), SC_(0.25525904358368192101317869568e29), SC_(0.55264196567924337745014728862252651162552511364961e-18) }}, 
+      {{ SC_(0.3374483874642825322028299383742755000492569610633e-30), SC_(0.46577155087788907954176e23), SC_(0.46983051300048828125e0), SC_(-0.4337557424349824941600672900676727294921875e-8), SC_(-0.29586494691174345632763961304004697052773087913144e-10) }}, 
+      {{ SC_(0.34628584803331255547073953716003532083475191421235e-30), SC_(0.303861990424576e15), SC_(0.4400977e7), SC_(0.8120083456e10), SC_(0.94406118682435306969091503176397574982473232273954e-16) }}, 
+      {{ SC_(0.52529654597568598687401224634973212611437919511155e-30), SC_(0.58548273201185353977823232e26), SC_(0.20248201901919065867629932142790494253858923912048e-14), SC_(-0.18734671312196414516097698394344282521492941247926e-27), SC_(0.33644488398603828475913952425044358424278852139661e8) }}, 
+      {{ SC_(0.62221619626030569058053553009209074892000950850727e-30), SC_(0.343400804652490021666816e24), SC_(0.67300522327423095703125e0), SC_(-0.27625999903489739661921475999406538903713226318359e-12), SC_(-0.75889847310956721783906856673041055044273454295232e-11) }}, 
+      {{ SC_(0.62687453931329231730011467674071804187172354186889e-30), SC_(0.26256847716031594952568184453411959111690521240234e-12), SC_(0.1063940752263547436662784e25), SC_(-0.136451337486336e15), SC_(-0.67037231980991720071044018087634320636670369191284e-24) }}, 
+      {{ SC_(0.68459855298386769923242872813539959368599538368623e-30), SC_(0.3576658041416457175462348437019377323527317041928e-28), SC_(0.182191292416e12), SC_(-0.363291968e9), SC_(-0.83523497967218414236437029496187282518142685409801e-12) }}, 
+      {{ SC_(0.79319377739814275716610132815898742724164603635128e-30), SC_(0.149536081295309486449696123600006103515625e-7), SC_(0.110968975e7), SC_(0.39225603641135470576542739402404764287313199133678e-22), SC_(0.58404081910170394697384547096361115025170471880191e13) }}, 
+      {{ SC_(0.89048248588914662625862647642457234630028429798521e-30), SC_(0.19709305012440588607850390271996382609153184795395e-27), SC_(0.11493865037410894201880001018568858790897452128896e-30), SC_(-0.12642370874130226532372489600675180554389953613281e-11), SC_(-0.63945430527093703240104260994490070888470387853874e27) }}, 
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+      {{ SC_(0.288644753185258968910800093184e30), SC_(0.3712882e7), SC_(0.67304340158588786789888913154097233038086756096163e-21), SC_(0.228604896e9), SC_(0.6770315462223105083152407343178427212980572931536e-22) }}, 
+      {{ SC_(0.32259278802051668555153276928e30), SC_(0.6638677978515625e3), SC_(0.11419584692467545095073688798947841860353946685791e-13), SC_(-0.914323027245700359344482421875e-4), SC_(-0.77167253067005495411786081658186819275011987939055e-17) }}, 
+      {{ SC_(0.593089902380358100434877939712e30), SC_(0.6506956228718475954142519412926048971712589263916e-14), SC_(0.61562469482421875e2), SC_(0.2321270964224e13), SC_(0.21597485998566959444034291971333852159947917872266e-25) }}, 
+      {{ SC_(0.653810657301073942950006751232e30), SC_(0.3684862263296e13), SC_(0.1658748045099008e17), SC_(-0.2043063195140096e16), SC_(-0.17992368419735800205714333900182443278381089486339e-30) }}, 
+      {{ SC_(0.90054999923278052824918786048e30), SC_(0.5752800417419362304e19), SC_(0.23091611800228823082094034944e29), SC_(0.437946654856204986572265625e-1), SC_(0.20691242362670718543784273355620160692479713280658e-36) }}, 
+      {{ SC_(0.1138966491359350198995104301056e31), SC_(0.16628866613248e14), SC_(0.83722254681922700089433337836521478725337885862245e-21), SC_(0.351686295552e12), SC_(0.16740484414913831836071532979123766364786418157375e-26) }}, 
+      {{ SC_(0.1155650423248669340749283721216e31), SC_(0.55448366981994133391117331177699867339470074512064e-18), SC_(0.120595209390657634304e22), SC_(-0.31079530179668142456832e23), SC_(-0.20503537182647658707141982907149513184896420806907e-36) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rj_e2.ipp b/src/boost/libs/math/test/ellint_rj_e2.ipp
new file mode 100644
index 00000000..5e1135a0
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e2.ipp
@@ -0,0 +1,2812 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2800> ellint_rj_e2 = {{
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8129868340976131828973869394111298217688e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.5137965761452783346643767774812644148279e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.5154899930654010329380039597788177727381e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4105211972075747266826943342911867682287e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.6239743764192655049030411741414227319928e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1614192781794980624275319098919303370404e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.1205196106613013134745473581583105957367e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9899475028306767338256621240241429325178e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9769714636367608796702051722737518284070e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8872703186669270363513502724105402104408e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.6616576027347123660379973447738681471459e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.3693174428832726809594941668717443746012e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.4152293085682874725243717835276870751944e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.3333980816236946758017143264569331161798e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5817563474272779795634263295984967233756e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1276185337061246474062146998464182822378e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.0874485839707437687156454229521765810295e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9591893301781807575439366129991972499830e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9464417178884943289705014376845266839563e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8583124557997311768916536155257703497660e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.5479633841200162177976163516995355828255e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.3047673890711486037555014910967610561344e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.6700094534339885708329574164278858398200e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.7569714136751555867792263202841446883874e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.2628798658799863663412115701531021961986e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8715112699956942550556465969267915722175e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8367975854781532683689952573651760004058e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7258484632431141792288084480219075278230e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7148118485650301480358346176503316454884e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6384634254507179946255924457994506476583e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(5.8336993704612138202923627554118097515692e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.6208332446317534959141542768378236861203e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.1850338465977442786079662254965289630977e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.3787225978806407714298105753114380753208e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.0502526542149110341048314220367106076866e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6998984614912736753663876401191640276456e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6687646649662372896655247937260165218291e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.5691894076141687781967974564803171969141e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.5592784252379365182896064830683138653863e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.4906873919920498442860453104413419865321e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4437414129570184749351161690888178010731e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.2871928063830564959467613253915028354439e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.2247377223876618438241835417838514812134e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.6220731947251392831632440521300633238773e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6160584020740620856258587591077733657690e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3471479012272709532595338254155274533680e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3231602493347514683283889118365894968108e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2463323546848671320694968895420800711360e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2386762346269738629905677285666696350898e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1856431055949317324033679918676421025010e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.0109813431874577070645279510749598694226e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8712311017605435393500849168107941406496e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.9211287070699200918295458760819449309279e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3806298886799907868451183420888901207622e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4748202108436459246508504294962332334275e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2316757680348838790182396639828440087111e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2099599840374893136880136716061317996668e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1403766617844893474485324084744324434192e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1334397597857213317356330581844288113773e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0853745572409282244833142442346904283885e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9706428353630088972362251121270028487926e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8324405331473590377097748003332016540283e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8927140364024362914725857540223405112801e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3579769926072466161090201412269957606547e-03) }}, 
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+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1919596775024813063584261771748332280231e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1320065714847795076535162233407953682447e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9379439230607189067257062038983908534777e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9184294109282531750493586044664684236543e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7823478799974317272111633276331743265269e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0416755936156874778287864920444060004626e-03) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0146617640724507391079401596475779225156e-03) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.2172237139021220276263316363485278313087e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.0304346106233984023747334007366898899910e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.8325417378294046636821041350140901804231e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1814301233447506055092888863297093366136e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1216567980356676286868139213012294175954e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9281721955082643851033114305185847314958e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9087154758622882245070014356872827256685e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7730352132920999647332567776412602330408e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0195198233587599243778531900497479043039e-03) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(9.9319120610858443503722160071862765457699e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0504388943047209218732607543933829564921e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.8920980661471248286324345142467723875190e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.7442415294667130231423392952328554908896e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1071398387256842865934836233744006647999e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.0486307503803639432424855726914494372786e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.8592117136015892245495036520122760194302e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8401615240858628162308712164025395049690e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7073042084293302829299809458292405793441e-04) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_e3.ipp b/src/boost/libs/math/test/ellint_rj_e3.ipp
new file mode 100644
index 00000000..0f7804eb
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e3.ipp
@@ -0,0 +1,2222 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2210> ellint_rj_e3 = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(6.3184005715838649623578654586095480152918e-13) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9224343414647430312433258854669870726182e-13) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(9.8481698870830089988969463050504592196018e-14) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(9.6089281806067606000817662782024227232938e-14) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(8.8580341885591274716342682325964382390155e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.6481757907586426628962478337260164675584e-13) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.2942117060858409081054106653191869391825e-13) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(8.8035245802019375368401307301233077711685e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(8.5896604544078048793184620187226129944948e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(7.9184175948803982251783673244132690590808e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.0827951584278495148641129118302961787193e-13) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.8896002567620689016137651229245636545848e-13) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.8049961542188162567582021383014665072683e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.6882683263352931743957675552205541985626e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.3219015002768547862791248072269674388520e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2215103364157740098561264865556331120953e-13) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.0822910730728815481986360712896282587580e-13) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(3.4625552702887988141418898477098537646577e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(3.3784393745304666987678156816128166730572e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(3.1144297179745884505342342782290825705868e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.0044398919926688160387745675894692755430e-13) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.8788241608371876981069795139571475644409e-13) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(3.1242185994930960246441832131679171316733e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(3.0483219204433245687298830150297998362500e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.8101094400433037667015158496548779356013e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.0723316422806715970632559436525080063044e-13) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.0051299647325692665234868782292681410346e-13) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.6713888378601999559016546507729368896705e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.6307857692352874879694467092250329272991e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.5033472856271988919385611919599943386327e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(7.6916985414545987848610041428262996914529e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(7.2096694519457870326642481491695902544674e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.1988659645471806984276357228582455083799e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.1697418996210916076659558153976715665702e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.0783318954913282773010693484564050766550e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(6.8083757158682737771797936394192483655515e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(6.3817033586943209693332276544969993525605e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.0611869245281704328641132718289991476366e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.0354074981347047868454240851762292604633e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(9.5449511591505474010104489408120588199743e-15) }}, 
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+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.7172564621688615752143081567748343582770e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.7004479887979056896454824122097210613052e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.6453857716033654294607460968053411224172e-46) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.2338739505816513642973615799668723107053e-46) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.2154696338986762154735258361378469714566e-46) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(7.3270844452856836407413911854109798233182e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(7.2660965928924908963627892534411724443472e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(7.0656531015502443071727095099661202110186e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.8543833603747367077751143264506124671185e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(3.8056886123956611885625496785578068493820e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(2.4959920579541072198920795135255143569045e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(2.4788423455516835603522194510144867092450e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.4223209103236261949259257319641126324717e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.7170865028319826966237233253863667125819e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6975379702105909898237524980571441823928e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.1660859285975575474945504117982223659692e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.1590161167812941715628939804313659177184e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.1356857658983980981556340601270684040531e-47) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.9647019510807712225971230425059800234255e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9046864750029203443842207412115483715888e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.2588036231236855787244952483717401647401e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.2366196631512055003090057549843827261180e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.1633320045481990279241755417251929377308e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2869630483381444337862446629260753056078e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.2661648145470904193975250273020275168699e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.6931732686884129216391300898060038776338e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.6853956799410394656981241623898384538555e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.6596857351898397231469143629373415540994e-48) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(8.6516979939755994049538220415711954645746e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(8.5800305648398144230766500883447530602905e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(6.6002573633540705027658022864934776350157e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(6.5732706794385645573670907634925619254571e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(6.4840289058468934876042505541175325370369e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.7870695688121189629444250088480351189652e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.7661553223927966841871366057719924275814e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(2.1874165412405911496421878949764975039195e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(2.1795059759554870337885712312815313370225e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.1533402051313588945684740905624564261047e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.6507378118804737500150294412532914150181e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6388664964446100418862556062655646230303e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.3102056623975094970040092779332695044680e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.3057098322508975331550689745739048726777e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.2908379243344765517293923319411374813457e-49) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_e4.ipp b/src/boost/libs/math/test/ellint_rj_e4.ipp
new file mode 100644
index 00000000..0091621c
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e4.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 221> ellint_rj_e4 = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.1591347721157429088009140561489321101032e+43) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.8025426768813065775721805427136387158775e+42) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0178282889588961387363651548386847505189e+42) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(3.4937596204375519072486799492055320404445e+41) }}, 
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+      {{ SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.5252724844274283485711164097889669824333e-20) }}, 
+      {{ SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(9.6848000513798749504636143135095697334396e-21) }}, 
+      {{ SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(1.7528683384684325499585218233961702349754e-21) }}, 
+      {{ SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(8.2461326616873027661690077467477239433592e-22) }}, 
+      {{ SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5244037838561698009392599225865629558297e-22) }}, 
+      {{ SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(1.1841551221219940330200526345856545652196e-22) }}, 
+      {{ SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(2.6720700250191111905648529882401078381318e-23) }}, 
+      {{ SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.6844164374828786804594696654750101196940e-23) }}, 
+      {{ SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(8.4838998261101555237307946245990894127516e-24) }}, 
+      {{ SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(1.3356380485337204170095416134901343825643e-24) }}, 
+      {{ SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(4.8699887845136379116152767871343743126731e-25) }}, 
+      {{ SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.0721350966735692041560346691659593278158e-25) }}, 
+      {{ SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(7.2625173372709075817988731803585361348306e-26) }}, 
+      {{ SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(2.6797790249889441376478657893074556432642e-26) }}, 
+      {{ SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(8.0133340420992867452374294355367895337196e-27) }}, 
+      {{ SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(2.4343974532736681000058069022355272982086e-27) }}, 
+      {{ SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(1.0351453546602344224967003388756464660737e-27) }}, 
+      {{ SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(5.5401364133438695077020587760081212866457e-28) }}, 
+      {{ SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(1.3117813031241628231394820272642234623008e-28) }}, 
+      {{ SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(4.3348943965238912629172876802061223034712e-29) }}, 
+      {{ SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(2.1729850794578639427299792767817563216792e-29) }}, 
+      {{ SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(5.4347145753145946959178277776169309459060e-30) }}, 
+      {{ SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(2.2868545243036362403546021192045469279848e-30) }}, 
+      {{ SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.7275067423393828543599556836992248128789e-31) }}, 
+      {{ SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(4.2009587968471488750572362027061472656058e-31) }}, 
+      {{ SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(1.0046054213931135883644470099263326087106e-31) }}, 
+      {{ SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.6938432729639373749450863473476250731635e-32) }}, 
+      {{ SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.2091248674270751061752260956354737147220e-32) }}, 
+      {{ SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(5.2379121758362895910185848055946476645437e-33) }}, 
+      {{ SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(2.8479381893321415974223960789148685276211e-33) }}, 
+      {{ SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(6.9244179743696634091696789337235938404876e-34) }}, 
+      {{ SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.0337327051277727008982819400180427993931e-34) }}, 
+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.7744494087600150203765673017484711578262e-35) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.0288753146104063272103101319477436751656e-35) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(1.0776560212334060415241952783961381215531e-35) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(2.2377020720091407413010659087995982032280e-36) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(7.7252555568665586603456786042795749256475e-37) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(6.2637864895364561301401520132953130469257e-37) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.1443693720668992815087263609302554517038e-37) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(4.7857440881650091612417628752981254574601e-38) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.0181210624874437322755542031848925852443e-38) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(6.5995565192110303816586016066095847879993e-39) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.5434428391334568706163940836113767799054e-39) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.4435205502650156869693831753504925796075e-39) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.2890972193469096777795156856123092483278e-40) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.1879107327559925906773287960526392067809e-40) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_zp.ipp b/src/boost/libs/math/test/ellint_rj_zp.ipp
new file mode 100644
index 00000000..169fcb8d
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_zp.ipp
@@ -0,0 +1,2012 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2000> ellint_rj_zp = {{
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.4362180043152339637482461583308887968176e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.9501239776125767214996789661250527562833e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.0046632786842204680540980640364534822930e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6048680649777725659801897110521123897589e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7086889781233703030371896877587213993468e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2984116210194706411391299652340714923736e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2638854007618123030324215106835908806669e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1556351191004319805996875347482576893372e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1450436240831572873316445720974561596967e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0726614626374240498642174005037821336747e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.2703859199545360909665676111593795397069e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7955048242365123393101104236957639171426e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.9152501495337206225915273901670603519691e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.5443045148905128825389733780199654350646e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6837676984714023225606665378258084511735e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2804313753536873066675327954370571606668e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2464718378084965892740193825804206579239e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1399786941814259532119139785164510571844e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1295574717153909014297226404049077957790e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0583307176643139349377463181550524956806e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.0529880189948233630353259147793057471527e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.6584283216072493345447101498327651653736e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.2489902574289003713095822156745825644887e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.0890891501761759548907002396980435054764e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4931758319162522705570004306605787382378e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1421635447107497534724496483484416913854e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.1124927597048128914083483345943660150418e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0193163753241327313544253691098159702660e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0101871326408964240212983060751037046122e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(9.4773485385666997118246254768387178268270e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.2750221888047824208713604130242590625453e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.9299264052914018616403933578057922827841e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.8137719422156033969166648197688954822116e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7878550865568313472113693559054393018036e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3636823378774701731976759794539755406794e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0474161887611736298022367612575516253559e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0206106160473000090492132292617969328107e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.3634981841630333464155443649231760398231e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.2808714875971466993437944473314788295010e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.7152804393215516355255339510065893843478e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.7673794506573968260563622192893784795816e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.5139157103969464281052135773500604108291e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.9480249350476094068685690395909183777491e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.1789746304512232039006749723165928200076e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.0928709117246039371818884529338179551628e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4698300744331425111854244616651288262200e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.2602629593249993523221994350548913144010e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(7.6001604475716457973604987475466678157863e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(7.5353156605047207086339942503178268048037e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.0908642160228630789344678467090061208183e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.2996632472089004530759704544120959598697e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0734789559141333123459448234886752450430e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.6731700644906361935299956913026900592747e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9828536531327529897879973918871415840184e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.0028346887869952318181189335448788667858e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.7961085068837378894965171044710347772564e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.6055135217070126349542171349381032207407e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(7.0047661880670598244718326774133538153593e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.9457176387730079005198645797255321410604e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.5408188129874284027770905253158126924757e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.2561068848593554531657702163139561809032e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0324351689820956580395725849366352115418e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.6474178158211312918723186036843249161202e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9644064568247401691741835106764186575874e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.9429096155036376580015187197339406977169e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.7319771582281470095856329263178414418987e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.5431692629865207997946045419123219170914e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.9480170047777630913949450769689327095030e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.8895151798873731282017303672786158792430e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.4883488524927111204819401849115385866430e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.1143237711791330771362238683875266089613e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.8987980151904237725387089078391144907874e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.5634038657755987910657641251448298882829e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9041379872661629374256699705785796874859e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.6628625827256744836940895755223904828969e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.5215188771059434843315174793476678968942e-04) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(7.3385522428290809519465671705384265970781e-04) }}, 
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+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.7022637781810064939946305357593975819892e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.2793349575923958738948550192818012950812e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.2376139054078583793759155389942383193744e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.9507711904721855026365828889573479252150e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1981239877767407902300384033652533287366e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.0967190230683154974168721304659946356737e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.4500215307433227826418321624206445912662e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.1150797321758035661168402107289863999497e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(6.0914379329285853784197666011285744681160e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.8615874550404380398946008839672587193343e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.7546703987352406754347763407981860441556e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4154550214530508063215207423066709813946e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.3819242730229116486298771179877207569240e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.1510472640807190043204859633930658654132e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9969441959365016208689818599394276501338e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.9061674886036403358455739553842413524100e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3256913179647945499944943163998099227839e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0236335381792067192747501628672908184536e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6440496932022123912247593995311121435397e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.5196400838090581773758187986390644433492e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4216823403099912145085729216173142583060e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.1106473245725808977719467088530263204284e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0798812270920119229064421280201404307641e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8679335008930632304188030879543262096853e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9780649847234885553092691298034653267405e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8882709452301686447372507140673469723521e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3139379427112612040973538266320268680572e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0149483937306083284993194721791912263619e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6011132808647185655830122154790570759528e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4867018308302287600277493632469640606275e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.3895956931388929338070959058452501840113e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.0812416731091476656895337705778737831458e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0507387983314501651849210461467643197487e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8405943500207392170106390643814203360373e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9164363634567006224073434096379604391900e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8298325713130702836427542452011529735095e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2754673087168140300242556499143212423365e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8647149927562637682551255965955664981902e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4597832976710783766788597293024020160063e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3781309504110333732828074586935131326338e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2838176289096361865942372272578018232772e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9842587720064166742943883506005079834976e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9546196625707525065259036221051725152140e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7503939231247746832774973152291984195805e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9101940014404765451844395468677864342963e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8239118528227733230074757777570955996429e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2715617763587818742000305442472884078287e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8357632126194273559026064726926590569009e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4453672136147792150581920580911373717030e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3670433490769849765689040310487860234007e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2730140075268031962185107779810600578067e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9743497137919661265842777533389293649289e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9447984799521384499460878669335638174838e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7411749910575080979566480577859194332427e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8664255547145513931852525945202706461027e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7823908916101695280349329191633981014369e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2441322530131967860208743579878576232633e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.6322087103673091416008415033078512390708e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.3437620493807148196268830657751056794131e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.2888287782045867101122272865886991493749e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1967962069245236597936839573346916332978e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9044232348904597245151411008556735859689e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8754901277022908937521279745835266901759e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6761034994021255491166326633354514818636e-04) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp b/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp
new file mode 100644
index 00000000..632f3653
--- /dev/null
+++ b/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp
@@ -0,0 +1,69 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/distributions/empirical_cumulative_distribution_function.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using boost::math::empirical_cumulative_distribution_function;
+
+template<class Z>
+void test_uniform_z()
+{
+    std::vector<Z> v{6,3,4,1,2,5};
+
+    auto ecdf = empirical_cumulative_distribution_function(std::move(v));
+
+    CHECK_ULP_CLOSE(1.0/6.0, ecdf(1), 1);
+    CHECK_ULP_CLOSE(2.0/6.0, ecdf(2), 1);
+    CHECK_ULP_CLOSE(3.0/6.0, ecdf(3), 1);
+    CHECK_ULP_CLOSE(4.0/6.0, ecdf(4), 1);
+    CHECK_ULP_CLOSE(5.0/6.0, ecdf(5), 1);
+    CHECK_ULP_CLOSE(6.0/6.0, ecdf(6), 1);
+
+    // Less trivial:
+
+    v = {6,3,4,1,1,1,2,4};
+    ecdf = empirical_cumulative_distribution_function(std::move(v));
+    CHECK_ULP_CLOSE(3.0/8.0, ecdf(1), 1);
+    CHECK_ULP_CLOSE(4.0/8.0, ecdf(2), 1);
+    CHECK_ULP_CLOSE(5.0/8.0, ecdf(3), 1);
+    CHECK_ULP_CLOSE(7.0/8.0, ecdf(4), 1);
+    CHECK_ULP_CLOSE(7.0/8.0, ecdf(5), 1);
+    CHECK_ULP_CLOSE(8.0/8.0, ecdf(6), 1);
+}
+
+template<class Real>
+void test_uniform()
+{
+    size_t n = 128;
+    std::vector<Real> v(n);
+    for (size_t i = 0; i < n; ++i) {
+      v[i] = Real(i+1)/Real(n);
+    }
+
+    auto ecdf = empirical_cumulative_distribution_function(std::move(v));
+
+    for (size_t i = 0; i < n; ++i) {
+      CHECK_ULP_CLOSE(Real(i+1)/Real(n), ecdf(Real(i+1)/Real(n)), 1);
+    }
+}
+
+
+int main()
+{
+    test_uniform_z<int>();
+    test_uniform<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/erf_data.ipp b/src/boost/libs/math/test/erf_data.ipp
new file mode 100644
index 00000000..a40ec4ad
--- /dev/null
+++ b/src/boost/libs/math/test/erf_data.ipp
@@ -0,0 +1,507 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 500> erf_data = { {
+      {{ SC_(-7.954905033111572265625), SC_(-0.9999999999999999999999999999768236114552), SC_(1.999999999999999999999999999976823611455) }}, 
+      {{ SC_(-7.925852298736572265625), SC_(-0.9999999999999999999999999999631035087875), SC_(1.999999999999999999999999999963103508787) }}, 
+      {{ SC_(-7.923464298248291015625), SC_(-0.9999999999999999999999999999616689085769), SC_(1.999999999999999999999999999961668908577) }}, 
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+      {{ SC_(4.7035999298095703125), SC_(0.9999999999710656528628511442036423007801), SC_(0.289343471371488557963576992198893036785e-10) }}, 
+      {{ SC_(4.70855236053466796875), SC_(0.9999999999724112829756039222900224238312), SC_(0.2758871702439607770997757616876384504719e-10) }}, 
+      {{ SC_(4.7173023223876953125), SC_(0.9999999999746405889607731362343521159649), SC_(0.2535941103922686376564788403511585907718e-10) }}, 
+      {{ SC_(4.72319889068603515625), SC_(0.9999999999760424196780308137523103887781), SC_(0.2395758032196918624768961122193089155665e-10) }}, 
+      {{ SC_(4.75647830963134765625), SC_(0.9999999999826417500285260584857944861917), SC_(0.1735824997147394151420551380832331628646e-10) }}, 
+      {{ SC_(4.7578258514404296875), SC_(0.9999999999828675379559186553605097933328), SC_(0.1713246204408134463949020666719436603364e-10) }}, 
+      {{ SC_(4.76685810089111328125), SC_(0.9999999999843084121078261289867881913554), SC_(0.1569158789217387101321180864461434335413e-10) }}, 
+      {{ SC_(4.7696933746337890625), SC_(0.999999999984735725688693624461200005215), SC_(0.1526427431130637553879999478501051129862e-10) }}, 
+      {{ SC_(4.7944507598876953125), SC_(0.9999999999880137552217601142622348550727), SC_(0.1198624477823988573776514492731315953542e-10) }}, 
+      {{ SC_(4.8010959625244140625), SC_(0.9999999999887691458776479444900639126969), SC_(0.1123085412235205550993608730307459147162e-10) }}, 
+      {{ SC_(4.8044872283935546875), SC_(0.9999999999891364693161538500903435641699), SC_(0.1086353068384614990965643583011596109973e-10) }}, 
+      {{ SC_(4.81623363494873046875), SC_(0.999999999990320054976935784005315704344), SC_(0.9679945023064215994684295656048935330699e-11) }}, 
+      {{ SC_(4.83378314971923828125), SC_(0.9999999999918566015822786881415506967502), SC_(0.8143398417721311858449303249839611412579e-11) }}, 
+      {{ SC_(4.9204959869384765625), SC_(0.9999999999965640766819005108029784331824), SC_(0.3435923318099489197021566817649105671184e-11) }}, 
+      {{ SC_(4.93080806732177734375), SC_(0.9999999999969022277087461656235776754241), SC_(0.3097772291253834376422324575851562900089e-11) }}, 
+      {{ SC_(4.9461956024169921875), SC_(0.9999999999973469736805588663004234322273), SC_(0.2653026319441133699576567772727096047411e-11) }}, 
+      {{ SC_(4.95575237274169921875), SC_(0.9999999999975909997954754364337223859339), SC_(0.2409000204524563566277614066144810071518e-11) }}, 
+      {{ SC_(4.98528766632080078125), SC_(0.9999999999982141805054615991904787167496), SC_(0.1785819494538400809521283250366820400389e-11) }}, 
+      {{ SC_(4.98998355865478515625), SC_(0.9999999999982974491525865962396432033197), SC_(0.1702550847413403760356796680337710810069e-11) }}, 
+      {{ SC_(5.02855682373046875), SC_(0.9999999999988517264956378980619258324192), SC_(0.1148273504362101938074167580787042639038e-11) }}, 
+      {{ SC_(5.03557872772216796875), SC_(0.9999999999989315115047508105969225357869), SC_(0.1068488495249189403077464213064479671328e-11) }}, 
+      {{ SC_(5.0523052215576171875), SC_(0.9999999999991002937379749143926146803551), SC_(0.8997062620250856073853196449004253366533e-12) }}, 
+      {{ SC_(5.07685184478759765625), SC_(0.9999999999993016238951734186597928920516), SC_(0.6983761048265813402071079483580106775973e-12) }}, 
+      {{ SC_(5.08204364776611328125), SC_(0.9999999999993381566276206363690381882733), SC_(0.6618433723793636309618117267347844272082e-12) }}, 
+      {{ SC_(5.13345241546630859375), SC_(0.999999999999612331260405493647794650402), SC_(0.3876687395945063522053495979737659683032e-12) }}, 
+      {{ SC_(5.1391048431396484375), SC_(0.999999999999634588517990564238879426641), SC_(0.3654114820094357611205733589988913877604e-12) }}, 
+      {{ SC_(5.13993549346923828125), SC_(0.9999999999996377517440695332277429140254), SC_(0.3622482559304667722570859745677578023379e-12) }}, 
+      {{ SC_(5.15045261383056640625), SC_(0.9999999999996755500658564562474091399993), SC_(0.3244499341435437525908600006936606245925e-12) }}, 
+      {{ SC_(5.16167926788330078125), SC_(0.9999999999997116260010072844300443598171), SC_(0.2883739989927155699556401829053926593583e-12) }}, 
+      {{ SC_(5.17528629302978515625), SC_(0.9999999999997501000542008628351256583835), SC_(0.2498999457991371648743416165426368804179e-12) }}, 
+      {{ SC_(5.1753253936767578125), SC_(0.9999999999997502029947677817117184848968), SC_(0.2497970052322182882815151031630978773029e-12) }}, 
+      {{ SC_(5.2130718231201171875), SC_(0.9999999999998324127754807945970261376527), SC_(0.1675872245192054029738623472857515088274e-12) }}, 
+      {{ SC_(5.29325771331787109375), SC_(0.9999999999999288856738052204016145340166), SC_(0.7111432619477959838546598339183116790691e-13) }}, 
+      {{ SC_(5.2994289398193359375), SC_(0.9999999999999334607492711678557262715706), SC_(0.665392507288321442737284293716776963984e-13) }}, 
+      {{ SC_(5.36013698577880859375), SC_(0.9999999999999655451494392296744414479568), SC_(0.344548505607703255585520432106041683721e-13) }}, 
+      {{ SC_(5.45147609710693359375), SC_(0.9999999999999873739267894844232513365118), SC_(0.1262607321051557674866348821792628557972e-13) }}, 
+      {{ SC_(5.50894069671630859375), SC_(0.9999999999999933423585918075134713785513), SC_(0.6657641408192486528621448736888188965298e-14) }}, 
+      {{ SC_(5.57548427581787109375), SC_(0.9999999999999968527672544482246160644115), SC_(0.314723274555177538393558852118569471685e-14) }}, 
+      {{ SC_(5.5860691070556640625), SC_(0.9999999999999972086083536154872247664216), SC_(0.2791391646384512775233578379487718997086e-14) }}, 
+      {{ SC_(5.64849758148193359375), SC_(0.9999999999999986305669378936272102876212), SC_(0.136943306210637278971237882925180230156e-14) }}, 
+      {{ SC_(5.67121601104736328125), SC_(0.9999999999999989452188942213501238951865), SC_(0.1054781105778649876104813506873549674391e-14) }}, 
+      {{ SC_(5.6940021514892578125), SC_(0.9999999999999991890350782086923335431393), SC_(0.8109649217913076664568606728738587613782e-15) }}, 
+      {{ SC_(5.8028507232666015625), SC_(0.9999999999999997722139370566709142078876), SC_(0.2277860629433290857921123973267448027079e-15) }}, 
+      {{ SC_(5.89911556243896484375), SC_(0.9999999999999999273310114171591943570055), SC_(0.7266898858284080564299449379332489531228e-16) }}, 
+      {{ SC_(5.90867519378662109375), SC_(0.9999999999999999351899407560267583020934), SC_(0.6481005924397324169790663469831296572444e-16) }}, 
+      {{ SC_(5.92298793792724609375), SC_(0.9999999999999999454148146455550046656746), SC_(0.5458518535444499533432536380511720243893e-16) }}, 
+      {{ SC_(5.95886135101318359375), SC_(0.9999999999999999645670653382102726138283), SC_(0.3543293466178972738617174425389934295203e-16) }}, 
+      {{ SC_(6.0150852203369140625), SC_(0.9999999999999999820915182893228664770405), SC_(0.1790848171067713352295947212902047549442e-16) }}, 
+      {{ SC_(6.02811908721923828125), SC_(0.9999999999999999847253231421033886323739), SC_(0.1527467685789661136762605508631698629412e-16) }}, 
+      {{ SC_(6.037822723388671875), SC_(0.9999999999999999864342825303533563325582), SC_(0.1356571746964664366744180012364556731983e-16) }}, 
+      {{ SC_(6.05489063262939453125), SC_(0.9999999999999999889944678766415576341472), SC_(0.1100553212335844236585283710674808407408e-16) }}, 
+      {{ SC_(6.1759700775146484375), SC_(0.9999999999999999975448452162650769292541), SC_(0.245515478373492307074589212037218914569e-17) }}, 
+      {{ SC_(6.20361804962158203125), SC_(0.9999999999999999982640371408095169271104), SC_(0.1735962859190483072889644262633920675422e-17) }}, 
+      {{ SC_(6.254451751708984375), SC_(0.9999999999999999990857858792087275530364), SC_(0.9142141207912724469636044315135167092246e-18) }}, 
+      {{ SC_(6.4008617401123046875), SC_(0.999999999999999999859864992644041031821), SC_(0.1401350073559589681790226673644335192431e-18) }}, 
+      {{ SC_(6.40293121337890625), SC_(0.9999999999999999998635724949753329988618), SC_(0.1364275050246670011381531339230014520635e-18) }}, 
+      {{ SC_(6.44345760345458984375), SC_(0.9999999999999999999194393258289466407135), SC_(0.805606741710533592864585458434444068011e-19) }}, 
+      {{ SC_(6.47809505462646484375), SC_(0.9999999999999999999487763610108722858332), SC_(0.5122363898912771416675345659572395374372e-19) }}, 
+      {{ SC_(6.49267101287841796875), SC_(0.9999999999999999999576934136067901865991), SC_(0.423065863932098134009397058320083027927e-19) }}, 
+      {{ SC_(6.5178356170654296875), SC_(0.9999999999999999999696208471565094820618), SC_(0.3037915284349051793818500085981039089403e-19) }}, 
+      {{ SC_(6.53493785858154296875), SC_(0.9999999999999999999757610063637445566877), SC_(0.2423899363625544331226481168890701986164e-19) }}, 
+      {{ SC_(6.56903934478759765625), SC_(0.9999999999999999999845747232345600776473), SC_(0.1542527676543992235266715952300598475537e-19) }}, 
+      {{ SC_(6.57036113739013671875), SC_(0.9999999999999999999848432925940364693913), SC_(0.1515670740596353060870931696674263406445e-19) }}, 
+      {{ SC_(6.6012401580810546875), SC_(0.9999999999999999999899544411087670709063), SC_(0.1004555889123292909367535592918549282524e-19) }}, 
+      {{ SC_(6.6133975982666015625), SC_(0.9999999999999999999914607396914475599695), SC_(0.8539260308552440030489025187766437033893e-20) }}, 
+      {{ SC_(6.614013671875), SC_(0.9999999999999999999915308157266726582396), SC_(0.846918427332734176038950311387000199938e-20) }}, 
+      {{ SC_(6.65176868438720703125), SC_(0.9999999999999999999948960492295407549616), SC_(0.5103950770459245038373864424994355232744e-20) }}, 
+      {{ SC_(6.67388629913330078125), SC_(0.9999999999999999999962112561597774386166), SC_(0.3788743840222561383427898405609521135209e-20) }}, 
+      {{ SC_(6.675098419189453125), SC_(0.9999999999999999999962727294431245722943), SC_(0.3727270556875427705686833997971476711389e-20) }}, 
+      {{ SC_(6.73399639129638671875), SC_(0.9999999999999999999983224938408648373451), SC_(0.1677506159135162654937097106857586013789e-20) }}, 
+      {{ SC_(6.774074554443359375), SC_(0.9999999999999999999990294388848823039468), SC_(0.9705611151176960532165924022124182051181e-21) }}, 
+      {{ SC_(6.839885711669921875), SC_(0.9999999999999999999996075324506377418898), SC_(0.3924675493622581101992853509398975667702e-21) }}, 
+      {{ SC_(6.86166667938232421875), SC_(0.9999999999999999999997097026235625653255), SC_(0.2902973764374346745366897115310349140629e-21) }}, 
+      {{ SC_(6.86821842193603515625), SC_(0.9999999999999999999997349241430742071849), SC_(0.2650758569257928151403169457718795390422e-21) }}, 
+      {{ SC_(6.87017536163330078125), SC_(0.9999999999999999999997420278370314862565), SC_(0.2579721629685137435110698159577792881e-21) }}, 
+      {{ SC_(6.9438915252685546875), SC_(0.999999999999999999999907789706111134148), SC_(0.9221029388886585196730336935045033388208e-22) }}, 
+      {{ SC_(6.94417095184326171875), SC_(0.9999999999999999999999081504757103419795), SC_(0.9184952428965802049788611864563591946226e-22) }}, 
+      {{ SC_(7.02402496337890625), SC_(0.999999999999999999999970229303356580071), SC_(0.2977069664341992903453738993900401285503e-22) }}, 
+      {{ SC_(7.04118442535400390625), SC_(0.9999999999999999999999766690647347813976), SC_(0.2333093526521860243876854475410979262103e-22) }}, 
+      {{ SC_(7.0728092193603515625), SC_(0.9999999999999999999999851346580378971058), SC_(0.1486534196210289422461831541803890066821e-22) }}, 
+      {{ SC_(7.11659526824951171875), SC_(0.9999999999999999999999920618538775044464), SC_(0.7938146122495553642615968497016709781571e-23) }}, 
+      {{ SC_(7.18280124664306640625), SC_(0.9999999999999999999999969477254268593726), SC_(0.3052274573140627399432973240733715500213e-23) }}, 
+      {{ SC_(7.20355319976806640625), SC_(0.9999999999999999999999977419301284355623), SC_(0.2258069871564437709331260570315365949665e-23) }}, 
+      {{ SC_(7.27909374237060546875), SC_(0.9999999999999999999999992515556916792261), SC_(0.7484443083207738734503483608935021035732e-24) }}, 
+      {{ SC_(7.28028106689453125), SC_(0.9999999999999999999999992645004451770347), SC_(0.7354995548229653146869970523781527988642e-24) }}, 
+      {{ SC_(7.298152923583984375), SC_(0.9999999999999999999999994345631928770567), SC_(0.5654368071229432894992332067407147179749e-24) }}, 
+      {{ SC_(7.31467151641845703125), SC_(0.9999999999999999999999995568116259996168), SC_(0.4431883740003831823890539135951501761503e-24) }}, 
+      {{ SC_(7.32010936737060546875), SC_(0.9999999999999999999999995910130381669911), SC_(0.4089869618330089157685151201949087925479e-24) }}, 
+      {{ SC_(7.34866237640380859375), SC_(0.9999999999999999999999997319906448357093), SC_(0.268009355164290673339087031887057715089e-24) }}, 
+      {{ SC_(7.351879119873046875), SC_(0.9999999999999999999999997444791197223142), SC_(0.2555208802776857586959896180952785091403e-24) }}, 
+      {{ SC_(7.35590362548828125), SC_(0.9999999999999999999999997592943074733691), SC_(0.2407056925266308623391590746789683246709e-24) }}, 
+      {{ SC_(7.390369415283203125), SC_(0.9999999999999999999999998558663763263787), SC_(0.1441336236736213391389793807586759175995e-24) }}, 
+      {{ SC_(7.43821620941162109375), SC_(0.9999999999999999999999999295502581038212), SC_(0.7044974189617879705218727765406635153304e-25) }}, 
+      {{ SC_(7.43946170806884765625), SC_(0.9999999999999999999999999308550578406467), SC_(0.6914494215935333790398074475111218230458e-25) }}, 
+      {{ SC_(7.48311901092529296875), SC_(0.999999999999999999999999964163218913179), SC_(0.3583678108682102561152351850893798856277e-25) }}, 
+      {{ SC_(7.49824619293212890625), SC_(0.9999999999999999999999999714868908856129), SC_(0.2851310911438713788012919629820992423858e-25) }}, 
+      {{ SC_(7.50188446044921875), SC_(0.9999999999999999999999999730141507157818), SC_(0.2698584928421822020035304290073321597406e-25) }}, 
+      {{ SC_(7.52948474884033203125), SC_(0.9999999999999999999999999822420651220879), SC_(0.1775793487791212989839150755243583008096e-25) }}, 
+      {{ SC_(7.6320323944091796875), SC_(0.9999999999999999999999999962984458271673), SC_(0.3701554172832712513006017529906907914499e-26) }}, 
+      {{ SC_(7.6759738922119140625), SC_(0.9999999999999999999999999981215459672183), SC_(0.1878454032781689292876320094611621328422e-26) }}, 
+      {{ SC_(7.67881011962890625), SC_(0.999999999999999999999999998202249704333), SC_(0.1797750295667047232713633441478606640198e-26) }}, 
+      {{ SC_(7.69775485992431640625), SC_(0.9999999999999999999999999986598159749852), SC_(0.1340184025014838921678286365792744470017e-26) }}, 
+      {{ SC_(7.70757007598876953125), SC_(0.9999999999999999999999999988493273258458), SC_(0.1150672674154231530685408186230565876878e-26) }}, 
+      {{ SC_(7.71776866912841796875), SC_(0.9999999999999999999999999990181051135537), SC_(0.9818948864462603043818495768683861311821e-27) }}, 
+      {{ SC_(7.79935359954833984375), SC_(0.9999999999999999999999999997259876414039), SC_(0.2740123585961319556857387807076098785701e-27) }}, 
+      {{ SC_(7.81407070159912109375), SC_(0.9999999999999999999999999997826446873284), SC_(0.2173553126715507615629930753265485721298e-27) }}, 
+      {{ SC_(7.81634521484375), SC_(0.9999999999999999999999999997902963473516), SC_(0.209703652648431358354620963217352346183e-27) }}, 
+      {{ SC_(7.84175968170166015625), SC_(0.9999999999999999999999999998595912638039), SC_(0.1404087361960659424532579514219630734144e-27) }}, 
+      {{ SC_(7.88610076904296875), SC_(0.9999999999999999999999999999304798650663), SC_(0.6952013493370366965787168537834557597352e-28) }}, 
+      {{ SC_(7.89655590057373046875), SC_(0.9999999999999999999999999999411317291543), SC_(0.5886827084565561878281328421149862522402e-28) }}, 
+      {{ SC_(7.9050960540771484375), SC_(0.9999999999999999999999999999486179207741), SC_(0.513820792259039401977061154556515432295e-28) }}, 
+      {{ SC_(7.93815517425537109375), SC_(0.9999999999999999999999999999696918627742), SC_(0.3030813722580726383815315462367670870671e-28) }}, 
+      {{ SC_(7.94338130950927734375), SC_(0.9999999999999999999999999999721239170155), SC_(0.2787608298449905464917225531595312562447e-28) }}
+   } };
diff --git a/src/boost/libs/math/test/erf_inv_data.ipp b/src/boost/libs/math/test/erf_inv_data.ipp
new file mode 100644
index 00000000..26b113a8
--- /dev/null
+++ b/src/boost/libs/math/test/erf_inv_data.ipp
@@ -0,0 +1,108 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> erf_inv_data = { {
+      {{ SC_(-0.990433037281036376953125), SC_(-1.832184533179510927322805923563700329767) }}, 
+      {{ SC_(-0.936334311962127685546875), SC_(-1.311339282092737086640055105484822812599) }}, 
+      {{ SC_(-0.931107819080352783203125), SC_(-1.286316461685184857889337272829270644576) }}, 
+      {{ SC_(-0.928576648235321044921875), SC_(-1.274755355308702535979544636706295190547) }}, 
+      {{ SC_(-0.92711746692657470703125), SC_(-1.268242390461126936128446743938528753699) }}, 
+      {{ SC_(-0.907657206058502197265625), SC_(-1.190178701802009872651528128114629153367) }}, 
+      {{ SC_(-0.89756715297698974609375), SC_(-1.154826929034364581020764782706068245251) }}, 
+      {{ SC_(-0.80573642253875732421875), SC_(-0.917873491512746130598510739795171676962) }}, 
+      {{ SC_(-0.804919183254241943359375), SC_(-0.9161942446913841771580833184012189161559) }}, 
+      {{ SC_(-0.780276477336883544921875), SC_(-0.867806431357551134410815525153998291827) }}, 
+      {{ SC_(-0.775070965290069580078125), SC_(-0.8580919924152284867224297625328485999768) }}, 
+      {{ SC_(-0.7496345043182373046875), SC_(-0.8127924290810407931222432768905514928867) }}, 
+      {{ SC_(-0.74820673465728759765625), SC_(-0.8103475955423936417307157186107256388648) }}, 
+      {{ SC_(-0.74602639675140380859375), SC_(-0.806632688757205819001462030577472890805) }}, 
+      {{ SC_(-0.72904598712921142578125), SC_(-0.7784313874823551106598826200232666844639) }}, 
+      {{ SC_(-0.7162272930145263671875), SC_(-0.7579355487144890063429377586715787838945) }}, 
+      {{ SC_(-0.701772034168243408203125), SC_(-0.7355614373173595299453301005770428516518) }}, 
+      {{ SC_(-0.68477380275726318359375), SC_(-0.7101588399949052872532446197423489724803) }}, 
+      {{ SC_(-0.657626628875732421875), SC_(-0.6713881533266128640126408255047881638389) }}, 
+      {{ SC_(-0.652269661426544189453125), SC_(-0.6639738263692763456669198307149427734317) }}, 
+      {{ SC_(-0.6262547969818115234375), SC_(-0.6289572925573171740836428308746584439674) }}, 
+      {{ SC_(-0.62323606014251708984375), SC_(-0.6249936843093662471116097431474787933967) }}, 
+      {{ SC_(-0.57958185672760009765625), SC_(-0.5697131213589784467617578394703976041604) }}, 
+      {{ SC_(-0.576151371002197265625), SC_(-0.5655172244109430153330195150336141500139) }}, 
+      {{ SC_(-0.5579319000244140625), SC_(-0.5435569422159360687847790186563654276103) }}, 
+      {{ SC_(-0.446154057979583740234375), SC_(-0.4186121208546731033057205459902879301199) }}, 
+      {{ SC_(-0.44300353527069091796875), SC_(-0.4152898953738801984047941692529271391195) }}, 
+      {{ SC_(-0.40594112873077392578125), SC_(-0.3768620801611051992528860948080812212023) }}, 
+      {{ SC_(-0.396173775196075439453125), SC_(-0.3669220210390825311547962776125822899061) }}, 
+      {{ SC_(-0.38366591930389404296875), SC_(-0.3542977152760563782151668726041057557165) }}, 
+      {{ SC_(-0.36689913272857666015625), SC_(-0.3375493847053488720470432821496358279516) }}, 
+      {{ SC_(-0.365801036357879638671875), SC_(-0.3364591774366710656954166264654945559873) }}, 
+      {{ SC_(-0.277411997318267822265625), SC_(-0.2510244067029671790889794981353227476998) }}, 
+      {{ SC_(-0.236883103847503662109375), SC_(-0.213115119330839975829499967157244997714) }}, 
+      {{ SC_(-0.215545952320098876953125), SC_(-0.1934073617841803428235669261097060281642) }}, 
+      {{ SC_(-0.202522933483123779296875), SC_(-0.1814532246720147926398927046057793150106) }}, 
+      {{ SC_(-0.18253767490386962890625), SC_(-0.1632073953550647568421821286058243218715) }}, 
+      {{ SC_(-0.156477451324462890625), SC_(-0.1395756320903277910768376053314442757507) }}, 
+      {{ SC_(-0.1558246612548828125), SC_(-0.1389857795955756484965030151195660030168) }}, 
+      {{ SC_(-0.12251126766204833984375), SC_(-0.109002961098867662134935094105847496074) }}, 
+      {{ SC_(-0.1088275909423828125), SC_(-0.09674694516640724629590870677194632943569) }}, 
+      {{ SC_(-0.08402168750762939453125), SC_(-0.07460044047654119877070700345343119035515) }}, 
+      {{ SC_(-0.05048263072967529296875), SC_(-0.04476895818328636312384562686715995170129) }}, 
+      {{ SC_(-0.029248714447021484375), SC_(-0.0259268064334840921104659134138093242797) }}, 
+      {{ SC_(-0.02486217021942138671875), SC_(-0.02203709146986755832638577823832075055744) }}, 
+      {{ SC_(-0.02047121524810791015625), SC_(-0.01814413302702029459097557481591610553903) }}, 
+      {{ SC_(-0.018821895122528076171875), SC_(-0.01668201759439857888105181293763417899072) }}, 
+      {{ SC_(0.0073254108428955078125), SC_(0.006492067534753215749601670217642082465642) }}, 
+      {{ SC_(0.09376299381256103515625), SC_(0.08328747254794857150987333986733043734817) }}, 
+      {{ SC_(0.0944411754608154296875), SC_(0.08389270963798942778622198997355058545872) }}, 
+      {{ SC_(0.264718532562255859375), SC_(0.2390787735821979528028028789569770109829) }}, 
+      {{ SC_(0.27952671051025390625), SC_(0.2530214201700340392837551955289041822603) }}, 
+      {{ SC_(0.29262602329254150390625), SC_(0.2654374523135675523971788948011709467352) }}, 
+      {{ SC_(0.3109557628631591796875), SC_(0.282950508503826367238408926581528085458) }}, 
+      {{ SC_(0.31148135662078857421875), SC_(0.2834552014554130441860525970673030809536) }}, 
+      {{ SC_(0.32721102237701416015625), SC_(0.2986277427848421570858990348074985028421) }}, 
+      {{ SC_(0.3574702739715576171875), SC_(0.3282140305634627092431945088114761850208) }}, 
+      {{ SC_(0.362719058990478515625), SC_(0.3334035993712283467959295804559099468454) }}, 
+      {{ SC_(0.3896572589874267578125), SC_(0.3603304982893212173104266596348905175268) }}, 
+      {{ SC_(0.4120922088623046875), SC_(0.3831602323665075533579267768785894144888) }}, 
+      {{ SC_(0.41872966289520263671875), SC_(0.3899906753567599452444107492361433402154) }}, 
+      {{ SC_(0.45167791843414306640625), SC_(0.4244594733907945411184647153213164209335) }}, 
+      {{ SC_(0.48129451274871826171875), SC_(0.4563258063707025027210352963461819167707) }}, 
+      {{ SC_(0.4862649440765380859375), SC_(0.4617640058971775089811390737537561779898) }}, 
+      {{ SC_(0.50937330722808837890625), SC_(0.4874174763856674076219106695373814892182) }}, 
+      {{ SC_(0.5154802799224853515625), SC_(0.4943041993872143888987628020569772222018) }}, 
+      {{ SC_(0.52750003337860107421875), SC_(0.5079978091910991117615000459548117088362) }}, 
+      {{ SC_(0.53103363513946533203125), SC_(0.5120597685873370942783226077302881881069) }}, 
+      {{ SC_(0.58441460132598876953125), SC_(0.5756584292527058478710392476034273328569) }}, 
+      {{ SC_(0.5879499912261962890625), SC_(0.5800336103175463592377907341030447077804) }}, 
+      {{ SC_(0.59039986133575439453125), SC_(0.5830784871670823806198622501806646778319) }}, 
+      {{ SC_(0.59455978870391845703125), SC_(0.588273673825686998734497652983815773459) }}, 
+      {{ SC_(0.59585726261138916015625), SC_(0.5899005483108011364541949539839185473259) }}, 
+      {{ SC_(0.5962116718292236328125), SC_(0.5903454775096607218832535637355431851718) }}, 
+      {{ SC_(0.6005609035491943359375), SC_(0.5958247243549040349587326482492767206448) }}, 
+      {{ SC_(0.6150619983673095703125), SC_(0.6143583249050861028039832921829036722514) }}, 
+      {{ SC_(0.62944734096527099609375), SC_(0.6331707263097125575937994856370309207836) }}, 
+      {{ SC_(0.64380657672882080078125), SC_(0.6524069265890823819975498133014027247554) }}, 
+      {{ SC_(0.6469156742095947265625), SC_(0.656635855345815020063728463464436343698) }}, 
+      {{ SC_(0.67001712322235107421875), SC_(0.6888269167957872563013714303376548038671) }}, 
+      {{ SC_(0.6982586383819580078125), SC_(0.7302336318927408409119676651737758401138) }}, 
+      {{ SC_(0.74485766887664794921875), SC_(0.8046505193013635090578266413458426260098) }}, 
+      {{ SC_(0.75686132907867431640625), SC_(0.8253191678260588578995203396384711816647) }}, 
+      {{ SC_(0.81158387660980224609375), SC_(0.9300427626888758122211127950646282789481) }}, 
+      {{ SC_(0.826751708984375), SC_(0.9629665092443368464606966822833571908852) }}, 
+      {{ SC_(0.83147108554840087890625), SC_(0.9736479209913771931387473923084901789046) }}, 
+      {{ SC_(0.84174954891204833984375), SC_(0.997713670556719074960678197806799852186) }}, 
+      {{ SC_(0.8679864406585693359375), SC_(1.065050516333636716777334376076374184102) }}, 
+      {{ SC_(0.90044414997100830078125), SC_(1.164612422633086435501625591693259387477) }}, 
+      {{ SC_(0.91433393955230712890625), SC_(1.215315881176612875682446995412738776976) }}, 
+      {{ SC_(0.91501367092132568359375), SC_(1.217962731073139868794942852653058932976) }}, 
+      {{ SC_(0.918984889984130859375), SC_(1.233778505900771488542027767896521427575) }}, 
+      {{ SC_(0.92977702617645263671875), SC_(1.28019542575660930623179572273596558907) }}, 
+      {{ SC_(0.93538987636566162109375), SC_(1.306695301483797253764522033930388453334) }}, 
+      {{ SC_(0.93773555755615234375), SC_(1.318335478463913327121670503572736587296) }}, 
+      {{ SC_(0.94118559360504150390625), SC_(1.33613349872692113073358883961598631154) }}, 
+      {{ SC_(0.96221935749053955078125), SC_(1.468821071545234761861756248744372345584) }}, 
+      {{ SC_(0.98576259613037109375), SC_(1.733272259459038694476413373595347034928) }}, 
+      {{ SC_(0.9881370067596435546875), SC_(1.77921769652839903464038407684397479173) }}, 
+      {{ SC_(0.99292266368865966796875), SC_(1.904368122482929779094714951471938518496) }}
+   } };
+
diff --git a/src/boost/libs/math/test/erf_large_data.ipp b/src/boost/libs/math/test/erf_large_data.ipp
new file mode 100644
index 00000000..c5e261de
--- /dev/null
+++ b/src/boost/libs/math/test/erf_large_data.ipp
@@ -0,0 +1,307 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 300> erf_large_data = { {
+      {{ SC_(8.2311115264892578125), SC_(0.9999999999999999999999999999997436415644), SC_(0.2563584356432915693836191701249115171878e-30) }}, 
+      {{ SC_(8.3800067901611328125), SC_(0.9999999999999999999999999999999787664373), SC_(0.212335626810981756102114466368867764939e-31) }}, 
+      {{ SC_(8.39224529266357421875), SC_(0.9999999999999999999999999999999827316301), SC_(0.1726836993826464997300336080711750877816e-31) }}, 
+      {{ SC_(8.66370105743408203125), SC_(0.9999999999999999999999999999999998367494), SC_(0.1632506054605993373182936619108145081694e-33) }}, 
+      {{ SC_(8.9759693145751953125), SC_(0.9999999999999999999999999999999999993611), SC_(0.6389109854135105643535885036658544645608e-36) }}, 
+      {{ SC_(9.1102085113525390625), SC_(0.9999999999999999999999999999999999999445), SC_(0.5554662272164108694298027082501260363284e-37) }}, 
+      {{ SC_(9.45745944976806640625), SC_(0.9999999999999999999999999999999999999999), SC_(0.8480477594433168680596946662186145070498e-40) }}, 
+      {{ SC_(10.61029338836669921875), SC_(1.0), SC_(0.6786472703144874611591306359565011820753e-50) }}, 
+      {{ SC_(10.8140201568603515625), SC_(1.0), SC_(0.8470069870191149998048954134093763207838e-52) }}, 
+      {{ SC_(10.82457828521728515625), SC_(1.0), SC_(0.6733586817565831939437647508350297170672e-52) }}, 
+      {{ SC_(10.9283580780029296875), SC_(1.0), SC_(0.6977670213613499261034444110870077646237e-53) }}, 
+      {{ SC_(10.98818302154541015625), SC_(1.0), SC_(0.1870385270398381154229086866501074415355e-53) }}, 
+      {{ SC_(11.31863117218017578125), SC_(1.0), SC_(0.1142544869245536263179923727458113771164e-56) }}, 
+      {{ SC_(11.69488239288330078125), SC_(1.0), SC_(0.1919907987324948057617154107998359393185e-60) }}, 
+      {{ SC_(11.78605365753173828125), SC_(1.0), SC_(0.2239752724414047638235296360419194553396e-61) }}, 
+      {{ SC_(12.1997470855712890625), SC_(1.0), SC_(0.1061491854672859805410277580039105082623e-65) }}, 
+      {{ SC_(12.4239101409912109375), SC_(1.0), SC_(0.4177140558891845034847722323657671701092e-68) }}, 
+      {{ SC_(13.54282093048095703125), SC_(1.0), SC_(0.9235451601555197945993611934762413642509e-81) }}, 
+      {{ SC_(14.22005176544189453125), SC_(1.0), SC_(0.6009313847910459672567608314935750835662e-89) }}, 
+      {{ SC_(14.22926807403564453125), SC_(1.0), SC_(0.4620339167397254212949689945484104460402e-89) }}, 
+      {{ SC_(14.359676361083984375), SC_(1.0), SC_(0.1100471801774583728133644248988374419641e-90) }}, 
+      {{ SC_(14.41039371490478515625), SC_(1.0), SC_(0.2548929323782609375991749296565683531577e-91) }}, 
+      {{ SC_(14.87335300445556640625), SC_(1.0), SC_(0.3198000452629152167848001696581299429735e-97) }}, 
+      {{ SC_(14.92373943328857421875), SC_(1.0), SC_(0.7101988862786309879894988884459001902733e-98) }}, 
+      {{ SC_(15.8191242218017578125), SC_(1.0), SC_(0.7438591168260150840237290305856485663443e-110) }}, 
+      {{ SC_(15.96480560302734375), SC_(1.0), SC_(0.7187861904421355163894524608883700422307e-112) }}, 
+      {{ SC_(15.99831295013427734375), SC_(1.0), SC_(0.2457896620902286177098546091913977024151e-112) }}, 
+      {{ SC_(16.7455272674560546875), SC_(1.0), SC_(0.5559992295828943910250640094814395579468e-123) }}, 
+      {{ SC_(17.008663177490234375), SC_(1.0), SC_(0.760237064211963037211163791564153667507e-127) }}, 
+      {{ SC_(17.2220897674560546875), SC_(1.0), SC_(0.5043169273534506801418127595237229711103e-130) }}, 
+      {{ SC_(17.757808685302734375), SC_(1.0), SC_(0.35565429074608249855471197796329792194e-138) }}, 
+      {{ SC_(17.802867889404296875), SC_(1.0), SC_(0.7145708921803004436285314631231014067581e-139) }}, 
+      {{ SC_(18.112152099609375), SC_(1.0), SC_(0.1053094819294519519788245447399920974245e-143) }}, 
+      {{ SC_(18.2649860382080078125), SC_(1.0), SC_(0.4020674492293458832133643654712400773494e-146) }}, 
+      {{ SC_(18.32352447509765625), SC_(1.0), SC_(0.4706809140073901333884996503518029500936e-147) }}, 
+      {{ SC_(18.4129180908203125), SC_(1.0), SC_(0.1755474923764976123532737166943228663005e-148) }}, 
+      {{ SC_(18.652309417724609375), SC_(1.0), SC_(0.2428091775485678872414439322587700295772e-152) }}, 
+      {{ SC_(18.9056758880615234375), SC_(1.0), SC_(0.1764835785229242910502507612159515936326e-156) }}, 
+      {{ SC_(19.1091136932373046875), SC_(1.0), SC_(0.7645206854732087495539968665185944859194e-160) }}, 
+      {{ SC_(19.1576213836669921875), SC_(1.0), SC_(0.1191626992794708978523133508616313098621e-160) }}, 
+      {{ SC_(19.31610870361328125), SC_(1.0), SC_(0.2657165206820982194424196529775105931442e-163) }}, 
+      {{ SC_(19.3672046661376953125), SC_(1.0), SC_(0.3671679040400985756060408739652361271147e-164) }}, 
+      {{ SC_(19.6346797943115234375), SC_(1.0), SC_(0.1067452532475426004914816798590685683097e-168) }}, 
+      {{ SC_(19.8862934112548828125), SC_(1.0), SC_(0.5060597273643268882175716699743699135461e-173) }}, 
+      {{ SC_(19.93419647216796875), SC_(1.0), SC_(0.7494327004502860500754429706601818608063e-174) }}, 
+      {{ SC_(20.2273464202880859375), SC_(1.0), SC_(0.5692529890798582547111055729709760376723e-179) }}, 
+      {{ SC_(20.242107391357421875), SC_(1.0), SC_(0.3130080167182599318145495989493729041355e-179) }}, 
+      {{ SC_(20.4949970245361328125), SC_(1.0), SC_(0.1037715327566096248596862690543722677311e-183) }}, 
+      {{ SC_(20.6639499664306640625), SC_(1.0), SC_(0.9828104968491392552509099594974133192176e-187) }}, 
+      {{ SC_(20.9242725372314453125), SC_(1.0), SC_(0.1928501126858728847552898327055431396084e-191) }}, 
+      {{ SC_(20.9607219696044921875), SC_(1.0), SC_(0.4182492638018175069922633264256087874033e-192) }}, 
+      {{ SC_(21.2989482879638671875), SC_(1.0), SC_(0.2552602767811562690060253249228934667833e-198) }}, 
+      {{ SC_(21.3341617584228515625), SC_(1.0), SC_(0.5679087385569991824361542895704294427451e-199) }}, 
+      {{ SC_(21.5831966400146484375), SC_(1.0), SC_(0.1280987506428470296014925421711821162698e-203) }}, 
+      {{ SC_(22.0373077392578125), SC_(1.0), SC_(0.3131661581007378806102060325912155502701e-212) }}, 
+      {{ SC_(22.2569446563720703125), SC_(1.0), SC_(0.1846614406013614928732974356509343390705e-216) }}, 
+      {{ SC_(22.9114551544189453125), SC_(1.0), SC_(0.2598259766741800523533570657530873506244e-229) }}, 
+      {{ SC_(23.0804386138916015625), SC_(1.0), SC_(0.108696918487531328017390687052866837422e-232) }}, 
+      {{ SC_(23.3235530853271484375), SC_(1.0), SC_(0.1355781333962075845012366321672254343728e-237) }}, 
+      {{ SC_(23.4473209381103515625), SC_(1.0), SC_(0.4129348514781646974836324488402049303682e-240) }}, 
+      {{ SC_(24.12081146240234375), SC_(1.0), SC_(0.4900590012091086604540120205982908317771e-254) }}, 
+      {{ SC_(24.3631992340087890625), SC_(1.0), SC_(0.382044899410099463972224844951303224334e-259) }}, 
+      {{ SC_(25.061580657958984375), SC_(1.0), SC_(0.379460392354870154626118964688104627376e-274) }}, 
+      {{ SC_(25.23714447021484375), SC_(1.0), SC_(0.5508622514289808668363975738198678197993e-278) }}, 
+      {{ SC_(25.3777942657470703125), SC_(1.0), SC_(0.4435055276360357438046878641441812378362e-281) }}, 
+      {{ SC_(25.813503265380859375), SC_(1.0), SC_(0.8969991006618404791166973289604328222239e-291) }}, 
+      {{ SC_(26.1247920989990234375), SC_(1.0), SC_(0.8433396822097075603573541828301520902564e-298) }}, 
+      {{ SC_(26.3525791168212890625), SC_(1.0), SC_(0.5380559555748413036380180439113786214843e-303) }}, 
+      {{ SC_(26.776111602783203125), SC_(1.0), SC_(0.8944111506115654515313274252719979616663e-313) }}, 
+      {{ SC_(26.8727970123291015625), SC_(1.0), SC_(0.4980346568584009068204868294049186460128e-315) }}, 
+      {{ SC_(27.6731243133544921875), SC_(1.0), SC_(0.5315985423107748521341095763480509306686e-334) }}, 
+      {{ SC_(27.6761074066162109375), SC_(1.0), SC_(0.4506400985060962000709584088621043872847e-334) }}, 
+      {{ SC_(27.96904754638671875), SC_(1.0), SC_(0.3715003445893695695072259525562685194324e-341) }}, 
+      {{ SC_(28.58887481689453125), SC_(1.0), SC_(0.2166518476138800933879816106005670654441e-356) }}, 
+      {{ SC_(28.742389678955078125), SC_(1.0), SC_(0.3244339622815072602163752228132919409512e-360) }}, 
+      {{ SC_(28.851139068603515625), SC_(1.0), SC_(0.6157273676049535809152624774082572414474e-363) }}, 
+      {{ SC_(28.9178009033203125), SC_(1.0), SC_(0.1305949729571576658796058283659336601413e-364) }}, 
+      {{ SC_(29.1156768798828125), SC_(1.0), SC_(0.1335911177834992334477211342269950231736e-369) }}, 
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+      {{ SC_(74.807342529296875), SC_(1.0), SC_(0.320164469944205443450167902957404361688e-2432) }}, 
+      {{ SC_(75.01886749267578125), SC_(1.0), SC_(0.5501656655265385463409067358984172337294e-2446) }}, 
+      {{ SC_(75.3089447021484375), SC_(1.0), SC_(0.6319468915000774061299279774718180641493e-2465) }}, 
+      {{ SC_(75.34217071533203125), SC_(1.0), SC_(0.4232650489503930895532015931831887522867e-2467) }}, 
+      {{ SC_(75.3960723876953125), SC_(1.0), SC_(0.1252103871082113384792176510455204354046e-2470) }}, 
+      {{ SC_(75.45360565185546875), SC_(1.0), SC_(0.2128736422560450047027718674310538561411e-2474) }}, 
+      {{ SC_(75.5235443115234375), SC_(1.0), SC_(0.5520057148754538352100449496414500231534e-2479) }}, 
+      {{ SC_(75.7169952392578125), SC_(1.0), SC_(0.1082452065927623584648516750055819887681e-2491) }}, 
+      {{ SC_(76.1279449462890625), SC_(1.0), SC_(0.8546877316832444989935075245988734481682e-2519) }}, 
+      {{ SC_(76.470703125), SC_(1.0), SC_(0.1638058714171406332549731275799690588823e-2541) }}, 
+      {{ SC_(76.938812255859375), SC_(1.0), SC_(0.1056702363179452330608841676726809135679e-2572) }}, 
+      {{ SC_(77.5743560791015625), SC_(1.0), SC_(0.2358904373500824632540699420486265405702e-2615) }}, 
+      {{ SC_(77.62860107421875), SC_(1.0), SC_(0.5201021650937707207333604556951161883551e-2619) }}, 
+      {{ SC_(77.94854736328125), SC_(1.0), SC_(0.1249443652740786709208083871965551047597e-2640) }}, 
+      {{ SC_(78.06497955322265625), SC_(1.0), SC_(0.1611056496774920949293225513029265281761e-2648) }}, 
+      {{ SC_(78.1817626953125), SC_(1.0), SC_(0.1913800020341339537443259258588625217145e-2656) }}, 
+      {{ SC_(78.7396087646484375), SC_(1.0), SC_(0.1826214635685593066183737049160168091905e-2694) }}, 
+      {{ SC_(79.23296356201171875), SC_(1.0), SC_(0.2578910365673578199346966028090255709301e-2728) }}, 
+      {{ SC_(79.28195953369140625), SC_(1.0), SC_(0.1091891461191934352451814384442219402849e-2731) }}, 
+      {{ SC_(79.53916168212890625), SC_(1.0), SC_(0.1977970219864078402856631374181827871126e-2749) }}, 
+      {{ SC_(79.89411163330078125), SC_(1.0), SC_(0.5214347553208988003055180927464712623108e-2774) }}, 
+      {{ SC_(80.03131103515625), SC_(1.0), SC_(0.1539244869801023794218894091743149755693e-2783) }}, 
+      {{ SC_(81.0540618896484375), SC_(1.0), SC_(0.4282424762803665933789596667679893825473e-2855) }}, 
+      {{ SC_(82.27494049072265625), SC_(1.0), SC_(0.1058661602699748027888078315752637932386e-2941) }}, 
+      {{ SC_(82.40390777587890625), SC_(1.0), SC_(0.6316127985700229083559360532999075433841e-2951) }}, 
+      {{ SC_(82.67310333251953125), SC_(1.0), SC_(0.3161239679691280797883924212187842089968e-2970) }}, 
+      {{ SC_(82.83135223388671875), SC_(1.0), SC_(0.1331877990458538379342065811181569680933e-2981) }}, 
+      {{ SC_(82.8936614990234375), SC_(1.0), SC_(0.4360382415173864210795784221294622630074e-2986) }}, 
+      {{ SC_(82.896820068359375), SC_(1.0), SC_(0.2582766043573584963841163098015327607626e-2986) }}, 
+      {{ SC_(83.0903167724609375), SC_(1.0), SC_(0.290013476198442869046820654577037968453e-3000) }}, 
+      {{ SC_(83.20987701416015625), SC_(1.0), SC_(0.6710637821460133939254155513062400075894e-3009) }}, 
+      {{ SC_(83.5117340087890625), SC_(1.0), SC_(0.930787700439063954052855467933526662801e-3031) }}, 
+      {{ SC_(84.054412841796875), SC_(1.0), SC_(0.2976066148553277399257428533933691648135e-3070) }}, 
+      {{ SC_(84.19962310791015625), SC_(1.0), SC_(0.7279769443639285050812101610482378417998e-3081) }}, 
+      {{ SC_(84.58744049072265625), SC_(1.0), SC_(0.2702912324282395041651536403393819660776e-3109) }}, 
+      {{ SC_(84.58887481689453125), SC_(1.0), SC_(0.2120514736394887571017949592511629200089e-3109) }}, 
+      {{ SC_(85.08606719970703125), SC_(1.0), SC_(0.4856698297979953595767807992015152776328e-3146) }}, 
+      {{ SC_(85.918212890625), SC_(1.0), SC_(0.761735048565653930137023626638747177308e-3208) }}, 
+      {{ SC_(86.31143951416015625), SC_(1.0), SC_(0.2931592864000316245471343335876130048243e-3237) }}, 
+      {{ SC_(86.48769378662109375), SC_(1.0), SC_(0.1734166482219001810675374526329398742724e-3250) }}, 
+      {{ SC_(86.51556396484375), SC_(1.0), SC_(0.1396184688760208541263525791606580135888e-3252) }}, 
+      {{ SC_(86.661895751953125), SC_(1.0), SC_(0.137591974249259342744647335702120081949e-3263) }}, 
+      {{ SC_(86.67838287353515625), SC_(1.0), SC_(0.7894924978682044731133080698270675959047e-3265) }}, 
+      {{ SC_(86.699005126953125), SC_(1.0), SC_(0.2210314800408904240090566206375166498669e-3266) }}, 
+      {{ SC_(86.875640869140625), SC_(1.0), SC_(0.1067393543048809336522125654614257792709e-3279) }}, 
+      {{ SC_(87.12085723876953125), SC_(1.0), SC_(0.3141588749441732230579799060940491765735e-3298) }}, 
+      {{ SC_(87.1272430419921875), SC_(1.0), SC_(0.1032456874487975042510718930756313489085e-3298) }}, 
+      {{ SC_(87.350982666015625), SC_(1.0), SC_(0.1145259102841530225822158676931062199611e-3315) }}, 
+      {{ SC_(87.4471588134765625), SC_(1.0), SC_(0.5719031848650119145301950377270835213481e-3323) }}, 
+      {{ SC_(87.5886077880859375), SC_(1.0), SC_(0.100944910275613191627060617308017176992e-3333) }}, 
+      {{ SC_(88.114166259765625), SC_(1.0), SC_(0.790369642782630853434920273428079682513e-3374) }}, 
+      {{ SC_(88.35390472412109375), SC_(1.0), SC_(0.3336629458423611349557710086599109785783e-3392) }}, 
+      {{ SC_(88.45099639892578125), SC_(1.0), SC_(0.1168446033182320025804519666787072055362e-3399) }}, 
+      {{ SC_(88.55356597900390625), SC_(1.0), SC_(0.1521829146954713302263784465478849666514e-3407) }}, 
+      {{ SC_(88.97168731689453125), SC_(1.0), SC_(0.8788241912132849825702219058327694185942e-3440) }}, 
+      {{ SC_(89.04711151123046875), SC_(1.0), SC_(0.129507473240771950228590714535613326805e-3445) }}, 
+      {{ SC_(89.05876922607421875), SC_(1.0), SC_(0.1623712240263443145358629211111315306735e-3446) }}, 
+      {{ SC_(89.41626739501953125), SC_(1.0), SC_(0.3153753084460525420724595238130726065242e-3474) }}, 
+      {{ SC_(89.51361846923828125), SC_(1.0), SC_(0.8577730193641580987437405819558340102121e-3482) }}, 
+      {{ SC_(89.68304443359375), SC_(1.0), SC_(0.5586301300368715269248196410139332100555e-3495) }}, 
+      {{ SC_(89.70983123779296875), SC_(1.0), SC_(0.4571434971968977143179977283713339395878e-3497) }}
+   } };
diff --git a/src/boost/libs/math/test/erf_small_data.ipp b/src/boost/libs/math/test/erf_small_data.ipp
new file mode 100644
index 00000000..2b7897c0
--- /dev/null
+++ b/src/boost/libs/math/test/erf_small_data.ipp
@@ -0,0 +1,159 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 150> erf_small_data = { {
+      {{ SC_(0.0), SC_(0.0), SC_(1.0) }}, 
+      {{ SC_(0.140129846432481707092372958328991613128e-44), SC_(0.1581195994027057927040695988659415347357e-44), SC_(1.0) }}, 
+      {{ SC_(0.2802596928649634141847459166579832262561e-44), SC_(0.3162391988054115854081391977318830694715e-44), SC_(1.0) }}, 
+      {{ SC_(0.4203895392974451212771188749869748393841e-44), SC_(0.4743587982081173781122087965978246042072e-44), SC_(1.0) }}, 
+      {{ SC_(0.8407790785948902425542377499739496787682e-44), SC_(0.9487175964162347562244175931956492084145e-44), SC_(1.0) }}, 
+      {{ SC_(0.1541428310757298778016102541618907744408e-43), SC_(0.1739315593429763719744765587525356882093e-43), SC_(1.0) }}, 
+      {{ SC_(0.3222986467947079263124578041566807101945e-43), SC_(0.3636750786262233232193600773916655298922e-43), SC_(1.0) }}, 
+      {{ SC_(0.7426881860921530475895766791436555495785e-43), SC_(0.8380338768343407013315688739894901340994e-43), SC_(1.0) }}, 
+      {{ SC_(0.105097384824361280319279718746743709846e-42), SC_(0.1185896995520293445280521991494561510518e-42), SC_(1.0) }}, 
+      {{ SC_(0.210194769648722560638559437493487419692e-42), SC_(0.2371793991040586890561043982989123021036e-42), SC_(1.0) }}, 
+      {{ SC_(0.4666323886201640846176019512355420717163e-42), SC_(0.52653826601101028970455176422358531067e-42), SC_(1.0) }}, 
+      {{ SC_(0.1223333559355565302916415926212096782608e-41), SC_(0.1380384102785621570306527598099669598243e-41), SC_(1.0) }}, 
+      {{ SC_(0.2578389174357663410499662433253445681556e-41), SC_(0.2909400629009786585754880619133324239138e-41), SC_(1.0) }}, 
+      {{ SC_(0.2960943655118338470861840609491592785395e-41), SC_(0.3341067135379173399836990624037344628966e-41), SC_(1.0) }}, 
+      {{ SC_(0.7557202618103738463491673642682517695994e-41), SC_(0.8527389995787923400530473466840226968299e-41), SC_(1.0) }}, 
+      {{ SC_(0.1465898323530191137893313517079581264932e-40), SC_(0.1654089129351705297477272073736614394871e-40), SC_(1.0) }}, 
+      {{ SC_(0.4298903428855673810179817615616804707542e-40), SC_(0.4850793070476208308575447154009354402623e-40), SC_(1.0) }}, 
+      {{ SC_(0.4803791265551905400833637384476161489642e-40), SC_(0.5420497987124157279688209918723341752276e-40), SC_(0.9999999999999999999999999999999999999999) }}, 
+      {{ SC_(0.1055289847513733239771242274583970040145e-39), SC_(0.1190767079181896783695807335139632509788e-39), SC_(0.9999999999999999999999999999999999999999) }}, 
+      {{ SC_(0.2015109230653016692500450852658398094265e-39), SC_(0.227380727529073011082233205257189905196e-39), SC_(0.9999999999999999999999999999999999999998) }}, 
+      {{ SC_(0.7325049501519046019351739362618877290525e-39), SC_(0.8265433255457460713757641362399021627702e-39), SC_(0.9999999999999999999999999999999999999992) }}, 
+      {{ SC_(0.1339665153968418641693291185028075750078e-38), SC_(0.1511650250621765838235665056990208282135e-38), SC_(0.9999999999999999999999999999999999999985) }}, 
+      {{ SC_(0.2677046191439987831560976690835388936862e-38), SC_(0.3020723151773267572050253779518901717253e-38), SC_(0.999999999999999999999999999999999999997) }}, 
+      {{ SC_(0.4980653348629733537806134066371931674319e-38), SC_(0.5620065477118294341833797281540012541512e-38), SC_(0.9999999999999999999999999999999999999944) }}, 
+      {{ SC_(0.6613229117999040042200470598735932013487e-38), SC_(0.7462229963979548044442924939647721094874e-38), SC_(0.9999999999999999999999999999999999999925) }}, 
+      {{ SC_(0.1548242965319156795913711730955404935546e-37), SC_(0.1747005107668316705149757196187806484869e-37), SC_(0.9999999999999999999999999999999999999825) }}, 
+      {{ SC_(0.4146556501891822617936303213288858289615e-37), SC_(0.4678887971919177014040265951235884621123e-37), SC_(0.9999999999999999999999999999999999999532) }}, 
+      {{ SC_(0.9169899847717825977881300331923883942907e-37), SC_(0.1034712395251710806479818721979201078743e-36), SC_(0.9999999999999999999999999999999999998965) }}, 
+      {{ SC_(0.1401743180405455194869357938110469019064e-36), SC_(0.1581697802387722354144421623938376299412e-36), SC_(0.9999999999999999999999999999999999998418) }}, 
+      {{ SC_(0.1945576912957096415426581064633919119024e-36), SC_(0.2195348456562787018647206880870297955178e-36), SC_(0.9999999999999999999999999999999999997805) }}, 
+      {{ SC_(0.6257788193068770148365547155357311502081e-36), SC_(0.7061157829155071490944174116544753093472e-36), SC_(0.9999999999999999999999999999999999992939) }}, 
+      {{ SC_(0.1082390914972224343528760935165450352846e-35), SC_(0.1221347359108108275138920730258033965505e-35), SC_(0.9999999999999999999999999999999999987787) }}, 
+      {{ SC_(0.1694061057766321374547939115222498639949e-35), SC_(0.1911543205371304725231209426978241547223e-35), SC_(0.9999999999999999999999999999999999980885) }}, 
+      {{ SC_(0.4157476136990655326859281227151399960547e-35), SC_(0.469120946067698479126142569921586497913e-35), SC_(0.9999999999999999999999999999999999953088) }}, 
+      {{ SC_(0.7283681265086265937666854409047925692044e-35), SC_(0.8218754199287230086952619241467251109843e-35), SC_(0.9999999999999999999999999999999999917812) }}, 
+      {{ SC_(0.2125163494676521664376074827660149555726e-34), SC_(0.2397990214064882285432839461962890817645e-34), SC_(0.9999999999999999999999999999999999760201) }}, 
+      {{ SC_(0.2530711628583540298128114059620192234547e-34), SC_(0.2855602279620023372947687038386988804286e-34), SC_(0.999999999999999999999999999999999971444) }}, 
+      {{ SC_(0.8643572969601960480494638860332170085101e-34), SC_(0.9753227668168746390533409248013332505622e-34), SC_(0.9999999999999999999999999999999999024677) }}, 
+      {{ SC_(0.99805657801365854084424590887058919672e-34), SC_(0.1126186250213249491600342719979975982704e-33), SC_(0.9999999999999999999999999999999998873814) }}, 
+      {{ SC_(0.2285833483419143806137872349711124495646e-33), SC_(0.2579286882139527639322447178720013355598e-33), SC_(0.9999999999999999999999999999999997420713) }}, 
+      {{ SC_(0.5426235288674262982106993151912976763677e-33), SC_(0.6122850855498543097076270518307709592481e-33), SC_(0.9999999999999999999999999999999993877149) }}, 
+      {{ SC_(0.1147672787261224070426617104882286355311e-32), SC_(0.1295010063788005409890233863705470341395e-32), SC_(0.9999999999999999999999999999999987049899) }}, 
+      {{ SC_(0.22463880715206230259705675341401055879e-32), SC_(0.2534777501115735340046251758622995828684e-32), SC_(0.9999999999999999999999999999999974652225) }}, 
+      {{ SC_(0.4454556413592197901478916560693101385393e-32), SC_(0.5026428655749137894397761320610666694693e-32), SC_(0.9999999999999999999999999999999949735713) }}, 
+      {{ SC_(0.9167850888743889506336831720594191266931e-32), SC_(0.1034481194989668475298051221951978796736e-31), SC_(0.9999999999999999999999999999999896551881) }}, 
+      {{ SC_(0.2029237383788489473978179376606301463249e-31), SC_(0.2289749188958332742407712486623796907403e-31), SC_(0.9999999999999999999999999999999771025081) }}, 
+      {{ SC_(0.4422489809322529014977160404510081439987e-31), SC_(0.4990245367531747508971186530942781923233e-31), SC_(0.9999999999999999999999999999999500975463) }}, 
+      {{ SC_(0.8427819595678069227982621602322463722706e-31), SC_(0.9509776055802459297555061290310693509558e-31), SC_(0.9999999999999999999999999999999049022394) }}, 
+      {{ SC_(0.1894128825516700180187896525548839017318e-30), SC_(0.2137295506508135613325177084306249463745e-30), SC_(0.9999999999999999999999999999997862704493) }}, 
+      {{ SC_(0.3460509137323572130893969054757060828136e-30), SC_(0.390476641809958306521950254784930239331e-30), SC_(0.9999999999999999999999999999996095233582) }}, 
+      {{ SC_(0.7129452701155289322465925784842836259778e-30), SC_(0.8044725900776457681286359991257189545736e-30), SC_(0.9999999999999999999999999999991955274099) }}, 
+      {{ SC_(0.1006606281422698106765835646474453774524e-29), SC_(0.1135833557424855221443633868642206855925e-29), SC_(0.9999999999999999999999999999988641664426) }}, 
+      {{ SC_(0.2691237328241499384996035977623006944895e-29), SC_(0.3036736134897495655058606838487828118587e-29), SC_(0.9999999999999999999999999999969632638651) }}, 
+      {{ SC_(0.53002073552022827485063776974422846038e-29), SC_(0.5980643560896661370936819930965482836573e-29), SC_(0.9999999999999999999999999999940193564391) }}, 
+      {{ SC_(0.6328674258047448903166407618549998992304e-29), SC_(0.7141144188114391407566450273134713579864e-29), SC_(0.9999999999999999999999999999928588558119) }}, 
+      {{ SC_(0.2089027321727668921272023434652731888509e-28), SC_(0.2357214909330836434674323280791160963504e-28), SC_(0.9999999999999999999999999999764278509067) }}, 
+      {{ SC_(0.431842364003957104364921550167833797347e-28), SC_(0.4872819270113422778304421472654534392263e-28), SC_(0.9999999999999999999999999999512718072989) }}, 
+      {{ SC_(0.5869689191576790243963724295243864109357e-28), SC_(0.6623235001100951114675477389355052037517e-28), SC_(0.999999999999999999999999999933767649989) }}, 
+      {{ SC_(0.1659976352436858066871624892515432120194e-27), SC_(0.1873082733960948939621836113363260997334e-27), SC_(0.9999999999999999999999999998126917266039) }}, 
+      {{ SC_(0.2259797844707783785531125574841037632032e-27), SC_(0.2549908809815603534966750948985043565705e-27), SC_(0.9999999999999999999999999997450091190184) }}, 
+      {{ SC_(0.5880869455645201196495195879197812435557e-27), SC_(0.6635850578158372552104628507822996913944e-27), SC_(0.9999999999999999999999999993364149421842) }}, 
+      {{ SC_(0.1210368873588132831231840717009055000898e-26), SC_(0.136575502145771107167093316323928936418e-26), SC_(0.9999999999999999999999999986342449785423) }}, 
+      {{ SC_(0.2865917801972336300962667874631175760926e-26), SC_(0.3233841942353746978165316543252271930097e-26), SC_(0.9999999999999999999999999967661580576463) }}, 
+      {{ SC_(0.6332274308614525819994844546119106938273e-26), SC_(0.7145206410174771386698068058159747695855e-26), SC_(0.9999999999999999999999999928547935898252) }}, 
+      {{ SC_(0.1017015117562076843891927280903461796905e-25), SC_(0.1147578671278241071470420542046720634233e-25), SC_(0.9999999999999999999999999885242132872176) }}, 
+      {{ SC_(0.1732407881343339865174865944566931617746e-25), SC_(0.1954812962219899413849001377507194449177e-25), SC_(0.999999999999999999999999980451870377801) }}, 
+      {{ SC_(0.4851304131156321593400980501390172514877e-25), SC_(0.5474110514841189450665720204629142546924e-25), SC_(0.9999999999999999999999999452588948515881) }}, 
+      {{ SC_(0.8195642344688286703600152101217105477795e-25), SC_(0.9247792082712082720339044529059539700692e-25), SC_(0.9999999999999999999999999075220791728792) }}, 
+      {{ SC_(0.1869609713097047478340985963996916097412e-24), SC_(0.2109628650858126659649010477127478351642e-24), SC_(0.9999999999999999999999997890371349141873) }}, 
+      {{ SC_(0.2530783866565756141965447805546793991855e-24), SC_(0.2855683791454228747266674274313813542172e-24), SC_(0.9999999999999999999999997144316208545771) }}, 
+      {{ SC_(0.4209414052294289885709092151366397306124e-24), SC_(0.474981512228797723082223866616547403578e-24), SC_(0.9999999999999999999999995250184877712023) }}, 
+      {{ SC_(0.1448614172287997697834930368987483835595e-23), SC_(0.1634586053169086194558576878083327447891e-23), SC_(0.9999999999999999999999983654139468309138) }}, 
+      {{ SC_(0.3012998612797836509437815728233749567808e-23), SC_(0.3399804865168757552575507775525287643073e-23), SC_(0.9999999999999999999999966001951348312424) }}, 
+      {{ SC_(0.415276141474016400714459480565419005095e-23), SC_(0.4685889466310888715323687240479993998499e-23), SC_(0.9999999999999999999999953141105336891113) }}, 
+      {{ SC_(0.1204931390183540503963647385927016736362e-22), SC_(0.1359619478462541509417967524360939547446e-22), SC_(0.9999999999999999999999864038052153745849) }}, 
+      {{ SC_(0.1993117661558407300079387840940773127252e-22), SC_(0.2248992446872631349043635494217604899453e-22), SC_(0.9999999999999999999999775100755312736865) }}, 
+      {{ SC_(0.5135333031694984418963713908106404060216e-22), SC_(0.5794602809062059992419407432753169472345e-22), SC_(0.9999999999999999999999420539719093794001) }}, 
+      {{ SC_(0.899483690375495720736892890190099236758e-22), SC_(0.1014958657361899781022539075381620547142e-21), SC_(0.9999999999999999999998985041342638100219) }}, 
+      {{ SC_(0.1495718898928958003798630318006718936674e-21), SC_(0.1687738045382474786366114844967457859701e-21), SC_(0.9999999999999999999998312261954617525214) }}, 
+      {{ SC_(0.4004143349189545415674843981449458618638e-21), SC_(0.4518191937289535418778128853745495698362e-21), SC_(0.9999999999999999999995481808062710464581) }}, 
+      {{ SC_(0.6027338573124474618509081343250763374009e-21), SC_(0.6801123278944849878208640332552941589305e-21), SC_(0.9999999999999999999993198876721055150122) }}, 
+      {{ SC_(0.1659584418309930229572620634728719046791e-20), SC_(0.1872640483657249799664013537449399617766e-20), SC_(0.9999999999999999999981273595163427502003) }}, 
+      {{ SC_(0.2678244821868696143277384944057090132574e-20), SC_(0.3022075661378068793988187051769889525453e-20), SC_(0.999999999999999999996977924338621931206) }}, 
+      {{ SC_(0.5242169890349582687359968492107897830579e-20), SC_(0.5915155294645836590589096407129433743023e-20), SC_(0.9999999999999999999940848447053541634094) }}, 
+      {{ SC_(0.7847303335957885127235572164487720225878e-20), SC_(0.8854733602173995706713015709887803225844e-20), SC_(0.9999999999999999999911452663978260042933) }}, 
+      {{ SC_(0.1543123850410999503479436223765675073594e-19), SC_(0.1741228805051983958166845695046398116561e-19), SC_(0.9999999999999999999825877119494801604183) }}, 
+      {{ SC_(0.4775181844358503128246959748559596903306e-19), SC_(0.5388215712266861317995086503415856707862e-19), SC_(0.99999999999999999994611784287733138682) }}, 
+      {{ SC_(0.6230335359741914917030257154567651767252e-19), SC_(0.7030180623951302655508677093605170542092e-19), SC_(0.9999999999999999999296981937604869734449) }}, 
+      {{ SC_(0.1333737877121347004096484859664295541393e-18), SC_(0.1504962034909922627946995932175931040167e-18), SC_(0.9999999999999999998495037965090077372053) }}, 
+      {{ SC_(0.272678641362033605222928850375652132243e-18), SC_(0.3076848982248274637704507517821273969355e-18), SC_(0.9999999999999999996923151017751725362295) }}, 
+      {{ SC_(0.7848472665613653936552990969532928033914e-18), SC_(0.885605304939703219820034216816760452174e-18), SC_(0.99999999999999999911439469506029678018) }}, 
+      {{ SC_(0.1596567770068200412154901801642381542479e-17), SC_(0.180153381060109581137526939833213468117e-17), SC_(0.9999999999999999981984661893989041886247) }}, 
+      {{ SC_(0.3449535060248237706634344412748305330751e-17), SC_(0.3892383498149675248979402679995676281369e-17), SC_(0.9999999999999999961076165018503247510206) }}, 
+      {{ SC_(0.4351665680924082666098176574998035448516e-17), SC_(0.4910328896519242978931639720387530850973e-17), SC_(0.9999999999999999950896711034807570210684) }}, 
+      {{ SC_(0.9245716998221635790720235315021113819967e-17), SC_(0.1043267444565415210292590191714661224142e-16), SC_(0.9999999999999999895673255543458478970741) }}, 
+      {{ SC_(0.2517825949792599072966925444205799067277e-16), SC_(0.2841062348118440801806623646517627970916e-16), SC_(0.9999999999999999715893765188155919819338) }}, 
+      {{ SC_(0.3607757836945135819072677518803970997396e-16), SC_(0.4070918783134460417227759258926655100437e-16), SC_(0.9999999999999999592908121686553958277224) }}, 
+      {{ SC_(0.6902950590186084176697045577952849271242e-16), SC_(0.7789145637455650616639975178325762794953e-16), SC_(0.9999999999999999221085436254434938336002) }}, 
+      {{ SC_(0.1125254418367572150846966927417724946281e-15), SC_(0.1269713643368146509171410927223650268325e-15), SC_(0.9999999999999998730286356631853490828589) }}, 
+      {{ SC_(0.4283825720300077181945663795659129391424e-15), SC_(0.4833779698254535301267982815421810779873e-15), SC_(0.9999999999999995166220301745464698732017) }}, 
+      {{ SC_(0.5405621861962687634689528337617048237007e-15), SC_(0.6099591094234751315857573573713433261908e-15), SC_(0.9999999999999993900408905765248684142426) }}, 
+      {{ SC_(0.1199026382331771015121724133223324315622e-14), SC_(0.1352956390621069391623702837955015493166e-14), SC_(0.9999999999999986470436093789306083762972) }}, 
+      {{ SC_(0.3388160376379171188909733558602965786122e-14), SC_(0.3823129583484747580613317941389808261798e-14), SC_(0.9999999999999961768704165152524193866821) }}, 
+      {{ SC_(0.4251160106447451902944578705501044169068e-14), SC_(0.4796920500102846351328633565382312006865e-14), SC_(0.9999999999999952030794998971536486713664) }}, 
+      {{ SC_(0.1313415386649738336721782161475857719779e-13), SC_(0.1482030560038262349331825316596395555414e-13), SC_(0.9999999999999851796943996173765066817468) }}, 
+      {{ SC_(0.1777897084111537684414372506580548360944e-13), SC_(0.2006142030951317354054567215576954023455e-13), SC_(0.9999999999999799385796904868264594543278) }}, 
+      {{ SC_(0.5556494121154026410991377815662417560816e-13), SC_(0.6269832208398892455680747006005262348402e-13), SC_(0.9999999999999373016779160110754431925299) }}, 
+      {{ SC_(0.9186150917630392376267423060198780149221e-13), SC_(0.1036546132124946068175722614185676168866e-12), SC_(0.9999999999998963453867875053931824277386) }}, 
+      {{ SC_(0.2022372612257850033046224780264310538769e-12), SC_(0.228200312377628882307346737694658892409e-12), SC_(0.9999999999997717996876223711176926532623) }}, 
+      {{ SC_(0.334987083645127414754938399710226804018e-12), SC_(0.3779924464312436744509548821977467036951e-12), SC_(0.9999999999996220075535687563255490451178) }}, 
+      {{ SC_(0.9037920151860889816930466622579842805862e-12), SC_(0.1019820081323253936787897658201809797801e-11), SC_(0.9999999999989801799186767460632121023418) }}, 
+      {{ SC_(0.1229327186921813641617973189568147063255e-11), SC_(0.1387147187266705574841551295246781201059e-11), SC_(0.9999999999986128528127332944251584487048) }}, 
+      {{ SC_(0.1941944651959182088774014118826016783714e-11), SC_(0.2191249888923286935404641309633986461335e-11), SC_(0.9999999999978087501110767130645953586904) }}, 
+      {{ SC_(0.6660515888823326235979038756340742111206e-11), SC_(0.7515587371056892484340940489030914565555e-11), SC_(0.999999999992484412628943107515659059511) }}, 
+      {{ SC_(0.1305013996172332824130535300355404615402e-10), SC_(0.1472550606048923346284018897482637545021e-10), SC_(0.9999999999852744939395107665371598110252) }}, 
+      {{ SC_(0.2306862860457226105381778324954211711884e-10), SC_(0.2603015993086296441348608813996585159423e-10), SC_(0.99999999997396984006913703558651391186) }}, 
+      {{ SC_(0.464061636340495908825687365606427192688e-10), SC_(0.5236374826948694233006052031278254256924e-10), SC_(0.9999999999476362517305130576699394796872) }}, 
+      {{ SC_(0.9020578728424766268290113657712936401367e-10), SC_(0.1017863311229943567634007843433802039614e-9), SC_(0.9999999998982136688770056432365992156566) }}, 
+      {{ SC_(0.2017243178054073382554634008556604385376e-9), SC_(0.2276215177081760092443407256160138975684e-9), SC_(0.999999999772378482291823990755659274384) }}, 
+      {{ SC_(0.4463814318178549456206383183598518371582e-9), SC_(0.5036875082415334987251679342248332272253e-9), SC_(0.9999999994963124917584665012748320657752) }}, 
+      {{ SC_(0.7894043196898792302818037569522857666016e-9), SC_(0.8907473887532656624292837310188997818123e-9), SC_(0.9999999991092526112467343375707162689811) }}, 
+      {{ SC_(0.1197530963281678850762546062469482421875e-8), SC_(0.1351268990918867631962395950793232393347e-8), SC_(0.9999999986487310090811323680376040492068) }}, 
+      {{ SC_(0.3128908243610339923179708421230316162109e-8), SC_(0.3530594877843318503414910172348506997629e-8), SC_(0.9999999964694051221566814965850898276515) }}, 
+      {{ SC_(0.654608101058329339139163494110107421875e-8), SC_(0.7386461438461727721842489523977686137653e-8), SC_(0.9999999926135385615382722781575104760223) }}, 
+      {{ SC_(0.1037359531608217366738244891166687011719e-7), SC_(0.1170534884254671319566985248995045101925e-7), SC_(0.9999999882946511574532868043301475100495) }}, 
+      {{ SC_(0.2613260008388351707253605127334594726563e-7), SC_(0.2948748151669259830348980474563029807727e-7), SC_(0.9999999705125184833074016965101952543697) }}, 
+      {{ SC_(0.4653804097642932902090251445770263671875e-7), SC_(0.525125559152401230823420797240431154212e-7), SC_(0.9999999474874440847598769176579202759569) }}, 
+      {{ SC_(0.8228098380413939594291150569915771484375e-7), SC_(0.9284414797271396176853241560056526014051e-7), SC_(0.9999999071558520272860382314675843994347) }}, 
+      {{ SC_(0.1440129295815495424903929233551025390625e-6), SC_(0.1625011895322124534932667008476984221693e-6), SC_(0.9999998374988104677875465067332991523016) }}, 
+      {{ SC_(0.373797803376874071545898914337158203125e-6), SC_(0.4217856540365096975937056642610100404098e-6), SC_(0.99999957821434596349030240629433573899) }}, 
+      {{ SC_(0.72830744102247990667819976806640625e-6), SC_(0.8218069436902647194923144120911901417405e-6), SC_(0.9999991781930563097352805076855879088099) }}, 
+      {{ SC_(0.10260146154905669391155242919921875e-5), SC_(0.1157733517254662264894221065154775581876e-5), SC_(0.9999988422664827453377351057789348452244) }}, 
+      {{ SC_(0.2678315240700612775981426239013671875e-5), SC_(0.3022155120513748374723247514313931180799e-5), SC_(0.9999969778448794862516252767524856860688) }}, 
+      {{ SC_(0.40205004552262835204601287841796875e-5), SC_(0.4536648954950918836538342339896039137139e-5), SC_(0.9999954633510450490811634616576601039609) }}, 
+      {{ SC_(0.10320758519810624420642852783203125e-4), SC_(0.1164572890196433412287423508862147085112e-4), SC_(0.9999883542710980356658771257649113785291) }}, 
+      {{ SC_(0.233581158681772649288177490234375e-4), SC_(0.2635681132346089850308780034445740445022e-4), SC_(0.9999736431886765391014969121996555425955) }}, 
+      {{ SC_(0.4860912667936645448207855224609375e-4), SC_(0.5484952583250342934869652426491962534587e-4), SC_(0.9999451504741674965706513034757350803747) }}, 
+      {{ SC_(0.0001085917465388774871826171875), SC_(0.0001225326640313436930517738593548252912385), SC_(0.9998774673359686563069482261406451747088) }}, 
+      {{ SC_(0.000165569479577243328094482421875), SC_(0.0001868251497546456322442598271644064384812), SC_(0.9998131748502453543677557401728355935615) }}, 
+      {{ SC_(0.0004721705918200314044952392578125), SC_(0.0005327874195307728646012144512357625925006), SC_(0.9994672125804692271353987855487642374075) }}, 
+      {{ SC_(0.00095945619978010654449462890625), SC_(0.001082630055365222472802272152269070171599), SC_(0.9989173699446347775271977278477309298284) }}, 
+      {{ SC_(0.0011034240014851093292236328125), SC_(0.001245080150435437151082626328085359462604), SC_(0.9987549198495645628489173736719146405374) }}, 
+      {{ SC_(0.00225476245395839214324951171875), SC_(0.002544222668224971136268866790058243266433), SC_(0.9974557773317750288637311332099417567336) }}, 
+      {{ SC_(0.006128217093646526336669921875), SC_(0.0069148659371010946376763193961158375309), SC_(0.9930851340628989053623236806038841624691) }}, 
+      {{ SC_(0.01089772023260593414306640625), SC_(0.01229627370763712993609092392080824128196), SC_(0.987703726292362870063909076079191758718) }}, 
+      {{ SC_(0.0229592286050319671630859375), SC_(0.02590216393432758991206927422057375200344), SC_(0.9740978360656724100879307257794262479966) }}, 
+      {{ SC_(0.043352998793125152587890625), SC_(0.04888799071126766325637634356499925915047), SC_(0.9511120092887323367436236564350007408495) }}, 
+      {{ SC_(0.06324388086795806884765625), SC_(0.07126804593959971882312270799434219648871), SC_(0.9287319540604002811768772920056578035113) }}, 
+      {{ SC_(0.2158693373203277587890625), SC_(0.2398511631288111077158786048968679107576), SC_(0.7601488368711888922841213951031320892424) }}, 
+      {{ SC_(0.334280669689178466796875), SC_(0.3636043520990431448970776140491250415292), SC_(0.6363956479009568551029223859508749584708) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/erfc_inv_big_data.ipp b/src/boost/libs/math/test/erfc_inv_big_data.ipp
new file mode 100644
index 00000000..3919b48b
--- /dev/null
+++ b/src/boost/libs/math/test/erfc_inv_big_data.ipp
@@ -0,0 +1,208 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> erfc_inv_big_data = { {
+      {{ SC_(0.5460825444184401149953083908674803067585e-4312), SC_(99.62016927389407649911084501709563799849) }}, 
+      {{ SC_(0.2645475979732877501542006305722535728925e-4291), SC_(99.38083815930157675670279543643240126733) }}, 
+      {{ SC_(0.4647218972549971591905525747707221131215e-4281), SC_(99.26209205835381203650501813598769577392) }}, 
+      {{ SC_(0.1525121257807440558802279626797226161005e-4243), SC_(98.82602533559047574603223381461761500878) }}, 
+      {{ SC_(0.1981708500756372844759510276075956268897e-4234), SC_(98.71980149740490464004477100962342642155) }}, 
+      {{ SC_(0.3841754068409692466399340503654464602243e-4180), SC_(98.08467819532462847486581213069198608289) }}, 
+      {{ SC_(0.5335004017651487579647125338582580235046e-4091), SC_(97.03275964437690000965320992419441429924) }}, 
+      {{ SC_(0.1806383895924070461510470704435189756123e-4076), SC_(96.86022098874718527180735862424264805433) }}, 
+      {{ SC_(0.1321513657594592521699131916159148731226e-4066), SC_(96.7429083707271579347385166737183074303) }}, 
+      {{ SC_(0.1054920495502343332517378247415093412624e-4043), SC_(96.46999015250599733880053488460821308812) }}, 
+      {{ SC_(0.47363892632169499253148937212672347289e-4043), SC_(96.46220643869959630846141605535921442023) }}, 
+      {{ SC_(0.4750819439081903839348296656606873483722e-4000), SC_(95.94763372873564880985964950938277645413) }}, 
+      {{ SC_(0.5934696803923580795229088781443547003391e-3998), SC_(95.92247396394370347463100485254034797278) }}, 
+      {{ SC_(0.2809661603171360146097006130839773212914e-3996), SC_(95.90236599111862577117586443056337455754) }}, 
+      {{ SC_(0.201344506190345013258215914381814651279e-3981), SC_(95.72387427307012892119049758800169512382) }}, 
+      {{ SC_(0.1349680361063247504563298949422573179728e-3978), SC_(95.68987765258188263846875190956134957764) }}, 
+      {{ SC_(0.9554154264888789862328696045397641686626e-3961), SC_(95.47488611856686267812468521780070611561) }}, 
+      {{ SC_(0.4565370419999699854685454921616341777152e-3921), SC_(94.99523139627283958425843803677334678489) }}, 
+      {{ SC_(0.9326136640408284179797117117017987832624e-3838), SC_(93.98018858040542889098559401088499617323) }}, 
+      {{ SC_(0.2085705673165100591822581196874037577838e-3788), SC_(93.37371566951938600144821032880068555931) }}, 
+      {{ SC_(0.28906230618616666278153940715368369251e-3788), SC_(93.37196812654735398207358428222836165935) }}, 
+      {{ SC_(0.540152632181355759951616925660164590124e-3750), SC_(92.89890240230691810677222482470759338646) }}, 
+      {{ SC_(0.1373243759745268803582425259844487470076e-3682), SC_(92.05981131540500971264194940023399842876) }}, 
+      {{ SC_(0.3331647658738942966983713783383120828716e-3653), SC_(91.69161143487247689253830777510103757803) }}, 
+      {{ SC_(0.134842155208242065478707324403653741427e-3641), SC_(91.54576292987357613504022634708802175022) }}, 
+      {{ SC_(0.7492191291954483620899871520373510239375e-3623), SC_(91.30973569873630381671516956816451328373) }}, 
+      {{ SC_(0.2551662007977519576358324440130450442778e-3575), SC_(90.70847518912252606205543434018735665529) }}, 
+      {{ SC_(0.6190686739111601149790106116510494551314e-3563), SC_(90.55115617451523669098548678613430984841) }}, 
+      {{ SC_(0.9276632609820886396580236856359763026966e-3447), SC_(89.06191184952516547664083098302741022803) }}, 
+      {{ SC_(0.6433072193358217453796447947689324967478e-3351), SC_(87.8143275613841604460220844122740180476) }}, 
+      {{ SC_(0.3653541017426498234750653436978737170327e-3338), SC_(87.64696333406539636312319479272468979115) }}, 
+      {{ SC_(0.2789596742720445243557533363147985407484e-3305), SC_(87.21398755358298377575097222058344254911) }}, 
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+      {{ SC_(0.4793602326185941396320885530096873382082e-41), SC_(9.607343723542133339487829511083057069273) }}, 
+      {{ SC_(0.106201511009181306109371950926034372112e-40), SC_(9.566077632118694585964030456246300276422) }}, 
+      {{ SC_(0.1026229395621872573137267432392849554594e-24), SC_(7.413111396559360630306454710337113823294) }}, 
+      {{ SC_(0.1433834013674021626308791056277965507134e-19), SC_(6.574536501026477531602186421374903506051) }}, 
+      {{ SC_(0.2287484604245551701383736767135709586086e-12), SC_(5.183672646329402197657171322814515766894) }}, 
+      {{ SC_(0.4054382118091501052221361988694253843776e-11), SC_(4.903978376537783549083010816442468785255) }}, 
+      {{ SC_(0.5517250582467272934968166422809728429772e-9), SC_(4.386634719241854622420456791837035899963) }}, 
+      {{ SC_(0.1708920553446964553659243704866375034024e-5), SC_(3.383585107532389209677350898502297644278) }}, 
+      {{ SC_(0.2892930668406028955896934416060055101499e-5), SC_(3.308042643013470022433136596357284983766) }}, 
+      {{ SC_(0.7029998339557698614154475319387477445787e-5), SC_(3.17687395056466498458108882620439294841) }}, 
+      {{ SC_(0.3973417837559780922949941034264323413971e-4), SC_(2.90551585834893682957467771364140403613) }}, 
+      {{ SC_(0.04246334897368917726269942070072005435577), SC_(1.434684541881674882915735690265484394337) }}, 
+      {{ SC_(0.159920364968560744996532371753339418774), SC_(0.9937250495458864822841753804433979428041) }}, 
+      {{ SC_(0.2425390104583346613758947085681683120129), SC_(0.826370276571483139432927467391341431105) }}, 
+      {{ SC_(0.7954739362140872788414606986417965117653), SC_(0.1832884885283639734589195991287031281603) }}, 
+      {{ SC_(0.9236374866673857278562449757419727802699), SC_(0.06777816075457032123722158048171767182127) }}
+   } };
+
diff --git a/src/boost/libs/math/test/erfc_inv_data.ipp b/src/boost/libs/math/test/erfc_inv_data.ipp
new file mode 100644
index 00000000..1d8de08a
--- /dev/null
+++ b/src/boost/libs/math/test/erfc_inv_data.ipp
@@ -0,0 +1,107 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> erfc_inv_data = { {
+      {{ SC_(0.00956696830689907073974609375), SC_(1.832184391051582711731256541599359331735) }}, 
+      {{ SC_(0.063665688037872314453125), SC_(1.311339282092737086640055105484822812599) }}, 
+      {{ SC_(0.068892158567905426025390625), SC_(1.286316565305373898738127895195338854718) }}, 
+      {{ SC_(0.071423359215259552001953125), SC_(1.274755321776344058215704428086211324587) }}, 
+      {{ SC_(0.0728825032711029052734375), SC_(1.268242522387371561738393687518023984868) }}, 
+      {{ SC_(0.09234277904033660888671875), SC_(1.190178756246535875259766567441510867604) }}, 
+      {{ SC_(0.102432854473590850830078125), SC_(1.154826903977823078146497880706118113588) }}, 
+      {{ SC_(0.1942635476589202880859375), SC_(0.9178735528443878579995511780412810469667) }}, 
+      {{ SC_(0.19508080184459686279296875), SC_(0.9161942752629032646404767631869277618212) }}, 
+      {{ SC_(0.21972350776195526123046875), SC_(0.8678064594007161661713535461829067693456) }}, 
+      {{ SC_(0.224929034709930419921875), SC_(0.8580919924152284867224297625328485999768) }}, 
+      {{ SC_(0.2503655254840850830078125), SC_(0.8127923779477598070926819995714374417663) }}, 
+      {{ SC_(0.25179326534271240234375), SC_(0.8103475955423936417307157186107256388648) }}, 
+      {{ SC_(0.2539736330509185791015625), SC_(0.8066326381314558738773191719462921998277) }}, 
+      {{ SC_(0.27095401287078857421875), SC_(0.7784313874823551106598826200232666844639) }}, 
+      {{ SC_(0.2837726771831512451171875), SC_(0.7579355956263440770864088550908621329508) }}, 
+      {{ SC_(0.298227965831756591796875), SC_(0.7355614373173595299453301005770428516518) }}, 
+      {{ SC_(0.3152261674404144287109375), SC_(0.7101588837290742217667270852502075077668) }}, 
+      {{ SC_(0.342373371124267578125), SC_(0.6713881533266128640126408255047881638389) }}, 
+      {{ SC_(0.347730338573455810546875), SC_(0.6639738263692763456669198307149427734317) }}, 
+      {{ SC_(0.3737452030181884765625), SC_(0.6289572925573171740836428308746584439674) }}, 
+      {{ SC_(0.37676393985748291015625), SC_(0.6249936843093662471116097431474787933967) }}, 
+      {{ SC_(0.42041814327239990234375), SC_(0.5697131213589784467617578394703976041604) }}, 
+      {{ SC_(0.4238486588001251220703125), SC_(0.5655171880456876504494070613171955224472) }}, 
+      {{ SC_(0.4420680999755859375), SC_(0.5435569422159360687847790186563654276103) }}, 
+      {{ SC_(0.553845942020416259765625), SC_(0.4186121208546731033057205459902879301199) }}, 
+      {{ SC_(0.55699646472930908203125), SC_(0.4152898953738801984047941692529271391195) }}, 
+      {{ SC_(0.59405887126922607421875), SC_(0.3768620801611051992528860948080812212023) }}, 
+      {{ SC_(0.603826224803924560546875), SC_(0.3669220210390825311547962776125822899061) }}, 
+      {{ SC_(0.61633408069610595703125), SC_(0.3542977152760563782151668726041057557165) }}, 
+      {{ SC_(0.63310086727142333984375), SC_(0.3375493847053488720470432821496358279516) }}, 
+      {{ SC_(0.634198963642120361328125), SC_(0.3364591774366710656954166264654945559873) }}, 
+      {{ SC_(0.722588002681732177734375), SC_(0.2510244067029671790889794981353227476998) }}, 
+      {{ SC_(0.763116896152496337890625), SC_(0.213115119330839975829499967157244997714) }}, 
+      {{ SC_(0.784454047679901123046875), SC_(0.1934073617841803428235669261097060281642) }}, 
+      {{ SC_(0.797477066516876220703125), SC_(0.1814532246720147926398927046057793150106) }}, 
+      {{ SC_(0.81746232509613037109375), SC_(0.1632073953550647568421821286058243218715) }}, 
+      {{ SC_(0.843522548675537109375), SC_(0.1395756320903277910768376053314442757507) }}, 
+      {{ SC_(0.8441753387451171875), SC_(0.1389857795955756484965030151195660030168) }}, 
+      {{ SC_(0.87748873233795166015625), SC_(0.109002961098867662134935094105847496074) }}, 
+      {{ SC_(0.8911724090576171875), SC_(0.09674694516640724629590870677194632943569) }}, 
+      {{ SC_(0.91597831249237060546875), SC_(0.07460044047654119877070700345343119035515) }}, 
+      {{ SC_(0.94951736927032470703125), SC_(0.04476895818328636312384562686715995170129) }}, 
+      {{ SC_(0.970751285552978515625), SC_(0.0259268064334840921104659134138093242797) }}, 
+      {{ SC_(0.97513782978057861328125), SC_(0.02203709146986755832638577823832075055744) }}, 
+      {{ SC_(0.97952878475189208984375), SC_(0.01814413302702029459097557481591610553903) }}, 
+      {{ SC_(0.981178104877471923828125), SC_(0.01668201759439857888105181293763417899072) }}, 
+      {{ SC_(1.0073254108428955078125), SC_(-0.006492067534753215749601670217642082465642) }}, 
+      {{ SC_(1.09376299381256103515625), SC_(-0.08328747254794857150987333986733043734817) }}, 
+      {{ SC_(1.0944411754608154296875), SC_(-0.08389270963798942778622198997355058545872) }}, 
+      {{ SC_(1.264718532562255859375), SC_(-0.2390787735821979528028028789569770109829) }}, 
+      {{ SC_(1.27952671051025390625), SC_(-0.2530214201700340392837551955289041822603) }}, 
+      {{ SC_(1.29262602329254150390625), SC_(-0.2654374523135675523971788948011709467352) }}, 
+      {{ SC_(1.3109557628631591796875), SC_(-0.282950508503826367238408926581528085458) }}, 
+      {{ SC_(1.31148135662078857421875), SC_(-0.2834552014554130441860525970673030809536) }}, 
+      {{ SC_(1.32721102237701416015625), SC_(-0.2986277427848421570858990348074985028421) }}, 
+      {{ SC_(1.3574702739715576171875), SC_(-0.3282140305634627092431945088114761850208) }}, 
+      {{ SC_(1.362719058990478515625), SC_(-0.3334035993712283467959295804559099468454) }}, 
+      {{ SC_(1.3896572589874267578125), SC_(-0.3603304982893212173104266596348905175268) }}, 
+      {{ SC_(1.4120922088623046875), SC_(-0.3831602323665075533579267768785894144888) }}, 
+      {{ SC_(1.41872966289520263671875), SC_(-0.3899906753567599452444107492361433402154) }}, 
+      {{ SC_(1.45167791843414306640625), SC_(-0.4244594733907945411184647153213164209335) }}, 
+      {{ SC_(1.48129451274871826171875), SC_(-0.4563258063707025027210352963461819167707) }}, 
+      {{ SC_(1.4862649440765380859375), SC_(-0.4617640058971775089811390737537561779898) }}, 
+      {{ SC_(1.50937330722808837890625), SC_(-0.4874174763856674076219106695373814892182) }}, 
+      {{ SC_(1.5154802799224853515625), SC_(-0.4943041993872143888987628020569772222018) }}, 
+      {{ SC_(1.52750003337860107421875), SC_(-0.5079978091910991117615000459548117088362) }}, 
+      {{ SC_(1.53103363513946533203125), SC_(-0.5120597685873370942783226077302881881069) }}, 
+      {{ SC_(1.58441460132598876953125), SC_(-0.5756584292527058478710392476034273328569) }}, 
+      {{ SC_(1.5879499912261962890625), SC_(-0.5800336103175463592377907341030447077804) }}, 
+      {{ SC_(1.59039986133575439453125), SC_(-0.5830784871670823806198622501806646778319) }}, 
+      {{ SC_(1.59455978870391845703125), SC_(-0.588273673825686998734497652983815773459) }}, 
+      {{ SC_(1.59585726261138916015625), SC_(-0.5899005483108011364541949539839185473259) }}, 
+      {{ SC_(1.5962116718292236328125), SC_(-0.5903454775096607218832535637355431851718) }}, 
+      {{ SC_(1.6005609035491943359375), SC_(-0.5958247243549040349587326482492767206448) }}, 
+      {{ SC_(1.6150619983673095703125), SC_(-0.6143583249050861028039832921829036722514) }}, 
+      {{ SC_(1.62944734096527099609375), SC_(-0.6331707263097125575937994856370309207836) }}, 
+      {{ SC_(1.64380657672882080078125), SC_(-0.6524069265890823819975498133014027247554) }}, 
+      {{ SC_(1.6469156742095947265625), SC_(-0.656635855345815020063728463464436343698) }}, 
+      {{ SC_(1.67001712322235107421875), SC_(-0.6888269167957872563013714303376548038671) }}, 
+      {{ SC_(1.6982586383819580078125), SC_(-0.7302336318927408409119676651737758401138) }}, 
+      {{ SC_(1.74485766887664794921875), SC_(-0.8046505193013635090578266413458426260098) }}, 
+      {{ SC_(1.75686132907867431640625), SC_(-0.8253191678260588578995203396384711816647) }}, 
+      {{ SC_(1.81158387660980224609375), SC_(-0.9300427626888758122211127950646282789481) }}, 
+      {{ SC_(1.826751708984375), SC_(-0.9629665092443368464606966822833571908852) }}, 
+      {{ SC_(1.83147108554840087890625), SC_(-0.9736479209913771931387473923084901789046) }}, 
+      {{ SC_(1.84174954891204833984375), SC_(-0.997713670556719074960678197806799852186) }}, 
+      {{ SC_(1.8679864406585693359375), SC_(-1.065050516333636716777334376076374184102) }}, 
+      {{ SC_(1.90044414997100830078125), SC_(-1.164612422633086435501625591693259387477) }}, 
+      {{ SC_(1.91433393955230712890625), SC_(-1.215315881176612875682446995412738776976) }}, 
+      {{ SC_(1.91501367092132568359375), SC_(-1.217962731073139868794942852653058932976) }}, 
+      {{ SC_(1.918984889984130859375), SC_(-1.233778505900771488542027767896521427575) }}, 
+      {{ SC_(1.92977702617645263671875), SC_(-1.28019542575660930623179572273596558907) }}, 
+      {{ SC_(1.93538987636566162109375), SC_(-1.306695301483797253764522033930388453334) }}, 
+      {{ SC_(1.93773555755615234375), SC_(-1.318335478463913327121670503572736587296) }}, 
+      {{ SC_(1.94118559360504150390625), SC_(-1.33613349872692113073358883961598631154) }}, 
+      {{ SC_(1.96221935749053955078125), SC_(-1.468821071545234761861756248744372345584) }}, 
+      {{ SC_(1.98576259613037109375), SC_(-1.733272259459038694476413373595347034928) }}, 
+      {{ SC_(1.9881370067596435546875), SC_(-1.77921769652839903464038407684397479173) }}, 
+      {{ SC_(1.99292266368865966796875), SC_(-1.904368122482929779094714951471938518496) }}
+   } };
diff --git a/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp b/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp
new file mode 100644
index 00000000..f4a8883c
--- /dev/null
+++ b/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp
@@ -0,0 +1,596 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE exp_sinh_quadrature_test
+
+#include <complex>
+#include <boost/multiprecision/cpp_complex.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/type_traits/is_class.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+using std::exp;
+using std::cos;
+using std::tan;
+using std::log;
+using std::sqrt;
+using std::abs;
+using std::sinh;
+using std::cosh;
+using std::pow;
+using std::atan;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::math::quadrature::exp_sinh;
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6) && !defined(TEST7) && !defined(TEST8)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#  define TEST5
+#  define TEST6
+#  define TEST7
+#  define TEST8
+#endif
+
+#ifdef BOOST_MSVC
+#pragma warning (disable:4127)
+#endif
+
+//
+// Coefficient generation code:
+//
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+}
+
+template <class Real, class TargetType>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t)->Real { return exp(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t)->Real { return cosh(t)*half_pi<Real>()*exp(half_pi<Real>()*sinh(t)); };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   Real tmp = (Real(boost::math::tools::log_min_value<TargetType>()) + log(Real(boost::math::tools::epsilon<TargetType>())))*0.5f;
+   Real t_min = asinh(two_div_pi<Real>()*tmp);
+   // truncate t_min to an exact binary value:
+   t_min = floor(t_min * 128) / 128;
+
+   std::cout << "m_t_min = " << t_min << ";\n";
+
+   // t_max is chosen to make g'(t_max) ~ sqrt(max) (g' grows faster than g).
+   // This will allow some flexibility on the users part; they can at least square a number function without overflow.
+   // But there is no unique choice; the further out we can evaluate the function, the better we can do on slowly decaying integrands.
+   const Real t_max = log(2 * two_div_pi<Real>()*log(2 * two_div_pi<Real>()*sqrt(Real(boost::math::tools::max_value<TargetType>()))));
+
+   Real h = 1;
+   for (Real t = t_min; t < t_max; t += h)
+   {
+      temp.push_back(g(t));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (Real t = t_min; t < t_max; t += h)
+   {
+      temp.push_back(w(t * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = t_min + h; t < t_max; t += 2 * h)
+         temp.push_back(g(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = t_min + h; t < t_max; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+
+template <class Real>
+const exp_sinh<Real>& get_integrator()
+{
+   static const exp_sinh<Real> integrator(14);
+   return integrator;
+}
+
+template <class Real>
+Real get_convergence_tolerance()
+{
+   return boost::math::tools::root_epsilon<Real>();
+}
+
+template<class Real>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 12
+    const auto f2 = [](const Real& t)->Real { return exp(-t)/sqrt(t); };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>();
+    Real tol_mult = 1;
+    // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+    if (std::numeric_limits<Real>::digits10 > std::numeric_limits<long double>::digits10)
+       tol_mult = 12;
+    else if (std::numeric_limits<Real>::digits10 > std::numeric_limits<double>::digits10)
+       tol_mult = 5;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * tol_mult);
+    // The integrand is strictly positive, so it coincides with the value of the integral:
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * tol_mult);
+
+    auto f3 = [](Real t)->Real { Real z = exp(-t); if (z == 0) { return z; } return z*cos(t); };
+    Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    Q = integrator.integrate(f3, 10, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("-6.6976341310426674140007086979326069121526743314567805278252392932e-6");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    // Integrating through zero risks precision loss:
+    Q = integrator.integrate(f3, -10, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("-15232.3213626280525704332288302799653087046646639974940243044623285817777006");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, std::numeric_limits<Real>::digits10 > 30 ? 1000 * tol : tol);
+
+    auto f4 = [](Real t)->Real { return 1/(1+t*t); };
+    Q = integrator.integrate(f4, 1, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f4, 20, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0499583957219427614100062870348448814912770804235071744108534548299835954767");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f4, 500, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0019999973333397333150476759363217553199063513829126652556286269630");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for 1/(1+t^2) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), 0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), -20, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0499583957219427614100062870348448814912770804235071744108534548299835954767");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), -500, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0019999973333397333150476759363217553199063513829126652556286269630");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+
+// Some examples of tough integrals from NR, section 4.5.4:
+template<class Real>
+void test_nr_examples()
+{
+    using std::sin;
+    using std::cos;
+    using std::pow;
+    using std::exp;
+    using std::sqrt;
+    std::cout << "Testing type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    auto integrator = get_integrator<Real>();
+
+    auto f0 = [] (Real)->Real { return (Real) 0; };
+    Q = integrator.integrate(f0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 0;
+    BOOST_CHECK_CLOSE_FRACTION(Q, 0.0f, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 0.0f, tol);
+
+    auto f = [](const Real& x)->Real { return 1/(1+x*x); };
+    Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f1 = [](Real x)->Real {
+        Real z1 = exp(-x);
+        if (z1 == 0)
+        {
+            return (Real) 0;
+        }
+        Real z2 = pow(x, -3*half<Real>())*z1;
+        if (z2 == 0)
+        {
+            return (Real) 0;
+        }
+        return sin(x*half<Real>())*z2;
+    };
+
+    Q = integrator.integrate(f1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = sqrt(pi<Real>()*(sqrt((Real) 5) - 2));
+
+    // The integrand is oscillatory; the accuracy is low.
+    Real tol_mul = 1;
+    if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 500000;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+
+    auto f2 = [](Real x)->Real { return x > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(pow(x, -(Real) 2/(Real) 7)*exp(-x*x)); };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>()*boost::math::tgamma((Real) 5/ (Real) 14);
+    tol_mul = 1;
+    if (std::numeric_limits<Real>::is_specialized == false)
+       tol_mul = 6;
+    else if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 100;
+    else
+       tol_mul = 3;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol_mul * tol);
+
+    auto f3 = [](Real x)->Real { return (Real) 1/ (sqrt(x)*(1+x)); };
+    Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10*boost::math::tools::epsilon<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, 10*boost::math::tools::epsilon<Real>());
+
+    auto f4 = [](const Real& t)->Real { return  t > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-t*t*half<Real>())); };
+    Q = integrator.integrate(f4, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_two_pi<Real>()/2;
+    tol_mul = 1;
+    if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 5000;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol_mul * tol);
+
+    auto f5 = [](const Real& t)->Real { return 1/cosh(t);};
+    Q = integrator.integrate(f5, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 12);   // Fails at float precision without higher error rate
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * 12);
+}
+
+// Definite integrals found in the CRC Handbook of Mathematical Formulas
+template<class Real>
+void test_crc()
+{
+    using std::sin;
+    using std::pow;
+    using std::exp;
+    using std::sqrt;
+    using std::log;
+    using std::cos;
+    std::cout << "Testing integral from CRC handbook on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    auto integrator = get_integrator<Real>();
+
+    auto f0 = [](const Real& x)->Real { return x > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(log(x)*exp(-x)); };
+    Q = integrator.integrate(f0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -boost::math::constants::euler<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Test the integral representation of the gamma function:
+    auto f1 = [](Real t)->Real { Real x = exp(-t);
+        if(x == 0)
+        {
+            return (Real) 0;
+        }
+        return pow(t, (Real) 12 - 1)*x;
+    };
+
+    Q = integrator.integrate(f1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::math::tgamma(12.0f);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Integral representation of the modified bessel function:
+    // K_5(12)
+    auto f2 = [](Real t)->Real {
+        Real x = 12*cosh(t);
+        if (x > boost::math::tools::log_max_value<Real>())
+        {
+            return (Real) 0;
+        }
+        return exp(-x)*cosh(5*t);
+    };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::math::cyl_bessel_k<int, Real>(5, 12);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Laplace transform of cos(at)
+    Real a = 20;
+    Real s = 1;
+    auto f3 = [&](Real t)->Real {
+        Real x = s * t;
+        if (x > boost::math::tools::log_max_value<Real>())
+        {
+            return (Real) 0;
+        }
+        return cos(a * t) * exp(-x);
+    };
+
+    // Since the integrand is oscillatory, we increase the tolerance:
+    Real tol_mult = 10;
+    // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+    if (!boost::is_class<Real>::value)
+    {
+       // For high oscillation frequency, the quadrature sum is ill-conditioned.
+       Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = s/(a*a+s*s);
+       if (std::numeric_limits<Real>::digits10 > std::numeric_limits<double>::digits10)
+          tol_mult = 5000; // we should really investigate this more??
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mult*tol);
+    }
+
+    //
+    // This one doesn't pass for real_concept..
+    //
+    if (std::numeric_limits<Real>::is_specialized)
+    {
+       // Laplace transform of J_0(t):
+       auto f4 = [&](Real t)->Real {
+          Real x = s * t;
+          if (x > boost::math::tools::log_max_value<Real>())
+          {
+             return (Real)0;
+          }
+          return boost::math::cyl_bessel_j(0, t) * exp(-x);
+       };
+
+       Q = integrator.integrate(f4, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sqrt(1 + s*s);
+       tol_mult = 3;
+       // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+       if (std::numeric_limits<Real>::digits10 > std::numeric_limits<long double>::digits10)
+          tol_mult = 750;
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mult * tol);
+    }
+    auto f6 = [](const Real& t)->Real { return t > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-t*t)*log(t));};
+    Q = integrator.integrate(f6, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -boost::math::constants::root_pi<Real>()*(boost::math::constants::euler<Real>() + 2*ln_two<Real>())/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC Section 5.5, integral 591
+    // The parameter p allows us to control the strength of the singularity.
+    // Rapid convergence is not guaranteed for this function, as the branch cut makes it non-analytic on a disk.
+    // This converges only when our test type has an extended exponent range as all the area of the integral
+    // occurs so close to 0 (or 1) that we need abscissa values exceptionally small to find it.
+    // "There's a lot of room at the bottom".
+    // This version is transformed via argument substitution (exp(-x) for x) so that the integral is spread
+    // over (0, INF).
+    tol *= boost::math::tools::digits<Real>() > 100 ? 100000 : 75;
+    for (Real pn = 99; pn > 0; pn -= 10) {
+       Real p = pn / 100;
+       auto f = [&](Real x)->Real
+       {
+          return x > 1000 * boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-x * (1 - p) + p * log(-boost::math::expm1(-x))));
+       };
+       Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / boost::math::sinc_pi(p*pi<Real>());
+       /*
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << p << std::endl;
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << Q << std::endl;
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << Q_expected << std::endl;
+       std::cout << fabs((Q - Q_expected) / Q_expected) << std::endl;
+       */
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+    // and for p < 1:
+    for (Real p = -0.99; p < 0; p += 0.1) {
+       auto f = [&](Real x)->Real
+       {
+          return x > 1000 * boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-p * log(-boost::math::expm1(-x)) - (1 + p) * x));
+       };
+       Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / boost::math::sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+}
+
+template<class Complex>
+void test_complex_modified_bessel()
+{
+    std::cout << "Testing complex modified Bessel function on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 100 * boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Integral Representation of Modified Complex Bessel function:
+    // https://en.wikipedia.org/wiki/Bessel_function#Modified_Bessel_functions
+    Complex z{2, 3};
+    const auto f = [&z](const Real& t)->Complex
+    {
+        using std::cosh;
+        using std::exp;
+        Real cosht = cosh(t);
+        if (cosht > boost::math::tools::log_max_value<Real>())
+        {
+            return Complex{0, 0};
+        }
+        Complex arg = -z*cosht;
+        Complex res = exp(arg);
+        return res;
+    };
+
+    Complex K0 = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+
+    // Mathematica code: N[BesselK[0, 2 + 3 I], 140]
+    Real K0_x_expected = boost::lexical_cast<Real>("-0.08296852656762551490517953520589186885781541203818846830385526187936132191822538822296497597191327722262903004145527496422090506197776994");
+    Real K0_y_expected = boost::lexical_cast<Real>("0.027949603635183423629723306332336002340909030265538548521150904238352846705644065168365102147901993976999717171115546662967229050834575193041");
+    BOOST_CHECK_CLOSE_FRACTION(K0.real(), K0_x_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(K0.imag(), K0_y_expected, tol);
+}
+
+
+BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test)
+{
+   //
+   // Uncomment to generate the coefficients:
+   //
+
+   /*
+   std::cout << std::scientific << std::setprecision(8);
+   print_levels(generate_constants<cpp_bin_float_100, float>(8), "f");
+   std::cout << std::setprecision(18);
+   print_levels(generate_constants<cpp_bin_float_100, double>(8), "");
+   std::cout << std::setprecision(35);
+   print_levels(generate_constants<cpp_bin_float_100, cpp_bin_float_quad>(8), "L");
+   */
+
+#ifdef TEST1
+    test_left_limit_infinite<float>();
+    test_right_limit_infinite<float>();
+    test_nr_examples<float>();
+    test_crc<float>();
+#endif
+#ifdef TEST2
+    test_left_limit_infinite<double>();
+    test_right_limit_infinite<double>();
+    test_nr_examples<double>();
+    test_crc<double>();
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST3
+    test_left_limit_infinite<long double>();
+    test_right_limit_infinite<long double>();
+    test_nr_examples<long double>();
+    test_crc<long double>();
+#endif
+#endif
+#ifdef TEST4
+    test_left_limit_infinite<cpp_bin_float_quad>();
+    test_right_limit_infinite<cpp_bin_float_quad>();
+    test_nr_examples<cpp_bin_float_quad>();
+    test_crc<cpp_bin_float_quad>();
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST5
+    test_left_limit_infinite<boost::math::concepts::real_concept>();
+    test_right_limit_infinite<boost::math::concepts::real_concept>();
+    test_nr_examples<boost::math::concepts::real_concept>();
+    test_crc<boost::math::concepts::real_concept>();
+#endif
+#endif
+#ifdef TEST6
+    test_left_limit_infinite<boost::multiprecision::cpp_bin_float_50>();
+    test_right_limit_infinite<boost::multiprecision::cpp_bin_float_50>();
+    test_nr_examples<boost::multiprecision::cpp_bin_float_50>();
+    test_crc<boost::multiprecision::cpp_bin_float_50>();
+#endif
+#ifdef TEST7
+    test_left_limit_infinite<boost::multiprecision::cpp_dec_float_50>();
+    test_right_limit_infinite<boost::multiprecision::cpp_dec_float_50>();
+    test_nr_examples<boost::multiprecision::cpp_dec_float_50>();
+    //
+    // This one causes stack overflows on the CI machine, but not locally,
+    // assume it's due to resticted resources on the server, and <shrug> for now...
+    //
+#if ! BOOST_WORKAROUND(BOOST_MSVC, == 1900)
+    test_crc<boost::multiprecision::cpp_dec_float_50>();
+#endif
+#endif
+#ifdef TEST8
+    test_complex_modified_bessel<std::complex<float>>();
+    test_complex_modified_bessel<std::complex<double>>();
+    test_complex_modified_bessel<std::complex<long double>>();
+    #ifdef BOOST_HAS_FLOAT128
+        test_complex_modified_bessel<boost::multiprecision::complex128>();
+    #endif
+    test_complex_modified_bessel<boost::multiprecision::cpp_complex_quad>();
+#endif
+}
diff --git a/src/boost/libs/math/test/expint_1_data.ipp b/src/boost/libs/math/test/expint_1_data.ipp
new file mode 100644
index 00000000..9ee06138
--- /dev/null
+++ b/src/boost/libs/math/test/expint_1_data.ipp
@@ -0,0 +1,87 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 79> expint_1_data = {{
+      {{ SC_(1.0), SC_(0.1690093176520690576580818742513656616211e-8), SC_(19.62126651228390287899433646349668926594) }}, 
+      {{ SC_(1.0), SC_(0.2114990849122477811761200428009033203125e-8), SC_(19.39699968832702671432639506875262488287) }}, 
+      {{ SC_(1.0), SC_(0.7099628440698779741069301962852478027344e-8), SC_(18.18600772876256587669156181753338435097) }}, 
+      {{ SC_(1.0), SC_(0.136718796284185373224318027496337890625e-7), SC_(17.53070904418311673532926624670363745081) }}, 
+      {{ SC_(1.0), SC_(0.1679341288252089725574478507041931152344e-7), SC_(17.32506346964272541627765227695487661752) }}, 
+      {{ SC_(1.0), SC_(0.586768322818898013792932033538818359375e-7), SC_(16.07400526183027268777222922688894197166) }}, 
+      {{ SC_(1.0), SC_(0.1140460881288163363933563232421875e-6), SC_(15.40944763756462608330646107757571975159) }}, 
+      {{ SC_(1.0), SC_(0.1455586016163579188287258148193359375e-6), SC_(15.16547155182818279856457574476936266928) }}, 
+      {{ SC_(1.0), SC_(0.38918477685001562349498271942138671875e-6), SC_(14.18199632563439348037946938445484633991) }}, 
+      {{ SC_(1.0), SC_(0.623782625552848912775516510009765625e-6), SC_(13.71024884463401352596363384090540526092) }}, 
+      {{ SC_(1.0), SC_(0.104669607026153244078159332275390625e-5), SC_(13.19265733629451552935983109160182922456) }}, 
+      {{ SC_(1.0), SC_(0.2951089072666945867240428924560546875e-5), SC_(12.15612356475179839693915983580837953116) }}, 
+      {{ SC_(1.0), SC_(0.4877083483734168112277984619140625e-5), SC_(11.65375237571303028293100602849280330023) }}, 
+      {{ SC_(1.0), SC_(0.9066634447663091123104095458984375e-5), SC_(11.033702828615680805096853068034765697) }}, 
+      {{ SC_(1.0), SC_(0.2360353755648247897624969482421875e-4), SC_(10.07692189920168231695897773396921896378) }}, 
+      {{ SC_(1.0), SC_(0.60817910707555711269378662109375e-4), SC_(9.130471380452133719689002203686010732863) }}, 
+      {{ SC_(1.0), SC_(0.000119476739200763404369354248046875), SC_(8.455292664848407732192394706135617033129) }}, 
+      {{ SC_(1.0), SC_(0.0002437086659483611583709716796875), SC_(7.742565066979092841621580079924528124121) }}, 
+      {{ SC_(1.0), SC_(0.00047970912419259548187255859375), SC_(7.065594615713263713209655779382416164774) }}, 
+      {{ SC_(1.0), SC_(0.000960788573138415813446044921875), SC_(6.371501073281348028486161198392483333344) }}, 
+      {{ SC_(1.0), SC_(0.00113048148341476917266845703125), SC_(6.209026142656637951294057898954292515858) }}, 
+      {{ SC_(1.0), SC_(0.0033707791008055210113525390625), SC_(5.118763649942589236114477763556608384932) }}, 
+      {{ SC_(1.0), SC_(0.007697627879679203033447265625), SC_(4.297310240071577860879490194258146908042) }}, 
+      {{ SC_(1.0), SC_(0.0154774188995361328125), SC_(3.606575234235758813120382950507615467416) }}, 
+      {{ SC_(1.0), SC_(0.0305807329714298248291015625), SC_(2.940517962291826559900925068133667615931) }}, 
+      {{ SC_(1.0), SC_(0.0346831791102886199951171875), SC_(2.818669547758849173655366691300656029988) }}, 
+      {{ SC_(1.0), SC_(0.09283597767353057861328125), SC_(1.890430395046114091623024011625489238192) }}, 
+      {{ SC_(1.0), SC_(0.22476322948932647705078125), SC_(1.128230840748073484651782346841079611668) }}, 
+      {{ SC_(1.0), SC_(0.23917420208454132080078125), SC_(1.078947851117239985434642728998206006734) }}, 
+      {{ SC_(1.0), SC_(0.4500701129436492919921875), SC_(0.6252319809071619975475212606569679083844) }}, 
+      {{ SC_(1.0), SC_(1.785583972930908203125), SC_(0.06605196207880094390425879479033907552898) }}, 
+      {{ SC_(1.0), SC_(4.8770198822021484375), SC_(0.001326894275438860249857941044254174502639) }}, 
+      {{ SC_(1.0), SC_(5.4930877685546875), SC_(0.0006460832160891306352056104536312996827518) }}, 
+      {{ SC_(1.0), SC_(5.623225688934326171875), SC_(0.0005557114466261269081523366304841856778567) }}, 
+      {{ SC_(1.0), SC_(6.349340915679931640625), SC_(0.0002414929458653428650902712691508606087705) }}, 
+      {{ SC_(1.0), SC_(6.77385044097900390625), SC_(0.0001491057337258556360697724884053639712183) }}, 
+      {{ SC_(1.0), SC_(7.094316959381103515625), SC_(0.000103833853056272701038880940251981448874) }}, 
+      {{ SC_(1.0), SC_(7.88065433502197265625), SC_(0.4302184733486055021456160704267900644151e-4) }}, 
+      {{ SC_(1.0), SC_(9.41909885406494140625), SC_(0.785158179791932713400818863165202252408e-5) }}, 
+      {{ SC_(1.0), SC_(10.5962162017822265625), SC_(0.2170821091221718858998745985121834633123e-5) }}, 
+      {{ SC_(1.0), SC_(11.0517024993896484375), SC_(0.1323971054451696237675804650020934283271e-5) }}, 
+      {{ SC_(1.0), SC_(13.9249114990234375), SC_(0.6030052082140414872763484176234936031379e-7) }}, 
+      {{ SC_(1.0), SC_(14.85147190093994140625), SC_(0.2246847323452812310807076843921206699284e-7) }}, 
+      {{ SC_(1.0), SC_(15.408351898193359375), SC_(0.1243451611444526471238603318210383094864e-7) }}, 
+      {{ SC_(1.0), SC_(18.0646991729736328125), SC_(0.7506937540952249657080032497242314338058e-9) }}, 
+      {{ SC_(1.0), SC_(19.9369258880615234375), SC_(0.1050756169313570044042540524516527996741e-9) }}, 
+      {{ SC_(1.0), SC_(21.0880641937255859375), SC_(0.3149450286739813566149195966918766794019e-10) }}, 
+      {{ SC_(1.0), SC_(24.2687816619873046875), SC_(0.1143540865960474355116790661840197166523e-11) }}, 
+      {{ SC_(1.0), SC_(25.183135986328125), SC_(0.4422553437971115949495472179014784876379e-12) }}, 
+      {{ SC_(1.0), SC_(27.344074249267578125), SC_(0.4706136215074688573466876839711291930065e-13) }}, 
+      {{ SC_(1.0), SC_(27.3610286712646484375), SC_(0.4624246647932169908912545804468933517039e-13) }}, 
+      {{ SC_(1.0), SC_(31.6179637908935546875), SC_(0.5694058988300047405430136315685981910904e-15) }}, 
+      {{ SC_(1.0), SC_(31.98816680908203125), SC_(0.3888079168940721087324944469578712933197e-15) }}, 
+      {{ SC_(1.0), SC_(32.7870330810546875), SC_(0.1707586829662679381480684070037630121613e-15) }}, 
+      {{ SC_(1.0), SC_(33.936756134033203125), SC_(0.5230089477890500292647833806674719422967e-16) }}, 
+      {{ SC_(1.0), SC_(34.0679779052734375), SC_(0.4569720316267919392435436312475469039788e-16) }}, 
+      {{ SC_(1.0), SC_(36.2919464111328125), SC_(0.4648256808579637348536682966321094152884e-17) }}, 
+      {{ SC_(1.0), SC_(39.6103668212890625), SC_(0.1545435668053719402464984966443581618056e-18) }}, 
+      {{ SC_(1.0), SC_(39.89643096923828125), SC_(0.1152823764266388444276211386495818338284e-18) }}, 
+      {{ SC_(1.0), SC_(39.905292510986328125), SC_(0.1142405282651606532309094911197076666306e-18) }}, 
+      {{ SC_(1.0), SC_(40.0140228271484375), SC_(0.1021986300809498211588191270716148887523e-18) }}, 
+      {{ SC_(1.0), SC_(40.73618316650390625), SC_(0.487782450682026156951156991212514994025e-19) }}, 
+      {{ SC_(1.0), SC_(41.75042724609375), SC_(0.1727057820230415908617717666461962953748e-19) }}, 
+      {{ SC_(1.0), SC_(42.4564666748046875), SC_(0.8386035754034782201062683833804929446885e-20) }}, 
+      {{ SC_(1.0), SC_(43.92153167724609375), SC_(0.1874446514992257654186347034583264392481e-20) }}, 
+      {{ SC_(1.0), SC_(45.2895965576171875), SC_(0.4631155735799306610393016753551769399309e-21) }}, 
+      {{ SC_(1.0), SC_(45.668792724609375), SC_(0.3143839170407425907322861671102497142403e-21) }}, 
+      {{ SC_(1.0), SC_(45.786777496337890625), SC_(0.278690825003829419502247825145190508394e-21) }}, 
+      {{ SC_(1.0), SC_(46.6996612548828125), SC_(0.1097142494759480902665224812198017036116e-21) }}, 
+      {{ SC_(1.0), SC_(47.858348846435546875), SC_(0.3362168462409445527866973776887649345695e-22) }}, 
+      {{ SC_(1.0), SC_(47.87534332275390625), SC_(0.3304362677594583967844855615677058007508e-22) }}, 
+      {{ SC_(1.0), SC_(47.974620819091796875), SC_(0.2986001918596063601815305407205441355782e-22) }}, 
+      {{ SC_(1.0), SC_(48.244426727294921875), SC_(0.226739399060424385006440097684052080086e-22) }}, 
+      {{ SC_(1.0), SC_(48.384746551513671875), SC_(0.1964943928572394204174413988519401201072e-22) }}, 
+      {{ SC_(1.0), SC_(48.443389892578125), SC_(0.1850827201970609263420459500557652587842e-22) }}, 
+      {{ SC_(1.0), SC_(48.52964019775390625), SC_(0.1694924366999538118474174187456764816795e-22) }}, 
+      {{ SC_(1.0), SC_(49.055484771728515625), SC_(0.9912630736365412803849736897421968989741e-23) }}, 
+      {{ SC_(1.0), SC_(49.64406585693359375), SC_(0.5438645188377533724985296541041944657958e-23) }}, 
+      {{ SC_(1.0), SC_(49.82306671142578125), SC_(0.453125198123893560872142720624255521908e-23) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expint_data.ipp b/src/boost/libs/math/test/expint_data.ipp
new file mode 100644
index 00000000..a033393d
--- /dev/null
+++ b/src/boost/libs/math/test/expint_data.ipp
@@ -0,0 +1,608 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 600> expint_data = {{
+      {{ SC_(0.0), SC_(4.8770198822021484375), SC_(0.001562365538135970995717852896857631808327) }}, 
+      {{ SC_(0.0), SC_(5.4930877685546875), SC_(0.0007491447757702025944722131745633334937684) }}, 
+      {{ SC_(0.0), SC_(6.349340915679931640625), SC_(0.0002752882216582873387067996572122917865872) }}, 
+      {{ SC_(0.0), SC_(6.77385044097900390625), SC_(0.0001687790463104021974718191672246829394287) }}, 
+      {{ SC_(0.0), SC_(7.88065433502197265625), SC_(0.47963738863754152769104622456952262715e-4) }}, 
+      {{ SC_(0.0), SC_(9.41909885406494140625), SC_(0.8616442383363190691210027445652026531832e-5) }}, 
+      {{ SC_(0.0), SC_(11.0517024993896484375), SC_(0.1435084267000391515109242970335955294949e-5) }}, 
+      {{ SC_(0.0), SC_(13.9249114990234375), SC_(0.6437175227896219693144155889099646006989e-7) }}, 
+      {{ SC_(0.0), SC_(14.85147190093994140625), SC_(0.2389561472425127015102225830183211311355e-7) }}, 
+      {{ SC_(0.0), SC_(15.408351898193359375), SC_(0.1319719418545972741015149904348811051425e-7) }}, 
+      {{ SC_(0.0), SC_(24.2687816619873046875), SC_(0.11889239267601390541015398133557006754e-11) }}, 
+      {{ SC_(0.0), SC_(27.344074249267578125), SC_(0.4872549010302229290835986011540914041326e-13) }}, 
+      {{ SC_(0.0), SC_(27.3610286712646484375), SC_(0.4787665585558497600241038034910791656316e-13) }}, 
+      {{ SC_(0.0), SC_(31.6179637908935546875), SC_(0.5868929583967368539612302367590281628486e-15) }}, 
+      {{ SC_(0.0), SC_(36.2919464111328125), SC_(0.4773068588658948995725058196271779063743e-17) }}, 
+      {{ SC_(0.0), SC_(39.905292510986328125), SC_(0.1170364567486045719639244754262245531629e-18) }}, 
+      {{ SC_(0.0), SC_(40.0140228271484375), SC_(0.1046931993792806191360983778308485111274e-18) }}, 
+      {{ SC_(0.0), SC_(40.73618316650390625), SC_(0.4994822992740385189281065329903525138214e-19) }}, 
+      {{ SC_(0.0), SC_(41.75042724609375), SC_(0.1767497897232480324288472314518314166362e-19) }}, 
+      {{ SC_(0.0), SC_(45.2895965576171875), SC_(0.4731291164415236007530801800668192107248e-21) }}, 
+      {{ SC_(0.0), SC_(45.668792724609375), SC_(0.32112623945754987507866272619248827473e-21) }}, 
+      {{ SC_(0.0), SC_(47.858348846435546875), SC_(0.3431037557038677071409196944306329415725e-22) }}, 
+      {{ SC_(0.0), SC_(47.87534332275390625), SC_(0.3372024134373767813623270201540442231994e-22) }}, 
+      {{ SC_(0.0), SC_(48.244426727294921875), SC_(0.2313473555301647492330120635703080053112e-22) }}, 
+      {{ SC_(0.0), SC_(48.384746551513671875), SC_(0.2004763256428269587290401533485854661334e-22) }}, 
+      {{ SC_(0.0), SC_(48.443389892578125), SC_(0.1888289416818380641901072855471819672105e-22) }}, 
+      {{ SC_(0.0), SC_(48.52964019775390625), SC_(0.1729171153596841734848571786533234373322e-22) }}, 
+      {{ SC_(0.0), SC_(49.055484771728515625), SC_(0.1011081315291844758145446920376094243904e-22) }}, 
+      {{ SC_(0.0), SC_(49.64406585693359375), SC_(0.554611404844874116390457034845700516171e-23) }}, 
+      {{ SC_(0.0), SC_(49.82306671142578125), SC_(0.4620474736636545203207618442180434004238e-23) }}, 
+      {{ SC_(1.0), SC_(4.8770198822021484375), SC_(0.001326894275438860249857941044254174502639) }}, 
+      {{ SC_(1.0), SC_(5.4930877685546875), SC_(0.0006460832160891306352056104536312996827518) }}, 
+      {{ SC_(1.0), SC_(6.349340915679931640625), SC_(0.0002414929458653428650902712691508606087705) }}, 
+      {{ SC_(1.0), SC_(6.77385044097900390625), SC_(0.0001491057337258556360697724884053639712183) }}, 
+      {{ SC_(1.0), SC_(7.88065433502197265625), SC_(0.4302184733486055021456160704267900644151e-4) }}, 
+      {{ SC_(1.0), SC_(9.41909885406494140625), SC_(0.785158179791932713400818863165202252408e-5) }}, 
+      {{ SC_(1.0), SC_(11.0517024993896484375), SC_(0.1323971054451696237675804650020934283271e-5) }}, 
+      {{ SC_(1.0), SC_(13.9249114990234375), SC_(0.6030052082140414872763484176234936031379e-7) }}, 
+      {{ SC_(1.0), SC_(14.85147190093994140625), SC_(0.2246847323452812310807076843921206699284e-7) }}, 
+      {{ SC_(1.0), SC_(15.408351898193359375), SC_(0.1243451611444526471238603318210383094864e-7) }}, 
+      {{ SC_(1.0), SC_(24.2687816619873046875), SC_(0.1143540865960474355116790661840197166523e-11) }}, 
+      {{ SC_(1.0), SC_(27.344074249267578125), SC_(0.4706136215074688573466876839711291930065e-13) }}, 
+      {{ SC_(1.0), SC_(27.3610286712646484375), SC_(0.4624246647932169908912545804468933517039e-13) }}, 
+      {{ SC_(1.0), SC_(31.6179637908935546875), SC_(0.5694058988300047405430136315685981910904e-15) }}, 
+      {{ SC_(1.0), SC_(36.2919464111328125), SC_(0.4648256808579637348536682966321094152884e-17) }}, 
+      {{ SC_(1.0), SC_(39.905292510986328125), SC_(0.1142405282651606532309094911197076666306e-18) }}, 
+      {{ SC_(1.0), SC_(40.0140228271484375), SC_(0.1021986300809498211588191270716148887523e-18) }}, 
+      {{ SC_(1.0), SC_(40.73618316650390625), SC_(0.487782450682026156951156991212514994025e-19) }}, 
+      {{ SC_(1.0), SC_(41.75042724609375), SC_(0.1727057820230415908617717666461962953748e-19) }}, 
+      {{ SC_(1.0), SC_(45.2895965576171875), SC_(0.4631155735799306610393016753551769399309e-21) }}, 
+      {{ SC_(1.0), SC_(45.668792724609375), SC_(0.3143839170407425907322861671102497142403e-21) }}, 
+      {{ SC_(1.0), SC_(47.858348846435546875), SC_(0.3362168462409445527866973776887649345695e-22) }}, 
+      {{ SC_(1.0), SC_(47.87534332275390625), SC_(0.3304362677594583967844855615677058007508e-22) }}, 
+      {{ SC_(1.0), SC_(48.244426727294921875), SC_(0.226739399060424385006440097684052080086e-22) }}, 
+      {{ SC_(1.0), SC_(48.384746551513671875), SC_(0.1964943928572394204174413988519401201072e-22) }}, 
+      {{ SC_(1.0), SC_(48.443389892578125), SC_(0.1850827201970609263420459500557652587842e-22) }}, 
+      {{ SC_(1.0), SC_(48.52964019775390625), SC_(0.1694924366999538118474174187456764816795e-22) }}, 
+      {{ SC_(1.0), SC_(49.055484771728515625), SC_(0.9912630736365412803849736897421968989741e-23) }}, 
+      {{ SC_(1.0), SC_(49.64406585693359375), SC_(0.5438645188377533724985296541041944657958e-23) }}, 
+      {{ SC_(1.0), SC_(49.82306671142578125), SC_(0.453125198123893560872142720624255521908e-23) }}, 
+      {{ SC_(2.0), SC_(4.8770198822021484375), SC_(0.001148398029861054199345012264954555516672) }}, 
+      {{ SC_(2.0), SC_(5.4930877685546875), SC_(0.0005661261928922653194607642596729661834247) }}, 
+      {{ SC_(2.0), SC_(6.349340915679931640625), SC_(0.0002145777273488298919718327983230556847796) }}, 
+      {{ SC_(2.0), SC_(6.77385044097900390625), SC_(0.0001332640771263485120228892792183916486212) }}, 
+      {{ SC_(2.0), SC_(7.88065433502197265625), SC_(0.3894533890038373320901565444021945347981e-4) }}, 
+      {{ SC_(2.0), SC_(9.41909885406494140625), SC_(0.7204297463873735434976126199477971633086e-5) }}, 
+      {{ SC_(2.0), SC_(11.0517024993896484375), SC_(0.1227990168839628846455833098303448433773e-5) }}, 
+      {{ SC_(2.0), SC_(13.9249114990234375), SC_(0.5669153773853601538047096767291498163949e-7) }}, 
+      {{ SC_(2.0), SC_(14.85147190093994140625), SC_(0.2119515173328888646673023951256382787035e-7) }}, 
+      {{ SC_(2.0), SC_(15.408351898193359375), SC_(0.117516121032261460497022783873154133277e-7) }}, 
+      {{ SC_(2.0), SC_(24.2687816619873046875), SC_(0.1101391593699757550330771982720681241702e-11) }}, 
+      {{ SC_(2.0), SC_(27.344074249267578125), SC_(0.455040382873003464913463942701086735304e-13) }}, 
+      {{ SC_(2.0), SC_(27.3610286712646484375), SC_(0.4471310237821561213380831578693487315293e-13) }}, 
+      {{ SC_(2.0), SC_(31.6179637908935546875), SC_(0.5529052161901346947337909482893699970406e-15) }}, 
+      {{ SC_(2.0), SC_(36.2919464111328125), SC_(0.4529662434116472194070436245672265042857e-17) }}, 
+      {{ SC_(2.0), SC_(39.905292510986328125), SC_(0.1115723439716279721203408768712029013923e-18) }}, 
+      {{ SC_(2.0), SC_(40.0140228271484375), SC_(0.9981775284731221089019834505818363552819e-19) }}, 
+      {{ SC_(2.0), SC_(40.73618316650390625), SC_(0.476607175264578408858879133079205715852e-19) }}, 
+      {{ SC_(2.0), SC_(41.75042724609375), SC_(0.1688390492701119435486287762562159858699e-19) }}, 
+      {{ SC_(2.0), SC_(45.2895965576171875), SC_(0.453509316313951763481540924928599736043e-21) }}, 
+      {{ SC_(2.0), SC_(45.668792724609375), SC_(0.3079137249356592053907428360776657046168e-21) }}, 
+      {{ SC_(2.0), SC_(47.858348846435546875), SC_(0.3295961155503943958700595959147493859494e-22) }}, 
+      {{ SC_(2.0), SC_(47.87534332275390625), SC_(0.3239315473021101354747830206293350407438e-22) }}, 
+      {{ SC_(2.0), SC_(48.244426727294921875), SC_(0.2223082182669535818051174435727011298994e-22) }}, 
+      {{ SC_(2.0), SC_(48.384746551513671875), SC_(0.1926648086158158737108049237086099136816e-22) }}, 
+      {{ SC_(2.0), SC_(48.443389892578125), SC_(0.1814796680110118157973519143593274853176e-22) }}, 
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+      {{ SC_(18.0), SC_(49.055484771728515625), SC_(0.7425816747534654135930452140258345150953e-23) }}, 
+      {{ SC_(18.0), SC_(49.64406585693359375), SC_(0.4086033441787891957075637357550164878787e-23) }}, 
+      {{ SC_(18.0), SC_(49.82306671142578125), SC_(0.3407268239675149389102320076812131752355e-23) }}, 
+      {{ SC_(19.0), SC_(4.8770198822021484375), SC_(0.0003299218001383672864659738838879727972487) }}, 
+      {{ SC_(19.0), SC_(5.4930877685546875), SC_(0.0001733991349490665481281126095882983855732) }}, 
+      {{ SC_(19.0), SC_(6.349340915679931640625), SC_(0.7100938383598173140693435749761807567666e-4) }}, 
+      {{ SC_(19.0), SC_(6.77385044097900390625), SC_(0.4563629608692565947786319220663650516549e-4) }}, 
+      {{ SC_(19.0), SC_(7.88065433502197265625), SC_(0.1443270554196663312646183655379321816718e-4) }}, 
+      {{ SC_(19.0), SC_(9.41909885406494140625), SC_(0.29229375975083585076493105009646691193e-5) }}, 
+      {{ SC_(19.0), SC_(11.0517024993896484375), SC_(0.5388187850716913097656101948535340106559e-6) }}, 
+      {{ SC_(19.0), SC_(13.9249114990234375), SC_(0.2769774827344526024771822366860889367455e-7) }}, 
+      {{ SC_(19.0), SC_(14.85147190093994140625), SC_(0.1065572314596267352295366530918149890449e-7) }}, 
+      {{ SC_(19.0), SC_(15.408351898193359375), SC_(0.6003676313155847558727754397017594033951e-8) }}, 
+      {{ SC_(19.0), SC_(24.2687816619873046875), SC_(0.673510094367160540559685869872164243268e-12) }}, 
+      {{ SC_(19.0), SC_(27.344074249267578125), SC_(0.289993053831443280728704537691191408601e-13) }}, 
+      {{ SC_(19.0), SC_(27.3610286712646484375), SC_(0.2850117596196444487754850323798614360794e-13) }}, 
+      {{ SC_(19.0), SC_(31.6179637908935546875), SC_(0.36926858164899886274377174666388292089e-15) }}, 
+      {{ SC_(19.0), SC_(36.2919464111328125), SC_(0.3152031486467603894636760424644054490708e-17) }}, 
+      {{ SC_(19.0), SC_(39.905292510986328125), SC_(0.7971283471563883595647243305675430830003e-19) }}, 
+      {{ SC_(19.0), SC_(40.0140228271484375), SC_(0.713670625520853508845859925787605624071e-19) }}, 
+      {{ SC_(19.0), SC_(40.73618316650390625), SC_(0.3423968029396160381858047664609964057523e-19) }}, 
+      {{ SC_(19.0), SC_(41.75042724609375), SC_(0.1220850361811720898162895334790244786434e-19) }}, 
+      {{ SC_(19.0), SC_(45.2895965576171875), SC_(0.3348077781029727272690886420995939073007e-21) }}, 
+      {{ SC_(19.0), SC_(45.668792724609375), SC_(0.2277906429392425943516822259098792365619e-21) }}, 
+      {{ SC_(19.0), SC_(47.858348846435546875), SC_(0.2466258937525478225241536833849016808137e-22) }}, 
+      {{ SC_(19.0), SC_(47.87534332275390625), SC_(0.2424079008386988642363753465963711935866e-22) }}, 
+      {{ SC_(19.0), SC_(48.244426727294921875), SC_(0.1666655664849833148892461708398016166091e-22) }}, 
+      {{ SC_(19.0), SC_(48.384746551513671875), SC_(0.1445416596516947735796394469778719792034e-22) }}, 
+      {{ SC_(19.0), SC_(48.443389892578125), SC_(0.1361895170902993690500755665628455156467e-22) }}, 
+      {{ SC_(19.0), SC_(48.52964019775390625), SC_(0.1247745693242413617880762275589768971805e-22) }}, 
+      {{ SC_(19.0), SC_(49.055484771728515625), SC_(0.7317433348691693533972442490012924107111e-23) }}, 
+      {{ SC_(19.0), SC_(49.64406585693359375), SC_(0.4026907655194597356087538417554343184765e-23) }}, 
+      {{ SC_(19.0), SC_(49.82306671142578125), SC_(0.3358092679602377945368265530432149819446e-23) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expint_small_data.ipp b/src/boost/libs/math/test/expint_small_data.ipp
new file mode 100644
index 00000000..bea7135b
--- /dev/null
+++ b/src/boost/libs/math/test/expint_small_data.ipp
@@ -0,0 +1,388 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 380> expint_small_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(577814.7758212256423775256378551874856003) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(461732.6762508792015318981937822200350918) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(137550.2124589000541443257494936989244997) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(71427.54725445416496694480545527677490243) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(58150.52089548332152905218845489376933772) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(16642.0678648645272946820823309167585461) }}, 
+      {{ SC_(0.0), SC_(0.000116783194243907928466796875), SC_(8561.875962532232545332572615047016255041) }}, 
+      {{ SC_(0.0), SC_(0.000149052008055150508880615234375), SC_(6708.067688223899497757367667879930968793) }}, 
+      {{ SC_(0.0), SC_(0.0003985252114944159984588623046875), SC_(2508.25173755195584857212143870952023231) }}, 
+      {{ SC_(0.0), SC_(0.00063875340856611728668212890625), SC_(1564.549694997861843953582226130571046846) }}, 
+      {{ SC_(0.0), SC_(0.0010718167759478092193603515625), SC_(931.9958222627537459717559330883276580758) }}, 
+      {{ SC_(0.0), SC_(0.00302191521041095256805419921875), SC_(329.9174784073144324156862883962096967334) }}, 
+      {{ SC_(0.0), SC_(0.00499413348734378814697265625), SC_(199.2374290724703076159801092696400339127) }}, 
+      {{ SC_(0.0), SC_(0.00928423367440700531005859375), SC_(106.7141098014748145666899963724983770114) }}, 
+      {{ SC_(0.0), SC_(0.0241700224578380584716796875), SC_(40.38555342987263632091024457927399908981) }}, 
+      {{ SC_(0.0), SC_(0.06227754056453704833984375), SC_(15.08765533838058040972104376703012409721) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875), SC_(7.232414021781513135268430322868745728174) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875), SC_(3.122105326937778672022451656660829990212) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375), SC_(1.245624088523070804276757644439503799036) }}, 
+      {{ SC_(1.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(12.68979643564902057445113029537557060384) }}, 
+      {{ SC_(1.0), SC_(0.216575062950141727924346923828125e-5), SC_(12.46553004636203965518423078801621406614) }}, 
+      {{ SC_(1.0), SC_(0.72700195232755504548549652099609375e-5), SC_(11.2545431860697943553517367149605754442) }}, 
+      {{ SC_(1.0), SC_(0.14000004739500582218170166015625e-4), SC_(10.5992512248675236793183882919991723644) }}, 
+      {{ SC_(1.0), SC_(0.17196454791701398789882659912109375e-4), SC_(10.39360884363072197965302323976810805946) }}, 
+      {{ SC_(1.0), SC_(0.60085076256655156612396240234375e-4), SC_(9.142593481727702781399755039472990143275) }}, 
+      {{ SC_(1.0), SC_(0.000116783194243907928466796875), SC_(8.478092497703841888257351897157795499674) }}, 
+      {{ SC_(1.0), SC_(0.000149052008055150508880615234375), SC_(8.23414864712424722136034054262711272215) }}, 
+      {{ SC_(1.0), SC_(0.0003985252114944159984588623046875), SC_(7.250922616359625879162196113845954202435) }}, 
+      {{ SC_(1.0), SC_(0.00063875340856611728668212890625), SC_(6.779415066673595920390207059288727481393) }}, 
+      {{ SC_(1.0), SC_(0.0010718167759478092193603515625), SC_(6.262256013645805034976972133526713777336) }}, 
+      {{ SC_(1.0), SC_(0.00302191521041095256805419921875), SC_(5.227668441815221372703241290567350771159) }}, 
+      {{ SC_(1.0), SC_(0.00499413348734378814697265625), SC_(4.727263598094615939046673594869014017738) }}, 
+      {{ SC_(1.0), SC_(0.00928423367440700531005859375), SC_(4.111484685210341022101979530301768631054) }}, 
+      {{ SC_(1.0), SC_(0.0241700224578380584716796875), SC_(3.169451246062171542238811993535958670845) }}, 
+      {{ SC_(1.0), SC_(0.06227754056453704833984375), SC_(2.260259939322263892205804391830568328218) }}, 
+      {{ SC_(1.0), SC_(0.12234418094158172607421875), SC_(1.642402990148853649294192107450058496557) }}, 
+      {{ SC_(1.0), SC_(0.249557673931121826171875), SC_(1.045662095585737033852768372992425480117) }}, 
+      {{ SC_(1.0), SC_(0.4912221431732177734375), SC_(0.570563675993986183667187214912446161025) }}, 
+      {{ SC_(2.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.9999763076811966831897766561746894854348) }}, 
+      {{ SC_(2.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.9999708370221707573655426375521705456129) }}, 
+      {{ SC_(2.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.999910909258214977122354162319349018702) }}, 
+      {{ SC_(2.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.9998376105258768057557573329394689665198) }}, 
+      {{ SC_(2.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.9998040704684643561925140532604520761726) }}, 
+      {{ SC_(2.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.9993905833022821790211571622936164235556) }}, 
+      {{ SC_(2.0), SC_(0.000116783194243907928466796875), SC_(0.9988931249016707081053405184509945116324) }}, 
+      {{ SC_(2.0), SC_(0.000149052008055150508880615234375), SC_(0.9986236427091650503801677112391142850053) }}, 
+      {{ SC_(2.0), SC_(0.0003985252114944159984588623046875), SC_(0.9967118787199152511223256805042743254983) }}, 
+      {{ SC_(2.0), SC_(0.00063875340856611728668212890625), SC_(0.9950310760690411830694553942700458450716) }}, 
+      {{ SC_(2.0), SC_(0.0010718167759478092193603515625), SC_(0.9922167663637865286439901988209755749909) }}, 
+      {{ SC_(2.0), SC_(0.00302191521041095256805419921875), SC_(0.9811850754001837523201422600369909453641) }}, 
+      {{ SC_(2.0), SC_(0.00499413348734378814697265625), SC_(0.9714097310243611715783408142596006996882) }}, 
+      {{ SC_(2.0), SC_(0.00928423367440700531005859375), SC_(0.9525867471869806036208170870856088617673) }}, 
+      {{ SC_(2.0), SC_(0.0241700224578380584716796875), SC_(0.899514025575894945250135338740921424329) }}, 
+      {{ SC_(2.0), SC_(0.06227754056453704833984375), SC_(0.7988586373022102057246901625949836282736) }}, 
+      {{ SC_(2.0), SC_(0.12234418094158172607421875), SC_(0.6839053211195040219693434236179451026624) }}, 
+      {{ SC_(2.0), SC_(0.249557673931121826171875), SC_(0.5181923428662377685394762787685048866534) }}, 
+      {{ SC_(2.0), SC_(0.4912221431732177734375), SC_(0.331604622613933458758263418893725943234) }}, 
+      {{ SC_(3.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.4999982693658376543091737671690095008434) }}, 
+      {{ SC_(3.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.4999978342821229854793933090060882477432) }}, 
+      {{ SC_(3.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.499992730317535704456607299984943350278) }}, 
+      {{ SC_(3.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.4999860011809870076130562371694389700641) }}, 
+      {{ SC_(3.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.4999828053037840548845718384848723742553) }}, 
+      {{ SC_(3.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.4999399341347037428568024707226853352885) }}, 
+      {{ SC_(3.0), SC_(0.000116783194243907928466796875), SC_(0.4998832848474067892057518818832512203809) }}, 
+      {{ SC_(3.0), SC_(0.000149052008055150508880615234375), SC_(0.4998510561202031850646246064500000857424) }}, 
+      {{ SC_(3.0), SC_(0.0003985252114944159984588623046875), SC_(0.4996021696884318821443832438164013431266) }}, 
+      {{ SC_(3.0), SC_(0.00063875340856611728668212890625), SC_(0.4993629355297475610790650823685848821969) }}, 
+      {{ SC_(3.0), SC_(0.0010718167759478092193603515625), SC_(0.4989326414194633805099515586523952746467) }}, 
+      {{ SC_(3.0), SC_(0.00302191521041095256805419921875), SC_(0.4970087940379552304612639268845472514031) }}, 
+      {{ SC_(3.0), SC_(0.00499413348734378814697265625), SC_(0.4950834832977331977677179906437250733682) }}, 
+      {{ SC_(3.0), SC_(0.00928423367440700531005859375), SC_(0.4909573468985959698257136388230010783411) }}, 
+      {{ SC_(3.0), SC_(0.0241700224578380584716796875), SC_(0.4771892295864653755887373794289668954978) }}, 
+      {{ SC_(3.0), SC_(0.06227754056453704833984375), SC_(0.4449355580849156787345354284758576392931) }}, 
+      {{ SC_(3.0), SC_(0.12234418094158172607421875), SC_(0.400585966685657543850238947546362051285) }}, 
+      {{ SC_(3.0), SC_(0.249557673931121826171875), SC_(0.3249132337119700131594392776225790919829) }}, 
+      {{ SC_(3.0), SC_(0.4912221431732177734375), SC_(0.2244933004729631534551199436414075158278) }}, 
+      {{ SC_(4.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.3333324680071245262715865645284048381042) }}, 
+      {{ SC_(4.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.3333322504603637963103582665303151431887) }}, 
+      {{ SC_(4.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.3333296983499974493372224529199642401407) }}, 
+      {{ SC_(4.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.3333263334289579635589330888999452889502) }}, 
+      {{ SC_(4.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.3333247352537861483970485437943510891261) }}, 
+      {{ SC_(4.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.3333032925999163851950867018863045026453) }}, 
+      {{ SC_(4.0), SC_(0.000116783194243907928466796875), SC_(0.3332749485526314189805479992822408219843) }}, 
+      {{ SC_(4.0), SC_(0.000149052008055150508880615234375), SC_(0.3332588184320001054426253340418943955967) }}, 
+      {{ SC_(4.0), SC_(0.0003985252114944159984588623046875), SC_(0.3331341500429304879323886027889306418722) }}, 
+      {{ SC_(4.0), SC_(0.00063875340856611728668212890625), SC_(0.333014160257927408406635357113451451623) }}, 
+      {{ SC_(4.0), SC_(0.0010718167759478092193603515625), SC_(0.3327979976797836072508267743048393663433) }}, 
+      {{ SC_(4.0), SC_(0.00302191521041095256805419921875), SC_(0.3318269092483597307661485853343450609366) }}, 
+      {{ SC_(4.0), SC_(0.00499413348734378814697265625), SC_(0.3308486011533795870796983158583450430641) }}, 
+      {{ SC_(4.0), SC_(0.00928423367440700531005859375), SC_(0.3287335230068152237322561573905418455842) }}, 
+      {{ SC_(4.0), SC_(0.0241700224578380584716796875), SC_(0.321528686325499046761296643527534796266) }}, 
+      {{ SC_(4.0), SC_(0.06227754056453704833984375), SC_(0.3039708583641707588487204824261130758999) }}, 
+      {{ SC_(4.0), SC_(0.12234418094158172607421875), SC_(0.2786114692448072420299674008584420739148) }}, 
+      {{ SC_(4.0), SC_(0.249557673931121826171875), SC_(0.2326869174413194941490162582911016352083) }}, 
+      {{ SC_(4.0), SC_(0.4912221431732177734375), SC_(0.1672006847220435577039399872043804888457) }}, 
+      {{ SC_(5.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.2499994231156112054464478225868175766528) }}, 
+      {{ SC_(5.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.2499992780842961167818165530973580904202) }}, 
+      {{ SC_(5.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.2499975766733721400779896480513000531392) }}, 
+      {{ SC_(5.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.2499953333807530756689397632193171572859) }}, 
+      {{ SC_(5.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.2499942679223314330462557114927736244578) }}, 
+      {{ SC_(5.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.2499799725437657315484048809036607807089) }}, 
+      {{ SC_(5.0), SC_(0.000116783194243907928466796875), SC_(0.2499610756778986060072655969409855563922) }}, 
+      {{ SC_(5.0), SC_(0.000149052008055150508880615234375), SC_(0.2499503215508885359803723774515238310774) }}, 
+      {{ SC_(5.0), SC_(0.0003985252114944159984588623046875), SC_(0.2498671979578819359594098594467548202963) }}, 
+      {{ SC_(5.0), SC_(0.00063875340856611728668212890625), SC_(0.2497871841552494748465221110450611975769) }}, 
+      {{ SC_(5.0), SC_(0.0010718167759478092193603515625), SC_(0.2496430147343942808033948163209649673697) }}, 
+      {{ SC_(5.0), SC_(0.00302191521041095256805419921875), SC_(0.2489949733488023051271180731389395708097) }}, 
+      {{ SC_(5.0), SC_(0.00499413348734378814697265625), SC_(0.2483415035962114594950005069148420510374) }}, 
+      {{ SC_(5.0), SC_(0.00928423367440700531005859375), SC_(0.2469266732272532034223040397507562406243) }}, 
+      {{ SC_(5.0), SC_(0.0241700224578380584716796875), SC_(0.2420870944507284922750390337420489762581) }}, 
+      {{ SC_(5.0), SC_(0.06227754056453704833984375), SC_(0.2301728774743846881561522041544016024552) }}, 
+      {{ SC_(5.0), SC_(0.12234418094158172607421875), SC_(0.2126893194298959031515617592899204600847) }}, 
+      {{ SC_(5.0), SC_(0.249557673931121826171875), SC_(0.1802691343219245000486413064752883220342) }}, 
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+      {{ SC_(13.0), SC_(0.249557673931121826171875), SC_(0.06349150772044809925640555488872857831394) }}, 
+      {{ SC_(13.0), SC_(0.4912221431732177734375), SC_(0.04881891192644300261465981982025741827539) }}, 
+      {{ SC_(14.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.07692293270192867056543562699538441285583) }}, 
+      {{ SC_(14.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.0769228964440710012344728838406850583334) }}, 
+      {{ SC_(14.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.07692247109051906115891896156059973330125) }}, 
+      {{ SC_(14.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.07692191026492434923638654737971706484434) }}, 
+      {{ SC_(14.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.07692164389861925975434793108993496260236) }}, 
+      {{ SC_(14.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.07691806999748599814943152086996911260154) }}, 
+      {{ SC_(14.0), SC_(0.000116783194243907928466796875), SC_(0.07691334561012010395780541439321710471635) }}, 
+      {{ SC_(14.0), SC_(0.000149052008055150508880615234375), SC_(0.07691065693219143191504630888978825884147) }}, 
+      {{ SC_(14.0), SC_(0.0003985252114944159984588623046875), SC_(0.07688987370692839019328246159046199168894) }}, 
+      {{ SC_(14.0), SC_(0.00063875340856611728668212890625), SC_(0.07686986601374376232543069428262715095707) }}, 
+      {{ SC_(14.0), SC_(0.0010718167759478092193603515625), SC_(0.07683381105568102550154808856089764095341) }}, 
+      {{ SC_(14.0), SC_(0.00302191521041095256805419921875), SC_(0.07667166528560983649912401473257889126991) }}, 
+      {{ SC_(14.0), SC_(0.00499413348734378814697265625), SC_(0.07650803075793694104802016836786104375801) }}, 
+      {{ SC_(14.0), SC_(0.00928423367440700531005859375), SC_(0.07615329552520869775634144814095036449211) }}, 
+      {{ SC_(14.0), SC_(0.0241700224578380584716796875), SC_(0.07493522871519846308938791611988935762331) }}, 
+      {{ SC_(14.0), SC_(0.06227754056453704833984375), SC_(0.07190561993157011549765803135931994222671) }}, 
+      {{ SC_(14.0), SC_(0.12234418094158172607421875), SC_(0.06737858497395458474863130657857757639511) }}, 
+      {{ SC_(14.0), SC_(0.249557673931121826171875), SC_(0.05871542693672782953195581711588401645767) }}, 
+      {{ SC_(14.0), SC_(0.4912221431732177734375), SC_(0.04522286183143052947956742362768640870137) }}, 
+      {{ SC_(15.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.07142843830135678430557686186483907103332) }}, 
+      {{ SC_(15.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.07142840483256459556893886139866769560301) }}, 
+      {{ SC_(15.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.07142801219850261754791111032097799780857) }}, 
+      {{ SC_(15.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.07142749451329655914708777285149771592756) }}, 
+      {{ SC_(15.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.07142724863667819098544040349933483459537) }}, 
+      {{ SC_(15.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.07142394965005100519504785729035742912749) }}, 
+      {{ SC_(15.0), SC_(0.000116783194243907928466796875), SC_(0.07141958867417625278045171566133804924267) }}, 
+      {{ SC_(15.0), SC_(0.000149052008055150508880615234375), SC_(0.07141710681512763831624656689212439533833) }}, 
+      {{ SC_(15.0), SC_(0.0003985252114944159984588623046875), SC_(0.07139792225971062733216224219889843492458) }}, 
+      {{ SC_(15.0), SC_(0.00063875340856611728668212890625), SC_(0.07137945354728793815621837897126096496695) }}, 
+      {{ SC_(15.0), SC_(0.0010718167759478092193603515625), SC_(0.07134617183191733372828052493089770600179) }}, 
+      {{ SC_(15.0), SC_(0.00302191521041095256805419921875), SC_(0.07119649649342545512786733526338407058593) }}, 
+      {{ SC_(15.0), SC_(0.00499413348734378814697265625), SC_(0.07104544465318913130029520977272205803238) }}, 
+      {{ SC_(15.0), SC_(0.00928423367440700531005859375), SC_(0.07071797905446335190765005167612134211414) }}, 
+      {{ SC_(15.0), SC_(0.0241700224578380584716796875), SC_(0.06959346765795077653558839105295821251784) }}, 
+      {{ SC_(15.0), SC_(0.06227754056453704833984375), SC_(0.0667959972998317143729966269635932436109) }}, 
+      {{ SC_(15.0), SC_(0.12234418094158172607421875), SC_(0.06261431370954492875982416200591991469247) }}, 
+      {{ SC_(15.0), SC_(0.249557673931121826171875), SC_(0.05460660412773958169800526198387768453117) }}, 
+      {{ SC_(15.0), SC_(0.4912221431732177734375), SC_(0.0421188330888019402635824495314924339382) }}, 
+      {{ SC_(16.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.06666654304853809699945783166277385282533) }}, 
+      {{ SC_(16.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.06666651197037353362502658679389514469466) }}, 
+      {{ SC_(16.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.0666661473815906706976833386950951600242) }}, 
+      {{ SC_(16.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.0666656666738665594423295905799989143287) }}, 
+      {{ SC_(16.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.06666543835984096023360798850623321457013) }}, 
+      {{ SC_(16.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.06666237501435694077352966293019493851952) }}, 
+      {{ SC_(16.0), SC_(0.000116783194243907928466796875), SC_(0.06665832553446339453823619449641153525662) }}, 
+      {{ SC_(16.0), SC_(0.000149052008055150508880615234375), SC_(0.06665602094909754909286909682461902922413) }}, 
+      {{ SC_(16.0), SC_(0.0003985252114944159984588623046875), SC_(0.06663820668780405347821578869651693922563) }}, 
+      {{ SC_(16.0), SC_(0.00063875340856611728668212890625), SC_(0.06662105711211390111652234096260015918844) }}, 
+      {{ SC_(16.0), SC_(0.0010718167759478092193603515625), SC_(0.06659015249270820342229697822760925298911) }}, 
+      {{ SC_(16.0), SC_(0.00302191521041095256805419921875), SC_(0.0664511664269206027424005742189069408551) }}, 
+      {{ SC_(16.0), SC_(0.00499413348734378814697265625), SC_(0.06631090040192273720685590565904807744936) }}, 
+      {{ SC_(16.0), SC_(0.00928423367440700531005859375), SC_(0.06600681130071304531237155750190562009028) }}, 
+      {{ SC_(16.0), SC_(0.0241700224578380584716796875), SC_(0.06496251051306859685686412141792258653208) }}, 
+      {{ SC_(16.0), SC_(0.06227754056453704833984375), SC_(0.06236414512855743773641213229896183548994) }}, 
+      {{ SC_(16.0), SC_(0.12234418094158172607421875), SC_(0.05847888485328378106294664079191164865064) }}, 
+      {{ SC_(16.0), SC_(0.249557673931121826171875), SC_(0.05103452307007735926554556327773818214919) }}, 
+      {{ SC_(16.0), SC_(0.4912221431732177734375), SC_(0.0394125620596434965123587499491500472372) }}, 
+      {{ SC_(17.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.06249988462307945307908017581791268977313) }}, 
+      {{ SC_(17.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.06249985561679221676774980550769608140614) }}, 
+      {{ SC_(17.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.06249951533391939041337864186116416893234) }}, 
+      {{ SC_(17.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.06249906667335066952129732040559092146342) }}, 
+      {{ SC_(17.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.06249885358024184723716755518368815597862) }}, 
+      {{ SC_(17.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.06249599445718307493973764409020902900864) }}, 
+      {{ SC_(17.0), SC_(0.000116783194243907928466796875), SC_(0.06249221494077931309495003783005590817055) }}, 
+      {{ SC_(17.0), SC_(0.000149052008055150508880615234375), SC_(0.06249006399286700569832074698786566925701) }}, 
+      {{ SC_(17.0), SC_(0.0003985252114944159984588623046875), SC_(0.06247343732398223434411132037030316052086) }}, 
+      {{ SC_(17.0), SC_(0.00063875340856611728668212890625), SC_(0.06245743100772817456409663607219418267563) }}, 
+      {{ SC_(17.0), SC_(0.0010718167759478092193603515625), SC_(0.06242858656074609674340793412520265769202) }}, 
+      {{ SC_(17.0), SC_(0.00302191521041095256805419921875), SC_(0.0622988647743072145354092596903005273557) }}, 
+      {{ SC_(17.0), SC_(0.00499413348734378814697265625), SC_(0.0621679469359271011639958295023269764062) }}, 
+      {{ SC_(17.0), SC_(0.00928423367440700531005859375), SC_(0.06188411931831255179325908903786178409114) }}, 
+      {{ SC_(17.0), SC_(0.0241700224578380584716796875), SC_(0.0609093492521388775469551843749806027059) }}, 
+      {{ SC_(17.0), SC_(0.06227754056453704833984375), SC_(0.0584836363613583832127398530378980108328) }}, 
+      {{ SC_(17.0), SC_(0.12234418094158172607421875), SC_(0.05485557615346988551034803028047672930453) }}, 
+      {{ SC_(17.0), SC_(0.249557673931121826171875), SC_(0.04790058039318774966694255640723585925481) }}, 
+      {{ SC_(17.0), SC_(0.4912221431732177734375), SC_(0.03703236319685020300958697194277916844504) }}, 
+      {{ SC_(18.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.05882342124590124743503668917708420145518) }}, 
+      {{ SC_(18.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.05882339405250671111581257451611106191635) }}, 
+      {{ SC_(18.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.05882307503730626938175588111928585498593) }}, 
+      {{ SC_(18.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.05882265441800179218625554918997835286824) }}, 
+      {{ SC_(18.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.05882245464319743258599789131069371575228) }}, 
+      {{ SC_(18.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.05881977421483662888664297358478870305647) }}, 
+      {{ SC_(18.0), SC_(0.000116783194243907928466796875), SC_(0.0588162309167159831370507751429249096136) }}, 
+      {{ SC_(18.0), SC_(0.000149052008055150508880615234375), SC_(0.05881421440177187580343423242512009971648) }}, 
+      {{ SC_(18.0), SC_(0.0003985252114944159984588623046875), SC_(0.05879862687937101718003654785828567378979) }}, 
+      {{ SC_(18.0), SC_(0.00063875340856611728668212890625), SC_(0.05878362092082452731016712169968859340322) }}, 
+      {{ SC_(18.0), SC_(0.0010718167759478092193603515625), SC_(0.05875657914165397869174629461513706700597) }}, 
+      {{ SC_(18.0), SC_(0.00302191521041095256805419921875), SC_(0.05863496378190809879409693964081298572753) }}, 
+      {{ SC_(18.0), SC_(0.00499413348734378814697265625), SC_(0.05851222596691027379082269719377427641588) }}, 
+      {{ SC_(18.0), SC_(0.00928423367440700531005859375), SC_(0.05824612853698429641923284472585223102581) }}, 
+      {{ SC_(18.0), SC_(0.0241700224578380584716796875), SC_(0.05733220900193670301704905656625237704967) }}, 
+      {{ SC_(18.0), SC_(0.06227754056453704833984375), SC_(0.05505763825434673012796407470855753202628) }}, 
+      {{ SC_(18.0), SC_(0.12234418094158172607421875), SC_(0.0516548534818056121546604299679736700432) }}, 
+      {{ SC_(18.0), SC_(0.249557673931121826171875), SC_(0.04512890504327541405581236239109694591622) }}, 
+      {{ SC_(18.0), SC_(0.4912221431732177734375), SC_(0.03492276573742135444124721201053141343969) }}, 
+      {{ SC_(19.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.05555545375238958055070296836154042278148) }}, 
+      {{ SC_(19.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.05555542815860627978655071793595712560455) }}, 
+      {{ SC_(19.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.05555512790899996177912196960367217844985) }}, 
+      {{ SC_(19.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.05555473203198997035603620704636908809792) }}, 
+      {{ SC_(19.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.0555545440086324706169620903193223815888) }}, 
+      {{ SC_(19.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.05555202125212201603991344567350516412012) }}, 
+      {{ SC_(19.0), SC_(0.000116783194243907928466796875), SC_(0.05554868638207377961222457350655311699087) }}, 
+      {{ SC_(19.0), SC_(0.000149052008055150508880615234375), SC_(0.0555467884846047083384104067993782562285) }}, 
+      {{ SC_(19.0), SC_(0.0003985252114944159984588623046875), SC_(0.05553211785855094070193498404565764766408) }}, 
+      {{ SC_(19.0), SC_(0.00063875340856611728668212890625), SC_(0.05551799457292957769783835164124369758407) }}, 
+      {{ SC_(19.0), SC_(0.0010718167759478092193603515625), SC_(0.05549254339595949030608724637993842293557) }}, 
+      {{ SC_(19.0), SC_(0.00302191521041095256805419921875), SC_(0.05537808090503200278730106215360027103479) }}, 
+      {{ SC_(19.0), SC_(0.00499413348734378814697265625), SC_(0.05526256103311035590358747232544709551335) }}, 
+      {{ SC_(19.0), SC_(0.00928423367440700531005859375), SC_(0.05501210894918067939819530617078899142577) }}, 
+      {{ SC_(19.0), SC_(0.0241700224578380584716796875), SC_(0.05415188958850589857220572747127058337905) }}, 
+      {{ SC_(19.0), SC_(0.06227754056453704833984375), SC_(0.05201073405888765875221070931942632402262) }}, 
+      {{ SC_(19.0), SC_(0.12234418094158172607421875), SC_(0.04880689438802118463144973826036250259302) }}, 
+      {{ SC_(19.0), SC_(0.249557673931121826171875), SC_(0.04266017103271657719951582163012671039402) }}, 
+      {{ SC_(19.0), SC_(0.4912221431732177734375), SC_(0.03304018325118980221254092304969558212594) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data.ipp b/src/boost/libs/math/test/expinti_data.ipp
new file mode 100644
index 00000000..0d15a709
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data.ipp
@@ -0,0 +1,344 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 336> expinti_data = {{
+      {{ SC_(-49.689971923828125), SC_(-0.5189914452467706181911213069148082266893e-23) }}, 
+      {{ SC_(-49.490234375), SC_(-0.6362401135264284153452455085506782750647e-23) }}, 
+      {{ SC_(-49.47381591796875), SC_(-0.6469829627301154800340680350229540167762e-23) }}, 
+      {{ SC_(-49.109668731689453125), SC_(-0.937965617499186961883342318134168114907e-23) }}, 
+      {{ SC_(-48.69077301025390625), SC_(-0.1438002258908106326351299430868912629378e-22) }}, 
+      {{ SC_(-48.5106964111328125), SC_(-0.1728000132640339028589502655738823027867e-22) }}, 
+      {{ SC_(-48.044872283935546875), SC_(-0.2779439615740334951105570945539716295032e-22) }}, 
+      {{ SC_(-46.498386383056640625), SC_(-0.1347452831431197364179115494975704338441e-21) }}, 
+      {{ SC_(-46.225093841552734375), SC_(-0.1781193691784135039948913637371768811083e-21) }}, 
+      {{ SC_(-46.21092987060546875), SC_(-0.1807144449606719884758204680891841205212e-21) }}, 
+      {{ SC_(-46.07171630859375), SC_(-0.2083224907084183832424058026703771220474e-21) }}, 
+      {{ SC_(-45.99146270751953125), SC_(-0.2261161370639941533874318532661368660359e-21) }}, 
+      {{ SC_(-45.54817962646484375), SC_(-0.3556041033058530933762241390777221084271e-21) }}, 
+      {{ SC_(-45.04344940185546875), SC_(-0.5955350514558786142053309726857087311429e-21) }}, 
+      {{ SC_(-44.921146392822265625), SC_(-0.6748061149415831787816898069300771337011e-21) }}, 
+      {{ SC_(-44.366191864013671875), SC_(-0.1189810693892140146725035626514689534384e-20) }}, 
+      {{ SC_(-44.065486907958984375), SC_(-0.1617943260346693355541238773884456402131e-20) }}, 
+      {{ SC_(-42.564510345458984375), SC_(-0.7508521784292956555049663090063210339236e-20) }}, 
+      {{ SC_(-41.65602874755859375), SC_(-0.1902237115363634179207156972256911270036e-19) }}, 
+      {{ SC_(-41.643665313720703125), SC_(-0.1926460223216498626564145997341831122167e-19) }}, 
+      {{ SC_(-41.46872711181640625), SC_(-0.2304209021566303248261300380232548536606e-19) }}, 
+      {{ SC_(-41.400691986083984375), SC_(-0.2470393735589908561748312777657558449938e-19) }}, 
+      {{ SC_(-40.7796478271484375), SC_(-0.4665489090348590088892832574733877627252e-19) }}, 
+      {{ SC_(-40.712055206298828125), SC_(-0.4999841334502210157248794528480866083337e-19) }}, 
+      {{ SC_(-39.510929107666015625), SC_(-0.1711205236582734104034468188313993053133e-18) }}, 
+      {{ SC_(-39.3155059814453125), SC_(-0.2090623264737543134488804288570287187466e-18) }}, 
+      {{ SC_(-39.270557403564453125), SC_(-0.2189181301371969956898734656820283591514e-18) }}, 
+      {{ SC_(-38.26819610595703125), SC_(-0.6117321854640996737992349893398315143733e-18) }}, 
+      {{ SC_(-37.9152069091796875), SC_(-0.8785955246457078845733834215638759432102e-18) }}, 
+      {{ SC_(-37.628902435302734375), SC_(-0.1178529325141498446240403317681089430123e-17) }}, 
+      {{ SC_(-36.91025543212890625), SC_(-0.2463830668835851637664366500894910731401e-17) }}, 
+      {{ SC_(-36.849811553955078125), SC_(-0.26215321484857982843437445475200392826e-17) }}, 
+      {{ SC_(-36.434917449951171875), SC_(-0.4013604158054956102381643294616861600937e-17) }}, 
+      {{ SC_(-36.22989654541015625), SC_(-0.4954070919347881798661389820765284703293e-17) }}, 
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+      {{ SC_(19.012279510498046875), SC_(10066932.15321395806087810278623274756541) }}, 
+      {{ SC_(19.5595188140869140625), SC_(16883605.29408456961771231663180943490866) }}, 
+      {{ SC_(20.37397003173828125), SC_(36508755.03776723110298560035691974974617) }}, 
+      {{ SC_(20.835704803466796875), SC_(56575951.205609704704636343530031541064) }}, 
+      {{ SC_(21.0944309234619140625), SC_(72332387.61173328702549768015323808037801) }}, 
+      {{ SC_(21.9486980438232421875), SC_(162986366.6628523568138908187268486831292) }}, 
+      {{ SC_(22.0607814788818359375), SC_(181342019.5679948669381801941271758479043) }}, 
+      {{ SC_(22.1025676727294921875), SC_(188703736.1360623611074418193171278225304) }}, 
+      {{ SC_(22.1314754486083984375), SC_(193971208.5963560967150675933295824773472) }}, 
+      {{ SC_(22.6131420135498046875), SC_(306960930.053725589282112731051688195145) }}, 
+      {{ SC_(22.9966068267822265625), SC_(442531056.6008858180372506333673348776581) }}, 
+      {{ SC_(24.66086578369140625), SC_(2172219893.769243704085432245669500194727) }}, 
+      {{ SC_(24.7471675872802734375), SC_(2359372003.318650065162623018506525353893) }}, 
+      {{ SC_(24.7672977447509765625), SC_(2405300409.260463112199179923485274897776) }}, 
+      {{ SC_(24.78017425537109375), SC_(2435147794.700459281996413056218750490234) }}, 
+      {{ SC_(24.831577301025390625), SC_(2558042555.796109988805685451913765393216) }}, 
+      {{ SC_(24.9495487213134765625), SC_(2864104017.927884220619778105722242253745) }}, 
+      {{ SC_(25.8135986328125), SC_(6558254256.348564813851988511155677431286) }}, 
+      {{ SC_(26.431148529052734375), SC_(11865100527.11967913666447024180657659641) }}, 
+      {{ SC_(26.475616455078125), SC_(12382894374.47640125042051702147914482717) }}, 
+      {{ SC_(26.8984375), SC_(18589906285.97139709477775311556771661975) }}, 
+      {{ SC_(27.6351680755615234375), SC_(37758334087.66944768183509564350686344903) }}, 
+      {{ SC_(27.6650714874267578125), SC_(38860718906.05169447986846371460827946851) }}, 
+      {{ SC_(28.030132293701171875), SC_(55224345285.73183315482360024631420661039) }}, 
+      {{ SC_(28.1774234771728515625), SC_(63640104036.92648906241078382739179720716) }}, 
+      {{ SC_(28.771076202392578125), SC_(112755629580.1567007685754818929698465233) }}, 
+      {{ SC_(29.2542781829833984375), SC_(179670592771.6875712257676967047727294651) }}, 
+      {{ SC_(29.84228515625), SC_(316865442957.5609324434506204080682970604) }}, 
+      {{ SC_(29.9650173187255859375), SC_(356720167837.8059821256007389978942158479) }}, 
+      {{ SC_(30.60785675048828125), SC_(663668224048.0604218612696926330408705931) }}, 
+      {{ SC_(30.651767730712890625), SC_(692430279700.9637790480873609641395475303) }}, 
+      {{ SC_(31.47119903564453125), SC_(1528910755990.844994280853960653895757449) }}, 
+      {{ SC_(31.744571685791015625), SC_(1991673673982.885396571525113897855042645) }}, 
+      {{ SC_(32.2966766357421875), SC_(3398181411672.422126614376199484878709082) }}, 
+      {{ SC_(32.49350738525390625), SC_(4111498043870.037918808870011846450846812) }}, 
+      {{ SC_(32.639377593994140625), SC_(4735210781514.282917532917045901722362452) }}, 
+      {{ SC_(32.9102020263671875), SC_(6155269461572.004859718923506587585651898) }}, 
+      {{ SC_(33.015533447265625), SC_(6816439946334.964794674640603518324460658) }}, 
+      {{ SC_(33.292026519775390625), SC_(8910343016135.140885096036479635757392035) }}, 
+      {{ SC_(33.351413726806640625), SC_(9438137404966.366739297549042509103959184) }}, 
+      {{ SC_(33.790431976318359375), SC_(14443862666819.21046289715593905528182097) }}, 
+      {{ SC_(33.866344451904296875), SC_(15546956543575.59764405635272615745868862) }}, 
+      {{ SC_(34.012500762939453125), SC_(17913865016638.12842343852721911357435736) }}, 
+      {{ SC_(34.20684814453125), SC_(21629122436899.19912288305015863841369024) }}, 
+      {{ SC_(35.130886077880859375), SC_(53015183051332.74153203541356793785468028) }}, 
+      {{ SC_(35.24015045166015625), SC_(58947101093536.87223820738247177154640853) }}, 
+      {{ SC_(35.67874908447265625), SC_(90241306347642.26414493832961429071231867) }}, 
+      {{ SC_(35.70839691162109375), SC_(92877271582193.34830869185118876551411853) }}, 
+      {{ SC_(37.142803192138671875), SC_(374322570986670.3197355366942794241040052) }}, 
+      {{ SC_(37.295734405517578125), SC_(434336543053163.6784396158427358728630635) }}, 
+      {{ SC_(37.337249755859375), SC_(452229579706005.3198360961998657288335433) }}, 
+      {{ SC_(37.371295928955078125), SC_(467452657592235.4557742032788566543129601) }}, 
+      {{ SC_(37.47199249267578125), SC_(515545372809301.8307905963516087180550462) }}, 
+      {{ SC_(37.700786590576171875), SC_(644036634222999.9230954385992851671021201) }}, 
+      {{ SC_(37.77214813232421875), SC_(690331189582367.0242854882027008973993238) }}, 
+      {{ SC_(37.7916412353515625), SC_(703546341004539.6440063503740195080075798) }}, 
+      {{ SC_(38.007534027099609375), SC_(867977923035967.2387116719471097584367879) }}, 
+      {{ SC_(38.030849456787109375), SC_(887892682109427.8216437485269424411635003) }}, 
+      {{ SC_(38.232257843017578125), SC_(1080118946394155.640540236541909448482468) }}, 
+      {{ SC_(38.828411102294921875), SC_(1929604067639860.142261254221961073466133) }}, 
+      {{ SC_(38.8993072509765625), SC_(2067490868399521.448714428128264044795958) }}, 
+      {{ SC_(39.070796966552734375), SC_(2443188466949830.286454990607186034125934) }}, 
+      {{ SC_(39.57132720947265625), SC_(3977896133471904.309030036870273146195475) }}, 
+      {{ SC_(39.619602203369140625), SC_(4169413741026091.435196275993524526107061) }}, 
+      {{ SC_(39.903354644775390625), SC_(5496968390256242.123534199929484292088181) }}, 
+      {{ SC_(40.292484283447265625), SC_(8031404394724528.542925073441994364789595) }}, 
+      {{ SC_(40.337055206298828125), SC_(8387940643235804.328777240761144315540951) }}, 
+      {{ SC_(40.40936279296875), SC_(9000350988468569.862069911874242513693811) }}, 
+      {{ SC_(40.486545562744140625), SC_(9703503769049494.903270793598303590559637) }}, 
+      {{ SC_(40.58036041259765625), SC_(10632608216710854.46031088764839485644682) }}, 
+      {{ SC_(40.839870452880859375), SC_(13693091147862452.41874314869980290347395) }}, 
+      {{ SC_(41.391147613525390625), SC_(23439146134369609.98587928723498036090512) }}, 
+      {{ SC_(41.850940704345703125), SC_(36703294479064600.3832020868783140575162) }}, 
+      {{ SC_(42.4788970947265625), SC_(67731301681578920.49039567895447521625383) }}, 
+      {{ SC_(43.331455230712890625), SC_(155669602636333053.4786944018929963653098) }}, 
+      {{ SC_(43.404224395751953125), SC_(167132241928819035.0710856728527709620153) }}, 
+      {{ SC_(43.8334197998046875), SC_(254143262583491699.1980601913565298527589) }}, 
+      {{ SC_(43.9896087646484375), SC_(296024739641759806.6894125116837989457761) }}, 
+      {{ SC_(44.14626312255859375), SC_(344969417880314064.475422911828132537173) }}, 
+      {{ SC_(44.89459991455078125), SC_(716642754835341877.2986625908564001827266) }}, 
+      {{ SC_(45.55641937255859375), SC_(1368424686960668756.908114295234155840218) }}, 
+      {{ SC_(45.622142791748046875), SC_(1459228779377576203.085179194127347039233) }}, 
+      {{ SC_(45.96717071533203125), SC_(2044647179130784910.065675826506375503182) }}, 
+      {{ SC_(46.443317413330078125), SC_(3257069147351952822.406316784082908654148) }}, 
+      {{ SC_(46.62737274169921875), SC_(3899455212627022627.757193164190203742303) }}, 
+      {{ SC_(47.999355316162109375), SC_(14926880987843627550.42423425846631056877) }}, 
+      {{ SC_(49.637111663818359375), SC_(74190413685387077283.04485547837473387867) }}, 
+      {{ SC_(49.81011962890625), SC_(87890252389194795154.44680392696975525721) }}, 
+      {{ SC_(50.171234130859375), SC_(125189140534515913902.5259763391614688736) }}, 
+      {{ SC_(50.383525848388671875), SC_(154131408309808097686.7891755712917358669) }}, 
+      {{ SC_(50.46710968017578125), SC_(167284637436075321503.8911970981891929543) }}, 
+      {{ SC_(50.471343994140625), SC_(167980083475835196141.8258748379299905807) }}, 
+      {{ SC_(50.7309112548828125), SC_(216626578190231872367.3411388285205467896) }}, 
+      {{ SC_(50.891300201416015625), SC_(253494280682248147653.5031137670581769109) }}, 
+      {{ SC_(51.29622650146484375), SC_(376974396494639297221.5916323256511307768) }}, 
+      {{ SC_(52.0242156982421875), SC_(769533307813336085464.2719431240758770955) }}, 
+      {{ SC_(52.21900177001953125), SC_(931463445412117009569.997805462678793371) }}, 
+      {{ SC_(52.4724273681640625), SC_(1194213241460405145426.923208285103882948) }}, 
+      {{ SC_(52.739253997802734375), SC_(1551371845141512428417.754279321277408047) }}, 
+      {{ SC_(52.741176605224609375), SC_(1554299590225018307998.020329038078465699) }}, 
+      {{ SC_(53.40814208984375), SC_(2989698064310689472929.903511572929914131) }}, 
+      {{ SC_(54.5244293212890625), SC_(8938496865444328223663.418183347060066178) }}, 
+      {{ SC_(55.05193328857421875), SC_(15000102942849475726352.24634597020497441) }}, 
+      {{ SC_(55.28836822509765625), SC_(18918195096476420185424.79716369248547301) }}, 
+      {{ SC_(55.32575225830078125), SC_(19625295432594734639694.04077946718413513) }}, 
+      {{ SC_(55.522052764892578125), SC_(23795829974930383969706.74411638885122467) }}, 
+      {{ SC_(55.544170379638671875), SC_(24318128427099146738245.91342763630756375) }}, 
+      {{ SC_(55.57183837890625), SC_(24987672558936599326235.83821092811506408) }}, 
+      {{ SC_(55.808788299560546875), SC_(31531809737095643566486.71781327383155317) }}, 
+      {{ SC_(56.137737274169921875), SC_(43552095758129714470140.32600682101217921) }}, 
+      {{ SC_(56.146297454833984375), SC_(43919686479374955504528.98148221455056972) }}, 
+      {{ SC_(56.446441650390625), SC_(58972731376406161145451.87899710728216492) }}, 
+      {{ SC_(56.5754547119140625), SC_(66937712106290641632239.78290159424299056) }}, 
+      {{ SC_(56.765209197998046875), SC_(80648977731394081623112.8051042421861491) }}, 
+      {{ SC_(57.47022247314453125), SC_(161184177439288421438465.5484877575634735) }}, 
+      {{ SC_(57.791820526123046875), SC_(221066403776152634685122.7495432888528563) }}, 
+      {{ SC_(57.92206573486328125), SC_(251241864908534403966454.9934420615252414) }}, 
+      {{ SC_(58.059658050537109375), SC_(287606300821348197823323.3455461108172774) }}, 
+      {{ SC_(58.620555877685546875), SC_(499047878771232722946891.2015515727402121) }}, 
+      {{ SC_(58.721736907958984375), SC_(551216418687710616233343.712210604071037) }}, 
+      {{ SC_(58.73737335205078125), SC_(559751492456295202734141.0778013286664605) }}, 
+      {{ SC_(59.21694183349609375), SC_(896756596017748427943431.7704197691518272) }}, 
+      {{ SC_(59.3475341796875), SC_(1019568455497745443792447.961272554810421) }}, 
+      {{ SC_(59.574817657470703125), SC_(1274778904679711262832523.146694528881756) }}, 
+      {{ SC_(59.610748291015625), SC_(1320604762679106118330023.701104305685706) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data_double.ipp b/src/boost/libs/math/test/expinti_data_double.ipp
new file mode 100644
index 00000000..6bee1d5d
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data_double.ipp
@@ -0,0 +1,108 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> expinti_data_double = {{
+      {{ SC_(102.87009429931640625), SC_(4654899469800805764672952463660041015404000.0) }}, 
+      {{ SC_(119.09970855712890625), SC_(0.4488787864805080932333174640972770490538e50) }}, 
+      {{ SC_(120.6676483154296875), SC_(0.2124946028694675872596376925084081671409e51) }}, 
+      {{ SC_(121.42700958251953125), SC_(0.4512183727732527195281492082353068494556e51) }}, 
+      {{ SC_(121.86475372314453125), SC_(0.6964992423126020624418128987604728390362e51) }}, 
+      {{ SC_(127.7028350830078125), SC_(0.2279700329256221183052489611729485531343e54) }}, 
+      {{ SC_(130.7298583984375), SC_(0.4594543786954020597612997101862332382815e55) }}, 
+      {{ SC_(158.2790679931640625), SC_(0.3491987572497265283430495639424245161776e67) }}, 
+      {{ SC_(158.5242462158203125), SC_(0.4455287145500353654763437019012245914284e67) }}, 
+      {{ SC_(165.91705322265625), SC_(0.6912119996498744776551301234337228896794e70) }}, 
+      {{ SC_(167.4787139892578125), SC_(0.326391223691365039787070460177842703726e71) }}, 
+      {{ SC_(175.1096649169921875), SC_(0.6432100430305357924660611042288806557127e74) }}, 
+      {{ SC_(175.5379791259765625), SC_(0.984691477953540716615977148580851612426e74) }}, 
+      {{ SC_(176.1920928955078125), SC_(0.1886920114953374654886114337300975535295e75) }}, 
+      {{ SC_(181.2862091064453125), SC_(0.2989862847852351506449654279623175818276e77) }}, 
+      {{ SC_(185.131805419921875), SC_(0.1369637565311070319468869408302175020227e79) }}, 
+      {{ SC_(189.4683837890625), SC_(0.1022933561959569428116028573369712959689e81) }}, 
+      {{ SC_(194.5678558349609375), SC_(0.1632768521286416542097135533095455177471e83) }}, 
+      {{ SC_(202.712005615234375), SC_(0.5394913535503452815798780947886876429896e86) }}, 
+      {{ SC_(204.3191070556640625), SC_(0.266988871270822922902591264774139389463e87) }}, 
+      {{ SC_(212.123565673828125), SC_(0.6303288415421386740517895306336947600047e90) }}, 
+      {{ SC_(213.0291748046875), SC_(0.1552420011212288898683659113258420389942e91) }}, 
+      {{ SC_(226.1254425048828125), SC_(0.7122229519086770010493744714810456037758e96) }}, 
+      {{ SC_(227.15460205078125), SC_(0.1984236104811331566958586895971472749551e97) }}, 
+      {{ SC_(232.62042236328125), SC_(0.4581388566249763831986535890804413533361e99) }}, 
+      {{ SC_(266.153778076171875), SC_(0.1464284823232428349504366357670506664606e114) }}, 
+      {{ SC_(267.09893798828125), SC_(0.3754550321478881080837201630749628066915e114) }}, 
+      {{ SC_(278.2176513671875), SC_(0.2429828209076613873458952686349499170143e119) }}, 
+      {{ SC_(281.147857666015625), SC_(0.4503824419536589690469228449149704329645e120) }}, 
+      {{ SC_(284.900238037109375), SC_(0.1894265905804735697510091486272554808834e122) }}, 
+      {{ SC_(289.930267333984375), SC_(0.2846606517420129071955201585454115986331e124) }}, 
+      {{ SC_(290.259674072265625), SC_(0.39526840660281511332137740213452297475e124) }}, 
+      {{ SC_(316.776397705078125), SC_(0.1188136226285138671097715211294885613261e136) }}, 
+      {{ SC_(328.93505859375), SC_(0.2182212639027467806212909144237589962574e141) }}, 
+      {{ SC_(335.336212158203125), SC_(0.1289694992441169816466607238785447573694e144) }}, 
+      {{ SC_(339.243133544921875), SC_(0.6341554830794841647273380024739218173519e145) }}, 
+      {{ SC_(345.23870849609375), SC_(0.2502707079015256413360729708739472586996e148) }}, 
+      {{ SC_(353.0567626953125), SC_(0.6081275380494346069537610386054436827084e151) }}, 
+      {{ SC_(353.252593994140625), SC_(0.7392674930634857604064928936832561047528e151) }}, 
+      {{ SC_(363.246612548828125), SC_(0.1573977048026212180539326023109084395454e156) }}, 
+      {{ SC_(367.351715087890625), SC_(0.9439039533362185936065067145525348987048e157) }}, 
+      {{ SC_(374.793487548828125), SC_(0.1578028673470190623900612461257603840414e161) }}, 
+      {{ SC_(384.855224609375), SC_(0.3600276754143745485244589154691966465381e165) }}, 
+      {{ SC_(391.225372314453125), SC_(0.2068748707894393683497591012649949622203e168) }}, 
+      {{ SC_(392.541351318359375), SC_(0.7687196958833528385591120302020777152611e168) }}, 
+      {{ SC_(393.858642578125), SC_(0.2860234483451614302230860963468500787004e169) }}, 
+      {{ SC_(394.353424072265625), SC_(0.468528356426515701193951809153160635264e169) }}, 
+      {{ SC_(402.1976318359375), SC_(0.1171808089560200191770907797339877928134e173) }}, 
+      {{ SC_(428.12890625), SC_(0.2011244899732843068179501387740539518665e184) }}, 
+      {{ SC_(428.332366943359375), SC_(0.2463882456108220623335396182335238049978e184) }}, 
+      {{ SC_(479.415557861328125), SC_(0.3370760755402075136867387081832481381884e206) }}, 
+      {{ SC_(483.858001708984375), SC_(0.2838197444669518328148323406487783086905e208) }}, 
+      {{ SC_(487.787811279296875), SC_(0.143290343327313200442365090263240144269e210) }}, 
+      {{ SC_(493.2867431640625), SC_(0.3463332679043421510270870135017998699304e212) }}, 
+      {{ SC_(493.44439697265625), SC_(0.4053436082306786060312645931633934496659e212) }}, 
+      {{ SC_(498.163299560546875), SC_(0.4498573166263689115195724188943233736555e214) }}, 
+      {{ SC_(507.2410888671875), SC_(0.3869458554978062751502315639584587941431e218) }}, 
+      {{ SC_(508.815704345703125), SC_(0.1862722954440262359736876867660438647055e219) }}, 
+      {{ SC_(516.89715576171875), SC_(0.5929539458008759668618166365480530357574e222) }}, 
+      {{ SC_(523.627685546875), SC_(0.490256757720855085525310071865504294369e225) }}, 
+      {{ SC_(525.618896484375), SC_(0.357720625670250295507690509025554576924e226) }}, 
+      {{ SC_(535.50335693359375), SC_(0.6889759236100754327282718895680993386846e230) }}, 
+      {{ SC_(544.38836669921875), SC_(0.4895023821578599017471211778436380380851e234) }}, 
+      {{ SC_(545.87945556640625), SC_(0.2168384886985358923425414610198222504761e235) }}, 
+      {{ SC_(552.81201171875), SC_(0.2194908907077200735474576859355376276996e238) }}, 
+      {{ SC_(554.64410400390625), SC_(0.1366609803311340085634888162278346794975e239) }}, 
+      {{ SC_(558.25), SC_(0.4998570812776135939052842271424771438308e240) }}, 
+      {{ SC_(559.31011962890625), SC_(0.1440205702121135197609975402434930330836e241) }}, 
+      {{ SC_(575.32440185546875), SC_(0.1261993396536182845635950097162949293812e248) }}, 
+      {{ SC_(576.385009765625), SC_(0.3638077665497671657713912984804072342658e248) }}, 
+      {{ SC_(577.11993408203125), SC_(0.7576893430265850749719869973928888261581e248) }}, 
+      {{ SC_(578.367919921875), SC_(0.2633569534665923102825640510310718246757e249) }}, 
+      {{ SC_(578.7572021484375), SC_(0.3884321712516615414225859937380556292439e249) }}, 
+      {{ SC_(578.863525390625), SC_(0.4319275188177097667628494729863878264458e249) }}, 
+      {{ SC_(580.16827392578125), SC_(0.1588826507174073600934477712203698999436e250) }}, 
+      {{ SC_(584.51861572265625), SC_(0.1222238450958130847374075209904594309916e252) }}, 
+      {{ SC_(588.834228515625), SC_(0.9082441109422063046992881078366160444507e253) }}, 
+      {{ SC_(593.1419677734375), SC_(0.6696671407396550532370011475709646515434e255) }}, 
+      {{ SC_(594.07470703125), SC_(0.1699256492240263485176709898640795327905e256) }}, 
+      {{ SC_(601.005126953125), SC_(0.1718131816979918101950016705556617558037e259) }}, 
+      {{ SC_(609.47760009765625), SC_(0.8100561951389239245138612767305143306984e262) }}, 
+      {{ SC_(623.457275390625), SC_(0.9331382282084315894480060552801462030494e268) }}, 
+      {{ SC_(627.05841064453125), SC_(0.3399333946028564608617370823657507561735e270) }}, 
+      {{ SC_(643.47515869140625), SC_(0.4465348678487959522963305527404292744891e277) }}, 
+      {{ SC_(648.0255126953125), SC_(0.4197434532469066342906967841224435165556e279) }}, 
+      {{ SC_(649.44134521484375), SC_(0.1725531471297453891677758589012301168234e280) }}, 
+      {{ SC_(652.52484130859375), SC_(0.3749798510829081836112102781820076672405e281) }}, 
+      {{ SC_(660.39593505859375), SC_(0.970879214993044630543023552485120399286e284) }}, 
+      {{ SC_(670.13323974609375), SC_(0.1620527966055446945578211401048814814567e289) }}, 
+      {{ SC_(674.3001708984375), SC_(0.1039047983324197139199069164254061321298e291) }}, 
+      {{ SC_(674.50408935546875), SC_(0.1273692969308263916056410711840867769624e291) }}, 
+      {{ SC_(675.69549560546875), SC_(0.418522040928659237731709573433592942673e291) }}, 
+      {{ SC_(678.93310546875), SC_(0.1061000019714235158838961951634579077223e293) }}, 
+      {{ SC_(680.616943359375), SC_(0.5700586451271579571730049808881026675533e293) }}, 
+      {{ SC_(681.3206787109375), SC_(0.1151061266572356641000638910442083400077e294) }}, 
+      {{ SC_(682.35565185546875), SC_(0.3235350762276795224692901027817771950219e294) }}, 
+      {{ SC_(688.66583251953125), SC_(0.1763576946849989630024915426356908693227e297) }}, 
+      {{ SC_(695.728759765625), SC_(0.2038669812824068591196373014464478923157e300) }}, 
+      {{ SC_(696.44110107421875), SC_(0.4152099129072985415211360691072606219165e300) }}, 
+      {{ SC_(697.87677001953125), SC_(0.174130632289273126035703061440352012941e301) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data_long.ipp b/src/boost/libs/math/test/expinti_data_long.ipp
new file mode 100644
index 00000000..faf983e4
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data_long.ipp
@@ -0,0 +1,108 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> expinti_data_long = {{
+      {{ SC_(850.51361083984375), SC_(0.27809823533792637952061836944224670902e367) }}, 
+      {{ SC_(1136.15478515625), SC_(0.2348005093803919554840423708437417479629e491) }}, 
+      {{ SC_(1163.7506103515625), SC_(0.2213003663371766101124862788858798209669e503) }}, 
+      {{ SC_(1177.1153564453125), SC_(0.1393972678294381321914138715599921955926e509) }}, 
+      {{ SC_(1184.819580078125), SC_(0.3071287487721510514525001455932125917587e512) }}, 
+      {{ SC_(1287.56982421875), SC_(0.1188602460855659524267859866086060607259e557) }}, 
+      {{ SC_(1340.845458984375), SC_(0.1565775363947514543544059577542317926535e580) }}, 
+      {{ SC_(1825.7115478515625), SC_(0.4317742008433835384506876651615126974963e790) }}, 
+      {{ SC_(1830.026611328125), SC_(0.3222842941582302836955227140289123449271e792) }}, 
+      {{ SC_(1960.14013671875), SC_(0.9682326984764871443713708725009118516667e848) }}, 
+      {{ SC_(1987.625244140625), SC_(0.8252010696701409604448632584198026007861e860) }}, 
+      {{ SC_(2121.929931640625), SC_(0.1644122120004322809189630355750827856571e919) }}, 
+      {{ SC_(2129.468505859375), SC_(0.3078607683726664945534741803554577395453e922) }}, 
+      {{ SC_(2140.980712890625), SC_(0.3059846959258757487477467065245238848267e927) }}, 
+      {{ SC_(2230.63720703125), SC_(0.2542119875349999176355379625196504093816e966) }}, 
+      {{ SC_(2298.31982421875), SC_(0.6114992506410978259391244796777268178912e995) }}, 
+      {{ SC_(2374.6435546875), SC_(0.830188785884719427191192371811470577614e1028) }}, 
+      {{ SC_(2464.39404296875), SC_(0.7606769935221277835214875514322852420595e1067) }}, 
+      {{ SC_(2607.7314453125), SC_(0.1280208651710915937668281576410585595382e1130) }}, 
+      {{ SC_(2636.01611328125), SC_(0.2434831958141217397564034109022725860803e1142) }}, 
+      {{ SC_(2773.374755859375), SC_(0.1043520151961041658604037267493948608009e1202) }}, 
+      {{ SC_(2789.313720703125), SC_(0.8673924117610746105433718703338830121224e1208) }}, 
+      {{ SC_(3019.807861328125), SC_(0.1014040167380916647540036248296427121987e1309) }}, 
+      {{ SC_(3037.9208984375), SC_(0.7410529098571197987076032731629101798719e1316) }}, 
+      {{ SC_(3134.11962890625), SC_(0.4314033621612001130684487653920208910505e1358) }}, 
+      {{ SC_(3724.306640625), SC_(0.7497114876830077572608496589486939616531e1614) }}, 
+      {{ SC_(3740.94140625), SC_(0.1251252881668710692336811165448253472824e1622) }}, 
+      {{ SC_(3936.630859375), SC_(0.1153573278500689879003545458843117005296e1707) }}, 
+      {{ SC_(3988.202392578125), SC_(0.2841996613630984591213735017628358662044e1729) }}, 
+      {{ SC_(4054.243896484375), SC_(0.1342609828695717510201743140807115713194e1758) }}, 
+      {{ SC_(4142.7724609375), SC_(0.3681572481442059810190451103963992112454e1796) }}, 
+      {{ SC_(4148.5703125), SC_(0.121171581000799833633456183949328398278e1799) }}, 
+      {{ SC_(4615.2646484375), SC_(0.5246465971256288730180022026676777543742e2001) }}, 
+      {{ SC_(4829.25732421875), SC_(0.4325309705481133900503845562540831591495e2094) }}, 
+      {{ SC_(4941.91748046875), SC_(0.357836144515945182929963672150715372631e2143) }}, 
+      {{ SC_(5010.6787109375), SC_(0.2572200946506254896455407953607460924114e2173) }}, 
+      {{ SC_(5116.201171875), SC_(0.1694628673308089036903938764581354437254e2219) }}, 
+      {{ SC_(5253.798828125), SC_(0.9450381302497917822730309088983075713142e2278) }}, 
+      {{ SC_(5257.24560546875), SC_(0.2965383255217071801210759810882002854358e2280) }}, 
+      {{ SC_(5433.140625), SC_(0.7047285278346101208658057139925849862554e2356) }}, 
+      {{ SC_(5505.39013671875), SC_(0.1659005813598457669810325988575538660018e2388) }}, 
+      {{ SC_(5636.36572265625), SC_(0.123483589653905750755240300669656546009e2445) }}, 
+      {{ SC_(5813.45166015625), SC_(0.9674253782674757458616517516767150594778e2521) }}, 
+      {{ SC_(5925.56689453125), SC_(0.465959154348727474260042419560482730271e2570) }}, 
+      {{ SC_(5948.7275390625), SC_(0.5311210417035456841299141336297429192824e2580) }}, 
+      {{ SC_(5971.912109375), SC_(0.6200616140526457518581489641316743841867e2590) }}, 
+      {{ SC_(5980.62060546875), SC_(0.3748467021497618776363280710356423632891e2594) }}, 
+      {{ SC_(6118.67822265625), SC_(0.3323548513925888198554192040808784242521e2654) }}, 
+      {{ SC_(6575.06884765625), SC_(0.4992113296799401332170302610613651749985e2852) }}, 
+      {{ SC_(6578.6494140625), SC_(0.1790887030753559149862073840512717626631e2854) }}, 
+      {{ SC_(7477.7138671875), SC_(0.453063439997264160754767400139975001266e3244) }}, 
+      {{ SC_(7555.90087890625), SC_(0.4053486713272468063037722021443381630624e3278) }}, 
+      {{ SC_(7625.0654296875), SC_(0.4381811161168660111987981480837499404122e3308) }}, 
+      {{ SC_(7721.84619140625), SC_(0.4650783679722625981733974952858145989039e3350) }}, 
+      {{ SC_(7724.62158203125), SC_(0.7459451366176179637703427587587394395181e3351) }}, 
+      {{ SC_(7807.67431640625), SC_(0.8657770283993666196881334661703905178512e3387) }}, 
+      {{ SC_(7967.44287109375), SC_(0.2066376033881102222399296966624611161435e3457) }}, 
+      {{ SC_(7995.15673828125), SC_(0.2237075980936927860568603957470382881289e3469) }}, 
+      {{ SC_(8137.39013671875), SC_(0.1297781899952190216559462644235208641515e3531) }}, 
+      {{ SC_(8255.8466796875), SC_(0.3564079826420461256934314917221024535487e3582) }}, 
+      {{ SC_(8290.892578125), SC_(0.589315461709375088751076327530039211034e3597) }}, 
+      {{ SC_(8464.859375), SC_(0.2061333287437003593390952585665220300663e3673) }}, 
+      {{ SC_(8621.2353515625), SC_(0.1657376800782722410304770650822997699241e3741) }}, 
+      {{ SC_(8647.478515625), SC_(0.4124415895621698868851529362785050121075e3752) }}, 
+      {{ SC_(8769.4912109375), SC_(0.3969329427154640956668041611282529236515e3805) }}, 
+      {{ SC_(8801.736328125), SC_(0.3990244136134911987900607765723496356083e3819) }}, 
+      {{ SC_(8865.2001953125), SC_(0.1445061203725423928848837944828607819372e3847) }}, 
+      {{ SC_(8883.857421875), SC_(0.1826853197788422299249942076987355766608e3855) }}, 
+      {{ SC_(9165.708984375), SC_(0.4515605271244922649573310924321143987289e3977) }}, 
+      {{ SC_(9184.3759765625), SC_(0.5765062048528042160801422542318948604069e3985) }}, 
+      {{ SC_(9197.3115234375), SC_(0.238797240985925516325017189407703419842e3991) }}, 
+      {{ SC_(9219.275390625), SC_(0.8237200206643906423722827693221290304098e4000) }}, 
+      {{ SC_(9226.1259765625), SC_(0.7773715903123152522709440763956473274495e4003) }}, 
+      {{ SC_(9227.998046875), SC_(0.5053244921662419600389850256151955782088e4004) }}, 
+      {{ SC_(9250.9619140625), SC_(0.4737744487728344772209960864307761252156e4014) }}, 
+      {{ SC_(9327.52734375), SC_(0.839334799085535932104716295994462739704e4047) }}, 
+      {{ SC_(9403.482421875), SC_(0.8077630243130543392122877176716464625234e4080) }}, 
+      {{ SC_(9479.298828125), SC_(0.6767729229089682203216741035877315937008e4113) }}, 
+      {{ SC_(9495.71484375), SC_(0.9100734532106930249198078682510663631931e4120) }}, 
+      {{ SC_(9617.6904296875), SC_(0.8449998576157010058160975375848278518588e4173) }}, 
+      {{ SC_(9766.8056640625), SC_(0.4787377238207901984222005262457964596487e4238) }}, 
+      {{ SC_(10012.8486328125), SC_(0.3344992068689187467671400212667671782847e4345) }}, 
+      {{ SC_(10076.2275390625), SC_(0.11136885577784012567387295792753442916e4373) }}, 
+      {{ SC_(10365.1630859375), SC_(0.3293047656065511164747161575530322956908e4498) }}, 
+      {{ SC_(10445.2490234375), SC_(0.1973039455254220882950372775604517375325e4533) }}, 
+      {{ SC_(10470.1669921875), SC_(0.1305681315488859113163146324068469579781e4544) }}, 
+      {{ SC_(10524.4375), SC_(0.4819186831856610440931487751621965500502e4567) }}, 
+      {{ SC_(10662.96875), SC_(0.6928694779347995167937115115212504365928e4627) }}, 
+      {{ SC_(10834.3447265625), SC_(0.1825438577646410483210158166935577469757e4702) }}, 
+      {{ SC_(10907.68359375), SC_(0.1285589751375311174300431256570906461288e4734) }}, 
+      {{ SC_(10911.2724609375), SC_(0.4651411212288175929735371788790669615768e4735) }}, 
+      {{ SC_(10932.240234375), SC_(0.5928423151111867954833915596799084326543e4744) }}, 
+      {{ SC_(10989.22265625), SC_(0.3294826635257870726228138790579703502685e4769) }}, 
+      {{ SC_(11018.8583984375), SC_(0.2439507354669304579499512829726839932215e4782) }}, 
+      {{ SC_(11031.244140625), SC_(0.5832754259182122887134092147181083406225e4787) }}, 
+      {{ SC_(11049.4599609375), SC_(0.474446561495313567373051850934536721701e4795) }}, 
+      {{ SC_(11160.5185546875), SC_(0.8016374991446073482862383560024456346995e4843) }}, 
+      {{ SC_(11284.826171875), SC_(0.7678551455742636373830825128178952778616e4897) }}, 
+      {{ SC_(11297.36328125), SC_(0.2135966594384904628860134271820875984946e4903) }}, 
+      {{ SC_(11322.6318359375), SC_(0.2007326162507306591356341202787380118764e4914) }}
+   }};
+
diff --git a/src/boost/libs/math/test/float128/log1p_expm1_test.cpp b/src/boost/libs/math/test/float128/log1p_expm1_test.cpp
new file mode 100644
index 00000000..79486144
--- /dev/null
+++ b/src/boost/libs/math/test/float128/log1p_expm1_test.cpp
@@ -0,0 +1,79 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+
+#include "table_type.hpp"
+
+#include "libs/math/test/log1p_expm1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      8,                             // Max Peek error
+      5);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp b/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp
new file mode 100644
index 00000000..73972bb7
--- /dev/null
+++ b/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp
@@ -0,0 +1,82 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+
+#include "table_type.hpp"
+
+#include "libs/math/test/powm1_sqrtp1m1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      15,                             // Max Peek error
+      5);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_powm1_sqrtp1m1(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/setup.hpp b/src/boost/libs/math/test/float128/setup.hpp
new file mode 100644
index 00000000..f71f5c98
--- /dev/null
+++ b/src/boost/libs/math/test/float128/setup.hpp
@@ -0,0 +1,29 @@
+//  Copyright 2014 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#ifndef BOOST_MP_MATH_SETUP_HPP
+#define BOOST_MP_MATH_SETUP_HPP
+
+#ifdef _MSC_VER
+#  define _SCL_SECURE_NO_WARNINGS
+#endif
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/cstdfloat.hpp>
+#include <boost/static_assert.hpp>
+
+#define ALL_TESTS    test(boost::floatmax_t(0), "boost::floatmax_t");
+typedef boost::floatmax_t test_type_1;
+   
+BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::floatmax_t>::digits == 113, "These tests should only be run for 128-bit floating point types.");
+
+#ifndef BOOST_MATH_TEST_TYPE
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#endif
+
+#endif
+
diff --git a/src/boost/libs/math/test/float128/table_type.hpp b/src/boost/libs/math/test/float128/table_type.hpp
new file mode 100644
index 00000000..6560762d
--- /dev/null
+++ b/src/boost/libs/math/test/float128/table_type.hpp
@@ -0,0 +1,13 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2012 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#ifndef BOOST_MP_TABLE_TYPE
+
+#include <libs/math/test/table_type.hpp>
+
+#define SC_(x) BOOST_FLOATMAX_C(x)
+
+#endif
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_i.cpp b/src/boost/libs/math/test/float128/test_bessel_i.cpp
new file mode 100644
index 00000000..952cc9d6
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_i.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_i.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      500,                           // Max Peek error
+      200);                          // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_j.cpp b/src/boost/libs/math/test/float128/test_bessel_j.cpp
new file mode 100644
index 00000000..7afeeebe
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_j.cpp
@@ -0,0 +1,81 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_j.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 10000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*JN.*Integer.*",              // test data group
+      ".*", 50000, 15000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*(JN|j).*|.*Tricky.*",       // test data group
+      ".*", 7000, 3000);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_k.cpp b/src/boost/libs/math/test/float128/test_bessel_k.cpp
new file mode 100644
index 00000000..a5ec1e2b
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_k.cpp
@@ -0,0 +1,58 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_k.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 80, 50);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000, 500);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_y.cpp b/src/boost/libs/math/test/float128/test_bessel_y.cpp
new file mode 100644
index 00000000..55bdf56e
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_y.cpp
@@ -0,0 +1,72 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_y.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*(Y[nv]|y).*Random.*",       // test data group
+      ".*", 70000, 4000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Y0.*",                      // test data group
+      ".*", 800, 400);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Yn.*",                      // test data group
+      ".*", 1700, 600);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                         // test type(s)
+      ".*",                          // test data group
+      ".*", 150, 60);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_beta.cpp b/src/boost/libs/math/test/float128/test_beta.cpp
new file mode 100644
index 00000000..6cfddd56
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_beta.cpp
@@ -0,0 +1,65 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_beta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 8, 5);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 1000, 750); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 1000, 700);   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_binomial_coeff.cpp b/src/boost/libs/math/test/float128/test_binomial_coeff.cpp
new file mode 100644
index 00000000..be208f4f
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_binomial_coeff.cpp
@@ -0,0 +1,52 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/binomial.hpp>
+#include "libs/math/test/test_binomial_coeff.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 100, 20);                // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_binomial(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_carlson.cpp b/src/boost/libs/math/test/float128/test_carlson.cpp
new file mode 100644
index 00000000..14584937
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_carlson.cpp
@@ -0,0 +1,57 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#include "libs/math/test/test_carlson.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*RJ.*",                      // test data group
+      ".*", 2700, 250);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_cbrt.cpp b/src/boost/libs/math/test/float128/test_cbrt.cpp
new file mode 100644
index 00000000..d6690bdd
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_cbrt.cpp
@@ -0,0 +1,46 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/cbrt.hpp>
+#include "libs/math/test/test_cbrt.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_cbrt(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_digamma.cpp b/src/boost/libs/math/test/float128/test_digamma.cpp
new file mode 100644
index 00000000..9856223b
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_digamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/digamma.hpp>
+#include "libs/math/test/test_digamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_digamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_1.cpp b/src/boost/libs/math/test/float128/test_ellint_1.cpp
new file mode 100644
index 00000000..5c259e94
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_1.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "libs/math/test/test_ellint_1.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_2.cpp b/src/boost/libs/math/test/float128/test_ellint_2.cpp
new file mode 100644
index 00000000..8b051246
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_2.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "libs/math/test/test_ellint_2.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 300, 200);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_3.cpp b/src/boost/libs/math/test/float128/test_ellint_3.cpp
new file mode 100644
index 00000000..e4626838
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_3.cpp
@@ -0,0 +1,58 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "libs/math/test/test_ellint_3.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Large.*",                   // test data group
+      ".*", 75, 40);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 600, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 60, 30);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_erf.cpp b/src/boost/libs/math/test/float128/test_erf.cpp
new file mode 100644
index 00000000..90efd139
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_erf.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+#define TEST_UDT
+
+#include <boost/math/special_functions/erf.hpp>
+#include "libs/math/test/test_erf.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 2500, 1000); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erf.*",               // test data group
+      "erfc?_inv", 60, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_erf(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_expint.cpp b/src/boost/libs/math/test/float128/test_expint.cpp
new file mode 100644
index 00000000..73a1f6bb
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_expint.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/expint.hpp>
+#include "libs/math/test/test_expint.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 2000);                // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_expint(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_factorials.cpp b/src/boost/libs/math/test/float128/test_factorials.cpp
new file mode 100644
index 00000000..36349fce
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_factorials.cpp
@@ -0,0 +1,296 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4245) // int/unsigned int conversion
+#endif
+
+// Return infinities not exceptions:
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/cstdfloat.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/factorials.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <iostream>
+  using std::cout;
+  using std::endl;
+
+template <class T>
+T naive_falling_factorial(T x, unsigned n)
+{
+   if(n == 0)
+      return 1;
+   T result = x;
+   while(--n)
+   {
+      x -= 1;
+      result *= x;
+   }
+   return result;
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks.
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 * 2;  // 2 eps as a percent.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+
+   //
+   // Try some double factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(2),
+      static_cast<T>(2), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(5),
+      static_cast<T>(15), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(10),
+      static_cast<T>(3840), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(19),
+      static_cast<T>(6.547290750e8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(24),
+      static_cast<T>(1.961990553600000e12Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(33),
+      static_cast<T>(6.33265987076285062500000e18Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(42),
+      static_cast<T>(1.0714547155728479551488000000e26Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(47),
+      static_cast<T>(1.19256819277443412353990764062500000e30Q), tolerance);
+
+   if((std::numeric_limits<T>::has_infinity) && (std::numeric_limits<T>::max_exponent <= 1024))
+   {
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(320),
+         std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(301),
+         std::numeric_limits<T>::infinity());
+   }
+   //
+   // Rising factorials:
+   //
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   if(std::numeric_limits<T>::is_specialized == 0)
+      tolerance *= 5;  // higher error rates without Lanczos support
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(3), 4),
+      static_cast<T>(360), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(7), -4),
+      static_cast<T>(0.00277777777777777777777777777777777777777777777777777777777778Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), 8),
+      static_cast<T>(5.58187566784927180664062500e16Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), -4),
+      static_cast<T>(5.15881498170104646868208445266116850161120996179812063177241e-9Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), 8),
+      static_cast<T>(3.92974581976666067544013393509103775024414062500000e29Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), -7),
+      static_cast<T>(1.28674092710208810281923019294164707555099052561945725535047e-26Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), 21),
+      static_cast<T>(3.93286957998925490693364184100209193343633629069699964020401e33Q), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), -21),
+      static_cast<T>(3.35010902064291983728782493133164809108646650368560147505884e-27Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 21),
+      static_cast<T>(-9.76168312768123676601980433377916854311706629232503473758698e26Q), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -21),
+      static_cast<T>(-1.50079704000923674318934280259377728203516775215430875839823e-34Q), 2 * tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 5),
+      static_cast<T>(-1.78799177197265625000000e7Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -5),
+      static_cast<T>(-2.47177487004482195012362027432181137141899692171397467859150e-8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 6),
+      static_cast<T>(4.5146792242309570312500000e8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -6),
+      static_cast<T>(6.81868929667537089689274558433603136943171564610751635473516e-10Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3), 6),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), 6),
+      static_cast<T>(2.99926757812500Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 6),
+      static_cast<T>(50.987548828125000000000000Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 13),
+      static_cast<T>(127230.91046623885631561279296875000Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), -6),
+      static_cast<T>(0.0000129609865918182348202632178291407500332449622510474437452125Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -6),
+      static_cast<T>(2.50789821857946332294524052303699065683926911849535903362649e-6Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -13),
+      static_cast<T>(-1.38984989447269128946284683518361786049649013886981662962096e-14Q), tolerance);
+
+   //
+   // Falling factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 0),
+      static_cast<T>(naive_falling_factorial(30.25Q, 0)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 1),
+      static_cast<T>(naive_falling_factorial(30.25Q, 1)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 2),
+      static_cast<T>(naive_falling_factorial(30.25Q, 2)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 5),
+      static_cast<T>(naive_falling_factorial(30.25Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 22),
+      static_cast<T>(naive_falling_factorial(30.25Q, 22)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(100.5), 6),
+      static_cast<T>(naive_falling_factorial(100.5Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.75), 30),
+      static_cast<T>(naive_falling_factorial(30.75Q, 30)),
+      tolerance * 3);
+   if(boost::math::policies::digits<T, boost::math::policies::policy<> >() > 50)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75Q), 30),
+         static_cast<T>(naive_falling_factorial(-30.75Q, 30)),
+         tolerance * 3);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75Q), 27),
+         static_cast<T>(naive_falling_factorial(-30.75Q, 27)),
+         tolerance * 3);
+   }
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12.0), 6),
+      static_cast<T>(naive_falling_factorial(-12.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12), 5),
+      static_cast<T>(naive_falling_factorial(-12.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3.0), 6),
+      static_cast<T>(naive_falling_factorial(-3.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3), 5),
+      static_cast<T>(naive_falling_factorial(-3.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.0), 6),
+      static_cast<T>(naive_falling_factorial(3.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3), 5),
+      static_cast<T>(naive_falling_factorial(3.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 4),
+      static_cast<T>(naive_falling_factorial(3.25Q, 4)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 5),
+      static_cast<T>(naive_falling_factorial(3.25Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 6),
+      static_cast<T>(naive_falling_factorial(3.25Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 7),
+      static_cast<T>(naive_falling_factorial(3.25Q, 7)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(8.25), 12),
+      static_cast<T>(naive_falling_factorial(8.25Q, 12)),
+      tolerance);
+
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   unsigned i = boost::math::max_factorial<T>::value;
+   if((boost::is_floating_point<T>::value) && (sizeof(T) <= sizeof(double)))
+   {
+      // Without Lanczos support, tgamma isn't accurate enough for this test:
+      BOOST_CHECK_CLOSE(
+         ::boost::math::unchecked_factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+   }
+
+   i += 10;
+   while(boost::math::lgamma(static_cast<T>(i+1)) < boost::math::tools::log_max_value<T>())
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+      i += 10;
+   }
+} // template <class T> void test_spots(T)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0Q);
+   cout << "max factorial for __float128"  << boost::math::max_factorial<boost::floatmax_t>::value  << endl;
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_gamma.cpp b/src/boost/libs/math/test/float128/test_gamma.cpp
new file mode 100644
index 00000000..ddaae2ad
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_gamma.cpp
@@ -0,0 +1,65 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_gamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 200, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "near.*",                      // test data group
+      "lgamma", 10000000, 10000000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 1000, 150);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "tgamma", 40, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_hermite.cpp b/src/boost/libs/math/test/float128/test_hermite.cpp
new file mode 100644
index 00000000..f933c6d2
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_hermite.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hermite.hpp>
+#include "libs/math/test/test_hermite.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "hermite", 10, 5);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_hermite(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta.cpp b/src/boost/libs/math/test/float128/test_ibeta.cpp
new file mode 100644
index 00000000..708a6950
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 150, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*large.*",                  // test data group
+      ".*", 150000, 5000);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp b/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp
new file mode 100644
index 00000000..68049024
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta_inv.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000000, 100000);        // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp b/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp
new file mode 100644
index 00000000..3e0bc858
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp
@@ -0,0 +1,54 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+#define TEST_UDT
+
+#define TEST_DATA 4
+#define FULL_TEST
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta_inv_ab.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 10000, 1000);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma.cpp b/src/boost/libs/math/test/float128/test_igamma.cpp
new file mode 100644
index 00000000..d5332548
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 20000000L, 1000000L);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma_inv.cpp b/src/boost/libs/math/test/float128/test_igamma_inv.cpp
new file mode 100644
index 00000000..122db9d4
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma_inv.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma_inv.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*small.*",                   // test data group
+      ".*", 10000000L, 2500000L);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma_inva.cpp b/src/boost/libs/math/test/float128/test_igamma_inva.cpp
new file mode 100644
index 00000000..0a244c2f
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma_inva.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma_inva.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_laguerre.cpp b/src/boost/libs/math/test/float128/test_laguerre.cpp
new file mode 100644
index 00000000..04ae016b
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_laguerre.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/laguerre.hpp>
+#include "libs/math/test/test_laguerre.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 500);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_laguerre(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_legendre.cpp b/src/boost/libs/math/test/float128/test_legendre.cpp
new file mode 100644
index 00000000..463c2d90
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_legendre.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/legendre.hpp>
+#include "libs/math/test/test_legendre.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 6000, 500);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_legendre_p(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_polygamma.cpp b/src/boost/libs/math/test/float128/test_polygamma.cpp
new file mode 100644
index 00000000..e62cef9a
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_polygamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/polygamma.hpp>
+#include "libs/math/test/test_polygamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 40000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 700, 400);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_polygamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_std_lib.cpp b/src/boost/libs/math/test/float128/test_std_lib.cpp
new file mode 100644
index 00000000..de42c105
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_std_lib.cpp
@@ -0,0 +1,241 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/cstdfloat.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <iostream>
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   //
+   // Basic tests that the functions which provide std lib supported are correctly wrapped:
+   //
+   boost::float128_t tol = std::numeric_limits<boost::float128_t>::epsilon() * 4;
+   boost::float128_t pi = BOOST_FLOAT128_C(3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211);
+
+
+   BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
+
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(1.31811607165281796574566425464604046984639096659071471685355), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(1.82347658193697527271697912863346241435077843278439110412140), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.722734247813415611178377352641333362025218486424440267626754), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(2.41885840577637762728426603063816952217195091295066555334819), tol);
+   BOOST_CHECK_EQUAL(std::acos(BOOST_FLOAT128_C(1.0)), 0);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.25268025514207865348565743699371097225219373309683819363392), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.252680255142078653485657436993710972252193733096838193633924), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.848062078981481008052944338998418080073366213263112642860718), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.848062078981481008052944338998418080073366213263112642860718), tol);
+   BOOST_CHECK_EQUAL(std::asin(BOOST_FLOAT128_C(0.0)), 0);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(1.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(1.25)), BOOST_FLOAT128_C(0.896055384571343956174800718029937827024578444846840487366551), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-1.25)), BOOST_FLOAT128_C(-0.896055384571343956174800718029937827024578444846840487366551), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(10.25)), BOOST_FLOAT128_C(1.47354312854333084551799286825415639734160148773878671550090), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-10.25)), BOOST_FLOAT128_C(-1.47354312854333084551799286825415639734160148773878671550090), tol);
+   BOOST_CHECK_EQUAL(std::atan(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376) + pi, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376) - pi, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(2.0), BOOST_FLOAT128_C(0.0)), pi / 2, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-2.0), BOOST_FLOAT128_C(0.0)), -pi / 2, tol);
+   BOOST_CHECK_EQUAL(std::atan2(BOOST_FLOAT128_C(0.0), BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(0.0));
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.479425538604203000273287935215571388081803367940600675188617), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.479425538604203000273287935215571388081803367940600675188617), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.997494986604054430941723371141487322706651425922115821949975), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.997494986604054430941723371141487322706651425922115821949975), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.350783227689619848120368800043635585084981735940583485415755), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(0.350783227689619848120368800043635585084981735940583485415755), tol);
+   BOOST_CHECK_EQUAL(std::sin(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
+   BOOST_CHECK_EQUAL(std::cos(BOOST_FLOAT128_C(0.0)), 1.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.546302489843790513255179465780285383297551720179791246164091), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.546302489843790513255179465780285383297551720179791246164091), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(14.1014199471717193876460836519877564456595435772358618661233), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-14.1014199471717193876460836519877564456595435772358618661233), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.374585640158594666330512579989147388450882284289259230693023), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.374585640158594666330512579989147388450882284289259230693023), tol);
+   BOOST_CHECK_EQUAL(std::tan(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.521095305493747361622425626411491559105928982611480527946094), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.521095305493747361622425626411491559105928982611480527946094), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.12927945509481749683438749467763164883178911950429386401441), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-2.12927945509481749683438749467763164883178911950429386401441), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5426272876349976249567315290124982237000338471151419910948), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-16.5426272876349976249567315290124982237000338471151419910948), tol);
+   BOOST_CHECK_EQUAL(std::sinh(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
+   BOOST_CHECK_EQUAL(std::cosh(BOOST_FLOAT128_C(0.0)), 1.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.462117157260009758502318483643672548730289280330113038552732), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.462117157260009758502318483643672548730289280330113038552732), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.905148253644866438242303696456495597227641135158781798564224), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.905148253644866438242303696456495597227641135158781798564224), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.998177897611198709284273352450611717351703879477362867150362), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.998177897611198709284273352450611717351703879477362867150362), tol);
+   BOOST_CHECK_EQUAL(std::tanh(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.481211825059603447497758913424368423135184334385660519661018), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.481211825059603447497758913424368423135184334385660519661018), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(1.19476321728710930411193082851909052353616207515300542927068), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-1.19476321728710930411193082851909052353616207515300542927068), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11114250086321582491802557961818852029252495243356752882371), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-30.5)), BOOST_FLOAT128_C(-4.11114250086321582491802557961818852029252495243356752882371), tol * 40); // extra tolerance required on Mingw-x64 at least
+   BOOST_CHECK_EQUAL(std::asinh(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.962423650119206894995517826848736846270368668771321039322036), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11060501081175314729512161636335880294693070089674383785623), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(3000.5)), BOOST_FLOAT128_C(8.69968137322099085819002231042463682720224626990472395734493), tol);
+   BOOST_CHECK_EQUAL(std::acosh(BOOST_FLOAT128_C(1.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.549306144334054845697622618461262852323745278911374725867347), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.549306144334054845697622618461262852323745278911374725867347), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.972955074527656652552676371721589864818542364790930594229695), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.972955074527656652552676371721589864818542364790930594229695), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.125)), BOOST_FLOAT128_C(0.125657214140453038842568865200935839828948193031818857504999), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.125)), BOOST_FLOAT128_C(-0.125657214140453038842568865200935839828948193031818857504999), tol);
+   BOOST_CHECK_EQUAL(std::atanh(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_EQUAL(std::ldexp(BOOST_FLOATMAX_C(2.5), 2), 2.5 * 4);
+   int i;
+   BOOST_CHECK_EQUAL(std::frexp(BOOST_FLOATMAX_C(16.0), &i), BOOST_FLOATMAX_C(0.5));
+   BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(2.5)), 2);
+   BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(-2.5)), -3);
+   BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(2.5)), 3);
+   BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(-2.5)), -2);
+   BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(2.5)), 2);
+   BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(-2.5)), -2);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sqrt(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(1.41421356237309504880168872420969807856967187537694807317668), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2.0)), 1 / BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2000.0)), 1 / BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
+   BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), BOOST_FLOAT128_C(2.5)), BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), -BOOST_FLOAT128_C(2.5)), 1 / BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.693147180559945309417232121458176568075500134360255254120680), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(7.60090245954208236147120648551126919087880460024657418222066), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.301029995663981195213738894724493026768189881462108541310427), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.30102999566398119521373889472449302676818988146210854131043), tol);
+
+   BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
+   //
+   // Basic tests of complex number support:
+   //
+   std::complex<boost::floatmax_t> cm(2.5, 3.5);
+   std::complex<double> cd(2.5, 3.5);
+   BOOST_CHECK_EQUAL(real(cm), BOOST_FLOATMAX_C(2.5));
+   BOOST_CHECK_EQUAL(imag(cm), BOOST_FLOATMAX_C(3.5));
+   BOOST_CHECK_CLOSE_FRACTION(abs(cm), std::sqrt(real(cm) * real(cm) + imag(cm) * imag(cm)), tol);
+   BOOST_CHECK_CLOSE_FRACTION(arg(cm), std::atan2(imag(cm), real(cm)), tol);
+   BOOST_CHECK_EQUAL(norm(cm), norm(cd));
+   BOOST_CHECK_EQUAL(conj(cm), std::complex<boost::floatmax_t>(2.5, -3.5));
+   BOOST_CHECK_EQUAL(proj(cm), cm);
+   if (std::numeric_limits<boost::floatmax_t>::has_infinity)
+   {
+      boost::floatmax_t m = (std::numeric_limits<boost::floatmax_t>::max)();
+      boost::floatmax_t n = (std::numeric_limits<boost::floatmax_t>::quiet_NaN)();
+      boost::floatmax_t i = std::numeric_limits<boost::floatmax_t>::infinity();
+      std::complex<boost::floatmax_t> ci(i, 0);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, 2.5)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, -2.5)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, 2.5)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, -2.5)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -i)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -i)), std::conj(ci));
+      // If there's a NaN and an infinity, then we treat it as an infinity:
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, n)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, n)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, -i)), std::conj(ci));
+      // Maximum values should not be detected as infinities:
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, 2.5)), std::complex<boost::floatmax_t>(m, 2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, -2.5)), std::complex<boost::floatmax_t>(m, -2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, 2.5)), std::complex<boost::floatmax_t>(-m, 2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, -2.5)), std::complex<boost::floatmax_t>(-m, -2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, m)), std::complex<boost::floatmax_t>(2.5, m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, m)), std::complex<boost::floatmax_t>(-2.5, m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -m)), std::complex<boost::floatmax_t>(2.5, -m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -m)), std::complex<boost::floatmax_t>(-2.5, -m));
+   }
+   BOOST_CHECK_CLOSE_FRACTION(real(cm), real(std::polar(abs(cm), arg(cm))), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cm), imag(std::polar(abs(cm), arg(cm))), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(sqrt(cm)), BOOST_FLOATMAX_C(1.84406651636014927478967924702313083926924795108746617689331), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sqrt(cm)), BOOST_FLOATMAX_C(0.94898962942734874384477674565646902214428238312030745589860), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(sin(cm)), BOOST_FLOATMAX_C(9.9183739147466194779705692590714075536609528502804512321829), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sin(cm)), BOOST_FLOATMAX_C(-13.2530202358612673933065316490414418905222985108088743924151), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(cos(cm)), BOOST_FLOATMAX_C(-13.2772126767962806757640045050809172681765101364150115572273), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cos(cm)), BOOST_FLOATMAX_C(-9.9003016219435352532718399415663308886142356901813313808396), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(tan(cm)), BOOST_FLOATMAX_C(-0.001747945781533807475041571346335555146588886236426940282142), 100 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(tan(cm)), BOOST_FLOATMAX_C(0.999481272866023968509371163341197364669909311495225118348783), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(asin(cm)), BOOST_FLOATMAX_C(0.60763873377718961061236721540807625716707363115177473522038), 3 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(asin(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(acos(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(acos(cm)), BOOST_FLOATMAX_C(-2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(atan(cm)), BOOST_FLOATMAX_C(1.43164649729234094356720655652341656334194939189977737526797), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(atan(cm)), BOOST_FLOATMAX_C(0.18785402217098027123573761814417062282719376109354553980571), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(exp(cm)), BOOST_FLOATMAX_C(-11.40837793738050755301628098123357473395267691300165885963084), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(exp(cm)), BOOST_FLOATMAX_C(-4.27341455284486523762268047763120025488336663280501044879428), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(log(cm)), BOOST_FLOATMAX_C(1.45888536604213956747543177478663529791228872640369045476212), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(log(cm)), BOOST_FLOATMAX_C(0.95054684081207514789478913546381917504767901030880427426177), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, cm)), BOOST_FLOATMAX_C(0.500085941796692509786065254311643761781309406813392318413211), 3 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, cm)), BOOST_FLOATMAX_C(1.2835619023632800631240903890826362708871896445947786884), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, 45)), BOOST_FLOATMAX_C(1.15295630001810518909457669488131135702133178710937500000000e28), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, 45)), BOOST_FLOATMAX_C(-3.03446103291767290317331113291188915967941284179687500000000e28), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.0001033088262386741675929555572265687059620746178809486273109638), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.000036807924520680371147635577932953977554657684086220380643819), 10*tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-6.10574617260000071495777483951769228578270070743952693687), 500*tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-2571.59829653692515304089117319850284971907684832627401081405), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(sinh(cm)), BOOST_FLOATMAX_C(-5.66575444574645085564435171738630834083691435582030649964506), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sinh(cm)), BOOST_FLOATMAX_C(-2.15110429680352723029881676360397937637837569516923953471257), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(cosh(cm)), BOOST_FLOATMAX_C(-5.74262349163405669737192926384726639311576255718135235998578), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cosh(cm)), BOOST_FLOATMAX_C(-2.12231025604133800732386371402722087850499093763577091408171), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(tanh(cm)), BOOST_FLOATMAX_C(0.989853240015864535514963496600761619743140454542828561309980), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(tanh(cm)), BOOST_FLOATMAX_C(0.008764045495134631601280624388444235039135499546704045953309), 12 * tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(asinh(cm)), BOOST_FLOATMAX_C(2.14787287976856126021628946626513750583054633606189652982666), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(asinh(cm)), BOOST_FLOATMAX_C(0.93760050284009400234857022775555923392488940926800031416598), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(acosh(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(acosh(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(atanh(cm)), BOOST_FLOATMAX_C(0.131131117031038145756858363631111963444914136310244574499277), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(atanh(cm)), BOOST_FLOATMAX_C(1.380543138238714176079527733234534889849881842858502491699319), 12 * tol);
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp b/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp
new file mode 100644
index 00000000..9d2568f5
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_tgamma_ratio.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2000, 500);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_tgamma_ratio(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_trigamma.cpp b/src/boost/libs/math/test/float128/test_trigamma.cpp
new file mode 100644
index 00000000..8862b53d
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_trigamma.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/trigamma.hpp>
+#include "libs/math/test/test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_trigamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_zeta.cpp b/src/boost/libs/math/test/float128/test_zeta.cpp
new file mode 100644
index 00000000..4dcdf19c
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_zeta.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/zeta.hpp>
+#include "libs/math/test/test_zeta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000, 200);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_zeta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/functor.hpp b/src/boost/libs/math/test/functor.hpp
new file mode 100644
index 00000000..bb0f8645
--- /dev/null
+++ b/src/boost/libs/math/test/functor.hpp
@@ -0,0 +1,213 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/trunc.hpp>
+
+
+#ifndef BOOST_MATH_TEST_FUNCTOR_HPP
+#define BOOST_MATH_TEST_FUNCTOR_HPP
+
+template <class Real>
+struct extract_result_type
+{
+   extract_result_type(unsigned i) : m_location(i){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return row[m_location];
+   }
+private:
+   unsigned m_location;
+};
+
+template <class Real>
+inline extract_result_type<Real> extract_result(unsigned i)
+{
+   return extract_result_type<Real>(i);
+}
+
+template <class Real, class F>
+struct row_binder1
+{
+   row_binder1(F _f, unsigned i) : f(_f), m_i(i) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i]);
+   }
+
+private:
+   F f;
+   unsigned m_i;
+};
+
+template<class Real, class F>
+inline row_binder1<Real, F> bind_func(F f, unsigned i)
+{
+   return row_binder1<Real, F>(f, i);
+}
+
+template <class Real, class F>
+struct row_binder2
+{
+   row_binder2(F _f, unsigned i, unsigned j) : f(_f), m_i(i), m_j(j) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j;
+};
+
+template<class Real, class F>
+inline row_binder2<Real, F> bind_func(F f, unsigned i, unsigned j)
+{
+   return row_binder2<Real, F>(f, i, j);
+}
+
+template <class Real, class F>
+struct row_binder3
+{
+   row_binder3(F _f, unsigned i, unsigned j, unsigned k) : f(_f), m_i(i), m_j(j), m_k(k) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j], row[m_k]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k;
+};
+
+template<class Real, class F>
+inline row_binder3<Real, F> bind_func(F f, unsigned i, unsigned j, unsigned k)
+{
+   return row_binder3<Real, F>(f, i, j, k);
+}
+
+template <class Real, class F>
+struct row_binder4
+{
+   row_binder4(F _f, unsigned i, unsigned j, unsigned k, unsigned l) : f(_f), m_i(i), m_j(j), m_k(k), m_l(l) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j], row[m_k], row[m_l]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k, m_l;
+};
+
+template<class Real, class F>
+inline row_binder4<Real, F> bind_func(F f, unsigned i, unsigned j, unsigned k, unsigned l)
+{
+   return row_binder4<Real, F>(f, i, j, k, l);
+}
+
+template <class Real, class F>
+struct row_binder2_i1
+{
+   row_binder2_i1(F _f, unsigned i, unsigned j) : f(_f), m_i(i), m_j(j) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(boost::math::itrunc(Real(row[m_i])), row[m_j]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j;
+};
+
+template<class Real, class F>
+inline row_binder2_i1<Real, F> bind_func_int1(F f, unsigned i, unsigned j)
+{
+   return row_binder2_i1<Real, F>(f, i, j);
+}
+
+template <class Real, class F>
+struct row_binder3_i2
+{
+   row_binder3_i2(F _f, unsigned i, unsigned j, unsigned k) : f(_f), m_i(i), m_j(j), m_k(k) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(
+         boost::math::itrunc(Real(row[m_i])), 
+         boost::math::itrunc(Real(row[m_j])),
+         row[m_k]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k;
+};
+
+template<class Real, class F>
+inline row_binder3_i2<Real, F> bind_func_int2(F f, unsigned i, unsigned j, unsigned k)
+{
+   return row_binder3_i2<Real, F>(f, i, j, k);
+}
+
+template <class Real, class F>
+struct row_binder4_i2
+{
+   row_binder4_i2(F _f, unsigned i, unsigned j, unsigned k, unsigned l) : f(_f), m_i(i), m_j(j), m_k(k), m_l(l) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(
+         boost::math::itrunc(Real(row[m_i])), 
+         boost::math::itrunc(Real(row[m_j])),
+         row[m_k],
+         row[m_l]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k, m_l;
+};
+
+template<class Real, class F>
+inline row_binder4_i2<Real, F> bind_func_int2(F f, unsigned i, unsigned j, unsigned k, unsigned l)
+{
+   return row_binder4_i2<Real, F>(f, i, j, k, l);
+}
+
+template <class Real, class F>
+struct negate_type
+{
+   negate_type(F f) : m_f(f){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return -Real(m_f(row));
+   }
+private:
+   F m_f;
+};
+
+template <class Real, class F>
+inline negate_type<Real, F> negate(F f)
+{
+   return negate_type<Real, F>(f);
+}
+
+#endif
diff --git a/src/boost/libs/math/test/gamma_inv_big_data.ipp b/src/boost/libs/math/test/gamma_inv_big_data.ipp
new file mode 100644
index 00000000..c1ef4677
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_big_data.ipp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 130> gamma_inv_big_data = { {
+      {{ SC_(464.56927490234375), SC_(0.12698681652545928955078125), SC_(440.0905015614498663381793089656310373835539712118699915057655756381750702144551901256933419148259778), SC_(489.2489328115381710888005650788332818303123263238882523231037266766796974176786885492715539575179927) }}, 
+      {{ SC_(464.56927490234375), SC_(0.135477006435394287109375), SC_(440.9201626373476098986751145295281211597851207555116002836559277456581502883881279408150408804624974), SC_(488.3596775997958518494466317847702951287228545295142304855338082929544530999908165788368449119633373) }}, 
+      {{ SC_(464.56927490234375), SC_(0.22103404998779296875), SC_(447.8707097559117500373730010123474103179731538915785876172851019700931527209673015311979439047788638), SC_(480.9951697728710868281134950146803822897647194680614404153327850687509247330919989892805468881282719) }}, 
+      {{ SC_(464.56927490234375), SC_(0.308167040348052978515625), SC_(453.5243991344879957369314553806138325182261928645340021307574697842383156443940903587657239443012288), SC_(475.1149279136111828287528971449692848991760379145030491172523136909085503134739001275580865573262267) }}, 
+      {{ SC_(464.56927490234375), SC_(0.6323592662811279296875), SC_(471.5586320968249281038445929212575977142103853999994962593917575305139999808448747718468071828960383), SC_(456.9895432265540105242329036050454287207764722373079606619854048979024366594658280592117689264157992) }}, 
+      {{ SC_(464.56927490234375), SC_(0.814723670482635498046875), SC_(483.7962479352174443104604814361337114707603182758678093812861642605333000597647127303417718754975292), SC_(445.2102204107761028803290781726535172344996283727995749912027305150811353997318714622791119089755303) }}, 
+      {{ SC_(464.56927490234375), SC_(0.835008561611175537109375), SC_(485.5413501990585182267303678139012739812082864500829920491986081765032489089832623030329596860813566), SC_(443.563211692283275278200948788175382734228099875239143691921387947329995022394758603528566488084557) }}, 
+      {{ SC_(464.56927490234375), SC_(0.905791938304901123046875), SC_(493.1530014001506637843558286915347874415133013116095848032725512370251487272101090417362802627532), SC_(436.4721607137502194476515600944759096109462004602962052350793459815125792956858001222848555476140453) }}, 
+      {{ SC_(464.56927490234375), SC_(0.9133758544921875), SC_(494.1980223559677419266737342424067342426878050583575377942941770747042395000546795305409031642061286), SC_(435.5102279299145333712817106435136572491533987684414157140918464149027877988350441152775081891128202) }}, 
+      {{ SC_(464.56927490234375), SC_(0.968867778778076171875), SC_(505.5712348542740722018328982886099757924348908530379539931536263900192339710371141619690805609322114), SC_(425.2177557338328763751700654579137573643963906759571233052948938600914520447536651895743912216230868) }}, 
+      {{ SC_(581.3642578125), SC_(0.12698681652545928955078125), SC_(553.9669793782038068678935676734904494531472719532817972687153514964534286624955148869921984604413705), SC_(608.9624188837483057145747405401351852945713877500076249931706854984537278152556192058495450356661075) }}, 
+      {{ SC_(581.3642578125), SC_(0.135477006435394287109375), SC_(554.8986621587098884100882390919729772471677865482900127899068620712298280708065488221682075356651129), SC_(607.9711405772914939464180467890095695334450990881469482983020058157368245651758798593316096874550468) }}, 
+      {{ SC_(581.3642578125), SC_(0.22103404998779296875), SC_(562.6989508379479360762737530017662823397707943257475597443912537342208024566957230695521899983347868), SC_(599.7568829483629048923260578901093044774886065740947188058513300551937073309051987160205195739811767) }}, 
+      {{ SC_(581.3642578125), SC_(0.308167040348052978515625), SC_(569.0374062500558452762422305261339987947322576241495557758885978701225529419403450771958235312394718), SC_(593.191871592557187889891303913053953793280772650663480941873292317612622398375064237989516603392702) }}, 
+      {{ SC_(581.3642578125), SC_(0.6323592662811279296875), SC_(589.2186806341801070520302845910583423903524143672474575926325599791162545901801711272745264959036703), SC_(572.9194442994055998344224745611620692130093494754880686659071973997039947893559220289586718667113235) }}, 
+      {{ SC_(581.3642578125), SC_(0.814723670482635498046875), SC_(602.8821834284482585691264752294355355054448218400550509491940689285405704202939688051624635513663289), SC_(559.7142416966026142699409579688200021128645733168138617853078743374086688135798773103892188217158995) }}, 
+      {{ SC_(581.3642578125), SC_(0.835008561611175537109375), SC_(604.828643910421477172904091611031783808541641171718978680317644118217631106164554044832916318314536), SC_(557.8658766883129854673479272570045089935130097354126524991225881637889319445059039834646698913385156) }}, 
+      {{ SC_(581.3642578125), SC_(0.905791938304901123046875), SC_(613.3129282087309383781017594217145054083831628491043296373214531659991173365355850527876757575909822), SC_(549.9022051711790846699713504466950223326019400934082404934885928594446512232330430586772029938196745) }}, 
+      {{ SC_(581.3642578125), SC_(0.9133758544921875), SC_(614.4770468653682831072313903473820106979961810147208338352666609984349886811227288705529284870561508), SC_(548.8211770528904363817509904880593930190623124578155064175427290011681864479910298041022961043374652) }}, 
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+      {{ SC_(106978.296875), SC_(0.308167040348052978515625), SC_(106814.1655385261881930404229732982932315967031144349630174728684365233416506163298048686969756243235), SC_(107141.9289142929117445526105750926681991067546071431542916760994950589383960650401663422672269967697) }}, 
+      {{ SC_(106978.296875), SC_(0.6323592662811279296875), SC_(107088.5883939339366789132635543218784222126363076723929464152640936921360514979892904256754782836202), SC_(106867.4149012959514842871740820819912876035326559814362503394815886893461205537905345858197524921503) }}, 
+      {{ SC_(106978.296875), SC_(0.814723670482635498046875), SC_(107271.1062601546124727026601294184511892667252827484197615804221472642319275593094402184268802800732), SC_(106685.355363598826654695221788222612153635895098179662024013576731553208328075853329795574072474843) }}, 
+      {{ SC_(106978.296875), SC_(0.835008561611175537109375), SC_(107296.8992994913869402418466674420311219379899864632641552560933440701747303396252073712935466163884), SC_(106659.6604273573002063815229431263566237748637743622261182212981422323668756139498467915581435044571) }}, 
+      {{ SC_(106978.296875), SC_(0.905791938304901123046875), SC_(107408.734998923265541925220213930532489899427477954826595105190870582743619595466816264015557152955), SC_(106548.3453903465392932839969654246405965260624999938958828309703296188141318404673733944550378196684) }}, 
+      {{ SC_(106978.296875), SC_(0.9133758544921875), SC_(107424.0055670202970824638449232697216412857488407216160829379996654120213895137065538290553524438463), SC_(106533.1579221417583551950937315667626037830032018763190969794071719898382331654652699608236673323027) }}, 
+      {{ SC_(106978.296875), SC_(0.968867778778076171875), SC_(107588.9235613222152829931679225549014754124395269284113443203255103948124031662805528602664547683086), SC_(106369.3208655605404481804038740303298105183580397635384112856884253986898629793630975440978403633314) }}, 
+      {{ SC_(171464.0625), SC_(0.12698681652545928955078125), SC_(170991.7987738160400661711532241368523815758482376794424363282331416985687517598530113021351567322652), SC_(171936.5271011605645630168791502834268148052500147715712053943581753043298682506567262206437629713908) }}, 
+      {{ SC_(171464.0625), SC_(0.135477006435394287109375), SC_(171008.2836354564209492823743402973811390337608777526702016261413773534660200796449809982051665077003), SC_(171919.9826384883939702551089975861816589350398843659033957710496659891252213316559001815815327400668) }}, 
+      {{ SC_(171464.0625), SC_(0.22103404998779296875), SC_(171145.6191662746123960347552525693670128191028466757466580336222001947839794403773558314059941595646), SC_(171782.2331060803849520335453303183326526337638884076039027498474047799995742641818132862456747537524) }}, 
+      {{ SC_(171464.0625), SC_(0.308167040348052978515625), SC_(171256.3361047097958387452441541471127499385772793150774116115411855101108847691601832573807619567347), SC_(171671.2895979873130236903578632050660794939876719454087826341290089368450153075267593819684360323877) }}, 
+      {{ SC_(171464.0625), SC_(0.6323592662811279296875), SC_(171603.7718023434324974514302206535409055277466973477498540819203050822468613895559823545353022871572), SC_(171323.7627427548550174468619344221281973249811264358000342338320713853780519662237808191551395326248) }}, 
+      {{ SC_(171464.0625), SC_(0.814723670482635498046875), SC_(171834.7812554227987093134480125253002251121865641876340406728469955856798309411540595789975061266601), SC_(171093.2116182572157852580015242631784731817460262145817086170604362162178153569504512508225251352553) }}, 
+      {{ SC_(171464.0625), SC_(0.835008561611175537109375), SC_(171867.4225853696747287532499924362369112417451458992299610929008452549979384474959400833956401103073), SC_(171060.6683914212385500445147373534713684868992048983316972221307056329253829244630268336756229649048) }}, 
+      {{ SC_(171464.0625), SC_(0.905791938304901123046875), SC_(172008.9390039799149245319369194588737700358279596931623900607969038096782602911984385367690545112371), SC_(170919.6726353340561334782062787174007300952740547857469982263053520346768626380151551392105674125141) }}, 
+      {{ SC_(171464.0625), SC_(0.9133758544921875), SC_(172028.2607163503237074804240420988332805635207751072405443517988230279811664015979896111754298047853), SC_(170900.4340228751077815276338342892187005146619881755020781374282366220361628632145020859022759543646) }}, 
+      {{ SC_(171464.0625), SC_(0.968867778778076171875), SC_(172236.905515185348613520159589244969601354143298301884427671166903159884473708788358619633391766896), SC_(170692.8701620843835232223758792946766066205588069757104160071945587119499747986058865001180462595334) }}, 
+      {{ SC_(287713.625), SC_(0.12698681652545928955078125), SC_(287101.8390891334881074097768409639811422105174055074247663991980671146735409214228746030537490827894), SC_(288325.6117858325819400290984010245379181857090949256951183079858217963457877563186041586190041828876) }}, 
+      {{ SC_(287713.625), SC_(0.135477006435394287109375), SC_(287123.2018824342060405509691117625160296096920082481743462259847740285682319170194185122522020998578), SC_(288304.1893914925111228677903149683935820829058722939396270910064082845368520684242652738579958079628) }}, 
+      {{ SC_(287713.625), SC_(0.22103404998779296875), SC_(287301.1633297324049890437619176952336530543502592319387571077608781438650607731795664155648991042492), SC_(288125.8139425596597585955824696111531518443099937996959008431783465244705148305958926033655366242125) }}, 
+      {{ SC_(287713.625), SC_(0.308167040348052978515625), SC_(287444.6161875962380911288819205876894144456711595429288695779716233686378459491093953007953541560695), SC_(287982.1345150191015439663126413778115578427703552946723363867416179375439869486600021290202033928835) }}, 
+      {{ SC_(287713.625), SC_(0.6323592662811279296875), SC_(287894.6874489179014071783111281890207171400441598448189286641946463264879755117085964912831960132818), SC_(287531.9720960921756986707071354480752766558762675841713700852373467579201294942464262449709073610385) }}, 
+      {{ SC_(287713.625), SC_(0.814723670482635498046875), SC_(288193.8624685657253120713231978071896495272422042999916280573686361169253355069989533169539117598378), SC_(287233.2554050650734668559921717066438674227127230795422265297442527832155003247585279503101394869551) }}, 
+      {{ SC_(287713.625), SC_(0.835008561611175537109375), SC_(288236.1305748677261264763139679877739018298385456598709163321801212462074437452189204330390376852663), SC_(287191.0854018844619610439948437360860177127073148068576003551456242291546450349862447341532794138293) }}, 
+      {{ SC_(287713.625), SC_(0.905791938304901123046875), SC_(288419.3697666997195573795607481350142848162288944628671823192696454698912657762168311546144078778697), SC_(287008.3668726438555694570198503384645300805316567228857999141205296735618456088406804345883798515772) }}, 
+      {{ SC_(287713.625), SC_(0.9133758544921875), SC_(288444.3862532392817919544710751213857359531657572985942506273978341080423727813156579392633735805302), SC_(286983.4334860286298928127732334989709654886825090910274253943356470926729788108952795775884980653786) }}, 
+      {{ SC_(287713.625), SC_(0.968867778778076171875), SC_(288714.4987040958494150791768379727138187987696180207795301950993211293148528792180512566346062773377), SC_(286714.4019734332685576845212232609186614672218264529859295616546913400761609253508670570311556417372) }}, 
+      {{ SC_(811189.1875), SC_(0.12698681652545928955078125), SC_(810161.8590312371865843168933980041081328325710070299088178861493265134389880308605518391017994747884), SC_(812216.7168437188563979284647249628251019755537428376273766031544801981839282189973470746075052877665) }}, 
+      {{ SC_(811189.1875), SC_(0.135477006435394287109375), SC_(810197.7498979269406216229333830071350035973327816952880714391211131397799458403161724415876017573062), SC_(812180.7663759825506891792362570130089364226324810883040952150567099852012280358577738543974186957542) }}, 
+      {{ SC_(811189.1875), SC_(0.22103404998779296875), SC_(810496.7085818541638251177278868436507795786808493806841003579619404032620103009446072000163980337239), SC_(811881.3936903780003325280400757211189636198717447205229093798838652404976779035708631850160770953495) }}, 
+      {{ SC_(811189.1875), SC_(0.308167040348052978515625), SC_(810737.6596810209441188397088671254688261035908114807153029865438117474573459893950971804983662488815), SC_(811640.2160215165658363785038485826735353144913795793280443540697836953543164349103546800608981662806) }}, 
+      {{ SC_(811189.1875), SC_(0.6323592662811279296875), SC_(811493.4130930334681784464934025270672115225675384515035359787878148824734579705400730129452548515192), SC_(810884.3714518926483987655962044487674578474311600687306107087577719289978417856154576706566527627155) }}, 
+      {{ SC_(811189.1875), SC_(0.814723670482635498046875), SC_(811995.6073944837810507278595067896837851547513348796820987055379061808847590525648652941945063796637), SC_(810382.6354791001731534931504185529321689341432235194142157415772145748880181384490815012739271443493) }}, 
+      {{ SC_(811189.1875), SC_(0.835008561611175537109375), SC_(812066.5471821809268774383895112728062329337775853423876890314159367663267493240015649616128193898023), SC_(810311.7937945344017345682607983665585726031514332575059314866957462286550595648052571524209586357645) }}, 
+      {{ SC_(811189.1875), SC_(0.905791938304901123046875), SC_(812374.0504188456832837387624199860361643216611730814901346962998291782800792848840022126928346732626), SC_(810004.8112205260695868832902010461963334632154865047659274031951119044731278686388069124903893504951) }}, 
+      {{ SC_(811189.1875), SC_(0.9133758544921875), SC_(812416.0278043274019558628676997090748402578371572470019350929977553824684311176493949507102425008448), SC_(809962.9169349809432409688756513667346638313258479402030261893546740734029634599290918129699775355502) }}, 
+      {{ SC_(811189.1875), SC_(0.968867778778076171875), SC_(812869.2110457723077173766634087729640503055024244625964488641332722990514021020625997363526699219015), SC_(809510.8146320036991512143859204546175464755726797868383946222879006660812841804439525397298317135306) }}, 
+      {{ SC_(1340602.5), SC_(0.12698681652545928955078125), SC_(1339281.789217310227603638956713067406749799202177619440960783591278712272782687984485318465325634698), SC_(1341923.411657643639007333777049618448197159121016565415209623831539285788844610953752838000410332646) }}, 
+      {{ SC_(1340602.5), SC_(0.135477006435394287109375), SC_(1339327.937228622487435434723558076320553619035659265800295103113312125271806499402498542109463722967), SC_(1341877.204045283265012388313242013019815575145051478003059780209276879235388989175125836420473319923) }}, 
+      {{ SC_(1340602.5), SC_(0.22103404998779296875), SC_(1339712.322663835647115463627093526039417214514450079134571740611687493566900248789753047878427302874), SC_(1341492.404608383515658278630627107716714934192755525237250501053389901217595022258339024841963265735) }}, 
+      {{ SC_(1340602.5), SC_(0.308167040348052978515625), SC_(1340022.109695761389373850715324652137775669433408208271739480026258057424153514144279448404087341583), SC_(1341182.391006759227701894203217959369703988360879936035471868679603927201823099528589868185221044072) }}, 
+      {{ SC_(1340602.5), SC_(0.6323592662811279296875), SC_(1340993.681516583716822573407774790571084098092620222888109700458969964450847155204734529531816156073), SC_(1340210.728028324176179123620867989801125006955369657205955659737293424313505301822663996693364643671) }}, 
+      {{ SC_(1340602.5), SC_(0.814723670482635498046875), SC_(1341639.21195865400971691711247042743964641649950184497692636094105194253010661428811607626202482777), SC_(1339565.655914919776901964481359375383609125899415767739147337874327439960785358915178860477236871205) }}, 
+      {{ SC_(1340602.5), SC_(0.835008561611175537109375), SC_(1341730.394593718344730348431912807931874774159152781393115335369100867655446425097778085615493303823), SC_(1339474.571382988983554873353395399477444166684037486807114439003468351504601181586784778488843724471) }}, 
+      {{ SC_(1340602.5), SC_(0.905791938304901123046875), SC_(1342125.631024741747482365874818097900648331829089766546145385089458404019214871024479928583367510744), SC_(1339079.85561463612134401235478017313574989598767112679109272711123705107621660725882816550403989336) }}, 
+      {{ SC_(1340602.5), SC_(0.9133758544921875), SC_(1342179.58318466684205310449571855171979481228479144098285572172412554068281390306320099547841289301), SC_(1339025.98655465027920550229578505314111660672260003165765196039783266546290600690587108716340600317) }}, 
+      {{ SC_(1340602.5), SC_(0.968867778778076171875), SC_(1342762.018513537047540360796759927612282441879039821617202574156172598071372824957647151677236387446), SC_(1338444.632164292546392718217459403862675869956866545071666772833839055979245806235185884461105636674) }} 
+   } };
+
+
diff --git a/src/boost/libs/math/test/gamma_inv_data.ipp b/src/boost/libs/math/test/gamma_inv_data.ipp
new file mode 100644
index 00000000..abe77d3d
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 200> gamma_inv_data = { {
+      {{ SC_(9.754039764404296875), SC_(0.12698681652545928955078125), SC_(6.349849983781954486964960115093039567468747967664820851534065876063014180392060424555352423162443804), SC_(13.35954665556050630769710564071384909890705633863167415813992116806093647564994418684947673739937248) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.135477006435394287109375), SC_(6.443655518427200469944002789678415067225918847146256390238048987798948404483563975737891105237977816), SC_(13.20648307403762788665455912344161337928185855631083250140430065533748994841668643195553261756810763) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.22103404998779296875), SC_(7.262299107203547511919478506673940833772294421637239641242141768466064388735007729524335022945474356), SC_(11.97587613793353953360795933135034836336725275703898828955465276118339699687746564051854946108002967) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.308167040348052978515625), SC_(7.97160002999034906812099484768140342301220827266158714468555902274184312977405873043165132107201808), SC_(11.04086573531719578182530917737022531437091511425536985032928875608312723663655612529685653444775069) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.6323592662811279296875), SC_(10.49594448867679616659291265911862460649618853634598426379731165830605063134254492272180891868259779), SC_(8.425658710690898403870129948430842533053798281214253294861614223449877730063968146709177371998177282) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.814723670482635498046875), SC_(12.4361412533700118513726558060654652709881561861912344653689388650864659162098713582998706613513665), SC_(6.942010644016112027186983623736329615032487299108703218184306594043669003923138791980905906975995029) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.835008561611175537109375), SC_(12.72773220471889504229650982423238107961665601639868914273535729539112172086261925240837297640844728), SC_(6.748045775833720602368139518425707341668236119625769419950098701512116894292576121300681462006500869) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.905791938304901123046875), SC_(14.04289410800251925225181397652529175357661325918932141591196059344562473318317362439395292198624427), SC_(5.950449506005127213772609250049267524655862647593667247023701745572192142411485108776352863016275192) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.9133758544921875), SC_(14.22894231389791438923272291986931994699865499051360224227851330535373836529589979766491736680448836), SC_(5.846919097207863070421132965572838346244481147780105186426552033007650921954238889468080440271030891) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.968867778778076171875), SC_(16.33883627400002069452382739015521709223507055939529263776286910527953871886379701300232417366169237), SC_(4.808199239905297896929793615245708425392715583004661735514849678846177677735540465249046080150658016) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.12698681652545928955078125), SC_(8.784921019272498426105463510492037221421052305018408345439418701592122876845445386318018554294593597), SC_(16.81366073413268797817072489278431450377279434529634658485607365405913967176896119547533072607895572) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.135477006435394287109375), SC_(8.896383236591753135866154471087553855363191438952119644843354891974586610224750070854729638914776046), SC_(16.6428583989184708274029070066937822603130962248261232385768762701676877405494336531756951743065766) }}, 
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diff --git a/src/boost/libs/math/test/gamma_inv_small_data.ipp b/src/boost/libs/math/test/gamma_inv_small_data.ipp
new file mode 100644
index 00000000..0ec5c397
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_small_data.ipp
@@ -0,0 +1,237 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 229> gamma_inv_small_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.2239623606222809074122747811596115646210220735131141509259977248899758059576948436798908594057794725e-517862)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4348301951174619607003912855228982264838968134589390827069898370149065135278987288014463439625604227e-34079)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9832661142546970309065948494116195914044751609094617663675341704778529043412686011701793912754530322e-501622)), SC_(BOOST_MATH_SMALL_CONSTANT(0.174464879621346471044494182889773112103066192989857880445657763562407515813032064473382568887549155e-36531)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.8367188988033804556441828789142666841098768711906267440588049611090664598162301930590308375972597743e-378782)), SC_(BOOST_MATH_SMALL_CONSTANT(0.258455732678645501224573885451125893770282157149004436646252270592694652815341234774299743101856032e-62682)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.308167040348052978515625), SC_(BOOST_MATH_SMALL_CONSTANT(0.2205873777306860224249147129964654825654772808335654855092638386176586877302351181235652317545193535e-295387)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8841860184607764624716199689352601821223421516721282102648409952215997935928956722103353938434066324e-92450)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.6323592662811279296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.3493006236342872627718268547235558974110453236408370553242260146873678814721124761086879547194341511e-115006)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4608598583105815395151633406100700185774288566360162761619249236808047706604292396779780216945145655e-251105)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.814723670482635498046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1307814977375223234061697346935750965506413900088172878810937417241710162327371948752530053786611785e-51419)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3622247004413029118815942894731774856416774764001901351075227450895011592470141353244995696694896319e-423065)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.835008561611175537109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.3407200009988954922968231040073535782592944660979975072820794043769535120578823528671413904276314187e-45248)), SC_(BOOST_MATH_SMALL_CONSTANT(0.40372680297867266879468280760885460454290870234025769400910020388606341293084660523346882864736631e-452163)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.905791938304901123046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1289547938840298804104533289571370292449761595410863583261482629787772675014213604864800473713128265e-24829)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4473385981314550569653428208559396173592281928696895222750064028650962596615670418178431916147100131e-592788)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.9133758544921875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2660916718277898648353162270511365962890563186837505224306478516822433113175485818467727525519960066e-22737)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6065564736497368801762295026989180367578487822196046971460097223432141011146248705024295896736469553e-613849)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.968867778778076171875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1473132778697774093465699897329346789995005439716750867355563556776005696738800270428366009192934656e-7936)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6008673144885279892931053509531579477623416731984800692761855880946172764550286223383877167245766902e-870647)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.8500545195325853360129687030255002945655259106744411868936199400386357779413785394252606937409149347e-413825)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1168004659330719336985231445704960139768804061229080049955849277439667205757483213992057220049540351e-27232)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.7202712693841376368216354323694296792211539722228687704587193232171864702453427173668794173358037833e-400847)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2252614264634486253201447701279415032436991420138140648287940022937659078016357382571415445200213866e-29192)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.3000327882810984063485886505392286395644270610646887344028999837107973933925695988567563167728045096e-302685)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1498490062697145666757563645833685565995577423177516513148297134617720423214544808430852418820345691e-50089)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.308167040348052978515625), SC_(BOOST_MATH_SMALL_CONSTANT(0.1307004433406758598014428627573055623164994782163856086219980606033295840179348304515381612579150121e-236044)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8660761056125063203743178336674650301770491595301193399539391174485981887085468404902606561784465577e-73877)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.6323592662811279296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1183316844216403526657583856991948601012391672622156410900987978451851712537691445331530312832797228e-91901)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1591103740030003499118723418460479045052885251014777131066205491018123438721843692240137750119143378e-200658)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.814723670482635498046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1674134325233505112606127764095613275142520744956844047709789044616079191515075547796473275770297974e-41089)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3612384181299129469928622773435995792869558303198558837492185251476669534034831500723829680749590518e-338072)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.835008561611175537109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6513834432351054603935790801928696636769937839154029815627322893900997971153735962011923847861105547e-36158)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2131860779789139256037424176809792095632204680337931857718865949785434825481960848149849797507583928e-361324)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.905791938304901123046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2178005192333624215784803979717837598562757410620706503281900091107825680350931337396209745019443998e-19841)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4588085686858952503042372234625485480201105499533793863948812241019952913466033029898154440318470087e-473698)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.9133758544921875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2044546663391562477705354540370760821409485274148331480980359986548683615601729039239239614213065235e-18169)), SC_(BOOST_MATH_SMALL_CONSTANT(0.7629190706250225994074616748192014275571599576934851198947217095948168969106405661485602778753139218e-490528)) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.968867778778076171875), SC_(BOOST_MATH_SMALL_CONSTANT(0.4096487433832820170639333743831954761351590021205697452562807451168473548459292965564190974788844749e-6342)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1297397706877886168379273776356177633807822967666079798581567618567115144239687805362946264983224597e-695735)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.460289138417023240211835453578728773675893958998560741266616339802513531273727174963248143404409346e-123279)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1227830593913913689043483463822718345251662053270570059659747620207531684387617971000150489495390622e-8112)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6439991263768059081770908658752929598087302065287439367522303278837306676039083594400840449710127147e-119413)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1936099411280065786600982265792717722767945024296565235561154800531592756609798398701501116557434413e-8696)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2064880008938546016135832883384716687050715182089334885089172611730709160883330305789994119189833204e-90170)), SC_(BOOST_MATH_SMALL_CONSTANT(0.9636789658116208361662045675832611481515953065813422246552622845538828381107902733604814371406262203e-14922)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.308167040348052978515625), SC_(BOOST_MATH_SMALL_CONSTANT(0.4672763627314931787409452529965189883928299396526058431027743531008131781333308125789010166445570443e-70318)), SC_(BOOST_MATH_SMALL_CONSTANT(0.5333958645484846264899444976530540348886306684971665853490471154195979393073606296468477524956455995e-22008)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.6323592662811279296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1232079542911688319553284787645084489874316487664902104337227730213965329139279051931070447347538552e-27377)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1745508475051527213009559427098382072109145551947732820968960362083588524860039683359355038443208669e-59776)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.814723670482635498046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1296871584563229453031476552376127081733495432987283917208707733104304941994062901047954719016264728e-12240)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3119684049016554066402196968135164105103042293007478934952055073327703314807997817770702753165916888e-100712)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.835008561611175537109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.1744156521766280393141688111513263176846896834358940986864024481897475752003777342235119371016119832e-10771)), SC_(BOOST_MATH_SMALL_CONSTANT(0.414282922235332770074768291902894089464647802773088955269313913489638472173573774702189380297337679e-107639)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.905791938304901123046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.9134084128666229552771771583922013819958821761786059137020004689307969234520514787745058008336030516e-5911)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2085723217142930347094312090575084590094262400334108078273206186864903163220911787400224976002324296e-141115)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.9133758544921875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1106626349398291975361851522331692345605272541414957089479290323484012747768775482956833740133997023e-5412)), SC_(BOOST_MATH_SMALL_CONSTANT(0.5019947814569084821972649400070925089480757099017899755164384177383260941610254064551897764836241042e-146129)) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.968867778778076171875), SC_(0.2608738285704836848239817641016769732591640383513307387951906227411127886545943640386587729196529798e-1889), SC_(BOOST_MATH_SMALL_CONSTANT(0.9391569555686887348572282531856270103209070385690661485800330330324704801693506326997201625650584228e-207261)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.339390501360481883384596846727229310838380493148059239101677398294559127652204528478268766605745691e-64017)), SC_(0.8930970995970272744149034236099991596203915342210295009610487968429898591362281212215882612432334172e-4213) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.1478165479650781320569422389970436453616410129224510514070984667774343182955852078638154528221379033e-62009)), SC_(0.6166505887233514954458318978151305493474273629828733433707686152568316580969117228752011354754100409e-4516) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2636223483866300712285073854631877501273640030610221560132162856371236675991856524728587705746297074e-46824)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1179070268459566531464548375815239425103518998753490696351340626821057948491563316259813424943317095e-7748)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.308167040348052978515625), SC_(BOOST_MATH_SMALL_CONSTANT(0.3085719676015113786900559879398114388323199985826467699671192420873003184123044267039751593375655573e-36515)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1866107010075390801548946745085437000221498205178902450996305353941274930070444383308861599008651802e-11428)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.6323592662811279296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.7743073115105881135630532411055705358953657608902295030130428779685124579667759424182550282392251774e-14217)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3891618185709909838836983643181316431906213234898591756880393231944196898745253316876972214816450983e-31041)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.814723670482635498046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.222216709392403859077345757164648641055669472167062646627925353942822049167347003774956605136793258e-6356)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1553098038974094715628835971928945389167186664370201233578708844500900929376674522237036066734443409e-52298)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.835008561611175537109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.1762412434192703586953808931252239830607212327509661647619944439092944014510892565024867820443452495e-5593)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1427522693565869357184324274786304328120490007393000466898389151996230157936654133010870707870098114e-55895)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.905791938304901123046875), SC_(0.2259490828022611962651286035615477033923299926896382236832176774513532167028895827574135582466792268e-3069), SC_(BOOST_MATH_SMALL_CONSTANT(0.2241017130581831897730462424904751051004418852587147386250684104551402650352326106103864234388080914e-73279)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.9133758544921875), SC_(0.1005028821672110309415483560972173499716663965719086172500020531716576068606833471119991129664424692e-2810), SC_(BOOST_MATH_SMALL_CONSTANT(0.6979771306818377405428798318204058016896524472057195949985191958384843690760804078528960881333370124e-75883)) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.968867778778076171875), SC_(0.4399884537105952873524158618429125109607698051551640190711957784190261472987797258480803340986411014e-981), SC_(BOOST_MATH_SMALL_CONSTANT(0.8636123050850289155805959438262889417641775752173387265269754240416817175647540561424609415147039372e-107628)) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.8931367727030424252994406039858535255018561374129051577258665728233205820316949561800237503288164831e-52118)), SC_(0.104535845548742628763976899233973069829736957363121321494519130075530673267495622335035426409117717e-3429) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.2589093342255974756648686300693355584048765521630894862720053856422193831195464113676002513110719721e-50483)), SC_(0.16198355017053579069996072009618961612118734166699913346916923061929129768370182367736118778593987e-3676) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1131654056362539852227074104110635132727613506886451792169695589196046225490082242712248876956203819e-38120)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2418895718086420844325145820876239350943692602292988120400434717351012753484624854522329731793070942e-6308)) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.308167040348052978515625), SC_(BOOST_MATH_SMALL_CONSTANT(0.7737905254468185735537123684595618067772979718013636259212988387325859473074990334198003279697030936e-29728)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3789484131191558145146646615273547527416033448113469449596149406457540248009040893261262302435368351e-9304)) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.6323592662811279296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.3137871276904600122078241916282438984659729219024238596335891667491938041450321977041506616782238e-11574)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2965711263826589720683465047050190541366519308458462201756314491278502965590196986656248475977616153e-25271)) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.814723670482635498046875), SC_(BOOST_MATH_SMALL_CONSTANT(0.7326832021626652729926634452678165177166851058442304763758241120359336029481475591271983428389901225e-5175)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2318348542835619519901827000824812239793449432180459609887843839490589299765256524982276851927704163e-42577)) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.835008561611175537109375), SC_(0.9072264440263374752486629470877711396201875705326118961327802635563036219892924006850270554141376785e-4554), SC_(BOOST_MATH_SMALL_CONSTANT(0.8711416684170844816954635283039605021423223228389166020499752751997518422712015098390278042969483672e-45506)) }}, 
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+   } };
+
diff --git a/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp b/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp
new file mode 100644
index 00000000..3518ffca
--- /dev/null
+++ b/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp
@@ -0,0 +1,528 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE Gauss Kronrod_quadrature_test
+
+#include <complex>
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/multiprecision/debug_adaptor.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+#if !defined(TEST1) && !defined(TEST1A) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST1A
+#  define TEST2
+#  define TEST3
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss_kronrod;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_dec_float_50;
+using boost::multiprecision::debug_adaptor;
+using boost::multiprecision::number;
+
+//
+// Error rates depend only on the number of points in the approximation, not the type being tested,
+// define all our expected errors here:
+//
+
+enum
+{
+   test_ca_error_id,
+   test_ca_error_id_2,
+   test_three_quad_error_id,
+   test_three_quad_error_id_2,
+   test_integration_over_real_line_error_id,
+   test_right_limit_infinite_error_id,
+   test_left_limit_infinite_error_id
+};
+
+template <unsigned Points>
+double expected_error(unsigned)
+{
+   return 0; // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<15>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<17>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<21>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-12;
+   case test_ca_error_id_2:
+      return 3e-6;
+   case test_three_quad_error_id:
+      return 2e-13;
+   case test_three_quad_error_id_2:
+      return 2e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-8;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<31>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 6e-20;
+   case test_ca_error_id_2:
+      return 3e-7;
+   case test_three_quad_error_id:
+      return 1e-19;
+   case test_three_quad_error_id_2:
+      return 6e-4;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-11;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<41>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-26;
+   case test_ca_error_id_2:
+      return 1e-7;
+   case test_three_quad_error_id:
+      return 3e-27;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 5e-5;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-15;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<51>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-33;
+   case test_ca_error_id_2:
+      return 1e-8;
+   case test_three_quad_error_id:
+      return 1e-32;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-14;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-19;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<61>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-34;
+   case test_ca_error_id_2:
+      return 5e-9;
+   case test_three_quad_error_id:
+      return 4e-34;
+   case test_three_quad_error_id_2:
+      return 1e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-16;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-23;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss_kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+    auto f = [](const Real& x)->Real
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 0, (Real) 1, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by Gauss Kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+
+    auto f = [](const Real& x)->Real { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, 0, 1, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_ca_error_id);
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& x)->Real { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss_kronrod<Real, Points>::integrate(f1, 0, 1, 0, 0, &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 0, 0, &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    tol = expected_error<Points>(test_ca_error_id_2);
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0, 1, 0);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_three_quad_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t)->Real { return t*boost::math::log1p(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0 , 1, 0);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t)->Real { return t*t*atan(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 0);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t)->Real { return exp(t)*cos(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f3, 0, half_pi<Real>(), 0);
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 0 , 1, 0);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    tol = expected_error<Points>(test_three_quad_error_id_2);
+    // Example 5:
+    auto f5 = [](const Real& t)->Real { return sqrt(t)*log(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0 , 1, 0);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t)->Real { return sqrt(1 - t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f6, 0 , 1, 0);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_integration_over_real_line_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gauss Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_right_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t)->Real { return 1/(1+t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gauss Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_left_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), Real(0), 0);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Complex>
+void test_complex_lambert_w()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by Gaussian quadrature on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 10e-9;
+    using boost::math::constants::pi;
+    Complex z{2, 3};
+    auto lw = [&z](Real v)->Complex {
+      using std::cos;
+      using std::sin;
+      using std::exp;
+      Real sinv = sin(v);
+      Real cosv = cos(v);
+
+      Real cotv = cosv/sinv;
+      Real cscv = 1/sinv;
+      Real t = (1-v*cotv)*(1-v*cotv) + v*v;
+      Real x = v*cscv*exp(-v*cotv);
+      Complex den = z + x;
+      Complex num = t*(z/pi<Real>());
+      Complex res = num/den;
+      return res;
+    };
+
+    //N[ProductLog[2+3*I], 150]
+    boost::math::quadrature::gauss_kronrod<Real, 61> integrator;
+    Complex Q = integrator.integrate(lw, (Real) 0, pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q.real(), boost::lexical_cast<Real>("1.09007653448579084630177782678166964987102108635357778056449870727913321296238687023915522935120701763447787503167111962008709116746523970476893277703"), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q.imag(), boost::lexical_cast<Real>("0.530139720774838801426860213574121741928705631382703178297940568794784362495390544411799468140433404536019992695815009036975117285537382995180319280835"), tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+#ifdef TEST1
+    std::cout << "Testing 15 point approximation:\n";
+    test_linear<double, 15>();
+    test_quadratic<double, 15>();
+    test_ca<double, 15>();
+    test_three_quadrature_schemes_examples<double, 15>();
+    test_integration_over_real_line<double, 15>();
+    test_right_limit_infinite<double, 15>();
+    test_left_limit_infinite<double, 15>();
+
+    //  test one case where we do not have pre-computed constants:
+    std::cout << "Testing 17 point approximation:\n";
+    test_linear<double, 17>();
+    test_quadratic<double, 17>();
+    test_ca<double, 17>();
+    test_three_quadrature_schemes_examples<double, 17>();
+    test_integration_over_real_line<double, 17>();
+    test_right_limit_infinite<double, 17>();
+    test_left_limit_infinite<double, 17>();
+    test_complex_lambert_w<std::complex<double>>();
+    test_complex_lambert_w<std::complex<long double>>();
+#endif
+#ifdef TEST1A
+    std::cout << "Testing 21 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 21>();
+    test_quadratic<cpp_bin_float_quad, 21>();
+    test_ca<cpp_bin_float_quad, 21>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 21>();
+    test_integration_over_real_line<cpp_bin_float_quad, 21>();
+    test_right_limit_infinite<cpp_bin_float_quad, 21>();
+    test_left_limit_infinite<cpp_bin_float_quad, 21>();
+
+    std::cout << "Testing 31 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 31>();
+    test_quadratic<cpp_bin_float_quad, 31>();
+    test_ca<cpp_bin_float_quad, 31>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 31>();
+    test_integration_over_real_line<cpp_bin_float_quad, 31>();
+    test_right_limit_infinite<cpp_bin_float_quad, 31>();
+    test_left_limit_infinite<cpp_bin_float_quad, 31>();
+#endif
+#ifdef TEST2
+    std::cout << "Testing 41 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 41>();
+    test_quadratic<cpp_bin_float_quad, 41>();
+    test_ca<cpp_bin_float_quad, 41>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 41>();
+    test_integration_over_real_line<cpp_bin_float_quad, 41>();
+    test_right_limit_infinite<cpp_bin_float_quad, 41>();
+    test_left_limit_infinite<cpp_bin_float_quad, 41>();
+
+    std::cout << "Testing 51 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 51>();
+    test_quadratic<cpp_bin_float_quad, 51>();
+    test_ca<cpp_bin_float_quad, 51>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 51>();
+    test_integration_over_real_line<cpp_bin_float_quad, 51>();
+    test_right_limit_infinite<cpp_bin_float_quad, 51>();
+    test_left_limit_infinite<cpp_bin_float_quad, 51>();
+#endif
+#ifdef TEST3
+    // Need at least one set of tests with expression templates turned on:
+    std::cout << "Testing 61 point approximation:\n";
+    test_linear<cpp_dec_float_50, 61>();
+    test_quadratic<cpp_dec_float_50, 61>();
+    test_ca<cpp_dec_float_50, 61>();
+    test_three_quadrature_schemes_examples<cpp_dec_float_50, 61>();
+    test_integration_over_real_line<cpp_dec_float_50, 61>();
+    test_right_limit_infinite<cpp_dec_float_50, 61>();
+    test_left_limit_infinite<cpp_dec_float_50, 61>();
+#ifdef BOOST_HAS_FLOAT128
+    test_complex_lambert_w<boost::multiprecision::complex128>();
+#endif
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/gauss_quadrature_test.cpp b/src/boost/libs/math/test/gauss_quadrature_test.cpp
new file mode 100644
index 00000000..61145db1
--- /dev/null
+++ b/src/boost/libs/math/test/gauss_quadrature_test.cpp
@@ -0,0 +1,515 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE tanh_sinh_quadrature_test
+
+#include <complex>
+//#include <boost/multiprecision/mpc.hpp>
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+
+//
+// Error rates depend only on the number of points in the approximation, not the type being tested,
+// define all our expected errors here:
+//
+
+enum
+{
+   test_ca_error_id,
+   test_ca_error_id_2,
+   test_three_quad_error_id,
+   test_three_quad_error_id_2,
+   test_integration_over_real_line_error_id,
+   test_right_limit_infinite_error_id,
+   test_left_limit_infinite_error_id
+};
+
+template <unsigned Points>
+double expected_error(unsigned)
+{
+   return 0; // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<7>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<9>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<10>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-12;
+   case test_ca_error_id_2:
+      return 3e-6;
+   case test_three_quad_error_id:
+      return 2e-13;
+   case test_three_quad_error_id_2:
+      return 2e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-8;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<15>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 6e-20;
+   case test_ca_error_id_2:
+      return 3e-7;
+   case test_three_quad_error_id:
+      return 1e-19;
+   case test_three_quad_error_id_2:
+      return 6e-4;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-11;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<20>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-26;
+   case test_ca_error_id_2:
+      return 1e-7;
+   case test_three_quad_error_id:
+      return 3e-27;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 5e-5;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-15;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<25>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-33;
+   case test_ca_error_id_2:
+      return 1e-8;
+   case test_three_quad_error_id:
+      return 1e-32;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-14;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-19;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<30>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 2e-34;
+   case test_ca_error_id_2:
+      return 5e-9;
+   case test_three_quad_error_id:
+      return 4e-34;
+   case test_three_quad_error_id_2:
+      return 1e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-16;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-23;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss<Real, Points>::integrate(f, (Real) 0, (Real) 1, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by Gaussian quadrature on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss<Real, Points>::integrate(f, 0, 1, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_ca_error_id);
+    Real L1;
+
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss<Real, Points>::integrate(f1, 0, 1, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss<Real, Points>::integrate(f2, 0 , 1, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    tol = expected_error<Points>(test_ca_error_id_2);
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss<Real, Points>::integrate(f5, 0 , 1);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_three_quad_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = gauss<Real, Points>::integrate(f1, 0 , 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = gauss<Real, Points>::integrate(f2, 0 , 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = gauss<Real, Points>::integrate(f3, 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss<Real, Points>::integrate(f4, 0 , 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    tol = expected_error<Points>(test_three_quad_error_id_2);
+    // Example 5:
+    auto f5 = [](const Real& t) { return sqrt(t)*log(t); };
+    Q = gauss<Real, Points>::integrate(f5, 0 , 1);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t) { return sqrt(1 - t*t); };
+    Q = gauss<Real, Points>::integrate(f6, 0 , 1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_integration_over_real_line_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gaussian quadrature in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_right_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = gauss<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gaussian quadrature in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_left_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), Real(0));
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Complex>
+void test_complex_lambert_w()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by Gaussian quadrature on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 10e-9;
+    using boost::math::constants::pi;
+    Complex z{2, 3};
+    auto lw = [&z](Real v)->Complex {
+      using std::cos;
+      using std::sin;
+      using std::exp;
+      Real sinv = sin(v);
+      Real cosv = cos(v);
+
+      Real cotv = cosv/sinv;
+      Real cscv = 1/sinv;
+      Real t = (1-v*cotv)*(1-v*cotv) + v*v;
+      Real x = v*cscv*exp(-v*cotv);
+      Complex den = z + x;
+      Complex num = t*(z/pi<Real>());
+      Complex res = num/den;
+      return res;
+    };
+
+    //N[ProductLog[2+3*I], 150]
+    Complex Q = gauss<Real, 30>::integrate(lw, (Real) 0, pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q.real(), boost::lexical_cast<Real>("1.09007653448579084630177782678166964987102108635357778056449870727913321296238687023915522935120701763447787503167111962008709116746523970476893277703"), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q.imag(), boost::lexical_cast<Real>("0.530139720774838801426860213574121741928705631382703178297940568794784362495390544411799468140433404536019992695815009036975117285537382995180319280835"), tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+  
+#ifdef TEST1
+    test_linear<double, 7>();
+    test_quadratic<double, 7>();
+    test_ca<double, 7>();
+    test_three_quadrature_schemes_examples<double, 7>();
+    test_integration_over_real_line<double, 7>();
+    test_right_limit_infinite<double, 7>();
+    test_left_limit_infinite<double, 7>();
+
+    test_linear<double, 9>();
+    test_quadratic<double, 9>();
+    test_ca<double, 9>();
+    test_three_quadrature_schemes_examples<double, 9>();
+    test_integration_over_real_line<double, 9>();
+    test_right_limit_infinite<double, 9>();
+    test_left_limit_infinite<double, 9>();
+
+    test_linear<cpp_bin_float_quad, 10>();
+    test_quadratic<cpp_bin_float_quad, 10>();
+    test_ca<cpp_bin_float_quad, 10>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 10>();
+    test_integration_over_real_line<cpp_bin_float_quad, 10>();
+    test_right_limit_infinite<cpp_bin_float_quad, 10>();
+    test_left_limit_infinite<cpp_bin_float_quad, 10>();
+#endif
+#ifdef TEST2
+    test_linear<cpp_bin_float_quad, 15>();
+    test_quadratic<cpp_bin_float_quad, 15>();
+    test_ca<cpp_bin_float_quad, 15>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 15>();
+    test_integration_over_real_line<cpp_bin_float_quad, 15>();
+    test_right_limit_infinite<cpp_bin_float_quad, 15>();
+    test_left_limit_infinite<cpp_bin_float_quad, 15>();
+
+    test_linear<cpp_bin_float_quad, 20>();
+    test_quadratic<cpp_bin_float_quad, 20>();
+    test_ca<cpp_bin_float_quad, 20>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 20>();
+    test_integration_over_real_line<cpp_bin_float_quad, 20>();
+    test_right_limit_infinite<cpp_bin_float_quad, 20>();
+    test_left_limit_infinite<cpp_bin_float_quad, 20>();
+
+    test_linear<cpp_bin_float_quad, 25>();
+    test_quadratic<cpp_bin_float_quad, 25>();
+    test_ca<cpp_bin_float_quad, 25>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 25>();
+    test_integration_over_real_line<cpp_bin_float_quad, 25>();
+    test_right_limit_infinite<cpp_bin_float_quad, 25>();
+    test_left_limit_infinite<cpp_bin_float_quad, 25>();
+
+    test_linear<cpp_bin_float_quad, 30>();
+    test_quadratic<cpp_bin_float_quad, 30>();
+    test_ca<cpp_bin_float_quad, 30>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 30>();
+    test_integration_over_real_line<cpp_bin_float_quad, 30>();
+    test_right_limit_infinite<cpp_bin_float_quad, 30>();
+    test_left_limit_infinite<cpp_bin_float_quad, 30>();
+
+
+#endif
+#ifdef TEST3
+    test_left_limit_infinite<cpp_bin_float_quad, 30>();
+    test_complex_lambert_w<std::complex<double>>();
+    test_complex_lambert_w<std::complex<long double>>();
+#ifdef BOOST_HAS_FLOAT128
+    test_left_limit_infinite<boost::multiprecision::float128, 30>();
+    test_complex_lambert_w<boost::multiprecision::complex128>();
+#endif
+    test_complex_lambert_w<boost::multiprecision::cpp_complex_quad>();
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/gegenbauer_test.cpp b/src/boost/libs/math/test/gegenbauer_test.cpp
new file mode 100644
index 00000000..7e1ae6b7
--- /dev/null
+++ b/src/boost/libs/math/test/gegenbauer_test.cpp
@@ -0,0 +1,126 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/core/demangle.hpp>
+#include <boost/math/special_functions/gegenbauer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::gegenbauer;
+using boost::math::gegenbauer_derivative;
+
+template<class Real>
+void test_parity()
+{
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<Real> xdis(-1, +1);
+    std::uniform_real_distribution<Real> lambdadis(-0.5, 1);
+
+    for(unsigned n = 0; n < 50; ++n) {
+        unsigned calls = 50;
+        unsigned i = 0;
+        while(i++ < calls) {
+            Real x = xdis(gen);
+            Real lambda = lambdadis(gen);
+            if (n & 1) {
+                CHECK_ULP_CLOSE(gegenbauer(n, lambda, -x), -gegenbauer(n, lambda, x), 0);
+            }
+            else {
+                CHECK_ULP_CLOSE(gegenbauer(n, lambda, -x), gegenbauer(n, lambda, x), 0);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    Real lambda = 1/Real(4);
+    auto c2 = [&](Real x) { return -lambda + 2*lambda*(1+lambda)*x*x; };
+
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c2(x);
+        Real computed = gegenbauer(2, lambda, x);
+        CHECK_ULP_CLOSE(expected, computed, 0);
+        x += h;
+    }
+}
+
+template<class Real>
+void test_cubic()
+{
+    Real lambda = 1/Real(4);
+    auto c3 = [&](Real x) { return lambda*(1+lambda)*x*(-2 + 4*(2+lambda)*x*x/3); };
+
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c3(x);
+        Real computed = gegenbauer(3, lambda, x);
+        CHECK_ULP_CLOSE(expected, computed, 4);
+        x += h;
+    }
+}
+
+template<class Real>
+void test_derivative()
+{
+    Real lambda = 0.5;
+    auto c3_prime = [&](Real x) { return 2*lambda*(lambda+1)*(-1 + 2*(lambda+2)*x*x); };
+    auto c3_double_prime = [&](Real x) { return 8*lambda*(lambda+1)*(lambda+2)*x; };
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c3_prime(x);
+        Real computed = gegenbauer_derivative(3, lambda, x, 1);
+        CHECK_ULP_CLOSE(expected, computed, 1);
+
+        expected = c3_double_prime(x);
+        computed = gegenbauer_derivative(3, lambda, x, 2);
+        CHECK_ULP_CLOSE(expected, computed, 1);
+
+        x += h;
+    }
+
+}
+
+
+
+int main()
+{
+    test_parity<float>();
+    test_parity<double>();
+    test_parity<long double>();
+
+    test_quadratic<float>();
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_cubic<double>();
+    test_cubic<long double>();
+
+    test_derivative<float>();
+    test_derivative<double>();
+    test_derivative<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_quadratic<boost::multiprecision::float128>();
+    test_cubic<boost::multiprecision::float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/handle_test_result.hpp b/src/boost/libs/math/test/handle_test_result.hpp
new file mode 100644
index 00000000..cb1432a5
--- /dev/null
+++ b/src/boost/libs/math/test/handle_test_result.hpp
@@ -0,0 +1,220 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_HANDLE_TEST_RESULT
+#define BOOST_MATH_HANDLE_TEST_RESULT
+
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/regex.hpp>
+#include <boost/test/test_tools.hpp>
+#include <iostream>
+#include <iomanip>
+
+#if defined(BOOST_INTEL)
+#  pragma warning(disable:239)
+#  pragma warning(disable:264)
+#endif
+
+//
+// Every client of this header has to define this function,
+// and initialise the table of expected results:
+//
+void expected_results();
+
+typedef std::pair<boost::regex, std::pair<boost::uintmax_t, boost::uintmax_t> > expected_data_type;
+typedef std::list<expected_data_type> list_type;
+
+inline list_type& 
+   get_expected_data()
+{
+   static list_type data;
+   return data;
+}
+
+inline void add_expected_result(
+   const char* compiler,
+   const char* library,
+   const char* platform,
+   const char* type_name,
+   const char* test_name,
+   const char* group_name, 
+   boost::uintmax_t max_peek_error, 
+   boost::uintmax_t max_mean_error)
+{
+   std::string re("(?:");
+   re += compiler;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += library;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += platform;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += type_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += test_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += group_name;
+   re += ")";
+   get_expected_data().push_back(
+      std::make_pair(boost::regex(re, boost::regex::perl | boost::regex::icase), 
+         std::make_pair(max_peek_error, max_mean_error)));
+}
+
+inline std::string build_test_name(const char* type_name, const char* test_name, const char* group_name)
+{
+   std::string result(BOOST_COMPILER);
+   result += "|";
+   result += BOOST_STDLIB;
+   result += "|";
+   result += BOOST_PLATFORM;
+   result += "|";
+   result += type_name;
+   result += "|";
+   result += group_name;
+   result += "|";
+   result += test_name;
+   return result;
+}
+
+inline const std::pair<boost::uintmax_t, boost::uintmax_t>&
+   get_max_errors(const char* type_name, const char* test_name, const char* group_name)
+{
+   static const std::pair<boost::uintmax_t, boost::uintmax_t> defaults(1, 1);
+   std::string name = build_test_name(type_name, test_name, group_name);
+   list_type& l = get_expected_data();
+   list_type::const_iterator a(l.begin()), b(l.end());
+   while(a != b)
+   {
+      if(regex_match(name, a->first))
+      {
+#if 0
+         std::cout << name << std::endl;
+         std::cout << a->first.str() << std::endl;
+#endif
+         return a->second;
+      }
+      ++a;
+   }
+   return defaults;
+}
+
+template <class T, class Seq>
+void handle_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, 
+                       const char* type_name, 
+                       const char* test_name, 
+                       const char* group_name)
+{
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test_name << "<" << type_name << "> Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      if(std::numeric_limits<T>::digits10)
+      {
+         std::cout << std::setprecision(std::numeric_limits<T>::digits10 + 2);
+      }
+      else
+      {
+         std::cout << std::setprecision(std::numeric_limits<long double>::digits10 + 2);
+      }
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+#if defined(__SGI_STL_PORT)
+         std::cout << boost::math::tools::real_cast<double>(worst[i]);
+#else
+         std::cout << worst[i];
+#endif
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+   //
+   // Now verify that the results are within our expected bounds:
+   //
+   std::pair<boost::uintmax_t, boost::uintmax_t> const& bounds = get_max_errors(type_name, test_name, group_name);
+   if(bounds.first < max_error_found)
+   {
+      std::cerr << "Peak error greater than expected value of " << bounds.first << std::endl;
+      BOOST_CHECK(bounds.first >= max_error_found);
+   }
+   if(bounds.second < mean_error_found)
+   {
+      std::cerr << "Mean error greater than expected value of " << bounds.second << std::endl;
+      BOOST_CHECK(bounds.second >= mean_error_found);
+   }
+   std::cout << std::endl;
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
+template <class T, class Seq>
+void print_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, const char* name, const char* test)
+{
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test << "(" << name << ") Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+         std::cout << worst[i];
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+}
+
+#endif // BOOST_MATH_HANDLE_TEST_RESULT
+
diff --git a/src/boost/libs/math/test/hermite.ipp b/src/boost/libs/math/test/hermite.ipp
new file mode 100644
index 00000000..75f04940
--- /dev/null
+++ b/src/boost/libs/math/test/hermite.ipp
@@ -0,0 +1,428 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 420> hermite = {{
+      {{ SC_(0.8e1), SC_(-0.804919189453125e3), SC_(0.45107507538695517471998224862706929168983312035236e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.7460263671875e3), SC_(0.24561928260207418635049717146784087504133748838575e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.72904595947265625e3), SC_(0.20429972623973894937590136235800300689033201111301e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.623236083984375e3), SC_(0.5827000192786290015079053630015377969828881322477e25) }}, 
+      {{ SC_(0.8e1), SC_(-0.557931884765625e3), SC_(0.24036425469465274704663172230600209480309473246511e25) }}, 
+      {{ SC_(0.8e1), SC_(-0.4430035400390625e3), SC_(0.3797226972301982762616920977628718931846209669113e24) }}, 
+      {{ SC_(0.8e1), SC_(-0.383665924072265625e3), SC_(0.12017786536547968144293561686294350272042177165962e24) }}, 
+      {{ SC_(0.8e1), SC_(0.9376299285888671875e2), SC_(0.15268620781186000127986962828387837477310566397968e19) }}, 
+      {{ SC_(0.8e1), SC_(0.944411773681640625e2), SC_(0.1617518154852919675909314869798309833011143307635e19) }}, 
+      {{ SC_(0.8e1), SC_(0.264718536376953125e3), SC_(0.61720298828736019075790614156102805167876087211952e22) }}, 
+      {{ SC_(0.8e1), SC_(0.62944732666015625e3), SC_(0.63081173846769146140441083274224793875281883735246e25) }}, 
+      {{ SC_(0.8e1), SC_(0.67001715087890625e3), SC_(0.10397137311210792549517430287956468909599308482363e26) }}, 
+      {{ SC_(0.8e1), SC_(0.8115838623046875e3), SC_(0.48183457131767562763518406277181444679084105960509e26) }}, 
+      {{ SC_(0.8e1), SC_(0.826751708984375e3), SC_(0.55876845531601243780899074396489049059605490708721e26) }}, 
+      {{ SC_(0.8e1), SC_(0.915013671875e3), SC_(0.12579210047506473419699887821873790018411396965251e27) }}, 
+      {{ SC_(0.8e1), SC_(0.92977703857421875e3), SC_(0.14297610657915447015410284337196030534976367717228e27) }}, 
+      {{ SC_(0.8e1), SC_(0.935389892578125e3), SC_(0.15002871812830612180035463350811490994647498745898e27) }}, 
+      {{ SC_(0.8e1), SC_(0.93773553466796875e3), SC_(0.15306505051932713956696576348429859356902240309652e27) }}, 
+      {{ SC_(0.8e1), SC_(0.9857625732421875e3), SC_(0.2282508005179494438672517847212865156472291867269e27) }}, 
+      {{ SC_(0.8e1), SC_(0.99292266845703125e3), SC_(0.24185618845978155462978780829055436870571431239936e27) }}, 
+      {{ SC_(0.9e1), SC_(-0.804919189453125e3), SC_(-0.72615348491801522758107817154280636761854800448258e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.7460263671875e3), SC_(-0.36647428831123627780613206119656435975372881269689e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.72904595947265625e3), SC_(-0.29788553802717105399309090578189082490491064795881e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.623236083984375e3), SC_(-0.72631187656840434630386580888842027480654740183583e28) }}, 
+      {{ SC_(0.9e1), SC_(-0.557931884765625e3), SC_(-0.26821031676217242168707855784900940170157970241264e28) }}, 
+      {{ SC_(0.9e1), SC_(-0.4430035400390625e3), SC_(-0.33643014085005895416146465835311020646005187659932e27) }}, 
+      {{ SC_(0.9e1), SC_(-0.383665924072265625e3), SC_(-0.92213797591750116970480652180852706466705815198925e26) }}, 
+      {{ SC_(0.9e1), SC_(0.9376299285888671875e2), SC_(0.28619599017630076419048218930351610672808471971911e21) }}, 
+      {{ SC_(0.9e1), SC_(0.944411773681640625e2), SC_(0.30538356606793385774776392717760624059016600770529e21) }}, 
+      {{ SC_(0.9e1), SC_(0.264718536376953125e3), SC_(0.32675149012792009950839328597362709432321349932704e25) }}, 
+      {{ SC_(0.9e1), SC_(0.62944732666015625e3), SC_(0.79411750739676620994218584143838991056650844543993e28) }}, 
+      {{ SC_(0.9e1), SC_(0.67001715087890625e3), SC_(0.13932396494395279118751516299633800114577839547729e29) }}, 
+      {{ SC_(0.9e1), SC_(0.8115838623046875e3), SC_(0.78209357516588915667750630886227046953282003885816e29) }}, 
+      {{ SC_(0.9e1), SC_(0.826751708984375e3), SC_(0.9239201438100206122484942895031603534508035207534e29) }}, 
+      {{ SC_(0.9e1), SC_(0.915013671875e3), SC_(0.23020188368730794526744784417674030233447879296414e30) }}, 
+      {{ SC_(0.9e1), SC_(0.92977703857421875e3), SC_(0.26587057172217180147109231631091242505401497841279e30) }}, 
+      {{ SC_(0.9e1), SC_(0.935389892578125e3), SC_(0.28066940992909396296554569662089642014388342016689e30) }}, 
+      {{ SC_(0.9e1), SC_(0.93773553466796875e3), SC_(0.2870677681432185184539265574407337379961356759468e30) }}, 
+      {{ SC_(0.9e1), SC_(0.9857625732421875e3), SC_(0.4500003405401322163412586784924678900107709701962e30) }}, 
+      {{ SC_(0.9e1), SC_(0.99292266845703125e3), SC_(0.48028703540906417924253986480733367446328052415498e30) }}, 
+      {{ SC_(0.1e2), SC_(-0.804919189453125e3), SC_(0.11689816296461847274622300874825539661285328959095e33) }}, 
+      {{ SC_(0.1e2), SC_(-0.7460263671875e3), SC_(0.54679454280582535200198215910160226619047153251183e32) }}, 
+      {{ SC_(0.1e2), SC_(-0.72904595947265625e3), SC_(0.43434081837302238559608884831319578537002297874261e32) }}, 
+      {{ SC_(0.1e2), SC_(-0.623236083984375e3), SC_(0.90531705080732310437321262346769305582516409498699e31) }}, 
+      {{ SC_(0.1e2), SC_(-0.557931884765625e3), SC_(0.29928184853282382212205807781073913971873952893684e31) }}, 
+      {{ SC_(0.1e2), SC_(-0.4430035400390625e3), SC_(0.29807265173628291298939129580674147768362711153657e30) }}, 
+      {{ SC_(0.1e2), SC_(-0.383665924072265625e3), SC_(0.70756420528926763608091741538465186246363823788564e29) }}, 
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+      {{ SC_(0.63e2), SC_(-0.623236083984375e3), SC_(-0.10639249520755456192441242211860915411315791499976e196) }}, 
+      {{ SC_(0.63e2), SC_(-0.557931884765625e3), SC_(-0.99573011685276296405964197038004635064052319284641e192) }}, 
+      {{ SC_(0.63e2), SC_(-0.4430035400390625e3), SC_(-0.48571536473640903389946459864193429311269021644027e186) }}, 
+      {{ SC_(0.63e2), SC_(-0.383665924072265625e3), SC_(-0.56371743060385144846172065591557429748970112940914e182) }}, 
+      {{ SC_(0.63e2), SC_(0.9376299285888671875e2), SC_(0.14271302095518395281543621141977089654954772619788e144) }}, 
+      {{ SC_(0.63e2), SC_(0.944411773681640625e2), SC_(0.22508389703746523206446686216061289081224009447363e144) }}, 
+      {{ SC_(0.63e2), SC_(0.264718536376953125e3), SC_(0.39287053618749596805247838834868920108072746443261e172) }}, 
+      {{ SC_(0.63e2), SC_(0.62944732666015625e3), SC_(0.19872890857509752124510053434485063729806672066544e196) }}, 
+      {{ SC_(0.63e2), SC_(0.67001715087890625e3), SC_(0.10170865885145417099920546695659459436546383064557e198) }}, 
+      {{ SC_(0.63e2), SC_(0.8115838623046875e3), SC_(0.17875171562625846347044457253137830450493155571305e203) }}, 
+      {{ SC_(0.63e2), SC_(0.826751708984375e3), SC_(0.57398511841594632428896306873234439485078800626987e203) }}, 
+      {{ SC_(0.63e2), SC_(0.915013671875e3), SC_(0.34223224444163024879350378835610921837107268568578e206) }}, 
+      {{ SC_(0.63e2), SC_(0.92977703857421875e3), SC_(0.93813340474969400259457231849952645213403537063766e206) }}, 
+      {{ SC_(0.63e2), SC_(0.935389892578125e3), SC_(0.13707031097909198997249615373069943591630589477967e207) }}, 
+      {{ SC_(0.63e2), SC_(0.93773553466796875e3), SC_(0.16049849565534916612881402821512234443315362144539e207) }}, 
+      {{ SC_(0.63e2), SC_(0.9857625732421875e3), SC_(0.37334450988860541714846867055901320093308859706429e208) }}, 
+      {{ SC_(0.63e2), SC_(0.99292266845703125e3), SC_(0.58902181682496407079087992188679937502927943188616e208) }}, 
+      {{ SC_(0.64e2), SC_(-0.804919189453125e3), SC_(0.17115516418393134930956957812660695576555555762758e206) }}, 
+      {{ SC_(0.64e2), SC_(-0.7460263671875e3), SC_(0.13225145321763463912506947704427473546594227919316e204) }}, 
+      {{ SC_(0.64e2), SC_(-0.72904595947265625e3), SC_(0.30297731266319142519300755555505275478042104969272e203) }}, 
+      {{ SC_(0.64e2), SC_(-0.623236083984375e3), SC_(0.13260452858231441701364025090498088686052853448746e199) }}, 
+      {{ SC_(0.64e2), SC_(-0.557931884765625e3), SC_(0.11109867155607531886714022377600211420414450985886e196) }}, 
+      {{ SC_(0.64e2), SC_(-0.4430035400390625e3), SC_(0.43027816705124422567335810872343924647776816168804e189) }}, 
+      {{ SC_(0.64e2), SC_(-0.383665924072265625e3), SC_(0.43246575293235977119550453324173254248977085615388e185) }}, 
+      {{ SC_(0.64e2), SC_(0.9376299285888671875e2), SC_(0.26666169562221769162394467872454407158823797408949e146) }}, 
+      {{ SC_(0.64e2), SC_(0.944411773681640625e2), SC_(0.42363701592310910625385021135765655947792198743379e146) }}, 
+      {{ SC_(0.64e2), SC_(0.264718536376953125e3), SC_(0.20790668653430943824657625408670573026507147506956e175) }}, 
+      {{ SC_(0.64e2), SC_(0.62944732666015625e3), SC_(0.25015886856901675365191238194104964033185766836862e199) }}, 
+      {{ SC_(0.64e2), SC_(0.67001715087890625e3), SC_(0.13628352758104430128024379960258832981315670559497e201) }}, 
+      {{ SC_(0.64e2), SC_(0.8115838623046875e3), SC_(0.29013013909125825894222647618781410860190657751511e206) }}, 
+      {{ SC_(0.64e2), SC_(0.826751708984375e3), SC_(0.94904261445892845427164871048618979106779458453012e206) }}, 
+      {{ SC_(0.64e2), SC_(0.915013671875e3), SC_(0.62627080118909857764651282371070544817106870626377e209) }}, 
+      {{ SC_(0.64e2), SC_(0.92977703857421875e3), SC_(0.17444462292196609464011437538057068543663586540673e210) }}, 
+      {{ SC_(0.64e2), SC_(0.935389892578125e3), SC_(0.2564191346937588459943377158334215703301569930735e210) }}, 
+      {{ SC_(0.64e2), SC_(0.93773553466796875e3), SC_(0.30099950210351799644573209378329679609266360231058e210) }}, 
+      {{ SC_(0.64e2), SC_(0.9857625732421875e3), SC_(0.7360342283709939198893572318455103257992843130489e211) }}, 
+      {{ SC_(0.64e2), SC_(0.99292266845703125e3), SC_(0.11696688542326119628103847394518779891392342956315e212) }}, 
+      {{ SC_(0.67e2), SC_(-0.804919189453125e3), SC_(-0.71395604865066606122013699661891426203463873068701e215) }}, 
+      {{ SC_(0.67e2), SC_(-0.7460263671875e3), SC_(-0.439214716391687364187564024021732580606512402522e213) }}, 
+      {{ SC_(0.67e2), SC_(-0.72904595947265625e3), SC_(-0.93904227402788407947934394389327512970670916128791e212) }}, 
+      {{ SC_(0.67e2), SC_(-0.623236083984375e3), SC_(-0.25674209768421442693190102856604340847503916248831e208) }}, 
+      {{ SC_(0.67e2), SC_(-0.557931884765625e3), SC_(-0.15431436217922364421260050431856648098623138071202e205) }}, 
+      {{ SC_(0.67e2), SC_(-0.4430035400390625e3), SC_(-0.29911973822576646623652589847208017875520526334749e198) }}, 
+      {{ SC_(0.67e2), SC_(-0.383665924072265625e3), SC_(-0.19526015822885353474843208279944006332888244454282e194) }}, 
+      {{ SC_(0.67e2), SC_(0.9376299285888671875e2), SC_(0.17390093432109562491103911511920483031011929481849e153) }}, 
+      {{ SC_(0.67e2), SC_(0.944411773681640625e2), SC_(0.28235446461762290115209086851319733390024540548019e153) }}, 
+      {{ SC_(0.67e2), SC_(0.264718536376953125e3), SC_(0.30811073596496146740945598370500903220318751173999e183) }}, 
+      {{ SC_(0.67e2), SC_(0.62944732666015625e3), SC_(0.498973159123135317026153053869666153823987778347e208) }}, 
+      {{ SC_(0.67e2), SC_(0.67001715087890625e3), SC_(0.3278662999965262740459597303725252570646839606698e210) }}, 
+      {{ SC_(0.67e2), SC_(0.8115838623046875e3), SC_(0.12405627888491721174744514866737147152869324775397e216) }}, 
+      {{ SC_(0.67e2), SC_(0.826751708984375e3), SC_(0.42898198132773354897094247581039524281956225063702e216) }}, 
+      {{ SC_(0.67e2), SC_(0.915013671875e3), SC_(0.3837817535891570776096316064925826289234604649913e219) }}, 
+      {{ SC_(0.67e2), SC_(0.92977703857421875e3), SC_(0.11215923554489890999502780719902857630724401847727e220) }}, 
+      {{ SC_(0.67e2), SC_(0.935389892578125e3), SC_(0.16786882000412698244055579620069098918136636351948e220) }}, 
+      {{ SC_(0.67e2), SC_(0.93773553466796875e3), SC_(0.19854032506834645795880992848204146407286886570974e220) }}, 
+      {{ SC_(0.67e2), SC_(0.9857625732421875e3), SC_(0.56397700344853850069466092015119332034498084181404e221) }}, 
+      {{ SC_(0.67e2), SC_(0.99292266845703125e3), SC_(0.91591725002034144260314292567223030779705284774582e221) }}, 
+      {{ SC_(0.68e2), SC_(-0.804919189453125e3), SC_(0.11492944165481977844160639042749889711435705439192e219) }}, 
+      {{ SC_(0.68e2), SC_(-0.7460263671875e3), SC_(0.65529207072689878516628373246771524546998394796728e216) }}, 
+      {{ SC_(0.68e2), SC_(-0.72904595947265625e3), SC_(0.13691236470932295418206009271231802321826433996401e216) }}, 
+      {{ SC_(0.68e2), SC_(-0.623236083984375e3), SC_(0.31999427611473638064153349246682256767532212572302e211) }}, 
+      {{ SC_(0.68e2), SC_(-0.557931884765625e3), SC_(0.1721752728616940687565723581862597609692534907115e208) }}, 
+      {{ SC_(0.68e2), SC_(-0.4430035400390625e3), SC_(0.26497695928277797274126269348797127034206387419765e201) }}, 
+      {{ SC_(0.68e2), SC_(-0.383665924072265625e3), SC_(0.14979523193992880308778135191580896285724901609253e197) }}, 
+      {{ SC_(0.68e2), SC_(0.9376299285888671875e2), SC_(0.32486210198364986836850518198819815917013154840805e155) }}, 
+      {{ SC_(0.68e2), SC_(0.944411773681640625e2), SC_(0.53130717007794880022412938335190211916976004706358e155) }}, 
+      {{ SC_(0.68e2), SC_(0.264718536376953125e3), SC_(0.16304722685276499354792918086631605049027512979648e186) }}, 
+      {{ SC_(0.68e2), SC_(0.62944732666015625e3), SC_(0.62810152575355789173710546297818953525375445861782e211) }}, 
+      {{ SC_(0.68e2), SC_(0.67001715087890625e3), SC_(0.43931930018461310588579182708322391145380014657504e213) }}, 
+      {{ SC_(0.68e2), SC_(0.8115838623046875e3), SC_(0.20135390598861294342717207643575046227436307960836e219) }}, 
+      {{ SC_(0.68e2), SC_(0.826751708984375e3), SC_(0.70928840597252373257415593809153908579367912600248e219) }}, 
+      {{ SC_(0.68e2), SC_(0.915013671875e3), SC_(0.70230300036076744196859829023426726976063282233909e222) }}, 
+      {{ SC_(0.68e2), SC_(0.92977703857421875e3), SC_(0.2085580812121490632054276902743441722437005132514e223) }}, 
+      {{ SC_(0.68e2), SC_(0.935389892578125e3), SC_(0.31403357047962017949167805427442757459524063192189e223) }}, 
+      {{ SC_(0.68e2), SC_(0.93773553466796875e3), SC_(0.37234244977852621303836114362570239474544522838737e223) }}, 
+      {{ SC_(0.68e2), SC_(0.9857625732421875e3), SC_(0.11118565108245626237683701654760798812770117180759e225) }}, 
+      {{ SC_(0.68e2), SC_(0.99292266845703125e3), SC_(0.18188081940210288468029442085277750466942046125126e225) }}, 
+      {{ SC_(0.69e2), SC_(-0.804919189453125e3), SC_(-0.1850081162399338654500028296297913252183226453783e222) }}, 
+      {{ SC_(0.69e2), SC_(-0.7460263671875e3), SC_(-0.97767059274089595678968982337826854278140139586519e219) }}, 
+      {{ SC_(0.69e2), SC_(-0.72904595947265625e3), SC_(-0.19961804161143040928554705782175334155063670416805e219) }}, 
+      {{ SC_(0.69e2), SC_(-0.623236083984375e3), SC_(-0.39882904216104119883607723276479909045844467958239e214) }}, 
+      {{ SC_(0.69e2), SC_(-0.557931884765625e3), SC_(-0.19210316224226509857981603548527956113322666380888e211) }}, 
+      {{ SC_(0.69e2), SC_(-0.4430035400390625e3), SC_(-0.23473078169771562662136461616843138538409966193101e204) }}, 
+      {{ SC_(0.69e2), SC_(-0.383665924072265625e3), SC_(-0.11491609678618516149736741904351620655468528386497e200) }}, 
+      {{ SC_(0.69e2), SC_(0.9376299285888671875e2), SC_(0.60683580626155093065325198848663480816576016092558e157) }}, 
+      {{ SC_(0.69e2), SC_(0.944411773681640625e2), SC_(0.99970547300737778074794585861930502873180772144862e157) }}, 
+      {{ SC_(0.69e2), SC_(0.264718536376953125e3), SC_(0.86281343445478761898014189584430395982291880632205e188) }}, 
+      {{ SC_(0.69e2), SC_(0.62944732666015625e3), SC_(0.79064579216384384919861590442204758056478775930199e214) }}, 
+      {{ SC_(0.69e2), SC_(0.67001715087890625e3), SC_(0.58865834185481932389898790561772677853802379658932e216) }}, 
+      {{ SC_(0.69e2), SC_(0.8115838623046875e3), SC_(0.32681428977081852902063701892528533163973331914428e222) }}, 
+      {{ SC_(0.69e2), SC_(0.826751708984375e3), SC_(0.11727524620517137714481833672797036884220596207432e223) }}, 
+      {{ SC_(0.69e2), SC_(0.915013671875e3), SC_(0.1285181499939382408174721290089724705670081991561e226) }}, 
+      {{ SC_(0.69e2), SC_(0.92977703857421875e3), SC_(0.38780977658427262634355280276612655888568370486454e226) }}, 
+      {{ SC_(0.69e2), SC_(0.935389892578125e3), SC_(0.58746482535419337038893161712202335100520637411516e226) }}, 
+      {{ SC_(0.69e2), SC_(0.93773553466796875e3), SC_(0.69829049096108586661576816358605949519674563343367e226) }}, 
+      {{ SC_(0.69e2), SC_(0.9857625732421875e3), SC_(0.21919763695005329034056321076749362840532324690225e228) }}, 
+      {{ SC_(0.69e2), SC_(0.99292266845703125e3), SC_(0.36117472060917448197562379204160182702204274274195e228) }}
+   }};
+
diff --git a/src/boost/libs/math/test/heuman_lambda_data.ipp b/src/boost/libs/math/test/heuman_lambda_data.ipp
new file mode 100644
index 00000000..ca4e60e0
--- /dev/null
+++ b/src/boost/libs/math/test/heuman_lambda_data.ipp
@@ -0,0 +1,1088 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 1076> heuman_lambda_data = {{
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.2818678750410757913794876393180852564234e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.2818678686920981395211620493819441783972e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.2818678262147483408885272014604717950142e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.2818676273441119272757356679409827579912e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.2818675447220667527889979356907035957101e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.2818655648818352593674411860402038446249e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.2818507987757229791055027194834001281403e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.2818385366872922291755065634301775464772e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.2815702152773898445634354314743836776450e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.2809758423903909514038762578364688862940e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.2784224180229554914713033823346029800626e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.2726524319280258411531927893277706975739e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.1725545183347730963643632803055191857441e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.1725545204632125473212641684977724911088e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.1725545347033906108186204087779810914740e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.1725546013735001094038616590776247649051e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.1725546290721983670733641977420160184252e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.1725552928380532291558721280705499925653e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.1725602453324205931917369957095612608367e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.1725643606357686857680510944343906534434e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.1726550123018380781158670535111725714355e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.1728598753101845121239173547254956943523e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.1738016878377463689258133408244604487494e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.1762676372364995122369534103573686552922e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.0380581818880663586226249510719943739212e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.0380581789365956800186528563538346882658e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.0380581591899847111594919667164779565114e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.0380580667397099711034905923285101751054e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.0380580283304211750498167868230926253641e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.0380571079002367574282194148299012609182e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.0380502405037287237075379560968826502010e+01) }}, 
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+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.1905640437438221688849062558333532715271e+01) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.1906348112748555077782924540453417186124e+01) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.1909611017444873246999023619412659571293e+01) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.1918223025895177583025008594495692873669e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.1974154538781236674578004106725983093760e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.1974154540785592102201758504190137459256e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.1974154554195595170127202530355835319148e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.1974154616978980453158974666980425066356e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.1974154643062911329013637006045049199419e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.1974155268134088188913850140746389309934e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.1974159931996554273628973628347774674744e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.1974163807562999996761411828248122659602e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.1974249202082775850908192886429428450216e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.1974442351055607382019054413198208879590e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.1975333213546421266285140740833697348871e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.1977686753555748069425218606682657972967e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2384650184844668628199906444330895023961e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2384650155014453814040101279712900002943e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2384649955437459937116444959202694282535e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2384649021051923482099707739480082703416e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2384648632853148624915035764814947712296e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2384639330159902533207498464536297030480e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2384569922150093722469831229426930144283e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2384512248925580598337285435249893817587e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2383242229410175264006671845579463143249e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2380374935582109218860836700077338254592e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2367241491752546630991260864362645324306e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2333189870611544054532127613133079829834e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2761544017543338121503905725452833472475e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2761543958484439244725768050241464020341e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2761543563355235918871920764465278221687e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2761541713434101644768391701312195895228e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2761540944871116103158240852982330242039e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2761522527790071224337553547594725311629e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2761385150643825801860642506375723551021e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2761271045243729014493602601631136887758e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2758768668584857271933341972164117030836e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2753189331023531831253705523258288612240e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2728722459777125739106447444886522947863e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2671269581485092000197011722839561311439e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2846244064311653813320725358046862937430e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2846243998684151646665365089814021495030e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2846243559608491957923530826832797958635e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2846241503945177532277915015517391431480e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2846240649908483151130284385718120341657e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2846220185208979428257313895157755096596e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2846067570035466600746368160228287130478e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2845940855598831612881687549208528129993e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2843172619561956674050373200317977103446e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2837069841192149963858043614818354578765e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2811225848626158110286641796510837599690e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2754235235945252672131774219770120143321e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_0F2.ipp b/src/boost/libs/math/test/hypergeometric_0F2.ipp
new file mode 100644
index 00000000..33e327b6
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_0F2.ipp
@@ -0,0 +1,269 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 255> hypergeometric_0F2 = {{
+      { SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(1.0013550123274012503281643629835481621491e+00) }, 
+      { SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(-6.1255645751953125000000000000000000000000e+01), SC_(1.0008045482288008613878905914537628888437e+00) }, 
+      { SC_(-4.6428833007812500000000000000000000000000e+02), SC_(-1.3870599365234375000000000000000000000000e+02), SC_(3.4912927246093750000000000000000000000000e+02), SC_(1.0054361590960244514317052562813343972063e+00) }, 
+      { SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(9.9937142193458336300712662386851304924744e-01) }, 
+      { SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(-4.0286828613281250000000000000000000000000e+02), SC_(9.9747330394796032410538209647331764537338e-01) }, 
+      { SC_(-3.8753552246093750000000000000000000000000e+02), SC_(4.1573547363281250000000000000000000000000e+02), SC_(1.3976336669921875000000000000000000000000e+02), SC_(9.9913288567800670560465376832731165310591e-01) }, 
+      { SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(9.9990234705498153808404610903859529590335e-01) }, 
+      { SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(9.9348140693863510115749506422371573420155e-01) }, 
+      { SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(-7.8238739013671875000000000000000000000000e+01), SC_(9.9955892792802478635575395801641016109872e-01) }, 
+      { SC_(-3.2613488769531250000000000000000000000000e+02), SC_(-3.2881335449218750000000000000000000000000e+02), SC_(-1.9808691406250000000000000000000000000000e+02), SC_(9.9815453602218599515426271662441282707593e-01) }, 
+      { SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(9.9855044188853804894946990947110500188253e-01) }, 
+      { SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(3.4071728515625000000000000000000000000000e+02), SC_(9.9547392211818475702670044866243182131780e-01) }, 
+      { SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.0006794383636374608834847128496473193998e+00) }, 
+      { SC_(-1.9183294677734375000000000000000000000000e+02), SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(1.0006118143959052029406077900452398537572e+00) }, 
+      { SC_(-1.8344958496093750000000000000000000000000e+02), SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(1.0091425903971098776250072125842027790700e+00) }, 
+      { SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(8.5267700195312500000000000000000000000000e+01), SC_(9.9858309073053077899790756504828564947261e-01) }, 
+      { SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(1.0049771857160769715415635506383574939497e+00) }, 
+      { SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-7.7912322998046875000000000000000000000000e+01), SC_(1.5547790527343750000000000000000000000000e+02), SC_(1.0186926506384631817121334358716076224150e+00) }, 
+      { SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(9.9770859113172567045095290396207748713121e-01) }, 
+      { SC_(-1.9458435058593750000000000000000000000000e+01), SC_(1.7170547485351562500000000000000000000000e+01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(1.1843708637562542794889169551315847867164e+00) }, 
+      { SC_(-1.8622161865234375000000000000000000000000e+01), SC_(6.5442199707031250000000000000000000000000e+00), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.1052961337782846547617500779699305041287e+00) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.1709699265294645468109432587150419519616e+00) }, 
+      { SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(9.2483070051031126644961165795654718381906e-01) }, 
+      { SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.3371925642946384664229703773889948055531e-01) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(8.9727834112725954814592158721591001531270e-01) }, 
+      { SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-1.7586879730224609375000000000000000000000e+00), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(9.8798390454175472844979515494836456136983e-01) }, 
+      { SC_(-1.4964134216308593750000000000000000000000e+01), SC_(-4.7376632690429687500000000000000000000000e+00), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(-1.6307154809189961783800358984496085912050e+00) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(-1.9808662414550781250000000000000000000000e+01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(9.4653528197910165241384386830302720544485e-01) }, 
+      { SC_(-1.3045394897460937500000000000000000000000e+01), SC_(-1.3152534484863281250000000000000000000000e+01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(7.9729506879938767419504797215381191262438e-01) }, 
+      { SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(8.5163048830387097953496533791624327293711e-01) }, 
+      { SC_(-1.1523029327392578125000000000000000000000e+01), SC_(1.7359725952148437500000000000000000000000e+01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(8.3463455244679145149454273225637625080044e-01) }, 
+      { SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-5.4413787841796875000000000000000000000000e+01), SC_(8.8207047103340533881092961234370287124678e-01) }, 
+      { SC_(-9.6996726989746093750000000000000000000000e+00), SC_(1.2389381408691406250000000000000000000000e+01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(5.6971226882974825102327326343955088655941e-01) }, 
+      { SC_(-8.8600730895996093750000000000000000000000e+00), SC_(-1.2464721679687500000000000000000000000000e+01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(1.0895185083879982269540444508574348779709e+00) }, 
+      { SC_(-7.6733188629150390625000000000000000000000e+00), SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(1.0801829563303742714796062386840372944152e+00) }, 
+      { SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-8.9230842590332031250000000000000000000000e+00), SC_(7.4485748291015625000000000000000000000000e+01), SC_(-9.7375683797737559231310591870347355470131e+04) }, 
+      { SC_(-6.3845710754394531250000000000000000000000e+00), SC_(1.5070297241210937500000000000000000000000e+01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(8.3898488099816853847904405648254326769818e-01) }, 
+      { SC_(-6.0006504058837890625000000000000000000000e+00), SC_(1.6294586181640625000000000000000000000000e+01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(2.8785236681083962893832262874724843440580e+00) }, 
+      { SC_(-4.3109188079833984375000000000000000000000e+00), SC_(-3.1164932250976562500000000000000000000000e+00), SC_(3.1095581054687500000000000000000000000000e+01), SC_(-2.4338784712090861161103813511742621752907e+05) }, 
+      { SC_(-3.0733947753906250000000000000000000000000e+00), SC_(1.8371650695800781250000000000000000000000e+01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(7.9969594372684567479200044534448737112353e-01) }, 
+      { SC_(-9.7292184829711914062500000000000000000000e-01), SC_(8.5852718353271484375000000000000000000000e-01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-3.8479643557626853493282070912407630508011e+03) }, 
+      { SC_(-9.3110799789428710937500000000000000000000e-01), SC_(3.2721102237701416015625000000000000000000e-01), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.3274006715855418802747314856512628074356e+02) }, 
+      { SC_(-9.2857670783996582031250000000000000000000e-01), SC_(-2.7741205692291259765625000000000000000000e-01), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.5957327900372311760684559064565560425989e+07) }, 
+      { SC_(-9.2711758613586425781250000000000000000000e-01), SC_(-6.2625479698181152343750000000000000000000e-01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.6481448511821567942224413485705877737751e+03) }, 
+      { SC_(-9.0765738487243652343750000000000000000000e-01), SC_(-7.0177221298217773437500000000000000000000e-01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(-2.9128274990676818556608864647623770251180e+03) }, 
+      { SC_(-7.7507114410400390625000000000000000000000e-01), SC_(8.3147096633911132812500000000000000000000e-01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-1.0117101938884752665856634793174177451829e+04) }, 
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+      { SC_(1.2833629608154296875000000000000000000000e+01), SC_(2.3828315734863281250000000000000000000000e-01), SC_(8.8014801025390625000000000000000000000000e+01), SC_(2.0522664314371239993932474771758162491563e+02) }, 
+      { SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.3773559570312500000000000000000000000000e+01), SC_(6.2533688088926754811859161270845720628984e-01) }, 
+      { SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.6471855163574218750000000000000000000000e+01), SC_(8.6665632633084739056152697596877041057703e-01) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(-1.5605529785156250000000000000000000000000e+01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(1.0103026896041773017354219597019763585889e+00) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.8707794189453125000000000000000000000000e+01), SC_(-6.8477386474609375000000000000000000000000e+01), SC_(8.1970974601224314505763503611136167469695e-01) }, 
+      { SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-3.3510345458984375000000000000000000000000e+01), SC_(1.1917262344050289610135662112296735911490e+00) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(1.3120804234519319804237476312835263605802e+00) }, 
+      { SC_(1.9762741088867187500000000000000000000000e+01), SC_(1.2938312530517578125000000000000000000000e+01), SC_(6.4380645751953125000000000000000000000000e+01), SC_(1.2817254805809260285294554516970119028856e+00) }, 
+      { SC_(4.7215515136718750000000000000000000000000e+01), SC_(-3.4194250488281250000000000000000000000000e+02), SC_(-3.6137561035156250000000000000000000000000e+02), SC_(1.0226309476378112898976543388411657744031e+00) }, 
+      { SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(2.5774011230468750000000000000000000000000e+02), SC_(9.8586076548119042518076397539909257012054e-01) }, 
+      { SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(9.9826555310121491756334118823497873454182e-01) }, 
+      { SC_(1.9482861328125000000000000000000000000000e+02), SC_(-3.7481726074218750000000000000000000000000e+02), SC_(-1.8290051269531250000000000000000000000000e+02), SC_(1.0025077558685747818258257430550175436007e+00) }, 
+      { SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(9.7776877363038301340159194122578185239853e-01) }, 
+      { SC_(2.0604608154296875000000000000000000000000e+02), SC_(2.9727990722656250000000000000000000000000e+02), SC_(-4.6816723632812500000000000000000000000000e+02), SC_(9.9238577026512882200354686225669434983401e-01) }, 
+      { SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(1.0028944958114437118136349433731517136021e+00) }, 
+      { SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(9.9797696561938967233481685670351275504285e-01) }, 
+      { SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(1.0045370839403678094885983819734095280482e+00) }, 
+      { SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(9.9956868458262201774926765165240721223391e-01) }, 
+      { SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(9.9697050557993868496719715657438194438304e-01) }, 
+      { SC_(2.6173120117187500000000000000000000000000e+02), SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(1.0029440955622504123432909399947696491827e+00) }, 
+      { SC_(2.6375000000000000000000000000000000000000e+02), SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(9.9992075039237587246879146010182205306644e-01) }, 
+      { SC_(2.6551684570312500000000000000000000000000e+02), SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(9.9752571207922378499500009873424873777641e-01) }, 
+      { SC_(2.7391711425781250000000000000000000000000e+02), SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(1.0005858421906349963985855765556454843429e+00) }, 
+      { SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(1.0041638797684560593149320756621512436288e+00) }, 
+      { SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(9.9773511249861368695030903074489543409392e-01) }, 
+      { SC_(3.0753100585937500000000000000000000000000e+02), SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(9.9701699937223895470381479673430418968250e-01) }, 
+      { SC_(3.0817541503906250000000000000000000000000e+02), SC_(-2.7618811035156250000000000000000000000000e+02), SC_(-4.8222619628906250000000000000000000000000e+02), SC_(1.0056817113332697933823605681340005184737e+00) }, 
+      { SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(1.0040852045181959166386631399212520283122e+00) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(9.9646913231249277134534078280742311695748e-01) }, 
+      { SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.2542221647407933480773650336985701643284e+00) }, 
+      { SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(9.9625496323957175957403384283666340287255e-01) }, 
+      { SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.3235925292968750000000000000000000000000e+02), SC_(9.9885288090238247116006158310367961013934e-01) }, 
+      { SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(1.0000819976102168803390282401342006019679e+00) }, 
+      { SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(-3.4238696289062500000000000000000000000000e+02), SC_(9.9842650500965237149048741000997556591022e-01) }, 
+      { SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.0013967937499620519908303274499378625775e+00) }, 
+      { SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(1.0022040512881354342858258741438783825509e+00) }, 
+      { SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(1.0020163030217476522591853266650047605351e+00) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1.ipp b/src/boost/libs/math/test/hypergeometric_1F1.ipp
new file mode 100644
index 00000000..6f16dac0
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1.ipp
@@ -0,0 +1,2573 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2560> hypergeometric_1F1 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.1192211540270692135684850769467754943864e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(2.5143811314216628861217890131957547270332e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.8490645992100905657010395716213517079320e+04) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.2584998744350866041098736430457431758187e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.6000347009421229528205145741103121287486e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.9310911983866698694771550134279429856052e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(2.6330059700153438121714438258323563534913e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(2.2537006694081032175908514583194485875714e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.6237309362366581930053548040412248168521e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.9626220234068125064350589227213124310459e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(3.3200784547211743132061867908668953518000e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(6.0959134328264263700796956004993971891222e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(1.6540578259446250549219669834573986864094e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(4.0170925241529790410295616043598253646110e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.5155993297162409281822542019370194297033e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.9360683328099093749507850506373936413405e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(-9.7525833709353354966279157903896435385931e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(-6.2825210881714224212672547825813138849727e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(-3.8757505732987639831380304268522524550201e+13) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.4497155514636404513968826200000866632580e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-5.8263811346507854556425569414825426998446e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-1.5535497967956674593905372806396195361000e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-2.4531729513823375531857961435127834737997e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-4.8449036469827200268157658927345360703885e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2023016806095826062560744356589208962321e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.5117908330406493968101436984219340382937e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.3805493458724361725255413925649780149519e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.8625136572679071818542020295525974734853e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-4.0742388232269332201527679924750480985781e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.0401820915092759295927802900824189286969e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.2171854266988646271515043865783488146673e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.2273907467953269510681662585494726655634e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.1662899752201558926692508855790084872754e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(5.6930811346973633228760609012281444374845e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(4.6392501669169102298863828043571358947474e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(2.1505542162847578119830769451665124064327e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.9753772535784104155251163229589487376403e-08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.8693544100889813009208758683031529490469e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(7.4392694539110955728991171086048010844426e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.9471039344612588380101299129118206752508e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.4926608456056184648659183467188639954264e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.2019789969070818410907631377317029885175e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(1.1481295077183033833177281867723829306898e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.9163769347312715966829685000237278929992e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-6.7590218595561886672742019750656682985281e-08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-7.1408528842372123431928924769184198810448e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-7.6215693462067825051980362257113338664859e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.4844480302368899715476035090290400119866e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2854301294129886596311808819952551214732e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.0365225308704905309719589243773442996394e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(1.0060350390412309332950846748626577512966e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.1485939034768644279791008360361077831082e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-1.7164957529742235623423273478714423059286e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-5.1028323267342914664951259167278678269296e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-6.4019735175162124788647358321468454636222e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.2802251093504580453605415737875243656637e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.7104821806071019992487684423413509304853e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(3.8348835076786326524031386558176679447254e+05) },
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+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.8682080987525243418673873775512123462077e-09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(3.4157255327842071567821610795562527419734e-07) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.1789448226007626835790402945784435614249e+09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(4.8908537858870160654329414995371469496558e+09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(7.3401453993505697447343177386876780111508e+11) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(1.2606199568756346082511449147103470673071e+12) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(6.7308975315302781016305361824663266984848e+13) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.6295399432189323162542831232082150482646e-08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.0194297154567438456087626808728266472124e-07) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(2.3119032708921826042467399899541287797659e-06) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.6411993227997707183522199448336883950595e+08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(6.1374461568405594813525139923227866410862e+08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.5384616052888809928433157372272489553006e+10) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(1.0842828456086984753186911473077983080517e+11) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.5218251677481531875880698139531607502434e+12) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big.ipp
new file mode 100644
index 00000000..39672f8a
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big.ipp
@@ -0,0 +1,2397 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2383> hypergeometric_1F1_big = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(5.7183779146807201355480824984892132235960e-303) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.5361996854293809244896531977363790923005e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9999192613200886724554310382028215474902e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999999923885327874863869424680507532e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999999981580490644e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000001841950309e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000007611464321313317477012823766e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0000080739307536377053237113957031793278e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9427265531428195368467688302986839087070e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.4344740319146998786059365435241788270263e+302) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(4.7355294125240463700963297602819475658243e-273) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9951457445898342315093964000398654244912e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999995422661377551679511532637609393e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998892298564409e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000110770105857e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000457733688396162733887274883634e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0004856611588072199743182877998224950270e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(6.0889904945622204539981795208905638705257e+280) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9927404853401060452253718538570738021733e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999993153789197646762190948811399195e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998343238689613e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000165676074649e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000684620820229755745096755095999e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0007264786742716772618787371272944909893e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9215321391933553114412688842084361158008e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999925734404774919422813503386276852e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999982027961385444e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000001797203249755e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000007426556707058694021282093761226e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0079088926137324761328829498026828704710e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(5.9998117541687286664272909666416178234200e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999995116626275467696724155639930307403e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999998818239009467894e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000118176058830539e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000488337212127525404244395189345121e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6917446896910904323205164624667509881679e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-1.7243402644277887526870971660149662928095e+07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3599493898768427435547004338219380315698e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999998451098534762550169493e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000154890093805001367396e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0640049771627091095794948499640174555599e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-4.5950273775682656730291772960903005536036e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-1.8290613374563599457053407788957871065839e+14) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.7893586006614775556160000949347550397558e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999983569950864277282093333831061e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000001643004354355583435350384120e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7893697063646394168501132782926169309826e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-4.8742128427029132904910580410079419166896e+11) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-7.5582036131197014425108664027593120084039e+32) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-2.8055609310398110739892777481442607830150e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-6.7893553536143344671176095155420900325921e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7893730427713310657647817330657815119202e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(2.8055572556624400917171976667898419540690e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-2.0141638973219641225256880082443388391236e+30) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(7.5582057568925927548206194871759798891917e+32) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(2.8055617267957574271665117771654634081188e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7893772793176019775048899265889779277747e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-6.7893549684739431396435548304850505742027e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-2.8055580514173439783538891938640074049972e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.0141644686098233492407586903414212024575e+30) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.8290613374486009454079229500387425981018e+14) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(6.7893786006614775469635418473169292639814e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000001643004913572271790666616894e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(9.9999999999983569956456444165646496158802e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-6.7893497063646394255025609284765510112248e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(4.8742128427056948310046232769031011241206e+11) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.7242631060607458979358784130576958516793e+07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.0640050770335244012958752974918705090146e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000000000000154890185296637908674e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(9.9999999999999999998451098674221189038064e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3599500681437271362439272929559256881521e-01) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-1.8290796824608032482258266745747887295678e+14) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-2.0141395465671777444950784377655180190826e+30) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(2.8055574604543653324734158977256621025108e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7893732702807647711518075801686201999067e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-6.7893509594384704576963840755113911337243e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-2.8055590044603941525998569974989072297741e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-7.5582794199152563791540640987991712663453e+32) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.0141401178481302390465148361310468208133e+30) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-2.8055582562093273053168522016478830029429e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-6.7893551959834413747232776054001247483155e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7893728851404916249604691026578576800515e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(2.8055598002157940599629312776448652137109e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(7.5582815637096491700699021924404217275460e+32) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.8741539146503031621683817187922115128395e+11) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.7893502019546127230288629926305868496325e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999983569955905878541330810926432e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000001643003850195629108628156449e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7893739384003036009361956105538269892648e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.8290796824530441508362119089713695205582e+14) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.5950007903684897096829443288669639798311e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3599500214232199852350645542771384571553e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999998451098622317989684385e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000154890085049460395962e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0640050330812214485669225932069526430923e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.7242803998701197650668664301258321474812e+07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(5.9159782685389816916590913648432099656137e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999995116625805428641692798398880675938e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999998818238898757930e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000118176069901532e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000488337256620639695747634027005406e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6678316937861867696400884793170285016543e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9215316418737149226523245135972225469657e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999925734398611665631682676581261943e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999982027959893966e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000001797203398903e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000007426557323375046576473056304090e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0079088434099102584941115483587237061025e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(7.3454325098384925826197781329328162278603e-430) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9927404871854877360854293883769165356657e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999993153791298423464592157746054003e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998343239197994e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000165676023811e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000684620610152158489618339138857e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0007264784130725688212246595368628008928e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.6440079570631358173132305943598176997699e-281) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9951457441002139080866428718275237747073e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999995422661022388801920803935631325e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998892298478461e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000110770114452e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000457733723912434994779303043302e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0004856611851823525195328509863604944085e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.1135857820542275762062982236299021203795e+272) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(6.9726839879958746145355313362044604125177e-303) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.5363241241342035331594199304277749557031e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9999192613448637029913157605341084793554e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999999923885351230839476243681814012e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999999981580496296e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000001841949743e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000007611461985716643970045090242e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0000080739282761487313229375421023837981e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9428943964254881723168603560241682102422e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.7483740769510674849517097791174324335485e+302) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp
new file mode 100644
index 00000000..112d2799
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp
@@ -0,0 +1,21 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 7> hypergeometric_1F1_big_double_limited = {{
+      { SC_(-9.6886797109618782997131347656250000000000e-06), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(9.9998253928322852691286461253432557187618e-01) },
+      { SC_(9.6886760729830712080001831054687500000000e-06), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(1.0000174610171120995494972331285845784973e+00) },
+      { SC_(-9.1337614555042634378878574352711439132690e-13), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(9.9999999999835391995458077011747081732328e-01) },
+      { SC_(9.1337571186955734958701214054599404335022e-13), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(1.0000000000016460792638453549919301101979e+00) },
+      { { static_cast<T>(std::ldexp((double)10485392221989376, -40)), static_cast<T>(std::ldexp((double)-11440692920695040, -40)), static_cast<T>(std::ldexp((double)15790527852544000, -44)), SC_(1.18289892801537469540400591236035802241505227e+161) } },
+      { { static_cast<T>(std::ldexp((double)10485980564770816, -40)), static_cast<T>(std::ldexp((double)-10424015334037760, -40)), static_cast<T>(std::ldexp((double)12850940076032000, -44)), SC_(-5.63691240015269602721075116789607623755153984e-99) } },
+      { { static_cast<T>(std::ldexp((double)10485102088130304, -40)), static_cast<T>(std::ldexp((double)-12174307949802496, -40)), static_cast<T>(std::ldexp((double)17027372515328000, -44)), SC_(-619367491691927041975872.474550388407917992627) } },
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp
new file mode 100644
index 00000000..4a098d85
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp
@@ -0,0 +1,35 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 12> hypergeometric_1F1_big = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(4.9489925464971372677922628162736666342744e-401) }, 
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.5898494644592200447792014846620256493447e+43) }, 
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(8.3580772868001229331683618349570363666238e-49) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000000000000000000000001841950482e+00) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.4143132578451013939933694899988696371695e-285) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.8816883172369257616825726933718953221443e-48) }, 
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(-1.9968249288530089023473568880955473893079e-200) }, 
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-6.9968853248890935672930771162399978395619e+106) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.3178378214666009047858314720801604745108e-400) }, 
+
+      // These next 2 should be solvable by A&S 13.3.6 (which does converge nicely for these inputs) but gives the wrong results:
+
+      // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+      { { SC_(-5.9981750131794866e-15), SC_(0.499999999999994), SC_(-240.42092034220695), SC_(1.00000000000004464930530925572237133417488137) }},
+      // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+      { { SC_(-5.9981750131794866e-15), SC_(-0.500000000000006), SC_(-240.42092034220695), SC_(1.00000000000003262784934420226963147689063665) }},
+
+      // This one is not too awful, we simply have no better method to improve the error rate:
+      // Unexpected high error : 663646.042870225268416106700897216796875 Found : 3.2303512071340211020409327602465054951608181e-07 Expected : 3.23035120665799970299144868238205852151168074e-07
+      { { SC_(1.3785990114778025e-10), SC_(-0.99999999986214005), SC_(-3059.6150326728821), SC_(3.23035120665799974283996469721682549854387981e-07) }},
+
+}};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp b/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp
new file mode 100644
index 00000000..e87443cc
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp
@@ -0,0 +1,525 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 512> hypergeometric_1F1_small_random = {{
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-6.0578133795338771807914542394423097784312e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-4.2629221827214476289450605410767463229413e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.1420600673577551684343184889890782039808e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(4.6549360518646681912216258020249589194284e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.0265493171455343234400728774614777155838e+06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3967144700010162771560607627370644163103e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8250794750569058416086979379365475589740e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2309523541272620250099190622367582626138e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.2855614987939496930875473152426286733340e+10) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(3.8669459997258647094663831763157735745831e+10) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.0514246519661881369608735922752109633659e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1172705179905930516504576753453180135315e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1832887320858921363869110588116464085771e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(7.3320112927934212101555413508931525023065e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.0268975553354738854637567365813196985563e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.6874573394773905777796041306114389147700e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.1989539219190365351299833491996336922842e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8894176498265838967612097238992226655969e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.6521349860645664571395498516248737801550e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-7.9965351801351068182544390352654527597974e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.3443955361690253710359920766938221868510e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6715801850599329113888396268349420290184e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8189420343349571525478843028876274491794e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1658763232911819859902138099116413203592e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5670145172858639910784798616014438326848e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3505676338816138948159832359173370818393e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.7054704087396405833672214515503944931885e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8011535892784451992487023483324227105376e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-7.1644358626415491804864782440440637597976e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.4000329115595817714545552969885615119490e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(9.1410919180653436669585849183246001717522e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(3.2186884192070860308578815852209554773358e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.6449628347049920034132752188153310983823e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.9137084156912851306010547587449555596374e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.1040396786489372945099179347243447381418e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9970206644090035762195506703568019902269e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(3.7559440609855314028372435364328560462573e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-3.4216478343038136772422729854406626419965e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-3.4221101490033313848022866474309421464624e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4263596968144243123015049822712650844623e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.1243680862823312928567175014433964551909e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.4649900741995189687740863907774694642193e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.0147796609043424793300235109905125644633e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.1060599705789567218314411207527577397969e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(3.4907480420480231769767676618398510232266e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.9041621925172190961303555771795657906625e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-3.1116641567529802374902389587400950237174e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.4422835478933816738535662804601488032637e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.6821761835815310418326149340607662295557e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.3532606320759611042488323726715012095548e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.7901024588453629014694171480502272966594e+02) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.4415328976051365725092911216704515173059e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-5.3140285596123391966881705133801611200206e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(7.8373068873386762880729094337970488531995e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(3.2399279041930723747120018704848547261193e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4844493347101439224683098657410390361681e-05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5295363119981548432477817961911347884918e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.0760474608915101604896460036340644439742e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.7847284175382149640209289575093299662281e+03) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.5797295124645983704336977220361885928953e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.4686361335340117787094919491783865467739e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6923902705266714606977231482224281502211e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.3949613253296433952920990672285022624418e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.9133807144107665152166675735396934343908e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4121986020116719336513101403429615978892e+10) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7715650262931614083807558987859641104350e+10) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.0211976874414691093822916494094145202953e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2333324824661804044106129536125493288080e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-3.5926009120090977437980402660995802836312e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(3.3569360443733178479863749801886215845067e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(5.2945502077251844191270359032333436225263e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(5.8080657175636251990970364230737566272893e+09) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8032861699573921010497549726710535169614e+04) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.5539346291698192484388303421884155066598e+04) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.0992397958104072841964166291852590818105e+03) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-5.6657128625670909382146485720636985017468e-05) },
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+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2597403666720717146576510741149742483034e+25) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(9.2664178436164317665277902918954034538230e+27) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8190615678713277684864915572574398896348e+28) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.1616631109398825886200779976466403808998e+30) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4139881435092200947670874172981153369396e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6714153765383299037375128990008313257288e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.8961219114157176009203753643741401272383e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6170735637748533369011241074730568849583e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(4.3538757721347850395141280798132441423945e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3247117778591164816461171410454867687330e+09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.9035594447417219646912897871397447981090e+09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.6543560716040885951347022286983486927033e+10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.2641356488262031155151336633004067475305e-10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2610346648539095125131840493711504523632e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8681828984038410005572396715146464266342e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(8.5387686758153553359516348505834386130386e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.2404112697061464627834364767519114509809e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2714163706058565731054540761376631007250e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.9365593665353087599545649419662464718217e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.1752710297767515765591266019206780271583e+10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1492896571744523966974190971761814891321e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.5650206266819267073855727677151521184391e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.1255936611185462320692055413437162854227e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2224150652257202079653653002301168169908e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.9468837164738657077909646958494664127708e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2630946752114898730425989148728917021982e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.6796693509628163998328813105234762826280e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(9.3914114153622278068435254456419222813017e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.2436646885496169830438464415251725982313e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.5544087033210144463951641400055154118599e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(7.7183950873317155964308966865051892388579e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.0156389799403500669478284838514371698044e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4274842558080851917896568397129443739949e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(5.0163489606219798790064747772030434421459e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.9320762490630180220354517542992633577637e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(7.3516047749839877587097845911430358353540e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_1F2.ipp b/src/boost/libs/math/test/hypergeometric_1F2.ipp
new file mode 100644
index 00000000..98ae293a
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F2.ipp
@@ -0,0 +1,217 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 203> hypergeometric_1F2 = {{
+      { SC_(-4.9536584472656250000000000000000000000000e+02), SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(6.2953633625840198330241832636073870213647e+00) }, 
+      { SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.2954168492018348021567539085069725582696e-01) }, 
+      { SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(2.8406789544837496409837534677181916029002e+00) }, 
+      { SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(4.3621387519835661716303050453655954333981e+00) }, 
+      { SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(8.9770347887034762646255416767297731004656e+00) }, 
+      { SC_(-4.1556420898437500000000000000000000000000e+02), SC_(-1.5376660156250000000000000000000000000000e+02), SC_(-1.0021734619140625000000000000000000000000e+02), SC_(3.5587512207031250000000000000000000000000e+02), SC_(4.0952594655659526604226152771672138770580e+07) }, 
+      { SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(1.0392018562107877165208393046336826121615e+00) }, 
+      { SC_(-4.0286828613281250000000000000000000000000e+02), SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(4.4308313520337312066670250774889362476371e-01) }, 
+      { SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(1.1195384661700382236382001507705022784189e+03) }, 
+      { SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(2.7391711425781250000000000000000000000000e+02), SC_(-1.2900365105767572521165387360306912062493e+52) }, 
+      { SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.7088983160726331161548448241078207728564e+00) }, 
+      { SC_(-3.5446105957031250000000000000000000000000e+02), SC_(-2.1732672119140625000000000000000000000000e+02), SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(2.5928803317535669685163913495588679602266e-01) }, 
+      { SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(1.9142889445713712115260413093057932942367e-01) }, 
+      { SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(1.1480130815171587388506615460208536579504e+03) }, 
+      { SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(2.0983327605520708176806967283659011097557e-01) }, 
+      { SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(1.1869817799931480728760769672044110585667e+00) }, 
+      { SC_(-3.3435131835937500000000000000000000000000e+02), SC_(-3.8045288085937500000000000000000000000000e+02), SC_(1.0198193359375000000000000000000000000000e+02), SC_(-2.8043212890625000000000000000000000000000e+01), SC_(7.8509068293092183850912864620461919495373e-01) }, 
+      { SC_(-3.1815307617187500000000000000000000000000e+02), SC_(4.8236047363281250000000000000000000000000e+02), SC_(-2.3619708251953125000000000000000000000000e+02), SC_(-4.0464489746093750000000000000000000000000e+02), SC_(3.2284305619312206575036028397068097398837e-01) }, 
+      { SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(2.0681843344609826233997194529693269163853e+12) }, 
+      { SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-1.1434801258896651208704659123724449421769e+05) }, 
+      { SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(4.5501757812500000000000000000000000000000e+02), SC_(4.8984161004382169077893149986653301379522e+00) }, 
+      { SC_(-2.7102307128906250000000000000000000000000e+02), SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(2.3772578658335831769915649816518556238736e-03) }, 
+      { SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(8.4892537677592787989991483572127549572789e-09) }, 
+      { SC_(-2.6008386230468750000000000000000000000000e+02), SC_(-4.5952893066406250000000000000000000000000e+02), SC_(-3.7668115234375000000000000000000000000000e+02), SC_(-2.4704406738281250000000000000000000000000e+02), SC_(1.4495627712429950621933072560877302044965e+00) }, 
+      { SC_(-2.5830871582031250000000000000000000000000e+02), SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(1.0935759282076007044751382503570393444482e+00) }, 
+      { SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(1.3250416124772042353426751277966619703625e+00) }, 
+      { SC_(-2.3702874755859375000000000000000000000000e+02), SC_(-1.5978033447265625000000000000000000000000e+02), SC_(1.5407910156250000000000000000000000000000e+02), SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.3326049952467952598653371651232863684134e+00) }, 
+      { SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.9056234941228406055930919346670994692304e+01) }, 
+      { SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(6.2898720554615802418327146735741736394814e-01) }, 
+      { SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(4.9288122558593750000000000000000000000000e+02), SC_(1.0487435494209809074694724050956547440689e+03) }, 
+      { SC_(-1.8878497314453125000000000000000000000000e+02), SC_(3.6267810058593750000000000000000000000000e+02), SC_(2.8533142089843750000000000000000000000000e+01), SC_(1.2036004638671875000000000000000000000000e+02), SC_(9.9383072015492347795086661518016762849065e-02) }, 
+      { SC_(-1.6228057861328125000000000000000000000000e+02), SC_(3.8772607421875000000000000000000000000000e+02), SC_(4.0005383300781250000000000000000000000000e+02), SC_(-1.5616046142578125000000000000000000000000e+02), SC_(1.1773064181329539807646132943923713860725e+00) }, 
+      { SC_(-1.4904760742187500000000000000000000000000e+02), SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-2.4029573460782352192606632604885723921759e-06) }, 
+      { SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(1.3554151740644619074420270217185158298084e+00) }, 
+      { SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(3.1576904296875000000000000000000000000000e+02), SC_(8.1520938504033295486071048439136075568494e+00) }, 
+      { SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(1.2748509702084167484662551181100799157721e+00) }, 
+      { SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(1.1794084458977569869956360625369446312629e+00) }, 
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+      { SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(1.3224555718324446086245358664858068925167e-01) }, 
+      { SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(5.3606043569822407678700658098436422934217e-02) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(4.9070868113724046848391473903549599477217e-01) }, 
+      { SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(3.6869470214843750000000000000000000000000e+02), SC_(1.7951971435546875000000000000000000000000e+02), SC_(3.2486969100887639397686279274711519871883e-01) }, 
+      { SC_(3.1762768554687500000000000000000000000000e+02), SC_(-1.3913928222656250000000000000000000000000e+02), SC_(2.9483142089843750000000000000000000000000e+02), SC_(4.1711791992187500000000000000000000000000e+02), SC_(4.0997442016031168571088908036165895223187e-02) }, 
+      { SC_(3.2119396972656250000000000000000000000000e+02), SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(7.0176937304609757982265942290364945142837e-01) }, 
+      { SC_(3.4071728515625000000000000000000000000000e+02), SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.6098537510564271775154622946473632101740e+00) }, 
+      { SC_(3.4912927246093750000000000000000000000000e+02), SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(6.0294254404337351532959084802691688193664e-01) }, 
+      { SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(2.9227845424513001188641505257754927836543e-03) }, 
+      { SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(1.2738433837890625000000000000000000000000e+02), SC_(2.4550012097873731086926329665170573166183e-01) }, 
+      { SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(4.1008638464621294670577937874274757421403e-01) }, 
+      { SC_(4.0271606445312500000000000000000000000000e+02), SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(7.9792084394359697149364995431404904951076e+00) }, 
+      { SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(1.6677161550201597911217819138227481518146e-01) }, 
+      { SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(6.9169828474031185548966363292999294270636e+01) }, 
+      { SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(3.8677599404919126050288702417981127634707e+03) }, 
+      { SC_(4.3401062011718750000000000000000000000000e+02), SC_(4.6496630859375000000000000000000000000000e+02), SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(2.3932234491787327738182561861870260515121e+00) }, 
+      { SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(1.5196862792968750000000000000000000000000e+02), SC_(1.3821127954875742281701612743057268242803e+00) }, 
+      { SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(8.4971823818350884090250702761334177048449e+04) }, 
+      { SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(2.2895900262598367967724720672458868414459e+07) }, 
+      { SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(2.5250277249663024383341030945760911735103e+00) }, 
+      { SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(1.9308146485371088709212764705092521101549e-07) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp b/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp
new file mode 100644
index 00000000..d0c0320c
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp
@@ -0,0 +1,2022 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2008> hypergeometric_1f1_large_regularized = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.0276663579159193006951037397981254601813e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(6.7129875507034971595620263116260431712429e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7129878785237833504309558423436229226113e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7129878785237833504309560010065400162665e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7129882063439619148485089154693302002749e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.1356661595453269338409583627017301161607e+16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-4.4961264612476914793427869087364885977294e+72) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059660579261572510917574295320572992652e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-1.3602718650614843079637735827878150847154e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.4532897651483803866724488114571994275810e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.4532897651483803867174688567286966894045e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-1.5463075433775013585809069442820986244113e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779062583965630305716417992355873640682e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9609926727072889915880225396661994166653e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983409045286278997685820494014182e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018543397254310147086821986620071089127e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.3700637846434619423646541192532193067304e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.3700637846439121465940532661296084221633e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018695552471360836728197654473932529617e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944324178296635393118565891539927e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253473482147926803512057213604147013e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983375711117960278608577385878886e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018680403706335701290922818235855933469e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(2.2510182145678120277553565223562021634050e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-2.2510240794272170514802442713301279884300e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018558546166457675699928272254372974062e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944396043709566009459680439185644e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472853091160352830937648227098010e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983375711117960278608561252354847e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018680403706335701290989128481430204703e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(2.2510248455888091405993166043887445621715e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-2.2510174484062199386362841892993087594947e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018558546166457675699861962080004999150e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944396043709566009459715221585372e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472853091160352830937343767650688e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983342376949641595821001917491667e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018817410158361472190253671894431904939e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3700637846460791005981528879382424910460e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3700637846456288963687530289987844874287e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018421539861554297975970795199062785812e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944467909122495834884599387636034e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472224034393911096444575950225576e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5058953391661681263544129082370930894242e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.5463332446281055395842288497736874539552e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.4533137839335554835014800540258494116422e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.4533137839335554834564592534300137267727e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3602944450963100583299350492192146423088e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6780587215641672356674494949332424218202e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9596581226978818963671289617541658335518e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.2642938916874995087527200233512488887943e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3576273862752083056509537463143878972101e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3576273199771626836261775864980601220200e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3576273199771626836261775544102326018804e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3576272536791453209149858379393819501926e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(8.0316910492822212721239639161672023237352e-17) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.6025465972351057034356198592920349545411e-63) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.9802492826931166205674621000580546389098e-1379) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-1.3602719289369003528853344017485959922707e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059911922470601055957967478463432608582e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759412783240768632560980182900635333e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592378262014337210296019336452785e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018702342370105311454773843467334641080e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.3700637846439121466015963663590550429587e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.3700637846434619425103435020106844357592e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018479521302420408951414388775264644518e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321671214249342651851080364029762e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411980326041984480637403900937017e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592450126916776661586322999450225e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018565336065202155796261812118484006426e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-2.2510241548582193460061047426801251673654e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(2.2510167576739844519519221384984630120518e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018616527754445912640925313162413503098e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321637879614675315940288491868395e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411980326041984480637015295350115e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592450126916776661586357781602879e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018565336065202155796195501944116034113e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-2.2510175238372222331621446606493059384589e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(2.2510233886949815647958822205310054102607e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018616527754445912640991623407987749883e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321637879614675315940272358118646e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411177411315347829353443579956849e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592521991819215321967233906003030e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018428329760298783442061685917164037365e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3700637846456288963612099287693259361299e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3700637846460791004524635051805469331980e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018753534206471633025666259749633018781e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321604544980008016319945609707918e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0455243099284731838626288123862807305458e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779779858281079284145946319072669175756e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3602944383063543548371922277172399986135e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.4533137839335554834564592526756973762632e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.4533137839335554835014800394567889236764e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.5463331807516178227597309884322703930153e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059204724977078867864596735169233488740e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.1179037541354844220601706868659147980053e-70) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(8.0316937217597129621969156105908653015582e-17) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3576272536791404814106919113275433582799e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3576273199771626836261775544102320642539e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3576273199771626836261775864980497381643e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3576273862751627787140790101447156178331e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.2642938726079125970366474072000298318127e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.4768921833277728458163747148094201671184e-4456) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.2423665507370980444567778937491482982041e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.2521922971762270313935386751704147909044e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.2521922981061751721204943356022305847094e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.2521922981061751721204943360523195121534e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.2521922990361229602979188048795643258727e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.2620956909109925774883311540689392653803e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.2305821754544348028216801401605282441557e-1374) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.1042984179267884990346895971978473341304e-50683) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.5022896876353616891785711881043471839404e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.5033810689460226815610517767135849344934e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.5033810690489472871281351479868119334073e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.5033810690489472871281351480366267814433e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.5033810691518718536064846084475994491695e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.5044732429422333083646410015523153118824e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.0483447121759530296680202172040775719996e-49854) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(6.5392460722549680901188796808279663942537e-35873) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.4493070788437172999463756198938183618993e-78998) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(8.8114144574318372868016340800396286894009e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(8.8156938204023485676338124555720839877289e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(8.8156938208058727570404215559880397717177e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(8.8156938208058727570404215561833428876554e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(8.8156938212093967931873530103564240691013e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(8.8199752611150900788382191609666277879237e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.8632725118598602149860918221705128006283e-78445) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.0509143925550271038771708018266879557798e-66808) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(4.4907958463949740809169944871307693311307e-16256) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1322402343750000000000000000000000000000e+04), SC_(8.7823586675416606930931477888101914118149e-6911485) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(7.6778868725060013852824378433979160662968e-6908514) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.7928427174723416916896287940449471351511e-6908216) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.1011290480822098158519612760943692394801e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.1011379385209992693422614832996827808576e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.1011379385218373966166313545722611590501e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.1011379385218373966166313545726668072678e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.1011379385226755235726402902025168245168e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.1011468290305751682029337048898692981471e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(4.3416706074892663636733570635410547195705e-6908207) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.9252010268589187539067226868889925498096e-6907909) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.8313539959750791504702701948892151418320e-6904928) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.5453595080908262529160408477313938141928e-6903297) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(1.1493684282135965301643442134948215004518e-6580243) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp b/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp
new file mode 100644
index 00000000..12ef5fcb
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp
@@ -0,0 +1,1954 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1940-28> hypergeometric_1f1_log_large = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(-6.9593959799337045441231095099600453103878e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.0582258691183834437184100780924111277717e+01) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4218811513714239120729870702232881212568e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.8498254438590490387472531245672132803475e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.0735309299790018469573397242238468903064e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.6145142110337000955803835347936803724665e-02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.2040121247758463368760108419204454370947e-02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6662905454910831855579378148293906695181e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(7.2142370046824335144014344081843913059747e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.8862435213263230248923152986353386484064e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9787779316771129333208880070692041832001e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.4360790027023982727798684642315209684929e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4218649740795766698734674721145127327631e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.2389490677586051078216379271143451463248e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-5.2492822148912516066078978829267663813108e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(5.1152439583962101450116493340133388389215e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(7.0836111606293375431549836524486504434682e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.8691663387522724169634944628608500858469e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9768353727665370927896180238281855437842e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.4340956057262404411456377266940387887445e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4216188309653486843214711199888230096735e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.5805157804775040134524224780380793054397e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-7.8777842331911911696241280907669802568567e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(7.8777324347662456092639049357836234009771e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(4.5159467341243299096318581771879990621841e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.3618245313513366523199761980769416800626e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9109860682639906812713947671847785110166e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.3656090966812243392088146416074464735201e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4116773552567049440641435985719082068831e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-9.8811751129461368970005256035790814172806e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(9.2174091930600389340238197774438484848463e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(3.3114946327609133192402462675258799606136e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.5647571482834212862355908369325758949510e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.9938006054359539007447396225424032965087e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.3438639628318799990444769655838299933824e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-6.4652927399464182741934385990147819853198e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(6.2705153122225795004040973788270646056695e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(2.7421661584672473457101480657595505806946e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.4382339557500690672702642748475059485834e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.8539197774338115999627942143339180821377e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.3133777204979669846586326028932174485236e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1322402343750000000000000000000000000000e+04), SC_(-7.5365871935846400290867834254114008940452e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(-6.9574128294935924522353612024884748851392e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.0582209627360964662309549354105883595611e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.0582255443968121424917691133528179874483e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(6.9593938434137221900590997104770914834235e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1322398437500000000000000000000000000000e+04), SC_(7.5598955717465796755840139502780742412634e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.1315741074738659098199284235122958050748e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(7.5517427064753517663653559720945279814755e+05) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp b/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp
new file mode 100644
index 00000000..cf8762bb
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp
@@ -0,0 +1,42 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 28> hypergeometric_1f1_log_large_unsolved = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-9.2173743826070611351476246204795205014058e+02) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(9.9962758750935854786688366779961780448550e+01) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.5614583192913363758190807218566099668686e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4674756699732914480964181735648918343295e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4653190213477956872601716084177933239422e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4654807900207498519290118195194404978877e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4659094436438859633733763292247146918226e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4659094436467223153652258071560586676152e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4654807900207494574222703816528674210724e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4653190171655496299468839490654159421025e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4629405159202272395915678225516122681401e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.3688973133492566757820217207352000341097e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(8.7446277169203106109796924659555060713845e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.7628686898533426371240091663512627579803e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6688298171828874375273861390044247551743e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6666722997531120601011487507105430010096e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6668340684254033486118530729317141358950e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6672627220485394599937265979219498580831e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6672627220513758119855760758532938338455e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6668340684254029539801296656350641154670e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6666722955695402505125318558322967174190e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6642929255030913499877606007957533590963e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.5701934252716927944192865356541742242546e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(8.9453568573877958811748820220257536989124e+05) },
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.0766743928534209945155627434937476192183e+06) },
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(-4.5982546021529254789360181932356973473932e+02) },
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.4601948495381566172893072659462358596570e+02) },
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-9.2075804481807222814302973318532642713970e+02) },
+}};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_2F0.ipp b/src/boost/libs/math/test/hypergeometric_2F0.ipp
new file mode 100644
index 00000000..fda44372
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(4.3943300261077013584267012717002038584011e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(3.1288074415453579939659035904973256538749e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(2.6611745543614506068714120519075056819550e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(3.5457479850061401970225922839343737383427e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(7.7635659556434543079371866945447478779323e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(8.9371161179717812336270934717521291586710e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(1.1349416737435136788732250938876799030561e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(5.8415173440760341442711964780042686256393e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(3.4596067098813351124340440200079189674532e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(2.3038462901451313148189528672455581460301e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(3.9569369804956199686427815514222403549919e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(1.9284978646136702164674383903141303554929e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(4.1625366397762522765902141066188386626434e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(4.5805805296483196422592484674884796413424e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(5.7911630751565900334275720051243482599803e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(2.8906571692330664641407549050101998647921e+16) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(-9.6301638080740303848870098590850830078125e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(-7.1351610542114940471947193145751953125000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(1.0177920323048056161496788263320922851562e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(1.0769465120148197456728667020797729492188e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(1.2833638792021702101919800043106079101562e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(1.3054801498423330485820770263671875000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(1.4673048245935206068679690361022949218750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(-7.3246398303708701860159635543823242187500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(-7.1351615862968174042180180549621582031250e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(-5.2257601012970553711056709289550781250000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(8.0237736879880685592070221900939941406250e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(8.4764772019534575520083308219909667968750e+00) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(1.0225423036841675639152526855468750000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(1.1463851626955147366970777511596679687500e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.0391688490954038570635020732879638671875e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.0177923009153346356470137834548950195312e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(8.0237752842440386302769184112548828125000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-6.9240779003894203924573957920074462890625e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-7.4348087510397817823104560375213623046875e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-9.2169851483204183750785887241363525390625e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-9.4079336914001032710075378417968750000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.0805103511793276993557810783386230468750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.0997009734232051414437592029571533203125e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.0769466454398752830456942319869995117188e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(8.4764777340387809090316295623779296875000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-7.4348074343934058560989797115325927734375e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-7.9784563523107863147743046283721923828125e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-9.8754991267696823342703282833099365234375e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.0078754850779660046100616455078125000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.1565976270900137024000287055969238281250e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.3109259347409533802419900894165039062500e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.2833638870735740056261420249938964843750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(1.0056168823823099955916404724121093750000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-9.2169822260730143170803785324096679687500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-9.8754977138050890062004327774047851562500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.2173363131540099857375025749206542968750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.2419564379844814538955688476562500000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.4221018050695420242846012115478515625000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.3335573940363246947526931762695312500000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.3054802286875201389193534851074218750000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(1.0225423036841675639152526855468750000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-9.4079313260444905608892440795898437500000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-1.0078754062327789142727851867675781250000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.2419565168296685442328453063964843750000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.2670367766171693801879882812500000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.4505489495699293911457061767578125000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.4991508972056180937215685844421386718750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.4673046359139334526844322681427001953125e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(1.1463849498613853938877582550048828125000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-1.0805098427759730839170515537261962890625e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-1.1565972820693787070922553539276123046875e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.4221015849043396883644163608551025390625e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.4505486341891810297966003417968750000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.6586955940925690811127424240112304687500e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_half.ipp b/src/boost/libs/math/test/hypergeometric_2F0_half.ipp
new file mode 100644
index 00000000..7b801653
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_half.ipp
@@ -0,0 +1,165 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 152> hypergeometric_2F0_half = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.2032157897563382410160422580627156030356e+27) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-5.8552438403993540075445057576807515425389e+25) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(1.8536215342403860903873766878985845837896e+26) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.8933877135654357862948257668990833347521e+29) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(5.7029786962671797374410568316289974479955e+29) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.7256686022877808381153517416629897065172e+31) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.4036795852930798689268880646401742536618e+31) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3108208371013991143749750060686093879128e+32) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(2.2261151553219849602774257441342943187279e+26) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(1.0026668728373103856616637520545354803538e+26) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-2.8013886214392444940744423533118582725931e+24) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(2.7177660267742394310298032400362721880877e+27) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(7.7204232467149010826926166227567951910332e+27) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.9504360238237116536694663721570401400599e+29) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6696655078411082966297611860612782820774e+29) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.2781486793724450077029730324854395951302e+30) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.4272935692950617393840572649372043642952e+24) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-2.9787739478244595838217239400633538236065e+24) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.1203884870112705735322844015795179077841e+22) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(4.0982653063176939702943800803111332996020e+25) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.0980973817736626660092561815773194839184e+26) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.3168428306151719631431027465873901688692e+27) },
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+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3609113476752708339828643717700228941000e+28) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(1.1656421121187607877342422140840569562187e+23) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(7.0021320491460322117459022932692503370530e+22) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-5.5188743519606794936065870728126281186279e+20) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(6.5095979752995215016570532743100421867381e+23) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.6453391563790413040691524808609928654394e+24) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.9001316875918613337076485266403316938733e+25) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(3.8334681731758122408642315689935298949643e+25) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.5788906438618455324686375468189779687535e+26) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-2.4230373655872434697755011822115451271442e+21) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-1.5446221588026610617256990311676009383263e+21) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(5.2039179437873750251202282607115305564081e+18) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.0923380584793642789134552475058686982130e+22) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(2.6047856302255220301623013289534164418422e+22) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(3.8370314351121905972658449085955230994730e+23) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(4.9844221333558154795317249715123383281341e+23) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.9781830965740745910605500904767647560904e+24) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(5.0644424342158487881294138597841454452924e+19) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(3.3812918660147447256197677418883785024773e+19) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.4188764950171470672253965759049069766095e+16) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.9428885513822720141998689138316087746558e+20) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.9467559204784947723965160548686981201172e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.5523782855958415893837809562683105468750e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6217245415551587939262390136718750000000e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.6886768341064453125000000000000000000000e+00), SC_(3.1553798343334165110718458890914916992188e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp b/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp
new file mode 100644
index 00000000..aaad5ac9
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0_integer_a2 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-1.0672900060657104357920671728509291419998e+23) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-7.3767594514781772314601935827275945493626e+22) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-9.5092070569484559766150370105508596918823e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(2.5177888870239257812500000000000000000000e+00), SC_(5.2174486913739279808251116901253159504247e+22) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.2652476435582852324450311941587499913699e+23) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.9492297788193122811816725603041387758467e+24) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+00), SC_(2.5416706034685042902352447049436372084120e+24) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.5538774675693139736174911420140527243183e+25) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8884900991760422589670576028653106986274e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.4164454455294844877096811983049115847036e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(4.8945496364852070534701282070132162437227e+17) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(2.5177888870239257812500000000000000000000e+00), SC_(6.5014699496890839951235223735579618515875e+18) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.3357189592912487554315796346218304264309e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.2293923093065599369879451350041333365521e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.5245120015742543962437164119932506535222e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.7509422302246093750000000000000000000000e+00), SC_(6.6088879563133865210670390979260896485479e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-8.8425953060420154833993411272730660678487e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-7.1436549989491750035605952961778943138806e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-5.9174606417364359388105484910213013262885e+13) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(3.3128850525298189096012340253923946489170e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(5.7133634218586130111595810716488098772144e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(3.0608106964521241025041805687473523741140e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(3.6011666793537281532382569594050661142388e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0903317443468622432096318575132408931104e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.7199394384674321435196867758494034592216e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.4932067012711910484527732333733778684455e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(2.8717530740687748540092889759692870664006e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(8.3111645382990916866665153024848740352576e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.1977838588295361834821965872277174858023e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(3.6887766872259548183263337516867350074741e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(4.1131688580795421950193615488102514486353e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(8.6365715048400112779561671093235137461263e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-1.7178670442609116002846691984018434595782e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-1.6010863537374455557187741261415681037761e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-7.0484076398515507758446574371191672980785e+04) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(1.1655152160343470960626038879226484823448e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.4002219122542500406231741338913820982270e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(2.4622080358103474464361720697169744198618e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(2.6004496991143650666344910860061645507812e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(3.7724044924527436003858227309137873817235e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(2.3890772190925794881275415673736197596685e+30) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(4.1037415454609171633490749025646517305767e+28) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(9.9523181915283203125000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(9.7485532760620117187500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(7.6951828002929687500000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(-6.5533666610717773437500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(-7.0402040481567382812500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(-8.7390050888061523437500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(-8.9210205078125000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(-1.0252826690673828125000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8904636383056640625000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.8497106552124023437500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(1.4390365600585937500000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(-1.4106733322143554687500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(-1.5080408096313476562500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(-1.8478010177612304687500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(-1.8842041015625000000000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(-2.1505653381347656250000000000000000000000e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp b/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp
new file mode 100644
index 00000000..5c74426e
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0_large_z = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.7944300763794837863460239247756117518755e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-1.7730673696923861041007502200748676573927e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-9.0921796163704784864586001035922757860434e+36) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-5.7638639558423021936076204730400653646627e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.0425668948456725779986744143950020594293e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-9.8504333314274807865259455186489732827178e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-1.4317368570137309382413386848406749038718e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-1.8192277482336332563218506313647249188109e+41) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-7.2262207783433648552660655669784444778209e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-4.5823620266905623948427865564377976340992e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.3285081625635161726173588864732669962497e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-1.5533109844542845227235204230680068350628e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-5.4933821858393544687729628915099482836408e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.6375615381809845746841440789953368282710e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.8323652301886246427403013713127575555042e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.8599944877342186748694654929258339958728e+41) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.8716978456093984398247623098672838823461e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(1.8168553736072875147259753961126621437100e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(8.9448265778352749829816029551298098882993e+35) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(7.4847146086157560464156291487747892920351e+36) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.6315870204477602208645777083521336902579e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(1.2436111965988218614495735796017739361760e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(1.8044606729604574740717011259735818412287e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.2682658308710359732773552496604116676232e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7779632599418474050700511881908321699146e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.3853954363684136777885413229799885732859e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(1.1427189695334251294303519092977806427252e+51) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(1.1871666272488808307551639477643342883521e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(4.1488184952583330173035404189141350897413e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(1.9286882519546404160671646687237689098231e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.7945052699602559354115005719941362196964e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.4811495582550017278736154506667571551805e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(8.1982744321389187998871443348077272968197e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(5.1762821545761406086040706083394741717379e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.4791366084937352554024682129405527691489e+51) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.5801724721174097905965843957915856464825e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(9.0165295115447242524512829162873989566707e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(4.1909959406283534190598721361715085027485e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(6.0723241720148004855805985369382781491154e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(7.5637964629723774119403803425479416656861e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(9.7543483215727200797688436041581248148557e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(6.1584488195782620144388101946504927848031e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.9474867942990096882391841691520441140900e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.0848076844765709021638805141841326903347e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.0778284895581670226335058428052281204770e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(5.0077250112799095873804094299108763597159e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(7.2554097144075584193678437985617685500917e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(9.0353295386686156149241387243537547000249e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(1.2487137102826533651051972394309303242305e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(7.8837667617236074095158342975156836975675e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.7729825828683682178908917773677014504330e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.9509198224645316365146835447026840845431e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.3804256784058872917111378376923021496732e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(6.4133592953438279378661020893617283935641e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(9.2919198329325201382372525431060519002833e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(1.1571175015314116526126215645190219486129e+57) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(6.9427463966631748846751917555949092534524e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(4.3831591609428628438113451635366227618720e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.0967027866960631846866368889525310491820e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.2037879933563499406600100625563635554703e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(7.6990744768226374999592012702870174966964e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.5759076526542959063672933569133129140843e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(5.1807823149628708989519276257780758012910e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(6.4505797918085757831821382970855010880519e+57) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.3309357090999233381454577973254786538826e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.1697222179121536550876160452237554269154e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-1.5314589551775304257634979267477551583855e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(7.6628431355487991531451183573792218594938e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.5091452925131940492475300395004423380456e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(9.7253728252366646279087800497090806688028e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(1.3857905896014345301439700168830431367652e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(1.5438681755211611981253325902772790066482e+39) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-7.7149844410092196809591260253926500792087e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-5.0138881752515785070899729374113784540291e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-3.4027427793632579567269504284009889277520e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(1.7864834952549811206314753899671992683216e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(5.9399368456342062034142346698956543086563e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.3641331432749951987415449152931731613311e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3736219691786304542295747182602620277199e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.7841799906294971126164280560725413187546e+39) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(1.6534494409138193443820385553328129651784e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(1.0707300271651899313255004197853950836026e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(6.9116002366331199736209529284476583813478e+33) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(1.3140460589904266435657326350509334356165e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.4893781409954470189543604462332343496556e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.1871692073451287792025790322780233465583e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.2698603544683426245428246349755685429272e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.9215938283817103738008461521428321683302e+05) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.3293322367526707239449024200439453125000e+02) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.4873921990330563858151435852050781250000e+02) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.6427773398309363983571529388427734375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7106717090378515422344207763671875000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(4.2074527242133626714348793029785156250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.2533254514061263762414455413818359375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-3.1790492119494592770934104919433593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.4305488724814495071768760681152343750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.7633758883326663635671138763427734375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.9408394665172090753912925720214843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.5600914290247601456940174102783203125000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.6264404495269991457462310791015625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(4.1119141956715611740946769714355468750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.4873914170259376987814903259277343750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.4305485290975775569677352905273437500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-1.8577284560573752969503402709960937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.1171319467708235606551170349121093750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.2529431073775049299001693725585937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.7268506471469299867749214172363281250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.7776269110525026917457580566406250000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.1491552752524148672819137573242187500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.8275059469984262250363826751708984375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.7633769627747824415564537048339843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.1171330655034398660063743591308593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.3672231900304905138909816741943359375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.5204425652831560000777244567871093750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.0550953644097899086773395538330078125000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.1123801074200309813022613525390625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-3.5315308134228689596056938171386718750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.0091022812915616668760776519775390625000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.9408400002174312248826026916503906250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.2529438313940772786736488342285156250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.5204420386246056295931339263916015625000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.6835368417954305186867713928222656250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.2526495463374885730445384979248046875000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.3136264552338980138301849365234375000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-3.7597926256788196042180061340332031250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.6427770302363205701112747192382812500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.5600917386193759739398956298828125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.7268512663361616432666778564453125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.0550944356259424239397048950195312500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.2526492367428727447986602783203125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.9420087072660680860280990600585937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.0158693139534443616867065429687500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.5563051056140102446079254150390625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7106713936571031808853149414062500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.6264407649077475070953369140625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.7776275418139994144439697265625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.1123791612777858972549438476562500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.3136261398531496524810791015625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-4.0158693139534443616867065429687500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.0911103298515081405639648437500000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.6416465333290398120880126953125000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(4.2074517973227193579077720642089843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(4.1119139971712138503789901733398437500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.1491555650194641202688217163085937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.5315292600396787747740745544433593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.7597917567787226289510726928710937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-4.5563044864247785881161689758300781250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.6416459025675430893898010253906250000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-5.2660864245600532740354537963867187500000e+02) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F1.ipp b/src/boost/libs/math/test/hypergeometric_2F1.ipp
new file mode 100644
index 00000000..67794b3e
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F1.ipp
@@ -0,0 +1,515 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 500> hypergeometric_2F1 = {{
+      { SC_(-9.9895538330078125000000000000000000000000e+01), SC_(-9.3285552978515625000000000000000000000000e+01), SC_(7.3087707519531250000000000000000000000000e+01), SC_(-1.8142122030258178710937500000000000000000e-01), SC_(6.5891986527929449267593715511756563448513e-15) }, 
+      { SC_(-9.9073181152343750000000000000000000000000e+01), SC_(-9.3136535644531250000000000000000000000000e+01), SC_(5.4982086181640625000000000000000000000000e+01), SC_(9.5400404930114746093750000000000000000000e-01), SC_(1.1007633109021571039219928777818293629102e+28) }, 
+      { SC_(-9.7619598388671875000000000000000000000000e+01), SC_(4.5390945434570312500000000000000000000000e+01), SC_(-3.2575469970703125000000000000000000000000e+01), SC_(-2.2286039590835571289062500000000000000000e-01), SC_(-6.4789723389675742353349389221567944679928e+38) }, 
+      { SC_(-9.6902587890625000000000000000000000000000e+01), SC_(6.3223403930664062500000000000000000000000e+01), SC_(9.6812744140625000000000000000000000000000e+01), SC_(-4.1322350502014160156250000000000000000000e-01), SC_(3.2079560298672561791430457929878905585658e+10) }, 
+      { SC_(-9.6603424072265625000000000000000000000000e+01), SC_(-2.0321739196777343750000000000000000000000e+01), SC_(-7.5828094482421875000000000000000000000000e+01), SC_(-9.2019414901733398437500000000000000000000e-01), SC_(8.4156847340696781722447707160754173280841e+06) }, 
+      { SC_(-9.5892852783203125000000000000000000000000e+01), SC_(-9.6531707763671875000000000000000000000000e+01), SC_(8.4735107421875000000000000000000000000000e+01), SC_(-7.3016166687011718750000000000000000000000e-01), SC_(-4.4717807146118951718858040781837872825985e-16) }, 
+      { SC_(-9.4954376220703125000000000000000000000000e+01), SC_(-5.9686599731445312500000000000000000000000e+01), SC_(6.8441314697265625000000000000000000000000e+01), SC_(-9.4900083541870117187500000000000000000000e-01), SC_(-1.7276145800358599599760958115736468880647e-11) }, 
+      { SC_(-9.3891815185546875000000000000000000000000e+01), SC_(-1.5204330444335937500000000000000000000000e+01), SC_(4.8814849853515625000000000000000000000000e+01), SC_(3.7960255146026611328125000000000000000000e-01), SC_(2.4552032940427998541423531520934032344423e+03) }, 
+      { SC_(-9.3601806640625000000000000000000000000000e+01), SC_(-9.5872192382812500000000000000000000000000e+00), SC_(2.2942687988281250000000000000000000000000e+01), SC_(-2.9971241950988769531250000000000000000000e-02), SC_(2.7383928273420403328458561650200080754586e-01) }, 
+      { SC_(-9.3479858398437500000000000000000000000000e+01), SC_(-8.7491363525390625000000000000000000000000e+01), SC_(1.2239959716796875000000000000000000000000e+01), SC_(-7.3687696456909179687500000000000000000000e-01), SC_(1.5973694221369750316833507490060101743881e+08) }, 
+      { SC_(-9.2452239990234375000000000000000000000000e+01), SC_(7.6793701171875000000000000000000000000000e+01), SC_(7.7033599853515625000000000000000000000000e+01), SC_(9.1844320297241210937500000000000000000000e-01), SC_(4.2508459032690447851029931141763191686420e-49) }, 
+      { SC_(-9.1513793945312500000000000000000000000000e+01), SC_(7.4361022949218750000000000000000000000000e+01), SC_(-8.5710906982421875000000000000000000000000e+01), SC_(8.6920523643493652343750000000000000000000e-01), SC_(1.5597155522468405412722593998443708684739e+62) }, 
+      { SC_(-9.1469543457031250000000000000000000000000e+01), SC_(3.7243209838867187500000000000000000000000e+01), SC_(2.7039588928222656250000000000000000000000e+01), SC_(-5.3746747970581054687500000000000000000000e-01), SC_(1.9880343033721299184057983616668235260257e+20) }, 
+      { SC_(-9.1395263671875000000000000000000000000000e+01), SC_(8.1686706542968750000000000000000000000000e+01), SC_(-6.6201995849609375000000000000000000000000e+01), SC_(6.1827445030212402343750000000000000000000e-01), SC_(1.5177192508688742444864029168560550139867e+38) }, 
+      { SC_(-9.1109191894531250000000000000000000000000e+01), SC_(-4.6822494506835937500000000000000000000000e+01), SC_(5.0986648559570312500000000000000000000000e+01), SC_(8.3877134323120117187500000000000000000000e-01), SC_(8.7682696840405655306109200648215293456224e+14) }, 
+      { SC_(-9.0310546875000000000000000000000000000000e+01), SC_(6.0442535400390625000000000000000000000000e+01), SC_(3.3583221435546875000000000000000000000000e+01), SC_(-3.3563292026519775390625000000000000000000e-01), SC_(4.0487268295423261389483401128099493869350e+16) }, 
+      { SC_(-8.9464599609375000000000000000000000000000e+01), SC_(8.9315429687500000000000000000000000000000e+01), SC_(4.7571624755859375000000000000000000000000e+01), SC_(-6.6660356521606445312500000000000000000000e-01), SC_(2.5114952432008773418647344036287653320834e+28) }, 
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+      { SC_(8.6802124023437500000000000000000000000000e+01), SC_(9.2993255615234375000000000000000000000000e+01), SC_(-7.4018768310546875000000000000000000000000e+01), SC_(-6.9112324714660644531250000000000000000000e-01), SC_(-9.2183798012997141026454326490113581951846e+14) }, 
+      { SC_(8.7146179199218750000000000000000000000000e+01), SC_(5.2928741455078125000000000000000000000000e+01), SC_(-8.4227294921875000000000000000000000000000e+00), SC_(-1.7563480138778686523437500000000000000000e-01), SC_(1.7517228741465218826611446054644016854078e+03) }, 
+      { SC_(8.7828338623046875000000000000000000000000e+01), SC_(-8.8260314941406250000000000000000000000000e+01), SC_(-3.9738784790039062500000000000000000000000e+01), SC_(-1.5718632936477661132812500000000000000000e-01), SC_(9.7994331612602516686966240369378499064496e+35) }, 
+      { SC_(8.7965881347656250000000000000000000000000e+01), SC_(-5.6572280883789062500000000000000000000000e+01), SC_(2.9110366821289062500000000000000000000000e+01), SC_(9.2990422248840332031250000000000000000000e-01), SC_(2.0303059944848684966786324944507674434562e-22) }, 
+      { SC_(8.8410095214843750000000000000000000000000e+01), SC_(9.0988677978515625000000000000000000000000e+01), SC_(9.1226898193359375000000000000000000000000e+01), SC_(3.0393731594085693359375000000000000000000e-01), SC_(7.4983777557141289456621410128966683723973e+13) }, 
+      //{ SC_(8.9586608886718750000000000000000000000000e+01), SC_(6.7183502197265625000000000000000000000000e+01), SC_(-8.3585784912109375000000000000000000000000e+01), SC_(9.0174841880798339843750000000000000000000e-01), SC_(5.1110361935787779755649743658291218070866e+350) }, 
+      { SC_(9.0044403076171875000000000000000000000000e+01), SC_(-1.8821868896484375000000000000000000000000e+00), SC_(-9.3110809326171875000000000000000000000000e+01), SC_(3.2721102237701416015625000000000000000000e-01), SC_(4.5371906132046220195252707384957406962365e+35) }, 
+      { SC_(9.0178863525390625000000000000000000000000e+01), SC_(9.9988311767578125000000000000000000000000e+01), SC_(-1.1207168579101562500000000000000000000000e+01), SC_(-5.9987092018127441406250000000000000000000e-01), SC_(1.4332663094452325753241597827007446643821e-06) }, 
+      { SC_(9.0326080322265625000000000000000000000000e+01), SC_(7.5610107421875000000000000000000000000000e+01), SC_(8.4066406250000000000000000000000000000000e+01), SC_(-2.1506184339523315429687500000000000000000e-01), SC_(1.3566609825826061340135877160335552994047e-07) }, 
+      { SC_(9.0691406250000000000000000000000000000000e+01), SC_(3.3133880615234375000000000000000000000000e+01), SC_(8.1768188476562500000000000000000000000000e+00), SC_(-8.8031888008117675781250000000000000000000e-03), SC_(2.0520303039422782817672520764475530800339e-02) }, 
+      { SC_(9.1433380126953125000000000000000000000000e+01), SC_(-7.8027648925781250000000000000000000000000e+01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(5.9621167182922363281250000000000000000000e-01), SC_(4.6730186451327777177680697918962959070677e+09) }, 
+      { SC_(9.1501373291015625000000000000000000000000e+01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(9.2977691650390625000000000000000000000000e+01), SC_(9.3538975715637207031250000000000000000000e-01), SC_(2.1454839500458033720680018486938200761167e+116) }, 
+      { SC_(9.1948791503906250000000000000000000000000e+01), SC_(1.4750930786132812500000000000000000000000e+01), SC_(-3.1922851562500000000000000000000000000000e+01), SC_(7.5351476669311523437500000000000000000000e-01), SC_(2.2935885921742708893534318418115404057980e+130) }, 
+      { SC_(9.2617706298828125000000000000000000000000e+01), SC_(2.1185638427734375000000000000000000000000e+01), SC_(9.3611450195312500000000000000000000000000e+00), SC_(-5.4689741134643554687500000000000000000000e-01), SC_(1.1255862572841655501354684265291378622762e-18) }, 
+      { SC_(9.2884521484375000000000000000000000000000e+01), SC_(-5.4916336059570312500000000000000000000000e+01), SC_(-1.3503005981445312500000000000000000000000e+01), SC_(-4.3040895462036132812500000000000000000000e-01), SC_(3.0151790012067127864829767717561251297802e+45) }, 
+      { SC_(9.4594909667968750000000000000000000000000e+01), SC_(-7.1556579589843750000000000000000000000000e+01), SC_(2.9798294067382812500000000000000000000000e+01), SC_(2.8636205196380615234375000000000000000000e-01), SC_(7.2039293881713135366452260203106085749338e-20) }, 
+      { SC_(9.5736114501953125000000000000000000000000e+01), SC_(-5.3519927978515625000000000000000000000000e+01), SC_(4.2538894653320312500000000000000000000000e+01), SC_(4.9380838871002197265625000000000000000000e-01), SC_(1.3274237894747251485456216220236304092055e-22) }, 
+      { SC_(9.6879638671875000000000000000000000000000e+01), SC_(8.3203552246093750000000000000000000000000e+01), SC_(7.1787750244140625000000000000000000000000e+01), SC_(-6.7365944385528564453125000000000000000000e-02), SC_(6.5291192310861813016026415306261568839384e-04) }, 
+      { SC_(9.7586944580078125000000000000000000000000e+01), SC_(7.5212249755859375000000000000000000000000e+00), SC_(-6.5913604736328125000000000000000000000000e+01), SC_(8.2627701759338378906250000000000000000000e-01), SC_(1.2841453106427416732041190220022515999761e+185) }, 
+      { SC_(9.7683563232421875000000000000000000000000e+01), SC_(4.3197174072265625000000000000000000000000e+01), SC_(7.9964141845703125000000000000000000000000e+00), SC_(-1.2916326522827148437500000000000000000000e-02), SC_(-5.6394291658700497271627531058640783271757e-04) }, 
+      { SC_(9.9077941894531250000000000000000000000000e+01), SC_(4.4081039428710937500000000000000000000000e+01), SC_(-3.3581436157226562500000000000000000000000e+01), SC_(1.8215370178222656250000000000000000000000e-01), SC_(2.6061694718239368533142282610016493548641e+52) }, 
+      { SC_(9.9816070556640625000000000000000000000000e+01), SC_(3.4842590332031250000000000000000000000000e+01), SC_(-6.5775787353515625000000000000000000000000e+01), SC_(4.7859513759613037109375000000000000000000e-01), SC_(7.8419089341931209199194984266724459574651e+118) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_2F2.ipp b/src/boost/libs/math/test/hypergeometric_2F2.ipp
new file mode 100644
index 00000000..46fd170d
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F2.ipp
@@ -0,0 +1,239 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 6>, 225> hypergeometric_2F2 = {{
+      { SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(1.8090668841695962735121297629318499805194e+42) }, 
+      { SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-6.8305703866855163475715684044172076664493e+186) }, 
+      { SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(3.0797546386718750000000000000000000000000e+01), SC_(9.2516788163653291402462434856492902332269e+07) }, 
+      { SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.5352181353921602046709701790928284442327e+88) }, 
+      { SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(-4.9536584472656250000000000000000000000000e+02), SC_(4.1127664690960577724128168628565875268818e-02) }, 
+      { SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.2405423559105211621315714057367775071572e-10) }, 
+      { SC_(-3.8258239746093750000000000000000000000000e+02), SC_(-1.7503649902343750000000000000000000000000e+02), SC_(-2.0332415771484375000000000000000000000000e+02), SC_(1.5577990722656250000000000000000000000000e+02), SC_(-1.8122167968750000000000000000000000000000e+02), SC_(3.8354909652295819833106476659021099079105e+82) }, 
+      { SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(6.8823608398437500000000000000000000000000e+01), SC_(-1.0509176635742187500000000000000000000000e+02), SC_(-3.0609375000000000000000000000000000000000e+01), SC_(3.1341617923636314523220451439038061044124e+103) }, 
+      { SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(3.3844509595908982340003058676574433591601e+02) }, 
+      { SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(2.9973712146869363588906408000435531769989e+24) }, 
+      { SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(4.5716699218750000000000000000000000000000e+02), SC_(3.5349925140498271067901257770469369222422e-75) }, 
+      { SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(-1.8878497314453125000000000000000000000000e+02), SC_(6.5059718319095428358961211161563226511058e+261) }, 
+      { SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(1.4911547851562500000000000000000000000000e+02), SC_(-2.4170410156250000000000000000000000000000e+02), SC_(2.3172241210937500000000000000000000000000e+02), SC_(-1.9036391377806637778714360115412330090828e+199) }, 
+      { SC_(-3.1648889160156250000000000000000000000000e+02), SC_(-1.1428948974609375000000000000000000000000e+02), SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(-2.2647803812666968435830709155055083167865e+102) }, 
+      { SC_(-3.0523571777343750000000000000000000000000e+02), SC_(-5.8776519775390625000000000000000000000000e+01), SC_(-2.7407824707031250000000000000000000000000e+02), SC_(-3.5217102050781250000000000000000000000000e+02), SC_(-3.2929199218750000000000000000000000000000e+02), SC_(4.9263998797519049365001615903230659768340e+57) }, 
+      { SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-9.8191986083984375000000000000000000000000e+01), SC_(-1.1766705322265625000000000000000000000000e+02), SC_(-1.1402440428266599406329845908011742949449e+16) }, 
+      { SC_(-3.0012719726562500000000000000000000000000e+02), SC_(3.2825561523437500000000000000000000000000e+01), SC_(4.4892504882812500000000000000000000000000e+02), SC_(-1.4927288818359375000000000000000000000000e+02), SC_(4.9010998535156250000000000000000000000000e+02), SC_(-8.2802792883592327098743193151793189562668e+51) }, 
+      { SC_(-2.9225769042968750000000000000000000000000e+02), SC_(4.0138000488281250000000000000000000000000e+01), SC_(-1.9875366210937500000000000000000000000000e+02), SC_(-4.8154919433593750000000000000000000000000e+02), SC_(-2.9076660156250000000000000000000000000000e+01), SC_(4.3023564115466799741161627232928714247688e+01) }, 
+      { SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(7.6335788596686159020335593785181427594248e+78) }, 
+      { SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(3.2119396972656250000000000000000000000000e+02), SC_(2.8099938553256444419794417735331437931667e+303) }, 
+      { SC_(-2.6049755859375000000000000000000000000000e+02), SC_(-2.7233569335937500000000000000000000000000e+02), SC_(2.9965319824218750000000000000000000000000e+02), SC_(-6.4301300048828125000000000000000000000000e+01), SC_(-2.6984924316406250000000000000000000000000e+01), SC_(-8.0107317185818721255825742655375983959701e+38) }, 
+      { SC_(-2.4704406738281250000000000000000000000000e+02), SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(-1.1836297998213733058326723098984475672672e+166) }, 
+      { SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(2.3408505139066532271316459421630307869796e+87) }, 
+      { SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(8.6822023586943617781984796912183537053591e+30) }, 
+      { SC_(-2.1837268066406250000000000000000000000000e+02), SC_(-2.6271643066406250000000000000000000000000e+02), SC_(4.6864038085937500000000000000000000000000e+02), SC_(-4.1151153564453125000000000000000000000000e+01), SC_(-2.8622729492187500000000000000000000000000e+02), SC_(3.7567873848946006245925120666711493927607e+88) }, 
+      { SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(2.5720019531250000000000000000000000000000e+02), SC_(-1.0767953491210937500000000000000000000000e+02), SC_(2.5372912597656250000000000000000000000000e+02), SC_(1.3561316373323201227118432798149688806052e+109) }, 
+      { SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(6.1626294987323710336471221352110848444241e+23) }, 
+      { SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(-9.1358947753906250000000000000000000000000e+00), SC_(-2.5215240478515625000000000000000000000000e+02), SC_(-7.3551112059747611758081912144782250496691e+132) }, 
+      { SC_(-1.9365051269531250000000000000000000000000e+02), SC_(-3.9193811035156250000000000000000000000000e+02), SC_(8.5086669921875000000000000000000000000000e+00), SC_(-1.0641015625000000000000000000000000000000e+02), SC_(1.0771575927734375000000000000000000000000e+01), SC_(-4.1384279327506017243647033872337149714861e+91) }, 
+      { SC_(-1.8889770507812500000000000000000000000000e+02), SC_(-4.1017687988281250000000000000000000000000e+02), SC_(4.2337963867187500000000000000000000000000e+02), SC_(1.4455053710937500000000000000000000000000e+02), SC_(-6.9792602539062500000000000000000000000000e+01), SC_(-2.2787574128602828267604156433544903254627e-33) }, 
+      { SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-6.1309429675639581275953700138582019374755e+177) }, 
+      { SC_(-1.5616046142578125000000000000000000000000e+02), SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(5.0771533571105395112507671158341657849078e-21) }, 
+      { SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(2.4661963280733500827838102392456694588594e-19) }, 
+      { SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(8.5264099121093750000000000000000000000000e+01), SC_(1.7801276690066621389763062605734642527988e+18) }, 
+      { SC_(-1.1270410156250000000000000000000000000000e+02), SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.5407237979811772888083637388715258370934e+45) }, 
+      { SC_(-1.1138482666015625000000000000000000000000e+02), SC_(1.2247509765625000000000000000000000000000e+02), SC_(2.7968933105468750000000000000000000000000e+02), SC_(8.7044738769531250000000000000000000000000e+01), SC_(-2.3361907958984375000000000000000000000000e+01), SC_(1.5591866626930230847619035616477113126324e+05) }, 
+      { SC_(-7.9810058593750000000000000000000000000000e+01), SC_(-7.5833221435546875000000000000000000000000e+01), SC_(2.8190917968750000000000000000000000000000e+02), SC_(7.8582763671875000000000000000000000000000e+00), SC_(-3.8680749511718750000000000000000000000000e+02), SC_(3.1682075946920874259619218678195880254105e+18) }, 
+      { SC_(-6.8586181640625000000000000000000000000000e+01), SC_(2.4994097900390625000000000000000000000000e+02), SC_(4.1064758300781250000000000000000000000000e+02), SC_(-3.6700402832031250000000000000000000000000e+02), SC_(-3.1815307617187500000000000000000000000000e+02), SC_(1.4636978438673048081222495699492837883393e-19) }, 
+      { SC_(-6.1255645751953125000000000000000000000000e+01), SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(2.6551684570312500000000000000000000000000e+02), SC_(-7.8230935989066580429653289617001765644549e+183) }, 
+      { SC_(-5.2415618896484375000000000000000000000000e+01), SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(-8.5059667452233162170710384161543101987392e+29) }, 
+      { SC_(-4.9458404541015625000000000000000000000000e+01), SC_(2.2049340820312500000000000000000000000000e+02), SC_(-4.1617871093750000000000000000000000000000e+02), SC_(4.1257751464843750000000000000000000000000e+02), SC_(-2.7102307128906250000000000000000000000000e+02), SC_(2.4834063262581430275237945230018644021825e-09) }, 
+      { SC_(-1.8627311706542968750000000000000000000000e+01), SC_(1.0996417999267578125000000000000000000000e+01), SC_(1.9080078125000000000000000000000000000000e+01), SC_(1.2692131042480468750000000000000000000000e+01), SC_(-1.3681354522705078125000000000000000000000e+01), SC_(3.6751390679881780406349329643661305621334e+03) }, 
+      { SC_(-1.7951347351074218750000000000000000000000e+01), SC_(1.1807994842529296875000000000000000000000e+01), SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-9.1268844604492187500000000000000000000000e+00), SC_(-1.7687038523433296094129998013347882530319e+13) }, 
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+      { SC_(3.7801437377929687500000000000000000000000e+00), SC_(1.9889450073242187500000000000000000000000e+00), SC_(9.3119468688964843750000000000000000000000e+00), SC_(1.6687744140625000000000000000000000000000e+01), SC_(1.9523284912109375000000000000000000000000e+01), SC_(4.1363729867437335411880026687935004278846e+00) }, 
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+      { SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(7.0641620692870283423309468681437896822651e-01) }, 
+      { SC_(5.5905342102050781250000000000000000000000e+00), SC_(1.1688289642333984375000000000000000000000e+01), SC_(1.5137226104736328125000000000000000000000e+01), SC_(1.8379699707031250000000000000000000000000e+01), SC_(3.6627197265625000000000000000000000000000e-01), SC_(1.0903949493756432894914997387063010509170e+00) }, 
+      { SC_(6.2296276092529296875000000000000000000000e+00), SC_(1.1917144775390625000000000000000000000000e+01), SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(3.4912933349609375000000000000000000000000e+01), SC_(-3.0452671322061282725381645571599564184368e+58) }, 
+      { SC_(8.2418441772460937500000000000000000000000e+00), SC_(1.1891193389892578125000000000000000000000e+01), SC_(-1.8726692199707031250000000000000000000000e+01), SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-2.2307708740234375000000000000000000000000e+01), SC_(-1.2289091561745909342127302946539020611711e+17) }, 
+      { SC_(8.4281539916992187500000000000000000000000e+00), SC_(-1.3495532989501953125000000000000000000000e+01), SC_(5.7584381103515625000000000000000000000000e+00), SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-4.3967170715332031250000000000000000000000e+00), SC_(-8.4457471810243159993997923317595883314031e-04) }, 
+      { SC_(1.0050682067871093750000000000000000000000e+01), SC_(1.2849838256835937500000000000000000000000e+01), SC_(-9.7961959838867187500000000000000000000000e+00), SC_(1.2833629608154296875000000000000000000000e+01), SC_(5.9570693969726562500000000000000000000000e-01), SC_(5.6639158480937048267577742903863425719244e-01) }, 
+      { SC_(1.0309604644775390625000000000000000000000e+01), SC_(9.6258888244628906250000000000000000000000e+00), SC_(9.7252998352050781250000000000000000000000e+00), SC_(-1.0096530914306640625000000000000000000000e+00), SC_(-1.0777297973632812500000000000000000000000e+01), SC_(-5.4727991260600594818622693500786843572669e+00) }, 
+      { SC_(1.0469245910644531250000000000000000000000e+01), SC_(-1.4028240203857421875000000000000000000000e+01), SC_(-1.0793758392333984375000000000000000000000e+01), SC_(-9.6996726989746093750000000000000000000000e+00), SC_(3.0973449707031250000000000000000000000000e+01), SC_(4.2053633464978874215146276066756456822620e+31) }, 
+      { SC_(1.0549999237060546875000000000000000000000e+01), SC_(1.8008880615234375000000000000000000000000e+01), SC_(-3.7643814086914062500000000000000000000000e-01), SC_(-1.8622161865234375000000000000000000000000e+01), SC_(1.6360549926757812500000000000000000000000e+01), SC_(6.1730386523387868549145902183216998125762e+41) }, 
+      { SC_(1.1758998870849609375000000000000000000000e+01), SC_(8.3745918273925781250000000000000000000000e+00), SC_(1.6834991455078125000000000000000000000000e+01), SC_(1.0187465667724609375000000000000000000000e+01), SC_(3.0753097534179687500000000000000000000000e+01), SC_(6.1192819294685935939514571900373511125331e+09) }, 
+      { SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-3.7301330566406250000000000000000000000000e+01), SC_(2.6610626120927005151151193991881863075756e+06) }, 
+      { SC_(1.2938312530517578125000000000000000000000e+01), SC_(1.2876132965087890625000000000000000000000e+01), SC_(7.7931442260742187500000000000000000000000e+00), SC_(-1.4992691040039062500000000000000000000000e+01), SC_(-1.8290054321289062500000000000000000000000e+01), SC_(-8.1798659794806390896341908977435271892929e+06) }, 
+      { SC_(1.3032680511474609375000000000000000000000e+01), SC_(-1.5010318756103515625000000000000000000000e+00), SC_(1.5336971282958984375000000000000000000000e+00), SC_(1.8636779785156250000000000000000000000000e+00), SC_(4.9613464355468750000000000000000000000000e+01), SC_(9.6240419641050879480209931027942787358191e+26) }, 
+      { SC_(1.3628688812255859375000000000000000000000e+01), SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-6.7020702362060546875000000000000000000000e+00), SC_(3.1428482055664062500000000000000000000000e+01), SC_(-2.9533080314394465178416446450559211163004e+64) }, 
+      { SC_(1.4507125854492187500000000000000000000000e+01), SC_(1.1413269042968750000000000000000000000000e+00), SC_(4.8143997192382812500000000000000000000000e+00), SC_(-1.3374053955078125000000000000000000000000e+01), SC_(-3.8045288085937500000000000000000000000000e+01), SC_(-8.9270957135964855777864231951497515160700e-02) }, 
+      { SC_(1.4747787475585937500000000000000000000000e+01), SC_(7.1807880401611328125000000000000000000000e+00), SC_(-1.6622566223144531250000000000000000000000e+01), SC_(-6.1506652832031250000000000000000000000000e+00), SC_(-1.0021736145019531250000000000000000000000e+01), SC_(-7.8142849034366732539572238729342407894153e+14) }, 
+      { SC_(1.4897151947021484375000000000000000000000e+01), SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-1.6114730834960937500000000000000000000000e+01), SC_(4.9406845092773437500000000000000000000000e+01), SC_(-6.8326571052989051410923776720682169004023e+51) }, 
+      { SC_(1.5070297241210937500000000000000000000000e+01), SC_(3.4107093811035156250000000000000000000000e+00), SC_(1.2327018737792968750000000000000000000000e+01), SC_(-1.1047523498535156250000000000000000000000e+01), SC_(-4.8222610473632812500000000000000000000000e+01), SC_(-9.0819742729695319553008618079011493034431e-02) }, 
+      { SC_(1.7602958679199218750000000000000000000000e+01), SC_(7.9630680084228515625000000000000000000000e+00), SC_(-3.4933395385742187500000000000000000000000e+00), SC_(1.5636131286621093750000000000000000000000e+01), SC_(-7.6834869384765625000000000000000000000000e+00), SC_(1.4819504760088829624306068109981132052918e+01) }, 
+      { SC_(1.8200698852539062500000000000000000000000e+01), SC_(4.6417884826660156250000000000000000000000e+00), SC_(1.1155906677246093750000000000000000000000e+01), SC_(-1.0684471130371093750000000000000000000000e+00), SC_(4.8745956420898437500000000000000000000000e+01), SC_(8.2333014766683380658500736752922662913969e+35) }, 
+      { SC_(1.8371650695800781250000000000000000000000e+01), SC_(3.2382678985595703125000000000000000000000e+00), SC_(1.8886203765869140625000000000000000000000e+00), SC_(-1.3677696228027343750000000000000000000000e+01), SC_(-3.6137557983398437500000000000000000000000e+01), SC_(8.7300051886749816455465127014758220630644e+03) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.2943706512451171875000000000000000000000e+00), SC_(-1.9183296203613281250000000000000000000000e+01), SC_(1.7429133108056441106447473558858049597528e+08) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.6769485473632812500000000000000000000000e+01), SC_(1.1809819624735874941138601211320937112985e+20) }, 
+      { SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.8921453857421875000000000000000000000000e+02), SC_(2.1610070800781250000000000000000000000000e+02), SC_(2.4815161132812500000000000000000000000000e+02), SC_(4.8837939453125000000000000000000000000000e+02), SC_(1.1234842046645656478399433357722102843208e+63) }, 
+      { SC_(6.1557495117187500000000000000000000000000e+01), SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(2.1674477111723030285923492008898849878320e+04) }, 
+      { SC_(9.4503601074218750000000000000000000000000e+01), SC_(4.9723632812500000000000000000000000000000e+01), SC_(2.3279870605468750000000000000000000000000e+02), SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(4.5853070760608922987397680746647819058985e+04) }, 
+      { SC_(9.4896057128906250000000000000000000000000e+01), SC_(-5.0443908691406250000000000000000000000000e+01), SC_(-2.3778826904296875000000000000000000000000e+02), SC_(-4.5794592285156250000000000000000000000000e+02), SC_(1.0284307861328125000000000000000000000000e+02), SC_(-4.1286224390518503050086482630597284841834e+164) }, 
+      { SC_(1.2343554687500000000000000000000000000000e+02), SC_(-3.1104504394531250000000000000000000000000e+02), SC_(3.1187390136718750000000000000000000000000e+02), SC_(1.8677545166015625000000000000000000000000e+02), SC_(-1.8749200439453125000000000000000000000000e+02), SC_(4.9969504891988273564692350858428032034076e+43) }, 
+      { SC_(1.3306365966796875000000000000000000000000e+02), SC_(-3.1518371582031250000000000000000000000000e+02), SC_(8.4382263183593750000000000000000000000000e+01), SC_(4.0488085937500000000000000000000000000000e+02), SC_(2.2665441894531250000000000000000000000000e+02), SC_(-4.8867065198344074982296348271251953749483e-78) }, 
+      { SC_(1.3976336669921875000000000000000000000000e+02), SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(3.6627197265625000000000000000000000000000e+00), SC_(2.3687914145194196830239194979923629978246e+00) }, 
+      { SC_(1.5196862792968750000000000000000000000000e+02), SC_(7.5208618164062500000000000000000000000000e+01), SC_(2.5750354003906250000000000000000000000000e+02), SC_(-4.4022045898437500000000000000000000000000e+02), SC_(-6.4754302978515625000000000000000000000000e+01), SC_(1.0561036580393381996970837387609820091821e+03) }, 
+      { SC_(2.0732153320312500000000000000000000000000e+02), SC_(-2.4193530273437500000000000000000000000000e+02), SC_(-3.3767150878906250000000000000000000000000e+02), SC_(-9.1280151367187500000000000000000000000000e+01), SC_(-3.6626367187500000000000000000000000000000e+02), SC_(8.0908024626992620813895438253149816247800e+255) }, 
+      { SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(1.5431372244833444989774945930181751954140e-28) }, 
+      { SC_(2.3033087158203125000000000000000000000000e+02), SC_(-3.9926159667968750000000000000000000000000e+02), SC_(-1.1391021728515625000000000000000000000000e+01), SC_(-1.5567205810546875000000000000000000000000e+02), SC_(7.8525085449218750000000000000000000000000e+01), SC_(5.9363148120112755714166978250790490055026e+231) }, 
+      { SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(2.5412476580675151610198476612848155687784e-03) }, 
+      { SC_(2.5774011230468750000000000000000000000000e+02), SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-5.5482592911765229670127582592804835964237e+07) }, 
+      { SC_(2.6293139648437500000000000000000000000000e+02), SC_(-4.7077978515625000000000000000000000000000e+02), SC_(-2.3407934570312500000000000000000000000000e+02), SC_(4.2885412597656250000000000000000000000000e+02), SC_(-2.5586175537109375000000000000000000000000e+02), SC_(-1.5934527454871155849403111121808288778568e+269) }, 
+      { SC_(2.9397497558593750000000000000000000000000e+02), SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(3.0753100585937500000000000000000000000000e+02), SC_(5.9304523939573133871694979988794115377472e+87) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(5.9267564106025601167440826043367866028487e+87) }, 
+      { SC_(3.1576904296875000000000000000000000000000e+02), SC_(2.8022741699218750000000000000000000000000e+02), SC_(1.6928509521484375000000000000000000000000e+02), SC_(-4.1887426757812500000000000000000000000000e+02), SC_(-1.2058114624023437500000000000000000000000e+02), SC_(-5.0454599088085062279202352416045361107404e+89) }, 
+      { SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(3.8342407226562500000000000000000000000000e+01), SC_(4.6591918945312500000000000000000000000000e+01), SC_(4.9613464355468750000000000000000000000000e+02), SC_(1.1393652562647513959661812709276943653070e+276) }, 
+      { SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(-1.4904760742187500000000000000000000000000e+02), SC_(1.2828144126059547362039134142446288034034e-10) }, 
+      { SC_(3.5587512207031250000000000000000000000000e+02), SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(4.3428388682870413894831054141491862458551e+38) }, 
+      { SC_(4.0018322753906250000000000000000000000000e+02), SC_(-2.6951184082031250000000000000000000000000e+02), SC_(-3.0550463867187500000000000000000000000000e+02), SC_(3.4430871582031250000000000000000000000000e+02), SC_(3.8599804687500000000000000000000000000000e+02), SC_(6.5613961348691474586046824924000243590375e+176) }, 
+      { SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(-1.3208374023437500000000000000000000000000e+01), SC_(1.0571107981734581663978880846581759853793e-02) }, 
+      { SC_(4.3900158691406250000000000000000000000000e+02), SC_(-2.5992407226562500000000000000000000000000e+02), SC_(3.7594274902343750000000000000000000000000e+02), SC_(-4.8347949218750000000000000000000000000000e+02), SC_(5.0156372070312500000000000000000000000000e+01), SC_(1.6617273173940173749692119011363235352267e+13) }, 
+      { SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(-1.3494188431073248493790028245922157972036e+39) }, 
+      { SC_(4.6308850097656250000000000000000000000000e+02), SC_(1.0592816162109375000000000000000000000000e+02), SC_(4.6805725097656250000000000000000000000000e+01), SC_(-2.7344873046875000000000000000000000000000e+02), SC_(2.1135803222656250000000000000000000000000e+01), SC_(3.6785304966163030487123076706740434930886e+91) }, 
+      { SC_(4.7974829101562500000000000000000000000000e+02), SC_(-1.4536187744140625000000000000000000000000e+02), SC_(-6.1130004882812500000000000000000000000000e+01), SC_(1.8040661621093750000000000000000000000000e+02), SC_(-3.8888085937500000000000000000000000000000e+02), SC_(3.5538673162086016498889909145538731312179e+224) }, 
+      { SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(7.0894449011388970455969152120597029644315e+199) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_dist_data2.ipp b/src/boost/libs/math/test/hypergeometric_dist_data2.ipp
new file mode 100644
index 00000000..f7129c39
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_dist_data2.ipp
@@ -0,0 +1,1557 @@
+// Copyright John Maddock 2008
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// High precision test data generated with NTL::RR at 1000 bit presision, a few values
+// (5) are commented out as they are too close to numeric_limits<double>::min(), to expect
+// our implementation to cope :-(
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<T, 7>, 1542-5> hypergeometric_dist_data2 = {{
+      {{ SC_(3.0), SC_(3.0), SC_(4.0), SC_(3.0), SC_(0.25), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(15.0), SC_(1.0), SC_(0.4351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648352), SC_(0.9186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813187), SC_(0.08131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868132) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(29.0), SC_(1.0), SC_(0.2668308702791461412151067323481116584564860426929392446633825944170771756978653530377668308702791461), SC_(0.9783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025), SC_(0.02162014230979748221127531472359058565955117679255610290093048713738368910782703886152162014230979748) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(36.0), SC_(0.0), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.2358543417366946778711484593837535014005602240896358543417366946778711484593837535014005602240896359) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(126.0), SC_(1.0), SC_(0.06915207373271889400921658986175115207373271889400921658986175115207373271889400921658986175115207373), SC_(0.9988632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388632873), SC_(0.00113671274961597542242703533026113671274961597542242703533026113671274961597542242703533026113671275) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(244.0), SC_(1.0), SC_(0.03627933583224194252510198858932092911228529708410483373225549082479037769648797964744313477547456683), SC_(0.9996972540440001940250325744612878244274170752064443072888179693942237409698909947295441582575213971), SC_(0.000302745955999805974967425538712175572582924793555692711182030605776259030109005270455841742478602886) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(312.0), SC_(1.0), SC_(0.02847574062696975257912919981170162686602889901302928997151588169117471057103875276264032617108024223), SC_(0.9998148931247157572227585711664126766294591209019172923332242904901342822720273192215936744512618385), SC_(0.0001851068752842427772414288335873233705408790980827076667757095098657177279726807784063255487381615377) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(835.0), SC_(2.0), SC_(0.2581655589043871544223599921164347357001646994902729971495771013355154666872564732609107917496038177e-4), SC_(0.999999989656828569535771056796474674822326294063914283242267742404763568288643161568250269995561228), SC_(0.1034317143046422894320352532517767370593608571675773225759523643171135683843174973000443877201938372e-7) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(1339.0), SC_(2.0), SC_(0.1003947183170306346342155134292225965295905454265948800011213749375291485656947505252493605792007758e-4), SC_(0.9999999974951417585571198943559003635423503859882598446458363273173309646325062733110092184319021812), SC_(0.2504858241442880105644099636457649614011740155354163672682669035367493726688990781568097818842334726e-8) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2247.0), SC_(0.0), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.004001774340182039621816866485762739636231454159698130959480037736939867635378997278767648102672979931) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(6337.0), SC_(3.0), SC_(0.2358879496308800831829226846824974806129072443631243697852416096666081626809510143119559709141024524e-10), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(10473.0), SC_(0.0), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.0008591885023730048984584491483158548828081452311433244677211212651901929749810224714931124815710299385) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(19470.0), SC_(1.0), SC_(0.0004621546458171547706035663976460440873902809077223878291601948898604009482839619586692293887835934892), SC_(0.9999999525159191114148724475287847286487033774428645094517372539046053407646527981249525685746332899), SC_(0.474840808885851275524712152713512966225571354905482627460953946592353472018750474314253667100720009e-7) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(50688.0), SC_(1.0), SC_(0.000177542806299746271839033476123055921258690574273239708494936745387243192897196272502864976921637669), SC_(0.9999999929940820013404761079588834178272825101176741447805926107966813260382970495239146011235174132), SC_(0.7005917998659523892041116582172717489882325855219407389203318673961702950476085398876482586792219422e-8) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(130605.0), SC_(0.0), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.6890901710617352197436236472879500914973961458440866880787047946482061245595384134622587257191965793e-4) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(256574.0), SC_(3.0), SC_(0.3552371635159513860325600038240152740963615324848620192169438646974730526842238040838310286570387811e-15), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(523360.0), SC_(0.0), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.1719651025451744114496590283987316173561482561341785526470663472723107246227739593870072242726417493e-4) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(1030167.0), SC_(0.0), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.8736430624445862807357391600471219322541802740147924513384939342307243204354924979762204085240624246e-5) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2063277.0), SC_(2.0), SC_(0.4228218588078016537393349224242898158519654500706774154042360990115337890442550174169690336289444862e-11), SC_(0.9999999999999999993169078871608882230549845820699047309406224442792096195912643384389346637753886614), SC_(0.6830921128391117769450154179300952690593775557207903804087356615610653362246113385544044834804609231e-18) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2427690.0), SC_(1.0), SC_(0.3707221750341069722722473098862872930454653367564927579893098340856950440114769756467321264276216895e-5), SC_(0.9999999999969458799372235119189781595585754725019076995712217203898365865515984553898056310910853473), SC_(0.3054120062776488081021840441424527498092300428778279610163413448401544610194368908914652696290939e-11) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(15.0), SC_(3.0), SC_(0.008791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(29.0), SC_(3.0), SC_(0.001094690749863163656267104542966611932129173508483853311439518336070060207991242474001094690749863164), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(36.0), SC_(0.0), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.3053221288515406162464985994397759103641456582633053221288515406162464985994397759103641456582633053) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(126.0), SC_(1.0), SC_(0.09070353302611367127496159754224270353302611367127496159754224270353302611367127496159754224270353303), SC_(0.9977388632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388633), SC_(0.002261136712749615975422427035330261136712749615975422427035330261136712749615975422427035330261136713) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(244.0), SC_(2.0), SC_(0.0006021466528172936518689126736816751719881377109394993150581824203284709991118336870944918634933538063), SC_(0.999998327370408840850967030798128662013411144061914056946347060604387976469446911573091404189268074), SC_(0.1672629591159149032969201871337986588855938085943053652939395612023530553088426908595810731925982795e-5) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(312.0), SC_(1.0), SC_(0.03772190883486392251043220859629945824324000861704419426647411296306639113401897345471663488466724646), SC_(0.9996305841238939465264535278019356434458602283516711480615639935212593650515027965499908244436820311), SC_(0.0003694158761060534735464721980643565541397716483288519384360064787406349484972034500091755563179689308) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(835.0), SC_(0.0), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.0143196036869062017604181206364422303621832138705652424240277250778827879749668359137046452579222358) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(1339.0), SC_(2.0), SC_(0.2006391451395746964620923808802577340823403864438685101818817897329362475077881616036046352892710116e-4), SC_(0.9999999899805670342284795774236014541694015439530393785833453092693238585300250932440368737276087246), SC_(0.1001943296577152042257639854583059845604696062141665469073067614146997490675596312627239127536933891e-7) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2247.0), SC_(0.0), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.00533332277020853422125294019366947394153060996964505859188714998595465390859373123962491060520951338) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(6337.0), SC_(1.0), SC_(0.001891847586779657220992289872156166488235360255077830625107557828393192391528917256534678376235067316), SC_(0.9999991035786138127295078882572136695730741748298899712547699421248349449556601798499554117049193322), SC_(0.8964213861872704921117427863304269258251701100287452300578751650550443398201500445882950806677721395e-6) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(10473.0), SC_(1.0), SC_(0.001145147061888397702122110660001930252283314446726483295739001580211816397736411435562758610336308275), SC_(0.9999996717940432933781331338466855928064043406039015380040831299199686693233212861051789564761812013), SC_(0.3282059567066218668661533144071935956593960984619959168700800313306766787138948210435238187987321505e-6) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(19470.0), SC_(0.0), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.0006162378515608730608697024535632939692095283834177708295145694424926537943287087306447365329337601333) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(50688.0), SC_(2.0), SC_(0.1401146740059159687000362838102443888793059676616274704507737953139928522420410555413751420906679839e-7), SC_(0.9999999999998157016362745429606976083395019540829725278619661333353710917379396616259673781922745177), SC_(0.1842983637254570393023916604980459170274721380338666646289082620603383740326218077254822588202299001e-12) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(130605.0), SC_(3.0), SC_(0.1077312767938766344390907616615286138463711258594000990959287806376972053683257695934949699507976875e-13), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(256574.0), SC_(3.0), SC_(0.1420948654063805544130240015296061096385446129939448076867775458789892210736894719317979792309046884e-14), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(523360.0), SC_(2.0), SC_(0.1314318489170914747961350984206668104616213903674985872735338593180689053854775895523763664456140065e-9), SC_(0.9999999999999998325781444917144037122785784811016969180680195157170424802825618788227889935366343215), SC_(0.1674218555082855962877214215188983030819319804842829575197174381211772110064633656785356306142944377e-15) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(1030167.0), SC_(1.0), SC_(0.116485289360067976066396337974349660300380614138788758148273861062187583424300947722703945197920028e-4), SC_(0.9999999999660775592353976223337476050051999867433202612323477356002373559905965339602305294458630394), SC_(0.3392244076460237766625239499480001325667973876765226439976264400940346603976947055413696055605937866e-10) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2063277.0), SC_(3.0), SC_(0.2732368451356447107780061671720381076237510222883161521634942646244261344898444398493772797510164856e-17), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2427690.0), SC_(3.0), SC_(0.1677382432156413377242616054304921472914716600670585866309205358076859280920068600936144194911254535e-17), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(15.0), SC_(2.0), SC_(0.2417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582418), SC_(0.967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967), SC_(0.03296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703297) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(29.0), SC_(2.0), SC_(0.07578628268283440697233800682076544145509662751042061386888973095869647593785524820007578628268283441), SC_(0.9957475474716854027198854785061681613405751336785819544440234095406509199612647888509957475474716854), SC_(0.004252452528314597280114521493831838659424866321418045555976590459349080038735211149004252452528314597) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(36.0), SC_(2.0), SC_(0.05052202699261522790934555640437993379169849758085052202699261522790934555640437993379169849758085052), SC_(0.9978100331041507512095747389865036923860453272217978100331041507512095747389865036923860453272217978), SC_(0.00218996689584924879042526101349630761395467277820218996689584924879042526101349630761395467277820219) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(126.0), SC_(1.0), SC_(0.1179883356437251008454785008679579883356437251008454785008679579883356437251008454785008679579883356), SC_(0.995526581993930538383724851073395526581993930538383724851073395526581993930538383724851073395526582), SC_(0.004473418006069461616275148926604473418006069461616275148926604473418006069461616275148926604473418006) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(244.0), SC_(4.0), SC_(0.6940371747548336236386729756589155970356589568228438393939400879765686942275630326123695983095364296e-8), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(312.0), SC_(2.0), SC_(0.0007324642492206586895229555067242613251114564780008581410965847177294444880392033680527501919352863389), SC_(0.9999968162485042758712150055552977741084159565906715771321122858801240872955223982340171995396496742), SC_(0.3183751495724128784994444702225891584043409328422867887714119875912704477601765982800460350325761298e-5) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(835.0), SC_(2.0), SC_(0.0001028941677509724898412851084980980319980090827127785192792956118852539541178586164607109839551672529), SC_(0.9999998346584374697424940569628764124242063834736297681756742475761483873064351548770776333425052069), SC_(0.1653415625302575059430371235875757936165263702318243257524238516126935648451229223666574947930983215e-6) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(1339.0), SC_(0.0), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.01190906795731755628653076381697711591552417615789043811617444637785850921524094526840220466959215269) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(2247.0), SC_(0.0), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.007106347150297289062213273633609457053934298721927331214718010681166855951537414428146078322490779845) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(6337.0), SC_(2.0), SC_(0.1792088020315431532357710646185190863500499136480420547938955947325411169746369362047374527535586343e-5), SC_(0.9999999996226239704452740671125367621685059250794582114650439116028086076612450530346364353921831), SC_(0.3773760295547259328874632378314940749205417885349560883971913923387549469653635646078168999789679461e-9) }}, 
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+      {{ SC_(1030167.0), SC_(6337.0), SC_(2063277.0), SC_(454.0), SC_(0.4025422160819852297568951968523274596062246125438904788756962198164406817266817833667333487098811031e-1199), SC_(0.436103336876351429519087945530031646475456673813534761357883347838764593638289935338391583046698877e-1199), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(6337.0), SC_(2427690.0), SC_(3237.0), SC_(0.1998166273103297961784253705763905907278331516667620744588693045942543327518672320522462390121057999e-43), SC_(0.9999999999999999999999999999999999999999999524730441601129242156027593234048677021216477272047549735), SC_(0.4752695583988707578439724067659513229787835227279524502651221127946129470404914059241899485939245177e-43) }}, 
+      {{ SC_(1030167.0), SC_(10473.0), SC_(2063277.0), SC_(9877.0), SC_(0.7783725693103413705570710389260868973240616725731925865900828253752567827898934667073187007389470159e-2176), SC_(1.0), SC_(0.4934433456851754059627122114623322636843600746350737771039776009297673897244589085180450216278534745e-2177) }}, 
+      {{ SC_(1030167.0), SC_(10473.0), SC_(2427690.0), SC_(5712.0), SC_(0.7355901010579335219765238522179016937705926659452295729977036156048032907611269656358611739668634818e-137), SC_(1.0), SC_(0.1163249001626992207066540272519157169051103416567797715789509742964335364566244129318021762330807649e-136) }}, 
+      {{ SC_(1030167.0), SC_(19470.0), SC_(2063277.0), SC_(6846.0), SC_(0.6703080713107374656044787470489971833315841258162916573058643493102267089053779105352055684607339629e-380), SC_(0.1459126867347770655865859989875429623027864182357521093362522814183914369575106484463985221090338746e-379), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(19470.0), SC_(2427690.0), SC_(2833.0), SC_(0.8785288357918805501451553139735155116781962715299419647419967431421184416853195710404807906416977552e-1550), SC_(0.1139234820978152677581944812918196842184586175178446208622563077041369083565215813619803609808418003e-1549), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(50688.0), SC_(2063277.0), SC_(5958.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2696611800809340133866864913059483733762650252007098931107252423414951968838899485622090902801604347e-7429)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3094335971442905044072386934961293807150112770244272987590834754277833101226687685341807913602359489e-7429)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(50688.0), SC_(2427690.0), SC_(24749.0), SC_(0.2578716269345720961744344112334709803169389018972677518401353907891401845167717494934082857214768696e-188), SC_(1.0), SC_(0.8538547595672537381757380908369587958654029695913527955575657852406906964195281915375545945375373932e-188) }}, 
+      {{ SC_(1030167.0), SC_(130605.0), SC_(2063277.0), SC_(67199.0), SC_(0.1772402217747576023975265826925769595264611577464025377584499804202175059831312745179381288679219898e-30), SC_(0.9999999999999999999999999999973844048905181626720565455251696667915520055031995673391485820685310697), SC_(0.2615595109481837327943454474830333208447994496800432660851417931468930325870724472627377999209154375e-29) }}, 
+      {{ SC_(1030167.0), SC_(130605.0), SC_(2427690.0), SC_(62807.0), SC_(0.2526562134449195027792279400361520142369933233947774941848233866437381584491456912781842143198296159e-391), SC_(1.0), SC_(0.9235445258826835146504359095658972972561150774551460899132768721999586312051548667127893915560202981e-391) }}, 
+      {{ SC_(1030167.0), SC_(256574.0), SC_(2063277.0), SC_(136078.0), SC_(0.1889505875800464975393622983597902398805285201058519859012948813401757384027515978291586034505061829e-248), SC_(1.0), SC_(0.1236113837302074642637204443211773020459272585535378891152669651196365415708839777030544349579933748e-247) }}, 
+      {{ SC_(1030167.0), SC_(256574.0), SC_(2427690.0), SC_(5059.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3415687552349317027106561182030892561608054053847049256991933370024960969305479793930443943170209826e-55782))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3494259919719804048098668133719877462120862735795090904931820959068567376960513319071259582269982684e-55782))), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(523360.0), SC_(2063277.0), SC_(45322.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.6406250319059851000414186122521980525283948930917260704720124702812431881419266715502486311348930843e-116984)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6767892889836179660205690345292677556531677014893649920196102930641077389045148072153989233371368326e-116984)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(523360.0), SC_(2427690.0), SC_(169882.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2359533635629512164764734112351286744012027902065592462710641731769499440473362833287635226506536775e-6029)), SC_(BOOST_MATH_SMALL_CONSTANT(0.5661726060614987628669304125055108672612592607173491522003446602490067211732156035758926889094610648e-6029)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(1030167.0), SC_(2063277.0), SC_(744478.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.4511153571077027519604414144322801206679870058587253174456021218360208321437627577138707488632852896e-92404))), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.7754310234985811873988039144864472895479722845395841523576919087158739737428332572815461903769407882e-92405))) }}, 
+      {{ SC_(1030167.0), SC_(1030167.0), SC_(2427690.0), SC_(572726.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1391919893786702038962612009846824397331628724453809213678113652788484674273410824482758277274826774e-27643)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.8848627313045931655152816475946061877553473103461211294820092561884413448622321591917114894334786741e-27644)) }}, 
+      {{ SC_(2063277.0), SC_(3.0), SC_(2427690.0), SC_(1.0), SC_(0.05744948917837785396631837850087687638865986911538300396398836885344514018919283261725123608911631573), SC_(0.06083168584917255775414716520408138122920687784053330869080901476158912618517300547284053088480152357), SC_(0.9391683141508274422458528347959186187707931221594666913091909852384108738148269945271594691151984764) }}, 
+      {{ SC_(2063277.0), SC_(4.0), SC_(2427690.0), SC_(2.0), SC_(0.09765192319603535795200082936537967044984677193469420307214403317599152054043820712170776297045732308), SC_(0.1096576474471902367301475798867712164541302638078804102268810313495852909563466728647636960006874216), SC_(0.8903423525528097632698524201132287835458697361921195897731189686504147090436533271352363039993125784) }}, 
+      {{ SC_(2063277.0), SC_(15.0), SC_(2427690.0), SC_(2.0), SC_(0.1489538545802902607664120997954020858865667522818151389900602349430345082934769865095821871577947918e-8), SC_(0.1527562590656629047323044385006577628342277802825044663380264946841620738937005774513717697678843875e-8), SC_(0.9999999984724374093433709526769556149934223716577221971749553366197350531583792610629942254862823023) }}, 
+      {{ SC_(2063277.0), SC_(29.0), SC_(2427690.0), SC_(24.0), SC_(0.1825580820948670496065127391210869986226421373788908976816528717196305923822458800333980579115728127), SC_(0.445163736077329563124004070889775468206373091875399633746378366762360683651027004054511129031081457), SC_(0.554836263922670436875995929110224531793626908124600366253621633237639316348972995945488870968918543) }}, 
+      {{ SC_(2063277.0), SC_(36.0), SC_(2427690.0), SC_(22.0), SC_(0.0003125643546548426465134199665900176038001607706081738565500117820653374268332937528261593867942722811), SC_(0.0004170661129387665482411517580309840599293201092352328271804108145419950379407776296795046335742746907), SC_(0.9995829338870612334517588482419690159400706798907647671728195891854580049620592223703204953664257253) }}, 
+      {{ SC_(2063277.0), SC_(126.0), SC_(2427690.0), SC_(124.0), SC_(0.3090497262600759339310995264132131683837693477210209596697565157782818504892226262835886329947677904e-6), SC_(0.9999999707466493421791804803401295750261251967731062983856754109793651076882563380203078160781201427), SC_(0.292533506578208195196598704249738748032268937016143245890206348923117436619796921839218798573098886e-7) }}, 
+      {{ SC_(2063277.0), SC_(244.0), SC_(2427690.0), SC_(125.0), SC_(0.1926311146754487317839352173396317360254859601590752007913400851592802919026180964385042186799388985e-34), SC_(0.2358551776787649570027910244313940189611854169940576794125495099425455366841057480399695284027407998e-34), SC_(0.9999999999999999999999999999999999764144822321235042997208975568605981038814583005942320587450490057) }}, 
+      {{ SC_(2063277.0), SC_(312.0), SC_(2427690.0), SC_(101.0), SC_(0.1166767818366514624165565698899735105639350733982911242849414658751117357600131962830133143705241353e-96), SC_(0.1273746118350149699556320311421523675800002438203319168937701298695872308610721640141197137021741127e-96), SC_(0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998726) }}, 
+      {{ SC_(2063277.0), SC_(835.0), SC_(2427690.0), SC_(537.0), SC_(0.23461228902101219097178707917291860335053529413516261545028998077215105088793120601212977276059809e-48), SC_(0.3431363619828340409481381658562477455080489826352272059292470590381196707245019036327290686732838148e-48), SC_(0.9999999999999999999999999999999999999999999999996568636380171659590518618341437522544919510173647728) }}, 
+      {{ SC_(2063277.0), SC_(1339.0), SC_(2427690.0), SC_(567.0), SC_(0.3041470601326637639494336714081772092631985361508198839012668100830373463893945362825999488268208953e-281), SC_(0.3492944674692955483087920207427729775582252986994579321749324087059134559172244801668433526825047348e-281), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(2247.0), SC_(2427690.0), SC_(146.0), SC_(0.1961583257344876361407986442912971748133704876860571439720756997039603833526484722848050981525197114e-1509), SC_(0.1985803181231377171100024006050801391647985792237330316683697442131384730223214433005701459145186371e-1509), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(6337.0), SC_(2427690.0), SC_(2672.0), SC_(0.1946697310930234468246720701513688516379049429450611162377788936941304610494217178093823793465460629e-1340), SC_(0.2231398150887527500500636624540547473831434192427597288446010950080238974412696796973001269796604522e-1340), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(10473.0), SC_(2427690.0), SC_(9239.0), SC_(0.1551193531816254902127180217675278330953801636526937883589391307214311968656400971435645306065954152e-21), SC_(0.9999999999999999999995265520566596472139336012063899453012696720276036981041380189756120978583403695), SC_(0.4734479433403527860663987936100546987303279723963018958619810243879021416596305465302368046704094033e-21) }}, 
+      {{ SC_(2063277.0), SC_(19470.0), SC_(2427690.0), SC_(4675.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.623040705399711425127124917791866020596913429898404691576374003232002649354732173377846476674429555e-7957)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6583688419938623576817522468445990251506727431116697161171189880925188638737939276886488942322787167e-7957)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(50688.0), SC_(2427690.0), SC_(5656.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1529278237073002921981596930779124386741258366470694934804851463595902054455594437519411007451134623e-30822)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1559684068913597863769291907119127621669934794968537447893450088285543334777687079420401191985208386e-30822)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(130605.0), SC_(2427690.0), SC_(12086.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1838031979064376860156110323884379948298364325044049860781553255686817375515358349062016312896522764e-88900))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1860779122972254559882711932578481205298684299140770720149987268252855087660161273279636415996449002e-88900))), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(256574.0), SC_(2427690.0), SC_(208651.0), SC_(0.1043358350305396213816825473194597727628397567524572489210649347280772703074417268374663807425040052e-624), SC_(0.4058279349421142862579906719998452318972757308871573552913945099588747110076803516651018133973772923e-624), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(523360.0), SC_(2427690.0), SC_(184261.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.3757927138352356631892501916344494185815670042854429196331040880186979716874474145827399077949946912e-240005)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3785639581119621756070451029910607902592003937852821432380999689590450613028232909193510596494914717e-240005)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(1030167.0), SC_(2427690.0), SC_(803033.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2014503510496423731073796011823145616941176229174944683082735797595277609595578046438978094454227689e-14930)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3276248348930073080804548929222879527457119577454409744322412672836109490789223127331688301365927403e-14930)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(2063277.0), SC_(2427690.0), SC_(1949025.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.9948928329918925300825475902876870461866169772968706503745565572554925906532956518816712676968759027e-155653)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2736845628398119894621780530003341353062573210278622168826610191467448846343071724458397259050505966e-155654)) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_test_data.ipp b/src/boost/libs/math/test/hypergeometric_test_data.ipp
new file mode 100644
index 00000000..b1a99530
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_test_data.ipp
@@ -0,0 +1,412 @@
+// Copyright Gautam Sewani 2008
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data generated by Mathematica, 104 values are commented out because they have only a low
+// absolute error, not a low relative error.
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+  static const boost::array<boost::array<T, 8>, 398-105> hypergeometric_test_data = {{
+     //{{SC_(1.0),SC_(1.0),SC_(2.0),SC_(1.0),SC_(0.5),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(5.0),SC_(4.0),SC_(6.0),SC_(3.0),SC_(0.6666666666666666666666666666666666666667),SC_(0.6666666666666666666666666666666666666667),SC_(0.3333333333333333333333333333333333333333)}},
+     //{{SC_(5.0),SC_(3.0),SC_(13.0),SC_(3.0),SC_(0.03496503496503496503496503496503496503497),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(5.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)}},
+     {{SC_(5.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)}},
+     //{{SC_(1.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.2307692307692307692307692307692307692308),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11.0),SC_(9.0),SC_(13.0),SC_(7.0),SC_(0.4615384615384615384615384615384615384615),SC_(0.4615384615384615384615384615384615384615),SC_(0.5384615384615384615384615384615384615385)}},
+     {{SC_(11.0),SC_(9.0),SC_(13.0),SC_(8.0),SC_(0.4615384615384615384615384615384615384615),SC_(0.9230769230769230769230769230769230769231),SC_(0.0769230769230769230769230769230769230769)}},
+     {{SC_(3.0),SC_(9.0),SC_(13.0),SC_(1.0),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)}},
+     //{{SC_(3.0),SC_(9.0),SC_(13.0),SC_(3.0),SC_(0.2937062937062937062937062937062937062937),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(3.0),SC_(9.0),SC_(13.0),SC_(1.0),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(14.0),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(14.0),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(17.0),SC_(0.02400909435392194012883668056081849185297),SC_(0.9984438549955791335101679929266136162688),SC_(0.0015561450044208664898320070733863837312)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(12.0),SC_(0.03126436781609195402298850574712643678161),SC_(0.03126436781609195402298850574712643678161),SC_(0.9687356321839080459770114942528735632184)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(13.0),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(13.0),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(3.0),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(3.0),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(2.0),SC_(0.3684729064039408866995073891625615763547),SC_(0.5310344827586206896551724137931034482759),SC_(0.4689655172413793103448275862068965517241)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(0.0),SC_(0.01806239737274220032840722495894909688013),SC_(0.01806239737274220032840722495894909688013),SC_(0.9819376026272577996715927750410509031199)}},
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+     {{SC_(49.0),SC_(9.0),SC_(52.0),SC_(8.0),SC_(0.3677375565610859728506787330316742081448),SC_(0.4415837104072398190045248868778280542986),SC_(0.5584162895927601809954751131221719457014)}},
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+     //{{SC_(12.0),SC_(72.0),SC_(86.0),SC_(12.0),SC_(0.1004778059022558548188756178036665047061),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(12.0),SC_(72.0),SC_(86.0),SC_(12.0),SC_(0.1004778059022558548188756178036665047061),SC_(1.0),SC_(0.e-40)}},
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+     {{SC_(7.0),SC_(72.0),SC_(86.0),SC_(1.0),SC_(0.00004023970159105609317922988205868082117935),SC_(0.00004087842701313634862651924526596146913458),SC_(0.9999591215729868636513734807547340385309)}},
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+     {{SC_(77.0),SC_(8.0),SC_(86.0),SC_(1.0),SC_(5.224239090042985157965580273765767111892e-8),SC_(5.241200905270397447439494495433837784333e-8),SC_(0.9999999475879909472960255256050550456616)}},
+     {{SC_(77.0),SC_(8.0),SC_(86.0),SC_(2.0),SC_(4.632158659838113506729481176072313505878e-6),SC_(4.684570668890817481203876121026651883721e-6),SC_(0.9999953154293311091825187961238789733481)}},
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+     //{{SC_(77.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.3965686153374173505799193458109659077391),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(29.0),SC_(8.0),SC_(86.0),SC_(7.0),SC_(0.00167666525814056836712273646335578512841),SC_(0.9999191082550897094208844293811538875596),SC_(0.0000808917449102905791155706188461124404)}},
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+     //{{SC_(29.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.00008089174491029057911557061884611244040574),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(29.0),SC_(8.0),SC_(86.0),SC_(6.0),SC_(0.01428810393893701738939375420946669065949),SC_(0.9982424429969491410537616929177981024312),SC_(0.0017575570030508589462383070822018975688)}},
+     //{{SC_(29.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.00008089174491029057911557061884611244040574),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(23.0),SC_(0.000805225301249190134657693037802553099772),SC_(0.9997230974788395286912976093894277642599),SC_(0.0002769025211604713087023906105722357401)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(3.0),SC_(1.549234238041493564944898578804393139565e-6),SC_(1.682815234186091880242156421991560710112e-6),SC_(0.9999983171847658139081197578435780084393)}},
+     //{{SC_(48.0),SC_(41.0),SC_(135.0),SC_(38.0),SC_(9.373176834116244931418259196234568800165e-21),SC_(0.999999999999999999999914730022392732307),SC_(8.5269977607267693e-23)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(9.0),SC_(0.01430556344702512505400957461643023189953),SC_(0.02185170684715481437694029566249789236978),SC_(0.9781482931528451856230597043375021076302)}},
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+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(24.0),SC_(0.0002156853485488902146404534922685410088675),SC_(0.9999387828273884189059380628816963052688),SC_(0.0000612171726115810940619371183036947312)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(18.0),SC_(0.0635028350807540704799954651407904540509),SC_(0.9365369229858498785790860909202020989164),SC_(0.0634630770141501214209139090797979010836)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(9.0),SC_(0.01430556344702512505400957461643023189953),SC_(0.02185170684715481437694029566249789236978),SC_(0.9781482931528451856230597043375021076302)}},
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+     //{{SC_(48.0),SC_(41.0),SC_(135.0),SC_(33.0),SC_(8.636981288535222466738786964411319271682e-13),SC_(0.999999999999960542990943845719644284854),SC_(3.9457009056154280355715146e-14)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(26.0),SC_(0.1353717947518808788868865115924511455337),SC_(0.3675844037299293748321620979742237536539),SC_(0.6324155962700706251678379020257762463461)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(26.0),SC_(0.1353717947518808788868865115924511455337),SC_(0.3675844037299293748321620979742237536539),SC_(0.6324155962700706251678379020257762463461)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(20.0),SC_(0.002601025216711084794471493458275384237955),SC_(0.003669860896139999028261909741374497034297),SC_(0.9963301391038600009717380902586255029657)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(11.0),SC_(1.93986120352085451724740385260254674247e-10),SC_(2.076207498565016728508626957499799991182e-10),SC_(0.99999999979237925014349832714913730425)}},
+     //{{SC_(90.0),SC_(41.0),SC_(135.0),SC_(41.0),SC_(9.871386192011484832340215364891496674834e-10),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(5.0),SC_(5.265522477647327144962051848320365887239e-19),SC_(5.340712956939061505668577772335340177878e-19),SC_(0.999999999999999999465928704306093849433)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(14.0),SC_(2.096844946871957002598423844522410926464e-7),SC_(2.367952089112490528616878029677703261355e-7),SC_(0.9999997632047910887509471383121970322297)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(17.0),SC_(0.00004767458915445746777441479423811721061273),SC_(0.00005862101992951723721804793182698319474578),SC_(0.9999413789800704827627819520681730168053)}},
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+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(8.0),SC_(3.014074819429380864488976694771446531001e-14),SC_(3.119347726178191980534406891165469850373e-14),SC_(0.999999999999968806522738218080194655931)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(7.0),SC_(8.3970164850884401343928334487887643969e-11),SC_(8.927961958486883651568950241339169425435e-11),SC_(0.999999999910720380415131163484310497587)}},
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+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(5.0),SC_(2.393818102005960349308582656633598143507e-13),SC_(2.482393183146904332230217371930142105031e-13),SC_(0.999999999999751760681685309566776978263)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(15.0),SC_(0.0004844924451188653694926716107374844941183),SC_(0.0006420609332055323751720513070835264424829),SC_(0.9993579390667944676248279486929164735575)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(12.0),SC_(5.112991279710625036105384102461015315585e-6),SC_(6.04695804755021374402590977118762910851e-6),SC_(0.9999939530419524497862559740902288123709)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(34.0),SC_(0.0000794274737684955357674027042641086571524),SC_(0.9999833972366789470789019786949997450291),SC_(0.0000166027633210529210980213050002549709)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(15.0),SC_(0.0004844924451188653694926716107374844941183),SC_(0.0006420609332055323751720513070835264424829),SC_(0.9993579390667944676248279486929164735575)}},
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+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(7.0),SC_(8.3970164850884401343928334487887643969e-11),SC_(8.927961958486883651568950241339169425435e-11),SC_(0.999999999910720380415131163484310497587)}},
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+     //{{SC_(54.0),SC_(41.0),SC_(135.0),SC_(40.0),SC_(3.554068272074300682345953314464372175913e-21),SC_(0.999999999999999999999985017477925612704),SC_(1.4982522074387296e-23)}},
+     {{SC_(309.0),SC_(128.0),SC_(356.0),SC_(116.0),SC_(0.03699807022436664481783952519965912389076),SC_(0.9635080874490526119281455020839353389893),SC_(0.0364919125509473880718544979160646610107)}},
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+     //{{SC_(309.0),SC_(128.0),SC_(356.0),SC_(128.0),SC_(1.173952568854174209634781519975835814629e-10),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(309.0),SC_(128.0),SC_(356.0),SC_(95.0),SC_(2.523134664906021391827654571209586578814e-7),SC_(3.068494487409635672940571726868111070252e-7),SC_(0.9999996931505512590364327059428273131889)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(116.0),SC_(0.05814205100844658174163343144704930895785),SC_(0.1043915443995216378549656982347843287219),SC_(0.8956084556004783621450343017652156712781)}},
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+     //{{SC_(332.0),SC_(128.0),SC_(356.0),SC_(128.0),SC_(0.00001429619718722787470213743464779523575631),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(111.0),SC_(0.0002843459681667381617853471866947621470982),SC_(0.0003493978946605080858095590072982928343876),SC_(0.9996506021053394919141904409927017071656)}},
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+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(104.0),SC_(4.818676800586903535709507078965008419799e-12),SC_(4.818676800586903535709507078965008419799e-12),SC_(0.999999999995181323199413096464290492921)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(127.0),SC_(0.0002142337451666538101705668255513510450897),SC_(0.9999857038028127721252978625653522047642),SC_(0.0000142961971872278747021374346477952358)}},
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+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(15.0),SC_(0.04679452269585690471083072959542901135324),SC_(0.09056570871796626116701178400232098743809),SC_(0.9094342912820337388329882159976790125619)}},
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+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(4.0),SC_(1.096192385183736633136778989136191058979e-8),SC_(1.184869841747716875985070285627706339557e-8),SC_(0.9999999881513015825228312401492971437229)}},
+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(17.0),SC_(0.1094252731548223597804382346862103310545),SC_(0.2765119079022929050668699959419940914525),SC_(0.7234880920977070949331300040580059085475)}},
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+     {{SC_(179.0),SC_(32.0),SC_(356.0),SC_(3.0),SC_(3.638337437777574370502761086672215151575e-7),SC_(3.959182183598657253017729510538745183239e-7),SC_(0.9999996040817816401342746982270489461255)}},
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+     //{{SC_(425.0),SC_(962.0),SC_(973.0),SC_(425.0),SC_(0.001730269182885526599913793807137295644412),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(425.0),SC_(962.0),SC_(973.0),SC_(424.0),SC_(0.01503533165425620233196465808246627720748),SC_(0.9982697308171144734000862061928627043556),SC_(0.0017302691828855265999137938071372956444)}},
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+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(535.0),SC_(0.1895661732555605465573127760069913903602),SC_(0.8361800421215626051684275771149104259661),SC_(0.1638199578784373948315724228850895740339)}},
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+     //{{SC_(540.0),SC_(962.0),SC_(973.0),SC_(540.0),SC_(0.0001262256511272454676003572709234773890586),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(535.0),SC_(0.1895661732555605465573127760069913903602),SC_(0.8361800421215626051684275771149104259661),SC_(0.1638199578784373948315724228850895740339)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(538.0),SC_(0.01126643745784983506727998182414638859487),SC_(0.998101243928788030944820157648023435871),SC_(0.001898756071211969055179842351976564129)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(538.0),SC_(0.01126643745784983506727998182414638859487),SC_(0.998101243928788030944820157648023435871),SC_(0.001898756071211969055179842351976564129)}},
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+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(322.0),SC_(6.983850717054883225806592315521964705242e-21),SC_(0.999999999999999999999173818250410551486),SC_(8.26181749589448514e-22)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(294.0),SC_(0.00008908450711833519340856244713611142471579),SC_(0.9999171648613243361673307688374104919183),SC_(0.0000828351386756638326692311625895080817)}},
+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(315.0),SC_(4.477512056168159048537745352957006933488e-15),SC_(0.999999999999999011103714625815853985649),SC_(9.88896285374184146014351e-16)}},
+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(320.0),SC_(4.669717243593948437260963126450566810095e-19),SC_(0.999999999999999999932590227929891823175),SC_(6.7409772070108176825e-20)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(236.0),SC_(6.727393238319958780368559514417208047046e-11),SC_(9.987409104666421473936613845778962623697e-11),SC_(0.999999999900125908953335785260633861542)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(293.0),SC_(0.0001723748999525510246442102635641830819704),SC_(0.9998280803542060009739222063902743804936),SC_(0.0001719196457939990260777936097256195064)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(240.0),SC_(4.208099135331936814529085955012549745131e-9),SC_(6.631352233586740245027290009470364897932e-9),SC_(0.9999999933686477664132597549727099905296)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(226.0),SC_(2.837277830784060952227181395283153835467e-16),SC_(3.753858052411669554994217970061448093714e-16),SC_(0.999999999999999624614194758833044500578)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(184.0),SC_(1.837052002163276359154130471333208458286e-54),SC_(1.93670704001299800120056217810738417905e-54),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(28.0),SC_(6.793193827561028202902976635003367877227e-75),SC_(7.118636331915467986484970086981805616095e-75),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(53.0),SC_(7.809780788870239982842609746744039778707e-47),SC_(8.790962431354454536711420041061177586564e-47),SC_(1.0)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(320.0),SC_(3.131175927803977169916713432405745219695e-126),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(206.0),SC_(3.60219857522415158547703220100375407042e-12),SC_(0.999999999997753146803152633354062788882),SC_(2.246853196847366645937211118e-12)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(15.0),SC_(4.27439806904807633594722300172024102612e-94),SC_(4.367988093148506690674156367666866626417e-94),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(152.0),SC_(0.04826841874430430687609539751074516400646),SC_(0.3424802704976019616108159408843983798306),SC_(0.6575197295023980383891840591156016201694)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(288.0),SC_(5.01196899862618170032413245887252273368e-77),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(158.0),SC_(0.05093523942943842194436856352296911381224),SC_(0.6577681435125240236827321826001806186743),SC_(0.3422318564874759763172678173998193813257)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(240.0),SC_(5.625853848826174111387936567286920206281e-31),SC_(0.999999999999999999999999999999864966466),SC_(1.35033534e-31)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(307.0),SC_(1.115893441169970912376476440179941658041e-103),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(290.0),SC_(1.006620133234272771163677015430335203943e-130),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(91.0),SC_(0.000249746343620639318300239691547389701761),SC_(0.0006387097424328087819071799019558425578344),SC_(0.9993612902575671912180928200980441574422)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(161.0),SC_(2.626291609603155449015480586249378996646e-10),SC_(0.99999999980295295962658198502303195079),SC_(1.9704704037341801497696804921e-10)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(121.0),SC_(0.03842277275961047991159275112715017088171),SC_(0.8138423545996981671290697197982014986511),SC_(0.1861576454003018328709302802017985013489)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(110.0),SC_(0.04348498418098799613741149657597115317029),SC_(0.2735425234591600571117362990553155570651),SC_(0.7264574765408399428882637009446844429349)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(227.0),SC_(1.88229016834885594756235286696744970181e-51),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(134.0),SC_(0.00194550241359619551975486688720863879117),SC_(0.9959039509551882259961399094904303046884),SC_(0.0040960490448117740038600905095696953116)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(297.0),SC_(3.099170124790288236133811018964458572526e-143),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(315.0),SC_(8.745337833902361187545389118026512656014e-183),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(184.0),SC_(1.307228949356826879223900266059585713681e-20),SC_(0.999999999999999999994796180432579251579),SC_(5.203819567420748421e-21)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(37.0),SC_(3.320625863326094090483393792106638864492e-86),SC_(3.486813684143416952377418163000021290702e-86),SC_(1.0)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(295.0),SC_(8.028270602773348094175158677072201916994e-59),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(217.0),SC_(7.446847405448950069716275639243476085211e-7),SC_(0.9999992151368775059138538229355824721045),SC_(7.848631224940861461770644175278955e-7)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(234.0),SC_(8.655813341764919370257475355332168675631e-13),SC_(0.999999999999492800168053859053519679115),SC_(5.07199831946140946480320885e-13)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(44.0),SC_(2.225193268385278826382154176975169922062e-77),SC_(2.368395859994222444389160292498856150859e-77),SC_(1.0)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(129.0),SC_(2.38378427332930781600974503246401822634e-12),SC_(3.934973888947151527521600631524818827246e-12),SC_(0.999999999996065026111052848472478399368)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(107.0),SC_(5.883202459583277063909486057329520787237e-23),SC_(7.99788786613398647632239208434936393405e-23),SC_(0.999999999999999999999920021121338660135)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(291.0),SC_(3.387447252601386063089573439124401793154e-54),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(303.0),SC_(3.436705085016389481492195392327629935159e-69),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(232.0),SC_(5.823171654984571450723327045719220660975e-12),SC_(0.999999999996359036982781341520668192317),SC_(3.640963017218658479331807683e-12)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(10.0),SC_(7.014731528920930361951810768762429681404e-57),SC_(7.215660108865651017830678595247908240443e-57),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(21.0),SC_(2.887208079689564214747175904058519741897e-42),SC_(3.0923605955326645813810452988173375984e-42),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(20.0),SC_(1.92340807552262283205625921172736368573e-43),SC_(2.051525158431003666338693947588178565032e-43),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(66.0),SC_(1.510579165415947337341767267500824992875e-8),SC_(2.407486958664755543046601156111483971513e-8),SC_(0.9999999759251304133524445695339884388852)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(115.0),SC_(0.0006608966357000263070197349769408621428164),SC_(0.9992317108820617655465532119624578489362),SC_(0.0007682891179382344534467880375421510638)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(1.0),SC_(1.758547036970495437785096784555337943894e-73),SC_(1.76298878766787314424996140415173293321e-73),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(101.0),SC_(0.0611596896401622665249392682773787940425),SC_(0.7356135902796048313964729794636385680193),SC_(0.2643864097203951686035270205363614319807)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(110.0),SC_(0.00711037858146964825555095885784703561601),SC_(0.9877367207638833770260247624792821273585),SC_(0.0122632792361166229739752375207178726415)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(0.0),SC_(4.441750697377706464864619596394989315789e-76),SC_(4.441750697377706464864619596394989315789e-76),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(48.0),SC_(3.336274865105840654390318803892947594077e-18),SC_(4.231951398640858500408212031832569592048e-18),SC_(0.999999999999999995768048601359141499592)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(23.0),SC_(1.256916204055012846327346469934583088434e-86),SC_(1.280543104857283708622078393598734379004e-86),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(11.0),SC_(1.746441258293646773567310499714837545838e-109),SC_(1.758881956444457902473727074497955667871e-109),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(156.0),SC_(3.911317894313098707233226403260859259024e-15),SC_(0.999999999999999914224101648539639734948),SC_(8.5775898351460360265052e-17)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(49.0),SC_(2.903655345315729957508557380199650891209e-49),SC_(3.097571274031110857392766478316885711407e-49),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(146.0),SC_(1.966253266445107381180160844299205213212e-6),SC_(0.9999992988002280865167638533917395359396),SC_(7.011997719134832361466082604640604e-7)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(120.0),SC_(0.03419666194773366390271416862729435096174),SC_(0.1100591220477970962195724476748588700464),SC_(0.8899408779522029037804275523251411299536)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(84.0),SC_(7.531982350445872263147888523308276049073e-17),SC_(9.506181734656504965593219627111945819999e-17),SC_(0.999999999999999904938182653434950344068)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(144.0),SC_(0.00001981485176354782268456402679318085722013),SC_(0.9999907950124211715622293660375036107191),SC_(9.2049875788284377706339624963892809e-6)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(108.0),SC_(0.00007133191038860805379624854022655094047227),SC_(0.0001312867330986177479712388439732547077734),SC_(0.9998687132669013822520287611560267452922)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(3.0),SC_(2.005087090102681754797772599049082315503e-128),SC_(2.008411383539907780338312125871301296826e-128),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(354.0),SC_(7.903260705042764488301445082606473361127e-173),SC_(8.417880629333124464958707448513829976282e-173),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(525.0),SC_(2.162810631124519549340581709730147751517e-30),SC_(3.209393798589136518333848434941341569445e-30),SC_(0.999999999999999999999999999996790606201)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(663.0),SC_(0.001447152885700053794735373991082805537555),SC_(0.9961287857259508667199771183279835477078),SC_(0.0038712142740491332800228816720164522922)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(384.0),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(457.0),SC_(2.028627530496037837927999765314022991323e-72),SC_(2.458531324056423604246901969344101625399e-72),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(332.0),SC_(1.039890390494686469133943817352555412314e-200),SC_(1.091134024815476999807915065508065049447e-200),SC_(1.0)}},
+     //{{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(723.0),SC_(9.584044850067058477290355360579073950829e-22),SC_(0.999999999999999999999587791549423554272),SC_(4.12208450576445728e-22)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(235.0),SC_(5.287293166825105514181323250483161211397e-360),SC_(5.3343535872986423431564523183866543041e-360),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(367.0),SC_(1.669523421668577782334312791674566033975e-157),SC_(1.796733056974522462455948368840646736733e-157),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(384.0),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1.0)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1812.0),SC_(2.076831972632489091686388421038171046837e-6),SC_(5.354493333876393887982629292665925446059e-6),SC_(0.9999946455066661236061120173707073340746)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1848.0),SC_(0.03043400366814929190463430046897554723115),SC_(0.2426930943591920127852170607127364214983),SC_(0.7573069056408079872147829392872635785017)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1692.0),SC_(1.612952941179119319800540847339295957404e-84),SC_(1.65445368566756829784568201999579763927e-84),SC_(1.0)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1762.0),SC_(1.477889118594974267435908555057207374771e-23),SC_(2.147014310066440005194093427131433710863e-23),SC_(0.9999999999999999999999785298568993356)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2206.0),SC_(1.413250104820905541938131192149992173614e-253),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2207.0),SC_(3.743653749455626400814053262752372357763e-255),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2276.0),SC_(3.355132738483096581505327776882771453977e-391),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2073.0),SC_(2.568226642878234234731469207214275586921e-96),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2120.0),SC_(1.300039280970278491399563360418008519226e-141),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1870.0),SC_(0.0137996710604292526669597574510970453016),SC_(0.9332289351942023401992097275568239112338),SC_(0.0667710648057976598007902724431760887662)}},
+     {{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2153.0),SC_(0.0007602068090348631169150843040670180316801),SC_(0.00221724930017410584273440242818094113795),SC_(0.9977827506998258941572655975718190588621)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2275.0),SC_(2.389273478584848197542682700197857941686e-30),SC_(0.999999999999999999999999999999056225002),SC_(9.43774998e-31)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2311.0),SC_(4.496875877106921733455038361783686733759e-53),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2481.0),SC_(5.427452315078316521316606761519937268639e-252),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2523.0),SC_(3.28760233821461751336472689613619049464e-332),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2361.0),SC_(3.921679538081295786093131327204110370691e-95),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2158.0),SC_(0.004023946386086623057595170070984435297238),SC_(0.01407047793206240235127460830155934874536),SC_(0.9859295220679375976487253916984406512546)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2444.0),SC_(5.297510662712953060252841619712357096826e-194),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2226.0),SC_(1.024254921782787513607818489358590331848e-9),SC_(0.999999998983989155511863183091944810876),SC_(1.016010844488136816908055189124e-9)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2355.0),SC_(1.978929781286286216878147108631004914241e-89),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(420.0),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(517.0),SC_(1.035415089580412942515641975689141390427e-12),SC_(2.039063402388744610887027882654444741063e-12),SC_(0.999999999997960936597611255389112972117)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(611.0),SC_(0.0009740308940664704470710407807024893489785),SC_(0.9975545460464081603943666566696536662421),SC_(0.0024454539535918396056333433303463337579)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(279.0),SC_(1.595304181815312276176972504209173730097e-199),SC_(1.678177738130090668227067442053093761348e-199),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(420.0),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(504.0),SC_(5.550807487053911812822058829445386689796e-17),SC_(9.849409209415822224424654722895977955379e-17),SC_(0.999999999999999901505907905841777755753)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(372.0),SC_(1.605546354870612178740781050646539186862e-98),SC_(1.845937605823900204504036820035159735218e-98),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(571.0),SC_(0.01343296248841276379815843094254576483911),SC_(0.07353198708249211486109185562092974993258),SC_(0.9264680129175078851389081443790702500674)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(368.0),SC_(4.384983235539954445467700700515092170797e-102),SC_(5.013351380094734022335274851001595308115e-102),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(158.0),SC_(6.235660560187736802444553036433270953835e-402),SC_(6.280258997482568173440303376158993204012e-402),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(70.0),SC_(2.075900101560929841792553796613471100774e-17),SC_(2.460459266799689492021057206125120932409e-17),SC_(0.999999999999999975395407332003105079789)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(31.0),SC_(9.871285170348988309256098933733531664211e-61),SC_(1.02277976167625044026478937816407960646e-60),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(63.0),SC_(2.267197108749237594778606213605575779119e-23),SC_(2.578750935327152372426021552106352357734e-23),SC_(0.999999999999999999999974212490646728476)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(42.0),SC_(6.007346576998807709658897241840197510143e-46),SC_(6.360318241570135121802589412647726196011e-46),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(106.0),SC_(0.1116804690473795095104669373988381764272),SC_(0.7584676353906888096439200728313197090907),SC_(0.2415323646093111903560799271686802909093)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(100.0),SC_(0.0503742119970223819663542994283390181172),SC_(0.1287616578083579316935823220930883355539),SC_(0.8712383421916420683064176779069116644461)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(8.0),SC_(1.136161661575578777389109430583966945594e-100),SC_(1.143856400465436699424699529942978060397e-100),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(39.0),SC_(9.175753504734590818744774120376180805312e-50),SC_(9.650802483228010632797337380631125909948e-50),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(38.0),SC_(4.526030374578030397726435764033594085953e-51),SC_(4.750489784934198140525632602549451046364e-51),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(19.0),SC_(1.14288295995607625399252341664345765015e-79),SC_(1.164114085538017085528413782178340874898e-79),SC_(1.0)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2706.0),SC_(1.301464585707490814792535362994737105742e-71),SC_(1.48066685396468895689159213319649073755e-71),SC_(1.0)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3014.0),SC_(2.778928853125489940813034129923433306267e-30),SC_(0.999999999999999999999999999998477829012),SC_(1.522170988e-30)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2775.0),SC_(2.980705983079855228190799398729048352087e-26),SC_(4.568054515761335768661592313440449747617e-26),SC_(0.999999999999999999999999954319454842387)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3004.0),SC_(5.378089066435558496049070834586693555302e-26),SC_(0.999999999999999999999999966307286850134),SC_(3.3692713149866e-26)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2769.0),SC_(4.575321018475226387137075375185371548035e-29),SC_(6.770307181230632452986350148326352876378e-29),SC_(0.999999999999999999999999999932296928188)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2964.0),SC_(1.832217460276038557251397001240443135099e-12),SC_(0.999999999997907478272135988382633698282),SC_(2.092521727864011617366301718e-12)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2863.0),SC_(0.003192814456943264796090309312301672830727),SC_(0.01529732399678425733294970091036265409296),SC_(0.984702676003215742667050299089637345907)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2925.0),SC_(0.0001126567239667587485681805535995818729655),SC_(0.9997091506136263206825603745115894853285),SC_(0.0002908493863736793174396254884105146715)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2978.0),SC_(1.493072631611316664630886611666164517391e-16),SC_(0.999999999999999863933229779127230838208),SC_(1.36066770220872769161792e-16)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3135.0),SC_(1.364144802642130452748715021650473092386e-115),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(59.0),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(34.0),SC_(2.291834910217138046227257852037994292793e-9),SC_(2.826079121524902134800638171700742220719e-9),SC_(0.9999999971739208784750978651993618282993)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(20.0),SC_(5.589240186641653949455334785805795497732e-22),SC_(6.041538257297753020668486984071999814492e-22),SC_(0.999999999999999999999395846174270224698)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(38.0),SC_(8.869462684596912381586295236545550772373e-7),SC_(1.172966728086824690764634534551048866175e-6),SC_(0.9999988270332719131753092353654654489511)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(51.0),SC_(0.08430051884656719121900050667329876824698),SC_(0.2161351933502864992680720821496335588975),SC_(0.7838648066497135007319279178503664411025)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(28.0),SC_(4.353757770671806099525426427856956157503e-14),SC_(4.999772155653313226775586682549807872326e-14),SC_(0.999999999999950002278443466867732244133)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(59.0),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(54.0),SC_(0.1419850808354917019613239285390612426154),SC_(0.6036890800491267250430218325034504954109),SC_(0.3963109199508732749569781674965495045891)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(3.0),SC_(7.136954483641043093561093598618884335191e-47),SC_(7.193910796612041799520506176766000163643e-47),SC_(1.0)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(36.0),SC_(5.137428541711846166022551383288380953976e-8),SC_(6.540826512244440138867446454619929204767e-8),SC_(0.9999999345917348775555986113255354538007)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(55.0),SC_(0.07515584769838484415224427111536446726427),SC_(0.9064496805743194682928292408977067592803),SC_(0.0935503194256805317071707591022932407197)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(36.0),SC_(3.006028587230163412087950484735104776256e-6),SC_(4.134445889095858247521380401532958569624e-6),SC_(0.9999958655541109041417524786195984670414)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(7.0),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(61.0),SC_(0.0003058214478756612288237352875129947033387),SC_(0.9999528980850807036913573016612812428566),SC_(0.0000471019149192963086426983387187571434)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(30.0),SC_(5.434404923577365920603519544002198527592e-10),SC_(6.688363101915135304240265747428239721706e-10),SC_(0.999999999331163689808486469575973425257)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(1.0),SC_(1.107542894346697539367034550776316964086e-45),SC_(1.111193352974940834453276796961305989348e-45),SC_(1.0)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(52.0),SC_(0.1308264751086438221424092026318742903987),SC_(0.6067495681363828513659178756682145346319),SC_(0.3932504318636171486340821243317854653681)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(3.0),SC_(1.612844731098380416414479224652978509006e-41),SC_(1.629469137307708933371779117639634427735e-41),SC_(1.0)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(7.0),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(31.0),SC_(2.681268904938900886084410840737050460789e-9),SC_(3.35010521513041441650843741547987443296e-9),SC_(0.9999999966498947848695855834915625845201)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(1006.0),SC_(6.339234104612103924818478600804223240535e-190),SC_(9.381728684405531114969361200221656280534e-190),SC_(1.0)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3075.0),SC_(3.677152045501920304167491485472390252599e-444),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(1930.0),SC_(7.021619514016001433795351034994363459872e-7),SC_(0.9999961074340315071158318618094539709261),SC_(3.8925659684928841681381905460290739e-6)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3670.0),SC_(3.023889360679502938528761389063297095916e-974),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3396.0),SC_(1.518102375990395835193698956978291603351e-701),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(4252.0),SC_(3.59537869952930700205997971685748921757e-1747),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(2892.0),SC_(3.296953405682328274817830825632043002187e-325),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(4634.0),SC_(2.939967325749253243319695099153624196492e-2452),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(566.0),SC_(9.658759281646508651392504855467279628581e-481),SC_(1.121789646189748754673629264448480612184e-480),SC_(1.0)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(578.0),SC_(1.539338296002620482584150731931745370605e-470),SC_(1.796125390374408977243663785953386517648e-470),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3478.0),SC_(1.006405922085765327249426805877543752218e-434),SC_(1.189508163301917338844808154550173850989e-434),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3102.0),SC_(1.801588237261977931271087511792575138713e-806),SC_(1.926905984951753467315647688105897884209e-806),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(4836.0),SC_(1.279500290415770784796394928901921281391e-30),SC_(0.999999999999999999999999999997992139054),SC_(2.007860946e-30)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5672.0),SC_(8.211075716556983834494281939126325961014e-631),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(2739.0),SC_(7.942740543104711231249902212637227645973e-1338),SC_(8.056526098952320234215083963959077928992e-1338),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5691.0),SC_(2.469075354107191191986179778263512079e-668),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(2722.0),SC_(9.779333008745284830383984850117446014205e-1370),SC_(9.901538457186077459455392963727220943833e-1370),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3463.0),SC_(5.30615834698657866630857578903211416722e-447),SC_(6.238314045857898958032074360456653750184e-447),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3065.0),SC_(3.401470422855740308061231647970018418367e-851),SC_(3.613018073107107137747060327519176948069e-851),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5669.0),SC_(2.357007720699358431877989506299284244468e-625),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3263.0),SC_(4.435321459779290899993711683502778935079e-45),SC_(9.740316269301809627744830862498348157159e-45),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2797.0),SC_(1.633335582290992118308319188940666290148e-251),SC_(2.142953554897797330733201509747662022608e-251),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2691.0),SC_(5.495849840533559961957052425968731722353e-322),SC_(6.836845529230566706607480161453931176945e-322),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2431.0),SC_(1.993828118934155932497960035027714551599e-533),SC_(2.263920531776472531722580833266889159382e-533),SC_(1.0)}},
+     //{{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(4311.0),SC_(1.179187250020158315490073292121582351995e-305),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2326.0),SC_(3.299330524432867192121564820200580059945e-635),SC_(3.650095231694719949668862317327622630577e-635),SC_(1.0)}},
+     //{{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3779.0),SC_(2.811813909295360559735426635527205346905e-20),SC_(0.999999999999999999947768931875694491675),SC_(5.2231068124305508325e-20)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2273.0),SC_(2.121966223891087340540365503793597463055e-690),SC_(2.320974324298723210214732910188800714753e-690),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(1704.0),SC_(4.26047773610794944627559108769983951047e-1481),SC_(4.328185563225618905397135819823042898001e-1481),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3187.0),SC_(2.702643231114555571113233202034373770661e-67),SC_(5.150995278963108588055631364450502244211e-67),SC_(1.0)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8946.0),SC_(1.703165566721353814922501297682510774634e-56),SC_(3.075137845246061197300125409500262963551e-56),SC_(1.0)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10716.0),SC_(4.143757744937962174939769535710512245796e-865),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(11146.0),SC_(3.445253481408347317737434293597176336291e-1499),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10556.0),SC_(1.244863949482443666518124566788365799282e-682),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10713.0),SC_(1.872268680237180672431400271923629604662e-861),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(11404.0),SC_(2.623521946917958826310697056679792248359e-2035),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8611.0),SC_(5.902950421727860032307027070001849738945e-266),SC_(6.527272372809071671043471044598854410339e-266),SC_(1.0)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(9382.0),SC_(8.350769503138113607048006351288674200386e-8),SC_(0.9999996811470715898090812142957207291651),SC_(3.188529284101909187857042792708349e-7)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10093.0),SC_(1.525454564673778577778516320623498508002e-283),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8616.0),SC_(6.463719063528862326901595813952505767646e-261),SC_(7.180069731161748312282673058422249863972e-261),SC_(1.0)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(2123.0),SC_(1.051598000012254716392485236070905585228e-268),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1391.0),SC_(6.397691613869390399471557572785519528862e-23),SC_(0.999999999999999999999847139456387039014),SC_(1.52860543612960986e-22)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(802.0),SC_(9.63468927291374065983956254885634959026e-36),SC_(2.470316012686340183657552031377716990407e-35),SC_(0.999999999999999999999999999999999975297)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1822.0),SC_(1.14085183245777964221003544061732820553e-135),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1909.0),SC_(1.206331285434620553935142382532461215726e-169),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(2836.0),SC_(1.705760756379935137738292356686227831161e-756),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(4456.0),SC_(1.711211733109732363933699044037411967215e-2965),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1920.0),SC_(3.348573725136031902872466248413502832256e-174),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(999.0),SC_(2.138122084622344367578512770528568747903e-7),SC_(1.25417155689383511127926419540770446068e-6),SC_(0.9999987458284431061648887207358045922955)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(874.0),SC_(2.821590510628816486988008063151194817168e-22),SC_(9.004100327904705235159583716808495439711e-22),SC_(0.999999999999999999999099589967209529476)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(2191.0),SC_(2.413371615050103770980626165031023930979e-368),SC_(3.556509829562483740914436969008727592467e-368),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(1005.0),SC_(9.894980874153372595761820694699023799935e-1236),SC_(1.096258863414571957167577684620602424505e-1235),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(2746.0),SC_(4.118337082904282114829472199943034115996e-148),SC_(8.174104688972092189023381983494630349758e-148),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(3194.0),SC_(3.183471994948445071033289373223870925742e-44),SC_(1.024132845469072232573725203929695789012e-43),SC_(1.0)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(7300.0),SC_(6.77164027932829532370109212260862859305e-2502),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(6833.0),SC_(4.1396195968933323171054600327897582287e-1727),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(219.0),SC_(1.881993729177212164637026875271803426257e-2271),SC_(1.913288470864454992848774406953287553205e-2271),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(1946.0),SC_(6.059304806185264237722374088214508359474e-500),SC_(8.202297432646816246455573369592948373176e-500),SC_(1.0)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(4530.0),SC_(4.852465934382930186442067232117977677403e-107),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(5431.0),SC_(6.278064131566577219092533432665204627255e-475),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23921.0),SC_(5.01571344812621193474425641386483940301e-149),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23731.0),SC_(3.894076550564398247369316726697188054062e-29),SC_(0.999999999999999999999999999973526541057),SC_(2.6473458943e-29)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23948.0),SC_(9.022982528814208465718080395862041827201e-174),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23785.0),SC_(6.501467887055533489989990433122758223866e-54),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(24127.0),SC_(1.211500213651858537165259088551713152938e-408),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23574.0),SC_(0.002023261955389159984206469053893655644769),SC_(0.008763296757879097076121904722363852118327),SC_(0.9912367032421209029238780952776361478817)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(24103.0),SC_(1.502246684732592841317797329598945415434e-366),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23909.0),SC_(1.089392278845805508791127031194856769452e-138),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23557.0),SC_(9.957825121836800401583387727523356183938e-6),SC_(0.00002883229031890871323816650314839586412251),SC_(0.9999711677096810912867618334968516041359)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23936.0),SC_(1.630337789888062205675224945299028404172e-162),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10705.0),SC_(4.214045751475557604377397079532975048913e-35),SC_(0.999999999999999999999999999999999980825),SC_(1.9175e-35)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10582.0),SC_(0.006534800831460427393593310723134559529149),SC_(0.9658894847256837655400445750384213508154),SC_(0.0341105152743162344599554249615786491846)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10101.0),SC_(5.964481460925906600293895095971574740803e-313),SC_(6.002643903347307383282629300548537979569e-313),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10521.0),SC_(0.0003201276134018164345968425589560100704715),SC_(0.001414856594141071402937765727589764302753),SC_(0.9985851434058589285970622342724102356972)}},
+     //{{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10794.0),SC_(1.798503936868023925360898291540942571343e-107),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10167.0),SC_(2.21474798565952254789052561462298471985e-210),SC_(2.353519890373409235647877343002777258109e-210),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10226.0),SC_(1.723644214696431707714898254406246310588e-147),SC_(1.951895832131084667079719129033853235618e-147),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10176.0),SC_(1.32687759331156231792363873935966188326e-199),SC_(1.422254878584869415443690163035370486592e-199),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10264.0),SC_(6.680128539884872883498465278631658091013e-115),SC_(7.965521820715383925417088201148941207152e-115),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10443.0),SC_(7.641514565676484825234423253217707077378e-20),SC_(1.528376558915782740567832769458233142503e-19),SC_(0.999999999999999999847162344108421725943)}}
+  }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/hypot_test.cpp b/src/boost/libs/math/test/hypot_test.cpp
new file mode 100644
index 00000000..7a8c5ddb
--- /dev/null
+++ b/src/boost/libs/math/test/hypot_test.cpp
@@ -0,0 +1,130 @@
+//  (C) Copyright John Maddock 2005.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN 
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+
+#include <cmath>
+
+#ifdef BOOST_NO_STDC_NAMESPACE
+namespace std{ using ::sqrt; }
+#endif
+
+//
+// test_boundaries:
+// This is an accuracy test, sets the two arguments to hypot to just
+// above or just below various boundary conditions, and checks the accuracy
+// of the result.  The values computed at double precision will use a 
+// different computation method to those computed at float precision:
+// as long as these compute the same values then everything's OK.
+//
+// Tolerance is 2*epsilon, expressed here as a persentage:
+//
+static const float tolerance = 200 * (std::numeric_limits<float>::epsilon)();
+const float boundaries[] = {
+   0,
+   1,
+   2,
+   (std::numeric_limits<float>::max)()/2,
+   (std::numeric_limits<float>::min)(),
+   std::numeric_limits<float>::epsilon(),
+   std::sqrt((std::numeric_limits<float>::max)()) / 2,
+   std::sqrt((std::numeric_limits<float>::min)()),
+   std::sqrt((std::numeric_limits<float>::max)()) / 4,
+   std::sqrt((std::numeric_limits<float>::min)()) * 2,
+};
+
+void do_test_boundaries(float x, float y)
+{
+   float expected = static_cast<float>((boost::math::hypot)(
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      static_cast<long double>(x), 
+      static_cast<long double>(y)));
+#else
+      static_cast<double>(x), 
+      static_cast<double>(y)));
+#endif
+   float found = (boost::math::hypot)(x, y);
+   BOOST_CHECK_CLOSE(expected, found, tolerance);
+}
+
+void test_boundaries(float x, float y)
+{
+   do_test_boundaries(x, y);
+   do_test_boundaries(-x, y); 
+   do_test_boundaries(-x, -y);
+   do_test_boundaries(x, -y);
+}
+
+void test_boundaries(float x)
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(x, boundaries[i]);
+      test_boundaries(x, boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(x, boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_boundaries()
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(boundaries[i]);
+      test_boundaries(boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_spots()
+{
+   static const float zero = 0;
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], zero), std::fabs(boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], zero), std::fabs(-boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], -zero), std::fabs(boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -zero), std::fabs(-boundaries[i]));
+      for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
+      {
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[j], boundaries[i]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[i], -boundaries[j]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[j], -boundaries[i]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[i], boundaries[j]));
+      }
+   }
+   if((std::numeric_limits<float>::has_infinity) && (std::numeric_limits<float>::has_quiet_NaN))
+   {
+      static const float nan = std::numeric_limits<float>::quiet_NaN();
+      static const float inf = std::numeric_limits<float>::infinity();
+      BOOST_CHECK_EQUAL(boost::math::hypot(inf, nan), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(-inf, nan), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(nan, inf), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(nan, -inf), inf);
+      for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
+      {
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(inf, boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(inf, -boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], -inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], -inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-inf, boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-inf, -boundaries[j]), inf);
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_boundaries();
+   test_spots();
+}
diff --git a/src/boost/libs/math/test/ibeta_data.ipp b/src/boost/libs/math/test/ibeta_data.ipp
new file mode 100644
index 00000000..5a0bc54f
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 500> ibeta_data = { {
+      {{ SC_(0.115105740725994110107421875), SC_(27.2666988372802734375), SC_(0.913345992565155029296875), SC_(5.624704191155661855917495760118550518449), SC_(0.4314397017151442751805333868688125395477e-30), SC_(0.9999999999999999999999999999999232955748), SC_(0.7670442516666816870156810539487652961219e-31) }}, 
+      {{ SC_(0.4634225666522979736328125), SC_(3.4317314624786376953125), SC_(0.24176712334156036376953125), SC_(0.9303555938707241359170267278058957882937), SC_(0.1886421251845313169553337074104181129545), SC_(0.8314186687138222136543152962911694480678), SC_(0.1685813312861777863456847037088305519322) }}, 
+      {{ SC_(0.671531736850738525390625), SC_(23.0631923675537109375), SC_(0.908442795276641845703125), SC_(0.1643292146089890181565750406388380802073), SC_(0.5052411887003343404176234528376913340103e-25), SC_(0.9999999999999999999999996925432949323565), SC_(0.3074567050676435237921994231096931905187e-24) }}, 
+      {{ SC_(1.190207004547119140625), SC_(72.69547271728515625), SC_(0.19963125884532928466796875), SC_(0.00559660970823449190019737902600132825008), SC_(0.9534862442725159579596623739736284684983e-9), SC_(0.9999998296314855714196326655015050202504), SC_(0.170368514428580367334498494979749619704e-6) }}, 
+      {{ SC_(1.54034411907196044921875), SC_(40.498138427734375), SC_(0.3462987840175628662109375), SC_(0.002938208699935392440146870722865374716805), SC_(0.4756199818667749603935341902256155409499e-9), SC_(0.9999998381258945674369009890750742808727), SC_(0.1618741054325630990109249257191272986861e-6) }}, 
+      {{ SC_(1.54871237277984619140625), SC_(81.61170196533203125), SC_(0.678767263889312744140625), SC_(0.0009678001476208569653032183047916640238319), SC_(0.559750588331056488014869497117437903989e-42), SC_(0.9999999999999999999999999999999999999994), SC_(0.5783741506002983362466276981258467292731e-39) }}, 
+      {{ SC_(2.251259326934814453125), SC_(4.89832019805908203125), SC_(0.79967319965362548828125), SC_(0.02442974530836840837734643304711539009959), SC_(0.6178004958231200706879909723189065523108e-4), SC_(0.9974774927784456570206007053676991220858), SC_(0.002522507221554342979399294632300877914206) }}, 
+      {{ SC_(2.8674151897430419921875), SC_(59.60579681396484375), SC_(0.575251102447509765625), SC_(0.1379388062890870134560096364710423528806e-4), SC_(0.4175062181357307894530268550925291936655e-24), SC_(0.9999999999999999999697325046252222304163), SC_(0.3026749537477776958367907987526182267324e-19) }}, 
+      {{ SC_(2.922028064727783203125), SC_(26.592067718505859375), SC_(0.4733414947986602783203125), SC_(0.000115508766121651474024307828538813831237), SC_(0.3796145990560169217472146784816274010906e-9), SC_(0.9999967135537481783877208030551367243803), SC_(0.3286446251821612279196944863275619723855e-5) }}, 
+      {{ SC_(3.0540943145751953125), SC_(42.39783477783203125), SC_(0.546926796436309814453125), SC_(0.2096012544527507305106729688625599112948e-4), SC_(0.1877791782437026107953033098682180353671e-16), SC_(0.9999999999991041123359027203750870846506), SC_(0.8958876640972796249129153494479842438984e-12) }}, 
+      {{ SC_(3.183284282684326171875), SC_(31.6550426483154296875), SC_(0.077649272978305816650390625), SC_(0.1607872346465483285868910326819359030108e-4), SC_(0.1977878368269834064074165442158816223284e-4), SC_(0.4484060589761797174626811812282881431733), SC_(0.5515939410238202825373188187717118568267) }}, 
+      {{ SC_(3.2600824832916259765625), SC_(6.254324436187744140625), SC_(0.743158161640167236328125), SC_(0.003877690538964813730515800489545485233393), SC_(0.1849121735270227071877446919569946133643e-4), SC_(0.9952540157237994764714787832333762033991), SC_(0.004745984276200523528521216766623796600881) }}, 
+      {{ SC_(3.360383510589599609375), SC_(52.89206695556640625), SC_(0.81474220752716064453125), SC_(0.4293999091288321831907350544825170972342e-5), SC_(0.219834444785251736057188895022180823046e-40), SC_(0.9999999999999999999999999999999999948804), SC_(0.5119573621504776597210994477995646618901e-35) }}, 
+      {{ SC_(3.4446079730987548828125), SC_(66.3605499267578125), SC_(0.096544884145259857177734375), SC_(0.1474102736157956762304488717716147895171e-5), SC_(0.8307589573110103561152668922877179107493e-7), SC_(0.9466497330301024630866270516938583276551), SC_(0.05335026696989753691337294830614167234487) }}, 
+      {{ SC_(3.57116794586181640625), SC_(36.129398345947265625), SC_(0.046266771852970123291015625), SC_(0.1377307832566030389205420277524302194542e-5), SC_(0.7311615977995211503865956731396528899981e-5), SC_(0.1585130520872948273412729049865238748685), SC_(0.8414869479127051726587270950134761251315) }}, 
+      {{ SC_(3.5762732028961181640625), SC_(80.64510345458984375), SC_(0.92886126041412353515625), SC_(0.5195049488417132478527686360715001708256e-6), SC_(0.2753515092058996575690963489155893940797e-94), SC_(1.0), SC_(0.530026729908584311094876547172139505977e-88) }}, 
+      {{ SC_(3.7738864421844482421875), SC_(88.39685821533203125), SC_(0.50323975086212158203125), SC_(0.1936358080461588466938455069456644840687e-6), SC_(0.2398889407764917341676367096721572497995e-29), SC_(0.9999999999999999999999876113337095529831), SC_(0.1238866629044701687424663630369236796346e-22) }}, 
+      {{ SC_(4.24311351776123046875), SC_(87.180511474609375), SC_(0.594544112682342529296875), SC_(0.4437344750551262251613273178405984994839e-7), SC_(0.1440454807297923187241336158457814894158e-36), SC_(0.9999999999999999999999999999967537910884), SC_(0.3246208911577068569804118543592340399042e-29) }}, 
+      {{ SC_(4.302380084991455078125), SC_(90.84336090087890625), SC_(0.3500487506389617919921875), SC_(0.3088652285368942607072200051700648121738e-7), SC_(0.3690261013058404601783388874804478116026e-20), SC_(0.9999999999998805219664725983124099139968), SC_(0.1194780335274016875900860032189749548454e-12) }}, 
+      {{ SC_(4.61713886260986328125), SC_(14.9113979339599609375), SC_(0.081217654049396514892578125), SC_(0.7777055873291569797054048770916368511548e-6), SC_(0.3050394533002200879235444490511467363605e-4), SC_(0.02486139844038035518263312395393841283781), SC_(0.9751386015596196448173668760460615871622) }}, 
+      {{ SC_(4.965442657470703125), SC_(82.34554290771484375), SC_(0.3013162314891815185546875), SC_(0.6232388896113233687607109871883895899506e-8), SC_(0.1757129987256299654131721919929978230207e-16), SC_(0.9999999971806477233823653568856711213164), SC_(0.2819352276617634643114328878683629953111e-8) }}, 
+      {{ SC_(5.26769924163818359375), SC_(94.65772247314453125), SC_(0.695263326168060302734375), SC_(0.1253627465271932390249428025335036505934e-8), SC_(0.3222623306430773933281977469822481222259e-51), SC_(1.0), SC_(0.2570638722989156911038000229513107483269e-42) }}, 
+      {{ SC_(5.39501190185546875), SC_(35.276241302490234375), SC_(0.184897840023040771484375), SC_(0.1209301166284995442719813406613075674954e-6), SC_(0.2280352502477099546779864717478435018705e-7), SC_(0.8413487283667377937115292338183332209645), SC_(0.1586512716332622062884707661816667790355) }}, 
+      {{ SC_(5.961885929107666015625), SC_(95.24720001220703125), SC_(0.587086021900177001953125), SC_(0.1538572075523752828118796821074440813526e-9), SC_(0.2000258675867804464202225099585025891472e-39), SC_(0.9999999999999999999999999999986999252699), SC_(0.1300074730127210093509800162113431715462e-29) }}, 
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+      {{ SC_(95.02220916748046875), SC_(49.05890655517578125), SC_(0.095445640385150909423828125), SC_(0.1014296591921831167485134416924426771213e-100), SC_(0.3255049410331931492209518274123644776711e-40), SC_(0.3116071260553918747274711046692546109596e-60), SC_(1.0) }}, 
+      {{ SC_(95.16304779052734375), SC_(87.8050537109375), SC_(0.68924558162689208984375), SC_(0.3591386390171570330217034323842412396658e-55), SC_(0.3500715414450358091351879835688815561025e-61), SC_(0.9999990252477395079575524827693321958401), SC_(0.974752260492042447517230667804159929911e-6) }}, 
+      {{ SC_(95.61345672607421875), SC_(65.196868896484375), SC_(0.3377856314182281494140625), SC_(0.4333859722014505980501156640750924994333e-58), SC_(0.2842452980133411144067320657040665393916e-47), SC_(0.1524690030842662316266754200421873949762e-10), SC_(0.9999999999847530996915733768373324579958) }}, 
+      {{ SC_(95.71669769287109375), SC_(10.986175537109375), SC_(0.0333652384579181671142578125), SC_(0.3372800085083612728245814732509161788213e-143), SC_(0.3482559491895011198520376372913856125954e-15), SC_(0.9684831208004220966663378958012853318006e-128), SC_(1.0) }}, 
+      {{ SC_(95.7506866455078125), SC_(99.6461334228515625), SC_(0.01787211932241916656494140625), SC_(0.7925981877666200622765224435998813190314e-170), SC_(0.5647605029015430138123291624587681412693e-59), SC_(0.140342354625460930114931308563781999924e-110), SC_(1.0) }}, 
+      {{ SC_(95.7693939208984375), SC_(72.4906005859375), SC_(0.872441589832305908203125), SC_(0.4388142633049923644259492345034689476008e-50), SC_(0.6107180919399320674461648364002632421015e-72), SC_(0.9999999999999999999998608253780676540823), SC_(0.1391746219323459176926850046732349646854e-21) }}, 
+      {{ SC_(95.92913818359375), SC_(58.095668792724609375), SC_(0.1387105882167816162109375), SC_(0.1152963776753726723714207279128040302867e-87), SC_(0.1964676344164222838212765957522296319386e-44), SC_(0.5868466733355003420468381699190122888759e-43), SC_(1.0) }}, 
+      {{ SC_(95.94924163818359375), SC_(50.36627197265625), SC_(0.043119497597217559814453125), SC_(0.1205105244843612170118997464853132481334e-133), SC_(0.5379464386572334970803452281919284791023e-41), SC_(0.2240195599866172144586170468512280290734e-92), SC_(1.0) }}, 
+      {{ SC_(95.974395751953125), SC_(57.37546539306640625), SC_(0.12707412242889404296875), SC_(0.5509848073830600725513709899102562059558e-91), SC_(0.3907686547756237468365485949936283442849e-44), SC_(0.1410002569677527400672535793471909277884e-46), SC_(1.0) }}, 
+      {{ SC_(96.18981170654296875), SC_(97.99256134033203125), SC_(0.240151941776275634765625), SC_(0.1047338624529782694403256402509401725883e-72), SC_(0.1274994550921882776529206680489908409938e-58), SC_(0.8214455691379210750681642067899947422341e-14), SC_(0.9999999999999917855443086207892493183579) }}, 
+      {{ SC_(96.3088531494140625), SC_(60.5928192138671875), SC_(0.488668859004974365234375), SC_(0.1173424000075725323832188274859866785982e-48), SC_(0.1455980145613272932867048313858796718915e-45), SC_(0.0008052850602336237442086193512349341441502), SC_(0.9991947149397663762557913806487650658558) }}, 
+      {{ SC_(96.48885345458984375), SC_(96.76949310302734375), SC_(0.0185489989817142486572265625), SC_(0.1435982258016881740011473579074188068313e-169), SC_(0.2405150906117843685469869117960864428404e-58), SC_(0.5970445573141612300096758741661990216964e-111), SC_(1.0) }}, 
+      {{ SC_(96.86492919921875), SC_(33.23390960693359375), SC_(0.822622716426849365234375), SC_(0.3896126830362454261608108680217826494112e-32), SC_(0.575732196536069935996623203779523859796e-34), SC_(0.985438141759546703124794958382314271643), SC_(0.01456185824045329687520504161768572835698) }}, 
+      {{ SC_(97.0592803955078125), SC_(98.11096954345703125), SC_(0.0319296605885028839111328125), SC_(0.2998869565906142596550640980837126732485e-148), SC_(0.6376859616143078939902779400501204314318e-59), SC_(0.4702737313386163666185665116771431706157e-89), SC_(1.0) }}, 
+      {{ SC_(97.297454833984375), SC_(14.22172069549560546875), SC_(0.62565600872039794921875), SC_(0.4586358283116612515366441141888728005777e-27), SC_(0.2345703889146973155066568361856950228888e-18), SC_(0.1955216212655529321825058592196298245196e-8), SC_(0.9999999980447837873444706781749414078037) }}, 
+      {{ SC_(97.86806488037109375), SC_(23.2400360107421875), SC_(0.580998599529266357421875), SC_(0.4847838580994435860838596547982930354105e-33), SC_(0.1112477977342289130957389321924258614326e-25), SC_(0.4357693786731819507126485869030923714513e-7), SC_(0.9999999564230621326818049287351413096908) }}, 
+      {{ SC_(97.9748382568359375), SC_(35.46381378173828125), SC_(0.43892610073089599609375), SC_(0.2873257135274528993245007467042681059185e-45), SC_(0.1374390079964617837539348395028823804413e-33), SC_(0.2090568883720763685344749440226251580624e-11), SC_(0.9999999999979094311162792363146552505598) }}, 
+      {{ SC_(98.16379547119140625), SC_(49.7869415283203125), SC_(0.7558143138885498046875), SC_(0.3971958028052333965608830276024843615237e-41), SC_(0.2499072385121668210487453408177231300208e-43), SC_(0.9937475495928450856212412081950470642903), SC_(0.006252450407154914378758791804952935709679) }}, 
+      {{ SC_(98.2663421630859375), SC_(89.943603515625), SC_(0.79222810268402099609375), SC_(0.9703020130843336605117450383730907257821e-57), SC_(0.9342902223591938348587142832364306200003e-73), SC_(0.9999999999999999037114001866973304919699), SC_(0.962885998133026695080301263760365136479e-16) }}, 
+      {{ SC_(98.3052520751953125), SC_(55.438030242919921875), SC_(0.711244642734527587890625), SC_(0.9148851548605620864233078020635181477222e-44), SC_(0.2676495491351328940765645110959640891094e-45), SC_(0.9715765392732393467357708912202385044325), SC_(0.02842346072676065326422910877976149556749) }}, 
+      {{ SC_(98.4063720703125), SC_(29.338825225830078125), SC_(0.679551780223846435546875), SC_(0.7234863966571889292957198162735201822678e-32), SC_(0.6644618653733999798962457728260649872896e-30), SC_(0.01077102753452599131081375931128823317142), SC_(0.9892289724654740086891862406887117668286) }}, 
+      {{ SC_(98.79819488525390625), SC_(76.92431640625), SC_(0.498594343662261962890625), SC_(0.8547721404370727048220658289647343126557e-54), SC_(0.1805898574966365262303134358305105727825e-52), SC_(0.04519314170159976658173488989109380979713), SC_(0.9548068582984002334182651101089061902029) }}, 
+      {{ SC_(99.61347198486328125), SC_(44.7584381103515625), SC_(0.2373598515987396240234375), SC_(0.4979063210905853961279025180666656173251e-69), SC_(0.6862752454273526015268742998992848087559e-39), SC_(0.7255198616125700349403582088841519836769e-30), SC_(0.9999999999999999999999999999992744801384) }}, 
+      {{ SC_(99.90804290771484375), SC_(67.421295166015625), SC_(0.73282539844512939453125), SC_(0.4022690295295743797802135225234299639637e-49), SC_(0.3062978751814600527884142222488817508074e-53), SC_(0.9999238632526556439070749307531342152962), SC_(0.7613674734435609292506924686578470377178e-4) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/ibeta_derivative_data.ipp b/src/boost/libs/math/test/ibeta_derivative_data.ipp
new file mode 100644
index 00000000..fe84b871
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 500> ibeta_derivative_data = { {
+{{ SC_(1.1510574072599411010742187500000000000000e-01), SC_(2.7266698837280273437500000000000000000000e+01), SC_(9.1334599256515502929687500000000000000000e-01), SC_(2.4207408975542468276471409063557340041241e-29) }},
+{{ SC_(4.6342256665229797363281250000000000000000e-01), SC_(3.4317314624786376953125000000000000000000e+00), SC_(2.4176712334156036376953125000000000000000e-01), SC_(9.7664819482450522256458342803161978618775e-01) }},
+{{ SC_(6.7153173685073852539062500000000000000000e-01), SC_(2.3063192367553710937500000000000000000000e+01), SC_(9.0844279527664184570312500000000000000000e-01), SC_(7.7554246601041672683444057212131973997266e-23) }},
+{{ SC_(1.1902070045471191406250000000000000000000e+00), SC_(7.2695472717285156250000000000000000000000e+01), SC_(1.9963125884532928466796875000000000000000e-01), SC_(1.5321906748924114891745060032886406946431e-05) }},
+{{ SC_(1.5403441190719604492187500000000000000000e+00), SC_(4.0498138427734375000000000000000000000000e+01), SC_(3.4629878401756286621093750000000000000000e-01), SC_(9.7923759539017191739927492689320033465430e-06) }},
+{{ SC_(1.5487123727798461914062500000000000000000e+00), SC_(8.1611701965332031250000000000000000000000e+01), SC_(6.7876726388931274414062500000000000000000e-01), SC_(1.4648121492813252292768373177014159640882e-37) }},
+{{ SC_(2.2512593269348144531250000000000000000000e+00), SC_(4.8983201980590820312500000000000000000000e+00), SC_(7.9967319965362548828125000000000000000000e-01), SC_(5.8540689042279303280934853157536449193018e-02) }},
+{{ SC_(2.8674151897430419921875000000000000000000e+00), SC_(5.9605796813964843750000000000000000000000e+01), SC_(5.7525110244750976562500000000000000000000e-01), SC_(4.1520494356899987293263524909301504576644e-18) }},
+{{ SC_(2.9220280647277832031250000000000000000000e+00), SC_(2.6592067718505859375000000000000000000000e+01), SC_(4.7334149479866027832031250000000000000000e-01), SC_(1.5360804982518247618055790218134454683015e-04) }},
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+{{ SC_(3.5711679458618164062500000000000000000000e+00), SC_(3.6129398345947265625000000000000000000000e+01), SC_(4.6266771852970123291015625000000000000000e-02), SC_(8.0630029089023351756097144189618087805396e+00) }},
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+{{ SC_(3.7738864421844482421875000000000000000000e+00), SC_(8.8396858215332031250000000000000000000000e+01), SC_(5.0323975086212158203125000000000000000000e-01), SC_(2.1377651869822463634780753524564708635893e-21) }},
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+{{ SC_(5.3950119018554687500000000000000000000000e+00), SC_(3.5276241302490234375000000000000000000000e+01), SC_(1.8489784002304077148437500000000000000000e-01), SC_(3.7781645456892386738803801132041850052157e+00) }},
+{{ SC_(5.9618859291076660156250000000000000000000e+00), SC_(9.5247200012207031250000000000000000000000e+01), SC_(5.8708602190017700195312500000000000000000e-01), SC_(2.8909997138823406017647215950584284274946e-28) }},
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_int_data.ipp b/src/boost/libs/math/test/ibeta_derivative_int_data.ipp
new file mode 100644
index 00000000..946bd01f
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_int_data.ipp
@@ -0,0 +1,1009 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 1000> ibeta_derivative_int_data = { {
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_large_data.ipp b/src/boost/libs/math/test/ibeta_derivative_large_data.ipp
new file mode 100644
index 00000000..3435dcac
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_large_data.ipp
@@ -0,0 +1,1219 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 1210> ibeta_derivative_large_data = { {
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_small_data.ipp b/src/boost/libs/math/test/ibeta_derivative_small_data.ipp
new file mode 100644
index 00000000..159c7ab4
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_small_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 500> ibeta_derivative_small_data = { {
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+}};
+
diff --git a/src/boost/libs/math/test/ibeta_int_data.ipp b/src/boost/libs/math/test/ibeta_int_data.ipp
new file mode 100644
index 00000000..78832849
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_int_data.ipp
@@ -0,0 +1,1008 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1000> ibeta_int_data = { {
+      {{ SC_(1.0), SC_(1.0), SC_(0.12707412242889404296875), SC_(0.12707412242889404296875), SC_(0.87292587757110595703125), SC_(0.12707412242889404296875), SC_(0.87292587757110595703125) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.1355634629726409912109375), SC_(0.1355634629726409912109375), SC_(0.8644365370273590087890625), SC_(0.1355634629726409912109375), SC_(0.8644365370273590087890625) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.221111953258514404296875), SC_(0.221111953258514404296875), SC_(0.778888046741485595703125), SC_(0.221111953258514404296875), SC_(0.778888046741485595703125) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.3082362115383148193359375), SC_(0.3082362115383148193359375), SC_(0.6917637884616851806640625), SC_(0.3082362115383148193359375), SC_(0.6917637884616851806640625) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.632396042346954345703125), SC_(0.632396042346954345703125), SC_(0.367603957653045654296875), SC_(0.632396042346954345703125), SC_(0.367603957653045654296875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.81474220752716064453125), SC_(0.81474220752716064453125), SC_(0.18525779247283935546875), SC_(0.81474220752716064453125), SC_(0.18525779247283935546875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.8350250720977783203125), SC_(0.8350250720977783203125), SC_(0.1649749279022216796875), SC_(0.8350250720977783203125), SC_(0.1649749279022216796875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.905801355838775634765625), SC_(0.905801355838775634765625), SC_(0.094198644161224365234375), SC_(0.905801355838775634765625), SC_(0.094198644161224365234375) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.913384497165679931640625), SC_(0.913384497165679931640625), SC_(0.086615502834320068359375), SC_(0.913384497165679931640625), SC_(0.086615502834320068359375) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.9688708782196044921875), SC_(0.9688708782196044921875), SC_(0.0311291217803955078125), SC_(0.9688708782196044921875), SC_(0.0311291217803955078125) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.12707412242889404296875), SC_(0.09862827503959171189398618374792775287033), SC_(0.1013717249604082881060138162520722471297), SC_(0.4931413751979585594699309187396387643517), SC_(0.5068586248020414405300690812603612356483) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.1355634629726409912109375), SC_(0.1034626062176827277918252157009958542702), SC_(0.09653739378231727220817478429900414572975), SC_(0.5173130310884136389591260785049792713512), SC_(0.4826869689115863610408739214950207286488) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.221111953258514404296875), SC_(0.1426669309228783966319631141125057294315), SC_(0.05733306907712160336803688588749427056846), SC_(0.7133346546143919831598155705625286471577), SC_(0.2866653453856080168401844294374713528423) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.3082362115383148193359375), SC_(0.1683175237737739451458299347329965869636), SC_(0.03168247622622605485417006526700341303637), SC_(0.8415876188688697257291496736649829348182), SC_(0.1584123811311302742708503263350170651818) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.632396042346954345703125), SC_(0.1986574487056847557826435986513304812407), SC_(0.001342551294315244217356401348669518759265), SC_(0.9932872435284237789132179932566524062037), SC_(0.006712756471576221086782006743347593796327) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.81474220752716064453125), SC_(0.1999563572187662228110513475988795275212), SC_(0.4364278123377718894865240112047247884697e-4), SC_(0.9997817860938311140552567379943976376058), SC_(0.0002182139061688859447432620056023623942349) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.8350250720977783203125), SC_(0.1999755589571828112759793109250020391598), SC_(0.2444104281718872402068907499796084023135e-4), SC_(0.9998777947859140563798965546250101957988), SC_(0.0001222052140859436201034453749898042011567) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.905801355838775634765625), SC_(0.1999985166171454414455882653728607369309), SC_(0.1483382854558554411734627139263069093172e-5), SC_(0.9999925830857272072279413268643036846545), SC_(0.7416914272792772058673135696315345465861e-5) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.913384497165679931640625), SC_(0.1999990249920642955788201451534509989431), SC_(0.9750079357044211798548465490010569373139e-6), SC_(0.9999951249603214778941007257672549947153), SC_(0.487503967852210589927423274500528468657e-5) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.9688708782196044921875), SC_(0.1999999941539256010178778769929018951446), SC_(0.5846074398982122123007098104855351238397e-8), SC_(0.9999999707696280050893893849645094757232), SC_(0.2923037199491061061503549052427675619198e-7) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.12707412242889404296875), SC_(0.07841065545742553690357436899840861353416), SC_(0.03270045565368557420753674211270249757695), SC_(0.7056958991168298321321693209856775218074), SC_(0.2943041008831701678678306790143224781926) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.1355634629726409912109375), SC_(0.08116395928609379109945865148741523126218), SC_(0.02994715182501732001165245962369587984893), SC_(0.7304756335748441198951278633867370813597), SC_(0.2695243664251558801048721366132629186403) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.221111953258514404296875), SC_(0.09938827101178385357325884148839069014309), SC_(0.01172284009932725753785226962272042096802), SC_(0.8944944391060546821593295733955162112878), SC_(0.1055055608939453178406704266044837887122) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.3082362115383148193359375), SC_(0.1070804349188103774200633594833764298142), SC_(0.004030676192300733691047751627734681296879), SC_(0.9637239142692933967805702353503878683281), SC_(0.03627608573070660321942976464961213167191) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.632396042346954345703125), SC_(0.111097491048750043262614932132291317645), SC_(0.1362006236106784849617897881979346612813e-4), SC_(0.9998774194387503893635343891906218588048), SC_(0.0001225805612496106364656108093781411951532) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.81474220752716064453125), SC_(0.1111110825519232717208655720235017541736), SC_(0.2855918783939024553908760935693748091725e-7), SC_(0.9999997429673094454877901482115157875627), SC_(0.2570326905545122098517884842124373282553e-6) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.8350250720977783203125), SC_(0.1111111010529400910323964226375274050264), SC_(0.1005817102007871468847358370608472022094e-7), SC_(0.9999999094764608192915678037377466452375), SC_(0.905235391807084321962622533547624819885e-7) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.905801355838775634765625), SC_(0.1111111110462238627980857535394333033615), SC_(0.6488724831302535757167780774965012167349e-10), SC_(0.9999999994160147651827717818548997302531), SC_(0.5839852348172282181451002697468510950614e-9) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.913384497165679931640625), SC_(0.1111111110806238669246786783796986176146), SC_(0.3048724418643243273141249349655461366324e-10), SC_(0.999999999725614802322108105417287558531), SC_(0.2743851976778918945827124414689915229691e-9) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.9688708782196044921875), SC_(0.1111111111111080613957531527507243932621), SC_(0.3049715357958360386717849044032940135015e-14), SC_(0.9999999999999725525617783747565195393586), SC_(0.2744743822162524348046064139629646121513e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.12707412242889404296875), SC_(0.06377802111972172856117668420887073531375), SC_(0.01314505580335519451574639271420618776317), SC_(0.8291142745563824712952968947153195590788), SC_(0.1708857254436175287047031052846804409212) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.1355634629726409912109375), SC_(0.06534631396335302561085740765853120632746), SC_(0.01157676295972389746606566926454571674946), SC_(0.849502081523589332941146299560905682257), SC_(0.150497918476410667058853700439094317743) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.221111953258514404296875), SC_(0.073936098027053229980456629155316619064), SC_(0.002986978896023693096466447767760304012923), SC_(0.961169274351691989745936179019116047832), SC_(0.03883072564830801025406382098088395216799) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.3082362115383148193359375), SC_(0.07628406587795866730026283989957329242692), SC_(0.0006390110451182557766602370235036306499997), SC_(0.99169285641346267490341691869445280155), SC_(0.008307143586537325096583081305547198449996) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.632396042346954345703125), SC_(0.07692290473662908828301426763349698076011), SC_(0.1721864478347939088092895799423168144275e-6), SC_(0.9999977615761781476791854792354607498814), SC_(0.2238423821852320814520764539250118587558e-5) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.81474220752716064453125), SC_(0.07692307689978791728736106957085988607084), SC_(0.2328900578956200735221703700608178721351e-10), SC_(0.9999999996972429247356939044211785189209), SC_(0.3027570752643060955788214810790632337757e-9) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.8350250720977783203125), SC_(0.0769230769179188206511773543901190630926), SC_(0.5158102425745722532957859984322934593166e-11), SC_(0.9999999999329446684653056070715478202038), SC_(0.6705533153469439292845217979619814971115e-10) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.905801355838775634765625), SC_(0.0769230769230733860601287482474701785501), SC_(0.3537016794328675606744526819400056704101e-14), SC_(0.9999999999999540187816737272171123211513), SC_(0.4598121832627278288767884865220073715331e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.913384497165679931640625), SC_(0.07692307692307573512230480395666742897924), SC_(0.11879546182729664094940976869286312538e-14), SC_(0.9999999999999845565899624514366765767301), SC_(0.154434100375485633234232699300722062994e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.9688708782196044921875), SC_(0.07692307692307692307494051875730989027246), SC_(0.1982558165767032804462970824488025880236e-20), SC_(0.999999999999999999974226743845028573542), SC_(0.2577325615497142645801862071834433644306e-19) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.12707412242889404296875), SC_(0.05298684330600258243994453504760446274421), SC_(0.005836686105762123442408406128866125491082), SC_(0.9007763362020439014790570958092758666516), SC_(0.0992236637979560985209429041907241333484) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.1355634629726409912109375), SC_(0.05388026283526436764556709719993134422191), SC_(0.004943266576500338236785843976539244013386), SC_(0.9159644681994942499746406523988328517724), SC_(0.08403553180050575002535934760116714822756) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.221111953258514404296875), SC_(0.05798285710551880515383575029657780246697), SC_(0.0008406723062459007285171908798927857683196), SC_(0.9857085707938196876152077550418226419386), SC_(0.01429142920618031238479224495817735806143) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.3082362115383148193359375), SC_(0.05871162837935254489868170115871457879443), SC_(0.0001119010324121609836712400177560094408654), SC_(0.9980976824489932632775889196981478395053), SC_(0.001902317551006736722411080301852160494712) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.632396042346954345703125), SC_(0.0588235270073237814057109234005476351883), SC_(0.2404440924476642017775922953046994862122e-8), SC_(0.9999999591245042838970856978093097982011), SC_(0.4087549571610291430219069020179891265608e-7) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.81474220752716064453125), SC_(0.05882352941174372849881815123439088317093), SC_(0.209773835347899420797050643638214001969e-13), SC_(0.9999999999996433844799085709846450139058), SC_(0.3566155200914290153549860941849638033473e-12) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.8350250720977783203125), SC_(0.05882352941176178404402556960006402546711), SC_(0.292183832737157640656276818082852678684e-14), SC_(0.9999999999999503287484346832010884329409), SC_(0.4967125156531679891156705907408495537629e-13) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.905801355838775634765625), SC_(0.0588235294117647056693869968828643991896), SC_(0.2129659442936061890456975009412782209024e-18), SC_(0.9999999999999999963795789470086947862231), SC_(0.362042105299130521377685751600172975534e-17) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.913384497165679931640625), SC_(0.05882352941176470583122282199788944005315), SC_(0.5113011917858114818214109346195935267832e-19), SC_(0.9999999999999999991307879739641204809036), SC_(0.8692120260358795190963985888533089955315e-18) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.9688708782196044921875), SC_(0.05882352941176470588235293975287103627759), SC_(0.1423599551957705623143914190179850430127e-26), SC_(0.999999999999999999999999975798807616719), SC_(0.2420119238328099559344654123305745731216e-25) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.12707412242889404296875), SC_(0.04487554463330296498867403464237823454315), SC_(0.002743502985744654058945012976669384504466), SC_(0.9423864372993622647621547274899429254062), SC_(0.05761356270063773523784527251005707459379) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.1355634629726409912109375), SC_(0.04538456944202070712243042905333157192264), SC_(0.002234478177026911925188618565716047124978), SC_(0.9530759582824348495710390101199630103755), SC_(0.04692404171756515042896098988003698962453) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.221111953258514404296875), SC_(0.04736857715324135788740328993622036050871), SC_(0.0002504704658062611602157576828272585389136), SC_(0.9947401202180685156354690886606275706828), SC_(0.005259879781931484364530911339372429317186) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.3082362115383148193359375), SC_(0.04759830349897238434749159984329463475294), SC_(0.2074412007523470012744777575298429467938e-4), SC_(0.9995643734784200712973235967091873298117), SC_(0.0004356265215799287026764032908126701882671) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.632396042346954345703125), SC_(0.04761904758350377036083284895385707746354), SC_(0.3554384868678619866519054158407918425781e-10), SC_(0.9999999992535791775774898280309986267343), SC_(0.7464208224225101719690013732656628694139e-9) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.81474220752716064453125), SC_(0.04761904761904759904499906888538095785439), SC_(0.2000261997873366666119323071333816841757e-16), SC_(0.9999999999999995799449804465930001149422), SC_(0.420055019553406999885057844980101536769e-15) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.8350250720977783203125), SC_(0.04761904761904761729552426147647975508515), SC_(0.1752094786142567863962469394405144410183e-17), SC_(0.9999999999999999632060094910060748567881), SC_(0.3679399050899392514321185728250803261385e-16) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.905801355838775634765625), SC_(0.04761904761904761904760547328931447509706), SC_(0.1357432973314395056196355375980761242815e-22), SC_(0.9999999999999999999997149390756039770382), SC_(0.2850609243960229618012346289559598609911e-21) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.913384497165679931640625), SC_(0.04761904761904761904761671797829140797469), SC_(0.2329640756211072932013929197542902737565e-23), SC_(0.9999999999999999999999510775441195674684), SC_(0.4892245588043253157229251314840095748887e-22) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.9688708782196044921875), SC_(0.0476190476190476190476190476190465369039), SC_(0.1082143719333844138479652053317883063834e-32), SC_(0.9999999999999999999999999999999772749819), SC_(0.2272501810601072690807269311967554434051e-31) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.12707412242889404296875), SC_(0.03866188266790096489540055400757505247595), SC_(0.001338117332099035104599445992424947524048), SC_(0.9665470666975241223850138501893763118988), SC_(0.0334529333024758776149861498106236881012) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.1355634629726409912109375), SC_(0.03895193585668554399222700056164278492628), SC_(0.001048064143314456007772999438357215073721), SC_(0.973798396417138599805675014041069623157), SC_(0.02620160358286140019432498595893037684303) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.221111953258514404296875), SC_(0.03992256523844820971686527722437468671455), SC_(0.7743476155179028313472277562531328544896e-4), SC_(0.9980641309612052429216319306093671678638), SC_(0.001935869038794757078368069390632832136224) }}, 
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+      {{ SC_(37.0), SC_(37.0), SC_(0.1355634629726409912109375), SC_(0.1296111998868566405720542382682176670195e-35), SC_(0.309564789472764679093375775903441064718e-22), SC_(0.4186884435649110798542051137448125301801e-13), SC_(0.9999999999999581311556435088920145794886) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.221111953258514404296875), SC_(0.2562741045594853507301922042614016365325e-29), SC_(0.3095647638453671842648293885482778440017e-22), SC_(0.8278528866152636518115304178551121854591e-7), SC_(0.9999999172147113384736348188469582144888) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.3082362115383148193359375), SC_(0.9697027380656677021427830653945592127811e-26), SC_(0.3094678191989710734431501832609588142206e-22), SC_(0.0003132471040124351596576730870327977659869), SC_(0.999686752895987564840342326912967202234) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.632396042346954345703125), SC_(0.3063451207632721012988627372821913143173e-22), SC_(0.3219668709505538914501724285306955824562e-24), SC_(0.9895993704097000715411905826153733915169), SC_(0.01040062959029992845880941738462660848308) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.81474220752716064453125), SC_(0.3095647892990086195192122018743245560235e-22), SC_(0.1737690206941522596931737141183088624137e-31), SC_(0.9999999994386667133878509901348317251675), SC_(0.5613332866121490098651682748324536630957e-9) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.8350250720977783203125), SC_(0.3095647894672021976547480411236536892802e-22), SC_(0.557544255861642044384458086164795234761e-33), SC_(0.9999999999819894162765991478047915369078), SC_(0.180105837234008521952084630921920026118e-10) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.905801355838775634765625), SC_(0.3095647894727776401201650427507053565973e-22), SC_(0.9319941881679291354451743800364440933825e-41), SC_(0.9999999999999999996989340455175098675848), SC_(0.3010659544824901324152261922870847584496e-18) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.913384497165679931640625), SC_(0.3095647894727776402077793811087210433219e-22), SC_(0.5585080458777226819971826512604809980239e-42), SC_(0.9999999999999999999819582825673125691735), SC_(0.1804171743268743082647407545766726774271e-19) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.9688708782196044921875), SC_(0.3095647894727776402133644615674982685644e-22), SC_(0.1577418664709856221006413731479117116045e-57), SC_(0.9999999999999999999999999999999999949044), SC_(0.5095601044926236696504373430890795334844e-35) }}
+   } };
+
diff --git a/src/boost/libs/math/test/ibeta_inv_data.ipp b/src/boost/libs/math/test/ibeta_inv_data.ipp
new file mode 100644
index 00000000..402ebe56
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_inv_data.ipp
@@ -0,0 +1,1217 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 1210> ibeta_inv_data = { {
+      {{ SC_(0.104760829344741068780422210693359375e-4), SC_(39078.1875), SC_(0.913384497165679931640625), SC_(0.2135769916611873809373928693612157637794870746322109915739746618652569766882593624385400901395922558e-3760), SC_(BOOST_MATH_SMALL_CONSTANT(0.6169146818683135737866366973021696361959736535710675458813428774517757535576031054239811928697394346e-101417)) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.0226620174944400787353515625), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6398069040886718270700942839013650119743974939592699138527850527236181568779785317811717302449254101e-76964)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1123304116325227195797533167182832111272986902383876280357481893374380043283848201429836361152904889e-5592)) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.03654421865940093994140625), SC_(0.9688708782196044921875), SC_(0.5825356514402150924555439351704966386176716144780670249830283141506929468296452211723778443894234951e-1195), SC_(BOOST_MATH_SMALL_CONSTANT(0.1299246431009640780314778465681510321819328250560790012308930348335051591055920757982605267188242976e-132423)) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.00244517601095139980316162109375), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9626654068785645417511885142439608103434581112273323673426712424844243107090177710187642425011765594e-75761)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1968131210354581442057523237500619235039616488884597039029510000400233015927645935497663749543679489e-5358)) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.015964560210704803466796875), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.3589991782488314563613963926946558354830549116688735009134661806895352582322279412078679966549495e-43116)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8498116607235052405320447197085177573554285064950351753253894145078534997511294854886147550142192844e-13482)) }}, 
+      {{ SC_(0.1215800511999987065792083740234375e-4), SC_(24110.49609375), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6446009470761694712696178802124602151206198100070272397820841954953457589393814080011513726764543968e-71386)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4411620506592737532109016496457382048657857194340645526246628280311812592288988016544405559990034441e-5208)) }}, 
+      {{ SC_(0.130341722979210317134857177734375e-4), SC_(26168.341796875), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2166416563492047698893468112939141389204329099488114879770220649554966170201180232315257069497901648e-68742)), SC_(0.1077379305584195394942430687801727576986179591753422104711707268006164084179781893335299072659829737e-4532) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.04976274073123931884765625), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1505435304898114171757823372486217209606557096566030133214604079062750941794084777046798389177683298e-14323)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8191336340381130196534918861139224810035912334983040442057176348873687528604185195239248980481620309e-31292)) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.3188882328686304390430450439453125e-4), SC_(0.81474220752716064453125), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4280498729519778987331529352631079454822421273284878121766790306889766290450686026189682387674704682e-41368)) }}, 
+      {{ SC_(0.14759907571715302765369415283203125e-4), SC_(2.8241312503814697265625), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.149627207977763220942721958324439773028753443201215406980939699041850526798527355589362837986915531e-13483)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2558857410093259430689102879079456979338542212672378310349005537672813392923619357148699354237694984e-29446)) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.4875471131526865065097808837890625e-4), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1196552230711909114279654256938815998740725267957310722981422063213023453615282876024769302334980208e-35700)), SC_(1.0) }}, 
+      {{ SC_(0.1519624856882728636264801025390625e-4), SC_(16177.537109375), SC_(0.81474220752716064453125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1452425209503955537338422359333948812006899768260140476005442384340571893909020382026092251217563149e-5859)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1118345883008806780173762266422459055560035027762640953226900168492818873939725415273834608038325661e-48188)) }}, 
+      {{ SC_(0.1554497794131748378276824951171875e-4), SC_(40.46924591064453125), SC_(0.905801355838775634765625), SC_(0.1263629472761081761336139611957096532344967812079201565462877028056022440086149370452532349289977537e-2765), SC_(BOOST_MATH_SMALL_CONSTANT(0.9919220074175430612528899218323716721906730140324380689847652631919111677660506550414306011565356188e-66001)) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.000101913392427377402782440185546875), SC_(0.81474220752716064453125), SC_(0.2853716542422836893914328033448649871440784183324642438029547731008406102487895766538278835997616547e-1712), SC_(BOOST_MATH_SMALL_CONSTANT(0.2298245136733929898089558753739834100156855492642462724846011273903684294484329372722305239196215964e-42747)) }}, 
+      {{ SC_(0.15971760149113833904266357421875e-4), SC_(19.206241607666015625), SC_(0.913384497165679931640625), SC_(0.9582815834618172404720774906601516866545834853534306710079796796969465944037138120013655983754855937e-2465), SC_(BOOST_MATH_SMALL_CONSTANT(0.6326194310940251351062236483308143964837777396539364617390517845304796920345734401134182052813379253e-66519)) }}, 
+      {{ SC_(0.16304524251609109342098236083984375e-4), SC_(0.00039033559733070433139801025390625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2749781704753392658488528370082054060663950436757594599541089373221441866088075915394337505609699445e-53860)), SC_(0.9828097758952314597050411618472387868890317665219757564769723884179197098195673563971975573178259902e-2530) }}, 
+      {{ SC_(0.16487292668898589909076690673828125e-4), SC_(470997.15625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.4541512737936566032722209936653561647042510033334139786119604257285077373847313505998057776219766456e-54347)), SC_(0.1549128670548823853403220618952571853257756905438794574182300339725200919598045497915626657567121817e-3585) }}, 
+      {{ SC_(0.165044693858362734317779541015625e-4), SC_(3.57584381103515625), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.794238046161941112343749823902683082201010853905108950104923153872086335073632221934630976272829339e-30969)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2292466372763638638323475388751441681337812313997406078153894115038015753694828319985703460438800914e-9697)) }}, 
+      {{ SC_(0.166259487741626799106597900390625e-4), SC_(147818.875), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.4840219552903389147605728190427790980761548760276021823940610272825144416373810916979400186204380198e-11975)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3355691678737767782891887487339395952689357895271229870171944057769814627603827220615993999615612822e-26146)) }}, 
+      {{ SC_(0.16847467122715897858142852783203125e-4), SC_(0.002207652665674686431884765625), SC_(0.9688708782196044921875), SC_(0.5906847920417500109372659805901565510642317169243157405152707420759307862602125145324167267749837092e-619), SC_(BOOST_MATH_SMALL_CONSTANT(0.170124244972649861948335303360579678196382235848312316943910825664898769097190318119987719590491326e-89243)) }}, 
+      {{ SC_(0.1747490387060679495334625244140625e-4), SC_(0.26349246501922607421875), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.12843516647174278387874388748896407588386560678553377934101747757777562235501611818724095565006393e-11386)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2536225597635438964484652244350105224785079947699063064898395295623461960169137518050619029664249122e-24869)) }}, 
+      {{ SC_(0.17863809262053109705448150634765625e-4), SC_(439.38714599609375), SC_(0.8350250720977783203125), SC_(0.8244670330185256737263969143826902858678798594720040631958052373536602436314305948340758463250207469e-4386), SC_(BOOST_MATH_SMALL_CONSTANT(0.7352777980091604256079199692103097168555239346683458759313911552620269891691410672306190764078484364e-43811)) }}, 
+      {{ SC_(0.1895247623906470835208892822265625e-4), SC_(1.07109558582305908203125), SC_(0.9688708782196044921875), SC_(0.1958346418095304122274704022704012284830310878577730588329056279113401343952355448951150975955101985e-724), SC_(BOOST_MATH_SMALL_CONSTANT(0.1204102194190057648286366185479451893365394896311826527650411245123421846075536145059629401728008699e-79505)) }}, 
+      {{ SC_(0.19740999050554819405078887939453125e-4), SC_(105.41565704345703125), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.4171715706701289778828007890899248697163485933652243450349057614457988149098646573044273964497613009e-25893)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4289676998659303218462202648585110823764351223533266318047234914191374259260207999216104631145461676e-8109)) }}, 
+      {{ SC_(0.2004335328820161521434783935546875e-4), SC_(482.00701904296875), SC_(0.905801355838775634765625), SC_(0.2300786867506388908353022364598233237429971469616025799538393909707204968894677299870201252175165343e-2146), SC_(BOOST_MATH_SMALL_CONSTANT(0.1799474819364733378341626493308533546950444872243502571473922786173950526564225295056238004071701751e-51189)) }}, 
+      {{ SC_(0.2017128645093180239200592041015625e-4), SC_(232.9792938232421875), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9782152059532611372922752218945140821311267421642771819909290848934391306656384389032421044430100903e-43027)), SC_(0.7953007761061898269032745221331387025438802327808884652857398546810598867143141546217396350761801352e-3139) }}, 
+      {{ SC_(0.20203804524498991668224334716796875e-4), SC_(42.8336334228515625), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9505827239534352483275638000309426098918435445176677914029048966050973796738555346371505206583029493e-42957)), SC_(0.4879738324842388808208264019692856316850110596695651192968764647838931697912322372907706638620027653e-3133) }}, 
+      {{ SC_(0.20300331016187556087970733642578125e-4), SC_(42.38938140869140625), SC_(0.9688708782196044921875), SC_(0.3816869308438157775438575701400816009072542007939410749970155744055876159478755860836778076571703486e-678), SC_(BOOST_MATH_SMALL_CONSTANT(0.127201723496121023828113564898347237146568849457350377769280925620763942807444814392111020123066826e-74228)) }}, 
+      {{ SC_(0.2051885167020373046398162841796875e-4), SC_(236087.890625), SC_(0.8350250720977783203125), SC_(0.2236779936126539857160222845963337050945115341054176739161533824043234207571359913112629207518401323e-3821), SC_(BOOST_MATH_SMALL_CONSTANT(0.5187557340526034705800892748375743405416818891180832866460176073642680219205270491482771189624680261e-38145)) }}, 
+      {{ SC_(0.21041001673438586294651031494140625e-4), SC_(3.8230969905853271484375), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2611050064285175125482131273698210462799115955403897510685180499383028995007734375008754345306902882e-42581)), SC_(0.1263421304086059092982729044494063450981720138268968234081464502945179653799025464601347361390558349e-2805) }}, 
+      {{ SC_(0.2107691761921159923076629638671875e-4), SC_(0.04489715397357940673828125), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.3900373750276575859585149320905549732932763658865496075030893208483961831557459599669540245248710031e-31085)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4404830308340426746130675276769279825579374873733567061860857053216363945038073562970896042079876724e-5139)) }}, 
+      {{ SC_(0.21139929231139831244945526123046875e-4), SC_(0.17535277947899885475635528564453125e-4), SC_(0.8350250720977783203125), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.473270793701914810977987563126323761517466803284082613651628762799832085337970872475482395336393227e-20769)) }}, 
+      {{ SC_(0.21433561414596624672412872314453125e-4), SC_(3719.279052734375), SC_(0.81474220752716064453125), SC_(0.5697755869431091234460288256178201914669184558313577703589192769624449530099467135008330171347109014e-4155), SC_(BOOST_MATH_SMALL_CONSTANT(0.5052326319604125969261540109121341746553338155418535572465629231132318093045693841291017785062704029e-34166)) }}, 
+      {{ SC_(0.22448601157520897686481475830078125e-4), SC_(445071.28125), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1154051199795256693167224940027851782575716013364780412354086379221856337304339043125449929568329416e-29200)), SC_(0.5317196597832401400329618898138594703102901476369725585493922299078299104951909429878615105121363765e-4840) }}, 
+      {{ SC_(0.22683978386339731514453887939453125e-4), SC_(0.0405500046908855438232421875), SC_(0.905801355838775634765625), SC_(0.3320529691129112781183346091758024243131258015814127148220088686655475575144026542984765934147092121e-1883), SC_(BOOST_MATH_SMALL_CONSTANT(0.3063046523049329771837110182553346515767597472422624500690020343432489716503981152245110195835717713e-45217)) }}, 
+      {{ SC_(0.234849067055620253086090087890625e-4), SC_(25542.79296875), SC_(0.9688708782196044921875), SC_(0.3441730180671123519495976583198624119926731047061369849411568660575245402127433117800519623117640306e-589), SC_(BOOST_MATH_SMALL_CONSTANT(0.3751784934105693320455113760515845925736447146431148474482569436486280690421206833759119870649005669e-64166)) }}, 
+      {{ SC_(0.23615430109202861785888671875e-4), SC_(4.50702953338623046875), SC_(0.905801355838775634765625), SC_(0.4988379611542168986414874238506419923844468056925819195174874699047526593073353049454994954833639083e-1820), SC_(BOOST_MATH_SMALL_CONSTANT(0.7341840761161541739065036501325419142613794847229658509278972834999220997543398966712274676180693554e-43445)) }}, 
+      {{ SC_(0.2399934965069405734539031982421875e-4), SC_(462.945892333984375), SC_(0.81474220752716064453125), SC_(0.3110095684445031013162420462860776918422474101001024588575132091902755892192793640381029649700096935e-3710), SC_(BOOST_MATH_SMALL_CONSTANT(0.8797682788975050110209751601822341604088251725221823097384363697152422631690456231980809725272529829e-30513)) }}, 
+      {{ SC_(0.24066381229204125702381134033203125e-4), SC_(1270.3814697265625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.4576190191092904160454048722884335228372052972542105302690069527168297955063547521360024576623301653e-37231)), SC_(0.1420858306336174465235602280120246573601819672841164112725840259803341782460177715076940711063890289e-2455) }}, 
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+      {{ SC_(424641.03125), SC_(0.2840512692928314208984375), SC_(0.3082362115383148193359375), SC_(0.9999994750636549669670606473061109603761635212061967274985478848332176734538791017721257779548027605), SC_(0.9999999739814327156712234926962831943788993494932233013963790111365912453400671308543415084742014015) }}, 
+      {{ SC_(431857.34375), SC_(0.000211423015571199357509613037109375), SC_(0.905801355838775634765625), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(433260.8125), SC_(3.3808853626251220703125), SC_(0.905801355838775634765625), SC_(0.9999969819317488587881461792850888475768718203652823126667535332673193874620970162529189308649544396), SC_(0.9999862985752257128652103590400974817457299983496624630313157549699524585549896935023931532699212086) }}, 
+      {{ SC_(434088.21875), SC_(21.81499481201171875), SC_(0.12707412242889404296875), SC_(0.9999373373312823166558666370134409611695804442709662922918704832772088187585446175690336698789214258), SC_(0.9999616965351012448240568108749462155945157055968478012559160622065331568396155867317792166746127338) }}, 
+      {{ SC_(434689.125), SC_(39291.4765625), SC_(0.81474220752716064453125), SC_(0.917461959010412182685915555568393955513643969597894372657100531180768279837135956151775654776489289), SC_(0.9167446673468778375962374922169420664609807836207411106316537831936914893386205048529899697184531553) }}, 
+      {{ SC_(435121.25), SC_(397.58978271484375), SC_(0.632396042346954345703125), SC_(0.9991032356687607663170758081994663804545219752851748934242218706100390785290407790519388112949974116), SC_(0.9990722960117656720982176725927203880876672401511674631927254651106841735347495126259465844742175537) }}, 
+      {{ SC_(437285.3125), SC_(0.2788266647257842123508453369140625e-4), SC_(0.3082362115383148193359375), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(442472.9375), SC_(49476.66015625), SC_(0.1355634629726409912109375), SC_(0.8989553759462725154195912825680002145390824453023265617169936644862701649915658110052894084041830153), SC_(0.8998991547281331197912897937898208409760268200326740982917502926455633491439458667387132339684255894) }}, 
+      {{ SC_(450819.5), SC_(499216.46875), SC_(0.221111953258514404296875), SC_(0.4741351844340727004467290920964798805530388223292311537088183157505857155369303090852906203317270319), SC_(0.4749225520632804503831707896293591563564510578733056247136808234148925259976983491440388496735532279) }}, 
+      {{ SC_(457779.125), SC_(0.326781928539276123046875), SC_(0.81474220752716064453125), SC_(0.9999999910727029325617530685760277558694771909650151522235239619750731721035596554760606019094289709), SC_(0.9999987858178995610219544528459401488999341746160983444951291984610165296616383478160281021221648139) }}, 
+      {{ SC_(458356.625), SC_(0.00327513157390058040618896484375), SC_(0.81474220752716064453125), SC_(1.0), SC_(0.9999999999999999999999999999999991663668185381070411966512131706847600000660648405081952061008667392) }}, 
+      {{ SC_(462545.71875), SC_(0.01835658587515354156494140625), SC_(0.81474220752716064453125), SC_(0.9999999999999999999999999999999999999999999998408559003203816496751827616995900078085841802845788018), SC_(0.9999999999824865494095113121276887961620751733866931423886562603084660496027804389884068533626778463) }}, 
+      {{ SC_(466997.53125), SC_(0.356361567974090576171875), SC_(0.9688708782196044921875), SC_(0.999999999908585136073218599560639574585679002817051921225365716235382799011868956412143385957374377), SC_(0.9999959050920261602210872695621046203124487413396593115588810222179555364832748299668392611148334214) }}, 
+      {{ SC_(468932.8125), SC_(0.182366857188753783702850341796875e-4), SC_(0.632396042346954345703125), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(470942.5), SC_(0.326362073421478271484375), SC_(0.913384497165679931640625), SC_(0.9999999991634295790864615713201865731290532042979576143167684474434066293110330308591586719592525982), SC_(0.9999977662722746820150898269173378866588151731047916028888067446958373170001483823516884123613851415) }}, 
+      {{ SC_(473791.3125), SC_(0.00037331905332393944263458251953125), SC_(0.9688708782196044921875), SC_(1.0), SC_(0.9999999999999999999999999999999999999999998073822602388688624653696078183429191536061547769537964575) }}, 
+      {{ SC_(474410.90625), SC_(1.53685867786407470703125), SC_(0.3082362115383148193359375), SC_(0.9999961129062931113810979684551783321474081584789778624951890966223338422649810562505451410537303544), SC_(0.999998403265561481452323439582435790606202798849405347541950528356589895392491922180143509579003441) }}, 
+      {{ SC_(481669.8125), SC_(360.35894775390625), SC_(0.8350250720977783203125), SC_(0.9992907831812886773473659863167020097660580060484200865493826163108597351525902267283025051442100653), SC_(0.999214115270590007552130187756931575538839868062918740780889455554092188930046874164289191809734251) }}, 
+      {{ SC_(485412.125), SC_(483725.21875), SC_(0.81474220752716064453125), SC_(0.5013251403632957657097180440139352644280668716512067495231709003767868348011456320309173169758632819), SC_(0.5004154864846086974762398748354340355121671666386661965862493622607256259777758150232988196487155074) }}, 
+      {{ SC_(489093.59375), SC_(101.60869598388671875), SC_(0.221111953258514404296875), SC_(0.9997767680266260123110682903130838658146825013373285034001164702953644249742530005306208421454781091), SC_(0.999808377593128038314593193233001644747928940615604047013939298656600726304242669404403355730826352) }}, 
+      {{ SC_(489183.34375), SC_(118808.328125), SC_(0.905801355838775634765625), SC_(0.8052575261090612610637084789843685951634273246290044181560593884142556001108220633456497594556682558), SC_(0.8039197640541228765389792372480736779551687141239257074087097158639306091733737153424379109689825148) }}, 
+      {{ SC_(491651.625), SC_(32.955524444580078125), SC_(0.3082362115383148193359375), SC_(0.9999276667129839450708195109501969031021375557304337628863198830422811974212658774808113659981096958), SC_(0.9999392952515020529866132904758764722582237171318891514012201689689695587113485590174396303118997795) }}, 
+      {{ SC_(499024.09375), SC_(0.3617647588253021240234375), SC_(0.221111953258514404296875), SC_(0.9999989677510921954271873521993859181834023852192245015532772531114512443689750755333329075681050925), SC_(0.9999999774076213040954883510429323955048191846373634062085510975273422302416340711527143505910773273) }}
+   } };
diff --git a/src/boost/libs/math/test/ibeta_inva_data.ipp b/src/boost/libs/math/test/ibeta_inva_data.ipp
new file mode 100644
index 00000000..368536fa
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_inva_data.ipp
@@ -0,0 +1,1108 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1100> ibeta_inva_data = { {
+      {{ SC_(0.101913392427377402782440185546875e-4), SC_(0.3082362115383148193359375), SC_(0.1355634629726409912109375), SC_(0.6498233713152427462579302903941895526823485861809005407005756658138299437345439685916818979079350952e-4), SC_(0.1598220360006443400909761969445329244603859759388130816641624923434214075962489978723834186220509792e-5), SC_(0.1598250823507423266003361933591577902014719110010440833489018043541995851576985396009647692344594598e-5), SC_(0.6499023539055942142435327607856798948132754954188633069136984730655318067141056849740949064680308213e-4) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.8350250720977783203125), SC_(0.221111953258514404296875), SC_(0.3971461302443922423613753292972913694448775540766244520233346130148330830638824141461619735572445997e-4), SC_(0.3200361118082439458200937030865347915510238320387461167764804252841304593011303390960681217527273982e-5), SC_(0.3200210889570744035937464686925692217326089474042347373846591880760057034684133216576634448402269381e-5), SC_(0.3970804661143976120973144952058224085647966940391220340079248912116191892887943249201895859632245494e-4) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.905801355838775634765625), SC_(0.913384497165679931640625), SC_(0.1078981970343159393325856300516135956140969598440175633458632674725240047510167692675710778553847126e-5), SC_(0.0001200181935703441995121934466228033111754654801609287621930678605774967528649020200620769888673021826), SC_(0.0001199468547533371496891932800417754246696194915133685876058567801242730706768275318621189458708399548), SC_(0.1078921129179782267266584693661729948023960221141040813461658037144034851960955828005953048025067861e-5) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.632396042346954345703125), SC_(0.221111953258514404296875), SC_(0.4025899796795053338948240609285498211472682534957119282666669306536310006800286817936757572860013938e-4), SC_(0.3244356766903463719306913859577321911415693698681174694348315965945146265497858043549761761998515535e-5), SC_(0.3244305116814100828743022380284672509844786339827561909255756253408557410865952781989509881881736442e-5), SC_(0.402567403617356621571805857579531660366440062441234650794612972668478828468673367856838957420528343e-4) }}, 
+      {{ SC_(0.1145765054388903081417083740234375e-4), SC_(0.913384497165679931640625), SC_(0.905801355838775634765625), SC_(0.1191571750545867392537313798907431542344344095879200999308344375910813077398702631095528359741186503e-5), SC_(0.0001102067845592199693917010458194599552572103205410984424051016635846792835186985601306422395955097474), SC_(0.0001101436549179224812644413611401269090813984984476836579744033601646714018004549966518797920528872344), SC_(0.1191500741959144922072835433076419034115688201288730002114876689721036040236828451248448892509304819e-5) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.8350250720977783203125), SC_(0.8350250720977783203125), SC_(0.2340623363191603898370775227750571590200502357875341269550358518828489422976009146847049767670005029e-5), SC_(0.5997016652255219747886060771729383753308007448753449600990778600678820278172428956506474372626790804e-4), SC_(0.5995620164847073584050553181224642561226948778199420970812017399765536897356590939928613936314653308e-4), SC_(0.234051566405018175204269278558069354736428629628287051287220082664267809248151547790462782021755034e-5) }}, 
+      {{ SC_(0.12048656572005711495876312255859375e-4), SC_(0.913384497165679931640625), SC_(0.81474220752716064453125), SC_(0.2739744250951670275113298279765201756581440367980696202896543991551475858455303285016122111531160698e-5), SC_(0.5299670821761171764372900056596763966402488146854288536412386951147420756371449036647596214642744172e-4), SC_(0.5298047274004390572318749610229599999656628731752066034988441477464604972189618031020718116326084136e-4), SC_(0.2739553374006434941292646031005528692950850835558781259804553220755863034131702899478155309841849826e-5) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.8350250720977783203125), SC_(0.913384497165679931640625), SC_(0.1316761416595919370130125478806042690058228402723744932513555575390264383428267099674470556162378215e-5), SC_(0.0001464621138187770636368288091715451405788452187762438244322570896511463096988914144097451646517393708), SC_(0.0001463859922463820577136477421662789627417973019629595681808688398863611174765967906151751169713754156), SC_(0.1316696495791707946163884336944625169957551861831120145642154917636213029136344378330816865851253778e-5) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.1355634629726409912109375), SC_(0.12707412242889404296875), SC_(0.9547673292113491262034069793405709241018001446440966950759890317490878173052656894523453165695624926e-4), SC_(0.2023635278368965262888447203152206885757241398427865002786378633252671147811944223712212058587588226e-5), SC_(0.2023754690333906934784743578875515210120065850224750194606142612432969845718622103368626791471648456e-5), SC_(0.9551543863643827044064851822439522331538353359186806068477116827790284692824136317548192394272389844e-4) }}, 
+      {{ SC_(0.143944707815535366535186767578125e-4), SC_(0.221111953258514404296875), SC_(0.81474220752716064453125), SC_(0.3272972153593272792294315950670347359831261283602618957436021027450675786174856995623862264110326696e-5), SC_(0.632990141303189719133353279896837410679405196953125322609425221598638065093292166662050411772898045e-4), SC_(0.6331140087531343209152630672946940443241052431215532098504247271212384333561961538316669124336267509e-4), SC_(0.3273117781877539280798489020583032342225811653678924427425569001005416493844068702682445156689086415e-5) }}, 
+      {{ SC_(0.14498580640065483748912811279296875e-4), SC_(0.3082362115383148193359375), SC_(0.3082362115383148193359375), SC_(0.3253742212386968781612656316620215840333726254656645874658994387373581238578087455806150295721983642e-4), SC_(0.6460170263304768607166472283634580938080587045554068917515889569677695568527422292732443965595733546e-5), SC_(0.6460389168964756781185792834191710616285016843656138451140030019016010603469220070557969454976470937e-5), SC_(0.3253989653200702274919661149423446286389104607980329666927131807017854240337258963755040377916930538e-4) }}, 
+      {{ SC_(0.150073101394809782505035400390625e-4), SC_(0.905801355838775634765625), SC_(0.3082362115383148193359375), SC_(0.3368409504251561290464334473768649337939776230437629072347636411186828106568821467963048055712919614e-4), SC_(0.6687287839256708751603744004615321146312284138895378752133829995735298947731901687375615081162665865e-5), SC_(0.6686631150723913246638218241012310033772813288325333543118501948241656165404065320414326799591238772e-5), SC_(0.3367667217741028633923677261223016046989181571572493614821457869552722619328990219221837086365139157e-4) }}, 
+      {{ SC_(0.150358655446325428783893585205078125e-4), SC_(0.913384497165679931640625), SC_(0.1355634629726409912109375), SC_(0.9590303934205324631565257968984418682325537068446175465533121391485224886714546031448674308598768754e-4), SC_(0.2358064976440925144147073399479359701859791978119588953669585750075394212334040246114720302574396224e-5), SC_(0.2357871747378977311589396746549307159106310325274719313965661500873802598080130111071124153255736699e-5), SC_(0.9585294284458174387238014758587531939522744711214339460244053261369492265424734665782500243897903548e-4) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.12707412242889404296875), SC_(0.632396042346954345703125), SC_(0.87651069540304628423081918011260974905033687777361892246598630128014121055416273931319481920790515e-5), SC_(0.259394507865675995744762355153851792156958953609180785329566058577092563181989551106130502682548618e-4), SC_(0.2594355203373817883698461757521940058816181951323031229743551991870650806867128742063568243515966938e-4), SC_(0.8765912509183101407045558460058661316022689816530705908193566381502601877100638232366285667845801709e-5) }}, 
+      {{ SC_(0.15419080227729864418506622314453125e-4), SC_(0.12707412242889404296875), SC_(0.1355634629726409912109375), SC_(0.9830005405914737446060892363685712552152782311310204370882529948507189082695976623585226251217629048e-4), SC_(0.2417982090725863219268402865263656889157071672332778168735691070344962656880642022791761256750260214e-5), SC_(0.2418148323498376774634162885245152923095533505622569142619373610219681319883028827406881417407724923e-5), SC_(0.9834315167538787468882315193663229818124191644081977735590761688303094176815343087199599992309813292e-4) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.3082362115383148193359375), SC_(0.12707412242889404296875), SC_(0.0001076705852659451793853865643565345351084475810373544400849947491064482183831269674483630442891227277), SC_(0.2281884068014367922411896063517274399583263910072808042169062857538812657905414478059107182988935904e-5), SC_(0.2281950317358702456902944257528144442000952715480241963747411206463352849834574570250349766756506247e-5), SC_(0.0001076920590890716618082136667711265533451107466155867551262184847803119057614262957145136457318713641) }}, 
+      {{ SC_(0.15964558770065195858478546142578125e-4), SC_(0.8350250720977783203125), SC_(0.905801355838775634765625), SC_(0.1660278783926417628556777160282997881556780127471291513930816808973189010497802355733599800163014022e-5), SC_(0.0001535552230132099996415866651208432663272262371647920595961863118674016207241551750339476731435767165), SC_(0.0001534708524536018031472228456674893374691254721961681088171006888239037200588582248419618310759235827), SC_(0.1660183881247630944760800805383653749744450292432029092339200275943746932481995662921241116809458963e-5) }}, 
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+      {{ SC_(475931.78125), SC_(0.1355634629726409912109375), SC_(0.221111953258514404296875), SC_(74863.22159423657178639135843064319186867849712135432679140745009910166430025378444104631149358051552), SC_(74411.62359846101533194367027997650975048798856694024723181729993473406725909453910573442714644750971), SC_(3031199.27574924233997859053704277970442582820164378907041604417813349570600051850022942680116940976), SC_(3038471.007954823489719352635939274579304822773919251533092003024823266976921005941089319124285500496) }}, 
+      {{ SC_(480505.75), SC_(0.913384497165679931640625), SC_(0.905801355838775634765625), SC_(5057009.137883346991297280272316655884843512474132092967659893246907363070814150415616505779213755808), SC_(5077130.008669136984101475927154584113851934847615921791753015711169641012846352004783223552006266754), SC_(45860.39578823761216780930027528343441271409993632576700986556608110936794777922189190471234767214715), SC_(45272.82619384517959483726844004670545212496499292353295676138585412022031957970747357936964957150843) }}, 
+      {{ SC_(481037.90625), SC_(0.3082362115383148193359375), SC_(0.1355634629726409912109375), SC_(214954.0730415459324272322098059261658344195921911048215227103731874995082410590810383910277671282622), SC_(213728.9433236639020931731891795221242722212174046095998104798208675703012870270153304541107798144009), SC_(1077517.795801841403487141321214750115179387272101781637533476788045360859794269288938283235224199637), SC_(1081636.810871830922880032963090014830142863695032235420818616239563778235210349598024972698342430219) }}, 
+      {{ SC_(485980.90625), SC_(0.1355634629726409912109375), SC_(0.81474220752716064453125), SC_(75947.50287755040088992558685298601037560620447249457062259186705941456229777606961809318551961112457), SC_(76479.30117347133042069077426985013802863207922409730304956347781449509840371152867686698312667407036), SC_(3103196.634482552348526388073690399281667050881158209209257160529514613456386016945448500178200416261), SC_(3094633.498847298449800834614348937260696174622946733336073730690861985736659159836937933593087681597) }}, 
+      {{ SC_(489096.34375), SC_(0.81474220752716064453125), SC_(0.632396042346954345703125), SC_(2149835.420432935738571504824669405535112026843128171823218720145168010286191521063636486128819640379), SC_(2152140.267058834375526429568585141743365314468040624002321395548815791537567896033314059219767174233), SC_(111336.990938262038284792110970236277584339209153903880265239957333478239591138095337997321244983344), SC_(111087.0851343228376540732483260823293660124553023808030297399680696356784984406728076454354233386814) }}, 
+      {{ SC_(490224.65625), SC_(0.8350250720977783203125), SC_(0.9688708782196044921875), SC_(2474059.781112585100225923474277388945644841132414541483235018154724374112161333898186161710511319547), SC_(2488521.187172101754693537105176727049011115863706614369301342646676606307103207412127159070864309253), SC_(97489.16520339287822299971952377074411630970076546169823169145986944645114749814051528899672166177443), SC_(96219.21150955986998802274923363974940278386581612184471409847771598317921003666209856647350389402225) }}, 
+      {{ SC_(492616.1875), SC_(0.81474220752716064453125), SC_(0.9688708782196044921875), SC_(2160097.330587066231445009615179450496605337977400732745848956148755035070499897025280043407966765649), SC_(2172849.060248862788069481343937878596794903922837153025629325486461452111332884974573767684987699383), SC_(112704.513279915547893306409021394612149255526474732330209037454571458216341356862770454420824870536), SC_(111321.8919149126350976334581215168831576517722380867094186255880986306392649715612321977436708934672) }}, 
+      {{ SC_(493067.15625), SC_(0.1355634629726409912109375), SC_(0.9688708782196044921875), SC_(76767.64922907893070937377260795058987611362823891825524085896234884328550113407276897167228036558757), SC_(77882.89867960827431192138690174915177255321134308258910288268085009341055734572331426861469361693711), SC_(3153086.514367219226967064126240311772170736384107525381665234442715424152190338059638973443194990823), SC_(3135128.509847232411063129274533589230908159139891303513987728335691375301577612946664126754477170654) }}, 
+      {{ SC_(497097.0), SC_(0.12707412242889404296875), SC_(0.1355634629726409912109375), SC_(72681.11415387065674957690132016868169191955575858086107661197432136383823238646114474079457781392721), SC_(72047.41954020240893325737182119598226364424389984420063381611270985375436608408806330762383061821211), SC_(3409065.827055807531678961859073645657230358185950103860885952543964343334592856668738573506077026751), SC_(3420475.169677388105656745142209467687699219296898877898752790493449083963329175908034795593158414778) }}, 
+      {{ SC_(497481.8125), SC_(0.3082362115383148193359375), SC_(0.12707412242889404296875), SC_(222314.1253130015627660072636473322752712891751839119915721545837501534862620518004663188386017641378), SC_(221023.1037330142642378955151286775664560624517786400554218612145985519782410506686001446831861587568), SC_(1114311.595597452012343496149547782092708841542094172969811686130629128619077973244337814566303316361), SC_(1118652.146040181182739176928249543706836426766938346914879802716806902165572254306413904435006003401) }}
+   } };
+
diff --git a/src/boost/libs/math/test/ibeta_large_data.ipp b/src/boost/libs/math/test/ibeta_large_data.ipp
new file mode 100644
index 00000000..91b1967d
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_large_data.ipp
@@ -0,0 +1,1219 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1210> ibeta_large_data = { {
+      {{ SC_(0.104760829344741068780422210693359375e-4), SC_(39078.1875), SC_(0.913384497165679931640625), SC_(95444.37547576888548779405522478045372688), SC_(BOOST_MATH_SMALL_CONSTANT(0.4076397251031275963346153642645211144346e-41521)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4270966445860582673748568606264586002504e-41526)) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.0226620174944400787353515625), SC_(0.1355634629726409912109375), SC_(88703.20318198098901713372585734808194292), SC_(45.9460483635769831377505786833842050448), SC_(0.9994822930837981780736860587426162687504), SC_(0.0005177069162018219263139412573837312496096) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.03654421865940093994140625), SC_(0.9688708782196044921875), SC_(87893.29210911967129223056449206866305889), SC_(24.13233514927218107101077084629346084654), SC_(0.999725511349976252733137998478545702411), SC_(0.0002744886500237472668620015214542975889712) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.00244517601095139980316162109375), SC_(0.1355634629726409912109375), SC_(87498.94901523223439182946063290895919618), SC_(410.8174698800966982396187764410683048418), SC_(0.9953268278792474174353255397883295739773), SC_(0.004673172120752582564674460211670426022665) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.015964560210704803466796875), SC_(0.3082362115383148193359375), SC_(84409.76586511709213323237371074024560834), SC_(63.42758275377907514602214367744158071269), SC_(0.9992491395179357013663738064942314292026), SC_(0.000750860482064298633626193505768570797446) }}, 
+      {{ SC_(0.1215800511999987065792083740234375e-4), SC_(24110.49609375), SC_(0.1355634629726409912109375), SC_(82239.66859351932879196086451784571067159), SC_(0.1228963536503215267489197519054078145969e-1528), SC_(1.0), SC_(0.1494368298804234679967895435418141236754e-1533) }}, 
+      {{ SC_(0.130341722979210317134857177734375e-4), SC_(26168.341796875), SC_(0.12707412242889404296875), SC_(76710.65536325700740870385917451316226344), SC_(0.8987481009726700678494101665597031705645e-1548), SC_(1.0), SC_(0.1171607903382812021950729983554623721701e-1552) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.04976274073123931884765625), SC_(0.632396042346954345703125), SC_(72019.23463150248088958543324182892626471), SC_(19.53662131349699149968802706905083676178), SC_(0.9997288040735046086759949196286322002492), SC_(0.0002711959264953913240050803713677997508421) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.3188882328686304390430450439453125e-4), SC_(0.81474220752716064453125), SC_(71935.56143195648321209894597982190925135), SC_(31357.46843093207518473308985368320533006), SC_(0.6964222225589077802406713530999497187926), SC_(0.3035777774410922197593286469000502812074) }}, 
+      {{ SC_(0.14759907571715302765369415283203125e-4), SC_(2.8241312503814697265625), SC_(0.632396042346954345703125), SC_(67749.64468000029269520566988398084664291), SC_(0.02906706447901268252429885336709779665611), SC_(0.9999995709637719063997441118286889404404), SC_(0.4290362280936002558881713110595595793096e-6) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.4875471131526865065097808837890625e-4), SC_(0.221111953258514404296875), SC_(66314.05927892349341973416366818795267336), SC_(20512.09739510432080805623001488366337009), SC_(0.763756704421306309320206420222803196485), SC_(0.236243295578693690679793579777196803515) }}, 
+      {{ SC_(0.1519624856882728636264801025390625e-4), SC_(16177.537109375), SC_(0.81474220752716064453125), SC_(65795.44709267135893551075697872372424105), SC_(BOOST_MATH_SMALL_CONSTANT(0.2027537374480409874707652773038782413935e-11849)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.3081577014933374612265415972232266786926e-11854)) }}, 
+      {{ SC_(0.1554497794131748378276824951171875e-4), SC_(40.46924591064453125), SC_(0.905801355838775634765625), SC_(64325.19244254056356455961240584532088293), SC_(0.822463871000651749828830546797984530393e-43), SC_(1.0), SC_(0.1278603047686689558334345413308146407234e-47) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.000101913392427377402782440185546875), SC_(0.81474220752716064453125), SC_(63795.48621858577102490380365796969496633), SC_(9810.772055381842015487811747997830665087), SC_(0.8667128001689005026050394523916069667826), SC_(0.1332871998310994973949605476083930332174) }}, 
+      {{ SC_(0.15971760149113833904266357421875e-4), SC_(19.206241607666015625), SC_(0.913384497165679931640625), SC_(62607.00088023805345936256566188949995708), SC_(0.2234001688321881800710378923972526401497e-21), SC_(0.9999999999999999999999999964317062678097), SC_(0.3568293732190334165134476285535997648472e-26) }}, 
+      {{ SC_(0.16304524251609109342098236083984375e-4), SC_(0.00039033559733070433139801025390625), SC_(0.12707412242889404296875), SC_(61330.74255992408673684618143646855164824), SC_(2563.824473817131717490401647850652347432), SC_(0.9598741396516039259205408266092071862094), SC_(0.04012586034839607407945917339079281379055) }}, 
+      {{ SC_(0.16487292668898589909076690673828125e-4), SC_(470997.15625), SC_(0.12707412242889404296875), SC_(60639.13353449960017258664254772876309268), SC_(BOOST_MATH_SMALL_CONSTANT(0.5384739990831595984009356761636892828401e-27804)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.887997515295636614071071990663640203201e-27809)) }}, 
+      {{ SC_(0.165044693858362734317779541015625e-4), SC_(3.57584381103515625), SC_(0.3082362115383148193359375), SC_(60587.77026541341888225085862457381274413), SC_(0.1732225036748861524733225741802535443988), SC_(0.9999971409740337294746579825837771947623), SC_(0.2859025966270525342017416222805237665672e-5) }}, 
+      {{ SC_(0.166259487741626799106597900390625e-4), SC_(147818.875), SC_(0.632396042346954345703125), SC_(60134.46375982525806101037989862809783137), SC_(BOOST_MATH_SMALL_CONSTANT(0.1037988440880944042360986327562736779854e-64249)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1726112408728927999761612396367365655052e-64254)) }}, 
+      {{ SC_(0.16847467122715897858142852783203125e-4), SC_(0.002207652665674686431884765625), SC_(0.9688708782196044921875), SC_(59359.52475707738611546412137293027748567), SC_(449.5447623669572666846242510916839845304), SC_(0.9924836690157701392419526809332561139692), SC_(0.007516330984229860758047319066743886030786) }}, 
+      {{ SC_(0.1747490387060679495334625244140625e-4), SC_(0.26349246501922607421875), SC_(0.632396042346954345703125), SC_(57225.14946260528992955268005621257633375), SC_(3.201269200695144242963625771809339374153), SC_(0.9999440614807213732173180138063205712752), SC_(0.5593851927862678268198619367942872477437e-4) }}, 
+      {{ SC_(0.17863809262053109705448150634765625e-4), SC_(439.38714599609375), SC_(0.8350250720977783203125), SC_(55972.44090864893014330138933206516204433), SC_(0.3791074904984294581987640686637822179263e-346), SC_(1.0), SC_(0.6773109843774015299501716456463481210658e-351) }}, 
+      {{ SC_(0.1895247623906470835208892822265625e-4), SC_(1.07109558582305908203125), SC_(0.9688708782196044921875), SC_(52763.41949943324228341686952963434540238), SC_(0.02308304962964954759921229436647956617731), SC_(0.9999995625181280852782419366072564332654), SC_(0.4374818719147217580633927435667345739681e-6) }}, 
+      {{ SC_(0.19740999050554819405078887939453125e-4), SC_(105.41565704345703125), SC_(0.3082362115383148193359375), SC_(50650.76748327468387622526146707985788856), SC_(0.4058462091652395705622130232256784578791e-18), SC_(0.999999999999999999999991987363087849489), SC_(0.8012636912150510965168560289672323749562e-23) }}, 
+      {{ SC_(0.2004335328820161521434783935546875e-4), SC_(482.00701904296875), SC_(0.905801355838775634765625), SC_(49885.0975467399541005594058055485920959), SC_(0.6952488973381382600133321305803386175123e-497), SC_(1.0), SC_(0.1393700587007418889673088312510010012273e-501) }}, 
+      {{ SC_(0.2017128645093180239200592041015625e-4), SC_(232.9792938232421875), SC_(0.1355634629726409912109375), SC_(49569.39447695058637088307802861825336459), SC_(0.5613839078401083563926364753233791797764e-16), SC_(0.9999999999999999999988674787865299668824), SC_(0.1132521213470033117556444752410328436421e-20) }}, 
+      {{ SC_(0.20203804524498991668224334716796875e-4), SC_(42.8336334228515625), SC_(0.1355634629726409912109375), SC_(49491.30543730291452299570686539488489706), SC_(0.0002970093232930177329636992017779607619212), SC_(0.9999999939987575820392696584870441824195), SC_(0.6001242417960730341512955817580536150083e-8) }}, 
+      {{ SC_(0.20300331016187556087970733642578125e-4), SC_(42.38938140869140625), SC_(0.9688708782196044921875), SC_(49255.96842848213676438936988840982061108), SC_(0.3254102070311191847990477740588760715854e-65), SC_(1.0), SC_(0.660651322902325825501909533025783367306e-70) }}, 
+      {{ SC_(0.2051885167020373046398162841796875e-4), SC_(236087.890625), SC_(0.8350250720977783203125), SC_(48722.72335464117531549642945589803667543), SC_(BOOST_MATH_SMALL_CONSTANT(0.3623657681223884685762672034466978337415e-184763)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.7437305289460397760237525357326064309497e-184768)) }}, 
+      {{ SC_(0.21041001673438586294651031494140625e-4), SC_(3.8230969905853271484375), SC_(0.12707412242889404296875), SC_(47523.85310963552184634237668034540815544), SC_(0.6195869439847247414271234613685101142876), SC_(0.9999869627813034247834524610650576290292), SC_(0.1303721869657521654753893494237097084781e-4) }}, 
+      {{ SC_(0.2107691761921159923076629638671875e-4), SC_(0.04489715397357940673828125), SC_(0.221111953258514404296875), SC_(47443.99666807844164422517130961809149441), SC_(23.47266252209839487239051712128153957277), SC_(0.999505500022370764381415753210237199735), SC_(0.0004944999776292356185842467897628002650075) }}, 
+      {{ SC_(0.21139929231139831244945526123046875e-4), SC_(0.17535277947899885475635528564453125e-4), SC_(0.8350250720977783203125), SC_(47305.46963235175970278465413513213767625), SC_(57026.27394012006075825157468938510447443), SC_(0.4534139659948462776784686703995923371492), SC_(0.5465860340051537223215313296004076628508) }}, 
+      {{ SC_(0.21433561414596624672412872314453125e-4), SC_(3719.279052734375), SC_(0.81474220752716064453125), SC_(46647.00459679377138587098836772819692673), SC_(0.1495926352972579290785339523472754005755e-2726), SC_(1.0), SC_(0.3206907637270668567387926794334274553413e-2731) }}, 
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+      {{ SC_(481669.8125), SC_(360.35894775390625), SC_(0.8350250720977783203125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1292404819014634354658936369356745477441e-38001)), SC_(0.1184119790891173687044477395438058404198e-1283), SC_(BOOST_MATH_SMALL_CONSTANT(0.1091447697231683701613307519286097336645e-36717)), SC_(1.0) }}, 
+      {{ SC_(485412.125), SC_(483725.21875), SC_(0.81474220752716064453125), SC_(BOOST_MATH_SMALL_CONSTANT(0.8593009078995238625969168132860357389775e-291741)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4682031506788712249402837988058297965792e-397392)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.544865187939051001712434628531605526675e-105651)) }}, 
+      {{ SC_(489093.59375), SC_(101.60869598388671875), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2679049247465053509778519007374647739724e-320562)), SC_(0.1239584973345346670544577370734255574289e-418), SC_(BOOST_MATH_SMALL_CONSTANT(0.2161246953675901063139086740469757800594e-320143)), SC_(1.0) }}, 
+      {{ SC_(489183.34375), SC_(118808.328125), SC_(0.905801355838775634765625), SC_(BOOST_MATH_SMALL_CONSTANT(0.1458359410123570793275225181353576621217e-130434)), SC_(BOOST_MATH_SMALL_CONSTANT(0.259453747115697820698795192063284012701e-142915)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1779079596666185278653733063531830995884e-12480)) }}, 
+      {{ SC_(491651.625), SC_(32.955524444580078125), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.1033057257566332368173504705063859426151e-251301)), SC_(0.603837473523874333668117011509794982175e-152), SC_(BOOST_MATH_SMALL_CONSTANT(0.1710820051524158477748585452714475118872e-251149)), SC_(1.0) }}, 
+      {{ SC_(499024.09375), SC_(0.3617647588253021240234375), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1198688160746637782814955712359261486421e-327059)), SC_(0.0213597393543653960374826366383814420494), SC_(BOOST_MATH_SMALL_CONSTANT(0.5611904437877215617130419280865220458283e-327058)), SC_(1.0) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/ibeta_small_data.ipp b/src/boost/libs/math/test/ibeta_small_data.ipp
new file mode 100644
index 00000000..abac66f5
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_small_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 500> ibeta_small_data = { {
+      {{ SC_(0.011510574258863925933837890625), SC_(2.726669788360595703125), SC_(0.913345992565155029296875), SC_(85.50804647765112454526520766832090120908), SC_(0.0004969774007283958673037601318581948437309), SC_(0.9999941879795790272650838125485136788379), SC_(0.5812020420972734916187451486321162137375e-5) }}, 
+      {{ SC_(0.0463422574102878570556640625), SC_(0.34317314624786376953125), SC_(0.24176712334156036376953125), SC_(20.36367089471426800179696837574809289039), SC_(3.630773740238788693031723031598949317136), SC_(0.8486827348798151491124959025982318049325), SC_(0.1513172651201848508875040974017681950675) }}, 
+      {{ SC_(0.06715317070484161376953125), SC_(2.30631923675537109375), SC_(0.908442795276641845703125), SC_(13.78727207173260438424514878253152024011), SC_(0.001859217475218142037637565734833320618317), SC_(0.9998651679038930266805148691555636600556), SC_(0.0001348320961069733194851308444363399443688) }}, 
+      {{ SC_(0.1190207004547119140625), SC_(7.26954746246337890625), SC_(0.19963125884532928466796875), SC_(6.225047194692518378537141946282961080975), SC_(0.08420413075357450486624447742592649170405), SC_(0.9866538632858121421788318729611834919717), SC_(0.01334613671418785782116812703881650802825) }}, 
+      {{ SC_(0.1540344059467315673828125), SC_(4.049813747406005859375), SC_(0.3462987840175628662109375), SC_(4.872033861103043731550905432482222659763), SC_(0.08561968850485947325255754361164029251743), SC_(0.9827297959310547093553196782752749843992), SC_(0.01727020406894529064468032172472501560077) }}, 
+      {{ SC_(0.15487124025821685791015625), SC_(8.16117000579833984375), SC_(0.678767263889312744140625), SC_(4.38038087876606402301557100951561214911), SC_(0.1540537895441550779731794373253219559374e-4), SC_(0.999996483108386751271915947803000461492), SC_(0.3516891613248728084052196999538507955892e-5) }}, 
+      {{ SC_(0.2251259386539459228515625), SC_(0.4898320138454437255859375), SC_(0.79967319965362548828125), SC_(4.764013990849157580013322088552892632018), SC_(0.9820281524501242644370508756885101403883), SC_(0.8290948573018540323461920074910160298235), SC_(0.1709051426981459676538079925089839701765) }}, 
+      {{ SC_(0.2867415249347686767578125), SC_(5.96057987213134765625), SC_(0.575251102447509765625), SC_(1.911839728052784613470170990261300207059), SC_(0.001412230939458232329324385634994224021816), SC_(0.9992618688130328170087283879882410324961), SC_(0.0007381311869671829912716120117589675039269) }}, 
+      {{ SC_(0.2922028005123138427734375), SC_(2.659206867218017578125), SC_(0.4733414947986602783203125), SC_(2.306780982820498015018593188560459962841), SC_(0.09785807660771959252183084474688989446611), SC_(0.9593044635018992897241131636398162350677), SC_(0.04069553649810071027588683636018376493234) }}, 
+      {{ SC_(0.30540943145751953125), SC_(4.23978328704833984375), SC_(0.546926796436309814453125), SC_(1.925766552541500211935789109529683925689), SC_(0.01136621113828240461645649770280082638802), SC_(0.9941324563027414190664847981329029657831), SC_(0.005867543697258580933515201867097034216903) }}, 
+      {{ SC_(0.318328440189361572265625), SC_(3.1655042171478271484375), SC_(0.077649272978305816650390625), SC_(1.337499870967964297403057650377070193563), SC_(0.6794195418585711764434318012650276929832), SC_(0.6631399660602084538462156083737590843824), SC_(0.3368600339397915461537843916262409156176) }}, 
+      {{ SC_(0.326008260250091552734375), SC_(0.625432431697845458984375), SC_(0.743158161640167236328125), SC_(3.078454179457483361692247221422692039972), SC_(0.7360974885092882497469458885357603771633), SC_(0.8070290947450602569822924525981547293294), SC_(0.1929709052549397430177075474018452706706) }}, 
+      {{ SC_(0.3360383510589599609375), SC_(5.28920650482177734375), SC_(0.81474220752716064453125), SC_(1.550409503660757234080944256429985207784), SC_(0.2836427788609597588510100729645041742761e-4), SC_(0.9999817056339550018928818220116909157891), SC_(0.1829436604499810711817798830908421094105e-4) }}, 
+      {{ SC_(0.344460785388946533203125), SC_(6.63605499267578125), SC_(0.096544884145259857177734375), SC_(1.138099220831291561221229605806786314538), SC_(0.2341007981779031558780678617792900307434), SC_(0.8293974676177770014617748040947131716032), SC_(0.1706025323822229985382251959052868283968) }}, 
+      {{ SC_(0.3571167886257171630859375), SC_(3.6129398345947265625), SC_(0.046266771852970123291015625), SC_(0.9053135817270937856051949826437502245961), SC_(0.7221758562362922538389449085733137575244), SC_(0.5562638752728180895224241888333329380732), SC_(0.4437361247271819104775758111666670619268) }}, 
+      {{ SC_(0.357627332210540771484375), SC_(8.064510345458984375), SC_(0.92886126041412353515625), SC_(1.197177044295353240338824861021333896969), SC_(0.7152754878374974083055684082879234042397e-10), SC_(0.9999999999402531571079558956505173243843), SC_(0.597468428920441043494826756157346017527e-10) }}, 
+      {{ SC_(0.377388656139373779296875), SC_(8.8396854400634765625), SC_(0.50323975086212158203125), SC_(1.048244561726343473675201855489355128708), SC_(0.0003378999437661089518583588179790252882915), SC_(0.999677755487891791262427317664954237941), SC_(0.0003222445121082087375726823350457620590389) }}, 
+      {{ SC_(0.424311339855194091796875), SC_(8.71805095672607421875), SC_(0.594544112682342529296875), SC_(0.8450634150576302527396320143587314116559), SC_(0.5692485563137910015348490929019764830298e-4), SC_(0.9999326428995458545641785392037209582211), SC_(0.6735710045414543582146079627904177891161e-4) }}, 
+      {{ SC_(0.4302380084991455078125), SC_(9.08433628082275390625), SC_(0.3500487506389617919921875), SC_(0.8041671576172428143402874467426430937693), SC_(0.003657242502533209987243300892131746946366), SC_(0.995472725877070621917637160657188675184), SC_(0.004527274122929378082362839342811324816028) }}, 
+      {{ SC_(0.4617138803005218505859375), SC_(1.49113976955413818359375), SC_(0.081217654049396514892578125), SC_(0.6708426431384324314892486199862307536228), SC_(1.06148098502757264044386168615001572695), SC_(0.3872501836441769856742304061740122471689), SC_(0.6127498163558230143257695938259877528311) }}, 
+      {{ SC_(0.4965442717075347900390625), SC_(8.234554290771484375), SC_(0.3013162314891815185546875), SC_(0.6255445999459755311064947246119255484269), SC_(0.01047121638037352884799746710410909796172), SC_(0.9835362327294694289867309219284499434766), SC_(0.01646376727053057101326907807155005652337) }}, 
+      {{ SC_(0.526769936084747314453125), SC_(9.4657726287841796875), SC_(0.695263326168060302734375), SC_(0.5223867123087661970619213259031225900887), SC_(0.1604184643861934563272584858102025314868e-5), SC_(0.9999969291337627338160603638685334704082), SC_(0.3070866237266183939636131466529591820232e-5) }}, 
+      {{ SC_(0.539501190185546875), SC_(3.5276241302490234375), SC_(0.184897840023040771484375), SC_(0.6337086405553985369329386662133114583969), SC_(0.2298885748176341425212030686754049306522), SC_(0.7338011624802040649313396945278096189402), SC_(0.2661988375197959350686603054721903810598) }}, 
+      {{ SC_(0.596188604831695556640625), SC_(9.52472019195556640625), SC_(0.587086021900177001953125), SC_(0.3957027656575689988900171488472459553927), SC_(0.2784518837222712883966491998692226153708e-4), SC_(0.9999296360008322244237915105214427770265), SC_(0.7036399916777557620848947855722297349452e-4) }}, 
+      {{ SC_(0.597795426845550537109375), SC_(4.3524570465087890625), SC_(0.3404516875743865966796875), SC_(0.5857283108172326731547619033650850279516), SC_(0.05176933170314495414753269319008084049281), SC_(0.9187929048671107105645293523464974421304), SC_(0.08120709513288928943547064765350255786955) }}, 
+      {{ SC_(0.604711830615997314453125), SC_(2.7766406536102294921875), SC_(0.65411365032196044921875), SC_(0.8104703643388840470345296228912560465778), SC_(0.02126375318260348616345995572262831556693), SC_(0.9744344343526894636219031995625457203905), SC_(0.02556556564731053637809680043745427960951) }}, 
+      {{ SC_(0.679927647113800048828125), SC_(9.0447483062744140625), SC_(0.887737333774566650390625), SC_(0.3013615312130418242114530511558325766293), SC_(0.2937963547130558679504530467684762405074e-9), SC_(0.999999999025103326081320534896178383616), SC_(0.9748966739186794651038216163839749164796e-9) }}, 
+      {{ SC_(0.688061058521270751953125), SC_(2.9616763591766357421875), SC_(0.815787494182586669921875), SC_(0.6441996486596996003790817490051121624011), SC_(0.0023593844359375506996753278475536050391), SC_(0.9963508599908640401822148000540199843775), SC_(0.003649140009135959817785199945980015622505) }}, 
+      {{ SC_(0.71445453166961669921875), SC_(9.34602642059326171875), SC_(0.5949366092681884765625), SC_(0.2611868075149835081076007360078062823636), SC_(0.2618210260815823472350439860777132136683e-4), SC_(0.9998997672257934489288388082946320821168), SC_(0.0001002327742065510711611917053679178831703) }}, 
+      {{ SC_(0.75854289531707763671875), SC_(4.042085170745849609375), SC_(0.18398940563201904296875), SC_(0.2869641794222026502350604842071731344923), SC_(0.1433368221355461874324336015227538920014), SC_(0.6668917301687721681209003462437186369765), SC_(0.3331082698312278318790996537562813630235) }}, 
+      {{ SC_(0.759666860103607177734375), SC_(7.62421321868896484375), SC_(0.285910427570343017578125), SC_(0.2494067464807902016116972999567207456019), SC_(0.01285822954049965889923791220383840028034), SC_(0.9509723725387721326945071222846981919121), SC_(0.04902762746122786730549287771530180808794) }}, 
+      {{ SC_(0.78175532817840576171875), SC_(8.5445098876953125), SC_(0.2395785152912139892578125), SC_(0.2092181979177349561806385620026173078435), SC_(0.01454489283267034607676299413579126814072), SC_(0.9349986953438432477441465286773755595707), SC_(0.06500130465615675225585347132262444042931) }}, 
+      {{ SC_(0.811257660388946533203125), SC_(3.7941887378692626953125), SC_(0.379480898380279541015625), SC_(0.3489982897256404699956459179424488728876), SC_(0.04918171477157487449577833255024935191165), SC_(0.876483715364670390428440227316937452589), SC_(0.123516284635329609571559772683062547411) }}, 
+      {{ SC_(0.834698200225830078125), SC_(9.0694408416748046875), SC_(0.644353687763214111328125), SC_(0.1803151611837914682987734789219117172738), SC_(0.9959010328687650223890520801118033780347e-5), SC_(0.9999447719190872199805310662295119611992), SC_(0.5522808091278001946893377048803880084592e-4) }}, 
+      {{ SC_(0.83821380138397216796875), SC_(9.12577533721923828125), SC_(0.22599919140338897705078125), SC_(0.1645323980962702319386216945486588491031), SC_(0.01289064037523516697593443936007900173636), SC_(0.9273451718204823928666892977505184246911), SC_(0.07265482817951760713331070224948157530893) }}, 
+      {{ SC_(0.84435856342315673828125), SC_(3.462334156036376953125), SC_(0.2511587440967559814453125), SC_(0.2764659412617420491570801392360458860717), SC_(0.1225038182191884368747109382285656512776), SC_(0.6929496150821833440766199995023216044932), SC_(0.3070503849178166559233800004976783955068) }}, 
+      {{ SC_(0.8551578521728515625), SC_(9.93534755706787109375), SC_(0.47097623348236083984375), SC_(0.156230204191103226500775887222958181338), SC_(0.0001981074086433488391675923367618586808585), SC_(0.9987335578411774548179603749802068600465), SC_(0.001266442158822545182039625019793139953536) }}, 
+      {{ SC_(0.908232867717742919921875), SC_(0.678848326206207275390625), SC_(0.84073317050933837890625), SC_(1.160861004416774987619512191580855025408), SC_(0.4258943431472485997275346962213866620687), SC_(0.7315941970505542617319292810425302688679), SC_(0.2684058029494457382680707189574697311321) }}, 
+      {{ SC_(0.9111347198486328125), SC_(0.862172305583953857421875), SC_(0.95751106739044189453125), SC_(1.185899552667666342813996371641383797478), SC_(0.07629806988531935777484778370164513501807), SC_(0.9395514073850060300319313133177312277542), SC_(0.06044859261499396996806868668226877224576) }}, 
+      {{ SC_(0.942293345928192138671875), SC_(7.764537811279296875), SC_(0.808194696903228759765625), SC_(0.1508102710294228670066826109456423951132), SC_(0.3518058068135974193879013653354450359381e-6), SC_(0.9999976672345740659931913764741265832628), SC_(0.2332765425934006808623525873416737195291e-5) }}, 
+      {{ SC_(0.96454536914825439453125), SC_(2.23419952392578125), SC_(0.3250310420989990234375), SC_(0.2834732098610328524396528653108034866255), SC_(0.190436076037379824356986932760536605902), SC_(0.5981592222309782861598154404834535951026), SC_(0.4018407777690217138401845595165464048974) }}, 
+      {{ SC_(0.96730029582977294921875), SC_(2.896893978118896484375), SC_(0.602882802486419677734375), SC_(0.3423822991371558430034363809431602080871), SC_(0.02405649095246888986382317565418043208486), SC_(0.9343505884118188500531298388527642525024), SC_(0.06564941158818114994687016114723574749757) }}, 
+      {{ SC_(0.971317768096923828125), SC_(9.940685272216796875), SC_(0.0839129984378814697265625), SC_(0.06504707109648754329244702454735921458691), SC_(0.04441883725199691091650283777368267306258), SC_(0.5942221836721104979700277018504213130339), SC_(0.4057778163278895020299722981495786869661) }}, 
+      {{ SC_(0.975403964519500732421875), SC_(5.472205638885498046875), SC_(0.01363777182996273040771484375), SC_(0.01507880323004283665619215274236779141942), SC_(0.1786982587181325975438620221056624556374), SC_(0.07781521238089354585457864638797415249968), SC_(0.9221847876191064541454213536120258475003) }}, 
+      {{ SC_(0.987122833728790283203125), SC_(7.66854095458984375), SC_(0.5060064792633056640625), SC_(0.1344070858100725893412090975881710295211), SC_(0.0005885866608641503352046318734400675414602), SC_(0.9956399590439399652567966381947768119441), SC_(0.004360040956060034743203361805223188055887) }}, 
+      {{ SC_(1.056292057037353515625), SC_(6.812713623046875), SC_(0.82583439350128173828125), SC_(0.1273249881224593174456085109406883283434), SC_(0.9807107058749212025388445092701407127597e-6), SC_(0.9999922976379849114418469705444366389974), SC_(0.7702362015088558153029455563361002570531e-5) }}, 
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+      {{ SC_(9.7974834442138671875), SC_(3.546381473541259765625), SC_(0.43892610073089599609375), SC_(0.8846383934988994958104111659144072787642e-5), SC_(0.0006942444162306305791078085627402992944978), SC_(0.01258213581077315616174240184063815608328), SC_(0.9874178641892268438382575981593618439167) }}, 
+      {{ SC_(9.816379547119140625), SC_(4.97869396209716796875), SC_(0.7558143138885498046875), SC_(0.8471586497414725426535462974925383298225e-4), SC_(0.2600787706776670771042095868990896095329e-4), SC_(0.7651102050188879474911089577484436075733), SC_(0.2348897949811120525088910422515563924267) }}, 
+      {{ SC_(9.82663440704345703125), SC_(8.9943599700927734375), SC_(0.79222810268402099609375), SC_(0.2564909668495030018187514949876471506381e-5), SC_(0.1328272157019951695723866392922830834089e-7), SC_(0.9948480487253848974511529374575346247921), SC_(0.005151951274615102548847062542465375207862) }}, 
+      {{ SC_(9.83052539825439453125), SC_(5.54380321502685546875), SC_(0.711244642734527587890625), SC_(0.4142099063694028106257790388260333526588e-4), SC_(0.1706128131291109079313412403482492307802e-4), SC_(0.7082657573983930918019463517369821910095), SC_(0.2917342426016069081980536482630178089905) }}, 
+      {{ SC_(9.84063720703125), SC_(2.9338824748992919921875), SC_(0.679551780223846435546875), SC_(0.0003620677940926280979183654032292271566579), SC_(0.001398063860838349825529157603027032578726), SC_(0.2057049500122911434857054575556857430709), SC_(0.7942950499877088565142945424443142569291) }}, 
+      {{ SC_(9.8798198699951171875), SC_(7.69243144989013671875), SC_(0.498594343662261962890625), SC_(0.2102276377997196459781769309658523199559e-5), SC_(0.5090672027747954852585150635916233053816e-5), SC_(0.2922690751289229878585770869253518082993), SC_(0.7077309248710770121414229130746481917007) }}, 
+      {{ SC_(9.9613475799560546875), SC_(4.475843906402587890625), SC_(0.2373598515987396240234375), SC_(0.2596148971864002645551220232138375643592e-7), SC_(0.0001912089032647389537199491735362492125718), SC_(0.0001357570950881480228485230092737049890207), SC_(0.999864242904911851977151476990726295011) }}, 
+      {{ SC_(9.9908046722412109375), SC_(6.74212932586669921875), SC_(0.73282539844512939453125), SC_(0.1400972426630799368521044086815964034595e-4), SC_(0.1993917002921952527694349144803786583093e-5), SC_(0.8754085417575787330833090864097798601476), SC_(0.1245914582424212669166909135902201398524) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/igamma_big_data.ipp b/src/boost/libs/math/test/igamma_big_data.ipp
new file mode 100644
index 00000000..70aeab65
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_big_data.ipp
@@ -0,0 +1,295 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 287> igamma_big_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655441178896580822765827178955078125e-7), SC_(-1.0), SC_(0.2993117912029903240422582053899047098779533956541385552546168739467202263345519375546082579259835689e-4), SC_(577797.90391619920649973095027584836128926282155274216943338008435801586707772349755359609709258809), SC_(0.9999700688208797009675957741794610095290122046604345861444745383126053279773665448062442806862583006) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.8653277063785935752093791961669921875e-6), SC_(13.38277582367555562294055416847373915500263659346494217875993623821221196887112446988546507684731302), SC_(0.2316099655383339755405731669847576162961123204586203558223557251327214945205980959748823352959805302e-4), SC_(577801.8158305834504756449335090514614341009677858339594077124115869397920785194231187741120056354752), SC_(0.9999768390034461666024459426833015242383703887679541379644177644274867278505479401904023114002150846) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.15575898260067333467304706573486328125e-5), SC_(12.79500378214091254793715786456975103024623413471734292810881005720669047076428987935745392946724363), SC_(0.2214376467251173939070843604623148303831679646741287024258011317172427658231597089388494422353631048e-4), SC_(577802.4036026249851187199369053553654222257241882927070069630627131207976000175299533646400167828553), SC_(0.9999778562353274882606092915639537685169616832035325871297574198868282757234176840291059234224082336) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(12.68964583907062077871829961486723468135682689673266287978904878277523088091119954467857396528045035), SC_(0.2196142619591161296471772336172777007255716660501426039935550192381060291894820144394071807910637318e-4), SC_(577802.5089605680554104891557636050679385746135955306916870113824743952290596073830436993188967470421), SC_(0.9999780385738040883870352822766382722299274428333949857396006444980761893970810517985558692139197711) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.19037209995076409541070461273193359375e-5), SC_(12.59433798893655043954589862357055470940362305301481664366705173244103638298812628401438143132385277), SC_(0.2179648098442542012919725801196235526752581619134538802152189012490537997981862095991665699048812574e-4), SC_(577802.6042684181894808283281645963646185465667993744095332475044714455632541053061169599830892809987), SC_(0.9999782035190155745798708027419880376447324741838086546119784781098750946200201813790398946910551472) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.346131082551437430083751678466796875e-5), SC_(11.99651588829393824582180456312241868001302147867883382726363976385247472204566448446731588772998297), SC_(0.2076185589653493482621881863527269295135816556729123147246768142978789975019603223353600738511731743e-4), SC_(577803.2020905188320930220522586568127545759574009487455160639078834141518157662485787595301548245925), SC_(0.9999792381441034650651737811813647273070486418344327087685275323185702121002498039677662842228674524) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(100.0), SC_(0.3683627182454331134963955188773865444199332047934531274456895593248745425858894973030111393161584247e-45), SC_(0.6375095690349819561521120606914926108297136245134545709768047316328210161282911224399118544097308838e-51), SC_(577815.1986064071260312678740632199351732559704224270559871729260900645078949694168616600942877298302), SC_(0.9999999999999999999999999999999999999999999999999993624904309650180438478879393085073891702863754865) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.2165750601079707848839461803436279296875e-7), SC_(17.07036298743991829639232909707087901526592903518599127734139540188516463205963663609773648657087723), SC_(0.3697019560232757110772732624480593336583723516402296244222007952690817919777008967240987096315205331e-4), SC_(461716.0286732860299357310725043145832190410385140498351914099753626833373215850444505022444334646984), SC_(0.999963029804397672428892272673755194066634162764835977037557779920473091820802229910327270922330567) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1082875314750708639621734619140625e-5), SC_(13.15847397691465595815267467658117236635160976637264298180412548481293452753278961720297628581992752), SC_(0.2849800892415757764539734483805658830800200360898241591461531657548830413725265774914562236687744426e-4), SC_(461719.9405622965551980693121587350729256899528333186485397055126326004095516895712975211391936654494), SC_(0.9999715019910758424223546026551619434116919979963910175840853846834245116958627473422506079043676802) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1949175612026010639965534210205078125e-5), SC_(12.57070526636212517657129379971158284943858132030323149197288591584777613568565108919579056236543589), SC_(0.2722504687794664306569369785134358990534116641373655972975320770778744429628254055229370221303254972e-4), SC_(461720.5283310071077288508935396119425152068658617647179511953438721693747100814184360491463793889039), SC_(0.9999727749531220533569343063021486564100946588335862634402702467922922125557037174594474707528583518) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(12.46534797873423664682712357366176987162472172738379809193584747614716729169916499965524978602165451), SC_(0.2699686898069866664183548452276314691424700035617881842498407894456650352425582613848998322249744459e-4), SC_(461720.6336882947356173806377098379923281846797213576373845953809106090753189254049221386869201652476), SC_(0.9999730031310193013333581645154772368530857529996438211815750159210554334964757441738612764307485453) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.2382325646976823918521404266357421875e-5), SC_(12.37004071696991805388122752478307298700621276058091950265758048467078476384585545609003052590305182), SC_(0.2679045696050075721547716691574204592244930158617242358470809118887179680331039379286281767451411551e-4), SC_(461720.7289955564999359735836058868710250692982303244402631846591776005517014532582316822521394253662), SC_(0.9999732095430394992427845228330842579540775506984138275764152919088111282031966896062069053683368566) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.43315012590028345584869384765625e-5), SC_(11.77222202288641210205964167726460731035184670773110091246245945382178746024664362553109279728970161), SC_(0.2549572912892171401404180030095052432599185661069912133627122154282800848058328121324720391504851142e-4), SC_(461721.3268142505834419254051917343894907459525963772900817748542986314006987568574435128110771539796), SC_(0.9999745042708710782859859581996990494756740081433893008786637287784571719915194167187865320972916923) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(100.0), SC_(0.3683634579017030862943995949753137846949736979296757741127256914376144677962154307133740093495808363e-45), SC_(0.7977843881466350722692047722021738976382706440159930605192038431116437783506465250207545631610617926e-51), SC_(461733.0990362734698540274648334116540980563044430846528192294150549989280866221287773176113335726772), SC_(0.999999999999999999999999999999999999999999999999999202215611853364927730795227797826102361729355984) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.7270019608540678746066987514495849609375e-7), SC_(15.85873131324027603680994500593701083673995551510827497457378784799406402441597983944788065984676601), SC_(0.0001152937700708314574190375921633958573930633611632172214032709001883959995018869165672190219989383104), SC_(137534.7765154773198155043727784530103263311602038221971826660153368209797591918890572085146268195923), SC_(0.9998847062299291685425809624078366041426069366388367827785967290998116040004981130834317859606150677) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.363500976163777522742748260498046875e-5), SC_(11.94712370377855206849356853972802387128008268591504291389545599044297977188193456270625002844103574), SC_(0.868561870495419015631694962376837056380169046553848836742030704855372577688384839675927895023169524e-4), SC_(137538.688123086781539472689154919219313296620076651390414726693668678530843444423102485256257450998), SC_(0.9999131438129504580984368305037623162943619830953446151163257969295144627422311615160316563336632746) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.654301766189746558666229248046875e-5), SC_(11.35939219617933366143120008086493854405691096926337486689608980095578074772077473924953323650483309), SC_(0.8258334958467143799950171794348266133126127344865110178937324906877842427949992341364148713573494716e-4), SC_(137539.2758545943807578797515233780823986238432483680420827736930348680180424685842623087129742429342), SC_(0.9999174166504153285620004982820565173386687387265513488982106267509312215757205000765856443189256825) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(11.25404152411781013189063221030791950069213486896481451201744166449599357258178579846150790743580515), SC_(0.8181744492801532375947886460140903722510746521679776491443785314602565395703504194717704954065827439e-4), SC_(137539.3812052664422814092920912486394176672080244683406431285716830044778296437232512495009995720032), SC_(0.9999181825550719846762405211353985909627748925347832022350855621468539743460429649580521153319173109) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.7997021384653635323047637939453125e-5), SC_(11.15874024755388081703378542276070157549981458020172273054652486564002395885863126609049696032298202), SC_(0.8112459987940510325956129320339107435160215638035605125726023380005315176840924661421761839904966304e-4), SC_(137539.476506543006210724148938036186635592400344757103734910042599803333799257446405781872010519116), SC_(0.9999188754001205948967404387067966089256483978436196439487427397661999468482315907533850807112287131) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.14540039046551100909709930419921875e-4), SC_(10.56095948655061168623605418003161853323578819344933772554926100916849496396397890725434425870422914), SC_(0.767787038395159161757367222671493221399764679021626603575413867936745207659445426399210347886488265e-4), SC_(137540.0742873040094798549466692789157186346643711438561199150398636598053282523410581407081632207348), SC_(0.9999232212961604840838242632777328506778600235320978373396424586132063254792340554573594146049528292) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(100.0), SC_(0.3683721352040578625035542191213058231001385172015235695102827758219171635643319097964745619715389846e-45), SC_(0.2678083852852675296525747931813028293308341797284316939479666731722330013321908997535126058327254522e-50), SC_(137550.635246790560091541182723458947337167900159336937085505385066806470268997183732405754158996547), SC_(0.9999999999999999999999999999999999999999999999999973219161471473247034742520681869717066916582027157) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000005421621608547866344451904296875e-6), SC_(15.20267805917854753815628244090214839667049079013284121307207600981527369429051379479050029246563141), SC_(0.000212839284799294089771515202962972979787263184811743923962510356993572455648372128284605839985121416), SC_(71412.76736757672594226777131614926452425899670482796435759812610549247602601578025739683076592211497), SC_(0.9997871607152007059102284847970370270202127368151882560760374896430064275443516278717135571888613995) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.70000023697502911090850830078125e-5), SC_(11.29141909326230883966958875900019584358646658107430454213881289111615105204428414548153264983317026), SC_(0.0001580811982483630764639288404865989626895654210675549296284020672607670587485524042452843453497320055), SC_(71416.67862654264218096625800983116647681208072903702289426905936861117514865802648704613973356474743), SC_(0.9998419188017516369235360711595134010373104345789324450703715979327392329412514475957533488014886493) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.126000040836515836417675018310546875e-4), SC_(10.70373329082055239449657483518606481142874325545821945131987913327529111609288538115779787067004457), SC_(0.0001498535277424495070345925587342959337960485628714949943651616208608914719572016270715187995841055091), SC_(71417.26631234508393741143102375498060784423845236263897935987830236901600859397788581046346834391056), SC_(0.9998501464722575504929654074412657040662039514371285050056348383791391085280427983729271849847834439) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(10.59839072270521094524351095575880524386997946950893653234037834073484898520661255840222881734977303), SC_(0.0001483787193718905056334122230314149572977420671679956361699029601390606768301478556951013052574995591), SC_(71417.37165491319927886068408763440786741179721614858826227885780316155645072486415863321903739723083), SC_(0.9998516212806281094943665877769685850427022579328320043638300970398609393231698521443036151408736946) }}, 
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+      {{ SC_(513669.1875), SC_(51366920.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.8455141442594780273582857781742586590386122698859368213816566938022783163150883258176324338235587287e-18347637)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8234759069615652019245476397172569750885541471334500479714655987220876801411179354025002722103325368e-21057953)), SC_(0.1026762455478787231848021279669200901989201648818956533640028599511278074166334792418412467632444988), SC_(1.0) }}, 
+      {{ SC_(788352.3125), SC_(1.0), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0), SC_(0.4666440397038730095030131088923330001395921365337505093937538015695853474965515882892883491065022498e-6), SC_(BOOST_MATH_SMALL_CONSTANT(0.1433908471829622508376220400714432285652733465995812102127318484064704211691023381454450301792300023e-4306319)) }}, 
+      {{ SC_(788352.3125), SC_(394176.15625), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0), SC_(0.2006257520633973004844236201403980302780110902909388684784270381180202010418543872474966575049005566), SC_(BOOST_MATH_SMALL_CONSTANT(0.6164848172783960800240480360461358265727377175617248578986815365384881763390067655148178076072402911e-66132)) }}, 
+      {{ SC_(788352.3125), SC_(788350.3125), SC_(0.162961216861866486196123635890099179907765436181771479621640418745608625572387287597608545912315394), SC_(0.5007488568506734531584407973208886646226494394047062415392632213315407911442369980288546641886893887), SC_(0.1624738083656850062172671442384129180894308808036804291026031361346630666772952933350920757512800554), SC_(0.4992511431493265468415592026791113353773505605952937584607367786684592088557630019711453358113106113) }}, 
+      {{ SC_(788352.3125), SC_(788352.3125), SC_(0.1626687717822932899593035312904247710866671194963517534486901004447793852560311314241268483442598936), SC_(0.4998502286855928443434206403315169955579486533591805378314370596112904256380207126657714482687295139), SC_(0.1627662534452582024540872488380873269105291974891001552755534544354923069936514495085737733193355558), SC_(0.5001497713144071556565793596684830044420513466408194621685629403887095743619792873342285517312704861) }}, 
+      {{ SC_(788352.3125), SC_(788354.3125), SC_(0.1623763274446328985015387393773169322760017933096679464665287143383813538555079409462603516012733209), SC_(0.4989516028002693214791004285569604766689865869988938477436476252444986636812350914588652370815612146), SC_(0.1630586977829185939118520407511951657211945236757839622577148405418903383941746399864402700623221286), SC_(0.5010483971997306785208995714430395233310134130011061522563523747555013363187649085411347629184387854) }}, 
+      {{ SC_(788352.3125), SC_(1576704.625), SC_(0.62966881391456604663265189232296651965212021691993178179931323658375951801607008550560163062833006), SC_(BOOST_MATH_SMALL_CONSTANT(0.1934852628337369167484390536774609470572595166386051921886173923840391906771189648683653522231175771e-105062)), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0) }}, 
+      {{ SC_(788352.3125), SC_(78835232.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4164740077948943840500786922849307561907212018086545639004814350805550398839532201156819761152062039e-28012316)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1279745496059271390694582975257723346837265207507390129414161314216004095755396957400977650588924393e-32318629)), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0) }}, 
+      {{ SC_(1736170.0), SC_(1.0), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0), SC_(0.2118914928047443977144200433110895948573532788053230331876929560838004923241637943455403176192920957e-6), SC_(BOOST_MATH_SMALL_CONSTANT(0.1678638954845296242754981240024346426980228514280855063671268705695352948287648087179192945942541815e-10078987)) }}, 
+      {{ SC_(1736170.0), SC_(868085.0), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0), SC_(0.1448940961583454163407547513975813077281954384418820421315934004081116003090269523192520567562712675), SC_(BOOST_MATH_SMALL_CONSTANT(0.1147874654706537747553860317681134464810452807999399860509102977323900833593912850990760752412482674e-145637)) }}, 
+      {{ SC_(1736170.0), SC_(1736168.0), SC_(0.6317777290022475594523330311129906002358832226132013915031845078518775760353610272181933223363237277), SC_(0.500504618033028326360191641057343755999405997498206839871815176619438983969420893139030447209664989), SC_(0.6305037889687944450359199539867683474985226650229812801702613966546458595016893892268912941388886983), SC_(0.499495381966971673639808358942656244000594002501793160128184823380561016030579106860969552790335011) }}, 
+      {{ SC_(1736170.0), SC_(1736170.0), SC_(0.6310133650036994505936467834743236622047002119530026486269595591827934240774463130132409395432514033), SC_(0.49989907641044580817879562048675209725080620507540160516376663057508236554638837205467803575236936), SC_(0.6312681529673425538946062016254352855297056756831800230464863453237300114596041034318436769319610226), SC_(0.50010092358955419182120437951324790274919379492459839483623336942491763445361162794532196424763064) }}, 
+      {{ SC_(1736170.0), SC_(1736172.0), SC_(0.63024900188566778658967343804876836928228054774250423301619921925975649543556103050219224039778483), SC_(0.4992935354854227744062593568501916692180042004614849112072827608836331168589189268904245367712978671), SC_(0.632032516085374217898579547050990578452125339893678438657246685246766940101489385942892376077427596), SC_(0.5007064645145772255937406431498083307819957995385150887927172391163668831410810731095754632287021329) }}, 
+      {{ SC_(1736170.0), SC_(3472340.0), SC_(0.6014445720839096678691921265326588051367345601002845203175453094832083718879547519600219908634900144), SC_(BOOST_MATH_SMALL_CONSTANT(0.4764741965410820548147263974496875110171884751124591798801059384427379413001614590138374358389181743e-231373)), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0) }}, 
+      {{ SC_(1736170.0), SC_(173616992.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1028718049106474382663595835099645962497203244264180111334446299544683261400046764833876858973945412e-61095576)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8149672117199407490039815813486797316083480325648451121983304934903758539219857770713382104685664004e-71174558)), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0) }}
+   } };
+
diff --git a/src/boost/libs/math/test/igamma_int_data.ipp b/src/boost/libs/math/test/igamma_int_data.ipp
new file mode 100644
index 00000000..c3f7c3af
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_int_data.ipp
@@ -0,0 +1,149 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 140> igamma_int_data = { {
+      {{ SC_(0.5), SC_(0.004999999888241291046142578125), SC_(1.631267845368323485191815380032984903074365412587098308286220239190324188420710121791871591309590004), SC_(0.9203443263332001265162236927545643793578786527087679769237787431564844748135321134774112708209554194), SC_(0.1411860055371925421063521033081602797231840435352888199275875506625870961703220596656577919527041757), SC_(0.07965567366679987348377630724543562064212134729123202307622125684351552518646788652258872917904458057) }}, 
+      {{ SC_(0.5), SC_(0.25), SC_(0.8498918380799311297867616098602389766300312781938048348528626579829435160004444680322048858624092311), SC_(0.479500122186953462317253346108035471263548424242036299941194274352806478283146429109461900411394659), SC_(0.9225620128255848975114058734809062061675181779285822933609451318699677685905877134253244973998849491), SC_(0.520499877813046537682746653891964528736451575757963700058805725647193521716853570890538099588605341) }}, 
+      {{ SC_(0.5), SC_(0.449999988079071044921875), SC_(0.6075647752751784703583581789426278456752564880945645704809989500539948786183333019925969429005007538), SC_(0.3427817175407890768272360273834711985342418909050114189064883223090985450970247707985828865357086527), SC_(1.164889075630337556939809304398517337122292968027822557732808839798916405972698879464932440361793426), SC_(0.6572182824592109231727639726165288014657581090949885810935116776909014549029752292014171134642913473) }}, 
+      {{ SC_(0.5), SC_(0.5), SC_(0.5624182315944071242794949573020430690267675647965080152711827351225288269777202721053138351861008813), SC_(0.3173105078629141028295349087359241550441740665467912180252110995140171160255903409776584970430004241), SC_(1.210035619311108903018672526039102113770781891325879112942625054730382457613311909352215548076193299), SC_(0.6826894921370858971704650912640758449558259334532087819747889004859828839744096590223415029569995759) }}, 
+      {{ SC_(0.5), SC_(0.550000011920928955078125), SC_(0.5215730804923022694296157870452972118167645274078781347659207691038036243173236920652888890778334457), SC_(0.2942660990726723860419838415374453483460616872211918064199672606812661428450855377898215276021760526), SC_(1.250880770413213757868551696295847970980784928714508993447887020749107660273708489392240494184460734), SC_(0.7057339009273276139580161584625546516539383127788081935800327393187338571549144622101784723978239474) }}, 
+      {{ SC_(0.5), SC_(1.0), SC_(0.2788055852806619764992326110774391720885500824971744701584987919357006294674865183689945658651387992), SC_(0.1572992070502851306587793649173907407039330020336970915400621021652827459039891587248999441840165472), SC_(1.493648265624854050798934872263706010708999373625212658055308997917210655123545663088534817397155381), SC_(0.8427007929497148693412206350826092592960669979663029084599378978347172540960108412751000558159834528) }}, 
+      {{ SC_(0.5), SC_(100.0), SC_(0.3701747860408278920253566448133907572136210252033768764800615129976497004743801458060294976199881689e-44), SC_(0.2088487583762544757000786294957788611560818119321163727012213713938174695833440290513463628030792355e-44), SC_(1.772453850905516027298167483341145182797549452420639267805528869599344836457124609321319131228525415), SC_(0.999999999999999999999999999999999999999999997911512416237455242999213705042211388439181880678836273) }}, 
+      {{ SC_(1.0), SC_(0.00999999977648258209228515625), SC_(0.9900498339704614360382138392834551161113407838357779440886813669674202814166581683103367609018741592), SC_(0.9900498339704614360382138392834551161113407838357779440886813669674202814166581683014245491001600443), SC_(0.009950166029538563961786160716544883888659216164222055911318633032579718583341831698248133897676852056), SC_(0.009950166029538563961786160716544883888659216164222055911318633032579718583341831698575450899839955738) }}, 
+      {{ SC_(1.0), SC_(0.5), SC_(0.6065306597126334236037995349911804534419181354871869556828921587350565194137484240072325063075404673), SC_(0.606530659712633423603799534991180453441918135487186955682892158735056519413748423985704188802918523), SC_(0.393469340287366576396200465008819546558081864512813044317107841264943480586251576001352388492010544), SC_(0.393469340287366576396200465008819546558081864512813044317107841264943480586251576014295811197081477) }}, 
+      {{ SC_(1.0), SC_(0.89999997615814208984375), SC_(0.4065696694339752855534404747740105862953642332665029835031979841616081291898465027056760538362422369), SC_(0.4065696694339752855534404747740105862953642332665029835031979841616081291898465026775698931385242319), SC_(0.5934303305660247144465595252259894137046357667334970164968020158383918708101534973029088409633087743), SC_(0.5934303305660247144465595252259894137046357667334970164968020158383918708101534973224301068614757681) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.3678794411714423215955237701614608674458111310317678345078368016974614957448998033087215393207514013), SC_(0.3678794411714423215955237701614608674458111310317678345078368016974614957448998033055633330193769539), SC_(0.63212055882855767840447622983853913255418886896823216549216319830253850425510019669986335547879961), SC_(0.6321205588285576784044762298385391325541888689682321654921631983025385042551001966944366669806230461) }}, 
+      {{ SC_(1.0), SC_(1.10000002384185791015625), SC_(0.3328710757618145679671571848455601132593649668322841328963855852147267744456382506080158515376624924), SC_(0.332871075761814567967157184845560113259364966832284132896385585214726774445638250618965856020172342), SC_(0.6671289242381854320328428151544398867406350331677158671036144147852732255543617494005690432618885189), SC_(0.667128924238185432032842815154439886740635033167715867103614414785273225554361749381034143979827658) }}, 
+      {{ SC_(1.0), SC_(2.0), SC_(0.1353352832366126918939994949724844034076315459095758814681588726540733741014876899370981224906570488), SC_(0.1353352832366126918939994949724844034076315459095758814681588726540733741014876899415500621934116259), SC_(0.8646647167633873081060005050275155965923684540904241185318411273459266258985123100714867723088939625), SC_(0.8646647167633873081060005050275155965923684540904241185318411273459266258985123100584499378065883741) }}, 
+      {{ SC_(1.0), SC_(100.0), SC_(0.3720075976020835962959695803863118337358892292376781967120613876663290475895815718157118778642281497e-43), SC_(0.37200759760208359629596958038631183373588922923767819671206138766632904758958157182794930297528019e-43), SC_(0.9999999999999999999999999999999999999999999627992402397916403704030419613688166264196619710317313401), SC_(0.9999999999999999999999999999999999999999999627992402397916403704030419613688166264110770762321803288) }}, 
+      {{ SC_(4.5), SC_(0.04500000178813934326171875), SC_(11.63172821024549441698223162601989743958836118115278238773312379208547617681782066799483071466068875), SC_(0.9999999839815762404539939126624023829295483903490073208372721857918957147514500440457971141443476684), SC_(0.1863219545121619924834063678225205571246503831411699898288242541283108286160415992612505831218724607e-6), SC_(0.1601842375954600608733759761707045160965099267916272781420810428524854995595420288585565233163730242e-7) }}, 
+      {{ SC_(4.5), SC_(2.25), SC_(10.18403214286566234526019345802929635910911247967051220522868706375276166311515909530042932735839335), SC_(0.8755390252983378432498497196860962665082171215981371572250371700817082375787028909649723325825612257), SC_(1.447696253701786583884030651396968902999805826132653323674426557156968642013490188736000648552878518), SC_(0.1244609747016621567501502803139037334917828784018628427749628299182917624212971090350276674174387743) }}, 
+      {{ SC_(4.5), SC_(4.05000019073486328125), SC_(6.09619930418143348416524470101117228128122328067345332825921779733679304342948890732050183956106854), SC_(0.5241008985371801309146383358952143428740875054170474426280841553357280361181152065130979676546783232), SC_(5.535529092386015444978979408415092980827695025129712200643895823572937261699160376715928136350203327), SC_(0.4758991014628198690853616641047856571259124945829525573719158446642719638818847934869020323453216768) }}, 
+      {{ SC_(4.5), SC_(4.5), SC_(5.086254600275426697913639521658010730996650663525051864372270593095170813752910875972462124348963572), SC_(0.4372741889138670641009400424805416858000898092452887404106985701939067450505769204643336461025544414), SC_(6.545473796292022231230584587768254531112267642278113664530843027814559491375738408063967851562308295), SC_(0.5627258110861329358990599575194583141999101907547112595893014298060932549494230795356663538974455586) }}, 
+      {{ SC_(4.5), SC_(4.94999980926513671875), SC_(4.171619037527984520106404613863040137459486720891266230650903452565397410131822886149880468009497741), SC_(0.358641372571856074939053294589508679033634983899266698915641630338280455365687643506844120103652795), SC_(7.460109359039464409037819495563225124649431584911899298252210168344332894996826397886549507901774126), SC_(0.641358627428143925060946705410491320966365016100733301084358369661719544634312356493155879896347205) }}, 
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+      {{ SC_(37.0), SC_(35.0), SC_(226989024014514715184435975122876165449017.4354380189351676839148067141921226508640903916939172052318), SC_(0.6101964945804424491761955895760276454618789066404902936457902256016569955365846250467251759013351627), SC_(145004302775386502283563473027959034550982.5645619810648323160851932866996132430867287925061002027896), SC_(0.3898035054195575508238044104239723545381210933595097063542097743983430044634153749532748240986648373) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(177863034503958843994685514205494501614349.5019963234044377047596609195056110031786919237288259549572), SC_(0.4781350139767814391926669215604954535637725270056258313717131858978224542335868299177336178494837268), SC_(194130292285942373473313933945340698385650.4980036765955622952403390813861248907721272604711914530642), SC_(0.5218649860232185608073330784395045464362274729943741686282868141021775457664131700822663821505162732) }}, 
+      {{ SC_(37.0), SC_(39.0), SC_(131256580134582475503504585688775961443809.3151145960527074790695530203993802515906461401417853004337), SC_(0.3528465988012605299562448021483701523550172331761938728513557987821171322564921159639473486646029879), SC_(240736746655318741964494862462059238556190.6848854039472925209304469804923556423601730440582321075878), SC_(0.6471534011987394700437551978516298476449827668238061271486442012178828677435078840360526513353970121) }}, 
+      {{ SC_(37.0), SC_(74.0), SC_(271778651018441097347065883466473848.2746511977815237362658432276453536467157425861343116997640371484), SC_(0.730600877611816548123508890538883154677474348252631497380790705322862094368509049491763524535733931e-6), SC_(371993055011250199026902101084951733526151.7253488022184762637341567732463822472350765980657057082574), SC_(0.9999992693991223881834518764911094611168453225256517473685026192092946771379056314909505082364754643) }}, 
+      {{ SC_(37.0), SC_(3700.0), SC_(0.3714703196437381532843643639864485147019841838742418471961281810239780186658714011436027292802695334e-1478), SC_(0.9985940415902717138423033467831033580547327587141446387368733042084326864839438382850644573580819965e-1520), SC_(371993326789901217467999448150835200000000.0000000000000000000000000008917358939508191842000174080214), SC_(1.0) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/igamma_inva_data.ipp b/src/boost/libs/math/test/igamma_inva_data.ipp
new file mode 100644
index 00000000..53e1b607
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_inva_data.ipp
@@ -0,0 +1,443 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 435> igamma_inva_data = { {
+      {{ SC_(0.11342023313045501708984375), SC_(0.097540400922298431396484375), SC_(1.035869900800721563193351335409353423054156223778352824799732510014114331303190861923913851617789576), SC_(0.05862165929221091309602935851268320728966552926925608108837955463403857541085640683871851098187935567) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.12698681652545928955078125), SC_(0.93513162632210132756150227031041961003749580131891848591112697892138664595709032559736553036690404), SC_(0.07702073629515159209895492482246819546302457039495283952439305125976814739590655422243170396591695024) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.135477006435394287109375), SC_(0.9100380607375349140135424653157145054283763683426464165277887838730942363760587929004439481331867906), SC_(0.08239454114833290164904666725589763295213501324448854257672874472236795673343348101283994380015493955) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.188381969928741455078125), SC_(0.779595202624673387363485521164023245809684162801375448392802218438362825559076033610794317185133861), SC_(0.1166391941338030559840976122781824609204768300357456413264936214065498992433137767918843993082512688) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.22103404998779296875), SC_(0.7145928353898281531229899766663421465043332388718242321020543488710755276457340056824233507290026167), SC_(0.1384900078344770795221486812547034082011104407568501332022902743558707268824034463784809050893959221) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.278498232364654541015625), SC_(0.6182586795562308310975349170899684675397900921120847475062459321020936519806102953807288680346855742), SC_(0.1784721480822330050905288284953586748392689370078276538971887861788093058242214704511862158537019216) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.308167040348052978515625), SC_(0.5750762878067446972629162563822329468974137308881623861798146424843915189358227607746127802679658861), SC_(0.1999745971366197606214810194646538480932240109343778328885211338343706229230203595508410364650077464) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.546881496906280517578125), SC_(0.3158581972518262198680262971873178145282238457421313069361242252141961771513906035921435181902024621), SC_(0.40399522554055015965171997281891601803562228187095717362147123937459020167864162427846789506528334) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.54722058773040771484375), SC_(0.3155616219617029735803748550238394725944210138946535670470388364147063820887200160768983610508607508), SC_(0.4043391538070912752469413697358973847567093976055568141867354582154449982775159287792880341381161789) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.6323592662811279296875), SC_(0.2451306925552628674700116671932204741230337234325446757090933316372456823776133088401164345457104668), SC_(0.4981721948503688022008818739022596218839268441108020243647633715157177066183221315388893154605681197) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.814723670482635498046875), SC_(0.1145907253421634340428550841021180213245634728137200905215078642375729374894281996476238899008128165), SC_(0.7862852295173094376574861816166162829803656701458377721112754273299144168379358322286031004477952406) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.835008561611175537109375), SC_(0.101331527591007847744573524795847576083929747580314104040226733069549334001280984610814567479857817), SC_(0.8326058923439134249687721563121076618130208457176003407255229510096659223637127918548740068611902389) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.905791938304901123046875), SC_(0.05656193657838154866774148682961754372226868790952633895057593923638262083267913677844800561062284631), SC_(1.04896840759462485702081614165933409290459738742990942007871315448214243965980816410908535790073786) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.9133758544921875), SC_(0.05189064964852823459637928419581919698509481017420310002496395476818562158762986899770261198573844241), SC_(1.080435768098731745020005560573961257374011084999542196321375433066538881295544756909074244422125722) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.968867778778076171875), SC_(0.01835818396061160048337643098614074549706602146731102647725732066970461614194476008520575667903820769), SC_(1.448797407656090219493165071703219939123058592597047518890784499076538070587802667567859080671028321) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.097540400922298431396484375), SC_(1.124578830537963702051998473796288168586685310061027732355203576629632283960817297660062046074915143), SC_(0.0659284721147043282303849180640934562566897224895804233539249128398260667430925608435729540214754515) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.12698681652545928955078125), SC_(1.017033751189331824504325403924341720905739138565526684761461549984097760120918333327463981882765665), SC_(0.08649278031454385525728666007963182163925805103763420954040262025741180677454847460411841098791601186) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.135477006435394287109375), SC_(0.9902142921858343274435115921427109074354611809918110403382037220186217516256053009853608288056704689), SC_(0.09248877472325344088393739866931009589190859884078310814802341635680304235539767062268472977333731618) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.188381969928741455078125), SC_(0.8505785998195794526287491308010932266793339719426224792262622633066161829593612618292878964211114605), SC_(0.1305982554060110903644352571539294106230392294124679024676030185902887691963181187121592257303657878) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.22103404998779296875), SC_(0.7808395661964723025065274478432724703812506573362937686319290770429457825258588979051496462804184209), SC_(0.1548317951205897711220384965795747080251080507849479059158897171375778172596890940331713045635641511) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.278498232364654541015625), SC_(0.6772609184694136395829214678207043149699253868567694609654501808726365693498576674966232500529840506), SC_(0.1990250470315257234650602086315659437473047214824637904232710507788991505540315624327049715768915247) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.308167040348052978515625), SC_(0.630732340145806754814474818656317258739611054139979482135367574881529997048038535582075675545383329), SC_(0.2227203252084107833339010674280717585720589607238234483333954941372899120632213762241351353111801409) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.546881496906280517578125), SC_(0.349708717751391355159479214660277171464283691195026088708202769671562811924679353305737371727474314), SC_(0.4456482378008532807988050947059477473750827663770176898902670239364470277606341238138830195865284648) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.54722058773040771484375), SC_(0.34938505235700051109422458264248273843369824263538926665971457103150418551006634428413713838463443), SC_(0.4460217175733750342583186470185268231571709276780851712061443842332352649527336346223436093968900516) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.6323592662811279296875), SC_(0.2723365665725819880697084193348315672163942836223061717484924369936181601343161297604977832581277765), SC_(0.5476941234441064195196321208511198969055308360244560161002793861902290381370045763117008954093133652) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.814723670482635498046875), SC_(0.1283232223230380098811206610224084691036303771630733595757042570301959629906377767938930312924094034), SC_(0.8577498466883962411368177728739427398074845373836199107327704588709507726781916595107240718092847017) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.835008561611175537109375), SC_(0.1135836623459303051429194205019356086721666257185933943800095114966831710249674856235457280143561524), SC_(0.9073723077768857915584037443594473495284668640552456222581651191944986071977435720707982921349172822) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.905791938304901123046875), SC_(0.06362286490652974750551515900848775590349209643142950504238254147486041451220153135727937086746593346), SC_(1.138548958417806819877672656752528834516707875999494557854245128596101999842871365821587081467468729) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.9133758544921875), SC_(0.05839122910435104787959801317712985297073242431714212769707923902518190300188050313568727292734281841), SC_(1.172098433700713966567441591625443115999983390102098023915355276771621952667238157429389664117756093) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.968867778778076171875), SC_(0.02071934836253989804136051808125936032827483325843529223729374263952186251046878164288294079384678798), SC_(1.56377644811475640972171606288309488019030758199907780303791244112105872633625554623267734499110393) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.097540400922298431396484375), SC_(1.906240501146735627405728538719050272742196757761857063398095587230594456801036092842821773110568176), SC_(0.1557234989288209275828472080090140421199447184166737519995512435500240874319270398254513654236859738) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.12698681652545928955078125), SC_(1.746889660226439769707796999615493342006338076754771883758583845080036360375775016213480275141899151), SC_(0.2002596077596651342317325888043366373380954823329671027872122725030008232437680807213017399722523492) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.135477006435394287109375), SC_(1.706868853024925966866869647473148895344239016501717692391243187680702442620890834745165798505101534), SC_(0.2129795974646839776665682777757533210339641002049819348270911731567455898031637831725545721717175334) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.188381969928741455078125), SC_(1.496402036110226178753807596303443024792020848888375194926104618332228203462037726328030969815045359), SC_(0.2914634957363814616459251957253147303530562178568750069356253062641261676124313970417703556690757765) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.22103404998779296875), SC_(1.389780170786465257163165888411919682295334234979373288233859710186808614418780585928648487393921389), SC_(0.3395697694493451480454334226071565211789536369197603012170000008453482663877818774486999446935503578) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.278498232364654541015625), SC_(1.229174720073372984084496383837881179087223547169626664699876858397174598071709432222238442958855439), SC_(0.4244425653913050008718190012967890644774095596425806319360580424994718887595717604938855299440668093) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.308167040348052978515625), SC_(1.156013053768341543768168548522257409766109807965285308966336963040232539746733111463527005418183613), SC_(0.4686807520841755502989471241669846831690356034356557943101461745637370926841250627778710220335129588) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.546881496906280517578125), SC_(0.6947721882838627949038262091975689387764567019453173647065533321382744657450460331419286643574776482), SC_(0.856829730614052242405116918767233984406720091257778872793994440946733518700749262959776269533866004) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.54722058773040771484375), SC_(0.6942147568794122696200017270629557570076703163891712593315468480078768034853161200814111932265608757), SC_(0.8574495251440085350859678096982695288723874542394079979930290904412490567933548532369594229447389463) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.6323592662811279296875), SC_(0.5589786726957033422941602375813373046879722363449824559752641350510778309452479538716704122275528471), SC_(1.023577834553390956652648263292654002446782700792026164932025970575470481406702608985240964104843903) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.814723670482635498046875), SC_(0.2868813784860015606760412218035657927796176303339322211706677987987728973745366052832491215062119951), SC_(1.507304544624902338801973568545168892096379533153391150979079395057066736786348622620184780822628809) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.835008561611175537109375), SC_(0.2568935837272709908753487794187791358163818306778911259196867303174376772887052388030733749229137646), SC_(1.582455306019404084804450153498424040275078618162624951343780339565478307193874251513518564374071041) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.905791938304901123046875), SC_(0.1506347253417586905688255904812071536482537188067419956228297520577947931339130124933846650042800913), SC_(1.926816526440767605217362474417185267071949430556007186239551941147146911512829851333833992527160027) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.9133758544921875), SC_(0.1390101729626404216517230653577629330653433220311021371773880142236168201232166173456231945275187574), SC_(1.976122143213291899358992568071855876137809030571579600545815122411388046064230680375411764664967352) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.968867778778076171875), SC_(0.05159397411040075136949974586299580607266007906546148179746530906816283404219559283712915016000747068), SC_(2.542284263439527020342019073908337703600122253760234226452742497319688928938238882786942476219332789) }}, 
+      {{ SC_(0.91750431060791015625), SC_(0.097540400922298431396484375), SC_(2.711998557841879052132321087467458969561301949235923127317988801661751718689072320485397011128703986), SC_(0.3061726301503603217632600102982841385077346866054733051600433778645397037685762699828524837236533078) }}, 
+      {{ SC_(0.91750431060791015625), SC_(0.12698681652545928955078125), SC_(2.509481000222379121131178804027310310687727437209817740982526954619793535767106985904703722992173981), SC_(0.3822051519276465055012709548939149190375605300969726586966346488734400475030867035740034886129308152) }}, 
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+      {{ SC_(30203694.0), SC_(0.278498232364654541015625), SC_(30206922.11482883621349902576400149622677934703180000493881690157818678904256430739792356870432623573), SC_(30200466.66681496083817322221637013993723066065566124378008761476684957400999798723604743234095626697) }}, 
+      {{ SC_(30203694.0), SC_(0.308167040348052978515625), SC_(30206448.05460290491450971241953253008423903107052255039907494646751223838472473892280165946724898133), SC_(30200940.69574834130317660059010636635891931231336377577854780281206532038547042794469057516760843273) }}, 
+      {{ SC_(30203694.0), SC_(0.546881496906280517578125), SC_(30203047.00717058636669137357304329205959160149968637834771106489786699129221742385725439984711498261), SC_(30204341.66412061438892037858238817499573385966690259844837484508562445579642440156011876568390745967) }}, 
+      {{ SC_(30203694.0), SC_(0.54722058773040771484375), SC_(30203042.30316911510841423755943355619862052255525737384753926509535075864473371673718417804236785854), SC_(30204346.36818954141196718386901594529173091315276193703386689325465835489738438729376667618975581351) }}, 
+      {{ SC_(30203694.0), SC_(0.6323592662811279296875), SC_(30201836.17980432310579115059624887819436825142777050805037400727522822838623497800967776780877762698), SC_(30205552.52496811563988534014867005476936232886423535822792563048853981792883735017378794452129469264) }}, 
+      {{ SC_(30203694.0), SC_(0.814723670482635498046875), SC_(30198773.32543295466384303637189930446471572734223223892225111721858159661322380144370334171399592945), SC_(30208615.60850382374838123766556759581715316364613287151987225419255301976073762617401758260722361711) }}, 
+      {{ SC_(30203694.0), SC_(0.835008561611175537109375), SC_(30198340.77785915372227694900099056895390988180231312503107906339171260486697177517187178707615377744), SC_(30209048.20512919326855490888268848804451625500482635894067819189284827655903055503571740161890393015) }}, 
+      {{ SC_(30203694.0), SC_(0.905791938304901123046875), SC_(30196466.12565226888150073567973527983647592469381424487408323665472782970590030369753565377529416458), SC_(30210923.11766742515441063993124028259470221758493890083864245553374244107973324231229306719090975719) }}, 
+      {{ SC_(30203694.0), SC_(0.9133758544921875), SC_(30196210.25585998280064237944520762297790392031265667224175460272447471873119884901896113469469345057), SC_(30211179.02900968308035831437060149239618022354135751179509266594271502924955014841375878474172002289) }}, 
+      {{ SC_(30203694.0), SC_(0.968867778778076171875), SC_(30193448.52065679169569881618335847186614165117290739943799101539336869203467308211264064437967727749), SC_(30213941.30468216779982532499490538896952642738252393109170337539122327630305298668623088994994675055) }}
+   } };
+
diff --git a/src/boost/libs/math/test/igamma_med_data.ipp b/src/boost/libs/math/test/igamma_med_data.ipp
new file mode 100644
index 00000000..1dd014e0
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_med_data.ipp
@@ -0,0 +1,710 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 700> igamma_med_data = { {
+      {{ SC_(0.9759566783905029296875), SC_(0.009759566746652126312255859375), SC_(1.003339192007827076679495082852814844336347745360235976200689788561799007730110137330271807878843422), SC_(0.9890348932311204142405476428315735322132825375129739181325170152149560168983641202727073881868421137), SC_(0.01112369385656880593053787042266942213006008594885039559843996330162391632861423778173725952365124566), SC_(0.01096510676887958575945235716842646778671746248702608186748298478504398310163587972729261181315788632) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.48797833919525146484375), SC_(0.6107075742899761923771199703161020169732161418698525715736270035568544567698769445946517198087313906), SC_(0.60200090392622800556746880021527940973985765617427715855663599678855269649431562996389062378697249), SC_(0.4037553115744196902329129829593822494931916894392338002255027483065684672888474305173573475937632775), SC_(0.39799909607377199443253119978472059026014234382572284144336400321144730350568437003610937621302751) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.8783609867095947265625), SC_(0.4103188243195825736649265764483608742565650301514019080978258727846258380934756822777647401521337079), SC_(0.4044690348331089562847173039266064850324957624072768224521011340506874965505832795400716939018472498), SC_(0.6041440615448133089451063768271233922098428011576844637013038790787970859652486928342443272503609601), SC_(0.5955309651668910437152826960733935149675042375927231775478988659493125034494167204599283060981527502) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.9759566783905029296875), SC_(0.3716156455565117999679764359314206771522167659503088545148165288456984447337491300360711644068227913), SC_(0.3663176354055262891120913532650947355579995910412343114483952548046833846145392929954730440121592797), SC_(0.6428472403078840826420565173440635893141910653587775172843132230177244793249752450759379029956718767), SC_(0.6336823645944737108879086467349052644420004089587656885516047451953166153854607070045269559878407203) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(1.0735523700714111328125), SC_(0.3365957734341682416974116339033939077306129158759127039900907555371173447101305942124236590906355356), SC_(0.331797030846884313930450730877113627495191936019305203409885944607670085443529202208539000516429768), SC_(0.6778671124302276409126213193720903587357949154331736678090389963263055793485937808995854083118591324), SC_(0.668202969153115686069549269122886372504808063980694796590114055392329914556470797791460999483570232) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(1.951913356781005859375), SC_(0.1385088659605976262491193813236600847409759615506046462442726458845512900567187865481680178692283672), SC_(0.1365341875889111868905471971345765310104098007339706625166294395122010561441478434485743781967094833), SC_(0.8759540199037982563609135719518241817254318697584817255548571059788716340020055885638410495332663008), SC_(0.8634658124110888131094528028654234689895901992660293374833705604877989438558521565514256218032905167) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(100.0), SC_(0.3329367866516218882556933190525174260789494242751242200806022302568879706613898466339952656223149765e-43), SC_(0.3281902091153740166486606492940994602463196281189732879787170311504671582868285770684776274764428056e-43), SC_(1.014462885864395882610032953275484266466407798015407706636940926294091018806981767406982208969380557), SC_(0.9999999999999999999999999999999999999999999671809790884625983351339350705900539753680371881026712021) }}, 
+      {{ SC_(3.6673679351806640625), SC_(0.03667367994785308837890625), SC_(4.015456203482594363703108922457754241931144753022213644581757557362565251633751067204031319947614119), SC_(0.9999996416031942390887720081336876066391718689312749653540593938756701333363441103622007068271772676), SC_(0.1439127192779586379672567684497393093482122996236962325320321035788002657163475408231449064922934748e-5), SC_(0.3583968057609112279918663123933608281310687250346459406061243298666636558896377992931728227323669815e-6) }}, 
+      {{ SC_(3.6673679351806640625), SC_(1.83368396759033203125), SC_(3.385019930725903437101102788992704693233898009050769147408163022452742444496498683915469724406386969), SC_(0.8429972949548684405745767660490086691148623810631514321669785188982553992208514843501333648638513432), SC_(0.6304377118838837061883858060327340460903402260944407341359198552308585951399095467639698269902920728), SC_(0.1570027050451315594254232339509913308851376189368485678330214811017446007791485156498666351361486568) }}, 
+      {{ SC_(3.6673679351806640625), SC_(3.300631046295166015625), SC_(2.042636694164828921905502083385700066735693044660836778705857972635214071130121556552436672447216837), SC_(0.5086933734500178903640699120946947210401396612791668913147219471061294630383430188409151403350782137), SC_(1.972820948444958221383986511639738672588545190484373102838224905048386968506286674127002878949462205), SC_(0.4913066265499821096359300879053052789598603387208331086852780528938705369616569811590848596649217863) }}, 
+      {{ SC_(3.6673679351806640625), SC_(3.6673679351806640625), SC_(1.728735745904876644611421612335214154871948437794169498245863240719631120462386158739239016328353788), SC_(0.4305202295151868380055049423689706093538316338471304831830580882615064594948400767660055044416881203), SC_(2.286721896704910498678066982690224584452289797351040383298219636963969919174022071940200535068325254), SC_(0.5694797704848131619944950576310293906461683661528695168169419117384935405051599232339944955583118797) }}, 
+      {{ SC_(3.6673679351806640625), SC_(4.034104824066162109375), SC_(1.444516814327011000070882393866730351220066002187575174421871857951121331631687572841352290352819824), SC_(0.3597390242642850341727041436017742040531479500883038068894793884921274228917627066755248387784064007), SC_(2.570940828282776143218606201158708388104172232957634707122211019732479708004720657838087261043859218), SC_(0.6402609757357149658272958563982257959468520499116961931105206115078725771082372933244751612215935993) }}, 
+      {{ SC_(3.6673679351806640625), SC_(7.334735870361328125), SC_(0.1928842173031202025225624838692485746218833743579218885223983296392167688850553059225165015834992419), SC_(0.04803542571495237241980779345714029329653710992944984439518803096715759866423134446016679398725604201), SC_(3.822573425306666940766926111156190164702354860787287993021684548044384270751352884171158251598726148), SC_(0.951964574285047627580192206542859706703462890070550155604811969032842401335768655539833206012743958) }}, 
+      {{ SC_(3.6673679351806640625), SC_(366.736785888671875), SC_(0.372800134674871004133305800038544316286141292939638700513746479143277577659533359615901901430435418e-152), SC_(0.9284125692646457240171069953349802726912792879264744141937156428280981577209798205498168718568776692e-153), SC_(4.015457642609787143289488595025438739324238235145209881544082877683601039636408230679439551396679042), SC_(1.0) }}, 
+      {{ SC_(3.927384853363037109375), SC_(0.0392738468945026397705078125), SC_(5.481066062312759609088467038496268309673263041819793219043840830040297205342994832270601061056033285), SC_(0.9999998644970030817287440986146656923084586349422512633027737770225692386615800459657372422641664819), SC_(0.7427009783886154185672763382162962257956018203370314581397997422675096103629829713614292219536073734e-6), SC_(0.1355029969182712559013853343076915413650577487366972262229774307613384199540342627577358335181356689e-6) }}, 
+      {{ SC_(3.927384853363037109375), SC_(1.9636924266815185546875), SC_(4.681812913714047542283856210321072659033064415174669810637868258672116849915694109286206104312772615), SC_(0.8541791370671521729901850166624917295981362963337091768339429521680602021206356329487839388666490246), SC_(0.7992538912996904554200293954515338669364244222469437454374307111679226229369110859673663181724826232), SC_(0.1458208629328478270098149833375082704018637036662908231660570478319397978793643670512160611333509754) }}, 
+      {{ SC_(3.927384853363037109375), SC_(3.5346462726593017578125), SC_(2.816382129373238431622360210900121113984870409677894964310059270076658015588413570675787110723304341), SC_(0.5138383146136784446720548677781035602174821016872781850577578962283277420194842365544178296035766061), SC_(2.664684675640499566081525394872485411984618427743718591765239699763381457264191624577785311761950897), SC_(0.4861616853863215553279451322218964397825178983127218149422421037716722579805157634455821703964233939) }}, 
+      {{ SC_(3.927384853363037109375), SC_(3.927384853363037109375), SC_(2.372524524117176265960547286995208847829504338216474626443140132870682887519485551770239936222341945), SC_(0.4328581658495639630270840755675107928235764222751457590954583968179864712767674894422404906165588576), SC_(3.108542280896561731743338318777397678139984499205138929632158836969356585333119643483332486262913293), SC_(0.5671418341504360369729159244324892071764235777248542409045416031820135287232325105577595093834411424) }}, 
+      {{ SC_(3.927384853363037109375), SC_(4.320123195648193359375), SC_(1.970611625388247978708850134084306947654318148394020488479689347566403177940610018095263177207347023), SC_(0.3595306708514582221331302218158069672828911270152191991137293925439419946034877363340407656533313991), SC_(3.510455179625490018995035471688299578315170689027593067595609622273636294911995177158309245277908216), SC_(0.6404693291485417778668697781841930327171088729847808008862706074560580053965122636659592343466686009) }}, 
+      {{ SC_(3.927384853363037109375), SC_(7.85476970672607421875), SC_(0.238706275514383026709028032263691077278567144774320344670291470842396455092581594240259417847732045), SC_(0.04355106113576820787009967250010306075903743361159344036127233964378152216248958038694036508132089635), SC_(5.242360529499354970994857573508915448690921692647293211405007498997643017760023507401906976198864705), SC_(0.9564489388642317921299003274998969392409625663884065596387276603562184778375104196130596349186791037) }}, 
+      {{ SC_(3.927384853363037109375), SC_(392.738494873046875), SC_(0.1078993903281671896766902458293491839848722367396818902919765955362752479299554076754789326345029705e-162), SC_(0.1968583747774567503864275752806505701451497730718605463389743484952827957146229484595624495962975282e-163), SC_(5.481066805013737997703885605772606525969488837421613556075298969840039472852605195253572422485255239), SC_(1.0) }}, 
+      {{ SC_(4.0533123016357421875), SC_(0.0405331216752529144287109375), SC_(6.41813285759464991786370353876022753573157877461535817238850166391366463955791959530384794100190872), SC_(0.9999999153376853984885845524839724176593964442100629723951601696835883369687013798502558587978588299), SC_(0.5433740291472787177259642030841127451712424954512787213858894935800380943446964607803762001476194369e-6), SC_(0.8466231460151141544751602758234060355578993702760483983031641166303129862014974414120214117007469975e-7) }}, 
+      {{ SC_(4.0533123016357421875), SC_(2.02665615081787109375), SC_(5.514707456930929301459079955313869438197604073116501578585214366340025188854030716468633857798384298), SC_(0.8592385219195666661138078362450122638220024524868804909958062167776733168925557829786689630134192895), SC_(0.9034259440377497636833413094105611816467198727413520450820086834631330307419832235316748635797245696), SC_(0.1407614780804333338861921637549877361779975475131195090041937832223266831074442170213310369865807105) }}, 
+      {{ SC_(4.0533123016357421875), SC_(3.647981166839599609375), SC_(3.31312004338382642184449230231977509243273512126776674881440136854727850356190389201660465913190857), SC_(0.516212399524725097994684175184876436874372793206907921261581372871952489632052496592045138421516394), SC_(3.105013357584852643297928962404655527411588824590086874852821681255879716034110047983704062246200297), SC_(0.483787600475274902005315824815123563125627206793092078738418627128047510367947503407954861578483606) }}, 
+      {{ SC_(4.0533123016357421875), SC_(4.0533123016357421875), SC_(2.784885343934578513149804339717137368299390408067016796848041900953216841366437030241554499406837817), SC_(0.4339089217924731861183993826512701012093309775829357321262802724234704087971362274687905192149369188), SC_(3.633248057034100551992616925007293251544933537790836826819181148849941378229576909758754221971271051), SC_(0.5660910782075268138816006173487298987906690224170642678737197275765295912028637725312094807850630812) }}, 
+      {{ SC_(4.0533123016357421875), SC_(4.458643436431884765625), SC_(2.306553712479142633820833960152698687620756933527776352577981760649736926199934255571033388056820818), SC_(0.3593807682668325353265411226551952864628632629455109728805051026664326234974500588222530217351917741), SC_(4.11157968848953643132158730457173193222356701233007727108924128915342129339607968442927533332128805), SC_(0.6406192317331674646734588773448047135371367370544890271194948973335673765025499411777469782648082259) }}, 
+      {{ SC_(4.0533123016357421875), SC_(8.106624603271484375), SC_(0.2666208775089865235658723894506298859889618919139046778832877954885433336210504108700118485172825721), SC_(0.04154180987711253275131159150161436117019650310762690095170282803753763611183019192983825306101724165), SC_(6.151512523459692541576548875273800733855362053943948945783935254314614885974963388715345260029002709), SC_(0.9584581901228874672486884084983856388298034968923730990482971719624623638881698080701617469389827584) }}, 
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+      {{ SC_(99.6479034423828125), SC_(101.6479034423828125), SC_(0.7544659013596046014875316445704815685260451593376435295742314736115164671432240751181442400434537482e155), SC_(0.4081242144094947811955420069383153567301560395689175929907159931951304506349246950413365552505599538), SC_(0.1094152422968990724769008459186452180108787752826193570140333168743414148723089242062625933366172518e156), SC_(0.5918757855905052188044579930616846432698439604310824070092840068048695493650753049586634447494400462) }}, 
+      {{ SC_(99.6479034423828125), SC_(199.295806884765625), SC_(0.3804006384186390812353329092798841093741132631690706197243637647942568433128668478754826060017677696e141), SC_(0.2057756506101917034700047476092601152101401495116289370474041581162582830156798739943260060771748412e-14), SC_(0.1848618324328591522250155917366121395305740113322743358581932951648733372228665374612337044741147512e156), SC_(0.9999999999999979422434938980829652999525239073988478985985048837106295259584188374171698432012600567) }}, 
+      {{ SC_(99.6479034423828125), SC_(9964.7900390625), SC_(0.6187187441149196707967788811980241646983120637234991013972314808151116439559127711068191156963192852e-3933), SC_(0.3346925300762848381679977351230198692364721942446516591127645420968259313810798749854292537402422257e-4088), SC_(0.1848618324328595326256540103756933748634832912163837099714564642354930615866313317180770173409626267e156), SC_(1.0) }}
+   } };
+
+
+
diff --git a/src/boost/libs/math/test/igamma_small_data.ipp b/src/boost/libs/math/test/igamma_small_data.ipp
new file mode 100644
index 00000000..ae213ceb
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_small_data.ipp
@@ -0,0 +1,261 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 252> igamma_small_data = { {
+      {{ SC_(0.165048161769598689119220580323599278926849365234375e-11), SC_(0.165048164480104120332981665342231281101703643798828125e-13), SC_(31.15790848492937617968754572910879626038987427321665501824062445965678033809696860327421033588997389), SC_(0.5142555520027874508595595722328287870710653491133268223717400674935981376413784737279829921742056631e-10), SC_(605883754914.8750136902267543620760601500284208480879474455026885251060577270869941538181411625849707), SC_(0.9999999999485744447997212549140440427767171212928934650886673177628259932506401862358621522444918976) }}, 
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+      {{ SC_(0.00196246779523789882659912109375), SC_(0.0039249355904757976531982421875), SC_(4.938987082914699838457983226719965217476612853363045113042016127451297846013281495884499568865883318), SC_(0.009703558067449986097531968416312103910922126732481402762324146425017417699686163534289754729460729665), SC_(504.0482368388177885040382376886022598332133515944345676848431450556494667385693259819865202193630219), SC_(0.9902964419325500139024680315836878960890778732675185972376758535749825823003138364656249915899590869) }}, 
+      {{ SC_(0.00196246779523789882659912109375), SC_(100.0), SC_(0.371711069233994618089251980379787404703200868503681252205878708328579900643829653098280882608666812e-45), SC_(0.7302954804444227624038715794279959610192586730525009887130851252337543775699440571494118134245598624e-48), SC_(508.9872239217324883424962209153222250506899644474259017286511665650115126042028200775715570287875006), SC_(0.999999999999999999999999999999999999999999999999269704519555577237596128420572004038980741326947499) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.5553754817810840904712677001953125e-4), SC_(8.964916995922265562670509435276988555999266212543889148630586594457109756662300790199875201890414176), SC_(0.04994755397027048426834023531853787482994000264191186425566638484033048318774106778174252966339825561), SC_(170.521690121181316177902329265915998355956795018230725850859227674038580240062721109869774095721396), SC_(0.9500524460297295157316597646814621251700599973580881357443336151596695168122589322178155624007872869) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.0027768774889409542083740234375), SC_(5.222169637141671636404804427422403643545438726610446085568828215923685407329063311433402344362745274), SC_(0.02909503790293689426695312636806957821114009596057981217975996295813570004816536813932743724112559258), SC_(174.2644374799619101041680342737705832684106225041641689139209860525720045893959585886362469532490649), SC_(0.9709049620970631057330468736319304217888599040394201878202400370418642999518346318604135760837493635) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.004998379386961460113525390625), SC_(4.654508257117303320411512555062309276826075249498977524731665069947789435192356659973016340215335662), SC_(0.02593234298579466195965215749908092357421845490729802493578101747721091498484013447327969090018933084), SC_(174.8320988599862784201613261461306776351299859812756374747581491985479005615326652400966329573964745), SC_(0.9740676570142053380403478425009190764257815450927019750642189825227890850151598655264890660379528003) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.005553754977881908416748046875), SC_(4.552711102485910264547873147973210224670389064059533400410882648423784089166455372965055776226103584), SC_(0.02536518560137223040331237053691364143746751771600885263808132832279168674495735497543463321073851608), SC_(174.9338960146176714760249655532197766872856721667150815990789316200719059075585665271045935213857066), SC_(0.9746348143986277695966876294630863585625324822839911473619186716772083132550426450243390989132964284) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.006109130568802356719970703125), SC_(4.460624247688622547953655889386147254858073264917443243978430055334332005853002076023509767191650769), SC_(0.02485212863140451070724595723004764521959822842170598463337027497439070096530401467959144797904202474), SC_(175.0259828694149591926191828118068396570979879658571717555113842131613579908720198240461395304201594), SC_(0.9751478713685954892927540427699523547804017715782940153666297250256092990346959853201867847542934446) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.01110750995576381683349609375), SC_(3.883357360216657997244393968550088480113409837493760013294217647121382192929527127834473880298138601), SC_(0.02163591714496566646516776444203604062813292121063084740422116343165497104858943114627344800197163485), SC_(175.6032497568869237433284447326428984318426513932808549861955966213743078037954947722351754173136716), SC_(0.9783640828550343335348322355579639593718670787893691525957788365683450289514105688535329977996498619) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(100.0), SC_(0.3779230356323651469251400251436801657115323311828038629573248866991682540425440079590315860323569243e-45), SC_(0.2105577913040578184612113756477261211410811213425891696964581142045415939710425561995401419156912192e-47), SC_(179.4866071171035817405728387011929869119560612303966919638574491215705499715813417359332742369180329), SC_(0.9999999999999999999999999999999999999999999999978944220869594218153878862435227387885891887865741083) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.869112918735481798648834228515625e-4), SC_(8.412150535244441203168046070317310253724567623691078331486778211100219408535590313077554856570699598), SC_(0.0734742369214086089210153054947260329971557695201341707775521940117156621771297470370953689874816908), SC_(106.0790083759050634625337598716446870920526426681515083014260468453871574230843464967785306090985135), SC_(0.9265257630785913910789846945052739670028442304798658292224478059882843378228702529622462611547659734) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.0043455646373331546783447265625), SC_(4.747483533337902183946818699971831287857052577276252258033190690531537548113688962993636655174478423), SC_(0.04146594006461382313537482617248709417766142416202542486142474476114080262861893941422971907404955593), SC_(109.7436753778116024817549872419901660579201577145663343748796343659558392835062478468624488104947346), SC_(0.9585340599353861768646251738275129058223385758379745751385752552388591973713810605853961293779614401) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.00782201625406742095947265625), SC_(4.188714405951040634652072336322477039569342050275559543021997361729942472593051923062465693734697627), SC_(0.03658548350621272832275084129392436578573561492653168803027125335941528070349701044338510087997499593), SC_(110.3024445051984640310497336056395203062078682415670270898908276947574343590268848867936197719345154), SC_(0.9634145164937872716772491587060756342142643850734683119697287466405847192965029895562840836832982795) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.008691129274666309356689453125), SC_(4.08848737420065935929134320387738037551705209754263277179328266373220927403385787131830593805064886), SC_(0.03571007065596669193904108016015709813865155263375873910595316749759359782915444208415216634230658664), SC_(110.4026715369488453064104627380846169702601581942999538611195423927551675575860789385377795276185642), SC_(0.9642899293440333080609589198398429018613484473662412608940468325024064021708455579155247914668146388) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.00956024229526519775390625), SC_(3.99782079814824918307908619479527349158197798771392975095659098640536858272574657135383729506757053), SC_(0.03491816168312825922906539505187828450927190406957704260083957374549678225908496848420561100299384268), SC_(110.4933381130012554826227197471667238541952323041286568819562340700820082488941902385022481706016425), SC_(0.9650818383168717407709346049481217154907280959304229573991604262545032177409150315154783785776319255) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.01738225854933261871337890625), SC_(3.429652593561693644638834896451401252091493865356407433916434404687048079702486661999920641307007191), SC_(0.02995561077535484202820021234487128647994519436125259940646933255344394936860990914312183685175046186), SC_(111.0615063175878110210629710455105960936857164264861791989963906518003287519174501478561648243622059), SC_(0.9700443892246451579717997876551287135200548056387474005935306674465560506313900908566062177985487162) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(100.0), SC_(0.3834347555474465586395291403125251405405389593008695231904802071464782586691835903731927721307539629e-45), SC_(0.3349033752422838748916689259240733539203045003131547237515235304204672805448804838430882271615821179e-47), SC_(114.4911589111495046657018059419619973457772102914591518773653784978478476913074116703328547030652432), SC_(0.9999999999999999999999999999999999999999999999966509662475771612510833107407592664607969549968684528) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.00029933368205092847347259521484375), SC_(6.65558792122502145790203122705781927392537710568382982650902879917995730340091807239175568813213068), SC_(0.2025490756976798423479118675089777352736957583605687315155725757125233270513154513279880668403039601), SC_(26.20354954113990720677295171562168818585244384318224849305166810303853836693243368037159645376977416), SC_(0.7974509243023201576520881324910222647263042416394312684844274242874766729486845486700376252368081425) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.01496668346226215362548828125), SC_(3.412781457563949627493849132800205293732370924443084983071137019169168281694119440771156646106558311), SC_(0.1038609568334763548457972777288529241469923900253962807775257423932593724995787612069914513230733471), SC_(29.44635600480097903718113380987930216604545002442299333648955988304932738863923231199219549579534653), SC_(0.8961390431665236451542027222711470758530076099746037192224742576067406275004212387919853803026229454) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.02694003097712993621826171875), SC_(2.900428060083442521700414212209539293181960970813005023783465175158447954051342500859962243168594771), SC_(0.08826853910591643763067442789157912471708232570630547469480133709625147782109251555169415725060617567), SC_(29.95870940228148614297456873046996816659585997805307329577723172706004771628200925190338989873331007), SC_(0.9117314608940835623693255721084208752829176742936945253051986629037485221789074844474329514837168865) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.0299333669245243072509765625), SC_(2.80837448661732195170761906499999493821123607368254428592631444869917451230049026839722143354330746), SC_(0.08546707867283131075432095045307988463257577828543753893332063453617336634663328499785869123628549113), SC_(30.05076297574760671296736387767951252156658487518353403363438245351932115803286148436613070835859738), SC_(0.9145329213271686892456790495469201153674242217145624610666793654638266336533667150012954175041413206) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.0329267047345638275146484375), SC_(2.725101221535109535021413719100843696433626664532974402284107300109171958371467977939595309468299124), SC_(0.08293282879553038976697110966809591185042939605421337827594738688004093044577294705637033103753406651), SC_(30.13403624082981912965356922357866376334419428433310391727658960210932371196188377482375683243360572), SC_(0.9170671712044696102330288903319040881495706039457866217240526131199590695542270529428082023784467733) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.059866733849048614501953125), SC_(2.204476228650003963881192397589198776933448409172425381454446680594408859247730852369919972696722456), SC_(0.06708868214130365722661165568506456062512493800386324405219217526484257111958289695748025178580326486), SC_(30.65466123371492470079379054509030868284437253969365293810625022162408681108562090039343216920518239), SC_(0.9329113178586963427733883443149354393748750619961367559478078247351574288804171030418509848600074949) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(100.0), SC_(0.4229279999195938340595688371433305871889682449285871973650802503052523480463068726888829167170666972e-45), SC_(0.1287094040140258076521551344643561104581741100997942473491238945795244936062181105143232448905621274e-46), SC_(32.85913746236492866467498294267950745977782094844315031964110306815892683319002116589180337092808888), SC_(0.9999999999999999999999999999999999999999999999871290595985974192347844865535643889541825889900205753) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.00051242602057754993438720703125), SC_(5.750398977913244900274962421353297368031325639433868586950794911944578215691256892664192413362591034), SC_(0.3028722400658670309060582521260906731221817754690304799285207885428553696560930593067285904368322388), SC_(13.23582100930869053226053270179389011404206015970023183245494980462996606312399917775634092248377199), SC_(0.6971277599341329690939417478739093268778182245309695200714792114571446303439069406900635548967258876) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.025621302425861358642578125), SC_(2.832141251899738927184198830918552560705390731127443324742929027769956627452021708549562866974237375), SC_(0.1491682522274481432092518761039267269452211637367753155145843941704919377471471128043007783037985871), SC_(16.15407873532219650535129629222863492136799506800665709466281568880458765136323436187097046887212565), SC_(0.85083174777255185679074812389607327305477883626322468448541560582950806225285288719409849230013501) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.0461183451116085052490234375), SC_(2.354535041475650840188296544626824459348071689176520405240621833882890783690260790374595349243249817), SC_(0.1240128389463671496190159389825520574179898719077050768343103933526658807883438828524452225211835791), SC_(16.63168494574628459234719857852036302272531410995758001416512288269165349512499528004593798660311321), SC_(0.8759871610536328503809840610174479425820101280922949231656896066473341192116561171462170724905049019) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.05124260485172271728515625), SC_(2.268581955935316913153430290814781029572894726877321715668417204937011887527880456166238463358814554), SC_(0.119485708975357549703407111440249731302572941365773848592259365032731048905891169977364697529085816), SC_(16.71763803128661851938206483233240645250049107225677870373732751163753239128737561425429487248754847), SC_(0.8805142910246424502965928885597502686974270586342261514077406349672689510941088300213449330467672867) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.0563668645918369293212890625), SC_(2.190826928493114755175474738392958609573869639135473828240129903375769251681938201165488344589073467), SC_(0.1153903689079543131568507907786239460633868239209515305709967719710419887432512190607714956691512904), SC_(16.79539305872882067736002038475422887249951615999862659116561481319877502713331786925504499125728956), SC_(0.8846096310920456868431492092213760539366131760790484694290032280289580112567487809379809556858218957) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.1024852097034454345703125), SC_(1.705832980948029655675174791358196762256920326164848611959849532446454449849713723349992966594024533), SC_(0.08984584514959194964111225566819986886942747214355191893796722859826575799935451129133496979377311521), SC_(17.2803870062739057768603203317889907198164654729692518074458951841280898289655423470705403692523385), SC_(0.9101541548504080503588877443318001311305725278564480810620327714017342420006454887076845744989248092) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(100.0), SC_(0.4666332762470370840214357140870669083484141793110941527015291021554978221892371620740912810024635374e-45), SC_(0.2457747126921997105292850810706506718048727997191850109419737442424277356633748861407006331354595514e-46), SC_(18.98621998722193543253549512314718748207338579866746714315870763255310856472818916227141762310922602), SC_(0.9999999999999999999999999999999999999999999999754225287307800289470714918929349328195127200280814989) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/jacobi_elliptic.ipp b/src/boost/libs/math/test/jacobi_elliptic.ipp
new file mode 100644
index 00000000..a8138804
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_elliptic.ipp
@@ -0,0 +1,414 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 400> jacobi_elliptic = {{
+      {{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7384321813508780300050309993112921610348339609531096226291156957843807163438391463300771570266454611e-02), SC_(9.9524685071841496279438927849850673342525676921414792528840427410727111940782381944976305408868157855e-01), SC_(9.9995488439733316729114394585903874689886199946693440341361736436672692239264636048488084336908171547e-01) }},
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+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.0917470232222200804623180098129133036872476212345687946408231027401224355414186080302191412417315445e-01), SC_(5.8756812466448807626035048020623505899237385118588318521559957175811892777170782847243623726402163039e-01), SC_(8.5917067186634159636297999262881680727474209461119658335870527906879501356002165645327808755884914641e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8807119444979816800923969304385287292785209340565035630430040254664427368175755115143127657804319275e-01), SC_(6.1558410674616056493571795007635947841655775384258519636348871522168706473724532307349806008226940840e-01), SC_(7.6665429525726110361447413684552291171054174846338591438308890401356527577849589856356276150225732188e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8533974060861189062248546305583049909685081062975650698710874051826667020351572955065423608667621888e-01), SC_(6.1906501421159166628343674250361648671913040974698965825105617076167069374238270072189557585460007272e-01), SC_(7.5496484350046113300800020039074081961933680785286101512645919124096025389484980045855949751906931482e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7518052347000925314010007943527768455040920946345973339627012081381376695222757183254277030896944957e-01), SC_(6.3173978506404235602086192410695037495356623570300207001965408561482576560706910009779017218552967902e-01), SC_(7.1202695591348996943901212719172676293237917080282599202090818283760895203386224684127468737115722039e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7403326959640178723563496098403563126044877288657909026716436291016997542128873110698916026557616324e-01), SC_(6.3314492618823376986676740088221455887438346847232176226658849048417517890369368618344349029048271542e-01), SC_(7.0723024179015572507350410631921738029759560477969903360400060435126461530726016656465837852310688792e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6712800823285619471798123561258913583803638220534736201364708009370629428320353958750416444955694982e-01), SC_(6.4149405218185064504992339458407016741795699167416304441730489787216690117110750201301703730190120252e-01), SC_(6.7857602589593721337697403304549699145452424462317392210364305668406670401778150852638680470506706518e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6593441813020686107904272195284976164911143038148978940760933715399917785398101606027733051459971132e-01), SC_(6.4291870957652293482277601636810697919275457997668849096935959115861162055784408260876292546568984644e-01), SC_(6.7366024601538257589655742562219072544530334312218911862590121331700593411003613779831508617892420325e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6547770865632652104311857431350648982519639693036504351701283181609474922881977308885338563907679349e-01), SC_(6.4346241347126103408603307544875846579869659656475523368458255827578551435308991733382243465986469958e-01), SC_(6.7178215521760534606784911003038819524570089099102635584446923804691272196126068898352982615576142014e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6528633729797841460176785222203390514942625072618331938529597075420681577693034777030027274670865291e-01), SC_(6.4369000454026378494764961458275300252507916799112249356864558832261907901572939091058344628185994802e-01), SC_(6.7099566282750678306967995163385198199449520575839393027024329721293501791261343629006364525136879702e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6130656170513378346158650596006841065509926127276492299715158864622868192915634720105938405478654273e-01), SC_(6.4839210290125166440291833468322114687478245067783826919074500661090573579759551799996853065323027448e-01), SC_(6.5470204815482800802602415811048971704607358039770120289884409108362609917793951796905679822441221683e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6070308834386404159049681239553434730978977615881969147142722819631969635063229458010769940901615571e-01), SC_(6.4910000106617422443762696869434170692368988825415526998433303308325407487195203453870690819261137407e-01), SC_(6.5224167903128336698276201258993391810194122946207851950380395682119994293224476046299862066823494348e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_elliptic_small.ipp b/src/boost/libs/math/test/jacobi_elliptic_small.ipp
new file mode 100644
index 00000000..1b0ca996
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_elliptic_small.ipp
@@ -0,0 +1,1695 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 1681> jacobi_elliptic_small = {{
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914367592725655712600281923768045401283620998764707764693e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151635920379696565170086974190992e-01), SC_(9.9999999999999999999999999999999999999999999999628966995620346223342181461431515637620350243665215080e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.0654207510961697380480472929775714874267578125000000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914356038800613310054830865914687618301634103078917338168e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151826615763590211178195021758793e-01), SC_(9.9999999999999999999999999999999999999999999999418956903357324218784742231100976423667721244640328945e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.9332300317581641024844429921358823776245117187500000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914027798723391089616386590188266692256822553895004737691e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696157244157188296862020758148130289e-01), SC_(9.9999999999999999999999999999999999999999999993452696204168490870911613561919090434443527881778962629e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.3351444949627477853937307372689247131347656250000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304913052218556582079673621348947108779104417637686162896722e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696173345926391915144123663683144195e-01), SC_(9.9999999999999999999999999999999999999999999975720048632921041975214334983463922773663246301371558079e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6399812063916385795891983434557914733886718750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304912372618758507282714946015960583626600059283156291032012e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696184562594659391558357034445701976e-01), SC_(9.9999999999999999999999999999999999999999999963367292684459290855251530901083881607676209352596350232e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(5.7301594025283009159466018900275230407714843750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304889783532888043627371778016267672955616082803704829236507e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696557391255574683748524224459833699e-01), SC_(9.9999999999999999999999999999999999999999999552776433700754495454636367587944076648284400103707184302e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1137313293829720350913703441619873046875000000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304821439689287767962044790479566381944530155678406625631702e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973697685393682827041343608589118700995e-01), SC_(9.9999999999999999999999999999999999999999998310523532852882161708648652005740665368880880910156584491e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.4214707189097453010617755353450775146484375000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304762977332560523723670737117904598123506030905571007525820e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973698650304007112032323166148527367075e-01), SC_(9.9999999999999999999999999999999999999999997247881626734957219094542687145216261006406307420236809325e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(3.8006320313144215106149204075336456298828125000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690303831976744007277642905699914309078508034857277902993981434e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973714016295563039085806793646480974079e-01), SC_(9.9999999999999999999999999999999999999999980325535429971135087765023210979692154823009643251966522036e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.0916272026645401638234034180641174316406250000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690302133731854710685114641012066105734375850645869948919458138e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973742045511601859311127502555051080985e-01), SC_(9.9999999999999999999999999999999999999999949457361664130189602800079536313829981986427076949318817789e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.0221641311147777742007747292518615722656250000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690297085106157246959147019549187034633366860135865373130072792e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973825372139737312017993425357327472681e-01), SC_(9.9999999999999999999999999999999999999999857690940760870814533399831245189911999724717703220387897201e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.8819222563924995483830571174621582031250000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690242677885948711088664385488861032724509329344622403207481410e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133974723353190001720047690056131101093059e-01), SC_(9.9999999999999999999999999999999999999998868757284550027385876551628249984105649518984138605236580531e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(4.7627768395841485471464693546295166015625000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690134933098417362621376030351507143097515536131758800073666674e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133976501660868597958778702500430601729980e-01), SC_(9.9999999999999999999999999999999999999996910332533889451002177040231472679603830330500099612602677035e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(8.8541334264391480246558785438537597656250000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909689717461858586327957602950267806604551468156898254148882224748e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133983391946035930262518846860865434979203e-01), SC_(9.9999999999999999999999999999999999999989322160265823321349052149682027615133455037665915804501555188e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.3050326092288742074742913246154785156250000000000000000000000000000000000000000000000000000000000000e-08), SC_(1.6504814008555523940913182524024344909686323523656956557466573268843129097061735969718419269903756412e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244134039408264810361040874003831061763988570e-01), SC_(9.9999999999999999999999999999999999999927632191511183545177421364285740672490570631107123629541620207e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(5.9392490925347374286502599716186523437500000000000000000000000000000000000000000000000000000000000000e-08), SC_(1.6504814008555523940913182524024344909663872080081406338583759571333756176566943414887198590991250826e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244134409965165248396214212813572057652287157e-01), SC_(9.9999999999999999999999999999999999999519543189770621643635884806523323694404582563651057704462697028e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1667648891489079687744379043579101562500000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344909588293831710191198186747356949388380517396812042654193369934302e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244135657370097707716573801601901386768273769e-01), SC_(9.9999999999999999999999999999999999998145794021824142620974495770659414222168637044587970657748003597e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.3799674409019644372165203094482421875000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344909265858679866731016390766452234122292419645132917080994605064614e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244140979102308704385651739160793286510212057e-01), SC_(9.9999999999999999999999999999999999992285046636067702713907942013032905297195860994461375719475855459e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(4.6846594159433152526617050170898437500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344908045794234673931872034147213497000375265822385091582975735928436e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244161116039055063020239008290949554874460617e-01), SC_(9.9999999999999999999999999999999999970108526902606423004774330258537078837146430522090471722713952519e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(9.3826997726864647120237350463867187500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344903093459707187946270419675021577786501184313307591933565375527000e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244242853399339366916813650688688000362016475e-01), SC_(9.9999999999999999999999999999999999880092343898322941123574529398516994582299038041465074714265274086e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1039855962735600769519805908203125000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344900557430873575286480834184767300136835270193965664311004583807788e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244284710083558477870086857644172480108004954e-01), SC_(9.9999999999999999999999999999999999833996177671340856797365910449015966708782329210939364313955500541e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(3.2917760108830407261848449707031250000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344828493076459684986213773022347093484446159289129769394585309247486e-12), SC_(9.9999999999999999999999863795557271494668646082344582907245474118849806364601873345118093854029707223e-01), SC_(9.9999999999999999999999999999999998524117356076599440004095602362538092572757468874215804799068642818e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(7.5172138167545199394226074218750000000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344486247790091707702262795314936221015531815002316170628477073465482e-12), SC_(9.9999999999999999999999863795557271494668646082344582907251122813646614652970895342707489706828991315e-01), SC_(9.9999999999999999999999999999999992303290762261561334779801430374930423054200867021151405157838736656e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.5114666894078254699707031250000000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(1.6504814008555523940913182524024343197792581537814943695196301355019723927496347050918189746703855313e-12), SC_(9.9999999999999999999999863795557271494668646082344582907272388527222151271310577616873634865441592576e-01), SC_(9.9999999999999999999999999999999968883665290214396116379872831911234710973570091992907537181511730001e-01) }},
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+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.2917760108830407261848449707031250000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233029389748956932327129091158075264859718512367948708207416066779749862612144734336172739459e-01), SC_(-8.4842294480667845443953102163404296318391883798145226147266545577967646060269205478578768927922719434e-02), SC_(9.9999999999462110451726763223295498660227375746905159152874896311796553700194885004383959875991323374e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5172138167545199394226074218750000000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233197978132686693916203190106576896483533805609341298516578495517691112332138923484292414188e-01), SC_(-8.4842294460868696775433694073450150907679394654211248232058407564229451823414329968769544117088087361e-02), SC_(9.9999999997194912839320992947154918460071662296190735712959073259087663139642400252423085776091530486e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.5114666894078254699707031250000000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439233832664977629705536669831435426827137573865519655076721199119234036829353543026053815720129e-01), SC_(-8.4842294386330588454991996610694144597747353486819290842374731164755639767707663806305724394100907510e-02), SC_(9.9999999988659564978929333754573013725483609109446164465889782429126367311703263380098309270395970454e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9863993404433131217956542968750000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439236281443624753158687038454096577564270991214083469840809539610364509563625849219075623699280e-01), SC_(-8.4842294098744151302953238350800256832596089936119182803734993418583767146069333200039628065940693344e-02), SC_(9.9999999955728084199715672255718504172741717470542761906819535951864276950458540373205623386616537109e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.3870281185954809188842773437500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439237223953724581982941629132748498983887981035908604585745857826395065250770878869942510011341e-01), SC_(-8.4842293988055044082583610914447143938044232971226932593724715633534115772196868151866529219226744951e-02), SC_(9.9999999943053090748253932656368900765792555269780716890189615989575800344105114676634210224581246448e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0660119894891977310180664062500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439263328541366719031725241577314079198743209947847909476415592779981710088614620793535022214474e-01), SC_(-8.4842290922312241463028290901886236468697679576893295365022598381737118235652753487965129582714048961e-02), SC_(9.9999999591995330997524068647525151887288634403876011421441510310561160493295521892857438617062912841e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.1949532674625515937805175781250000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439410826067431307822604787492127597668642195114647761391647693455985378034591691491702705577906e-01), SC_(-8.4842273600087509888806940837110422629864742105524848164093163940289071489404486929406333024041952399e-02), SC_(9.9999997608429891075272698981098375011760545789757386788033103243299232149774232751941797398008621709e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.3952150736004114151000976562500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439946057283654855935236752624035880191284049054750658244297828725656065644035418378639820004094e-01), SC_(-8.4842210742085271589035996870541465107472441820952998743617829037111050036348887366217833042583183538e-02), SC_(9.9999990410568885432730450661406780382747893720931957290008095471902273911676718477882188550504429360e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3331518322229385375976562500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639440713495471434923143724675451317717484796503726041028796498492176802332554253832509916871965935e-01), SC_(-8.4842120613419993829653470484176332143015609165075405322937128639532532687627013454703366335136057687e-02), SC_(9.9999980089947286502621224734144392936772145074199619421807467791812848947570762271107897628498946539e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1151232756674289703369140625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639443823016524654104629623362614491579693467989253808727772715845343535280963682357379812867245026e-01), SC_(-8.4841755427344930663007460100028833354954911466256337396719760700291713295727386906732582556927571057e-02), SC_(9.9999938272528249391312307608807398374816383372852435374472406644589615977465186408873728224171642189e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.9624670967459678649902343750000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639453448794504753671533455904797532119598152365059838083231543209853813817276459987896643847885629e-01), SC_(-8.4840624953799622786068044598030741055063642230082296390150800205369862431346329264619378174286838014e-02), SC_(9.9999808822023431586330507223399599331299259546946802809286583619824066393501989056548364182611503082e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.5537540465593338012695312500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639553077217003511353530043413808033920247930882092573188708783469515876938649937674371540560702420e-01), SC_(-8.4828923470981032069634272050225777540758810269842969047296062581637761984301166734820582381456553004e-02), SC_(9.9998468876732348097939012173864087757227234405891503826150435694363062945422284532826470182539791518e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.6911283433437347412109375000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639718000461594989260420944042571499940208837940453162707360749418854616064045702840166901838974039e-01), SC_(-8.4809549455523940355185466702194582862099119856342307034787941990006897379697771484768623427437519652e-02), SC_(9.9996250309238530117640656410289279207641184807525627009919430951232501378233250614276839898342947194e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9933363199234008789062500000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9642739273361037624425236003709998424423669985681772457419514437854858892669295864838396904074334791e-01), SC_(-8.4453839522542653735176696295242418341771308961936320935099661751459635173562095780038126996050284763e-02), SC_(9.9955509327307226870482882280431162855249849172060889261100838598526189994716425561466757382237089590e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.1242604851722717285156250000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9649068766424200577985721184356752955601723188930074293915835068113130632428255591007970917819025182e-01), SC_(-8.3703700028410244770061826214701529976799484885620218724844567694731485856500558608813841851268272143e-02), SC_(9.9869544539219827767678663556107790796001205357457841120474538750514167458555525624218345986227679244e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1201295256614685058593750000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9684313604934398930539235390129770939609825850290918420113575774717084081891501166979587762444196098e-01), SC_(-7.9396234868594807401272204725688142828934281134460946403103848657930854463427457876250364818746217174e-02), SC_(9.9374654270592187744997687020550454797638290050151265651320047733411371840069209832488090292039717367e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.3480379581451416015625000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9814934866490320978806688580871390672680066453416779059422743215014552518552147816785137038565167474e-01), SC_(-6.0810178094045119247364122651955570809342076623943187762098707626057061856818089052462136539473338148e-02), SC_(9.7214764923305873458032862854350162073206678556449933567459172269681798829001261625830288160524321418e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8987305164337158203125000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9976967292952005755481095245256024937692734652402590999991494952154282866789560889911025306718779168e-01), SC_(2.1461619006973565646536174052546379410807514047370718515791347175325100002601713407336650423975813432e-02), SC_(8.7185717081396898541065289390703478456116878515433892820948672390341209634334005744800539221410270970e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5183129310607910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.8539034324839560936682949899637621959818856082648192169501428326661400191997487509531927187367953439e-01), SC_(1.7031110190709553832350904690514019306839852576492774590778059270526592192267334810770243087477878657e-01), SC_(6.7167349511579774208520897966660216379314520347464078477957664271219777907511857160535742769433089892e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.0815375315288640577475196367102453532926947422123146010409415723479279392954356853433706994064428463e-01), SC_(9.1291320167210457006284950226993895289063450955873095160130726593569036267152905012436288527918734100e-01), SC_(-7.3708797978087103688004545584461400336979146221355035197387826317949437602283858594803646637152865976e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_large_phi.ipp b/src/boost/libs/math/test/jacobi_large_phi.ipp
new file mode 100644
index 00000000..a9a716fa
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_large_phi.ipp
@@ -0,0 +1,314 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 300> jacobi_large_phi = {{
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1058797357690320086682997888107252211628291495151688601393407863373061954395848396257429511756176811e-01), SC_(-9.9386633915238026812869743952282655015178929533806734450981604274006648191113417152643248132020074274e-01), SC_(9.9990138922139577345821742312959843927086669798900631576940452344894647029651168866543336495621319962e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.9796027195728077189442848498661232305049387865637023002287165495702857395230146075769449539819678763e-02), SC_(-9.9980403945336507845151345500450800737097833473134761034812701539547907788852267602747381881654129683e-01), SC_(9.9999640368228571150326548705630160155372276544820513372782759452847671460675392468118278515564642670e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.4524463054363015830543554229266024611315133648646726829860103132985305860006657410579310878453671719e-01), SC_(-3.2636266396209619739852328880763978392918068940083223909131243802010656037702645968281828914985898722e-01), SC_(9.7793033147839850499560648584765033296353170435094191917820984988398156187728059208365609303718763468e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.8467092829206275416395221453254971947309775360749050985209931262282264520459122402381792953068010283e-02), SC_(9.9925986748656589242807594841179280186636858779886436718703277243900358292074844422479042190466225049e-01), SC_(9.9992973546117087872258976240789404601766963067622683679015332787486976781350082685530756477017893531e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1828487869642382837142082205368890409594444563859603885036504087100530651689815737374300479572152806e-01), SC_(-5.7481288894454945115324043802657481607935129579981996144467071525751961910351319915758240211691782206e-01), SC_(8.5571342814553735162229894739444873282853333740663537333659164564589208017713251914590680386027272809e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.0342555778181684908553725700040860110642531214149151205515131896190048290879021057059409802362096946e-01), SC_(5.9540521756445540531188114127706021212880690887199697020660799772318324844598317460087416642725615927e-01), SC_(7.5600167963587697285196939810169457229824831904454088987922148028116675585554507425145383067593756070e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-5.2923808769191278344096906576129452977508979277324972114028585485897292732749175191104387817153243622e-01), SC_(-8.4847336230208620189522999730668948980498026956351676759653713074643763505826560196595716137493813219e-01), SC_(8.9705533240946393665356057247371866574922627996248245980741140274917656623741748929349898927165638735e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-4.3588329433998778344118299461470119260462800471832395414994779852496041561445544177910644873466410470e-01), SC_(-9.0000319650283441310099684480078605946721143546738341042331933310537915309970277408204072796535470377e-01), SC_(9.1875870906845118047635806822648200063819834288643294354356983053626866318919800547192402870664676236e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.5600856122085672092800268968580894468432579079804656774052584258946328842723868281852714693291460848e-01), SC_(2.9333876469438444648579701071867907567539764964724421796135027276816072964646665290023055039395020032e-01), SC_(4.8737075577081420166881282500675564846609614724320216534645035828942396447404446035830276248915799790e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.7736452897241769061181430418007365494795330898556587924749704567000625360724157676092701517939511727e-01), SC_(-2.1156223081288422793211063644770138572453563413600394268502697586678182945457777132434950354231163677e-01), SC_(3.2141922402480394843964588019150294350276272721151544568588531146246464930473505445135251473893910091e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9634594511488441239446124536812458462568892642529680265004423990558267843732051305555937342925952892e-01), SC_(-8.5409353428812105256571523319257903922757730296962059795625764794071278796936359904999417711418506963e-02), SC_(9.9196370140536661517806007451248913316445364776565729227577579281057604045077901201671022992954940866e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.8507961426602883228803019073961981958060099984011753039084360078720386446123667023988475150255949526e-01), SC_(-1.7209925495914224056702706138188187847064943449563917074969927279924070607243598857996086522477531487e-01), SC_(9.9105478803571702730047795909209167869766318761675764394396722003662904738763622827899377822295432355e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.8248612785073414182685509102670101867866606445715181205154091509183064961414026941361152523421096695e-01), SC_(-9.8320842812805745037945796017375413735001762909773273395230181538881053153180460745843274908711290409e-01), SC_(9.9918618660790569357913493985971747365339871345709645144590218630847755475249250020453080799416154091e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.9158838874949604426827150019504117982370531426684233581077142421174586823163566938385360504094435130e-01), SC_(1.2943132270504812677590848413999258821957368076167066407580166536160746634327211207828164566323979708e-01), SC_(9.5216807427332399209612601388142889559348170701718081235058316586516533919961845371369694752105796844e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.4850849856189024097670989535486539667872022677162829380888596814546374460520548474036175153271561409e-01), SC_(9.3730562061162150476751438595734314944960838837159437927593351031354238223322792887550880643854386618e-01), SC_(9.7541351185979966500632289702714211007616769474888190781321539444569874004850576581698447098984473774e-01) }},
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+      {{ SC_(1.9715252685546875000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.2552432416186685026934526193128921379766826802420069334155189741447969109871574924231483351424206599e-01), SC_(9.4553366644396106872879025738016398857917167142462917144519103981246913164050418116860896385695109638e-01), SC_(9.5477600273005629053462961893870689852992588659840987337775533495567475431257098929765560217201525781e-01) }},
+      {{ SC_(1.9715252685546875000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-3.9412307228568629478091636297546153976117178431143042104414325984436672903094560979335786919432390159e-01), SC_(-9.1905767168991723490423535241594951632963991958559280799910799985557761425472976757206816773545655546e-01), SC_(9.2422301160881704148508838860716761915357124551323944774087944758929470657071593948190980722116431319e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.4054705213152072851451664130651061216499217259757217431721599006205998223273563720851776196554659711e-01), SC_(-9.9007400033388392914671454535086242072251869165129442669867317682364702240378428827847175171458794744e-01), SC_(9.9984071853366842614471458726841084906264079357521344888761890568442619129819452826610841761945249390e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.5070640492058129942565255217740163494695763216559037381456171424195061110398681756028914124819463101e-01), SC_(-9.6806316866813889172199931228900862951312842168003652810485498962347027876607999917857526043808893858e-01), SC_(9.9942302452559713852269084116030636732630369591763149069010267256421389522467628458268739532812633610e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7460959847396629023213294151850600468186754526453359707119955774767291431614264354511495305616871082e-01), SC_(2.2391098803411637082502445867797619686052486034294717623183478584718412642662476193997851593899862294e-01), SC_(9.7652107100176220018304071389988193041833109679443427832086050938061220329457600374867819614433504174e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-8.7591137819560965793227178075846254493991687812511266984816459225474516690755277726181572540400781692e-01), SC_(4.8247202773577212421607049007306835524095045191215664111886203507494519542708812099117851390243407605e-01), SC_(9.6288079930202121551356736451843753542939778244370285463921850847493493915725115345472885123365413983e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-4.6250242396649649980482066020190351615612321919279456557494609907194412689120822625415608757186732226e-01), SC_(8.8661801686245645800217768700725799498166537819118235942894900353237994345457404176820430584219016246e-01), SC_(9.5627540398922768507958728734673192109735702301637317713655951281056100713965361590625156345008848052e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-1.1735531008826291520919245508896005477690524195845718339880048475212741686661323687535843820697763115e-01), SC_(-9.9308999148822744363057759901009520225182513004952136286524553869898571573704761432739426689545184600e-01), SC_(9.9541866617977664359846799474228301142404409511589411389238630589212796142638172458066619231854538725e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.5661560264047896550977697577574285271994983541443544067356972715404806414952219948705677776708497000e-01), SC_(9.6651354490325887257750254185816231220218423716636053686841904330333698328423906111679391851744157820e-01), SC_(9.7677311539491902219065627087092296908401907255979252384756489646051968319678552175412452558572875080e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.3043688031022365976100265167863985776533246242764453911544714145699594137367180026912374835735577553e-01), SC_(-9.7308727470504497158374043000785726585723147362213332885195842776034698222933783780401814107209214425e-01), SC_(9.7797376965032175821022437157898388837314600109117623736975241337618528076029566654878957935590182792e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7024515945744297738657357466434755079331657796883714801833862664891641843430559561966177382852691399e-01), SC_(2.4212461780950951071551165255952297503000013061390990430320407464582844014750946659296356182356525586e-01), SC_(4.6330574762904332411829744686422163790342838342235753322328220006082956185458756739898418452935999869e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.6271921666412527706611162998623278828344436746037642935689292731054871089839252562699168099269047894e-01), SC_(-2.7050269844423550857864806232371501929916695397580524032916105445727409203649388936347088607548210605e-01), SC_(3.6052997174588038100329734639411992177585754440288098151836194079410246809516008674605501002506176314e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_near_1.ipp b/src/boost/libs/math/test/jacobi_near_1.ipp
new file mode 100644
index 00000000..3784aee1
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_near_1.ipp
@@ -0,0 +1,354 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 340> jacobi_near_1 = {{
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936124862178929657881621645181864085183918423681860187396785862520605717123413406685399380582107113e-01), SC_(3.5736462515171262671173658796361885282655550407797367368767246967565775142270960241294075546367351927e-02), SC_(3.5723133911895480121899640922445600550831965573961005650871698226561870552026541364948342613336582806e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936077436182305740265762942505880070947367818181132794898773596144577761932318153752214737153329561e-01), SC_(3.5749722613432715628553169307272741195011102329188833383668050964850356815583084732679478209132508739e-02), SC_(3.5709736745792682671599404581373263526701044801333523535341814550620045496488948203712498732057017070e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935982531025601614500364655259025282505814635665229090640399025716517540590131557526316221367105587e-01), SC_(3.5776242897411389640336798137070232128793830106896650516594399176561812055650730083125160534386857905e-02), SC_(3.5682942269816429157188838670831408020383121223997457406594651516016868258020580067207389880661065297e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935935051865263915735047486113654526010249743927673270177761276038424843029985650910155418309910845e-01), SC_(3.5789503083121607415749831967541532808130587365952231223694356024503294702063563047398592898634045898e-02), SC_(3.5669544959949864105435637819287301450816005044070102625046909813700756220300841914735887869992226382e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935411611454537922604681816673279309149514529840821022380007801210707169443456723123140131191273797e-01), SC_(3.5935367048574188596130658870586603259325678077312780894068903977052012489188410600116295423084873594e-02), SC_(3.5522171389827658240024209410574445295562666383769236088207845918964017440183503252721885546279178521e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934694373075237465634151921066970602357861542329676509188178432941256915556744220631478917655855971e-01), SC_(3.6134278130390913627609094654640317241259878826206151457813687944589213129451776496300461550369058584e-02), SC_(3.5321198095556949417067313300717675686827259252339991668193302765590470280891859038544561861120273525e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000371932983398437500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934286167753124814131392571342776632513909244848527380521892160554807524960808842808040249611793657e-01), SC_(3.6246997312365705419622654899909043653736234860893527625677781635672768579458759093245682453664911900e-02), SC_(3.5207308451560232414054205505237899944531489182512040097012760453521655141311995420890008689715696573e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9931097620864165027219465310031542946941250827291810334804095750671116621959312074419161413137564784e-01), SC_(3.7115668240402753402689250059917062222914595826608378093934126249222135687424925800143195563100714367e-02), SC_(3.4329572580251660446610503280495506358429580145905143796049996103343889948196804594921179632733199316e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9927958990572377979840922995352718001556928368962504869163503233477958808920244802834130239693182256e-01), SC_(3.7951300344632531849121062722660432211073826380488963469452361292471727250417761710007993570196150397e-02), SC_(3.3485145517244791669270158219919377826756232555597493366342767643308973856626129103762653029721538067e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9922126738572525883615985096934737542379246872162570557721278008482614426793068921887463636739257892e-01), SC_(3.9457050118640992430999735288370836965982117887075206057330612359482953959031548073429030863323308119e-02), SC_(3.1963362733204485362415093423863407199447848854193799452188513745779920844752052440282754193164327043e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9893032851875707688561830988272894258600328658118144172720086651889951652362299650709125447015552495e-01), SC_(4.6240661385928097466067420828933763850527867003804137146601696125664302459519863236590458981093024575e-02), SC_(2.5104568923475994083987155204747891917416311244009618734097942128126480441578326069647043926175848547e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9858861863794450821691883948411704365274249753358965103850267796074469645752772267528127337525272991e-01), SC_(5.3110928505928287442257797909322905597834515794113431687558113958412726965037911230281021368296317952e-02), SC_(1.8153237543155462803067836701096459698569047964241988599087152572358359059054049298308131438716438194e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9768013419211395389844759575957044763860216650562470815234213356993397846622838414826864478393798484e-01), SC_(6.8076059216184755781840577950311038573406706672675088844600265894103208744445519993559300403103933746e-02), SC_(2.9943999715622324848586115105215220299985513048294403527193588267688062368550605670306861278056228327e-03) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9275223561439943369665678089317248964119678445427980155471655857570286843157774469401717822210675502e-01), SC_(1.2017902763216197969677315152451453633920175705926357660874751861325404020389385327834653677322322067e-01), SC_(-4.9965954272454113037709486732652160303751311444701747699562340013704865808780400007504197732543057380e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.6735637154027865337130077405912181415705275746255993415024144757583603881348060995488920488911672649e-01), SC_(2.5341990932132061632299610199618871011222636428088359622618311788654236921637295363303486915660247366e-01), SC_(-1.8669803992671241292637737591564312105410623529773567523326462874859967205170061052766876529350597205e-01) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-8.9037307644999185961891548066152364082934652825389480690284822126953747572423134779233931568896247709e-01), SC_(4.5523157264515051576165746439917285541212023356220966397336337241653186704837219828020641191437049015e-01), SC_(-3.9749158628350816926566949245343979471653384960565298443009459540951029451206974073879850780006389752e-01) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-6.0719134559454416707104305589573667628292047048469766163025850056085681130949692218928367444627674035e-01), SC_(7.9455564300751576105470945564292159344239444001338371721114375059096583894484473548719583963149859832e-01), SC_(-7.6412041425334888578087126653697299732010050441086783313382612821550919553001092840088361833581189685e-01) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884941771767374068845949560764111778511322805191229385025226734820765467112509736638548364923940404e-01), SC_(4.7956654648381339311038559193943126801582338467442869043122959184810391359715831466879439189897340727e-02), SC_(4.7946733400930347798831724061773506453356261521274285436701505289849800332902629782014328403231797354e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884894542085558748198261281226665105707563473967662902233717417789919585586365668107117785676748824e-01), SC_(4.7966490716380906776917513236059635732930235137306330473936925478681743604444507244368925503697776871e-02), SC_(4.7936726935099251332962549955311982568754220652884694250178964216891229721756133703724300833417873220e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884800053322777518286027010639325944449428672631354491199619955982388715763941232935413635713386273e-01), SC_(4.7986162909457619436784171981217094349436045665061053131020958274641500350267899222178077906620064086e-02), SC_(4.7916713904809832240694854347114515405949031305739202442950366657403369649264440385034724801113437354e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884752794241685177281814388034819622266182061836822776376735766050551822913199661813487761171553118e-01), SC_(4.7995999034531894188181061791780007699592547063320373697384757078514183641285191596718326417467373772e-02), SC_(4.7906707340354307698066856396015402719730742594732622218887608495079435724059545842872281711027901343e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884232297543326038608770002890771616117881226724123750877069057326172687020106828624715574982686243e-01), SC_(4.8104197665487255566450445334046446860024366559464112650876503175575173522280411224172226191479757093e-02), SC_(4.7796632962098612434876534391677461366778071717138792900598918391188478278146891016197818628413892516e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9883520618188656094442545723741889112072524137858741950795911346620393446252964875214651661121158311e-01), SC_(4.8251744958997729782856355993831530775258031132830738841168426330430358644767129149212735614987033393e-02), SC_(4.7646525130527562772454137301364959335446518913076001744796272588168522535454015225744735632981096234e-02) }},
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+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9972263242283481540743599408497747360870457548541412998469672217116875570127792798886879974903796487e-01), SC_(2.3551183018216021253938001600501009008155573150038780116288028548084796733896793416599159415959118251e-02), SC_(4.3495699021134300166444124225546063387545267250507797699122981168308214469028322968675084635890943764e-03) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9915879545421819350530688005623615186240544270827593274622412564050735515128475466608299752025526140e-01), SC_(4.1008553576976706311793253202245137451698422113077721150856829330199964424353347050839790650622532029e-02), SC_(-1.3154931678629558158982660699935247723551027344608329867102808264119755379967383078768146573341990972e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9827648539531403745215917352563214138968446312144447102479978693505240691548978979441840473622948646e-01), SC_(5.8686103182775385959094432164210470495146664187835729337215293512993909532328740626483958923893141231e-02), SC_(-3.0893124798500284820335880409303644182778189826173654652430374404846006649343381743921738919251947699e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9526992589997827420306117917427182178979741082729092965897483434868497193943333068777040666157481100e-01), SC_(9.7148209448510965618814190119451117927847310257093339481999337817751394945307795550093447421264799168e-02), SC_(-6.9532095588469802480589239010157975152091841708321990467488846359840797625840328044562828776517609113e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7327357090730138720367359153239323902247504897821653720406237386695349159240208217001492967466592893e-01), SC_(2.2964876697546228888931649787788742930944361620108470728002449961617243383843764035729632038084809597e-01), SC_(-2.0311659859397708228829612914540972881961033272228812487026550233039579579564016302202736438925829861e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.4069051112564740388498305703743050846741943876819566564676351892344788777074732833738047977587592836e-01), SC_(5.4151589496828042658602571182616923878595213758699386834940240440502083614232854508648303249637786229e-01), SC_(-5.2063493838617445779646407770009371209785483807741597530330738738065076402146210854614754006055477215e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8671357579638665629126370168770921319757407213502466576345439294626879685237098285286502834996393092e-01), SC_(8.7356161496227327149253838986791328231133879539230423927448398220130445285498224963240552394450600870e-01), SC_(-8.6509962228485538958789361261824061503929655387763193064181839580439422746694246738587153880942281811e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-2.2293187234404279005404405123453640992362355261738577610576210777344443465871289033909805344032394449e-01), SC_(9.7483402704931233304677248889105249284034868811789307005518001217555908178599047906139783223849231970e-01), SC_(-9.7154855780636670580019454689623684007923466283994781397066875280116362115119765459157832338091463773e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_test.cpp b/src/boost/libs/math/test/jacobi_test.cpp
new file mode 100644
index 00000000..f546fa15
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_test.cpp
@@ -0,0 +1,116 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/math/special_functions/jacobi.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::jacobi;
+using boost::math::jacobi_derivative;
+
+template<typename Real>
+void test_to_quadratic()
+{
+    Real h = 1/Real(8);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                Real expected = 1;
+                Real computed = jacobi(0, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 1) + (alpha + beta +2)*(x-1)/2;
+                computed = jacobi(1, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 1)*(alpha+2)/2 + (alpha + 2)*(alpha + beta + 3)*(x-1)/2 + (alpha + beta + 3)*(alpha + beta + 4)*(x-1)*(x-1)/8;
+                computed = jacobi(2, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 1);
+
+            }
+        }
+    }
+}
+
+template<typename Real>
+void test_symmetry()
+{
+    Real h = 1/Real(4);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                for (size_t n = 0; n < 20; n += 2)
+                {
+                    Real expected = jacobi(n, beta, alpha , -x);
+                    Real computed = jacobi(n, alpha, beta, x);
+                    CHECK_ULP_CLOSE(expected, computed, 0);
+
+                    expected = jacobi(n+1, beta, alpha, -x);
+                    computed = -jacobi(n+1, alpha, beta, x);
+                    CHECK_ULP_CLOSE(expected, computed, 0);
+                }
+            }
+        }
+    }
+}
+
+template<typename Real>
+void test_derivative()
+{
+    Real h = 1/Real(4);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                Real expected = 0;
+                Real computed = jacobi_derivative(0, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + beta + 2)/2;
+                computed = jacobi_derivative(1, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 2)*(alpha + beta + 3)/2 + (alpha + beta + 3)*(alpha + beta + 4)*(x-1)/4;
+                computed = jacobi_derivative(2, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + beta + 3)*(alpha + beta + 4)/4;
+                computed = jacobi_derivative(2, alpha, beta, x, 2);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+            }
+        }
+    }
+}
+
+int main()
+{
+    test_to_quadratic<double>();
+    test_to_quadratic<long double>();
+
+    test_symmetry<float>();
+    test_symmetry<double>();
+    test_symmetry<long double>();
+
+    test_derivative<float>();
+    test_derivative<double>();
+    test_derivative<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_to_quadratic<boost::multiprecision::float128>();
+    test_symmetry<boost::multiprecision::float128>();
+    test_derivative<boost::multiprecision::float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp b/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp
new file mode 100644
index 00000000..c6de5c9d
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp
@@ -0,0 +1,412 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 400> jacobi_zeta_big_phi = {{
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.3825645481551929800008174136652897980288e-07) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1561209775097933264392436959257217711586e-06) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.3027582893266674103449235881933556827198e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.8313470835090651446772916725049858900681e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-7.2895837489838169130496172156124563857914e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.9084205195227632605192122270278261406066e-04) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.3757790605181013833497220026980002969468e-03) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.5137798214012318909260137993475897820317e-03) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-4.1250321043759855294922649541168055522732e-02) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.1733255797841120012250450040720857074103e-01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-5.5266548203382823600406049227956656227628e-07) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-8.6548245391853288934156341049653115519702e-07) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-9.7524998131479419925855284250102353982943e-06) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-3.6166941231403248935342336229365564744059e-05) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-5.4568285172556433761631957864213533099263e-05) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-6.6656066208912760581536889193679396575429e-04) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.5223679853255407639235566605367346721894e-03) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.1149286175074983572698310952196421578580e-03) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.0159952211617099245379571881616147524512e-02) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-8.1899293676737632246269682941088746684963e-02) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(1.5973163648710323074774814451342865125369e-07) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(2.5014212928599489131462724994073876508403e-07) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(2.8186671132408208175041202202807343397234e-06) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(1.0452915219897171354730817978288349142629e-05) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(1.5771188694325595931556880661299457131296e-05) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(1.9262517787431384651037157776540251106909e-04) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(7.2866495169096583957376280470403124650120e-04) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(1.1883642596249708013847732762833627490677e-03) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(8.6666014133269024670045985876541599794530e-03) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(2.3299219967082687923377637826878335739736e-02) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(3.1519672371413934349655494381723431598366e-07) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(4.9360278561651500608064392811039871665660e-07) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(5.5620478561755230968760666128351918003283e-06) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(2.0626658381774703746115937279123592027876e-05) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(3.1121192832422858336392967291653089249972e-05) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(3.8011656078691724454190554566622465515009e-04) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(1.4380294916846079165071480008125406120412e-03) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(2.3454194717665715952488483901839681854829e-03) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(1.7124821666514853683147045514724433308664e-02) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(4.6144409190515997604107395007888108540807e-02) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.8515925905417614886481997363437879581041e-07) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2295713993476195713392453698708955078442e-06) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3855218979809475582150208486014816757890e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.1382478083924861294538986348228961575117e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.7526044689406911473303641980708168044738e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.4728790122470215607693521810294815617892e-04) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5880731468313491590912831273382977484816e-03) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.8582631670192132694364572495578762106541e-03) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3532777337825399708180783078233454904328e-02) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2182479899347910050822782077307712352330e-01) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(6.0889709758634444039428087496785227917237e-07) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(9.5354229356632071160876448731466377632924e-07) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.0744873871053962527195043432262973941807e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.9848142845301837876455595103558062837508e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.0123496453163411923929419944025649407995e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(7.3484753741276268987258275628696464534000e-04) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.7857277075732601805282518600472812171839e-03) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.5515553371257778901597238362884087200453e-03) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.4255882110363891082675297540915431204227e-02) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(9.8953757984131404424212889472994604984062e-02) }}, 
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+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.5627600428980395312818746945627042541148e-07) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.1843398506202153589473807087144034818055e-06) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3345557163718042000681813224187276383032e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(4.9492628411100877415416489542034348869670e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.4674891971166454097577129763734198956430e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.1255493906145793499705946261680458924268e-04) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.4577288599585916890743466017353876377429e-03) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.6471653181570443722720851594563450742650e-03) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.2186870276446463912308351880844972940631e-02) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.1956486641941685448326969206992304822752e-01) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.0868756295782218047798887587337326072590e-07) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1098154473687638216871924459864676881227e-06) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2505734823329621256718832322762856202080e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.6377499095145430373586855961180714550054e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9974119108338568686782096247303112088450e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.5484951856127357451048673788701098095852e-04) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.2360781810118665152196673873614120109801e-03) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2809370993988956069080620498311337730782e-03) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8911983550436534418935463158757100218878e-02) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0684976463607399017628998580470925831147e-01) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.9923598331907420121669101764765860030737e-07) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.0950141247020105616515431327074803892459e-06) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2338947161106645381210289979391948283759e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.5758946362672831938401949701855128641748e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9040828096081896093891786820553323933088e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.4343888046581426401958195772714106164283e-04) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.1927796662912764937366308224732653052911e-03) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2101338638805587279548166099254870025738e-03) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8372368871098958331518506514612022658855e-02) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0526251745199890551380559137233978741051e-01) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.3393363728335693515868438926317869607519e-07) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-9.9274963340264571156632319782835264903847e-07) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.1186590696134153982443826627451056505334e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.1485330865217687570447660026071784575363e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.2592711681433336568927975148100308403399e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-7.6462036445954881862935427301929066920493e-04) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.8939006381369426966229267179322061001050e-03) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.7216825936161276113239365786143660471531e-03) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.4685646049447924294956322879211351938375e-02) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-9.4632446121508004115537037470873531858911e-02) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-3.8195699261491170692676327463232682959994e-07) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-5.9815037125439036547598790978748962688525e-07) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-6.7401197340649000056965378216901316342532e-06) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.4995516192789006839067875780335427153563e-05) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-3.7712880774811964789340900166348015996944e-05) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.6063637477845307592199853273306944118502e-04) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.7427431523756136493544100241790952018383e-03) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-2.8425417189901450651067308771147171404653e-03) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.0770722278361962934927254189610711249449e-02) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.6055790288809758391593681849456903347901e-02) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-2.1964232407331888647189612233000224419393e-07) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-3.4396316262353060630721641035310995837612e-07) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-3.8758675868941069838855157709472948791766e-06) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-1.4373506382407195926528295471279695935819e-05) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-2.1686518346490792269402557511431697458042e-05) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-2.6487565763643006266914031474602212631898e-04) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.0020000793276745923380662012184989652429e-03) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.6341758535065545100332429704195238562139e-03) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-1.1922026658866265464823507687264415862545e-02) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-3.2073185786433286097072287755914575488638e-02) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-1.4805198345055803901444912229476011265284e-07) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-2.3185161797211895634475885112977300302529e-07) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-2.6125647859821800740452788661953199127237e-06) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-9.6885923713855576799548790500281140925245e-06) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-1.4617990227466100958577022663466586152788e-05) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-1.7854008236809372358436748497675269727297e-04) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-6.7538102894925470341109584192774172832573e-04) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.1014609360042665130148750635018843551473e-03) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-8.0323861611511727563454066929805675343470e-03) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-2.1591878223978969522951378957346090491617e-02) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-4.0572371695835515865746069231094962640648e-08) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-6.3536939990292502882151721805181413745899e-08) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-7.1595081406700046780706172430098762467278e-07) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.6550742288995583998251268590056576326500e-06) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-4.0059318444599950721945084742829245905701e-06) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.8926988518252424081638924613706610506908e-05) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.8507685565288326096009377264357589918432e-04) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-3.0183125351428361046104757166887750619531e-04) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.2004276785532427708302268423805763178854e-03) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.9114315381804436668752800592214188282258e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(5.5755571495143187559388060687536611051761e-07) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(8.7314063339780103384691282354974427515825e-07) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(9.8387947210500395203451998154456226432979e-06) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.6486968352230094386519078425866927091651e-05) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(5.5051143071242795429337520244761299596489e-05) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(6.7246067225047808877486245678807548477558e-04) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.5447154456989507814754794101330708531109e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.1514150335066659382719622110290568682431e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.0430931771328451783480737415269051479250e-02) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(8.2654967310216556268536438131096611734492e-02) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.7506342706598044294884372611110599883645e-07) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2137612141858116463748911378447249126880e-06) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3677078015858226205327041211913085601090e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.0721985510788411658334965064783762138937e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.6529647323826385635416690593223323474465e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.3517640219707051160904460289107996235286e-04) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5429306362486523099105635560098425599176e-03) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.7855929368055204741541142718239308990756e-03) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3126403278908530102768512666901265265752e-02) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2157791081762235127406370295460418934550e-01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.0802326289388176773521183914932937419473e-07) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.1087753559792060226609318078416719485153e-06) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.2494082808940799095751418891272433782113e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(4.6335037749336517994292945645480413634372e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.9910842192533208090902114751695588611618e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(8.5439732035333382371837329941755254527105e-04) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.2380697311425590090465673396025068459366e-03) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.2894136476213843818944198925375900602630e-03) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.9645926472048867377800212133347240803743e-02) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.1330317355442525269065390932948568676196e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_zeta_data.ipp b/src/boost/libs/math/test/jacobi_zeta_data.ipp
new file mode 100644
index 00000000..b916e484
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_zeta_data.ipp
@@ -0,0 +1,2012 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 2000> jacobi_zeta_data = {{
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-1.1006729089963583467907843098269572845356e-31) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-1.7236698295970144145959016947731140698439e-31) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-1.9422638498398617279117828177211244185296e-30) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-7.2026704864637038803525644479822588024334e-30) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(-1.0867127196089248926209692780356244144333e-29) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(-1.3266929299546417157411720131777779883915e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(-5.0118478836802929196178304494815262279807e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(-8.1641851265188163378211459116554218225870e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(-5.8364484818394107861858615908834331235591e-27) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(-1.4993521360317912418277150838139155073844e-26) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(-4.2216116722864989513281928318898598432520e-26) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(-3.3558421911200191931338530162063762380716e-25) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(-9.1655276959555279312730312226720538839454e-25) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(-3.1675912340098097775586554632212279447483e-24) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(-2.1467978682988797134758443642933598505902e-23) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(-1.4252796617013843041257412567427611909567e-22) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(-5.5005195327285926985070172599943838463491e-22) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(-2.2886481961485191320989145143270911472787e-21) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(-8.8673337034538865547585328933457799827115e-21) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(-3.5570719341539289790045720440176217003360e-20) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(-4.9245190554541250239444203630015519100181e-20) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(-4.3782197913644311334941982375713166855507e-19) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(-2.2832360588958063050464701391957300057126e-18) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(-9.2306900566935592246186242458319229094375e-18) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(-3.6035684003460845993809318605101309416644e-17) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(-4.6352654713614789901016294119640052943394e-17) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(-3.3210054328152775183394771113945111231851e-16) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(-1.9466486111127112980026697227270986918606e-15) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(-7.8054378663215733130639186403635542152632e-15) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(-1.6206036322730862428083417721863438436922e-14) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(-5.0243833710353711135908605648465375799974e-14) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(-1.5561153111058653886174714614567372981194e-13) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(-1.2462646981196699833409888071938752948115e-12) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(-3.0520337686982819207074671989288046070447e-12) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(-3.6203289954126661019125864801166707318580e-11) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(-1.0609609640840924421635584476379467289132e-10) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(-5.0695977329332700448234780209212624465302e-10) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(-2.2276514674984449505156335913688532677831e-09) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-9.6962575673634905083418801138644936350369e-09) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-2.2839042447115574628551109751424465984779e-08) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.1076998586896134936250998473066645927443e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-5.2244881775747478632002194375496024403329e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-6.9348498593179480507594315686704811927889e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-4.7922453309442716570801806016134267346131e-06) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-3.5379104696214224366821942236561351200987e-05) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-6.0802357785475008421977299187652416883086e-05) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-6.2243124754001288495307851734175788522328e-04) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.9032354959718588866593104936846415441969e-03) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-8.0194947992159670669738942382272323760379e-03) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-2.6530713116712990143320445210493885078273e-02) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-4.3158011404997917956027429188398267038505e-31) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-6.7586075350969586688446477459725815843005e-31) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-7.6157271336257858573009378884172377459625e-30) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-2.8242081045193682745657326641513423500103e-29) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(-4.2610624431198259090669571735278392772975e-29) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(-5.2020385106164152233163126005720589279231e-28) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(-1.9651740890145267358780985817775952772810e-27) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(-3.2012234690513239463614386186424988539562e-27) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(-2.2885046782299015264205498881489696405016e-26) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(-5.8790450876066879351535052747267315551153e-26) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(-1.6553179714957067594013330687649054001651e-25) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(-1.3158448288674121996080695756083897999111e-24) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(-3.5938555914451213350776390883106809917430e-24) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(-1.2420305568202106412872486711982856883348e-23) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(-8.4177166646857856791687801438770287380416e-23) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(-5.5886026986082052771170616869558827717610e-22) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(-2.1567850247479821313457152400055489419613e-21) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(-8.9739198761121229478543935762899635667744e-21) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(-3.4769320292851092577316861034125004334673e-20) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(-1.3947481567670817346112603299759707602840e-19) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(-1.9309319582800950052399240062209744890366e-19) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(-1.7167249065991038700394285237008232761696e-18) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(-8.9526985778164303396069260825984853671380e-18) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(-3.6194061240776806155711950476371515561371e-17) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(-1.4129796858781501685945948684091946646593e-16) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(-1.8175139811574451075185833495627248914511e-16) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(-1.3021851376009107454546519776951424525112e-15) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(-7.6329200322130941489624608811983596050723e-15) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(-3.0605566258815022354621388808302493689933e-14) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(-6.3544791075487004019161560330652681802523e-14) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(-1.9700893249743481419068208260806039657402e-13) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(-6.1016167287545800139099962996306323160805e-13) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(-4.8866748345875605909020186078096004930467e-12) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(-1.1967198167686749622630742368459709776983e-11) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(-1.4195516105902923726844977866126374729743e-10) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(-4.1600883432786918177743130081566098213059e-10) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(-1.9878181329839625363974621985372729918791e-09) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(-8.7347482166866440338886305068420967419411e-09) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-3.8019577697013952821182689944333444509209e-08) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-8.9553184286704711501157113027839735110612e-08) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-4.3433538721206623610162499362125219744667e-07) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-2.0485508065445485953093206557515312610896e-06) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-2.7191927862983387591135818035598416137678e-06) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.8790603476579144920058883107784550551718e-05) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.3872003255997071152799972566472091774115e-04) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-2.3839931054003266754096842696849936600047e-04) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-2.4395136532370346879796950147689554179594e-03) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-7.4525121961809206369019032980790433917485e-03) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-3.1252110730017441382710058367997205590104e-02) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.0145099929915731008682610775484228581494e-01) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-4.6624872274367535294710462756257041961490e-31) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-7.3015230039070169953523105566364901950682e-31) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-8.2274945791551716800312414547514603924315e-30) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-3.0510752896784340750078632227348262284138e-29) }}, 
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+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(5.4332684124703488513280567384049171480482e-14) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(1.6827521989530605304354139728466291691464e-13) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(1.3476858985135689974527328713608627968882e-12) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(3.3004087157950487621492262642212367308947e-12) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(3.9149518898012625783348405292500622395573e-11) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(1.1473021199474767320055597635655801401637e-10) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(5.4821623256228069099356633063510700859775e-10) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(2.4089380643065460073514696002606729378516e-09) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.0485340402150105435295513660313623871602e-08) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(2.4697687002484480098702582959198226958470e-08) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.1978446315523459215710259870093400507932e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(5.6496577554284035918961509413443665237851e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(7.4992089004509926939662157790343265243543e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(5.1822387642104566703389417045458804391150e-06) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(3.8258251452675010927900443813512375739090e-05) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(6.5750433239703311753131891196737366136496e-05) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(6.7308171511669610299133168975537993832644e-04) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(2.0580918681937666074536199781500080423988e-03) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(8.6715641427590906504436289457225474824545e-03) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(2.8682021569841588034739558701766227484402e-02) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(1.0528401423792132759850172843337197049206e-31) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(1.6487630193991439149503473403217877312822e-31) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(1.8578574356554501230963542703593363042148e-30) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(6.8896586429057763697136499980577796409936e-30) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(1.0394866313931853197806232069772293392965e-29) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(1.2690378420784425843305107146471931844948e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(4.7940442581151750519360680465451986030269e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(7.8093880214169648735390942978847133292956e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(5.5828095707487600920230472119199923542604e-27) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(1.4341936677770193750565852463190369852169e-26) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(4.0381499333646011945658848103303714700567e-26) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(3.2100048446932946014476744483663648455793e-25) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(8.7672144971657222748730827018332446131375e-25) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(3.0299348503589543479893633695044661563339e-24) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(2.0535028661513665126419052022637405219821e-23) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(1.3633402164174163337523244205160547582336e-22) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(5.2614793374702526624069109356418783394041e-22) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(2.1891886981084121351945472799985277592325e-21) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(8.4819793442370215555134672605748239909296e-21) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(3.4024895961349738501972490182158782184167e-20) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(4.7105105441553335389722933524079579499678e-20) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(4.1879522161682169539419641957375135858207e-19) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(2.1840117601560482421267683927992215111753e-18) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(8.8295450484098262673994187518459406840730e-18) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(3.4469654305865705560936485077119259093991e-17) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(4.4338272696142257280320499993091644285567e-17) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(3.1766820134744916942538206200072536269880e-16) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(1.8620516450750453593013166543995122941271e-15) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(7.4662311094796806588554451059427531869255e-15) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(1.5501758469720922503254859304490771947741e-14) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(4.8060349814116616654266116690495883150565e-14) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(1.4884900430565558451231099450897449531155e-13) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(1.1921048401263483837835778334590017478702e-12) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(2.9193992523287708913179485317313684507412e-12) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(3.4629976479261021506315500958598675366562e-11) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(1.0148539891874561782969578188778077897121e-10) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(4.8492844289441349937637836404173346512801e-10) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(2.1308427499773881994294956118635216125026e-09) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(9.2748800435533112994988607391614703951393e-09) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(2.1846509083028390202428253673411740829528e-08) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.0595617170877165160537905984205118117264e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(4.9974436931039086645367728090485005588175e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(6.6334769140605733239391878317641631584070e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(4.5839852181691608430084984019377503151536e-06) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(3.3841612832606061108936302315388259236264e-05) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(5.8160037131104125198800938791788097672479e-05) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(5.9538315051239716664555139028924118499417e-04) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.8205381107728354608191752622126544395889e-03) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(7.6712330926966075903637212057437228675226e-03) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(2.5381192295642353146321014687386230560055e-02) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/laguerre2.ipp b/src/boost/libs/math/test/laguerre2.ipp
new file mode 100644
index 00000000..a7146ec9
--- /dev/null
+++ b/src/boost/libs/math/test/laguerre2.ipp
@@ -0,0 +1,288 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 280> laguerre2 = {{
+      {{ SC_(0.5e1), SC_(0.9754039764404296875e2), SC_(-0.56218428868911115998451316426215010600803852349048e8) }}, 
+      {{ SC_(0.5e1), SC_(0.12698681640625e3), SC_(-0.2243354877625806499089339248835065869040287604245e9) }}, 
+      {{ SC_(0.5e1), SC_(0.1354770050048828125e3), SC_(-0.31418973293934559300911242611564538290439848722478e9) }}, 
+      {{ SC_(0.5e1), SC_(0.1883819732666015625e3), SC_(-0.17256344438562512861154328485542977773202418102338e10) }}, 
+      {{ SC_(0.5e1), SC_(0.2210340576171875e3), SC_(-0.39170586692926680364193521563384606561329196831404e10) }}, 
+      {{ SC_(0.5e1), SC_(0.27849822998046875e3), SC_(-0.12743797194803555297871516510157023166259117561797e11) }}, 
+      {{ SC_(0.5e1), SC_(0.30816705322265625e3), SC_(-0.21330001890239721242857731991140245635183835676285e11) }}, 
+      {{ SC_(0.5e1), SC_(0.5468814697265625e3), SC_(-0.38928352555423736374909603306210170085670252415611e12) }}, 
+      {{ SC_(0.5e1), SC_(0.5472205810546875e3), SC_(-0.39050320967058708332723880470821630124002299400132e12) }}, 
+      {{ SC_(0.5e1), SC_(0.6323592529296875e3), SC_(-0.8097387851220286833483200510030936982898650914701e12) }}, 
+      {{ SC_(0.5e1), SC_(0.81472369384765625e3), SC_(-0.29004794312410106580901353153584987792805041014836e13) }}, 
+      {{ SC_(0.5e1), SC_(0.835008544921875e3), SC_(-0.32824640180206380842810590985413965806061220575884e13) }}, 
+      {{ SC_(0.5e1), SC_(0.90579193115234375e3), SC_(-0.49421323240476384503475902217971923134518824327159e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9133758544921875e3), SC_(-0.51537136874727263493269087352302138644536549927366e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9575068359375e3), SC_(-0.65333402285178696166233025823588675962128036189824e13) }}, 
+      {{ SC_(0.5e1), SC_(0.96488848876953125e3), SC_(-0.67904577991104770306176706554532355404413293600378e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9676949462890625e3), SC_(-0.68903095684447650874743766361869788199054585412876e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9688677978515625e3), SC_(-0.69323852072435892067304941218115151610034557760898e13) }}, 
+      {{ SC_(0.5e1), SC_(0.99288128662109375e3), SC_(-0.78400756116163888448805990221667549169323386803558e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9964613037109375e3), SC_(-0.79831715395647963750699081595768764433417262009011e13) }}, 
+      {{ SC_(0.6e1), SC_(0.9754039764404296875e2), SC_(0.80820995722555766966204481326428921093819853380883e9) }}, 
+      {{ SC_(0.6e1), SC_(0.12698681640625e3), SC_(0.43287285333593211699487383676400548034517465653989e10) }}, 
+      {{ SC_(0.6e1), SC_(0.1354770050048828125e3), SC_(0.65078719322668723671436292885961437403753159577959e10) }}, 
+      {{ SC_(0.6e1), SC_(0.1883819732666015625e3), SC_(0.50975971206548972048503974573840505796401940705308e11) }}, 
+      {{ SC_(0.6e1), SC_(0.2210340576171875e3), SC_(0.13704228670315682904098855918609456694715553605731e12) }}, 
+      {{ SC_(0.6e1), SC_(0.27849822998046875e3), SC_(0.56796012600833411397117536544899859778691289306697e12) }}, 
+      {{ SC_(0.6e1), SC_(0.30816705322265625e3), SC_(0.10561318402049538938483073960821297722447423948919e13) }}, 
+      {{ SC_(0.6e1), SC_(0.5468814697265625e3), SC_(0.34765288907987505446684019181571310232694381424255e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5472205810546875e3), SC_(0.34896286395332650547095052626160857783947143332365e14) }}, 
+      {{ SC_(0.6e1), SC_(0.6323592529296875e3), SC_(0.83851035075753307874674729684024391015233495095035e14) }}, 
+      {{ SC_(0.6e1), SC_(0.81472369384765625e3), SC_(0.38851567401648686934604173193933429726823924901636e15) }}, 
+      {{ SC_(0.6e1), SC_(0.835008544921875e3), SC_(0.45077984162776358272899308358214843622672411937698e15) }}, 
+      {{ SC_(0.6e1), SC_(0.90579193115234375e3), SC_(0.73700705849391831486587833923818658629022423687651e15) }}, 
+      {{ SC_(0.6e1), SC_(0.9133758544921875e3), SC_(0.77507405395421988441046439866170936792437945158589e15) }}, 
+      {{ SC_(0.6e1), SC_(0.9575068359375e3), SC_(0.10306131640131364207923517549718197693249532864712e16) }}, 
+      {{ SC_(0.6e1), SC_(0.96488848876953125e3), SC_(0.10795269882491233868704393921117749304908016202882e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9676949462890625e3), SC_(0.10986241099950023947147288133858596641922819961585e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9688677978515625e3), SC_(0.11066879989104805588335103036958066630483588267248e16) }}, 
+      {{ SC_(0.6e1), SC_(0.99288128662109375e3), SC_(0.12829707187512957309933510816037300428272415242332e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9964613037109375e3), SC_(0.13111507527148485594511524621819926397653608283432e16) }}, 
+      {{ SC_(0.7e1), SC_(0.9754039764404296875e2), SC_(-0.97127257986443053526417273414388194974570607385935e10) }}, 
+      {{ SC_(0.7e1), SC_(0.12698681640625e3), SC_(-0.70295995953992755265946027355243029063331213138355e11) }}, 
+      {{ SC_(0.7e1), SC_(0.1354770050048828125e3), SC_(-0.11359707497453571901517561189586228142270903451764e12) }}, 
+      {{ SC_(0.7e1), SC_(0.1883819732666015625e3), SC_(-0.12757018018175550435561074775586631022961625260251e13) }}, 
+      {{ SC_(0.7e1), SC_(0.2210340576171875e3), SC_(-0.40694229451399857384340512241235666223436876850873e13) }}, 
+      {{ SC_(0.7e1), SC_(0.27849822998046875e3), SC_(-0.21530849338789697137868260826250260284211997386438e14) }}, 
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+      {{ SC_(0.32e2), SC_(0.1883819732666015625e3), SC_(0.28266779160071220855863136752236809118289513550655e35) }}, 
+      {{ SC_(0.32e2), SC_(0.2210340576171875e3), SC_(0.16043258633437377313296386512455676335765088879499e38) }}, 
+      {{ SC_(0.32e2), SC_(0.27849822998046875e3), SC_(0.98152083075443552200456383499687746658509404557554e41) }}, 
+      {{ SC_(0.32e2), SC_(0.30816705322265625e3), SC_(0.39660303068870304789061389710467952730805922359184e43) }}, 
+      {{ SC_(0.32e2), SC_(0.5468814697265625e3), SC_(0.2124691778655363299602608193872213697408649234399e52) }}, 
+      {{ SC_(0.32e2), SC_(0.5472205810546875e3), SC_(0.21701146117737990401627817320898898731158045140974e52) }}, 
+      {{ SC_(0.32e2), SC_(0.6323592529296875e3), SC_(0.29453956822267682637622660585710995711330784866261e54) }}, 
+      {{ SC_(0.32e2), SC_(0.81472369384765625e3), SC_(0.14579187010342463619209867543395472012389261100613e58) }}, 
+      {{ SC_(0.32e2), SC_(0.835008544921875e3), SC_(0.33104915961295333458609667123641141490590693664242e58) }}, 
+      {{ SC_(0.32e2), SC_(0.90579193115234375e3), SC_(0.49617254391613681021336977691940022261460402301085e59) }}, 
+      {{ SC_(0.32e2), SC_(0.9133758544921875e3), SC_(0.65447509655180124047279400990868215055245034097822e59) }}, 
+      {{ SC_(0.32e2), SC_(0.9575068359375e3), SC_(0.31314186002835766887651202030265122705420348145384e60) }}, 
+      {{ SC_(0.32e2), SC_(0.96488848876953125e3), SC_(0.40390183129399277888276794404622531827627609452775e60) }}, 
+      {{ SC_(0.32e2), SC_(0.9676949462890625e3), SC_(0.44470349220352623223005295792036557179541953880227e60) }}, 
+      {{ SC_(0.32e2), SC_(0.9688677978515625e3), SC_(0.46291347880797126364720392445817548485904681626203e60) }}, 
+      {{ SC_(0.32e2), SC_(0.99288128662109375e3), SC_(0.10414215853249607927566783846023113314868365327492e61) }}, 
+      {{ SC_(0.32e2), SC_(0.9964613037109375e3), SC_(0.11731839293063017507522289233426225751615807834469e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9754039764404296875e2), SC_(-0.15519766552964914960282162902087252393890944756729e21) }}, 
+      {{ SC_(0.33e2), SC_(0.12698681640625e3), SC_(-0.49834394329409786429107636406724247060325054488444e27) }}, 
+      {{ SC_(0.33e2), SC_(0.1354770050048828125e3), SC_(-0.19840581047253598115611184022145906036118542457808e29) }}, 
+      {{ SC_(0.33e2), SC_(0.1883819732666015625e3), SC_(-0.98212428153399951310107146404282928611923578181199e35) }}, 
+      {{ SC_(0.33e2), SC_(0.2210340576171875e3), SC_(-0.72578044049144687694845377262857641629094641588691e38) }}, 
+      {{ SC_(0.33e2), SC_(0.27849822998046875e3), SC_(-0.62057397100619303564513894784492557621908539158042e42) }}, 
+      {{ SC_(0.33e2), SC_(0.30816705322265625e3), SC_(-0.28714296782385167119124999018599500804762523101335e44) }}, 
+      {{ SC_(0.33e2), SC_(0.5468814697265625e3), SC_(-0.30888931981090919336348667046948287489524269522361e53) }}, 
+      {{ SC_(0.33e2), SC_(0.5472205810546875e3), SC_(-0.31571691597216716720754649436373448511713945451381e53) }}, 
+      {{ SC_(0.33e2), SC_(0.6323592529296875e3), SC_(-0.50478315840421718669131419020872977517323737909924e55) }}, 
+      {{ SC_(0.33e2), SC_(0.81472369384765625e3), SC_(-0.33062025262205293767486203308022299641518265442287e59) }}, 
+      {{ SC_(0.33e2), SC_(0.835008544921875e3), SC_(-0.77112383731383286471230156867910260520520657245124e59) }}, 
+      {{ SC_(0.33e2), SC_(0.90579193115234375e3), SC_(-0.1262346064599467935961005524047195599692654321956e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9133758544921875e3), SC_(-0.16801567279045565630405655696613192336457136904877e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9575068359375e3), SC_(-0.84582529186776869237021206078881700754491798000552e61) }}, 
+      {{ SC_(0.33e2), SC_(0.96488848876953125e3), SC_(-0.11000226620410340743835989544374720411357868296468e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9676949462890625e3), SC_(-0.12149322908840894133499880791452022966588461024746e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9688677978515625e3), SC_(-0.12663293722507282266407117288015925037770799060973e62) }}, 
+      {{ SC_(0.33e2), SC_(0.99288128662109375e3), SC_(-0.29247499878319565468778047006263649127299274582216e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9964613037109375e3), SC_(-0.33075364818279888462182974219279083273759877224615e62) }}, 
+      {{ SC_(0.36e2), SC_(0.9754039764404296875e2), SC_(-0.14202381258875603292784398243371786895083677644968e21) }}, 
+      {{ SC_(0.36e2), SC_(0.12698681640625e3), SC_(-0.99689260408784512857796674097683890787134923850651e23) }}, 
+      {{ SC_(0.36e2), SC_(0.1354770050048828125e3), SC_(0.33085802053384704162061389949004801316875589574167e29) }}, 
+      {{ SC_(0.36e2), SC_(0.1883819732666015625e3), SC_(0.29691002837109064218075098689453177656242661416649e37) }}, 
+      {{ SC_(0.36e2), SC_(0.2210340576171875e3), SC_(0.50722869577926074483465513588442579657337298353026e40) }}, 
+      {{ SC_(0.36e2), SC_(0.27849822998046875e3), SC_(0.12276018084343264808614960453898425578975135870535e45) }}, 
+      {{ SC_(0.36e2), SC_(0.30816705322265625e3), SC_(0.86176792520194608969749051518980054897501919421191e46) }}, 
+      {{ SC_(0.36e2), SC_(0.5468814697265625e3), SC_(0.77496906300517296899212867022166471009005365376408e56) }}, 
+      {{ SC_(0.36e2), SC_(0.5472205810546875e3), SC_(0.79380346709534996703125888877181202810222361959297e56) }}, 
+      {{ SC_(0.36e2), SC_(0.6323592529296875e3), SC_(0.20837628323063930783612574671644907853428390635937e59) }}, 
+      {{ SC_(0.36e2), SC_(0.81472369384765625e3), SC_(0.31805284832302734783735872178451062267986916005535e63) }}, 
+      {{ SC_(0.36e2), SC_(0.835008544921875e3), SC_(0.80427224577995045297081384061933456722295034711368e63) }}, 
+      {{ SC_(0.36e2), SC_(0.90579193115234375e3), SC_(0.17180125938368536870586199334103942944296763636498e65) }}, 
+      {{ SC_(0.36e2), SC_(0.9133758544921875e3), SC_(0.2349585543781729049082862094571853647181110727758e65) }}, 
+      {{ SC_(0.36e2), SC_(0.9575068359375e3), SC_(0.13788032216346989091599957999852901194859847097388e66) }}, 
+      {{ SC_(0.36e2), SC_(0.96488848876953125e3), SC_(0.18383754088256510557951005527578044897458936835611e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9676949462890625e3), SC_(0.20496108373672385020966386552222912655862108987654e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9688677978515625e3), SC_(0.21447176171446511024838576925006696393416059852805e66) }}, 
+      {{ SC_(0.36e2), SC_(0.99288128662109375e3), SC_(0.53619191227443818889184097649341805455543103147757e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9964613037109375e3), SC_(0.6134634193224111642857607073780448563124536964454e66) }}, 
+      {{ SC_(0.38e2), SC_(0.9754039764404296875e2), SC_(0.13026109621262939918139850088931337407072881569374e21) }}, 
+      {{ SC_(0.38e2), SC_(0.12698681640625e3), SC_(-0.39045802697684580087249595226480504736900650572604e27) }}, 
+      {{ SC_(0.38e2), SC_(0.1354770050048828125e3), SC_(0.4703084156408515882792903403585270483597230661564e28) }}, 
+      {{ SC_(0.38e2), SC_(0.1883819732666015625e3), SC_(0.21811950666425589665298269088166544127028329061958e38) }}, 
+      {{ SC_(0.38e2), SC_(0.2210340576171875e3), SC_(0.68226335876612312689262066243026383595759661918497e41) }}, 
+      {{ SC_(0.38e2), SC_(0.27849822998046875e3), SC_(0.3417431296914681619225852746415756851618849310483e46) }}, 
+      {{ SC_(0.38e2), SC_(0.30816705322265625e3), SC_(0.31970819524145633109548465679514234447503951190819e48) }}, 
+      {{ SC_(0.38e2), SC_(0.5468814697265625e3), SC_(0.12178742579145686663348414006307088453127654992376e59) }}, 
+      {{ SC_(0.38e2), SC_(0.5472205810546875e3), SC_(0.12492841620300639426815182320836485753685517201536e59) }}, 
+      {{ SC_(0.38e2), SC_(0.6323592529296875e3), SC_(0.45810661530573839216333825165973798523285084973924e61) }}, 
+      {{ SC_(0.38e2), SC_(0.81472369384765625e3), SC_(0.12351347140304796554466586331231292139128275112892e66) }}, 
+      {{ SC_(0.38e2), SC_(0.835008544921875e3), SC_(0.32975853153845151581573454625890910497305801446349e66) }}, 
+      {{ SC_(0.38e2), SC_(0.90579193115234375e3), SC_(0.84216312274962467518837779101216307869158288654706e67) }}, 
+      {{ SC_(0.38e2), SC_(0.9133758544921875e3), SC_(0.11729374185740406136241147249355309364674121773484e68) }}, 
+      {{ SC_(0.38e2), SC_(0.9575068359375e3), SC_(0.76287452793236059887210998415733522854114359820263e68) }}, 
+      {{ SC_(0.38e2), SC_(0.96488848876953125e3), SC_(0.10342759141411866835170522110986503338234205828331e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9676949462890625e3), SC_(0.11604186211493955868813819686880547173842867350967e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9688677978515625e3), SC_(0.12174646477307642518592858476271949696633470067733e69) }}, 
+      {{ SC_(0.38e2), SC_(0.99288128662109375e3), SC_(0.32098315809650975303906367704092470560267558301581e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9964613037109375e3), SC_(0.37011679718261969297940214190611219199030995011675e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9754039764404296875e2), SC_(-0.81788056310459660065120382039447835033044197049489e20) }}, 
+      {{ SC_(0.39e2), SC_(0.12698681640625e3), SC_(0.22229715039776080683928576767759683825519547792559e27) }}, 
+      {{ SC_(0.39e2), SC_(0.1354770050048828125e3), SC_(0.15550461280029801190156888344119462891700106953436e29) }}, 
+      {{ SC_(0.39e2), SC_(0.1883819732666015625e3), SC_(-0.54226895058411233344275595074274527247091920347531e38) }}, 
+      {{ SC_(0.39e2), SC_(0.2210340576171875e3), SC_(-0.23342183174200163814210714804874246930233709812346e42) }}, 
+      {{ SC_(0.39e2), SC_(0.27849822998046875e3), SC_(-0.17013038203469478431364477259901167967979013129897e47) }}, 
+      {{ SC_(0.39e2), SC_(0.30816705322265625e3), SC_(-0.18429253515276943444879261921619357066598024943888e49) }}, 
+      {{ SC_(0.39e2), SC_(0.5468814697265625e3), SC_(-0.14577093593047894021012074885872239431277128765197e60) }}, 
+      {{ SC_(0.39e2), SC_(0.5472205810546875e3), SC_(-0.14963982369811780116397608759812127691336981298577e60) }}, 
+      {{ SC_(0.39e2), SC_(0.6323592529296875e3), SC_(-0.6492862403071900096406830281442380096038500168606e62) }}, 
+      {{ SC_(0.39e2), SC_(0.81472369384765625e3), SC_(-0.23301820931113238390488179765094297019115309966495e67) }}, 
+      {{ SC_(0.39e2), SC_(0.835008544921875e3), SC_(-0.6393122118320767120277111175042508309950280050084e67) }}, 
+      {{ SC_(0.39e2), SC_(0.90579193115234375e3), SC_(-0.1785926484809201389439108598459489796533771170743e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9133758544921875e3), SC_(-0.25102368049271316850934544583200188325859894245069e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9575068359375e3), SC_(-0.17191430467481203804500407886563167282958450012617e70) }}, 
+      {{ SC_(0.39e2), SC_(0.96488848876953125e3), SC_(-0.2350360204862166230883463530178770075607651772555e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9676949462890625e3), SC_(-0.26453813089044823183666856904573749479668606778886e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9688677978515625e3), SC_(-0.27790958611107454497958236687689216620181150284596e70) }}, 
+      {{ SC_(0.39e2), SC_(0.99288128662109375e3), SC_(-0.75250430660256030378942490914723092683335523198301e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9964613037109375e3), SC_(-0.87109521955089946525219892186343098358449543636311e70) }}
+   }};
+
diff --git a/src/boost/libs/math/test/laguerre3.ipp b/src/boost/libs/math/test/laguerre3.ipp
new file mode 100644
index 00000000..8c8efe92
--- /dev/null
+++ b/src/boost/libs/math/test/laguerre3.ipp
@@ -0,0 +1,2248 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 2240> laguerre3 = {{
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9754039764404296875e2), SC_(0.61248773400035441372705568899743424188675775638604e9) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.12698681640625e3), SC_(0.35204789737752362425049635886299775785128782532338e10) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.1354770050048828125e3), SC_(0.53680020529340456542399945558001901900007952546989e10) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.1883819732666015625e3), SC_(0.44534031167752568381323984620072514172994661540171e11) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.2210340576171875e3), SC_(0.12226434763229329677261432059244153549746269983841e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.27849822998046875e3), SC_(0.51928144111428742292292453631991614690587389994904e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.30816705322265625e3), SC_(0.97428426563622634057559347373791034771828164883086e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.5468814697265625e3), SC_(0.3324381244018248505151003408444078258062512743881e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.5472205810546875e3), SC_(0.33370020703520225304974334354074929274249826530701e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.6323592529296875e3), SC_(0.80676208197265431223389966116130786752172758946929e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.81472369384765625e3), SC_(0.37709198164073899574491439717306334644653651087643e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.835008544921875e3), SC_(0.43784677681230003590939175326930086254310296977861e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.90579193115234375e3), SC_(0.71751164134703529160531275753374390004620108776236e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9133758544921875e3), SC_(0.75474163633107959381273333540455867778846765466731e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9575068359375e3), SC_(0.10048213277050885981803871378237693755448856069989e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.96488848876953125e3), SC_(0.10527174037983159903287634170928938343127358723874e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9676949462890625e3), SC_(0.10714192604719650298629709048594099989758377336641e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9688677978515625e3), SC_(0.10793165886036598413491640043052411777219226808173e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.99288128662109375e3), SC_(0.12520056327602887353590139034934048397213872282597e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9964613037109375e3), SC_(0.12796190491413846860531891431736127176350842769258e16) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9754039764404296875e2), SC_(0.57021748735352796844833665641714981145537658965832e9) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.12698681640625e3), SC_(0.33392337350031500089312750393952812869969520242424e10) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.1354770050048828125e3), SC_(0.51104706607057706503593300411908865340079809564711e10) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.1883819732666015625e3), SC_(0.43033684039351042149204372971415695875947452322601e11) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.2210340576171875e3), SC_(0.11878421144708082332834762334306478479136415095637e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.27849822998046875e3), SC_(0.50766913019696586493282931975810537104713641422173e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.30816705322265625e3), SC_(0.95466760718538857591082062972549747072346150612994e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.5468814697265625e3), SC_(0.32872226240917190297091739750525454366627699186064e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.5472205810546875e3), SC_(0.32997259328655255330496759553150199138853700279145e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.6323592529296875e3), SC_(0.79898329260889892967192058996859678757129709781078e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.81472369384765625e3), SC_(0.37428017493482775405894670005457409154697608991328e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.835008544921875e3), SC_(0.43466223450876443481509940956447737669130708637296e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.90579193115234375e3), SC_(0.71270545904261412829731553082318032163659205189309e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9133758544921875e3), SC_(0.7497285196890962326633452898612092751671091947701e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9575068359375e3), SC_(0.99845803303929955008572627409241608030868175838179e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.96488848876953125e3), SC_(0.10461023358117816588476498791118019449318399295782e16) }}, 
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+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.81472369384765625e3), SC_(-0.86157318204398801067418464221683001202735009451485e78) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.835008544921875e3), SC_(-0.3229794917111444064930798736319578366982249750048e79) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.90579193115234375e3), SC_(-0.24997713010410319875351696557857678569354844836328e81) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9133758544921875e3), SC_(-0.38959675198826857041536767909021901669084098876338e81) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9575068359375e3), SC_(-0.47698754627870214398837894364370617412641440207875e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.96488848876953125e3), SC_(-0.7163777266035546050195813883475085233727823154041e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9676949462890625e3), SC_(-0.83543571310763374889834849414881575556735386136858e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9688677978515625e3), SC_(-0.89074864582832301584239019351245730273845614840483e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.99288128662109375e3), SC_(-0.32501886194029633537695219597823561980219500935259e83) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9964613037109375e3), SC_(-0.39305507139881250084440920416798458859478419817795e83) }}
+   }};
+
diff --git a/src/boost/libs/math/test/lambert_w_high_reference_values.ipp b/src/boost/libs/math/test/lambert_w_high_reference_values.ipp
new file mode 100644
index 00000000..bcbd824b
--- /dev/null
+++ b/src/boost/libs/math/test/lambert_w_high_reference_values.ipp
@@ -0,0 +1,933 @@
+
+
+// A collection of big Lambert W test values computed using 100 decimal digits precision.
+// C++ floating-point type is RealType.
+
+// Written by I:\modular-boost\libs\math\test\lambert_w_high_reference_values.cpp Tue Oct 10 14:32:47 2017
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Size of arrays of arguments z and Lambert W
+static const unsigned int noof_tests = 450;
+
+// Declare arrays of arguments z and Lambert W(z)
+
+template <typename RealType>
+static RealType zs[450];
+
+template <typename RealType>
+static RealType ws[450];
+// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure
+// that both built-in and multiprecision types are correctly initialiased with full precision.
+// built-in types like float, double require a floating-point literal like 3.14,
+// but multiprecision types require a decimal digit string like "3.14".
+// Numerical values are chosen to avoid exactly representable values.
+
+template <typename RealType>
+void init_zws()
+{
+  zs<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, 0.5999999999999999777955395074968691915273666381835937500000000000000000000000000000000000000000000000);
+  ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, 0.4015636367870725840596232119093618401250821463765781307144089819032551434525179709162089487011544152);
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 1.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 0.7796011225311008662356536916883580556792500749037209859530390902424444585607630246126725241921761054);
+  zs<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, 2.199999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, 0.8970741340486472832529094012483877796469756302241005331449133504770916140694317158875490176641388180);
+  zs<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, 2.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, 0.9966287342654774578203091807272871494846015619689842252588224928604557045580020903399140826514419525);
+  zs<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 3.199999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 1.083216216147652072726562700563454011684986526601600660806443834509711499483389930134543612892458143);
+  zs<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 3.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 1.159953178612022143701086341067113318247085320992117266262618001908576504625710753138135645536760705);
+  zs<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 7.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 1.598067606240196984785534680781403865575242180069554020841247076138095065416648450279328891063284787);
+  zs<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 8.399999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 1.635986015616761306128656680352102711658504330413761752847915150776296724715125185878789170353595843);
+  zs<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 8.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 1.672019249364215143714449427934723990551745560176619694762404483433765553308432498126823728454150807);
+  zs<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 9.399999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 1.706351956427362203924265356724807963736463682858697517135613748929048683757986880699421428246987716);
+  zs<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 9.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 1.739142551733351601404562031720166836256093578556407891184787967858395290655747464534386031726054901);
+  zs<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 20.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 2.215253873529547121281024099654049024258898512352506053956048219674735189566735605935868519028886428);
+  zs<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, 20.79999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, 2.232037942848570707824689153745947970289311384094147352193787995777039984911477501437729555943891179);
+  zs<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, 21.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, 2.248461062664032810797682669829614177334474567497410976269795770382256291948680343286055598456930946);
+  zs<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, 21.79999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, 2.264538836003641674575766487227130628592151315874095763183468118573707558576164351416415105283538250);
+  zs<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, 22.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, 2.280285864286149926152034464925849817265625703056626970221292432804223262557041139245862876595960246);
+  zs<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, 45.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, 2.784730975471531592298228296023808374578957621993717936291403085791375505867336041880555203144734624);
+  zs<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, 45.59999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, 2.792846418923343663453351656549736190861671652329623509279809945695836105896108078166742811990549890);
+  zs<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, 46.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, 2.800879481577357402817907432620737944445117856442267934361375865486347844977822691465905776042660153);
+  zs<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, 46.59999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, 2.808831854396542967901795549912651228215931108039763441789870364477609029775521508274395566200250327);
+  zs<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, 47.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, 2.816705176341098453894950633365766251645928038203952811501285665902169257597881259137118085186909385);
+  zs<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, 94.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, 3.343650750934026694453868349588423323594970057683998463032955783031328100668795635364027627344237744);
+  zs<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, 95.19999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, 3.347704927126314354014952127881909800322435946123852141764728005964807369865451182872647651261526300);
+  zs<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, 95.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, 3.351738986777429550093016062864573016038852034507491269297237351947364962103400790753443005963042748);
+  zs<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, 96.19999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, 3.355753131971562146591617562968067128167583310591520027232903513337163599725129242852363808925517286);
+  zs<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, 96.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, 3.359747561740841558826391853676861600267695314122615815793967179881207925371616384184099572300595115);
+  zs<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, 193.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, 3.905067494884853812892253268046191881524005958444131697564696414502793024379297479024372424749155738);
+  zs<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, 194.3999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, 3.907117899842841728838668195110205529083454921828289550856799078486258603076095983089478749398791291);
+  zs<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, 194.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, 3.909163256350964853423766659493861241213806026764267552120249985812650869611378163906691630909022161);
+  zs<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, 195.3999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, 3.911203589561939804120818106435026078510094046010650488053868908640181610985462139185885264355418070);
+  zs<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, 195.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, 3.913238924439855435510247090467540747905833384629853846395096935851013937767959235773727554750691716);
+  zs<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, 392.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, 4.473790759373999449370836932900380698603499930598355812583693103082314531706325269694063530407295371);
+  zs<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, 392.7999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, 4.474831809850706594148527116907834093420614735070734923094248837531977152944616462128228522597237267);
+  zs<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, 393.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, 4.475871580159411118557716684955449097432917202595361508172914971791116938813457453917365177551691682);
+  zs<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, 393.7999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, 4.476910073482067128895548362807270116617425992201334451790294796151311859601136186866422234634474300);
+  zs<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 394.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 4.477947292988721649990662195165267393745885698851422229805500000725367834662498733709056508177586635);
+  zs<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 789.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 5.051256108760896701894497014701900464234767080894666089938550993707446937559086016796794249885331870);
+  zs<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 789.5999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 5.051784868057603576951613257575983601901987808830448747962646970040648657993520282283444052127887316);
+  zs<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 790.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 5.052313301769511279751645919401950992205691275454166720959640667514665636089541176437079485020106302);
+  zs<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 790.5999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 5.052841410301356078567942312344300154667895407100576839086958094315459736887113324816418833061471414);
+  zs<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 791.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 5.053369194057116916125095352093384287199494222654442252497641737159855576046108292479434106853949424);
+  zs<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 1582.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 5.637454835061548840266762838608075961241621341710147974330149448636747596037634477093772466715414237);
+  zs<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 1583.199999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 5.637723113558296965227371679987485292172631743514584329014143690566703873701821724552724491259434917);
+  zs<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 1583.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 5.637991309264171414360659662528863849150184273111159470910102371892495978961903358821307687677635837);
+  zs<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 1584.199999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 5.638259422230692585112176850810679719906543165397130936013277468573934642794738015313302920143170105);
+  zs<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 1584.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 5.638527452509332631758526797455952459448323578747282813479742362912515476029842704193513987433394644);
+  zs<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 3169.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 6.231791473267630119617879242959215790063493036893226016268939602113573649847295482162112707750032205);
+  zs<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 3170.399999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 6.231927385287213295870608336780291881793156334477048126729390997875392137109426481813143445559537548);
+  zs<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 3170.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 6.232063276283731898910298571907046320310117335045161587714712693774590117520030116772150624981197754);
+  zs<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 3171.399999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 6.232199146263736642645449823754129665166787360756180379390602947566154676495717638352300033758537319);
+  zs<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 3171.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 6.232334995233775170638824027293638315162522524016381054824777727129130712726670908695639061242466679);
+  zs<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 6344.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 6.833478246863882246641726870717734354293613258312600642204509694006101911629409462573891987188902394);
+  zs<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 6344.799999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 6.833546994320183648585668463184962739224514055009742694319567301283431438840148992714833003589320204);
+  zs<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 6345.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 6.833615736447355580644330241871199203480309206612453771835338393474744796397760691906867357518286300);
+  zs<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 6345.799999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 6.833684473246229472880513750644790479773339419112019177698673979527062571403548057152859520971070532);
+  zs<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 6346.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 6.833753204717636560302304979968870884092145760178319785601850619423465965447586003582575169154068642);
+  zs<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 12693.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 7.441712782644182656362567954733218054310136462342348107691598780010100425506115311857309428345451583);
+  zs<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 12693.59999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 7.441747507160214264985418199644937473985616288224663570878672057496608603535012780430207292902251849);
+  zs<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 12694.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 7.441782230327669457854270012077867036991216446419568353636383337201042455550854674638301527917381460);
+  zs<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 12694.59999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 7.441816952146653566134582734750438863756337927374408689634478920961001428844890048307273438220285103);
+  zs<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 12695.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 7.441851672617271908624631672809964354572668086864496527202255560220860635169893350319392062176172956);
+  zs<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 25390.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 8.055751887730669404078767770906158058132806188168812278807914210510560983286915475256358360988722249);
+  zs<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 25391.19999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 8.055769405252722224984585767512155671001638813031160420183226603705765994004819084590112882738598672);
+  zs<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 25391.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 8.055786922434032119761416627590837471869427434519755833207927697913643222261584517182449368833198187);
+  zs<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 25392.19999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 8.055804439274612409649066171031328348764224415259811919589560542548689157122598047317682477881428519);
+  zs<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 25392.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 8.055821955774476415104661363464701307020928082642356236080373490396966544402792637267897239283500728);
+  zs<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 50785.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 8.674936078635983017984123951954366186973716699495736629864279614242284857757227515949355498579742855);
+  zs<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 50786.39999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 8.674944906241453706059825549964349902974004039927040359264744515026031399261972506772892769382818801);
+  zs<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 50786.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 8.674953733760944136535950689333928914142360745655931032041490757092023706394578714640748394257288035);
+  zs<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 50787.39999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 8.674962561194455991628227539852952953077017660325256919933499525371091080399080487843972214866128384);
+  zs<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 50787.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 8.674971388541990953502931535257895802702731784533955912147060505216027254503478909260086842672435376);
+  zs<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 101576.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 9.298691796027940703796635264110043143787629375260023629778966472817740701497549236671005785312535137);
+  zs<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 101576.7999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 9.298696240460783074349599408079465706595862952879886273836096426172349132276424038993850275528909958);
+  zs<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 101577.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 9.298700684871954559132336105768526810554925567844384854912235341295989207897852971537611849804454104);
+  zs<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 101577.7999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 9.298705129261455370304348674457005008539407510001142864340543902043967324875967473097043636378431136);
+  zs<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 101578.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 9.298709573629285720022020159137488905547397121761906103664298171650800509043504137427221381746219971);
+  zs<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 203157.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 9.926524439637924502814640096432844232405010548632138451412344878257773957471037720806722776924379539);
+  zs<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 203157.5999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 9.926526675539305999408212665862555525393765588240345090590079743764108100617622492751979808963302929);
+  zs<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 203158.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 9.926528911435230720557328431324006644047736665798752128461117587165401958858923779103702189649205849);
+  zs<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 203158.5999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 9.926531147325698692990351270769682423599587366983008197322280565618502972980495987784743296088232692);
+  zs<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 203159.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 9.926533383210709943435448417027560593313394713874207050608325275972416603539435687443617960861779968);
+  zs<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 406318.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 10.55800844020678300858930169345380918056498196515847559789815847210932705985905912177836375627483410);
+  zs<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 406319.1999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 10.55800956429896255310197650482898317196991260081559124902272662470413320348092630336068243562420612);
+  zs<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 406319.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 10.55801068838976919073174818917086439876248092007955187694896892558084843931726958729264479171526918);
+  zs<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 406320.1999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 10.55801181247920292484283725870748463023358051483533901203380901404123382789184489956279108152225757);
+  zs<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 406320.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 10.55801293656726375879945184504060224737500313478807503007007909767698116683614226527139047633989602);
+  zs<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 812641.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 11.19277715105303335957380751089185510982783382888615163475399731608447432939046539739780186010205819);
+  zs<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 812642.3999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 11.19277771586759068427927907791232978730718798905802091714667366555094578546313245757715733663116681);
+  zs<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 812642.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 11.19277828068180282941234300813602678219028255437023366225732009891673392268727353365317316060216307);
+  zs<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 812643.3999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 11.19277884549566979539611569279587635086022997209586259427933274111486838234969448101548392041897529);
+  zs<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 812643.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 11.19277941030919158265371274430325256214137887195738215091099754333691681726015244339566835725917388);
+  zs<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 1625288.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 11.83051367496350653298055098412234220179378826002120373759410524883137483448021534372309124250280047);
+  zs<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 1625288.799999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 11.83051395862415209457082318977971516657969184941726425523617075901029866766828046681793457310563883);
+  zs<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 1625289.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 11.83051424228471092157568395260197960555928287686416745291625975894259102434581858031780382895984480);
+  zs<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 1625289.799999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 11.83051452594518301404831336917713066668156156528094910312372347647232811359765848597839160347350790);
+  zs<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 1625290.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 11.83051480960556837204189148713503938528677530351797077101569714537002853052165595070586086051268476);
+  zs<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 3250581.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 12.47094296296818886963926120402441135953658337315101944303084986533714570937576415675358344893956724);
+  zs<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 3250581.599999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 12.47094310536827791354684005276581162972597260940308218544073416384666193653508004167640448380153389);
+  zs<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 3250582.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 12.47094324776834517437426924689730750513918775389042001111365883776867938003401942562632403665303867);
+  zs<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 3250582.599999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 12.47094339016839065212822905567651460418204106065566910956134121802725695306834966790193342511971825);
+  zs<RealType>[100] = BOOST_MATH_TEST_VALUE(RealType, 3250583.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[100] = BOOST_MATH_TEST_VALUE(RealType, 12.47094353256841434681539974528531469757660901993281429423438578866652694560046559516127568892277702);
+  zs<RealType>[101] = BOOST_MATH_TEST_VALUE(RealType, 6501166.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[101] = BOOST_MATH_TEST_VALUE(RealType, 13.11382518009820116753812472043031659983277915902361747977758246698818963218870351102587174635468138);
+  zs<RealType>[102] = BOOST_MATH_TEST_VALUE(RealType, 6501167.199999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[102] = BOOST_MATH_TEST_VALUE(RealType, 13.11382525155825542039438232302300244148043560690215658478061719482590950005701713995387903749679862);
+  zs<RealType>[103] = BOOST_MATH_TEST_VALUE(RealType, 6501167.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[103] = BOOST_MATH_TEST_VALUE(RealType, 13.11382532301830420490055394669714665225378812412907655382308789130810346826183238238494205026247934);
+  zs<RealType>[104] = BOOST_MATH_TEST_VALUE(RealType, 6501168.199999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[104] = BOOST_MATH_TEST_VALUE(RealType, 13.11382539447834752105747833428094533284492363009218919720913636223924531666313533113069940376003390);
+  zs<RealType>[105] = BOOST_MATH_TEST_VALUE(RealType, 6501168.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[105] = BOOST_MATH_TEST_VALUE(RealType, 13.11382546593838536886599422840946554656689837543146085874754543863703505630372640720269904462657597);
+  zs<RealType>[106] = BOOST_MATH_TEST_VALUE(RealType, 13002337.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[106] = BOOST_MATH_TEST_VALUE(RealType, 13.75895020161120780671931348674820949097896740529525960699598966308825998645623474235280989608207426);
+  zs<RealType>[107] = BOOST_MATH_TEST_VALUE(RealType, 13002338.39999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[107] = BOOST_MATH_TEST_VALUE(RealType, 13.75895023746031789528316024226987524061812679192459530422102497447151229457148397431817422821296573);
+  zs<RealType>[108] = BOOST_MATH_TEST_VALUE(RealType, 13002338.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[108] = BOOST_MATH_TEST_VALUE(RealType, 13.75895027330942661161180008030275959022186764318551714315248259172940117391346074981407903526666876);
+  zs<RealType>[109] = BOOST_MATH_TEST_VALUE(RealType, 13002339.39999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[109] = BOOST_MATH_TEST_VALUE(RealType, 13.75895030915853395570533826541548036105186387000942779022045956615233350302797407587096919814230872);
+  zs<RealType>[110] = BOOST_MATH_TEST_VALUE(RealType, 13002339.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[110] = BOOST_MATH_TEST_VALUE(RealType, 13.75895034500763992756388006216453398588380356491793568993934227427809822610433476168943506890083264);
+  zs<RealType>[111] = BOOST_MATH_TEST_VALUE(RealType, 26004680.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[111] = BOOST_MATH_TEST_VALUE(RealType, 14.40613306792050284417781173963237397180782490395810703112834440216893801894568593170935318229410890);
+  zs<RealType>[112] = BOOST_MATH_TEST_VALUE(RealType, 26004680.79999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[112] = BOOST_MATH_TEST_VALUE(RealType, 14.40613308589978129513196522846261186416164678471600282263899627087138088581441641199768735966026721);
+  zs<RealType>[113] = BOOST_MATH_TEST_VALUE(RealType, 26004681.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[113] = BOOST_MATH_TEST_VALUE(RealType, 14.40613310387905940184947896220802688669394773806882218972392634458869861468933663343960564575146049);
+  zs<RealType>[114] = BOOST_MATH_TEST_VALUE(RealType, 26004681.79999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[114] = BOOST_MATH_TEST_VALUE(RealType, 14.40613312185833716433036614707023490965167453502978925783310059180078511451175950772072935073580417);
+  zs<RealType>[115] = BOOST_MATH_TEST_VALUE(RealType, 26004682.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[115] = BOOST_MATH_TEST_VALUE(RealType, 14.40613313983761458257463998925009132119130606601627537868443064669880766892972378195587657468067971);
+  zs<RealType>[116] = BOOST_MATH_TEST_VALUE(RealType, 52009365.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[116] = BOOST_MATH_TEST_VALUE(RealType, 15.05521023228726997012482201156518637282193264830919527945406914876568997920242700346221079695380120);
+  zs<RealType>[117] = BOOST_MATH_TEST_VALUE(RealType, 52009365.59999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[117] = BOOST_MATH_TEST_VALUE(RealType, 15.05521024130213601448008511719004686304317399587148372739532783438679535880037848363163034299000680);
+  zs<RealType>[118] = BOOST_MATH_TEST_VALUE(RealType, 52009366.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[118] = BOOST_MATH_TEST_VALUE(RealType, 15.05521025031700197250576749203130491372164140425152090159289103953022449076855552216703380049236381);
+  zs<RealType>[119] = BOOST_MATH_TEST_VALUE(RealType, 52009366.59999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[119] = BOOST_MATH_TEST_VALUE(RealType, 15.05521025933186784420187079237695573264884951878394949291027777307830551044730470942903907859985247);
+  zs<RealType>[120] = BOOST_MATH_TEST_VALUE(RealType, 52009367.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[120] = BOOST_MATH_TEST_VALUE(RealType, 15.05521026834673362956839667451494683193779819588967935304969871800597790007309597120010839282494067);
+  zs<RealType>[121] = BOOST_MATH_TEST_VALUE(RealType, 104018734.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[121] = BOOST_MATH_TEST_VALUE(RealType, 15.70603645611954384988565703849374122026373428508755081783343271665282590664826044624943527766443724);
+  zs<RealType>[122] = BOOST_MATH_TEST_VALUE(RealType, 104018735.1999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[122] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646063864032656975241668975461127107196165116494804371210729046808944447344810561150619338235);
+  zs<RealType>[123] = BOOST_MATH_TEST_VALUE(RealType, 104018735.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[123] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646515773678160916860265187423935628996612114399500020977395299556819648453302891654761783891);
+  zs<RealType>[124] = BOOST_MATH_TEST_VALUE(RealType, 104018736.1999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[124] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646967683321500390580404963095388245044851589624040628425347772179453119739096056755672581358);
+  zs<RealType>[125] = BOOST_MATH_TEST_VALUE(RealType, 104018736.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[125] = BOOST_MATH_TEST_VALUE(RealType, 15.70603647419592962675396422855255261373445463144900248624737121930916887983366690742461452872492017);
+  zs<RealType>[126] = BOOST_MATH_TEST_VALUE(RealType, 208037473.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[126] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223073077299062251727505489121683259009838940921798588655999804611259258002812224135777088225);
+  zs<RealType>[127] = BOOST_MATH_TEST_VALUE(RealType, 208037474.3999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[127] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223299572857263748180340545017346327532474491820120184954137107185953921166019993001720173076);
+  zs<RealType>[128] = BOOST_MATH_TEST_VALUE(RealType, 208037474.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[128] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223526068414922688843525885798316030222323873469187325647317943052465221773791004107044449214);
+  zs<RealType>[129] = BOOST_MATH_TEST_VALUE(RealType, 208037475.3999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[129] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223752563972039073719664683805774368875669934675288398977599557153297961083834670781371769393);
+  zs<RealType>[130] = BOOST_MATH_TEST_VALUE(RealType, 208037475.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[130] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223979059528612902811360111362158185991940560941697071272367978154194499902342370856607708754);
+  zs<RealType>[131] = BOOST_MATH_TEST_VALUE(RealType, 416074952.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[131] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162682130034575873110256608416240774650633244657569787078893008324146198524461655542099298038);
+  zs<RealType>[132] = BOOST_MATH_TEST_VALUE(RealType, 416074952.7999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[132] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162795629150708082853641104106051019632512982699681254455598867301594442867945136512864263362);
+  zs<RealType>[133] = BOOST_MATH_TEST_VALUE(RealType, 416074953.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[133] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162909128266704320348800926473937585791237790855606445141461836852095077452961626092636714582);
+  zs<RealType>[134] = BOOST_MATH_TEST_VALUE(RealType, 416074953.7999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[134] = BOOST_MATH_TEST_VALUE(RealType, 17.01243163022627382564585596062316405185836375654028401358545369509940490853717120734831332950839378);
+  zs<RealType>[135] = BOOST_MATH_TEST_VALUE(RealType, 416074954.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[135] = BOOST_MATH_TEST_VALUE(RealType, 17.01243163136126498288878595751514783906405969399381198927824453551799680870112429531524827406849599);
+  zs<RealType>[136] = BOOST_MATH_TEST_VALUE(RealType, 832149909.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[136] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049214031531812887566464334167360339296689778348663603985291368769599603595003791335301847127);
+  zs<RealType>[137] = BOOST_MATH_TEST_VALUE(RealType, 832149909.5999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[137] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049270898194728430180770507660352501688482825963526508387721596470881802640086432444438183220);
+  zs<RealType>[138] = BOOST_MATH_TEST_VALUE(RealType, 832149910.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[138] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049327764857609902322798165858268194375878492382051153135096018706001421025620618302837247343);
+  zs<RealType>[139] = BOOST_MATH_TEST_VALUE(RealType, 832149910.5999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[139] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049384631520457303992588186753608991034689224716778630078855718157314806355505907287211879952);
+  zs<RealType>[140] = BOOST_MATH_TEST_VALUE(RealType, 832149911.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[140] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049441498183270635190181448338802862077472029294388350982070482138347224074032285443619695132);
+  zs<RealType>[141] = BOOST_MATH_TEST_VALUE(RealType, 1664299822.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[141] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493355098619384682217293063408860906200997313752841900524481309067580120995737616551816092439);
+  zs<RealType>[142] = BOOST_MATH_TEST_VALUE(RealType, 1664299823.199999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[142] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493383586636729058593564510700968056859723407482295764411091295912034128445270765389474245827);
+  zs<RealType>[143] = BOOST_MATH_TEST_VALUE(RealType, 1664299823.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[143] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493412074654064899329117538024263559388031556198852503241876369903917896474239140595505063322);
+  zs<RealType>[144] = BOOST_MATH_TEST_VALUE(RealType, 1664299824.199999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[144] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493440562671392204423957266503795757499599462266552348787036107193130165331139452279532396827);
+  zs<RealType>[145] = BOOST_MATH_TEST_VALUE(RealType, 1664299824.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[145] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493469050688710973878088817264608384098178071957390837672366993756271957964256600743216105241);
+  zs<RealType>[146] = BOOST_MATH_TEST_VALUE(RealType, 3328599649.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[146] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003239481891260092191504387611307556374245363459040509191182476364522292852639675828304549626);
+  zs<RealType>[147] = BOOST_MATH_TEST_VALUE(RealType, 3328599650.399999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[147] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003253751491629227276099735868489913807533078209230206170806009818301507483588395812018180071);
+  zs<RealType>[148] = BOOST_MATH_TEST_VALUE(RealType, 3328599650.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[148] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003268021091996224244869947622441697585814089764491702992369913535253679093973930949506347048);
+  zs<RealType>[149] = BOOST_MATH_TEST_VALUE(RealType, 3328599651.399999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[149] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003282290692361083097815664339084466388779045270504033488281798754360146784756669433227860478);
+  zs<RealType>[150] = BOOST_MATH_TEST_VALUE(RealType, 3328599651.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[150] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003296560292723803834937527484339490103369072191109295056853780039115858285449484374166727442);
+  zs<RealType>[151] = BOOST_MATH_TEST_VALUE(RealType, 6657199304.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[151] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875213179003616975291758951989874401990433758371552185122694920942525627888352145273462707829);
+  zs<RealType>[152] = BOOST_MATH_TEST_VALUE(RealType, 6657199304.799999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[152] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875220325804117690436378168767212426802746287406741611709213764258286377104459764498688864645);
+  zs<RealType>[153] = BOOST_MATH_TEST_VALUE(RealType, 6657199305.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[153] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875227472604617870068525483911300930564165365547681598983747537164183343994434536282821758671);
+  zs<RealType>[154] = BOOST_MATH_TEST_VALUE(RealType, 6657199305.799999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[154] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875234619405117514188200977760121223842398566254787219879319150457646967224084449244020129346);
+  zs<RealType>[155] = BOOST_MATH_TEST_VALUE(RealType, 6657199306.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[155] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875241766205616622795404730651654599119614988454540132958996734683240549999645255105620924194);
+  zs<RealType>[156] = BOOST_MATH_TEST_VALUE(RealType, 13314398613.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[156] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100521655914391255442878301089651369196196103134174539854119020213383927831733183603430177342);
+  zs<RealType>[157] = BOOST_MATH_TEST_VALUE(RealType, 13314398613.59999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[157] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100525234952404035395706360529741527156245298468796715007831095483401537550300887615324478886);
+  zs<RealType>[158] = BOOST_MATH_TEST_VALUE(RealType, 13314398614.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[158] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100528813990416681239948722494340433727853716710673987742922492342629617928698493424484032660);
+  zs<RealType>[159] = BOOST_MATH_TEST_VALUE(RealType, 13314398614.59999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[159] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100532393028429192975605397043801464163741054316603439612006945607064743419379856370010506017);
+  zs<RealType>[160] = BOOST_MATH_TEST_VALUE(RealType, 13314398615.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[160] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100535972066441570602676394238477992584177232532005791683216204582260476049842371709123221255);
+  zs<RealType>[161] = BOOST_MATH_TEST_VALUE(RealType, 26628797230.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[161] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285249100030290397518601237584604981130278135272151318314970663709603528431386852754379112730);
+  zs<RealType>[162] = BOOST_MATH_TEST_VALUE(RealType, 26628797231.19999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[162] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285250892202655550269280724503656839238502424605070290458403293889858635506895301235328962628);
+  zs<RealType>[163] = BOOST_MATH_TEST_VALUE(RealType, 26628797231.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[163] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285252684375020669438704809175058008607738171622380516384350651954854873527952764745960194675);
+  zs<RealType>[164] = BOOST_MATH_TEST_VALUE(RealType, 26628797232.19999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[164] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285254476547385755026873492858475358446577888309438244123935827841754860782205245677270931493);
+  zs<RealType>[165] = BOOST_MATH_TEST_VALUE(RealType, 26628797232.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[165] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285256268719750807033786776813575757892712773332275219858225617530315647886304839621190128467);
+  zs<RealType>[166] = BOOST_MATH_TEST_VALUE(RealType, 53257594465.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[166] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581338519341205251851678920458391270655214844894715960888032707282421057623183584027330480633);
+  zs<RealType>[167] = BOOST_MATH_TEST_VALUE(RealType, 53257594466.39999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[167] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581339416678276021956345172476031736610096020431411495093672867810851785199503170153825356689);
+  zs<RealType>[168] = BOOST_MATH_TEST_VALUE(RealType, 53257594466.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[168] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581340314015346783652970955706237153204994825959199820337645288096708677451415833137778699486);
+  zs<RealType>[169] = BOOST_MATH_TEST_VALUE(RealType, 53257594467.39999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[169] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581341211352417536941556270306715209214940104899493615505349319261368609864010882236880736924);
+  zs<RealType>[170] = BOOST_MATH_TEST_VALUE(RealType, 53257594467.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[170] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581342108689488281822101116435173593410522139124663366619300728455522058827136186640157150006);
+  zs<RealType>[171] = BOOST_MATH_TEST_VALUE(RealType, 106515188936.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[171] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626920637793567947968920002916518604504482941952960611736969307899126632949710731838314939535);
+  zs<RealType>[172] = BOOST_MATH_TEST_VALUE(RealType, 106515188936.7999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[172] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921087052760828375602269251105477904207815836374209426134525952488796027799984818720270105);
+  zs<RealType>[173] = BOOST_MATH_TEST_VALUE(RealType, 106515188937.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[173] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921536311953706677275954356032288516798309826935596847224545105365234647336923162745148650);
+  zs<RealType>[174] = BOOST_MATH_TEST_VALUE(RealType, 106515188937.7999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[174] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921985571146582873941058251041835477955178166028729368533877454281235062918122417686844554);
+  zs<RealType>[175] = BOOST_MATH_TEST_VALUE(RealType, 106515188938.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[175] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626922434830339456965597580955876917923101340004236523230885349136854795158825395309771408668);
+  zs<RealType>[176] = BOOST_MATH_TEST_VALUE(RealType, 213030377877.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[176] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498044370189057193061229322652798069141485425830911821689634860387911575520267236257752886);
+  zs<RealType>[177] = BOOST_MATH_TEST_VALUE(RealType, 213030377877.5999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[177] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498269279111869452328160161214112251666554529993600600683165630516488115832469896181046045);
+  zs<RealType>[178] = BOOST_MATH_TEST_VALUE(RealType, 213030377878.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[178] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498494188034681184635345858036581911693953330207290531058251991996389235617064799550256701);
+  zs<RealType>[179] = BOOST_MATH_TEST_VALUE(RealType, 213030377878.5999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[179] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498719096957492389982786415591514868991446226878757600605585200116652511909077437303220322);
+  zs<RealType>[180] = BOOST_MATH_TEST_VALUE(RealType, 213030377879.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[180] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498944005880303068370481836350218943309407900398512057690019248825245765368449728229683978);
+  zs<RealType>[181] = BOOST_MATH_TEST_VALUE(RealType, 426060755758.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[181] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786617198666287725520753845230512592375445890316693635014712570198963226722376898746719788);
+  zs<RealType>[182] = BOOST_MATH_TEST_VALUE(RealType, 426060755759.1999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[182] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786729785413748555882136649105347335405111452573107829620408251494572350634646372518383704);
+  zs<RealType>[183] = BOOST_MATH_TEST_VALUE(RealType, 426060755759.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[183] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786842372161209254336341886225886040142987940947830085760720112665756558438930745003988259);
+  zs<RealType>[184] = BOOST_MATH_TEST_VALUE(RealType, 426060755760.1999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[184] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786954958908669820883369556901450401232685427846511608592597720877347644103130699500020980);
+  zs<RealType>[185] = BOOST_MATH_TEST_VALUE(RealType, 426060755760.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[185] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645787067545656130255523219661441362113316725652002816962722163580709685521423287347532232663);
+  zs<RealType>[186] = BOOST_MATH_TEST_VALUE(RealType, 852121511521.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[186] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222268328128985001144764937331876138884560895942339750264590092000743925470556345687342935);
+  zs<RealType>[187] = BOOST_MATH_TEST_VALUE(RealType, 852121511522.3999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[187] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222324684237927811409049669410007439237129556446372910358198486719174460302964062617263997);
+  zs<RealType>[188] = BOOST_MATH_TEST_VALUE(RealType, 852121511522.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[188] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222381040346870588656954830537234790758650044870333521914480895767426200215549894604462944);
+  zs<RealType>[189] = BOOST_MATH_TEST_VALUE(RealType, 852121511523.3999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[189] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222437396455813332888480420752271669125958665876145325130479060260809395708493929658437074);
+  zs<RealType>[190] = BOOST_MATH_TEST_VALUE(RealType, 852121511523.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[190] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222493752564756044103626440093831550015823616066865071071416085939189362440560522437633662);
+  zs<RealType>[191] = BOOST_MATH_TEST_VALUE(RealType, 1704243023048.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[191] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307934242599198887438952878908310927656184464570761925753018240286868931047379101991192915);
+  zs<RealType>[192] = BOOST_MATH_TEST_VALUE(RealType, 1704243023048.799987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[192] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307962450443999814141844483539218897580562586948087460916859526796854661158129821949554554);
+  zs<RealType>[193] = BOOST_MATH_TEST_VALUE(RealType, 1704243023049.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[193] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307990658288800732581258578292473970863909517564631259029126397702972526621236324413898654);
+  zs<RealType>[194] = BOOST_MATH_TEST_VALUE(RealType, 1704243023049.799987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[194] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360308018866133601642757195163172921046426642186059476077116782502974396487792107071563852968);
+  zs<RealType>[195] = BOOST_MATH_TEST_VALUE(RealType, 1704243023050.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[195] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360308047073978402544669654238185405023189173260158888945690205253434326923773189194023738864);
+  zs<RealType>[196] = BOOST_MATH_TEST_VALUE(RealType, 3408486046101.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[196] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111548947260493867878972043152010342814420318471604738869697286844100478961752318507519036);
+  zs<RealType>[197] = BOOST_MATH_TEST_VALUE(RealType, 3408486046101.599975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[197] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111563065346677642310736687968026218525976239525273457263820521539063299775063487387395491);
+  zs<RealType>[198] = BOOST_MATH_TEST_VALUE(RealType, 3408486046102.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[198] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111577183432861414674405116970646776101208949311878694889082271860331380169436692589290008);
+  zs<RealType>[199] = BOOST_MATH_TEST_VALUE(RealType, 3408486046102.599975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[199] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111591301519045184969977330160478305423319389187668123911964696321646253276250725578473047);
+  zs<RealType>[200] = BOOST_MATH_TEST_VALUE(RealType, 3408486046103.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[200] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111605419605228953197453327538127096375508233833690347792194785120108760652931053928666785);
+  zs<RealType>[201] = BOOST_MATH_TEST_VALUE(RealType, 6816972092206.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[201] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336777149103602875189240858590017172273907420428241974657782598001971183829692697893931030);
+  zs<RealType>[202] = BOOST_MATH_TEST_VALUE(RealType, 6816972092207.199951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[202] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336784214888845714766036358708919247411311945160997461946071687776487761293647943181961882);
+  zs<RealType>[203] = BOOST_MATH_TEST_VALUE(RealType, 6816972092207.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[203] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336791280674088553825278629338313564287800253072882363885000489322789589683564459399860775);
+  zs<RealType>[204] = BOOST_MATH_TEST_VALUE(RealType, 6816972092208.199951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[204] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336798346459331392366967670478275989571118963232699709422043712865525671390927105068828991);
+  zs<RealType>[205] = BOOST_MATH_TEST_VALUE(RealType, 6816972092208.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[205] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336805412244574230391103482128882389929014678023920695547828528484685657699485259769208741);
+  zs<RealType>[206] = BOOST_MATH_TEST_VALUE(RealType, 13633944184417.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[206] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479482406519801256975073261795345435020419867463744516732345674294492529228061805959732327);
+  zs<RealType>[207] = BOOST_MATH_TEST_VALUE(RealType, 13633944184418.39990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[207] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479485942625415366326146401152634296784764225669862897123975110273521017330868675363150448);
+  zs<RealType>[208] = BOOST_MATH_TEST_VALUE(RealType, 13633944184418.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[208] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479489478731029475547705331300159611152098923590641458690234001429707091782045185453438171);
+  zs<RealType>[209] = BOOST_MATH_TEST_VALUE(RealType, 13633944184419.39990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[209] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479493014836643584639750052237930871016343368359473040533580595453533790563068986805724019);
+  zs<RealType>[210] = BOOST_MATH_TEST_VALUE(RealType, 13633944184419.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[210] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479496550942257693602280563965957569271416966065840246264353271487273203593602827136860754);
+  zs<RealType>[211] = BOOST_MATH_TEST_VALUE(RealType, 27267888368840.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[211] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658132365321120256576467284757880630504909781214698429280000692432972722344046738139460516);
+  zs<RealType>[212] = BOOST_MATH_TEST_VALUE(RealType, 27267888368840.79980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[212] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658134134906748186542924183870772699960645627424489223278978300139646551878816289033156892);
+  zs<RealType>[213] = BOOST_MATH_TEST_VALUE(RealType, 27267888368841.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[213] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658135904492376116476972541669907157102168356799570843777496579434166012376207829201011287);
+  zs<RealType>[214] = BOOST_MATH_TEST_VALUE(RealType, 27267888368841.79980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[214] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658137674078004046378612358155285189678948212439453829367032310042341489097274555293104964);
+  zs<RealType>[215] = BOOST_MATH_TEST_VALUE(RealType, 27267888368842.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[215] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658139443663631976247843633326907985440455437378340280356184152787821056110486626668344188);
+  zs<RealType>[216] = BOOST_MATH_TEST_VALUE(RealType, 54535776737685.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[216] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768658520727223095526336163825405277084208702812195528505679434221769385747727596125338626);
+  zs<RealType>[217] = BOOST_MATH_TEST_VALUE(RealType, 54535776737685.59960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[217] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768659406252057469058839388454672293394318546730557386127002114050381424035876354103192624);
+  zs<RealType>[218] = BOOST_MATH_TEST_VALUE(RealType, 54535776737686.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[218] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768660291776891842583233326734639195028174391562886488418853280961627679416432912568037643);
+  zs<RealType>[219] = BOOST_MATH_TEST_VALUE(RealType, 54535776737686.59960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[219] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768661177301726216099517978665306130590007248679624798101760603565428399982488746458503134);
+  zs<RealType>[220] = BOOST_MATH_TEST_VALUE(RealType, 54535776737687.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[220] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768662062826560589607693344246673248684048129447128687164847423418296378412381527867603611);
+  zs<RealType>[221] = BOOST_MATH_TEST_VALUE(RealType, 109071553475374.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[221] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666117150245004622760057983418314410522200232704276775862146736266761022246497551058785007);
+  zs<RealType>[222] = BOOST_MATH_TEST_VALUE(RealType, 109071553475375.1992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[222] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666117593357355743548739761689791124679984859813361369105181180764744313352061153147051630);
+  zs<RealType>[223] = BOOST_MATH_TEST_VALUE(RealType, 109071553475375.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[223] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118036469706864335392511390934879372874136387705864492100434790697368864211343956938842);
+  zs<RealType>[224] = BOOST_MATH_TEST_VALUE(RealType, 109071553475376.1992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[224] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118479582057985120016232521745693192563248069260165217440327859683071396461341530343065);
+  zs<RealType>[225] = BOOST_MATH_TEST_VALUE(RealType, 109071553475376.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[225] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118922694409105902610925082223584730747380499718597765232850574002390696473010380772407);
+  zs<RealType>[226] = BOOST_MATH_TEST_VALUE(RealType, 218143106950753.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[226] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774188445791042660254784305836995418567274505820949514291909017768623167600827442630858);
+  zs<RealType>[227] = BOOST_MATH_TEST_VALUE(RealType, 218143106950754.3984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[227] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774410169407734916144601996690190995667210727468326746331358762853812415838063247614151);
+  zs<RealType>[228] = BOOST_MATH_TEST_VALUE(RealType, 218143106950754.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[228] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774631893024427171526754670674911118564686113352807043233143508066106374847716587931185);
+  zs<RealType>[229] = BOOST_MATH_TEST_VALUE(RealType, 218143106950755.3984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[229] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774853616641119426401242327791158113151699337805013921071479703774514043229472570138003);
+  zs<RealType>[230] = BOOST_MATH_TEST_VALUE(RealType, 218143106950755.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[230] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118775075340257811680768064968038934305320249075139583789870247295334960013555124352240919);
+  zs<RealType>[231] = BOOST_MATH_TEST_VALUE(RealType, 436286213901512.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[231] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507210180178060183512748657385641403633979025174401415202721913219462712200443246592017);
+  zs<RealType>[232] = BOOST_MATH_TEST_VALUE(RealType, 436286213901512.7968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[232] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507321122179075661323950744341840810124864190846957886463039301370908060223378776053761);
+  zs<RealType>[233] = BOOST_MATH_TEST_VALUE(RealType, 436286213901513.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[233] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507432064180091139008139023924952729670215908087118481612362461688278748768609693129214);
+  zs<RealType>[234] = BOOST_MATH_TEST_VALUE(RealType, 436286213901513.7968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[234] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507543006181106616565313496134977453237197516164536262012622641950793744512740976903471);
+  zs<RealType>[235] = BOOST_MATH_TEST_VALUE(RealType, 436286213901514.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[235] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507653948182122093995474160971915271792972354347864284901025700020408100899889264653839);
+  zs<RealType>[236] = BOOST_MATH_TEST_VALUE(RealType, 872572427803029.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[236] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926454870573870105381204121080031682700579571979417608023815834802026646642551756529303);
+  zs<RealType>[237] = BOOST_MATH_TEST_VALUE(RealType, 872572427803029.5937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[237] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926510380014769927740975753101903356685400661074674057071774744000291503524870439239858);
+  zs<RealType>[238] = BOOST_MATH_TEST_VALUE(RealType, 872572427803030.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[238] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926565889455669750068970579501127050404305753044873046035266500692837850798788777465676);
+  zs<RealType>[239] = BOOST_MATH_TEST_VALUE(RealType, 872572427803030.5937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[239] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926621398896569572365188600277702800255782702903047591596266870263378125202082655252570);
+  zs<RealType>[240] = BOOST_MATH_TEST_VALUE(RealType, 872572427803031.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[240] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926676908337469394629629815431630642638319365662168161753441065238424482444892944732090);
+  zs<RealType>[241] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606062.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[241] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368555045568380920065773046212688909377117164466588005747217968807471779219205518025563);
+  zs<RealType>[242] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606063.187500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[242] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368582818730773733152774326033355552322481669720170248660524963440150598888428761058290);
+  zs<RealType>[243] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606063.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[243] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368610591893166546231825808704138452046802967409474774871621840817874673003149159950917);
+  zs<RealType>[244] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606064.187500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[244] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368638365055559359302927494225037613103195710423753246607554009944184530654853462065205);
+  zs<RealType>[245] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606064.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[245] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368666138217952172366079382596053040044774551652253413904860066772832705321064573507936);
+  zs<RealType>[246] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212129.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[246] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725912255296233554695621993095527834620867411002883617418802445848848920754168937963900);
+  zs<RealType>[247] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212130.375000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[247] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725926150732198502036790376252498771483422694718006966861906633408209207371317438042436);
+  zs<RealType>[248] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212130.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[248] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725940046168163449375969968196897954449339669242357827673003495386979661882340839494652);
+  zs<RealType>[249] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212131.375000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[249] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725953941604128396713160768928725384088153564235657069057463593847925585888659769685682);
+  zs<RealType>[250] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212131.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[250] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725967837040093344048362778447981060969399609357625315535190876608557675610677996463049);
+  zs<RealType>[251] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424264.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[251] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604679088719826542088155377570542413337629407446260913838808164256711555296996403852860);
+  zs<RealType>[252] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424264.750000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[252] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604686040692677719047881106035406644182281598485405113601440205771668223737335876041818);
+  zs<RealType>[253] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424265.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[253] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604692992665528896007109314624214905869648472859408505262279189002691227175712262681487);
+  zs<RealType>[254] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424265.750000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[254] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604699944638380072965840003336967198470969416928902364624408970718516308377862696183264);
+  zs<RealType>[255] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424266.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[255] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604706896611231249924073172173663522057483817054517952187667696583584412183600018203736);
+  zs<RealType>[256] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848533.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[256] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097095124298518143702077667858405885409410230992311053881919684167704487215990113228857);
+  zs<RealType>[257] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848533.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[257] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097098602331016061647350048233624732159922625861798362865689925616857240391773797386011);
+  zs<RealType>[258] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848534.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[258] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097102080363513979592497971278809664223503486445169932919366667254889157695575939580298);
+  zs<RealType>[259] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848534.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[259] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097105558396011897537521436993960681609063435549611864140613496327710388308960838614952);
+  zs<RealType>[260] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848535.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[260] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097109036428509815482420445379077784325513095982310255670016959177612483326392564338403);
+  zs<RealType>[261] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697070.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[261] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954182192055400546316699688336088176596379963232567718408755304304153654131361648983188);
+  zs<RealType>[262] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697071.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[262] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954183932056272117319130023138040040443817185436738411951668715588692235416442685371045);
+  zs<RealType>[263] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697071.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[263] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954185672057143688321529225011483876409341147922608312437009263576524224673465664622416);
+  zs<RealType>[264] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697072.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[264] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954187412058015259323897293956419684494066363206316215367067849034858025290827895879418);
+  zs<RealType>[265] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697072.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[265] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954189152058886830326234229972847464699107343804000916184280580506932042040723667339789);
+  zs<RealType>[266] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394145.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[266] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518695935331739482145723160151536139963974678105921205914075721658873691195091665811270);
+  zs<RealType>[267] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394146.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[267] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518696805806331425691633367772960837479285214203859766210400707178436995199558318407295);
+  zs<RealType>[268] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394146.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[268] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518697676280923369237535787688894919552843836080956969078417834382970920191457114876432);
+  zs<RealType>[269] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394147.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[269] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518698546755515312783430419899338386184789940110157674808234768343577335618132616959765);
+  zs<RealType>[270] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394147.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[270] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518699417230107256329317264404291237375262922664406743686215997702269925047177260404215);
+  zs<RealType>[271] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788295.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[271] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324006370419405415632798743326857723995400791753575138185111578870305633556551072352);
+  zs<RealType>[272] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788296.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[272] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324441836204273681992689740132873188907673425746295594512007334247458414132014763631);
+  zs<RealType>[273] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788296.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[273] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324877301989141948350632733717201783214881466640664746188099504650620747906266396850);
+  zs<RealType>[274] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788297.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[274] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728325312767774010214706627724079843506934459363078248730870402916016710439865808348504);
+  zs<RealType>[275] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788297.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[275] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728325748233558878481060674711220798360083841563700613685981848455744088126373390197417);
+  zs<RealType>[276] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576595.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[276] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284552001564306302504927318242547212268948185919007001226970738285875013148048139909);
+  zs<RealType>[277] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576596.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[277] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284769844633707581493482388002617376992599930776877134475450868721982023076025880187);
+  zs<RealType>[278] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576596.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[278] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284987687703108860481550197556889556172047264008790594215563414633410406449425201228);
+  zs<RealType>[279] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576597.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[279] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076285205530772510139469130746905363749809470683776684452160660198665349883658913823376);
+  zs<RealType>[280] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576597.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[280] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076285423373841911418456224036048039957907050688242495780009454648985107688288289511577);
+  zs<RealType>[281] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153195.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[281] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400134712267319905290193660562118300513507830516933879565438304668183143470276536696);
+  zs<RealType>[282] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153196.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[282] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400243686962505878682539242575730874103256160022984465712010716817361916571773853546);
+  zs<RealType>[283] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153196.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[283] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400352661657691852074762947010360082635121697561514628341391528501142658520743630365);
+  zs<RealType>[284] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153197.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[284] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400461636352877825466864773866005926109377149011203944059666845076630112677861392210);
+  zs<RealType>[285] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153197.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[285] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400570611048063798858844723142668404526295220250731989472007381590773195282652560254);
+  zs<RealType>[286] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306395.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[286] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555320136342385675657230684506000440195815556999407621228993843426869578896616407720);
+  zs<RealType>[287] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306396.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[287] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555374649355515368083078169249852645520316613216452931331516160499635557395351284563);
+  zs<RealType>[288] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306396.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[288] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555429162368645060508895169517366721864271816097307727758099155612982661657855356471);
+  zs<RealType>[289] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306397.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[289] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555483675381774752934681685308542669227715271188344812250649110477219885655515210238);
+  zs<RealType>[290] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306397.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[290] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555538188394904445360437716623380487610681084035936986551015065343719767859121005169);
+  zs<RealType>[291] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612795.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[291] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972598482293827813436342029687218073991385854219392107138609564999755336816382782882);
+  zs<RealType>[292] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612796.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[292] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972625751198813595667063367232609526061670475810039080545891532051379509177129548620);
+  zs<RealType>[293] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612796.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[293] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972653020103799377897777080019019814937016569594146159440469991463659659940941732350);
+  zs<RealType>[294] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612797.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[294] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972680289008785160128483168046448940617428400853168904877026810016036680752500851451);
+  zs<RealType>[295] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612797.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[295] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972707557913770942359181631314896903102910234868562877910240275114213945213826099662);
+  zs<RealType>[296] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225595.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[296] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357397288405889113661262090376242531189140228166174913957175516846453031303867939318);
+  zs<RealType>[297] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225596.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[297] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357410928851167839535330306428730324674240848562357412341096307490721136888569495897);
+  zs<RealType>[298] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225596.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[298] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357424569296446565409396615412474444985847532731674289519382422208292858248536499652);
+  zs<RealType>[299] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225597.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[299] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357438209741725291283461017327474892123960814086338854298164097945903007554014878729);
+  zs<RealType>[300] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225597.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[300] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357451850187004017157523512173731666088581226038564415483571347831884995089329885967);
+  zs<RealType>[301] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451195.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[301] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727783498401939051909927376255844770721021129458386841998457593172268879366938255929);
+  zs<RealType>[302] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451196.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[302] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727790321522786904454299244826066833347409818515980037701571602976213801388272915974);
+  zs<RealType>[303] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451196.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[303] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727797144643634756998670636416712076247668418626969651461616512047870718042117101998);
+  zs<RealType>[304] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451197.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[304] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727803967764482609543041551027780499421796996498319224892410706675338130329932555167);
+  zs<RealType>[305] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451197.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[305] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727810790885330462087411988659272102869795618836992299607772559151572452093096440915);
+  zs<RealType>[306] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902395.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[306] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677831479038829047423830224736434558035742829431520714244678484344822558100019565300);
+  zs<RealType>[307] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902396.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[307] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677834892001619303911408381392078589832744493031890002310138573922908458466967872121);
+  zs<RealType>[308] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902396.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[308] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677838304964409560398986418751480292907711652892277321787302547236270065870054677767);
+  zs<RealType>[309] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902397.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[309] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677841717927199816886564336814639667260644317354730947215019219733421649211897790576);
+  zs<RealType>[310] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902397.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[310] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677845130889990073374142135581556712891542494761299153132137405987788970971812438268);
+  zs<RealType>[311] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804795.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[311] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601512650396438190311342038447614710861375772179966198427428166270594434592188846742);
+  zs<RealType>[312] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804796.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[312] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601514357556751058240524595848620754197445685531919168072376579651061145028382528801);
+  zs<RealType>[313] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804796.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[313] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601516064717063926169707123413145503282985377893953090450589428836799851249587190162);
+  zs<RealType>[314] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804797.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[314] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601517771877376794098889621141188958117994850309268653710559007455198782311971328872);
+  zs<RealType>[315] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804797.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[315] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601519479037689662028072089032751118702474103821066546000777609078929437453810254475);
+  zs<RealType>[316] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609595.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[316] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568641375217383589970289192285524027455320442791145685452599382947676049441268469929);
+  zs<RealType>[317] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609596.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[317] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568642229126383956807166540537938630285140147251930665093550545985675206920712567685);
+  zs<RealType>[318] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609596.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[318] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568643083035384323644043881328226871966400896425186789096638830671067070738275427294);
+  zs<RealType>[319] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609597.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[319] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568643936944384690480921214656388752499102690441367931200542104387248813871592477758);
+  zs<RealType>[320] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609597.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[320] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568644790853385057317798540522424271883245529430927965143938234514196380710928511911);
+  zs<RealType>[321] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219195.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[321] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322372868984974754605356116106151045232696170539516224623515519078402644518190519926);
+  zs<RealType>[322] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219196.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[322] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322373296098832611092973985577032241411056103015380922288812869321261489035558578068);
+  zs<RealType>[323] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219196.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[323] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322373723212690467580591853181653964600305518073422329365062099792146842039711851587);
+  zs<RealType>[324] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219197.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[324] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322374150326548324068209718920016214800444415729953689875272821439439139550720636184);
+  zs<RealType>[325] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219197.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[325] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322374577440406180555827582792118992011472796001288247842454645211304904107994414835);
+  zs<RealType>[326] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438395.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[326] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669327806140448370484701263856771509543516859403088443747042918192039960542776140113);
+  zs<RealType>[327] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438396.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[327] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328019774638303987145009950720434908964235203327796824314750703851313533491796197);
+  zs<RealType>[328] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438396.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[328] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328233408828237489588755577928156076930831411008263669948642260552727690669574065);
+  zs<RealType>[329] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438397.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[329] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328447043018170992032500738394673047416648028169788047545599558661614805384499252);
+  zs<RealType>[330] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438397.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[330] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328660677208104494476245432119985820421685056852313720706629294682011828585641323);
+  zs<RealType>[331] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876795.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[331] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193606989766502723445979048572229231465829706451573324407857444527395822448178986007);
+  zs<RealType>[332] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876796.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[332] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607096621073065351333846093585545869129269708118665210449739974464793810457198837);
+  zs<RealType>[333] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876796.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[333] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607203475643407256688643498213820013963448351011348495071834636284671248086199837);
+  zs<RealType>[334] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876797.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[334] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607310330213749162043440786114053900332242380506462727521879656021426226958496105);
+  zs<RealType>[335] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876797.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[335] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607417184784091067398237957286247528235651796859096373598026176840193967666274999);
+  zs<RealType>[336] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753595.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[336] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941120173207718823699817102786625650029939710664855583164086060137262356501253929);
+  zs<RealType>[337] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753596.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[337] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941173618678344688398957490049536600533594487394087848036718134980749301722731352);
+  zs<RealType>[338] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753596.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[338] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941227064148970553098097848120073848954722626642651975773633390627303626978835838);
+  zs<RealType>[339] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753597.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[339] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941280509619596417797238176998237395293324128442445599007428498582436405251992611);
+  zs<RealType>[340] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753597.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[340] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941333955090222282496378476684027239549398992825366350370700130351606424938744046);
+  zs<RealType>[341] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507195.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[341] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965056513946129162668050892446138815518047627051292293694179480812556619549313064);
+  zs<RealType>[342] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507196.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[342] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965083245509992947480958471611883906387208610588018636449042232643595158517689720);
+  zs<RealType>[343] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507196.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[343] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965109977073856732293866043477021415438855308555056542965567216193304047624510243);
+  zs<RealType>[344] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507197.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[344] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965136708637720517106773608041551342672987720956394620826737050999033807936751171);
+  zs<RealType>[345] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507197.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[345] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965163440201584301919681165305473688089605847796021477615534356598131691567620401);
+  zs<RealType>[346] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014395.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[346] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485628384441561575887407603040339098125590070863967384748247436205190625734118932);
+  zs<RealType>[347] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014396.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[347] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485641754511313063272748535532950445484624262655288217284652009573499125927466059);
+  zs<RealType>[348] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014396.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[348] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485655124581064550658089466199799712956218289431848176597105298416189805067325255);
+  zs<RealType>[349] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014397.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[349] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485668494650816038043430395040886900540372151194146008896781208120907682446939362);
+  zs<RealType>[350] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014397.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[350] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485681864720567525428771322056212008237085847942680460394853644075297572979160046);
+  zs<RealType>[351] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028795.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[351] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126393241245457792327323285439769210757132628000124992150426204283421914567175062);
+  zs<RealType>[352] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028796.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[352] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126399928363674654174459322702292762434851831465004062253014895509105956594317070);
+  zs<RealType>[353] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028796.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[353] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126406615481891516021595359508227640114777678096555406499545632733378131414467863);
+  zs<RealType>[354] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028797.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[354] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126413302600108377868731395857573843796910167894841388830471951540349934300433290);
+  zs<RealType>[355] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028797.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[355] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126419989718325239715867431750331373481249300859924373186247387514132847746950458);
+  zs<RealType>[356] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057595.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[356] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726859251633008985542795093110678176543525265373739682696782954566791223497853278);
+  zs<RealType>[357] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057596.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[357] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726862596204760125343156619941158006313108818081160492017518779133670783309629777);
+  zs<RealType>[358] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057596.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[358] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726865940776511265143518146657454680704151512746306706865464848189500564360309989);
+  zs<RealType>[359] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057597.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[359] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726869285348262404943879673259568199716653349369186125242127832914687715856217447);
+  zs<RealType>[360] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057597.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[360] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726872629920013544744241199747498563350614327949806545149014404489639386204785740);
+  zs<RealType>[361] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115195.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[361] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869898641897124874506124538863135227082696257498669984107495807372390982964298765);
+  zs<RealType>[362] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115196.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[362] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869900314675402022865409817077027470411443725892317844329022583627504362168195643);
+  zs<RealType>[363] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115196.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[363] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869901987453679171224695095262365180124915574419262646462548365901592461409111822);
+  zs<RealType>[364] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115197.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[364] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869903660231956319583980373419148356223111803079505365563012583778554165327574562);
+  zs<RealType>[365] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115197.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[365] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869905333010233467943265651547376998706032411873046976685354666842288358514164676);
+  zs<RealType>[366] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230395.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[366] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135559278566008113536709515501428437696966434378641333376283319594991159197529021);
+  zs<RealType>[367] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230396.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[367] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135560115194668751765523308763717061100258732052320085375724211692206634017417835);
+  zs<RealType>[368] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230396.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[368] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135560951823329389994337102018864925304218198091079593677878710603131163142362874);
+  zs<RealType>[369] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230397.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[369] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135561788451990028223150895266872030308844832494919980201645683875988736222168974);
+  zs<RealType>[370] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230397.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[370] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135562625080650666451964688507738376114138635263841366865923999059003342903518356);
+  zs<RealType>[371] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460795.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[371] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917393998803300413713566990752077661423207867413014717692257524895032484088002638);
+  zs<RealType>[372] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460796.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[372] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917394417234185551157598495411034248495095320790548697334562191650844059041476016);
+  zs<RealType>[373] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460796.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[373] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917394835665070688601630000068205128804849669368418438086966818342794853392747975);
+  zs<RealType>[374] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460797.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[374] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917395254095955826045661504723590302352470913146623955193835326180329431243220210);
+  zs<RealType>[375] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460797.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[375] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917395672526840963489693009377189769137959052125165263899531636372892356694099191);
+  zs<RealType>[376] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921595.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[376] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060297122022964231700635525977853025814596096151371140753421576539605970700861);
+  zs<RealType>[377] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921596.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[377] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060506394202934831808914814125072797602761455168951650504013758145865501313880);
+  zs<RealType>[378] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921596.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[378] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060715666382905431917194101825740114881990816754906595137018341539085351050643);
+  zs<RealType>[379] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921597.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[379] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060924938562876032025473389079854977652284180909237880745343386717050876814609);
+  zs<RealType>[380] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921597.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[380] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066061134210742846632133752675887417385913641547631947413421896953677547435497030);
+  zs<RealType>[381] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843195.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[381] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561317487206707303802427632079894747824628285067346330316982070607470750276538);
+  zs<RealType>[382] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843196.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[382] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561422150925313668179339445554345979082699726978571301972512528171705027852141);
+  zs<RealType>[383] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843196.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[383] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561526814643920032556251258917128490508500217173303906663500224210793499988710);
+  zs<RealType>[384] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843197.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[384] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561631478362526396933163072168242282102029755651544382718152403729363436471691);
+  zs<RealType>[385] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843197.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[385] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561736142081132761310074885307687353863288342413292968464676311732042107085768);
+  zs<RealType>[386] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686395.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[386] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352849612123815153250964411406464644865827787863050268704653756510450468474031);
+  zs<RealType>[387] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686396.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[387] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352901957441589305691661161083072884708823213628905949128284896989478240192251);
+  zs<RealType>[388] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686396.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[388] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352954302759363458132357910731756493593984931372662548695557807862606879386793);
+  zs<RealType>[389] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686397.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[389] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650353006648077137610573054660352515471521312941094320097205602449555540058022069);
+  zs<RealType>[390] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686397.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[390] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650353058993394911763013751409945349818490807242793878624457548782493981448062444);
+  zs<RealType>[391] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372795.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[391] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394011661732720227488151829956542922851698538021522622862634588975916535124465);
+  zs<RealType>[392] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372796.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[392] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394037840949666263721928778536979472743471765062641780884974428552475054902084);
+  zs<RealType>[393] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372796.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[393] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394064020166612299955705727110433050351349588454562078192850302725642051437996);
+  zs<RealType>[394] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372797.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[394] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394090199383558336189482675676903655675332008197283518512140013107034885992383);
+  zs<RealType>[395] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372797.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[395] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394116378600504372423259624236391288715419024290806105568721361308270919825427);
+  zs<RealType>[396] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745595.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[396] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780063098329226609433897361719442410811576805026853884099017649824976199940727);
+  zs<RealType>[397] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745596.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[397] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780076191134345038026463351561571010291457420668319272155773248903735412098606);
+  zs<RealType>[398] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745596.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[398] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780089283939463466619029341401953424656920848830320946683691731827935418315374);
+  zs<RealType>[399] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745597.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[399] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780102376744581895211595331240589653907967089512858908148627964024886502244786);
+  zs<RealType>[400] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745597.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[400] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780115469549700323804161321077479698044596142715933157016436810921898947540595);
+  zs<RealType>[401] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491195.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[401] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472014163526750381732629683760414977652728398062761064036427478928134573151026);
+  zs<RealType>[402] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491196.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[402] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472020711487963758347144588443668839144673170417842073148009181357862290045625);
+  zs<RealType>[403] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491196.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[403] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472027259449177134961659493126486046636359084837495933357183600363141237458038);
+  zs<RealType>[404] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491197.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[404] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472033807410390511576174397808866600127786141321722644722197229302630959626241);
+  zs<RealType>[405] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491197.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[405] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472040355371603888190689302490810499618954339870522207301296561534991000788215);
+  zs<RealType>[406] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982395.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[406] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159106988030207256464803953686021292403364974364396941211684129467560225025844);
+  zs<RealType>[407] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982396.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[407] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159110262771031569979287106207337111164630527719599256075269757642116173324604);
+  zs<RealType>[408] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982396.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[408] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159113537511855883493770258728543740166820971925093788175661756375535881272212);
+  zs<RealType>[409] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982397.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[409] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159116812252680197008253411249641179409936306980880537520142720731872132566761);
+  zs<RealType>[410] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982397.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[410] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159120086993504510522736563770629428893976532886959504115995245775177710906343);
+  zs<RealType>[411] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964795.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[411] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966829050076057809819624810698856060190684715860519885138243117049542515690575);
+  zs<RealType>[412] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964796.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[412] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966830687817369095124791690640312773832665397033630245360990420711923237519040);
+  zs<RealType>[413] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964796.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[413] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966832325558680380429958570581742183631816048451505614209676496718115749779207);
+  zs<RealType>[414] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964797.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[414] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966833963299991665735125450523144289588136670114145991685211886837782686269634);
+  zs<RealType>[415] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964797.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[415] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966835601041302951040292330464519091701627262021551377788507132840586680788883);
+  zs<RealType>[416] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929595.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[416] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082008163468252474529527756164189713179328516307078639643598839828067574841328);
+  zs<RealType>[417] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929596.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[417] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082008982519917191333658353569747274840211384876036940931564577326778739937441);
+  zs<RealType>[418] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929596.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[418] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082009801571581908137788950975298008978578466315835299634785170757312736330548);
+  zs<RealType>[419] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929597.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[419] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082010620623246624941919548380841915594429760626473715753374464347315926011244);
+  zs<RealType>[420] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929597.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[420] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082011439674911341746050145786378994687765267807952189287446302324434670970122);
+  zs<RealType>[421] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859195.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[421] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744109529240544406880337828236840721418957676877238000505091488001795651201);
+  zs<RealType>[422] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859196.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[422] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744519143435523841317719330604019896557212385538515430219236320724445839119);
+  zs<RealType>[423] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859196.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[423] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744928757630503275755100832969491810004678229237746659550758636675578428967);
+  zs<RealType>[424] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859197.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[424] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005745338371825482710192482335333256461761355207974931688513892197266161560978);
+  zs<RealType>[425] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859197.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[425] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005745747986020462144629863837695313851827243321750070517122870763907163375388);
+  zs<RealType>[426] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718395.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[426] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574964727179808543930859767697217112818536350797368921774672172293682473225055);
+  zs<RealType>[427] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718396.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[427] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574964932030053738025902058853016475070045198068571647010983824313512015423280);
+  zs<RealType>[428] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718396.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[428] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965136880298932120944350008815410413130287269798806862098501994253827046627);
+  zs<RealType>[429] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718397.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[429] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965341730544126215986641164613918847791618401050401328017984950518641062487);
+  zs<RealType>[430] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718397.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[430] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965546580789320311028932320412000374029191462326430408744052796917190438247);
+  zs<RealType>[431] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436795.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[431] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531277886245290205731446363101869106286487064764410271386990754234755642855);
+  zs<RealType>[432] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436796.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[432] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531380332442757645839844021552846525681769285188952591218983091633569244771);
+  zs<RealType>[433] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436796.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[433] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531482778640225085948241680003717195267123172907693535943393631252233528007);
+  zs<RealType>[434] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436797.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[434] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531585224837692526056639338454481115042548727920633105560444873053490520850);
+  zs<RealType>[435] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436797.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[435] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531687671035159966165036996905138285008045950227771300070359317000082251587);
+  zs<RealType>[436] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873595.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[436] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554057973484251633179872231742522867479304887734423959008177810507929372980502);
+  zs<RealType>[437] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873596.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[437] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058024717646818581642633527555088229229848978856650264562082058837873668151);
+  zs<RealType>[438] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873596.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[438] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058075951042003983413035312587282286158171800872330936800027595921615283052);
+  zs<RealType>[439] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873597.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[439] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058127184437189385183437097619449650089856200471001024891674937552098289649);
+  zs<RealType>[440] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873597.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[440] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058178417832374786953838882651590321024902177652660528837051902100823152388);
+  zs<RealType>[441] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747195.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[441] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363299726206609746705489474024632685397908027036826962303868666955918111538);
+  zs<RealType>[442] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747196.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[442] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363325347935999834589083288276642972035197649807101708168936227006895175343);
+  zs<RealType>[443] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747196.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[443] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363350969665389922472677102528646584069120432472031910137509227273894302196);
+  zs<RealType>[444] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747197.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[444] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363376591394780010356270916780643521499676375031617568209591145770868885078);
+  zs<RealType>[445] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747197.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[445] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363402213124170098239864731032633784326865477485858682385185460511772316968);
+  zs<RealType>[446] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494395.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[446] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174934638672334406646723725983740951105026349221807009071850919012663041550);
+  zs<RealType>[447] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494396.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[447] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174947451996655623151231730299282486521387670139214046503255303771865999613);
+  zs<RealType>[448] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494396.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[448] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174960265320976839655739734614822352956044016003363242954851814317386540390);
+  zs<RealType>[449] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494397.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[449] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174973078645298056160247738930360550408995386814254598426640885488605351946);
+};
+// End of lambert_w_mp_high_values.ipp 
diff --git a/src/boost/libs/math/test/lambert_w_low_reference_values.ipp b/src/boost/libs/math/test/lambert_w_low_reference_values.ipp
new file mode 100644
index 00000000..f4466e4c
--- /dev/null
+++ b/src/boost/libs/math/test/lambert_w_low_reference_values.ipp
@@ -0,0 +1,236 @@
+
+// A collection of Lambert W test values computed using 100 decimal digits precision.
+// C++ floating-point type is RealType.
+
+// Written by lambert_w_mp_test_values.cpp Tue Oct 10 14:35:08 2017
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Size of arrays of arguments z and Lambert W
+static const unsigned int noof_tests = 100;
+// Declare arrays of arguments z and Lambert W(z)
+// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure
+// that both built-in and multiprecision types are correctly initialiased with full precision.
+// built-in types like double require a floating-point literal like 3.14,
+// but multiprecision types require a decimal digit string like "3.14".
+
+
+template <typename RealType>
+static RealType zs[100];
+
+template <typename RealType>
+static RealType ws[100];
+
+template <typename RealType>
+void init_zs()
+{
+  zs<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.35);
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.34);
+  zs<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.33);
+  zs<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, -0.32);
+  zs<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, -0.31);
+  zs<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, -0.3);
+  zs<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, -0.29);
+  zs<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, -0.28);
+  zs<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, -0.27);
+  zs<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, -0.26);
+  zs<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, -0.25);
+  zs<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, -0.24);
+  zs<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, -0.23);
+  zs<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, -0.22);
+  zs<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, -0.21);
+  zs<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, -0.2);
+  zs<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, -0.19);
+  zs<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, -0.18);
+  zs<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, -0.17);
+  zs<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, -0.16);
+  zs<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, -0.15);
+  zs<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, -0.14);
+  zs<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, -0.13);
+  zs<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, -0.12);
+  zs<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, -0.11);
+  zs<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, -0.1);
+  zs<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, -0.09);
+  zs<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, -0.08);
+  zs<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, -0.07);
+  zs<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, -0.06);
+  zs<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, -0.05);
+  zs<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, -0.04);
+  zs<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, -0.03);
+  zs<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, -0.02);
+  zs<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, -0.01);
+  zs<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 0);
+  zs<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 0.01);
+  zs<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 0.02);
+  zs<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 0.03);
+  zs<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 0.04);
+  zs<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 0.05);
+  zs<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 0.06);
+  zs<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 0.07);
+  zs<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 0.08);
+  zs<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 0.09);
+  zs<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 0.1);
+  zs<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 0.11);
+  zs<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 0.12);
+  zs<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 0.13);
+  zs<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 0.14);
+  zs<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 0.15);
+  zs<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 0.16);
+  zs<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 0.17);
+  zs<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 0.18);
+  zs<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 0.19);
+  zs<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 0.2);
+  zs<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 0.21);
+  zs<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 0.22);
+  zs<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 0.23);
+  zs<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 0.24);
+  zs<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 0.25);
+  zs<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 0.26);
+  zs<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 0.27);
+  zs<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 0.28);
+  zs<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 0.29);
+  zs<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 0.3);
+  zs<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 0.31);
+  zs<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 0.32);
+  zs<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 0.33);
+  zs<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 0.34);
+  zs<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 0.35);
+  zs<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 0.36);
+  zs<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 0.37);
+  zs<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 0.38);
+  zs<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 0.39);
+  zs<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 0.4);
+  zs<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 0.41);
+  zs<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 0.42);
+  zs<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 0.43);
+  zs<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 0.44);
+  zs<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 0.45);
+  zs<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 0.46);
+  zs<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 0.47);
+  zs<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 0.48);
+  zs<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 0.49);
+  zs<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 0.5);
+  zs<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 0.51);
+  zs<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 0.52);
+  zs<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 0.53);
+  zs<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 0.54);
+  zs<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 0.55);
+  zs<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 0.56);
+  zs<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 0.57);
+  zs<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 0.58);
+  zs<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 0.59);
+  zs<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 0.6);
+  zs<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 0.61);
+  zs<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 0.62);
+  zs<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 0.63);
+  zs<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 0.64);
+};
+
+template <typename RealType>
+void init_ws()
+{
+  ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.7166388164560746087024558456707254694384568520557269136746931098892793788395047380759438025387884858);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.6536945012690894831597997531138338843162464994103594824433758069038214520742337992347211610550053984);
+  ws<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.6032666497551330505290050177510626805198672833479939253720127109209527349195161224268802996274136747);
+  ws<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, -0.5604894830784555743634840504116545657018790664887527536558909385182231717303278501957297352008893216);
+  ws<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, -0.5229899496273203531021836240814670901286300106249589336522580913925382314180343142582930298688973328);
+  ws<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, -0.4894022271802149690362312519962933689234100060163590345114659679736814083816206187318524147462752111);
+  ws<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, -0.4588564134818020881945707413259267147702798410198651247860751590059996177594865393191440343561489497);
+  ws<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, -0.430758874527112757916530656841372138819645982270515538512158436501726397121990576271580205308878207);
+  ws<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, -0.4046836216050718653643250056478665857931866093242449366197023952738694255086107304901218425119878285);
+  ws<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, -0.3803130203301711158303965355878156301369877394562403253806911002545713191362049178479001390543005669);
+  ws<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, -0.3574029561813889030688111040559047533165905550760120436276204485896714025961457962896168513444411851);
+  ws<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, -0.3357611647889027517286807582305262236620547459507665934563718789670705154001183482511605249232725262);
+  ws<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, -0.3152331201461386435765969738874032981030054464637097661705367708887648429131963353376761780892891198);
+  ws<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, -0.2956924930138396731882414803341009766267402363327831485839773479792571341845506001421908939342687003);
+  ws<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, -0.2770344936961942277405408649408688233196542455843784252217943010706466317584602777484953020015260171);
+  ws<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, -0.2591711018190737450566519502154067057135883397008937032218391275127128217957580326598838960236799743);
+  ws<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, -0.2420275690015187377858338945726638068700099098394765251572836145818480355482127963663852628850474365);
+  ws<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, -0.2255398031589208520522477564458058214947250100630471825833168970061295445194143654537283079293631882);
+  ws<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, -0.2096523776773757526854110454922591821172341338912795099236642246474810661153254626268152915502654464);
+  ws<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, -0.1943169925501295306267806518866699513042867279514786976609290465447683131164947042462416733465191705);
+  ws<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, -0.1794912683479847336169956193772297997551233686606176679348345166799006378410748708389238307302596092);
+  ws<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, -0.1651377892669526609846674769813353453533631060975171667664202096550705187268670901310309631101894252);
+  ws<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, -0.1512233352864070831284495817823327538270829682666487244093315171463780635423561100568377622135186516);
+  ws<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, -0.1377182597958957974485081647284122921614575977782346246206306428239556449434198032928042029722138321);
+  ws<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, -0.1245959804557266577566667196210790531357931527107938915216224185712652948438844608688497767379885997);
+  ws<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, -0.1118325591589629648335694568202658422726453622912658633296897727621943319600088273854870109175450158);
+  ws<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, -0.09940635280454481474353567186786621057820625354936552021878311951478746295439312235429098520600693655);
+  ws<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, -0.0872977208615799240409197586602731399264877335001009828544494658243661146551788411188719365040631665);
+  ws<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, -0.07548877886579220591933915955796681153524932228333916508394604171275936228487984352484617277876166196);
+  ws<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, -0.06396318935617251019529498180168867456392641049371161867095248726275828927462089387234209569688498636);
+  ws<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, -0.05270598355154634795995650617915721289427674396592395159861151190218069285705994080638064249535030165);
+  ws<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, -0.0417034084364844738987273381255397678625601003793974576012640697941798897037109744906565096871084505);
+  ws<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, -0.03094279498284817939791038065611524917275896960162863310717850085820789123932160879579380708946724763);
+  ws<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, -0.02041244405580766725973605390749548004158612495647388221129868845283704895545337928376001388096747673);
+  ws<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, -0.01010152719853875327292018767138623973670903993475235877290726369225412969738704722202330440072213641);
+  ws<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 0);
+  ws<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 0.009901473843595011885336326816570107953627746494917415482611387085655068978243229360100010886171970918);
+  ws<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 0.01961158933740562729168248268298370977812129423409093067066057185151403434315590894008191205649296367);
+  ws<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 0.02913845916787001265458568152535395243296458501852019787733534716701300947181963767753439648797667795);
+  ws<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 0.03848966594197856933287598180923987047561124099417969473653441752849562865576161248185402614815991005);
+  ws<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 0.04767230860012937472638890051416087074706296593389050213640962398757901310991378849253401839554247932);
+  ws<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 0.05669304377414432493107872588796066666126335321712197451058496819855703149168243802045469883952188552);
+  ws<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 0.06555812274442272075701853672870305774479404911034476570035450491724937359575494857058381868464932454);
+  ws<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 0.07427342455278083997072135190143718509109109085324108067398934333182382982634706320903236612485848405);
+  ws<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 0.08284448574644162210327285639805993759142367414790119841318433362329213386156887296335560991622282284);
+  ws<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 0.0912765271608622642998957214231795686531192240514720326483083946071722462544175516502066459299560671);
+  ws<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 0.09957447809219979168181062315832233980460887841902355310769435168948823854831388504977465633939682845);
+  ws<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 0.1077429981622769541092028233904076346257727607117049788632909974125087436037688769621472372382338589);
+  ws<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 0.1157864971383620420455904585908175984070719832012079215609230219591260309061070611295890797209058613);
+  ws<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 0.123709152935653268637225082319130933018353939077412845800247462273779701933149651969922416814563643);
+  ws<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 0.1315149280010344580474416667366241780127651069693569916108339146599686985542850094826506230355645206);
+  ws<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 0.1392075842516055911219563262364716100580324132271864711438857091601938661529783118284822918918762012);
+  ws<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 0.1467906967200019429098356045334600022599041243103780089713630524471411698742480890410424556292186252);
+  ws<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 0.1542676660400332595939671017213220881360827710416946348345860549372631184130438485651715394816551156);
+  ws<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 0.1616417298902320361099923668622409534689583622433205732144762283241135493479959458637574220609547663);
+  ws<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 0.1689159734991095651164749037058183987284469135107297553319388783258832067427865597883933228919370041);
+  ws<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 0.176093339303957105084240207040480028792877878787501699026158171529756555902997254667356047116441788);
+  ws<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 0.1831766358446274967063002214815526159126266889851598585852904605011653998837614409160807673866997377);
+  ws<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 0.1901685459646637418459898415362480836632528245228542609994635862866965513625128722227696305198415266);
+  ws<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 0.1970716343842153356374997203517126469395880032764377549805749691269132085609349859323881542196582345);
+  ws<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 0.2038883547022401644431818313271398701493524772101596349734062600818193640670940526181645713107956088);
+  ws<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 0.2106210558793939073502149913441295543358575322967676769367700683562463350885767192666542957075712751);
+  ws<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 0.2172719882476450310112829333455034301692311490231843772189917487700633677693451679449281229277444);
+  ws<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 0.2238433090879237484082608989533539628744637740613473368794338628306680030796510487992807280960350863);
+  ws<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 0.230337087812934212569787581174413102713202565273940246146535096101718965948694383449116272546328387);
+  ws<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 0.2367553107885593168713669913131022529850076068942822776500825494062035956449035725319106127888967252);
+  ws<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 0.2430998858240055404991486201117080426760827615791233989777935602839590601547710113790997280209616842);
+  ws<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 0.2493726463579186824703694885450067240777490681347030220353778714445393581714407422015446216089384764);
+  ws<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 0.255575355365104731122377747221405406075211883935782315620283025379607560268766005462481341306785098);
+  ws<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 0.2617097090061743695408970492873886795528577990555646770473973759567281587373896180370074675102853899);
+  ws<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 0.2677773400403608426926161268075028522173112518463765933864820650709836250445193581155036917009299903);
+  ws<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 0.2737798210199097285877692071254930326690991310905656381739509847292712940678493744834592887738653624);
+  ws<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 0.279718667282780030688985330053563938014151152536888220220066424808617200267097125397004630221318648);
+  ws<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 0.2855953397589067078034135225526038434573251024673070045734211311120835242005964286865861813715576376);
+  ws<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 0.2914112476039358811079401653518892721830457004248980213382598417991951999360380881350324421536041991);
+  ws<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 0.2971677506731385467797269622470213419044581015501274519083671027242648030351552074110959032585686367);
+  ws<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 0.3028661618471218240709788492447379933660682925225029587250796959940885465093714030223793579774677182);
+  ws<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 0.3085077492199755507560853270193391876750205224915338763730055720866605941218639559241097041425718389);
+  ws<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 0.3140937381596049465307653625755662577673424859113972924301418900103932566506643308363685842713510345);
+  ws<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 0.3196253132491970154264844863020982117371468405067770401175599100299218378827848337045090472924417639);
+  ws<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 0.3251036201180404567925882149866539513803608104758008850889564944127408970111984388784259876569696298);
+  ws<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 0.3305297671692582446013104792754623176896333299898173620545327652833709938789531370957735854140619173);
+  ws<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 0.3359048272114117659741549735010360281170238179628782075568249283432891398635686044147614597227718316);
+  ws<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 0.3412298390003893228052121236143338755316388573531939840892239102731223392510954828680280968924289841);
+  ws<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 0.3465058086974944293540338951489158955895910665452626949454054191729967933634547552073491283786892473);
+  ws<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 0.3517337112491958260249093009299510651714642155171118040466438461099606107203387108968323038321915693);
+  ws<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 0.356914491693587151869424246256045038549439930737927770357941686970717473161840668532896372614750844);
+  ws<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 0.3620490663982259224347136211795537282192272992052648623722265772196673697387836128745005565051134501);
+  ws<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 0.3671383242336754065717073384163048245222026534654156361188807018443753849870522240862625069431927886);
+  ws<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 0.3721831276867561125667772461128588424710274544378039645877124572815833807252348818205119412993474916);
+  ws<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 0.3771843139172231305654429202753334704233212269643890432815783280355585518582574589199227373679397234);
+  ws<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 0.3821426957613190709393551341272838157890329391308789323327108090412283903082231991030667000296469447);
+  ws<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 0.3870590626854075768406867666899001946809584949146574272916930955076684732166306691825829034241158645);
+  ws<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 0.3919341816926673886247930427095007681691393368820432019135743979557612444151495005378394686508979365);
+  ws<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 0.3967687981856199130952904028742195107327166899059243534847812692294320278426834780185947685265825165);
+  ws<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 0.4015636367870725946626664537946836866230027160063511402379921560604975325206585381386527082762303647);
+  ws<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 0.4063194021218846501705479426913810870863608030934864938423596576756863248859417057476841165663966806);
+  ws<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 0.4110367795617996075205416204209832162005305795083946929235957810141140813392726029732502982435129093);
+  ws<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 0.4157164359354393999190647189307900734531788488207389484153095921329397217223528187979110265697876198);
+  ws<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 0.4203590202054164452305419772022302902943227646223432518640399730485379665439298245520857153666787776);
+};
+// End of lambert_w_mp_values.ipp 
diff --git a/src/boost/libs/math/test/lanczos_smoothing_test.cpp b/src/boost/libs/math/test/lanczos_smoothing_test.cpp
new file mode 100644
index 00000000..e7dbeac0
--- /dev/null
+++ b/src/boost/libs/math/test/lanczos_smoothing_test.cpp
@@ -0,0 +1,708 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE lanczos_smoothing_test
+
+#include <random>
+#include <array>
+#include <boost/range.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/differentiation/lanczos_smoothing.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/next.hpp> // for float_distance
+#include <boost/math/tools/condition_numbers.hpp>
+
+using std::abs;
+using std::pow;
+using std::sqrt;
+using std::sin;
+using boost::math::constants::two_pi;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::differentiation::discrete_lanczos_derivative;
+using boost::math::differentiation::detail::discrete_legendre;
+using boost::math::differentiation::detail::interior_velocity_filter;
+using boost::math::differentiation::detail::boundary_velocity_filter;
+using boost::math::tools::summation_condition_number;
+
+template<class Real>
+void test_dlp_norms()
+{
+    std::cout << "Testing Discrete Legendre Polynomial norms on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    auto dlp = discrete_legendre<Real>(1, Real(0));
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(0), 3, tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(1), 2, tol);
+    dlp = discrete_legendre<Real>(2, Real(0));
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(0), Real(5)/Real(2), tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(1), Real(5)/Real(4), tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(2), Real(3*3*7)/Real(pow(2,6)), 2*tol);
+    dlp = discrete_legendre<Real>(200, Real(0));
+    for(size_t r = 0; r < 10; ++r)
+    {
+        Real calc = dlp.norm_sq(r);
+        Real expected = Real(2)/Real(2*r+1);
+        // As long as r << n, ||q_r||^2 -> 2/(2r+1) as n->infty
+        BOOST_CHECK_CLOSE_FRACTION(calc, expected, 0.05);
+    }
+
+}
+
+template<class Real>
+void test_dlp_evaluation()
+{
+    std::cout << "Testing evaluation of Discrete Legendre polynomials on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    size_t n = 25;
+    Real x = 0.72;
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q0 = dlp(x, 0);
+    BOOST_TEST(q0 == 1);
+    Real q1 = dlp(x, 1);
+    BOOST_TEST(q1 == x);
+    Real q2 = dlp(x, 2);
+    int N = 2*n+1;
+    Real expected = 0.5*(3*x*x - Real(N*N - 1)/Real(4*n*n));
+    BOOST_CHECK_CLOSE_FRACTION(q2, expected, tol);
+    Real q3 = dlp(x, 3);
+    expected = (x/3)*(5*expected - (Real(N*N - 4))/(2*n*n));
+    BOOST_CHECK_CLOSE_FRACTION(q3, expected, 2*tol);
+
+    // q_r(x) is even for even r, and odd for odd r:
+    for (size_t n = 8; n < 22; ++n)
+    {
+        dlp = discrete_legendre<Real>(n, x);
+        for(size_t r = 2; r <= n; ++r)
+        {
+            if (r & 1)
+            {
+                Real q1 = dlp(x, r);
+                Real q2 = -dlp(-x, r);
+                BOOST_CHECK_CLOSE_FRACTION(q1, q2, tol);
+            }
+            else
+            {
+                Real q1 = dlp(x, r);
+                Real q2 = dlp(-x, r);
+                BOOST_CHECK_CLOSE_FRACTION(q1, q2, tol);
+            }
+
+            Real l2_sq = 0;
+            for (int j = -(int)n; j <= (int) n; ++j)
+            {
+                Real y = Real(j)/Real(n);
+                Real term = dlp(y, r);
+                l2_sq += term*term;
+            }
+            l2_sq /= n;
+            Real l2_sq_expected = dlp.norm_sq(r);
+            BOOST_CHECK_CLOSE_FRACTION(l2_sq, l2_sq_expected, 20*tol);
+        }
+    }
+}
+
+template<class Real>
+void test_dlp_next()
+{
+    std::cout << "Testing Discrete Legendre polynomial 'next' function on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+
+    for(size_t n = 2; n < 20; ++n)
+    {
+        for(Real x = -1; x <= 1; x += 0.1)
+        {
+            auto dlp = discrete_legendre<Real>(n, x);
+            for (size_t k = 2; k < n; ++k)
+            {
+                BOOST_CHECK_CLOSE(dlp.next(), dlp(x, k), tol);
+            }
+
+            dlp = discrete_legendre<Real>(n, x);
+            for (size_t k = 2; k < n; ++k)
+            {
+                BOOST_CHECK_CLOSE(dlp.next_prime(), dlp.prime(x, k), tol);
+            }
+        }
+    }
+}
+
+
+template<class Real>
+void test_dlp_derivatives()
+{
+    std::cout << "Testing Discrete Legendre polynomial derivatives on type " << typeid(Real).name() << "\n";
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    int n = 25;
+    Real x = 0.72;
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q0p = dlp.prime(x, 0);
+    BOOST_TEST(q0p == 0);
+    Real q1p = dlp.prime(x, 1);
+    BOOST_TEST(q1p == 1);
+    Real q2p = dlp.prime(x, 2);
+    Real expected = 3*x;
+    BOOST_CHECK_CLOSE_FRACTION(q2p, expected, tol);
+}
+
+template<class Real>
+void test_dlp_second_derivative()
+{
+    std::cout << "Testing Discrete Legendre polynomial derivatives on type " << typeid(Real).name() << "\n";
+    int n = 25;
+    Real x = Real(1)/Real(3);
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q2pp = dlp.next_dbl_prime();
+    BOOST_TEST(q2pp == 3);
+}
+
+
+template<class Real>
+void test_interior_velocity_filter()
+{
+    using boost::math::constants::half;
+    std::cout << "Testing interior filter on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    for(int n = 1; n < 10; ++n)
+    {
+        for (int p = 1; p < n; p += 2)
+        {
+            auto f = interior_velocity_filter<Real>(n,p);
+            // Since we only store half the filter coefficients,
+            // we need to reindex the moment sums:
+            auto cond = summation_condition_number<Real>(0);
+            for (size_t j = 0; j < f.size(); ++j)
+            {
+                cond += j*f[j];
+            }
+            BOOST_CHECK_CLOSE_FRACTION(cond.sum(), half<Real>(), 2*cond()*tol);
+
+            for (int l = 3; l <= p; l += 2)
+            {
+                cond = summation_condition_number<Real>(0);
+                for (size_t j = 0; j < f.size() - 1; ++j)
+                {
+                    cond += pow(Real(j), l)*f[j];
+                }
+                Real expected = -pow(Real(f.size() - 1), l)*f[f.size()-1];
+                BOOST_CHECK_CLOSE_FRACTION(expected, cond.sum(), 7*cond()*tol);
+            }
+            //std::cout << "(n,p) = (" << n  << "," << p << ") = {";
+            //for (auto & x : f)
+            //{
+            //    std::cout << x << ", ";
+            //}
+            //std::cout << "}\n";
+        }
+    }
+}
+
+template<class Real>
+void test_interior_lanczos()
+{
+    std::cout << "Testing interior Lanczos on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500);
+    std::fill(v.begin(), v.end(), 7);
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(0.1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                Real dvdt = dld(v, m);
+                BOOST_CHECK_SMALL(dvdt, tol);
+            }
+            auto dvdt = dld(v);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_SMALL(dvdt[m], tol);
+            }
+        }
+    }
+
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8;
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                Real dvdt = dld(v, m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, 2000*tol);
+            }
+            auto dvdt = dld(v);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dvdt[m], 7, 2000*tol);
+            }
+        }
+    }
+
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "Seed = " << seed << "\n";
+    std::mt19937 gen(4172378669);
+    std::normal_distribution<> dis{0, 0.01};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8 + dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v, m), Real(7), Real(0.0042));
+            }
+        }
+    }
+
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 15*i*i + 7*i+8 + dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v,m), Real(30*m + 7), Real(0.00008));
+            }
+        }
+    }
+
+    std::normal_distribution<> dis1{0, 0.0001};
+    Real omega = Real(1)/Real(16);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(i*omega) + dis1(gen);
+    }
+
+    for (size_t n = 10; n < 20; ++n)
+    {
+        for (size_t p = 3; p < 100 && p < n/2; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+
+            for (size_t m = n; m < v.size() - n && m < n + 10; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v,m), omega*cos(omega*m), Real(0.03));
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_boundary_velocity_filters()
+{
+    std::cout << "Testing boundary filters on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    for(int n = 1; n < 5; ++n)
+    {
+        for (int p = 1; p < 2*n+1; ++p)
+        {
+            for (int s = -n; s <= n; ++s)
+            {
+                auto f = boundary_velocity_filter<Real>(n, p, s);
+                // Sum is zero:
+                auto cond = summation_condition_number<Real>(0);
+                for (size_t i = 0; i < f.size() - 1; ++i)
+                {
+                    cond += f[i];
+                }
+
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), -f[f.size()-1], 6*cond()*tol);
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size(); ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    // note the shifted index here:
+                    cond += (j-s)*f[k];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), 1, 6*cond()*tol);
+
+
+                for (int l = 2; l <= p; ++l)
+                {
+                    cond = summation_condition_number<Real>(0);
+                    for (size_t k = 0; k < f.size() - 1; ++k)
+                    {
+                        Real j = Real(k) - Real(n);
+                        // The condition number of this sum is infinite!
+                        // No need to get to worked up about the tolerance.
+                        cond += pow(j-s, l)*f[k];
+                    }
+
+                    Real expected = -pow(Real(f.size()-1) - Real(n) - Real(s), l)*f[f.size()-1];
+                    if (expected == 0)
+                    {
+                        BOOST_CHECK_SMALL(cond.sum(), cond()*tol);
+                    }
+                    else
+                    {
+                        BOOST_CHECK_CLOSE_FRACTION(expected, cond.sum(), 200*cond()*tol);
+                    }
+                }
+
+                //std::cout << "(n,p,s) = ("<< n << ", " << p << "," << s << ") = {";
+                //for (auto & x : f)
+                //{
+                //    std::cout << x << ", ";
+                //}
+                //std::cout << "}\n";*/
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_boundary_lanczos()
+{
+    std::cout << "Testing Lanczos boundary on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500, 7);
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(0.0125), n, p);
+            for (size_t m = 0; m < n; ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_SMALL(dvdt, 4*sqrt(tol));
+            }
+            for (size_t m = v.size() - n; m < v.size(); ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_SMALL(dvdt, 4*sqrt(tol));
+            }
+        }
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8;
+    }
+
+    for (size_t n = 3; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < n; ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, sqrt(tol));
+            }
+
+            for (size_t m = v.size() - n; m < v.size(); ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, 4*sqrt(tol));
+            }
+        }
+    }
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 15*i*i + 7*i+8;
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(lsd(v,m), 30*m+7, 30*sqrt(tol));
+            }
+        }
+    }
+
+    // Demonstrate that the boundary filters are also denoising:
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "seed = " << seed << "\n";
+    std::mt19937 gen(311354333);
+    std::normal_distribution<> dis{0, 0.01};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] += dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(lsd(v,m), 30*m+7, 0.005);
+            }
+            auto dvdt = lsd(v);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dvdt[m], 30*m+7, 0.005);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_acceleration_filters()
+{
+    Real eps = std::numeric_limits<Real>::epsilon();
+    for (size_t n = 1; n < 5; ++n)
+    {
+        for(size_t p = 3; p <= 2*n; ++p)
+        {
+            for(int64_t s = -int64_t(n); s <= 0; ++s)
+            {
+                auto g = boost::math::differentiation::detail::acceleration_filter<long double>(n,p,s);
+
+                std::vector<Real> f(g.size());
+                for (size_t i = 0; i < g.size(); ++i)
+                {
+                    f[i] = static_cast<Real>(g[i]);
+                }
+
+                auto cond = summation_condition_number<Real>(0);
+
+                for (size_t i = 0; i < f.size() - 1; ++i)
+                {
+                    cond += f[i];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), -f[f.size()-1], 10*cond()*eps);
+
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size() -1; ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    cond += (j-s)*f[k];
+                }
+                Real expected = -(Real(f.size()-1)- Real(n) - s)*f[f.size()-1];
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), expected, 10*cond()*eps);
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size(); ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    cond += (j-s)*(j-s)*f[k];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), 2, 100*cond()*eps);
+                // See unlabelled equation in McDevitt, 2012, just after equation 26:
+                // It appears that there is an off-by-one error in that equation, since p + 1 moments don't vanish, only p.
+                // This test is itself suspect; the condition number of the moment sum is infinite.
+                // So the *slightest* error in the filter gets amplified by the test; in terms of the
+                // behavior of the actual filter, it's not a big deal.
+                for (size_t l = 3; l <= p; ++l)
+                {
+                    cond = summation_condition_number<Real>(0);
+                    for (size_t k = 0; k < f.size() - 1; ++k)
+                    {
+                        Real j = Real(k) - Real(n);
+                        cond += pow((j-s), l)*f[k];
+                    }
+                    Real expected = -pow(Real(f.size()- 1 - n -s), l)*f[f.size()-1];
+                    BOOST_CHECK_CLOSE_FRACTION(cond.sum(), expected, 1000*cond()*eps);
+                }
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_lanczos_acceleration()
+{
+    Real eps = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(100, 7);
+    auto lanczos = discrete_lanczos_derivative<Real, 2>(Real(1), 4, 3);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(lanczos(v, i), eps);
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i + 6;
+    }
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(lanczos(v,i), 200*eps);
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i*i + 9*i + 6;
+    }
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(lanczos(v, i), 14, 1500*eps);
+    }
+
+    // Now add noise, and kick up the smoothing of the Lanzcos derivative (increase n):
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "seed = " << seed << "\n";
+    size_t seed = 2507134629;
+    std::mt19937 gen(seed);
+    Real std_dev = 0.1;
+    std::normal_distribution<Real> dis{0, std_dev};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] += dis(gen);
+    }
+    lanczos = discrete_lanczos_derivative<Real, 2>(Real(1), 18, 3);
+    auto w = lanczos(v);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(w[i], 14, std_dev/200);
+    }
+}
+
+template<class Real>
+void test_rescaling()
+{
+    std::cout << "Test rescaling on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500);
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i*i + 9*i + 6;
+    }
+    std::vector<Real> dvdt1(500);
+    std::vector<Real> dvdt2(500);
+    auto lanczos1 = discrete_lanczos_derivative(Real(1));
+    auto lanczos2 = discrete_lanczos_derivative(Real(2));
+
+    lanczos1(v, dvdt1);
+    lanczos2(v, dvdt2);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dvdt1[i], 2*dvdt2[i], tol);
+    }
+
+    auto lanczos3 = discrete_lanczos_derivative<Real, 2>(Real(1));
+    auto lanczos4 = discrete_lanczos_derivative<Real, 2>(Real(2));
+
+
+    std::vector<Real> dv2dt21(500);
+    std::vector<Real> dv2dt22(500);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dv2dt21[i], 4*dv2dt22[i], tol);
+    }
+}
+
+template<class Real>
+void test_data_representations()
+{
+    std::cout << "Test rescaling on type " << typeid(Real).name() << "\n";
+    Real tol = 150*std::numeric_limits<Real>::epsilon();
+    std::array<Real, 500> v;
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 9*i + 6;
+    }
+    std::array<Real, 500> dvdt;
+    auto lanczos = discrete_lanczos_derivative(Real(1));
+
+    lanczos(v, dvdt);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dvdt[i], 9, tol);
+    }
+
+    boost::numeric::ublas::vector<Real> w(500);
+    boost::numeric::ublas::vector<Real> dwdt(500);
+    for(size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = 9*i + 6;
+    }
+
+    lanczos(w, dwdt);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dwdt[i], 9, tol);
+    }
+
+    auto v1 = boost::make_iterator_range(v.begin(), v.end());
+    auto v2 = boost::make_iterator_range(dvdt.begin(), dvdt.end());
+    lanczos(v1, v2);
+
+    for(size_t i = 0; i < v2.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(v2[i], 9, tol);
+    }
+
+    auto lanczos2 = discrete_lanczos_derivative<Real, 2>(Real(1));
+
+    lanczos2(v1, v2);
+
+    for(size_t i = 0; i < v2.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(v2[i], 10*tol);
+    }
+
+}
+
+BOOST_AUTO_TEST_CASE(lanczos_smoothing_test)
+{
+    test_dlp_second_derivative<double>();
+    test_dlp_norms<double>();
+    test_dlp_evaluation<double>();
+    test_dlp_derivatives<double>();
+    test_dlp_next<double>();
+
+    // Takes too long!
+    //test_dlp_norms<cpp_bin_float_50>();
+    test_boundary_velocity_filters<double>();
+    test_boundary_velocity_filters<long double>();
+    // Takes too long!
+    //test_boundary_velocity_filters<cpp_bin_float_50>();
+    test_boundary_lanczos<double>();
+    test_boundary_lanczos<long double>();
+    // Takes too long!
+    //test_boundary_lanczos<cpp_bin_float_50>();
+
+    test_interior_velocity_filter<double>();
+    test_interior_velocity_filter<long double>();
+    test_interior_lanczos<double>();
+
+    test_acceleration_filters<double>();
+
+    test_lanczos_acceleration<float>();
+    test_lanczos_acceleration<double>();
+
+    test_rescaling<double>();
+    test_data_representations<double>();
+}
diff --git a/src/boost/libs/math/test/legendre_p.ipp b/src/boost/libs/math/test/legendre_p.ipp
new file mode 100644
index 00000000..8cf26697
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_p.ipp
@@ -0,0 +1,148 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 140> legendre_p = {{
+      {{ SC_(3.0), SC_(-0.804919183254241943359375), SC_(-0.09637879251279735399302410605920296560178428535437), SC_(-0.84585603807674271376114723023136351467791030262194) }}, 
+      {{ SC_(3.0), SC_(-0.74602639675140380859375), SC_(0.081027074619746344180737168075984167003866787126753), SC_(-0.80282652754865351221792807765781454966620965987346) }}, 
+      {{ SC_(3.0), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886), SC_(-0.77778604740049228448138273219369426999256253154477) }}, 
+      {{ SC_(3.0), SC_(-0.62323606014251708984375), SC_(0.32965574890576083785628027375894100181596968468511), SC_(-0.54513199810739721932916528089324249381856320981233) }}, 
+      {{ SC_(3.0), SC_(-0.5579319000244140625), SC_(0.40270407973501426077134190961714921286329627037048), SC_(-0.36518655840013507868281802164420656404202160032323) }}, 
+      {{ SC_(3.0), SC_(-0.44300353527069091796875), SC_(0.44715433191447753543307951822408097264371917844983), SC_(-0.036791936427532285617966259083782977179826877960429) }}, 
+      {{ SC_(3.0), SC_(-0.38366591930389404296875), SC_(0.43431026413595020613207998332397363761003816762241), SC_(0.12305391050245773781086426664843252339855233834581) }}, 
+      {{ SC_(3.0), SC_(0.09376299381256103515625), SC_(-0.13858369755095318860018104847528497280961801152444), SC_(0.63165561565784611978985918320060987131739507929363) }}, 
+      {{ SC_(3.0), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978), SC_(0.63114960637026901412475946814198954544987429570206) }}, 
+      {{ SC_(3.0), SC_(0.264718532562255859375), SC_(-0.35070182432271000038054645231433426033618161454797), SC_(0.39637508312826953308089998658220280933868101174524) }}, 
+      {{ SC_(3.0), SC_(0.62944734096527099609375), SC_(-0.32069719648529449984920462269136209876307930244366), SC_(-0.561319593950734471650860089348537659182887471015) }}, 
+      {{ SC_(3.0), SC_(0.67001712322235107421875), SC_(-0.25306053375130974366335052634993663112084050226258), SC_(-0.66081564793406011705012545543655510789740391137235) }}, 
+      {{ SC_(3.0), SC_(0.81158387660980224609375), SC_(0.11903579598709513016345544955329471825677956076106), SC_(-0.84529721625683760880474150426292608647145977571808) }}, 
+      {{ SC_(3.0), SC_(0.826751708984375), SC_(0.1726224256643575927228084765374660491943359375), SC_(-0.83881729781391507585288129748948101183986537673708) }}, 
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+      {{ SC_(18.0), SC_(0.81158387660980224609375), SC_(-0.059414308841952830929071045427642264332649709039605), SC_(0.36941533931174362399141104265754795528484218175544) }}, 
+      {{ SC_(18.0), SC_(0.826751708984375), SC_(-0.1661861116384618036402153021294856784649918532195), SC_(0.28742497280291907514593608858531889117823779493292) }}, 
+      {{ SC_(18.0), SC_(0.91501367092132568359375), SC_(0.24104179066621669826861428047478740284125071072384), SC_(-0.25816581242891276150855737931173321477113736399573) }}, 
+      {{ SC_(18.0), SC_(0.92977702617645263671875), SC_(0.30345956430814040115575308179633295683878952009221), SC_(0.053205379543234927660568467761641814470230916738039) }}, 
+      {{ SC_(18.0), SC_(0.93538987636566162109375), SC_(0.28695924419323148602457516358630434274549630594269), SC_(0.19040502613280754358590157800975680518526525190133) }}, 
+      {{ SC_(18.0), SC_(0.93773555755615234375), SC_(0.27214637032176476176235696410333280489913435468021), SC_(0.24695230662862708114901251701483136230530918002153) }}, 
+      {{ SC_(18.0), SC_(0.98576259613037109375), SC_(-0.30043454768104230746662772278855454488514250456508), SC_(-0.52586497321495004128692505709794988132542865806662) }}, 
+      {{ SC_(18.0), SC_(0.99292266368865966796875), SC_(0.10905904618186494808823511070262036756283922080124), SC_(-0.8190043052645567950966181297246945012178431035647) }}, 
+      {{ SC_(19.0), SC_(-0.804919183254241943359375), SC_(-0.13197080377202665736616914483295430386103226798339), SC_(0.30439185079461838727386102511417679445130143697504) }}, 
+      {{ SC_(19.0), SC_(-0.74602639675140380859375), SC_(-0.145888472515752488322967820082056444353328274887), SC_(-0.26146280837274387072049326070853702574943967213499) }}, 
+      {{ SC_(19.0), SC_(-0.72904598712921142578125), SC_(-0.049543273739376098938164118341034405465324305394334), SC_(-0.33399130950651187664252780722066231231086715215037) }}, 
+      {{ SC_(19.0), SC_(-0.62323606014251708984375), SC_(0.108462474462736719241499115773313996144190665045), SC_(0.27188868340165133975799203281538322711757069710654) }}, 
+      {{ SC_(19.0), SC_(-0.5579319000244140625), SC_(-0.16898700597587011902855624616392747901805702881528), SC_(0.16296957620279172219978419815087191821651266886829) }}, 
+      {{ SC_(19.0), SC_(-0.44300353527069091796875), SC_(0.086774244261237041187502205186727910747248943821998), SC_(-0.2669005399736008170995423913834449884708993279043) }}, 
+      {{ SC_(19.0), SC_(-0.38366591930389404296875), SC_(0.18518233719073980253783272267881493406790394149709), SC_(0.050815807727239433167794934837935315089529954541468) }}, 
+      {{ SC_(19.0), SC_(0.09376299381256103515625), SC_(-0.1749285947092888721974786955725138685456169025118), SC_(-0.073354024188019371331713593919507214584741353774141) }}, 
+      {{ SC_(19.0), SC_(0.0944411754608154296875), SC_(-0.17429825143908666454510603569046385180196182465626), SC_(-0.077001126265999192631865199712139132518527301044888) }}, 
+      {{ SC_(19.0), SC_(0.264718532562255859375), SC_(0.16022500206625985912825819052448183125933330717671), SC_(0.14198924834209712722889554522828334583526568794205) }}, 
+      {{ SC_(19.0), SC_(0.62944734096527099609375), SC_(-0.13438326361094362774586020859943409104199788819994), SC_(0.24300673266449070282404274854258133237165626165118) }}, 
+      {{ SC_(19.0), SC_(0.67001712322235107421875), SC_(-0.20602713406941943301157630033028134054188569383329), SC_(-0.060940372673870113382880029493240963759634545830116) }}, 
+      {{ SC_(19.0), SC_(0.81158387660980224609375), SC_(0.086971455844324875234132438927179131969983584970598), SC_(0.34508503887069582338167006750623249283260807122053) }}, 
+      {{ SC_(19.0), SC_(0.826751708984375), SC_(-0.033442914793680897952010218712581529745899360903155), SC_(0.37454337915916963566398826067574338174597268932648) }}, 
+      {{ SC_(19.0), SC_(0.91501367092132568359375), SC_(0.15007656103598576739971044779394255546718356845339), SC_(-0.37908868831917397336990106081043384870642885722423) }}, 
+      {{ SC_(19.0), SC_(0.92977702617645263671875), SC_(0.28693501649909716776829384064013974960722420152263), SC_(-0.12313038336912701300360856578205807776474791522058) }}, 
+      {{ SC_(19.0), SC_(0.93538987636566162109375), SC_(0.30324802829239922164147482899163792077902516015462), SC_(0.017801725881771420248228319415115282604840122400748) }}, 
+      {{ SC_(19.0), SC_(0.93773555755615234375), SC_(0.30185089350015097041813236342216465473811492066808), SC_(0.080512539757557010183574032982523614885735562454396) }}, 
+      {{ SC_(19.0), SC_(0.98576259613037109375), SC_(-0.34396150797274909426987918450335894287593307514199), SC_(-0.42686745322594445556165789826564473675847159812306) }}, 
+      {{ SC_(19.0), SC_(0.99292266368865966796875), SC_(0.043969381393564338898972458003559718667557179801894), SC_(-0.81279540498362619452519349374691829897388634698573) }}
+   }};
+
diff --git a/src/boost/libs/math/test/legendre_p_large.ipp b/src/boost/libs/math/test/legendre_p_large.ipp
new file mode 100644
index 00000000..4945445d
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_p_large.ipp
@@ -0,0 +1,168 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 160> legendre_p_large = {{
+      {{ SC_(29.0), SC_(-0.74602639675140380859375), SC_(0.050915219643735786802064817454102557266509665552523), SC_(-0.27118035040452065163236941090242943684321195237749) }}, 
+      {{ SC_(29.0), SC_(-0.72904598712921142578125), SC_(0.15209960929167220423613043592541930303920942697128), SC_(-0.1438359066051312703697159687668902900032679225431) }}, 
+      {{ SC_(29.0), SC_(-0.5579319000244140625), SC_(0.15849246733249484229246386045081847903407720368835), SC_(-0.046562152771403674797644638451970346262085750814402) }}, 
+      {{ SC_(29.0), SC_(-0.38366591930389404296875), SC_(0.12421123432704035296982084866318407821031736589989), SC_(-0.13993608234219292039527623183264127314107515942999) }}, 
+      {{ SC_(29.0), SC_(0.264718532562255859375), SC_(0.14939214703729469665461134129487953904270632801499), SC_(0.011880798886655750194841085329195617037793542295307) }}, 
+      {{ SC_(29.0), SC_(0.62944734096527099609375), SC_(0.15752641351603055527713997332857496041323176430518), SC_(-0.085333543185746265108134728242042619782666873361817) }}, 
+      {{ SC_(29.0), SC_(0.67001712322235107421875), SC_(0.054837169775284662482177068305626352949947763721645), SC_(0.25355488589896471253311476119270056443895635234837) }}, 
+      {{ SC_(29.0), SC_(0.81158387660980224609375), SC_(0.063381360227496634467950288363046198618583970049264), SC_(0.28493842219370104406874711812243725560916796813782) }}, 
+      {{ SC_(29.0), SC_(0.826751708984375), SC_(-0.08420018636937566660354955907203801287585967235842), SC_(0.27769559592859630765679556893873497642068025145103) }}, 
+      {{ SC_(29.0), SC_(0.93773555755615234375), SC_(-0.24176816577505910452921016056528287088649954762181), SC_(0.094296671036158090707906492415425184420130303729612) }}, 
+      {{ SC_(32.0), SC_(-0.74602639675140380859375), SC_(-0.10624862108385367062544557604098705758947684718283), SC_(-0.21143967375447832725357384431573889445833865564692) }}, 
+      {{ SC_(32.0), SC_(-0.72904598712921142578125), SC_(0.025162565093345926014241859993355739041989277225088), SC_(-0.26274148479323222549160374105375114037174210402628) }}, 
+      {{ SC_(32.0), SC_(-0.5579319000244140625), SC_(0.14211456817063838568644446010057604214542220046016), SC_(-0.09163254161603810457705450004999666401809984055068) }}, 
+      {{ SC_(32.0), SC_(-0.38366591930389404296875), SC_(0.14171288019304087574298677776314705938680717437038), SC_(-0.052711866447932948820821929976771090258669811818703) }}, 
+      {{ SC_(32.0), SC_(0.264718532562255859375), SC_(-0.10746376970464863575465113222711354062288152228845), SC_(0.14703447108655800801097998317667773187484429086529) }}, 
+      {{ SC_(32.0), SC_(0.62944734096527099609375), SC_(-0.15721886386953844900014008976876572130375292635363), SC_(-0.03463115417113285817814346783115703627607698101613) }}, 
+      {{ SC_(32.0), SC_(0.67001712322235107421875), SC_(0.048628774250235041116639532793364743422360425715375), SC_(-0.24343097490553436355382554969125452470269482841518) }}, 
+      {{ SC_(32.0), SC_(0.81158387660980224609375), SC_(0.14709429758897851782623104453504062279048901484918), SC_(-0.17120780885496551232352932901235943774904473019944) }}, 
+      {{ SC_(32.0), SC_(0.826751708984375), SC_(0.18197608635110136442722424209924919380946511973609), SC_(0.064598428569533734464113024874557402334768980022172) }}, 
+      {{ SC_(32.0), SC_(0.93773555755615234375), SC_(-0.061512016664104396409494145001588438528631649237376), SC_(0.36010369834698605740012216441227373597825633684005) }}, 
+      {{ SC_(33.0), SC_(-0.74602639675140380859375), SC_(-0.010238220971698350467857407217583972140726845648941), SC_(0.26483415891807978747956511959896313413438051711664) }}, 
+      {{ SC_(33.0), SC_(-0.72904598712921142578125), SC_(-0.1308485763851203410864936505227876528881511136519), SC_(0.16199934006548616731309863119775152390583901324519) }}, 
+      {{ SC_(33.0), SC_(-0.5579319000244140625), SC_(-0.12577548566890528018101278253700971908249029962743), SC_(-0.13213214605592102018000812058769351569734360406003) }}, 
+      {{ SC_(33.0), SC_(-0.38366591930389404296875), SC_(-0.084070866208971510118625762007538569384131026389396), SC_(-0.18256278466727144314587766075483055968035831220494) }}, 
+      {{ SC_(33.0), SC_(0.264718532562255859375), SC_(0.060892666049180052331868898508597370624428803024817), SC_(0.19866890409777954034785008801181600022935344886198) }}, 
+      {{ SC_(33.0), SC_(0.62944734096527099609375), SC_(-0.11433728271514716149262038842691043741855456620044), SC_(0.16755876228487195768012212741139439591382292792337) }}, 
+      {{ SC_(33.0), SC_(0.67001712322235107421875), SC_(-0.081236062053488889130078168052517557727777089991736), SC_(-0.21649027108290998691804424765459226889986656795972) }}, 
+      {{ SC_(33.0), SC_(0.81158387660980224609375), SC_(0.054836608100875136695247613465739163323207341583917), SC_(-0.26983701252599468973584716961923532939147494467454) }}, 
+      {{ SC_(33.0), SC_(0.826751708984375), SC_(0.17096451544704338934795787534509579387648987239154), SC_(-0.10583253904494668067403419241018401345294284279768) }}, 
+      {{ SC_(33.0), SC_(0.93773555755615234375), SC_(0.021689551526675134145413087356244487320455743955836), SC_(0.36566095216176988383802606024502153062571425905414) }}, 
+      {{ SC_(38.0), SC_(-0.74602639675140380859375), SC_(-0.084123836557398448368713685848077796605866311328419), SC_(0.20927452879651299362933031503631704855861507328485) }}, 
+      {{ SC_(38.0), SC_(-0.72904598712921142578125), SC_(-0.15529625891826503441381053635222357317586896447525), SC_(0.0095728141123042996678374510905606631222574103483576) }}, 
+      {{ SC_(38.0), SC_(-0.5579319000244140625), SC_(0.098453621336514494698473554065871517874604718865768), SC_(-0.15887228344501787123307716070402047502579097616639) }}, 
+      {{ SC_(38.0), SC_(-0.38366591930389404296875), SC_(0.1142998723616291395401060145662954970184529162179), SC_(0.10927652072714659779878476348183517273638952750771) }}, 
+      {{ SC_(38.0), SC_(0.264718532562255859375), SC_(0.082342405948218235800013849335056084637027957309688), SC_(0.15992426917043357157539330709673818274284050011282) }}, 
+      {{ SC_(38.0), SC_(0.62944734096527099609375), SC_(-0.068455729281013919450961847170789295612305662562268), SC_(-0.20232791952033959865517436817152841139901171805722) }}, 
+      {{ SC_(38.0), SC_(0.67001712322235107421875), SC_(0.14923503774161864776328729535793778940014260423005), SC_(-0.00081555462858474175721539924197608607382214710104177) }}, 
+      {{ SC_(38.0), SC_(0.81158387660980224609375), SC_(-0.054544375275263481570647398342926037642622621118648), SC_(0.24995338198241340981855015694448657310842038102797) }}, 
+      {{ SC_(38.0), SC_(0.826751708984375), SC_(-0.16721624694409901980215061835708625790102572947942), SC_(0.059275472334568365380770389586353873529433513464428) }}, 
+      {{ SC_(38.0), SC_(0.93773555755615234375), SC_(0.20855301957399606773775871068964050472366514949047), SC_(-0.10030484670657737103060450542322599342156588398843) }}, 
+      {{ SC_(42.0), SC_(-0.74602639675140380859375), SC_(0.049566019304086784068530075774279790089365026819016), SC_(-0.2223326328142980698042327834311390349548637605267) }}, 
+      {{ SC_(42.0), SC_(-0.72904598712921142578125), SC_(0.14591441453221755504339013126253144361512927416181), SC_(-0.03816847032424030854934985301169674005663852971074) }}, 
+      {{ SC_(42.0), SC_(-0.5579319000244140625), SC_(-0.13430204358943900275964577227355331227334636201161), SC_(0.0051973684528497691222879613574650304460896053520729) }}, 
+      {{ SC_(42.0), SC_(-0.38366591930389404296875), SC_(0.065763896800574200794337123835235188691341407252599), SC_(-0.1713134367479732947155934942710203117432539046046) }}, 
+      {{ SC_(42.0), SC_(0.264718532562255859375), SC_(-0.047554509216288149280305803250205697401306151867419), SC_(0.18095441384071096874666701309266904943143926028736) }}, 
+      {{ SC_(42.0), SC_(0.62944734096527099609375), SC_(0.10935216508815166523730605326515550073363675346191), SC_(0.1343668237290581228732195022404437327151868599812) }}, 
+      {{ SC_(42.0), SC_(0.67001712322235107421875), SC_(-0.13896760821264559453299826838169576033084249809532), SC_(0.046166285445723758516981086429175967795330032118854) }}, 
+      {{ SC_(42.0), SC_(0.81158387660980224609375), SC_(0.13257761059856394025891806012454608734090842373859), SC_(-0.14099679657580961322235886444766213263432122864624) }}, 
+      {{ SC_(42.0), SC_(0.826751708984375), SC_(0.14083726257982003772240761087663193372628899052788), SC_(0.12939522669379464935358907263220136856872326106689) }}, 
+      {{ SC_(42.0), SC_(0.93773555755615234375), SC_(-0.030227297367381724405890694551090646808341233639839), SC_(-0.32263036348629243619745931620595788155104891833781) }}, 
+      {{ SC_(47.0), SC_(-0.74602639675140380859375), SC_(0.10555867750979365926641158999955582823336205722782), SC_(-0.14886382691569576113160226420850148145570650896964) }}, 
+      {{ SC_(47.0), SC_(-0.72904598712921142578125), SC_(0.12518796913926798559687521769888776380193823473818), SC_(0.098180244656107285818363063590386661434884234727998) }}, 
+      {{ SC_(47.0), SC_(-0.5579319000244140625), SC_(0.019958376774871797942991524370694468827252910590651), SC_(-0.19713453245538155745224332261651795745681090546712) }}, 
+      {{ SC_(47.0), SC_(-0.38366591930389404296875), SC_(-0.017374612252196858651395396286373314512171227712276), SC_(0.18725030551272538736891544492946995866076663640595) }}, 
+      {{ SC_(47.0), SC_(0.264718532562255859375), SC_(-0.018801793887180091986096938136652872878107965315931), SC_(0.1828072182041642441226028996345379902315722570693) }}, 
+      {{ SC_(47.0), SC_(0.62944734096527099609375), SC_(-0.10497355122531684338594399243517694074545593042325), SC_(0.12395441308292615650354652321967372630461017577647) }}, 
+      {{ SC_(47.0), SC_(0.67001712322235107421875), SC_(0.042375691594523493089898030922098260697978949901084), SC_(-0.20027976349819205062196975868907081288964978457637) }}, 
+      {{ SC_(47.0), SC_(0.81158387660980224609375), SC_(-0.12720249332232236538255468589569255750641552199498), SC_(0.12911204921470701304207453622146811162549192306205) }}, 
+      {{ SC_(47.0), SC_(0.826751708984375), SC_(-0.11972156572489977935845748400575031716451757509736), SC_(-0.15299307930087258161082851169709559917733372444518) }}, 
+      {{ SC_(47.0), SC_(0.93773555755615234375), SC_(-0.18448824265114203879229766781768231984156422989655), SC_(0.10574076834730194623398317285604209247245691580845) }}, 
+      {{ SC_(50.0), SC_(-0.74602639675140380859375), SC_(-0.015930599657360476251420277903683541838529410897537), SC_(-0.21465912896739233133099578206788459237386714150655) }}, 
+      {{ SC_(50.0), SC_(-0.72904598712921142578125), SC_(0.12409002491708828479268113070514774903536846383229), SC_(-0.086287169891479867966715770145964370224141052863963) }}, 
+      {{ SC_(50.0), SC_(-0.5579319000244140625), SC_(-0.005798165247856899753189081564247189672477629817479), SC_(-0.19337852580649058999917721542653095981057374271772) }}, 
+      {{ SC_(50.0), SC_(-0.38366591930389404296875), SC_(-0.059497023650103635064046099627669865791536750381894), SC_(0.15794384507010689572165607053156094367974620258235) }}, 
+      {{ SC_(50.0), SC_(0.264718532562255859375), SC_(-0.065209573905631036859687403696160942576965840778783), SC_(-0.14751871407424188124249576268838594921576865374728) }}, 
+      {{ SC_(50.0), SC_(0.62944734096527099609375), SC_(0.1254648614906361354063479552814166773167878049504), SC_(-0.034440129398110338581115403924597511980186351811602) }}, 
+      {{ SC_(50.0), SC_(0.67001712322235107421875), SC_(-0.10619347339517479426067516348745796102076178371881), SC_(0.11862572725603045508458932631769711812763534799817) }}, 
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+      {{ SC_(110.0), SC_(0.264718532562255859375), SC_(0.018413502281400223048564975179622159141770330579945), SC_(0.1179172684960028730149587291496622038750077559426) }}, 
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+      {{ SC_(119.0), SC_(-0.5579319000244140625), SC_(0.080036079293206370171512732389414344286704185353321), SC_(-0.0057776707755366365863380008852867161540142918927643) }}, 
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+      {{ SC_(119.0), SC_(0.81158387660980224609375), SC_(-0.0051210369574630302606435588094752910907524904265636), SC_(0.14977897540214287229711857221722487285805056065051) }}, 
+      {{ SC_(119.0), SC_(0.826751708984375), SC_(0.0070994904638281005505473502488606481760552210237098), SC_(-0.15244878741668898076438519389186244649902911784835) }}, 
+      {{ SC_(119.0), SC_(0.93773555755615234375), SC_(-0.089511411656126705336943924861664813522610049042024), SC_(0.13442707735952316190476066030580938662981623871763) }}
+   }};
+
diff --git a/src/boost/libs/math/test/legendre_stieltjes_test.cpp b/src/boost/libs/math/test/legendre_stieltjes_test.cpp
new file mode 100644
index 00000000..e64d6431
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_stieltjes_test.cpp
@@ -0,0 +1,141 @@
+// Copyright Nick Thompson 2017.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+
+using boost::math::legendre_stieltjes;
+using boost::math::legendre_p;
+using boost::multiprecision::cpp_bin_float_quad;
+
+
+template<class Real>
+void test_legendre_stieltjes()
+{
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    using std::sqrt;
+    using std::abs;
+    using boost::math::constants::third;
+    using boost::math::constants::half;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    legendre_stieltjes<Real> ls1(1);
+    legendre_stieltjes<Real> ls2(2);
+    legendre_stieltjes<Real> ls3(3);
+    legendre_stieltjes<Real> ls4(4);
+    legendre_stieltjes<Real> ls5(5);
+    legendre_stieltjes<Real> ls8(8);
+    Real x = -1;
+    while(x <= 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(ls1(x), x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls1.prime(x), 1, tol);
+
+        Real p2 = legendre_p(2, x);
+        BOOST_CHECK_CLOSE_FRACTION(ls2(x), p2 - 2/static_cast<Real>(5), tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls2.prime(x), 3*x, tol);
+
+        Real p3 = legendre_p(3, x);
+        BOOST_CHECK_CLOSE_FRACTION(ls3(x), p3 - 9*x/static_cast<Real>(14), 600*tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls3.prime(x), 15*x*x*half<Real>() -3*half<Real>()-9/static_cast<Real>(14), 100*tol);
+
+        Real p4 = legendre_p(4, x);
+        //-20P_2(x)/27 + 14P_0(x)/891
+        Real E4 = p4 - 20*p2/static_cast<Real>(27) + 14/static_cast<Real>(891);
+        BOOST_CHECK_CLOSE_FRACTION(ls4(x), E4, 250*tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls4.prime(x), 35*x*(9*x*x -5)/static_cast<Real>(18), 250*tol);
+
+        Real p5 = legendre_p(5, x);
+        Real E5 = p5 - 35*p3/static_cast<Real>(44) + 135*x/static_cast<Real>(12584);
+        BOOST_CHECK_CLOSE_FRACTION(ls5(x), E5, 29000*tol);
+        Real E5prime = (315*(123 + 143*x*x*(11*x*x-9)))/static_cast<Real>(12584);
+        BOOST_CHECK_CLOSE_FRACTION(ls5.prime(x), E5prime, 29000*tol);
+        x += 1/static_cast<Real>(1 << 9);
+    }
+
+    // Test norm:
+    // E_1 = x
+    Real expected_norm_sq = 2*third<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls1.norm_sq(), tol);
+
+    // E_2 = P[sub 2](x) - 2P[sup 0](x)/5
+    expected_norm_sq = 2/static_cast<Real>(5) + 8/static_cast<Real>(25);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls2.norm_sq(), tol);
+
+    // E_3 = P[sub 3](x) - 9P[sub 1]/14
+    expected_norm_sq = 2/static_cast<Real>(7) + 9*9*2*third<Real>()/static_cast<Real>(14*14);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls3.norm_sq(), tol);
+
+    // E_4 = P[sub 4](x) -20P[sub 2](x)/27 + 14P[sub 0](x)/891
+    expected_norm_sq = static_cast<Real>(2)/static_cast<Real>(9) + static_cast<Real>(20*20*2)/static_cast<Real>(27*27*5) + 14*14*2/static_cast<Real>(891*891);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls4.norm_sq(), tol);
+
+    // E_5 = P[sub 5](x) - 35P[sub 3](x)/44 + 135P[sub 1](x)/12584
+    expected_norm_sq = 2/static_cast<Real>(11) + (35*35/static_cast<Real>(44*44))*(2/static_cast<Real>(7)) + (135*135/static_cast<Real>(12584*12584))*2*third<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls5.norm_sq(), tol);
+
+    // Only zero of E1 is 0:
+    std::vector<Real> zeros = ls1.zeros();
+    BOOST_CHECK(zeros.size() == 1);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_SMALL(ls1(zeros[0]), tol);
+
+    zeros = ls2.zeros();
+    BOOST_CHECK(zeros.size() == 1);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], sqrt(3/static_cast<Real>(5)), tol);
+    BOOST_CHECK_SMALL(ls2(zeros[0]), tol);
+
+    zeros = ls3.zeros();
+    BOOST_CHECK(zeros.size() == 2);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt(6/static_cast<Real>(7)), tol);
+
+
+    zeros = ls4.zeros();
+    BOOST_CHECK(zeros.size() == 2);
+    Real expected = sqrt( (55 - 2*sqrt(static_cast<Real>(330)))/static_cast<Real>(11) )/static_cast<Real>(3);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], expected, tol);
+
+    expected = sqrt( (55 + 2*sqrt(static_cast<Real>(330)))/static_cast<Real>(11) )/static_cast<Real>(3);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], expected, 10*tol);
+
+
+    zeros = ls5.zeros();
+    BOOST_CHECK(zeros.size() == 3);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+
+    expected = sqrt( ( 195 - sqrt(static_cast<Real>(6045)) )/static_cast<Real>(286));
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], expected, tol);
+
+    expected = sqrt( ( 195 + sqrt(static_cast<Real>(6045)) )/static_cast<Real>(286));
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], expected, tol);
+
+
+    for (size_t i = 6; i < 50; ++i)
+    {
+        legendre_stieltjes<Real> En(i);
+        zeros = En.zeros();
+        for(auto const & zero : zeros)
+        {
+            BOOST_CHECK_SMALL(En(zero), 50*tol);
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(LegendreStieltjesZeros)
+{
+    test_legendre_stieltjes<double>();
+    test_legendre_stieltjes<long double>();
+    test_legendre_stieltjes<cpp_bin_float_quad>();
+    //test_legendre_stieltjes<boost::multiprecision::cpp_bin_float_100>();
+}
diff --git a/src/boost/libs/math/test/ljung_box_test.cpp b/src/boost/libs/math/test/ljung_box_test.cpp
new file mode 100644
index 00000000..2c647b95
--- /dev/null
+++ b/src/boost/libs/math/test/ljung_box_test.cpp
@@ -0,0 +1,54 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/math/statistics/ljung_box.hpp>
+
+using boost::math::statistics::ljung_box;
+
+template<class Real>
+void test_trivial()
+{
+
+  // Validate in R:
+  // > v <- c(1,2)
+  // > Box.test(v, lag=1, "Ljung")
+  //	Box-Ljung test
+  // data:  v
+  // X-squared = 2, df = 1, p-value = 0.1573
+
+  std::vector<Real> v{1,2};
+
+  double expected_statistic = 2;
+  double expected_pvalue = 0.15729920705028455;
+
+  auto [computed_statistic, computed_pvalue] = ljung_box(v, 1);
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 10);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 30);
+}
+
+
+void test_agreement_with_mathematica()
+{
+  std::vector<double> v{0.7739928761039216,-0.4468259278452086,0.98287381303903,-0.3943029116201079,0.6569015496559457};
+  double expected_statistic = 10.2076093223439;
+  double expected_pvalue = 0.00607359458123835072;
+
+  auto [computed_statistic, computed_pvalue] = ljung_box(v);
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+int main()
+{
+    test_trivial<double>();
+    test_agreement_with_mathematica();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/log1p_expm1_data.ipp b/src/boost/libs/math/test/log1p_expm1_data.ipp
new file mode 100644
index 00000000..a647c60b
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_data.ipp
@@ -0,0 +1,91 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 80> log1p_expm1_data = { {
+      {{ SC_(-0.69330310821533203125e0), SC_(-0.1181895342296499380302723361817935835636e1), SC_(-0.5000779577496508480606742934033661111325e0) }}, 
+      {{ SC_(-0.650003612041473388671875e0), SC_(-0.1049832444670425873798449427248829256278e1), SC_(-0.477956108886575099597621504254337139212e0) }}, 
+      {{ SC_(-0.5634434223175048828125e0), SC_(-0.8288372954181591063099417140530721209296e0), SC_(-0.4307544676154126107123951950891833745657e0) }}, 
+      {{ SC_(-0.546193540096282958984375e0), SC_(-0.7900844716039173375586798387434829539395e0), SC_(-0.4208498682390169422105137923243733478616e0) }}, 
+      {{ SC_(-0.542549669742584228515625e0), SC_(-0.7820869679038185958797390511513816016257e0), SC_(-0.4187356706519199578716316143188015118402e0) }}, 
+      {{ SC_(-0.5222184658050537109375e0), SC_(-0.7386016923991178813343233368825674656574e0), SC_(-0.4067969136237976293436891521638796489665e0) }}, 
+      {{ SC_(-0.510332167148590087890625e0), SC_(-0.7140280098902130849529032452448458253718e0), SC_(-0.3997038529677125427667940816216463479375e0) }}, 
+      {{ SC_(-0.50135910511016845703125e0), SC_(-0.6958690918220109127943821843553816517932e0), SC_(-0.3942931192785328340465460021958309251731e0) }}, 
+      {{ SC_(-0.479341685771942138671875e0), SC_(-0.6526612791947966365578043302467499708984e0), SC_(-0.3808091201700817035685503987715593769588e0) }}, 
+      {{ SC_(-0.4362652301788330078125e0), SC_(-0.5731714043684679946812364099230074705554e0), SC_(-0.3535537538578334381043477595638178633635e0) }}, 
+      {{ SC_(-0.4033059179782867431640625e0), SC_(-0.5163507223485766856253687547437478575359e0), SC_(-0.3318923180936536087108170796894639170118e0) }}, 
+      {{ SC_(-0.3905523121356964111328125e0), SC_(-0.4952021616945213559322173628246423264147e0), SC_(-0.3233169689815286035820337522007644642142e0) }}, 
+      {{ SC_(-0.3101024627685546875e0), SC_(-0.3712121891835896680955152331639073308925e0), SC_(-0.2666281909314749260551669118328805822824e0) }}, 
+      {{ SC_(-0.2841587960720062255859375e0), SC_(-0.3342969188422780419049667231102322921458e0), SC_(-0.247352882189668478949423010818860745509e0) }}, 
+      {{ SC_(-0.268566131591796875e0), SC_(-0.3127484680657795755742977783527708289938e0), SC_(-0.2355251348015818742687440901815837983695e0) }}, 
+      {{ SC_(-0.19418840110301971435546875e0), SC_(-0.215905312065666655084617543044814851896e0), SC_(-0.1764972591721576227824907304661137322776e0) }}, 
+      {{ SC_(-0.14176605641841888427734375e0), SC_(-0.1528785551425763265780363302506293842933e0), SC_(-0.1321757453457543023426366655287893957346e0) }}, 
+      {{ SC_(-0.109534211456775665283203125e0), SC_(-0.1160105952462048156067755365883457898243e0), SC_(-0.1037484982319069072752933517880363955799e0) }}, 
+      {{ SC_(-0.2047410048544406890869140625e-1), SC_(-0.2068660038044094868521052319477265955827e-1), SC_(-0.2026592921724753704129022027337835687888e-1) }}, 
+      {{ SC_(0.1690093176520690576580818742513656616211e-8), SC_(0.1690093175092483105529122131518271037775e-8), SC_(0.16900931779488980500463190560092746436e-8) }}, 
+      {{ SC_(0.2114990849122477811761200428009033203125e-8), SC_(0.2114990846885884668978873262661703032735e-8), SC_(0.2114990851359070959273901626052243209537e-8) }}, 
+      {{ SC_(0.7099628440698779741069301962852478027344e-8), SC_(0.7099628415496417862364745346932718974223e-8), SC_(0.7099628465901141798701264063185361883662e-8) }}, 
+      {{ SC_(0.136718796284185373224318027496337890625e-7), SC_(0.1367187953495839188729947299064627330362e-7), SC_(0.1367187972187868403533999531964021065056e-7) }}, 
+      {{ SC_(0.1679341288252089725574478507041931152344e-7), SC_(0.1679341274151154071302093036120830402912e-7), SC_(0.1679341302353025616649699444201095417115e-7) }}, 
+      {{ SC_(0.586768322818898013792932033538818359375e-7), SC_(0.5867683056040454540164807679535005383825e-7), SC_(0.5867683400337515836824145241465956859382e-7) }}, 
+      {{ SC_(0.1140460881288163363933563232421875e-6), SC_(0.1140460816255617220976462903776019835232e-6), SC_(0.1140460946320716923598363683695123099251e-6) }}, 
+      {{ SC_(0.1455586016163579188287258148193359375e-6), SC_(0.1455585910227056945720521239406972268757e-6), SC_(0.1455586122100116850826593912609916845078e-6) }}, 
+      {{ SC_(0.38918477685001562349498271942138671875e-6), SC_(0.3891847011176400068545868550436683472421e-6), SC_(0.3891848525824207140259509650302544482884e-6) }}, 
+      {{ SC_(0.623782625552848912775516510009765625e-6), SC_(0.6237824310005478475318960793412787601785e-6), SC_(0.623782820105271336383228077398355607783e-6) }}, 
+      {{ SC_(0.104669607026153244078159332275390625e-5), SC_(0.1046695522475582933881286527214809459507e-5), SC_(0.1046696618048055313232628353357778906342e-5) }}, 
+      {{ SC_(0.2951089072666945867240428924560546875e-5), SC_(0.2951084718212155380639451770777340673208e-5), SC_(0.2951093427134586747271699561094046027716e-5) }}, 
+      {{ SC_(0.4877083483734168112277984619140625e-5), SC_(0.4877071590801182991613986686611799404767e-5), SC_(0.487709537672515613069814424540824650525e-5) }}, 
+      {{ SC_(0.9066634447663091123104095458984375e-5), SC_(0.9066593345981423108474522054350755440144e-5), SC_(0.9066675549717413905283549214899456610946e-5) }}, 
+      {{ SC_(0.2360353755648247897624969482421875e-4), SC_(0.2360325899737320048013584393963240356542e-4), SC_(0.236038161221667766684232806678163246188e-4) }}, 
+      {{ SC_(0.60817910707555711269378662109375e-4), SC_(0.6081606137340567462263175491115417378507e-4), SC_(0.6081976015418009724388783415958425809014e-4) }}, 
+      {{ SC_(0.119476739200763404369354248046875e-3), SC_(0.1194696024236052968763590872811035649465e-3), SC_(0.1194838768306258449523761123420162837989e-3) }}, 
+      {{ SC_(0.2437086659483611583709716796875e-3), SC_(0.2436789738154874267053728955508067082563e-3), SC_(0.2437383653179059006664060856490910639369e-3) }}, 
+      {{ SC_(0.47970912419259548187255859375e-3), SC_(0.4795941005544676642733520039561612799338e-3), SC_(0.4798242030152303995117671825532525519771e-3) }}, 
+      {{ SC_(0.960788573138415813446044921875e-3), SC_(0.9603273112237537137213831663159454349065e-3), SC_(0.9612502783347382477096533911074491600195e-3) }}, 
+      {{ SC_(0.113048148341476917266845703125e-2), SC_(0.112984297039538753162021050860817616211e-2), SC_(0.1131120718465376073328378699867756887911e-2) }}, 
+      {{ SC_(0.33707791008055210113525390625e-2), SC_(0.3365110759179022039875145678841719780479e-2), SC_(0.3376466565278741394700008076507908493073e-2) }}, 
+      {{ SC_(0.512778759002685546875e-2), SC_(0.5114685258802700303545874906083848033916e-2), SC_(0.5140957193498527263160102812012697907234e-2) }}, 
+      {{ SC_(0.7697627879679203033447265625e-2), SC_(0.7668152306886386648889951166330157951323e-2), SC_(0.7727330782215801339522867700900079915854e-2) }}, 
+      {{ SC_(0.154774188995361328125e-1), SC_(0.1535886535535876489145011045382406354476e-1), SC_(0.1559781448309931312470733745915557934013e-1) }}, 
+      {{ SC_(0.305807329714298248291015625e-1), SC_(0.3012246177452263928099228685195389251529e-1), SC_(0.3105312667138388983748287762435717112768e-1) }}, 
+      {{ SC_(0.346831791102886199951171875e-1), SC_(0.3409527271716101078966670703672108048896e-1), SC_(0.3529165481200088712490838501531684667149e-1) }}, 
+      {{ SC_(0.65634094178676605224609375e-1), SC_(0.6357001557994644965537090025497140391848e-1), SC_(0.6783591829384049159063415288088650400045e-1) }}, 
+      {{ SC_(0.6610882282257080078125e-1), SC_(0.6401540573272318085520396443445644947172e-1), SC_(0.6834297093791793596420077701374399081879e-1) }}, 
+      {{ SC_(0.9283597767353057861328125e-1), SC_(0.8877613176091369848730538080276748892544e-1), SC_(0.9728174180292914206798492307510621372797e-1) }}, 
+      {{ SC_(0.1853029727935791015625e0), SC_(0.1699984151517873986675151014366108622057e0), SC_(0.2035830378085867638230987836336350617284e0) }}, 
+      {{ SC_(0.195668697357177734375e0), SC_(0.1787056082557073958655865192859050644124e0), SC_(0.2161239335120153310995245962871550390859e0) }}, 
+      {{ SC_(0.218036949634552001953125e0), SC_(0.1972405051449346869157040783806052110702e0), SC_(0.2436330185556740271801313404522599276529e0) }}, 
+      {{ SC_(0.22476322948932647705078125e0), SC_(0.2027475432657783430097849833923015479242e0), SC_(0.2520262382028310304455135247279894706452e0) }}, 
+      {{ SC_(0.250229179859161376953125e0), SC_(0.2233268783961024315029665215194302402664e0), SC_(0.2843197231751691135236590716143900016849e0) }}, 
+      {{ SC_(0.253903329372406005859375e0), SC_(0.2262613494244882135168356599690803021814e0), SC_(0.2890471852440059179173797372107595021134e0) }}, 
+      {{ SC_(0.3161745369434356689453125e0), SC_(0.2747294509656754848973082105230889771257e0), SC_(0.3718696766716845552650417052219688730639e0) }}, 
+      {{ SC_(0.409090220928192138671875e0), SC_(0.3429442627531700751753321547062422000484e0), SC_(0.5054475372328648428694815984023805796901e0) }}, 
+      {{ SC_(0.41710007190704345703125e0), SC_(0.3486125805910782371810230966107318794672e0), SC_(0.5175543698964877990407235081110698982288e0) }}, 
+      {{ SC_(0.4173481762409210205078125e0), SC_(0.3487876441750920349995178382655357863143e0), SC_(0.5179309284235235985742545616245146385983e0) }}, 
+      {{ SC_(0.42039263248443603515625e0), SC_(0.3509333351432084595068912946293452186787e0), SC_(0.522559244493788135782100429719474184743e0) }}, 
+      {{ SC_(0.4406131207942962646484375e0), SC_(0.3650688012994099484177768785497336743499e0), SC_(0.5536595074987176176278695373720601072416e0) }}, 
+      {{ SC_(0.4500701129436492919921875e0), SC_(0.3716119090177188338876380950054248074284e0), SC_(0.5684221483289186932443765450666370231476e0) }}, 
+      {{ SC_(0.4690119922161102294921875e0), SC_(0.3845900606819792767555511238898325590012e0), SC_(0.5984141671678306664208145374987554621041e0) }}, 
+      {{ SC_(0.488781034946441650390625e0), SC_(0.3979576877817231446668587804772904526162e0), SC_(0.6303276957438828775174515106733850816524e0) }}, 
+      {{ SC_(0.52980291843414306640625e0), SC_(0.4251389156264805389990504406429844143619e0), SC_(0.6985975133709526468615664928080778563331e0) }}, 
+      {{ SC_(0.56810867786407470703125e0), SC_(0.4498702293886911216071551868503271338352e0), SC_(0.7649258494577443195036874224587751059599e0) }}, 
+      {{ SC_(0.57872617244720458984375e0), SC_(0.4566183018986474768197353974513078612477e0), SC_(0.7837647742172442075416378527651943088102e0) }}, 
+      {{ SC_(0.582029759883880615234375e0), SC_(0.4587086807259736626531803258754840111707e0), SC_(0.7896673415707786528734865994546559029663e0) }}, 
+      {{ SC_(0.607590496540069580078125e0), SC_(0.474736471992995596813856979079879927429e0), SC_(0.836002211172822800500580737750918478977e0) }}, 
+      {{ SC_(0.640033721923828125e0), SC_(0.4947168037733846594212322562172572984505e0), SC_(0.8965448333670257147748892521303229061693e0) }}, 
+      {{ SC_(0.640509545803070068359375e0), SC_(0.4950068922396821400142385044888446891867e0), SC_(0.8974474694176578931586020775970152155848e0) }}, 
+      {{ SC_(0.643289387226104736328125e0), SC_(0.4966999569758336894986723845165627033027e0), SC_(0.9027294105692233274199303070362746252986e0) }}, 
+      {{ SC_(0.64851474761962890625e0), SC_(0.4998747295737266888041967257469236722589e0), SC_(0.9126978792095101927158614842576974964632e0) }}, 
+      {{ SC_(0.650843918323516845703125e0), SC_(0.5012866228091318430397939496252397876475e0), SC_(0.9171580713331758702589264747154474769605e0) }}, 
+      {{ SC_(0.65477287769317626953125e0), SC_(0.5036637653893261974582119443232408393674e0), SC_(0.9247053242168904876365979871823094489023e0) }}, 
+      {{ SC_(0.65641486644744873046875e0), SC_(0.504655547804425337585747233639878779038e0), SC_(0.927868264760303541518755094801625468889e0) }}, 
+      {{ SC_(0.6588299274444580078125e0), SC_(0.5061124908504770714998094003973873746865e0), SC_(0.932529810907327764547265337859703076731e0) }}, 
+      {{ SC_(0.673553526401519775390625e0), SC_(0.5149492258613715166147831918156453824087e0), SC_(0.9611941077924732903931571711562687857294e0) }}, 
+      {{ SC_(0.69003379344940185546875e0), SC_(0.5247485248589687068613254590642295922543e0), SC_(0.9937829089064982966773652105234409046975e0) }}, 
+      {{ SC_(0.69504582881927490234375e0), SC_(0.5277097781183924897416903820415806504912e0), SC_(0.1003800903666412193968978978979482061619e1) }}
+   } };
+#undef SC_
+
diff --git a/src/boost/libs/math/test/log1p_expm1_test.cpp b/src/boost/libs/math/test/log1p_expm1_test.cpp
new file mode 100644
index 00000000..04d45e2c
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_test.cpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2005.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+// Requires MS extensions permitted or fails to link.
+
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include "log1p_expm1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      4,                             // Max Peek error
+      3);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test(float(0), "float");
+   test(double(0), "double");
+   //
+   // The long double version of these tests fails on some platforms
+   // due to poor std lib support (not enough digits returned from 
+   // std::log and std::exp):
+   //
+#if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+   test((long double)(0), "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test((boost::math::concepts::real_concept)(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/log1p_expm1_test.hpp b/src/boost/libs/math/test/log1p_expm1_test.hpp
new file mode 100644
index 00000000..4b423059
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_test.hpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2005.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+
+template <class Real, class T>
+void do_test(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef LOG1P_FUNCTION_TO_TEST
+   pg funcp = LOG1P_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = &boost::math::log1p<value_type>;
+#else
+   pg funcp = &boost::math::log1p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test log1p against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LOG1P_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+         bind_func<Real>(funcp, 0), 
+         extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "log1p", "Random test data");
+   std::cout << std::endl;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EXPM1_FUNCTION_TO_TEST))
+   //
+   // test expm1 against data:
+   //
+#ifdef EXPM1_FUNCTION_TO_TEST
+   funcp = EXPM1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::expm1<value_type>;
+#else
+   funcp = boost::math::expm1;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expm1", "Random test data");
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test(T, const char* type_name)
+{
+#  include "log1p_expm1_data.ipp"
+
+   do_test<T>(log1p_expm1_data, type_name, "expm1 and log1p");
+
+   //
+   // C99 Appendix F special cases:
+   static const T zero = 0;
+   static const T m_one = -1;
+   BOOST_CHECK_EQUAL(boost::math::log1p(zero), zero);
+   BOOST_CHECK_EQUAL(boost::math::log1p(T(-zero)), zero);
+   BOOST_CHECK_EQUAL(boost::math::expm1(zero), zero);
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(boost::math::log1p(m_one), -std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(boost::math::expm1(T(-std::numeric_limits<T>::infinity())), m_one);
+      BOOST_CHECK_EQUAL(boost::math::expm1(std::numeric_limits<T>::infinity()), std::numeric_limits<T>::infinity());
+#ifndef __BORLANDC__
+#ifndef BOOST_NO_EXCEPTIONS
+      // When building with Borland's compiler, simply the *presence*
+      // of these tests cause other unrelated tests to fail!!! :-(
+      using namespace boost::math::policies;
+      typedef policy<overflow_error<throw_on_error> > pol;
+      BOOST_MATH_CHECK_THROW(boost::math::log1p(m_one, pol()), std::overflow_error);
+      BOOST_MATH_CHECK_THROW(boost::math::expm1(std::numeric_limits<T>::infinity(), pol()), std::overflow_error);
+#endif
+#endif
+   }
+}
+
diff --git a/src/boost/libs/math/test/math_unit_test.hpp b/src/boost/libs/math/test/math_unit_test.hpp
new file mode 100644
index 00000000..dd664c1f
--- /dev/null
+++ b/src/boost/libs/math/test/math_unit_test.hpp
@@ -0,0 +1,150 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_TEST_HPP
+#define BOOST_MATH_TEST_TEST_HPP
+#include <atomic>
+#include <iostream>
+#include <iomanip>
+#include <cmath> // for std::isnan
+#include <boost/assert.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/core/demangle.hpp>
+
+namespace boost { namespace math { namespace  test {
+
+namespace detail {
+    static std::atomic<int64_t> global_error_count{0};
+    static std::atomic<int64_t> total_ulp_distance{0};
+}
+
+template<class Real>
+bool check_mollified_close(Real expected, Real computed, Real tol, std::string const & filename, std::string const & function, int line)
+{
+    using std::isnan;
+    BOOST_ASSERT_MSG(!isnan(tol), "Tolerance cannot be a nan.");
+    BOOST_ASSERT_MSG(!isnan(expected), "Expected value cannot be a nan.");
+    BOOST_ASSERT_MSG(tol >= 0, "Tolerance must be non-negative.");
+    if (isnan(computed)) {
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Computed value is a nan\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+    using std::max;
+    using std::abs;
+    Real denom = (max)(abs(expected), Real(1));
+    Real mollified_relative_error = abs(expected - computed)/denom;
+    if (mollified_relative_error > tol)
+    {
+        Real dist = abs(boost::math::float_distance(expected, computed));
+        detail::total_ulp_distance += static_cast<int64_t>(dist);
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Mollified relative error in " << boost::core::demangle(typeid(Real).name())<< " precision is " << mollified_relative_error
+                  << ", which exceeds " << tol << ", error/tol  = " << mollified_relative_error/tol << ".\n"
+                  << std::setprecision(std::numeric_limits<Real>::digits10) << std::showpos
+                  << "  Expected: " << std::defaultfloat << std::fixed << expected << std::hexfloat << " = " << expected << "\n"
+                  << "  Computed: " << std::defaultfloat << std::fixed << computed << std::hexfloat << " = " << computed << "\n"
+                  << std::defaultfloat
+                  << "  ULP distance: " << dist << "\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+
+        return false;
+    }
+    return true;
+}
+
+template<class PreciseReal, class Real>
+bool check_ulp_close(PreciseReal expected1, Real computed, size_t ulps, std::string const & filename, std::string const & function, int line)
+{
+    using std::max;
+    using std::abs;
+    using std::isnan;
+    // Of course integers can be expected values, and they are exact:
+    if (!std::is_integral<PreciseReal>::value) {
+        BOOST_ASSERT_MSG(sizeof(PreciseReal) >= sizeof(Real),
+                         "The expected number must be computed in higher (or equal) precision than the number being tested.");
+        BOOST_ASSERT_MSG(!isnan(expected1), "Expected value cannot be a nan.");
+    }
+
+    if (isnan(computed))
+    {
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Computed value is a nan\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+
+    Real expected = Real(expected1);
+    Real dist = abs(boost::math::float_distance(expected, computed));
+    if (dist > ulps)
+    {
+        detail::total_ulp_distance += static_cast<int64_t>(dist);
+        Real denom = (max)(abs(expected), Real(1));
+        Real mollified_relative_error = abs(expected - computed)/denom;
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m ULP distance in " << boost::core::demangle(typeid(Real).name())<< " precision is " << dist
+                  << ", which exceeds " << ulps;
+                  if (ulps > 0)
+                  {
+                      std::cerr << ", error/ulps  = " << dist/static_cast<Real>(ulps) << ".\n";
+                  }
+                  else
+                  {
+                      std::cerr << ".\n";
+                  }
+        std::cerr << std::setprecision(std::numeric_limits<Real>::digits10) << std::showpos
+                  << "  Expected: " << std::defaultfloat << std::fixed << expected << std::hexfloat << " = " << expected << "\n"
+                  << "  Computed: " << std::defaultfloat << std::fixed << computed << std::hexfloat << " = " << computed << "\n"
+                  << std::defaultfloat
+                  << "  Mollified relative error: " << mollified_relative_error << "\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+    return true;
+}
+
+
+int report_errors()
+{
+    if (detail::global_error_count > 0)
+    {
+        std::cerr << "\033[0;31mError count: " << detail::global_error_count;
+        if (detail::total_ulp_distance > 0) {
+            std::cerr << ", total ulp distance = " << detail::total_ulp_distance << "\n\033[0m";
+        }
+        else {
+            // else we overflowed the ULPs counter and all we could print is a bizarre negative number.
+            std::cerr << "\n\033[0m";
+        }
+
+        detail::global_error_count = 0;
+        detail::total_ulp_distance = 0;
+        return 1;
+    }
+    std::cout << "\x1B[32mNo errors detected.\n\033[0m";
+    return 0;
+}
+
+}}}
+
+#define CHECK_MOLLIFIED_CLOSE(X, Y, Z) boost::math::test::check_mollified_close< typename std::remove_reference<decltype((Y))>::type>((X), (Y), (Z), __FILE__, __func__, __LINE__)
+
+#define CHECK_ULP_CLOSE(X, Y, Z) boost::math::test::check_ulp_close((X), (Y), (Z), __FILE__, __func__, __LINE__)
+
+#endif
diff --git a/src/boost/libs/math/test/mpfr_concept_check.cpp b/src/boost/libs/math/test/mpfr_concept_check.cpp
new file mode 100644
index 00000000..9d0ee655
--- /dev/null
+++ b/src/boost/libs/math/test/mpfr_concept_check.cpp
@@ -0,0 +1,37 @@
+
+//  Copyright John Maddock 2007-8.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that mpfr_class meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/math/bindings/mpfr.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(mpfr_class());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<mpfr_class>));
+}
+
+
diff --git a/src/boost/libs/math/test/mpreal_concept_check.cpp b/src/boost/libs/math/test/mpreal_concept_check.cpp
new file mode 100644
index 00000000..c0f11c93
--- /dev/null
+++ b/src/boost/libs/math/test/mpreal_concept_check.cpp
@@ -0,0 +1,33 @@
+
+//  Copyright John Maddock 2007-8.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that mpfr::mpreal meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#include <boost/math/bindings/mpreal.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+#include <boost/static_assert.hpp>
+
+//BOOST_STATIC_ASSERT((boost::is_same<mpfr::mpreal, boost::math::tools::promote_args<mpfr::mpreal>::type >::value));
+
+void foo()
+{
+   instantiate(mpfr::mpreal());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<mpfr::mpreal>));
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_1.cpp b/src/boost/libs/math/test/multiprc_concept_check_1.cpp
new file mode 100644
index 00000000..ea11bd0c
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_1.cpp
@@ -0,0 +1,41 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_1
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_2.cpp b/src/boost/libs/math/test/multiprc_concept_check_2.cpp
new file mode 100644
index 00000000..500e1fc4
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_2.cpp
@@ -0,0 +1,41 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_9
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+void foo()
+{
+   //instantiate(test_type());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_3.cpp b/src/boost/libs/math/test/multiprc_concept_check_3.cpp
new file mode 100644
index 00000000..a7bb3571
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_3.cpp
@@ -0,0 +1,45 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_4
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+#if !(defined(CI_SUPPRESS_KNOWN_ISSUES) && defined(BOOST_GCC))
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+#endif
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_4.cpp b/src/boost/libs/math/test/multiprc_concept_check_4.cpp
new file mode 100644
index 00000000..ac4a2bb0
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_4.cpp
@@ -0,0 +1,48 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_9
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+// We get sporadic internal compiler errors from gcc-7.x when CI testing
+// that don't appear to be reproducable locally.  gcc-6.x and gcc-8.x are fine
+// so for now it's a <shrug> and move on...
+#if ! (defined(BOOST_GCC) && (__GNUC__ == 7))
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+#endif
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/naive_monte_carlo_test.cpp b/src/boost/libs/math/test/naive_monte_carlo_test.cpp
new file mode 100644
index 00000000..4e5cce76
--- /dev/null
+++ b/src/boost/libs/math/test/naive_monte_carlo_test.cpp
@@ -0,0 +1,544 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE naive_monte_carlo_test
+#define BOOST_NAIVE_MONTE_CARLO_DEBUG_FAILURES
+#include <cmath>
+#include <ostream>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+
+using std::abs;
+using std::vector;
+using std::pair;
+using boost::math::constants::pi;
+using boost::math::quadrature::naive_monte_carlo;
+
+
+template<class Real>
+void test_pi_multithreaded()
+{
+    std::cout << "Testing pi is calculated correctly (multithreaded) using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real {
+        Real r = x[0]*x[0]+x[1]*x[1];
+        if (r <= 1) {
+          return 4;
+        }
+        return 0;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, {Real(0), Real(1)}};
+    Real error_goal = 0.0002;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal,
+                                          /*singular =*/ false,/* threads = */ 2, /* seed = */ 18012);
+    auto task = mc.integrate();
+    Real pi_estimated = task.get();
+    if (abs(pi_estimated - pi<Real>())/pi<Real>() > 0.005) {
+        std::cout << "Error in estimation of pi too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate : " << mc.current_error_estimate() << "\n";
+        std::cout << "Error goal           : " << error_goal << "\n";
+        BOOST_CHECK_CLOSE_FRACTION(pi_estimated, pi<Real>(), 0.005);
+    }
+}
+
+template<class Real>
+void test_pi()
+{
+    std::cout << "Testing pi is calculated correctly using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        Real r = x[0]*x[0]+x[1]*x[1];
+        if (r <= 1)
+        {
+            return 4;
+        }
+        return 0;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, {Real(0), Real(1)}};
+    Real error_goal = (Real) 0.0002;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal,
+                                            /*singular =*/ false,/* threads = */ 1, /* seed = */ 128402);
+    auto task = mc.integrate();
+    Real pi_estimated = task.get();
+    if (abs(pi_estimated - pi<Real>())/pi<Real>() > 0.005)
+    {
+        std::cout << "Error in estimation of pi too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate : " << mc.current_error_estimate() << "\n";
+        std::cout << "Error goal           : " << error_goal << "\n";
+        BOOST_CHECK_CLOSE_FRACTION(pi_estimated, pi<Real>(), 0.005);
+    }
+
+}
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing constants are integrated correctly using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const &)->Real
+    {
+      return 1;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, { Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.0001,
+                                            /* singular = */ false, /* threads = */ 1, /* seed = */ 87);
+
+    auto task = mc.integrate();
+    Real one = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(one, 1, 0.001);
+    BOOST_CHECK_SMALL(mc.current_error_estimate(), std::numeric_limits<Real>::epsilon());
+    BOOST_CHECK(mc.calls() > 1000);
+}
+
+
+template<class Real>
+void test_exception_from_integrand()
+{
+    std::cout << "Testing that a reasonable action is performed by the Monte-Carlo integrator when the integrand throws an exception on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        if (x[0] > 0.5 && x[0] < 0.5001)
+        {
+            throw std::domain_error("You have done something wrong.\n");
+        }
+        return (Real) 1;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{ Real(0), Real(1)}, { Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.0001);
+
+    auto task = mc.integrate();
+    bool caught_exception = false;
+    try
+    {
+      Real result = task.get();
+      // Get rid of unused variable warning:
+      std::ostream cnull(0);
+      cnull << result;
+    }
+    catch(std::exception const &)
+    {
+        caught_exception = true;
+    }
+    BOOST_CHECK(caught_exception);
+}
+
+
+template<class Real>
+void test_cancel_and_restart()
+{
+    std::cout << "Testing that cancellation and restarting works on naive Monte-Carlo integration on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact = boost::lexical_cast<Real>("1.3932039296856768591842462603255");
+    BOOST_CONSTEXPR const Real A = 1.0 / (pi<Real>() * pi<Real>() * pi<Real>());
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return A / (1.0 - cos(x[0])*cos(x[1])*cos(x[2]));
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), pi<Real>()}, { Real(0), pi<Real>()}, { Real(0), pi<Real>()}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.05, true, 1, 888889);
+
+    auto task = mc.integrate();
+    mc.cancel();
+    double y = task.get();
+    // Super low tolerance; because it got canceled so fast:
+    BOOST_CHECK_CLOSE_FRACTION(y, exact, 1.0);
+
+    mc.update_target_error((Real) 0.01);
+    task = mc.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, exact, 0.1);
+}
+
+template<class Real>
+void test_finite_singular_boundary()
+{
+    std::cout << "Testing that finite singular boundaries work on naive Monte-Carlo integration on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::pow;
+    using std::log;
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        // The first term is singular at x = 0.
+        // The second at x = 1:
+        return pow(log(1.0/x[0]), 2) + log1p(-x[0]);
+    };
+    vector<pair<Real, Real>> bounds{{Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.01, true, 1, 1922);
+
+    auto task = mc.integrate();
+
+    double y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1.0, 0.1);
+}
+
+template<class Real>
+void test_multithreaded_variance()
+{
+    std::cout << "Testing that variance computed by naive Monte-Carlo integration converges to integral formula on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact_variance = (Real) 1/(Real) 12;
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return x[0];
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 2, 12341);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 0.5, 0.01);
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.05);
+}
+
+template<class Real>
+void test_variance()
+{
+    std::cout << "Testing that variance computed by naive Monte-Carlo integration converges to integral formula on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact_variance = (Real) 1/(Real) 12;
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return x[0];
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 1, 12341);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 0.5, 0.01);
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.05);
+}
+
+template<class Real, uint64_t dimension>
+void test_product()
+{
+    std::cout << "Testing that product functions are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 1, 13999);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    using std::pow;
+    Real exact_variance = pow(4.0/3.0, dimension) - 1;
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.1);
+}
+
+template<class Real, uint64_t dimension>
+void test_alternative_rng_1()
+{
+    std::cout << "Testing that alternative RNGs work correctly using naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    std::cout << "Testing std::mt19937" << std::endl;
+
+    naive_monte_carlo<Real, decltype(g), std::mt19937> mc1(g, bounds, (Real) 0.001, false, 1, 1882);
+
+    auto task = mc1.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    using std::pow;
+    Real exact_variance = pow(4.0/3.0, dimension) - 1;
+    BOOST_CHECK_CLOSE_FRACTION(mc1.variance(), exact_variance, 0.05);
+
+    std::cout << "Testing std::knuth_b" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::knuth_b> mc2(g, bounds, (Real) 0.001, false, 1, 1883);
+    task = mc2.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::ranlux48" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::ranlux48> mc3(g, bounds, (Real) 0.001, false, 1, 1884);
+    task = mc3.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+}
+
+template<class Real, uint64_t dimension>
+void test_alternative_rng_2()
+{
+    std::cout << "Testing that alternative RNGs work correctly using naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+
+    std::cout << "Testing std::default_random_engine" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::default_random_engine> mc4(g, bounds, (Real) 0.001, false, 1, 1884);
+    auto task = mc4.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::minstd_rand" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::minstd_rand> mc5(g, bounds, (Real) 0.001, false, 1, 1887);
+    task = mc5.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::minstd_rand0" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::minstd_rand0> mc6(g, bounds, (Real) 0.001, false, 1, 1889);
+    task = mc6.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+}
+
+template<class Real>
+void test_upper_bound_infinite()
+{
+    std::cout << "Testing that infinite upper bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, std::numeric_limits<Real>::infinity());
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 8765);
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>(), 0.01);
+}
+
+template<class Real>
+void test_lower_bound_infinite()
+{
+    std::cout << "Testing that infinite lower bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), 0);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1208);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>(), 0.01);
+}
+
+template<class Real>
+void test_lower_bound_infinite2()
+{
+    std::cout << "Testing that infinite lower bounds (2) are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        // If x[0] = inf, this should blow up:
+        return (x[0]*x[0])/(x[0]*x[0]*x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), 0);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1208);
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>()/boost::math::constants::root_two<Real>(), 0.01);
+}
+
+template<class Real>
+void test_double_infinite()
+{
+    std::cout << "Testing that double infinite bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), std::numeric_limits<Real>::infinity());
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1776);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::pi<Real>(), 0.01);
+}
+
+template<class Real, uint64_t dimension>
+void test_radovic()
+{
+    // See: Generalized Halton Sequences in 2008: A Comparative Study, function g1:
+    std::cout << "Testing that the Radovic function is integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        using std::abs;
+        Real alpha = (Real)0.01;
+        Real z = 1;
+        for (uint64_t i = 0; i < dimension; ++i)
+        {
+            z *= (abs(4*x[i]-2) + alpha)/(1+alpha);
+        }
+        return z;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    Real error_goal = (Real) 0.001;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal, false, 1, 1982);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    if (abs(y - 1) > 0.01)
+    {
+        std::cout << "Error in estimation of Radovic integral too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate: " << mc.current_error_estimate() << std::endl;
+        std::cout << "Error goal          : " << error_goal << std::endl;
+        std::cout << "Variance estimate   : " << mc.variance() << std::endl;
+        BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(naive_monte_carlo_test)
+{
+   std::cout << "Default hardware concurrency = " << std::thread::hardware_concurrency() << std::endl;
+#if !defined(TEST) || TEST == 1
+    test_finite_singular_boundary<double>();
+    test_finite_singular_boundary<float>();
+#endif
+#if !defined(TEST) || TEST == 2
+    test_pi<float>();
+    test_pi<double>();
+#endif
+#if !defined(TEST) || TEST == 3
+    test_pi_multithreaded<float>();
+    test_constant<float>();
+#endif
+    //test_pi<long double>();
+#if !defined(TEST) || TEST == 4
+    test_constant<double>();
+    //test_constant<long double>();
+    test_cancel_and_restart<float>();
+#endif
+#if !defined(TEST) || TEST == 5
+    test_exception_from_integrand<float>();
+    test_variance<float>();
+#endif
+#if !defined(TEST) || TEST == 6
+    test_variance<double>();
+    test_multithreaded_variance<double>();
+#endif
+#if !defined(TEST) || TEST == 7
+    test_product<float, 1>();
+    test_product<float, 2>();
+#endif
+#if !defined(TEST) || TEST == 8
+    test_product<float, 3>();
+    test_product<float, 4>();
+    test_product<float, 5>();
+#endif
+#if !defined(TEST) || TEST == 9
+    test_product<float, 6>();
+    test_product<double, 1>();
+#endif
+#if !defined(TEST) || TEST == 10
+    test_product<double, 2>();
+#endif
+#if !defined(TEST) || TEST == 11
+    test_product<double, 3>();
+    test_product<double, 4>();
+#endif
+#if !defined(TEST) || TEST == 12
+    test_upper_bound_infinite<float>();
+    test_upper_bound_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 13
+    test_lower_bound_infinite<float>();
+    test_lower_bound_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 14
+    test_lower_bound_infinite2<float>();
+#endif
+#if !defined(TEST) || TEST == 15
+    test_double_infinite<float>();
+    test_double_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 16
+    test_radovic<float, 1>();
+    test_radovic<float, 2>();
+#endif
+#if !defined(TEST) || TEST == 17
+    test_radovic<float, 3>();
+    test_radovic<double, 1>();
+#endif
+#if !defined(TEST) || TEST == 18
+    test_radovic<double, 2>();
+    test_radovic<double, 3>();
+#endif
+#if !defined(TEST) || TEST == 19
+    test_radovic<double, 4>();
+    test_radovic<double, 5>();
+#endif
+#if !defined(TEST) || TEST == 20
+    test_alternative_rng_1<float, 3>();
+#endif
+#if !defined(TEST) || TEST == 21
+    test_alternative_rng_1<double, 3>();
+#endif
+#if !defined(TEST) || TEST == 22
+    test_alternative_rng_2<float, 3>();
+#endif
+#if !defined(TEST) || TEST == 23
+    test_alternative_rng_2<double, 3>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/ncbeta.ipp b/src/boost/libs/math/test/ncbeta.ipp
new file mode 100644
index 00000000..64a75d27
--- /dev/null
+++ b/src/boost/libs/math/test/ncbeta.ipp
@@ -0,0 +1,3010 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 3000> ncbeta = {{
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(5.940588760375976562500000000000000000000e1), SC_(9.976066350936889648437500000000000000000e-1), SC_(2.759834870217354705236013708534509068967e-1), SC_(7.240165129782645294763986291465490931033e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(1.451677856445312500000000000000000000000e2), SC_(9.990068674087524414062500000000000000000e-1), SC_(2.757975665000284929998400439182434398680e-1), SC_(7.242024334999715070001599560817565601320e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(1.929777069091796875000000000000000000000e2), SC_(9.992512464523315429687500000000000000000e-1), SC_(2.757802819095769722518059796277858159202e-1), SC_(7.242197180904230277481940203722141840798e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(6.038262176513671875000000000000000000000e1), SC_(9.961022734642028808593750000000000000000e-1), SC_(4.949484084085013882284839924844591052030e-1), SC_(5.050515915914986117715160075155408947970e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(1.481294555664062500000000000000000000000e2), SC_(9.983823299407958984375000000000000000000e-1), SC_(4.946201811284367289305268285202655846240e-1), SC_(5.053798188715632710694731714797344153760e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(1.935389862060546875000000000000000000000e2), SC_(9.987584948539733886718750000000000000000e-1), SC_(4.945965085725495633413346642780624277086e-1), SC_(5.054034914274504366586653357219375722914e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(6.163340759277343750000000000000000000000e1), SC_(9.943350553512573242187500000000000000000e-1), SC_(7.067242511174509034733895807356551147428e-1), SC_(2.932757488825490965266104192643448852572e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(1.486264953613281250000000000000000000000e2), SC_(9.975933432579040527343750000000000000000e-1), SC_(7.063204046711177968479175758665909815947e-1), SC_(2.936795953288822031520824241334090184053e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(1.937735595703125000000000000000000000000e2), SC_(9.981468915939331054687500000000000000000e-1), SC_(7.062805762166387906359787891104213355210e-1), SC_(2.937194237833612093640212108895786644790e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(7.225879669189453125000000000000000000000e1), SC_(9.942231774330139160156250000000000000000e-1), SC_(8.372920335940658618578320877705617571936e-1), SC_(1.627079664059341381421679122294382428064e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(1.515480346679687500000000000000000000000e2), SC_(9.971802234649658203125000000000000000000e-1), SC_(8.370187919390128563087545041366727719913e-1), SC_(1.629812080609871436912454958633272280087e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(1.941185607910156250000000000000000000000e2), SC_(9.977884292602539062500000000000000000000e-1), SC_(8.369846256186989556701034949935290540605e-1), SC_(1.630153743813010443298965050064709459395e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.308874487876892089843750000000000000000), SC_(9.566968083381652832031250000000000000000e-1), SC_(5.778348073363304138183593750000000000000e-2), SC_(1.409704128923593153631527182055535438009e-2), SC_(9.859029587107640684636847281794446456199e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.308874487876892089843750000000000000000), SC_(7.844540405273437500000000000000000000000e1), SC_(9.681322425603866577148437500000000000000e-2), SC_(2.569096227285625192995992565780836758662e-17), SC_(9.999999999999999743090377271437480700401e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.308874487876892089843750000000000000000), SC_(1.584414672851562500000000000000000000000e2), SC_(9.838468581438064575195312500000000000000e-2), SC_(7.148747906745571900269746100091585733876e-33), SC_(9.999999999999999999999999999999928512521e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.308874487876892089843750000000000000000), SC_(1.962219390869140625000000000000000000000e2), SC_(9.868995845317840576171875000000000000000e-2), SC_(3.133324157161160812982715199693443151905e-40), SC_(9.999999999999999999999999999999999999997e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.439761996269226074218750000000000000000), SC_(7.142335891723632812500000000000000000000), SC_(1.895702630281448364257812500000000000000e-1), SC_(8.246187378326890920818812693938620222737e-3), SC_(9.917538126216731090791811873060613797773e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.439761996269226074218750000000000000000), SC_(7.974770355224609375000000000000000000000e1), SC_(2.414003908634185791015625000000000000000e-1), SC_(2.743306172427076308949349814705500897953e-14), SC_(9.999999999999725669382757292369105065019e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.439761996269226074218750000000000000000), SC_(1.595857238769531250000000000000000000000e2), SC_(2.455961406230926513671875000000000000000e-1), SC_(3.615587311674064774434229582160414432976e-27), SC_(9.999999999999999999999999963844126883259e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.439761996269226074218750000000000000000), SC_(1.985762634277343750000000000000000000000e2), SC_(2.464439719915390014648437500000000000000e-1), SC_(1.769432346388276500700335757818980807043e-33), SC_(9.999999999999999999999999999999982305677e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.452850818634033203125000000000000000000), SC_(1.950807952880859375000000000000000000000e1), SC_(4.391348361968994140625000000000000000000e-1), SC_(2.673764091042295518866919574008896029552e-3), SC_(9.973262359089577044811330804259911039704e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.452850818634033203125000000000000000000), SC_(8.435225677490234375000000000000000000000e1), SC_(4.835526645183563232421875000000000000000e-1), SC_(4.197372846541376004107385263233562496292e-10), SC_(9.999999995802627153458623995892614736766e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.452850818634033203125000000000000000000), SC_(1.596211700439453125000000000000000000000e2), SC_(4.911155700683593750000000000000000000000e-1), SC_(3.695059050069457866849050715946269539742e-18), SC_(9.999999999999999963049409499305421331509e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.452850818634033203125000000000000000000), SC_(1.992922668457031250000000000000000000000e2), SC_(4.928494989871978759765625000000000000000e-1), SC_(2.004823756718951621438737650562766380258e-22), SC_(9.999999999999999999997995176243281048379e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000), SC_(2.197235107421875000000000000000000000000e1), SC_(6.670339703559875488281250000000000000000e-1), SC_(2.938827902133597908162529714537893342335e-2), SC_(9.706117209786640209183747028546210665767e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000), SC_(8.441753387451171875000000000000000000000e1), SC_(7.253233790397644042968750000000000000000e-1), SC_(1.828399814138725196172294345445724389776e-5), SC_(9.999817160018586127480382770565455427561e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000), SC_(1.600560913085937500000000000000000000000e2), SC_(7.366956472396850585937500000000000000000e-1), SC_(1.838909377742473059089666873575275698077e-9), SC_(9.999999981610906222575269409103331264247e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454450488090515136718750000000000000000), SC_(2.249290275573730468750000000000000000000e1), SC_(8.023343086242675781250000000000000000000e-1), SC_(1.444816643582166349744437266238358383054e-1), SC_(8.555183356417833650255562733761641616946e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454450488090515136718750000000000000000), SC_(9.495173645019531250000000000000000000000e1), SC_(8.735338449478149414062500000000000000000e-1), SC_(5.297391880242822813440890445530785806678e-3), SC_(9.947026081197571771865591095544692141933e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454450488090515136718750000000000000000), SC_(1.629447326660156250000000000000000000000e2), SC_(8.843094706535339355468750000000000000000e-1), SC_(2.109987510023566218907025733718046851867e-4), SC_(9.997890012489976433781092974266281953148e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.455759406089782714843750000000000000000), SC_(2.539736366271972656250000000000000000000e1), SC_(8.928544521331787109375000000000000000000e-1), SC_(3.547407387217092519571701060719919695556e-1), SC_(6.452592612782907480428298939280080304444e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.455759406089782714843750000000000000000), SC_(9.707512664794921875000000000000000000000e1), SC_(9.614732861518859863281250000000000000000e-1), SC_(2.611091095508861765371680541840956899457e-1), SC_(7.388908904491138234628319458159043100543e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.455759406089782714843750000000000000000), SC_(1.670017089843750000000000000000000000000e2), SC_(9.731349945068359375000000000000000000000e-1), SC_(1.940330038798788046724413303549101135332e-1), SC_(8.059669961201211953275586696450898864668e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.468848109245300292968750000000000000000), SC_(2.709540176391601562500000000000000000000e1), SC_(9.054616093635559082031250000000000000000e-1), SC_(3.905836257290503311421287149477297051216e-1), SC_(6.094163742709496688578712850522702948784e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.468848109245300292968750000000000000000), SC_(1.007325439453125000000000000000000000000e2), SC_(9.709756374359130859375000000000000000000e-1), SC_(3.753844614900924354145268955128904198463e-1), SC_(6.246155385099075645854731044871095801537e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.468848109245300292968750000000000000000), SC_(1.698258666992187500000000000000000000000e2), SC_(9.821102619171142578125000000000000000000e-1), SC_(3.648451596781998922228271535859833907049e-1), SC_(6.351548403218001077771728464140166092951e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.599735617637634277343750000000000000000), SC_(2.837726783752441406250000000000000000000e1), SC_(9.027946591377258300781250000000000000000e-1), SC_(3.994481344166706347071818471461165810451e-1), SC_(6.005518655833293652928181528538834189549e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.599735617637634277343750000000000000000), SC_(1.093762969970703125000000000000000000000e2), SC_(9.718407988548278808593750000000000000000e-1), SC_(3.954357512869085630066564425659524044339e-1), SC_(6.045642487130914369933435574340475955661e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.599735617637634277343750000000000000000), SC_(1.756861267089843750000000000000000000000e2), SC_(9.822134971618652343750000000000000000000e-1), SC_(3.951860745186655290524861501883898882522e-1), SC_(6.048139254813344709475138498116101117478e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.745166182518005371093750000000000000000), SC_(3.152261734008789062500000000000000000000e1), SC_(9.039335846900939941406250000000000000000e-1), SC_(4.034567451009304048585061955097242530617e-1), SC_(5.965432548990695951414938044902757469383e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.745166182518005371093750000000000000000), SC_(1.094441146850585937500000000000000000000e2), SC_(9.693817496299743652343750000000000000000e-1), SC_(3.999349356267901779097748250899115060062e-1), SC_(6.000650643732098220902251749100884939938e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.745166182518005371093750000000000000000), SC_(1.811583862304687500000000000000000000000e2), SC_(9.812008142471313476562500000000000000000e-1), SC_(3.996591569909480845917200256671608991653e-1), SC_(6.003408430090519154082799743328391008347e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.890596508979797363281250000000000000000), SC_(3.423733520507812500000000000000000000000e1), SC_(9.039308428764343261718750000000000000000e-1), SC_(4.075414522865678416055270738540772311928e-1), SC_(5.924585477134321583944729261459227688072e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.890596508979797363281250000000000000000), SC_(1.264718551635742187500000000000000000000e2), SC_(9.712282419204711914062500000000000000000e-1), SC_(4.042366483257852646737355474134075723046e-1), SC_(5.957633516742147353262644525865924276954e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.890596508979797363281250000000000000000), SC_(1.826751708984375000000000000000000000000e2), SC_(9.798489809036254882812500000000000000000e-1), SC_(4.040529458975031201558234570112972505675e-1), SC_(5.959470541024968798441765429887027494325e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.181457519531250000000000000000000000000), SC_(3.477303314208984375000000000000000000000e1), SC_(8.932165503501892089843750000000000000000e-1), SC_(4.196040744142951370235014827671730626531e-1), SC_(5.803959255857048629764985172328269373469e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.181457519531250000000000000000000000000), SC_(1.279526672363281250000000000000000000000e2), SC_(9.676080346107482910156250000000000000000e-1), SC_(4.160241471932662346234005638447945943191e-1), SC_(5.839758528067337653765994361552054056809e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.181457519531250000000000000000000000000), SC_(1.831471099853515625000000000000000000000e2), SC_(9.770854115486145019531250000000000000000e-1), SC_(4.158245920573030252337620932502862854216e-1), SC_(5.841754079426969747662379067497137145784e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.908610105514526367187500000000000000000), SC_(3.767639541625976562500000000000000000000e1), SC_(8.820433020591735839843750000000000000000e-1), SC_(4.895484702256356762390308845835055338300e-1), SC_(5.104515297743643237609691154164944661700e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.908610105514526367187500000000000000000), SC_(1.310955810546875000000000000000000000000e2), SC_(9.616703391075134277343750000000000000000e-1), SC_(4.852896389054532990013477094741957837547e-1), SC_(5.147103610945467009986522905258042162453e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(2.908610105514526367187500000000000000000), SC_(1.867986450195312500000000000000000000000e2), SC_(9.726884961128234863281250000000000000000e-1), SC_(4.850256268066020087353144387623113929601e-1), SC_(5.149743731933979912646855612376886070399e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(4.362915039062500000000000000000000000000), SC_(4.238486480712890625000000000000000000000e1), SC_(8.614798784255981445312500000000000000000e-1), SC_(5.884548078925982877372322454535815427048e-1), SC_(4.115451921074017122627677545464184572952e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(4.362915039062500000000000000000000000000), SC_(1.311481323242187500000000000000000000000e2), SC_(9.484174847602844238281250000000000000000e-1), SC_(5.829003968003181859827925473746335160193e-1), SC_(4.170996031996818140172074526253664839807e-1) }}, 
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+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(5.940588760375976562500000000000000000000e1), SC_(4.393039345741271972656250000000000000000e-1), SC_(6.000880582476749937027945569110420971437e-1), SC_(3.999119417523250062972054430889579028563e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(1.451677856445312500000000000000000000000e2), SC_(4.813641905784606933593750000000000000000e-1), SC_(5.915511925062548988647870025827413811056e-1), SC_(4.084488074937451011352129974172586188944e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(1.929777069091796875000000000000000000000e2), SC_(5.021858811378479003906250000000000000000e-1), SC_(5.880647936741149501087277723487364132878e-1), SC_(4.119352063258850498912722276512635867122e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(6.038262176513671875000000000000000000000e1), SC_(4.230284094810485839843750000000000000000e-1), SC_(9.977851090407225359839297939595457214636e-1), SC_(2.214890959277464016070206040454278536350e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(1.481294555664062500000000000000000000000e2), SC_(4.606534242630004882812500000000000000000e-1), SC_(9.957282424377606356346329644628312528585e-1), SC_(4.271757562239364365367035537168747141534e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(1.935389862060546875000000000000000000000e2), SC_(4.782629907131195068359375000000000000000e-1), SC_(9.945960851426927928055493135079582151791e-1), SC_(5.403914857307207194450686492041784820904e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(6.163340759277343750000000000000000000000e1), SC_(3.982345759868621826171875000000000000000e-1), SC_(9.999999999983652719310843670759144107488e-1), SC_(1.634728068915632924085589251240883044304e-12) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(1.486264953613281250000000000000000000000e2), SC_(4.282388091087341308593750000000000000000e-1), SC_(9.999999999441405803165315291403807033859e-1), SC_(5.585941968346847085961929661413163659822e-11) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(1.937735595703125000000000000000000000000e2), SC_(4.426617622375488281250000000000000000000e-1), SC_(9.999999997983110564053295602949830922408e-1), SC_(2.016889435946704397050169077592286063336e-10) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(7.225879669189453125000000000000000000000e1), SC_(4.061267971992492675781250000000000000000e-1), SC_(9.999999999999999999999999999997290246639e-1), SC_(2.709753361367076002320691695420448945649e-31) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(1.515480346679687500000000000000000000000e2), SC_(4.280660748481750488281250000000000000000e-1), SC_(9.999999999999999999999999991303421392948e-1), SC_(8.696578607051932204338673773133285372742e-28) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(4.391900300979614257812500000000000000000e-1), SC_(9.999999999999999999999999789782532523897e-1), SC_(2.102174674761034080045110832943420015762e-26) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(9.566968083381652832031250000000000000000e-1), SC_(4.446664154529571533203125000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(6.723822936759331715719218974775798182259e-93) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(7.844540405273437500000000000000000000000e1), SC_(4.620748460292816162109375000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.547617018541288535048352060726128288630e-80) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(1.584414672851562500000000000000000000000e2), SC_(4.789382815361022949218750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.016791451093890693491633506946470794739e-72) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(1.962219390869140625000000000000000000000e2), SC_(4.865405857563018798828125000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.362436549196397892011134548818387099631e-69) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/ncbeta_big.ipp b/src/boost/libs/math/test/ncbeta_big.ipp
new file mode 100644
index 00000000..043d3032
--- /dev/null
+++ b/src/boost/libs/math/test/ncbeta_big.ipp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 72> ncbeta_big = {{
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.090561676025390625000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(6.248598918318748474121093750000000000000e-2), SC_(5.822794103663371475941613559141512048716e-200), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.299617919921875000000000000000000000000e2), SC_(2.906821289062500000000000000000000000000e2), SC_(1.553418934345245361328125000000000000000e-1), SC_(2.376427035888773394585864365564861664654e-112), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.320523529052734375000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(3.780863285064697265625000000000000000000e-1), SC_(9.534309971409020993977308030456117404144e-89), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(6.258654594421386718750000000000000000000e-1), SC_(8.273529404980685686135545983154559305766e-53), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.323078765869140625000000000000000000000e2), SC_(2.308069091796875000000000000000000000000e3), SC_(7.707736492156982421875000000000000000000e-1), SC_(6.642746074306700324296888792472255191709e-16), SC_(9.999999999999993357253925693299675703111e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.325169372558593750000000000000000000000e2), SC_(8.064482421875000000000000000000000000000e3), SC_(9.388024210929870605468750000000000000000e-1), SC_(3.784012698595881643945309133853831952949e-3), SC_(9.962159873014041183560546908661461680471e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.346074829101562500000000000000000000000e2), SC_(1.567437500000000000000000000000000000000e4), SC_(9.707729816436767578125000000000000000000e-1), SC_(2.935931059732195123761306546780042425559e-1), SC_(7.064068940267804876238693453219957574441e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.555131072998046875000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.756411910057067871093750000000000000000e-1), SC_(4.916958930557002818402814932631962599797e-1), SC_(5.083041069442997181597185067368037400203e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.787415771484375000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.897736907005310058593750000000000000000e-1), SC_(4.926920140457373120750763227119217556742e-1), SC_(5.073079859542626879249236772880782443258e-1) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(2.906821250915527343750000000000000000000e1), SC_(1.567437500000000000000000000000000000000e4), SC_(9.982179403305053710937500000000000000000e-1), SC_(9.994919920744164088096546647236384815783e-1), SC_(5.080079255835911903453352763615184216904e-4) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(7.267053222656250000000000000000000000000e1), SC_(2.000542187500000000000000000000000000000e4), SC_(9.976629614830017089843750000000000000000e-1), SC_(9.999999999999983875164826739274160375349e-1), SC_(1.612483517326072583962465078546376039408e-15) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(1.453410644531250000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.986631274223327636718750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(3.010804490077860063798231369313535930122e-42) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(3.778867492675781250000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(5.188288092613220214843750000000000000000e-1), SC_(5.089321557957671134199777152425169214951e-1), SC_(4.910678442042328865800222847574830785049e-1) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(4.360231933593750000000000000000000000000e2), SC_(2.906821289062500000000000000000000000000e2), SC_(5.048558712005615234375000000000000000000e-1), SC_(6.058697905723221366664491586322735988918e-1), SC_(3.941302094276778633335508413677264011082e-1) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(5.813642578125000000000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(6.112647652626037597656250000000000000000e-1), SC_(9.955089747240769047271157763291403354685e-1), SC_(4.491025275923095272884223670859664531545e-3) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(8.720463867187500000000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(6.542472243309020996093750000000000000000e-1), SC_(9.999999972226024110911179121134729543583e-1), SC_(2.777397588908882087886527045641662997938e-9) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(1.162728515625000000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(6.569214463233947753906250000000000000000e-1), SC_(9.999999999999999999995533478732255838241e-1), SC_(4.466521267744161758750286812848432918534e-22) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(1.453410644531250000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e3), SC_(8.322365880012512207031250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.724098253290586949046235121920786188871e-50) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(7.318240966796875000000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(9.197415113449096679687500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.098029526746715772059557152803443778923e-305) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(8.781889038085937500000000000000000000000e2), SC_(2.906821289062500000000000000000000000000e2), SC_(5.607348680496215820312500000000000000000e-2), SC_(4.137966307189253467290003067675414259896e-745), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.660078735351562500000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(1.505941897630691528320312500000000000000e-1), SC_(2.312581255996761321216691130907918725012e-439), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.747897338867187500000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(3.313369452953338623046875000000000000000e-1), SC_(1.822938095440314319524488179659476739600e-219), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(2.308069091796875000000000000000000000000e3), SC_(5.143225789070129394531250000000000000000e-1), SC_(1.421828425120214003942552400693765508326e-67), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.758630981445312500000000000000000000000e2), SC_(8.064482421875000000000000000000000000000e3), SC_(7.532094120979309082031250000000000000000e-1), SC_(1.278959916011845843611062944857639073496e-47), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.767413330078125000000000000000000000000e2), SC_(1.567437500000000000000000000000000000000e4), SC_(8.912172317504882812500000000000000000000e-1), SC_(2.728322119200344826952604570486340362225e-3), SC_(9.972716778807996551730473954295136596378e-1) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.855231323242187500000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.167025685310363769531250000000000000000e-1), SC_(3.589860146897613099118333082236256051011e-1), SC_(6.410139853102386900881666917763743948989e-1) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(1.073342041015625000000000000000000000000e3), SC_(5.348914843750000000000000000000000000000e4), SC_(9.627218246459960937500000000000000000000e-1), SC_(4.959666475640454900645452407891567289414e-1), SC_(5.040333524359545099354547592108432710586e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(1.879048919677734375000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.922152757644653320312500000000000000000e-1), SC_(9.999999999999999906525997974104688623475e-1), SC_(9.347400202589531137652505012008628236569e-18) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(4.697622070312500000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.946175813674926757812500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.812197155304730289100502335815782533179e-90) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.254858642578125000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(4.695008695125579833984375000000000000000e-1), SC_(5.029136707270802745099779711341809125434e-1), SC_(4.970863292729197254900220288658190874566e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.442763427734375000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(4.537145793437957763671875000000000000000e-1), SC_(5.289819531087712125353700747589292943748e-1), SC_(4.710180468912287874646299252410707056252e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.818573242187500000000000000000000000000e3), SC_(9.757655029296875000000000000000000000000e2), SC_(4.618234336376190185546875000000000000000e-1), SC_(7.697208318278162838782020353802049561352e-1), SC_(2.302791681721837161217979646197950438648e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(3.758097656250000000000000000000000000000e3), SC_(1.879048828125000000000000000000000000000e3), SC_(4.805082082748413085937500000000000000000e-1), SC_(9.999999999999968174474902410920896815627e-1), SC_(3.182552509758907910318437261362448122236e-15) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(5.637146484375000000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(4.581811428070068359375000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.102182053081964421449952586342158942845e-77) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(1.154034545898437500000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.193707704544067382812500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.009973732211367743382389112086731774944e-373) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(1.731051757812500000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(9.172621965408325195312500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.026038931560756120296233644557392281345e-728) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.077262207031250000000000000000000000000e3), SC_(9.757655029296875000000000000000000000000e2), SC_(5.737299844622611999511718750000000000000e-2), SC_(1.179438847006603499209184718675810235937e-1792), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.284988525390625000000000000000000000000e3), SC_(1.879048828125000000000000000000000000000e3), SC_(1.467453837394714355468750000000000000000e-1), SC_(2.170603560826971624886942881463485578948e-993), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.305760986328125000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(3.001131117343902587890625000000000000000e-1), SC_(8.489166704175388964892782203557684023722e-396), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e3), SC_(5.498300790786743164062500000000000000000e-1), SC_(1.254458591955832602131382517483326851816e-213), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.308300048828125000000000000000000000000e3), SC_(1.567437500000000000000000000000000000000e4), SC_(7.331741452217102050781250000000000000000e-1), SC_(1.826182635021394060381579011272045655768e-85), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.310377197265625000000000000000000000000e3), SC_(2.000542187500000000000000000000000000000e4), SC_(8.335568308830261230468750000000000000000e-1), SC_(4.781961640340889428050915411134222276392e-3), SC_(9.952180383596591105719490845888657777236e-1) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.331149658203125000000000000000000000000e3), SC_(5.348914843750000000000000000000000000000e4), SC_(9.247934818267822265625000000000000000000e-1), SC_(2.711435846327258761421995177897213919361e-1), SC_(7.288564153672741238578004822102786080639e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.886781573295593261718750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(3.572832953557009007878032183153866412857e-70) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(8.870930664062500000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(4.797580540180206298828125000000000000000e-1), SC_(5.000745572327812933893269721471576983968e-1), SC_(4.999254427672187066106730278528423016032e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(9.677378906250000000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(4.590313434600830078125000000000000000000e-1), SC_(5.059188813196472021413131958200680825291e-1), SC_(4.940811186803527978586868041799319174709e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.048382714843750000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(4.498181641101837158203125000000000000000e-1), SC_(5.598900959283613304893371453709487210277e-1), SC_(4.401099040716386695106628546290512789723e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.209672363281250000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(4.323903024196624755859375000000000000000e-1), SC_(9.472136011791436975079346659925488874113e-1), SC_(5.278639882085630249206533400745111258868e-2) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.612896484375000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(4.215314388275146484375000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(8.780570835430068597846932288933646184057e-74) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(3.918593750000000000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.337261915206909179687500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(6.669886156648541481539239127712633559563e-822) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(7.837187500000000000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(9.171786308288574218750000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.537328853966596437961665214743068422061e-2547) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.175578125000000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(9.157835841178894042968750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(2.578246188050503138375491350089200688257e-4975)) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.410693750000000000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(5.408018454909324645996093750000000000000e-2), BOOST_MATH_SMALL_CONSTANT(SC_(8.129170124843363135273982574840676966496e-11622)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.551763183593750000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(1.300653219223022460937500000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(9.360587609330494354572770355536264481673e-5810)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.565870117187500000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(2.786142826080322265625000000000000000000e-1), SC_(1.261773771265826023398263693589020602527e-2297), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(4.499984383583068847656250000000000000000e-1), SC_(1.100181469524262372222569926548005371912e-657), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.567594238281250000000000000000000000000e4), SC_(2.000542187500000000000000000000000000000e4), SC_(5.588295459747314453125000000000000000000e-1), SC_(2.560684482889387137691472255137878939473e-124), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.569004980468750000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(7.226873636245727539062500000000000000000e-1), SC_(1.364294949865959215854400373254240620072e-4), SC_(9.998635705050134040784145599626745759380e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.020547656250000000000000000000000000000e4), SC_(2.322846374511718750000000000000000000000e2), SC_(4.984606206417083740234375000000000000000e-1), SC_(4.207010290007294561360169037428775918686e-1), SC_(5.792989709992705438639830962571224081314e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.200596484375000000000000000000000000000e4), SC_(2.906821289062500000000000000000000000000e2), SC_(4.779963195323944091796875000000000000000e-1), SC_(5.000532054426537105845574884793934312647e-1), SC_(4.999467945573462894154425115206065687353e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.400650781250000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(4.605794548988342285156250000000000000000e-1), SC_(5.091425099452637143386757843925728266261e-1), SC_(4.908574900547362856613242156074271733739e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.600704687500000000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(4.466459453105926513671875000000000000000e-1), SC_(5.942780802025344552207236227109420873466e-1), SC_(4.057219197974655447792763772890579126534e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(3.000813281250000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(4.193387329578399658203125000000000000000e-1), SC_(9.956380547431874873496935745113045362901e-1), SC_(4.361945256812512650306425488695463709880e-3) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(4.001084375000000000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(4.320940375328063964843750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.312959578619525129783342844601108813625e-171) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.348915039062500000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.546350240707397460937500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.237637941712600702639280257134814673880e-479) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(1.337228710937500000000000000000000000000e4), SC_(2.906821289062500000000000000000000000000e2), SC_(9.334779381752014160156250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(7.697670330139327953085651655652971629062e-2801) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(2.674457421875000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(9.171703457832336425781250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(4.351032154164457022358781300987678516698e-8686)) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(4.814023046875000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(5.316342040896415710449218750000000000000e-2), BOOST_MATH_SMALL_CONSTANT(SC_(7.149393115066689998913230513163359568986e-39230)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.295425781250000000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(1.301675438880920410156250000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(8.209475494274670414553430270177931678225e-19833)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.343566015625000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(2.671890854835510253906250000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(9.106575025886434917832830930013038223616e-7308)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(2.000542187500000000000000000000000000000e4), SC_(4.070649147033691406250000000000000000000e-1), SC_(8.116577402645222335506750742438163224103e-1745), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.349450000000000000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(5.399778485298156738281250000000000000000e-1), SC_(4.303272623463637069485056374998013097226e-372), SC_(1.000000000000000000000000000000000000000) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nccs.ipp b/src/boost/libs/math/test/nccs.ipp
new file mode 100644
index 00000000..f91b347a
--- /dev/null
+++ b/src/boost/libs/math/test/nccs.ipp
@@ -0,0 +1,3210 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 3200> nccs = {{
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.566968083381652832031250000000000000000e-1), SC_(2.908610105514526367187500000000000000000e-1), SC_(9.191713210042786241188236234883914114395e-2), SC_(9.080828678995721375881176376511608588560e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.366568565368652343750000000000000000000), SC_(2.079620361328125000000000000000000000000), SC_(8.979177306921986952474050864260945461537e-2), SC_(9.102082269307801304752594913573905453846e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.889215946197509765625000000000000000000), SC_(4.420564651489257812500000000000000000000), SC_(2.322522640917811378036214577533389504074e-1), SC_(7.677477359082188621963785422466610495926e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(7.142335891723632812500000000000000000000), SC_(6.820687294006347656250000000000000000000), SC_(4.029439026943616888034033394094687890419e-1), SC_(5.970560973056383111965966605905312109581e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.234277725219726562500000000000000000000), SC_(1.006757259368896484375000000000000000000e1), SC_(4.912552959077002677485496881218430896094e-1), SC_(5.087447040922997322514503118781569103906e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.942635536193847656250000000000000000000e1), SC_(2.116448593139648437500000000000000000000e1), SC_(5.344158171377402637365393278378581649496e-1), SC_(4.655841828622597362634606721621418350504e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.950807952880859375000000000000000000000e1), SC_(2.143853378295898437500000000000000000000e1), SC_(5.427110898702781884985658638646815339571e-1), SC_(4.572889101297218115014341361353184660429e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.197235107421875000000000000000000000000e1), SC_(2.392426490783691406250000000000000000000e1), SC_(5.412751121814981951824612055009695852890e-1), SC_(4.587248878185018048175387944990304147110e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.249290275573730468750000000000000000000e1), SC_(2.444726181030273437500000000000000000000e1), SC_(5.409219532207546156929103529206929272982e-1), SC_(4.590780467792453843070896470793070727018e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.503655242919921875000000000000000000000e1), SC_(2.701545524597167968750000000000000000000e1), SC_(5.398488681606659449009007854898639088100e-1), SC_(4.601511318393340550990992145101360911900e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.539736366271972656250000000000000000000e1), SC_(2.762277030944824218750000000000000000000e1), SC_(5.489826827593184212047987802360330000285e-1), SC_(4.510173172406815787952012197639669999715e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.709540176391601562500000000000000000000e1), SC_(3.195204734802246093750000000000000000000e1), SC_(6.402283129477376083547421708583723034402e-1), SC_(3.597716870522623916452578291416276965598e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.837726783752441406250000000000000000000e1), SC_(3.639501953125000000000000000000000000000e1), SC_(7.328503378322701372366867357591531160795e-1), SC_(2.671496621677298627633132642408468839205e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(2.982279586791992187500000000000000000000e1), SC_(4.130712127685546875000000000000000000000e1), SC_(8.120315212974665140882026008610420369286e-1), SC_(1.879684787025334859117973991389579630714e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(3.152261734008789062500000000000000000000e1), SC_(5.021179199218750000000000000000000000000e1), SC_(9.186319322366888176750588602864877172835e-1), SC_(8.136806776331118232494113971351228271646e-2) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(3.423733520507812500000000000000000000000e1), SC_(7.237849426269531250000000000000000000000e1), SC_(9.951873088673392922733292174972560412168e-1), SC_(4.812691132660707726670782502743958783235e-3) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(3.477303314208984375000000000000000000000e1), SC_(1.101748352050781250000000000000000000000e2), SC_(9.999971837793305211473087127894649237140e-1), SC_(2.816220669478852691287210535076286027043e-6) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(3.767639541625976562500000000000000000000e1), SC_(1.585132293701171875000000000000000000000e2), SC_(9.999999999217985889295034646019210191196e-1), SC_(7.820141107049653539807898088039446209823e-11) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(4.238486480712890625000000000000000000000e1), SC_(2.216838836669921875000000000000000000000e2), SC_(9.999999999999999601293913998035171348369e-1), SC_(3.987060860019648286516310053058333358666e-17) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(4.420680999755859375000000000000000000000e1), SC_(4.615872383117675781250000000000000000000), SC_(1.905661027512242706659103721587818984333e-6), SC_(9.999980943389724877572933408962784121810e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(5.538459396362304687500000000000000000000e1), SC_(1.433412647247314453125000000000000000000e1), SC_(9.034581449355297571199439006101212682858e-5), SC_(9.999096541855064470242880056099389878732e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(5.569964599609375000000000000000000000000e1), SC_(2.882577896118164062500000000000000000000e1), SC_(1.502491024742726900721768573150553664461e-2), SC_(9.849750897525727309927823142684944633554e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(5.940588760375976562500000000000000000000e1), SC_(4.601834869384765625000000000000000000000e1), SC_(1.611280641977754491265049708566642649071e-1), SC_(8.388719358022245508734950291433357350929e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.038262176513671875000000000000000000000e1), SC_(5.610107803344726562500000000000000000000e1), SC_(3.657521178731620226395103904384252292498e-1), SC_(6.342478821268379773604896095615747707502e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.163340759277343750000000000000000000000e1), SC_(6.294946670532226562500000000000000000000e1), SC_(5.091374904325356692615510556985159084002e-1), SC_(4.908625095674643307384489443014840915998e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.331008529663085937500000000000000000000e1), SC_(6.519673919677734375000000000000000000000e1), SC_(5.231859749752328120091326913983730165168e-1), SC_(4.768140250247671879908673086016269834832e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.341989517211914062500000000000000000000e1), SC_(6.537181091308593750000000000000000000000e1), SC_(5.247798390357895659922652920258981413362e-1), SC_(4.752201609642104340077347079741018586638e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(7.225879669189453125000000000000000000000e1), SC_(7.421813201904296875000000000000000000000e1), SC_(5.234172204634461348973050395185083796154e-1), SC_(4.765827795365538651026949604814916203846e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(7.844540405273437500000000000000000000000e1), SC_(8.047771453857421875000000000000000000000e1), SC_(5.241166012332058450099735584802403396666e-1), SC_(4.758833987667941549900264415197596603334e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(7.974770355224609375000000000000000000000e1), SC_(8.251660919189453125000000000000000000000e1), SC_(5.401275541463796727029721715244411607698e-1), SC_(4.598724458536203272970278284755588392302e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(8.435225677490234375000000000000000000000e1), SC_(9.493458557128906250000000000000000000000e1), SC_(6.945150702027718064387971840673098423325e-1), SC_(3.054849297972281935612028159326901576675e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(8.441753387451171875000000000000000000000e1), SC_(1.036433410644531250000000000000000000000e2), SC_(8.272511071589428500718069542694108681095e-1), SC_(1.727488928410571499281930457305891318905e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.495173645019531250000000000000000000000e1), SC_(1.259747390747070312500000000000000000000e2), SC_(9.242119719038375857308175896733646764492e-1), SC_(7.578802809616241426918241032663532355085e-2) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.707512664794921875000000000000000000000e1), SC_(1.485405578613281250000000000000000000000e2), SC_(9.890367746031278342312969412157252380369e-1), SC_(1.096322539687216576870305878427476196306e-2) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.811781311035156250000000000000000000000e1), SC_(2.001394500732421875000000000000000000000e2), SC_(9.999867471525884221223495220849233657771e-1), SC_(1.325284741157787765047791507663422291772e-5) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.007325439453125000000000000000000000000e2), SC_(3.080533752441406250000000000000000000000e2), SC_(9.999999999999626856367701345315672334662e-1), SC_(3.731436322986546843276653379798110295426e-14) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.093762969970703125000000000000000000000e2), SC_(4.453128356933593750000000000000000000000e2), SC_(9.999999999999999999999999869957388503105e-1), SC_(1.300426114968953210370021710236260945941e-26) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.094441146850585937500000000000000000000e2), SC_(5.569801025390625000000000000000000000000e2), SC_(9.999999999999999999999999999999999999985e-1), SC_(1.454780177561926332042209107700037715461e-39) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.264718551635742187500000000000000000000e2), SC_(1.284237670898437500000000000000000000000e1), SC_(5.222989929752465381367695253781868498622e-15), SC_(9.999999999999947770100702475346186323047e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.279526672363281250000000000000000000000e2), SC_(3.247614669799804687500000000000000000000e1), SC_(7.092987538615312696053198552453967755005e-9), SC_(9.999999929070124613846873039468014475460e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.310955810546875000000000000000000000000e2), SC_(6.652375030517578125000000000000000000000e1), SC_(4.149921419238204980392051630305258887363e-4), SC_(9.995850078580761795019607948369694741113e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.311481323242187500000000000000000000000e2), SC_(9.982504272460937500000000000000000000000e1), SC_(6.612715986899804491611660635109993003519e-2), SC_(9.338728401310019550838833936489000699648e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.327210998535156250000000000000000000000e2), SC_(1.212057113647460937500000000000000000000e2), SC_(2.899836628432815307947437260175033162688e-1), SC_(7.100163371567184692052562739824966837312e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.357470245361328125000000000000000000000e2), SC_(1.363219604492187500000000000000000000000e2), SC_(4.935330558490911252185725134753965026552e-1), SC_(5.064669441509088747814274865246034973448e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.362719116210937500000000000000000000000e2), SC_(1.380856018066406250000000000000000000000e2), SC_(5.146537665673362067255846059601319698069e-1), SC_(4.853462334326637932744153940398680301931e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.389657287597656250000000000000000000000e2), SC_(1.409176483154296875000000000000000000000e2), SC_(5.168378642075320211457630901833535233871e-1), SC_(4.831621357924679788542369098166464766129e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.412092285156250000000000000000000000000e2), SC_(1.431754608154296875000000000000000000000e2), SC_(5.169436664301119716716053496901880183243e-1), SC_(4.830563335698880283283946503098119816757e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.451677856445312500000000000000000000000e2), SC_(1.472668304443359375000000000000000000000e2), SC_(5.188981985493474256932176544847754096874e-1), SC_(4.811018014506525743067823455152245903126e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.481294555664062500000000000000000000000e2), SC_(1.515821838378906250000000000000000000000e2), SC_(5.406622878092400357690536608444921680034e-1), SC_(4.593377121907599642309463391555078319966e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(1.486264953613281250000000000000000000000e2), SC_(1.656362609863281250000000000000000000000e2), SC_(7.391397189328775581384348958477215460740e-1), SC_(2.608602810671224418615651041522784539260e-1) }}, 
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+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.527500000000000000000000000000000000000e2), SC_(1.408183227539062500000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.000237582081951046145742432553355955693e-96) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.584414672851562500000000000000000000000e2), SC_(1.788686401367187500000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(5.957827315427703908759646403474290650064e-146) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.594559783935546875000000000000000000000e2), SC_(3.587517929077148437500000000000000000000e1), SC_(1.356176082172300107520771145977600912607e-69), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.595857238769531250000000000000000000000e2), SC_(8.972038269042968750000000000000000000000e1), SC_(8.216070643082009610897966985030390252065e-34), SC_(9.999999999999999999999999999999991783929e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.596211700439453125000000000000000000000e2), SC_(1.794584960937500000000000000000000000000e2), SC_(7.166324162989548688114040163345096606824e-12), SC_(9.999999999928336758370104513118859598367e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.600560913085937500000000000000000000000e2), SC_(2.695139160156250000000000000000000000000e2), SC_(1.327523249276128325865905450265666297728e-3), SC_(9.986724767507238716741340945497343337023e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.629447326660156250000000000000000000000e2), SC_(3.260164794921875000000000000000000000000e2), SC_(1.301004072687408931880643785374331713448e-1), SC_(8.698995927312591068119356214625668286552e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.643806610107421875000000000000000000000e2), SC_(3.600397033691406250000000000000000000000e2), SC_(4.660182128381547289926298172432381841274e-1), SC_(5.339817871618452710073701827567618158726e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.646915740966796875000000000000000000000e2), SC_(3.636233825683593750000000000000000000000e2), SC_(5.062665303560026040030081445813429265462e-1), SC_(4.937334696439973959969918554186570734538e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.670017089843750000000000000000000000000e2), SC_(3.662975158691406250000000000000000000000e2), SC_(5.106973005574084169848510356025972361947e-1), SC_(4.893026994425915830151489643974027638053e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.698258666992187500000000000000000000000e2), SC_(3.691585998535156250000000000000000000000e2), SC_(5.111052702424046835457855804537903702324e-1), SC_(4.888947297575953164542144195462096297676e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.744857635498046875000000000000000000000e2), SC_(3.741553649902343750000000000000000000000e2), SC_(5.150887834143480940075807657281644704146e-1), SC_(4.849112165856519059924192342718355295854e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.756861267089843750000000000000000000000e2), SC_(3.787317504882812500000000000000000000000e2), SC_(5.553201941675350167646371773361318286268e-1), SC_(4.446798058324649832353628226638681713732e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.811583862304687500000000000000000000000e2), SC_(4.184996337890625000000000000000000000000e2), SC_(8.705310827199552808744555344825350400779e-1), SC_(1.294689172800447191255444655174649599221e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.826751708984375000000000000000000000000e2), SC_(4.583652038574218750000000000000000000000e2), SC_(9.852368357723595013366611071898316886584e-1), SC_(1.476316422764049866333889281016831134165e-2) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.831471099853515625000000000000000000000e2), SC_(4.971757812500000000000000000000000000000e2), SC_(9.992475277030363823098749022492933911247e-1), SC_(7.524722969636176901250977507066088753398e-4) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.867986450195312500000000000000000000000e2), SC_(5.791416625976562500000000000000000000000e2), SC_(9.999997868073928052689964204548628458249e-1), SC_(2.131926071947310035795451371541751186443e-7) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.900444183349609375000000000000000000000e2), SC_(7.786804199218750000000000000000000000000e2), SC_(9.999999999999999999842890448735225215767e-1), SC_(1.571095512647747842332431001488736906025e-20) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.914333953857421875000000000000000000000e2), SC_(1.172187500000000000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(3.535476598966853255870979872762898186893e-58) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.915013732910156250000000000000000000000e2), SC_(1.563188720703125000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.503818272229840966678812511638176571203e-104) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.918984832763671875000000000000000000000e2), SC_(1.955971435546875000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(2.310477211914576555408738212352063615286e-156) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.929777069091796875000000000000000000000e2), SC_(3.922735214233398437500000000000000000000e1), SC_(5.529022449107786967054709588291909745351e-72), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.935389862060546875000000000000000000000e2), SC_(9.820869445800781250000000000000000000000e1), SC_(3.003464474651918107665338937597739013444e-35), SC_(9.999999999999999999999999999999999699654e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.937735595703125000000000000000000000000e2), SC_(1.965346832275390625000000000000000000000e2), SC_(2.080463495775573742672052667674087592048e-12), SC_(9.999999999979195365042244262573279473323e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(2.950607910156250000000000000000000000000e2), SC_(9.973915776745850702522937113932704987176e-4), SC_(9.990026084223254149297477062886067295013e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.962219390869140625000000000000000000000e2), SC_(3.559659729003906250000000000000000000000e2), SC_(1.231238558149305651892248029845975246239e-1), SC_(8.768761441850694348107751970154024753761e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.985762634277343750000000000000000000000e2), SC_(3.938933410644531250000000000000000000000e2), SC_(4.642429596210990429025849224204611903317e-1), SC_(5.357570403789009570974150775795388096683e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.988137054443359375000000000000000000000e2), SC_(3.977113952636718750000000000000000000000e2), SC_(5.056692632383849664727396199463872273040e-1), SC_(4.943307367616150335272603800536127726960e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.992922668457031250000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(5.102581793845303603671068481454659458711e-1), SC_(4.897418206154696396328931518545340541289e-1) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nccs_big.ipp b/src/boost/libs/math/test/nccs_big.ipp
new file mode 100644
index 00000000..47395fc3
--- /dev/null
+++ b/src/boost/libs/math/test/nccs_big.ipp
@@ -0,0 +1,240 @@
+// Copyright John Maddock 2008.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Some of these tests have been commented out: 
+// the current algorithm may underflow to zero
+// prematurely in these cases.
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 216> nccs_big = {{
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.036294460296630859375000000000000000000e1), SC_(6.015496565199092654771842521716269252752e-33), SC_(9.999999999999999999999999999999939845034e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(2.602141952514648437500000000000000000000e1), SC_(6.271325708033427466636203558887430713942e-16), SC_(9.999999999999993728674291966572533363796e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(5.471894454956054687500000000000000000000e1), SC_(5.592130493491734836774684682197361443348e-6), SC_(9.999944078695065082651632253153178026386e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(8.737109375000000000000000000000000000000e1), SC_(2.710350845630041378510514217949405178637e-2), SC_(9.728964915436995862148948578205059482136e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.078618545532226562500000000000000000000e2), SC_(2.416865577598000489309403624290209365410e-1), SC_(7.583134422401999510690596375709790634590e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(1.631703033447265625000000000000000000000e2), SC_(4.850524327039212486399364362407790060498e-1), SC_(5.149475672960787513600635637592209939502e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(2.240465087890625000000000000000000000000e2), SC_(5.102803820072670629735512094460263022259e-1), SC_(4.897196179927329370264487905539736977741e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(2.581070861816406250000000000000000000000e2), SC_(5.127291899610524813372367620548767727485e-1), SC_(4.872708100389475186627632379451232272515e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(5.197506713867187500000000000000000000000e2), SC_(5.093600674154814778853402924042807787787e-1), SC_(4.906399325845185221146597075957192212213e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(7.723677978515625000000000000000000000000e2), SC_(5.129845120964498366078694646976298310694e-1), SC_(4.870154879035501633921305353023701689306e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(1.237953002929687500000000000000000000000e3), SC_(5.763985263535360329428622940628006790554e-1), SC_(4.236014736464639670571377059371993209446e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(3.597574707031250000000000000000000000000e3), SC_(9.976074228142860532304918135060016111210e-1), SC_(2.392577185713946769508186493998388879014e-3) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(6.406252441406250000000000000000000000000e3), SC_(9.999999999988234458037685450814132140028e-1), SC_(1.176554196231454918586785997205692327229e-12) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(1.278815039062500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.793740612159310215972825187830541699059e-44) }}, 
+      //{{ SC_(1.018147201538085937500000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(3.816887890625000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(2.624557028577293196236760011838770407123e-282) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(2.081713409423828125000000000000000000000e2), SC_(9.999999918310188386408291661140606777109e-1), SC_(8.168981161359170833885939322289111656020e-9) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(3.136257019042968750000000000000000000000e2), SC_(9.999999999999999999997481941485462016787e-1), SC_(2.518058514537983212510200000883718673124e-22) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(4.395764770507812500000000000000000000000e2), SC_(9.999999999999999999999999999999999999891e-1), SC_(1.093991813308405906816815119997010831382e-38) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(5.847551269531250000000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(1.417351093183736492767210449419689603273e-57) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.203027439117431640625000000000000000000e1), SC_(2.489187894860431662832274494325344409044e-33), SC_(9.999999999999999999999999999999975108121e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(4.131867980957031250000000000000000000000e1), SC_(1.863717764438118737209026563549291091122e-17), SC_(9.999999999999999813628223556188126279097e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(1.123635025024414062500000000000000000000e2), SC_(1.562309944720834483076150644397119189573e-7), SC_(9.999998437690055279165516923849355602881e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(1.939224700927734375000000000000000000000e2), SC_(8.258780457581631026955349046902786232602e-3), SC_(9.917412195424183689730446509530972137674e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(4.681394042968750000000000000000000000000e2), SC_(1.127617352458129417761740693640329728914e-1), SC_(8.872382647541870582238259306359670271086e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(7.643319091796875000000000000000000000000e2), SC_(4.498977537652141854059258795223599226429e-1), SC_(5.501022462347858145940741204776400773571e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(1.224926147460937500000000000000000000000e3), SC_(4.985999647216386426350875863423295225661e-1), SC_(5.014000352783613573649124136576704774339e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(3.270978759765625000000000000000000000000e3), SC_(5.034969893045204369695930956253638797689e-1), SC_(4.965030106954795630304069043746361202311e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(5.339533691406250000000000000000000000000e3), SC_(5.041995783547151692163350304141522450987e-1), SC_(4.958004216452848307836649695858477549013e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(9.847333007812500000000000000000000000000e3), SC_(5.218324048038104189906770175658517840455e-1), SC_(4.781675951961895810093229824341482159545e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(2.570083984375000000000000000000000000000e4), SC_(7.880103151988891744733896616244249648153e-1), SC_(2.119896848011108255266103383755750351847e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.203816833496093750000000000000000000000e2), SC_(7.750624369611961643063262555200813807594e-1), SC_(2.249375630388038356936737444799186192406e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.318729553222656250000000000000000000000e2), SC_(9.228340394039078619369894783923632677951e-1), SC_(7.716596059609213806301052160763673220487e-2) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(1.498202362060546875000000000000000000000e2), SC_(9.803864144780559501573182632699657782309e-1), SC_(1.961358552194404984268173673003422176910e-2) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(1.834548645019531250000000000000000000000e2), SC_(9.994450477369483313976504627305397704752e-1), SC_(5.549522630516686023495372694602295248293e-4) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(2.513099212646484375000000000000000000000e2), SC_(9.999999978494698815923024286513386419513e-1), SC_(2.150530118407697571348661358048672055570e-9) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(5.118807983398437500000000000000000000000e2), SC_(9.999999999999999999999999996281454655250e-1), SC_(3.718545344749508823584391984811260019469e-28) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(9.203168945312500000000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(1.844040117407159954894223705683882648116e-61) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(1.319577636718750000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(2.307567466440535440269025223714763348054e-102) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(5.255071640014648437500000000000000000000e1), SC_(2.531796845396444591295015433691444544079e-68), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(1.943511657714843750000000000000000000000e2), SC_(2.750789427801526842024111313182490307468e-49), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(6.157522583007812500000000000000000000000e2), SC_(2.461738268060311544490176429122248153100e-26), SC_(9.999999999999999999999999753826173193969e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(2.457248291015625000000000000000000000000e3), SC_(5.405661850111669636069837606294397747895e-15), SC_(9.999999999999945943381498883303639301624e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(4.809916503906250000000000000000000000000e3), SC_(8.354544126325367215549378532566857712491e-5), SC_(9.999164545587367463278445062146743314229e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(9.744418945312500000000000000000000000000e3), SC_(3.107885865480433461597834983181702392517e-1), SC_(6.892114134519566538402165016818297607483e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(2.542627734375000000000000000000000000000e4), SC_(4.694171447888456738194422581057552910696e-1), SC_(5.305828552111543261805577418942447089304e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.164947891235351562500000000000000000000e2), SC_(5.175568165717480244417625170911940287297e-1), SC_(4.824431834282519755582374829088059712703e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.169627151489257812500000000000000000000e2), SC_(5.178551608267340377873127329785924010260e-1), SC_(4.821448391732659622126872670214075989740e-1) }}, 
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+      //{{ SC_(9.835224609375000000000000000000000000000e3), SC_(2.534410546875000000000000000000000000000e4), SC_(3.517932861328125000000000000000000000000e3), SC_(1.099992559780263385542867064735840160345e-4822), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.814723730087280273437500000000000000000), SC_(6.361479980468750000000000000000000000000e3), SC_(1.181726713955470992474919794090175086526e-3518), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(2.270954132080078125000000000000000000000), SC_(1.272318847656250000000000000000000000000e4), SC_(4.884425625229736252928233330384214577613e-1070), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(7.623167991638183593750000000000000000000), SC_(1.908879687500000000000000000000000000000e4), SC_(8.962370551702060333750421105332120391485e-211), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.468006896972656250000000000000000000000e1), SC_(2.291290625000000000000000000000000000000e4), SC_(8.474346197209301705276834960187638277086e-32), SC_(9.999999999999999999999999999999152565380e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.803178977966308593750000000000000000000e1), SC_(2.520751562500000000000000000000000000000e4), SC_(1.295024406285843621340357720924586110287e-1), SC_(8.704975593714156378659642279075413889713e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(6.300376892089843750000000000000000000000e1), SC_(2.548160351562500000000000000000000000000e4), SC_(4.562568770648142018768727830933913267766e-1), SC_(5.437431229351857981231272169066086732234e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.224560546875000000000000000000000000000e2), SC_(2.556656250000000000000000000000000000000e4), SC_(5.011806692322517737217772574781293569349e-1), SC_(4.988193307677482262782227425218706430651e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.562923583984375000000000000000000000000e2), SC_(2.560295898437500000000000000000000000000e4), SC_(5.056803760816591586262668258627004583009e-1), SC_(4.943196239183408413737331741372995416991e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(4.178839721679687500000000000000000000000e2), SC_(2.588785351562500000000000000000000000000e4), SC_(5.460676224635753887770522516056576743617e-1), SC_(4.539323775364246112229477483943423256383e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(6.697814941406250000000000000000000000000e2), SC_(2.637502539062500000000000000000000000000e4), SC_(8.702351059685343076476037133703416750345e-1), SC_(1.297648940314656923523962866296583249655e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.123881347656250000000000000000000000000e3), SC_(2.922478515625000000000000000000000000000e4), SC_(9.999999999999999999999999996167282036646e-1), SC_(3.832717963354218502430822356853389506342e-28) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(3.168707763671875000000000000000000000000e3), SC_(3.433537500000000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.698150074923070488658872407738404871525e-101) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(5.236728515625000000000000000000000000000e3), SC_(3.988508203125000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.092452334181002182656298507096893396391e-217) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(9.735224609375000000000000000000000000000e3), SC_(5.276899218750000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(3.597661166334420937810823788802336702587e-576) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(2.534410546875000000000000000000000000000e4), SC_(1.015764218750000000000000000000000000000e5), SC_(1.000000000000000000000000000000000000000), SC_(2.563248488880158240698244894381770231093e-2382) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nct.ipp b/src/boost/libs/math/test/nct.ipp
new file mode 100644
index 00000000..fb663a7a
--- /dev/null
+++ b/src/boost/libs/math/test/nct.ipp
@@ -0,0 +1,229 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 209-7> nct = {{
+      {{ SC_(5.637862086296081542968750000000000000000e-1), SC_(-5.074075460433959960937500000000000000000e-1), SC_(-3.162277862429618835449218750000000000000e-2), SC_(6.862274577179818450132372470056769938949e-1), SC_(3.137725422820181549867627529943230061051e-1) }}, 
+      {{ SC_(9.567963480949401855468750000000000000000e-1), SC_(-9.472283720970153808593750000000000000000e-1), SC_(-7.905694097280502319335937500000000000000e-2), SC_(8.115615601997266002916301508229723403909e-1), SC_(1.884384398002733997083698491770276596091e-1) }}, 
+      {{ SC_(2.380512714385986328125000000000000000000), SC_(-2.378132343292236328125000000000000000000), SC_(-6.344355583190917968750000000000000000000), SC_(1.181983559218041139443788725932712768639e-1), SC_(8.818016440781958860556211274067287231361e-1) }}, 
+      {{ SC_(2.707923889160156250000000000000000000000), SC_(2.707923889160156250000000000000000000000), SC_(6.967820167541503906250000000000000000000), SC_(8.962869141158998144131448676176096050228e-1), SC_(1.037130858841001855868551323823903949772e-1) }}, 
+      {{ SC_(3.554877519607543945312500000000000000000), SC_(3.555233001708984375000000000000000000000), SC_(7.444825649261474609375000000000000000000), SC_(8.868528863556108953156241536058758129831e-1), SC_(1.131471136443891046843758463941241870169e-1) }}, 
+      {{ SC_(6.366665840148925781250000000000000000000), SC_(-6.373032569885253906250000000000000000000), SC_(-1.003813362121582031250000000000000000000e1), SC_(1.297164612941840729663335994423583046378e-1), SC_(8.702835387058159270336664005576416953622e-1) }}, 
+      {{ SC_(6.889312267303466796875000000000000000000), SC_(6.958205223083496093750000000000000000000), SC_(1.067599391937255859375000000000000000000e1), SC_(8.692923253313482797187029403902244593628e-1), SC_(1.307076746686517202812970596097755406372e-1) }}, 
+      {{ SC_(7.142432212829589843750000000000000000000), SC_(-7.856675624847412109375000000000000000000), SC_(-1.186992073059082031250000000000000000000e1), SC_(1.313759752665446453920643109581266741211e-1), SC_(8.686240247334553546079356890418733258789e-1) }}, 
+      {{ SC_(7.288346767425537109375000000000000000000), SC_(-8.746016502380371093750000000000000000000), SC_(-1.308834171295166015625000000000000000000e1), SC_(1.317487167403902234213465542239538177641e-1), SC_(8.682512832596097765786534457760461822359e-1) }}, 
+      {{ SC_(9.234373092651367187500000000000000000000), SC_(-1.200468444824218750000000000000000000000e1), SC_(-1.678483200073242187500000000000000000000e1), SC_(1.371773284108319849485042712205994589836e-1), SC_(8.628226715891680150514957287794005410164e-1) }}, 
+      {{ SC_(1.024338054656982421875000000000000000000e1), SC_(-1.536507034301757812500000000000000000000e1), SC_(-2.095777320861816406250000000000000000000e1), SC_(1.376443537392091127705735460070325295078e-1), SC_(8.623556462607908872294264539929674704922e-1) }}, 
+      {{ SC_(1.079011821746826171875000000000000000000e1), SC_(2.158023643493652343750000000000000000000e1), SC_(2.953773117065429687500000000000000000000e1), SC_(8.756990872254366689422087613232016840613e-1), SC_(1.243009127745633310577912386767983159387e-1) }}, 
+      {{ SC_(1.351916885375976562500000000000000000000e1), SC_(4.055750656127929687500000000000000000000e1), SC_(5.393296432495117187500000000000000000000e1), SC_(8.875082903101746924904055764230529369583e-1), SC_(1.124917096898253075095944235769470630417e-1) }}, 
+      {{ SC_(1.517095088958740234375000000000000000000e1), SC_(6.068380355834960937500000000000000000000e1), SC_(8.029798126220703125000000000000000000000e1), SC_(8.999784514511157146615339407607497230611e-1), SC_(1.000215485488842853384660592392502769389e-1) }}, 
+      {{ SC_(1.942644500732421875000000000000000000000e1), SC_(-9.713222503662109375000000000000000000000e1), SC_(-1.270076446533203125000000000000000000000e2), SC_(7.762632640481949429728015088679192552401e-2), SC_(9.223736735951805057027198491132080744760e-1) }}, 
+      {{ SC_(1.950817108154296875000000000000000000000e1), SC_(-1.950817108154296875000000000000000000000), SC_(-4.251358509063720703125000000000000000000), SC_(3.051855543632768793517707982155241831073e-2), SC_(9.694814445636723120648229201784475816893e-1) }}, 
+      {{ SC_(2.197244071960449218750000000000000000000e1), SC_(5.493110179901123046875000000000000000000), SC_(9.847434997558593750000000000000000000000), SC_(9.929860655432502813979005205517475638750e-1), SC_(7.013934456749718602099479448252436125022e-3) }}, 
+      {{ SC_(2.249299240112304687500000000000000000000e1), SC_(-1.124649620056152343750000000000000000000e1), SC_(-2.007061576843261718750000000000000000000e1), SC_(1.741152139887334291426335869016989927262e-3), SC_(9.982588478601126657085736641309830100727e-1) }}, 
+      {{ SC_(2.379962348937988281250000000000000000000e1), SC_(1.784971809387207031250000000000000000000e1), SC_(3.341829299926757812500000000000000000000e1), SC_(9.996211766573392792339813291721999010055e-1), SC_(3.788233426607207660186708278000989945169e-4) }}, 
+      {{ SC_(2.503664016723632812500000000000000000000e1), SC_(-2.253297615051269531250000000000000000000e1), SC_(-2.359688377380371093750000000000000000000e1), SC_(4.134518081460681240313822521036373281691e-1), SC_(5.865481918539318759686177478963626718309e-1) }}, 
+      {{ SC_(2.517941474914550781250000000000000000000e1), SC_(2.492761993408203125000000000000000000000e1), SC_(2.668598747253417968750000000000000000000e1), SC_(6.429374782181830684645655350039514639861e-1), SC_(3.570625217818169315354344649960485360139e-1) }}, 
+      {{ SC_(2.539745140075683593750000000000000000000e1), SC_(2.537205505371093750000000000000000000000e1), SC_(2.814428710937500000000000000000000000000e1), SC_(7.259483462797133090367177861426920725105e-1), SC_(2.740516537202866909632822138573079274895e-1) }}, 
+      {{ SC_(2.598132896423339843750000000000000000000e1), SC_(-2.598132896423339843750000000000000000000e1), SC_(-2.977846527099609375000000000000000000000e1), SC_(2.056285524153440036454579324861282902585e-1), SC_(7.943714475846559963545420675138717097415e-1) }}, 
+      {{ SC_(2.709548759460449218750000000000000000000e1), SC_(2.709819793701171875000000000000000000000e1), SC_(3.155788612365722656250000000000000000000e1), SC_(8.284319294492629884981570706960038439140e-1), SC_(1.715680705507370115018429293039961560860e-1) }}, 
+      {{ SC_(2.772497558593750000000000000000000000000e1), SC_(-2.775270271301269531250000000000000000000e1), SC_(-3.262088012695312500000000000000000000000e1), SC_(1.533040128385550877036403158398526326095e-1), SC_(8.466959871614449122963596841601473673905e-1) }}, 
+      {{ SC_(2.837735366821289062500000000000000000000e1), SC_(-2.866112709045410156250000000000000000000e1), SC_(-3.364639282226562500000000000000000000000e1), SC_(1.517071461091471563002300276017556302873e-1), SC_(8.482928538908528436997699723982443697127e-1) }}, 
+      {{ SC_(2.982288169860839843750000000000000000000e1), SC_(-3.280517196655273437500000000000000000000e1), SC_(-3.830894470214843750000000000000000000000e1), SC_(1.518216968394176742712403142990093487196e-1), SC_(8.481783031605823257287596857009906512804e-1) }}, 
+      {{ SC_(2.985888671875000000000000000000000000000e1), SC_(-3.583066558837890625000000000000000000000e1), SC_(-4.181766510009765625000000000000000000000e1), SC_(1.517913318103332394681789642601874730845e-1), SC_(8.482086681896667605318210357398125269155e-1) }}, 
+      {{ SC_(3.088776969909667968750000000000000000000e1), SC_(-4.015409851074218750000000000000000000000e1), SC_(-4.670454025268554687500000000000000000000e1), SC_(1.518209117173821183306392204923367360040e-1), SC_(8.481790882826178816693607795076632639960e-1) }}, 
+      {{ SC_(3.152270126342773437500000000000000000000e1), SC_(4.728404998779296875000000000000000000000e1), SC_(5.492649841308593750000000000000000000000e1), SC_(8.498252445594378197691615470039570119257e-1), SC_(1.501747554405621802308384529960429880743e-1) }}, 
+      {{ SC_(3.161160087585449218750000000000000000000e1), SC_(6.322320175170898437500000000000000000000e1), SC_(7.414052581787109375000000000000000000000e1), SC_(8.664876685568435851658590203027698501092e-1), SC_(1.335123314431564148341409796972301498908e-1) }}, 
+      {{ SC_(3.252243041992187500000000000000000000000e1), SC_(9.756729125976562500000000000000000000000e1), SC_(1.153452301025390625000000000000000000000e2), SC_(8.831031107955767113232711697542937898518e-1), SC_(1.168968892044232886767288302457062101482e-1) }}, 
+      {{ SC_(3.423741912841796875000000000000000000000e1), SC_(1.369496765136718750000000000000000000000e2), SC_(1.628426971435546875000000000000000000000e2), SC_(8.979978036187864055320169695913375830185e-1), SC_(1.020021963812135944679830304086624169815e-1) }}, 
+      {{ SC_(3.477311706542968750000000000000000000000e1), SC_(1.738655853271484375000000000000000000000e2), SC_(2.108200988769531250000000000000000000000e2), SC_(9.231547098404640045345676119885187046564e-1), SC_(7.684529015953599546543238801148129534355e-2) }}, 
+      {{ SC_(3.737460327148437500000000000000000000000e1), SC_(-3.737460374832153320312500000000000000000), SC_(-6.062849998474121093750000000000000000000), SC_(2.989407974199651137619128615323098044931e-2), SC_(9.701059202580034886238087138467690195507e-1) }}, 
+      {{ SC_(3.767647552490234375000000000000000000000e1), SC_(9.419118881225585937500000000000000000000), SC_(1.422046089172363281250000000000000000000e1), SC_(9.942432836401959725307634033893315517704e-1), SC_(5.756716359804027469236596610668448229627e-3) }}, 
+      {{ SC_(3.931912994384765625000000000000000000000e1), SC_(-1.965956497192382812500000000000000000000e1), SC_(-3.022105789184570312500000000000000000000e1), SC_(1.018579099877846617752492244992008361556e-3), SC_(9.989814209001221533822475077550079916384e-1) }}, 
+      {{ SC_(4.161368942260742187500000000000000000000e1), SC_(-3.121026611328125000000000000000000000000e1), SC_(-5.041753005981445312500000000000000000000e1), SC_(1.504952224329608441786737013794940554069e-4), SC_(9.998495047775670391558213262986205059446e-1) }}, 
+      {{ SC_(4.204189300537109375000000000000000000000e1), SC_(-3.783770370483398437500000000000000000000e1), SC_(-3.897372055053710937500000000000000000000e1), SC_(4.241964739668615107939485538821951273245e-1), SC_(5.758035260331384892060514461178048726755e-1) }}, 
+      {{ SC_(4.238494491577148437500000000000000000000e1), SC_(4.196109771728515625000000000000000000000e1), SC_(4.394155883789062500000000000000000000000e1), SC_(6.324772961255670448387378401509919194938e-1), SC_(3.675227038744329551612621598490080805062e-1) }}, 
+      {{ SC_(4.344764709472656250000000000000000000000e1), SC_(4.340420150756835937500000000000000000000e1), SC_(4.665811920166015625000000000000000000000e1), SC_(7.171851424088798130212692227040859394821e-1), SC_(2.828148575911201869787307772959140605179e-1) }}, 
+      {{ SC_(4.420688629150390625000000000000000000000e1), SC_(-4.420688629150390625000000000000000000000e1), SC_(-4.873620605468750000000000000000000000000e1), SC_(2.114948742992961572807034016738007587978e-1), SC_(7.885051257007038427192965983261992412022e-1) }}, 
+      {{ SC_(4.476246643066406250000000000000000000000e1), SC_(4.476694488525390625000000000000000000000e1), SC_(5.007346725463867187500000000000000000000e1), SC_(8.245850473011781305822593524388817446911e-1), SC_(1.754149526988218694177406475611182553089e-1) }}, 
+      {{ SC_(4.603128814697265625000000000000000000000e1), SC_(-4.607732009887695312500000000000000000000e1), SC_(-5.190364837646484375000000000000000000000e1), SC_(1.561987365681882768738847432273329720561e-1), SC_(8.438012634318117231261152567726670279439e-1) }}, 
+      {{ SC_(4.870507049560546875000000000000000000000e1), SC_(-4.919211959838867187500000000000000000000e1), SC_(-5.524404907226562500000000000000000000000e1), SC_(1.545907695642567335795228865061980095925e-1), SC_(8.454092304357432664204771134938019904075e-1) }}, 
+      {{ SC_(5.021684646606445312500000000000000000000e1), SC_(-5.523853302001953125000000000000000000000e1), SC_(-6.189676666259765625000000000000000000000e1), SC_(1.544995294701398525596552628473387177431e-1), SC_(8.455004705298601474403447371526612822569e-1) }}, 
+      {{ SC_(5.085651016235351562500000000000000000000e1), SC_(-6.102781295776367187500000000000000000000e1), SC_(-6.831215667724609375000000000000000000000e1), SC_(1.545232378558417400408592895047673900682e-1), SC_(8.454767621441582599591407104952326099318e-1) }}, 
+      {{ SC_(5.101910018920898437500000000000000000000e1), SC_(6.632482910156250000000000000000000000000e1), SC_(7.421913909912109375000000000000000000000e1), SC_(8.456541431034008370031368689430412936904e-1), SC_(1.543458568965991629968631310569587063096e-1) }}, 
+      {{ SC_(5.150172424316406250000000000000000000000e1), SC_(7.725258636474609375000000000000000000000e1), SC_(8.644519042968750000000000000000000000000e1), SC_(8.474644525606726641165548052803633498981e-1), SC_(1.525355474393273358834451947196366501019e-1) }}, 
+      {{ SC_(5.520508956909179687500000000000000000000e1), SC_(1.104101791381835937500000000000000000000e2), SC_(1.239558410644531250000000000000000000000e2), SC_(8.647754825744024885372806932758253507646e-1), SC_(1.352245174255975114627193067241746492354e-1) }}, 
+      {{ SC_(5.538466644287109375000000000000000000000e1), SC_(-1.661539916992187500000000000000000000000e2), SC_(-1.880928497314453125000000000000000000000e2), SC_(1.176367155276893515668241466414954864808e-1), SC_(8.823632844723106484331758533585045135192e-1) }}, 
+      {{ SC_(5.569971847534179687500000000000000000000e1), SC_(-2.227988739013671875000000000000000000000e2), SC_(-2.542837982177734375000000000000000000000e2), SC_(1.019403002101509742082139198401058375579e-1), SC_(8.980596997898490257917860801598941624421e-1) }}, 
+      {{ SC_(5.716787719726562500000000000000000000000e1), SC_(2.858393859863281250000000000000000000000e2), SC_(3.311436157226562500000000000000000000000e2), SC_(9.243557983861765858351445901197402396614e-1), SC_(7.564420161382341416485540988025976033856e-2) }}, 
+      {{ SC_(5.940595626831054687500000000000000000000e1), SC_(-5.940595626831054687500000000000000000000), SC_(-8.342042922973632812500000000000000000000), SC_(2.940324430636967427049432143992117341216e-2), SC_(9.705967556936303257295056785600788265878e-1) }}, 
+      {{ SC_(5.996641540527343750000000000000000000000e1), SC_(1.499160385131835937500000000000000000000e1), SC_(2.040558052062988281250000000000000000000e1), SC_(9.951502301879146945725572007339419287614e-1), SC_(4.849769812085305427442799266058071238551e-3) }}, 
+      {{ SC_(6.038269042968750000000000000000000000000e1), SC_(-3.019134521484375000000000000000000000000e1), SC_(-4.262167358398437500000000000000000000000e1), SC_(6.766671899196952261749430708777551897478e-4), SC_(9.993233328100803047738250569291222448103e-1) }}, 
+      {{ SC_(6.163347625732421875000000000000000000000e1), SC_(4.622510528564453125000000000000000000000e1), SC_(6.886083984375000000000000000000000000000e1), SC_(9.999214808466395918662727831693625040290e-1), SC_(7.851915336040813372721683063749597101964e-5) }}, 
+      {{ SC_(6.331015396118164062500000000000000000000e1), SC_(5.697913742065429687500000000000000000000e1), SC_(5.819704055786132812500000000000000000000e1), SC_(5.691117562119799871740176343388579182663e-1), SC_(4.308882437880200128259823656611420817337e-1) }}, 
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+      {{ SC_(1.486265258789062500000000000000000000000e2), SC_(-1.471402587890625000000000000000000000000e2), SC_(-1.500634155273437500000000000000000000000e2), SC_(3.834994019665212445998163679193241461748e-1), SC_(6.165005980334787554001836320806758538252e-1) }}, 
+      {{ SC_(1.502534332275390625000000000000000000000e2), SC_(-1.501031799316406250000000000000000000000e2), SC_(-1.552705535888671875000000000000000000000e2), SC_(2.952168772407109658835173884363384891592e-1), SC_(7.047831227592890341164826115636615108408e-1) }}, 
+      {{ SC_(1.507458496093750000000000000000000000000e2), SC_(-1.507458496093750000000000000000000000000e2), SC_(-1.581374206542968750000000000000000000000e2), SC_(2.192478107902515304017154908910307097216e-1), SC_(7.807521892097484695982845091089692902784e-1) }}, 
+      {{ SC_(1.509373626708984375000000000000000000000e2), SC_(1.509524536132812500000000000000000000000e2), SC_(1.596771850585937500000000000000000000000e2), SC_(8.196698196134246232539955088555504290650e-1), SC_(1.803301803865753767460044911444495709350e-1) }}, 
+      {{ SC_(1.514400787353515625000000000000000000000e2), SC_(1.515915222167968750000000000000000000000e2), SC_(1.611355438232421875000000000000000000000e2), SC_(8.405662241802794202951485500906860959921e-1), SC_(1.594337758197205797048514499093139040079e-1) }}, 
+      {{ SC_(1.515480499267578125000000000000000000000e2), SC_(1.530635223388671875000000000000000000000e2), SC_(1.627760925292968750000000000000000000000e2), SC_(8.425584011040393402323486388209564080443e-1), SC_(1.574415988959606597676513611790435919557e-1) }}, 
+      {{ SC_(1.523462677001953125000000000000000000000e2), SC_(1.675809020996093750000000000000000000000e2), SC_(1.781838073730468750000000000000000000000e2), SC_(8.427739889132064854846702655678356113818e-1), SC_(1.572260110867935145153297344321643886182e-1) }}, 
+      {{ SC_(1.527500305175781250000000000000000000000e2), SC_(1.833000488281250000000000000000000000000e2), SC_(1.948723449707031250000000000000000000000e2), SC_(8.427900695522180606061518344038782676814e-1), SC_(1.572099304477819393938481655961217323186e-1) }}, 
+      {{ SC_(1.531033935546875000000000000000000000000e2), SC_(-1.990344085693359375000000000000000000000e2), SC_(-2.115865173339843750000000000000000000000e2), SC_(1.570189149304337531280252058554779217245e-1), SC_(8.429810850695662468719747941445220782755e-1) }}, 
+      {{ SC_(1.547834472656250000000000000000000000000e2), SC_(2.321751708984375000000000000000000000000e2), SC_(2.468373413085937500000000000000000000000e2), SC_(8.449431924035675707633960529552441039710e-1), SC_(1.550568075964324292366039470447558960290e-1) }}, 
+      {{ SC_(1.557795562744140625000000000000000000000e2), SC_(-3.115591125488281250000000000000000000000e2), SC_(-3.327529602050781250000000000000000000000e2), SC_(1.363342795901147695317231770561292128059e-1), SC_(8.636657204098852304682768229438707871941e-1) }}, 
+      {{ SC_(1.558334655761718750000000000000000000000e2), SC_(-4.675003967285156250000000000000000000000e2), SC_(-5.019526672363281250000000000000000000000e2), SC_(1.175588979195506251296008572818974407098e-1), SC_(8.824411020804493748703991427181025592902e-1) }}, 
+      {{ SC_(1.584414825439453125000000000000000000000e2), SC_(-6.337659301757812500000000000000000000000e2), SC_(-6.836418457031250000000000000000000000000e2), SC_(1.008111913635493983543118803699900448204e-1), SC_(8.991888086364506016456881196300099551796e-1) }}, 
+      {{ SC_(1.587195434570312500000000000000000000000e2), SC_(7.935977172851562500000000000000000000000e2), SC_(8.650010986328125000000000000000000000000e2), SC_(9.270098267220069738822683626929044682978e-1), SC_(7.299017327799302611773163730709553170218e-2) }}, 
+      {{ SC_(1.587950134277343750000000000000000000000e2), SC_(1.587950134277343750000000000000000000000e1), SC_(1.865743637084960937500000000000000000000e1), SC_(9.718495582868837841860142886278865994715e-1), SC_(2.815044171311621581398571137211340052848e-2) }}, 
+      {{ SC_(1.590400085449218750000000000000000000000e2), SC_(-3.976000213623046875000000000000000000000e1), SC_(-4.735921859741210937500000000000000000000e1), SC_(3.427104943685960646316800866785870680051e-3), SC_(9.965728950563140393536831991332141293199e-1) }}, 
+      {{ SC_(1.594559936523437500000000000000000000000e2), SC_(7.972799682617187500000000000000000000000e1), SC_(9.861891174316406250000000000000000000000e1), SC_(9.997126698554915937834976664241599247614e-1), SC_(2.873301445084062165023335758400752386070e-4) }}, 
+      {{ SC_(1.595857391357421875000000000000000000000e2), SC_(-1.196893005371093750000000000000000000000e2), SC_(-1.545221252441406250000000000000000000000e2), SC_(1.780296360028319980495500895766825275644e-5), SC_(9.999821970363997168001950449910423317472e-1) }}, 
+      {{ SC_(1.596211853027343750000000000000000000000e2), SC_(-1.436590576171875000000000000000000000000e2), SC_(-1.451582641601562500000000000000000000000e2), SC_(4.417643071241765182473614578442729999156e-1), SC_(5.582356928758234817526385421557270000844e-1) }}, 
+      {{ SC_(1.600561065673828125000000000000000000000e2), SC_(-1.584555511474609375000000000000000000000e2), SC_(-1.614573516845703125000000000000000000000e2), SC_(3.841539866041050632940487868711941827449e-1), SC_(6.158460133958949367059512131288058172551e-1) }}, 
+      {{ SC_(1.615062255859375000000000000000000000000e2), SC_(-1.613447265625000000000000000000000000000e2), SC_(-1.666679534912109375000000000000000000000e2), SC_(2.957088865758827952297766445373411369744e-1), SC_(7.042911134241172047702233554626588630256e-1) }}, 
+      {{ SC_(1.616351165771484375000000000000000000000e2), SC_(1.616351165771484375000000000000000000000e2), SC_(1.692530822753906250000000000000000000000e2), SC_(7.804668164082968299377228824699980687650e-1), SC_(2.195331835917031700622771175300019312350e-1) }}, 
+      {{ SC_(1.619469299316406250000000000000000000000e2), SC_(1.619631347656250000000000000000000000000e2), SC_(1.709622802734375000000000000000000000000e2), SC_(8.194965436733574620900731290907810363677e-1), SC_(1.805034563266425379099268709092189636323e-1) }}, 
+      {{ SC_(1.628569793701171875000000000000000000000e2), SC_(1.630198364257812500000000000000000000000e2), SC_(1.728768768310546875000000000000000000000e2), SC_(8.404660764783773469174485040522021093442e-1), SC_(1.595339235216226530825514959477978906558e-1) }}, 
+      {{ SC_(1.629447479248046875000000000000000000000e2), SC_(-1.645741882324218750000000000000000000000e2), SC_(-1.746045227050781250000000000000000000000e2), SC_(1.575424483959909318404851228183550185556e-1), SC_(8.424575516040090681595148771816449814444e-1) }}, 
+      {{ SC_(1.641681671142578125000000000000000000000e2), SC_(-1.805849914550781250000000000000000000000e2), SC_(-1.915462799072265625000000000000000000000e2), SC_(1.573335944854494629142736979246659337814e-1), SC_(8.426664055145505370857263020753340662186e-1) }}, 
+      {{ SC_(1.642492065429687500000000000000000000000e2), SC_(1.970990600585937500000000000000000000000e2), SC_(2.090523681640625000000000000000000000000e2), SC_(8.426987091196232350996963931516288297837e-1), SC_(1.573012908803767649003036068483711702163e-1) }}, 
+      {{ SC_(1.643806762695312500000000000000000000000e2), SC_(-2.136948699951171875000000000000000000000e2), SC_(-2.266521148681640625000000000000000000000e2), SC_(1.571073429860085281224507682808356620294e-1), SC_(8.428926570139914718775492317191643379706e-1) }}, 
+      {{ SC_(1.646915893554687500000000000000000000000e2), SC_(2.470373840332031250000000000000000000000e2), SC_(2.621127624511718750000000000000000000000e2), SC_(8.448668099691590627588855606599569135540e-1), SC_(1.551331900308409372411144393400430864460e-1) }}, 
+      {{ SC_(1.661657409667968750000000000000000000000e2), SC_(-3.323314819335937500000000000000000000000e2), SC_(-3.541530151367187500000000000000000000000e2), SC_(1.363546046209669111927130706242072700954e-1), SC_(8.636453953790330888072869293757927299046e-1) }}, 
+      {{ SC_(1.670017242431640625000000000000000000000e2), SC_(5.010051879882812500000000000000000000000e2), SC_(5.365607299804687500000000000000000000000e2), SC_(8.824746044843330736469612185701136118524e-1), SC_(1.175253955156669263530387814298863881476e-1) }}, 
+      {{ SC_(1.681434631347656250000000000000000000000e2), SC_(6.725738525390625000000000000000000000000e2), SC_(7.238276367187500000000000000000000000000e2), SC_(8.992656987013872665209365356081730016699e-1), SC_(1.007343012986127334790634643918269983301e-1) }}, 
+      {{ SC_(1.696935729980468750000000000000000000000e2), SC_(-8.484678955078125000000000000000000000000e2), SC_(-9.221135864257812500000000000000000000000e2), SC_(7.282932970219271023945143904387565677350e-2), SC_(9.271706702978072897605485609561243432265e-1) }}, 
+      {{ SC_(1.698258819580078125000000000000000000000e2), SC_(1.698258781433105468750000000000000000000e1), SC_(1.980040931701660156250000000000000000000e1), SC_(9.719470387146119542829851768946449119598e-1), SC_(2.805296128538804571701482310535508804017e-2) }}, 
+      {{ SC_(1.744857788085937500000000000000000000000e2), SC_(-4.362144470214843750000000000000000000000e1), SC_(-5.150732040405273437500000000000000000000e1), SC_(3.322995169190575236751479836974775618462e-3), SC_(9.966770048308094247632485201630252243815e-1) }}, 
+      {{ SC_(1.753515014648437500000000000000000000000e2), SC_(-8.767575073242187500000000000000000000000e1), SC_(-1.074056930541992187500000000000000000000e2), SC_(2.662223893738321424320630318453652402469e-4), SC_(9.997337776106261678575679369681546347598e-1) }}, 
+      {{ SC_(1.756861419677734375000000000000000000000e2), SC_(-1.317646026611328125000000000000000000000e2), SC_(-1.682105255126953125000000000000000000000e2), SC_(1.550232998735350754650765720581070782100e-5), SC_(9.999844976700126464924534923427941892922e-1) }}, 
+      {{ SC_(1.781806640625000000000000000000000000000e2), SC_(-1.603625946044921875000000000000000000000e2), SC_(-1.619059753417968750000000000000000000000e2), SC_(4.427510840848753942205017300207371637469e-1), SC_(5.572489159151246057794982699792628362531e-1) }}, 
+      {{ SC_(1.811584014892578125000000000000000000000e2), SC_(-1.793468170166015625000000000000000000000e2), SC_(-1.824870758056640625000000000000000000000e2), SC_(3.851955828443047286965619499537351163898e-1), SC_(6.148044171556952713034380500462648836102e-1) }}, 
+      {{ SC_(1.814729614257812500000000000000000000000e2), SC_(1.812914886474609375000000000000000000000e2), SC_(1.868789825439453125000000000000000000000e2), SC_(7.035362100484691927399429102560977978734e-1), SC_(2.964637899515308072600570897439022021266e-1) }}, 
+      {{ SC_(1.826751861572265625000000000000000000000e2), SC_(1.826751861572265625000000000000000000000e2), SC_(1.907105255126953125000000000000000000000e2), SC_(7.799873196049647286222313130314984070929e-1), SC_(2.200126803950352713777686869685015929071e-1) }}, 
+      {{ SC_(1.831471099853515625000000000000000000000e2), SC_(1.831654205322265625000000000000000000000e2), SC_(1.926689605712890625000000000000000000000e2), SC_(8.192163967452918136616703813674191971081e-1), SC_(1.807836032547081863383296186325808028919e-1) }}, 
+      {{ SC_(1.834387359619140625000000000000000000000e2), SC_(1.836221771240234375000000000000000000000e2), SC_(1.940174407958984375000000000000000000000e2), SC_(8.403035276172555322739380106234387661243e-1), SC_(1.596964723827444677260619893765612338757e-1) }}, 
+      {{ SC_(1.841749572753906250000000000000000000000e2), SC_(1.860167083740234375000000000000000000000e2), SC_(1.966119689941406250000000000000000000000e2), SC_(8.423069271382795700398439101444273937711e-1), SC_(1.576930728617204299601560898555726062289e-1) }}, 
+      {{ SC_(1.858527374267578125000000000000000000000e2), SC_(-2.044380187988281250000000000000000000000e2), SC_(-2.160265808105468750000000000000000000000e2), SC_(1.574804038174927854751974225084637112666e-1), SC_(8.425195961825072145248025774915362887334e-1) }}, 
+      {{ SC_(1.867986450195312500000000000000000000000e2), SC_(2.241583862304687500000000000000000000000e2), SC_(2.368225402832031250000000000000000000000e2), SC_(8.425392206438456186820694371845737047599e-1), SC_(1.574607793561543813179305628154262952401e-1) }}, 
+      {{ SC_(1.868021392822265625000000000000000000000e2), SC_(-2.428427734375000000000000000000000000000e2), SC_(-2.565665283203125000000000000000000000000e2), SC_(1.572680326600672177070073925543010532140e-1), SC_(8.427319673399327822929926074456989467860e-1) }}, 
+      {{ SC_(1.880148162841796875000000000000000000000e2), SC_(-2.820222167968750000000000000000000000000e2), SC_(-2.980253295898437500000000000000000000000e2), SC_(1.552789395983287090937623733357006268049e-1), SC_(8.447210604016712909062376266642993731951e-1) }}, 
+      {{ SC_(1.900444183349609375000000000000000000000e2), SC_(-3.800888366699218750000000000000000000000e2), SC_(-4.032850341796875000000000000000000000000e2), SC_(1.363857890620788955477380353547122412928e-1), SC_(8.636142109379211044522619646452877587072e-1) }}, 
+      {{ SC_(1.910035247802734375000000000000000000000e2), SC_(5.730105590820312500000000000000000000000e2), SC_(6.108234252929687500000000000000000000000e2), SC_(8.825546776651612915449270809923133302827e-1), SC_(1.174453223348387084550729190076866697173e-1) }}, 
+      {{ SC_(1.914333953857421875000000000000000000000e2), SC_(7.657335815429687500000000000000000000000e2), SC_(8.201442260742187500000000000000000000000e2), SC_(8.994307655353378788627687172889911875494e-1), SC_(1.005692344646621211372312827110088124506e-1) }}, 
+      {{ SC_(1.915013732910156250000000000000000000000e2), SC_(-9.575068359375000000000000000000000000000e2), SC_(-1.035407836914062500000000000000000000000e3), SC_(7.254550295882910100884475499526303225815e-2), SC_(9.274544970411708989911552450047369677418e-1) }}, 
+      {{ SC_(1.918582763671875000000000000000000000000e2), SC_(1.918582725524902343750000000000000000000e1), SC_(2.208179092407226562500000000000000000000e1), SC_(9.721242618485546393356290361951045322104e-1), SC_(2.787573815144536066437096380489546778959e-2) }}, 
+      {{ SC_(1.918984985351562500000000000000000000000e2), SC_(-4.797462463378906250000000000000000000000e1), SC_(-5.617157363891601562500000000000000000000e1), SC_(3.221111566392305522573892879121826455479e-3), SC_(9.967788884336076944774261071208781735445e-1) }}, 
+      {{ SC_(1.919488067626953125000000000000000000000e2), SC_(-9.597440338134765625000000000000000000000e1), SC_(-1.165421524047851562500000000000000000000e2), SC_(2.481260732563524200219933878692461610213e-4), SC_(9.997518739267436475799780066121307538390e-1) }}, 
+      {{ SC_(1.929777069091796875000000000000000000000e2), SC_(-1.447332763671875000000000000000000000000e2), SC_(-1.828341522216796875000000000000000000000e2), SC_(1.358098637444654191572655104301270829943e-5), SC_(9.999864190136255534580842734489569872917e-1) }}, 
+      {{ SC_(1.929932708740234375000000000000000000000e2), SC_(-1.736939392089843750000000000000000000000e2), SC_(-1.752710113525390625000000000000000000000e2), SC_(4.434359641618019366789276090072593648763e-1), SC_(5.565640358381980633210723909927406351237e-1) }}, 
+      {{ SC_(1.935389862060546875000000000000000000000e2), SC_(1.916035919189453125000000000000000000000e2), SC_(1.948214416503906250000000000000000000000e2), SC_(6.142723104748303441684413193877427660393e-1), SC_(3.857276895251696558315586806122572339607e-1) }}, 
+      {{ SC_(1.937735595703125000000000000000000000000e2), SC_(1.935797882080078125000000000000000000000e2), SC_(1.993231201171875000000000000000000000000e2), SC_(7.031303801855181023960454440247304541731e-1), SC_(2.968696198144818976039545559752695458269e-1) }}, 
+      {{ SC_(1.941185607910156250000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(2.023715820312500000000000000000000000000e2), SC_(7.797728872340829673174837038355921015185e-1), SC_(2.202271127659170326825162961644078984815e-1) }}, 
+      {{ SC_(1.962219390869140625000000000000000000000e2), SC_(-1.962415618896484375000000000000000000000e2), SC_(-2.060424804687500000000000000000000000000e2), SC_(1.809237828594511737114522040101156011652e-1), SC_(8.190762171405488262885477959898843988348e-1) }}, 
+      {{ SC_(1.974919281005859375000000000000000000000e2), SC_(-1.976894226074218750000000000000000000000e2), SC_(-2.084357757568359375000000000000000000000e2), SC_(1.597848828006174813168828984223774741925e-1), SC_(8.402151171993825186831171015776225258075e-1) }}, 
+      {{ SC_(1.977043151855468750000000000000000000000e2), SC_(1.996813507080078125000000000000000000000e2), SC_(2.106204223632812500000000000000000000000e2), SC_(8.422293832834955684228336504298493504347e-1), SC_(1.577706167165044315771663495701506495653e-1) }}, 
+      {{ SC_(1.985762634277343750000000000000000000000e2), SC_(-2.184338989257812500000000000000000000000e2), SC_(-2.303740386962890625000000000000000000000e2), SC_(1.575531385245673058508978138666145574355e-1), SC_(8.424468614754326941491021861333854425645e-1) }}, 
+      {{ SC_(1.988137054443359375000000000000000000000e2), SC_(2.385764617919921875000000000000000000000e2), SC_(2.516024322509765625000000000000000000000e2), SC_(8.424688825000982079679215138264048043475e-1), SC_(1.575311174999017920320784861735951956525e-1) }}, 
+      {{ SC_(1.992922668457031250000000000000000000000e2), SC_(-2.590799255371093750000000000000000000000e2), SC_(-2.732116088867187500000000000000000000000e2), SC_(1.573382255153084153679636715700757369509e-1), SC_(8.426617744846915846320363284299242630491e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(3.484269409179687500000000000000000000000e2), SC_(3.660482482910156250000000000000000000000e2), SC_(8.445224219835303698101085035756072755625e-1), SC_(1.554775780164696301898914964243927244375e-1) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(5.813642578125000000000000000000000000000e2), SC_(6.095877075195312500000000000000000000000e2), SC_(8.635682877769042305180745412047783757853e-1), SC_(1.364317122230957694819254587952216242147e-1) }}, 
+      /*
+      //
+      // These last few values are commented out, the complexity of the implementation
+      // depends upon the square of the non-centrality parameter, so these both take
+      // a long time to evaluate and are rather hard to evaluate accurately also.
+      //
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(-2.927296386718750000000000000000000000000e3), SC_(-3.009226074218750000000000000000000000000e3), SC_(1.164317566424995639445047413284130115370e-1), SC_(8.835682433575004360554952586715869884630e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(7.516195312500000000000000000000000000000e3), SC_(7.678772949218750000000000000000000000000e3), SC_(9.017566036730798342611358387622429767684e-1), SC_(9.824339632692016573886416123775702323164e-2) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(-1.154034570312500000000000000000000000000e4), SC_(-1.179905078125000000000000000000000000000e4), SC_(6.872608129209766834994044970484572985093e-2), SC_(9.312739187079023316500595502951542701491e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(-8.064482421875000000000000000000000000000e2), SC_(-8.193711547851562500000000000000000000000e2), SC_(2.389575887949156628152767472787355181112e-2), SC_(9.761042411205084337184723252721264481889e-1) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(-3.918593750000000000000000000000000000000e3), SC_(-3.985162353515625000000000000000000000000e3), SC_(1.542392032294953892149510464673239432939e-3), SC_(9.984576079677050461078504895353267605671e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(-1.000271093750000000000000000000000000000e4), SC_(-1.020245312500000000000000000000000000000e4), SC_(4.337531004895530778641649516506912837255e-5), SC_(9.999566246899510446922135835048349308716e-1) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(-4.011685937500000000000000000000000000000e4), SC_(-4.073089843750000000000000000000000000000e4), SC_(3.883382003866549840825255916580316551597e-7), SC_(9.999996116617996133450159174744083419683e-1) }}
+      */
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nct_asym.ipp b/src/boost/libs/math/test/nct_asym.ipp
new file mode 100644
index 00000000..6d6bdf1e
--- /dev/null
+++ b/src/boost/libs/math/test/nct_asym.ipp
@@ -0,0 +1,40 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 26> nct_asym = {{
+      {{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(-0.481173217296600341796875), SC_(0.1749317497754352460810908541491372795891542325487), SC_(0.8250682502245647539189091458508627204108457674513) }}, 
+      {{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(1.3978519439697265625), SC_(0.82745888213761221622777144575509830758765026825781), SC_(0.17254111786238778377222855424490169241234973174219) }}, 
+      {{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(-0.5258305072784423828125), SC_(0.13707201688604064907083148328658590547016675560101), SC_(0.86292798311395935092916851671341409452983324439899) }}, 
+      {{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(0.708383023738861083984375), SC_(0.55592460048261968604418681822217801676118984510485), SC_(0.44407539951738031395581318177782198323881015489515) }}, 
+      {{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.123167514801025390625), SC_(0.88826935840310006680843037482396692978657176631796), SC_(0.11173064159689993319156962517603307021342823368204) }}, 
+      {{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.3844356536865234375), SC_(0.93038224262142835995452986318222481740507172432515), SC_(0.069617757378571640045470136817775182594928275674854) }}, 
+      {{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(4.6750431060791015625), SC_(0.84255780194329132905115240305424746317298104246855), SC_(0.15744219805670867094884759694575253682701895753145) }}, 
+      {{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(5.042537689208984375), SC_(0.91504926091817108755289153804799207257503305462555), SC_(0.084950739081828912447108461952007927424966945374453) }}, 
+      {{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(3.3889064788818359375), SC_(0.13156163646802619543156433884136170088487556815931), SC_(0.86843836353197380456843566115863829911512443184069) }}, 
+      {{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(5.9973297119140625), SC_(0.93180682050435927369046460493686411555287073533266), SC_(0.068193179495640726309535395063135884447129264667335) }}, 
+      {{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.14560699462890625), SC_(0.91844152246389020936377208106238904518645300898785), SC_(0.081558477536109790636227918937610954813546991012154) }}, 
+      {{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.1575450897216796875), SC_(0.92022740765138483503818882082673489052943410104556), SC_(0.079772592348615164961811179173265109470565898954439) }}, 
+      {{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(31.8541412353515625), SC_(0.89253589230213680868361632253582462638850083853234), SC_(0.10746410769786319131638367746417537361149916146766) }}, 
+      {{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(32.01709747314453125), SC_(0.91970407450026572598532504589599032507374844769296), SC_(0.080295925499734274014674954104009674926251552307043) }}, 
+      {{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.045928955078125), SC_(0.15217241315852103004776349323469720103276253578469), SC_(0.84782758684147896995223650676530279896723746421531) }}, 
+      {{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.2361907958984375), SC_(0.20132472643110592660423913551748708698902279471476), SC_(0.79867527356889407339576086448251291301097720528524) }}, 
+      {{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(104.8680572509765625), SC_(0.65434556985043816570960826185482905142969403857975), SC_(0.34565443014956183429039173814517094857030596142025) }}, 
+      {{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(105.14849090576171875), SC_(0.75095977650749132960934905238656630719173158415557), SC_(0.24904022349250867039065094761343369280826841584443) }}, 
+      {{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(166.869873046875), SC_(0.28247643026063070467278298745564297946418695359089), SC_(0.71752356973936929532721701254435702053581304640911) }}, 
+      {{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(168.857147216796875), SC_(0.92099169494016061238522995952802645037178736022794), SC_(0.079008305059839387614770040471973549628212639772055) }}, 
+      {{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(279.762969970703125), SC_(0.11364543011784098836896955307019184576823123795544), SC_(0.88635456988215901163103044692980815423176876204456) }}, 
+      {{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(282.413665771484375), SC_(0.92553607281289461499104965729721028764390548597727), SC_(0.074463927187105385008950342702789712356094514022729) }}, 
+      {{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(792.31842041015625), SC_(0.5563267401667033086322021527186481547238720682263), SC_(0.4436732598332966913677978472813518452761279317737) }}, 
+      {{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(793.54827880859375), SC_(0.91489369852628004292795662749916567238372650186026), SC_(0.085106301473719957072043372500834327616273498139738) }}, 
+      {{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.01171875), SC_(0.12091797523015676375913420093212297337117969426545), SC_(0.87908202476984323624086579906787702662882030573455) }}, 
+      {{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.517578125), SC_(0.25316892936238242974380182772830364755920164172871), SC_(0.74683107063761757025619817227169635244079835827129) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/nct_small_delta.ipp b/src/boost/libs/math/test/nct_small_delta.ipp
new file mode 100644
index 00000000..5426f9be
--- /dev/null
+++ b/src/boost/libs/math/test/nct_small_delta.ipp
@@ -0,0 +1,92 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 78> nct_small_delta = {{
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(-0.043873153626918792724609375), SC_(0.48250276576722336046483816401534117826515884583867), SC_(0.51749723423277663953516183598465882173484115416133) }}, 
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.729398787021636962890625), SC_(0.76712095847007040756161950500140014007502095546645), SC_(0.23287904152992959243838049499859985992497904453355) }}, 
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.944172799587249755859375), SC_(0.82745910775138122060234718854881274437593644597231), SC_(0.17254089224861877939765281145118725562406355402769) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-1.09357059001922607421875), SC_(0.13707187615241828790447496643413251920933193961981), SC_(0.86292812384758171209552503356586748079066806038019) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-0.075724057853221893310546875), SC_(0.46981932920499526656408951192932529155640100686028), SC_(0.53018067079500473343591048807067470844359899313972) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(0.894318759441375732421875), SC_(0.8144241543253204424707276799726958127232605442998), SC_(0.1855758456746795575292723200273041872767394557002) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(-0.32331907749176025390625), SC_(0.37322681889304995092918136348422956501557638199648), SC_(0.62677318110695004907081863651577043498442361800352) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(0.900841772556304931640625), SC_(0.81616372411403034488699018804029514822710817134975), SC_(0.18383627588596965511300981195970485177289182865025) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(1.21737635135650634765625), SC_(0.88826940695840047354018486823128837280979546898275), SC_(0.11173059304159952645981513176871162719020453101725) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.608911812305450439453125), SC_(0.27129146314707937854382467984874644387201484012076), SC_(0.72870853685292062145617532015125355612798515987924) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.233737051486968994140625), SC_(0.40759456615456790965120565572754800087372105257581), SC_(0.59240543384543209034879434427245199912627894742419) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(1.0050258636474609375), SC_(0.84255777338099392090018173116713612691826495532429), SC_(0.15744222661900607909981826883286387308173504467571) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.11903965473175048828125), SC_(0.13156163653841524718807085637540033587741857268684), SC_(0.86843836346158475281192914362459966412258142731316) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.0743410587310791015625), SC_(0.14133494913380490957172969254766861098247075035799), SC_(0.85866505086619509042827030745233138901752924964201) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(0.466433703899383544921875), SC_(0.67954744448251303029682738870296370754546775710788), SC_(0.32045255551748696970317261129703629245453224289212) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-1.485649585723876953125), SC_(0.068685924351077450776106805057666756267354379116941), SC_(0.93131407564892254922389319494233324373264562088306) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-0.978404521942138671875), SC_(0.1639371522987393851111295873413950142583525211773), SC_(0.8360628477012606148888704126586049857416474788227) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(1.406603336334228515625), SC_(0.92022746964275550779312032818254511021364287700111), SC_(0.079772530357244492206879671817454889786357122998891) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.9864399433135986328125), SC_(0.16195863866320448164806483040777245446296140149356), SC_(0.83804136133679551835193516959222754553703859850644) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.2347161769866943359375), SC_(0.40721451480880048322798573509892024502193304263547), SC_(0.59278548519119951677201426490107975497806695736453) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(1.2401275634765625), SC_(0.89253588756079690951410755269677773042628883005293), SC_(0.10746411243920309048589244730322226957371116994707) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-1.1626064777374267578125), SC_(0.12249460282273418971343108523190852402322477087166), SC_(0.87750539717726581028656891476809147597677522912834) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.83689785003662109375), SC_(0.20132499540381076102236383246070664744644381565087), SC_(0.79867500459618923897763616753929335255355618434913) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.594260692596435546875), SC_(0.27616888228432564767719590034089174423793663334908), SC_(0.72383111771567435232280409965910825576206336665092) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.3970777988433837890625), SC_(0.65434494968481063069505183722213499438179132868887), SC_(0.34565505031518936930494816277786500561820867131113) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.61813831329345703125), SC_(0.73175791107603006961198160308845586981919324758164), SC_(0.26824208892396993038801839691154413018080675241836) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(1.24720668792724609375), SC_(0.8938391359252750533876681559850381133400744586929), SC_(0.1061608640747249466123318440149618866599255413071) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(-0.575498878955841064453125), SC_(0.28247696804790908448299598525508816339233446215666), SC_(0.71752303195209091551700401474491183660766553784334) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.4192900955677032470703125), SC_(0.66249792556950493924206051736760665840039674490309), SC_(0.33750207443049506075793948263239334159960325509691) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.891839683055877685546875), SC_(0.81376056011022270595841292021652342060820308429614), SC_(0.18623943988977729404158707978347657939179691570386) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.404501438140869140625), SC_(0.080084787472122488844415495242012312453561424134301), SC_(0.9199152125278775111555845047579876875464385758657) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.20737874507904052734375), SC_(0.11364315277765295082194817827847616199631048415041), SC_(0.88635684722234704917805182172152383800368951584959) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(0.8766219615936279296875), SC_(0.80965398752936883769527309841930163032620924932467), SC_(0.19034601247063116230472690158069836967379075067533) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(-0.550348579883575439453125), SC_(0.29104012336625227702044178467603355057145302194928), SC_(0.70895987663374772297955821532396644942854697805072) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(0.1416618525981903076171875), SC_(0.55632640945989957068387202865702682448619885466383), SC_(0.44367359054010042931612797134297317551380114533617) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(1.13529217243194580078125), SC_(0.87187352013277999854694556458228781398877720084173), SC_(0.12812647986722000145305443541771218601122279915827) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.669230878353118896484375), SC_(0.25167405732584667576513293514194252242977450905894), SC_(0.74832594267415332423486706485805747757022549094106) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.66450512409210205078125), SC_(0.25318348652085408643723791160561950141473919546181), SC_(0.74681651347914591356276208839438049858526080453819) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(1.37847745418548583984375), SC_(0.9159720143264452800722709073773563686088927059612), SC_(0.084027985673554719927729092622643631391107294038796) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(-0.9348537921905517578125), SC_(0.17493175360129918436210468793967574035560766123375), SC_(0.82506824639870081563789531206032425964439233876625) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(0.01098839938640594482421875), SC_(0.50438353586498884681723519205661827951453610911603), SC_(0.49561646413501115318276480794338172048546389088397) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(1.11728668212890625), SC_(0.86806405541813070462577859975991426774401640081913), SC_(0.13193594458186929537422140024008573225598359918087) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(-1.36148512363433837890625), SC_(0.086680099352107115152692238918143641020516123095345), SC_(0.91331990064789288484730776108185635897948387690466) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.1406452357769012451171875), SC_(0.55592460342263048867879490949555684169178196778873), SC_(0.44407539657736951132120509050444315830821803221127) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.4672227799892425537109375), SC_(0.6798294875609898291245772837764000326600691290926), SC_(0.3201705124390101708754227162235999673399308709074) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(-1.0526561737060546875), SC_(0.14624886521046919412989626895906939222407293206212), SC_(0.85375113478953080587010373104093060777592706793788) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(0.893787801265716552734375), SC_(0.81428177283808104910080873651678647035668255855401), SC_(0.18571822716191895089919126348321352964331744144599) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(1.478645801544189453125), SC_(0.9303822435208431945428692571159084817569960338472), SC_(0.069617756479156805457130742884091518243003966152798) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(-1.39286124706268310546875), SC_(0.081830311952030386950958528699491776784138181119043), SC_(0.91816968804796961304904147130050822321586181888096) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(-1.2086009979248046875), SC_(0.11340736887699187293262662688976277518450464408822), SC_(0.88659263112300812706737337311023722481549535591178) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(1.37252414226531982421875), SC_(0.91504925497864847245117739324928896561477482544626), SC_(0.084950745021351527548822606750711034385225174553738) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(-0.4161103665828704833984375), SC_(0.33866183595792209794153109645293698407273819046339), SC_(0.66133816404207790205846890354706301592726180953661) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(1.48221313953399658203125), SC_(0.93085719135108164633155760685918105899871704889272), SC_(0.069142808648918353668442393140818941001282951107282) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(1.4893915653228759765625), SC_(0.93180685365187513633521575127608504580804034566387), SC_(0.068193146348124863664784248723914954191959654336133) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(0.97038853168487548828125), SC_(0.83406983375988250630225384732975974640680046980811), SC_(0.16593016624011749369774615267024025359319953019189) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(1.04740297794342041015625), SC_(0.85253966501367083089932755397065936180784831841043), SC_(0.14746033498632916910067244602934063819215168158957) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(1.394680500030517578125), SC_(0.91844163480163429797669181827603427319262632792639), SC_(0.08155836519836570202330818172396572680737367207361) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(-0.864196956157684326171875), SC_(0.19373160667651853950263712162705732018958798823552), SC_(0.80626839332348146049736287837294267981041201176448) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(0.965739905834197998046875), SC_(0.83290531317191357846564987870102532533516215684712), SC_(0.16709468682808642153435012129897467466483784315288) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(1.403114795684814453125), SC_(0.91970421907553442085361472793817522857066471337247), SC_(0.080295780924465579146385272061824771429335286627532) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(-1.02712547779083251953125), SC_(0.15217237530683021166365655887378113611916101492035), SC_(0.84782762469316978833634344112621886388083898507965) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(0.584521234035491943359375), SC_(0.72055327773828199091011436164660463547526546920033), SC_(0.27944672226171800908988563835339536452473453079967) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(1.30201494693756103515625), SC_(0.90353832363228799912881142113287687617562615688939), SC_(0.096461676367712000871188578867123123824373843110611) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(-1.12434637546539306640625), SC_(0.13041072232576106505759370992705369062839357686989), SC_(0.86958927767423893494240629007294630937160642313011) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(0.544183909893035888671875), SC_(0.70680629772915567856214841102838580323130470572332), SC_(0.29319370227084432143785158897161419676869529427668) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(0.67762219905853271484375), SC_(0.75096096245833210774398163041302339076159056835009), SC_(0.24903903754166789225601836958697660923840943164991) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(-0.54846096038818359375), SC_(0.29160515445821290109615211658532752777534929659883), SC_(0.70839484554178709890384788341467247222465070340117) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(0.53644597530364990234375), SC_(0.70409170751851223796496285006888224216192038796279), SC_(0.29590829248148776203503714993111775783807961203721) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(1.4120190143585205078125), SC_(0.92099239916220010887823964338845316029716642789693), SC_(0.079007600837799891121760356611546839702833572103074) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(-0.30330073833465576171875), SC_(0.38064607328786833329129434720920126565403722909458), SC_(0.61935392671213166670870565279079873434596277090542) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(0.79173374176025390625), SC_(0.78560096142991773065052672400091405076291446132892), SC_(0.21439903857008226934947327599908594923708553867108) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(1.44381272792816162109375), SC_(0.92553610113350895085593676928879838003706656547384), SC_(0.074463898866491049144063230711201619962933434526164) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(0.774176061153411865234375), SC_(0.78030402643947053525294588392940945045026100828356), SC_(0.21969597356052946474705411607059054954973899171644) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.35162198543548583984375), SC_(0.91159882995045713756961834701249644548104352714108), SC_(0.088401170049542862430381652987503554518956472858921) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.37245666980743408203125), SC_(0.91489058742913963764590136168317114106740895702093), SC_(0.085109412570860362354098638316828858932591042979068) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-1.1693308353424072265625), SC_(0.12091706455667160284074085853324054976433257083915), SC_(0.87908293544332839715925914146675945023566742916085) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-0.02714899368584156036376953125), SC_(0.48873822149228296214357093419224183546582949284801), SC_(0.51126177850771703785642906580775816453417050715199) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(0.723025619983673095703125), SC_(0.76483486081732755088858031522414884241973724382194), SC_(0.23516513918267244911141968477585115758026275617806) }}
+   }};
+//#undef SC_
+
+
diff --git a/src/boost/libs/math/test/negative_binomial_quantile.ipp b/src/boost/libs/math/test/negative_binomial_quantile.ipp
new file mode 100644
index 00000000..c6c40d13
--- /dev/null
+++ b/src/boost/libs/math/test/negative_binomial_quantile.ipp
@@ -0,0 +1,802 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 792> negative_binomial_quantile_data = {{
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.097540400922298431396484375), SC_(11.568381290037563253305975817351444024377036234904), SC_(49.67581419477884086070549390307050513757197652133) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(12.977136041273636067294825573363051160267257422387), SC_(46.43808301937089644496373095130068129633820080023) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(13.355446548799362499196093574014767375702882517351), SC_(45.626103029359612367556766004407934151298781150048) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.188381969928741455078125), SC_(15.52940284708738793480132106889874510563268887437), SC_(41.360131052208165673316312211602173007116266843573) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(16.764430009390827897971671993143269955166674809408), SC_(39.199062325902508267047473072514261193252696080063) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.278498232364654541015625), SC_(18.827330684864743271502385688632742201801058689866), SC_(35.937947666898633946380128330076651597919337173838) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.308167040348052978515625), SC_(19.859834305054294539273728119716020535354199181236), SC_(34.447725391983382465551236140743414030393753548228) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.546881496906280517578125), SC_(28.286804773212901440345106101213208895684167630136), SC_(24.86330569705991784268291712045956516535854891059) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.54722058773040771484375), SC_(28.299740373205303221140202770183676832612364871957), SC_(24.851358289573499476668996699249466707769441766967) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.6323592662811279296875), SC_(31.73736778560021399190439490465225517649411428882), SC_(21.903093030340690478633356609280583765345155546618) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(41.581048291789996379031836662067110664529508417554), SC_(15.408543519764343109524257516360446517499916058047) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(43.10384701106176229875584955487632776474324453572), SC_(14.601011028162507643960564673392801813634068117566) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(50.094535137629288573734520653142480510400961256303), SC_(11.397121631223656712589512277532338441195467483516) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(51.098599887179268255648450676362082449552339318083), SC_(10.996003692440138313901526209414132521171300944181) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(62.716516078499341651738309899935421006173913497388), SC_(7.1855867886566362977974128843005441031906018669252) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.992881298065185546875), SC_(78.135892109397114634653055502437231742885628698282), SC_(3.8338142963160007269966960400281352929892103698611) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.097540400922298431396484375), SC_(10.624056775155116321252971830163132523696456706443), SC_(46.168116272573933025564829848047689892749815610812) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(11.937594680205310062450054769420385143853396936078), SC_(43.147864152428529071931027785565229425525762378092) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(12.290355004920375860856813963510658282713119461282), SC_(42.39042769495045299438101593160196987419972593678) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.188381969928741455078125), SC_(14.317612777721405445071965596006895653029592961372), SC_(38.411036900535023554001380453088305992611092832638) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(15.469376627895497352658331319256284808359682715295), SC_(36.395161073493776973362594888209284880517853786539) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.278498232364654541015625), SC_(17.393291825275618145260282795413109030294855088256), SC_(33.353171765069675931417999475586842722093226138689) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.308167040348052978515625), SC_(18.356266419524471801981332379322445883128639508671), SC_(31.963094506992116634224442588913436038463193120154) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.546881496906280517578125), SC_(26.216303876726192697224223153981767281844891492988), SC_(23.023033560254770287526386240846949403245291727374) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.54722058773040771484375), SC_(26.228369734253914995541211877634676470672322247943), SC_(23.011889788038572395363617637127196883456914071844) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.6323592662811279296875), SC_(29.434900070748812569225007134187585348456304499303), SC_(20.261985460034048292288157734398458612682708046451) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(38.617112313927460960335145788267069989607179492264), SC_(14.204904197096488126288100410890126358086514033082) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(40.03760824455834863265835710080111292324719085546), SC_(13.451845203426820871126354466598672068957015235961) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(46.558712784341762721625765865482997761343544432876), SC_(10.464381400829619482306015575858157249227101387963) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(47.495338004142394072176759174814040313522643424318), SC_(10.090404457802057197979908185083000391010167615374) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(58.332998984396769920995370446832741766431808482186), SC_(6.5387027857285630793165709885860007348429617492412) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.992881298065185546875), SC_(72.716963016212538373008925002498861848899452883834), SC_(3.4174834799389700863014049302100106995335881681039) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.097540400922298431396484375), SC_(0.0), SC_(1.9547937327529084415676231401628831702037954903797) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(1.7041307252991781679323580074723287867760045629066) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(0.0), SC_(1.6414748306133560405163701394428396689931747262996) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.188381969928741455078125), SC_(0.0), SC_(1.3139080330820788064640015554307117317368340089595) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.22103404998779296875), SC_(0.0), SC_(1.1491765685114908753868077895933142837396779546823) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.278498232364654541015625), SC_(0.0), SC_(0.90250331040229883092083238887191323216954389922384) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.308167040348052978515625), SC_(0.0), SC_(0.7906844894303203180025716400800690704614692491791) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.546881496906280517578125), SC_(0.33643388821772044881959233531270322037166163378379), SC_(0.091735147880207113465851696897079149688903180912513) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.54722058773040771484375), SC_(0.33737090254970571341079223904551029855198330085961), SC_(0.090894013814592825141609737324743482898065780375321) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.6323592662811279296875), SC_(0.58906674919926080634908632250576153655308004321212), SC_(0.0) }}, 
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+      {{ SC_(92.12715911865234375), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(555.7699682791096595070522705490151388337394549222), SC_(710.99020051284902274966816123569081797932455817849) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(695.49222053797815159200911935480497353148095013503), SC_(569.25268928425558406945306080227920795830451419404) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(701.40510314921338379917059378749609952055501071696), SC_(564.06295603655085880906091241870585168494052904939) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(727.39309050677422957306429713837680329272131489575), SC_(541.91252370519847454593654600378600637832335000814) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(770.46954529961494848185047056383150010444353223955), SC_(507.41311450703861648724251603792203001218333121348) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(513.06845138522271366569160024324789609878200788382), SC_(663.10109205711265433940184144464475811811270903286) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(515.48813712112403149425031417057097191130142374963), SC_(660.27150265202113991977938480183032594525807062454) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(645.81527632505576569591487160164810320411900643227), SC_(528.06395553367983169635827530202769879115321852193) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(651.33069615193245584617400711329803812367616882782), SC_(523.22329541034066454305251143509915890149928254503) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(675.57187157983422688213318255280673014565403799446), SC_(502.56288662267651518990751546488087921916015283741) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(715.75320453671706042980578052637869102287673375099), SC_(470.38468359580139568995640348917589246520510201977) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(14.758919664363396478281568106218817927948329904367), SC_(26.288180326306165501179409955628086520199635672555) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(14.938579864105660666511213603402537968109417789605), SC_(26.065012437534724617651938036133539676956436820288) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(24.927599829123843133576503663633090549517851151139), SC_(15.876493126091009319691661146561222960653188841038) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(25.361001436225663229460354127286038714506547009422), SC_(15.514662382720368120424791913788512283259887946042) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(27.273745324966993044574586686603457773527136891786), SC_(13.982042769871186416350255670518588253697924622787) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(30.469800919851376723161756532600568182790062738839), SC_(11.637550121554691574118595713674314738525094567757) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(12.467420989330169784808554599436886461299502952278), SC_(23.079625774899778808028313882200611939110164668528) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(12.631890123927201204761585470570704884383152082692), SC_(22.87340223722446661623001987943346192495663124139) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(21.822720066251030102419232582491070862454292414274), SC_(13.491128416521714294347417960881275967576427284246) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(22.222999078351180087401304357517203517359656917419), SC_(13.159527345617945825675114211463534999097699448474) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(23.990630669518946192102064187397126829115795437605), SC_(11.756711995198832863026678437285810280807776845707) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(26.947655103541120960375280057907325148397322822006), SC_(9.6173168408220144467674927871179150470698539789327) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(5.4538193319736142740164311787584242237840004561015), SC_(12.830284613921795871162495072288272207404727645874) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(5.56425533483261753437400077190505932981823153677), SC_(12.683519483212207922479172171596295789157127184233) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(11.937315175579431174388641286127142287473068132514), SC_(6.1439901513771098381342117071178465080694244670914) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(12.221285499963922380327952336460750199909932925495), SC_(5.9197198911134598796256402200026499320945029942917) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(13.479753436528949778218818924466018443603252329146), SC_(4.9787316567680169164760463300453838990905264488001) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(15.599301033472576832749707723841953771519913283776), SC_(3.5730213735811406301487103247675045909679942160226) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(0.54693702104896340676770870351785027652089624451382), SC_(4.4749974873298243047715212940538396207571326188943) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(0.59852229259601578140205390739929228720474998682566), SC_(4.3908514588203478301305015017568796195470327513194) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(3.9655537583654966363547957422295326080334084928664), SC_(0.87502311861630798063580935268468363098503146993293) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(4.1268899058228638237672520120171239938716512936606), SC_(0.76697387080780410242928525952810700834268814837358) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(4.8491960557963980035292148074528431720035358814699), SC_(0.3294894953986609916033336626015524599685183842467) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(6.0888794890331687161400088157347320247735404922968), SC_(0.0) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(1731.9472261440476649223465153309330130218413488263), SC_(2008.6508614482898537589120267609649496227106232271) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(1736.5657188363527475950980149268636394029462377856), SC_(2003.5929048812123568598412541899222837974710430322) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(1977.6658673375844247879890881951720880388365161323), SC_(1760.4768198171724421292970489746793096978268967189) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(1987.5748594608302442841747545677159525079523245726), SC_(1751.2912055326039226777743030902590011897101925503) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(2030.8783270970520646604300718973721137858224679932), SC_(1711.8267801508003405716493887320367033273610294175) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(2101.8113422970922083642790340601954025169695424125), SC_(1649.4758057819173329762151299386537052435298561197) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(1606.9588926170896846656483498669616920264800063803), SC_(1865.057452017667176593967617721748030174574264553) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(1611.2667735720526275769754427075345791326588821219), SC_(1860.3395146496086474589192537460496493858774855093) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(1836.1554479864639370648835563618943915719578810277), SC_(1633.56980365889531443250244303087265264199083508) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(1845.3982911408671590706536085656002496777088731952), SC_(1625.0019321861851545406845067942874599651470621026) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(1885.7907110481644515101822055156909400229778888105), SC_(1588.191658721632658396114548288332485386501979879) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(1951.9556388864961118467559147283521688612466094879), SC_(1530.0344949644168449167765519849025766327756184264) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(51.503721941681047189668059038480794252231740904069), SC_(71.360223781060499173547846106290476517830049479487) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(51.829056034111796423875447973035142234788106480785), SC_(70.99148267506361758813861884362168309942833447231) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(69.104281405069657731505451366525028624435678534001), SC_(53.517167321218393705996392789877790658918806192461) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(69.824954950675200362960955162147776517176019826696), SC_(52.867927614647648258025590068385625191365558659749) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(72.982855186913545331380652454483987653281750601456), SC_(50.08923843424186370264772256663907271895697988192) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(78.183695006696982291565746619212447845869116855387), SC_(45.736749832811447970557694445419286643307911857461) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(44.177738587348597492185295632081119882763555344988), SC_(62.458577106278160523290529921712043695082904324879) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(44.476392366774277795103754104395401317214357006499), SC_(62.118285144987383462995105244146148228230086342889) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(60.377091401302131366299140420937567125788560470436), SC_(46.02661418142873125689282953102477300265575172496) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(61.041927204443486505617423941542288870758355052458), SC_(45.430298472888491006364148499244007010567862887573) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(63.956317317172836031691627567406336902394221150367), SC_(42.879669882871641505234380846022342455357840826787) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(68.759945784170108399452621965412641264173823351731), SC_(38.889942400075882510189082009569162251302936255753) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(21.489496587266890076517016454951601933868240710191), SC_(34.21419151204538642582501073593898455181225393677) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(21.693684376277839805051109736192556966243931278661), SC_(33.9738887895006144506312349546109034434543780342) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(32.746018517690654246567264816843784711545696390601), SC_(22.755946481269646466611582848763719170337310131891) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(33.214512480133603302329410116305283062246842134753), SC_(22.346866227457822973178099650153865406868569125644) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(35.273093826701032451443765605959004625391699421517), SC_(20.603814129178545613790080798274981448289703629005) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(38.682163065413445271801733134293205558716062791966), SC_(17.901424501093686966740632922099917275901391863203) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(4.8860982307362946848490148677021209303963709988433), SC_(11.700973803207663097096356923398241331317568902751) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(4.9887446454577528986006399833823374787746289587588), SC_(11.566258084594318426060043263571263743668198571926) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(10.880759501342490984683807982974895981350858245686), SC_(5.5273280527774480805413749184523466447940455089765) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(11.141738049641109754624772567404173364587779651847), SC_(5.3190303970916925333893252428450932703036838979127) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(12.296689997181380679405006454997551301575272020897), SC_(4.4443542423997783257006693663771333961825154928459) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(14.235964125170580443450965323386985634646137027791), SC_(3.1360623190240134481707711472606441020054701402056) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/noeh_support.cpp b/src/boost/libs/math/test/noeh_support.cpp
new file mode 100644
index 00000000..eee1d698
--- /dev/null
+++ b/src/boost/libs/math/test/noeh_support.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/config.hpp>
+#include <iostream>
+#include <iomanip>
+#include <cstdlib>
+
+
+#ifdef BOOST_NO_EXCEPTIONS
+
+namespace boost {
+
+   void throw_exception(const std::exception& e)
+   {
+      std::cout << e.what() << std::endl;
+      std::abort();
+   }
+
+
+}
+
+#endif
diff --git a/src/boost/libs/math/test/norms_test.cpp b/src/boost/libs/math/test/norms_test.cpp
new file mode 100644
index 00000000..266d6d92
--- /dev/null
+++ b/src/boost/libs/math/test/norms_test.cpp
@@ -0,0 +1,912 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#include <cmath>
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <limits>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/norms.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using std::abs;
+using std::pow;
+using std::sqrt;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+using boost::math::tools::lp_norm;
+using boost::math::tools::l1_norm;
+using boost::math::tools::l2_norm;
+using boost::math::tools::sup_norm;
+using boost::math::tools::lp_distance;
+using boost::math::tools::l1_distance;
+using boost::math::tools::l2_distance;
+using boost::math::tools::sup_distance;
+using boost::math::tools::total_variation;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+// To stress test, set global_seed = 0, global_size = huge.
+static const constexpr size_t global_seed = 834;
+static const constexpr size_t global_size = 64;
+
+template<class T>
+std::vector<T> generate_random_vector(size_t size, size_t seed)
+{
+    if (seed == 0)
+    {
+        std::random_device rd;
+        seed = rd();
+    }
+    std::vector<T> v(size);
+
+    std::mt19937 gen(seed);
+
+    if constexpr (std::is_floating_point<T>::value)
+    {
+        std::normal_distribution<T> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (std::is_integral<T>::value)
+    {
+        // Rescaling by larger than 2 is UB!
+        std::uniform_int_distribution<T> dis(std::numeric_limits<T>::lowest()/2, (std::numeric_limits<T>::max)()/2);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (boost::is_complex<T>::value)
+    {
+        std::normal_distribution<typename T::value_type> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_complex)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_floating_point)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else
+    {
+        BOOST_ASSERT_MSG(false, "Could not identify type for random vector generation.");
+        return v;
+    }
+}
+
+
+template<class Real>
+void test_lp()
+{
+    Real tol = 50*std::numeric_limits<Real>::epsilon();
+
+    std::array<Real, 3> u{1,0,0};
+    Real l3 = lp_norm(u.begin(), u.end(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    u[0] = -8;
+    l3 = lp_norm(u.cbegin(), u.cend(), 3);
+    BOOST_TEST(abs(l3 - 8) < tol);
+
+    std::vector<Real> v(500);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = 7;
+    }
+    Real l8 = lp_norm(v, 8);
+    Real expected = 7*pow(v.size(), static_cast<Real>(1)/static_cast<Real>(8));
+    BOOST_TEST(abs(l8 - expected) < tol*abs(expected));
+
+    // Does it work with ublas vectors?
+    // Does it handle the overflow of intermediates?
+    boost::numeric::ublas::vector<Real> w(4);
+    Real bignum = sqrt((std::numeric_limits<Real>::max)())/256;
+    for (size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = bignum;
+    }
+    Real l20 = lp_norm(w.cbegin(), w.cend(), 4);
+    expected = bignum*pow(w.size(), static_cast<Real>(1)/static_cast<Real>(4));
+    BOOST_TEST(abs(l20 - expected) < tol*expected);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+
+template<class Complex>
+void test_complex_lp()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 50*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,0}, {0,0}};
+    Real l3 = lp_norm(v.cbegin(), v.cend(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    l3 = lp_norm(v, 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+template<class Z>
+void test_integer_lp()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+
+    std::array<Z, 3> u{1,0,0};
+    double l3 = lp_norm(u.begin(), u.end(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    auto v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+template<class Real>
+void test_lp_distance()
+{
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+
+    std::vector<Real> u{1,0,0};
+    std::vector<Real> v{0,0,0};
+
+    Real dist = lp_distance(u,u, 3);
+    BOOST_TEST(abs(dist) < tol);
+
+    dist = lp_distance(u,v, 3);
+    BOOST_TEST(abs(dist - 1) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    u = generate_random_vector<Real>(global_size, global_seed+1);
+    Real dist1 = lp_distance(u, v, 7);
+    Real dist2 = lp_distance(v, u, 7);
+
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_lp_distance()
+{
+    using Real = typename Complex::value_type;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+
+    std::vector<Complex> u{{1,0},{0,0},{0,0}};
+    std::vector<Complex> v{{0,0},{0,0},{0,0}};
+
+    Real dist = boost::math::tools::lp_distance(u,u, 3);
+    BOOST_TEST(abs(dist) < tol);
+
+    dist = boost::math::tools::lp_distance(u,v, 3);
+    BOOST_TEST(abs(dist - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    u = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = lp_distance(u, v, 7);
+    Real dist2 = lp_distance(v, u, 7);
+
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Z>
+void test_integer_lp_distance()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+
+    std::array<Z, 3> u{1,0,0};
+    std::array<Z, 3> w{0,0,0};
+    double l3 = lp_distance(u, w, 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    auto v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    auto s = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = lp_distance(v, s, 7);
+    double dist2 = lp_distance(s, v, 7);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist2);
+}
+
+
+template<class Z>
+void test_integer_total_variation()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1};
+    double tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, 0);
+
+    v[1] = 2;
+    tv = boost::math::tools::total_variation(v.begin(), v.end());
+    BOOST_TEST_EQ(tv, 1);
+
+    v.resize(16);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i;
+    }
+
+    tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, v.size() -1);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = i*i;
+    }
+
+    tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, (v.size() - 1)*(v.size() - 1));
+
+    // Work with std::array?
+    std::array<Z, 2> w{1,1};
+    tv = boost::math::tools::total_variation(w);
+    BOOST_TEST_EQ(tv,0);
+
+    std::array<Z, 4> u{1, 2, 1, 2};
+    tv = boost::math::tools::total_variation(u);
+    BOOST_TEST_EQ(tv, 3);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double tv1 = 2*total_variation(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double tv2 = total_variation(v);
+    BOOST_TEST(abs(tv1 - tv2) < tv1*eps);
+}
+
+template<class Real>
+void test_total_variation()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1};
+    Real tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(tv >= 0 && abs(tv) < tol);
+
+    tv = total_variation(v);
+    BOOST_TEST(tv >= 0 && abs(tv) < tol);
+
+    v[1] = 2;
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - 1) < tol);
+
+    v.resize(50);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i;
+    }
+
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - (v.size() -1)) < tol);
+
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i*i;
+    }
+
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - (v.size() - 1)*(v.size() - 1)) < tol);
+
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real tv1 = scale*total_variation(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real tv2 = total_variation(v);
+    BOOST_TEST(abs(tv1 - tv2) < tol*tv1);
+}
+
+template<class Real>
+void test_sup_norm()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{-2,1,0};
+    Real s = boost::math::tools::sup_norm(v.begin(), v.end());
+    BOOST_TEST(abs(s - 2) < tol);
+
+    s = boost::math::tools::sup_norm(v);
+    BOOST_TEST(abs(s - 2) < tol);
+
+    // Work with std::array?
+    std::array<Real, 3> w{-2,1,0};
+    s = boost::math::tools::sup_norm(w);
+    BOOST_TEST(abs(s - 2) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real sup1 = scale*sup_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < tol*sup1);
+}
+
+template<class Z>
+void test_integer_sup_norm()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{2,1,0};
+    Z s = sup_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(s, 2);
+
+    s = sup_norm(v);
+    BOOST_TEST_EQ(s,2);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double sup1 = 2*sup_norm(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < sup1*eps);
+}
+
+template<class Complex>
+void test_complex_sup_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> w{{0,-8}, {1,1}, {3,2}};
+    Real s = sup_norm(w.cbegin(), w.cend());
+    BOOST_TEST(abs(s-8) < tol);
+
+    s = sup_norm(w);
+    BOOST_TEST(abs(s-8) < tol);
+
+    auto v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real sup1 = scale*sup_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < tol*sup1);
+}
+
+template<class Real>
+void test_l0_pseudo_norm()
+{
+    std::vector<Real> v{0,0,1};
+    size_t count = boost::math::tools::l0_pseudo_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(count, 1);
+
+    // Compiles with cbegin()/cend()?
+    count = boost::math::tools::l0_pseudo_norm(v.cbegin(), v.cend());
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::l0_pseudo_norm(v);
+    BOOST_TEST_EQ(count, 1);
+
+    std::array<Real, 3> w{0,0,1};
+    count = boost::math::tools::l0_pseudo_norm(w);
+    BOOST_TEST_EQ(count, 1);
+}
+
+template<class Complex>
+void test_complex_l0_pseudo_norm()
+{
+    std::vector<Complex> v{{0,0}, {0,0}, {1,0}};
+    size_t count = boost::math::tools::l0_pseudo_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::l0_pseudo_norm(v);
+    BOOST_TEST_EQ(count, 1);
+}
+
+template<class Z>
+void test_hamming_distance()
+{
+    std::vector<Z> v{1,2,3};
+    std::vector<Z> w{1,2,4};
+    size_t count = boost::math::tools::hamming_distance(v, w);
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::hamming_distance(v, v);
+    BOOST_TEST_EQ(count, 0);
+}
+
+template<class Real>
+void test_l1_norm()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real l1 = l1_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = l1_norm(v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    std::array<Real, 3> w{1,1,1};
+    l1 = l1_norm(w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l1_1 = scale*l1_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l1_2 = l1_norm(v);
+    BOOST_TEST(abs(l1_1 - l1_2) < tol*l1_1);
+}
+
+template<class Z>
+void test_integer_l1_norm()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    Z l1 = boost::math::tools::l1_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(l1, 3);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double l1_1 = 2*l1_norm(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l1_2 = l1_norm(v);
+    BOOST_TEST(l1_1 > 0);
+    BOOST_TEST(l1_2 > 0);
+    if (abs(l1_1 - l1_2) > 2*l1_1*eps)
+    {
+        std::cout << std::setprecision(std::numeric_limits<double>::digits10);
+        std::cout << "L1_1 = " << l1_1 << "\n";
+        std::cout << "L1_2 = " << l1_2 << "\n";
+        BOOST_TEST(abs(l1_1 - l1_2) < 2*l1_1*eps);
+    }
+}
+
+template<class Complex>
+void test_complex_l1_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}};
+    Real l1 = l1_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = l1_norm(v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l1_1 = scale*l1_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l1_2 = l1_norm(v);
+    BOOST_TEST(abs(l1_1 - l1_2) < tol*l1_1);
+}
+
+template<class Real>
+void test_l1_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,2,3};
+    std::vector<Real> w{1,1,1};
+    Real l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    l1 = boost::math::tools::l1_distance(w, v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = boost::math::tools::l1_distance(v, w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    w = generate_random_vector<Real>(global_size, global_seed+1);
+    Real dist1 = l1_distance(v, w);
+    Real dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Z>
+void test_integer_l1_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,2,3};
+    std::vector<Z> w{1,1,1};
+    double l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    l1 = boost::math::tools::l1_distance(w, v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = boost::math::tools::l1_distance(v, w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = l1_distance(v, w);
+    double dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_l1_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}};
+    Real l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    std::vector<Complex> w{{2,0}, {0,1},{0,-1}};
+    l1 = boost::math::tools::l1_distance(v.cbegin(), v.cend(), w.cbegin());
+    BOOST_TEST(abs(l1 - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = l1_distance(v, w);
+    Real dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Real>
+void test_l2_norm()
+{
+    using std::sqrt;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    Real l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    l2 = boost::math::tools::l2_norm(v);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    std::array<Real, 4> w{1,1,1,1};
+    l2 = boost::math::tools::l2_norm(w);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    Real bignum = 4*sqrt((std::numeric_limits<Real>::max)());
+    v[0] = bignum;
+    v[1] = 0;
+    v[2] = 0;
+    v[3] = 0;
+    l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - bignum) < tol*l2);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l2_2 = l2_norm(v);
+    BOOST_TEST(l2_1 > 0);
+    BOOST_TEST(l2_2 > 0);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Z>
+void test_integer_l2_norm()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    double l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l2_2 = l2_norm(v);
+    BOOST_TEST(l2_1 > 0);
+    BOOST_TEST(l2_2 > 0);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Complex>
+void test_complex_l2_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    l2 = boost::math::tools::l2_norm(v);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l2_2 = l2_norm(v);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Real>
+void test_l2_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    Real l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    auto w = generate_random_vector<Real>(global_size, global_seed + 1);
+    Real dist1 = l2_distance(v, w);
+    Real dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Z>
+void test_integer_l2_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    double l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    auto w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = l2_distance(v, w);
+    double dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_l2_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    auto w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = l2_distance(v, w);
+    Real dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Real>
+void test_sup_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    std::vector<Real> w{0,0,0,0};
+    Real sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+    sup = boost::math::tools::sup_distance(v, w);
+    BOOST_TEST(abs(sup -1) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    w = generate_random_vector<Real>(global_size, global_seed + 1);
+    Real dist1 = sup_distance(v, w);
+    Real dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Z>
+void test_integer_sup_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    std::vector<Z> w{0,0,0,0};
+    double sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+
+    sup = boost::math::tools::sup_distance(v, w);
+    BOOST_TEST(abs(sup -1) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = sup_distance(v, w);
+    double dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_sup_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    auto w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = sup_distance(v, w);
+    Real dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+int main()
+{
+    test_l0_pseudo_norm<unsigned>();
+    test_l0_pseudo_norm<int>();
+    test_l0_pseudo_norm<float>();
+    test_l0_pseudo_norm<double>();
+    test_l0_pseudo_norm<long double>();
+    test_l0_pseudo_norm<cpp_bin_float_50>();
+
+    test_complex_l0_pseudo_norm<std::complex<float>>();
+    test_complex_l0_pseudo_norm<std::complex<double>>();
+    test_complex_l0_pseudo_norm<std::complex<long double>>();
+    test_complex_l0_pseudo_norm<cpp_complex_50>();
+
+    test_hamming_distance<int>();
+    test_hamming_distance<unsigned>();
+
+    test_l1_norm<float>();
+    test_l1_norm<double>();
+    test_l1_norm<long double>();
+    test_l1_norm<cpp_bin_float_50>();
+
+    test_integer_l1_norm<int>();
+    test_integer_l1_norm<unsigned>();
+
+    test_complex_l1_norm<std::complex<float>>();
+    test_complex_l1_norm<std::complex<double>>();
+    test_complex_l1_norm<std::complex<long double>>();
+    test_complex_l1_norm<cpp_complex_50>();
+
+    test_l1_distance<float>();
+    test_l1_distance<cpp_bin_float_50>();
+
+    test_integer_l1_distance<int>();
+    test_integer_l1_distance<unsigned>();
+
+    test_complex_l1_distance<std::complex<float>>();
+    test_complex_l1_distance<cpp_complex_50>();
+
+    test_complex_l2_norm<std::complex<float>>();
+    test_complex_l2_norm<std::complex<double>>();
+    test_complex_l2_norm<std::complex<long double>>();
+    test_complex_l2_norm<cpp_complex_50>();
+
+    test_l2_norm<float>();
+    test_l2_norm<double>();
+    test_l2_norm<long double>();
+    test_l2_norm<cpp_bin_float_50>();
+
+    test_integer_l2_norm<int>();
+    test_integer_l2_norm<unsigned>();
+
+    test_l2_distance<double>();
+    test_l2_distance<cpp_bin_float_50>();
+
+    test_integer_l2_distance<int>();
+    test_integer_l2_distance<unsigned>();
+
+    test_complex_l2_distance<std::complex<double>>();
+    test_complex_l2_distance<cpp_complex_50>();
+
+    test_lp<float>();
+    test_lp<double>();
+    test_lp<long double>();
+    test_lp<cpp_bin_float_50>();
+
+    test_complex_lp<std::complex<float>>();
+    test_complex_lp<std::complex<double>>();
+    test_complex_lp<std::complex<long double>>();
+    test_complex_lp<cpp_complex_50>();
+
+    test_integer_lp<int>();
+    test_integer_lp<unsigned>();
+
+    test_lp_distance<double>();
+    test_lp_distance<cpp_bin_float_50>();
+
+    test_complex_lp_distance<std::complex<double>>();
+    test_complex_lp_distance<cpp_complex_50>();
+
+    test_integer_lp_distance<int>();
+    test_integer_lp_distance<unsigned>();
+
+    test_sup_norm<float>();
+    test_sup_norm<double>();
+    test_sup_norm<long double>();
+    test_sup_norm<cpp_bin_float_50>();
+
+    test_integer_sup_norm<int>();
+    test_integer_sup_norm<unsigned>();
+
+    test_complex_sup_norm<std::complex<float>>();
+    test_complex_sup_norm<std::complex<double>>();
+    test_complex_sup_norm<std::complex<long double>>();
+    test_complex_sup_norm<cpp_complex_50>();
+
+    test_sup_distance<double>();
+    test_sup_distance<cpp_bin_float_50>();
+
+    test_integer_sup_distance<int>();
+    test_integer_sup_distance<unsigned>();
+
+    test_complex_sup_distance<std::complex<double>>();
+    test_complex_sup_distance<cpp_complex_50>();
+
+    test_total_variation<float>();
+    test_total_variation<double>();
+    test_total_variation<long double>();
+    test_total_variation<cpp_bin_float_50>();
+
+    test_integer_total_variation<uint32_t>();
+    test_integer_total_variation<int>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/ntl_concept_check.cpp b/src/boost/libs/math/test/ntl_concept_check.cpp
new file mode 100644
index 00000000..2142bca3
--- /dev/null
+++ b/src/boost/libs/math/test/ntl_concept_check.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2007-8.
+//  Copyright Paul A. Bristow 2009, 2011
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that boost::math::ntl::RR meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+#endif
+
+
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/bindings/rr.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(boost::math::ntl::RR());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<boost::math::ntl::RR>));
+}
+
diff --git a/src/boost/libs/math/test/octonion_test.cpp b/src/boost/libs/math/test/octonion_test.cpp
new file mode 100644
index 00000000..03c49484
--- /dev/null
+++ b/src/boost/libs/math/test/octonion_test.cpp
@@ -0,0 +1,775 @@
+// test file for octonion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+
+#include <boost/math/octonion.hpp>
+
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+DEFINE_TYPE_NAME(long double);
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+typedef boost::mpl::list<float,double,long double>  test_types;
+#else
+typedef boost::mpl::list<float,double>  test_types;
+#endif
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+#if BOOST_WORKAROUND(__GNUC__, < 3)
+    // gcc 2.x ignores function scope using declarations,
+    // put them in the scope of the enclosing namespace instead:
+using   ::std::sqrt;
+using   ::std::atan;
+using   ::std::log;
+using   ::std::exp;
+using   ::std::cos;
+using   ::std::sin;
+using   ::std::tan;
+using   ::std::cosh;
+using   ::std::sinh;
+using   ::std::tanh;
+
+using   ::std::numeric_limits;
+
+using   ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+
+
+#ifdef  BOOST_NO_STDC_NAMESPACE
+using   ::sqrt;
+using   ::atan;
+using   ::log;
+using   ::exp;
+using   ::cos;
+using   ::sin;
+using   ::tan;
+using   ::cosh;
+using   ::sinh;
+using   ::tanh;
+#endif  /* BOOST_NO_STDC_NAMESPACE */
+
+#ifdef  BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP
+using   ::boost::math::real;
+using   ::boost::math::unreal;
+using   ::boost::math::sup;
+using   ::boost::math::l1;
+using   ::boost::math::abs;
+using   ::boost::math::norm;
+using   ::boost::math::conj;
+using   ::boost::math::exp;
+using   ::boost::math::pow;
+using   ::boost::math::cos;
+using   ::boost::math::sin;
+using   ::boost::math::tan;
+using   ::boost::math::cosh;
+using   ::boost::math::sinh;
+using   ::boost::math::tanh;
+using   ::boost::math::sinc_pi;
+using   ::boost::math::sinhc_pi;
+#endif  /* BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP */
+  
+// Provide standard floating point abs() overloads if older Microsoft
+// library is used with _MSC_EXTENSIONS defined. This code also works
+// for the Intel compiler using the Microsoft library.
+#if defined(_MSC_EXTENSIONS) && defined(_MSC_VER) && _MSC_VER < 1310
+inline float        abs(float v)
+{
+    return(fabs(v));
+}
+
+inline double        abs(double v)
+{
+    return(fabs(v));
+}
+
+inline long double    abs(long double v)
+{
+    return(fabs(v));
+}
+#endif /* BOOST_WORKAROUND(BOOST_MSVC) */
+
+
+// explicit (if ludicrous) instanciation
+#if !BOOST_WORKAROUND(__GNUC__, < 3)
+template    class ::boost::math::octonion<int>;
+#else
+// gcc doesn't like the absolutely-qualified namespace
+template class boost::math::octonion<int>;
+#endif /* !BOOST_WORKAROUND(__GNUC__) */
+
+
+namespace
+{
+    template<typename T>
+    ::boost::math::octonion<T>    index_i_element(int idx)
+    {
+        return(
+            ::boost::math::octonion<T>(
+                        (idx == 0) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 1) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 2) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 3) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 4) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 5) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 6) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 7) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0)
+            ));
+    }
+}
+
+
+
+void    octonion_manual_test()
+{
+    // tests for evaluation by humans
+    
+    
+    // using default constructor
+    ::boost::math::octonion<float>            o0;
+    
+    ::boost::math::octonion<float>            oa[2];
+    
+    // using constructor "O seen as R^8"
+    ::boost::math::octonion<float>            o1(1,2,3,4,5,6,7,8);
+    
+    ::std::complex<double>                    c0(9,10);
+    
+    // using constructor "O seen as C^4"
+    ::boost::math::octonion<double>            o2(c0);
+    
+    ::boost::math::quaternion<long double>    q0(11,12,13,14);
+    
+    // using constructor "O seen as H^2"
+    ::boost::math::octonion<long double>      o3(q0);
+    
+    // using UNtemplated copy constructor
+    ::boost::math::octonion<float>            o4(o1);
+    
+    // using templated copy constructor
+    ::boost::math::octonion<long double>      o5(o2);
+    
+    // using UNtemplated assignment operator
+    o5 = o3;
+    oa[0] = o0;
+    
+    // using templated assignment operator
+    o5 = o2;
+    oa[1] = o5;
+    
+    float                                     f0(15);
+    
+    // using converting assignment operator
+    o0 = f0;
+    
+    // using converting assignment operator
+    o2 = c0;
+    
+    // using converting assignment operator
+    o5 = q0;
+    
+    // using += (const T &)
+    o4 += f0;
+    
+    // using += (const ::std::complex<T> &)
+    o2 += c0;
+    
+    // using += (const ::boost::math::quaternion<T> &)
+    o3 += q0;
+    
+    // using += (const quaternion<X> &)
+    o5 += o4;
+    
+    // using -= (const T &)
+    o1 -= f0;
+    
+    // using -= (const ::std::complex<T> &)
+    o2 -= c0;
+    
+    // using -= (const ::boost::math::quaternion<T> &)
+    o5 -= q0;
+    
+    // using -= (const octonion<X> &)
+    o3 -= o4;
+    
+    double                                    d0(16);
+    ::std::complex<double>                    c1(17,18);
+    ::boost::math::quaternion<double>         q1(19,20,21,22);
+    
+    // using *= (const T &)
+    o2 *= d0;
+    
+    // using *= (const ::std::complex<T> &)
+    o2 *= c1;
+    
+    // using *= (const ::boost::math::quaternion<T> &)
+    o2 *= q1;
+    
+    // using *= (const octonion<X> &)
+    o2 *= o4;
+    
+    long double                               l0(23);
+    ::std::complex<long double>               c2(24,25);
+    
+    // using /= (const T &)
+    o5 /= l0;
+    
+    // using /= (const ::std::complex<T> &)
+    o5 /= c2;
+    
+    // using /= (const quaternion<X> &)
+    o5 /= q0;
+    
+    // using /= (const octonion<X> &)
+    o5 /= o5;
+    
+    // using + (const T &, const octonion<T> &)
+    ::boost::math::octonion<float>            o6 = f0+o0;
+    
+    // using + (const octonion<T> &, const T &)
+    ::boost::math::octonion<float>            o7 = o0+f0;
+    
+    // using + (const ::std::complex<T> &, const quaternion<T> &)
+    ::boost::math::octonion<double>           o8 = c0+o2;
+    
+    // using + (const octonion<T> &, const ::std::complex<T> &)
+    ::boost::math::octonion<double>           o9 = o2+c0;
+    
+    // using + (const ::boost::math::quaternion<T>, const octonion<T> &)
+    ::boost::math::octonion<long double>      o10 = q0+o3;
+    
+    // using + (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    ::boost::math::octonion<long double>      o11 = o3+q0;
+    
+    // using + (const quaternion<T> &,const quaternion<T> &)
+    ::boost::math::octonion<float>            o12 = o0+o4;
+    
+    // using - (const T &, const octonion<T> &)
+    o6 = f0-o0;
+    
+    // using - (const octonion<T> &, const T &)
+    o7 = o0-f0;
+    
+    // using - (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0-o2;
+    
+    // using - (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2-c0;
+    
+    // using - (const quaternion<T> &,const octonion<T> &)
+    o10 = q0-o3;
+    
+    // using - (const octonion<T> &,const quaternion<T> &)
+    o11 = o3-q0;
+    
+    // using - (const octonion<T> &,const octonion<T> &)
+    o12 = o0-o4;
+    
+    // using * (const T &, const octonion<T> &)
+    o6 = f0*o0;
+    
+    // using * (const octonion<T> &, const T &)
+    o7 = o0*f0;
+    
+    // using * (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0*o2;
+    
+    // using * (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2*c0;
+    
+    // using * (const quaternion<T> &,const octonion<T> &)
+    o10 = q0*o3;
+    
+    // using * (const octonion<T> &,const quaternion<T> &)
+    o11 = o3*q0;
+    
+    // using * (const octonion<T> &,const octonion<T> &)
+    o12 = o0*o4;
+    
+    // using / (const T &, const octonion<T> &)
+    o6 = f0/o0;
+    
+    // using / (const octonion<T> &, const T &)
+    o7 = o0/f0;
+    
+    // using / (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0/o2;
+    
+    // using / (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2/c0;
+    
+    // using / (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    o10 = q0/o3;
+    
+    // using / (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o11 = o3/q0;
+    
+    // using / (const octonion<T> &,const octonion<T> &)
+    o12 = o0/o4;
+    
+    // using + (const octonion<T> &)
+    o4 = +o0;
+    
+    // using - (const octonion<T> &)
+    o0 = -o4;
+    
+    // using == (const T &, const octonion<T> &)
+    f0 == o0;
+    
+    // using == (const octonion<T> &, const T &)
+    o0 == f0;
+    
+    // using == (const ::std::complex<T> &, const octonion<T> &)
+    c0 == o2;
+    
+    // using == (const octonion<T> &, const ::std::complex<T> &)
+    o2 == c0;
+    
+    // using == (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    q0 == o3;
+    
+    // using == (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o3 == q0;
+    
+    // using == (const octonion<T> &,const octonion<T> &)
+    o0 == o4;
+    
+    // using != (const T &, const octonion<T> &)
+    f0 != o0;
+    
+    // using != (const octonion<T> &, const T &)
+    o0 != f0;
+    
+    // using != (const ::std::complex<T> &, const octonion<T> &)
+    c0 != o2;
+    
+    // using != (const octonion<T> &, const ::std::complex<T> &)
+    o2 != c0;
+    
+    // using != (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    q0 != o3;
+    
+    // using != (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o3 != q0;
+    
+    // using != (const octonion<T> &,const octonion<T> &)
+    o0 != o4;
+    
+    BOOST_TEST_MESSAGE("Please input an octonion...");
+    
+#ifdef BOOST_INTERACTIVE_TEST_INPUT_ITERATOR
+    ::std::cin >> o0;
+    
+    if    (::std::cin.fail())
+    {
+        BOOST_TEST_MESSAGE("You have entered nonsense!");
+    }
+    else
+    {
+        BOOST_TEST_MESSAGE("You have entered the octonion " << o0 << " .");
+    }
+#else
+    ::std::istringstream                bogus("(1,2,3,4,5,6,7,8)");
+    
+    bogus >> o0;
+    
+    BOOST_TEST_MESSAGE("You have entered the octonion " << o0 << " .");
+#endif
+    
+    BOOST_TEST_MESSAGE("For this octonion:");
+    
+    BOOST_TEST_MESSAGE( "the value of the real part is "
+                << real(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the unreal part is "
+                << unreal(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the sup norm is "
+                << sup(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the l1 norm is "
+                << l1(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the magnitude (euclidian norm) is "
+                << abs(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the (Cayley) norm is "
+                << norm(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the conjugate is "
+                << conj(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the exponential is "
+                << exp(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the cube is "
+                << pow(o0,3));
+    
+    BOOST_TEST_MESSAGE( "the value of the cosinus is "
+                << cos(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the sinus is "
+                << sin(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the tangent is "
+                << tan(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic cosinus is "
+                << cosh(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic sinus is "
+                << sinh(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic tangent is "
+                << tanh(o0));
+    
+#ifdef    BOOST_NO_TEMPLATE_TEMPLATES
+    BOOST_TEST_MESSAGE( "no template templates, can't compute cardinal functions");
+#else    /* BOOST_NO_TEMPLATE_TEMPLATES */
+    BOOST_TEST_MESSAGE( "the value of the Sinus Cardinal (of index pi) is "
+                << sinc_pi(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of "
+                << "the Hyperbolic Sinus Cardinal (of index pi) is "
+                << sinhc_pi(o0));
+#endif    /* BOOST_NO_TEMPLATE_TEMPLATES */
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    float                            rho = ::std::sqrt(4096.0f);
+    float                            theta = ::std::atan(1.0f);
+    float                            phi1 = ::std::atan(1.0f);
+    float                            phi2 = ::std::atan(1.0f);
+    float                            phi3 = ::std::atan(1.0f);
+    float                            phi4 = ::std::atan(1.0f);
+    float                            phi5 = ::std::atan(1.0f);
+    float                            phi6 = ::std::atan(1.0f);
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in spherical form by "
+                << "rho = " << rho << " , theta = " << theta
+                << " , phi1 = " << phi1 << " , phi2 = " << phi2
+                << " , phi3 = " << phi3 << " , phi4 = " << phi4
+                << " , phi5 = " << phi5 << " , phi6 = " << phi6
+                << " is "
+                << ::boost::math::spherical(rho, theta,
+                        phi1, phi2, phi3, phi4, phi5, phi6));
+    
+    float                            rho1 = 1;
+    float                            rho2 = 2;
+    float                            rho3 = ::std::sqrt(2.0f);
+    float                            rho4 = ::std::sqrt(8.0f);
+    float                            theta1 = 0;
+    float                            theta2 = ::std::atan(1.0f)*2;
+    float                            theta3 = ::std::atan(1.0f);
+    float                            theta4 = ::std::atan(::std::sqrt(3.0f));
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in multipolar form by "
+                << "rho1 = " << rho1 << " , theta1 = " << theta1
+                << " , rho2 = " << rho2 << " , theta2 = " << theta2
+                << "rho3 = " << rho3 << " , theta3 = " << theta3
+                << " , rho4 = " << rho4 << " , theta4 = " << theta4
+                << " is "
+                << ::boost::math::multipolar(rho1, theta1, rho2, theta2,
+                        rho3, theta3, rho4, theta4));
+    
+    float                            r = ::std::sqrt(2.0f);
+    float                            angle = ::std::atan(1.0f);
+    float                            h1 = 3;
+    float                            h2 = 4;
+    float                            h3 = 5;
+    float                            h4 = 6;
+    float                            h5 = 7;
+    float                            h6 = 8;
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in cylindrical form by "
+                << "r = " << r << " , angle = " << angle
+                << " , h1 = " << h1 << " , h2 = " << h2
+                << " , h3 = " << h3 << " , h4 = " << h4
+                << " , h5 = " << h5 << " , h6 = " << h6
+                << " is " << ::boost::math::cylindrical(r, angle,
+                        h1, h2, h3, h4, h5, h6));
+    
+    double                               real_1(1);
+    ::std::complex<double>               complex_1(1);
+    ::std::complex<double>               complex_i(0,1);
+    ::boost::math::quaternion<double>    quaternion_1(1);
+    ::boost::math::quaternion<double>    quaternion_i(0,1);
+    ::boost::math::quaternion<double>    quaternion_j(0,0,1);
+    ::boost::math::quaternion<double>    quaternion_k(0,0,0,1);
+    ::boost::math::octonion<double>      octonion_1(1);
+    ::boost::math::octonion<double>      octonion_i(0,1);
+    ::boost::math::octonion<double>      octonion_j(0,0,1);
+    ::boost::math::octonion<double>      octonion_k(0,0,0,1);
+    ::boost::math::octonion<double>      octonion_e_prime(0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_i_prime(0,0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_j_prime(0,0,0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_k_prime(0,0,0,0,0,0,0,1);
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE( "Real 1: " << real_1
+                << " ; Complex 1: " << complex_1
+                << " ; Quaternion 1: " << quaternion_1
+                << " ; Octonion 1: " << octonion_1 << " .");
+                
+    BOOST_TEST_MESSAGE( "Complex i: " << complex_i
+                << " ; Quaternion i: " << quaternion_i
+                << " ; Octonion i : " << octonion_i << " .");
+                
+    BOOST_TEST_MESSAGE( "Quaternion j: " << quaternion_j
+                << " ; Octonion j: " << octonion_j << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion k: " << quaternion_k
+                << " ; Octonion k: " << octonion_k << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion e\': " << octonion_e_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion i\': " << octonion_i_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion j\': " << octonion_j_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion k\': " << octonion_k_prime << " .");
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE( octonion_1*octonion_1 << " ; "
+                << octonion_1*octonion_i << " ; "
+                << octonion_1*octonion_j << " ; "
+                << octonion_1*octonion_k << " ; "
+                << octonion_1*octonion_e_prime << " ; "
+                << octonion_1*octonion_i_prime << " ; "
+                << octonion_1*octonion_j_prime << " ; "
+                << octonion_1*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_i*octonion_1 << " ; "
+                << octonion_i*octonion_i << " ; "
+                << octonion_i*octonion_j << " ; "
+                << octonion_i*octonion_k << " ; "
+                << octonion_i*octonion_e_prime << " ; "
+                << octonion_i*octonion_i_prime << " ; "
+                << octonion_i*octonion_j_prime << " ; "
+                << octonion_i*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_j*octonion_1 << " ; "
+                << octonion_j*octonion_i << " ; "
+                << octonion_j*octonion_j << " ; "
+                << octonion_j*octonion_k << " ; "
+                << octonion_j*octonion_e_prime << " ; "
+                << octonion_j*octonion_i_prime << " ; "
+                << octonion_j*octonion_j_prime << " ; "
+                << octonion_j*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_k*octonion_1 << " ; "
+                << octonion_k*octonion_i << " ; "
+                << octonion_k*octonion_j << " ; "
+                << octonion_k*octonion_k << " ; "
+                << octonion_k*octonion_e_prime << " ; "
+                << octonion_k*octonion_i_prime << " ; "
+                << octonion_k*octonion_j_prime << " ; "
+                << octonion_k*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_e_prime*octonion_1 << " ; "
+                << octonion_e_prime*octonion_i << " ; "
+                << octonion_e_prime*octonion_j << " ; "
+                << octonion_e_prime*octonion_k << " ; "
+                << octonion_e_prime*octonion_e_prime << " ; "
+                << octonion_e_prime*octonion_i_prime << " ; "
+                << octonion_e_prime*octonion_j_prime << " ; "
+                << octonion_e_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_i_prime*octonion_1 << " ; "
+                << octonion_i_prime*octonion_i << " ; "
+                << octonion_i_prime*octonion_j << " ; "
+                << octonion_i_prime*octonion_k << " ; "
+                << octonion_i_prime*octonion_e_prime << " ; "
+                << octonion_i_prime*octonion_i_prime << " ; "
+                << octonion_i_prime*octonion_j_prime << " ; "
+                << octonion_i_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_j_prime*octonion_1 << " ; "
+                << octonion_j_prime*octonion_i << " ; "
+                << octonion_j_prime*octonion_j << " ; "
+                << octonion_j_prime*octonion_k << " ; "
+                << octonion_j_prime*octonion_e_prime << " ; "
+                << octonion_j_prime*octonion_i_prime << " ; "
+                << octonion_j_prime*octonion_j_prime << " ; "
+                << octonion_j_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_k_prime*octonion_1 << " ; "
+                << octonion_k_prime*octonion_i << " ; "
+                << octonion_k_prime*octonion_j << " ; "
+                << octonion_k_prime*octonion_k << " ; "
+                << octonion_k_prime*octonion_e_prime << " ; "
+                << octonion_k_prime*octonion_i_prime << " ; "
+                << octonion_k_prime*octonion_j_prime << " ; "
+                << octonion_k_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE("i\'*(e\'*j) : "
+    << octonion_i_prime*(octonion_e_prime*octonion_j) << " ;");
+    
+    BOOST_TEST_MESSAGE("(i\'*e\')*j : "
+    << (octonion_i_prime*octonion_e_prime)*octonion_j << " ;");
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(multiplication_test, T)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::boost::math::abs;
+#endif /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing multiplication for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::octonion<T>(1,0,0,0,0,0,0,0)*
+             ::boost::math::octonion<T>(1,0,0,0,0,0,0,0)-
+             static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    for    (int idx = 1; idx < 8; ++idx)
+    {
+        ::boost::math::octonion<T>    toto = index_i_element<T>(idx);
+        
+        BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+            (abs(toto*toto+static_cast<T>(1)))
+            (numeric_limits<T>::epsilon()));
+    }
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(exp_test, T)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing exp for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int idx = 1; idx < 8; ++idx)
+    {
+        ::boost::math::octonion<T>    toto =
+            static_cast<T>(4)*atan(static_cast<T>(1))*index_i_element<T>(idx);
+            
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (abs(exp(toto)+static_cast<T>(1)))
+            (2*numeric_limits<T>::epsilon()));
+    }
+}
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("octonion_test");
+    
+    BOOST_TEST_MESSAGE("Results of octonion test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+#define    BOOST_OCTONION_COMMON_GENERATOR(fct) \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, test_types));
+    
+#define    BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS(fct) \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, near_eps_test_types));
+    
+    
+#define    BOOST_OCTONION_TEST                      \
+    BOOST_OCTONION_COMMON_GENERATOR(multiplication) \
+    BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS(exp)
+    
+    
+    BOOST_OCTONION_TEST
+    
+    
+#undef    BOOST_OCTONION_TEST
+    
+#undef    BOOST_OCTONION_COMMON_GENERATOR
+#undef BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS
+    
+#ifdef BOOST_OCTONION_TEST_VERBOSE
+    
+    test->add(BOOST_TEST_CASE(octonion_manual_test));
+    
+#endif    /* BOOST_OCTONION_TEST_VERBOSE */
+    
+    return test;
+}
+
+#undef DEFINE_TYPE_NAME
diff --git a/src/boost/libs/math/test/ooura_fourier_integral_test.cpp b/src/boost/libs/math/test/ooura_fourier_integral_test.cpp
new file mode 100644
index 00000000..d1e49b48
--- /dev/null
+++ b/src/boost/libs/math/test/ooura_fourier_integral_test.cpp
@@ -0,0 +1,377 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#define BOOST_TEST_MODULE test_ooura_fourier_transform
+
+#include <cmath>
+#include <iostream>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/ooura_fourier_integrals.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+using boost::math::quadrature::ooura_fourier_sin;
+using boost::math::quadrature::ooura_fourier_cos;
+using boost::math::constants::pi;
+
+
+float float_tol = 10*std::numeric_limits<float>::epsilon();
+ooura_fourier_sin<float> float_sin_integrator(float_tol);
+
+double double_tol = 10*std::numeric_limits<double>::epsilon();
+ooura_fourier_sin<double> double_sin_integrator(double_tol);
+
+long double long_double_tol = 10*std::numeric_limits<long double>::epsilon();
+ooura_fourier_sin<long double> long_double_sin_integrator(long_double_tol);
+
+template<class Real>
+auto get_sin_integrator() {
+    if constexpr (std::is_same_v<Real, float>) {
+        return float_sin_integrator;
+    }
+    if constexpr (std::is_same_v<Real, double>) {
+        return double_sin_integrator;
+    }
+    if constexpr (std::is_same_v<Real, long double>) {
+        return long_double_sin_integrator;
+    }
+}
+
+ooura_fourier_cos<float> float_cos_integrator(float_tol);
+ooura_fourier_cos<double> double_cos_integrator(double_tol);
+ooura_fourier_cos<long double> long_double_cos_integrator(long_double_tol);
+
+template<class Real>
+auto get_cos_integrator() {
+    if constexpr (std::is_same_v<Real, float>) {
+        return float_cos_integrator;
+    }
+    if constexpr (std::is_same_v<Real, double>) {
+        return double_cos_integrator;
+    }
+    if constexpr (std::is_same_v<Real, long double>) {
+        return long_double_cos_integrator;
+    }
+}
+
+
+template<class Real>
+void test_ooura_eta()
+{
+    using boost::math::quadrature::detail::ooura_eta;
+    std::cout << "Testing eta function on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    {
+        Real x = 0;
+        Real alpha = 7;
+        auto [eta, eta_prime] = ooura_eta(x, alpha);
+        BOOST_CHECK_SMALL(eta, (std::numeric_limits<Real>::min)());
+        BOOST_CHECK_CLOSE_FRACTION(eta_prime, 2 + alpha + Real(1)/Real(4), 10*std::numeric_limits<Real>::epsilon());
+    }
+
+    {
+        Real alpha = 4;
+        for (Real z = 0.125; z < 500; z += 0.125) {
+            Real x = std::log(z);
+            auto [eta, eta_prime] = ooura_eta(x, alpha);
+            BOOST_CHECK_CLOSE_FRACTION(eta, 2*x + alpha*(1-1/z) + (z-1)/4, 10*std::numeric_limits<Real>::epsilon());
+            BOOST_CHECK_CLOSE_FRACTION(eta_prime, 2 + alpha/z + z/4, 10*std::numeric_limits<Real>::epsilon());
+        }
+    }
+}
+
+template<class Real>
+void test_ooura_sin_nodes_and_weights()
+{
+    using boost::math::quadrature::detail::ooura_sin_node_and_weight;
+    using boost::math::quadrature::detail::ooura_eta;
+    std::cout << "Testing nodes and weights on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    {
+        long n = 1;
+        Real alpha = 1;
+        Real h = 1;
+        auto [node, weight] = ooura_sin_node_and_weight(n, h, alpha);
+        Real expected_node = pi<Real>()/(1-exp(-ooura_eta(n*h, alpha).first));
+        BOOST_CHECK_CLOSE_FRACTION(node,  expected_node,10*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_ooura_alpha() {
+    std::cout << "Testing Ooura alpha on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::log1p;
+    using boost::math::quadrature::detail::calculate_ooura_alpha;
+    Real alpha = calculate_ooura_alpha(Real(1));
+    Real expected = 1/sqrt(16 + 4*log1p(pi<Real>()));
+    BOOST_CHECK_CLOSE_FRACTION(alpha, expected, 10*std::numeric_limits<Real>::epsilon());
+}
+
+void test_node_weight_precision_agreement()
+{
+    using std::abs;
+    using boost::math::quadrature::detail::ooura_sin_node_and_weight;
+    using boost::math::quadrature::detail::ooura_eta;
+    using boost::multiprecision::cpp_bin_float_quad;
+    std::cout << "Testing agreement in two different precisions of nodes and weights\n";
+    cpp_bin_float_quad alpha_quad = 1;
+    long int_max = 128;
+    cpp_bin_float_quad h_quad = 1/cpp_bin_float_quad(int_max);
+    double alpha_dbl = 1;
+    double h_dbl = static_cast<double>(h_quad);
+    std::cout << std::fixed;
+    for (long n = -1; n > -6*int_max; --n) {
+        auto [node_dbl, weight_dbl] = ooura_sin_node_and_weight(n, h_dbl, alpha_dbl);
+        auto p = ooura_sin_node_and_weight(n, h_quad, alpha_quad);
+        double node_quad = static_cast<double>(p.first);
+        double weight_quad = static_cast<double>(p.second);
+        auto node_dist = abs(boost::math::float_distance(node_quad, node_dbl));
+        if ( (weight_quad < 0 && weight_dbl > 0) || (weight_dbl < 0 && weight_quad > 0) ){
+            std::cout << "Weights at different precisions have different signs!\n";
+        } else {
+            auto weight_dist = abs(boost::math::float_distance(weight_quad, weight_dbl));
+            if (weight_dist > 100) {
+                std::cout << std::fixed;
+                std::cout <<"n =" << n << ", x = " << n*h_dbl << ", node distance = " << node_dist << ", weight distance = " << weight_dist << "\n";
+                std::cout << std::scientific;
+                std::cout << "computed weight = " << weight_dbl << ", actual weight = " << weight_quad << "\n";
+            }
+        }
+    }
+
+}
+
+template<class Real>
+void test_sinc()
+{
+    std::cout << "Testing sinc integral on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::numeric_limits;
+    Real tol = 50*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/x; };
+    Real omega = 1;
+    while (omega < 10)
+    {
+        auto [Is, err] = integrator.integrate(f, omega);
+        BOOST_CHECK_CLOSE_FRACTION(Is, pi<Real>()/2, tol);
+
+        auto [Isn, errn] = integrator.integrate(f, -omega);
+        BOOST_CHECK_CLOSE_FRACTION(Isn, -pi<Real>()/2, tol);
+        omega += 1;
+    }
+}
+
+
+template<class Real>
+void test_exp()
+{
+    std::cout << "Testing exponential integral on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using std::numeric_limits;
+    Real tol = 50*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real {return exp(-x);};
+    Real omega = 1;
+    while (omega < 5)
+    {
+        auto [Is, err] = integrator.integrate(f, omega);
+        Real exact = omega/(1+omega*omega);
+        BOOST_CHECK_CLOSE_FRACTION(Is, exact, tol);
+        omega += 1;
+    }
+}
+
+
+template<class Real>
+void test_root()
+{
+    std::cout << "Testing integral of sin(kx)/sqrt(x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/sqrt(x);};
+    Real omega = 1;
+    while (omega < 5) {
+        auto [Is, err] = integrator.integrate(f, omega);
+        Real exact = sqrt(pi<Real>()/(2*omega));
+        BOOST_CHECK_CLOSE_FRACTION(Is, exact, 10*tol);
+        omega += 1;
+    }
+}
+
+// See: https://scicomp.stackexchange.com/questions/32790/numerical-evaluation-of-highly-oscillatory-integral/32799#32799
+template<class Real>
+Real asymptotic(Real lambda) {
+    using std::sin;
+    using std::cos;
+    using boost::math::constants::pi;
+    Real I1 = cos(lambda - pi<Real>()/4)*sqrt(2*pi<Real>()/lambda);
+    Real I2 = sin(lambda - pi<Real>()/4)*sqrt(2*pi<Real>()/(lambda*lambda*lambda))/8;
+    return I1 + I2;
+}
+
+template<class Real>
+void test_double_osc()
+{
+    std::cout << "Testing double oscillation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    auto integrator = get_sin_integrator<Real>();
+    Real lambda = 7;
+    auto f = [&lambda](Real x)->Real { return cos(lambda*cos(x))/x; };
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = asymptotic(lambda);
+    BOOST_CHECK_CLOSE_FRACTION(2*Is, exact, 0.05);
+}
+
+template<class Real>
+void test_zero_integrand()
+{
+    // Make sure relative error tolerance doesn't break on zero integrand:
+    std::cout << "Testing zero integrand on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real /* x */)->Real { return Real(0); };
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = 0;
+    BOOST_CHECK_EQUAL(Is, exact);
+}
+
+
+// This works, but doesn't recover the precision you want in a unit test:
+// template<class Real>
+// void test_log()
+// {
+//     std::cout << "Testing integral of log(x)sin(x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+//     using std::log;
+//     using std::exp;
+//     using std::numeric_limits;
+//     using boost::math::constants::euler;
+//     Real tol = 1000*numeric_limits<Real>::epsilon();
+//     auto f = [](Real x)->Real { return exp(-100*numeric_limits<Real>::epsilon()*x)*log(x);};
+//     Real omega = 1;
+//     Real Is = ooura_fourier_sin<decltype(f), Real>(f, omega, sqrt(numeric_limits<Real>::epsilon())/100);
+//     BOOST_CHECK_CLOSE_FRACTION(Is, -euler<Real>(), tol);
+// }
+
+
+template<class Real>
+void test_cos_integral1()
+{
+    std::cout << "Testing integral of cos(x)/(x*x+1) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using boost::math::constants::half_pi;
+    using boost::math::constants::e;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+
+    auto integrator = get_cos_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/(x*x+1);};
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = half_pi<Real>()/e<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Is, exact, tol);
+}
+
+template<class Real>
+void test_cos_integral2()
+{
+    std::cout << "Testing integral of exp(-a*x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using boost::math::constants::half_pi;
+    using boost::math::constants::e;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+
+    auto integrator = get_cos_integrator<Real>();
+    for (Real a = 1; a < 5; ++a) {
+        auto f = [&a](Real x)->Real { return exp(-a*x);};
+        for(Real omega = 1; omega < 5; ++omega) {
+            auto [Is, err] = integrator.integrate(f, omega);
+            Real exact = a/(a*a+omega*omega);
+            BOOST_CHECK_CLOSE_FRACTION(Is, exact, 10*tol);
+        }
+    }
+}
+
+template<class Real>
+void test_nodes()
+{
+    std::cout << "Testing nodes and weights on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    auto sin_integrator = get_sin_integrator<Real>();
+
+    auto const & big_nodes = sin_integrator.big_nodes();
+    for (auto & node_row : big_nodes) {
+        Real t0 = node_row[0];
+        for (size_t i = 1; i < node_row.size(); ++i) {
+            Real t1 = node_row[i];
+            BOOST_CHECK(t1 > t0);
+            t0 = t1;
+        }
+    }
+
+    auto const & little_nodes = sin_integrator.little_nodes();
+    for (auto & node_row : little_nodes) {
+        Real t0 = node_row[0];
+        for (size_t i = 1; i < node_row.size(); ++i) {
+            Real t1 = node_row[i];
+            BOOST_CHECK(t1 < t0);
+            t0 = t1;
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(ooura_fourier_transform_test)
+{
+    test_cos_integral1<float>();
+    test_cos_integral1<double>();
+    test_cos_integral1<long double>();
+
+    test_cos_integral2<float>();
+    test_cos_integral2<double>();
+    test_cos_integral2<long double>();
+
+    //test_node_weight_precision_agreement();
+    test_zero_integrand<float>();
+    test_zero_integrand<double>();
+
+    test_ooura_eta<float>();
+    test_ooura_eta<double>();
+    test_ooura_eta<long double>();
+
+    test_ooura_sin_nodes_and_weights<float>();
+    test_ooura_sin_nodes_and_weights<double>();
+    test_ooura_sin_nodes_and_weights<long double>();
+
+    test_ooura_alpha<float>();
+    test_ooura_alpha<double>();
+    test_ooura_alpha<long double>();
+
+    test_sinc<float>();
+    test_sinc<double>();
+    test_sinc<long double>();
+
+    test_exp<float>();
+    test_exp<double>();
+    test_exp<long double>();
+
+    test_root<float>();
+    test_root<double>();
+
+    test_double_osc<float>();
+    test_double_osc<double>();
+    // Takes too long!
+    //test_double_osc<long double>();
+
+    // This test should be last:
+    test_nodes<float>();
+    test_nodes<double>();
+    test_nodes<long double>();
+}
diff --git a/src/boost/libs/math/test/owens_t.ipp b/src/boost/libs/math/test/owens_t.ipp
new file mode 100644
index 00000000..0cd1adc2
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t.ipp
@@ -0,0 +1,410 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 400> owens_t = {{
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(2.2942365980155351117754771526378292708740231264960539316842063696200884829628237039895484898529192823e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.9680322689154555657058017082736661495213677947212098762543622722763825563827711568131850564334565506e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.1597654248037660387449520543820166351754668510505531823382492970457382200077558044792256804713386129e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(4.3232953135233836153944327583670440589476418747370390302105974330237550687887327299360596774532791101e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.0100550889644229746912561152386170907268949874219104978095620802138249447202878889126283209658742296e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.1497543339940146251856615610147485246423382395107105527248575888794201708943383385544040841893167983e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.7002307780595028311848002054681870716943983498717211440016321757838493256869247382910637200137362515e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0087628098924846553420452991323128540455257919474718546084030038511341392097627616477463678020520866e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4722046852111816406250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0091132928374177373986149936548570045661635017241761865456752105413011145950758665503631981469962091e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0865842961288026187893734175479235962324504288027096290482416005557459196544605743966959957549259912e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1928879205559397161128411536383665386049060100190891105612351797899324440156577849032776806264950516e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2007404932089150629318599721043926151201252590201116565157838995615594563567446592356739043515060955e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2234231937902890618076422454559854736034641208834938001805660215261543653258044507100832640227607205e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2254641258057330150164973433843452155232009681583050905550399458557126941497853232806334014703269603e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2360475720884925881580539738830093572012024162485856485613974712653546627243019666702904836835836072e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2376176601227851086722830167717452814836846810367599158215995631280835335070487840750421239628452270e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2382005445939933843659988418503656684093356069262317993257524956338275590041101050569009428193352371e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2384419169235315605535269562348458006973333200556008698543822798769741450130359222839946856017776574e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2431007739121873243331263486394085638096884194270101674004097829060031548768693191305694357247777346e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2437508801776841503931807680295142938639719448531279010032010195899482047937342387190771017427394090e-02) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(6.0892598894871013831450310453855577024940199295839498702191855220058998766969059376364952526465284021e-04) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8552477503066093316653283632946784434348752481643564867235309304982560891773412550717031568541075705e-04) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3547481001847470306205437554767680175926460100401487634312607482107121403542105369607597913620486228e-04) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1349538807683529766754432045661620867376550973436541105753149427481686354171267899610423696075448149e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.3081149058186992317938095276814421293879284969724144515996421560499787699936613174360343582962295740e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.5878048364081975081251891304217167013312099142666376506423788580505618186158232170549422219934783478e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.7187428864034126218093390684607934848342548100346115458866508939353555304950555823644799745834099854e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.4341415275418323804965250950312187178896787958041667325921433680168800975724752491267519263702206171e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4722046852111816406250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.4347703667517973497589772453954356420155380457362917154615271851092638128618543252129405995381120823e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.5654934061729800585071531711732581992665178577119680937850556665600001416830920923998758996250562572e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7102222130256680778082229506054624600298089640008649867810816174099490266589359223735451239228867695e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7187366890979789886994424919757198431063606086845524871086681826444014144546460885653698813171873483e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7410410391314317327235243808230003063641913370466248328606151566540037142368309640948307733089157819e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7428627024087233594744881207353300006000606524950207103958084731385200535788238988081899365708614181e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7517497927491308313460905871910944558439108965006558155874933342489541271005569828949406095203595635e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7529832238099327981448373487368565869894878389079013255254799787854521106511736100337800130550804734e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7534351959075352602930158286289964102877576582018338135138282398495212502293273181665468958443704470e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7536214058405533351145775811408280041522270716058519266403220051159633550918364954505859587344152318e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7571031476501931637301192852028739334678122250513760833401608355268943614593156536569593782544447721e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7575714835398346014438296247850916003189300937943203722758437029746167717384652465698091284467773426e-03) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(3.8940745658072282978586957911412357454682765821749814836616564829173079872316409867511611976849736342e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.0186385594150413563720938913340836408702098697405640386356529741412088880349476855118149225684014609e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.3360688311466125005252448740101520538894144350836290391278541005037227186243743866548835757888360652e-04) }}, 
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+   }};
+
diff --git a/src/boost/libs/math/test/owens_t_T7.hpp b/src/boost/libs/math/test/owens_t_T7.hpp
new file mode 100644
index 00000000..b3ad30dd
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t_T7.hpp
@@ -0,0 +1,224 @@
+// Copyright (C) Benjamin Sobotta 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_OWENS_T7_HPP
+#define BOOST_OWENS_T7_HPP
+
+// Reference:
+// Mike Patefield, David Tandy
+// FAST AND ACCURATE CALCULATION OF OWEN'S T-FUNCTION
+// Journal of Statistical Software, 5 (5), 1-25
+
+#ifdef _MSC_VER
+#  pragma once
+#endif
+
+#include <boost/math/special_functions/owens_t.hpp>
+#include <vector>
+#include <algorithm> // std::sort
+#include <boost/bind.hpp>
+#include <boost/bind/placeholders.hpp>
+
+namespace boost
+{
+  namespace math
+  {
+    namespace detail
+    {
+      template<typename ndx_type, typename data_type>
+      inline bool owens_t_sort_proxy(const ndx_type n1, const ndx_type n2, const data_type* data) { return (fabs(data[n1]) < fabs(data[n2])); }
+
+      // compute the value of Owen's T function with method T7 from the reference paper
+      template<typename RealType>
+      inline RealType compute_owens_t_T7(const RealType h, const RealType a)
+      {
+        BOOST_MATH_STD_USING
+        using namespace boost::math::constants;
+
+        std::vector<RealType> c2(51);
+
+        c2[0]=static_cast<RealType>(0.99999999999999999999999999999999999999868061520482714021759648020474317574987355923862368638038320094484952302876219e0l);
+        c2[1]=static_cast<RealType>(-0.99999999999999999999999999999999999302462011069054837422425677393793571720981603447930035285521866357878934009159708e0l);
+        c2[2]=static_cast<RealType>(0.9999999999999999999999999999999938559078263892797131217517182153540396811776160269133372859096210993958152102616265e0l);
+        c2[3]=static_cast<RealType>(-0.99999999999999999999999999999783757316880746021776281028307338046033395960167168255107746699076325159707117075122598e0l);
+        c2[4]=static_cast<RealType>(0.99999999999999999999999999959301304409247897363805160078169883190960201161021089063082244377785297302604378738778956e0l);
+        c2[5]=static_cast<RealType>(-0.99999999999999999999999995245835998362821388118964869664453661644738440917895538883200648244745024569685062708634168e0l);
+        c2[6]=static_cast<RealType>(0.99999999999999999999999622575084004275114986560329977419595335828482080658911071010175083376987487699799620433312026e0l);
+        c2[7]=static_cast<RealType>(-0.9999999999999999999997835456196743116277756586095640965807421017047019205312795102010127835367920317933410096951991e0l);
+        c2[8]=static_cast<RealType>(0.99999999999999999999063044410000386518700820850762955399774821040632831953277713720592510531609301137092442411088318e0l);
+        c2[9]=static_cast<RealType>(-0.99999999999999999968363056215229124110523314446131391646528327924749429301803531868618645140379927991069880419895362e0l);
+        c2[10]=static_cast<RealType>(0.99999999999999999145103710789254646427253519282003979608764987525701449150796674610676803428471393828460151017134006e0l);
+        c2[11]=static_cast<RealType>(-0.99999999999999981131055812853212338067344201452850197384362641710824830755936071166619436310647545618172487913130615e0l);
+        c2[12]=static_cast<RealType>(0.99999999999999654123165670138354353746969688832625358460636033129592270928035522003120035894014007078745281902561497e0l);
+        c2[13]=static_cast<RealType>(-0.99999999999994661543772980917477218111196118287898714561621502747335071313305657131504975341280407503235841894095032e0l);
+        c2[14]=static_cast<RealType>(0.9999999999992981439043273655170176041716503383856785977723125483146102600097712876017125231262708400720094556926045e0l);
+        c2[15]=static_cast<RealType>(-0.99999999999206265150568436336459788968621075287629010127877385312281458164262755824589807456902954264068398140350718e0l);
+        c2[16]=static_cast<RealType>(0.99999999992213502163371840879683818667748180414402080554120502891144910024410028330131981216472217247119418222397804e0l);
+        c2[17]=static_cast<RealType>(-0.99999999933259095924055744571071653706200038213621273711937864999491782183629569409353668088363952580491517608609879e0l);
+        c2[18]=static_cast<RealType>(0.99999999497015572069563854257687102391713999264054303202862355260549032899913629304955062400529548430606517184769124e0l);
+        c2[19]=static_cast<RealType>(-0.99999996648712934179852410529668328351470567694495362454934194838547830786603251986748376180326858512474939517328148e0l);
+        c2[20]=static_cast<RealType>(0.9999998016410566689368417618988041312715506400990955108339485167214078601378203496694653725800913994771609966243554e0l);
+        c2[21]=static_cast<RealType>(-0.9999989525985184659277351038817797931250021614576921513415321341983217728506335369734522548408960126473437428356652e0l);
+        c2[22]=static_cast<RealType>(0.99999504755520008311742537842275606593998257673570772153723704887194777830960070883905373411740901379060307967971713e0l);
+        c2[23]=static_cast<RealType>(-0.99997896168242457050517756812692812892733179258193505494454091938132703728342085231042113297420877668525201728601112e0l);
+        c2[24]=static_cast<RealType>(0.99991946779137118276149990348538316553731391341330104178195711109963439425910633064752492021322249165299888263409172e0l);
+        c2[25]=static_cast<RealType>(-0.99972148778885346568502104725962502476360296866194523161605564314646459144266349095901801601276421334075117884929242e0l);
+        c2[26]=static_cast<RealType>(0.9991276859682010382270359712512423427555252098639083241851998143073842159537070734558612169871757287024196969316524e0l);
+        c2[27]=static_cast<RealType>(-0.99752026434927262148166061506294447561314364149201350129770769406693673101306930831078789512571673723645189614485884e0l);
+        c2[28]=static_cast<RealType>(0.99358896672458664010385299342636899693001298318272470058323214841807825867323354755879957618925036849552478542814464e0l);
+        c2[29]=static_cast<RealType>(-0.98489603971030687415560911591294255813647866616337974199082847337212210737029861747833396359832470961032052017929136e0l);
+        c2[30]=static_cast<RealType>(0.96751068500593933205520070783164495637686016604265460899685963694355146172759956614360799629964537023691986327884468e0l);
+        c2[31]=static_cast<RealType>(-0.9360616426988023756922055734494146109996789121506654176278348120618330748262465556674776006234661241542758473118521e0l);
+        c2[32]=static_cast<RealType>(0.88462086639047762401913298378165508003735156726358522187746603832270096575743334309836954108840694198036767569315108e0l);
+        c2[33]=static_cast<RealType>(-0.80858877429268840241019894355701184332631739713578890873529014128055757110890871538802016131209054476205332440695604e0l);
+        c2[34]=static_cast<RealType>(0.70714608761601125771088731886413274896589865282669140675007048926200481310909899767964678381587391145800655465120571e0l);
+        c2[35]=static_cast<RealType>(-0.58515160223005410186594841297741982997622522778974325847124400853371098492516978008742019478185592841561858134639963e0l);
+        c2[36]=static_cast<RealType>(0.45317050454923571830339270216379220523529541036307428556285489535205431482111178945999365703295821120700802922701552e0l);
+        c2[37]=static_cast<RealType>(-0.32503812067644347537685664861030147676006324710175782617307839344555807653091746007670995202936607469695700327677892e0l);
+        c2[38]=static_cast<RealType>(0.2137534704367539657335116107238861128574908030994099713290249568609752278177667873985860406515292692728315916731017e0l);
+        c2[39]=static_cast<RealType>(-0.127619403804624293099162792279930050338998502678126917236608595894255012173888208013041488822409228894596510380150144e0l);
+        c2[40]=static_cast<RealType>(0.06848690630890464573940500271274680442209417344598560366267896451733825978600890476338760194302261371849816636335383e0l);
+        c2[41]=static_cast<RealType>(-0.032688749970534932162217917343517016881654494605298904939793624525513795530795862058337162798487051632431756396211348e0l);
+        c2[42]=static_cast<RealType>(0.013715287119044125499391779954972556538977518079926978123084819229658358422347583377635796490450010646568919625741353e0l);
+        c2[43]=static_cast<RealType>(-0.0049902360281804772302071182896105260677340309700627303663654639589340705520269439056577683691783146342849984775533766e0l);
+        c2[44]=static_cast<RealType>(0.00154866713536508358511616306566119586713663676744267610952381384231395851333350529444375690335427250570956017759427897e0l);
+        c2[45]=static_cast<RealType>(-4.0136222792839484462604207322390667014747359362667770129433998717936089480817561247228048128811298286479443203785308e-4l);
+        c2[46]=static_cast<RealType>(8.4429279202769263712337394035686562275089641577318336414305767736129198590671750045859928722396139236629554169757073e-5l);
+        c2[47]=static_cast<RealType>(-1.3837048406451028003397758396690378745165135180030260294919960014069368993089617158234925766366971794969129152002478e-5l);
+        c2[48]=static_cast<RealType>(1.6563766752141156889761471523635738102614710503912266484040958175597362783384628269667016371235475899745552923626272e-6l);
+        c2[49]=static_cast<RealType>(-1.2874491982958001084373112367555214480376326465550959775329113928120230317885310174458065240563391789639012991976545e-7l);
+        c2[50]=static_cast<RealType>(4.8740773419420086658863239448043342637632445767226310886251599519774455542302728072876112682268516221911975181091336e-9l);
+
+        const RealType hs = h*h;
+        const RealType as = a*a;
+
+        //RealType u = one_div_two_pi<RealType>() * a * exp(-half<RealType>()*hs*(static_cast<RealType>(1)+as));
+        RealType v = c2[0];
+
+        RealType val = v;
+        RealType last_val = val+1; // last_val must not be the same as val
+
+        int k = 0;
+
+        std::vector<RealType> memory;
+        memory.push_back(v);
+
+        while((val != last_val) || (k<51)) // use all c2
+        {
+          last_val = val;
+          k++;
+          const RealType u = pow(as,k);
+          if(k < static_cast<int>(c2.size()))
+          {
+            v = (hs*v + c2[k])/(static_cast<RealType>(2*k+1));
+          }
+          else
+          {
+            // assume that for numerical purposes c2[k]==0
+            v = hs*v/(static_cast<RealType>(2*k+1));
+          }
+          val += u*v;
+          if(val >= tools::max_value<RealType>())
+            break;
+          memory.push_back(u*v);
+        } // while(val != last_val)
+
+        std::vector<unsigned> ndx_4_sorted_data(memory.size());
+        for(unsigned i = 0; i != memory.size(); ++i)
+        {
+          ndx_4_sorted_data[i]=i;
+        }
+
+        std::sort(ndx_4_sorted_data.begin(), ndx_4_sorted_data.end(),
+                  boost::bind(owens_t_sort_proxy<typename std::vector<RealType>::size_type, RealType>, _1, _2, &memory[0]));
+
+        val = memory[ndx_4_sorted_data[0]];
+        for(unsigned i = 1; i != memory.size(); i++)
+        {
+          val+=memory[ndx_4_sorted_data[i]];
+        }
+
+        // split the exponential to avoid values that go below the minimum floating pt value
+        val *= exp(-half<RealType>()*hs*as);
+        val *= exp(-half<RealType>()*hs);
+        val *= one_div_two_pi<RealType>() * a;
+
+        return val;
+      } // RealType compute_owens_t_T7(const RealType h, const RealType a)
+
+      // compute Owen's T function, T(h,a), for arbitrary values of h and a
+     template<typename RealType, class Policy>
+     inline RealType owens_t_T7(RealType h, RealType a, const Policy&)
+     {
+        BOOST_MATH_STD_USING
+        // exploit that T(-h,a) == T(h,a)
+        h = fabs(h);
+
+        // Use equation (2) in the paper to remap the arguments
+        // such that h>=0 and 0<=a<=1 for the call of the actual
+        // computation routine.
+
+        const RealType fabs_a = fabs(a);
+        const RealType fabs_ah = fabs_a*h;
+
+        RealType val = 0.0; // avoid compiler warnings, 0.0 will be overwritten in any case
+
+        if(fabs_a <= 1)
+        {
+           val = compute_owens_t_T7(h, fabs_a);
+        } // if(fabs_a <= 1.0)
+        else
+        {
+           if( h <= 0.67 )
+           {
+              const RealType normh = owens_t_znorm1(h);
+              const RealType normah = owens_t_znorm1(fabs_ah);
+              val = static_cast<RealType>(1)/static_cast<RealType>(4) - normh*normah -
+                 compute_owens_t_T7(fabs_ah, static_cast<RealType>(1 / fabs_a));
+           } // if( h <= 0.67 )
+           else
+           {
+              const RealType normh = owens_t_znorm2(h);
+              const RealType normah = owens_t_znorm2(fabs_ah);
+              val = constants::half<RealType>()*(normh+normah) - normh*normah -
+                 compute_owens_t_T7(fabs_ah, static_cast<RealType>(1 / fabs_a));
+           } // else [if( h <= 0.67 )]
+        } // else [if(fabs_a <= 1)]
+
+        // exploit that T(h,-a) == -T(h,a)
+        if(a < 0)
+        {
+           return -val;
+        } // if(a < 0)
+
+        return val;
+      } // RealType owens_t(RealType h, RealType a)
+
+    } // namespace detail
+
+    template <class T1, class T2, class Policy>
+    inline typename tools::promote_args<T1, T2>::type owens_t_T7(T1 h, T2 a, const Policy& pol)
+    {
+       typedef typename tools::promote_args<T1, T2>::type result_type;
+       typedef typename policies::evaluation<result_type, Policy>::type value_type;
+       return policies::checked_narrowing_cast<result_type, Policy>(detail::owens_t_T7(static_cast<value_type>(h), static_cast<value_type>(a), pol), "boost::math::owens_t_T7<%1%>(%1%,%1%)");
+    }
+
+    template <class T1, class T2>
+    inline typename tools::promote_args<T1, T2>::type owens_t_T7(T1 h, T2 a)
+    {
+       return owens_t_T7(h, a, policies::policy<>());
+    }
+
+  } // namespace math
+} // namespace boost
+
+#endif
+
+
+
+
+
diff --git a/src/boost/libs/math/test/owens_t_large_data.ipp b/src/boost/libs/math/test/owens_t_large_data.ipp
new file mode 100644
index 00000000..2be92895
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t_large_data.ipp
@@ -0,0 +1,668 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 657> owens_t_large_data = {{
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.7544232754071888169814325928268239884486372691874342956812521082730648643186974640936808405777870468e-07) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.4468991818847944488358292096162674677254240401591803431829935684111943192188266678541525762196399584e-07) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.1570593987311932421290676513166688187937163430741211292434026295198499510842189554839176055050374544e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.2281699574525694076153268820857826830055812284202546456173259636892591278545272175070257347473957471e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.7368999149782398254303511225955773937565838792307860324522944171713046852204658446919929065792444550e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.5628368807778517977859121445879678015097215977830989982024716756760879493692438419837710322114090046e-06) }},
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+      {{ SC_(1.1692915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.8581125987900148136685695790818649057329338819283224343792518222847326250421716755439348555498127238e-296897)) }},
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+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(1.7597597436325055972634718522220426212702069266812096059615722913116180005190943766492280430711117497e-919522)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.2021695856874333270623678271067456417537288897000267140098389430600909588495832776234931875006476577e-919522)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(7.3920189557352194514041483196549084145232686747069271738866520005014434188749738836078858215280757426e-919522)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.4233505043748575023308762723822033477657491140048764647395456111499559736339708658692516221704593079e-919521)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.7482031628011484397489728962165412236547763717085257853320240426084175728151804834921488196355444925e-919521)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(6.0940349748973623924678916858140674019196678129033371510361016631737514328745843149845051413898421089e-919521)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.1761425142629714374337902954532956772848214641487992569679141623984379181022314098295964045490282228e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.4921575675714886039013116347465063638075462427588862080806235068818061657639910522587815581065793740e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(3.6404425913195936667504068902365201913614522154762838732802741304111656818341633331981127675343379340e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.0243622088128554435191316794988139702690192950382879753628220979315939788469475119067572869109365823e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(6.0232318585814806386528043241545168362070894038880134460634781805774910337373639244007382572032739234e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(6.1930029530840349796555101262931653172778996929860412999366008480143605888116336741905714651068083749e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(6.1930029561927905678974990427784242270077096938050545809821594969347427521187083826032782145093546296e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(9.2842318117618560791015625000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(6.1930029561927905678975045887922892102716120847230551878403312503457709682266545618851313669822996153e-919520)) }},
+      {{ SC_(2.0577958984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(2.4170018732547760009765625000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(BOOST_MATH_SMALL_CONSTANT(6.1930029561927905678975045887922892102716120847230551878403312503457709682266545760776342308015418153e-919520)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(1.0525398275059144725168417541705374242914915745043431027068442519067648540655615453294018295229250785e-7364238)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(1.3171410287072103399076637748723819745032446141490297880616222055468557262269877310462543192082170899e-7364238)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(4.4201920583903423065318372720977986510574820288886700128738096978326145751630674480656284955383335768e-7364238)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(8.5051623569743158181825715259924037431639019090971787425979767700044168596452330653188384660148169674e-7364238)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.0441158791802116525106442322553609028306185806679638815053355610949452816377018850476899927399708865e-7364237)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(3.5810621278721210036240745745663277491200018237826028412131086018157133354057210091634987909385143503e-7364237)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(6.5910399264914145173198681602471235184784666648671067791498125124815345989006355326089516634013338218e-7364237)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(8.0446821095168455006004359073046215436139735578091653870570118151193324069294134892808171480496532727e-7364237)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.2823407798743511272955091153512987727105904222018559740249994092427989312480497425115999759455634694e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.3086457964220495340954575703646204789117605705244151049252365087803468138590902594901164657128387080e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067646161723368419438872527923212294519529966183445154911733502300409299439547471896455881465430e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037598379950751785021399069180527750e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037631650829003683555763256858199512e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(9.2842318117618560791015625000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037631650829003683555763256858199512e-7364236)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.1460910126808256437221882864022983158438922650000967743864366525786529953482033115320926210514190529e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.6855661004158066957943934203384618739066807123222414494049700750977677900290939349719070748778501628e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(9.0089355574084103861847668715827665447985524719642752183991709406249330637444297990020228815682957568e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.7314373933567563034602442003186957335351743568650079511748232590886004613313821339535879806965627271e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(2.1238291065279985182469561750406425281625133126139925168706952109487228868188858453351513019793341727e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(7.0949429779646256395875711680093090195119043237924916717227875947607106837185843925800758149036661234e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.2156438494145304799031308191228917318034309870971173838131107438974843026015387093947400415029086379e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.4081055225287483129836024489937471020027347843038372498027258579723331285416090282955036274034849093e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.7049719529195415909040690657184177013124539889410171908393326581375170865999589467830086225856426259e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054517905138966228117720801844351567884321129433005513317115322908076203944163894153753323401237178e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951032784201664373345093212443227152085026878174600621679781157245312813329607041176e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951035423912776945675490572382395279302460767285286806703096097254342933798706666437e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951035423912776945675490572382395279302460767285286806703096097254342933798706666437e-18034603)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.2365386985485824452046302463808405986528968739910240838150034067616028395262947707375748177185020974e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.7980372303175708629519503157005395955035480860084504850660947581670772932100736721862285533753064708e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(9.3187806748346024411523370745020464683699718722277865926945189587484276690724617184400830103281123912e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.7535164229501810134504007955113598900511342494316788134248364003277800751640283235910734508850774472e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(2.1200035538641165381014264977857554068500018403848883400543495607177000965263856118008476656721632925e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(4.8565971982391923686204287957318562939706150528989986320223263391446488385670167788549721224249706168e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1615092093123733131361051696873812485255649847963346073902972494720967345980619337208590622361446865e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627686350879215611350573193235540804020951109258981251983133082916047387528683970349337461226953642e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390328438532868362855116491991490232362371244417345061392918664400449e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390674008441557196974871479139803402308298850057953535052644800142655e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390674008441557196974871479139803402308298850057953535053712048715547e-213926795)) }}
+   }};
+
diff --git a/src/boost/libs/math/test/pch.hpp b/src/boost/libs/math/test/pch.hpp
new file mode 100644
index 00000000..1056bd85
--- /dev/null
+++ b/src/boost/libs/math/test/pch.hpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions.hpp>
+#include <boost/math/distributions.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/type_traits.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include <iomanip>
+
+#endif
diff --git a/src/boost/libs/math/test/pch_light.hpp b/src/boost/libs/math/test/pch_light.hpp
new file mode 100644
index 00000000..7d1174a2
--- /dev/null
+++ b/src/boost/libs/math/test/pch_light.hpp
@@ -0,0 +1,21 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/type_traits.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include<iomanip>
+
+#endif
diff --git a/src/boost/libs/math/test/poisson_quantile.ipp b/src/boost/libs/math/test/poisson_quantile.ipp
new file mode 100644
index 00000000..88a00ae4
--- /dev/null
+++ b/src/boost/libs/math/test/poisson_quantile.ipp
@@ -0,0 +1,632 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 619> poisson_quantile_data = {{
+      {{ SC_(2.539736270904541015625), SC_(0.097540400922298431396484375), SC_(0.1236392659323415267286721455855935332272165776019), SC_(4.1794244675777288954971650240102219690023733491107) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.12698681652545928955078125), SC_(0.29692152360861802647109703200927257466043783201072), SC_(3.8759279753758017243263560996428606489658831749751) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.135477006435394287109375), SC_(0.34320650665410472759846385302850183249926507900385), SC_(3.7989374337321363992500232228194835442428384328783) }}, 
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+      {{ SC_(13472.287109375), SC_(0.835008561611175537109375), SC_(13584.84783738172991634549579798610296097967425791), SC_(13358.709368495873114850112384880806538400658276777) }}, 
+      {{ SC_(13472.287109375), SC_(0.905791938304901123046875), SC_(13624.572865617532065585542679501501354564267191607), SC_(13319.24467375842712259059005432054226850476838892) }}, 
+      {{ SC_(13472.287109375), SC_(0.9133758544921875), SC_(13629.997967694922530299857221893979430454373232789), SC_(13313.861122058286460766002537973251312862384527324) }}, 
+      {{ SC_(13472.287109375), SC_(0.957506835460662841796875), SC_(13672.040076812056139173655258967916835983691304596), SC_(13272.189769794293141289802429921883590322240623341) }}, 
+      {{ SC_(13472.287109375), SC_(0.964888513088226318359375), SC_(13682.307154187056918977757761381544778907402334372), SC_(13262.026338628394852723091843869472676980570491091) }}, 
+      {{ SC_(13472.287109375), SC_(0.967694938182830810546875), SC_(13686.679853573044805715245773961497453039600405299), SC_(13257.699341444709197060065421653399200238946200322) }}, 
+      {{ SC_(13472.287109375), SC_(0.968867778778076171875), SC_(13688.600726767116170546457425717608064097667372415), SC_(13255.798839109163404233963534674631378011190564693) }}, 
+      {{ SC_(13472.287109375), SC_(0.992881298065185546875), SC_(13757.132735620495312173288987252384908485800121366), SC_(13188.11099623988365459730671377960849979963440631) }}, 
+      {{ SC_(13472.287109375), SC_(0.996461331844329833984375), SC_(13785.42461768262875823645818711186354219560847756), SC_(13160.234048332580281387288998623329226376221006978) }}, 
+      {{ SC_(21533.0078125), SC_(0.097540400922298431396484375), SC_(21342.489530774528422442751297452797856912271534306), SC_(21722.752369341177445966709513523872359998152638084) }}, 
+      {{ SC_(21533.0078125), SC_(0.12698681652545928955078125), SC_(21365.163134860999454698235267807132982623870326046), SC_(21699.952927406596208517823030105742141485690107312) }}, 
+      // This next one is disabled, because rounding the expected result to float 
+      // results in a change of value when rounding the result.
+      // {{ SC_(21533.0078125), SC_(0.135477006435394287109375), SC_(21371.000635839925468224783394436264380332621650997), SC_(21694.085625753365583876792313211090140641237364813) }}, 
+      {{ SC_(21533.0078125), SC_(0.188381969928741455078125), SC_(21402.770687925746754018108265475209057176344684766), SC_(21662.172014146846950443900950560166812044088262695) }}, 
+      {{ SC_(21533.0078125), SC_(0.22103404998779296875), SC_(21419.638962869415971010599238922528933576697585819), SC_(21645.240296989914953912074020329465712841475123166) }}, 
+      {{ SC_(21533.0078125), SC_(0.278498232364654541015625), SC_(21446.216338805119994100950385012299870473665630669), SC_(21618.580928476108223370743123436382577519047601928) }}, 
+      {{ SC_(21533.0078125), SC_(0.308167040348052978515625), SC_(21458.857981420800853369438097216364035795967755877), SC_(21605.907993215065680862411562940327751235639835825) }}, 
+      {{ SC_(21533.0078125), SC_(0.546881496906280517578125), SC_(21549.627545070877730360754111396995498261412405609), SC_(21515.059369307696871271661919837674378168993970665) }}, 
+      {{ SC_(21533.0078125), SC_(0.54722058773040771484375), SC_(21549.753179571013263889918578328687169704467238534), SC_(21514.933802263490359509166807428906690586363289475) }}, 
+      {{ SC_(21533.0078125), SC_(0.6323592662811279296875), SC_(21581.974601302864615857244782514336741884395734384), SC_(21482.745794398686763439050080601847328209204644086) }}, 
+      {{ SC_(21533.0078125), SC_(0.814723670482635498046875), SC_(21663.872367350387475035008256452069501897450083904), SC_(21401.077193458745796458879598059735976167554307072) }}, 
+      {{ SC_(21533.0078125), SC_(0.835008561611175537109375), SC_(21675.446827929503803640203376831878825072934453297), SC_(21389.551784654799299671107702856803076075076776328) }}, 
+      {{ SC_(21533.0078125), SC_(0.905791938304901123046875), SC_(21725.634765736413776389143291809050357300699306627), SC_(21339.6241795405693269559823355712767928082592718) }}, 
+      {{ SC_(21533.0078125), SC_(0.9133758544921875), SC_(21732.48796045968784137781373249147199899474733742), SC_(21332.8125350427175652901170857351517464592136753) }}, 
+      {{ SC_(21533.0078125), SC_(0.957506835460662841796875), SC_(21785.590741330979888005344804033132087524399988861), SC_(21280.080509386589379665484620938712973319935895665) }}, 
+      {{ SC_(21533.0078125), SC_(0.964888513088226318359375), SC_(21798.557218003432867406166855932357022109497728002), SC_(21267.217678374239705649203964780441964266860151737) }}, 
+      {{ SC_(21533.0078125), SC_(0.967694938182830810546875), SC_(21804.079374038028385048187041100264350787618846948), SC_(21261.741224287222313604821025048565879887594278124) }}, 
+      {{ SC_(21533.0078125), SC_(0.968867778778076171875), SC_(21806.505150808045188175269798380893915291446599662), SC_(21259.335818259699059193512358302672174062051718198) }}, 
+      {{ SC_(21533.0078125), SC_(0.992881298065185546875), SC_(21893.035484643765250702345204307305220150252817399), SC_(21173.649644247497441133933107438101115419091883006) }}, 
+      {{ SC_(21533.0078125), SC_(0.996461331844329833984375), SC_(21928.748866501301794010747676997623434830926924354), SC_(21138.35119254861052629794920186014308896076971475) }}, 
+      {{ SC_(36064.203125), SC_(0.097540400922298431396484375), SC_(35817.756768465760157590621734165018504764822234946), SC_(36309.87575645560720888470897187326305111307971067) }}, 
+      {{ SC_(36064.203125), SC_(0.12698681652545928955078125), SC_(35847.118451935014429046646043595383698848956280643), SC_(36280.388235416270565451383221510177119530752580683) }}, 
+      {{ SC_(36064.203125), SC_(0.135477006435394287109375), SC_(35854.677469154058812990446398308816060488884214194), SC_(36272.799417582977292393610184889120531754662042693) }}, 
+      {{ SC_(36064.203125), SC_(0.188381969928741455078125), SC_(35895.813963688688899347185287707174915963110925951), SC_(36231.519363785909686114717073499040831813259848196) }}, 
+      {{ SC_(36064.203125), SC_(0.22103404998779296875), SC_(35917.653456211419739834853063677815640317758960528), SC_(36209.61642914766359611814946788126355540985450165) }}, 
+      {{ SC_(36064.203125), SC_(0.278498232364654541015625), SC_(35952.060752264711660225756482245675795827380357506), SC_(36175.127140627721533908135757767552638737317829985) }}, 
+      {{ SC_(36064.203125), SC_(0.308167040348052978515625), SC_(35968.425594177917174114988015625463665216529807154), SC_(36158.731006107268024793529385791325197439496378759) }}, 
+      {{ SC_(36064.203125), SC_(0.546881496906280517578125), SC_(36085.90704613659583139939209269495550265372509376), SC_(36041.170493976707019744110284599564890573120559004) }}, 
+      {{ SC_(36064.203125), SC_(0.54722058773040771484375), SC_(36086.069626640932451371680215150290901608708630273), SC_(36041.007980928233195582697368438443122786769469145) }}, 
+      {{ SC_(36064.203125), SC_(0.6323592662811279296875), SC_(36127.764204300101112509183105856533197297089468966), SC_(35999.346817101912053061808800875199004294182125904) }}, 
+      {{ SC_(36064.203125), SC_(0.814723670482635498046875), SC_(36233.718875717808828467602793313871953177027240436), SC_(35893.621310482160314578578260464699451147711607827) }}, 
+      {{ SC_(36064.203125), SC_(0.835008561611175537109375), SC_(36248.690808962376388084529607619710721880422487915), SC_(35878.698428929463581276848946039910866441775986925) }}, 
+      {{ SC_(36064.203125), SC_(0.905791938304901123046875), SC_(36313.603520004301043829040859165025143758574372428), SC_(35814.04605003764537924388506916510248513184115016) }}, 
+      {{ SC_(36064.203125), SC_(0.9133758544921875), SC_(36322.466512379710977125706991116296873669955779604), SC_(35805.224607785412252967347192248072950856592829061) }}, 
+      {{ SC_(36064.203125), SC_(0.957506835460662841796875), SC_(36391.135299980195669560575736147367436281777633283), SC_(35736.926574297038969011121854824598284630491333953) }}, 
+      {{ SC_(36064.203125), SC_(0.964888513088226318359375), SC_(36407.900717612615585771720933010639586549398001689), SC_(35720.264801955017393133538609471435523920615869955) }}, 
+      {{ SC_(36064.203125), SC_(0.967694938182830810546875), SC_(36415.040536152281865027842381342733053433785349414), SC_(35713.170685191394470780844154374449975091285878881) }}, 
+      {{ SC_(36064.203125), SC_(0.968867778778076171875), SC_(36418.176877787056615649047742815339774220928179991), SC_(35710.054714220975799133006437370089582352859367611) }}, 
+      {{ SC_(36064.203125), SC_(0.992881298065185546875), SC_(36530.036726520261049674022412341545736190010493948), SC_(35599.039021162752923959319339473143116039188421182) }}, 
+      {{ SC_(36064.203125), SC_(0.996461331844329833984375), SC_(36576.19456101664404260142699288335175602354959484), SC_(35553.29611413405182964733910119676514324895954306) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/polynomial_concept_check.cpp b/src/boost/libs/math/test/polynomial_concept_check.cpp
new file mode 100644
index 00000000..35b5bc33
--- /dev/null
+++ b/src/boost/libs/math/test/polynomial_concept_check.cpp
@@ -0,0 +1,57 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+
+template <class T>
+bool check_concepts()
+{
+   boost::math::tools::polynomial<T> a(2), b(3), c(4);
+
+   a += b;
+   a -= b;
+   a *= b;
+   a /= b;
+   a %= b;
+   a = c;
+   a += b + c;
+   a += b - c;
+   a += b * c;
+   a += b / c;
+   a += b % c;
+
+   int i = 4;
+
+   a += i;
+   a -= i;
+   a *= i;
+   a /= i;
+   a %= i;
+   a += b + i;
+   a += i + b;
+   a += b - i;
+   a += i - b;
+   a += b * i;
+   a += i * b;
+   a += b / i;
+   a += b % i;
+
+   bool bb = false;
+   bb |= a == b;
+   bb |= a != b;
+
+   return bb;
+}
+
+int main()
+{
+   check_concepts<int>();
+   check_concepts<boost::multiprecision::cpp_int>();
+   return 0;
+}
+
diff --git a/src/boost/libs/math/test/pow_test.cpp b/src/boost/libs/math/test/pow_test.cpp
new file mode 100644
index 00000000..d004f0d9
--- /dev/null
+++ b/src/boost/libs/math/test/pow_test.cpp
@@ -0,0 +1,226 @@
+//  Boost pow_test.cpp test file
+//  Tests the pow function
+
+//  (C) Copyright Bruno Lalande 2008.
+//  Distributed under the Boost Software License, Version 1.0.
+//  (See accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <string>
+#include <iostream>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/typeof/typeof.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/static_assert.hpp>
+
+#include <boost/math/special_functions/pow.hpp>
+
+#include BOOST_TYPEOF_INCREMENT_REGISTRATION_GROUP()
+BOOST_TYPEOF_REGISTER_TYPE(boost::math::concepts::real_concept)
+
+using namespace boost;
+using namespace boost::math;
+
+template <int N, class T>
+void test_pow(T base)
+{
+    typedef typename tools::promote_args<T>::type result_type;
+
+    BOOST_MATH_STD_USING
+
+    if ((base == 0) && N < 0)
+    {
+       BOOST_MATH_CHECK_THROW(math::pow<N>(base), std::overflow_error);
+    }
+    else
+    {
+       BOOST_CHECK_CLOSE(math::pow<N>(base),
+              pow(static_cast<result_type>(base), static_cast<result_type>(N)),
+              boost::math::tools::epsilon<result_type>() * 100 * 400); // 400 eps as a %
+    }
+}
+
+template <int N, class T>
+void test_with_big_bases()
+{
+    for (T base = T(); base < T(1000); ++base)
+        test_pow<N>(base);
+}
+
+template <int N, class T>
+void test_with_small_bases()
+{
+    T base = 0.9f;
+    for (int i = 0; i < 10; ++i)
+    {
+        base += base/50;
+        test_pow<N>(base);
+    }
+}
+
+template <class T, int Factor>
+void test_with_small_exponents()
+{
+    test_with_big_bases<0, T>();
+    test_with_big_bases<Factor*1, T>();
+    test_with_big_bases<Factor*2, T>();
+    test_with_big_bases<Factor*3, T>();
+    test_with_big_bases<Factor*5, T>();
+    test_with_big_bases<Factor*6, T>();
+    test_with_big_bases<Factor*7, T>();
+    test_with_big_bases<Factor*8, T>();
+    test_with_big_bases<Factor*9, T>();
+    test_with_big_bases<Factor*10, T>();
+    test_with_big_bases<Factor*11, T>();
+    test_with_big_bases<Factor*12, T>();
+}
+
+template <class T, int Factor>
+void test_with_big_exponents()
+{
+    test_with_small_bases<Factor*50, T>();
+    test_with_small_bases<Factor*100, T>();
+    test_with_small_bases<Factor*150, T>();
+    test_with_small_bases<Factor*200, T>();
+    test_with_small_bases<Factor*250, T>();
+    test_with_small_bases<Factor*300, T>();
+    test_with_small_bases<Factor*350, T>();
+    test_with_small_bases<Factor*400, T>();
+    test_with_small_bases<Factor*450, T>();
+    test_with_small_bases<Factor*500, T>();
+}
+
+
+void test_return_types()
+{
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>('\1')), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(L'\2')), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(3)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(4u)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(5ul)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(6.0f)), float>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(7.0)), double>::value));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(7.0l)), long double>::value));
+#endif
+}
+
+
+namespace boost { namespace math { namespace policies {
+template <class T>
+T user_overflow_error(const char*, const char*, const T&)
+{ return T(123.45); }
+}}}
+
+namespace boost { namespace math { namespace policies {
+template <class T>
+T user_indeterminate_result_error(const char*, const char*, const T&)
+{ return T(456.78); }
+}}}
+
+
+void test_error_policy()
+{
+    using namespace policies;
+
+    BOOST_CHECK(pow<-2>(
+                    0.0,
+                    policy< ::boost::math::policies::overflow_error<user_error> >()
+                )
+                == 123.45);
+
+    BOOST_CHECK(pow<0>(
+                    0.0,
+                    policy< ::boost::math::policies::indeterminate_result_error<user_error> >()
+                )
+                == 456.78);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    using namespace std;
+
+    cout << "Testing with integral bases and positive small exponents" << endl;
+    test_with_small_exponents<int, 1>();
+    cout << "Testing with integral bases and negative small exponents" << endl;
+    test_with_small_exponents<int, -1>();
+
+    cout << "Testing with float precision bases and positive small exponents" << endl;
+    test_with_small_exponents<float, 1>();
+    cout << "Testing with float precision bases and negative small exponents" << endl;
+    test_with_small_exponents<float, -1>();
+
+    cout << "Testing with float precision bases and positive big exponents" << endl;
+    test_with_big_exponents<float, 1>();
+    cout << "Testing with float precision bases and negative big exponents" << endl;
+    test_with_big_exponents<float, -1>();
+
+     cout << "Testing with double precision bases and positive small exponents" << endl;
+    test_with_small_exponents<double, 1>();
+    cout << "Testing with double precision bases and negative small exponents" << endl;
+    test_with_small_exponents<double, -1>();
+
+    cout << "Testing with double precision bases and positive big exponents" << endl;
+    test_with_big_exponents<double, 1>();
+    cout << "Testing with double precision bases and negative big exponents" << endl;
+    test_with_big_exponents<double, -1>();
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    cout << "Testing with long double precision bases and positive small exponents" << endl;
+    test_with_small_exponents<long double, 1>();
+    cout << "Testing with long double precision bases and negative small exponents" << endl;
+    test_with_small_exponents<long double, -1>();
+
+    cout << "Testing with long double precision bases and positive big exponents" << endl;
+    test_with_big_exponents<long double, 1>();
+    cout << "Testing with long double precision bases and negative big exponents" << endl;
+    test_with_big_exponents<long double, -1>();
+
+    cout << "Testing with concepts::real_concept precision bases and positive small exponents" << endl;
+    test_with_small_exponents<boost::math::concepts::real_concept, 1>();
+    cout << "Testing with concepts::real_concept precision bases and negative small exponents" << endl;
+    test_with_small_exponents<boost::math::concepts::real_concept, -1>();
+
+    cout << "Testing with concepts::real_concept precision bases and positive big exponents" << endl;
+    test_with_big_exponents<boost::math::concepts::real_concept, 1>();
+    cout << "Testing with concepts::real_concept precision bases and negative big exponents" << endl;
+    test_with_big_exponents<boost::math::concepts::real_concept, -1>();
+#endif
+
+    test_return_types();
+
+    test_error_policy();
+}
+
+/*
+
+  Running 1 test case...
+  Testing with integral bases and positive small exponents
+  Testing with integral bases and negative small exponents
+  Testing with float precision bases and positive small exponents
+  Testing with float precision bases and negative small exponents
+  Testing with float precision bases and positive big exponents
+  Testing with float precision bases and negative big exponents
+  Testing with double precision bases and positive small exponents
+  Testing with double precision bases and negative small exponents
+  Testing with double precision bases and positive big exponents
+  Testing with double precision bases and negative big exponents
+  Testing with long double precision bases and positive small exponents
+  Testing with long double precision bases and negative small exponents
+  Testing with long double precision bases and positive big exponents
+  Testing with long double precision bases and negative big exponents
+  Testing with concepts::real_concept precision bases and positive small exponents
+  Testing with concepts::real_concept precision bases and negative small exponents
+  Testing with concepts::real_concept precision bases and positive big exponents
+  Testing with concepts::real_concept precision bases and negative big exponents
+  
+  *** No errors detected
+
+  */
diff --git a/src/boost/libs/math/test/powm1_data.ipp b/src/boost/libs/math/test/powm1_data.ipp
new file mode 100644
index 00000000..46b0984a
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_data.ipp
@@ -0,0 +1,5468 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 5456> powm1_big_data = {{
+   {{ SC_(1.40358693897724151611328125000000000e-02), SC_(-9.68600749969482421875000000000000000e-01), SC_(6.13139649749185859889568752274202153e+01) }},
+   {{ SC_(1.37798525393009185791015625000000000e-02), SC_(-4.72685337066650390625000000000000000e-01), SC_(6.57795125861153135596682898302650714e+00) }},
+   {{ SC_(1.52787789702415466308593750000000000e-02), SC_(-9.95417833328247070312500000000000000e-01), SC_(6.32082071148443988316942482481809539e+01) }},
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+   {{ SC_(3.92699003219604492187500000000000000e-01), SC_(-2.00084991455078125000000000000000000e+01), SC_(1.32511681005994133513825663885108569e+08) }},
+   {{ SC_(3.92699003219604492187500000000000000e-01), SC_(2.00084915161132812500000000000000000e+01), SC_(-9.99999992453441717948213899270564454e-01) }},
+   {{ SC_(4.30198628547718840773584982070004252e-42), SC_(-1.96349561214447021484375000000000000e-01), SC_(1.32513746693747491403890537797416490e+08) }},
+   {{ SC_(1.96349501609802246093750000000000000e-01), SC_(-1.14888191223144531250000000000000000e+01), SC_(1.32511238199277123994169005161361076e+08) }},
+   {{ SC_(1.96349501609802246093750000000000000e-01), SC_(1.14888153076171875000000000000000000e+01), SC_(-9.99999992453423454105390532743860649e-01) }},
+   {{ SC_(9.81747508049011230468750000000000000e-02), SC_(-8.05778884887695312500000000000000000e+00), SC_(1.32511236600194321144472081902988900e+08) }},
+   {{ SC_(9.81747508049011230468750000000000000e-02), SC_(8.05778503417968750000000000000000000e+00), SC_(-9.99999992453403408755134486424680238e-01) }},
+   {{ SC_(4.90873754024505615234375000000000000e-02), SC_(-6.20478630065917968750000000000000000e+00), SC_(1.32511196333613501625056681220635449e+08) }},
+   {{ SC_(4.90873754024505615234375000000000000e-02), SC_(6.20478439331054687500000000000000000e+00), SC_(-9.99999992453424546906418471379431692e-01) }},
+   {{ SC_(2.45436877012252807617187500000000000e-02), SC_(-5.04468727111816406250000000000000000e+00), SC_(1.32510444682153244308944741276249743e+08) }},
+   {{ SC_(2.45436877012252807617187500000000000e-02), SC_(5.04468727111816406250000000000000000e+00), SC_(-9.99999992453425125452718343016626620e-01) }},
+   {{ SC_(1.22718438506126403808593750000000000e-02), SC_(-4.25006103515625000000000000000000000e+00), SC_(1.32510381066245855377858266863800391e+08) }},
+   {{ SC_(1.22718438506126403808593750000000000e-02), SC_(4.25006103515625000000000000000000000e+00), SC_(-9.99999992453421502474647969430194543e-01) }},
+   {{ SC_(6.13592192530632019042968750000000000e-03), SC_(-3.67170429229736328125000000000000000e+00), SC_(1.32510758104285983489485249432557085e+08) }},
+   {{ SC_(6.13592192530632019042968750000000000e-03), SC_(3.67170333862304687500000000000000000e+00), SC_(-9.99999992453406316573389351881712106e-01) }},
+   {{ SC_(3.06796096265316009521484375000000000e-03), SC_(-3.23190021514892578125000000000000000e+00), SC_(1.32510585900182699403632785183039269e+08) }},
+   {{ SC_(3.06796096265316009521484375000000000e-03), SC_(3.23189926147460937500000000000000000e+00), SC_(-9.99999992453391520816030464475703070e-01) }},
+   {{ SC_(1.53398048132658004760742187500000000e-03), SC_(-2.88618755340576171875000000000000000e+00), SC_(1.32510949539383669902674940342567829e+08) }},
+   {{ SC_(1.53398048132658004760742187500000000e-03), SC_(2.88618659973144531250000000000000000e+00), SC_(-9.99999992453407241797117696042091820e-01) }},
+}};
+
+// 5456
diff --git a/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp b/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp
new file mode 100644
index 00000000..c3a60b4c
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp
@@ -0,0 +1,78 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/test.hpp>
+#include "powm1_sqrtp1m1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions powm1 and sqrt1pm1.  
+// The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 2);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_powm1_sqrtp1m1(1.0F, "float");
+   test_powm1_sqrtp1m1(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_powm1_sqrtp1m1(1.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_powm1_sqrtp1m1(boost::math::concepts::real_concept(), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp b/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp
new file mode 100644
index 00000000..ad461e7f
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp
@@ -0,0 +1,1610 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+void test_powm1_sqrtp1m1(T, const char* type_name)
+{
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 141> sqrtp1m1_data = {{
+      {{ SC_(-0.990433037281036376953125), SC_(-0.902189148255607021082179865003660033379) }}, 
+      {{ SC_(-0.928576648235321044921875), SC_(-0.7327485233629588435419837213946140663952) }}, 
+      {{ SC_(-0.804919183254241943359375), SC_(-0.5583204592175928547330219789723812512248) }}, 
+      {{ SC_(-0.780276477336883544921875), SC_(-0.5312532425038905348288090678272629719499) }}, 
+      {{ SC_(-0.775070965290069580078125), SC_(-0.525733160857803152349794525146692520785) }}, 
+      {{ SC_(-0.74602639675140380859375), SC_(-0.4960420620244223284705423670972348730775) }}, 
+      {{ SC_(-0.72904598712921142578125), SC_(-0.4794675678972648545670296583048773096015) }}, 
+      {{ SC_(-0.7162272930145263671875), SC_(-0.4672967927771847619430106324762494277417) }}, 
+      {{ SC_(-0.68477380275726318359375), SC_(-0.4385499156267435234127335149836228483716) }}, 
+      {{ SC_(-0.62323606014251708984375), SC_(-0.3861890031471553130754715740017444288273) }}, 
+      {{ SC_(-0.576151371002197265625), SC_(-0.3489634196162225368137418186622322770468) }}, 
+      {{ SC_(-0.5579319000244140625), SC_(-0.3351179804088653673227401220715512851566) }}, 
+      {{ SC_(-0.44300353527069091796875), SC_(-0.2536780421766293214167684432407843582845) }}, 
+      {{ SC_(-0.40594112873077392578125), SC_(-0.2292478535422518369418742953348121057781) }}, 
+      {{ SC_(-0.38366591930389404296875), SC_(-0.2149305249240001453212315877592832894955) }}, 
+      {{ SC_(-0.277411997318267822265625), SC_(-0.1499482352928545459530860365223688354153) }}, 
+      {{ SC_(-0.202522933483123779296875), SC_(-0.1069842854031759981174720343292165991554) }}, 
+      {{ SC_(-0.156477451324462890625), SC_(-0.08156516362044655434273010203540784115386) }}, 
+      {{ SC_(-0.029248714447021484375), SC_(-0.01473288619127324715091701268111937769847) }}, 
+      {{ SC_(0.1431564604442703013402649929484277542953e-29), SC_(0.7157823022213515067013249647418825993242e-30) }}, 
+      {{ SC_(0.1791466932348087634896446282571611213266e-29), SC_(0.8957334661740438174482231412854044374117e-30) }}, 
+      {{ SC_(0.6013619202535540063110633226832922483532e-29), SC_(0.3006809601267770031555316613411940789777e-29) }}, 
+      {{ SC_(0.115805324961653822428570241697281798758e-28), SC_(0.5790266248082691121428512084847326346288e-29) }}, 
+      {{ SC_(0.1422457400834001098175711728787848259007e-28), SC_(0.711228700417000549087855864391394898182e-29) }}, 
+      {{ SC_(0.4970121018327539153628705477876439795096e-28), SC_(0.2485060509163769576814352738907342268877e-28) }}, 
+      {{ SC_(0.9660079415057497591758174164417478444323e-28), SC_(0.483003970752874879587908708209209280428e-28) }}, 
+      {{ SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.6164646566265910656881655476946945507336e-28) }}, 
+      {{ SC_(0.3296523285617759312781860549364832953326e-27), SC_(0.1648261642808879656390930274546578154505e-27) }}, 
+      {{ SC_(0.528364435768055252017009628713605422886e-27), SC_(0.26418221788402762600850481432190658932e-27) }}, 
+      {{ SC_(0.886586057273120049620324386849842094685e-27), SC_(0.4432930286365600248101621933266666927236e-27) }}, 
+      {{ SC_(0.2499669674831043259218157022821422146034e-26), SC_(0.1249834837415521629609078510629667512608e-26) }}, 
+      {{ SC_(0.4131050397232622964314362671638736040881e-26), SC_(0.2065525198616311482157181333686170847381e-26) }}, 
+      {{ SC_(0.7679738097881433551381658732998641759182e-26), SC_(0.3839869048940716775690829359127023723085e-26) }}, 
+      {{ SC_(0.199929739820949207249437007767740538737e-25), SC_(0.9996486991047460362471850338422150855758e-26) }}, 
+      {{ SC_(0.5151477415246978459754129800826163591626e-25), SC_(0.2575738707623489229877064867240932346063e-25) }}, 
+      {{ SC_(0.101200734533556026342258477595279955025e-24), SC_(0.5060036726677801317112923751744139374608e-25) }}, 
+      {{ SC_(0.2064292695896540981798546456623054911033e-24), SC_(0.1032146347948270490899273175045223276369e-24) }}, 
+      {{ SC_(0.4063294332896333395257434433879773416284e-24), SC_(0.2031647166448166697628717010560376261299e-24) }}, 
+      {{ SC_(0.8138195767936862452966745688936976428456e-24), SC_(0.406909788396843122648337201659060874841e-24) }}, 
+      {{ SC_(0.9575550627132253801929510132578249716542e-24), SC_(0.478777531356612690096475392014950219861e-24) }}, 
+      {{ SC_(0.2855160956298500804375620841706273850616e-23), SC_(0.1427580478149250402187809401860126128887e-23) }}, 
+      {{ SC_(0.65201444297915461398563707001320281266e-23), SC_(0.3260072214895773069928180036030590895584e-23) }}, 
+      {{ SC_(0.1310988374636350038320977491775043421995e-22), SC_(0.6554941873181750191604865975243736714241e-23) }}, 
+      {{ SC_(0.2590288837798696209228010176465529547374e-22), SC_(0.1295144418899348104613996701237435743037e-22) }}, 
+      {{ SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.1468889771096827601137038857784795823862e-22) }}, 
+      {{ SC_(0.7863513178004503049754083414326234074965e-22), SC_(0.3931756589002251524876964413613741224383e-22) }}, 
+      {{ SC_(0.1903818607087388763706780167350761726053e-21), SC_(0.9519093035436943818533447771092722109619e-22) }}, 
+      {{ SC_(0.3812242142377350870566942975497647799754e-21), SC_(0.1906121071188675435283289822871922426703e-21) }}, 
+      {{ SC_(0.5493133580141330277178034419485741501887e-21), SC_(0.2746566790070665138588640028286254797086e-21) }}, 
+      {{ SC_(0.9672153634284186955666772243312215295852e-21), SC_(0.4836076817142093477832216739707042687854e-21) }}, 
+      {{ SC_(0.1702169477623814384559878647986894129041e-20), SC_(0.8510847388119071922795771513771277983779e-21) }}, 
+      {{ SC_(0.4817114569977399785676754474621208412799e-20), SC_(0.2408557284988699892835476663213068137742e-20) }}, 
+      {{ SC_(0.7538352992756463183303278501219690799218e-20), SC_(0.3769176496378231591644535904879420358976e-20) }}, 
+      {{ SC_(0.2596305715949999708394617609422128090557e-19), SC_(0.1298152857974999854188882800497720744566e-19) }}, 
+      {{ SC_(0.4444587480324321591032923385589104015025e-19), SC_(0.2222293740162160795491768745456732380306e-19) }}, 
+      {{ SC_(0.9715574921498573937069095571295029856174e-19), SC_(0.4857787460749286968416557290578449901693e-19) }}, 
+      {{ SC_(0.2036598542733453787268262970278076551267e-18), SC_(0.1018299271366726893582284814835737930738e-18) }}, 
+      {{ SC_(0.4248971931658660264162106698360155121463e-18), SC_(0.2124485965829330131855381318229788476899e-18) }}, 
+      {{ SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.3260548743806729481275307007092796054895e-18) }}, 
+      {{ SC_(0.1436126164096190058281493628911107407475e-17), SC_(0.718063082048095028882939519555349077068e-18) }}, 
+      {{ SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.1559454450729630579993578498052878596544e-17) }}, 
+      {{ SC_(0.3593346613595175715618300349429858897565e-17), SC_(0.1796673306797587856195132689035439820049e-17) }}, 
+      {{ SC_(0.9445874854124767215374919304693435151421e-17), SC_(0.4722937427062383596534390682373393588305e-17) }}, 
+      {{ SC_(0.2566182432094081539023303073498993853718e-16), SC_(0.1283091216047040761280036193264127770924e-16) }}, 
+      {{ SC_(0.3363765695149349330660137891158001366421e-16), SC_(0.1681882847574674651186419380749519252198e-16) }}, 
+      {{ SC_(0.1073581901339262605326457800103412409953e-15), SC_(0.53679095066963128825600266401137964529e-16) }}, 
+      {{ SC_(0.186668406231853462907965823802669547149e-15), SC_(0.9333420311592672709834617625880158673234e-16) }}, 
+      {{ SC_(0.3727540802657755688795382376099496468669e-15), SC_(0.1863770401328877670715685744569461355954e-15) }}, 
+      {{ SC_(0.6211646767866855090717281839829411183018e-15), SC_(0.3105823383933427063051696310530511222847e-15) }}, 
+      {{ SC_(0.1561186859754253464932505224282976996619e-14), SC_(0.7805934298771264278032012284733416682125e-15) }}, 
+      {{ SC_(0.3092010764722992466335682593125966377556e-14), SC_(0.1546005382361495038101520151206746652194e-14) }}, 
+      {{ SC_(0.6192850577371690132255643845837767003104e-14), SC_(0.3096425288685840272203037716324248888074e-14) }}, 
+      {{ SC_(0.1047879028014987723427253740737796761096e-13), SC_(0.5239395140074924891505551783318071383455e-14) }}, 
+      {{ SC_(0.1978473638988408750405412206418986897916e-13), SC_(0.989236819494199482255280888212449451182e-14) }}, 
+      {{ SC_(0.4041816252346730475863978426787070930004e-13), SC_(0.2020908126173344817583717046094650765545e-13) }}, 
+      {{ SC_(0.9410302262901834580155480125540634617209e-13), SC_(0.4705151131450806597841891098742774312111e-13) }}, 
+      {{ SC_(0.1334530223958893535574077304772799834609e-12), SC_(0.6672651119794245056505554066901540498883e-13) }}, 
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1331485106632107793053653966876952769505e-12) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.29602077625079163483389193486561174812e-12) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(0.7758199464799374943373933162927267207972e-12) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(0.1634616487304670519279090616362400067267e-11) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.1876892955289159453352533516401529801122e-11) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.4789582792863088185252592080679746767978e-11) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.9290837196763851538764282981715353513818e-11) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.2724742653688676823559737485578304836506e-10) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.3044759583301913769320592805847923970217e-10) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.6688723880097794765058899684143827289977e-10) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1277229433245854586915920539477320784002e-9) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.4642802530240543332889135775318577029962e-9) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.8491137234171087978551371134983090509552e-9) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(0.1696779604269267531629088042873986404561e-8) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.3156864320521319970871232105329124668304e-8) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.4191632365743462521529019590756957227221e-8) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.9813155573280803193195787399755096477409e-8) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(0.2628192384714742037346966666026188341227e-7) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(0.5812114354092759417537613189484537667262e-7) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.8884602525353202473263890111106254261705e-7) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1233155794716463747702014149912298889881e-6) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(0.3966343692928262265327186740527956086072e-6) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(0.6860465111931535414103361330991297079332e-6) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(0.1073738181893531617762304794194699568343e-5) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(0.2635110088342783512028120843144783486949e-5) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(0.461657080741584719962950298693491037714e-5) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(0.1346973318119308516416495011442959614762e-4) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(0.1604016193149502975581143111396377659995e-4) }}, 
+      {{ SC_(0.00010957030463032424449920654296875), SC_(0.5478365169091582645735757270110530879622e-4) }}, 
+      {{ SC_(0.000126518702018074691295623779296875), SC_(0.6325735026285620681070344590408428362373e-4) }}, 
+      {{ SC_(0.00028976381872780621051788330078125), SC_(0.0001448714155003885621472683658275189243597) }}, 
+      {{ SC_(0.000687857042066752910614013671875), SC_(0.0003438693979519525361574726383087724411954) }}, 
+      {{ SC_(0.00145484809763729572296142578125), SC_(0.0007271596682270997885618336103424497281234) }}, 
+      {{ SC_(0.0073254108428955078125), SC_(0.003656022172385267560713803761753901548099) }}, 
+      {{ SC_(0.09376299381256103515625), SC_(0.04583124537975104196281645139037475336575) }}, 
+      {{ SC_(0.0944411754608154296875), SC_(0.04615542605332570615786127417302399776704) }}, 
+      {{ SC_(0.264718532562255859375), SC_(0.1245970534205822199491885900676517027912) }}, 
+      {{ SC_(0.27952671051025390625), SC_(0.1311616641799057655376985599143742875242) }}, 
+      {{ SC_(0.31148135662078857421875), SC_(0.1451992650280511659331021017070743457453) }}, 
+      {{ SC_(0.3574702739715576171875), SC_(0.1651052630434546351309425398611544399279) }}, 
+      {{ SC_(0.362719058990478515625), SC_(0.1673555837834839069815597770182209283592) }}, 
+      {{ SC_(0.45167791843414306640625), SC_(0.2048559741455171397876451754340651729329) }}, 
+      {{ SC_(0.58441460132598876953125), SC_(0.2587353182166570039327003862804562417757) }}, 
+      {{ SC_(0.59585726261138916015625), SC_(0.263272441958340655449252054139087309968) }}, 
+      {{ SC_(0.5962116718292236328125), SC_(0.2634127084326893190571263246997038824839) }}, 
+      {{ SC_(0.6005609035491943359375), SC_(0.265132761234643838648662687260938123223) }}, 
+      {{ SC_(0.62944734096527099609375), SC_(0.2764980771490691893425893413189776581002) }}, 
+      {{ SC_(0.67001712322235107421875), SC_(0.2922914234886615056408835783570718269519) }}, 
+      {{ SC_(0.6982586383819580078125), SC_(0.3031725282486421443925178739003813209589) }}, 
+      {{ SC_(0.75686132907867431640625), SC_(0.3254664571684469135448954017993676523574) }}, 
+      {{ SC_(0.81158387660980224609375), SC_(0.3459509190939327287182180832834475919551) }}, 
+      {{ SC_(0.826751708984375), SC_(0.3515737896927326105907938446356122609441) }}, 
+      {{ SC_(0.83147108554840087890625), SC_(0.3533185454830658156956304096558121255029) }}, 
+      {{ SC_(0.8679864406585693359375), SC_(0.3667430046129994134441282712127036765511) }}, 
+      {{ SC_(0.91433393955230712890625), SC_(0.3835945719582406373102286771719657103388) }}, 
+      {{ SC_(0.91501367092132568359375), SC_(0.3838401898056457601350544781643172326518) }}, 
+      {{ SC_(0.918984889984130859375), SC_(0.3852743013512272831269535677278325535267) }}, 
+      {{ SC_(0.92977702617645263671875), SC_(0.3891641465919182859360893492188078577616) }}, 
+      {{ SC_(0.93538987636566162109375), SC_(0.3911829054317989358513931994433199352401) }}, 
+      {{ SC_(0.93773555755615234375), SC_(0.3920257029078710024155036194055376074007) }}, 
+      {{ SC_(0.94118559360504150390625), SC_(0.3932643660142325996680401116017235829116) }}, 
+      {{ SC_(0.96221935749053955078125), SC_(0.4007924034240546775728864480529865192659) }}, 
+      {{ SC_(0.98576259613037109375), SC_(0.4091708896121758495875515950932191750449) }}, 
+      {{ SC_(0.99292266368865966796875), SC_(0.4117091285702801135545007937655927942821) }}, 
+   }};
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1400> powm1_data = {{
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4876113153308343652049349438365788782568e-28) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.6101991796549119337733033929476086235147e-28) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.2048324441766037485142714404837079817647e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3944494481885382670819636026287935618847e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.4845092719324132218645425927278781231393e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.1692894082166527210362866376720838911671e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.3290360780895537432240111567751307160722e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1232929313253182131376331095427391968754e-27), SC_(-0.4199533030361316903341770129910084958631e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3296523285617759312781860549364832953326e-27), SC_(-0.1122842832471787971733666733700489713877e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.528364435768055252017009628713605422886e-27), SC_(-0.1799684601724219422633144864504456459061e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.886586057273120049620324386849842094685e-27), SC_(-0.301983851933262353667369307173490332305e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2499669674831043259218157022821422146034e-26), SC_(-0.851423131205077246153257242575159396693e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4131050397232622964314362671638736040881e-26), SC_(-0.1407094665264327834604146533729082291379e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7679738097881433551381658732998641759182e-26), SC_(-0.261582829282236901328884539002832986633e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.199929739820949207249437007767740538737e-25), SC_(-0.6809891995464351323188379271234568515929e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5151477415246978459754129800826163591626e-25), SC_(-0.1754666656712664684348626881941041760604e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.101200734533556026342258477595279955025e-24), SC_(-0.34470413088736644015953540038270992073e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2064292695896540981798546456623054911033e-24), SC_(-0.7031275246329503001381414764473488822476e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4063294332896333395257434433879773416284e-24), SC_(-0.1384015983694437753942599100031834846519e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.8138195767936862452966745688936976428456e-24), SC_(-0.2771985511871706510319651593329877641942e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9575550627132253801929510132578249716542e-24), SC_(-0.3261569070527988349552625022548697814845e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2855160956298500804375620841706273850616e-23), SC_(-0.9725085302202836634236273890970136659468e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.65201444297915461398563707001320281266e-23), SC_(-0.2220854156138726384270360939328805807496e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1310988374636350038320977491775043421995e-22), SC_(-0.4465413322989495361133815710858355990476e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2590288837798696209228010176465529547374e-22), SC_(-0.8822893101478278733146155237640398711321e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2937779542193655202274099291941187976629e-22), SC_(-0.1000649598540977920935091326953457942208e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7863513178004503049754083414326234074965e-22), SC_(-0.2678424705352926224139081344679444879469e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1903818607087388763706780167350761726053e-21), SC_(-0.6484677619663470968358777401078973025876e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3812242142377350870566942975497647799754e-21), SC_(-0.1298504028134944266344521819289603363198e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.1871039617763820057590094637996686252126e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9672153634284186955666772243312215295852e-21), SC_(-0.3294473432116758998094638207256180094583e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.5797831933845967032001409153808505427486e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4817114569977399785676754474621208412799e-20), SC_(-0.1640777904312887822627372613029956055284e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7538352992756463183303278501219690799218e-20), SC_(-0.2567670510166787584153650238170661635392e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2596305715949999708394617609422128090557e-19), SC_(-0.8843387446340099351857154955251648734277e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.1513889866135372642811595930728137815273e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9715574921498573937069095571295029856174e-19), SC_(-0.3309263341636914772803140564669851761043e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2036598542733453787268262970278076551267e-18), SC_(-0.6936945012060519151079315126759585887524e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4248971931658660264162106698360155121463e-18), SC_(-0.1447260421199383628860906433743869048343e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6521097487613458963613731825259556273977e-18), SC_(-0.2221178781221441480704197986591689852107e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.4891650475869226303643170206367209825168e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1062344840825147041561189485134686674784e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3593346613595175715618300349429858897565e-17), SC_(-0.1223945090048411651974452688903537147646e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9445874854124767215374919304693435151421e-17), SC_(-0.3217399653341720695630524182811530497325e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2566182432094081539023303073498993853718e-16), SC_(-0.8740783246589107366187111286071499874759e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.114574655589157486912055633512820155344e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1073581901339262605326457800103412409953e-15), SC_(-0.3656773025840533327467103325113205753957e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.186668406231853462907965823802669547149e-15), SC_(-0.6358192065586750730853832514556047648021e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3727540802657755688795382376099496468669e-15), SC_(-0.1269653544166010514919541179082417894329e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6211646767866855090717281839829411183018e-15), SC_(-0.2115775453968538439661164062909478793222e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1561186859754253464932505224282976996619e-14), SC_(-0.5317625036268033276607060773206517931366e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3092010764722992466335682593125966377556e-14), SC_(-0.1053182951942663933832876385506518241085e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6192850577371690132255643845837767003104e-14), SC_(-0.2109373203492102058861790697529436159834e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1047879028014987723427253740737796761096e-13), SC_(-0.3569225374615943825992302718383009611711e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.673896330253118868079779235488630600479e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4041816252346730475863978426787070930004e-13), SC_(-0.1376700243226680691549667180741589712713e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.3205283121576780981640095118048982901968e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.4545600218337299481258164553284154943185e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.9070456229087110845090862250063546365371e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.2016577940297158071169597347971748413736e-10) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.5285106706035087367329172863247919698404e-10) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1113547363379608255313626394695583529731e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.1278593002042478917504524915640565559874e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.3262800376442197422488996705022038458178e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1858167439361402273334533674642443656921e-10), SC_(-0.6329183231503080899469654537111874935801e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.1856172392031744263095629658180062804824e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.2074177049579756457337028786392419850624e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1337744776064297980155970435589551925659e-9), SC_(-0.455654943076412885664049644579104536681e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2554458866654840676346793770790100097656e-9), SC_(-0.8700851073320290645945712060227430593679e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9285605062636648199259070679545402526855e-9), SC_(-0.3162809427238687518730427707811416855358e-7) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1698227447555211711005540564656257629395e-8), SC_(-0.5784404650086212080717891696990416782702e-7) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1155894585519911283131451474518816660213e-6) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.2150545767594101004999522536841406461754e-6) }}, 
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+      {{ SC_(9.133758544921875), SC_(0.438671648502349853515625), SC_(1.638819662694764963830781936726649515985) }}, 
+      {{ SC_(9.133758544921875), SC_(0.903765499591827392578125), SC_(6.382473545580206211190860756907471309227) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.279993064468643928226977638193225502021e-27) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.528364435768055252017009628713605422886e-27), SC_(0.1199893424032530976049611749648424671609e-26) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.6671573851883745565690238915558861233449e-22) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.1480913828253450121139914131430527700071e-17) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.7082911013072682747000780572255711975698e-17) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.4457052884132293020120854209156627105415e-7) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.5256384838503436185419559478759765625e-7), SC_(0.1193702973058086549839229184033913497394e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.116242290459922514855861663818359375e-6), SC_(0.2639813902774001345761419758813907104525e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.4035312768290402179724322739059024257911e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.246631174150024889968335628509521484375e-6), SC_(0.5600891862976372697203768774599773207812e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.7932688959044753573834896087646484375e-6), SC_(0.1801481940511445476740974446351987487537e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.1372093493046122603118419647216796875e-5), SC_(0.3115971501912317630070527687604350940031e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.214747751670074649155139923095703125e-5), SC_(0.487684306379282015062143358653997082528e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.527022712049074470996856689453125e-5), SC_(0.1196853588100977502339779488819564685125e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.9233162927557714283466339111328125e-5), SC_(0.2096834472868302910410196802704006676419e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.269396477960981428623199462890625e-4), SC_(0.6118067920858328215848432186906668843509e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.3208058114978484809398651123046875e-4), SC_(0.728563051879196577689828782571903259951e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00010957030463032424449920654296875), SC_(0.0002488605167115786508690708436538612267867) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.000126518702018074691295623779296875), SC_(0.0002873599340757661525877158215704810459439) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00028976381872780621051788330078125), SC_(0.0006582580089946178862548800972604646079047) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.000687857042066752910614013671875), SC_(0.001563315133764469862768389959281037577749) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00145484809763729572296142578125), SC_(0.003309362765364723055307278727456538237784) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.002847635187208652496337890625), SC_(0.006487815096079959006202372484557638978379) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0056468211114406585693359375), SC_(0.01290626953766988799660445158177424847916) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.011621631681919097900390625), SC_(0.02674359636941844621991721651837741451166) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0257236398756504058837890625), SC_(0.06015731222731434671073651753326632370858) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0560617186129093170166015625), SC_(0.1357733748610437010694097215927829841061) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.106835305690765380859375), SC_(0.2745822634838372037418174975910269667509) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.2401093542575836181640625), SC_(0.7250883224868308476529921117348408126984) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.438671648502349853515625), SC_(1.707985158316040663526167707818201486792) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.903765499591827392578125), SC_(6.786671267376742594913276377075578069747) }}, 
+   }};
+
+   using namespace std;
+
+   typedef T (*func_t)(const T&);
+#ifdef SQRT1PM1_FUNCTION_TO_TEST
+   func_t f = SQRT1PM1_FUNCTION_TO_TEST;
+#else
+   func_t f = &boost::math::sqrt1pm1<T>;
+#endif
+
+   boost::math::tools::test_result<T> result;
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SQRT1PM1_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<T>(
+      sqrtp1m1_data, 
+      bind_func<T>(f, 0), 
+      extract_result<T>(1));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for type " << type_name << std::endl << std::endl;
+   handle_test_result(result, sqrtp1m1_data[result.worst()], result.worst(), type_name, "sqrt1pm1", "sqrt1pm1");
+
+#endif
+
+   typedef T (*func2_t)(T const, T const);
+#ifdef POWM1_FUNCTION_TO_TEST
+   func2_t f2 = POWM1_FUNCTION_TO_TEST;
+#else
+   func2_t f2 = &boost::math::powm1<T,T>;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(POWM1_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<T>(
+      powm1_data, 
+      bind_func<T>(f2, 0, 1), 
+      extract_result<T>(2));
+   handle_test_result(result, powm1_data[result.worst()], result.worst(), type_name, "powm1", "powm1");
+#endif
+
+#include "powm1_data.ipp"
+   result = boost::math::tools::test_hetero<T>(
+      powm1_data,
+      bind_func<T>(f2, 0, 1),
+      extract_result<T>(2));
+   handle_test_result(result, powm1_big_data[result.worst()], result.worst(), type_name, "boost::math::powm1", "powm1");
+
+}
+
diff --git a/src/boost/libs/math/test/quaternion_constexpr_test.cpp b/src/boost/libs/math/test/quaternion_constexpr_test.cpp
new file mode 100644
index 00000000..773929c0
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_constexpr_test.cpp
@@ -0,0 +1,165 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/math/quaternion.hpp>
+
+typedef boost::math::quaternion<double> qt;
+typedef std::complex<double> ct;
+
+#ifndef BOOST_NO_CXX14_CONSTEXPR
+
+constexpr qt full_constexpr_test(qt a, qt b, double d, ct c)
+{
+   a.swap(b);
+   qt result(a), t;
+   result += d;
+   result += c;
+   result += b;
+   t = result;
+   t = d;
+   t = c;
+   result -= d;
+   result -= c;
+   result -= a;
+   result *= d;
+   result *= c;
+   result *= a;
+   result /= d;
+   result /= c;
+   result /= b;
+
+   result += a + d;
+   result += d + a;
+   result += a + c;
+   result += c + a;
+   result += a + b;
+
+   result += a - d;
+   result += d - a;
+   result += a - c;
+   result += c - a;
+   result += a - b;
+
+   result += a * d;
+   result += d * a;
+   result += a * c;
+   result += c * a;
+   result += a * b;
+
+   result += a / d;
+   result += d / a;
+   result += a / c;
+   result += c / a;
+   result += a / b;
+
+   result += norm(a);
+   result += conj(a);
+
+   return result;
+}
+
+#endif
+
+int main()
+{
+#ifndef BOOST_NO_CXX11_CONSTEXPR
+
+   constexpr qt q1;
+   constexpr qt q2(2.0);
+   constexpr qt q3(2.0, 3.0);
+   constexpr qt q4(2.0, 3.9, 3.0);
+   constexpr qt q5(2.0, 3.9, 3.0, 5.);
+
+   constexpr ct c1(2., 3.);
+   constexpr qt q6(c1);
+   constexpr qt q7(c1, c1);
+   constexpr qt q8(q1);
+
+   constexpr double d1 = q5.real();
+   constexpr qt q9 = q1.unreal();
+   constexpr double d2 = q1.R_component_1();
+   constexpr double d3 = q1.R_component_2();
+   constexpr double d4 = q1.R_component_3();
+   constexpr double d5 = q1.R_component_4();
+   constexpr ct c2 = q1.C_component_1();
+   constexpr ct c3 = q1.C_component_1();
+
+   constexpr qt q10 = q1 + d1;
+   constexpr qt q11 = d1 + q1;
+   constexpr qt q12 = c2 + q1;
+   constexpr qt q13 = q1 + c2;
+   constexpr qt q14 = q1 + q2;
+
+   constexpr qt q15 = q1 - d1;
+   constexpr qt q16 = d1 - q1;
+   constexpr qt q17 = c2 - q1;
+   constexpr qt q18 = q1 - c2;
+   constexpr qt q19 = q1 - q2;
+
+   constexpr qt q20 = q1 * d1;
+   constexpr qt q21 = d1 * q1;
+   constexpr qt q22 = q5 / d1;
+
+   constexpr double d6 = real(q5);
+   constexpr qt q23 = unreal(q1);
+
+   constexpr bool b1 = q1 == d1;
+   constexpr bool b2 = d1 == q1;
+   constexpr bool b3 = q1 != d1;
+   constexpr bool b4 = d1 != q1;
+
+   constexpr bool b5 = q1 == c2;
+   constexpr bool b6 = c2 == q1;
+   constexpr bool b7 = q1 != c2;
+   constexpr bool b8 = c2 != q1;
+   constexpr bool b9 = q2 == q1;
+   constexpr bool b10 = q1 != q2;
+
+   (void)q9;
+   (void)d2;
+   (void)d3;
+   (void)d4;
+   (void)d6;
+   (void)d5;
+   (void)c3;
+   (void)q10;
+   (void)q11;
+   (void)q12;
+   (void)q13;
+   (void)q14;
+   (void)q15;
+   (void)q16;
+   (void)q17;
+   (void)q18;
+   (void)q19;
+   (void)q20;
+   (void)q21;
+   (void)q22;
+   (void)q23;
+   (void)b1;
+   (void)b2;
+   (void)b3;
+   (void)b4;
+   (void)b5;
+   (void)b6;
+   (void)b7;
+   (void)b8;
+   (void)b9;
+   (void)b10;
+
+#endif
+
+#ifndef BOOST_NO_CXX14_CONSTEXPR
+
+   constexpr qt q24 = full_constexpr_test(q5, q5 + 1, 3.2, q5.C_component_1());
+   (void)q24;
+
+#endif
+
+   return 0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi1.cpp b/src/boost/libs/math/test/quaternion_mi1.cpp
new file mode 100644
index 00000000..961c24c5
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi1.cpp
@@ -0,0 +1,18 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include "quaternion_mi1.h"
+
+
+#include <boost/math/quaternion.hpp>
+
+void    quaternion_mi1()
+{
+    ::boost::math::quaternion<float>    q0;
+    
+    q0 *= q0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi1.h b/src/boost/libs/math/test/quaternion_mi1.h
new file mode 100644
index 00000000..c6e7c4dd
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi1.h
@@ -0,0 +1,13 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1
+#define BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1
+
+void    quaternion_mi1();
+
+#endif /* BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1 */
diff --git a/src/boost/libs/math/test/quaternion_mi2.cpp b/src/boost/libs/math/test/quaternion_mi2.cpp
new file mode 100644
index 00000000..a73b4462
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi2.cpp
@@ -0,0 +1,18 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include "quaternion_mi2.h"
+
+
+#include <boost/math/quaternion.hpp>
+
+void    quaternion_mi2()
+{
+    ::boost::math::quaternion<float>    q0;
+    
+    q0 *= q0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi2.h b/src/boost/libs/math/test/quaternion_mi2.h
new file mode 100644
index 00000000..fedbc95f
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi2.h
@@ -0,0 +1,13 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2
+#define BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2
+
+void    quaternion_mi2();
+
+#endif /* BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2 */
diff --git a/src/boost/libs/math/test/quaternion_mult_incl_test.cpp b/src/boost/libs/math/test/quaternion_mult_incl_test.cpp
new file mode 100644
index 00000000..de311b19
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mult_incl_test.cpp
@@ -0,0 +1,37 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+
+#include "quaternion_mi1.h"
+#include "quaternion_mi2.h"
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("quaternion_multiple_inclusion_test");
+    
+    BOOST_TEST_MESSAGE("Results of quaternion (multiple inclusion) test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+    test->add(BOOST_TEST_CASE(&quaternion_mi1));
+    test->add(BOOST_TEST_CASE(&quaternion_mi2));
+    
+    return(test);
+}
+
diff --git a/src/boost/libs/math/test/quaternion_test.cpp b/src/boost/libs/math/test/quaternion_test.cpp
new file mode 100644
index 00000000..14468cbf
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_test.cpp
@@ -0,0 +1,831 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+#include <boost/math/quaternion.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127) // conditional expression is constant
+#endif
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+DEFINE_TYPE_NAME(long double);
+DEFINE_TYPE_NAME(boost::multiprecision::cpp_bin_float_quad);
+DEFINE_TYPE_NAME(boost::multiprecision::number<boost::multiprecision::cpp_dec_float<25> >);
+
+#if BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+#  define CPP_DEC_FLOAT_TEST
+#else
+#  define CPP_DEC_FLOAT_TEST , boost::multiprecision::number<boost::multiprecision::cpp_dec_float<25> >
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#  define LD_TEST , long double
+#else
+#  define LD_TEST
+#endif
+
+
+typedef boost::mpl::list<float,double LD_TEST, boost::multiprecision::cpp_bin_float_quad CPP_DEC_FLOAT_TEST >  test_types;
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+
+#if BOOST_WORKAROUND(__GNUC__, < 3)
+    // gcc 2.x ignores function scope using declarations,
+    // put them in the scope of the enclosing namespace instead:
+using   ::std::sqrt;
+using   ::std::atan;
+using   ::std::log;
+using   ::std::exp;
+using   ::std::cos;
+using   ::std::sin;
+using   ::std::tan;
+using   ::std::cosh;
+using   ::std::sinh;
+using   ::std::tanh;
+
+using   ::std::numeric_limits;
+
+using   ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+
+#ifdef  BOOST_NO_STDC_NAMESPACE
+using   ::sqrt;
+using   ::atan;
+using   ::log;
+using   ::exp;
+using   ::cos;
+using   ::sin;
+using   ::tan;
+using   ::cosh;
+using   ::sinh;
+using   ::tanh;
+#endif  /* BOOST_NO_STDC_NAMESPACE */
+
+#ifdef  BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP
+using   ::boost::math::real;
+using   ::boost::math::unreal;
+using   ::boost::math::sup;
+using   ::boost::math::l1;
+using   ::boost::math::abs;
+using   ::boost::math::norm;
+using   ::boost::math::conj;
+using   ::boost::math::exp;
+using   ::boost::math::pow;
+using   ::boost::math::cos;
+using   ::boost::math::sin;
+using   ::boost::math::tan;
+using   ::boost::math::cosh;
+using   ::boost::math::sinh;
+using   ::boost::math::tanh;
+using   ::boost::math::sinc_pi;
+using   ::boost::math::sinhc_pi;
+#endif  /* BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP */
+  
+// Provide standard floating point abs() overloads if older Microsoft
+// library is used with _MSC_EXTENSIONS defined. This code also works
+// for the Intel compiler using the Microsoft library.
+#if defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310)
+#if !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201))
+inline float        abs(float v)
+{
+    return(fabs(v));
+}
+
+inline double        abs(double v)
+{
+    return(fabs(v));
+}
+
+inline long double    abs(long double v)
+{
+    return(fabs(v));
+}
+#endif /* !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201)) */
+#endif /* defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310) */
+
+
+// explicit (if ludicrous) instanciation
+#if !BOOST_WORKAROUND(__GNUC__, < 3)
+template    class ::boost::math::quaternion<int>;
+#else
+// gcc doesn't like the absolutely-qualified namespace
+template class boost::math::quaternion<int>;
+#endif /* !BOOST_WORKAROUND(__GNUC__) */
+
+template <class T>
+struct other_type
+{
+   typedef double type;
+};
+template<>
+struct other_type<double>
+{
+   typedef float type;
+};
+template<>
+struct other_type<float>
+{
+   typedef short type;
+};
+
+
+template <class T, class U>
+void test_compare(const T& a, const U& b, bool eq)
+{
+   if (eq)
+   {
+      BOOST_CHECK_EQUAL(a, b);
+      BOOST_CHECK((a != b) == false);
+      BOOST_CHECK_EQUAL(b, a);
+      BOOST_CHECK((b != a) == false);
+   }
+   else
+   {
+      BOOST_CHECK_NE(a, b);
+      BOOST_CHECK((a == b) == false);
+      BOOST_CHECK_NE(b, a);
+      BOOST_CHECK((b == a) == false);
+   }
+}
+
+template <class T, class R1, class R2, class R3, class R4>
+void check_exact_quaternion_result(const boost::math::quaternion<T>& q, R1 a, R2 b, R3 c, R4 d)
+{
+   BOOST_CHECK_EQUAL(q.R_component_1(), a);
+   BOOST_CHECK_EQUAL(q.R_component_2(), b);
+   BOOST_CHECK_EQUAL(q.R_component_3(), c);
+   BOOST_CHECK_EQUAL(q.R_component_4(), d);
+   BOOST_CHECK_EQUAL(q.C_component_1(), std::complex<T>(T(a), T(b)));
+   BOOST_CHECK_EQUAL(q.C_component_2(), std::complex<T>(T(c), T(d)));
+}
+
+template <class T, class R1, class R2, class R3, class R4>
+void check_approx_quaternion_result(const boost::math::quaternion<T>& q, R1 a, R2 b, R3 c, R4 d, int eps = 10)
+{
+   T tol = std::numeric_limits<T>::epsilon() * eps * 100;  // epsilon as a persentage.
+   using std::abs;
+   if (abs(a) > tol / 100)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_1(), static_cast<T>(a), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_1(), tol);
+   }
+   if (abs(b) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_2(), static_cast<T>(b), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_2(), tol);
+   }
+   if (abs(c) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_3(), static_cast<T>(c), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_3(), tol);
+   }
+   if (abs(d) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_4(), static_cast<T>(d), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_4(), tol);
+   }
+}
+
+template <class T>
+void check_complex_ops_imp()
+{
+   T tol = std::numeric_limits<T>::epsilon() * 200;
+
+   ::std::complex<T>                   c0(5, 6);
+
+   // using constructor "H seen as C^2"
+   ::boost::math::quaternion<T>        q2(c0), q1;
+   check_exact_quaternion_result(q2, 5, 6, 0, 0);
+
+   // using converting assignment operator
+   q2 = 0;
+   q2 = c0;
+   check_exact_quaternion_result(q2, 5, 6, 0, 0);
+
+   // using += (const ::std::complex<T> &)
+   q2 = ::boost::math::quaternion<T>(5, 6, 7, 8);
+   q2 += c0;
+   check_exact_quaternion_result(q2, 10, 12, 7, 8);
+
+   // using -= (const ::std::complex<T> &)
+   q2 -= c0;
+   check_exact_quaternion_result(q2, 5, 6, 7, 8);
+
+   // using *= (const ::std::complex<T> &)
+   q2 *= c0;
+   check_exact_quaternion_result(q2, -11, 60, 83, -2);
+
+   q2 /= c0;
+   check_approx_quaternion_result(q2, 5, 6, 7, 8);
+
+   q2 = ::boost::math::quaternion<T>(4, 5, 7, 8);
+   // operator +
+   q1 = c0 + q2;
+   check_exact_quaternion_result(q1, 9, 11, 7, 8);
+   q1 = q2 + c0;
+   check_exact_quaternion_result(q1, 9, 11, 7, 8);
+
+   // operator -
+   q1 = c0 - q2;
+   check_exact_quaternion_result(q1, 1, 1, -7, -8);
+   q1 = q2 - c0;
+   check_exact_quaternion_result(q1, -1, -1, 7, 8);
+
+   // using * (const ::std::complex<T> &, const quaternion<T> &)
+   q1 = c0 * q2;
+   check_exact_quaternion_result(q1, -10, 49, -13, 82);
+
+   // using * (const quaternion<T> &, const ::std::complex<T> &)
+   q1 = q2 * c0;
+   check_exact_quaternion_result(q1, -10, 49, 83, -2);
+
+   // using / (const ::std::complex<T> &, const quaternion<T> &)
+   q1 = c0 / q2;
+   check_approx_quaternion_result(q1, T(25) / 77, -T(1) / 154, T(13) / 154, -T(41) / 77);
+   q1 *= q2;
+   BOOST_CHECK_CLOSE(q1.R_component_1(), T(5), tol);
+   BOOST_CHECK_CLOSE(q1.R_component_2(), T(6), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_4(), tol);
+
+   // using / (const quaternion<T> &, const ::std::complex<T> &)
+   q1 = q2 / c0;
+   check_approx_quaternion_result(q1, T(50) / 61, T(1)/ 61, -T(13) / 61, T(82) / 61);
+   q1 *= c0;
+   check_approx_quaternion_result(q1, 4, 5, 7, 8);
+
+   q1 = c0;
+   test_compare(q1, c0, true);
+   q1 += 1;
+   test_compare(q1, c0, false);
+}
+
+template <class T>
+void check_complex_ops() {}
+
+template<>
+void check_complex_ops<float>() { check_complex_ops_imp<float>(); }
+template<>
+void check_complex_ops<double>() { check_complex_ops_imp<double>(); }
+template<>
+void check_complex_ops<long double>() { check_complex_ops_imp<long double>(); }
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(arithmetic_test, T, test_types)
+{
+   typedef typename other_type<T>::type other_type;
+   check_complex_ops<T>();
+
+   T tol = std::numeric_limits<T>::epsilon() * 200;
+
+   // using default constructor
+   ::boost::math::quaternion<T>        q0, q2;
+   check_exact_quaternion_result(q0, 0, 0, 0, 0);
+   BOOST_CHECK_EQUAL(q0, 0);
+
+   ::boost::math::quaternion<T>        qa[2];
+   check_exact_quaternion_result(qa[0], 0, 0, 0, 0);
+   check_exact_quaternion_result(qa[1], 0, 0, 0, 0);
+   BOOST_CHECK_EQUAL(qa[0], 0);
+   BOOST_CHECK_EQUAL(qa[1], 0.f);
+
+   // using constructor "H seen as R^4"
+   ::boost::math::quaternion<T>       q1(1, 2, 3, 4);
+   check_exact_quaternion_result(q1, 1, 2, 3, 4);
+
+   // using untemplated copy constructor
+   ::boost::math::quaternion<T>        q3(q1);
+   check_exact_quaternion_result(q3, 1, 2, 3, 4);
+
+   // using templated copy constructor
+   ::boost::math::quaternion<other_type>  qo(5, 6, 7, 8);
+   boost::math::quaternion<T>  q4(qo);
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+   // using untemplated assignment operator
+   q3 = q0;
+   check_exact_quaternion_result(q0, 0, 0, 0, 0);
+   //BOOST_CHECK_EQUAL(q3, 0.f);
+   BOOST_CHECK_EQUAL(q3, q0);
+   q3 = q4;
+   check_exact_quaternion_result(q3, 5, 6, 7, 8);
+   qa[0] = q4;
+   check_exact_quaternion_result(qa[0], 5, 6, 7, 8);
+
+   // using templated assignment operator
+   q4 = qo;
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+   other_type                                   f0(7);
+   T                                            f1(7);
+
+   // using converting assignment operator
+   q2 = f0;
+   check_exact_quaternion_result(q2, 7, 0, 0, 0);
+   q2 = 33.;
+   check_exact_quaternion_result(q2, 33, 0, 0, 0);
+
+   // using += (const T &)
+   q4 += f0;
+   check_exact_quaternion_result(q4, 12, 6, 7, 8);
+
+   // using += (const quaternion<X> &)
+   q4 += q3;
+   check_exact_quaternion_result(q4, 17, 12, 14, 16);
+
+   // using -= (const T &)
+   q4 -= f0;
+   check_exact_quaternion_result(q4, 10, 12, 14, 16);
+
+   // using -= (const quaternion<X> &)
+   q4 -= q3;
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+    // using *= (const T &)
+   q4 *= f0;
+   check_exact_quaternion_result(q4, 35, 42, 49, 56);
+   // using *= (const quaternion<X> &)
+   q4 *= q3;
+   check_exact_quaternion_result(q4, -868, 420, 490, 560);
+
+   // using /= (const T &)
+   q4 /= f0;
+   check_exact_quaternion_result(q4, -T(868) / 7, T(420) / 7, T(490) / 7, T(560) / 7);
+
+   q4 = q3;
+   q4 /= boost::math::quaternion<T>(9, 4, 6, 2);
+   check_approx_quaternion_result(q4, T(127) / 137, T(68) / 137, T(13) / 137, T(54) / 137);
+   q4 *= boost::math::quaternion<T>(9, 4, 6, 2);
+   check_approx_quaternion_result(q4, 5, 6, 7, 8);
+
+   q4 = boost::math::quaternion<T>(34, 56, 20, 2);
+   // using + (const T &, const quaternion<T> &)
+   q1 = f1 + q4;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &, const T &)
+   q1 = q4 + f1;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const T &, const quaternion<T> &)
+   q1 = f0 + q4;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &, const T &)
+   q1 = q4 + f0;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &,const quaternion<T> &)
+   q1 = q3 + q4;
+   check_exact_quaternion_result(q1, 39, 62, 27, 10);
+
+   // using - (const T &, const quaternion<T> &)
+   q1 = f1 - q4;
+   check_exact_quaternion_result(q1, 7-34, -56, -20, -2);
+
+   // using - (const quaternion<T> &, const T &)
+   q1 = q4 - f1;
+   check_exact_quaternion_result(q1, 34-7, 56, 20, 2);
+
+   // using - (const T &, const quaternion<T> &)
+   q1 = f0 - q4;
+   check_exact_quaternion_result(q1, 7-34, -56, -20, -2);
+
+   // using - (const quaternion<T> &, const T &)
+   q1 = q4 - f0;
+   check_exact_quaternion_result(q1, 34-7, 56, 20, 2);
+
+   // using - (const quaternion<T> &,const quaternion<T> &)
+   q1 = q3 - q4;
+   check_exact_quaternion_result(q1, -29, -50, -13, 6);
+
+   // using * (const T &, const quaternion<T> &)
+   q1 = f0 * q4;
+   check_exact_quaternion_result(q1, 238, 392, 140, 14);
+
+   // using * (const quaternion<T> &, const T &)
+   q1 = q4 * f0;
+   check_exact_quaternion_result(q1, 238, 392, 140, 14);
+
+   // using * (const quaternion<T> &,const quaternion<T> &)
+    q1 = q4 * q3;
+   check_exact_quaternion_result(q1, -322, 630, -98, 554);
+    q1 = q3 * q4;
+   check_exact_quaternion_result(q1, -322, 338, 774, 10);
+
+   // using / (const T &, const quaternion<T> &)
+   q1 = T(f0) / q4;
+   check_approx_quaternion_result(q1, T(119) / 2348, -T(49) / 587, -T(35) / 1174, -T(7) / 2348);
+   q1 *= q4;
+   BOOST_CHECK_CLOSE(q1.R_component_1(), T(7), tol);
+   BOOST_CHECK_SMALL(q1.R_component_2(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+
+   // using / (const quaternion<T> &, const T &)
+   q1 = q4 / T(f0);
+   check_approx_quaternion_result(q1, T(34) / 7, T(56) / 7, T(20) / 7, T(2) / 7);
+    
+   // using / (const quaternion<T> &,const quaternion<T> &)
+   q1 = q4 / q3;
+   check_approx_quaternion_result(q1, T(331) / 87, -T(35) / 87, T(149) / 87, -T(89) / 29);
+   q1 *= q3;
+   check_approx_quaternion_result(q1, 34, 56, 20, 2);
+
+   // using + (const quaternion<T> &)
+   q1 = +q4;
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+
+   // using - (const quaternion<T> &)
+   q1 = -q4;
+   check_exact_quaternion_result(q1, -34, -56, -20, -2);
+
+   // comparisons:
+   q1 = f0;
+   test_compare(q1, f0, true);
+   q1 += 1;
+   test_compare(q1, f0, false);
+   q1 = q3;
+   test_compare(q1, q3, true);
+   q1 += 1;
+   test_compare(q1, q3, false);
+
+   BOOST_CHECK_EQUAL(boost::lexical_cast<std::string>(q4), "(34,56,20,2)");
+   q1 = boost::lexical_cast<boost::math::quaternion<T> >("(34,56,20,2)");
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+
+   q1 = q4 + 1;
+   q1.swap(q4);
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+   check_exact_quaternion_result(q4, 35, 56, 20, 2);
+   swap(q1, q4);
+   check_exact_quaternion_result(q1, 35, 56, 20, 2);
+   check_exact_quaternion_result(q4, 34, 56, 20, 2);
+
+   BOOST_CHECK_EQUAL(real(q4), 34);
+   check_exact_quaternion_result(unreal(q1), 0, 56, 20, 2);
+   BOOST_CHECK_EQUAL(sup(q4), 56);
+   BOOST_CHECK_EQUAL(sup(-q4), 56);
+   BOOST_CHECK_EQUAL(l1(q4), 34 + 56 + 20 + 2);
+   BOOST_CHECK_EQUAL(l1(-q4), 34 + 56 + 20 + 2);
+   BOOST_CHECK_CLOSE(abs(q4), boost::lexical_cast<T>("68.52736679604725626189080285032080446623"), tol);
+   BOOST_CHECK_EQUAL(norm(q4), 4696);
+   check_exact_quaternion_result(conj(q4), 34, -56, -20, -2);
+   check_approx_quaternion_result(exp(q4), boost::lexical_cast<T>("-572700109350177.2871954597833265926769952"), boost::lexical_cast<T>("104986825963321.656891930274999993423955"), boost::lexical_cast<T>("37495294986900.59174711795535714050855537"), boost::lexical_cast<T>("3749529498690.059174711795535714050855537"), 300);
+   check_approx_quaternion_result(pow(q4, 3), -321776, -4032, -1440, -144);
+   check_approx_quaternion_result(sin(q4), boost::lexical_cast<T>("18285331065398556228976865.03309127394107"), boost::lexical_cast<T>("-27602822237164214909853379.68314411086089"), boost::lexical_cast<T>("-9858150798987219610661921.315408611021748"), boost::lexical_cast<T>("-985815079898721961066192.1315408611021748"), 40);
+   check_approx_quaternion_result(cos(q4), boost::lexical_cast<T>("-29326963088663226843378365.81173441507358"), boost::lexical_cast<T>("-17210331032912252411431342.73890926302336"), boost::lexical_cast<T>("-6146546797468661575511193.835324736794056"), boost::lexical_cast<T>("-614654679746866157551119.3835324736794056"), 40);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+      check_approx_quaternion_result(tan(q4), boost::lexical_cast<T>("-3.758831069989140832054627039712718213887e-52"), boost::lexical_cast<T>("0.941209703633940052004990419391011076385"), boost::lexical_cast<T>("0.3361463227264071614303537212110753844232"), boost::lexical_cast<T>("0.03361463227264071614303537212110753844232"), 40);
+
+   check_approx_quaternion_result(sinh(q4), boost::lexical_cast<T>("-286350054675088.6435977298916624551903343"), boost::lexical_cast<T>("52493412981660.82844596513750015091043914"), boost::lexical_cast<T>("18747647493450.29587355897767862532515683"), boost::lexical_cast<T>("1874764749345.029587355897767862532515683"), 200);
+   check_approx_quaternion_result(cosh(q4), boost::lexical_cast<T>("-286350054675088.6435977298916641374866609"), boost::lexical_cast<T>("52493412981660.82844596513749984251351591"), boost::lexical_cast<T>("18747647493450.29587355897767851518339854"), boost::lexical_cast<T>("1874764749345.029587355897767851518339854"), 200);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+      check_approx_quaternion_result(tanh(q4), boost::lexical_cast<T>("0.9999999999999999999999999999945544805016"), boost::lexical_cast<T>("-2.075260044344318549117301019071435084233e-30"), boost::lexical_cast<T>("-7.411643015515423389704646496683696729404e-31"), boost::lexical_cast<T>("-7.411643015515423389704646496683696729404e-32"), 200);
+
+#ifndef    BOOST_NO_TEMPLATE_TEMPLATES
+   check_approx_quaternion_result(sinc_pi(q4), boost::lexical_cast<T>("-239180458943182912968898.352151239530846"), boost::lexical_cast<T>("-417903427539587405399855.0577257263862799"), boost::lexical_cast<T>("-149251224121281216214233.9491877594236714"), boost::lexical_cast<T>("-14925122412128121621423.39491877594236714"), 200);
+   check_approx_quaternion_result(sinhc_pi(q4), boost::lexical_cast<T>("-1366603120232.604666248483234115586439226"), boost::lexical_cast<T>("3794799638667.255581055299959135992677524"), boost::lexical_cast<T>("1355285585238.305564662607128262854527687"), boost::lexical_cast<T>("135528558523.8305564662607128262854527687"), 200);
+#endif
+   //
+   // Construction variations:
+   //
+   T rho = boost::math::constants::root_two<T>() * 2;
+   T theta = boost::math::constants::pi<T>() / 4;
+   T phi1 = theta;
+   T phi2 = theta;
+   q1 = ::boost::math::spherical(rho, theta, phi1, phi2);
+   check_approx_quaternion_result(q1, 1, 1, boost::math::constants::root_two<T>(), 2, 10);
+   T alpha = theta;
+   q1 = ::boost::math::semipolar(rho, alpha, phi1, phi2);
+   check_approx_quaternion_result(q1, boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), 10);
+   T rho1 = 1;
+   T rho2 = 2;
+   T theta1 = 0;
+   T theta2 = boost::math::constants::half_pi<T>();
+   q1 = ::boost::math::multipolar(rho1, theta1, rho2, theta2);
+   check_approx_quaternion_result(q1, 1, 0, 0, 2, 10);
+   T t = 5;
+   T radius = boost::math::constants::root_two<T>();
+   T longitude = boost::math::constants::pi<T>() / 4;
+   T lattitude = boost::math::constants::pi<T>() / 3;
+   q1 = ::boost::math::cylindrospherical(t, radius, longitude, lattitude);
+   check_approx_quaternion_result(q1, 5, 0.5, 0.5, boost::lexical_cast<T>("1.224744871391589049098642037352945695983"), 10);
+   T r = boost::math::constants::root_two<T>();
+   T angle = boost::math::constants::pi<T>() / 4;
+   T h1 = 3;
+   T h2 = 4;
+   q1 = ::boost::math::cylindrical(r, angle, h1, h2);
+   check_approx_quaternion_result(q1, 1, 1, 3, 4, 10);
+
+   ::boost::math::quaternion<T>        quaternion_1(1);
+   ::boost::math::quaternion<T>        quaternion_i(0, 1);
+   ::boost::math::quaternion<T>        quaternion_j(0, 0, 1);
+   ::boost::math::quaternion<T>        quaternion_k(0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_1 * quaternion_1, 1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_i, 0, 1, 0, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_j, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_k, 0, 0, 0, 1);
+
+   check_exact_quaternion_result(quaternion_i * quaternion_1, 0, 1, 0, 0);
+   check_exact_quaternion_result(quaternion_i * quaternion_i, -1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_i * quaternion_j, 0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_i * quaternion_k, 0, 0, -1, 0);
+
+   check_exact_quaternion_result(quaternion_j * quaternion_1, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_j * quaternion_i, 0, 0, 0, -1);
+   check_exact_quaternion_result(quaternion_j * quaternion_j, -1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_j * quaternion_k, 0, 1, 0, 0);
+
+   check_exact_quaternion_result(quaternion_k * quaternion_1, 0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_k * quaternion_i, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_k * quaternion_j, 0, -1, 0, 0);
+   check_exact_quaternion_result(quaternion_k * quaternion_k, -1, 0, 0, 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiplication_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing multiplication for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(1,0,0,0)*
+             ::boost::math::quaternion<T>(1,0,0,0)-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,1,0,0)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,0,1,0)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,0,0,1)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,0,1,0)-
+             ::boost::math::quaternion<T>(0,0,0,1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,1,0,0)+
+             ::boost::math::quaternion<T>(0,0,0,1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,0,0,1)-
+             ::boost::math::quaternion<T>(0,1,0,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,0,1,0)+
+             ::boost::math::quaternion<T>(0,1,0,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,1,0,0)-
+             ::boost::math::quaternion<T>(0,0,1,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,0,0,1)+
+             ::boost::math::quaternion<T>(0,0,1,0)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(exp_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing exp for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,4*atan(static_cast<T>(1)),0,0))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,0,4*atan(static_cast<T>(1)),0))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,0,0,4*atan(static_cast<T>(1))))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cos_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::log;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing cos for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,log(static_cast<T>(2)),0,0))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,0,log(static_cast<T>(2)),0))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,0,0,log(static_cast<T>(2))))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sin_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::log;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing sin for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,log(static_cast<T>(2)),0,0))
+             -::boost::math::quaternion<T>(0,3,0,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,0,log(static_cast<T>(2)),0))
+             -::boost::math::quaternion<T>(0,0,3,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,0,0,log(static_cast<T>(2))))
+             -::boost::math::quaternion<T>(0,0,0,3)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cosh_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing cosh for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,4*atan(static_cast<T>(1)),0,0))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,0,4*atan(static_cast<T>(1)),0))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,0,0,4*atan(static_cast<T>(1))))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinh_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinh for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,2*atan(static_cast<T>(1)),0,0))
+             -::boost::math::quaternion<T>(0,1,0,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,0,2*atan(static_cast<T>(1)),0))
+             -::boost::math::quaternion<T>(0,0,1,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,0,0,2*atan(static_cast<T>(1))))
+             -::boost::math::quaternion<T>(0,0,0,1)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
diff --git a/src/boost/libs/math/test/s_.ipp b/src/boost/libs/math/test/s_.ipp
new file mode 100644
index 00000000..a9cc7468
--- /dev/null
+++ b/src/boost/libs/math/test/s_.ipp
@@ -0,0 +1,68 @@
+#ifndef BOOST_MATH_S__HPP
+#define BOOST_MATH_S__HPP
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2012 Paul A. Bristow
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// The macro S_ lets you write
+//
+//     basic_string<CharType> s = S_("foo");
+// and
+//     CharType c = S_('a');
+//
+// provided that CharType is either char or wchar_t.
+// Used by tests of output of signed zero and others.
+
+#ifdef _MSC_VER
+#   pragma warning(push)
+#   pragma warning(disable : 4512) // conditional expression is constant.
+#endif
+
+#include <string>
+
+//------------------------------------------------------------------------------
+
+#define S_(a) make_literal_helper(a, L##a)
+
+class char_literal_helper {
+public:
+    char_literal_helper(char c, wchar_t wc) : c_(c), wc_(wc) {}
+    operator char() { return c_; }
+    operator wchar_t() { return wc_; }
+private:
+    const char c_;
+    const wchar_t wc_;
+};
+
+class string_literal_helper {
+public:
+    string_literal_helper(const char* s, const wchar_t* ws) : s_(s), ws_(ws) {}
+    operator std::string() { return s_; }
+    operator std::wstring() { return ws_; }
+private:
+    const char* s_;
+    const wchar_t* ws_;
+};
+
+inline char_literal_helper make_literal_helper(char c, wchar_t wc)
+{
+    return char_literal_helper(c, wc);
+}
+
+inline string_literal_helper make_literal_helper(const char* s, const wchar_t* ws)
+{
+    return string_literal_helper(s, ws);
+}
+
+//------------------------------------------------------------------------------
+
+#ifdef _MSC_VER
+#   pragma warning(pop)
+#endif
+
+#endif // BOOST_MATH_S__HPP
+
diff --git a/src/boost/libs/math/test/signal_statistics_test.cpp b/src/boost/libs/math/test/signal_statistics_test.cpp
new file mode 100644
index 00000000..79f7b1a1
--- /dev/null
+++ b/src/boost/libs/math/test/signal_statistics_test.cpp
@@ -0,0 +1,331 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/signal_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using std::abs;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+using boost::math::constants::two_pi;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ * 6) Does it work with integer data if sensible?
+ */
+
+template<class Real>
+void test_hoyer_sparsity()
+{
+    using std::sqrt;
+    Real tol = 5*std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real hs = boost::math::statistics::hoyer_sparsity(v.begin(), v.end());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // Does it work with constant iterators?
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs) < tol);
+
+    std::array<Real, 3> w{1,1,1};
+    hs = boost::math::statistics::hoyer_sparsity(w);
+    BOOST_TEST(abs(hs) < tol);
+
+    // Now some statistics:
+    // If x_i ~ Unif(0,1), E[x_i] = 1/2, E[x_i^2] = 1/3.
+    // Therefore, E[||x||_1] = N/2, E[||x||_2] = sqrt(N/3),
+    // and hoyer_sparsity(x) is close to (1-sqrt(3)/2)/(1-1/sqrt(N))
+    std::mt19937 gen(82);
+    std::uniform_real_distribution<long double> dis(0, 1);
+    v.resize(5000);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = dis(gen);
+    }
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    Real expected = (1.0 - boost::math::constants::root_three<Real>()/2)/(1.0 - 1.0/sqrt(v.size()));
+    BOOST_TEST(abs(expected - hs) < 0.01);
+
+    // Does it work with a forward list?
+    std::forward_list<Real> u1{1, 1, 1};
+    hs = boost::math::statistics::hoyer_sparsity(u1);
+    BOOST_TEST(abs(hs) < tol);
+
+    // Does it work with a boost ublas vector?
+    boost::numeric::ublas::vector<Real> u2(3);
+    u2[0] = 1;
+    u2[1] = 1;
+    u2[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(u2);
+    BOOST_TEST(abs(hs) < tol);
+
+}
+
+template<class Z>
+void test_integer_hoyer_sparsity()
+{
+    using std::sqrt;
+    double tol = 5*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,0,0};
+    double hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs) < tol);
+}
+
+
+template<class Complex>
+void test_complex_hoyer_sparsity()
+{
+    typedef typename Complex::value_type Real;
+    using std::sqrt;
+    Real tol = 5*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{0,1}, {0, 0}, {0,0}};
+    Real hs = boost::math::statistics::hoyer_sparsity(v.begin(), v.end());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // Does it work with constant iterators?
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // All are the same magnitude:
+    v[0] = {0, 1};
+    v[1] = {1, 0};
+    v[2] = {0,-1};
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs) < tol);
+}
+
+
+template<class Real>
+void test_absolute_gini_coefficient()
+{
+    using boost::math::statistics::absolute_gini_coefficient;
+    using boost::math::statistics::sample_absolute_gini_coefficient;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{-1,0,0};
+    Real gini = sample_absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    gini = absolute_gini_coefficient(v);
+    BOOST_TEST(abs(gini - Real(2)/Real(3)) < tol);
+
+    v[0] = 1;
+    v[1] = -1;
+    v[2] = 1;
+    gini = absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+    gini = sample_absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::vector<std::complex<Real>> w(128);
+    std::complex<Real> i{0,1};
+    for(size_t k = 0; k < w.size(); ++k)
+    {
+        w[k] = exp(i*static_cast<Real>(k)/static_cast<Real>(w.size()));
+    }
+    gini = absolute_gini_coefficient(w.begin(), w.end());
+    BOOST_TEST(abs(gini) < tol);
+    gini = sample_absolute_gini_coefficient(w.begin(), w.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    // The population Gini index is invariant under "cloning": If w = v \oplus v, then G(w) = G(v).
+    // We use the sample Gini index, so we need to rescale
+    std::vector<Real> u(1000);
+    std::mt19937 gen(35);
+    std::uniform_real_distribution<long double> dis(0, 50);
+    for (size_t i = 0; i < u.size()/2; ++i)
+    {
+        u[i] = dis(gen);
+    }
+    for (size_t i = 0; i < u.size()/2; ++i)
+    {
+        u[i + u.size()/2] = u[i];
+    }
+    Real population_gini1 = absolute_gini_coefficient(u.begin(), u.begin() + u.size()/2);
+    Real population_gini2 = absolute_gini_coefficient(u.begin(), u.end());
+
+    BOOST_TEST(abs(population_gini1 - population_gini2) < 10*tol);
+
+    // The Gini coefficient of a uniform distribution is (b-a)/(3*(b+a)), see https://en.wikipedia.org/wiki/Gini_coefficient
+    Real expected = (dis.b() - dis.a() )/(3*(dis.a() + dis.b()));
+
+    BOOST_TEST(abs(expected - population_gini1) < 0.01);
+
+    std::exponential_distribution<long double> exp_dis(1);
+    for (size_t i = 0; i < u.size(); ++i)
+    {
+        u[i] = exp_dis(gen);
+    }
+    population_gini2 = absolute_gini_coefficient(u);
+
+    BOOST_TEST(abs(population_gini2 - 0.5) < 0.01);
+}
+
+
+template<class Real>
+void test_oracle_snr()
+{
+    using std::abs;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    size_t length = 100;
+    std::vector<Real> signal(length, 1);
+    std::vector<Real> noisy_signal = signal;
+
+    noisy_signal[0] += 1;
+    Real snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    Real snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Z>
+void test_integer_oracle_snr()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    size_t length = 100;
+    std::vector<Z> signal(length, 1);
+    std::vector<Z> noisy_signal = signal;
+
+    noisy_signal[0] += 1;
+    double snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    double snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Complex>
+void test_complex_oracle_snr()
+{
+    using Real = typename Complex::value_type;
+    using std::abs;
+    using std::log10;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    size_t length = 100;
+    std::vector<Complex> signal(length, {1,0});
+    std::vector<Complex> noisy_signal = signal;
+
+    noisy_signal[0] += Complex(1,0);
+    Real snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    Real snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Real>
+void test_m2m4_snr_estimator()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> signal(5000, 1);
+    std::vector<Real> x(signal.size());
+    std::mt19937 gen(18);
+    std::normal_distribution<Real> dis{0, 1.0};
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        signal[i] = 5*sin(100*6.28*i/x.size());
+        x[i] = signal[i] + dis(gen);
+    }
+
+    // Kurtosis of a sine wave is 1.5:
+    auto m2m4_db = boost::math::statistics::m2m4_snr_estimator_db(x, 1.5);
+    auto oracle_snr_db = boost::math::statistics::mean_invariant_oracle_snr_db(signal, x);
+    BOOST_TEST(abs(m2m4_db - oracle_snr_db) < 0.2);
+
+    std::uniform_real_distribution<Real> uni_dis{-1,1};
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        x[i] = signal[i] + uni_dis(gen);
+    }
+
+    // Kurtosis of continuous uniform distribution over [-1,1] is 1.8:
+    m2m4_db = boost::math::statistics::m2m4_snr_estimator_db(x, 1.5, 1.8);
+    oracle_snr_db = boost::math::statistics::mean_invariant_oracle_snr_db(signal, x);
+    // The performance depends on the exact numbers generated by the distribution, but this isn't bad:
+    BOOST_TEST(abs(m2m4_db - oracle_snr_db) < 0.2);
+
+    // The SNR estimator should be scale invariant.
+    // If x has snr y, then kx should have snr y.
+    Real ka = 1.5;
+    Real kw = 1.8;
+    auto m2m4 = boost::math::statistics::m2m4_snr_estimator(x.begin(), x.end(), ka, kw);
+    for(size_t i = 0; i < x.size(); ++i)
+    {
+        x[i] *= 4096;
+    }
+    auto m2m4_2 = boost::math::statistics::m2m4_snr_estimator(x.begin(), x.end(), ka, kw);
+    BOOST_TEST(abs(m2m4 - m2m4_2) < tol);
+}
+
+int main()
+{
+    test_absolute_gini_coefficient<float>();
+    test_absolute_gini_coefficient<double>();
+    test_absolute_gini_coefficient<long double>();
+
+    test_hoyer_sparsity<float>();
+    test_hoyer_sparsity<double>();
+    test_hoyer_sparsity<long double>();
+    test_hoyer_sparsity<cpp_bin_float_50>();
+
+    test_integer_hoyer_sparsity<int>();
+    test_integer_hoyer_sparsity<unsigned>();
+
+    test_complex_hoyer_sparsity<std::complex<float>>();
+    test_complex_hoyer_sparsity<std::complex<double>>();
+    test_complex_hoyer_sparsity<std::complex<long double>>();
+    test_complex_hoyer_sparsity<cpp_complex_50>();
+
+    test_oracle_snr<float>();
+    test_oracle_snr<double>();
+    test_oracle_snr<long double>();
+    test_oracle_snr<cpp_bin_float_50>();
+
+    test_integer_oracle_snr<int>();
+    test_integer_oracle_snr<unsigned>();
+
+    test_complex_oracle_snr<std::complex<float>>();
+    test_complex_oracle_snr<std::complex<double>>();
+    test_complex_oracle_snr<std::complex<long double>>();
+    test_complex_oracle_snr<cpp_complex_50>();
+
+    test_m2m4_snr_estimator<float>();
+    test_m2m4_snr_estimator<double>();
+    test_m2m4_snr_estimator<long double>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/sinc_data.ipp b/src/boost/libs/math/test/sinc_data.ipp
new file mode 100644
index 00000000..d4232a34
--- /dev/null
+++ b/src/boost/libs/math/test/sinc_data.ipp
@@ -0,0 +1,99 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 2>, 85> sinc_data = {{
+      { SC_(-4.8295154571533203125000000000000000000000e+00), SC_(-2.0564144397615335368562979918981941995753e-01) }, 
+      { SC_(-4.6816596984863281250000000000000000000000e+00), SC_(-2.1349862167307660907057655732429291438217e-01) }, 
+      { SC_(-4.4761581420898437500000000000000000000000e+00), SC_(-2.1720122073845000360178237918490951754528e-01) }, 
+      { SC_(-4.3742771148681640625000000000000000000000e+00), SC_(-2.1566595539683532852848767544650130553932e-01) }, 
+      { SC_(-4.1086444854736328125000000000000000000000e+00), SC_(-2.0036183120354498976961729417378586259777e-01) }, 
+      { SC_(-3.7394170761108398437500000000000000000000e+00), SC_(-1.5051692429982474112576727957919702319266e-01) }, 
+      { SC_(-3.3475914001464843750000000000000000000000e+00), SC_(-6.1102108217798456351460029782718677410135e-02) }, 
+      { SC_(-2.6580219268798828125000000000000000000000e+00), SC_(1.7492084497567764117975419002968454997523e-01) }, 
+      { SC_(-2.4356470108032226562500000000000000000000e+00), SC_(2.6635787093609254873454189091933075353840e-01) }, 
+      { SC_(-2.3019962310791015625000000000000000000000e+00), SC_(3.2336008040116494772234230406698582967077e-01) }, 
+      { SC_(-1.7549228668212890625000000000000000000000e-01), SC_(9.9487497449776294957503940828873692843755e-01) }, 
+      { SC_(2.5184347547234381013356308010031625599368e-17), SC_(9.9999999999999999999999999999999989429144e-01) }, 
+      { SC_(3.1515819566286769684571034133568900870159e-17), SC_(9.9999999999999999999999999999999983445885e-01) }, 
+      { SC_(1.0579269457638800205206974780480777553748e-16), SC_(9.9999999999999999999999999999999813465096e-01) }, 
+      { SC_(2.0372688216594662252711955829909129533917e-16), SC_(9.9999999999999999999999999999999308255958e-01) }, 
+      { SC_(2.5024127294794289849688695426266349386424e-16), SC_(9.9999999999999999999999999999998956321755e-01) }, 
+      { SC_(8.7435293617680372862954740753593796398491e-16), SC_(9.9999999999999999999999999999987258449050e-01) }, 
+      { SC_(1.6994191427352478562795567995635792613029e-15), SC_(9.9999999999999999999999999999951866242955e-01) }, 
+      { SC_(2.1689921858364033524502190175553550943732e-15), SC_(9.9999999999999999999999999999921591214963e-01) }, 
+      { SC_(5.7993042470007652444685675163782434538007e-15), SC_(9.9999999999999999999999999999439467837512e-01) }, 
+      { SC_(9.2950854532845156308340506257081869989634e-15), SC_(9.9999999999999999999999999998560023106936e-01) }, 
+      { SC_(1.5596986863933987033092876117734704166651e-14), SC_(9.9999999999999999999999999995945566679438e-01) }, 
+      { SC_(4.3974643804817192815903581504244357347488e-14), SC_(9.9999999999999999999999999967770511703991e-01) }, 
+      { SC_(7.2674207146974922899573812173912301659584e-14), SC_(9.9999999999999999999999999911974326925976e-01) }, 
+      { SC_(1.3510335428526532020043759985128417611122e-13), SC_(9.9999999999999999999999999695784727681168e-01) }, 
+      { SC_(3.5172006366407382316197072213981300592422e-13), SC_(9.9999999999999999999999997938216613602331e-01) }, 
+      { SC_(9.0625749092632101877597960992716252803802e-13), SC_(9.9999999999999999999999986311622668998820e-01) }, 
+      { SC_(1.7803419329054381847754484624601900577545e-12), SC_(9.9999999999999999999999947173043365642137e-01) }, 
+      { SC_(3.6315421156341010089363408042117953300476e-12), SC_(9.9999999999999999999999780198364372929962e-01) }, 
+      { SC_(7.1482229857533496897303848527371883392334e-12), SC_(9.9999999999999999999999148381802432457777e-01) }, 
+      { SC_(1.4316863666818946398961998056620359420776e-11), SC_(9.9999999999999999999996583790245761992543e-01) }, 
+      { SC_(1.6845483341576539260131539776921272277832e-11), SC_(9.9999999999999999999995270494849811121879e-01) }, 
+      { SC_(5.0228515791062022799451369792222976684570e-11), SC_(9.9999999999999999999957951603357117216967e-01) }, 
+      { SC_(1.1470357996756774809909984469413757324219e-10), SC_(9.9999999999999999999780718145710396513332e-01) }, 
+      { SC_(2.3063151388669211883097887039184570312500e-10), SC_(9.9999999999999999999113485080038875672526e-01) }, 
+      { SC_(4.5568837592213640164118260145187377929688e-10), SC_(9.9999999999999999996539135067490761622790e-01) }, 
+      { SC_(5.1681947610404677106998860836029052734375e-10), SC_(9.9999999999999999995548293818658977143083e-01) }, 
+      { SC_(1.3833636458571163529995828866958618164062e-09), SC_(9.9999999999999999968105083722015112831654e-01) }, 
+      { SC_(3.3492328910256219387520104646682739257812e-09), SC_(9.9999999999999999813043984027869240754866e-01) }, 
+      { SC_(6.7065659692389090196229517459869384765625e-09), SC_(9.9999999999999999250366215004109548978553e-01) }, 
+      { SC_(9.6636227908675209619104862213134765625000e-09), SC_(9.9999999999999998443573242597097094310820e-01) }, 
+      { SC_(1.7015430842093337560072541236877441406250e-08), SC_(9.9999999999999995174585220965646960507893e-01) }, 
+      { SC_(2.9944871471343503799289464950561523437500e-08), SC_(9.9999999999999985055077876078633035382685e-01) }, 
+      { SC_(8.4743561501454678364098072052001953125000e-08), SC_(9.9999999999999880308813067486184630883274e-01) }, 
+      { SC_(1.3261609410619712434709072113037109375000e-07), SC_(9.9999999999999706882859733604730066894210e-01) }, 
+      { SC_(4.5674687498831190168857574462890625000000e-07), SC_(9.9999999999996523038203140225930402260455e-01) }, 
+      { SC_(7.8190009844547603279352188110351562500000e-07), SC_(9.9999999999989810537267516226282214649358e-01) }, 
+      { SC_(1.7091820154746528714895248413085937500000e-06), SC_(9.9999999999951311613966307169545782039473e-01) }, 
+      { SC_(3.5828215914079919457435607910156250000000e-06), SC_(9.9999999999786056490735815715717223661113e-01) }, 
+      { SC_(7.4748695624293759465217590332031250000000e-06), SC_(9.9999999999068772083747049385782616904819e-01) }, 
+      { SC_(1.1472035112092271447181701660156250000000e-05), SC_(9.9999999997806540173129801546239498657512e-01) }, 
+      { SC_(2.5264598662033677101135253906250000000000e-05), SC_(9.9999999989361667574445624564863571981943e-01) }, 
+      { SC_(5.4868418374098837375640869140625000000000e-05), SC_(9.9999999949824277759633694228237717097450e-01) }, 
+      { SC_(6.3214800320565700531005859375000000000000e-05), SC_(9.9999999933398150353824195889306629656228e-01) }, 
+      { SC_(1.6617355868220329284667968750000000000000e-04), SC_(9.9999999539772473883633772577467889886186e-01) }, 
+      { SC_(4.5144755858927965164184570312500000000000e-04), SC_(9.9999996603251732010012196212586447596609e-01) }, 
+      { SC_(5.9175980277359485626220703125000000000000e-04), SC_(9.9999994163672365877432109245787305708224e-01) }, 
+      { SC_(1.8886649049818515777587890625000000000000e-03), SC_(9.9999940549091881399202601506000179969715e-01) }, 
+      { SC_(3.2839048653841018676757812500000000000000e-03), SC_(9.9999820266244164525650766832296097320550e-01) }, 
+      { SC_(6.5575577318668365478515625000000000000000e-03), SC_(9.9999283308817497693001270399170438932932e-01) }, 
+      { SC_(1.0927643626928329467773437500000000000000e-02), SC_(9.9998009788628979560826917234462398401496e-01) }, 
+      { SC_(2.7464687824249267578125000000000000000000e-02), SC_(9.9987428656188580073240178797637624570371e-01) }, 
+      { SC_(5.4395228624343872070312500000000000000000e-02), SC_(9.9950693280150689842835732266478255630014e-01) }, 
+      { SC_(1.0894575715065002441406250000000000000000e-01), SC_(9.9802297731298784088052183750833449909167e-01) }, 
+      { SC_(1.8434482812881469726562500000000000000000e-01), SC_(9.9434577998524537639499792018398061310727e-01) }, 
+      { SC_(3.4805667400360107421875000000000000000000e-01), SC_(9.7993137091356513777451292422611427589061e-01) }, 
+      { SC_(5.6257820129394531250000000000000000000000e-01), SC_(9.4807943690125005126653317657503357778961e-01) }, 
+      { SC_(5.6664705276489257812500000000000000000000e-01), SC_(9.4733779787474906002499522123074902162683e-01) }, 
+      { SC_(1.5883111953735351562500000000000000000000e+00), SC_(6.2950297241676906424411614772208722050684e-01) }, 
+      { SC_(2.7100677490234375000000000000000000000000e+00), SC_(1.5433429787254010454700237187797477463959e-01) }, 
+      { SC_(3.5772705078125000000000000000000000000000e+00), SC_(-1.1797403335010845134361979928284854255106e-01) }, 
+      { SC_(3.6033649444580078125000000000000000000000e+00), SC_(-1.2364428289578963847004081749648553310113e-01) }, 
+      { SC_(3.7766838073730468750000000000000000000000e+00), SC_(-1.5708249021644308711064739246518523759815e-01) }, 
+      { SC_(4.0201015472412109375000000000000000000000e+00), SC_(-1.9148470586113360730901280514274812716308e-01) }, 
+      { SC_(4.8695030212402343750000000000000000000000e+00), SC_(-2.0283034081254029329390811947499866295346e-01) }, 
+      { SC_(4.9605102539062500000000000000000000000000e+00), SC_(-1.9541850863032876003972535140505164063587e-01) }, 
+      { SC_(5.4860038757324218750000000000000000000000e+00), SC_(-1.3040266551546396993998529332324853761316e-01) }, 
+      { SC_(5.4900817871093750000000000000000000000000e+00), SC_(-1.2978572516839247728729913746105155167508e-01) }, 
+      { SC_(5.5786609649658203125000000000000000000000e+00), SC_(-1.1609801955039980348827321624165824542852e-01) }, 
+      { SC_(5.6123390197753906250000000000000000000000e+00), SC_(-1.1076470982849211097675159261300665760170e-01) }, 
+      { SC_(5.6264133453369140625000000000000000000000e+00), SC_(-1.0851736256355344896484050447605119909590e-01) }, 
+      { SC_(5.6471138000488281250000000000000000000000e+00), SC_(-1.0519352624476319628955249191079616784999e-01) }, 
+      { SC_(5.7733154296875000000000000000000000000000e+00), SC_(-8.4537850909120915738253194859770692286972e-02) }, 
+      { SC_(5.9145755767822265625000000000000000000000e+00), SC_(-6.0920499174038826963883262039519566066855e-02) }, 
+      { SC_(5.9575347900390625000000000000000000000000e+00), SC_(-5.3700933786881587614051406850527216765734e-02) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/sinc_test.hpp b/src/boost/libs/math/test/sinc_test.hpp
new file mode 100644
index 00000000..4d1caa0c
--- /dev/null
+++ b/src/boost/libs/math/test/sinc_test.hpp
@@ -0,0 +1,92 @@
+// unit test file sinc.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+#include <complex>
+
+
+#include <boost/math/special_functions/sinc.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinc_pi_test, T)
+{
+    using    ::std::abs;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinc_pi in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinc_pi_complex_test, T)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinc_pi in the complex domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinc_pi<T>(::std::complex<T>(0, 1))-
+             ::std::complex<T>(sinh(static_cast<T>(1)))))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+void    sinc_pi_manual_check()
+{
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("sinc_pi");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<long double>(static_cast<long double>(i-50)/
+                                                static_cast<long double>(50)));
+#else
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50)));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
+
diff --git a/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp b/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp
new file mode 100644
index 00000000..8958d24b
--- /dev/null
+++ b/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp
@@ -0,0 +1,307 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE sinh_sinh_quadrature_test
+#include <complex>
+#include <boost/multiprecision/cpp_complex.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/sinh_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+// MSVC-12 has problems if we include 2 different multiprecision types in the same program,
+// basically random things stop compiling, even though they work fine in isolation :(
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#endif
+
+using std::expm1;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::string;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::quadrature::sinh_sinh;
+using boost::math::constants::pi;
+using boost::math::constants::pi_sqr;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+//
+// Code for generating the coefficients:
+//
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+}
+
+template <class Real, class TargetType>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t) { return sinh(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t) { return cosh(t)*half_pi<Real>()*cosh(half_pi<Real>()*sinh(t)); };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   Real t_max = log(2 * two_div_pi<Real>()*log(2 * two_div_pi<Real>()*sqrt(boost::math::tools::max_value<TargetType>())));
+
+   std::cout << "m_t_max = " << t_max << ";\n";
+
+   Real h = 1;
+   for (Real t = 1; t < t_max; t += h)
+   {
+      temp.push_back(g(t));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (Real t = 1; t < t_max; t += h)
+   {
+      temp.push_back(w(t * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < t_max; t += 2 * h)
+         temp.push_back(g(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < t_max; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+template<class Real>
+void test_nr_examples()
+{
+    std::cout << "Testing type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real integration_limit = sqrt(boost::math::tools::epsilon<Real>());
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    sinh_sinh<Real> integrator(10);
+
+    auto f0 = [](Real)->Real { return (Real) 0; };
+    Q = integrator.integrate(f0, integration_limit, &error, &L1);
+    Q_expected = 0;
+    BOOST_CHECK_SMALL(Q, tol);
+    BOOST_CHECK_SMALL(L1, tol);
+
+    // In spite of the poles at \pm i, we still get a doubling of the correct digits at each level of refinement.
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t); };
+    Q = integrator.integrate(f1, integration_limit, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+#if defined(BOOST_MSVC) && (BOOST_MSVC < 1900)
+    auto f2 = [](const Real& x)->Real { return fabs(x) > boost::math::tools::log_max_value<Real>() ? 0 : exp(-x*x); };
+#else
+    auto f2 = [](const Real& x)->Real { return exp(-x*x); };
+#endif
+    Q = integrator.integrate(f2, integration_limit, &error, &L1);
+    Q_expected = root_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f5 = [](const Real& t)->Real { return 1/cosh(t);};
+    Q = integrator.integrate(f5, integration_limit, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    // This oscillatory integral has rapid convergence because the oscillations get swamped by the exponential growth of the denominator,
+    // none the less the error is slightly higher than for the other cases:
+    tol *= 10;
+    auto f8 = [](const Real& t)->Real { return cos(t)/cosh(t);};
+    Q = integrator.integrate(f8, integration_limit, &error, &L1);
+    Q_expected = pi<Real>()/cosh(half_pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Try again with progressively fewer arguments:
+    Q = integrator.integrate(f8, integration_limit);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    Q = integrator.integrate(f8);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Test formulas for in the CRC Handbook of Mathematical functions, 32nd edition.
+template<class Real>
+void test_crc()
+{
+    std::cout << "Testing CRC formulas on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real integration_limit = sqrt(boost::math::tools::epsilon<Real>());
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    sinh_sinh<Real> integrator(10);
+
+    // CRC Definite integral 698:
+    auto f0 = [](Real x)->Real {
+      using std::sinh;
+      if(x == 0) {
+        return (Real) 1;
+      }
+      return x/sinh(x);
+    };
+    Q = integrator.integrate(f0, integration_limit, &error, &L1);
+    Q_expected = pi_sqr<Real>()/2;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+
+    // CRC Definite integral 695:
+    auto f1 = [](Real x)->Real {
+      using std::sin; using std::sinh;
+      if(x == 0) {
+        return (Real) 1;
+      }
+      return (Real) sin(x)/sinh(x);
+    };
+    Q = integrator.integrate(f1, integration_limit, &error, &L1);
+    Q_expected = pi<Real>()*tanh(half_pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Complex>
+void test_dirichlet_eta()
+{
+  typedef typename Complex::value_type Real;
+  std::cout << "Testing Dirichlet eta function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+  Real tol = 10 * boost::math::tools::epsilon<Real>();
+  Complex Q;
+  sinh_sinh<Real> integrator(10);
+
+  //https://en.wikipedia.org/wiki/Dirichlet_eta_function, integral representations:
+  Complex z = {1,1};
+  auto eta = [&z](Real t)->Complex {
+    using std::exp;
+    using std::pow;
+    using boost::math::constants::pi;
+    Complex i = {0,1};
+    Complex num = pow((Real)1/ (Real)2  + i*t, -z);
+    Real denom = exp(pi<Real>()*t) + exp(-pi<Real>()*t);
+    Complex res = num/denom;
+    return res;
+  };
+  Q = integrator.integrate(eta);
+  // N[DirichletEta[1 + I], 150]
+  Complex Q_expected = {boost::lexical_cast<Real>("0.726559775062463263201495728547241386311129502735725787103568290594808442332084045617744978600192784188182345866652233650512117834307254514480657408096"),
+                        boost::lexical_cast<Real>("0.158095863901207324355426285544321998253687969756843115763682522207208309489794631247865357375538028170751576870244296106203144195376645765556607038775")};
+
+  BOOST_CHECK_CLOSE_FRACTION(Q.real(), Q_expected.real(), tol);
+  BOOST_CHECK_CLOSE_FRACTION(Q.imag(), Q_expected.imag(), tol);
+}
+
+
+BOOST_AUTO_TEST_CASE(sinh_sinh_quadrature_test)
+{
+    //
+    // Uncomment the following to print out the coefficients:
+    //
+    /*
+    std::cout << std::scientific << std::setprecision(8);
+    print_levels(generate_constants<cpp_bin_float_100, float>(8), "f");
+    std::cout << std::setprecision(18);
+    print_levels(generate_constants<cpp_bin_float_100, double>(8), "");
+    std::cout << std::setprecision(35);
+    print_levels(generate_constants<cpp_bin_float_100, cpp_bin_float_quad>(8), "L");
+    */
+    test_nr_examples<float>();
+    test_nr_examples<double>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_nr_examples<long double>();
+#endif
+    test_nr_examples<cpp_bin_float_quad>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_nr_examples<boost::math::concepts::real_concept>();
+#endif
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+    test_nr_examples<boost::multiprecision::cpp_dec_float_50>();
+#endif
+
+    test_crc<float>();
+    test_crc<double>();
+    test_dirichlet_eta<std::complex<double>>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_crc<long double>();
+    test_dirichlet_eta<std::complex<long double>>();
+#endif
+    test_crc<cpp_bin_float_quad>();
+    test_dirichlet_eta<boost::multiprecision::cpp_complex_quad>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_crc<boost::math::concepts::real_concept>();
+#endif
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+    test_crc<boost::multiprecision::cpp_dec_float_50>();
+#endif
+
+
+}
diff --git a/src/boost/libs/math/test/sinhc_test.hpp b/src/boost/libs/math/test/sinhc_test.hpp
new file mode 100644
index 00000000..b50bd2e6
--- /dev/null
+++ b/src/boost/libs/math/test/sinhc_test.hpp
@@ -0,0 +1,92 @@
+// unit test file sinhc.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+#include <complex>
+
+
+#include <boost/math/special_functions/sinhc.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_test, T)
+{
+    using    ::std::abs;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinhc_pi in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinhc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_complex_test, T)
+{
+    using    ::std::abs;
+    using    ::std::sin;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinhc_pi in the complex domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinhc_pi<T>(::std::complex<T>(0, 1))-
+             ::std::complex<T>(sin(static_cast<T>(1)))))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+void    sinhc_pi_manual_check()
+{
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("sinc_pi");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinhc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<long double>(static_cast<long double>(i-50)/
+                                                static_cast<long double>(50)));
+#else
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinhc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50)));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+    
+
diff --git a/src/boost/libs/math/test/special_functions_test.cpp b/src/boost/libs/math/test/special_functions_test.cpp
new file mode 100644
index 00000000..8ea88c19
--- /dev/null
+++ b/src/boost/libs/math/test/special_functions_test.cpp
@@ -0,0 +1,148 @@
+// test file for special functions.
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+#include <boost/math/tools/config.hpp>
+#include <boost/math/tools/test.hpp>
+
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+DEFINE_TYPE_NAME(long double);
+
+typedef boost::mpl::list<float,double,long double>  test_types;
+#else
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+
+typedef boost::mpl::list<float,double>  test_types;
+#endif
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+#include "sinc_test.hpp"
+#include "sinhc_test.hpp"
+#include "atanh_test.hpp"
+#include "asinh_test.hpp"
+#include "acosh_test.hpp"
+
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("special_functions_test");
+    
+    BOOST_TEST_MESSAGE("Results of special functions test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(fct)   \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, test_types));
+
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(fct)   \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, near_eps_test_types));
+    
+    
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_TEST             \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(atanh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(asinh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(acosh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(sinc_pi)   \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(sinhc_pi)
+    
+#define BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST          \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(sinc_pi_complex)   \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(sinhc_pi_complex)
+    
+    
+#ifdef  BOOST_NO_TEMPLATE_TEMPLATES
+
+#define BOOST_SPECIAL_FUNCTIONS_TEST    \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_TEST \
+    BOOST_TEST_MESSAGE("Warning: no template templates; curtailed functionality.");
+    
+#else   /* BOOST_NO_TEMPLATE_TEMPLATES */
+
+#define BOOST_SPECIAL_FUNCTIONS_TEST                \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_TEST             \
+    BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST
+    
+#endif  /* BOOST_NO_TEMPLATE_TEMPLATES */
+    
+    
+    BOOST_SPECIAL_FUNCTIONS_TEST
+    
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_TEST
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST
+
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_TEST
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR
+
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS
+    
+#ifdef    BOOST_SPECIAL_FUNCTIONS_TEST_VERBOSE
+        
+    using    ::std::numeric_limits;
+    
+    BOOST_TEST_MESSAGE("epsilon");
+    
+    BOOST_TEST_MESSAGE( ::std::setw(15) << numeric_limits<float>::epsilon()
+                << ::std::setw(15) << numeric_limits<double>::epsilon()
+                << ::std::setw(15) << numeric_limits<long double>::epsilon());
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    test->add(BOOST_TEST_CASE(atanh_manual_check));
+    test->add(BOOST_TEST_CASE(asinh_manual_check));
+    test->add(BOOST_TEST_CASE(acosh_manual_check));
+    test->add(BOOST_TEST_CASE(sinc_pi_manual_check));
+    test->add(BOOST_TEST_CASE(sinhc_pi_manual_check));
+    
+#endif    /* BOOST_SPECIAL_FUNCTIONS_TEST_VERBOSE */
+    
+    return test;
+}
+
+#undef DEFINE_TYPE_NAME
diff --git a/src/boost/libs/math/test/sph_bessel_data.ipp b/src/boost/libs/math/test/sph_bessel_data.ipp
new file mode 100644
index 00000000..bd9f1d92
--- /dev/null
+++ b/src/boost/libs/math/test/sph_bessel_data.ipp
@@ -0,0 +1,491 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 483> sph_bessel_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.999999476556507842202459130864323898236e0) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.9999991802801447287222232346958222796612e0) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.9999907632622405689302860688925139982587e0) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.9999657468461303487880990241993035937654e0) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.9999483203249623334100130061926184665364e0) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.9993691883680863109159389449304869676033e0) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.9976182354925345599905760522457355689246e0) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.9961219049249727586697484380600284691174e0) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.9724739915431544258938594874310588064205e0) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.9302056396192119311058689588352213355057e0) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.8109851883728203095784514632631378051565e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.1523183208785146731314680065502594134681e-1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.1799836939747169709868781821542134553205e0) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(-0.8644582430311092690468530625290874536115e-2) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-0.1508556180252377401284155114952468133194e-1) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.1266638994943852616886089579836946490336e-1) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-0.2984906844146395453998586259283750185621e-2) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(-0.3447656740458789191073137012008656930551e-2) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(0.6940935913226775542129988435446092279729e-3) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.8305987986864569002626675437293057248821e-3) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(-0.7167649812470622363222627438778746846582e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.5907301953593941259509561856854291087832e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.7392425179532175006179700888774678679099e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.2481486244688331388548761462155911660424e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.477857007345182708698871081176423742643e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.5869541227527534973977936514325779485181e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.205012765381082643967011963466059108825e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.3980502019486214219412102921577104486039e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.507579971871436936245493977138951657167e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.1337779656209597925613024398512918494342e0) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.2088414497092880298218980583359870711751e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.3236312899642309880098636972650663742421e0) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.3277232784787348060184709473722850920387e0) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.1116307129673207101011381466711802872966e0) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.1039199329743298950197804325967556415006e0) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-0.3809149370198498667373716310901593032325e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.9045323488777102113973090754530543316476e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-0.7426806470289446901421322001368677195156e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.183761395344989507935202292272917754448e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.1861543185509194453611459536122112443011e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.5442867382073472255455809862764039075858e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.4442651225543710411266851455520061266312e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(0.2093773827720430565251557110538425770714e-6) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(0.3278879075515531514779472751721891924383e-6) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(0.3694690716009003179822952040973660348991e-5) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(0.1370120120703995134662099191103188366059e-4) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(0.2067173265753174063228459655801741280461e-4) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(0.2523041832594696207720873096523404469743e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(0.9524137960598563739357464134535327666968e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(0.1550463428413672091078292641795407438935e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(0.1097102611452317567405386767797158993089e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(0.2766037955185958056378446380712964902424e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(0.7362360493389258718677168933368717603075e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(0.3024894557597979701575888951210976888787e0) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.1144982388451644297330327843104009488548e0) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(0.4143704967238294556855640424303560695077e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.1046843026490516523565262690999881523111e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(-0.1309190404197185674877392619814616382613e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(0.2807062488056296863373885100415798671326e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.25554705810546875e3), SC_(0.3469229447658863624235064543945418606161e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.503011474609375e3), SC_(-0.7051959813046644551033771629828891764763e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.10074598388671875e4), SC_(-0.8289780291514071759326532983957910172243e-3) }}, 
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+      {{ SC_(0.43e2), SC_(0.1097540378570556640625e1), SC_(0.1370119423055714744180026374929987956621e-64) }}, 
+      {{ SC_(0.43e2), SC_(0.30944411754608154296875e1), SC_(0.297354822546642285914560953158328580393e-45) }}, 
+      {{ SC_(0.43e2), SC_(0.51139926910400390625e1), SC_(0.6522100266019409770044623454800636241776e-36) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(0.1721161665321131684779827276882951985891e-24) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(0.5859244041710111729905151572270149812223e-8) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.1353696759272298967044778067036814439029e-1) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.4706471952825932298541627133673912851846e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(-0.3013236362131892566197294262018369224863e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(-0.1233256918054408823768226078718921526159e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(-0.9917026270512502832706583187232360041197e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(0.2027733948184595880435953384346723574731e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.177219114266335964202880859375e-2), SC_(0.9040394104538269827502763858866574379154e-199) }}, 
+      {{ SC_(0.46e2), SC_(0.22177286446094512939453125e-2), SC_(0.2732047194656667119666757426400199586458e-194) }}, 
+      {{ SC_(0.46e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4257316737171282042400835165934703549258e-170) }}, 
+      {{ SC_(0.46e2), SC_(0.1433600485324859619140625e-1), SC_(0.5252855754628379568905352359955531795544e-157) }}, 
+      {{ SC_(0.46e2), SC_(0.1760916970670223236083984375e-1), SC_(0.6740455687930813305297333291280199789231e-153) }}, 
+      {{ SC_(0.46e2), SC_(0.6152711808681488037109375e-1), SC_(0.6633691265009777819595520409458305226369e-128) }}, 
+      {{ SC_(0.46e2), SC_(0.11958599090576171875e0), SC_(0.125303426149495589011380306130037125168e-114) }}, 
+      {{ SC_(0.46e2), SC_(0.15262925624847412109375e0), SC_(0.937532932288203153989391220247481417114e-110) }}, 
+      {{ SC_(0.46e2), SC_(0.408089816570281982421875e0), SC_(0.4159927057569031050063861406651463379403e-90) }}, 
+      {{ SC_(0.46e2), SC_(0.6540834903717041015625e0), SC_(0.1103697915951208639745638619848387966328e-80) }}, 
+      {{ SC_(0.46e2), SC_(0.1097540378570556640625e1), SC_(0.2405975820030826693648441346218826820867e-70) }}, 
+      {{ SC_(0.46e2), SC_(0.30944411754608154296875e1), SC_(0.1173776299880355139751103170467745542721e-49) }}, 
+      {{ SC_(0.46e2), SC_(0.51139926910400390625e1), SC_(0.1168965825562227495762644707320434058994e-39) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(0.2028596251539445836931564425730981539088e-27) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(0.1506307082149153247277810883442524835901e-9) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.9981390073397570470311862738222580946682e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.7291170921230448995307745765159879879917e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.3240042995538310471851852251143813655283e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.1180752496915180759015257303074531713751e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(0.8112995649167475106523147339693999640721e-4) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.7908406619706603256943101136482675770749e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.177219114266335964202880859375e-2), SC_(0.5515546045969304722008600804322812862354e-213) }}, 
+      {{ SC_(0.49e2), SC_(0.22177286446094512939453125e-2), SC_(0.326650164794020092365784924346435136517e-208) }}, 
+      {{ SC_(0.49e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1925360407412391019857608682831977562776e-182) }}, 
+      {{ SC_(0.49e2), SC_(0.1433600485324859619140625e-1), SC_(0.1696482510953376927277246087752612819038e-168) }}, 
+      {{ SC_(0.49e2), SC_(0.1760916970670223236083984375e-1), SC_(0.4034367000095565704299813933456029116899e-164) }}, 
+      {{ SC_(0.49e2), SC_(0.6152711808681488037109375e-1), SC_(0.1693655026076133877660970241165014704451e-137) }}, 
+      {{ SC_(0.49e2), SC_(0.11958599090576171875e0), SC_(0.2348958117281878334841541282897547765415e-123) }}, 
+      {{ SC_(0.49e2), SC_(0.15262925624847412109375e0), SC_(0.3654033502135831724309937917523935502668e-118) }}, 
+      {{ SC_(0.49e2), SC_(0.408089816570281982421875e0), SC_(0.3099167637766167128925774129143043527408e-97) }}, 
+      {{ SC_(0.49e2), SC_(0.6540834903717041015625e0), SC_(0.3385925104782587944340438218046569787901e-87) }}, 
+      {{ SC_(0.49e2), SC_(0.1097540378570556640625e1), SC_(0.3488075239147121457577900092276265954556e-76) }}, 
+      {{ SC_(0.49e2), SC_(0.30944411754608154296875e1), SC_(0.3823874600343831420393015688949984870929e-54) }}, 
+      {{ SC_(0.49e2), SC_(0.51139926910400390625e1), SC_(0.1727893893654003330466257673489103445204e-43) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(0.1966295052177707644956458594445543297349e-30) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(0.3095382191507684987784237056495861811507e-11) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(0.158295373743556601533454490387052548217e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.82836746548166677824971194819851133652e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(0.3644444755072188782636164173218495212912e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(0.1873650276195313552512971867889734167198e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.96821173121543674370030596847704670817e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(-0.3882928591259993124112306803057698639751e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.177219114266335964202880859375e-2), SC_(0.2810426956251312594726679498943253449939e-227) }}, 
+      {{ SC_(0.52e2), SC_(0.22177286446094512939453125e-2), SC_(0.3261821586222305590688396082340930337197e-222) }}, 
+      {{ SC_(0.52e2), SC_(0.7444499991834163665771484375e-2), SC_(0.7272282602335146322076473310722428705234e-195) }}, 
+      {{ SC_(0.52e2), SC_(0.1433600485324859619140625e-1), SC_(0.4575999118312716040572653394509627667421e-180) }}, 
+      {{ SC_(0.52e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2016713378994708224486485028173988784384e-175) }}, 
+      {{ SC_(0.52e2), SC_(0.6152711808681488037109375e-1), SC_(0.3611413640730227943802279701896849784546e-147) }}, 
+      {{ SC_(0.52e2), SC_(0.11958599090576171875e0), SC_(0.3677646815864905481023738513580609303132e-132) }}, 
+      {{ SC_(0.52e2), SC_(0.15262925624847412109375e0), SC_(0.1189435235193540319708552300693475643205e-126) }}, 
+      {{ SC_(0.52e2), SC_(0.408089816570281982421875e0), SC_(0.1928344047619157510429385225938387716745e-104) }}, 
+      {{ SC_(0.52e2), SC_(0.6540834903717041015625e0), SC_(0.8675221916812243553880316898424564367176e-94) }}, 
+      {{ SC_(0.52e2), SC_(0.1097540378570556640625e1), SC_(0.4223229826495542762298450140014968626056e-82) }}, 
+      {{ SC_(0.52e2), SC_(0.30944411754608154296875e1), SC_(0.104005992095441008419804771706791846708e-58) }}, 
+      {{ SC_(0.52e2), SC_(0.51139926910400390625e1), SC_(0.2131148367399257759519412699653606504304e-47) }}, 
+      {{ SC_(0.52e2), SC_(0.95070552825927734375e1), SC_(0.1586614197158476471413308754970129553623e-33) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(0.5175370600854880940253656288662351415917e-13) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.17532409288934115094263569459614392385e-1) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.81931089129677844005131776262320688731e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.8105943479828618683212783966808076515887e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(0.8559984069467296788733442052899950392641e-4) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.3653807379369436466708861221542025660679e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.6931477169897557084753887842368702759482e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1208288753536924400989698078437356511703e-241) }}, 
+      {{ SC_(0.55e2), SC_(0.22177286446094512939453125e-2), SC_(0.2748224243571374121394628637078216213795e-236) }}, 
+      {{ SC_(0.55e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2317629980513787136420907827650557993837e-207) }}, 
+      {{ SC_(0.55e2), SC_(0.1433600485324859619140625e-1), SC_(0.104144686711366844962623177915396851023e-191) }}, 
+      {{ SC_(0.55e2), SC_(0.1760916970670223236083984375e-1), SC_(0.8506043420003708373323912746376820821917e-187) }}, 
+      {{ SC_(0.55e2), SC_(0.6152711808681488037109375e-1), SC_(0.6497467376347885988588920192401434832693e-157) }}, 
+      {{ SC_(0.55e2), SC_(0.11958599090576171875e0), SC_(0.4858242908178906496481848927231899579715e-141) }}, 
+      {{ SC_(0.55e2), SC_(0.15262925624847412109375e0), SC_(0.3266806562437370063677150237483657480669e-135) }}, 
+      {{ SC_(0.55e2), SC_(0.408089816570281982421875e0), SC_(0.1012363516617469262510002411527525089154e-111) }}, 
+      {{ SC_(0.55e2), SC_(0.6540834903717041015625e0), SC_(0.1875396080076928265201291332242100047049e-100) }}, 
+      {{ SC_(0.55e2), SC_(0.1097540378570556640625e1), SC_(0.4314225131885992800618800784424280652408e-88) }}, 
+      {{ SC_(0.55e2), SC_(0.30944411754608154296875e1), SC_(0.2386188946009811741115402149427915301942e-63) }}, 
+      {{ SC_(0.55e2), SC_(0.51139926910400390625e1), SC_(0.2216092396198493700432387401826650688793e-51) }}, 
+      {{ SC_(0.55e2), SC_(0.95070552825927734375e1), SC_(0.1077268775045601594715005289873066535698e-36) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(0.7145924372118157260136350067139292902786e-15) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.9639150724102627821461487026096968045471e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.7613679890890913165510416348925798112055e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.2628460166452094563254227164509714721701e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.1916611872581451277353556345649407783691e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.8532381652732649330426131075577885254381e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.5715720651795509548926590280953054477066e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.177219114266335964202880859375e-2), SC_(0.442323764221339251671141303318431108478e-256) }}, 
+      {{ SC_(0.58e2), SC_(0.22177286446094512939453125e-2), SC_(0.1971583791626620727195469420538567193962e-250) }}, 
+      {{ SC_(0.58e2), SC_(0.7444499991834163665771484375e-2), SC_(0.6289100883677515415757195488104887078879e-220) }}, 
+      {{ SC_(0.58e2), SC_(0.1433600485324859619140625e-1), SC_(0.2018177733122065474623739428744794685423e-203) }}, 
+      {{ SC_(0.58e2), SC_(0.1760916970670223236083984375e-1), SC_(0.3054795320059194548696602856000938647052e-198) }}, 
+      {{ SC_(0.58e2), SC_(0.6152711808681488037109375e-1), SC_(0.9953642739298005551795428591931462815948e-167) }}, 
+      {{ SC_(0.58e2), SC_(0.11958599090576171875e0), SC_(0.546461267246679212639001052047785879468e-150) }}, 
+      {{ SC_(0.58e2), SC_(0.15262925624847412109375e0), SC_(0.7639710377234199236097520431614621507318e-144) }}, 
+      {{ SC_(0.58e2), SC_(0.408089816570281982421875e0), SC_(0.4525408091084346067559391415753234146623e-119) }}, 
+      {{ SC_(0.58e2), SC_(0.6540834903717041015625e0), SC_(0.3452008641978455477403610949257595865265e-107) }}, 
+      {{ SC_(0.58e2), SC_(0.1097540378570556640625e1), SC_(0.3752484512573063001603693690152615718616e-94) }}, 
+      {{ SC_(0.58e2), SC_(0.30944411754608154296875e1), SC_(0.4660345641388563178171531149615009184069e-68) }}, 
+      {{ SC_(0.58e2), SC_(0.51139926910400390625e1), SC_(0.1960863006295924933138482025108297330693e-55) }}, 
+      {{ SC_(0.58e2), SC_(0.95070552825927734375e1), SC_(0.6213624017861198159027984879634566021036e-40) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(0.8252480997909935579863933179819188239925e-17) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.2016586308654754622690091357752537719812e-1) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.7017468118833063218312557452977246591573e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.3961059662958721103739812991599937252217e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.1159722024061608331934095179228494399393e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.6455961901963375666872388539662639143768e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.5324640861533894098235525421246130031191e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1390063099953273001760976643829493412235e-270) }}, 
+      {{ SC_(0.61e2), SC_(0.22177286446094512939453125e-2), SC_(0.1214235746891325324123447717603508906882e-264) }}, 
+      {{ SC_(0.61e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1465067803501878545612089003565516614999e-232) }}, 
+      {{ SC_(0.61e2), SC_(0.1433600485324859619140625e-1), SC_(0.3357425642907951097269617118707813745614e-215) }}, 
+      {{ SC_(0.61e2), SC_(0.1760916970670223236083984375e-1), SC_(0.9418057496533460392723945550704596626117e-210) }}, 
+      {{ SC_(0.61e2), SC_(0.6152711808681488037109375e-1), SC_(0.1309015102638367959763911559061398598334e-176) }}, 
+      {{ SC_(0.61e2), SC_(0.11958599090576171875e0), SC_(0.5276720779633476596305457037624920158493e-159) }}, 
+      {{ SC_(0.61e2), SC_(0.15262925624847412109375e0), SC_(0.1533750989168073201676611877485582641816e-152) }}, 
+      {{ SC_(0.61e2), SC_(0.408089816570281982421875e0), SC_(0.1736609472559701112844257684577329098627e-126) }}, 
+      {{ SC_(0.61e2), SC_(0.6540834903717041015625e0), SC_(0.5454707501690087691332936974401497393552e-114) }}, 
+      {{ SC_(0.61e2), SC_(0.1097540378570556640625e1), SC_(0.2801873396633198777831566955045782029762e-100) }}, 
+      {{ SC_(0.61e2), SC_(0.30944411754608154296875e1), SC_(0.7812083655684529175645698522139037522772e-73) }}, 
+      {{ SC_(0.61e2), SC_(0.51139926910400390625e1), SC_(0.1488629979362386514563024050166990786373e-59) }}, 
+      {{ SC_(0.61e2), SC_(0.95070552825927734375e1), SC_(0.3070674775920232104372515582146972644154e-43) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(0.8059317390853095912429339684297296887014e-19) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.2553438361299694660955712647272386491838e-1) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.6702527215895999645298014803289940554868e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.2435818794268515565710215283462154963534e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.1113025090458558853547625070047439913018e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.6282813469515595099026690750450965536512e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.7280704607550679547528319738669934801603e-3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/sph_bessel_prime_data.ipp b/src/boost/libs/math/test/sph_bessel_prime_data.ipp
new file mode 100644
index 00000000..c98af617
--- /dev/null
+++ b/src/boost/libs/math/test/sph_bessel_prime_data.ipp
@@ -0,0 +1,492 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 483> sph_bessel_prime_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-0.00059073019535939412595095618568542910878323045134112) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-0.0007392425179532175006179700888774678679099292507914) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(-0.0024814862446883313885487614621559116604243461510807) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(-0.0047785700734518270869887108117642374264304543690086) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(-0.0058695412275275349739779365143257794851809057009949) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(-0.020501276538108264396701196346605910882498145757291) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(-0.0398050201948621421941210292157710448603891479912) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(-0.050757997187143693624549397713895165716696398867447) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(-0.13377796562095979256130243985129184943424781197872) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(-0.20884144970928802982189805833598707117509621554352) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(-0.32363128996423098800986369726506637424206110966053) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(-0.32772327847873480601847094737228509203871367413028) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(0.11163071296732071010113814667118028729655393651111) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(-0.1039199329743298950197804325967556415006213845802) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(0.038091493701984986673737163109015930323251871551582) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.0090453234887771021139730907545305433164756214767811) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(0.0074268064702894469014213220013686771951555840502162) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(-0.00183761395344989507935202292272917754447956178171) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(0.0018615431855091944536114595361221124430107214407522) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(-0.00054428673820734722554558098627640390758578523460701) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(-0.00044426512255437104112668514555200612663124555018049) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.33333301926724743270544869351763393018362657616392) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.3333328415014432085386400929337573117609545008093) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.33332779129360285030797547432947735031266674305945) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.33331278148123875629513526073849384333270175643975) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.33330232561988242330958281233316747723693794820455) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.33295486000052245722479825677039409556977258754827) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.33190446930013828241423485313960950113040759442892) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.33100699268938180482919728425881255141316146257203) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.31684397977136935818191725069170520885289580667372) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.29162829350516425665943334374032067915239244394482) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.22124599283501171173496936153192115103165929919417) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(-0.19658235981058149100067699652905647880353385101318) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.13632672388834861015098125025833845101001637438382) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(-0.030506227258358994609193779703787362812550193231335) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-0.012007474110778034828048934989840770598051223303604) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(0.012950066011127413222136249398220597518537587964799) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-0.0028663439400863297269154521533717825094247750357527) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(-0.0034620385452588388131810886999664980476244699917351) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(0.00070149518464400215480658438983679586030848453205773) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.0008295182856630904173759913801736292531102367170295) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(-0.00071751454546951262848899688991345089056033018694987) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(0.00023629204633889236005291087967272193505400040615219) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(0.00029569694485273315164816147890259355192137248909295) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(0.00099259214029111530755282245585705320491168842896141) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(0.0019114111932840645445818300271381057911738485587312) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(0.0023477852898247144211041643348229918938730351868808) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(0.0081991799453440166335962556334444408919344491974601) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(0.015912243402711100514084762269717735532938018525996) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(0.020282907420154689051735712951937456114120792493934) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(0.053126410480031212586678205904563545693624738137461) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(0.081975170591889690668828338896856296226644215079007) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(0.12238965993933725860630405289274902840828844318344) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(0.034465686615074225277590510072478137128753981101953) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(-0.17879833272894307974747883202034026500043024669226) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(0.090844259664134671428993934186541052105632224421664) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(-0.039360389059662599226736923236622677555963563488009) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(-0.0084294483711138144664987808201587482568010268919194) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(-0.007494025162831139850518338448699859999892387891701) }}, 
+      {{ SC_(0.2e1), SC_(0.25554705810546875e3), SC_(0.0017968868622435421755669393910269529503530851519011) }}, 
+      {{ SC_(0.2e1), SC_(0.503011474609375e3), SC_(-0.0018573373412080144431644641210179018451222515992051) }}, 
+      {{ SC_(0.2e1), SC_(0.10074598388671875e4), SC_(0.00054675525753835161682975502530985141120463926776899) }}, 
+      {{ SC_(0.2e1), SC_(0.1185395751953125e4), SC_(0.00044244828798313716547648484028729073874463724553589) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(2.3559158540082455768840080546112798663585697720826e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(4.6169296279996473101914438794288203617891850406346e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(1.7463574574188387463066063010615387231365303592733e-09) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(1.2471150353404544376761085027683328476900937718487e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(2.311189936327654251816226989778718929688090519853e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(9.8563429042288849994856658277243792242658610319728e-07) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(7.231786397396951376253209809064929853071380936624e-06) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(1.50262843312992102987994629093877535298021202843e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(0.00028441805397096435085790720535042306460060226531091) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(0.001150305647829084975995260918897017859199796438499) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(0.0051504955094770510161456682011514250134666357100256) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.061181156542238193041428456833192155137194232033491) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(0.0363139052452261531505102240194494994808838785407) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(-0.028531747960133660687636648425778013058000555983439) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(0.040023894469610698102224436340566930082865587314546) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(0.0069233954610770121084670925372575700986670045449065) }}, 
+      {{ SC_(0.4e1), SC_(0.1252804412841796875e3), SC_(0.0076340573012197958490927279614525838224840772867187) }}, 
+      {{ SC_(0.4e1), SC_(0.25554705810546875e3), SC_(-0.0017009084886748170712160784869903924973747756235339) }}, 
+      {{ SC_(0.4e1), SC_(0.503011474609375e3), SC_(0.0018472671693257273380791200050711158717490250370617) }}, 
+      {{ SC_(0.4e1), SC_(0.10074598388671875e4), SC_(-0.0005524962251405277471852625842752467825656975241184) }}, 
+      {{ SC_(0.4e1), SC_(0.1185395751953125e4), SC_(-0.00043819801692200450821440523901760623658697168103297) }}, 
+      {{ SC_(0.7e1), SC_(0.177219114266335964202880859375e-2), SC_(1.0697991617160864248323531864233446640746976139854e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.22177286446094512939453125e-2), SC_(4.1085567478339757461750632668035113963198711865523e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.7444499991834163665771484375e-2), SC_(5.8782929736374897959537031744425834377447039058243e-19) }}, 
+      {{ SC_(0.7e1), SC_(0.1433600485324859619140625e-1), SC_(2.9978120142841261857414643883582477264791257677086e-17) }}, 
+      {{ SC_(0.7e1), SC_(0.1760916970670223236083984375e-1), SC_(1.0295966390411680856066604959250082829678041409389e-16) }}, 
+      {{ SC_(0.7e1), SC_(0.6152711808681488037109375e-1), SC_(1.8731657314409352602419226071487809223291506164013e-13) }}, 
+      {{ SC_(0.7e1), SC_(0.11958599090576171875e0), SC_(1.0094525367251698204292336826164457531302538571881e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.15262925624847412109375e0), SC_(4.3619738196814295533377222934031291971752264117272e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.408089816570281982421875e0), SC_(1.5850288314657106432878037070208657925534509527748e-08) }}, 
+      {{ SC_(0.7e1), SC_(0.6540834903717041015625e0), SC_(2.6607459451995592354008784318795643172975569379218e-07) }}, 
+      {{ SC_(0.7e1), SC_(0.1097540378570556640625e1), SC_(5.7664845836207484595125117901185694632395607204332e-06) }}, 
+      {{ SC_(0.7e1), SC_(0.30944411754608154296875e1), SC_(0.0020888804576047189611023488334433681892088860115477) }}, 
+      {{ SC_(0.7e1), SC_(0.51139926910400390625e1), SC_(0.020994124403255141274583447055949464819307285101337) }}, 
+      {{ SC_(0.7e1), SC_(0.95070552825927734375e1), SC_(-0.024922140779284456438576044228491755023009874226221) }}, 
+      {{ SC_(0.7e1), SC_(0.24750102996826171875e2), SC_(-0.028353909279783084726423510128135587959189228123484) }}, 
+      {{ SC_(0.7e1), SC_(0.637722015380859375e2), SC_(-0.015389749527676762124638831431065414818429874166795) }}, 
+      {{ SC_(0.7e1), SC_(0.1252804412841796875e3), SC_(0.0012051773854908700975190933641856566280801489744695) }}, 
+      {{ SC_(0.7e1), SC_(0.25554705810546875e3), SC_(0.0036343607024917448468070861534877423287026662015176) }}, 
+      {{ SC_(0.7e1), SC_(0.503011474609375e3), SC_(-0.00080024331306904311961557194136562626174732449978119) }}, 
+      {{ SC_(0.7e1), SC_(0.10074598388671875e4), SC_(-0.00081460223150121705486726923945454262688469958748775) }}, 
+      {{ SC_(0.7e1), SC_(0.1185395751953125e4), SC_(0.00072742594119996417485681196942112356035858739895609) }}, 
+      {{ SC_(0.1e2), SC_(0.177219114266335964202880859375e-2), SC_(1.2540478186663120628602812079578808351729367819032e-34) }}, 
+      {{ SC_(0.1e2), SC_(0.22177286446094512939453125e-2), SC_(9.4383195208714184217770984897928377645764418426331e-34) }}, 
+      {{ SC_(0.1e2), SC_(0.7444499991834163665771484375e-2), SC_(5.1078513992279099655984000849207169156531500720582e-29) }}, 
+      {{ SC_(0.1e2), SC_(0.1433600485324859619140625e-1), SC_(1.8602443902338341728545744334412177842231591534504e-26) }}, 
+      {{ SC_(0.1e2), SC_(0.1760916970670223236083984375e-1), SC_(1.184037549370526220954087484921021630287809015208e-25) }}, 
+      {{ SC_(0.1e2), SC_(0.6152711808681488037109375e-1), SC_(9.1891501761794684800165337570318820156562613422773e-21) }}, 
+      {{ SC_(0.1e2), SC_(0.11958599090576171875e0), SC_(3.636468360943061368725393960169440670304331201129e-18) }}, 
+      {{ SC_(0.1e2), SC_(0.15262925624847412109375e0), SC_(3.2673468058175873706620435736465562121531182610027e-17) }}, 
+      {{ SC_(0.1e2), SC_(0.408089816570281982421875e0), SC_(2.2731792965182072429022860094049372896122789728251e-13) }}, 
+      {{ SC_(0.1e2), SC_(0.6540834903717041015625e0), SC_(1.5760423825992973985064566597131710758930245916175e-11) }}, 
+      {{ SC_(0.1e2), SC_(0.1097540378570556640625e1), SC_(1.6286716907590974417319456530375671570565066879608e-09) }}, 
+      {{ SC_(0.1e2), SC_(0.30944411754608154296875e1), SC_(1.4689037278392991527257463063818041335347730983745e-05) }}, 
+      {{ SC_(0.1e2), SC_(0.51139926910400390625e1), SC_(0.00085602285501601593976405612569490993161547868879281) }}, 
+      {{ SC_(0.1e2), SC_(0.95070552825927734375e1), SC_(0.027522034393506434808155354136522567666541010162809) }}, 
+      {{ SC_(0.1e2), SC_(0.24750102996826171875e2), SC_(0.013240180531579579689175259669579050941417887171516) }}, 
+      {{ SC_(0.1e2), SC_(0.637722015380859375e2), SC_(0.0038529486866003068299591547844152695910806887598016) }}, 
+      {{ SC_(0.1e2), SC_(0.1252804412841796875e3), SC_(-0.0079519986322761114107454671009239592487568415292458) }}, 
+      {{ SC_(0.1e2), SC_(0.25554705810546875e3), SC_(0.0010567873526868367398938930691328674623714508884516) }}, 
+      {{ SC_(0.1e2), SC_(0.503011474609375e3), SC_(-0.0017740831740702497766096751754348177543562210628555) }}, 
+      {{ SC_(0.1e2), SC_(0.10074598388671875e4), SC_(0.00058875307252099371564561348285478225978994918772465) }}, 
+      {{ SC_(0.1e2), SC_(0.1185395751953125e4), SC_(0.00041051677093140307970749698818936573310086302759084) }}, 
+      {{ SC_(0.13e2), SC_(0.177219114266335964202880859375e-2), SC_(5.844636876725227683357500120233184213859698178325e-47) }}, 
+      {{ SC_(0.13e2), SC_(0.22177286446094512939453125e-2), SC_(8.6204840014851849620782773810249872710860076599731e-46) }}, 
+      {{ SC_(0.13e2), SC_(0.7444499991834163665771484375e-2), SC_(1.7646425536684117404987064621393414030517423224716e-39) }}, 
+      {{ SC_(0.13e2), SC_(0.1433600485324859619140625e-1), SC_(4.5895141989470824090019578322510045314228712072451e-36) }}, 
+      {{ SC_(0.13e2), SC_(0.1760916970670223236083984375e-1), SC_(5.4137062826342044067019095715091771539033704124656e-35) }}, 
+      {{ SC_(0.13e2), SC_(0.6152711808681488037109375e-1), SC_(1.7922434195259212798397221036078262364270769258554e-28) }}, 
+      {{ SC_(0.13e2), SC_(0.11958599090576171875e0), SC_(5.207999593815064904352013709968872189384819831291e-25) }}, 
+      {{ SC_(0.13e2), SC_(0.15262925624847412109375e0), SC_(9.7293315333331498808814011282373323528498860975414e-24) }}, 
+      {{ SC_(0.13e2), SC_(0.408089816570281982421875e0), SC_(1.2949734605874300886572486185950822325449690423218e-18) }}, 
+      {{ SC_(0.13e2), SC_(0.6540834903717041015625e0), SC_(3.7028102957059242582344597779119196616563738547491e-16) }}, 
+      {{ SC_(0.13e2), SC_(0.1097540378570556640625e1), SC_(1.8165999084094667801479868191211362692402474437176e-13) }}, 
+      {{ SC_(0.13e2), SC_(0.30944411754608154296875e1), SC_(3.874662930327891438025602851203401854883608380588e-08) }}, 
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+      {{ SC_(0.52e2), SC_(0.408089816570281982421875e0), SC_(2.4570789331707945117282123094591452293190771637082e-103) }}, 
+      {{ SC_(0.52e2), SC_(0.6540834903717041015625e0), SC_(6.8963191752321978717285541566277411929957116311348e-93) }}, 
+      {{ SC_(0.52e2), SC_(0.1097540378570556640625e1), SC_(2.0004767539355678595455700978821155299365525515893e-81) }}, 
+      {{ SC_(0.52e2), SC_(0.30944411754608154296875e1), SC_(1.7447403263191658956236453842155848777769879365678e-58) }}, 
+      {{ SC_(0.52e2), SC_(0.51139926910400390625e1), SC_(2.1567814746633518149573636695707201486897157917772e-47) }}, 
+      {{ SC_(0.52e2), SC_(0.95070552825927734375e1), SC_(8.5360984670723598078708244156118269969115503747257e-34) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(9.6060272004903322555555632525925341749138146156907e-14) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(0.006908601793473096298323418806687121540307945754602) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.001511757553038325947585368492378747782337215149421) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.0037858209621674373462298729134791360497163520374069) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(-0.0019809328831869368876220080380433647612809704631087) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.00092200687722808090005995172059672150180743809268283) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(0.00048167937168500539874758510969943625232721572654437) }}, 
+      {{ SC_(0.55e2), SC_(0.177219114266335964202880859375e-2), SC_(3.7499274096965781403755047291140161204907447872079e-238) }}, 
+      {{ SC_(0.55e2), SC_(0.22177286446094512939453125e-2), SC_(6.8156369646128465690286532515860830877781488075398e-233) }}, 
+      {{ SC_(0.55e2), SC_(0.7444499991834163665771484375e-2), SC_(1.7122660747048565255626343786097763976528368796317e-204) }}, 
+      {{ SC_(0.55e2), SC_(0.1433600485324859619140625e-1), SC_(3.9955047716183914987761883255557038544818646167407e-189) }}, 
+      {{ SC_(0.55e2), SC_(0.1760916970670223236083984375e-1), SC_(2.6567542510578514165105911532729820728759508569179e-184) }}, 
+      {{ SC_(0.55e2), SC_(0.6152711808681488037109375e-1), SC_(5.8081785583507577295015116363296166486701161948475e-155) }}, 
+      {{ SC_(0.55e2), SC_(0.11958599090576171875e0), SC_(2.2343983863523528056451847025992477458763997926411e-139) }}, 
+      {{ SC_(0.55e2), SC_(0.15262925624847412109375e0), SC_(1.1771903491869512075462189279952313690643597693028e-133) }}, 
+      {{ SC_(0.55e2), SC_(0.408089816570281982421875e0), SC_(1.3643688014628027906587326086714925578079475494015e-110) }}, 
+      {{ SC_(0.55e2), SC_(0.6540834903717041015625e0), SC_(1.5768580818724559427837940690686281474208252257894e-99) }}, 
+      {{ SC_(0.55e2), SC_(0.1097540378570556640625e1), SC_(2.1615276523190658462020328801805510693869381236864e-87) }}, 
+      {{ SC_(0.55e2), SC_(0.30944411754608154296875e1), SC_(4.2346268961579078795789945127742390736624102001168e-63) }}, 
+      {{ SC_(0.55e2), SC_(0.51139926910400390625e1), SC_(2.3733148720740138224053085922360925485635049732368e-51) }}, 
+      {{ SC_(0.55e2), SC_(0.95070552825927734375e1), SC_(6.1409175579485028996750267978630042798061205873868e-37) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(1.4233100381415828902958185237029417343254441363024e-15) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.0095812290850987183413608150795252333160605783231688) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.0031764973177480983239838537298407622280291942692672) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(0.0029026850504740781957066048954958719842096907926845) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(0.00055103958348322567252256718296661947038978095706673) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(0.00050872952715596185376282875298835402606685453166988) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.00061992219813287452157517509292431972827188083669598) }}, 
+      {{ SC_(0.58e2), SC_(0.177219114266335964202880859375e-2), SC_(1.4476304330586041136551705000804145544902261640658e-252) }}, 
+      {{ SC_(0.58e2), SC_(0.22177286446094512939453125e-2), SC_(5.1562602174440199627484531866737157576226691467083e-247) }}, 
+      {{ SC_(0.58e2), SC_(0.7444499991834163665771484375e-2), SC_(4.8998300587608731374827545421219171950099307319986e-217) }}, 
+      {{ SC_(0.58e2), SC_(0.1433600485324859619140625e-1), SC_(8.1650575759274771557361281104075843991539954474695e-201) }}, 
+      {{ SC_(0.58e2), SC_(0.1760916970670223236083984375e-1), SC_(1.0061696465790781667736469203102729534045381762147e-195) }}, 
+      {{ SC_(0.58e2), SC_(0.6152711808681488037109375e-1), SC_(9.3830327209999123686806584846160930127251471007793e-165) }}, 
+      {{ SC_(0.58e2), SC_(0.11958599090576171875e0), SC_(2.650367956085127995216751337073278183462605995287e-148) }}, 
+      {{ SC_(0.58e2), SC_(0.15262925624847412109375e0), SC_(2.903124323622911409829050402803289231887083028365e-142) }}, 
+      {{ SC_(0.58e2), SC_(0.408089816570281982421875e0), SC_(6.4316070964139898664384321499139698923133148702845e-118) }}, 
+      {{ SC_(0.58e2), SC_(0.6540834903717041015625e0), SC_(3.0608338729787222843236230594814098330550735585225e-106) }}, 
+      {{ SC_(0.58e2), SC_(0.1097540378570556640625e1), SC_(1.9826706855355044678661424675211702071205612839288e-93) }}, 
+      {{ SC_(0.58e2), SC_(0.30944411754608154296875e1), SC_(8.7228930336356092303723788918145325583313934911015e-68) }}, 
+      {{ SC_(0.58e2), SC_(0.51139926910400390625e1), SC_(2.2154573151564605748776496480208597972846093651378e-55) }}, 
+      {{ SC_(0.58e2), SC_(0.95070552825927734375e1), SC_(3.7408088108382429205686154655296968150299217766739e-40) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(1.7542837953515687203678203434382344249154612451961e-17) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(-0.0067708610212249877224120895037510817852901962275794) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.0041591007901644300956897573166715522264542608471619) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.00018025720350905183747192616094732195540361038314487) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.0016097164295892651390631514736999139286215525312629) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.00075314462564204569171828178095268549063987732399349) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(-0.00065464124389262563181804449659033668956464404581817) }}, 
+      {{ SC_(0.61e2), SC_(0.177219114266335964202880859375e-2), SC_(4.7846898125667423746743417551270010003238247276516e-267) }}, 
+      {{ SC_(0.61e2), SC_(0.22177286446094512939453125e-2), SC_(3.3398306277294130849325090739222518892213759455678e-261) }}, 
+      {{ SC_(0.61e2), SC_(0.7444499991834163665771484375e-2), SC_(1.2004719653715347459853992856818224416918187152011e-229) }}, 
+      {{ SC_(0.61e2), SC_(0.1433600485324859619140625e-1), SC_(1.4285915831759991702708235266908413559013185784195e-212) }}, 
+      {{ SC_(0.61e2), SC_(0.1760916970670223236083984375e-1), SC_(3.2625131876993266095119855855632714544764549752144e-207) }}, 
+      {{ SC_(0.61e2), SC_(0.6152711808681488037109375e-1), SC_(1.2977998011404656319853160359712626507524420160768e-174) }}, 
+      {{ SC_(0.61e2), SC_(0.11958599090576171875e0), SC_(2.6916143055563581590059162764926003782754791173255e-157) }}, 
+      {{ SC_(0.61e2), SC_(0.15262925624847412109375e0), SC_(6.1297897139867231982089254896862393455712506778801e-151) }}, 
+      {{ SC_(0.61e2), SC_(0.408089816570281982421875e0), SC_(2.5957732787881650403239180128287001269910591991745e-125) }}, 
+      {{ SC_(0.61e2), SC_(0.6540834903717041015625e0), SC_(5.0867892663014227309637157527310247694699831316708e-113) }}, 
+      {{ SC_(0.61e2), SC_(0.1097540378570556640625e1), SC_(1.5570021614075599265149811316648324454876817163322e-99) }}, 
+      {{ SC_(0.61e2), SC_(0.30944411754608154296875e1), SC_(1.5380428116647953033235087266220830366935795977434e-72) }}, 
+      {{ SC_(0.61e2), SC_(0.51139926910400390625e1), SC_(1.7695460915697677845853843221170529803110031977443e-59) }}, 
+      {{ SC_(0.61e2), SC_(0.95070552825927734375e1), SC_(1.9467442792778411416797267656516287666544599838604e-43) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(1.8200790244284308790522222260292196200777876151537e-19) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.0018677398563172789782680089690103735276080112074262) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.0045651073151555244232064475776021546403039720433722) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.0030353854346433689710635352699470295083576244341073) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(-0.0016460943300783220104010798160172646122205004417106) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(-0.00076883161702827974394772020363121878699485590527748) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.00042604986672311800200670840141747346530141242152301) }},
+   }};
+
+
diff --git a/src/boost/libs/math/test/sph_neumann_data.ipp b/src/boost/libs/math/test/sph_neumann_data.ipp
new file mode 100644
index 00000000..b15318fa
--- /dev/null
+++ b/src/boost/libs/math/test/sph_neumann_data.ipp
@@ -0,0 +1,293 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 284> sph_neumann_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-0.5642723324792311990959765396871018960216e3) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-0.4509106843488238999473616173421364998283e3) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(-0.1343236336805396008478682587573788632696e3) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(-0.6974727279167912880150678975872617495088e2) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(-0.5677979025875563956840873378239183466216e2) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(-0.1622224207701819661207370690041340570512e2) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(-0.8302461728079151325461513362583139756373e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(-0.6475657248546134771634572625845233177042e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(-0.2249212131304610409189209411089291558038e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(-0.1213309779166084571756446746977955970241e1) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(-0.4152801926629981090971418551680239835571e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.3228009577028088632835185600650872623482e0) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.7643635410754817824148236191571837220126e-1) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.1048292137319730265210439388887370801248e0) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-0.3748197858988794731118470575529801883541e-1) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(-0.9243942787530241818116046978138604629927e-2) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-0.7402980669441766401839846974565600278467e-2) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(0.1851105232770496300381256908203514858216e-2) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(-0.1862923061767209624572519967199174532136e-2) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.5434622896619636174822759159195129760936e-3) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(0.4448697855794123235553917677921400676563e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(-0.318404765200112567469157464785027433823e6) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(-0.2033219452576704738500460434959917636461e6) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(-0.1804433853974285124747494278925454917131e5) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(-0.486618196768193316259977336624918918276e4) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(-0.322544443971191302525452896173067683304e4) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(-0.2646594036812657100698306327292119166165e3) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(-0.704243267085761836707775439192578042573e2) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(-0.434234874553672313920027034930149194407e2) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(-0.6484035515444221775976367630376209298567e1) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(-0.2785182560801830440325676905703325489184e1) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(-0.1189358686761883310370162855037394165611e1) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.8908456605946127242501038405190438284591e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(0.1650371817824980920597277760628969935339e0) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.1967104757813801271824802511806652238075e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(0.1357114472738293735380837736920673513642e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.1281134249246794610073876109037108992935e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(0.2925815571849156117920315547136950241325e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.3454900436576811073075917245701360162869e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.6977971312135198156036217479682334535885e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(-0.830059360518605915833351761559017133065e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.7171402734520886334015615434326112966186e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(-0.5390012807345113883197792587292120542031e9) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(-0.2750403378962024584351226505492891996551e9) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(-0.7271410532113085385774156481477356217156e7) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(-0.1018243656809079180564791631983824027866e7) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(-0.5494485904403902454288040447187085252735e6) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(-0.1288830239246692985269728537863836376468e5) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(-0.1758400966704601107905829221340068593333e4) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(-0.8470334639256196191828910705235499636086e3) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(-0.4541702641837159203058389758895634766256e2) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(-0.1156112621471167110574129561700037138981e2) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(-0.2835694559566832562081631532476610393593e1) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(-0.2364352189394648962564115002206693193264e0) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.1732514211714791641487261827982664865146e0) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(-0.9862191389198304425904745146753435952401e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.3912695898400467874867999209317768037635e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(0.8641265969881876225898539254984860529714e-2) }}, 
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+      {{ SC_(0.31e2), SC_(0.1252804412841796875e3), SC_(-0.3568328873757026723718279708146103263332e-2) }}, 
+      {{ SC_(0.31e2), SC_(0.25554705810546875e3), SC_(-0.4708447548154973984774979548889890332232e-3) }}, 
+      {{ SC_(0.31e2), SC_(0.503011474609375e3), SC_(0.1938585486734996435913653188875075463759e-2) }}, 
+      {{ SC_(0.31e2), SC_(0.10074598388671875e4), SC_(0.4751515606683130102889789705916848210342e-3) }}, 
+      {{ SC_(0.31e2), SC_(0.1185395751953125e4), SC_(-0.8358404490289695691960973315323391126047e-3) }}, 
+      {{ SC_(0.34e2), SC_(0.51139926910400390625e1), SC_(-0.9282996603826470817559175093201479899353e23) }}, 
+      {{ SC_(0.34e2), SC_(0.95070552825927734375e1), SC_(-0.5671896870965902667567112773375443299376e14) }}, 
+      {{ SC_(0.34e2), SC_(0.24750102996826171875e2), SC_(-0.1196836896972653347610997098886066849879e2) }}, 
+      {{ SC_(0.34e2), SC_(0.637722015380859375e2), SC_(-0.7840611740006562731867360753764337981193e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.1252804412841796875e3), SC_(-0.2528119461363815663298862242098595394995e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.25554705810546875e3), SC_(0.3790521728300347929686504759069995348496e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.503011474609375e3), SC_(0.6131119580874945273384687636612133212937e-4) }}, 
+      {{ SC_(0.34e2), SC_(0.10074598388671875e4), SC_(-0.9142183498980430984586827864611642159497e-3) }}, 
+      {{ SC_(0.34e2), SC_(0.1185395751953125e4), SC_(-0.4511848776391923835124583337569697441159e-4) }}, 
+      {{ SC_(0.37e2), SC_(0.51139926910400390625e1), SC_(-0.2442375728698405242925453667580696210245e27) }}, 
+      {{ SC_(0.37e2), SC_(0.95070552825927734375e1), SC_(-0.2229542216375343293897440256273780674204e17) }}, 
+      {{ SC_(0.37e2), SC_(0.24750102996826171875e2), SC_(-0.1737444169853745325867053393033933403419e3) }}, 
+      {{ SC_(0.37e2), SC_(0.637722015380859375e2), SC_(0.4279824575041896675727883899347662880186e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.1252804412841796875e3), SC_(0.6929401282911254411240566948180148883389e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.25554705810546875e3), SC_(-0.2511648418349492118440212332844329555998e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.503011474609375e3), SC_(-0.1957162644941089839867703502493036932186e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.10074598388671875e4), SC_(-0.2872884073535241094708945526011230038645e-3) }}, 
+      {{ SC_(0.37e2), SC_(0.1185395751953125e4), SC_(0.8432140708713275871141861113932655356805e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.95070552825927734375e1), SC_(-0.1128026063781401159493204975300213163583e20) }}, 
+      {{ SC_(0.4e2), SC_(0.24750102996826171875e2), SC_(-0.3536320450284364302528532664762113675546e4) }}, 
+      {{ SC_(0.4e2), SC_(0.637722015380859375e2), SC_(0.2749332472515275038091640131810993326854e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.1252804412841796875e3), SC_(-0.8189335561734438098491340276810366230728e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.25554705810546875e3), SC_(-0.1601472101873495352874904527747422350107e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.503011474609375e3), SC_(0.8063429370382054903944011477925178824483e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.10074598388671875e4), SC_(0.9774185681131416958979641163273033546007e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.1185395751953125e4), SC_(-0.1146975806174666671253112473359257996345e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(-0.7198591295447037635860529334856057232135e22) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(-0.9641200720117521887788006798691601480704e5) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.1236200080963258936021132338688942409822e-1) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.6766741286829961971926652018652618379149e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(0.3930507468976728535272404195834679836265e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(0.1564028674659955458649814316707562782221e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(0.5187580633057582060435802616437238457919e-4) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(-0.8191603697467604740041636746614045025268e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(-0.5695769033255529210361047038599776733494e25) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(-0.3407542572880364861061570256982516465991e7) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.1892031070374081055519173538522022424373e-1) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.3930999501654252080115547096167591365109e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.2252774787151350219685297262688267474083e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.160470127490624290303361714195055152753e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(-0.9898053187382996942921915807261270222834e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.2945850112272429804450537869110995190276e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(-0.5505988900115077682063953616131381316684e28) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(-0.1522647860770080599776352342021496844231e9) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(-0.117811227613905121473227334683521728565e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.8581798088552142472627658285170409572199e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(-0.1525297082577234374630319883497973286237e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(-0.6789386510763052793814186176994423811279e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.2213660813860061497235236488103940641175e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(0.7493404081650790642056171825780752281226e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(-0.8431613692546440958427835805924554720791e10) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.1115225300535010626455229302801432083119e-1) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(0.1744660661299516008597246745970354205394e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(0.3871637644673301315119914349891630279192e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(0.1991638261007561367287975226510189975247e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(0.9236248731028976631695212457160479065712e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.4815665463345610915674607850479789186718e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(-0.5691393603639469399255323205962188964084e12) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(0.2006392327938634300862385080463293572511e-1) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(-0.3619108023378490361858076559653708839139e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.2962856754548850012378937612844037689574e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.5505670779964820186689463080699492719812e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.5086536723538768197623992809520331865266e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(-0.6210859629328079732529943111160023713285e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(-0.4618503933439028301329509946039169091138e14) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.1402558269735743898212790386772249256841e-1) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(0.4775384619486356255055098430929380737203e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(-0.2015373395162996137089683702058573806025e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(-0.1623050637742511470123447378958753891598e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(-0.7550604452502297124697636692423906683648e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.6549895436356671365157678660370603606525e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(-0.4452493733367375303990916467937068229415e16) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(-0.1321805471789013172474419554540756891808e-1) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(-0.531088356762363908667551449646716451263e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(0.3137411891941427755699863352585675704239e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.1656289965758384211758434873072034259055e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.7696420775050426274332928912448241809519e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(0.4272402417161322625448726249065820441606e-3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/sph_neumann_prime_data.ipp b/src/boost/libs/math/test/sph_neumann_prime_data.ipp
new file mode 100644
index 00000000..1a94d290
--- /dev/null
+++ b/src/boost/libs/math/test/sph_neumann_prime_data.ipp
@@ -0,0 +1,273 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 263> sph_neumann_prime_data = {{
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(359333999.0655634324694531404939614737681147243398) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(183360074.96057352268211511791232035239121240115451) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(4847562.2468641634106491550315653183518163006043786) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(678805.85544845556066692725239262977651894085545557) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(366280.13369684057840601322690121155290414400996075) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(8586.7941809522805029274990167921047078879662919446) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(1169.4998238937076881620656431058513489697019811062) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(562.53042353423103453138252280708489801338881213709) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(29.528280235146191217326195255607801255694362737253) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(7.3029808834190858799087148290075956031296309375727) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(1.7520363088235556716887070699283989345431477734288) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.26522379852724621859878052016880863366699269358044) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.14097973215016883551297824250408378174352082729301) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.10069101383864637167971294727460193305761274025824) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-0.03857863218596576826951489664721779319603309324794) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.0088421582424313314233043751627027752297847168831446) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-0.0074496889272010504240132511011466429248577218770129) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.0018240659824485386662074451116218711462193917448094) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.0018601485837823667935137723026886188368476364922577) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.0005451101158650447149405572398059096253944883094538) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.00044365982633623047848806840178568249990997694189554) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(912431644082.87013473772752757882565300486288333057) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(372056592577.8586498192494156231399648464957675173) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(2930230007.2790547450960609343138097920878586745713) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(213076184.06160999468936202617229638832164230987561) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(93604014.350278903611780200483209022625430010130218) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(628155.9196789361284981387791525806930365557094831) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(44041.790324511420099836446386761002939531625293417) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(16605.418643047139063623067814083272008540956587807) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(327.3911893069065300460497366590889841990083098882) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(50.24073714927227871027454636072509051101950218415) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(6.5616852336268826560069305111479773650366271702116) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(0.31830387145238634428775905874567477304417971742745) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.063403430051669078970604766527701952854238434961942) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(0.050791697756503267541605619450228936547727403708921) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.0088285027687993158359101383429936457186371674756963) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(-0.013217848733187320629471277317281588139976373991784) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(0.0027468640217234051899448674476334240352291987005143) }}, 
+      {{ SC_(0.2e1), SC_(0.25554705810546875e3), SC_(0.003476155383169156295453512402626845717328268463924) }}, 
+      {{ SC_(0.2e1), SC_(0.503011474609375e3), SC_(-0.00070888293007864555913788791750119042130260317328753) }}, 
+      {{ SC_(0.2e1), SC_(0.10074598388671875e4), SC_(-0.00082843368570387450128677090306415548913704194916207) }}, 
+      {{ SC_(0.2e1), SC_(0.1185395751953125e4), SC_(0.00071826155681922902688738021549159055926818593480833) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(16947123409621148414.396327196120566029578437392813) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(4412746298117679912.5476436086536482775964646698861) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(3084232663701475.0519943611860465528405551386978695) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(60477564405179.92170204301713541728614145137832873) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(17608882728707.981141578534325134913615099863601217) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(9678996255.1839771441306321620856494913675484946763) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(179615421.48501730340443167583969039181659482187014) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(41568669.223882664831565782529582977445018981874865) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(114477.96557716961680908792136752397886415952361251) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(6828.184335714898569600465623663987348840443359789) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(316.14485727885901077459451396302676190870103568588) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.86884700805175975591584736561398300081460003884222) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(0.16791724343614794946391017435502169272831744332145) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(-0.095704132354117951696884047015921179063199913694684) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(0.0025614398654636627528799275032206175552292334487349) }}, 
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+      {{ SC_(0.37e2), SC_(0.24750102996826171875e2), SC_(198.35197649315515480666754289362082898900791193621) }}, 
+      {{ SC_(0.37e2), SC_(0.637722015380859375e2), SC_(-0.01375760705330807345614565402717351018943495443364) }}, 
+      {{ SC_(0.37e2), SC_(0.1252804412841796875e3), SC_(-0.0041905499044392954566391608456503090018828563845449) }}, 
+      {{ SC_(0.37e2), SC_(0.25554705810546875e3), SC_(-0.0029858319282128829161898140770519378104557139633838) }}, 
+      {{ SC_(0.37e2), SC_(0.503011474609375e3), SC_(0.00036729094524412051401273989003740717062980060688245) }}, 
+      {{ SC_(0.37e2), SC_(0.10074598388671875e4), SC_(0.0009500972788255472138682524359586249966818084124897) }}, 
+      {{ SC_(0.37e2), SC_(0.1185395751953125e4), SC_(-3.2437022159506601767869761333307203620580135563454e-05) }}, 
+      {{ SC_(0.4e2), SC_(0.95070552825927734375e1), SC_(47268796561654091913.21885247386040117659682095943) }}, 
+      {{ SC_(0.4e2), SC_(0.24750102996826171875e2), SC_(4606.7040142147850792803020694047494400748211653216) }}, 
+      {{ SC_(0.4e2), SC_(0.637722015380859375e2), SC_(0.013562004570933124279517274139642462528686206440721) }}, 
+      {{ SC_(0.4e2), SC_(0.1252804412841796875e3), SC_(-0.00041588274991310711126081297665967636013857745446983) }}, 
+      {{ SC_(0.4e2), SC_(0.25554705810546875e3), SC_(0.0035586883403878123477844058879369697437673947133221) }}, 
+      {{ SC_(0.4e2), SC_(0.503011474609375e3), SC_(0.0018131766439672851611563109699327051006611199062371) }}, 
+      {{ SC_(0.4e2), SC_(0.10074598388671875e4), SC_(0.00017408878243352074794695364554566820276448376006598) }}, 
+      {{ SC_(0.4e2), SC_(0.1185395751953125e4), SC_(-0.00083543030218971769025179620317949596324571402640036) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(32500360104264727046308.146495002237236714938536775) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(140319.86563844375643251793350654568289049492610375) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.0096267376340265225211094817925940133954153703370664) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.0043560140881858073888809144573238039949661594523397) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(-0.00031253687873517078281423720249041760336117120554213) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(-0.0012317584023837640987228434293712078936100004695316) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(-0.00099082942818446734158567078312933705353358708741562) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(0.00020332834519802191669450520654038153178180499044216) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(27556304081722380191469757.839963090281115024955617) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(5460360.0519125590046811338199739390242963769551275) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.00021996313581805877547109053676243264229609448401546) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.0067365807847722924728078569602308485680548138850523) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.0031769931861025285948261739916321991464748792623825) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.0011724931458855457146611059405688017528264086757474) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(8.2027027876290107562817318212946635139688618895064e-05) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.00078998332674918935235701582203886128179169986861445) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(28412334702306431778126338444.792912175084092172461) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(265743930.09679637876869531571415436007800862296168) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(0.010319339492941490779460494055534452117308684781928) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.0076023313546937034353429580343679917714310757786706) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(0.0035815143137077770928448016540062474995877646721405) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(0.001865913325873840877319056345281514118241157845756) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.00096682247432286716385438217247828581211359653422397) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(-0.000388586899659198186891519102479531432041130568781) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(15893157275.122226566220557959269076490453909124079) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.0096302473159184929027710000066333144170253616671895) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.0074545924357825301642459217582531271544134872343904) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.00080879003330325323340905178789863734480124495245469) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(8.1151143271151726667386346137720286207720626052118e-05) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.00036580236943768612394106051133591541539471447114889) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.00069206098677479164879794530096208787047403308451152) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(1150881378498.7240629877032734540893043377259132461) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.0055659330225608348472348293061912067012265452045085) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.0068584055909589623364730635647768170037383432049856) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.0025538479374245016450395329559033991854018544546084) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.0019038095539531314565983259165272087953657428209132) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.00085143692817422231458849750249354253316300952418448) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.00057146982680160633443321926900816730867828953472445) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(99637458504766.599402951818228283069038577281703857) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.0074840655605533504647638493963517423653208741540798) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.0062490466609213366120682904454197041049780262693866) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.0038566950072613874190636282359231797446877949977414) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.0011551017762500538777915940155070123096067942509318) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.00064525769298951483096139687718953092418554627173474) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.00053126211182582456060109092817573149262252147893062) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(10200415357676638.644750361795135145594072603652636) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.0086628300233647818111928402843048524079382068716092) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.0058886800403071930616493809170602939043259848676386) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.0023768899546913911289426595387509086740790442673056) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.0011013576751210479703859408863272805380257648486171) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.00062634433378004345030784518155685543112952577014323) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.0007274509061559619351949711918452106349817721397035) }},
+   }};
+
+
+
diff --git a/src/boost/libs/math/test/spherical_harmonic.ipp b/src/boost/libs/math/test/spherical_harmonic.ipp
new file mode 100644
index 00000000..def64366
--- /dev/null
+++ b/src/boost/libs/math/test/spherical_harmonic.ipp
@@ -0,0 +1,1010 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 1000> spherical_harmonic = {{
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.6223074436187744140625e1), SC_(-0.983176708221435546875e0), SC_(0.62736841735769885881246893757736785347239567286304e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.5057456493377685546875e1), SC_(0.59339153766632080078125e0), SC_(-0.20713028443163886820218719974386053923059852163073e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.4687422275543212890625e1), SC_(0.5891966342926025390625e1), SC_(-0.31480190270523966739513025513763623833894947272512e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.28032686710357666015625e1), SC_(0.46800785064697265625e1), SC_(0.52655067270403872306721376357891919506022788695237e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.1743031024932861328125e1), SC_(0.4387288570404052734375e1), SC_(-0.28759993950019252230305986773209798109581312882458e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.30552928447723388671875e1), SC_(-0.317191779613494873046875e0), SC_(0.62375382255600227118437993629928966318732328906381e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.3735729694366455078125e1), SC_(-0.5883162021636962890625e1), SC_(0.33428112636668248892477814957401134243912590455598e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.37734358310699462890625e1), SC_(-0.25506031513214111328125e1), SC_(0.30071249849279422035163175145138750883542632972971e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.54537200927734375e1), SC_(0.2279031276702880859375e1), SC_(0.1160546117367807407152783138997786541874144507988e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(-0.458073139190673828125e1), SC_(0.509933185577392578125e1), SC_(0.37939894994349071850195546472417494785116097463318e-1), SC_(-0.93107300900343613424961589916279630747721170081866e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(-0.97907507419586181640625e0), SC_(0.195379292964935302734375e1), SC_(-0.13365658387823648349917293511332555081805906708217e0), SC_(0.33174333022099396014687314581478847312444020861066e0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.475549983978271484375e1), SC_(0.5774152278900146484375e1), SC_(0.29046640079014036022889946316442406419301954589267e-1), SC_(-0.16210635922809696460530259867846941769692426758954e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.52242870330810546875e1), SC_(0.175631821155548095703125e1), SC_(-0.60855473088463839496314678179027675166851871018551e-1), SC_(0.32425114600308867975046215949339819893698567878093e0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.5877228260040283203125e1), SC_(-0.4302561283111572265625e1), SC_(-0.11167901750699566664933060087163004380052822920546e0), SC_(0.25707237315223816631488907449414263457063550537321e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.4902621746063232421875e1), SC_(-0.18377502262592315673828125e0), SC_(0.34758668332269754124667464441534904092678544008633e0), SC_(-0.13383731780379523410231053175504807605617305066684e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.4131989955902099609375e1), SC_(-0.24892330169677734375e1), SC_(0.71028469303627438443505218504789723476775735703371e-1), SC_(0.26061737572960702576362821401262553454136075924086e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.39159076213836669921875e1), SC_(0.589130580425262451171875e0), SC_(0.72243575677708396654934991200786489958595832424973e-1), SC_(0.17449231348731311339771539907208960289022209309613e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.35055897235870361328125e1), SC_(0.16632754802703857421875e1), SC_(-0.48123182288009319551515814304893416646752842717278e-1), SC_(-0.90036880226735999457627735549531053450913137683366e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.12724893093109130859375e1), SC_(0.32388579845428466796875e1), SC_(0.34625198570942398650986171441955620010816501680557e0), SC_(0.6821932943579386165556674909693473588513398324536e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.19570953845977783203125e1), SC_(0.37438814640045166015625e1), SC_(0.11868540133295449383018733211573720238248966454746e0), SC_(0.30946390521414868955137848944282844227519588015905e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.5749200344085693359375e1), SC_(0.623871707916259765625e1), SC_(0.9966808034179761849929083987599231751430505405574e-1), SC_(-0.88875708639419834563244802526935291667296729862762e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.5913643360137939453125e1), SC_(0.6045803070068359375e1), SC_(0.44818825447699183791615026234271299189304152367279e-1), SC_(-0.23035725896903097839072699428746139571750062847173e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.440936374664306640625e1), SC_(-0.5062591552734375e1), SC_(0.2844959862964824854388237165468357597848603400639e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.3934875011444091796875e1), SC_(-0.11469180583953857421875e1), SC_(0.14121291094740439000611232468259189623852053498783e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.552507817745208740234375e0), SC_(-0.2055795304477214813232421875e-1), SC_(0.19783391750498753000939983604310666040001705067569e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(0.2055927753448486328125e1), SC_(-0.76976108551025390625e0), SC_(0.33285173555020716750381297236585266229434503862998e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.6247767925262451171875e1), SC_(0.194901907444000244140625e1), SC_(0.16876892664773021474708993031012643521641026445293e-1), SC_(-0.42473255665367397599231902837920937763489895056333e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.47100925445556640625e1), SC_(-0.22983958721160888671875e1), SC_(-0.21493410580929797924752259751422347054230070438068e0), SC_(-0.24133524984657105208106822870162658732975114112697e0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.423974609375e1), SC_(0.18090667724609375e1), SC_(0.2460020537420461905141929611988448892491267501235e-2), SC_(-0.10128361841653616652755617311405848132460463121178e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.148838031291961669921875e1), SC_(-0.3641620159149169921875e1), SC_(0.27307271430136733126056860410690628785894268952483e0), SC_(-0.14919005653183612118737489713533290688614488819696e0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(0.528886890411376953125e1), SC_(0.32004873752593994140625e1), SC_(-0.13132892216208786526729131339765405257419451394884e0), SC_(-0.77435354342006197456232571693201218623653117535312e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(-0.563958072662353515625e1), SC_(0.3709591388702392578125e1), SC_(0.12400538306523070140083527916246828402942458169912e0), SC_(0.26699858682144904684388476504336635512136556796993e0) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(-0.28145520687103271484375e1), SC_(0.25858356952667236328125e1), SC_(-0.4427518193860363815453664754812317897095435941741e-1), SC_(0.89525230913027456917186909094786496675085768579997e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(0.5657657146453857421875e1), SC_(-0.11826162040233612060546875e0), SC_(0.27612706743908622809999597264410624935441554778235e0), SC_(-0.66556246601320034007511476245916059803884974109287e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(0.5777313232421875e1), SC_(0.92682850360870361328125e0), SC_(-0.58588098669530777703405917826904778693250781231732e-1), SC_(0.20157326960446402040769133558058970326764280176092e0) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(-0.527923882007598876953125e0), SC_(-0.683784008026123046875e0), SC_(-0.24654062825223548093087660191000851588872270901477e-1), SC_(-0.47291850857448633744932273700908288294545006619689e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(0.1838623523712158203125e1), SC_(0.36941986083984375e1), SC_(-0.3251989759113359602179775532073865855506456807785e-1), SC_(0.37275562661891880526110138370423344373839148188933e0) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(0.4064691066741943359375e1), SC_(0.4045156002044677734375e1), SC_(0.19225943415968710973448026931813683101145483967527e0), SC_(-0.88384340622034426527979275575844466979738642942222e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.0), SC_(-0.440710163116455078125e1), SC_(-0.33909590244293212890625e1), SC_(0.60872192197795412389189648659338955746589054925866e-1), SC_(0.0) }}, 
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+      {{ SC_(0.47e2), SC_(0.11e2), SC_(0.7798192501068115234375e0), SC_(-0.7041451930999755859375e0), SC_(-0.56653310111911531477233240689992111230625108233036e-2), SC_(0.52065832061739333971520273981969883254825594657534e-1) }}, 
+      {{ SC_(0.47e2), SC_(0.12e2), SC_(0.4662929534912109375e1), SC_(-0.9241869449615478515625e0), SC_(0.23362894693871191987918828430964470190930593496574e-1), SC_(0.24604723434869110858598425017491701426924638144305e0) }}, 
+      {{ SC_(0.47e2), SC_(0.12e2), SC_(0.559471797943115234375e1), SC_(0.2798630237579345703125e1), SC_(0.17033489008554011818661187796298714500018186073295e0), SC_(-0.250673941390055873246229086782342877123592075417e0) }}, 
+      {{ SC_(0.47e2), SC_(0.16e2), SC_(0.2135078907012939453125e0), SC_(0.17677328586578369140625e1), SC_(-0.40270055436638473531410355130447754148130521624792e-2), SC_(-0.37822169118264880418889481540869124483351373905041e-4) }}, 
+      {{ SC_(0.47e2), SC_(0.2e2), SC_(-0.195895731449127197265625e1), SC_(-0.579391777515411376953125e0), SC_(-0.15577860999005695928154075733762613389761234158943e0), SC_(-0.23152551164929220445481581901016524977854444194532e0) }}, 
+      {{ SC_(0.47e2), SC_(0.21e2), SC_(0.4007311165332794189453125e0), SC_(0.47393741607666015625e1), SC_(-0.70272896583053034791238962988375990671208121812288e-1), SC_(0.11043869498561021486738079932321951805943232163813e0) }}, 
+      {{ SC_(0.47e2), SC_(0.22e2), SC_(-0.24021832942962646484375e1), SC_(-0.17589018344879150390625e1), SC_(-0.22524795870491574224537613981959148215876594881665e0), SC_(0.34829144959822154881414680836189838260621088876932e0) }}, 
+      {{ SC_(0.47e2), SC_(0.23e2), SC_(-0.6144268035888671875e1), SC_(-0.19239718914031982421875e1), SC_(-0.21428418065072641195187189772881405126431473733192e-10), SC_(0.59087250125232030799036036471778804738471950937741e-11) }}, 
+      {{ SC_(0.47e2), SC_(0.24e2), SC_(-0.90589809417724609375e0), SC_(-0.69550454616546630859375e0), SC_(0.21621145388913791954852453820974859105758383446149e0), SC_(-0.325269227515941384150753099077386791354732112632e0) }}, 
+      {{ SC_(0.47e2), SC_(0.28e2), SC_(-0.4909250736236572265625e1), SC_(-0.34989111423492431640625e1), SC_(0.2849042481648421063594526222235567477585168996532e0), SC_(-0.18671717508379687462424778809383789120058232562727e0) }}, 
+      {{ SC_(0.47e2), SC_(0.31e2), SC_(0.731376349925994873046875e0), SC_(0.25832922458648681640625e1), SC_(0.14558311977380004242663313719763696307600681918104e-1), SC_(0.50973041759102896592485887663785873189653213696073e0) }}, 
+      {{ SC_(0.47e2), SC_(0.31e2), SC_(0.4225698947906494140625e1), SC_(0.448341846466064453125e1), SC_(-0.10048142070645931863483498239705078295501286342258e0), SC_(-0.94720792669270806839081551900740318275224474965324e-1) }}, 
+      {{ SC_(0.47e2), SC_(0.33e2), SC_(-0.23726341724395751953125e1), SC_(0.346272182464599609375e1), SC_(0.15886769869597684035077430317752989569837414157117e0), SC_(0.37753328887917336010699798430583391320850404839209e0) }}, 
+      {{ SC_(0.47e2), SC_(0.36e2), SC_(0.345058917999267578125e1), SC_(0.24347667694091796875e1), SC_(-0.42764431337120844123235375883123149895117279758459e-12), SC_(0.13839773517362302854143994286869291829733243112091e-12) }}, 
+      {{ SC_(0.47e2), SC_(0.37e2), SC_(0.2493927001953125e1), SC_(-0.4316608428955078125e1), SC_(0.66667168495166953309758312008417545833856092128204e-3), SC_(0.37003730562098288570362491190035224799197658320599e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.2e1), SC_(-0.2035869121551513671875e1), SC_(-0.6225636005401611328125e1), SC_(0.28606894490141744647813319476199313844842342813869e0), SC_(0.33072309108214894083517702632450561761016797624373e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.5e1), SC_(0.13228361606597900390625e1), SC_(0.14751684665679931640625e1), SC_(-0.84852408402337008554120048209601235452611537689521e-1), SC_(-0.16372931389555959806105883386148626432700901477429e0) }}, 
+      {{ SC_(0.48e2), SC_(0.8e1), SC_(-0.61489925384521484375e1), SC_(-0.557976818084716796875e1), SC_(0.19079773202103238064509095581513541982710490971462e0), SC_(-0.14681385693827482231520169778980942919825638751309e0) }}, 
+      {{ SC_(0.48e2), SC_(0.9e1), SC_(0.1855456829071044921875e1), SC_(-0.34094126224517822265625e1), SC_(-0.20465278494968209294999961968701797552184796734969e0), SC_(-0.18359488295947017699172291314906035468217255253267e0) }}, 
+      {{ SC_(0.48e2), SC_(0.11e2), SC_(-0.510445415973663330078125e0), SC_(-0.2179370403289794921875e1), SC_(-0.17415801107756946800231879780099729296579201750249e0), SC_(-0.39946809289135814220017962080684064709296251216702e0) }}, 
+      {{ SC_(0.48e2), SC_(0.12e2), SC_(0.5127735137939453125e1), SC_(0.147180497646331787109375e1), SC_(0.10235270561549462717073795224019921669009190057754e0), SC_(-0.25411603142079242733272237982972076450193559196436e0) }}, 
+      {{ SC_(0.48e2), SC_(0.13e2), SC_(-0.28512251377105712890625e1), SC_(0.21358762681484222412109375e0), SC_(0.65082793160341590914926316444150324051891586307335e0), SC_(-0.24866103078135174972315060854694095694134464474465e0) }}, 
+      {{ SC_(0.48e2), SC_(0.15e2), SC_(0.21509382724761962890625e1), SC_(0.505238056182861328125e1), SC_(0.33153682677233458889683871883764794291900552041288e0), SC_(0.13530604504841517586204066208483785803300406806222e0) }}, 
+      {{ SC_(0.48e2), SC_(0.17e2), SC_(-0.410233306884765625e1), SC_(-0.5055477142333984375e1), SC_(0.120658610881024129421142111496549042350283006718e0), SC_(-0.24934508488272542971829338925578466799768762724609e0) }}, 
+      {{ SC_(0.48e2), SC_(0.18e2), SC_(0.419954395294189453125e1), SC_(-0.31286038458347320556640625e-1), SC_(0.18229465107186350461724966401750299694404393980909e0), SC_(-0.11509073643647539446369783158526832981463008146529e0) }}, 
+      {{ SC_(0.48e2), SC_(0.19e2), SC_(0.33512248992919921875e1), SC_(0.5698537349700927734375e1), SC_(-0.11430916047691646574027070138178816779368218597795e-4), SC_(-0.10096469757450613482659522651534357791031593710281e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.2e2), SC_(-0.4913626194000244140625e1), SC_(0.4570525646209716796875e1), SC_(0.27544694591170425084361640327912372332575356920479e0), SC_(0.86513078636045023383894712247218808351168016037179e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.22e2), SC_(-0.35437946319580078125e1), SC_(-0.14283583164215087890625e1), SC_(0.92521800679569304410458632278427028786030152854651e-1), SC_(-0.73615833685271087989994719034708442687869544183798e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.24e2), SC_(0.2529537379741668701171875e0), SC_(-0.13951661586761474609375e1), SC_(-0.14461558442027612635993431382924805648986580565293e-5), SC_(-0.26644654773805667856532999455349036511597661939098e-5) }}, 
+      {{ SC_(0.48e2), SC_(0.25e2), SC_(-0.5302140712738037109375e1), SC_(0.534227657318115234375e1), SC_(0.14567724220048959327288429307006198049897616049705e-1), SC_(-0.37118356905088388538181275498694280409563892893147e0) }}, 
+      {{ SC_(0.48e2), SC_(0.26e2), SC_(0.4788922786712646484375e1), SC_(0.114234256744384765625e1), SC_(-0.49889909138094330244956751684356082959364552066594e-1), SC_(-0.34351914682484557095802003482605269948574737582585e0) }}, 
+      {{ SC_(0.48e2), SC_(0.29e2), SC_(-0.155845987796783447265625e1), SC_(0.265560741536319255828857421875e-2), SC_(-0.16358032708366624805995699759082827770270765931603e0), SC_(-0.12622713495579813089501286854682899269376306838204e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.31e2), SC_(-0.814608156681060791015625e0), SC_(-0.5973989009857177734375e1), SC_(-0.21849236027340450931517916914197181334381665924407e0), SC_(-0.35329064201860941281957627439495576583081752554927e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.34e2), SC_(0.5690162181854248046875e1), SC_(-0.4747711181640625e1), SC_(-0.14208000946756588475345650324158728024525891044283e-2), SC_(0.36648708355068107608507564157213823609107549413423e-2) }}, 
+      {{ SC_(0.48e2), SC_(0.36e2), SC_(-0.606925201416015625e1), SC_(-0.6036619663238525390625e1), SC_(-0.33060032760649252071566767946067882261145163749527e-17), SC_(0.20197241068338690816933400483260997588417796049136e-17) }}, 
+      {{ SC_(0.48e2), SC_(0.36e2), SC_(-0.557515811920166015625e1), SC_(0.549843120574951171875e1), SC_(-0.29793042772484214996215596790395794084288963000676e-1), SC_(-0.69091218291545995969013380580434842461096487036142e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.37e2), SC_(-0.4484233856201171875e1), SC_(-0.586126422882080078125e1), SC_(0.28783210566723256763209668589242474045102053584988e0), SC_(-0.27973722891666817142600363847230369142196912070032e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.4e1), SC_(0.7450397014617919921875e0), SC_(-0.486802196502685546875e1), SC_(0.43523446367954232471457024383074543728337571811041e-1), SC_(-0.31238445205075929681258187766528850038918026320874e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.5e1), SC_(-0.705654084682464599609375e0), SC_(0.36159880161285400390625e1), SC_(0.33812266273696200694321547558772118159278050274115e-1), SC_(-0.32761490529250158683739840580938438700363222937706e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.6e1), SC_(0.4099590480327606201171875e0), SC_(-0.148899996280670166015625e1), SC_(0.33872549952379279074817297974186583810635403131808e-1), SC_(0.18101089014763158990806574103071386037200021990488e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.6e1), SC_(0.288681316375732421875e1), SC_(0.555331707000732421875e1), SC_(-0.17299631476757984574148560709032937173460259126009e0), SC_(0.49987182677495761333169759620280021625021164232635e0) }}, 
+      {{ SC_(0.49e2), SC_(0.8e1), SC_(-0.28113791942596435546875e1), SC_(0.4268764019012451171875e1), SC_(0.11234284818582161154493446715155148494092582868555e0), SC_(-0.4848176775276798667653033304055062110686751478506e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.8e1), SC_(-0.175365102291107177734375e1), SC_(0.3699061870574951171875e0), SC_(0.150510223757467945212888241106383078890968767236e0), SC_(-0.27752777621993241253038961455135547546359775538701e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1e2), SC_(-0.623242966830730438232421875e-1), SC_(0.99178183078765869140625e0), SC_(-0.39129153600073467169496931061202903620397035718226e-4), SC_(-0.21024087848986552498673205313374207046750995885514e-4) }}, 
+      {{ SC_(0.49e2), SC_(0.11e2), SC_(0.4610438823699951171875e1), SC_(0.516170978546142578125e1), SC_(-0.64931321841066713098308595750847102912382779925862e-1), SC_(-0.15212818549984179656962126137889372220056261241257e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.12e2), SC_(-0.492767429351806640625e1), SC_(0.5237930774688720703125e1), SC_(-0.25815646423352702571250699074506009315207777917256e0), SC_(-0.60203250835447592212607712693653576640800332594405e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.12e2), SC_(-0.285912036895751953125e1), SC_(0.203067779541015625e1), SC_(-0.58309335353629437699137207747030784181611219363777e0), SC_(0.55933823022969032857356665544019317581369057604275e0) }}, 
+      {{ SC_(0.49e2), SC_(0.21e2), SC_(0.213364541530609130859375e0), SC_(0.3487752437591552734375e1), SC_(0.68979677728313700400977850242007578301598557836144e-5), SC_(0.10423031489346059064213401632074682208378658096143e-4) }}, 
+      {{ SC_(0.49e2), SC_(0.24e2), SC_(-0.5363933563232421875e1), SC_(-0.13800899982452392578125e1), SC_(-0.39624366668844441499649851882221871259293339848909e-1), SC_(-0.29077551093957529339300484162110207541478366743715e0) }}, 
+      {{ SC_(0.49e2), SC_(0.24e2), SC_(0.113704526424407958984375e1), SC_(-0.524048984050750732421875e0), SC_(-0.95716020864868532424772271176706645369949424860348e-1), SC_(0.10342521283811512447413822494381438186657088095508e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.26e2), SC_(0.195927083492279052734375e1), SC_(0.2748439788818359375e1), SC_(0.11971762382480258608379673285431990043583083168738e0), SC_(-0.12257642890929780276867696344794516000179864725662e0) }}, 
+      {{ SC_(0.49e2), SC_(0.27e2), SC_(0.49123775959014892578125e0), SC_(0.2262770175933837890625e1), SC_(0.10204568382238142188564702604070162264838835105016e-1), SC_(0.60809845254720905762068213640063158711493179195797e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.28e2), SC_(-0.26242389678955078125e1), SC_(0.551108074188232421875e1), SC_(0.62995535686340908516656601005584507927420828344839e-1), SC_(0.24594729609877561046325340633244478848156201312828e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.29e2), SC_(-0.30029771327972412109375e1), SC_(-0.2872400760650634765625e1), SC_(-0.55339515369306716058956107221780747493058274670244e-17), SC_(-0.11662133768710831442193525927180620131415498665886e-15) }}, 
+      {{ SC_(0.49e2), SC_(0.3e2), SC_(0.611942386627197265625e1), SC_(-0.63407027721405029296875e0), SC_(0.1394293153272931999882487586325865494180618327615e-14), SC_(-0.24300519585643234499387785103683410462334687962488e-15) }}, 
+      {{ SC_(0.49e2), SC_(0.35e2), SC_(-0.166894090175628662109375e1), SC_(0.4225218296051025390625e1), SC_(-0.35508021992434406559798366674327649256336649541254e0), SC_(-0.82310724679645695220583934477252032989621192496738e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.36e2), SC_(-0.32497041225433349609375e1), SC_(0.107579600811004638671875e1), SC_(-0.17013596752796213880005913256594710378533147240406e-27), SC_(-0.28302568795764666512713804293802636201022080165826e-27) }}, 
+      {{ SC_(0.49e2), SC_(0.37e2), SC_(-0.5017117023468017578125e1), SC_(0.383155155181884765625e1), SC_(-0.35232624098397971030888657233932783396857095781041e0), SC_(-0.14719428675619986819270542639579914303323853912089e0) }}, 
+      {{ SC_(0.49e2), SC_(0.37e2), SC_(-0.23628532886505126953125e1), SC_(-0.123920929431915283203125e1), SC_(-0.40342907812326051474768377766202705403179945762591e-1), SC_(-0.13151134923462644400467105161114547636592907143886e0) }}, 
+      {{ SC_(0.49e2), SC_(0.38e2), SC_(0.33035366535186767578125e1), SC_(0.2936229705810546875e1), SC_(-0.14617119042429598121920579635742118107020065282388e-24), SC_(0.29099331615315387488356539500057397404411535737234e-23) }}, 
+      {{ SC_(0.49e2), SC_(0.4e2), SC_(0.4189170360565185546875e1), SC_(-0.5219272136688232421875e1), SC_(-0.71881448396381481201576224141351106542999167239121e-1), SC_(0.49216549050921898631651418491099543778321238775524e0) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/std_real_concept_check.cpp b/src/boost/libs/math/test/std_real_concept_check.cpp
new file mode 100644
index 00000000..1554734e
--- /dev/null
+++ b/src/boost/libs/math/test/std_real_concept_check.cpp
@@ -0,0 +1,199 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+#include "compile_test/instantiate.hpp"
+
+//
+// The purpose of this test is to verify that our code compiles
+// cleanly with a type whose std lib functions are in namespace
+// std and can *not* be found by ADL.  This verifies that we're
+// not finding std lib functions that are in the global namespace
+// for example calling ::pow(double) rather than std::pow(long double).
+// This is a silent error that does the wrong thing at runtime, and
+// of course we can't call std::pow() directly because we want
+// the functions to be found by ADL when that's appropriate.
+//
+// Furthermore our code does different things internally depending
+// on numeric_limits<>::digits, so there are some macros that can
+// be defined that cause our concept-archetype to emulate various
+// floating point types:
+//
+// EMULATE32: 32-bit float
+// EMULATE64: 64-bit double
+// EMULATE80: 80-bit long double
+// EMULATE128: 128-bit long double
+//
+// In order to ensure total code coverage this file must be
+// compiled with each of the above macros in turn, and then 
+// without any of the above as well!
+//
+
+#define NULL_MACRO /**/
+#ifdef EMULATE32
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 24;
+   static const int digits10 = 6;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -125;
+   static const int min_exponent10 = -37;
+   static const int max_exponent = 128;
+   static const int max_exponent10 = 38;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE64
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 53;
+   static const int digits10 = 15;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -1021;
+   static const int min_exponent10 = -307;
+   static const int max_exponent = 1024;
+   static const int max_exponent10 = 308;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE80
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 64;
+   static const int digits10 = 18;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE128
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 113;
+   static const int digits10 = 33;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+
+
+
+int main()
+{
+   instantiate(boost::math::concepts::std_real_concept(0));
+}
+
+
diff --git a/src/boost/libs/math/test/table_type.hpp b/src/boost/libs/math/test/table_type.hpp
new file mode 100644
index 00000000..b8f16cfd
--- /dev/null
+++ b/src/boost/libs/math/test/table_type.hpp
@@ -0,0 +1,29 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_TABLE_TYPE_HPP
+#define BOOST_MATH_TEST_TABLE_TYPE_HPP
+
+template <class T>
+struct table_type
+{
+   typedef T type;
+};
+
+namespace boost{ namespace math{ namespace concepts{
+
+   class real_concept;
+
+}}}
+
+template <>
+struct table_type<boost::math::concepts::real_concept>
+{
+   typedef long double type;
+};
+
+#endif
diff --git a/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp b/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp
new file mode 100644
index 00000000..0c1501c1
--- /dev/null
+++ b/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp
@@ -0,0 +1,989 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE tanh_sinh_quadrature_test
+
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/tanh_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6) && !defined(TEST7) && !defined(TEST8)\
+    && !defined(TEST1A) && !defined(TEST1B) && !defined(TEST2A) && !defined(TEST3A) && !defined(TEST6A) && !defined(TEST9)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#  define TEST5
+#  define TEST6
+#  define TEST7
+#  define TEST8
+#  define TEST1A
+#  define TEST1B
+#  define TEST2A
+#  define TEST3A
+#  define TEST6A
+#  define TEST9
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_dec_float_50;
+using boost::multiprecision::cpp_dec_float_100;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::sinc_pi;
+using boost::math::quadrature::tanh_sinh;
+using boost::math::quadrature::detail::tanh_sinh_detail;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_complement_indexes(const T& v)
+{
+   std::cout << "\n   {";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      unsigned index = 0;
+      while (v[i][index] >= 0)
+         ++index;
+      std::cout << index << ", ";
+   }
+   std::cout << "};\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+   std::cout << "   static const std::vector<unsigned > indexes = ";
+   print_complement_indexes(p.first);
+}
+
+template <class Real>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_index, unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t) { return tanh(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t) { Real cs = cosh(half_pi<Real>() * sinh(t));  return half_pi<Real>() * cosh(t) / (cs * cs); };
+   auto gc = [](Real t) { Real u2 = half_pi<Real>() * sinh(t);  return 1 / (exp(u2) *cosh(u2)); };
+   auto g_inv = [](float x)->float { return asinh(two_div_pi<float>()*atanh(x)); };
+   auto gc_inv = [](float x)
+   {
+      float l = log(sqrt((2 - x) / x));
+      return log((sqrt(4 * l * l + pi<float>() * pi<float>()) + 2 * l) / pi<float>());
+   };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   float t_crossover = gc_inv(0.5f);
+
+   Real h = 1;
+   for (unsigned i = 0; i < max_index; ++i)
+   {
+      temp.push_back((i < t_crossover) ? g(i * h) : -gc(i * h));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (unsigned i = 0; i < max_index; ++i)
+   {
+      temp.push_back(w(i * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < max_index - 1; t += 2 * h)
+         temp.push_back((t < t_crossover) ? g(t) : -gc(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < max_index - 1; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+template <class Real>
+const tanh_sinh<Real>& get_integrator()
+{
+   static const tanh_sinh<Real> integrator(15);
+   return integrator;
+}
+
+template <class Real>
+Real get_convergence_tolerance()
+{
+   return boost::math::tools::root_epsilon<Real>();
+}
+
+
+template<class Real>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by tanh_sinh on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real error;
+    Real L1;
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+}
+
+
+template<class Real>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by tanh_sinh on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real error;
+    Real L1;
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+
+template<class Real>
+void test_singular()
+{
+    std::cout << "Testing integration of endpoint singularities on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x) { return log(x)*log(1-x); };
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Real Q_expected = 2 - pi<Real>()*pi<Real>()*half<Real>()*third<Real>();
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+
+    auto integrator = get_integrator<Real>();
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = integrator.integrate(f1, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = integrator.integrate(f2, (Real) 0 , (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = integrator.integrate(f5, (Real) 0 , (Real) 1);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Oh it suffers on this one.
+    auto f6 = [](Real t)->Real { Real x = log(t); return x*x; };
+    Q = integrator.integrate(f6, (Real) 0 , (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 2;
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 50*tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, 50*tol);
+
+
+    // Although it doesn't get to the requested tolerance on this integral, the error bounds can be queried and are reasonable:
+    tol = sqrt(boost::math::tools::epsilon<Real>());
+    auto f7 = [](const Real& t) { return sqrt(tan(t)); };
+    Q = integrator.integrate(f7, (Real) 0 , (Real) half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f8 = [](const Real& t) { return log(cos(t)); };
+    Q = integrator.integrate(f8, (Real) 0 , half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -pi<Real>()*ln_two<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, -Q_expected, tol);
+}
+
+
+template<class Real>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+
+    auto integrator = get_integrator<Real>();
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = integrator.integrate(f1, (Real) 0 , (Real) 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = integrator.integrate(f2, (Real) 0 , (Real) 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = integrator.integrate(f3, (Real) 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = integrator.integrate(f4, (Real) 0 , (Real) 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 5:
+    auto f5 = [](const Real& t) { return sqrt(t)*log(t); };
+    Q = integrator.integrate(f5, (Real) 0 , (Real) 1);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t) { return sqrt(1 - t*t); };
+    Q = integrator.integrate(f6, (Real) 0 , (Real) 1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](const Real& t) { return exp(-t*t*half<Real>()); };
+    Q = integrator.integrate(f2, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_two_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 2);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * 2);
+
+    // This test shows how oscillatory integrals are approximated very poorly by this method:
+    //std::cout << "Testing sinc integral: \n";
+    //Q = integrator.integrate(boost::math::sinc_pi<Real>, -std::numeric_limits<Real>::infinity(), std::numeric_limits<Real>::infinity(), &error, &L1);
+    //std::cout << "Error estimate of sinc integral: " << error << std::endl;
+    //std::cout << "L1 norm of sinc integral " << L1 << std::endl;
+    //Q_expected = pi<Real>();
+    //BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/cosh(t);};
+    Q = integrator.integrate(f4, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+}
+
+template<class Real>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    // Example 12
+    auto f2 = [](const Real& t) { return exp(-t)/sqrt(t); };
+    Q = integrator.integrate(f2, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 1000*tol);
+
+    auto f3 = [](const Real& t) { return exp(-t)*cos(t); };
+    Q = integrator.integrate(f3, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = integrator.integrate(f4, 1, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), Real(0));
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+
+// A horrible function taken from
+// http://www.chebfun.org/examples/quad/GaussClenCurt.html
+template<class Real>
+void test_horrible()
+{
+    std::cout << "Testing Trefenthen's horrible integral on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // We only know the integral to double precision, so requesting a higher tolerance doesn't make sense.
+    Real tol = 10 * std::numeric_limits<float>::epsilon();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f = [](Real x)->Real { return x*sin(2*exp(2*sin(2*exp(2*x) ) ) ); };
+    Q = integrator.integrate(f, (Real) -1, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    // NIntegrate[x*Sin[2*Exp[2*Sin[2*Exp[2*x]]]], {x, -1, 1}, WorkingPrecision -> 130, MaxRecursion -> 100]
+    Q_expected = boost::lexical_cast<Real>("0.33673283478172753598559003181355241139806404130031017259552729882281");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Over again without specifying the bounds:
+    Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Some examples of tough integrals from NR, section 4.5.4:
+template<class Real>
+void test_nr_examples()
+{
+    std::cout << "Testing singular integrals from NR 4.5.4 on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](Real x)->Real
+    {
+       return (sin(x * half<Real>()) * exp(-x) / x) / sqrt(x);
+    };
+    Q = integrator.integrate(f1, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = sqrt(pi<Real>()*(sqrt((Real) 5) - 2));
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 25*tol);
+
+    auto f2 = [](Real x)->Real { return pow(x, -(Real) 2/(Real) 7)*exp(-x*x); };
+    Q = integrator.integrate(f2, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>());
+    Q_expected = half<Real>()*boost::math::tgamma((Real) 5/ (Real) 14);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 6);
+
+}
+
+// Test integrand known to fool some termination schemes:
+template<class Real>
+void test_early_termination()
+{
+    std::cout << "Testing Clenshaw & Curtis's example of integrand which fools termination schemes on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](Real x)->Real { return 23*cosh(x)/ (Real) 25 - cos(x) ; };
+    Q = integrator.integrate(f1, (Real) -1, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 46*sinh((Real) 1)/(Real) 25 - 2*sin((Real) 1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Over again with no bounds:
+    Q = integrator.integrate(f1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Test some definite integrals from the CRC handbook, 32nd edition:
+template<class Real>
+void test_crc()
+{
+    std::cout << "Testing CRC formulas on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // CRC Definite integral 585
+    auto f1 = [](Real x)->Real { Real t = log(1/x); return x*x*t*t*t; };
+    Q = integrator.integrate(f1, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = (Real) 2/ (Real) 27;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC 636:
+    auto f2 = [](Real x)->Real { return sqrt(cos(x)); };
+    Q = integrator.integrate(f2, (Real) 0, (Real) half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    //Q_expected = pow(two_pi<Real>(), 3*half<Real>())/pow(boost::math::tgamma((Real) 1/ (Real) 4), 2);
+    Q_expected = boost::lexical_cast<Real>("1.198140234735592207439922492280323878227212663215651558263674952946405214143915670835885556489793389375907225");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC Section 5.5, integral 585:
+    for (int n = 0; n < 3; ++n) {
+        for (int m = 0; m < 3; ++m) {
+            auto f = [&](Real x)->Real { return pow(x, Real(m))*pow(log(1/x), Real(n)); };
+            Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+            // Calculation of the tgamma function is not exact, giving spurious failures.
+            // Casting to cpp_bin_float_100 beforehand fixes most of them.
+            cpp_bin_float_100 np1 = n + 1;
+            cpp_bin_float_100 mp1 = m + 1;
+            Q_expected = boost::lexical_cast<Real>((tgamma(np1)/pow(mp1, np1)).str());
+            BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+        }
+    }
+
+    // CRC Section 5.5, integral 591
+    // The parameter p allows us to control the strength of the singularity.
+    // Rapid convergence is not guaranteed for this function, as the branch cut makes it non-analytic on a disk.
+    // This converges only when our test type has an extended exponent range as all the area of the integral
+    // occurs so close to 0 (or 1) that we need abscissa values exceptionally small to find it.
+    // "There's a lot of room at the bottom".
+    // We also use a 2 argument functor so that 1-x is evaluated accurately:
+    if (std::numeric_limits<Real>::max_exponent > std::numeric_limits<double>::max_exponent)
+    {
+       for (Real p = Real (-0.99); p < 1; p += Real(0.1)) {
+          auto f = [&](Real x, Real cx)->Real
+          {
+             //return pow(x, p) / pow(1 - x, p);
+             return cx < 0 ? exp(p * (log(x) - boost::math::log1p(-x))) : pow(x, p) / pow(cx, p);
+          };
+          Q = integrator.integrate(f, (Real)0, (Real)1, get_convergence_tolerance<Real>(), &error, &L1);
+          Q_expected = 1 / sinc_pi(p*pi<Real>());
+          BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+       }
+    }
+    // There is an alternative way to evaluate the above integral: by noticing that all the area of the integral
+    // is near zero for p < 0 and near 1 for p > 0 we can substitute exp(-x) for x and remap the integral to the
+    // domain (0, INF).  Internally we need to expand out the terms and evaluate using logs to avoid spurous overflow, 
+    // this gives us
+    // for p > 0:
+    for (Real p = Real(0.99); p > 0; p -= Real(0.1)) {
+       auto f = [&](Real x)->Real
+       {
+          return exp(-x * (1 - p) + p * log(-boost::math::expm1(-x)));
+       };
+       Q = integrator.integrate(f, 0, boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    }
+    // and for p < 1:
+    for (Real p = Real (-0.99); p < 0; p += Real(0.1)) {
+       auto f = [&](Real x)->Real
+       {
+          return exp(-p * log(-boost::math::expm1(-x)) - (1 + p) * x);
+       };
+       Q = integrator.integrate(f, 0, boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    }
+
+    // CRC Section 5.5, integral 635
+    for (int m = 0; m < 10; ++m) {
+        auto f = [&](Real x)->Real { return 1/(1 + pow(tan(x), m)); };
+        Q = integrator.integrate(f, (Real) 0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+        Q_expected = half_pi<Real>()/2;
+        BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+
+    // CRC Section 5.5, integral 637:
+    //
+    // When h gets very close to 1, the strength of the singularity gradually increases until we
+    // no longer have enough exponent range to evaluate the integral....
+    // We also have to use the 2-argument functor version of the integrator to avoid
+    // cancellation error, since the singularity is near PI/2.
+    //
+    Real limit = std::numeric_limits<Real>::max_exponent > std::numeric_limits<double>::max_exponent
+       ? .95f : .85f;
+    for (Real h = Real(0.01); h < limit; h += Real(0.1)) {
+        auto f = [&](Real x, Real xc)->Real { return xc > 0 ? pow(1/tan(xc), h) : pow(tan(x), h); };
+        Q = integrator.integrate(f, (Real) 0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+        Q_expected = half_pi<Real>()/cos(h*half_pi<Real>());
+        BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+    // CRC Section 5.5, integral 637:
+    //
+    // Over again, but with argument transformation, we want:
+    //
+    // Integral of tan(x)^h over (0, PI/2)
+    //
+    // Note that the bulk of the area is next to the singularity at PI/2,
+    // so we'll start by replacing x by PI/2 - x, and that tan(PI/2 - x) == 1/tan(x)
+    // so we now have:
+    //
+    // Integral of 1/tan(x)^h over (0, PI/2)
+    //
+    // Which is almost the ideal form, except that when h is very close to 1
+    // we run out of exponent range in evaluating the integral arbitrarily close to 0.
+    // So now we substitute exp(-x) for x: this stretches out the range of the
+    // integral to (-log(PI/2), +INF) with the singularity at +INF giving:
+    //
+    // Integral of exp(-x)/tan(exp(-x))^h over (-log(PI/2), +INF)
+    //
+    // We just need a way to evaluate the function without spurious under/overflow
+    // in the exp terms.  Note that for small x: tan(x) ~= x, so making this
+    // substitution and evaluating by logs we have:
+    //
+    // exp(-x)/tan(exp(-x))^h ~= exp((h - 1) * x)  for x > -log(epsion);
+    //
+    // Here's how that looks in code:
+    //
+    for (Real i = 80; i < 100; ++i) {
+       Real h = i / 100;
+       auto f = [&](Real x)->Real 
+       { 
+          if (x > -log(boost::math::tools::epsilon<Real>()))
+             return exp((h - 1) * x);
+          else
+          {
+             Real et = exp(-x);
+             // Need to deal with numeric instability causing et to be greater than PI/2:
+             return et >= boost::math::constants::half_pi<Real>() ? 0 : et * pow(1 / tan(et), h);
+          }
+       };
+       Q = integrator.integrate(f, -log(half_pi<Real>()), boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = half_pi<Real>() / cos(h*half_pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 5 * tol);
+    }
+
+    // CRC Section 5.5, integral 670:
+
+    auto f3 = [](Real x)->Real { return sqrt(log(1/x)); };
+    Q = integrator.integrate(f3, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>()/2;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+}
+
+template <class Real>
+void test_sf()
+{
+   using std::sqrt;
+   // Test some special functions that we already know how to evaluate:
+   std::cout << "Testing special functions on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+   Real tol = 10 * boost::math::tools::epsilon<Real>();
+   auto integrator = get_integrator<Real>();
+
+   // incomplete beta:
+   if (std::numeric_limits<Real>::digits10 < 37) // Otherwise too slow
+   {
+      Real a(100), b(15);
+      auto f = [&](Real x)->Real { return boost::math::ibeta_derivative(a, b, x); };
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, Real(0.25)), boost::math::ibeta(100, 15, Real(0.25)), tol * 10);
+      // Check some really extreme versions:
+      a = 1000;
+      b = 500;
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, 1), Real(1), tol * 15);
+      //
+      // This is as extreme as we can get in this domain: otherwise the function has all it's 
+      // area so close to zero we never get in there no matter how many levels we go down:
+      //
+      a = Real(1) / 15;
+      b = 30;
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, 1), Real(1), tol * 25);
+   }
+
+   Real x = 2, y = 3, z = 0.5, p = 0.25;
+   // Elliptic integral RC:
+   Real Q = integrator.integrate([&](const Real& t)->Real { return 1 / (sqrt(t + x) * (t + y)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::ellint_rc(x, y), tol);
+   // Elliptic Integral RJ:
+   BOOST_CHECK_CLOSE_FRACTION(Real((Real(3) / 2) * integrator.integrate([&](Real t)->Real { return 1 / (sqrt((t + x) * (t + y) * (t + z)) * (t + p)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>())), boost::math::ellint_rj(x, y, z, p), tol);
+
+   z = 5.5;
+   if (std::numeric_limits<Real>::digits10 > 40)
+      tol *= 200;
+   else if (!std::numeric_limits<Real>::is_specialized)
+      tol *= 3;
+   // tgamma expressed as an integral:
+   BOOST_CHECK_CLOSE_FRACTION(integrator.integrate([&](Real t)->Real { using std::pow; using std::exp; return t > 10000 ? Real(0) : Real(pow(t, z - 1) * exp(-t)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()),
+      boost::math::tgamma(z), tol);
+   BOOST_CHECK_CLOSE_FRACTION(integrator.integrate([](const Real& t)->Real {  using std::exp; return exp(-t*t); }, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()),
+      boost::math::constants::root_pi<Real>(), tol);
+}
+
+template <class Real>
+void test_2_arg()
+{
+   BOOST_MATH_STD_USING
+   std::cout << "Testing 2 argument functors on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+   Real tol = 10 * boost::math::tools::epsilon<Real>();
+
+   auto integrator = get_integrator<Real>();
+
+   //
+   // There are a whole family of integrals of the general form
+   // x(1-x)^-N ; N < 1
+   // which have all the interesting behaviour near the 2 singularities
+   // and all converge, see: http://www.wolframalpha.com/input/?i=integrate+(x+*+(1-x))%5E-1%2FN+from+0+to+1
+   //
+   Real Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return tc < 0 ? 1 / sqrt(t * (1-t)) : 1 / sqrt(t * tc);
+   }, 0, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return tc < 0 ? 1 / boost::math::cbrt(t * (1-t)) : 1 / boost::math::cbrt(t * tc);
+   }, 0, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::pow<2>(boost::math::tgamma(Real(2) / 3)) / boost::math::tgamma(Real(4) / 3), tol * 3);
+   //
+   // We can do the same thing with ((1+x)(1-x))^-N ; N < 1
+   //
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / sqrt(-tc * (1-t)) : 1 / sqrt((t + 1) * tc);
+   }, -1, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / sqrt(-tc * (1-t)) : 1 / sqrt((t + 1) * tc);
+   });
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / boost::math::cbrt(-tc * (1-t)) : 1 / boost::math::cbrt((t + 1) * tc);
+   }, -1, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, sqrt(boost::math::constants::pi<Real>()) * boost::math::tgamma(Real(2) / 3) / boost::math::tgamma(Real(7) / 6), tol * 10);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / boost::math::cbrt(-tc * (1-t)) : 1 / boost::math::cbrt((t + 1) * tc);
+   });
+   BOOST_CHECK_CLOSE_FRACTION(Q, sqrt(boost::math::constants::pi<Real>()) * boost::math::tgamma(Real(2) / 3) / boost::math::tgamma(Real(7) / 6), tol * 10);
+   //
+   // These are taken from above, and do not get to full precision via the single arg functor:
+   //
+   auto f7 = [](const Real& t, const Real& tc) { return t < 1 ? sqrt(tan(t)) : sqrt(1/tan(tc)); };
+   Real error, L1;
+   Q = integrator.integrate(f7, (Real)0, (Real)half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+   Real Q_expected = pi<Real>() / root_two<Real>();
+   BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+   BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+   auto f8 = [](const Real& t, const Real& tc) { return t < 1 ? log(cos(t)) : log(sin(tc)); };
+   Q = integrator.integrate(f8, (Real)0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+   Q_expected = -pi<Real>()*ln_two<Real>()*half<Real>();
+   BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+   BOOST_CHECK_CLOSE_FRACTION(L1, -Q_expected, tol);
+}
+
+template <class Complex>
+void test_complex()
+{
+   typedef typename Complex::value_type value_type;
+   //
+   // Integral version of the confluent hypergeometric function:
+   // https://dlmf.nist.gov/13.4#E1
+   //
+   value_type tol = 10 * boost::math::tools::epsilon<value_type>();
+   Complex a(2, 3), b(3, 4), z(0.5, -2);
+
+   auto f = [&](value_type t)
+   {
+      return exp(z * t) * pow(t, a - value_type(1)) * pow(value_type(1) - t, b - a - value_type(1));
+   };
+
+   auto integrator = get_integrator<value_type>();
+   auto Q = integrator.integrate(f, value_type(0), value_type(1), get_convergence_tolerance<value_type>());
+   //
+   // Expected result computed from http://www.wolframalpha.com/input/?i=1F1%5B(2%2B3i),+(3%2B4i);+(0.5-2i)%5D+*+gamma(2%2B3i)+*+gamma(1%2Bi)+%2F+gamma(3%2B4i)
+   //
+   Complex expected(boost::lexical_cast<value_type>("-0.2911081612888249710582867318081776512805281815037891183828405999609246645054069649838607112484426042883371996"),
+      boost::lexical_cast<value_type>("0.4507983563969959578849120188097153649211346293694903758252662015991543519595834937475296809912196906074655385"));
+
+   value_type error = abs(expected - Q);
+   BOOST_CHECK_LE(error, tol);
+
+   //
+   // Sin Integral https://dlmf.nist.gov/6.2#E9
+   //
+   auto f2 = [z](value_type t)
+   {
+      return -exp(-z * cos(t)) * cos(z * sin(t));
+   };
+   Q = integrator.integrate(f2, value_type(0), boost::math::constants::half_pi<value_type>(), get_convergence_tolerance<value_type>());
+
+   expected = Complex(boost::lexical_cast<value_type>("0.8893822921008980697856313681734926564752476188106405688951257340480164694708337246829840859633322683740376134733"),
+      -boost::lexical_cast<value_type>("2.381380802906111364088958767973164614925936185337231718483495612539455538280372745733208000514737758457795502168"));
+   expected -= boost::math::constants::half_pi<value_type>();
+
+   error = abs(expected - Q);
+   BOOST_CHECK_LE(error, tol);
+}
+
+
+BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test)
+{
+#ifdef GENERATE_CONSTANTS
+   //
+   // Generate pre-computed coefficients:
+   std::cout << std::setprecision(35);
+   print_levels(generate_constants<cpp_bin_float_100>(10, 8), "L");
+
+#else
+
+#ifdef TEST1
+
+    test_right_limit_infinite<float>();
+    test_left_limit_infinite<float>();
+    test_linear<float>();
+    test_quadratic<float>();
+    test_singular<float>();
+    test_ca<float>();
+    test_three_quadrature_schemes_examples<float>();
+    test_horrible<float>();
+    test_integration_over_real_line<float>();
+    test_nr_examples<float>();
+#endif
+#ifdef TEST1A
+    test_early_termination<float>();
+    test_2_arg<float>();
+#endif
+#ifdef TEST1B
+    test_crc<float>();
+#endif
+#ifdef TEST2
+    test_right_limit_infinite<double>();
+    test_left_limit_infinite<double>();
+    test_linear<double>();
+    test_quadratic<double>();
+    test_singular<double>();
+    test_ca<double>();
+    test_three_quadrature_schemes_examples<double>();
+    test_horrible<double>();
+    test_integration_over_real_line<double>();
+    test_nr_examples<double>();
+    test_early_termination<double>();
+    test_sf<double>();
+    test_2_arg<double>();
+#endif
+#ifdef TEST2A
+    test_crc<double>();
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#ifdef TEST3
+    test_right_limit_infinite<long double>();
+    test_left_limit_infinite<long double>();
+    test_linear<long double>();
+    test_quadratic<long double>();
+    test_singular<long double>();
+    test_ca<long double>();
+    test_three_quadrature_schemes_examples<long double>();
+    test_horrible<long double>();
+    test_integration_over_real_line<long double>();
+    test_nr_examples<long double>();
+    test_early_termination<long double>();
+    test_sf<long double>();
+    test_2_arg<long double>();
+#endif
+#ifdef TEST3A
+    test_crc<long double>();
+
+#endif
+#endif
+
+#ifdef TEST4
+    test_right_limit_infinite<cpp_bin_float_quad>();
+    test_left_limit_infinite<cpp_bin_float_quad>();
+    test_linear<cpp_bin_float_quad>();
+    test_quadratic<cpp_bin_float_quad>();
+    test_singular<cpp_bin_float_quad>();
+    test_ca<cpp_bin_float_quad>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad>();
+    test_horrible<cpp_bin_float_quad>();
+    test_nr_examples<cpp_bin_float_quad>();
+    test_early_termination<cpp_bin_float_quad>();
+    test_crc<cpp_bin_float_quad>();
+    test_sf<cpp_bin_float_quad>();
+    test_2_arg<cpp_bin_float_quad>();
+
+#endif
+#ifdef TEST5
+
+    test_sf<cpp_bin_float_50>();
+    test_sf<cpp_bin_float_100>();
+    test_sf<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<150> > >();
+
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST6
+
+    test_right_limit_infinite<boost::math::concepts::real_concept>();
+    test_left_limit_infinite<boost::math::concepts::real_concept>();
+    test_linear<boost::math::concepts::real_concept>();
+    test_quadratic<boost::math::concepts::real_concept>();
+    test_singular<boost::math::concepts::real_concept>();
+    test_ca<boost::math::concepts::real_concept>();
+    test_three_quadrature_schemes_examples<boost::math::concepts::real_concept>();
+    test_horrible<boost::math::concepts::real_concept>();
+    test_integration_over_real_line<boost::math::concepts::real_concept>();
+    test_nr_examples<boost::math::concepts::real_concept>();
+    test_early_termination<boost::math::concepts::real_concept>();
+    test_sf<boost::math::concepts::real_concept>();
+    test_2_arg<boost::math::concepts::real_concept>();
+#endif
+#ifdef TEST6A
+    test_crc<boost::math::concepts::real_concept>();
+
+#endif
+#endif
+#ifdef TEST7
+    test_sf<cpp_dec_float_50>();
+#endif
+#if defined(TEST8) && defined(BOOST_HAS_FLOAT128)
+
+    test_right_limit_infinite<boost::multiprecision::float128>();
+    test_left_limit_infinite<boost::multiprecision::float128>();
+    test_linear<boost::multiprecision::float128>();
+    test_quadratic<boost::multiprecision::float128>();
+    test_singular<boost::multiprecision::float128>();
+    test_ca<boost::multiprecision::float128>();
+    test_three_quadrature_schemes_examples<boost::multiprecision::float128>();
+    test_horrible<boost::multiprecision::float128>();
+    test_integration_over_real_line<boost::multiprecision::float128>();
+    test_nr_examples<boost::multiprecision::float128>();
+    test_early_termination<boost::multiprecision::float128>();
+    test_crc<boost::multiprecision::float128>();
+    test_sf<boost::multiprecision::float128>();
+    test_2_arg<boost::multiprecision::float128>();
+
+#endif
+#ifdef TEST9
+    test_complex<std::complex<double> >();
+    test_complex<std::complex<float> >();
+#endif
+
+
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_0F1.cpp b/src/boost/libs/math/test/test_0F1.cpp
new file mode 100644
index 00000000..10237673
--- /dev/null
+++ b/src/boost/libs/math/test/test_0F1.cpp
@@ -0,0 +1,93 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_0F1.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+#else
+   largest_type = "(long\\s+)?double|cpp_bin_float_quad|dec_40";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer.*",                   // test data group
+      ".*", 300, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Real.*",                   // test data group
+      ".*", 2000, 1000);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                   // test data group
+      ".*", 400, 100);               // test function
+
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#endif
+
+#if !defined(TEST) || (TEST == 2)
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 4)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_0F1.hpp b/src/boost/libs/math/test/test_0F1.hpp
new file mode 100644
index 00000000..24774e03
--- /dev/null
+++ b/src/boost/libs/math/test/test_0F1.hpp
@@ -0,0 +1,219 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_0F1.hpp>
+
+template <class Real, class T>
+void do_test_0F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_0F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_0F1 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_0F1", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* type_name)
+{
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(3), T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(-3), T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(0), T(0)), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(0), T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(-1), T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(-10), T(-5)), std::domain_error);
+
+   static const boost::array<boost::array<T, 3>, 50> hypergeometric_0F1_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      { SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      { SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      { SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      { SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      { SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      { SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      { SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      { SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      { SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      { SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      { SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      { SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      { SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      { SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      { SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   static const boost::array<boost::array<T, 3>, 121> hypergeometric_0F1_real_data = { {
+      { SC_(-20.25), SC_(-20.25), SC_(2.7957722939837585922721916572828265337379885810463) },
+      {SC_(-20.25), SC_(-16.25), SC_(2.2711152061687223613453898226719770018304527545367) },
+      {SC_(-20.25), SC_(-12.25), SC_(1.8494593608212709260834907188011226625504792564008) },
+      {SC_(-20.25), SC_(-8.25), SC_(1.5096123122209879279439571483106546579344083224475) },
+      {SC_(-20.25), SC_(-4.25), SC_(1.2349600261245108147217156468676391406107607937783) },
+      {SC_(-20.25), SC_(-0.25), SC_(1.0124262131477737489760461958823145562583738548481) },
+      {SC_(-20.25), SC_(3.75), SC_(0.83168105368847042690250207452503923498261925399290) },
+      {SC_(-20.25), SC_(7.75), SC_(0.68453616446705348287989858944821561345027038288523) },
+      {SC_(-20.25), SC_(11.75), SC_(0.56447959084730590158981806575147730464939958811641) },
+      {SC_(-20.25), SC_(15.75), SC_(0.46631672324832840040099031042536652056451149930724) },
+      {SC_(-20.25), SC_(19.75), SC_(0.38589178960453729031753371638509489720353970202557) },
+      {SC_(-16.25), SC_(-20.25), SC_(3.6853033678389815793858749638872118256381350051933) },
+      {SC_(-16.25), SC_(-16.25), SC_(2.8189932976213221794412912826715210157252407675492) },
+      {SC_(-16.25), SC_(-12.25), SC_(2.1683206814848382415951069178541485022190389032861) },
+      {SC_(-16.25), SC_(-8.25), SC_(1.6762781419304165453124288212144469387497248544980) },
+      {SC_(-16.25), SC_(-4.25), SC_(1.3019174596541545423250019596925072929338360502457) },
+      {SC_(-16.25), SC_(-0.25), SC_(1.0155114597289924802082858072926838795825629097345) }, 
+      {SC_(-16.25), SC_(3.75), SC_(0.79528104007050457443200675888120572482230255556703) },
+      {SC_(-16.25), SC_(7.75), SC_(0.62514113457518737301424222399549180276283312092061) },
+      {SC_(-16.25), SC_(11.75), SC_(0.49312611939645449055396232495817215814052621005108) },
+      {SC_(-16.25), SC_(15.75), SC_(0.39027640231656357551572959324213784623094177949066) },
+      {SC_(-16.25), SC_(19.75), SC_(0.30983458381312295039033218076191326310645958859520) },
+      {SC_(-12.25), SC_(-20.25), SC_(6.1704666666278938283835490432795642056267750516111) },
+      {SC_(-12.25), SC_(-16.25), SC_(4.1552272888330207621302106989548328150305062793812) },
+      {SC_(-12.25), SC_(-12.25), SC_(2.8629405204600569631773103187639297768454467434670) },
+      {SC_(-12.25), SC_(-8.25), SC_(2.0050800521989931571210090020740770238121125995302) },
+      {SC_(-12.25), SC_(-4.25), SC_(1.4226882175494078094616273681832235056660520864074) },
+      {SC_(-12.25), SC_(-0.25), SC_(1.0206367767231596623643982724086720984175407326239) },
+      {SC_(-12.25), SC_(3.75), SC_(0.73925379130945509368577275378254380866098045869975) },
+      {SC_(-12.25), SC_(7.75), SC_(0.54000881441780813642748748511053584681016992673867) },
+      {SC_(-12.25), SC_(11.75), SC_(0.39734252271724847449760568202775839997979417321096) },
+      {SC_(-12.25), SC_(15.75), SC_(0.28584659061590258036270241201657559564217479119707) },
+      {SC_(-12.25), SC_(19.75), SC_(-0.0081173945118881955152340569022581720505805271716412) },
+      {SC_(-8.25), SC_(-20.25), SC_(30.214776746264667028399437825207186990952563144565) },
+      {SC_(-8.25), SC_(-16.25), SC_(13.206923736113233408873312298765667487728366521206) },
+      {SC_(-8.25), SC_(-12.25), SC_(5.8765290507182112008139505719133766922110698377617) },
+      {SC_(-8.25), SC_(-8.25), SC_(2.9943833929883303847073818502561706078874721587174) },
+      {SC_(-8.25), SC_(-4.25), SC_(1.7091345745360580812285240901667243909385176010261) },
+      {SC_(-8.25), SC_(-0.25), SC_(1.0308325464760906146441689208198464885112314788329) },
+      {SC_(-8.25), SC_(3.75), SC_(0.64304308306518963175886701666419407366549702609687) },
+      {SC_(-8.25), SC_(7.75), SC_(0.37629752350234203158515342524983705294147434733076) },
+      {SC_(-8.25), SC_(11.75), SC_(-2.1055871696987101269944140698868945037062228729050) },
+      {SC_(-8.25), SC_(15.75), SC_(-50.562697627448074052585932806347970082382096647974) },
+      {SC_(-8.25), SC_(19.75), SC_(-579.94915881084897988862450916571551198001894291852) },
+      { SC_(-4.25), SC_(-20.25), SC_(-66.582207191755226871227185886830083823068161088090) }, {SC_(-4.25), SC_(-16.25), SC_(0.99585574579280575697804972744074637223473969232632)}, {SC_(-4.25), SC_(-12.25), SC_(23.510774658631484713205463401664873191546111331469)}, {SC_(-4.25), SC_(-8.25), SC_(14.506347207276003438062329264569459812455033677057)}, {SC_(-4.25), SC_(-4.25), SC_(3.8047736693317086794526961473100619698786965398531)}, {SC_(-4.25), SC_(-0.25), SC_(1.0611747490912035255122776417926285437513018011867)}, {SC_(-4.25), SC_(3.75), SC_(-0.80390254520675152395475412235031817082929562419835)}, {SC_(-4.25), SC_(7.75), SC_(-100.43339815718209139439327680390551018715836820761)}, {SC_(-4.25), SC_(11.75), SC_(-1533.8025906900325906352282963205257001995564543560)}, {SC_(-4.25), SC_(15.75), SC_(-11903.890928701912286627232258091180714843387637568)}, {SC_(-4.25), SC_(19.75), SC_(-63573.720858843295034857393096900086420282088096223)},
+      {SC_(-0.25), SC_(-20.25), SC_(5.8154983455887482996117997327072965277711303658190)}, {SC_(-0.25), SC_(-16.25), SC_(7.8645427110771775078914759561882836266181443022557)}, {SC_(-0.25), SC_(-12.25), SC_(2.8859855860040835605817890532890777322459344278127)}, {SC_(-0.25), SC_(-8.25), SC_(-4.4978057721216329075474975538674330456610136767402)}, {SC_(-0.25), SC_(-4.25), SC_(-3.2843951886889091457664917868727091433634846305430)}, {SC_(-0.25), SC_(-0.25), SC_(1.8410918501257885334774939532672407660260932497146)}, {SC_(-0.25), SC_(3.75), SC_(-89.507839434346979238664123270851349643390027303630)}, {SC_(-0.25), SC_(7.75), SC_(-684.94531486572802102565352112548840783460445744423)}, {SC_(-0.25), SC_(11.75), SC_(-2980.9405282185801785979381426998934753615183894674)}, {SC_(-0.25), SC_(15.75), SC_(-9963.0984480949236929126495173451788015488533057312)}, {SC_(-0.25), SC_(19.75), SC_(-28354.285610765325603366060327671144508742992535586)},
+      {SC_(3.75), SC_(-20.25), SC_(-0.0076845585942792341317694895749400053976192347461355)}, {SC_(3.75), SC_(-16.25), SC_(-0.026676473833363805218474733943073126852098252692238)}, {SC_(3.75), SC_(-12.25), SC_(-0.033150612620140155332437908902071743835476014605824)}, {SC_(3.75), SC_(-8.25), SC_(0.024862128358835876745073743789586165594233386818764)}, {SC_(3.75), SC_(-4.25), SC_(0.26643741037095553396026886662906805496932883791011)}, {SC_(3.75), SC_(-0.25), SC_(0.93506252732788015337201598317744583689077922422313)}, {SC_(3.75), SC_(3.75), SC_(2.4937080902782278272865074460355462658482459750891)}, {SC_(3.75), SC_(7.75), SC_(5.7782165977734310384947791703219081203794593104898)}, {SC_(3.75), SC_(11.75), SC_(12.239149970819448162027824359733914867194838641207)}, {SC_(3.75), SC_(15.75), SC_(24.315766317657856526802495882902104213004243807834)}, {SC_(3.75), SC_(19.75), SC_(46.004706133409223855903017790328079349160741103989)},
+      {SC_(7.75), SC_(-20.25), SC_(0.037235565108204273745081008045192031428127589963378)}, {SC_(7.75), SC_(-16.25), SC_(0.084729597975458928169783385558211341184710436894527)}, {SC_(7.75), SC_(-12.25), SC_(0.17080635394402470513520780978929502652414093665998)}, {SC_(7.75), SC_(-8.25), SC_(0.31950343789501896907243089625679164966361926427901)}, {SC_(7.75), SC_(-4.25), SC_(0.56722331717592488544254097481360697514802761113579)}, {SC_(7.75), SC_(-0.25), SC_(0.96819884906571311048909491350402784950555589172778)}, {SC_(7.75), SC_(3.75), SC_(1.6020878195055145404559679357988911544832570195929)}, {SC_(7.75), SC_(7.75), SC_(2.5844402449306647890994627013439918401353618660618)}, {SC_(7.75), SC_(11.75), SC_(4.0810182332680718846036289812422612468750062913766)}, {SC_(7.75), SC_(15.75), SC_(6.3272529834696435764802870864047851742114357592781)}, {SC_(7.75), SC_(19.75), SC_(9.6545155398613375064364794042284225393502577025757)},
+      {SC_(11.75), SC_(-20.25), SC_(0.15486394311085924113988037667235580632108514049961)}, {SC_(11.75), SC_(-16.25), SC_(0.22985383829087750746997781544418442650948306731355)}, {SC_(11.75), SC_(-12.25), SC_(0.33615798547981440387258985310070073263439571574352)}, {SC_(11.75), SC_(-8.25), SC_(0.48533791924865732402484841770387435054807176843922)}, {SC_(11.75), SC_(-4.25), SC_(0.69279476096089396016927378719976382816612949045723)}, {SC_(11.75), SC_(-0.25), SC_(0.97893073946457038719047235276954159274687951133239)}, {SC_(11.75), SC_(3.75), SC_(1.3706338991326610410785896448412400026741719976537)}, {SC_(11.75), SC_(7.75), SC_(1.9031693475249062854591923959807180024296317864633)}, {SC_(11.75), SC_(11.75), SC_(2.6225804467534900775963810848242641845248345641566)}, {SC_(11.75), SC_(15.75), SC_(3.5887279276489256865660553406508246843289687389280)}, {SC_(11.75), SC_(19.75), SC_(4.8791249650630001302695046693426702384634788655376)},
+      {SC_(15.75), SC_(-20.25), SC_(0.26169993773941504714021934731773052404003435302548)}, {SC_(15.75), SC_(-16.25), SC_(0.34428767856756521281521994646213632566799672170823)}, {SC_(15.75), SC_(-12.25), SC_(0.45068705303931291468643647219845752956581924151602)}, {SC_(15.75), SC_(-8.25), SC_(0.58722904807165396939912732843015800226017006383889)}, {SC_(15.75), SC_(-4.25), SC_(0.76180845119510741657129800934863890343557924548267)}, {SC_(15.75), SC_(-0.25), SC_(0.98424488519002985986673227194811800795924545598747)}, {SC_(15.75), SC_(3.75), SC_(1.2667221438640806060367418270328561473306297946124)}, {SC_(15.75), SC_(7.75), SC_(1.6243218504073229104605986746109545497016155557456)}, {SC_(15.75), SC_(11.75), SC_(2.0756705639798239579947551789739745396066053149652)}, {SC_(15.75), SC_(15.75), SC_(2.6437231357748258767712950042187028922110335308912)}, {SC_(15.75), SC_(19.75), SC_(3.3567094629489291868172072628630988653584236011026)},
+      {SC_(19.75), SC_(-20.25), SC_(0.34910186209886263988734004369646266800659689838760)}, {SC_(19.75), SC_(-16.25), SC_(0.43171851514846723176830271990344447636246814031258)}, {SC_(19.75), SC_(-12.25), SC_(0.53264760691226214051563276361223610040193575209722)}, {SC_(19.75), SC_(-8.25), SC_(0.65570932018638949205413006445398352201545799769694)}, {SC_(19.75), SC_(-4.25), SC_(0.80547695536244789152425915957330496255335464733020)}, {SC_(19.75), SC_(-0.25), SC_(0.98741773517508964436868231216434995093107999788450)}, {SC_(19.75), SC_(3.75), SC_(1.2080586524527299846909832323308446155063281314444)}, {SC_(19.75), SC_(7.75), SC_(1.4751816095060559707610879513647971547078203326785)}, {SC_(19.75), SC_(11.75), SC_(1.7980527870029919079278807774802021351478928537606)}, {SC_(19.75), SC_(15.75), SC_(2.1876919765295108137252526717389200156554872202073)}, {SC_(19.75), SC_(19.75), SC_(2.6571885305131654484163938203293169727636168525176)}
+      } };
+
+   static const boost::array<boost::array<T, 3>, 49> hypergeometric_0F1_large_data = { {
+      {SC_(-3000.25), SC_(-3000.25), SC_(2.7187352281773126038196142076996225709478475910049)}, 
+      {SC_(-3000.25), SC_(-2000.25), SC_(1.9479325178881941977364868969702984561194629278005)}, 
+      {SC_(-3000.25), SC_(-1000.25), SC_(1.3957158200680510708579318399559946925035296441969)}, 
+      {SC_(-3000.25), SC_(-0.25), SC_(1.0000833298623651641409421309527751141654844918029)}, 
+      {SC_(-3000.25), SC_(999.75), SC_(0.71662418615385142079900540026845986168175943851435)}, 
+      {SC_(-3000.25), SC_(1999.75), SC_(0.51352644595687380807192108174566627121840655509659)}, 
+      {SC_(-3000.25), SC_(2999.75), SC_(0.36800205062066223494767361354167341477112311421338)},
+      {SC_(-2000.25), SC_(-3000.25), SC_(4.4839337747691491664160512023395421809359987226033)}, 
+      {SC_(-2000.25), SC_(-2000.25), SC_(2.7189621930215506574513067999560632490479415009312)}, 
+      {SC_(-2000.25), SC_(-1000.25), SC_(1.6489274597179783576990334595113842446837612984637)}, 
+      {SC_(-2000.25), SC_(-0.25), SC_(1.0001249921917327582862611787131655498347374570534)}, 
+      {SC_(-2000.25), SC_(999.75), SC_(0.60668227026545158239160396829655637629150925375338)}, 
+      {SC_(-2000.25), SC_(1999.75), SC_(0.36806334257221693918034782383378883527025156371561)}, 
+      {SC_(-2000.25), SC_(2999.75), SC_(0.22332534501129284494390126255673652609551748168190)},
+      {SC_(-1000.25), SC_(-3000.25), SC_(20.166446124477887217071731764646075153043381039788)}, 
+      {SC_(-1000.25), SC_(-2000.25), SC_(7.4020458503369278169047297486603438977667911685454)}, 
+      {SC_(-1000.25), SC_(-1000.25), SC_(2.7196441509079794494949614854599837302121989306579)}, 
+      {SC_(-1000.25), SC_(-0.25), SC_(1.0002499687838699774154682651484339556685615759685)}, 
+      {SC_(-1000.25), SC_(999.75), SC_(0.36824716733727347121444226394598870471042459648225)}, 
+      {SC_(-1000.25), SC_(1999.75), SC_(0.13570722006231629831063556421918175042108431159794)}, 
+      {SC_(-1000.25), SC_(2999.75), SC_(0.050060760590698310218753944980019339485378387824874)},
+      {SC_(-0.25), SC_(-3000.25), SC_(39.685967392358901409909771219162599134220400862017)}, 
+      {SC_(-0.25), SC_(-2000.25), SC_(42.589937906362216198404510603403791771675699582116)}, 
+      {SC_(-0.25), SC_(-1000.25), SC_(1.4484609059158563254575589143006796017980497019204)}, 
+      {SC_(-0.25), SC_(-0.25), SC_(1.8410918501257885334774939532672407660260932497146)},
+      {SC_(-0.25), SC_(999.75), SC_(-5.3078213765443269585708737506907854937173735893125e28) }, 
+      {SC_(-0.25), SC_(1999.75), SC_(-1.6498771472158460728992067699031965281087177690027e40) }, 
+      {SC_(-0.25), SC_(2999.75), SC_(-1.0342523123207467753461742345710027886431938539942e49) },
+      {SC_(999.75), SC_(-3000.25), SC_(0.049513102314849089089531272645546209356947364503693)}, {SC_(999.75), SC_(-2000.25), SC_(0.13496287555692361766808821455578584612232691847368)}, {SC_(999.75), SC_(-1000.25), SC_(0.36751140843960205420082946295266027163679747815171)}, {SC_(999.75), SC_(-0.25), SC_(0.99974996871616159816731662896550362438335384158579)}, {SC_(999.75), SC_(999.75), SC_(2.7169258487486599795213704968075693651612629011137)}, {SC_(999.75), SC_(1999.75), SC_(7.3761834991423536961023917193398034973414374920724)}, {SC_(999.75), SC_(2999.75), SC_(20.005752597249211333476751024563565243417014841294)},
+      {SC_(1999.75), SC_(-3000.25), SC_(0.22293486720691878909733143630236248153349047769471)}, {SC_(1999.75), SC_(-2000.25), SC_(0.36769546312912945115503617374640562125026416585911)}, {SC_(1999.75), SC_(-1000.25), SC_(0.60637900493362087991135014744274427763909334895653)}, {SC_(1999.75), SC_(-0.25), SC_(0.99987499218326921518475889542511447173965188103381)}, {SC_(1999.75), SC_(999.75), SC_(1.6485152791856256326123376967789594359576461105786)}, {SC_(1999.75), SC_(1999.75), SC_(2.7176030495659989803962821602572269144434394541710)}, {SC_(1999.75), SC_(2999.75), SC_(4.4794520688544123057192034298995619570726142156707)},
+      {SC_(2999.75), SC_(-3000.25), SC_(0.36775679765931355729803647936785321939707796855752)}, {SC_(2999.75), SC_(-2000.25), SC_(0.51330776829498225175667208437735196999610552588713)}, {SC_(2999.75), SC_(-1000.25), SC_(0.71643841877594009499597675075273584291266593195763)}, {SC_(2999.75), SC_(-0.25), SC_(0.99991666319319078123594326189204686183292938405581)}, {SC_(2999.75), SC_(999.75), SC_(1.3955090626492889292016427682906884819283986108381)}, {SC_(2999.75), SC_(1999.75), SC_(1.9475357570910758403975860806320078849962664462281)}, {SC_(2999.75), SC_(2999.75), SC_(2.7178291334815105222784044221313459883434486746788)},
+   } };
+
+   do_test_0F1<T>(hypergeometric_0F1_integer_data, type_name, "Integer Arguments");
+   do_test_0F1<T>(hypergeometric_0F1_real_data, type_name, "Real Arguments");
+   do_test_0F1<T>(hypergeometric_0F1_large_data, type_name, "Large Arguments");
+}
+
diff --git a/src/boost/libs/math/test/test_1F0.cpp b/src/boost/libs/math/test/test_1F0.cpp
new file mode 100644
index 00000000..f99881da
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F0.cpp
@@ -0,0 +1,29 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F0.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F);
+#endif
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+   test_spots(boost::multiprecision::cpp_bin_float_quad());
+   test_spots(boost::multiprecision::cpp_dec_float_50());
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_1F0.hpp b/src/boost/libs/math/test/test_1F0.hpp
new file mode 100644
index 00000000..9c2e9969
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F0.hpp
@@ -0,0 +1,60 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F0.hpp>
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+
+template <class T>
+void test_spots(T)
+{
+   using std::pow;
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(4)), T(-27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(0.5)), T(0.125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(0.5)), T(8), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(4)), T(T(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-0.5)), pow(T(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-2)), T(1 / T(27)), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-4)), T(T(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-0.5)), pow(T(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-2)), T(27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-4)), T(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(2)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_1F1.cpp b/src/boost/libs/math/test/test_1F1.cpp
new file mode 100644
index 00000000..b8d1af38
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 22000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 20000000L, 650000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 40, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 9000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 430000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 430000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1.hpp b/src/boost/libs/math/test/test_1F1.hpp
new file mode 100644
index 00000000..c9aa61e0
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1.hpp
@@ -0,0 +1,381 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_1F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_1F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1F1.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1, type_name, "Integer a values");
+
+#include "hypergeometric_1F1_small_random.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_small_random, type_name, "Small random values");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big, type_name, "Large random values");
+}
+
+template <class T>
+void test_spots3(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big_double_limited.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big_double_limited, type_name, "Large random values - double limited precision");
+}
+
+template <class T>
+void test_spots4(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big_unsolved.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big, type_name, "Large random values - unsolved domains");
+}
+
+template <class T>
+void test_spots5(T, const char* type_name)
+{
+   std::cout << "Testing special cases for type " << type_name << std::endl;
+   BOOST_MATH_STD_USING
+      //
+      // Special cases:
+      //
+      using boost::math::hypergeometric_1F1;
+   T tol = boost::math::tools::epsilon<T>() * 200;
+   if (std::numeric_limits<T>::digits > std::numeric_limits<double>::digits)
+      tol *= 2;
+   if (boost::is_class<T>::value)
+      tol *= 4;
+   // b = 2a
+   T computed = hypergeometric_1F1(T(-12.25), T(2 * -12.25), T(6.75));
+   T expected = boost::lexical_cast<T>("22.995348157760091167706081204212893687052775606591209203948675272473773725021024450870565197330528784707135828761");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(12.25), T(2 * 12.25), T(6.75));
+   expected = boost::lexical_cast<T>("36.47281964229300610642392880149257389834650024065756742702265701321933782423217084029882132197130099355867287657");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-11), T(-12), T(6.75));
+   expected = boost::lexical_cast<T>("376.3166426246459656334542608880377435064935064935064935064935064935064935064935064935064935064935064935064935064");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-2), T(-12), T(6.75));
+   expected = boost::lexical_cast<T>("2.470170454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-224), T(-1205), T(6.75));
+   expected = boost::lexical_cast<T>("3.497033449657595724636676193024114597507981035316405619832857546161530808157860391434240068189887198094611519953");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(0.5), T(-1205.5), T(-6.75));
+   expected = boost::lexical_cast<T>("1.00281149043026925155096279505879868076290060374397866773878698584557482321961231721407215665017657501846692575");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-0.5), T(-1205.5), T(-6.75));
+   expected = boost::lexical_cast<T>("0.99719639844965644594352920596780535220516138060108955206195178371227403775248888108818326220977962797312690");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-12), T(16.25), T(1043.75));
+   expected = boost::lexical_cast<T>("1.26527673505477678311707565502355407505496430400394171269315320194708537626079491650410923064978320042481912e20");
+   BOOST_CHECK_CLOSE(computed, expected, tol * 3);
+
+   computed = hypergeometric_1F1(T(3.5), T(3.5), T(36.25));
+   expected = exp(T(36.25));
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-3.5), T(-3.5), T(36.25));
+   expected = exp(T(36.25));
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(1), T(2), T(36.25));
+   expected = boost::math::expm1(T(36.25)) / T(36.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol * 3);
+   computed = hypergeometric_1F1(T(10.25), T(9.25), T(36.25));
+   expected = exp(T(36.25)) * (T(9.25) + T(36.25)) / T(9.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-10.25), T(-11.25), T(36.25));
+   expected = exp(T(36.25)) * (T(-11.25) + T(36.25)) / T(-11.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-10.25), T(-11.25), T(-36.25));
+   expected = exp(T(-36.25)) * (T(-11.25) + T(-36.25)) / T(-11.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+}
+
+template <class T>
+void test_spots6(T, const char* type_name)
+{
+   static const boost::array<boost::array<T, 4>, 91> hypergeometric_1F1_bugs = { {
+        { { static_cast<double>(17955.561660766602), static_cast<double>(9.6968994205831605e-09), static_cast<double>(-82.406154185533524), SC_(6.98056008378736714088730927132364938220428678e-11) }},
+        { { static_cast<double>(17955.561660766602), static_cast<double>(-9.6968994205831605e-09), static_cast<double>(-82.406154185533524), SC_(-6.98055306629610746072607353939306734740549551e-11) }},
+        { { static_cast<double>(-17955.561660766602), static_cast<double>(-9.6968994205831605e-09), static_cast<double>(82.406154185533524), SC_(-42897094853118832762870100.8669248353530950866) }} ,
+        { { static_cast<double>(17955.561660766602), static_cast<double>(17956.061660766602), static_cast<double>(82.406154185533524), SC_(613117565438499794408370861624072730.553215432) }},
+        { { static_cast<double>(2.9127331452327709e-07), static_cast<double>(-0.99999970872668542), static_cast<double>(0.15018942760070786), SC_(0.987526018990506843793601092932108059727149508) }},
+        { { static_cast<double>(-2.9127331452327709e-07), static_cast<double>(-1.0000002912733146), static_cast<double>(0.15018942760070786), SC_(0.987526120661366412484942089372497015837368389) }},
+        { { static_cast<double>(6.7191087900739423e-13), static_cast<double>(-0.99999999999932809), static_cast<double>(0.0011913633891253994), SC_(0.999999289758605006762757201699750974296453229) }},
+        { { static_cast<double>(6.7191087900739423e-13), static_cast<double>(-0.99999999999932809), static_cast<double>(-0.0011913633891253994), SC_(0.999999290885918468326416221021126912154021802) }},
+        { { static_cast<double>(-6.7191087900739423e-13), static_cast<double>(-1.0000000000006719), static_cast<double>(0.0011913633891253994), SC_(0.999999289758606609651292394510404091049823243) }},
+        { { static_cast<double>(-6.7191087900739423e-13), static_cast<double>(-1.0000000000006719), static_cast<double>(-0.0011913633891253994), SC_(0.999999290885916869252591036674587894145399498) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(0.979404874070484696999110600576068012417904384) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(-6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(1.0205951259295150865252112924093487321207727) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(1.02059512592951530745923325071510441026202975) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(-6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(0.979404874070484909016444856299500644331897735) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(1), static_cast<double>(-2539.60133934021), SC_(0.999999999999999891757095137551552220860540801) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(1), static_cast<double>(-2539.60133934021), SC_(1.00000000000000010824290486244845922375479178) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(0.5), static_cast<double>(-2539.60133934021), SC_(0.999999999999999873931788919689096760455570214) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(0.5), static_cast<double>(-2539.60133934021), SC_(1.0000000000000001260682110803109183167444166) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(-0.5), static_cast<double>(-2539.60133934021), SC_(0.999999999999999899656990458526368219886894767) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(-0.5), static_cast<double>(-2539.60133934021), SC_(1.00000000000000010034300954147364037131355735) }},
+        { { static_cast<double>(1.9561377367172441e-13), static_cast<double>(-0.99999999999980438), static_cast<double>(0.53720525559037924), SC_(0.791950585963666119273677451162365759080483409) }},
+        { { static_cast<double>(1.9561377367172441e-13), static_cast<double>(-0.99999999999980438), static_cast<double>(-0.53720525559037924), SC_(0.898314630992769591673208399706587643905527327) }},
+        { { static_cast<double>(-1.9561377367172441e-13), static_cast<double>(-1.0000000000001956), static_cast<double>(0.53720525559037924), SC_(0.791950585964025761367113514279915403442035074) }},
+        { { static_cast<double>(-1.9561377367172441e-13), static_cast<double>(-1.0000000000001956), static_cast<double>(-0.53720525559037924), SC_(0.898314630992646771749564140770704893561753597) }},
+        { { static_cast<double>(5.1851756946064858e-12), static_cast<double>(-0.99999999999481481), static_cast<double>(-774.06985878944397), SC_(1.91306610467163858324476828831735612399803649e-06) }},
+        { { static_cast<double>(-5.1851756946064858e-12), static_cast<double>(-1.0000000000051852), static_cast<double>(-774.06985878944397), SC_(1.91306610479516297551035931150910859922270467e-06) }},
+
+        {{ static_cast<double>(4.782769898853794e-15), static_cast<double>(1.0000000000000049), static_cast<double>(43.289540141820908), SC_(715.678254892476818206948251991084031658534788) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(0.99999999999999523), static_cast<double>(43.289540141820908), SC_(-713.67825489247727251051792450091274703212426) }},
+        { { static_cast<double>(4.782769898853794e-15), static_cast<double>(0.50000000000000477), static_cast<double>(43.289540141820908), SC_(8235.578376364917373771471380274179857713986) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(0.49999999999999523), static_cast<double>(43.289540141820908), SC_(-8233.57837636502669085205930058992320862281194) }},
+        { { static_cast<double>(4.782769898853794e-15), static_cast<double>(-0.49999999999999523), static_cast<double>(43.289540141820908), SC_(-696269.800378137841948029488304613132151506346) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(-0.50000000000000477), static_cast<double>(43.289540141820908), SC_(696271.8003781336298001417038674968935893361) }},
+        { { static_cast<double>(8.1104991963343309e-05), static_cast<double>(-0.99991889500803666), static_cast<double>(-289.12455415725708), SC_(7.89625448009377635153307897651433007437615965e-124) }},
+        { { static_cast<double>(-8.1104991963343309e-05), static_cast<double>(-1.0000811049919633), static_cast<double>(-289.12455415725708), SC_(7.8949781467741574268884621364833028722017032e-124) }},
+
+         {{ static_cast<double>(-1.98018241448205767), static_cast<double>(1.98450573845762079), static_cast<double>(54.4977916804564302), SC_(2972026581564772.790187123046255523239732028) }},
+
+         { { static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-0.50007823822942044), static_cast<double>(-1896.0561106204987), SC_(1.00058778866237037053151236215058095904086972) }},
+
+         // Unexpected high error : 2.48268e+91 Found : -9.61305e+268 Expected : -1.74382e+193
+         { { static_cast<double>(5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(-1.74381782591884817018404492963109914357365958e+193) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -9.61305077326281580724540507004198316499661687e+268 Expected : 1.74381782591870724567837900957146707932623893e+193
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(1.74381782591870734495565763481520223752372107e+193) }},
+         //Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was - 13497.312248525042
+         { { static_cast<double>(-0.00023636552788275367), static_cast<double>(0.49976363447211725), static_cast<double>(-55.448519088327885), SC_(1.00141219419064760011631555641142295011268795) }},
+         // Unexpected exception: Error in function boost::math::hypergeometric_pFq<long double>: Cancellation is so severe that no bits in the reuslt are correct, last result was -13497.312248525042
+         {{ static_cast<double>(-0.00023636552788275367), static_cast<double>(-0.50023636552788275), static_cast<double>(-55.448519088327885), SC_(1.00093463146763986302362749764017215184711625) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was - 1.3871133003351527e+47
+         { { static_cast<double>(-1.6548533913638905e-10), static_cast<double>(0.49999999983451465), static_cast<double>(-169.20843148231506), SC_(1.00000000117356793527360151094991866549128017) }},
+         // Unexpected exception: Error in function boost::math::hypergeometric_pFq<long double>: Cancellation is so severe that no bits in the reuslt are correct, last result was -1.3871133003351527e+47
+         {{ static_cast<double>(-1.6548533913638905e-10), static_cast<double>(-0.50000000016548529), static_cast<double>(-169.20843148231506), SC_(1.00000000084161045914716192484600809610013447) }},
+         // Unexpected high error : 17825.7893791562892147339880466461181640625 Found : -0.000253525216373273569459012577453904668800532818 Expected : -0.000253525216374277052779756536082800266740377992
+         { { static_cast<double>(-2.0211181797563725e-14), static_cast<double>(-1.0000000000000202), static_cast<double>(-25.653068032115698), SC_(-0.000253525216374277055047768086884693917115210113) }},
+         // Unexpected high error: 1.79769e+308 Found: -inf Expected: -2.63233e-197
+         {{ static_cast<double>(235.44106131792068), static_cast<double>(-2.250966744069919e-13), static_cast<double>(-974.28781914710999), SC_(-2.63233018990922939037251029961929844581862228e-197) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -inf Expected : -3.53316570137147325345279499243339692001224196e+226
+         { { static_cast<double>(-235.44106131792068), static_cast<double>(-2.250966744069919e-13), static_cast<double>(974.28781914710999), SC_(-3.53316570137147343919975579872097464691424847e+226) }},
+         // Unexpected high error : 2.48268e+91 Found : -9.61305e+268 Expected : -1.74382e+193
+         { { static_cast<double>(5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(-1.74381782591884817018404492963109914357365958e+193) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -9.61305077326281580724540507004198316499661687e+268 Expected : 1.74381782591870724567837900957146707932623893e+193
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(1.74381782591870734495565763481520223752372107e+193) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(0.499999999999994), static_cast<double>(-240.42092034220695), SC_(1.00000000000004464930530925572237133417488137) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-0.500000000000006), static_cast<double>(-240.42092034220695), SC_(1.00000000000003262784934420226963147689063665) }},
+         // Unexpected high error : 18466.4373304979599197395145893096923828125 Found : 1.32865406167486480872551302123696359558380209e-08 Expected : 1.3286540616694168317751162703647255236560909e-08
+         { { static_cast<double>(6.772927684190258e-10), static_cast<double>(-0.99999999932270722), static_cast<double>(-483.69576895236969), SC_(1.32865406166941679958876322759721528297325713e-08) }},
+         // Unexpected high error: 1.79769e+308 Found: -nan(ind) Expected: 5.31173e-38
+         {{ static_cast<double>(6763.4877452850342), static_cast<double>(3.6834977949762315e-08), static_cast<double>(-210.20976513624191), SC_(5.31173132667573457976877380237496445775181141e-38) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -nan(ind) Expected : 1.04274264437409856500364465136386556989276338e+54
+         { { static_cast<double>(-6763.4877452850342), static_cast<double>(3.6834977949762315e-08), static_cast<double>(210.20976513624191), SC_(1.04274264437409861991447530452939035771734596e+54) }},
+         // Unexpected high error: 3.17219226436543247206316287281668161679098192e+185 Found: 1.00012411189051491970538746574092795078602734e+201 Expected: 14198882672502154063215954231296
+         {{ static_cast<double>(76763.042617797852), static_cast<double>(-21.722407214343548), static_cast<double>(-0.60326536209322512), SC_(14198882672502153010712531896984.8126667697959) }},
+
+         // Unexpected high error: 1.79769313486231570814527423731704356798070568e+308 Found: -2.39521645877904927856730119998375850409649219e+124 Expected: 2.3952164587795095929135248712964248422934629e+124
+         {{ static_cast<double>(-1.8857404964801872e-09), static_cast<double>(-226.52341184020042), static_cast<double>(160.86221924424171), SC_(2.39521645877950946848639784331327651190093595e+124) }},
+         // Unexpected high error : 73027.246763920571538619697093963623046875 Found : 0.000111810625893715248580992382976262433658121154 Expected : 0.000111810625895528292111404111697225971511215903
+         { { static_cast<double>(-7.5220323642510769e-13), static_cast<double>(-1.0000000000007523), static_cast<double>(-17.948102783411741), SC_(0.00011181062589552829441403260197223627311023229) }},
+         // Unexpected high error: 111726.15160028330865316092967987060546875 Found: 0.00856985181006919560786627698689699172973632813 Expected: 0.00856985180985659310282098743982714950107038021
+         {{ static_cast<double>(5.6136137469239618e-15), static_cast<double>(-0.99999999999999434), static_cast<double>(-1989.8742001056671), SC_(0.00856985180985659334965068576732515544478559175) }},
+         // Unexpected high error : 10431.000000023717802832834422588348388671875 Found : 0.99999999999772626324556767940521240234375 Expected : 1.00000000000004241051954068097984418272972107
+         { { static_cast<double>(-5.6136137469239618e-15), static_cast<double>(-0.50000000000000566), static_cast<double>(-1989.8742001056671), SC_(1.00000000000004243096226509338784935080089269) }},
+         // And more from error rate testing:
+         {{ (T)std::ldexp((double)-17079780487168000, -44), (T)std::ldexp((double)9462273998848000, -46), (T)std::ldexp((double)9928190459904000, -48), SC_(7.7358754011357422722746277257633664799903803239195e-72) }},
+         {{ (T)std::ldexp((double)-16238757384192000, -44), (T)std::ldexp((double)17248812490752000, -44), (T)std::ldexp((double)12549255331840000, -49), SC_(4.7354970214088286546733909450191631190700414608975e-10) }},
+         {{ static_cast<double>(-6.8543290253728628), static_cast<double>(607.72073245607316), static_cast<double>(253.26409819535911), SC_(0.024418741483258497441042709681531519387974841769189) }},
+         {{ (T)std::ldexp((double)-15569844699136000, -52), (T)std::ldexp((double)12855440629760000, -44), (T)std::ldexp((double)12563412279296000, -45), SC_(0.097879401070280078654536987721507669872679020399179) }},
+         {{ (T)std::ldexp((double)-13521484578816000, -48), (T)std::ldexp((double)11813014388736000, -46), (T)std::ldexp((double)12736881098752000, -48), SC_(9.1262751214688536871555425535678062558805718157237e-08) }},
+         {{ (T)std::ldexp((double)-13125670141952000, -44), (T)std::ldexp((double)16524914262016000, -44), (T)std::ldexp((double)12270166867968000, -49), SC_(2.0809215788388623809065210261671764534436583442155e-08) }},
+         {{ (T)std::ldexp((double)-9012443406336000, -45), (T)std::ldexp((double)12293411340288000, -46), (T)std::ldexp((double)15162862993408000, -52), SC_(0.00634911418172408957356631082162378669273898042) }},
+         {{ (T)std::ldexp((double)10907252916224000, -46), (T)std::ldexp((double)10872033234944000, -44), (T)std::ldexp((double)14845267734528000, -44), SC_(3.35597139167246486559762237420776458756928282e+152) }},
+         {{ (T)std::ldexp((double)10206210322432000, -44), (T)std::ldexp((double)-16798514331648000, -45), (T)std::ldexp((double)21261284909056000, -48), SC_(3.8172723666678171743099642722909945977624468e+207) }},
+         //{{ (T)std::ldexp((double)9125305942016000, -46), (T)std::ldexp((double)-15115828240384000, -45), (T)std::ldexp((double)9662868946944000, -47), SC_(4175579218962.24466854749118518544065513059142) }},
+         //
+         // These next few are the result of probing the boundary cases in hypergeometric_1F1_negative_b_recurrence_region
+         //
+         {{ (T)std::ldexp((double)10860755407856640, -40), (T)std::ldexp((double)-15992550230222440, -47), (T)std::ldexp((double)11953621172224000, -51), SC_(1.77767974631716859575450750736407296713916302e+278) }},
+         {{ (T)std::ldexp((double)10788477424245760, -40), (T)std::ldexp((double)-17098099940288104, -45), (T)std::ldexp((double)9309879533568000, -50), SC_(3.30879597828065234949261835734767876076477669e+268) }},
+         {{ (T)std::ldexp((double)10938221827471360, -40), (T)std::ldexp((double)-13207828614139084, -46), (T)std::ldexp((double)14276471291904000, -57), SC_(0.00563892736925233243283328398477659041011689599) }},
+         { { (T)std::ldexp((double)10886339790484480, -40), (T)std::ldexp((double)-15267677514969908, -46), (T)std::ldexp((double)11568125313024000, -56), SC_(0.000743168361387021436166355590813648069510383979) } },
+         { { (T)std::ldexp((double)10486036094119936, -40), (T)std::ldexp((double)-15535492710109184, -41), (T)std::ldexp((double)17014293405696000, -45), SC_(-2.61817515260939017621443182916266462279292638e+230) } },
+         { { (T)std::ldexp((double)10485257266971648, -40), (T)std::ldexp((double)-17826711054409018, -35), (T)std::ldexp((double)17138334978048000, -44), SC_(1.70138735099219741672706572460585684251928784e-08) } },
+         { { (T)std::ldexp((double)10485122560373760, -40), (T)std::ldexp((double)-11098279821997376, -39), (T)std::ldexp((double)16925852270592000, -45), SC_(9.77378642649349178995585980824930703376759021e-98) } },
+         { { (T)std::ldexp((double)10485292967829248, -40), (T)std::ldexp((double)-14859721380002656, -35), (T)std::ldexp((double)13729956970496000, -44), SC_(3.41094899910311302761937103011397882987669395e-08) } },
+         { { (T)std::ldexp((double)10485037389193216, -40), (T)std::ldexp((double)-10840488483391544, -35), (T)std::ldexp((double)17577061875712000, -45), SC_(2.8030884395368690164859926372380406504460219e-07) } },
+           //
+           // Negative a and b worst cases:
+        { { (T)std::ldexp((double)-9281686323200000, -44), (T)std::ldexp((double)-14062138056704000, -44), (T)std::ldexp((double)13563284652032000, -44), SC_(2.8338102961174890442403751063892055396228341374378e+265) } },
+        { { (T)std::ldexp((double)-17049048150016000, -44), (T)std::ldexp((double)-16971363917824000, -45), (T)std::ldexp((double)11759598960640000, -49), SC_(4636596575297708282.1539119952275597833292408543916) }},
+        { { (T)std::ldexp((double)-14233964060672000, -45), (T)std::ldexp((double)-12648356216832000, -47), (T)std::ldexp((double)9597206757376000, -46), SC_(-1.2995296554447445191533190670521132012426135496934e+104) }},
+        { { (T)std::ldexp((double)-16705334214656000, -45), (T)std::ldexp((double)-15447756718080000, -46), (T)std::ldexp((double)16395884134400000, -47), SC_(5.4068014134661635929301319845768046995946557071618e+113) }},
+        { { (T)std::ldexp((double)-13991530405888000, -45), (T)std::ldexp((double)-10196587347968000, -46), (T)std::ldexp((double)13331347734528000, -46), SC_(1.2861275297661534781908508971693782447411136476694e+138) }},
+        { { (T)std::ldexp((double)-15134950760448000, -45), (T)std::ldexp((double)-14587193786368000, -48), (T)std::ldexp((double)17022855921664000, -46), SC_(-8.8168904087758007346518546320759101059296394741359e+115) }},
+        { { (T)std::ldexp((double)-14854672039936000, -45), (T)std::ldexp((double)-10436558200832000, -45), (T)std::ldexp((double)11370918969344000, -47), SC_(8.8553524727253411744552846056891456360191660433059e+54) } },
+        { { (T)std::ldexp((double)-16711069286400000, -46), (T)std::ldexp((double)-14809815056384000, -46), (T)std::ldexp((double)10469312954368000, -47), SC_(50343352353398198766339890377687038177.388095267191) } },
+        { { (T)std::ldexp((double)-15026786402304000, -45), (T)std::ldexp((double)-16687356968960000, -46), (T)std::ldexp((double)14895621603328000, -47), SC_(2.8532956042460265690059969666558072704044483623242e+95) } },
+        { { (T)std::ldexp((double)-15519073435648000, -45), (T)std::ldexp((double)-14162009718784000, -45), (T)std::ldexp((double)9997818855424000, -48), SC_(95767987018108517.763999577428194082282035178055037) } },
+        { { (T)std::ldexp((double)-15317481275392000, -46), (T)std::ldexp((double)-16531865931776000, -44), (T)std::ldexp((double)17586268880896000, -45), SC_(1.4701248047083724279783071194324315286789986738882e+104) }},
+        { { (T)std::ldexp((double)-11335669673984000, -44), (T)std::ldexp((double)-13146047094784000, -44), (T)std::ldexp((double)13671437864960000, -44), SC_(-2.1887607284987089539904337941443591993019781369247e+288) }},
+        { { (T)std::ldexp((double)-16877985234944000, -46), (T)std::ldexp((double)-14384006086656000, -46), (T)std::ldexp((double)9074349342720000, -47), SC_(15376193613462463541358751744530105.412429016705833) }},
+        { { (T)std::ldexp((double)-9751199809536000, -45), (T)std::ldexp((double)-17654191685632000, -47), (T)std::ldexp((double)10587451850752000, -47), SC_(-1.9601415510439595625538337964298353914980331018955e+68) }},
+        { { (T)std::ldexp((double)-15233620754432000, -45), (T)std::ldexp((double)-12708283072512000, -46), (T)std::ldexp((double)10255461007360000, -46), SC_(-5.4344106361679075861859567858016187271235441673635e+125) }},
+        { { (T)std::ldexp((double)-11241354149888000, -45), (T)std::ldexp((double)-9580579905536000, -45), (T)std::ldexp((double)12224976846848000, -47), SC_(12046856548470067405870726490464935201150430438.035) }},
+   } };
+   static const boost::array<boost::array<T, 4>, 2> hypergeometric_1F1_big_bugs = { {
+#if DBL_MAX_EXP == LDBL_MAX_EXP
+         {{ static_cast<double>(7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), BOOST_MATH_HUGE_CONSTANT(T, 1000, 4.33129800901478785957996719992774682013355926e+668) }},
+         {{ static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), BOOST_MATH_HUGE_CONSTANT(T, 1000, -4.3248750673398590673783317624407455467680038e+668) }},
+#else
+   { { static_cast<double>(7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), SC_(4.33129800901478785957996719992774682013355926e+668) } },
+   { { static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), SC_(-4.3248750673398590673783317624407455467680038e+668) } },
+#endif
+   } };
+   do_test_1F1<T>(hypergeometric_1F1_bugs, type_name, "Bug cases");
+   if(std::numeric_limits<T>::max_exponent10 > 800)
+      do_test_1F1<T>(hypergeometric_1F1_big_bugs, type_name, "Bug cases - oversized");
+   else
+   {
+      for (unsigned i = 0; i < hypergeometric_1F1_big_bugs.size(); ++i)
+      {
+         T val = boost::math::hypergeometric_1F1(hypergeometric_1F1_big_bugs[i][0], hypergeometric_1F1_big_bugs[i][1], hypergeometric_1F1_big_bugs[i][2]);
+         BOOST_CHECK((boost::math::isinf)(val));
+      }
+   }
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+   test_spots2(z, type_name);
+   //
+   // Test ranges that are limited to double precision, these contain test cases
+   // which require full double precision for the inputs, so we don't test
+   // at float precision as well as higher precisions:
+   //
+   if (std::numeric_limits<T>::digits10 == std::numeric_limits<double>::digits10)
+      test_spots3(z, type_name);
+#ifdef TEST_UNSOLVED
+   test_spots4(z, type_name);
+#endif
+   test_spots5(z, type_name);
+   //
+   // Try as we might, we can't get better than quad precision on some of these:
+   //
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<double>::digits && std::numeric_limits<T>::digits <= 128)
+      test_spots6(z, type_name);
+}
+
+
+// Tests the Mellin transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.10
+template <class Real>
+void test_hypergeometric_mellin_transform()
+{
+   using boost::math::hypergeometric_1F1;
+   using boost::math::quadrature::exp_sinh;
+   using boost::math::tgamma;
+   using std::pow;
+
+   // Constraint: 0 < lambda < a.
+   Real lambda = 0.5;
+   Real a = 1;
+   Real b = 3;
+   auto f = [&](Real t)->Real { return pow(t, lambda - 1)*hypergeometric_1F1(a, b, -t); };
+
+   auto integrator = exp_sinh<double>();
+   Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+   Real expected = tgamma(b)*tgamma(lambda)*tgamma(a - lambda) / (tgamma(a)*tgamma(b - lambda));
+
+   Real tol = boost::math::tools::epsilon<Real>() * 5;
+   BOOST_CHECK_CLOSE_FRACTION(computed, expected, tol);
+}
+
+
+// Tests the Laplace transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.4
+template <class Real>
+void test_hypergeometric_laplace_transform()
+{
+   using boost::math::hypergeometric_1F1;
+   using boost::math::quadrature::exp_sinh;
+   using boost::math::tgamma;
+   using std::pow;
+   using std::exp;
+
+   // Set a = 1 blows up for some reason . . .
+   Real a = -1;
+   Real b = 3;
+   Real z = 1.5;
+   auto f = [&](Real t)->Real { return exp(-z * t)*pow(t, b - 1)*hypergeometric_1F1(a, b, t); };
+
+   auto integrator = exp_sinh<double>();
+   Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+   Real expected = tgamma(b) / (pow(z, b)*pow(1 - 1 / z, a));
+
+   Real tol = boost::math::tools::epsilon<Real>() * 200;
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+}
diff --git a/src/boost/libs/math/test/test_1F1_log.cpp b/src/boost/libs/math/test/test_1F1_log.cpp
new file mode 100644
index 00000000..550078db
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_log.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1_log.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 20000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 20000000L, 600000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 40, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 8000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 400000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 400000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_log.hpp b/src/boost/libs/math/test/test_1F1_log.hpp
new file mode 100644
index 00000000..52103fc2
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_log.hpp
@@ -0,0 +1,88 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::log_hypergeometric_1F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::log_hypergeometric_1F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "log_hypergeometric_1F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1f1_log_large.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_log_large, type_name, "Large random values - log");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_1f1_log_large_unsolved.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_log_large_unsolved, type_name, "Large random values - log - unsolved");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+#ifdef TEST_UNSOLVED
+   test_spots2(z, type_name);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_regularized.cpp b/src/boost/libs/math/test/test_1F1_regularized.cpp
new file mode 100644
index 00000000..0fd12ce1
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_regularized.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1_regularized.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 20000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 200000000L, 20000000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 100, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 8000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 400000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 400000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_regularized.hpp b/src/boost/libs/math/test/test_1F1_regularized.hpp
new file mode 100644
index 00000000..7655d427
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_regularized.hpp
@@ -0,0 +1,77 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1_regularized<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_1F1_regularized;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_1F1_regularized", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1f1_large_regularized.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_large_regularized, type_name, "Large random values - regularized");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+}
+
diff --git a/src/boost/libs/math/test/test_2F0.cpp b/src/boost/libs/math/test/test_2F0.cpp
new file mode 100644
index 00000000..ed99e45b
--- /dev/null
+++ b/src/boost/libs/math/test/test_2F0.cpp
@@ -0,0 +1,97 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_2F0.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+#else
+   largest_type = "(long\\s+)?double|cpp_bin_float_quad|dec_40";
+#endif
+
+   if (boost::math::policies::digits<double, boost::math::policies::policy<> >() != boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "Random non-integer a2.*",     // test data group
+         ".*", 10, 5);                  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "a1 = a2 \\+ 0\\.5",           // test data group
+         ".*", 10, 5);                  // test function
+   }
+   
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Random non-integer a2.*",                   // test data group
+      ".*", 9000, 3000);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer.*",                   // test data group
+      ".*", 300, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "a1 = a2 \\+ 0\\.5",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+   test_spots(dec_40(), "dec_40");
+}
diff --git a/src/boost/libs/math/test/test_2F0.hpp b/src/boost/libs/math/test/test_2F0.hpp
new file mode 100644
index 00000000..d0cacf9e
--- /dev/null
+++ b/src/boost/libs/math/test/test_2F0.hpp
@@ -0,0 +1,102 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_2F0.hpp>
+
+template <class Real, class T>
+void do_test_2F0(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_2F0;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_0F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_2F0.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0, type_name, "Random non-integer a2, |z| < 1");
+
+#include "hypergeometric_2F0_large_z.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_large_z, type_name, "Random non-integer a2, |z| > 1");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_2F0_integer_a2.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_integer_a2, type_name, "Integer a2, |z| > 1");
+
+#include "hypergeometric_2F0_half.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_half, type_name, "a1 = a2 + 0.5");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+   test_spots2(z, type_name);
+
+   T a1 = 1;
+   T a2 = 0.1f;
+   z = -1;
+   if (std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      z = 1;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      a2 = -2.4f;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      a1 = -0.5f;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+   }
+}
diff --git a/src/boost/libs/math/test/test_airy.cpp b/src/boost/libs/math/test/test_airy.cpp
new file mode 100644
index 00000000..aba34665
--- /dev/null
+++ b/src/boost/libs/math/test/test_airy.cpp
@@ -0,0 +1,87 @@
+//  Copyright John Maddock 2012
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/array.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756 4127) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Airy functions.  
+// These are basically just a few spot tests, since the underlying implementation
+// is the same as for the Bessel functions.
+//
+template <class T>
+void test_airy(T, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+   static const boost::array<boost::array<T, 5>, 8> data = 
+   {{
+      // Values are x, Ai, Bi, Ai', Bi'.
+      // Calculated from functions.wolfram.com.
+      {{ 0, static_cast<T>(0.355028053887817239260063186004183176397979174199177240583327L), static_cast<T>(0.614926627446000735150922369093613553594728188648596505040879L), static_cast<T>(-0.258819403792806798405183560189203963479091138354934582210002L), static_cast<T>(0.448288357353826357914823710398828390866226799212262061082809L) }},
+      {{ 2, static_cast<T>(0.0349241304232743791353220807918076097610602138975832071886699L), static_cast<T>(3.29809499997821471028060442522345242200397596340362078768292L), static_cast<T>(-0.0530903844336536317039991858787034912485609900458779926304030L), static_cast<T>(4.10068204993288988938203407917793529439024461377513711983771L) }},
+      {{ 3.5, static_cast<T>(0.00258409878698963496327714478330027845019631096464789073425468L), static_cast<T>(33.0555067546114794142573129819217946861266278143724855010951L), static_cast<T>(-0.00500441396795258283203024967883836790716278377542974739809987L), static_cast<T>(59.1643195813609870345742121795224602529063343063320217229383L) }},
+      {{ 30.5, static_cast<T>(2.04253461666926015963302258449952681287194929082634196439857e-50L), static_cast<T>(1.41092256201712698413071856671990267572381736486242769613348e48L), static_cast<T>(-1.12969466271996376602221721397236452019046628449363103927812e-49L), static_cast<T>(7.78046629440950280615411694840600772185863288897663300007879e48L) }},
+      {{ -2, static_cast<T>(0.227407428201685575991924436037873799460772225417096716495790L), static_cast<T>(-0.412302587956398488083234054611461042034534834472404728823877L), static_cast<T>(0.618259020741691041406264291332475282915777945124146942159898L), static_cast<T>(0.278795166921169522685097569410983241403000593451631000239732L) }},
+      {{ -3.5, static_cast<T>(-0.375533823140431911934396951580170239543268576378264063902563L), static_cast<T>(0.168939837481058611843442769540943269911562243926304070915824L), static_cast<T>(-0.343443433454048146287937374098698857094194220958713294264017L), static_cast<T>(-0.693116284907288801752443612670580462699702668014978495343697L) }},
+      {{ -30.25, static_cast<T>(-0.236900428491559731119806902381433570300271552218956227857722L), static_cast<T>(0.0418614989839147441219283537268101850442118139150748075124111L), static_cast<T>(-0.232197332372689274917364138870840123428255785603863926579897L), static_cast<T>(-1.30261375952554697768880873095691151213006925411329957440342L) }},
+      {{ -300.5, static_cast<T>(-0.117584304761702008955433457721670950077867326839023449546057L), static_cast<T>(0.0673518035440918806545676478730240310819758211028871823560384), static_cast<T>(-1.16763702262473888724431076711846459336993902544926162874376L), static_cast<T>(-2.03826035550300900666977975504950803669545593208969273694133L) }},
+   }};
+
+   T tol = boost::math::tools::epsilon<T>() * 800;
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(data[i][1], boost::math::airy_ai(data[i][0]), tol);
+      if(boost::math::isfinite(data[i][2]))
+         BOOST_CHECK_CLOSE_FRACTION(data[i][2], boost::math::airy_bi(data[i][0]), tol);
+      BOOST_CHECK_CLOSE_FRACTION(data[i][3], boost::math::airy_ai_prime(data[i][0]), tol);
+      if(boost::math::isfinite(data[i][4]))
+         BOOST_CHECK_CLOSE_FRACTION(data[i][4], boost::math::airy_bi_prime(data[i][0]), tol);
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_airy(0.1F, "float");
+#endif
+   test_airy(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_airy(0.1L, "long double");
+   test_airy(boost::math::concepts::real_concept(0), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_archive.cpp b/src/boost/libs/math/test/test_archive.cpp
new file mode 100644
index 00000000..b73773be
--- /dev/null
+++ b/src/boost/libs/math/test/test_archive.cpp
@@ -0,0 +1,239 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow - filename changes for boost-trunk.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#ifdef _MSC_VER
+//#   pragma warning(disable : 4511 4512 4702)
+//#endif
+
+#define BOOST_TEST_MAIN
+
+#include <limits>
+#include <locale>
+#include <sstream>
+
+#include <boost/archive/text_iarchive.hpp>
+#include <boost/archive/text_oarchive.hpp>
+#include <boost/archive/text_wiarchive.hpp>
+#include <boost/archive/text_woarchive.hpp>
+#include <boost/archive/codecvt_null.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+
+#include "almost_equal.ipp"
+
+namespace {
+
+// The anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::archive;
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using (boost::math::isnan)(;
+
+//------------------------------------------------------------------------------
+
+void archive_basic_test();
+void archive_put_trap_test();
+void archive_get_trap_test();
+
+BOOST_AUTO_TEST_CASE(archive_test)
+{
+    archive_basic_test();
+    archive_put_trap_test();
+    archive_get_trap_test();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_basic_test_impl();
+
+void archive_basic_test()
+{
+    archive_basic_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_basic_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_basic_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_basic_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+      return;
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale tmp_locale(default_locale, new nonfinite_num_put<CharType>);
+    std::locale my_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(my_locale);
+
+    ValType a1 = static_cast<ValType>(0);
+    ValType a2 = static_cast<ValType>(2307.35);
+    ValType a3 = std::numeric_limits<ValType>::infinity();
+    BOOST_CHECK((boost::math::isinf)(a3));
+    ValType a4 = std::numeric_limits<ValType>::quiet_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a4));
+    ValType a5 = std::numeric_limits<ValType>::signaling_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a5));
+    ValType a6 = (changesign)(static_cast<ValType>(0));
+    ValType a7 = static_cast<ValType>(-57.13);
+    ValType a8 = -std::numeric_limits<ValType>::infinity();
+    BOOST_CHECK((boost::math::isinf)(a8));
+    ValType a9 = -std::numeric_limits<ValType>::quiet_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a9));
+    ValType a10 = -std::numeric_limits<ValType>::signaling_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a10));
+
+    {
+        OArchiveType oa(ss, no_codecvt);
+        oa & a1 & a2 & a3 & a4 & a5 & a6 & a7 & a8 & a9 & a10;
+    }
+
+    ValType b1, b2, b3, b4, b5, b6, b7, b8, b9, b10;
+
+    {
+        IArchiveType ia(ss, no_codecvt);
+        ia & b1 & b2 & b3 & b4 & b5 & b6 & b7 & b8 & b9 & b10;
+    }
+
+    BOOST_CHECK(a1 == b1);
+    BOOST_CHECK(almost_equal(a2, b2));
+    BOOST_CHECK(a3 == b3);
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK(!(signbit)(b4));
+    BOOST_CHECK((isnan)(b5));
+    BOOST_CHECK(!(signbit)(b5));
+    BOOST_CHECK(a6 == b6);
+    BOOST_CHECK(almost_equal(a7, b7));
+    BOOST_CHECK(a8 == b8);
+    BOOST_CHECK((isnan)(b9));
+    BOOST_CHECK((signbit)(b9));
+    BOOST_CHECK((isnan)(b10));
+    BOOST_CHECK((signbit)(b10));
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_put_trap_test_impl();
+
+void archive_put_trap_test()
+{
+    archive_put_trap_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_put_trap_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_put_trap_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_put_trap_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+      return;
+
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale new_locale(default_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.exceptions(std::ios_base::failbit | std::ios_base::badbit);
+    ss.imbue(new_locale);
+
+    ValType a = std::numeric_limits<ValType>::infinity();
+
+    OArchiveType oa(ss, no_codecvt);
+
+    try {
+        oa & a;
+    }
+    catch(std::exception&) {
+    ss.clear();
+        return;
+    }
+
+    BOOST_CHECK(false);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_get_trap_test_impl();
+
+void archive_get_trap_test()
+{
+    archive_get_trap_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_get_trap_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_get_trap_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_get_trap_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+     return;
+
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale tmp_locale(default_locale, new nonfinite_num_put<CharType>);
+    std::locale my_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.exceptions(std::ios_base::failbit);
+    ss.imbue(my_locale);
+
+    ValType a = -std::numeric_limits<ValType>::quiet_NaN();
+
+    {
+        OArchiveType oa(ss, no_codecvt);
+        oa & a;
+    }
+
+    ValType b;
+    {
+        IArchiveType ia(ss, no_codecvt);
+        try {
+            ia & b;
+        }
+        catch(std::exception&) {
+            return;
+        }
+    }
+
+    BOOST_CHECK(false);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_arcsine.cpp b/src/boost/libs/math/test/test_arcsine.cpp
new file mode 100644
index 00000000..ed7bb709
--- /dev/null
+++ b/src/boost/libs/math/test/test_arcsine.cpp
@@ -0,0 +1,605 @@
+// test_arcsine_dist.cpp
+
+// Copyright John Maddock 2014.
+// Copyright  Paul A. Bristow 2014.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for the arcsine Distribution.
+
+#include <pch.hpp> // Must be 1st include, and include_directory /libs/math/src/tr1/ is needed.
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // Conditional expression is constant.
+#  pragma warning (disable : 4996) // POSIX name for this item is deprecated.
+#  pragma warning (disable : 4224) // Nonstandard extension used : formal parameter 'arg' was previously defined as a type.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept.
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp> // for real_concept.
+
+#include <boost/math/distributions/arcsine.hpp> // for arcsine_distribution.
+using boost::math::arcsine_distribution;
+
+#include <boost/math/constants/constants.hpp>
+using boost::math::constants::one_div_root_two;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+
+#include <cmath>
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+
+template <class RealType>
+void test_ignore_policy(RealType)
+{
+  // Check on returns when errors are ignored.
+  if ((typeid(RealType) != typeid(boost::math::concepts::real_concept))
+    && std::numeric_limits<RealType>::has_infinity
+    && std::numeric_limits<RealType>::has_quiet_NaN
+    )
+  { // Ordinary floats only.
+
+    using namespace boost::math;
+    //   RealType inf = std::numeric_limits<RealType>::infinity();
+    RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+    using boost::math::policies::policy;
+    // Types of error whose action can be altered by policies:.
+    //using boost::math::policies::evaluation_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::overflow_error;
+    //using boost::math::policies::underflow_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::pole_error;
+
+    //// Actions on error (in enum error_policy_type):
+    //using boost::math::policies::errno_on_error;
+    //using boost::math::policies::ignore_error;
+    //using boost::math::policies::throw_on_error;
+    //using boost::math::policies::denorm_error;
+    //using boost::math::policies::pole_error;
+    //using boost::math::policies::user_error;
+
+    typedef policy<
+      boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+      boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+      boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+      boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+    > ignore_all_policy;
+
+    typedef arcsine_distribution<RealType, ignore_all_policy> ignore_error_arcsine;
+
+    // Only test NaN and infinity if type has these features (realconcept returns zero).
+    // Integers are always converted to RealType,
+    // others requires static cast to RealType from long double.
+
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Demonstrate output of PDF with infinity,
+      // but strin goutput from NaN is platform dependent, so can't use BOOST_CHECK.
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //std::cout << "pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = " << pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) << std::endl;
+        //  Outputs:  pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = 1.#QNAN
+      }
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(+2))));  // x > x_max
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(+2)))); // x > x_max
+
+      // Mean
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(+nan, 0))));
+
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity(), 0))));
+        // std::cout << "arcsine(-inf,+1) mean " << mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity())) << std::endl;
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(std::numeric_limits<RealType>::infinity(), 0))));
+      }
+
+      // NaN constructors.
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, 2))));
+
+      // Variance
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(static_cast<RealType>(1.7L), 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, 0))));
+
+      // Skewness
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(3, 0))));
+
+      // Kurtosis
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(4, 0))));
+
+      // Kurtosis excess
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(4, 0))));
+    } // has_quiet_NaN
+
+    //
+    BOOST_CHECK(boost::math::isfinite(mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon()))));
+
+    check_support<arcsine_distribution<RealType> >(arcsine_distribution<RealType>(0, 1));
+  } // ordinary floats.
+} // template <class RealType> void test_ignore_policy(RealType)
+
+
+template <class RealType>
+RealType informax()
+{ //! \return Infinity else max_value.
+  return ((std::numeric_limits<RealType>::has_infinity) ?
+     std::numeric_limits<RealType>::infinity() : boost::math::tools::max_value<RealType>());
+}
+
+template <class RealType>
+void test_spot(
+  RealType a,    // alpha a or lo or x_min
+  RealType b,    // arcsine b or hi or x_maz
+  RealType x,    // Probability
+  RealType P,    // CDF of arcsine(a, b)
+  RealType Q,    // Complement of CDF of arcsine (a, b)
+  RealType tol)  // Test tolerance.
+{
+  boost::math::arcsine_distribution<RealType> anarcsine(a, b);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(anarcsine, x), P, tol);
+  if ((P < 0.99) && (Q < 0.99))
+  { // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error,
+    // (and similarly for Q).
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(anarcsine, x)), Q, tol);
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(anarcsine, P), x, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(anarcsine, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if k
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(quantile(complement(anarcsine, Q)), x, tol * 10);
+    }
+    else
+    {  // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+      { // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(anarcsine, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if x
+  }
+} // template <class RealType> void test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+    // Basic sanity checks with 'known good' values.
+    // so set tolerance to a few eps expressed as a fraction, or
+    // few eps of type double expressed as a fraction,
+    // whichever is the larger.
+
+    RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon())); // 0 if real_concept.
+
+    tolerance *= 2; // Note: NO * 100 because tolerance is a fraction, NOT %.
+    cout << "tolerance = " << tolerance << endl;
+
+    using boost::math::arcsine_distribution;
+    using  ::boost::math::cdf;
+    using  ::boost::math::pdf;
+    using  ::boost::math::complement;
+    using  ::boost::math::quantile;
+
+    // Basic sanity-check spot values.
+
+    // Test values from Wolfram alpha, for example:
+    // http://www.wolframalpha.com/input/?i=+N%5BPDF%5Barcsinedistribution%5B0%2C+1%5D%2C+0.5%5D%2C+50%5D
+    // N[PDF[arcsinedistribution[0, 1], 0.5], 50]
+    // 0.63661977236758134307553505349005744813783858296183
+
+    arcsine_distribution<RealType> arcsine_01; // (Our) Standard arcsine.
+    // Member functions.
+    BOOST_CHECK_EQUAL(arcsine_01.x_min(), 0);
+    BOOST_CHECK_EQUAL(arcsine_01.x_max(), 1);
+
+    // Derived functions.
+    BOOST_CHECK_EQUAL(mean(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(arcsine_01), 0.125); // 1/8 = 0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(arcsine_01), one_div_root_two<double>() / 2, tolerance); // 1/ sqrt(s) = 0.35355339059327379
+    BOOST_CHECK_EQUAL(skewness(arcsine_01), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(arcsine_01), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(arcsine_01).first, 0); //
+    BOOST_CHECK_EQUAL(range(arcsine_01).first, 0); //
+    BOOST_MATH_CHECK_THROW(mode(arcsine_01), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // PDF
+    // pdf of x = 1/4 is same as reflected value at x = 3/4.
+    // N[PDF[arcsinedistribution[0, 1], 0.25], 50]
+    // N[PDF[arcsinedistribution[0, 1], 0.75], 50]
+    // 0.73510519389572273268176866441729258852984864048885
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000001), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000005), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    // Note loss of significance when x is near x_max.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 8 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999995), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), 50000 * tolerance); // Much less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999999), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), 100000 * tolerance);// Even less accurate.
+
+    // Extreme x.
+    if (std::numeric_limits<RealType>::has_infinity)
+    { //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 0), informax<RealType>()); //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 1), informax<RealType>()); //
+    }
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, static_cast<RealType>(1) - tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+
+    // CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000001), static_cast<RealType>(0.00063661987847092448418377367957384866092127786060574L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000005), static_cast<RealType>(0.0014235262731079289297302426454125318201831474507326L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.05), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.5), static_cast<RealType>(0.5L), tolerance); // Exact.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.95), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), 2 * tolerance);
+    // Values near unity should use the cdf complemented for better accuracy,
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999995), static_cast<RealType>(0.99857647372689207107026975735458746817981685254927L), 100 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999999), static_cast<RealType>(0.99936338012152907551581622632042615133907872213939L), 1000 * tolerance); // Less accurate.
+
+    //  Complement CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(1 - 0.00063661987847092448418377367957384866092127786060574L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(0.99936338012152907551581622632043L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.05)), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.5)), static_cast<RealType>(0.5L), tolerance); // Exact.
+    // Some values near unity when complement is expected to be less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.95)), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); // 2 for asin
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.999999)), static_cast<RealType>(1 - 0.99936338012152907551581622632042615133907872213939L), 1000000 * tolerance); // 10000 for asin, 1000000 for acos.
+
+    // Quantile.
+
+    // Check 1st, 2nd and 3rd quartiles.
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.25L)), static_cast<RealType>(0.14644660940672624L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.75L)), static_cast<RealType>(0.85355339059327373L), tolerance);
+
+    // N[CDF[arcsinedistribution[0, 1], 0.05], 50]  == 0.14356629312870627075094188477505571882161519989741
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), 0.05, tolerance);
+
+    // Quantile of complement.
+    // N[1-CDF[arcsinedistribution[0, 1], 0.05], 50] == 0.85643370687129372924905811522494428117838480010259
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), 0.05, tolerance * 2);
+    // N[sin^2[0.75 * pi/2],50] == 0.85355339059327376220042218105242451964241796884424
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.25L))), static_cast<RealType>(0.85355339059327376220042218105242451964241796884424L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.5L))), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.75L))), static_cast<RealType>(0.14644660940672623779957781894757548035758203115576L), 2 * tolerance); // Less accurate.
+
+    // N[CDF[arcsinedistribution[0, 1], 0.25], 5
+    // 0.33333333333333333333333333333333333333333333333333
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(1) / 3), static_cast<RealType>(0.25L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(2) / 3), static_cast<RealType>(0.75L), tolerance);
+
+    // Arcsine(-1, +1)    xmin = -1, x_max = +1  symmetric about zero.
+    arcsine_distribution<RealType> as_m11(-1, +1);
+
+    BOOST_CHECK_EQUAL(as_m11.x_min(), -1); //
+    BOOST_CHECK_EQUAL(as_m11.x_max(), +1);
+    BOOST_CHECK_EQUAL(mean(as_m11), 0); //
+    BOOST_CHECK_EQUAL(median(as_m11), 0); //
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as_m11), one_div_root_two<RealType>(),  tolerance * 2); //
+
+    BOOST_CHECK_EQUAL(variance(as_m11), 0.5); // 1 - (-1) = 2 ^ 2 = 4 /8 = 0.5
+    BOOST_CHECK_EQUAL(skewness(as_m11), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m11), -1.5); // 3/2
+
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.05), static_cast<RealType>(0.31870852113797122803869876869296281629727218095644L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.5), static_cast<RealType>(0.36755259694786136634088433220864629426492432024443L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.95), static_cast<RealType>(1.0194074882503562519812229448639426942621591013381L), 2 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.05), static_cast<RealType>(0.51592213323666034437274347433261364289389772737836L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.5), static_cast<RealType>(0.66666666666666666666666666666666666666666666666667L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.95), static_cast<RealType>(0.89891737589574013042121018491729701360300248368629L), tolerance); //  Not less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(1) / 3), -static_cast<RealType>(0.5L), 2 * tolerance); // p = 1/3 x = -0.5
+    BOOST_CHECK_SMALL(quantile(as_m11, static_cast<RealType>(0.5L)), 2 * tolerance);                             // p = 0.5, x = 0
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(2) / 3), +static_cast<RealType>(0.5L), 4 * tolerance);     // p = 2/3, x = +0.5
+
+    //  Loop back tests.
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.05), // Random variate  x
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L),  // Complement of CDF Q = 1 - P
+      tolerance); // Test tolerance.
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.95), // Random variate  x
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance (slightly inceased compared to x < 0.5 above).
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Random variate  x
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(static_cast<RealType>(0.5L)),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance.
+
+    // Arcsine(-2, -1) xmin = -2, x_max = -1  - Asymmetric both negative.
+    arcsine_distribution<RealType> as_m2m1(-2, -1);
+
+    BOOST_CHECK_EQUAL(as_m2m1.x_min(), -2); //
+    BOOST_CHECK_EQUAL(as_m2m1.x_max(), -1);
+    BOOST_CHECK_EQUAL(mean(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as_m2m1), 0.125);
+    BOOST_CHECK_EQUAL(skewness(as_m2m1), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m2m1), -1.5); // 3/2
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.05), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.5), static_cast<RealType>(0.5L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.95), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); //  Not much less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L)), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), -static_cast<RealType>(1.95L), 4 * tolerance);     //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L))), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), -static_cast<RealType>(1.95L), 4 * tolerance);
+
+    // Tests that should throw:
+    BOOST_MATH_CHECK_THROW(mode(arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1))), std::domain_error);
+    // mode is undefined, and must throw domain_error!
+
+
+    BOOST_MATH_CHECK_THROW( // For various bad arguments.
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(+1), static_cast<RealType>(-1)), // min_x > max_x
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(0)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(-1)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // equal constructor parameters.
+      static_cast<RealType>(-1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1)), // bad x > 1.
+      static_cast<RealType>(999)), std::domain_error);
+
+    // Checks on things that are errors.
+
+    // Construction with 'bad' parameters.
+    BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(+1, -1), std::domain_error); // max < min.
+    BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(+1, 0), std::domain_error);  // max < min.
+
+    arcsine_distribution<> dist;
+    BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+    // Various combinations of bad contructor and member function parameters.
+    BOOST_MATH_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(0, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(-1, 1), +2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), 2), std::domain_error);
+
+    // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Attempt to construct from non-finite parameters should throw.
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(nan, 1), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(nan, 1), std::domain_error);
+#endif
+
+      arcsine_distribution<RealType> w(RealType(-1), RealType(+1));
+      // NaN parameters to member functions should throw.
+      BOOST_MATH_CHECK_THROW(pdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(complement(w, +nan)), std::domain_error); // x = + nan
+      BOOST_MATH_CHECK_THROW(quantile(w, +nan), std::domain_error); // p = + nan
+      BOOST_MATH_CHECK_THROW(quantile(complement(w, +nan)), std::domain_error); // p = + nan
+    } // has_quiet_NaN
+
+    if (std::numeric_limits<RealType>::has_infinity)
+    {
+      // Attempt to construct from non-finite should throw.
+      RealType inf = std::numeric_limits<RealType>::infinity();
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, inf), std::domain_error);
+#endif
+      // Infinite parameters to member functions should throw.
+      arcsine_distribution<RealType> w(RealType(0), RealType(1));
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, inf), std::domain_error);
+#endif
+      BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+      BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+      BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+      BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+      BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+    } // has_infinity
+
+    // Error handling checks:
+    check_out_of_range<boost::math::arcsine_distribution<RealType> >(-1, +1); // (All) valid constructor parameter values.
+    // and range and non-finite.
+
+    test_ignore_policy(static_cast<RealType>(0));
+
+  } // template <class RealType>void test_spots(RealType)
+
+  BOOST_AUTO_TEST_CASE(test_main)
+  {
+    BOOST_MATH_CONTROL_FP;
+
+    // Check that can generate arcsine distribution using convenience method:
+    using boost::math::arcsine;
+
+    arcsine_distribution<> arcsine_01; // Using default RealType double.
+    // Note: NOT arcsine01() - or compiler will assume a function.
+
+    arcsine as; // Using typedef for default standard arcsine.
+
+    //
+    BOOST_CHECK_EQUAL(as.x_min(), 0); //
+    BOOST_CHECK_EQUAL(as.x_max(), 1);
+    BOOST_CHECK_EQUAL(mean(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as), 0.125); //0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as), one_div_root_two<double>() / 2, std::numeric_limits<double>::epsilon()); // 0.353553
+    BOOST_CHECK_EQUAL(skewness(as), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(as).first, 0); //
+    BOOST_CHECK_EQUAL(range(as).first, 0); //
+    BOOST_MATH_CHECK_THROW(mode(as), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // (Parameter value, arbitrarily zero, only communicates the floating point type).
+    test_spots(0.0F); // Test float.
+    test_spots(0.0); // Test double.
+    #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      test_spots(0.0L); // Test long double.
+      #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+        test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+      #endif
+    #endif
+  /*    */
+  } // BOOST_AUTO_TEST_CASE( test_main )
+
+  /*
+
+
+Microsoft Visual Studio Professional 2013
+Version 12.0.30110.00 Update 1
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0  ???? MSVC says 2013
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+
+  Sample Output is:
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+  1>  tolerance = 2.38419e-007
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>
+  1>  *** No errors detected
+
+  GCC 4.9.1
+
+  Running 1 test case...
+  tolerance = 2.38419e-007
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+
+  *** No errors detected
+
+  RUN SUCCESSFUL (total time: 141ms)
+
+  */
diff --git a/src/boost/libs/math/test/test_autodiff.hpp b/src/boost/libs/math/test/test_autodiff.hpp
new file mode 100644
index 00000000..6970102d
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff.hpp
@@ -0,0 +1,225 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_AUTODIFF_HPP
+#define BOOST_MATH_TEST_AUTODIFF_HPP
+
+#ifndef BOOST_TEST_MODULE
+#define BOOST_TEST_MODULE test_autodiff
+#endif
+
+#ifndef BOOST_ALLOW_DEPRECATED_HEADERS
+#define BOOST_ALLOW_DEPRECATED_HEADERS // artifact of sp_typeinfo.hpp inclusion from unit_test.hpp
+#endif
+
+#include <boost/math/tools/config.hpp>
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/mp11/function.hpp>
+#include <boost/mp11/integral.hpp>
+#include <boost/mp11/list.hpp>
+#include <boost/mp11/utility.hpp>
+#include <boost/range/irange.hpp>
+#include <boost/test/included/unit_test.hpp>
+
+#include <algorithm>
+#include <cfenv>
+#include <cstdlib>
+#include <random>
+
+namespace mp11 = boost::mp11;
+namespace bmp = boost::multiprecision;
+
+#if defined(BOOST_USE_VALGRIND) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+using bin_float_types = mp11::mp_list<float>;
+#else
+using bin_float_types = mp11::mp_list<float, double, long double>;
+#endif
+
+// cpp_dec_float_50 cannot be used with close_at_tolerance
+/*using multiprecision_float_types =
+    mp_list<bmp::cpp_dec_float_50, bmp::cpp_bin_float_50>;*/
+
+#if !defined(BOOST_VERSION) || BOOST_VERSION < 107000 || defined(BOOST_USE_VALGRIND) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) || defined(BOOST_NO_STRESS_TEST)
+using multiprecision_float_types = mp11::mp_list<>;
+#else
+#define BOOST_AUTODIFF_TESTING_INCLUDE_MULTIPRECISION
+using multiprecision_float_types = mp11::mp_list<bmp::cpp_bin_float_50>;
+#endif
+
+using all_float_types = mp11::mp_append<bin_float_types, multiprecision_float_types>;
+
+using namespace boost::math::differentiation;
+
+namespace test_detail {
+template <typename T>
+using is_multiprecision_t =
+    mp11::mp_or<bmp::is_number<T>, bmp::is_number_expression<T>>;
+
+template<bool IfValue, typename ThenType, typename ElseType>
+using if_c = mp11::mp_eval_if_c<IfValue, ThenType, mp11::mp_identity_t, ElseType>;
+
+template<typename IfType, typename ThenType, typename ElseType>
+using if_t = if_c<IfType::value, ThenType, ElseType>;
+
+/**
+ * Simple struct to hold constants that are used in each test
+ * since BOOST_AUTO_TEST_CASE_TEMPLATE doesn't support fixtures.
+ */
+template <typename T, std::size_t OrderValue>
+struct test_constants_t {
+  static constexpr auto n_samples = if_t<mp11::mp_or<bmp::is_number<T>, bmp::is_number_expression<T>>, mp11::mp_int<10>, mp11::mp_int<25>>::value;
+  static constexpr auto order = OrderValue;
+  static constexpr T pct_epsilon() BOOST_NOEXCEPT {
+    return (is_multiprecision_t<T>::value ? 2 : 1) * std::numeric_limits<T>::epsilon() * 100;
+  }
+};
+
+/**
+ * struct to emit pseudo-random values from a given interval.
+ * Endpoints are closed or open depending on whether or not they're infinite).
+ */
+
+template <typename T>
+struct RandomSample {
+  using numeric_limits_t = std::numeric_limits<T>;
+  using is_integer_t = mp11::mp_bool<std::numeric_limits<T>::is_integer>;
+
+  using distribution_param_t = if_t<
+      is_multiprecision_t<T>,
+      if_t<is_integer_t,
+                  if_c<numeric_limits_t::is_signed, int64_t, uint64_t>,
+                  long double>,
+      T>;
+  static_assert((std::numeric_limits<T>::is_integer &&
+                 std::numeric_limits<distribution_param_t>::is_integer) ||
+                    (!std::numeric_limits<T>::is_integer &&
+                     !std::numeric_limits<distribution_param_t>::is_integer),
+                "T and distribution_param_t must either both be integral or "
+                "both be not integral");
+
+  using dist_t = if_t<is_integer_t,
+  std::uniform_int_distribution<distribution_param_t>,
+  std::uniform_real_distribution<distribution_param_t>>;
+
+  struct get_integral_endpoint {
+    template <typename V>
+    constexpr distribution_param_t operator()(V finish) const noexcept {
+      return static_cast<distribution_param_t>(finish);
+    }
+  };
+
+  struct get_real_endpoint {
+    template <typename V>
+    constexpr distribution_param_t operator()(V finish) const noexcept {
+      return std::nextafter(static_cast<distribution_param_t>(finish),
+                            (std::numeric_limits<distribution_param_t>::max)());
+    }
+  };
+
+  using get_endpoint_t = if_t<is_integer_t, get_integral_endpoint, get_real_endpoint>;
+
+  template <typename U, typename V>
+  RandomSample(U start, V finish)
+      : rng_(std::random_device{}()),
+        dist_(static_cast<distribution_param_t>(start),
+              get_endpoint_t{}(finish)) {}
+
+  T next() noexcept { return static_cast<T>(dist_(rng_)); }
+  T normalize(const T& x) noexcept {
+    return x / ((dist_.max)() - (dist_.min)());
+  }
+
+  std::mt19937 rng_;
+  dist_t dist_;
+};
+static_assert(std::is_same<RandomSample<float>::dist_t,
+                           std::uniform_real_distribution<float>>::value,
+              "");
+static_assert(std::is_same<RandomSample<int64_t>::dist_t,
+                           std::uniform_int_distribution<int64_t>>::value,
+              "");
+static_assert(std::is_same<RandomSample<bmp::uint512_t>::dist_t,
+                           std::uniform_int_distribution<uint64_t>>::value,
+              "");
+static_assert(std::is_same<RandomSample<bmp::cpp_bin_float_50>::dist_t,
+                           std::uniform_real_distribution<long double>>::value,
+              "");
+
+}  // namespace test_detail
+
+template<typename T>
+auto isNearZero(const T& t) noexcept -> typename std::enable_if<!detail::is_fvar<T>::value, bool>::type
+{
+  using std::sqrt;
+  using bmp::sqrt;
+  using detail::sqrt;
+  using std::fabs;
+  using bmp::fabs;
+  using detail::fabs;
+  using boost::math::fpclassify;
+  using std::sqrt;
+  return fpclassify(fabs(t)) == FP_ZERO || fpclassify(fabs(t)) == FP_SUBNORMAL || boost::math::fpc::is_small(fabs(t), sqrt(std::numeric_limits<T>::epsilon()));
+}
+
+template<typename T>
+auto isNearZero(const T& t) noexcept -> typename std::enable_if<detail::is_fvar<T>::value, bool>::type
+{
+  using root_type = typename T::root_type;
+  return isNearZero(static_cast<root_type>(t));
+}
+
+template <typename T, std::size_t Order = 5>
+using test_constants_t = test_detail::test_constants_t<T, Order>;
+
+template <typename W, typename X, typename Y, typename Z>
+promote<W, X, Y, Z> mixed_partials_f(const W& w, const X& x, const Y& y,
+                                     const Z& z) {
+
+  return exp(w * sin(x * log(y) / z) + sqrt(w * z / (x * y))) + w * w / tan(z);
+}
+
+// Equations and function/variable names are from
+// https://en.wikipedia.org/wiki/Greeks_(finance)#Formulas_for_European_option_Greeks
+//
+// Standard normal probability density function
+template <typename T>
+T phi(const T& x) {
+  return boost::math::constants::one_div_root_two_pi<T>() * exp(-0.5 * x * x);
+}
+
+// Standard normal cumulative distribution function
+template <typename T>
+T Phi(const T& x) {
+  return 0.5 * erfc(-boost::math::constants::one_div_root_two<T>() * x);
+}
+
+enum class CP { call, put };
+
+// Assume zero annual dividend yield (q=0).
+template <typename Price, typename Sigma, typename Tau, typename Rate>
+promote<Price, Sigma, Tau, Rate> black_scholes_option_price(CP cp, double K,
+                                                            const Price& S,
+                                                            const Sigma& sigma,
+                                                            const Tau& tau,
+                                                            const Rate& r) {
+  const auto d1 =
+      (log(S / K) + (r + sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  const auto d2 =
+      (log(S / K) + (r - sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  if (cp == CP::call) {
+    return S * Phi(d1) - exp(-r * tau) * K * Phi(d2);
+  }
+  return exp(-r * tau) * K * Phi(-d2) - S * Phi(-d1);
+}
+
+template <typename T>
+T uncast_return(const T& x) {
+  return x == 0 ? 0 : 1;
+}
+
+#endif  // BOOST_MATH_TEST_AUTODIFF_HPP
diff --git a/src/boost/libs/math/test/test_autodiff_1.cpp b/src/boost/libs/math/test/test_autodiff_1.cpp
new file mode 100644
index 00000000..9417d78b
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_1.cpp
@@ -0,0 +1,695 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_1)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(constructors, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  // Verify value-initialized instance has all 0 entries.
+  const autodiff_fvar<T, m> empty1 = autodiff_fvar<T, m>();
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(empty1.derivative(i), 0);
+  }
+  const auto empty2 = autodiff_fvar<T, m, n>();
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(empty2.derivative(i, j), 0);
+    }
+  }
+  // Single variable
+  const T cx = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  for (auto i : boost::irange(m + 1)) {
+    if (i == 0u) {
+      BOOST_CHECK_EQUAL(x.derivative(i), cx);
+    } else if (i == 1) {
+      BOOST_CHECK_EQUAL(x.derivative(i), 1);
+    } else {
+      BOOST_CHECK_EQUAL(x.derivative(i), 0);
+    }
+  }
+  const autodiff_fvar<T, n> xn = x;
+  for (auto i : boost::irange(n + 1)) {
+    if (i == 0) {
+      BOOST_CHECK_EQUAL(xn.derivative(i), cx);
+    } else if (i == 1) {
+      BOOST_CHECK_EQUAL(xn.derivative(i), 1);
+    } else {
+      BOOST_CHECK_EQUAL(xn.derivative(i), 0);
+    }
+  }
+  // Second independent variable
+  const T cy = 100.0;
+  const auto y = make_fvar<T, m, n>(cy);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), cy);
+      } else if (i == 0 && j == 1) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(implicit_constructors, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const autodiff_fvar<T, m> x = 3;
+  const autodiff_fvar<T, m> one = uncast_return(x);
+  const autodiff_fvar<T, m> two_and_a_half = 2.5;
+  BOOST_CHECK_EQUAL(static_cast<T>(x), 3.0);
+  BOOST_CHECK_EQUAL(static_cast<T>(one), 1.0);
+  BOOST_CHECK_EQUAL(static_cast<T>(two_and_a_half), 2.5);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 10.0;
+  autodiff_fvar<T, m, n>
+      empty; // Uninitialized variable<> may have non-zero values.
+  // Single variable
+  auto x = make_fvar<T, m>(cx);
+  empty = static_cast<decltype(empty)>(
+      x); // Test static_cast of single-variable to double-variable type.
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+  auto y = make_fvar<T, m, n>(cy);
+  empty = y; // default assignment operator
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cy);
+      } else if (i == 0 && j == 1) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+  empty = cx; // set a constant
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cx);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ostream, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const T cx = 10;
+  const auto x = make_fvar<T, m>(cx);
+  std::ostringstream ss;
+  ss << "x = " << x;
+  BOOST_CHECK_EQUAL(ss.str(), "x = depth(1)(10,1,0,0)");
+  ss.str(std::string());
+  const auto scalar = make_fvar<T,0>(cx);
+  ss << "scalar = " << scalar;
+  BOOST_CHECK_EQUAL(ss.str(), "scalar = depth(1)(10)");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(addition_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto sum = autodiff_fvar<T, m, n>(); // zero-initialized
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  sum += x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  sum = 0;
+  sum += cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), cy);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtraction_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto sum = autodiff_fvar<T, m, n>(); // zero-initialized
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  sum -= x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -1.0);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  sum = 0;
+  sum -= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -cy);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiplication_assignment, T, all_float_types) {
+  // Try explicit bracing based on feedback. Doesn't add very much except 26
+  // extra lines.
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto product = autodiff_fvar<T, m, n>(1); // unit constant
+  // Single variable
+  auto x = make_fvar<T, m>(cx);
+  product *= x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  product = 1;
+  product *= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), cy);
+      } else {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // 0 * inf = nan
+  x = make_fvar<T, m>(0.0);
+  x *= std::numeric_limits<T>::infinity();
+  // std::cout << "x = " << x << std::endl;
+  for (auto i : boost::irange(m + 1)) {
+    if (i == 0) {
+      BOOST_CHECK(boost::math::isnan(static_cast<T>(x))); // Correct
+      // BOOST_CHECK_EQUAL(x.derivative(i) == 0.0); // Wrong. See
+      // multiply_assign_by_root_type().
+    } else if (i == 1) {
+      BOOST_CHECK(boost::math::isinf(x.derivative(i)));
+    } else {
+      BOOST_CHECK_EQUAL(x.derivative(i), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(division_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  auto quotient = autodiff_fvar<T, m, n>(1); // unit constant
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  quotient /= x;
+  BOOST_CHECK_EQUAL(quotient.derivative(0, 0), 1 / cx);
+  BOOST_CHECK_EQUAL(quotient.derivative(1, 0), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(quotient.derivative(2, 0), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(quotient.derivative(3, 0), -6 / pow(cx, 4));
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(std::size_t(1), n + 1)) {
+      BOOST_CHECK_EQUAL(quotient.derivative(i, j), 0.0);
+    }
+  }
+  // Arithmetic constant
+  const T cy = 32.0;
+  quotient = 1;
+  quotient /= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(quotient.derivative(i, j), 1 / cy);
+      } else {
+        BOOST_CHECK_EQUAL(quotient.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(unary_signs, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  autodiff_fvar<T, m, n> lhs;
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  lhs = static_cast<decltype(lhs)>(-x);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), -cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), -1.0);
+      } else {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 0.0);
+      }
+    }
+  }
+  lhs = static_cast<decltype(lhs)>(+x);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+// TODO 3 tests for 3 operator+() definitions.
+BOOST_AUTO_TEST_CASE_TEMPLATE(cast_double, T, all_float_types) {
+  const T ca(13);
+  const T i(12);
+  constexpr std::size_t m = 3;
+  const auto x = make_fvar<T, m>(ca);
+  BOOST_CHECK_LT(i, x);
+  BOOST_CHECK_EQUAL(i * x, i * ca);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(int_double_casting, T, all_float_types) {
+  const T ca = 3.0;
+  const auto x0 = make_fvar<T, 0>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x0), ca);
+  const auto x1 = make_fvar<T, 1>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x1), ca);
+  const auto x2 = make_fvar<T, 2>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x2), ca);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(scalar_addition, T, all_float_types) {
+  const T ca = 3.0;
+  const T cb = 4.0;
+  const auto sum0 = autodiff_fvar<T, 0>(ca) + autodiff_fvar<T, 0>(cb);
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum0));
+  const auto sum1 = autodiff_fvar<T, 0>(ca) + cb;
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum1));
+  const auto sum2 = ca + autodiff_fvar<T, 0>(cb);
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum2));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(power8, T, all_float_types) {
+  constexpr std::size_t n = 8u;
+  const T ca = 3.0;
+  auto x = make_fvar<T, n>(ca);
+  // Test operator*=()
+  x *= x;
+  x *= x;
+  x *= x;
+  const T power_factorial = boost::math::factorial<T>(n);
+  for (auto i : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(
+        static_cast<T>(x.derivative(i)),
+        static_cast<T>(power_factorial /
+                       boost::math::factorial<T>(static_cast<unsigned>(n - i)) *
+                       pow(ca, n - i)),
+        std::numeric_limits<T>::epsilon());
+  }
+  x = make_fvar<T, n>(ca);
+  // Test operator*()
+  x = x * x * x * x * x * x * x * x;
+  for (auto i : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(
+        x.derivative(i),
+        power_factorial /
+            boost::math::factorial<T>(static_cast<unsigned>(n - i)) *
+            pow(ca, n - i),
+        std::numeric_limits<T>::epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim1_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cy = 4.0;
+  auto y0 = make_fvar<T, m>(cy);
+  auto y = make_fvar<T, n>(cy);
+  y *= y0;
+  BOOST_CHECK_EQUAL(y.derivative(0), cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(1), 2 * cy);
+  BOOST_CHECK_EQUAL(y.derivative(2), 2.0);
+  BOOST_CHECK_EQUAL(y.derivative(3), 0.0);
+  y = y * cy;
+  BOOST_CHECK_EQUAL(y.derivative(0), cy * cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(1), 2 * cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(2), 2.0 * cy);
+  BOOST_CHECK_EQUAL(y.derivative(3), 0.0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim1and2_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cx = 3.0;
+  const T cy = 4.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = make_fvar<T, m, n>(cy);
+  y *= x;
+  BOOST_CHECK_EQUAL(y.derivative(0, 0), cx * cy);
+  BOOST_CHECK_EQUAL(y.derivative(0, 1), cx);
+  BOOST_CHECK_EQUAL(y.derivative(1, 0), cy);
+  BOOST_CHECK_EQUAL(y.derivative(1, 1), 1.0);
+  for (auto i : boost::irange(std::size_t(1), m)) {
+    for (auto j : boost::irange(std::size_t(1), n)) {
+      if (i == 1 && j == 1) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_addition, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cx = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  BOOST_CHECK_EQUAL(x.derivative(0), cx);
+  BOOST_CHECK_EQUAL(x.derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(x.derivative(2), 0.0);
+  const T cy = 4.0;
+  const auto y = make_fvar<T, m, n>(cy);
+  BOOST_CHECK_EQUAL(static_cast<T>(y.derivative(0)), cy);
+  BOOST_CHECK_EQUAL(static_cast<T>(y.derivative(1)),
+                    0.0); // partial of y w.r.t. x.
+
+  BOOST_CHECK_EQUAL(y.derivative(0, 0), cy);
+  BOOST_CHECK_EQUAL(y.derivative(0, 1), 1.0);
+  BOOST_CHECK_EQUAL(y.derivative(1, 0), 0.0);
+  BOOST_CHECK_EQUAL(y.derivative(1, 1), 0.0);
+  const auto z = x + y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx + cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 0.0);
+  // The following 4 are unnecessarily more expensive than the previous 4.
+  BOOST_CHECK_EQUAL(z.derivative(0).derivative(0), cx + cy);
+  BOOST_CHECK_EQUAL(z.derivative(0).derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1).derivative(0), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1).derivative(1), 0.0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 6.0;
+  const auto x = make_fvar<T, m>(cx);
+  const T cy = 5.0;
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = x * x * y * y * y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx * cy * cy * cy); // x^2 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), cx * cx * 3 * cy * cy);  // x^2 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), cx * cx * 6 * cy);       // x^2 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), cx * cx * 6);            // x^2 * 6
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), 0.0);                    // x^2 * 0
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx * cy * cy * cy);  // 2x * y^3
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 2 * cx * 3 * cy * cy);   // 2x * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(1, 2), 2 * cx * 6 * cy);        // 2x * 6y
+  BOOST_CHECK_EQUAL(z.derivative(1, 3), 2 * cx * 6);             // 2x * 6
+  BOOST_CHECK_EQUAL(z.derivative(1, 4), 0.0);                    // 2x * 0
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2 * cy * cy * cy);       // 2 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(2, 1), 2 * 3 * cy * cy);        // 2 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(2, 2), 2 * 6 * cy);             // 2 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(2, 3), 2 * 6);                  // 2 * 6
+  BOOST_CHECK_EQUAL(z.derivative(2, 4), 0.0);                    // 2 * 0
+  BOOST_CHECK_EQUAL(z.derivative(3, 0), 0.0);                    // 0 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(3, 1), 0.0);                    // 0 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(3, 2), 0.0);                    // 0 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(3, 3), 0.0);                    // 0 * 6
+  BOOST_CHECK_EQUAL(z.derivative(3, 4), 0.0);                    // 0 * 0
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_multiplication_and_subtraction, T,
+                              all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 6.0;
+  const auto x = make_fvar<T, m>(cx);
+  const T cy = 5.0;
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = x * x - y * y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx - cy * cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), -2 * cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), -2.0);
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), 0.0);
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), 0.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx);
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2.0);
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(std::size_t(1), n + 1)) {
+      BOOST_CHECK_EQUAL(z.derivative(i, j), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(inverse, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const T cx = 4.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto xinv = x.inverse();
+  BOOST_CHECK_EQUAL(xinv.derivative(0), 1 / cx);
+  BOOST_CHECK_EQUAL(xinv.derivative(1), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(xinv.derivative(2), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(xinv.derivative(3), -6 / pow(cx, 4));
+  const auto zero = make_fvar<T, m>(0);
+  const auto inf = zero.inverse();
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(inf.derivative(i),
+                      (i % 2 == 1 ? -1 : 1) *
+                          std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(division, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  auto x = make_fvar<T, m>(cx);
+  const T cy = 4.0;
+  auto y = make_fvar<T, 1, n>(cy);
+  auto z = x * x / (y * y);
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx / (cy * cy)); // x^2 * y^-2
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), cx * cx * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), cx * cx * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), cx * cx * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), cx * cx * (120) * pow(cy, -6));
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx / (cy * cy));
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 2 * cx * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(1, 2), 2 * cx * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(1, 3), 2 * cx * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(1, 4), 2 * cx * (120) * pow(cy, -6));
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2 / (cy * cy));
+  BOOST_CHECK_EQUAL(z.derivative(2, 1), 2 * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(2, 2), 2 * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(2, 3), 2 * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(2, 4), 2 * (120) * pow(cy, -6));
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_EQUAL(z.derivative(3, j), 0.0);
+  }
+
+  auto x1 = make_fvar<T, m>(cx);
+  auto z1 = x1 / cy;
+  BOOST_CHECK_EQUAL(z1.derivative(0), cx / cy);
+  BOOST_CHECK_EQUAL(z1.derivative(1), 1 / cy);
+  BOOST_CHECK_EQUAL(z1.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(z1.derivative(3), 0.0);
+  auto y2 = make_fvar<T, m, n>(cy);
+  auto z2 = cx / y2;
+  BOOST_CHECK_EQUAL(z2.derivative(0, 0), cx / cy);
+  BOOST_CHECK_EQUAL(z2.derivative(0, 1), -cx / pow(cy, 2));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 2), 2 * cx / pow(cy, 3));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 3), -6 * cx / pow(cy, 4));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 4), 24 * cx / pow(cy, 5));
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(z2.derivative(i, j), 0.0);
+    }
+  }
+
+  const auto z3 = y / x;
+  BOOST_CHECK_EQUAL(z3.derivative(0, 0), cy / cx);
+  BOOST_CHECK_EQUAL(z3.derivative(0, 1), 1 / cx);
+  BOOST_CHECK_EQUAL(z3.derivative(1, 0), -cy / pow(cx, 2));
+  BOOST_CHECK_EQUAL(z3.derivative(1, 1), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(z3.derivative(2, 0), 2 * cy / pow(cx, 3));
+  BOOST_CHECK_EQUAL(z3.derivative(2, 1), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(z3.derivative(3, 0), -6 * cy / pow(cx, 4));
+  BOOST_CHECK_EQUAL(z3.derivative(3, 1), -6 / pow(cx, 4));
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(std::size_t(2), n + 1)) {
+      BOOST_CHECK_EQUAL(z3.derivative(i, j), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equality, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_EQUAL(x, y);
+  BOOST_CHECK_EQUAL(x, cy);
+  BOOST_CHECK_EQUAL(cx, y);
+  BOOST_CHECK_EQUAL(cy, x);
+  BOOST_CHECK_EQUAL(y, cx);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(inequality, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_NE(x, y);
+  BOOST_CHECK_NE(x, cy);
+  BOOST_CHECK_NE(cx, y);
+  BOOST_CHECK_NE(cy, x);
+  BOOST_CHECK_NE(y, cx);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(less_than_or_equal_to, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_LE(x, y);
+  BOOST_CHECK_LE(x, y - 1);
+  BOOST_CHECK_LT(x, y);
+  BOOST_CHECK_LE(x, cy);
+  BOOST_CHECK_LE(x, cy - 1);
+  BOOST_CHECK_LT(x, cy);
+  BOOST_CHECK_LE(cx, y);
+  BOOST_CHECK_LE(cx, y - 1);
+  BOOST_CHECK_LT(cx, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(greater_than_or_equal_to, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 11.0;
+  const T cy = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_GE(x, y);
+  BOOST_CHECK_GE(x, y + 1);
+  BOOST_CHECK_GT(x, y);
+  BOOST_CHECK_GE(x, cy);
+  BOOST_CHECK_GE(x, cy + 1);
+  BOOST_CHECK_GT(x, cy);
+  BOOST_CHECK_GE(cx, y);
+  BOOST_CHECK_GE(cx, y + 1);
+  BOOST_CHECK_GT(cx, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fabs_test, T, all_float_types) {
+  using bmp::fabs;
+  using detail::fabs;
+  using std::fabs;
+  constexpr std::size_t m = 3;
+  const T cx = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  auto a = fabs(x);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  a = fabs(-x);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), 1.0); // fabs(-x) = fabs(x)
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  const auto xneg = make_fvar<T, m>(-cx);
+  a = fabs(xneg);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), -1.0);
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  const auto zero = make_fvar<T, m>(0);
+  a = fabs(zero);
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(a.derivative(i), 0.0);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ceil_and_floor, T, all_float_types) {
+  using bmp::ceil;
+  using bmp::floor;
+  using std::ceil;
+  using std::floor;
+  constexpr std::size_t m = 3;
+  T tests[]{-1.5, 0.0, 1.5};
+  for (T &test : tests) {
+    const auto x = make_fvar<T, m>(test);
+    auto c = ceil(x);
+    auto f = floor(x);
+    BOOST_CHECK_EQUAL(c.derivative(0), ceil(test));
+    BOOST_CHECK_EQUAL(f.derivative(0), floor(test));
+    for (auto i : boost::irange(std::size_t(1), m + 1)) {
+      BOOST_CHECK_EQUAL(c.derivative(i), 0.0);
+      BOOST_CHECK_EQUAL(f.derivative(i), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_2.cpp b/src/boost/libs/math/test/test_autodiff_2.cpp
new file mode 100644
index 00000000..378a9bb1
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_2.cpp
@@ -0,0 +1,512 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_2)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(one_over_one_plus_x_squared, T, all_float_types) {
+  constexpr std::size_t m = 4;
+  const T cx(1);
+  auto f = make_fvar<T, m>(cx);
+  // f = 1 / ((f *= f) += 1);
+  f *= f;
+  f += T(1);
+  f = f.inverse();
+  BOOST_CHECK_EQUAL(f.derivative(0u), 0.5);
+  BOOST_CHECK_EQUAL(f.derivative(1u), -0.5);
+  BOOST_CHECK_EQUAL(f.derivative(2u), 0.5);
+  BOOST_CHECK_EQUAL(f.derivative(3u), 0);
+  BOOST_CHECK_EQUAL(f.derivative(4u), -3);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(exp_test, T, all_float_types) {
+  using std::exp;
+  constexpr std::size_t m = 4;
+  const T cx = 2.0;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = exp(x);
+  for (auto i : boost::irange(m + 1)) {
+    // std::cout.precision(100);
+    // std::cout << "y.derivative("<<i<<") = " << y.derivative(i) << ",
+    // std::exp(cx) = " << std::exp(cx) << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(y.derivative(i), exp(cx),
+                               std::numeric_limits<T>::epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow, T, bin_float_types) {
+  const T eps = 201 * std::numeric_limits<T>::epsilon(); // percent
+  using std::log;
+  using std::pow;
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 4;
+  const T cx = 2.0;
+  const T cy = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, m, n>(cy);
+  auto z0 = pow(x, cy);
+  BOOST_CHECK_EQUAL(z0.derivative(0u), pow(cx, cy));
+  BOOST_CHECK_EQUAL(z0.derivative(1u), cy * pow(cx, cy - 1));
+  BOOST_CHECK_EQUAL(z0.derivative(2u), cy * (cy - 1) * pow(cx, cy - 2));
+  BOOST_CHECK_EQUAL(z0.derivative(3u),
+                    cy * (cy - 1) * (cy - 2) * pow(cx, cy - 3));
+  BOOST_CHECK_EQUAL(z0.derivative(4u), 0u);
+  BOOST_CHECK_EQUAL(z0.derivative(5u), 0u);
+  auto z1 = pow(cx, y);
+  BOOST_CHECK_CLOSE(z1.derivative(0u, 0u), pow(cx, cy), eps);
+  for (auto j : boost::irange(std::size_t(1), n + 1)) {
+    BOOST_CHECK_CLOSE(z1.derivative(0u, j), pow(log(cx), j) * pow(cx, cy), eps);
+  }
+
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(z1.derivative(i, j), 0);
+    }
+  }
+
+  const auto z2 = pow(x, y);
+
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(0u, j), pow(cx, cy) * pow(log(cx), j), eps);
+  }
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(1u, j),
+                      pow(cx, cy - 1) * pow(log(cx), static_cast<int>(j) - 1) *
+                          (cy * log(cx) + j),
+                      eps);
+  }
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 0u), pow(cx, cy - 2) * cy * (cy - 1),
+                    eps);
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 1u),
+                    pow(cx, cy - 2) * (cy * (cy - 1) * log(cx) + 2 * cy - 1),
+                    eps);
+  for (auto j : boost::irange(std::size_t(2u), n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(2u, j),
+                      pow(cx, cy - 2) * pow(log(cx), j - 2) *
+                          (j * (2 * cy - 1) * log(cx) + (j - 1) * j +
+                           (cy - 1) * cy * pow(log(cx), 2)),
+                      eps);
+  }
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 4u),
+                    pow(cx, cy - 2) * pow(log(cx), 2) *
+                        (4 * (2 * cy - 1) * log(cx) + (4 - 1) * 4 +
+                         (cy - 1) * cy * pow(log(cx), 2)),
+                    eps);
+}
+
+// TODO Tests around x=0 or y=0: pow(x,y)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, T, bin_float_types) {
+  const T eps = 4000 * std::numeric_limits<T>::epsilon(); // percent
+  using std::pow;
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 5;
+  const T cx = 2;
+  const T cy = 5 / 2.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = pow(x, y);
+  using namespace boost::math::constants;
+  // Mathematica: Export["pow.csv", Flatten@Table[ Simplify@D[x^y,{x,i},{y,j}]
+  // /. {x->2, y->5/2},
+  //                    { i, 0, 5 }, { j, 0, 5 } ] ]
+  // sed -rf pow.sed < pow.csv
+  // with pow.sed script:
+  // s/Log\[2\]\^([0-9]+)/pow(ln_two<T>(),\1)/g
+  // s/Log\[2\]/ln_two<T>()/g
+  // s/Sqrt\[2\]/root_two<T>()/g
+  // s/[0-9]\/[0-9]+/\0.0/g
+  // s/^"/static_cast<T>(/
+  // s/"$/),/
+  const T mathematica[]{
+      static_cast<T>(4 * root_two<T>()),
+      static_cast<T>(4 * root_two<T>() * ln_two<T>()),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 2)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 3)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 4)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 5)),
+      static_cast<T>(5 * root_two<T>()),
+      static_cast<T>(2 * root_two<T>() * (1 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * ln_two<T>() *
+                     (2 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 2) *
+                     (3 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 3) *
+                     (4 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 4) *
+                     (5 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(15 / (2 * root_two<T>())),
+      static_cast<T>(root_two<T>() * (4 + (15 * ln_two<T>()) / 4)),
+      static_cast<T>(root_two<T>() *
+                     (2 + 8 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * ln_two<T>() *
+                     (6 + 12 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * pow(ln_two<T>(), 2) *
+                     (12 + 16 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * pow(ln_two<T>(), 3) *
+                     (20 + 20 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(15 / (8 * root_two<T>())),
+      static_cast<T>((23 / 4.0 + (15 * ln_two<T>()) / 8) / root_two<T>()),
+      static_cast<T>(
+          (9 + (23 * ln_two<T>()) / 2 + (15 * pow(ln_two<T>(), 2)) / 8) /
+          root_two<T>()),
+      static_cast<T>((6 + 27 * ln_two<T>() + (69 * pow(ln_two<T>(), 2)) / 4 +
+                      (15 * pow(ln_two<T>(), 3)) / 8) /
+                     root_two<T>()),
+      static_cast<T>(
+          (ln_two<T>() * (24 + 54 * ln_two<T>() + 23 * pow(ln_two<T>(), 2) +
+                          (15 * pow(ln_two<T>(), 3)) / 8)) /
+          root_two<T>()),
+      static_cast<T>((pow(ln_two<T>(), 2) *
+                      (60 + 90 * ln_two<T>() + (115 * pow(ln_two<T>(), 2)) / 4 +
+                       (15 * pow(ln_two<T>(), 3)) / 8)) /
+                     root_two<T>()),
+      static_cast<T>(-15 / (32 * root_two<T>())),
+      static_cast<T>((-1 - (15 * ln_two<T>()) / 16) / (2 * root_two<T>())),
+      static_cast<T>((7 - 2 * ln_two<T>() - (15 * pow(ln_two<T>(), 2)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>((24 + 21 * ln_two<T>() - 3 * pow(ln_two<T>(), 2) -
+                      (15 * pow(ln_two<T>(), 3)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>((24 + 96 * ln_two<T>() + 42 * pow(ln_two<T>(), 2) -
+                      4 * pow(ln_two<T>(), 3) -
+                      (15 * pow(ln_two<T>(), 4)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>(
+          (ln_two<T>() *
+           (120 + 240 * ln_two<T>() + 70 * pow(ln_two<T>(), 2) -
+            5 * pow(ln_two<T>(), 3) - (15 * pow(ln_two<T>(), 4)) / 16)) /
+          (2 * root_two<T>())),
+      static_cast<T>(45 / (128 * root_two<T>())),
+      static_cast<T>((9 / 16.0 + (45 * ln_two<T>()) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((-25 / 2.0 + (9 * ln_two<T>()) / 8 +
+                      (45 * pow(ln_two<T>(), 2)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((-15 - (75 * ln_two<T>()) / 2 +
+                      (27 * pow(ln_two<T>(), 2)) / 16 +
+                      (45 * pow(ln_two<T>(), 3)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((60 - 60 * ln_two<T>() - 75 * pow(ln_two<T>(), 2) +
+                      (9 * pow(ln_two<T>(), 3)) / 4 +
+                      (45 * pow(ln_two<T>(), 4)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((120 + 300 * ln_two<T>() - 150 * pow(ln_two<T>(), 2) -
+                      125 * pow(ln_two<T>(), 3) +
+                      (45 * pow(ln_two<T>(), 4)) / 16 +
+                      (45 * pow(ln_two<T>(), 5)) / 32) /
+                     (4 * root_two<T>()))};
+  std::size_t k = 0;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_CLOSE(z.derivative(i, j), mathematica[k++], eps);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt_test, T, all_float_types) {
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 4.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = sqrt(x);
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(0u), sqrt(cx),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(1u), 0.5 * pow(cx, -0.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(2u), -0.5 * 0.5 * pow(cx, -1.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(3u), 0.5 * 0.5 * 1.5 * pow(cx, -2.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(4u),
+                             -0.5 * 0.5 * 1.5 * 2.5 * pow(cx, -3.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(5u),
+                             0.5 * 0.5 * 1.5 * 2.5 * 3.5 * pow(cx, -4.5),
+                             std::numeric_limits<T>::epsilon());
+  x = make_fvar<T, m>(0);
+  y = sqrt(x);
+  // std::cout << "sqrt(0) = " << y << std::endl; // (0,inf,-inf,inf,-inf,inf)
+  BOOST_CHECK_EQUAL(y.derivative(0u), 0);
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    BOOST_CHECK_EQUAL(y.derivative(i), (i % 2 == 1 ? 1 : -1) *
+                                           std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(log_test, T, all_float_types) {
+  using std::log;
+  using std::pow;
+  constexpr std::size_t m = 5;
+  const T cx = 2.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = log(x);
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(0u), log(cx),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(1u), 1 / cx,
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(2u), -1 / pow(cx, 2),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(3u), 2 / pow(cx, 3),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(4u), -6 / pow(cx, 4),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(5u), 24 / pow(cx, 5),
+                             std::numeric_limits<T>::epsilon());
+  x = make_fvar<T, m>(0);
+  y = log(x);
+  // std::cout << "log(0) = " << y << std::endl; // log(0) =
+  // depth(1)(-inf,inf,-inf,inf,-inf,inf)
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(y.derivative(i), (i % 2 == 1 ? 1 : -1) *
+                                           std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ylogx, T, all_float_types) {
+  using std::log;
+  using std::pow;
+  const T eps = 100 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 4;
+  const T cx = 2.0;
+  const T cy = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, m, n>(cy);
+  auto z = y * log(x);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 0u), cy * log(cx));
+  BOOST_CHECK_EQUAL(z.derivative(0u, 1u), log(cx));
+  BOOST_CHECK_EQUAL(z.derivative(0u, 2u), 0);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 3u), 0);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 4u), 0);
+  for (auto i : boost::irange(1u, static_cast<unsigned>(m + 1))) {
+    BOOST_CHECK_CLOSE(z.derivative(i, 0u),
+                      pow(-1, i - 1) * boost::math::factorial<T>(i - 1) * cy /
+                          pow(cx, i),
+                      eps);
+    BOOST_CHECK_CLOSE(
+        z.derivative(i, 1u),
+        pow(-1, i - 1) * boost::math::factorial<T>(i - 1) / pow(cx, i), eps);
+    for (auto j : boost::irange(std::size_t(2), n + 1)) {
+      BOOST_CHECK_EQUAL(z.derivative(i, j), 0u);
+    }
+  }
+  auto z1 = exp(z);
+  // RHS is confirmed by
+  // https://www.wolframalpha.com/input/?i=D%5Bx%5Ey,%7Bx,2%7D,%7By,4%7D%5D+%2F.+%7Bx-%3E2.0,+y-%3E3.0%7D
+  BOOST_CHECK_CLOSE(z1.derivative(2u, 4u),
+                    pow(cx, cy - 2) * pow(log(cx), 2) *
+                        (4 * (2 * cy - 1) * log(cx) + (4 - 1) * 4 +
+                         (cy - 1) * cy * pow(log(cx), 2)),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(frexp_test, T, all_float_types) {
+  using std::exp2;
+  using std::frexp;
+  constexpr std::size_t m = 3;
+  const T cx = 3.5;
+  const auto x = make_fvar<T, m>(cx);
+  int exp, testexp;
+  auto y = frexp(x, &exp);
+  BOOST_CHECK_EQUAL(y.derivative(0u), frexp(cx, &testexp));
+  BOOST_CHECK_EQUAL(exp, testexp);
+  BOOST_CHECK_EQUAL(y.derivative(1u), exp2(-exp));
+  BOOST_CHECK_EQUAL(y.derivative(2u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ldexp_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using boost::multiprecision::ldexp;
+  constexpr auto m = 3u;
+  const T cx = 3.5;
+  const auto x = make_fvar<T, m>(cx);
+  constexpr auto exponent = 3;
+  auto y = ldexp(x, exponent);
+  BOOST_CHECK_EQUAL(y.derivative(0u), ldexp(cx, exponent));
+  BOOST_CHECK_EQUAL(y.derivative(1u), exp2(exponent));
+  BOOST_CHECK_EQUAL(y.derivative(2u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cos_and_sin, T, bin_float_types) {
+  using std::cos;
+  using std::sin;
+  const T eps = 200 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  const T cx = boost::math::constants::third_pi<T>();
+  const auto x = make_fvar<T, m>(cx);
+  auto cos5 = cos(x);
+  BOOST_CHECK_CLOSE(cos5.derivative(0u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(1u), -sin(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(2u), -cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(3u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(4u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(5u), -sin(cx), eps);
+  auto sin5 = sin(x);
+  BOOST_CHECK_CLOSE(sin5.derivative(0u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(1u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(2u), -sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(3u), -cos(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(4u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(5u), cos(cx), eps);
+  // Test Order = 0 for codecov
+  auto cos0 = cos(make_fvar<T, 0>(cx));
+  BOOST_CHECK_CLOSE(cos0.derivative(0u), cos(cx), eps);
+  auto sin0 = sin(make_fvar<T, 0>(cx));
+  BOOST_CHECK_CLOSE(sin0.derivative(0u), sin(cx), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acos_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::acos;
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = acos(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), acos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), -1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), -cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    -(2 * cx * cx + 1) / pow(1 - cx * cx, 2.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    -(24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acosh_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using boost::math::acosh;
+  constexpr std::size_t m = 5;
+  const T cx = 2;
+  auto x = make_fvar<T, m>(cx);
+  auto y = acosh(x);
+  // BOOST_CHECK_EQUAL(y.derivative(0) == acosh(cx)); // FAILS! acosh(2) is
+  // overloaded for integral types
+  BOOST_CHECK_CLOSE(y.derivative(0u), acosh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u),
+                    1 / boost::math::constants::root_three<T>(), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u),
+                    -2 / (3 * boost::math::constants::root_three<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    1 / boost::math::constants::root_three<T>(), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -22 / (9 * boost::math::constants::root_three<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    227 / (27 * boost::math::constants::root_three<T>()),
+                    2 * eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::asin;
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = asin(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), asin(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), 1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), (2 * cx * cx + 1) / pow(1 - cx * cx, 2.5),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    (24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_infinity, T, all_float_types) {
+  const T eps = 100 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  auto x = make_fvar<T, m>(1);
+  auto y = asin(x);
+  // std::cout << "asin(1) = " << y << std::endl; //
+  // depth(1)(1.5707963267949,inf,inf,-nan,-nan,-nan)
+  BOOST_CHECK_CLOSE(y.derivative(0u), boost::math::constants::half_pi<T>(),
+                    eps); // MacOS is not exact
+  BOOST_CHECK_EQUAL(y.derivative(1u), std::numeric_limits<T>::infinity());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_derivative, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 4;
+  const T cx(0.5);
+  auto x = make_fvar<T, m>(cx);
+  auto y = T(1) - x * x;
+  BOOST_CHECK_EQUAL(y.derivative(0u), 1 - cx * cx);
+  BOOST_CHECK_EQUAL(y.derivative(1u), -2 * cx);
+  BOOST_CHECK_EQUAL(y.derivative(2u), -2);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(4u), 0);
+  y = sqrt(y);
+  BOOST_CHECK_EQUAL(y.derivative(0u), sqrt(1 - cx * cx));
+  BOOST_CHECK_CLOSE(y.derivative(1u), -cx / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), -1 / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), -3 * cx / pow(1 - cx * cx, 2.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -(12 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  y = y.inverse(); // asin'(x) = 1 / sqrt(1-x*x).
+  BOOST_CHECK_CLOSE(y.derivative(0u), 1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), (2 * cx * cx + 1) / pow(1 - cx * cx, 2.5),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    (24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asinh_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using boost::math::asinh;
+  constexpr std::size_t m = 5;
+  const T cx = 1;
+  auto x = make_fvar<T, m>(cx);
+  auto y = asinh(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), asinh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), 1 / boost::math::constants::root_two<T>(),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u),
+                    -1 / (2 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    1 / (4 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    3 / (8 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    -39 / (16 * boost::math::constants::root_two<T>()), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan2_function, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  test_detail::RandomSample<T> y_sampler{-2000, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = y_sampler.next();
+
+    auto autodiff_v = atan2(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = atan2(x, y);
+    BOOST_CHECK_CLOSE(autodiff_v, anchor_v,
+                      5000 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_3.cpp b/src/boost/libs/math/test/test_autodiff_3.cpp
new file mode 100644
index 00000000..a83bcc88
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_3.cpp
@@ -0,0 +1,343 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+#include <boost/utility/identity_type.hpp>
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_3)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atanh_test, T, all_float_types) {
+  const T eps = 3000 * test_constants_t<T>::pct_epsilon(); // percent
+  constexpr unsigned m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = atanh(x);
+  // BOOST_CHECK_EQUAL(y.derivative(0) , atanh(cx)); // fails due to overload
+  BOOST_CHECK_CLOSE(y.derivative(0u), atanh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), static_cast<T>(4) / 3, eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), static_cast<T>(16) / 9, eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), static_cast<T>(224) / 27, eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), static_cast<T>(1280) / 27, eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), static_cast<T>(31232) / 81, eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost;
+
+  const T cx = 1.0;
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = atan(x);
+  const auto eps = boost::math::tools::epsilon<T>();
+  BOOST_CHECK_CLOSE(y.derivative(0u), boost::math::constants::pi<T>() / 4, eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), T(0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), T(-0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(0), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(-3), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(erf_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost;
+
+  const T eps = 300 * 100 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1.0;
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = erf(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), erf(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(1u),
+      T(2) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(2u),
+      T(-4) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(3u),
+      T(4) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(4u),
+      T(8) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(5u),
+      T(-40) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinc_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 20000 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1;
+  constexpr unsigned m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = sinc(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), cos(cx) - sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), sin(cx) - 2 * cos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(5) * cos(cx) - T(3) * sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(13) * sin(cx) - T(20) * cos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(101) * cos(cx) - T(65) * sin(cx), eps);
+  // Test at x = 0
+  auto y2 = sinc(make_fvar<T, 10>(0));
+  BOOST_CHECK_CLOSE(y2.derivative(0u), T(1), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(1u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(2u), -cx / T(3), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(3u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(4u), cx / T(5), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(5u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(6u), -cx / T(7), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(7u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(8u), cx / T(9), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(9u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(10u), -cx / T(11), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinh_and_cosh, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 300 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1;
+  constexpr unsigned m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto s = sinh(x);
+  auto c = cosh(x);
+  BOOST_CHECK_CLOSE(s.derivative(0u), sinh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(c.derivative(0u), cosh(static_cast<T>(x)), eps);
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_CLOSE(s.derivative(i), static_cast<T>(i % 2 == 1 ? c : s), eps);
+    BOOST_CHECK_CLOSE(c.derivative(i), static_cast<T>(i % 2 == 1 ? s : c), eps);
+  }
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+BOOST_AUTO_TEST_CASE_TEMPLATE(tanh_test, T, all_float_types) {
+  using bmp::fabs;
+  using bmp::tanh;
+  using detail::fabs;
+  using detail::tanh;
+  using std::fabs;
+  using std::tanh;
+  constexpr std::array<const char *, 6> tanh_derivatives{
+      {"0."
+       "76159415595576488811945828260479359041276859725793655159681050012195324"
+       "457663848345894752167367671442190275970155",
+       "0."
+       "41997434161402606939449673904170144491718672823077095471331144024458989"
+       "95240483056156940088623187260",
+       "-0."
+       "63970000844922450018849176930384395321921136306079914494299856318702069"
+       "34885434644440069533372017992",
+       "0."
+       "62162668077129626310653042872222339967572411755445418563968706335816206"
+       "22188951465548376863495698762",
+       "0."
+       "66509104475050167773507148092106234992757132833203125448814929383096463"
+       "47626843278089998045994094537",
+       "-5."
+       "55689355847371979760458290231697200987383372116293456019531342394708989"
+       "7942786231796317250984197038"}};
+  const T cx = 1;
+  constexpr std::size_t m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto t = tanh(x);
+  for (auto i : boost::irange(tanh_derivatives.size())) {
+    BOOST_TEST_WARN(isNearZero(t.derivative(i) -
+                               boost::lexical_cast<T>(tanh_derivatives[i])));
+  }
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tan_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 800 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = boost::math::constants::third_pi<T>();
+  const T root_three = boost::math::constants::root_three<T>();
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = tan(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), T(4), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), T(8) * root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(80), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(352) * root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(5824), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fmod_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  const T cy = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = fmod(x, autodiff_fvar<T, m>(cy));
+  BOOST_CHECK_EQUAL(y.derivative(0u), T(0.25));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(1));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(round_and_trunc, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  auto x = make_fvar<T, m>(cx);
+  auto y = round(x);
+  BOOST_CHECK_EQUAL(y.derivative(0u), round(cx));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+  y = trunc(x);
+  BOOST_CHECK_EQUAL(y.derivative(0u), trunc(cx));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(iround_and_itrunc, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost::math;
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  auto x = make_fvar<T, m>(cx);
+  int y = iround(x);
+  BOOST_CHECK_EQUAL(y, iround(cx));
+  y = itrunc(x);
+  BOOST_CHECK_EQUAL(y, itrunc(cx));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lambert_w0_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[ProductLog[x], {x, n}], {n, 0, 10}] /. x -> 3, 52]
+  constexpr std::array<const char *, m + 1> answers{
+      {"1.049908894964039959988697070552897904589466943706341",
+       "0.1707244807388472968312949774415522047470762509741737",
+       "-0.04336545501146252734105411312976167858858970875797718",
+       "0.02321456264324789334313200360870492961288748451791104",
+       "-0.01909049778427783072663170526188353869136655225133878",
+       "0.02122935002563637629500975949987796094687564718834156",
+       "-0.02979093848448877259041971538394953658978044986784643",
+       "0.05051290266216717699803334605370337985567016837482099",
+       "-0.1004503154972645060971099914384090562800544486549660",
+       "0.2292464437392250211967939182075930820454464472006425",
+       "-0.5905839053125614593682763387470654123192290838719517"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = lambert_w0(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+  // const T cx0 = -1 / boost::math::constants::e<T>();
+  // auto edge = lambert_w0(make_fvar<T,m>(cx0));
+  // std::cout << "edge = " << edge << std::endl;
+  // edge = depth(1)(-1,inf,-inf,inf,-inf,inf,-inf,inf,-inf,inf,-inf)
+  // edge = depth(1)(-1,inf,-inf,inf,-inf,inf,-inf,inf,-inf,inf,-inf)
+  // edge =
+  // depth(1)(-1,3.68935e+19,-9.23687e+57,4.62519e+96,-2.89497e+135,2.02945e+174,-1.52431e+213,1.19943e+252,-9.75959e+290,8.14489e+329,-6.93329e+368)
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(digamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[PolyGamma[n, 3], {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"0.9227843350984671393934879099175975689578406640600764"
+    ,"0.3949340668482264364724151666460251892189499012067984"
+    ,"-0.1541138063191885707994763230228999815299725846809978"
+    ,"0.1189394022668291490960221792470074166485057115123614"
+    ,"-0.1362661234408782319527716749688200333699420680459075"
+    ,"0.2061674381338967657421515749104633482180988039424274"
+    ,"-0.3864797149844353246542358918536669119017636069718686"
+    ,"0.8623752376394704685736020836084249051623848752441025"
+    ,"-2.228398747634885327823655450854278779627928241914664"
+    ,"6.536422382626807143525565747764891144367614117601463"
+    ,"-21.4366066287129906188428320541054572790340793874298"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = digamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lgamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[LogGamma[x],{x,n}] /. x->3, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"0.6931471805599453094172321214581765680755001343602553"
+    ,"0.9227843350984671393934879099175975689578406640600764"
+    ,"0.3949340668482264364724151666460251892189499012067984"
+    ,"-0.1541138063191885707994763230228999815299725846809978"
+    ,"0.1189394022668291490960221792470074166485057115123614"
+    ,"-0.1362661234408782319527716749688200333699420680459075"
+    ,"0.2061674381338967657421515749104633482180988039424274"
+    ,"-0.3864797149844353246542358918536669119017636069718686"
+    ,"0.8623752376394704685736020836084249051623848752441025"
+    ,"-2.228398747634885327823655450854278779627928241914664"
+    ,"6.536422382626807143525565747764891144367614117601463"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = lgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tgamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[Gamma[x],{x,n}] /. x->3, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"2.0"
+    ,"1.845568670196934278786975819835195137915681328120153"
+    ,"2.492929991902693057942510065508124245503778067273315"
+    ,"3.449965013523673365279327178241708777509009968597547"
+    ,"5.521798578098737512443417699412265532987916790978887"
+    ,"8.845805593922864253981346455183370214190789096412155"
+    ,"15.86959874461221647760760269963155031595848150772695"
+    ,"27.46172054213435946038727460195592342721862288816812"
+    ,"54.64250508485402729556251663145824730270508661240771"
+    ,"96.08542140594972502872131946513104238293824803599579"
+    ,"222.0936743583156040996433943128676567542497584689499"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = tgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tgamma2_test, T, all_float_types) {
+  //const T eps = 5000 * boost::math::tools::epsilon<T>(); // ok for non-multiprecision
+  const T eps = 500000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = -1.5;
+  // Mathematica: N[Table[D[Gamma[x],{x,n}] /. x->-3/2, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"2.363271801207354703064223311121526910396732608163183"
+    ,"1.661750260668596505586468565464938761014714509096807"
+    ,"23.33417984355457252918927856618603412638766668207679"
+    ,"47.02130025080143055642555842335081335790754507072526"
+    ,"1148.336052788822231948472800239024335856568111484074"
+    ,"3831.214710988836934569706027888431190714054814541186"
+    ,"138190.9008816865362698874238213771413807566436072179"
+    ,"644956.0066517306036921195893233874126907491308967028"
+    ,"3.096453684470713902448094810299787572782887316764214e7"
+    ,"1.857893143852025058151037296906468662709947415219451e8"
+    ,"1.114762466163487983067783853825224537320312784955935e10"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = tgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_4.cpp b/src/boost/libs/math/test/test_autodiff_4.cpp
new file mode 100644
index 00000000..842d7e47
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_4.cpp
@@ -0,0 +1,194 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_4)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lround_llround_lltrunc_truncl, T,
+                              all_float_types) {
+  using boost::math::llround;
+  using boost::math::lltrunc;
+  using boost::math::lround;
+  using boost::multiprecision::llround;
+  using boost::multiprecision::lltrunc;
+  using boost::multiprecision::lround;
+  using detail::llround;
+  using detail::lltrunc;
+  using detail::lround;
+  using detail::truncl;
+  using std::truncl;
+
+  constexpr std::size_t m = 3;
+  const auto &cx = static_cast<T>(3.25);
+  auto x = make_fvar<T, m>(cx);
+  auto yl = lround(x);
+  BOOST_CHECK_EQUAL(yl, lround(cx));
+  auto yll = llround(x);
+  BOOST_CHECK_EQUAL(yll, llround(cx));
+  BOOST_CHECK_EQUAL(lltrunc(cx), lltrunc(x));
+
+#ifndef BOOST_NO_CXX17_IF_CONSTEXPR
+  if constexpr (!bmp::is_number<T>::value &&
+                !bmp::is_number_expression<T>::value) {
+    BOOST_CHECK_EQUAL(truncl(x), truncl(cx));
+  }
+#endif
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equality, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using boost::math::epsilon_difference;
+  using boost::math::fpclassify;
+  using boost::math::ulp;
+  using std::fpclassify;
+
+  constexpr std::size_t m = 3;
+  // check zeros
+  {
+    auto x = make_fvar<T, m>(0.0);
+    auto y = T(-0.0);
+    BOOST_CHECK_EQUAL(x.derivative(0u), y);
+  }
+}
+
+#if defined(BOOST_AUTODIFF_TESTING_INCLUDE_MULTIPRECISION)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiprecision, T, multiprecision_float_types) {
+  using boost::multiprecision::fabs;
+  using detail::fabs;
+  using std::fabs;
+
+  const T eps = 3000 * std::numeric_limits<T>::epsilon();
+  constexpr std::size_t Nw = 3;
+  constexpr std::size_t Nx = 2;
+  constexpr std::size_t Ny = 4;
+  constexpr std::size_t Nz = 3;
+  const auto w = make_fvar<T, Nw>(11);
+  const auto x = make_fvar<T, 0, Nx>(12);
+  const auto y = make_fvar<T, 0, 0, Ny>(13);
+  const auto z = make_fvar<T, 0, 0, 0, Nz>(14);
+  const auto v =
+      mixed_partials_f(w, x, y, z); // auto = autodiff_fvar<T,Nw,Nx,Ny,Nz>
+  // Calculated from Mathematica symbolic differentiation.
+  const T answer = boost::lexical_cast<T>(
+      "1976.3196007477977177798818752904187209081211892187"
+      "5499076582535951111845769110560421820940516423255314");
+  // BOOST_CHECK_CLOSE(v.derivative(Nw,Nx,Ny,Nz), answer, eps); // Doesn't work
+  // for cpp_dec_float
+  const T relative_error =
+      static_cast<T>(fabs(v.derivative(Nw, Nx, Ny, Nz) / answer - 1));
+  BOOST_CHECK_LT(relative_error, eps);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acosh_hpp, T, all_float_types) {
+  using boost::math::acosh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{1, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto autodiff_v = acosh(make_fvar<T, m>(x));
+    auto anchor_v = acosh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asinh_hpp, T, all_float_types) {
+  using boost::math::asinh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-100, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+
+    auto autodiff_v = asinh(make_fvar<T, m>(x));
+    auto anchor_v = asinh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atanh_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using boost::math::atanh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), T(0));
+
+    auto autodiff_v = atanh(make_fvar<T, m>(x));
+    auto anchor_v = atanh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan_hpp, T, all_float_types) {
+  using boost::math::float_prior;
+  using boost::math::fpclassify;
+  using boost::math::signbit;
+  using boost::math::differentiation::detail::atan;
+  using boost::multiprecision::atan;
+  using boost::multiprecision::fabs;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+  using detail::fabs;
+  using std::atan;
+  using std::fabs;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = T(1);
+    while (fpclassify(T(fabs(x) - 1)) == FP_ZERO) {
+      x = x_sampler.next();
+    }
+
+    auto autodiff_v = atan(make_fvar<T, m>(x));
+    auto anchor_v = atan(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bernoulli_hpp, T, all_float_types) {
+
+  using boost::multiprecision::min;
+  using std::min;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    {
+      auto autodiff_v = boost::math::bernoulli_b2n<autodiff_fvar<T, m>>(i);
+      auto anchor_v = boost::math::bernoulli_b2n<T>(i);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+    {
+      auto i_ = (min)(19, i);
+      auto autodiff_v = boost::math::tangent_t2n<autodiff_fvar<T, m>>(i_);
+      auto anchor_v = boost::math::tangent_t2n<T>(i_);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_5.cpp b/src/boost/libs/math/test/test_autodiff_5.cpp
new file mode 100644
index 00000000..614630ca
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_5.cpp
@@ -0,0 +1,120 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_5)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(binomial_hpp, T, all_float_types) {
+  using boost::multiprecision::min;
+  using std::fabs;
+  using std::min;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<unsigned> n_sampler{0u, 30u};
+  test_detail::RandomSample<unsigned> r_sampler{0u, 30u};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto n = n_sampler.next();
+    auto r = n == 0 ? 0 : (min)(r_sampler.next(), n - 1);
+
+    // This is a hard function to test for type float due to a specialization of
+    // boost::math::binomial_coefficient
+    auto autodiff_v =
+        std::is_same<T, float>::value
+            ? make_fvar<T, m>(boost::math::binomial_coefficient<T>(n, r))
+            : boost::math::binomial_coefficient<T>(n, r);
+    auto anchor_v = boost::math::binomial_coefficient<T>(n, r);
+    BOOST_CHECK_EQUAL(autodiff_v.derivative(0u), anchor_v);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cbrt_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::cbrt(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::cbrt(x), 50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  {
+    test_detail::RandomSample<unsigned> n_sampler{0u, 10u};
+    test_detail::RandomSample<T> x_sampler{-2, 2};
+    for (auto i : boost::irange(test_constants::n_samples)) {
+      std::ignore = i;
+      auto n = n_sampler.next();
+      auto x = x_sampler.next();
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_t(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_t(n, x), 40 * test_constants::pct_epsilon());
+
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_u(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_u(n, x), 40 * test_constants::pct_epsilon());
+
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_t_prime(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_t_prime(n, x),
+          40 * test_constants::pct_epsilon());
+
+      /*/usr/include/boost/math/special_functions/chebyshev.hpp:164:40: error:
+       cannot convert
+       boost::math::differentiation::autodiff_v1::detail::fvar<double, 3> to
+       double in return
+       BOOST_CHECK_EQUAL(boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),make_fvar<T,m>(0.20))
+       ,
+       boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),static_cast<T>(0.20)));*/
+      /*try {
+        std::array<T, 4> c0{{14.2, -13.7, 82.3, 96}};
+        BOOST_CHECK_CLOSE(boost::math::chebyshev_clenshaw_recurrence(c0.data(),
+      c0.size(), make_fvar<T,m>(x)),
+                                     boost::math::chebyshev_clenshaw_recurrence(c0.data(),
+      c0.size(), x), 10*test_constants::pct_epsilon()); } catch (...) {
+        std::rethrow_exception(std::exception_ptr(std::current_exception()));
+      }*/
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cospi_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::cos_pi(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::cos_pi(x), test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(digamma_hpp, T, all_float_types) {
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto autodiff_v = boost::math::digamma(make_fvar<T, m>(x));
+    auto anchor_v = boost::math::digamma(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e4 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_6.cpp b/src/boost/libs/math/test/test_autodiff_6.cpp
new file mode 100644
index 00000000..770ca229
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_6.cpp
@@ -0,0 +1,280 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_6)
+
+/*********************************************************************************************************************
+ * special functions tests
+ *********************************************************************************************************************/
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_1_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{T{-1}, T{1}};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_1(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_1(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_1(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_1(k, phi), 1e4 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_2_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_2(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_2(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_2(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_2(k, phi), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_3_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using boost::math::differentiation::detail::sin;
+  using boost::multiprecision::min;
+  using std::min;
+  using std::sin;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> n_sampler{-2000, 2000};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    auto n = (min)((min)(n_sampler.next(), T(1) / (sin(phi) * sin(phi))),
+                   nextafter(T(1), T(0)));
+    BOOST_CHECK_CLOSE(boost::math::ellint_3(make_fvar<T, m>(k),
+                                            make_fvar<T, m>(n),
+                                            make_fvar<T, m>(phi))
+                          .derivative(0u),
+                      boost::math::ellint_3(k, n, phi),
+                      2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_d_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_d(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_d(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_d(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_d(k, phi), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rf_hpp, T, all_float_types) {
+
+  using boost::math::tools::max;
+  using std::max;
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto y = nextafter(y_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto z = nextafter(z_sampler.next(), ((std::numeric_limits<T>::max))());
+
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rf(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rf(x, y, z), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rc_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::nextafter;
+  using boost::math::signbit;
+  using boost::math::tools::max;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+  using std::max;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = T(0);
+    while (fpclassify(T(y)) == FP_ZERO) {
+      y = (max)(y_sampler.next(),
+                nextafter(T(0), T(signbit(y) ? -1 : 1) *
+                                    ((std::numeric_limits<T>::max))()));
+    }
+
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rc(make_fvar<T, m>(x), make_fvar<T, m>(y))
+            .derivative(0u),
+        boost::math::ellint_rc(x, y), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rj_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::nextafter;
+  using boost::math::signbit;
+  using boost::math::tools::max;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+
+  using std::max;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  test_detail::RandomSample<T> p_sampler{-2000, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = (x != 0 ? 1 : 0) + y_sampler.next();
+    auto z = ((x == 0 || y == 0) ? 1 : 0) + z_sampler.next();
+    auto p = T(0);
+
+    while (fpclassify(T(p)) == FP_ZERO) {
+      p = (max)(p_sampler.next(),
+                nextafter(T(0), T(signbit(p) ? -1 : 1) *
+                                    ((std::numeric_limits<T>::max))()));
+    }
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rj(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z), make_fvar<T, m>(p))
+            .derivative(0u),
+        boost::math::ellint_rj(x, y, z, p),
+        2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rd_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = (x == 0 ? 1 : 0) + y_sampler.next();
+    auto z = z_sampler.next();
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rd(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rd(x, y, z), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rg_hpp, T, all_float_types) {
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto y = nextafter(y_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto z = z_sampler.next();
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rg(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rg(x, y, z), 50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(erf_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+
+    BOOST_CHECK(isNearZero(erf(make_fvar<T, m>(x)).derivative(0u) -
+                           boost::math::erf(x)));
+    BOOST_CHECK(isNearZero(erfc(make_fvar<T, m>(x)).derivative(0u) -
+                           boost::math::erfc(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(expint_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{1, 83};
+  for (auto n :
+       boost::irange(1u, static_cast<unsigned>(test_constants::n_samples))) {
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::expint(n, make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::expint(n, x),
+                      200 * test_constants::pct_epsilon());
+
+    for (auto y : {-1, 1}) {
+      BOOST_CHECK_CLOSE(
+          boost::math::expint(make_fvar<T, m>(x * y)).derivative(0u),
+          boost::math::expint(x * y), 200 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_7.cpp b/src/boost/libs/math/test/test_autodiff_7.cpp
new file mode 100644
index 00000000..c41d806a
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_7.cpp
@@ -0,0 +1,67 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_7)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(expm1_hpp, T, all_float_types) {
+  using boost::math::differentiation::detail::log;
+  using boost::multiprecision::log;
+  using std::log;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-log(T(2000)), log(T(2000))};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::expm1(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::expm1(x),
+                      50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fpclassify_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::isfinite;
+  using boost::math::isinf;
+  using boost::math::isnan;
+  using boost::math::isnormal;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::isfinite;
+  using boost::multiprecision::isinf;
+  using boost::multiprecision::isnan;
+  using boost::multiprecision::isnormal;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1000, 1000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+
+    BOOST_CHECK_EQUAL(fpclassify(make_fvar<T, m>(0)), FP_ZERO);
+    BOOST_CHECK_EQUAL(fpclassify(make_fvar<T, m>(10)), FP_NORMAL);
+    BOOST_CHECK_EQUAL(
+        fpclassify(make_fvar<T, m>(std::numeric_limits<T>::infinity())),
+        FP_INFINITE);
+    BOOST_CHECK_EQUAL(
+        fpclassify(make_fvar<T, m>(std::numeric_limits<T>::quiet_NaN())),
+        FP_NAN);
+    if (std::numeric_limits<T>::has_denorm != std::denorm_absent) {
+      BOOST_CHECK_EQUAL(
+          fpclassify(make_fvar<T, m>(std::numeric_limits<T>::denorm_min())),
+          FP_SUBNORMAL);
+    }
+
+    BOOST_CHECK(isfinite(make_fvar<T, m>(0)));
+    BOOST_CHECK(isnormal(make_fvar<T, m>((std::numeric_limits<T>::min)())));
+    BOOST_CHECK(
+        !isnormal(make_fvar<T, m>(std::numeric_limits<T>::denorm_min())));
+    BOOST_CHECK(isinf(make_fvar<T, m>(std::numeric_limits<T>::infinity())));
+    BOOST_CHECK(isnan(make_fvar<T, m>(std::numeric_limits<T>::quiet_NaN())));
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_8.cpp b/src/boost/libs/math/test/test_autodiff_8.cpp
new file mode 100644
index 00000000..4afab087
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_8.cpp
@@ -0,0 +1,506 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_8)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hermite_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-200, 200};
+  for (auto i : boost::irange(14u)) {
+    auto x = x_sampler.next();
+    auto autodiff_v = boost::math::hermite(i, make_fvar<T, m>(x));
+    auto anchor_v = boost::math::hermite(i, x);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(heuman_lambda_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto phi = phi_sampler.next();
+    auto autodiff_v =
+        boost::math::heuman_lambda(make_fvar<T, m>(x), make_fvar<T, m>(phi));
+    auto anchor_v = boost::math::heuman_lambda(x, phi);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hypot_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  test_detail::RandomSample<T> y_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = y_sampler.next();
+    auto autodiff_v =
+        boost::math::hypot(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = boost::math::hypot(x, y);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi_elliptic_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{0, 1};
+  test_detail::RandomSample<T> theta_sampler{-100, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto theta = theta_sampler.next();
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cn(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cs(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cs(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_dc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_dc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_dn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_dn(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_ds(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_ds(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_nc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_nc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_nd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_nd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_ns(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_ns(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sn(k, theta)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi_zeta_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_zeta(make_fvar<T, m>(x), make_fvar<T, m>(phi))
+            .derivative(0u) -
+        boost::math::jacobi_zeta(x, phi)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(laguerre_hpp, T, all_float_types) {
+  using boost::multiprecision::min;
+  using std::min;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<unsigned> n_sampler{1, 50};
+  test_detail::RandomSample<unsigned> r_sampler{0, 50};
+  test_detail::RandomSample<T> x_sampler{0, 50};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto n = n_sampler.next();
+    auto r = (min)(n - 1, r_sampler.next());
+    auto x = x_sampler.next();
+
+    {
+      auto autodiff_v = boost::math::laguerre(n, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::laguerre(n, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+    {
+      auto autodiff_v = boost::math::laguerre(n, r, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::laguerre(n, r, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lambert_w_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using boost::math::tools::max;
+  using boost::multiprecision::fabs;
+  using boost::multiprecision::min;
+  using detail::fabs;
+  using std::fabs;
+  using std::max;
+  using std::min;
+  using std::nextafter;
+
+  using promoted_t = promote<T, double>;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{static_cast<T>(-1 / std::exp(-1)),
+                                         ((std::numeric_limits<T>::max))()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    {
+      auto x_ = (min<T>)(static_cast<T>(((max<promoted_t>))(
+                             -exp(promoted_t(-1)), promoted_t(x))),
+                         ((std::numeric_limits<T>::max))());
+      {
+        auto autodiff_v = boost::math::lambert_w0(make_fvar<T, m>(x_));
+        auto anchor_v = boost::math::lambert_w0(x_);
+        BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+      }
+      {
+        auto autodiff_v = boost::math::lambert_w0_prime(make_fvar<T, m>(x_));
+        auto anchor_v = boost::math::lambert_w0_prime(x_);
+        BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+      }
+    }
+
+    {
+      auto x_ = nextafter(
+          static_cast<T>(nextafter(
+              ((max))(static_cast<promoted_t>(-exp(-1)), -fabs(promoted_t(x))),
+              ((std::numeric_limits<promoted_t>::max))())),
+          ((std::numeric_limits<T>::max))());
+      x_ = (max)(static_cast<T>(-0.36), x_);
+      BOOST_CHECK(isNearZero(
+          boost::math::lambert_wm1(make_fvar<T, m>(x_)).derivative(0u) -
+          boost::math::lambert_wm1(x_)));
+      BOOST_CHECK(isNearZero(
+          boost::math::lambert_wm1_prime(make_fvar<T, m>(x_)).derivative(0u) -
+          boost::math::lambert_wm1_prime(x_)));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(log1p_hpp, T, all_float_types) {
+  using boost::math::log1p;
+  using boost::multiprecision::log1p;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(log1p(make_fvar<T, m>(x)).derivative(0u) - log1p(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(next_hpp, T, all_float_types) {
+  using boost::math::float_advance;
+  using boost::math::float_distance;
+  using boost::math::float_next;
+  using boost::math::float_prior;
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    const auto j = static_cast<T>(i);
+    auto fvar_j = make_fvar<T, m>(j);
+    BOOST_CHECK(isNearZero(float_next(fvar_j).derivative(0u) - float_next(j)));
+    BOOST_CHECK(
+        isNearZero(float_prior(fvar_j).derivative(0u) - float_prior(j)));
+
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(1))).derivative(0u) -
+        nextafter(j, static_cast<T>(1))));
+    BOOST_CHECK(
+        isNearZero(nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(i + 2))) -
+                   nextafter(j, static_cast<T>(i + 2))));
+    BOOST_CHECK(
+        isNearZero(nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(i + 1)))
+                       .derivative(0u) -
+                   nextafter(j, static_cast<T>(i + 2))));
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1))).derivative(0u) -
+        nextafter(j, static_cast<T>(-1))));
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1 * (i + 2))))
+            .derivative(0u) -
+        nextafter(j, -1 * static_cast<T>(i + 2))));
+
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1 * (i + 1))))
+            .derivative(0u) -
+        nextafter(j, -1 * static_cast<T>(i + 2))));
+
+    BOOST_CHECK(isNearZero(nextafter(fvar_j, fvar_j) - fvar_j));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, 1).derivative(0u) -
+                           float_advance(j, 1)));
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, i + 2).derivative(0u) -
+                           float_advance(j, i + 2)));
+    BOOST_CHECK(isNearZero(
+        float_advance(fvar_j, i + 1).derivative(0u) -
+        float_advance(float_advance(fvar_j, i + 2), -1).derivative(0u)));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, -1).derivative(0u) -
+                           float_advance(j, -1)));
+
+    BOOST_CHECK(isNearZero(
+        float_advance(fvar_j, -i - 1).derivative(0u) -
+        float_advance(float_advance(fvar_j, -i - 2), 1).derivative(0u)));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, 0) - fvar_j));
+
+    BOOST_CHECK(isNearZero(float_distance(fvar_j, j).derivative(0u) -
+                           static_cast<T>(0)));
+    BOOST_CHECK(
+        isNearZero(float_distance(float_next(fvar_j), fvar_j).derivative(0u) -
+                   ((make_fvar<T, m>(-1))).derivative(0u)));
+    BOOST_CHECK(
+        isNearZero(float_distance(float_prior(fvar_j), fvar_j).derivative(0u) -
+                   (make_fvar<T, m>(1)).derivative(0u)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(owens_t_hpp, T, bin_float_types) {
+  BOOST_MATH_STD_USING;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> h_sampler{-2000, 2000};
+  test_detail::RandomSample<T> a_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto h = h_sampler.next();
+    auto a = a_sampler.next();
+    auto autodiff_v =
+        boost::math::owens_t(make_fvar<T, m>(h), make_fvar<T, m>(a));
+    auto anchor_v = boost::math::owens_t(h, a);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  for (auto i : boost::irange(10)) {
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<0>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<0>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<1>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<1>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<2>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<2>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<3>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<3>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<4>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<4>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<5>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<5>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<6>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<6>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<7>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<7>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<8>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<8>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<9>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<9>(static_cast<T>(i)), test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(polygamma_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    auto x = x_sampler.next();
+    try {
+      auto autodiff_v = boost::math::polygamma(i, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::polygamma(i, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    } catch (const std::overflow_error &) {
+      std::cout << "Overflow Error thrown with inputs i: " << i << " x: " << x
+                << std::endl;
+      BOOST_CHECK_THROW(boost::math::polygamma(i, make_fvar<T, m>(x)),
+                        boost::wrapexcept<std::overflow_error>);
+      BOOST_CHECK_THROW(boost::math::polygamma(i, x),
+                        boost::wrapexcept<std::overflow_error>);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(powm1_hpp, T, all_float_types) {
+  using boost::math::tools::max;
+  using boost::multiprecision::max;
+  using std::max;
+
+  using boost::multiprecision::log;
+  using detail::log;
+  using std::log;
+
+  using boost::multiprecision::min;
+  using std::min;
+
+  using boost::multiprecision::sqrt;
+  using detail::sqrt;
+  using std::sqrt;
+
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = ((max))(x_sampler.next(),
+                     boost::math::nextafter(static_cast<T>(0),
+                                            ((std::numeric_limits<T>::max))()));
+
+    auto y =
+        ((min))(x_sampler.next(),
+                log(sqrt(((std::numeric_limits<T>::max))()) + 1) / log(x + 1));
+    auto autodiff_v =
+        boost::math::powm1(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = boost::math::powm1(x, y);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sin_pi_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::sin_pi(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::sin_pi(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinhc_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{ -80, 80 };
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    if (x != 0) {
+      auto autodiff_v = boost::math::sinhc_pi(make_fvar<T, m>(x));
+      auto anchor_v = boost::math::sinhc_pi(x);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(spherical_harmonic_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> theta_sampler{0,
+                                             boost::math::constants::pi<T>()};
+  test_detail::RandomSample<T> phi_sampler{0,
+                                           boost::math::constants::two_pi<T>()};
+  test_detail::RandomSample<int> r_sampler{0, test_constants::n_samples};
+  for (auto n : boost::irange(
+           1u, static_cast<unsigned>(test_constants::n_samples) + 1u)) {
+    auto theta = theta_sampler.next();
+    auto phi = phi_sampler.next();
+    auto r = (std::min)(static_cast<int>(n) - 1, r_sampler.next());
+    {
+      auto autodiff_v = boost::math::spherical_harmonic(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic(n, r, theta, phi);
+      BOOST_CHECK(
+          isNearZero(autodiff_v.real().derivative(0u) - anchor_v.real()));
+      BOOST_CHECK(
+          isNearZero(autodiff_v.imag().derivative(0u) - anchor_v.imag()));
+    }
+
+    {
+      auto autodiff_v = boost::math::spherical_harmonic_r(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic_r(n, r, theta, phi);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+
+    {
+      auto autodiff_v = boost::math::spherical_harmonic_i(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic_i(n, r, theta, phi);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1pm1_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::sqrt1pm1(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::sqrt1pm1(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(trigamma_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::trigamma(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::trigamma(x)));
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_barycentric_rational.cpp b/src/boost/libs/math/test/test_barycentric_rational.cpp
new file mode 100644
index 00000000..21d3b99d
--- /dev/null
+++ b/src/boost/libs/math/test/test_barycentric_rational.cpp
@@ -0,0 +1,295 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE barycentric_rational
+
+#include <cmath>
+#include <random>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+using std::sqrt;
+using std::abs;
+using std::numeric_limits;
+using boost::multiprecision::cpp_bin_float_50;
+
+template<class Real>
+void test_interpolation_condition()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = dis(gen);
+    y[0] = dis(gen);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = dis(gen);
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size());
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real z = interpolator(x[i]);
+        BOOST_CHECK_CLOSE(z, y[i], 100*numeric_limits<Real>::epsilon());
+    }
+
+    // Make sure that the move constructor does the same thing:
+    std::vector<Real> x_copy = x;
+    std::vector<Real> y_copy = y;
+    boost::math::barycentric_rational<Real> move_interpolator(std::move(x), std::move(y));
+
+    for (size_t i = 0; i < x_copy.size(); ++i)
+    {
+        Real z = move_interpolator(x_copy[i]);
+        BOOST_CHECK_CLOSE(z, y_copy[i], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_high_order()
+{
+    std::cout << "Testing interpolation condition in high order for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(5);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = dis(gen);
+    y[0] = dis(gen);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = dis(gen);
+    }
+
+    // Order 5 approximation:
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 5);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real z = interpolator(x[i]);
+        BOOST_CHECK_CLOSE(z, y[i], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    Real constant = -8;
+    x[0] = dis(gen);
+    y[0] = constant;
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = y[0];
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size());
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, constant, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(interpolator.prime(t), sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+template<class Real>
+void test_constant_high_order()
+{
+    std::cout << "Testing that constants are interpolated correctly in high order using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(7);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    Real constant = 5;
+    x[0] = dis(gen);
+    y[0] = constant;
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = y[0];
+    }
+
+    // Set interpolation order to 7:
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 7);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, constant, 1000*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(interpolator.prime(t), 100*sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_runge()
+{
+    std::cout << "Testing interpolation of Runge's 1/(1+25x^2) function using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(8);
+    boost::random::uniform_real_distribution<Real> dis(0.005f, 0.01f);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = -2;
+    y[0] = 1/(1+25*x[0]*x[0]);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = 1/(1+25*x[i]*x[i]);
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 5);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i];
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, y[i], 0.03);
+        Real z_prime = interpolator.prime(t);
+        Real num = -50*t;
+        Real denom = (1+25*t*t)*(1+25*t*t);
+        if (abs(num/denom) > 0.00001)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(z_prime, num/denom, 0.03);
+        }
+    }
+
+
+    Real tol = 0.0001;
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, 1/(1+25*t*t), tol);
+        Real z_prime = interpolator.prime(t);
+        Real num = -50*t;
+        Real denom = (1+25*t*t)*(1+25*t*t);
+        Real runge_prime = num/denom;
+
+        if (abs(runge_prime) > 0 && abs(z_prime - runge_prime)/abs(runge_prime) > tol)
+        {
+            std::cout << "Error too high for t = " << t << " which is a distance " << t - x[i] << " from node " << i << "/" << x.size() << " associated with data (" << x[i] << ", " << y[i] << ")\n";
+            BOOST_CHECK_CLOSE_FRACTION(z_prime, runge_prime, tol);
+        }
+    }
+}
+
+template<class Real>
+void test_weights()
+{
+    std::cout << "Testing weights are calculated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(9);
+    boost::random::uniform_real_distribution<Real> dis(0.005, 0.01);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = -2;
+    y[0] = 1/(1+25*x[0]*x[0]);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = 1/(1+25*x[i]*x[i]);
+    }
+
+    boost::math::detail::barycentric_rational_imp<Real> interpolator(x.data(), x.data() + x.size(), y.data(), 0);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real w = interpolator.weight(i);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, 1, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, -1, 0.00001);
+        }
+    }
+
+    // d = 1:
+    interpolator = boost::math::detail::barycentric_rational_imp<Real>(x.data(), x.data() + x.size(), y.data(), 1);
+
+    for (size_t i = 1; i < x.size() -1; ++i)
+    {
+        Real w = interpolator.weight(i);
+        Real w_expect = 1/(x[i] - x[i - 1]) + 1/(x[i+1] - x[i]);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, -w_expect, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, w_expect, 0.00001);
+        }
+    }
+
+}
+
+
+BOOST_AUTO_TEST_CASE(barycentric_rational)
+{
+    // The tests took too long at the higher precisions.
+    // They still pass, but the CI system is starting to time out,
+    // so I figured it'd be polite to comment out the most expensive tests.
+    test_weights<double>();
+
+    test_constant<float>();
+    //test_constant<double>();
+    test_constant<long double>();
+    //test_constant<cpp_bin_float_50>();
+
+    //test_constant_high_order<float>();
+    test_constant_high_order<double>();
+    //test_constant_high_order<long double>();
+    //test_constant_high_order<cpp_bin_float_50>();
+
+    test_interpolation_condition<float>();
+    test_interpolation_condition<double>();
+    //test_interpolation_condition<long double>();
+    //test_interpolation_condition<cpp_bin_float_50>();
+
+    //test_interpolation_condition_high_order<float>();
+    test_interpolation_condition_high_order<double>();
+    //test_interpolation_condition_high_order<long double>();
+    //test_interpolation_condition_high_order<cpp_bin_float_50>();
+
+    test_runge<double>();
+    //test_runge<long double>();
+    //test_runge<cpp_bin_float_50>();
+
+#ifdef BOOST_HAS_FLOAT128
+    //test_interpolation_condition<boost::multiprecision::float128>();
+    //test_constant<boost::multiprecision::float128>();
+    //test_constant_high_order<boost::multiprecision::float128>();
+    //test_interpolation_condition_high_order<boost::multiprecision::float128>();
+    //test_runge<boost::multiprecision::float128>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_basic_nonfinite.cpp b/src/boost/libs/math/test/test_basic_nonfinite.cpp
new file mode 100644
index 00000000..20f0e222
--- /dev/null
+++ b/src/boost/libs/math/test/test_basic_nonfinite.cpp
@@ -0,0 +1,272 @@
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow comments
+// Copyright (c) 2011 John Maddock
+/*!
+\file
+\brief Basic tests of the nonfinite num facets.
+
+\detail If has_infinity and has_nan, then
+basic_test outputs using nonfinite_num_put facet
+and reads back in using nonfinite_num_ facet,
+and checks loopback OK.
+
+Also checks that output of infinity, -infinity and NaN are as expected,
+using C99 specification  "nan -nan nan -nan" and "inf -inf".
+Also includes a few combinations of display manipulators
+(left, right, internal, showpos)
+and checks that can input C99 infinity and NaN too.
+
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702) // Unreachable code.
+#endif
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+
+#include "almost_equal.ipp"
+#include "s_.ipp"
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+namespace
+{  // The anonymous namespace resolves ambiguities on
+   // platforms with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void basic_test_finite();
+void basic_test_inf();
+void basic_test_nan();
+void basic_test_format();
+
+BOOST_AUTO_TEST_CASE(basic_test)
+{
+    basic_test_finite();
+    basic_test_inf();
+    basic_test_nan();
+    basic_test_format();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_finite_impl();
+
+void basic_test_finite()
+{
+    basic_test_finite_impl<char, float>();
+    basic_test_finite_impl<char, double>();
+    basic_test_finite_impl<char, long double>();
+    basic_test_finite_impl<wchar_t, float>();
+    basic_test_finite_impl<wchar_t, double>();
+    basic_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_finite_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_inf_impl();
+
+void basic_test_inf()
+{
+    basic_test_inf_impl<char, float>();
+    basic_test_inf_impl<char, double>();
+    basic_test_inf_impl<char, long double>();
+    basic_test_inf_impl<wchar_t, float>();
+    basic_test_inf_impl<wchar_t, double>();
+    basic_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_inf_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+
+    BOOST_CHECK((boost::math::isinf)(a1));
+    BOOST_CHECK((boost::math::isinf)(a2));
+
+    ss << a1 << ' ' << a2;
+
+    std::basic_string<CharType> s = S_("inf -inf");
+    BOOST_CHECK(ss.str() == s);
+
+    ss << " infinity";          // Alternative C99 representation of infinity.
+
+    ValType b1, b2, b3;
+    ss >> b1;
+    ss >> b2;
+    ss >> b3;
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(b3 == std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_nan_impl();
+
+void basic_test_nan()
+{
+    basic_test_nan_impl<char, float>();
+    basic_test_nan_impl<char, double>();
+    basic_test_nan_impl<char, long double>();
+    basic_test_nan_impl<wchar_t, float>();
+    basic_test_nan_impl<wchar_t, double>();
+    basic_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_nan_impl()
+{
+    if((std::numeric_limits<ValType>::has_quiet_NaN == 0) || (std::numeric_limits<ValType>::quiet_NaN() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a2 = (boost::math::changesign)(std::numeric_limits<ValType>::quiet_NaN());
+    ValType a3 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a4 = (boost::math::changesign)(std::numeric_limits<ValType>::signaling_NaN());
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    BOOST_CHECK((boost::math::isnan)(a1) && (boost::math::isnan)(a2) && (boost::math::isnan)(a3) && (boost::math::isnan)(a4));
+
+    std::basic_string<CharType> s = S_("nan -nan nan -nan");
+    BOOST_CHECK(ss.str() == s);
+
+    // Alternative C99 representation of NaN.
+    ss << " nan(foo)";
+
+    ValType b1, b2, b3, b4, b5;
+    ss >> b1 >> b2 >> b3 >> b4 >> b5;
+
+    BOOST_CHECK((isnan)(b1));
+    BOOST_CHECK((isnan)(b2));
+    BOOST_CHECK((isnan)(b3));
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK((isnan)(b5));
+
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(!(signbit)(b3));
+    BOOST_CHECK((signbit)(b4));
+    BOOST_CHECK(!(signbit)(b5));
+
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_format_impl();
+
+void basic_test_format()
+{
+    basic_test_format_impl<char, float>();
+    basic_test_format_impl<char, double>();
+    basic_test_format_impl<char, long double>();
+    basic_test_format_impl<wchar_t, float>();
+    basic_test_format_impl<wchar_t, double>();
+    basic_test_format_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_format_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a = std::numeric_limits<ValType>::infinity();
+
+    BOOST_CHECK((boost::math::isinf)(a));
+
+    ss << std::setw(6) << a; // Expect right justified in field of six, so 3 leading spaces.
+    ss << '|';
+    ss << std::setw(2) << a; // Too narrow for "inf", but should still be "inf".
+    ss << '|';
+    ss << std::left << std::setw(5) << a; // 5 - 3 leaves two trailing spaces.
+    ss << '|';
+    ss << std::showpos << std::internal << std::setw(7) << a; // 3 internal spaces between + and "inf".
+    ss << '|';
+    ss << std::uppercase << std::right << std::setw(6) << a; // still showpos, so "space, space, +INF".
+
+    std::basic_string<CharType> s = S_("   inf|inf|inf  |+   inf|  +INF");
+    BOOST_CHECK(ss.str() == s);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_bernoulli.cpp b/src/boost/libs/math/test/test_bernoulli.cpp
new file mode 100644
index 00000000..dfef8cd3
--- /dev/null
+++ b/src/boost/libs/math/test/test_bernoulli.cpp
@@ -0,0 +1,328 @@
+// test_bernoulli.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Bernoulli Cumulative Distribution Function.
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4535) // calling _set_se_translator() requires /EHa.
+#  pragma warning (disable : 4244) // conversion possible loss of data.
+#  pragma warning (disable : 4996) // 'putenv': The POSIX name for this item is deprecated.
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#endif
+
+// Default domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/distributions/bernoulli.hpp> // for bernoulli_distribution
+using boost::math::bernoulli_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::fixed;
+using std::right;
+using std::left;
+using std::showpoint;
+using std::showpos;
+using std::setw;
+using std::setprecision;
+
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100;
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  // Sources of spot test values - calculator,
+  // or Steve Moshier's command interpreter V1.3 100 decimal digit calculator,
+  // Wolfram function evaluator.
+
+  using boost::math::bernoulli_distribution; // of type RealType.
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.5)).success_fraction(), static_cast<RealType>(0.5));
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L)).success_fraction(), static_cast<RealType>(0.1L));
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.9L)).success_fraction(), static_cast<RealType>(0.9L));
+
+  BOOST_MATH_CHECK_THROW( // Constructor success_fraction outside 0 to 1.
+       bernoulli_distribution<RealType>(static_cast<RealType>(2)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+       bernoulli_distribution<RealType>(static_cast<RealType>(-2)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf( // pdf k neither 0 nor 1.
+          bernoulli_distribution<RealType>(static_cast<RealType>(0.25L)), static_cast<RealType>(-1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf( // pdf k neither 0 nor 1.
+          bernoulli_distribution<RealType>(static_cast<RealType>(0.25L)), static_cast<RealType>(2)), std::domain_error);
+ 
+  BOOST_CHECK_EQUAL(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.5)); // Expect 1 - p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.4L), tolerance); // Expect  1 - p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.4L), tolerance); // Expect  1- p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.4L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.6L), tolerance); // Expect  1- p.
+
+  BOOST_CHECK_EQUAL(
+       mean(bernoulli_distribution<RealType>(static_cast<RealType>(0.5L))), static_cast<RealType>(0.5L));
+
+  BOOST_CHECK_EQUAL(
+       mean(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(0.1L));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       variance(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(0.09L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       skewness(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(2.666666666666666666666666666666666666666666L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(8.11111111111111111111111111111111111111111111L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis_excess(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(5.11111111111111111111111111111111111111111111L),
+       tolerance);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(2)), // prob >1
+        static_cast<RealType>(0)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(-1)), // prob < 0
+        static_cast<RealType>(0)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), // k >1
+        static_cast<RealType>(-1)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), // k < 0
+        static_cast<RealType>(2)), std::domain_error
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0)), 
+        static_cast<RealType>(0.4L), // 1 - p
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(1)), 
+        static_cast<RealType>(1), // p
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(1))), 
+        static_cast<RealType>(0),
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0))), 
+        static_cast<RealType>(0.6L),
+        tolerance
+     );
+
+  BOOST_CHECK_EQUAL(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.1L)),  // < p
+        static_cast<RealType>(0) 
+     );
+
+  BOOST_CHECK_EQUAL(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.9L)),  // > p
+        static_cast<RealType>(1) 
+     );
+
+   BOOST_CHECK_EQUAL(
+     quantile(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.1L))),  // < p
+        static_cast<RealType>(1) 
+     );
+
+   BOOST_CHECK_EQUAL(
+     quantile(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.9L))),  // > p
+        static_cast<RealType>(0) 
+     );
+
+   // Checks for 'bad' parameters.
+   // Construction.
+   BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(-1), std::domain_error); // p outside 0 to 1.
+   BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(+2), std::domain_error); // p outside 0 to 1.
+
+   // Parameters.
+   bernoulli_distribution<RealType> dist(RealType(1)); 
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 2), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+     
+   // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   { 
+    // Attempt to construct from non-finite should throw.
+     RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> b(nan), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(nan), std::domain_error);
+#endif
+    // Non-finite parameters should throw.
+     bernoulli_distribution<RealType> b(RealType(1)); 
+     BOOST_MATH_CHECK_THROW(pdf(b, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(b, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(complement(b, +nan)), std::domain_error); // x = + nan
+     BOOST_MATH_CHECK_THROW(quantile(b, +nan), std::domain_error); // p = + nan
+     BOOST_MATH_CHECK_THROW(quantile(complement(b, +nan)), std::domain_error); // p = + nan
+  } // has_quiet_NaN
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     RealType inf = std::numeric_limits<RealType>::infinity(); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> w(inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(inf), std::domain_error);
+#endif
+     bernoulli_distribution<RealType> w(RealType(1)); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> w(inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(inf), std::domain_error);
+#endif
+     BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+     BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+   } // has_infinity
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate bernoulli distribution using both convenience methods:
+   bernoulli_distribution<double> bn1(0.5); // Using default RealType double.
+   boost::math::bernoulli bn2(0.5); // Using typedef. 
+
+  BOOST_CHECK_EQUAL(bn1.success_fraction(), 0.5);
+  BOOST_CHECK_EQUAL(bn2.success_fraction(), 0.5);
+
+  BOOST_CHECK_EQUAL(kurtosis(bn2) -3, kurtosis_excess(bn2));
+  BOOST_CHECK_EQUAL(kurtosis_excess(bn2), -2);
+
+  //using namespace boost::math; or 
+  using boost::math::bernoulli;
+
+  double tol5eps = std::numeric_limits<double>::epsilon() * 5; // 5 eps as a fraction.
+  // Default bernoulli is type double, so these test values should also be type double.
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(bernoulli(0.1)), 5.11111111111111111111111111111111111111111111111111, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(bernoulli(0.9)), 5.11111111111111111111111111111111111111111111111111, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(bernoulli(0.6)), 1./0.4 + 1./0.6 -3., tol5eps);
+  BOOST_CHECK_EQUAL(kurtosis(bernoulli(0)), +std::numeric_limits<double>::infinity());
+  BOOST_CHECK_EQUAL(kurtosis(bernoulli(1)), +std::numeric_limits<double>::infinity());
+ // 
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_bernouilli.exe"
+  Running 1 test case...
+  Tolerance for type float is 1.19e-005 (or 0.00119%).
+  Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+  Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+  Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+  
+  *** No errors detected
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_bernoulli_constants.cpp b/src/boost/libs/math/test/test_bernoulli_constants.cpp
new file mode 100644
index 00000000..9f66351c
--- /dev/null
+++ b/src/boost/libs/math/test/test_bernoulli_constants.cpp
@@ -0,0 +1,236 @@
+//  (C) Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/bernoulli.hpp>
+#include <libs/math/test/table_type.hpp>
+#include <boost/math/tools/test.hpp>
+#include <iostream>
+#include <iomanip>
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+
+template <class T>
+void test(const char* name)
+{
+   std::cout << "Testing type " << name << ":\n";
+
+   static const typename table_type<T>::type data[] = 
+   {
+      /* First 50 from 2 to 100 inclusive: */
+      /* TABLE[N[BernoulliB[n], 200], {n,2,100,2}] */
+
+      SC_(0.1666666666666666666666666666666666666666), 
+      SC_(-0.0333333333333333333333333333333333333333), 
+      SC_(0.0238095238095238095238095238095238095238), 
+      SC_(-0.0333333333333333333333333333333333333333), 
+      SC_(0.0757575757575757575757575757575757575757), 
+      SC_(-0.2531135531135531135531135531135531135531), 
+      SC_(1.1666666666666666666666666666666666666666), 
+      SC_(-7.0921568627450980392156862745098039215686), 
+      SC_(54.9711779448621553884711779448621553884711), 
+      SC_(-529.1242424242424242424242424242424242424242), 
+      SC_(6192.1231884057971014492753623188405797101449), 
+      SC_(-86580.2531135531135531135531135531135531135531), 
+      SC_(1.4255171666666666666666666666666666666666e6), 
+      SC_(-2.7298231067816091954022988505747126436781e7), 
+      SC_(6.0158087390064236838430386817483591677140e8), 
+      SC_(-1.5116315767092156862745098039215686274509e10), 
+      SC_(4.2961464306116666666666666666666666666666e11), 
+      SC_(-1.3711655205088332772159087948561632772159e13), 
+      SC_(4.8833231897359316666666666666666666666666e14), 
+      SC_(-1.9296579341940068148632668144863266814486e16), 
+      SC_(8.4169304757368261500055370985603543743078e17), 
+      SC_(-4.0338071854059455413076811594202898550724e19), 
+      SC_(2.1150748638081991605601453900709219858156e21), 
+      SC_(-1.2086626522296525934602731193708252531781e23), 
+      SC_(7.5008667460769643668557200757575757575757e24), 
+      SC_(-5.0387781014810689141378930305220125786163e26), 
+      SC_(3.6528776484818123335110430842971177944862e28), 
+      SC_(-2.8498769302450882226269146432910678160919e30), 
+      SC_(2.3865427499683627644645981919219214971751e32), 
+      SC_(-2.1399949257225333665810744765191097392674e34), 
+      SC_(2.0500975723478097569921733095672310251666e36), 
+      SC_(-2.0938005911346378409095185290027970184709e38), 
+      SC_(2.2752696488463515559649260352769264581469e40), 
+      SC_(-2.6257710286239576047303049736158202081449e42), 
+      SC_(3.2125082102718032518204792304264985243521e44), 
+      SC_(-4.1598278166794710913917074495262358936689e46), 
+      SC_(5.6920695482035280023883456219121058644480e48), 
+      SC_(-8.2183629419784575692290653468617333014550e50), 
+      SC_(1.2502904327166993016732339829702895524177e53), 
+      SC_(-2.0015583233248370274925329198813298768724e55), 
+      SC_(3.3674982915364374233396676903338753016219e57), 
+      SC_(-5.9470970503135447718660496844051540840579e59), 
+      SC_(1.1011910323627977559564130790437691604630e62), 
+      SC_(-2.1355259545253501188658385019041065678973e64), 
+      SC_(4.3328896986641192419616613059379206218451e66), 
+      SC_(-9.1885528241669328226200555215501897138960e68), 
+      SC_(2.0346896776329074493455027990220020065975e71), 
+      SC_(-4.7003833958035731078575255535006060654596e73), 
+      SC_(1.1318043445484249270675186257733934267890e76), 
+      SC_(-2.8382249570693706959264156336481764738284e78),
+
+      /* next 50 from 102 to 200: */
+      /* TABLE[N[BernoulliB[n], 200], {n,102,200,2}] */
+
+      SC_(7.4064248979678850629750827140920984176879e80), 
+      SC_(-2.0096454802756604483465619672715363186867e83), 
+      SC_(5.6657170050805941445719346030519356961419e85), 
+      SC_(-1.6584511154136216915823713374319912301494e88), 
+      SC_(5.0368859950492377419289421915180154812442e90), 
+      SC_(-1.5861468237658186369363401572966438782740e93), 
+      SC_(5.1756743617545626984073240682507122561240e95), 
+      SC_(-1.7488921840217117339690025877618159145141e98), 
+      SC_(6.1160519994952185255824525264264167780767e100), 
+      SC_(-2.2122776912707834942288323456712932445573e103), 
+      SC_(8.2722776798770969854221062459984595731204e105), 
+      SC_(-3.1958925111415709583591634369180814873526e108), 
+      SC_(1.2750082223387792982310024302926679866957e111), 
+      SC_(-5.2500923086774133899402824624565175446919e113), 
+      SC_(2.2301817894241625209869298198838728143738e116), 
+      SC_(-9.7684521930955204438633513398980239301166e118), 
+      SC_(4.4098361978452954272272622874813169191875e121), 
+      SC_(-2.0508570886464088839729337727583015486456e124), 
+      SC_(9.8214433279791277107572969602097521041491e126), 
+      SC_(-4.8412600798208880508789196709963412761130e129), 
+      SC_(2.4553088801480982609783467404088690399673e132), 
+      SC_(-1.2806926804084747548782513278601785721811e135), 
+      SC_(6.8676167104668581192101888598464400436092e137), 
+      SC_(-3.7846468581969104694978995416379556814489e140), 
+      SC_(2.1426101250665291550871323135148272096660e143), 
+      SC_(-1.2456727137183695007019642961637607219458e146), 
+      SC_(7.4345787551000152543679668394052061311780e148), 
+      SC_(-4.5535795304641704894063333223321274876772e151), 
+      SC_(2.8612112816858868345363847251017232522918e154), 
+      SC_(-1.8437723552033869727688202653628785487541e157), 
+      SC_(1.2181154536221046699501316506599521355817e160), 
+      SC_(-8.2482187185314121548481845729689344730141e162), 
+      SC_(5.7225877937832943329651649814297861591868e165), 
+      SC_(-4.0668530525059104726767969383115865560219e168), 
+      SC_(2.9596092064642050062875269581585187042637e171), 
+      SC_(-2.2049522565189457509031175227344598483637e174), 
+      SC_(1.6812597072889599805831152515136066575446e177), 
+      SC_(-1.3116736213556957648645280635581715300443e180), 
+      SC_(1.0467894009478038082183285392982308964382e183), 
+      SC_(-8.5432893578833707718598254629908277459327e185), 
+      SC_(7.1287821322486542352288406677143822472124e188), 
+      SC_(-6.0802931455535899300084711868647745846198e191), 
+      SC_(5.2996776424849923930094291004324726622848e194), 
+      SC_(-4.7194259168745862644364622901337991110376e197), 
+      SC_(4.2928413791402981089416829654107466904552e200), 
+      SC_(-3.9876744968232207443447765554293879510665e203), 
+      SC_(3.7819780419358882713894418116139332789822e206), 
+      SC_(-3.6614233683681191243685808215119734875519e209), 
+      SC_(3.6176090272372862348855460929891408947754e212), 
+      SC_(-3.6470772645191354362138308865549944904868e215),
+   };
+
+   T tol = boost::math::tools::epsilon<T>() * 20;
+   for(unsigned i = 1; i <= 100; ++i)
+   {
+      T b2n = boost::math::bernoulli_b2n<T>(i);
+      T t2n = boost::math::tangent_t2n<T>(i);
+      if((boost::math::isinf)(b2n))
+      {
+         if(!(boost::math::isinf)(data[i - 1]))
+         {
+            std::cout << "When calculating B2N(" << i << ")\n";
+            BOOST_ERROR("Got an infinity when one wasn't expected");
+         }
+         else if((b2n > 0) != (data[i - 1] > 0))
+         {
+            std::cout << "When calculating B2N(" << i << ")\n";
+            BOOST_ERROR("Sign of infinity was incorrect");
+         }
+      }
+      else if((boost::math::isnan)(b2n))
+      {
+         std::cout << "When calculating B2N(" << i << ")\n";
+         BOOST_ERROR("Result of B2n was a NaN, and that should never happen!");
+      }
+      else
+      {
+         BOOST_CHECK_CLOSE_FRACTION(b2n, data[i - 1], tol);
+      }
+      if(i <= boost::math::max_bernoulli_b2n<T>::value)
+      {
+         BOOST_CHECK_EQUAL(b2n, boost::math::unchecked_bernoulli_b2n<T>(i));
+      }
+      if((boost::math::isfinite)(t2n) && (t2n < boost::math::tools::max_value<T>()))
+      {
+         T p = ldexp(T(1), 2 * i);
+         int s = i & 1 ? 1 : -1;
+         p = t2n / (s * p * (p - 1));
+         p *= 2 * i;
+         BOOST_CHECK_CLOSE_FRACTION(p, b2n, tol);
+      }
+   }
+   //
+   // Test consistency of array interface:
+   //
+   T bn[boost::math::max_bernoulli_b2n<T>::value + 20];
+   boost::math::bernoulli_b2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
+
+   for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
+   {
+      BOOST_CHECK_EQUAL(bn[i], boost::math::bernoulli_b2n<T>(i));
+   }
+
+   boost::math::tangent_t2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
+
+   for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
+   {
+      BOOST_CHECK_EQUAL(bn[i], boost::math::tangent_t2n<T>(i));
+   }
+   //
+   // Some spot tests for things that should throw exceptions:
+   //
+   static unsigned overflow_index = boost::is_same<T, boost::math::concepts::real_concept>::value ?
+      boost::math::max_bernoulli_b2n<long double>::value + 5 : boost::math::max_bernoulli_b2n<T>::value + 5;
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::bernoulli_b2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tangent_t2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
+#endif
+}
+
+void test_real_concept_extra()
+{
+   boost::math::concepts::real_concept tol = boost::math::tools::epsilon<boost::math::concepts::real_concept>() * 20;
+   for(unsigned i = 0; i <= boost::math::max_bernoulli_b2n<long double>::value; ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<boost::math::concepts::real_concept>(boost::math::bernoulli_b2n<long double>(i)), boost::math::bernoulli_b2n<boost::math::concepts::real_concept>(i), tol);
+   }
+   for(unsigned i = 1; i < 500; ++i)
+   {
+      boost::math::concepts::real_concept r = boost::math::bernoulli_b2n<long double>(i + boost::math::max_bernoulli_b2n<long double>::value);
+      if((i + boost::math::max_bernoulli_b2n<long double>::value) & 1)
+      {
+         BOOST_CHECK(r >= boost::math::tools::max_value<boost::math::concepts::real_concept>());
+      }
+      else
+      {
+         BOOST_CHECK(r <= -boost::math::tools::max_value<boost::math::concepts::real_concept>());
+      }
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test<float>("float");
+   test<double>("double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test<long double>("long double");
+   test<boost::math::concepts::real_concept>("real_concept");
+   test_real_concept_extra();
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_bessel_airy_zeros.cpp b/src/boost/libs/math/test/test_bessel_airy_zeros.cpp
new file mode 100644
index 00000000..e6d9b2ee
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_airy_zeros.cpp
@@ -0,0 +1,985 @@
+//  Copyright John Maddock 2013
+//  Copyright Christopher Kormanyos 2013.
+//  Copyright Paul A. Bristow 2013.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#  pragma warning(disable : 4512) // assignment operator could not be generated.
+#  pragma warning(disable : 4996) // use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+//#include <pch_light.hpp> // commented out during testing.
+
+//#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/cstdint.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/airy.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <typeinfo>
+#include <iostream>
+#include <iomanip>
+
+// #include <boost/math/tools/
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions that evaluate zeros (or roots) of Bessel, Neumann and Airy functions.
+
+// Spot tests which compare our results with selected values computed
+// using the online special function calculator at functions.wolfram.com,
+// and values generated with Boost.Multiprecision at about 1000-bit or 100 decimal digits precision.
+
+// We are most grateful for the invaluable
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// and the newer http://www.wolframalpha.com/
+
+// See also NIST Handbook of Mathematical Function http://dlmf.nist.gov/10.21
+/*
+Tests of cyl Bessel and cyl Neumann zeros.
+==========================================
+
+The algorithms for estimating the roots of both cyl. Bessel
+as well as cyl. Neumann have the same cross-over points,
+and also use expansions that have the same order of approximation.
+
+Therefore, tests will be equally effective for both functions in the regions of order.
+
+I have recently changed a critical cross-over in the algorithms
+from a value of order of 1.2 to a value of order of 2.2.
+In addition, there is a critical cross-over in the rank of the
+zero from rank 1 to rank 2 and above. The first zero is
+treated differently than the remaining ones.
+
+The test cover various regions of order,
+each one tested with several zeros:
+  * Order 219/100: This checks a region just below a critical cutof.
+  * Order 221/100: This checks a region just above a critical cutoff.
+  * Order 0: Something always tends to go wrong at zero.
+  * Order 1/1000: A small order.
+  * Order 71/19: Merely an intermediate order.
+  * Order 7001/19: A medium-large order, small enough to retain moderate efficiency of calculation.
+
+There are also a few selected high zeros
+such as the 1000th zero for a few modest orders such as 71/19, etc.
+
+Tests of Airy zeros.
+====================
+
+The Airy zeros algorithms use tabulated values for the first 10 zeros,
+whereby algorithms are used for rank 11 and higher.
+So testing the zeros of Ai and Bi from 1 through 20 handles
+this cross-over nicely.
+
+In addition, the algorithms for the estimates of the zeros
+become increasingly accurate for larger, negative argument.
+
+On the other hand, the zeros become increasingly close
+for large, negative argument. So another nice test
+involves testing pairs of zeros for different orders of
+magnitude of the zeros, to insure that the program
+properly resolves very closely spaced zeros.
+*/
+
+
+template <class RealType>
+void test_bessel_zeros(RealType)
+{
+  // Basic sanity checks for finding zeros of Bessel and Airy function.
+  // where template parameter RealType can be float, double, long double,
+  // or real_concept, a prototype for user-defined floating-point types.
+
+  // Parameter RealType is only used to communicate the RealType, float, double...
+  // and is an arbitrary zero for all tests.
+   RealType tolerance = 5 * (std::max)(
+     static_cast<RealType>(boost::math::tools::epsilon<long double>()),
+     boost::math::tools::epsilon<RealType>());
+   std::cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << std::endl;
+   //
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   RealType tolerance_tgamma_extra = std::numeric_limits<RealType>::is_specialized ? 1 : 15;
+
+   // http://www.wolframalpha.com/
+   using boost::math::cyl_bessel_j_zero; // (nu, j)
+   using boost::math::isnan;
+
+  BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(0), 0), std::domain_error);
+  // BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(-1), 2), std::domain_error);
+  // From 83051 negative orders are supported.
+
+  // Abuse with infinity and max.
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    //BOOST_CHECK_EQUAL(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::infinity()), 1),
+    //  static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+    // unknown location(0): fatal error in "test_main":
+    // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >:
+    // Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Order argument is 1.#INF, but must be finite >= 0 !
+    // Note that the reported type long double is not the type of the original call RealType,
+    // but the promoted value, here long double, if applicable.
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::infinity()), 1),
+     std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(-std::numeric_limits<RealType>::infinity()), 1),
+     std::domain_error);
+
+  }
+  // Test with maximum value of v that will cause evaluation error
+  //BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(boost::math::tools::max_value<RealType>(), 1), std::domain_error);
+  // unknown location(0): fatal error in "test_main":
+  // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class boost::math::evaluation_error> >:
+  // Error in function boost::math::bessel_jy<double>(double,double): Order of Bessel function is too large to evaluate: got 3.4028234663852886e+038
+
+  BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(boost::math::tools::max_value<RealType>(), 1), boost::math::evaluation_error);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(boost::math::tools::min_value<RealType>(), 1),
+    static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(-cyl_bessel_j_zero(boost::math::tools::min_value<RealType>(), 1),
+    static_cast<RealType>(-2.4048255576957727686216318793264546431242449091460L), tolerance);
+
+  // Checks on some spot values.
+
+  // http://mathworld.wolfram.com/BesselFunctionZeros.html provides some spot values,
+  // evaluation at 50 deciaml digits using WoldramAlpha.
+
+  /* Table[N[BesselJZero[0, n], 50], {n, 1, 5, 1}]
+  n |
+  1 | 2.4048255576957727686216318793264546431242449091460
+  2 | 5.5200781102863106495966041128130274252218654787829
+  3 | 8.6537279129110122169541987126609466855657952312754
+  4 | 11.791534439014281613743044911925458922022924699695
+  5 | 14.930917708487785947762593997388682207915850115633
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 1), static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 2), static_cast<RealType>(5.5200781102863106495966041128130274252218654787829L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 3), static_cast<RealType>(8.6537279129110122169541987126609466855657952312754L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 4), static_cast<RealType>(11.791534439014281613743044911925458922022924699695L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 5), static_cast<RealType>(14.930917708487785947762593997388682207915850115633L), tolerance);
+
+  { // Same test using the multiple zeros version.
+    std::vector<RealType> zeros;
+    cyl_bessel_j_zero(static_cast<RealType>(0.0), 1, 3, std::back_inserter(zeros) );
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], static_cast<RealType>(5.5200781102863106495966041128130274252218654787829L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], static_cast<RealType>(8.6537279129110122169541987126609466855657952312754L), tolerance);
+  }
+  // 1/1000 a small order.
+  /* Table[N[BesselJZero[1/1000, n], 50], {n, 1, 4, 1}]
+  n |
+1 | 2.4063682720422009275161970278295108254321633626292
+2 | 5.5216426858401848664019464270992222126391378706092
+3 | 8.6552960859298799453893840513333150237193779482071
+4 | 11.793103797689738596231262077785930962647860975357
+
+Table[N[BesselJZero[1/1000, n], 50], {n, 10, 20, 1}]
+n |
+10 | 30.636177039613574749066837922778438992469950755736
+11 | 33.777390823252864715296422192027816488172667994611
+12 | 36.918668992567585467000743488690258054442556198147
+13 | 40.059996426251227493370316149043896483196561190610
+14 | 43.201362392820317233698309483240359167380135262681
+15 | 46.342759065846108737848449985452774243376260538634
+16 | 49.484180603489984324820981438067325210499739716337
+17 | 52.625622557085775090390071484188995092211215108718
+18 | 55.767081479279692992978326069855684800673801918763
+19 | 58.908554657366270044071505013449016741804538135905
+20 | 62.050039927521244984641179233170843941940575857282
+
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 1), static_cast<RealType>(2.4063682720422009275161970278295108254321633626292L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 4), static_cast<RealType>(11.793103797689738596231262077785930962647860975357L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 10), static_cast<RealType>(30.636177039613574749066837922778438992469950755736L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 20), static_cast<RealType>(62.050039927521244984641179233170843941940575857282L), tolerance);
+
+    /*
+  Table[N[BesselJZero[1, n], 50], {n, 1, 4, 1}]
+  n |
+  1 | 3.8317059702075123156144358863081607665645452742878
+  2 | 7.0155866698156187535370499814765247432763115029142
+  3 | 10.173468135062722077185711776775844069819512500192
+  4 | 13.323691936314223032393684126947876751216644731358
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 1), static_cast<RealType>(3.8317059702075123156144358863081607665645452742878L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 2), static_cast<RealType>(7.0155866698156187535370499814765247432763115029142L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 3), static_cast<RealType>(10.173468135062722077185711776775844069819512500192L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 4), static_cast<RealType>(13.323691936314223032393684126947876751216644731358L), tolerance);
+
+  /*
+  Table[N[BesselJZero[5, n], 50], {n, 1, 5, 1}]
+  n |
+  1 | 8.7714838159599540191228671334095605629810770148974
+  2 | 12.338604197466943986082097644459004412683491122239
+  3 | 15.700174079711671037587715595026422501346662246893
+  4 | 18.980133875179921120770736748466932306588828411497
+  5 | 22.217799896561267868824764947529187163096116704354
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 1), static_cast<RealType>(8.7714838159599540191228671334095605629810770148974L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 2), static_cast<RealType>(12.338604197466943986082097644459004412683491122239L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 3), static_cast<RealType>(15.700174079711671037587715595026422501346662246893L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 4), static_cast<RealType>(18.980133875179921120770736748466932306588828411497L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 5), static_cast<RealType>(22.217799896561267868824764947529187163096116704354L), tolerance);
+
+  // An intermediate order
+  /*
+  Table[N[BesselJZero[71/19, n], 50], {n, 1, 20, 1}]
+
+  7.27317519383164895031856942622907655889631967016227,
+  10.7248583088831417325361727458514166471107495990849,
+  14.0185045994523881061204595580426602824274719315813,
+  17.2524984591704171821624871665497773491959038386104,
+  20.4566788740445175951802340838942858854605020778141,
+  23.6436308971423452249455142271473195998540517250404,
+  26.8196711402550877454213114709650192615223905192969,
+  29.9883431174236747426791417966614320438788681941419,
+  33.1517968976905208712508624699734452654447919661140,
+  36.3114160002162074157243540350393860813165201842005,
+  39.4681324675052365879451978080833378877659670320292,
+  42.6225978013912364748550348312979540188444334802274,
+  45.7752814645368477533902062078067265814959500124386,
+  48.9265304891735661983677668174785539924717398947994,
+  52.0766070453430027942797460418789248768734780634716,
+  55.2257129449125713935942243278172656890590028901917,
+  58.3740061015388864367751881504390252017351514189321,
+  61.5216118730009652737267426593531362663909441035715,
+  64.6686310537909303683464822148736607945659662871596,
+  67.8151456196962909255567913755559511651114605854579
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 1), static_cast<RealType>(7.27317519383164895031856942622907655889631967016227L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 4), static_cast<RealType>(17.2524984591704171821624871665497773491959038386104L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 10), static_cast<RealType>(36.3114160002162074157243540350393860813165201842005L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 20), static_cast<RealType>(67.8151456196962909255567913755559511651114605854579L), tolerance);
+  /*
+
+  Table[N[BesselJZero[7001/19, n], 50], {n, 1, 2, 1}]
+
+1 | 381.92201523024489386917204470434842699154031135348
+2 | 392.17508657648737502651299853099852567001239217724
+
+Table[N[BesselJZero[7001/19, n], 50], {n, 19, 20, 1}]
+
+19 | 491.67809669154347398205298745712766193052308172472
+20 | 496.39435037938252557535375498577989720272298310802
+
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(381.92201523024489386917204470434842699154031135348L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 2), static_cast<RealType>(392.17508657648737502651299853099852567001239217724L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 20), static_cast<RealType>(496.39435037938252557535375498577989720272298310802L), tolerance);
+
+  // Some non-integral tests.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(3.73684210526315789473684210526315789473684210526315789L), 1), static_cast<RealType>(7.273175193831648950318569426229076558896319670162279791988152000556091140599946365217211157877052381L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(3.73684210526315789473684210526315789473684210526315789L), 20), static_cast<RealType>(67.81514561969629092555679137555595116511146058545787883557679231060644931096494584364894743334132014L), tolerance);
+
+  // Some non-integral tests in 'tough' regions.
+  // Order 219/100: This checks a region just below a critical cutoff.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 1), static_cast<RealType>(5.37568854370623186731066365697341253761466705063679L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 2), static_cast<RealType>(8.67632060963888122764226633146460596009874991130394L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 20), static_cast<RealType>(65.4517712237598926858973399895944886397152223643028L), tolerance);
+  // Order 221/100: This checks a region just above a critical cutoff.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 1), static_cast<RealType>(5.40084731984998184087380740054933778965260387203942L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 2), static_cast<RealType>(8.70347906513509618445695740167369153761310106851599L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 20), static_cast<RealType>(65.4825314862621271716158606625527548818843845600782L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(381.922015230244893869172044704348426991540311353476L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 2), static_cast<RealType>(392.175086576487375026512998530998525670012392177242L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 20), static_cast<RealType>(496.394350379382525575353754985779897202722983108025L), tolerance);
+
+  // Zero'th cases.
+  BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), 0), std::domain_error); // Zero'th zero of J0(x).
+  BOOST_CHECK(boost::math::cyl_bessel_j_zero(static_cast<RealType>(1), 0) == 0); // Zero'th zero of J1(x).
+  BOOST_CHECK(boost::math::cyl_bessel_j_zero(static_cast<RealType>(2), 0) == 0); // Zero'th zero of J2(x).
+
+
+  // Negative order cases.
+  // Table[N[BesselJZero[-39, n], 51], {n, 1, 20, 1}]
+
+  //  45.597624026432090522996531982029164361723758769649
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 1), static_cast<RealType>(45.597624026432090522996531982029164361723758769649L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 2), static_cast<RealType>(50.930599960211455519691708196247756810739999585797L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 4), static_cast<RealType>(59.810708207036942166964205243063534405954475825070L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 10), static_cast<RealType>(82.490310026657839398140015188318580114553721419436L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 15), static_cast<RealType>(99.886172950858129702511715161572827825877395517083L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 20), static_cast<RealType>(116.73117751356457774415638043701531989536641098359L), tolerance);
+
+   // Table[N[BesselJZero[-39 - (1/3), n], 51], {n, 1, 20, 1}]
+
+   // 43.803165820025277290601047312311146608776920513241
+   // 49.624678304306778749502719837270544976331123155017
+
+    RealType v = static_cast<RealType>(-39);
+
+    v -= boost::math::constants::third<RealType>();
+
+   // BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(43.803165820025277290601047312311146608776920513241L), tolerance);
+  //  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(43.803165820025277290601047312311146608776920513241L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(49.624678304306778749502719837270544976331123155017L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 5), static_cast<RealType>(62.911281619408963609400485687996804820400102193455L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 10), static_cast<RealType>(81.705998611506506523381866527389118594062841737382L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 20), static_cast<RealType>(116.05368337161392034833932554892349580959931408963L), tolerance * 4);
+
+
+  // Table[N[BesselJZero[-1/3, n], 51], {n, 1, 20, 1}]
+    // 1.86635085887389517154698498025466055044627209492336
+    // 4.98785323143515872689263163814239463653891121063534
+    v = - boost::math::constants::third<RealType>();
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(1.86635085887389517154698498025466055044627209492336L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(4.98785323143515872689263163814239463653891121063534L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(14.4037758801360172217813556328092353168458341692115L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(61.5239847181314647255554392599009248210564008120358L), tolerance);
+
+  // Table[N[BesselJZero[-3 - (999999/1000000), n], 51], {n, 1, 20, 1}]
+    // 0.666908567552422764702292353801313970109968787260547
+    //7.58834489983121936102504707121493271448122800440112
+
+    std::cout.precision(2 + std::numeric_limits<RealType>::digits * 3010/10000);
+    v = -static_cast<RealType>(3);
+    //std::cout << "v = " << v << std::endl;
+    RealType d = static_cast<RealType>(999999)/1000000; // Value very near to unity.
+    //std::cout << "d = " << d << std::endl;
+    v -= d;
+   // std::cout << "v = " << v << std::endl; //   v = -3.9999989999999999
+
+    // 1st is much less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(0.666908567552422764702292353801313970109968787260547L), tolerance * 500000);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(7.58834489983121936102504707121493271448122800440112L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(17.6159678964372778134202353240221384945968807948928L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(65.0669968910414433560468307554730940098734494938136L), tolerance);
+
+
+    v = -static_cast<RealType>(1)/81799; // Largish prime, so small value.
+    // std::cout << "v = " << v << std::endl; // v = -1.22251e-005
+
+   // Table[N[BesselJZero[-1/81799, n], 51], {n, 1, 20, 1}]
+
+    // 2.40480669570616362235270726259606288441474232101937
+    //5.52005898213436490056801834487410496538653938730884
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(2.40480669570616362235270726259606288441474232101937L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(5.52005898213436490056801834487410496538653938730884L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(14.9308985160466385806685583210609848822943295303368L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(62.0484499877253314338528593349200129641402661038743L), tolerance);
+
+  // Confirm that negative m throws domain_error.
+  BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1), std::domain_error);
+  // unknown location(0): fatal error in "test_main":
+  // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >:
+  // Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Requested the -1'th zero, but must be > 0 !
+
+  // Confirm that a C-style ignore_all policy returns NaN for bad input.
+  typedef boost::math::policies::policy<
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+              > ignore_all_policy;
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 1), std::domain_error);
+    // Check that bad m returns NaN if policy is no throws.
+    BOOST_CHECK((boost::math::isnan<RealType>)(cyl_bessel_j_zero(std::numeric_limits<RealType>::quiet_NaN(), 1, ignore_all_policy())) );
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), -1), std::domain_error);
+  }
+  else
+  { // real_concept bad m returns zero.
+    //std::cout << boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1, ignore_all_policy()) << std::endl; // 0 for real_concept.
+      BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1, ignore_all_policy() ), 0);
+  }
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 1), std::domain_error);
+    // Check that NaN is returned if error ignored.
+    BOOST_CHECK((boost::math::isnan<RealType>)(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 1, ignore_all_policy())) );
+  }
+
+  // Tests of cyc_neumann zero function (BesselYZero in Wolfram) for spot values.
+  /*
+  Table[N[BesselYZero[0, n], 50], {n, 1, 5, 1}]
+n |
+1 | 0.89357696627916752158488710205833824122514686193001
+2 | 3.9576784193148578683756771869174012814186037655636
+3 | 7.0860510603017726976236245968203524689715103811778
+4 | 10.222345043496417018992042276342187125994059613181
+5 | 13.361097473872763478267694585713786426579135174880
+
+Table[N[BesselYZero[0, n], 50], {n, 1, 5, 1}]
+
+n | 
+1 | 0.89357696627916752158488710205833824122514686193001
+2 | 3.9576784193148578683756771869174012814186037655636
+3 | 7.0860510603017726976236245968203524689715103811778
+4 | 10.222345043496417018992042276342187125994059613181
+5 | 13.361097473872763478267694585713786426579135174880
+
+So K == Y
+
+Table[N[BesselYZero[1, n], 50], {n, 1, 5, 1}]
+n |
+1 | 2.1971413260310170351490335626989662730530183315003
+2 | 5.4296810407941351327720051908525841965837574760291
+3 | 8.5960058683311689264296061801639678511029215669749
+4 | 11.749154830839881243399421939922350714301165983279
+5 | 14.897442128336725378844819156429870879807150630875
+
+Table[N[BesselYZero[2, n], 50], {n, 1, 5, 1}]
+n |
+1 | 3.3842417671495934727014260185379031127323883259329
+2 | 6.7938075132682675382911671098369487124493222183854
+3 | 10.023477979360037978505391792081418280789658279097
+4 | 13.209986710206416382780863125329852185107588501072
+5 | 16.378966558947456561726714466123708444627678549687
+
+*/
+  // Some simple integer values.
+
+  using boost::math::cyl_neumann_zero;
+  // Bad rank m.
+  BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), 0), std::domain_error); // 
+  BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(std::numeric_limits<RealType>::quiet_NaN(), 1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+  }
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(std::numeric_limits<RealType>::infinity(), 2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+  }
+  // else no infinity tests.
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(0), 1), static_cast<RealType>(0.89357696627916752158488710205833824122514686193001L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1), 2), static_cast<RealType>(5.4296810407941351327720051908525841965837574760291L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(2), 3), static_cast<RealType>(10.023477979360037978505391792081418280789658279097L), tolerance);
+
+  /*
+  Table[N[BesselYZero[3, n], 50], {n, 1, 5, 1}]
+  1 | 4.5270246611496438503700268671036276386651555486109
+  2 | 8.0975537628604907044022139901128042290432231369075
+  3 | 11.396466739595866739252048190629504945984969192535
+  4 | 14.623077742393873174076722507725200649352970569915
+  5 | 17.818455232945520262553239064736739443380352162752
+  */
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 1), static_cast<RealType>(4.5270246611496438503700268671036276386651555486109L), tolerance * 2);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 2), static_cast<RealType>(8.0975537628604907044022139901128042290432231369075L), tolerance * 2);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 3), static_cast<RealType>(11.396466739595866739252048190629504945984969192535L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 4), static_cast<RealType>(14.623077742393873174076722507725200649352970569915L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 5), static_cast<RealType>(17.818455232945520262553239064736739443380352162752L), tolerance);
+
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 1), static_cast<RealType>(4.5270246611496438503700268671036276386651555486109L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 2), static_cast<RealType>(8.0975537628604907044022139901128042290432231369075L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 3), static_cast<RealType>(11.396466739595866739252048190629504945984969192535L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 4), static_cast<RealType>(14.623077742393873174076722507725200649352970569915L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 5), static_cast<RealType>(17.818455232945520262553239064736739443380352162752L), tolerance);
+
+  { // Repeat rest using multiple zeros version.
+    std::vector<RealType> zeros;
+    cyl_neumann_zero(static_cast<RealType>(0.0), 1, 3, std::back_inserter(zeros) );
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], static_cast<RealType>(0.89357696627916752158488710205833824122514686193001L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], static_cast<RealType>(3.9576784193148578683756771869174012814186037655636L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], static_cast<RealType>(7.0860510603017726976236245968203524689715103811778L), tolerance);
+  }
+  // Order 0: Something always tends to go wrong at zero.
+
+  /* Order 219/100: This checks accuracy in a region just below a critical cutoff.
+
+  Table[N[BesselKZero[219/100, n], 50], {n, 1, 20, 4}]
+1 | 3.6039149425338727979151181355741147312162055042157
+5 | 16.655399111666833825247894251535326778980614938275
+9 | 29.280564448169163756478439692311605757712873534942
+13 | 41.870269811145814760551599481942750124112093564643
+17 | 54.449180021209532654553613813754733514317929678038
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 1), static_cast<RealType>(3.6039149425338727979151181355741147312162055042157L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 5), static_cast<RealType>(16.655399111666833825247894251535326778980614938275L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 17), static_cast<RealType>(54.449180021209532654553613813754733514317929678038L), tolerance);
+
+  /* Order 221/100: This checks a region just above a critical cutoff.
+  Table[N[BesselYZero[220/100, n], 50], {n, 1, 20, 5}]
+  1 | 3.6154383428745996706772556069431792744372398748425
+  6 | 19.833435100254138641131431268153987585842088078470
+  11 | 35.592602956438811360473753622212346081080817891225
+  16 | 51.320322762482062633162699745957897178885350674038
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 1), static_cast<RealType>(3.6154383428745996706772556069431792744372398748425L), 2 * tolerance);
+  // Note * 2 tolerance needed - using cpp_dec_float_50 it computes exactly, probably because of extra guard digits in multiprecision decimal version.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 6), static_cast<RealType>(19.833435100254138641131431268153987585842088078470L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 11), static_cast<RealType>(35.592602956438811360473753622212346081080817891225L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 16), static_cast<RealType>(51.320322762482062633162699745957897178885350674038L), tolerance);
+
+  /*  Order 1/1000: A small order.
+  Table[N[BesselYZero[1/1000, n], 50], {n, 1, 20, 5}]
+  1 | 0.89502371604431360670577815537297733265776195646969
+  6 | 16.502492490954716850993456703662137628148182892787
+  11 | 32.206774708309182755790609144739319753463907110990
+  16 | 47.913467031941494147962476920863688176374357572509
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 1), static_cast<RealType>(0.89502371604431360670577815537297733265776195646969L), 2 * tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 6), static_cast<RealType>(16.5024924909547168509934567036621376281481828927870L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 11), static_cast<RealType>(32.206774708309182755790609144739319753463907110990L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 16), static_cast<RealType>(47.913467031941494147962476920863688176374357572509L), tolerance);
+
+  /* Order 71/19: Merely an intermediate order.
+  Table[N[BesselYZero[71/19, n], 50], {n, 1, 20, 5}]
+  1 | 5.3527167881149432911848659069476821793319749146616
+  6 | 22.051823727778538215953091664153117627848857279151
+  11 | 37.890091170552491176745048499809370107665221628364
+  16 | 53.651270581421816017744203789836444968181687858095
+  */
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 1), static_cast<RealType>(5.3527167881149432911848659069476821793319749146616L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 6), static_cast<RealType>(22.051823727778538215953091664153117627848857279151L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 11), static_cast<RealType>(37.890091170552491176745048499809370107665221628364L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 16), static_cast<RealType>(53.651270581421816017744203789836444968181687858095L), tolerance);
+
+  /* Order 7001/19: A medium-large order, small enough to retain moderate efficiency of calculation.
+
+  Table[N[BesselYZero[7001/19, n], 50], {n, 1}]
+   1 | 375.18866334770357669101711932706658671250621098115
+
+  Table[N[BesselYZero[7001/19, n], 50], {n, 2}]
+  Standard computation time exceeded :-(
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(375.18866334770357669101711932706658671250621098115L), tolerance);
+
+ /* A high zero such as the 1000th zero for a modest order such as 71/19.
+   Table[N[BesselYZero[71/19, n], 50], {n, 1000}]
+   Standard computation time exceeded :-(
+ */
+
+  /*
+  Test Negative orders cyl_neumann.
+
+  Table[N[BesselYZero[-1, n], 50], {n, 1, 10, 1}]
+  1 | 2.1971413260310170351490335626989662730530183315003
+  2 | 5.4296810407941351327720051908525841965837574760291
+  3 | 8.5960058683311689264296061801639678511029215669749
+  4 | 11.749154830839881243399421939922350714301165983279
+  5 | 14.897442128336725378844819156429870879807150630875
+  6 | 18.043402276727855564304555507889508902163088324834
+  7 | 21.188068934142213016142481528685423196935024604904
+  8 | 24.331942571356912035992944051850129651414333340303
+  9 | 27.475294980449223512212285525410668235700897307021
+  10 | 30.618286491641114715761625696447448310277939570868
+  11 | 33.761017796109325692471759911249650993879821495802
+  16 | 49.472505679924095824128003887609267273294894411716
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 1), static_cast<RealType>(2.1971413260310170351490335626989662730530183315003L), tolerance * 3);
+  // Note this test passes at tolerance for float, double and long double, but fails for real_concept if tolerance <= 2.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 6), static_cast<RealType>(18.043402276727855564304555507889508902163088324834L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 11), static_cast<RealType>(33.761017796109325692471759911249650993879821495802L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 16), static_cast<RealType>(49.472505679924095824128003887609267273294894411716L), tolerance * 3);
+
+ /*
+  Table[N[BesselYZero[-2, n], 50], {n, 1, 20, 5}]
+  1 | 3.3842417671495934727014260185379031127323883259329
+  6 | 19.539039990286384411511740683423888947393156497603
+  11 | 35.289793869635804143323234828826075805683602368473
+  16 | 51.014128749483902310217774804582826908060740157564
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 1), static_cast<RealType>(3.3842417671495934727014260185379031127323883259329L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 6), static_cast<RealType>(19.539039990286384411511740683423888947393156497603L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 11), static_cast<RealType>(35.289793869635804143323234828826075805683602368473L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 16), static_cast<RealType>(51.014128749483902310217774804582826908060740157564L), tolerance * 3);
+
+/*
+  Table[N[BesselYZero[-3, n], 51], {n, 1, 7, 1}]
+  1 | 4.52702466114964385037002686710362763866515554861094
+  2 | 8.09755376286049070440221399011280422904322313690750
+  3 | 11.3964667395958667392520481906295049459849691925349
+  4 | 14.6230777423938731740767225077252006493529705699150
+  5 | 17.8184552329455202625532390647367394433803521627517
+  6 | 20.9972847541877606834525058939528641630713169437070
+  7 | 24.1662357585818282287385597668220226288453739040042
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 1), static_cast<RealType>(4.52702466114964385037002686710362763866515554861094L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 2), static_cast<RealType>(8.09755376286049070440221399011280422904322313690750L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 4), static_cast<RealType>(14.6230777423938731740767225077252006493529705699150L), tolerance);
+
+/* Table[N[BesselKZero[-39, n], 51], {n, 1, 20, 5}]
+  1 | 42.2362394762664681287397356668342141701037684436723
+  6 | 65.8250353430045981408288669790173009159561533403819
+  11 | 84.2674082411341814641248554679382420802125973458922
+  16 | 101.589776978258493441843447810649346266014624868410
+*/
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 1), static_cast<RealType>(42.2362394762664681287397356668342141701037684436723L), tolerance );
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 6), static_cast<RealType>(65.8250353430045981408288669790173009159561533403819L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 11), static_cast<RealType>(84.2674082411341814641248554679382420802125973458922L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 16), static_cast<RealType>(101.589776978258493441843447810649346266014624868410L), tolerance);
+
+/* Table[N[BesselKZero[-39 -(1/3), n], 51], {n, 1, 20, 5}]
+  1 | 39.3336965099558453809241429692683050137281997313679
+  6 | 64.9038181444904768984884565999608291433823953030822
+  11 | 83.4922341795560713832607574604255239776551554961143
+  16 | 100.878386349724826125265571457142254077564666532665
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(39.3336965099558453809241429692683050137281997313679L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 6), static_cast<RealType>(64.9038181444904768984884565999608291433823953030822L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 11), static_cast<RealType>(83.4922341795560713832607574604255239776551554961143L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 16), static_cast<RealType>(100.878386349724826125265571457142254077564666532665L), tolerance * 4);
+/* Table[N[BesselKZero[-(1/3), n], 51], {n, 1, 20, 5}]
+n | 
+1 | 0.364442931311036254896373762996743259918847602789703
+6 | 15.9741013584105984633772025789145590038676373673203
+11 | 31.6799168750213003020847708007848147516190373648194
+16 | 47.3871543280673235432396563497681616285970326011211
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 1), static_cast<RealType>(0.364442931311036254896373762996743259918847602789703L), tolerance * 10);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 6), static_cast<RealType>(15.9741013584105984633772025789145590038676373673203L), tolerance * 10);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 11), static_cast<RealType>(31.6799168750213003020847708007848147516190373648194L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 16), static_cast<RealType>(47.3871543280673235432396563497681616285970326011211L), tolerance * 4);
+
+/* Table[N[BesselKZero[-3 -(9999/10000), n], 51], {n, 1, 20, 5}]
+  1 | 5.64546089250283694562642537496601708928630550185069
+  2 | 9.36184180108088288881787970896747209376324330610979
+  3 | 12.7303431758275183078115963473808796340618061355885
+  4 | 15.9998152121877557837972245675029531998475502716021
+  6 | 9.36184180108088288881787970896747209376324330610979
+  11 | 25.6104419106589739931633042959774157385787405502820
+  16 | 41.4361281441868132581487460354904567452973524446193
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 1), static_cast<RealType>(5.64546089250283694562642537496601708928630550185069L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 2), static_cast<RealType>(9.36184180108088288881787970896747209376324330610979L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 3), static_cast<RealType>(12.7303431758275183078115963473808796340618061355885L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 4), static_cast<RealType>(15.9998152121877557837972245675029531998475502716021L), tolerance * 4);
+ 
+/*  Table[N[BesselYZero[-3 -(9999/10000), n], 51], {n, 1, 7, 1}]
+1 | 5.64546089250283694562642537496601708928630550185069
+2 | 9.36184180108088288881787970896747209376324330610979
+3 | 12.7303431758275183078115963473808796340618061355885
+4 | 15.9998152121877557837972245675029531998475502716021
+
+// but 5 is same as 1!!  Acknowledged as fault Wolfram [TS 6475] 26 Feb 13.
+
+5 | 5.64546089250283694562642537496601708928630550184982
+6 | 9.36184180108088288881787970896747209376324330610979
+7 | 12.7303431758275183078115963473808796340618061355885
+
+In[26]:= FindRoot[BesselY[-3 -9999/10000, r] == 0, {r, 3}]  for r = 2,3, 4, 5 = {r->5.64546}
+
+In[26]:= FindRoot[BesselY[-3 -9999/10000, r] == 0, {r, 19}] = 19.2246
+
+So no very accurate reference value for these.
+
+Calculated using cpp_dec_float_50
+
+  5.6454608925028369456264253749660170892863055018498
+  9.3618418010808828888178797089674720937632433061099
+  12.730343175827518307811596347380879634061806135589
+  15.999815212187755783797224567502953199847550271602
+
+  19.224610865671563344572152795434688888375602299773
+  22.424988389021059116212186912990863561607855849204
+  25.610441910658973993163304295977415738578740550282
+  28.786066313968546073981640755202085944374967166411
+  31.954857624676521867923579695253822854717613513587
+    */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 1), static_cast<RealType>(5.64546089250283694562642537496601708928630550185069L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 2), static_cast<RealType>(9.36184180108088288881787970896747209376324330610979L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 3), static_cast<RealType>(12.7303431758275183078115963473808796340618061355885L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 4), static_cast<RealType>(15.9998152121877557837972245675029531998475502716021L), tolerance * 4);
+//  
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 5), static_cast<RealType>(19.224610865671563344572152795434688888375602299773L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 6), static_cast<RealType>(22.424988389021059116212186912990863561607855849204L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 7), static_cast<RealType>(25.610441910658973993163304295977415738578740550282L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 8), static_cast<RealType>(28.786066313968546073981640755202085944374967166411L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 9), static_cast<RealType>(31.954857624676521867923579695253822854717613513587L), tolerance * 4);
+
+
+// Plot[BesselYZero[-7 - v, 1], {v, 0, 1}]  shows discontinuity at the mid-point between integers.
+
+/* Table[N[BesselYZero[-7 - (4999/10000), n], 51], {n, 1, 4, 1}]
+  1 | 3.59209698655443348407622952525352410710983745802573
+  2 | 11.6573245781899449398248761667833391837824916603434
+  3 | 15.4315262542144355217979771618575628291362029097236
+  4 | 18.9232143766706670333395285892576635207736306576135
+*/
+
+/* Table[N[BesselYZero[-7 - (5001/10000), n], 51], {n, 1, 4, 1}]
+  1 | 11.6567397956147934678808863468662427054245897492445
+  2 | 15.4310521624769624067699131497395566368341140531722
+  3 | 18.9227840182910629037411848072684247564491740961847
+  4 | 22.2951449444372591060253508661432751300205474374696
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 1), static_cast<RealType>(3.59209698655443348407622952525352410710983745802573L), tolerance * 2000);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 2), static_cast<RealType>(11.6573245781899449398248761667833391837824916603434L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 3), static_cast<RealType>(15.4315262542144355217979771618575628291362029097236L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 4), static_cast<RealType>(18.9232143766706670333395285892576635207736306576135L), tolerance * 100);
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 1), static_cast<RealType>(11.6567397956147934678808863468662427054245897492445L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 2), static_cast<RealType>(15.4310521624769624067699131497395566368341140531722L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 3), static_cast<RealType>(18.9227840182910629037411848072684247564491740961847L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 4), static_cast<RealType>(22.2951449444372591060253508661432751300205474374696L), tolerance * 100);
+
+  //BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-(static_cast<RealType>(-3)-static_cast<RealType>(99)/100), 5), 
+  //  cyl_neumann_zero(+(static_cast<RealType>(-3)-static_cast<RealType>(99)/100), 5), tolerance * 100);
+  {
+    long double x = 1.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  {
+    long double x = 2.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  {
+    long double x = 3.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  // These are very close but not exactly same.
+  //{
+  //  RealType x = static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000;
+  //  BOOST_CHECK_CLOSE_FRACTION(
+  //    cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+  //    cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  //  // 19.2242889 and 19.2246113
+  //}
+  //{
+
+  //  RealType x = static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000;
+  //  BOOST_CHECK_CLOSE_FRACTION(
+  //    cyl_neumann_zero(-(static_cast<RealType>(x)), 6), 
+  //    cyl_neumann_zero(+(static_cast<RealType>(x)), 6), tolerance * 100);
+  //  // 22.4246693 and 22.4249878
+  //}
+
+
+
+  //  2.5  18.6890354  17.1033592
+
+
+/*Table[N[BesselYZero[-1/81799, n], 51], {n, 1, 10, 5}]
+
+1 | 0.893559276290122922836047849416713592133322804889757
+2 | 3.95765935645507004204986415533750122885237402118726
+3 | 7.08603190350579828577279552434514387474680226004173
+4 | 10.2223258629823064789904339889550588869985272176335
+5 | 13.3610782840659145864973521693322670264135672594988
+3 | 7.08603190350579828577279552434514387474680226004173
+5 | 13.3610782840659145864973521693322670264135672594988
+6 | 16.5009032471619898684110089652474861084220781491575
+7 | 19.6412905039556082160052482410981245043314155416354
+9 | 25.9229384536173175152381652048590136247796591153244
+*/
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 1), static_cast<RealType>(0.893559276290122922836047849416713592133322804889757L), tolerance * 4);
+  // Doesn't converge!
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 2), static_cast<RealType>(3.95765935645507004204986415533750122885237402118726L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 3), static_cast<RealType>(7.08603190350579828577279552434514387474680226004173L), tolerance * 4);
+  /* try positive x
+  Table[N[BesselYZero[1/81799, n], 51], {n, 1, 5, 1}]
+
+  1 | 0.893594656187326273432267210617481926490785928764963
+  2 | 3.95769748213950546166537901626409026826595687994956
+  3 | 7.08607021707716361104064671367526817399129653285580
+  4 | 10.2223642239960815612515914411615233651316361060338
+  5 | 13.3611166636685056799674772287389749065996094266976
+*/
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/81799, 2), static_cast<RealType>(3.95769748213950546166537901626409026826595687994956L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/81799, 3), static_cast<RealType>(7.08607021707716361104064671367526817399129653285580L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 4), static_cast<RealType>(10.2223258629823064789904339889550588869985272176335L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 5), static_cast<RealType>(13.3610782840659145864973521693322670264135672594988L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 6), static_cast<RealType>(16.5009032471619898684110089652474861084220781491575L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 9), static_cast<RealType>(25.9229384536173175152381652048590136247796591153244L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(7.3352783956690540155848592759652828459644819344081L), tolerance * 1000);
+
+  // Test Data for airy_ai_zero and airy_bi_zero functions.
+
+   using boost::math::airy_ai_zero; //
+
+   using boost::math::isnan;
+
+   BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(0), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // If ignore errors, return NaN.
+    BOOST_CHECK((boost::math::isnan)(airy_ai_zero<RealType>(0, ignore_all_policy())));
+    BOOST_CHECK((boost::math::isnan)(airy_ai_zero<RealType>((std::numeric_limits<unsigned>::min)() , ignore_all_policy())));
+    // Can't abuse with NaN as won't compile.
+    //BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+  else
+  { // real_concept NaN not available, so return zero.
+    BOOST_CHECK_EQUAL(airy_ai_zero<RealType>(0, ignore_all_policy()), 0);
+    // BOOST_CHECK_EQUAL(airy_ai_zero<RealType>(-1), 0); //  warning C4245: 'argument' : conversion from 'int' to 'unsigned int', signed/unsigned mismatch
+  }
+
+  BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(-1), std::domain_error);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>((std::numeric_limits<boost::int32_t>::max)()), -static_cast<RealType>(4678579.33301973093739L), tolerance);
+
+  // Can't abuse with infinity because won't compile - no conversion.
+  //if (std::numeric_limits<RealType>::has_infinity)
+  //{
+  //  BOOST_CHECK(isnan(airy_bi_zero<RealType>(-1)) );
+  //}
+
+  // WolframAlpha  Table[N[AiryAiZero[n], 51], {n, 1, 20, 1}]
+
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1), static_cast<RealType>(-2.33810741045976703848919725244673544063854014567239L), tolerance * 2 * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(2), static_cast<RealType>(-4.08794944413097061663698870145739106022476469910853L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(3), static_cast<RealType>(-5.52055982809555105912985551293129357379721428061753L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(4), static_cast<RealType>(-6.78670809007175899878024638449617696605388247739349L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(5), static_cast<RealType>(-7.94413358712085312313828055579826853214067439697221L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(6), static_cast<RealType>(-9.02265085334098038015819083988008925652467753515608L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(7), static_cast<RealType>(-10.0401743415580859305945567373625180940429025691058L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(8), static_cast<RealType>(-11.0085243037332628932354396495901510167308253815040L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(9), static_cast<RealType>(-11.9360155632362625170063649029305843155778862321198L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(10), static_cast<RealType>(-12.8287767528657572004067294072418244773864155995734L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(11), static_cast<RealType>(-13.6914890352107179282956967794669205416653698092008L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(12), static_cast<RealType>(-14.5278299517753349820739814429958933787141648698348L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(13), static_cast<RealType>(-15.3407551359779968571462085134814867051175833202480L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(14), static_cast<RealType>(-16.1326851569457714393459804472025217905182723970763L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(15), static_cast<RealType>(-16.9056339974299426270352387706114765990900510950317L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(16), static_cast<RealType>(-17.6613001056970575092536503040180559521532186681200L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(17), static_cast<RealType>(-18.4011325992071154158613979295043367545938146060201L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(18), static_cast<RealType>(-19.1263804742469521441241486897324946890754583847531L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(19), static_cast<RealType>(-19.8381298917214997009475636160114041983356824945389L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(20), static_cast<RealType>(-20.5373329076775663599826814113081017453042180147375L), tolerance);
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000, 1001, 1}]
+
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000), static_cast<RealType>(-281.031519612521552835336363963709689055717463965420L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1001), static_cast<RealType>(-281.218889579130068414512015874511112547569713693446L), tolerance);
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000000, 1000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000), static_cast<RealType>(-28107.8319793795834876064419863203282898723750036048L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000001), static_cast<RealType>(-28107.8507179357979542838020057465277368471496446555L), tolerance);
+
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000000000, 1000000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000000), static_cast<RealType>(-2.81078366593344513918947921096193426320298300481145E+6L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000001), static_cast<RealType>(-2.81078366780730091663459728526906320267920607427246E+6L), tolerance);
+
+  // Test Data for airy_bi
+  using boost::math::airy_bi_zero;
+
+  BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(0), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // return NaN.
+    BOOST_CHECK((boost::math::isnan)(airy_bi_zero<RealType>(0, ignore_all_policy())));
+    BOOST_CHECK((boost::math::isnan)(airy_bi_zero<RealType>((std::numeric_limits<unsigned>::min)() , ignore_all_policy())));
+    // Can't abuse with NaN as won't compile.
+    // BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    // cannot convert parameter 1 from 'boost::math::concepts::real_concept' to 'unsigned int'.
+  }
+  else
+  { // real_concept NaN not available, so return zero.
+    BOOST_CHECK_EQUAL(airy_bi_zero<RealType>(0, ignore_all_policy()), 0);
+    // BOOST_CHECK_EQUAL(airy_bi_zero<RealType>(-1), 0);
+    //  warning C4245: 'argument' : conversion from 'int' to 'unsigned int', signed/unsigned mismatch.
+    // If ignore the warning, interpreted as max unsigned:
+    // check airy_bi_zero<RealType>(-1) == 0 has failed [-7.42678e+006 != 0]
+  }
+
+  BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(-1), std::domain_error);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>((std::numeric_limits<boost::int32_t>::max)()), -static_cast<RealType>(4678579.33229351984573L), tolerance * 300);
+
+  // Can't abuse with infinity because won't compile - no conversion.
+  //if (std::numeric_limits<RealType>::has_infinity)
+  //{
+  //  BOOST_CHECK(isnan(airy_bi_zero<RealType>(std::numeric_limits<RealType>::infinity)) );
+  //}
+
+  // Table[N[AiryBiZero[n], 51], {n, 1, 20, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1), static_cast<RealType>(-1.17371322270912792491997996247390210454364638917570L), tolerance * 4 * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(2), static_cast<RealType>(-3.27109330283635271568022824016641380630093596910028L), tolerance * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(3), static_cast<RealType>(-4.83073784166201593266770933990517817696614261732301L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(4), static_cast<RealType>(-6.16985212831025125983336452055593667996554943427563L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(5), static_cast<RealType>(-7.37676207936776371359995933044254122209152229939710L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(6), static_cast<RealType>(-8.49194884650938801344803949280977672860508755505546L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(7), static_cast<RealType>(-9.53819437934623888663298854515601962083907207638247L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(8), static_cast<RealType>(-10.5299135067053579244005555984531479995295775946214L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(9), static_cast<RealType>(-11.4769535512787794379234649247328196719482538148877L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(10), static_cast<RealType>(-12.3864171385827387455619015028632809482597983846856L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(11), static_cast<RealType>(-13.2636395229418055541107433243954907752411519609813L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(12), static_cast<RealType>(-14.1127568090686577915873097822240184716840428285509L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(13),  static_cast<RealType>(-14.9370574121541640402032143104909046396121763517782L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(14), static_cast<RealType>(-15.7392103511904827708949784797481833807180162767841L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(15), static_cast<RealType>(-16.5214195506343790539179499652105457167110310370581L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(16), static_cast<RealType>(-17.2855316245812425329342366922535392425279753602710L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(17), static_cast<RealType>(-18.0331132872250015721711125433391920008087291416406L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(18), static_cast<RealType>(-18.7655082844800810413429789236105128440267189551421L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(19), static_cast<RealType>(-19.4838801329892340136659986592413575122062977793610L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(20), static_cast<RealType>(-20.1892447853962024202253232258275360764649783583934L), tolerance);
+
+ // Table[N[AiryBiZero[n], 51], {n, 1000, 1001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000), static_cast<RealType>(-280.937811203415240157883427412260300146245056425646L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1001), static_cast<RealType>(-281.125212400956392021977771104562061554648675044114L), tolerance);
+
+  // Table[N[AiryBiZero[n], 51], {n, 1000000, 1000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000), static_cast<RealType>(-28107.8226100991339342855024130953986989636667226163L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000001), static_cast<RealType>(-28107.8413486584714939255315213519230566014624895515L), tolerance);
+
+  //Table[N[AiryBiZero[n], 51], {n, 1000000000, 1000000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000000), static_cast<RealType>(-2.81078366499651725023268820158218492845371527054171E+6L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000001), static_cast<RealType>(-2.81078366687037302799011557215619265502627118526716E+6L), tolerance);
+
+  // Check the multi-root versions.
+  {
+    unsigned int n_roots = 1U;
+    std::vector<RealType> roots;
+    boost::math::airy_ai_zero<RealType>(2U, n_roots, std::back_inserter(roots));
+    BOOST_CHECK_CLOSE_FRACTION(roots[0], static_cast<RealType>(-4.08794944413097061663698870145739106022476469910853L), tolerance);
+  }
+  {
+    unsigned int n_roots = 1U;
+    std::vector<RealType> roots;
+    boost::math::airy_bi_zero<RealType>(2U, n_roots, std::back_inserter(roots));
+    BOOST_CHECK_CLOSE_FRACTION(roots[0], static_cast<RealType>(-3.27109330283635271568022824016641380630093596910028L), tolerance * tolerance_tgamma_extra);
+  }
+} // template <class RealType> void test_spots(RealType)
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   test_bessel_zeros(0.1F);
+   test_bessel_zeros(0.1);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_zeros(0.1L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_zeros(boost::math::concepts::real_concept(0.1));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
diff --git a/src/boost/libs/math/test/test_bessel_hooks.hpp b/src/boost/libs/math/test/test_bessel_hooks.hpp
new file mode 100644
index 00000000..c089e4ac
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_hooks.hpp
@@ -0,0 +1,97 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double jv(double, double);
+   float jvf(float, float);
+   long double jvl(long double, long double);
+   double yv(double, double);
+   float yvf(float, float);
+   long double yvl(long double, long double);
+}
+inline float cyl_bessel_j(float a, float x)
+{ return jvf(a, x); }
+inline double cyl_bessel_j(double a, double x)
+{ return jv(a, x); }
+inline long double cyl_bessel_j(long double a, long double x)
+{
+#ifdef BOOST_MSVC
+   return jv((double)a, x); 
+#else
+   return jvl(a, x); 
+#endif
+}
+inline float cyl_neumann(float a, float x)
+{ return yvf(a, x); }
+inline double cyl_neumann(double a, double x)
+{ return yv(a, x); }
+inline long double cyl_neumann(long double a, long double x)
+{
+#ifdef BOOST_MSVC
+   return yv((double)a, x); 
+#else
+   return yvl(a, x); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_bessel.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+
+namespace other{
+inline float cyl_bessel_j(float a, float x)
+{ return (float)gsl_sf_bessel_Jnu(a, x); }
+inline double cyl_bessel_j(double a, double x)
+{ return gsl_sf_bessel_Jnu(a, x); }
+inline long double cyl_bessel_j(long double a, long double x)
+{ return gsl_sf_bessel_Jnu(a, x); }
+
+inline float cyl_bessel_i(float a, float x)
+{ return (float)gsl_sf_bessel_Inu(a, x); }
+inline double cyl_bessel_i(double a, double x)
+{ return gsl_sf_bessel_Inu(a, x); }
+inline long double cyl_bessel_i(long double a, long double x)
+{ return gsl_sf_bessel_Inu(a, x); }
+
+inline float cyl_bessel_k(float a, float x)
+{ return (float)gsl_sf_bessel_Knu(a, x); }
+inline double cyl_bessel_k(double a, double x)
+{ return gsl_sf_bessel_Knu(a, x); }
+inline long double cyl_bessel_k(long double a, long double x)
+{ return gsl_sf_bessel_Knu(a, x); }
+
+inline float cyl_neumann(float a, float x)
+{ return (float)gsl_sf_bessel_Ynu(a, x); }
+inline double cyl_neumann(double a, double x)
+{ return gsl_sf_bessel_Ynu(a, x); }
+inline long double cyl_neumann(long double a, long double x)
+{ return gsl_sf_bessel_Ynu(a, x); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept cyl_bessel_j(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_bessel_i(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_bessel_k(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_neumann(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i.cpp b/src/boost/libs/math/test/test_bessel_i.cpp
new file mode 100644
index 00000000..b5a0bc52
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i.cpp
@@ -0,0 +1,154 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_bessel_i.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel I function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Mac OS has higher error rates, why?
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 400, 200);               // test function
+   //
+   // G++ on Linux, results vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results for tgamma(long double)
+   // which then impacts on the Bessel functions:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                    // test data group
+      ".*", 400, 200);               // test function
+
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 30, 10);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 20, 10);                 // test function
+   //
+   // Set error rates a little higher for real_concept - 
+   // now that we use a series approximation for small z
+   // that relies on tgamma the error rates are a little
+   // higher only when a Lanczos approximation is not available.
+   // All other types are unaffected.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 200);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i.hpp b/src/boost/libs/math/test/test_bessel_i.hpp
new file mode 100644
index 00000000..338c8b07
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i.hpp
@@ -0,0 +1,180 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_i_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_IN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_IN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_i(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_I_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_I_FUNCTION_TO_TEST
+   pg funcp = BESSEL_I_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_i<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_i;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_i_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_i_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> i0_data = {{
+        {{ SC_(0.0), SC_(0.0), SC_(1.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(2.27958530233606726743720444081153335328584110278545905407084) }},
+        {{ SC_(0.0), SC_(4.0), SC_(11.3019219521363304963562701832171024974126165944353377060065) }},
+        {{ SC_(0.0), SC_(-7.0), SC_(168.593908510289698857326627187500840376522679234531714193194) }},
+        {{ SC_(0.0), SC_(0.0009765625), SC_(1.00000023841859331241759166109699567801556273303717896447683) }},
+        {{ SC_(0.0), SC_(9.5367431640625e-7), SC_(1.00000000000022737367544324498417583090700894607432256476338) }},
+        {{ SC_(0.0), SC_(-1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) }},
+        {{ SC_(0.0), SC_(100.0), SC_(1.07375170713107382351972085760349466128840319332527279540154e42) }},
+        {{ SC_(0.0), SC_(200.0), SC_(2.03968717340972461954167312677945962233267573614834337894328e85) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> i1_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.565159103992485027207696027609863307328899621621092009480294) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(-1.59063685463732906338225442499966624795447815949553664713229) }},
+        {{ SC_(1.0), SC_(4.0), SC_(9.75946515370444990947519256731268090005597033325296730692753) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(-399.873136782560098219083086145822754889628443904067647306574) }},
+        {{ SC_(1.0), SC_(0.0009765625), SC_(0.000488281308207663226432087816784315537514225208473395063575150) }},
+        {{ SC_(1.0), SC_(9.5367431640625e-7), SC_(4.76837158203179210108624277276025646653133998635956784292029E-7) }},
+        {{ SC_(1.0), SC_(-10.0), SC_(-2670.98830370125465434103196677215254914574515378753771310849) }},
+        {{ SC_(1.0), SC_(100.0), SC_(1.06836939033816248120614576322429526544612284405623226965918e42) }},
+        {{ SC_(1.0), SC_(200.0), SC_(2.03458154933206270342742797713906950389661161681122964159220e85) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> in_data = {{
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), SC_(9.5367431640625e-7), SC_(1.13686837721624646204093977095674566928522671779753217215467e-13) }},
+        {{ SC_(5.0), SC_(10.0), SC_(777.188286403259959907293484802339632852674154572666041953297) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(9.47009387303558124618275555002161742321578485033007130107740e41) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(-0.000271463155956971875181073905153777342383564426758143634974124) }},
+        {{ SC_(10.0), SC_(20.0), SC_(3.54020020901952109905289138244985607057267103782948493874391e6) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(0.00458004441917605126118647027872016953192323139337073320016447) }},
+        {{ SC_(1e+02), SC_(9.0), SC_(2.74306601746058997093587654668959071522869282506446891736820e-93) }},
+        {{ SC_(1e+02), SC_(80.0), SC_(4.65194832850610205318128191404145885093970505338730540776711e8) }},
+        {{ SC_(-100.0), SC_(-200.0), SC_(4.35275044972702191438729017441198257508190719030765213981307e74) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> iv_data = {{
+        {{ SC_(2.25), SC_(9.5367431640625e-7), SC_(2.34379212133481347189068464680335815256364262507955635911656e-15) }},
+        {{ SC_(5.5), SC_(3.125), SC_(0.0583514045989371500460946536220735787163510569634133670181210) }},
+        {{ SC_(-4.9990234375), SC_(2.125), SC_(0.0267920938009571023702933210070984416052633027166975342895062) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(597.577606961369169607937419869926705730305175364662688426534) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(9.22362906144706871737354069133813819358704200689067071415379e41) }},
+        {{ SC_(-10.0002994537353515625), SC_(0.0009765625), SC_(1.41474005665181350367684623930576333542989766867888186478185e35) }},
+        {{ SC_(-10.0002994537353515625), SC_(50.0), SC_(1.07153277202900671531087024688681954238311679648319534644743e20) }},
+        {{ SC_(141.400390625), SC_(100.0), SC_(2066.27694757392660413922181531984160871678224178890247540320) }},
+        {{ SC_(141.400390625), SC_(200.0), SC_(2.23699739472246928794922868978337381373643889659337595319774e64) }},
+        {{ SC_(-141.400390625), SC_(100.0), SC_(2066.27694672763190927440969155740243346136463461655104698748) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> iv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-1.0), SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) }},
+        {{ SC_(1.0),  SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) }},
+        {{ SC_(-1.125), SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(-1.34963720853101363690381585556234820027343435206156667634081e173) }},
+        {{ SC_(1.125),  SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(8.02269390325932403421158766283366891170783955777638875887348e-175) }},
+        {{ SC_(0.5), SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206), SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) }},
+    }};
+
+    do_test_cyl_bessel_i<T>(i0_data, name, "Bessel I0: Mathworld Data");
+    do_test_cyl_bessel_i<T>(i1_data, name, "Bessel I1: Mathworld Data");
+    do_test_cyl_bessel_i<T>(in_data, name, "Bessel In: Mathworld Data");
+
+    do_test_cyl_bessel_i_int<T>(i0_data, name, "Bessel I0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_int<T>(i1_data, name, "Bessel I1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_int<T>(in_data, name, "Bessel In: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_i<T>(iv_data, name, "Bessel Iv: Mathworld Data");
+
+#include "bessel_i_int_data.ipp"
+    do_test_cyl_bessel_i<T>(bessel_i_int_data, name, "Bessel In: Random Data");
+#include "bessel_i_data.ipp"
+    do_test_cyl_bessel_i<T>(bessel_i_data, name, "Bessel Iv: Random Data");
+
+    if(0 != static_cast<T>(ldexp(0.5, -700)))
+      do_test_cyl_bessel_i<T>(iv_large_data, name, "Bessel Iv: Mathworld Data (large values)");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_i_prime.cpp b/src/boost/libs/math/test/test_bessel_i_prime.cpp
new file mode 100644
index 00000000..3a287737
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i_prime.cpp
@@ -0,0 +1,182 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+#include "test_bessel_i_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel I functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Mac OS has higher error rates, why?
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3500, 1500);               // test function
+   //
+   // G++ on Linux, results vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results for tgamma(long double)
+   // which then impacts on the Bessel functions:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 600, 200);               // test function
+
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 500, 200);               // test function
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3500, 1000);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*I'v.*Mathworld.*",          // test data group
+      ".*", 4000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 900, 300);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 25);                 // test function
+   //
+   // Set error rates a little higher for real_concept - 
+   // now that we use a series approximation for small z
+   // that relies on tgamma the error rates are a little
+   // higher only when a Lanczos approximation is not available.
+   // All other types are unaffected.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*I'v.*Mathworld.*",          // test data group
+      ".*", 4000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 800, 400);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 600, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i_prime.hpp b/src/boost/libs/math/test/test_bessel_i_prime.hpp
new file mode 100644
index 00000000..91d93128
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i_prime.hpp
@@ -0,0 +1,183 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_i_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_IPN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_IPN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_i_prime(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_IP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_IP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_i_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_i_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_i_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_i_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    BOOST_MATH_STD_USING
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<T, 3>, 10> i0_prime_data = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(0.565159103992485027207696027609863307328899621621) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(-1.590636854637329063382254424999666247954478159496) }},
+        {{ SC_(0.0), SC_(4.0), SC_(9.75946515370444990947519256731268090005597033325) }},
+        {{ SC_(0.0), SC_(-7.0), SC_(-156.039092869955453462390580660711155630031052042) }},
+        {{ SC_(0.0), T(1) / 1024, SC_(0.000488281308207663226432087816784315537514225208473395) }},
+        {{ SC_(0.0), T(SC_(1.0)) / (1024*1024), SC_(4.76837158203179210108624277276025646653133998635957e-7) }},
+        {{ SC_(0.0), SC_(-1.0), SC_(-0.565159103992485027207696027609863307328899621621) }},
+        {{ SC_(0.0), SC_(100.0), SC_(1.068369390338162481206145763224295265446122844056e42) }},
+        {{ SC_(0.0), SC_(200.0), SC_(2.034581549332062703427427977139069503896611616811e85) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 10> i1_prime_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.5) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.700906773759523308390548597604854230278770689734) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(1.484266875017402735746077228311700229308602023038) }},
+        {{ SC_(1.0), SC_(4.0), SC_(8.86205566371021801898747204138893227239862401112) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(377.579973623984772900011405549855040764360549303) }},
+        {{ SC_(1.0), T(SC_(1.0))/1024, SC_(0.500000178813946168551133736709856567600996119560422) }},
+        {{ SC_(1.0), T(SC_(1.0))/(1024*1024), SC_(0.500000000000170530256582434815189962442052310320626) }},
+        {{ SC_(1.0), SC_(-10.0), SC_(2548.6177980961290060357079567493748381638767230173) }},
+        {{ SC_(1.0), SC_(100.0), SC_(1.063068013227692198707659399971251708633941964885e42) }},
+        {{ SC_(1.0), SC_(200.0), SC_(2.029514265663064306024535986893764274813192678064e85) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 11> in_prime_data = {{
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), T(SC_(1.0))/(1024*1024), SC_(2.38418579101598640072416185021877537269848820467704e-7) }},
+        {{ SC_(5.0), SC_(10.0), SC_(837.8963945578616177877239800250165373153505679130) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(9.434574089052212641696648538570565739509851953166e41) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(0.001379804441262006949232714689824343061461150959112) }},
+        {{ SC_(10.0), SC_(20.0), SC_(3.887291476282816593964936516887942731146400030466e6) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(-0.0101556299784624552653083645193223022003797137770) }},
+        {{ SC_(1e+02), SC_(9.0), SC_(3.0600487816519872979909028718737622834061708443e-92) }},
+        {{ SC_(1e+02), SC_(80.0), SC_(7.43545006374466980237328068214707549314834217923e8) }},
+        {{ SC_(-100.0), SC_(-200.0), SC_(-4.8578174816088978115191937982677942557681326349558e74) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.6911444554673721340388007054673721340e-909) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 10> iv_prime_data = {{
+        {{ SC_(2.25), T(1)/(1024*1024), SC_(5.5296993766970839641084373853875345330202883e-9) }},
+        {{ SC_(5.5), SC_(3.125), SC_(0.11607917746126037030394881599790144677553715606) }},
+        {{ T(-5) + T(1)/1024, SC_(2.125), SC_(0.0001131925559871199041270456478317398625046249903864372470342210384462922281) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(659.1902595786901927596924259811320437384361101) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(9.191476042191556775282339209385028823905941708e41) }},
+        {{ T(-10486074)/(1024*1024), T(1)/1024, SC_(-1.44873720736417608945635957884937466861026978539e39) }},
+        {{ T(-10486074)/(1024*1024), SC_(50.0), SC_(1.082410021443599516897183930739816215073642812109e20) }},
+        {{ T(144794)/1024, SC_(100.0), SC_(3575.11008553328328036816705258135747714241715202) }},
+        {{ T(144794)/1024, SC_(200.0), SC_(2.7358895637426974377937620224627094172800852276956e64) }},
+        {{ T(-144794)/1024, SC_(100.0), SC_(3575.11008700037933897402396449269857968451879323) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> iv_prime_large_data = {{
+        {{ SC_(-1.0), static_cast<T>(ldexp(0.5, -512)), SC_(0.5) }},
+        {{ SC_(1.0),  static_cast<T>(ldexp(0.5, -512)), SC_(0.5) }},
+        {{ SC_(1.125),  static_cast<T>(ldexp(0.5, -512)), SC_(2.42025162605150606399395900489934587657244145536315936432966315563638e-20) }},
+        {{ SC_(0.5), static_cast<T>(ldexp(0.5, -683)), SC_(3.5741154998461284276309443770923823816821202344841143399486401387635e102) }},
+#if LDBL_MAX_10_EXP > 326
+        {{ SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(4.0715272050947359203430409041001937149343363573066460226173390878707e327) }},
+#else
+        { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>() } },
+#endif
+    }};
+
+    do_test_cyl_bessel_i_prime<T>(i0_prime_data, name, "Bessel I'0: Mathworld Data");
+    do_test_cyl_bessel_i_prime<T>(i1_prime_data, name, "Bessel I'1: Mathworld Data");
+    do_test_cyl_bessel_i_prime<T>(in_prime_data, name, "Bessel I'n: Mathworld Data");
+
+    do_test_cyl_bessel_i_prime_int<T>(i0_prime_data, name, "Bessel I'0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_prime_int<T>(i1_prime_data, name, "Bessel I'1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_prime_int<T>(in_prime_data, name, "Bessel I'n: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_i_prime<T>(iv_prime_data, name, "Bessel I'v: Mathworld Data");
+
+#include "bessel_i_prime_int_data.ipp"
+    do_test_cyl_bessel_i_prime<T>(bessel_i_prime_int_data, name, "Bessel I'n: Random Data");
+#include "bessel_i_prime_data.ipp"
+    do_test_cyl_bessel_i_prime<T>(bessel_i_prime_data, name, "Bessel I'v: Random Data");
+
+    if(0 != static_cast<T>(ldexp(static_cast<T>(0.5), -700)))
+      do_test_cyl_bessel_i_prime<T>(iv_prime_large_data, name, "Bessel I'v: Mathworld Data (large values)");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_j.cpp b/src/boost/libs/math/test/test_bessel_j.cpp
new file mode 100644
index 00000000..8e9f9f01
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j.cpp
@@ -0,0 +1,309 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include "test_bessel_j.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel functions.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 80000000000LL, 80000000000LL);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J.*Tricky.*",              // test data group
+      ".*", 3000, 500);         // test function
+   //
+   // HP Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Tricky large.*",              // test data group
+      ".*", 3000, 1000);         // test function
+   //
+   // Solaris specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                              // compiler
+      ".*",                              // stdlib
+      "Sun Solaris",                     // platform
+      largest_type,                      // test type(s)
+      "Bessel J: Random Data.*Tricky.*", // test data group
+      ".*", 3000, 500);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",                  // test data group
+      ".*", 200000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      largest_type,                  // test type(s)
+      ".*J.*tricky.*",               // test data group
+      ".*", 400000000, 200000000);    // test function
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel JN.*",              // test data group
+      ".*", 40000, 20000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel J:.*",              // test data group
+      ".*", 50000, 20000);         // test function
+
+
+
+   //
+   // Linux specific results:
+   //
+   // sin and cos appear to have only double precision for large
+   // arguments on some linux distros:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                      // test type(s)
+      ".*J:.*",              // test data group
+      ".*", 40000, 30000);         // test function
+
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J0.*Tricky.*",              // test data group
+         ".*", 400000, 400000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J1.*Tricky.*",              // test data group
+         ".*", 5000, 5000);             // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*(JN|j).*|.*Tricky.*",       // test data group
+         ".*", 50, 50);                 // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 30, 30);                 // test function
+      //
+      // and we have a few cases with higher limits as well:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J0.*Tricky.*",              // test data group
+         ".*", 400000000, 400000000);   // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J1.*Tricky.*",              // test data group
+         ".*", 5000000, 5000000);       // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*(JN|j).*|.*Tricky.*",       // test data group
+         ".*", 33000, 20000);               // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 5000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bessel j:.*|Bessel JN: Mathworld.*|.*Tricky.*",       // test data group
+      ".*", 1500, 700);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Bessel J: Mathworld Data",    // test data group
+      ".*", 20, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_bessel(0.1F, "float");
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_j.hpp b/src/boost/libs/math/test/test_bessel_j.hpp
new file mode 100644
index 00000000..5884ac9f
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j.hpp
@@ -0,0 +1,274 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_bessel_j(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_J_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_J_FUNCTION_TO_TEST
+   pg funcp = BESSEL_J_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_j<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_j;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class T>
+T cyl_bessel_j_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_JN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_JN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_bessel_j(boost::math::itrunc(v), x));
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_j_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_j_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_bessel_j(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_JS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_bessel<value_type>;
+#else
+   pg funcp = boost::math::sph_bessel;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_bessel against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_bessel", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j0_data = {{
+       { { SC_(0.0), SC_(0.0), SC_(1.0) } },
+       { { SC_(0.0), SC_(1.0), SC_(0.7651976865579665514497175261026632209093) } },
+       { { SC_(0.0), SC_(-2.0), SC_(0.2238907791412356680518274546499486258252) } },
+       { { SC_(0.0), SC_(4.0), SC_(-0.3971498098638473722865907684516980419756) } },
+       { { SC_(0.0), SC_(-8.0), SC_(0.1716508071375539060908694078519720010684) } },
+        {{ SC_(0.0), SC_(1e-05), SC_(0.999999999975000000000156249999999565972) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(0.999999999999999999997500000000000000000) }},
+        {{ SC_(0.0), SC_(-1e+01), SC_(-0.2459357644513483351977608624853287538296) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 6> j0_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       { { SC_(0.0), SC_(1e+03), SC_(0.02478668615242017456133073111569370878617) } },
+       { { SC_(0.0), SC_(1e+05), SC_(-0.001719201116235972192570601477073201747532) } },
+        // test at the roots:
+       { { SC_(0.0), SC_(2.4048252105712890625) /*T(2521642.0) / (1024 * 1024)*/, SC_(1.80208819970046790002973759410972422387259992955354630042138e-7) } },
+       { { SC_(0.0), SC_(5.52007770538330078125) /*T(5788221.0) / (1024 * 1024)*/, SC_(-1.37774249380686777043369399806210229535671843632174587432454e-7) } },
+       { { SC_(0.0), SC_(8.65372753143310546875) /*T(9074091.0) / (1024 * 1024)*/, SC_(1.03553057441100845081018471279571355857520645127532785991335e-7) } },
+       { { SC_(0.0), SC_(11.791534423828125) /*T(12364320.0) / (1024 * 1024)*/, SC_(-3.53017140778223781420794006033810387155048392363051866610931e-9) } }
+    }};    
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j1_data = {{
+       { { SC_(1.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(1.0), SC_(1.0), SC_(0.4400505857449335159596822037189149131274) } },
+       { { SC_(1.0), SC_(-2.0), SC_(-0.5767248077568733872024482422691370869203) } },
+       { { SC_(1.0), SC_(4.0), SC_(-6.604332802354913614318542080327502872742e-02) } },
+       { { SC_(1.0), SC_(-8.0), SC_(-0.2346363468539146243812766515904546115488) } },
+       { { SC_(1.0), SC_(1e-05), SC_(4.999999999937500000000260416666666124132e-06) } },
+       { { SC_(1.0), SC_(1e-10), SC_(4.999999999999999999993750000000000000000e-11) } },
+       { { SC_(1.0), SC_(-1e+01), SC_(-4.347274616886143666974876802585928830627e-02) } },
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> j1_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       { { SC_(1.0), SC_(1e+03), SC_(4.728311907089523917576071901216916285418e-03) } },
+       { { SC_(1.0), SC_(1e+05), SC_(1.846757562882567716362123967114215743694e-03) } },
+        // test zeros:
+       { { SC_(1.0), SC_(3.8317050933837890625) /*T(4017834) / (1024 * 1024)*/, SC_(3.53149033321258645807835062770856949751958513973522222203044e-7) } },
+       { { SC_(1.0), SC_(7.01558589935302734375) /*T(7356375) / (1024 * 1024)*/, SC_(-2.31227973111067286051984021150135526024117175836722748404342e-7) } },
+       { { SC_(1.0), SC_(10.1734676361083984375) /*T(10667654) / (1024 * 1024)*/, SC_(1.24591331097191900488116495350277530373473085499043086981229e-7) } },
+    }};
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> jn_data = {{
+        // This first one is a modified test case from https://svn.boost.org/trac/boost/ticket/2733
+       { { SC_(-1.0), SC_(1.25), SC_(-0.510623260319880467069474837274910375352924050139633057168856) } },
+       { { SC_(2.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(-2.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(2.0), SC_(1e-02), SC_(1.249989583365885362413250958437642113452e-05) } },
+       { { SC_(5.0), SC_(10.0), SC_(-0.2340615281867936404436949416457777864635) } },
+       { { SC_(5.0), SC_(-10.0), SC_(0.2340615281867936404436949416457777864635) } },
+       { { SC_(-5.0), SC_(1e+06), SC_(7.259643842453285052375779970433848914846e-04) } },
+       { { SC_(5.0), SC_(1e+06), SC_(-0.000725964384245328505237577997043384891484649290328285235308619) } },
+       { { SC_(-5.0), SC_(-1.0), SC_(2.497577302112344313750655409880451981584e-04) } },
+       { { SC_(10.0), SC_(10.0), SC_(0.2074861066333588576972787235187534280327) } },
+       { { SC_(10.0), SC_(-10.0), SC_(0.2074861066333588576972787235187534280327) } },
+       { { SC_(10.0), SC_(-5.0), SC_(1.467802647310474131107532232606627020895e-03) } },
+       { { SC_(-10.0), SC_(1e+06), SC_(-3.310793117604488741264958559035744460210e-04) } },
+       { { SC_(10.0), SC_(1e+06), SC_(-0.000331079311760448874126495855903574446020957243277028930713243) } },
+        {{ SC_(1e+02), SC_(8e+01), SC_(4.606553064823477354141298259169874909670e-06) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(1.283178112502480365195139312635384057363e-03) }},
+        { { SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) } },
+    }};
+    do_test_cyl_bessel_j<T>(j0_data, name, "Bessel J0: Mathworld Data");
+    do_test_cyl_bessel_j<T>(j0_tricky, name, "Bessel J0: Mathworld Data (Tricky cases)");
+    do_test_cyl_bessel_j<T>(j1_data, name, "Bessel J1: Mathworld Data");
+    do_test_cyl_bessel_j<T>(j1_tricky, name, "Bessel J1: Mathworld Data (tricky cases)");
+    do_test_cyl_bessel_j<T>(jn_data, name, "Bessel JN: Mathworld Data");
+
+    do_test_cyl_bessel_j_int<T>(j0_data, name, "Bessel J0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j0_tricky, name, "Bessel J0: Mathworld Data (Tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j1_data, name, "Bessel J1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j1_tricky, name, "Bessel J1: Mathworld Data (tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(jn_data, name, "Bessel JN: Mathworld Data (Integer Version)");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 20> jv_data = {{
+        //SC_(-2.4), {{ SC_(0.0), std::numeric_limits<T>::infinity() }},
+       { { SC_(22.5), SC_(0.0), SC_(0.0) } },
+       { { SC_(2.3994140625) /*2457.0 / 1024*/, SC_(0.0009765625) /* 1 / 1024*/, SC_(3.80739920118603335646474073457326714709615200130620574875292e-9) } },
+        {{ SC_(5.5), SC_(3.1416015625) /* 3217/1024*/, SC_(0.0281933076257506091621579544064767140470089107926550720453038) }},
+        {{ SC_(-5.5), SC_(3.1416015625) /* 3217/1024*/, SC_(-2.55820064470647911823175836997490971806135336759164272675969) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(2.449843111985605522111159013846599118397e-03) }},
+        {{ SC_(5.5), SC_(1e+04), SC_(0.00759343502722670361395585198154817047185480147294665270646578) }},
+        {{ SC_(5.5), SC_(1e+06), SC_(-0.000747424248595630177396350688505919533097973148718960064663632) }},
+        {{ SC_(5.125), SC_(1e+06), SC_(-0.000776600124835704280633640911329691642748783663198207360238214) }},
+        {{ SC_(5.875), SC_(1e+06), SC_(-0.000466322721115193071631008581529503095819705088484386434589780) }},
+        { { SC_(0.5), SC_(101.0), SC_(0.0358874487875643822020496677692429287863419555699447066226409) } },
+        {{ SC_(-5.5), SC_(1e+04), SC_(0.00244984311198560552211115901384659911839737686676766460822577) }},
+        {{ SC_(-5.5), SC_(1e+06), SC_(0.000279243200433579511095229508894156656558211060453622750659554) }},
+        { { SC_(-0.5), SC_(101.0), SC_(0.0708184798097594268482290389188138201440114881159344944791454) } },
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(0.0009765625) /* 1/1024*/, SC_(1.41474013160494695750009004222225969090304185981836460288562e35) }},
+        { { SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(15.0), SC_(-0.0902239288885423309568944543848111461724911781719692852541489) } },
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(100.0), SC_(-0.05476136603168065513386371539426045507795139476742228638) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(20000.0), SC_(-0.00556869085445857782456414284057389040183758546505700058) }},
+        // Bug report https://svn.boost.org/trac/boost/ticket/4812:
+        {{ SC_(1.5), SC_(7.845703125) /* 8034/1024*/, SC_(0.0339477646369710610146236955872928005087352629422508823945264) }},
+        {{ SC_(8.5), SC_(12.566370614359172953850573533118011536788677597500423283899778369231265625144835994512139301368468271928592346053) /*Pi * 4*/, SC_(0.0436807946352780974532519564114026730332781693877984686758680) }},
+        {{ SC_(-8.5), SC_(12.566370614359172953850573533118011536788677597500423283899778369231265625144835994512139301368468271928592346053) /*Pi * 4*/, SC_(-0.257086543428224355151772807588810984369026142375675714560864) }},
+    }};
+    do_test_cyl_bessel_j<T>(jv_data, name, "Bessel J: Mathworld Data");
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 4> jv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-0.5), SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(7.14823099969225685526188875418476476336424046896822867989728e102) }},
+        { { SC_(256.0), SC_(512.0), SC_(0.00671672065717513246956991122723250578101154313313749938944675) } },
+        { { SC_(-256.0), SC_(8.0), SC_(1.46866142030022704638298523775638527553596432641223316232692e-353) } },
+        { { SC_(-2.5), SC_(4.0), SC_(-0.0145679476685218007666785535204236327832335803441449596297004) } },
+    }};
+    if(static_cast<T>(jv_large_data[0][1]) != 0)
+      do_test_cyl_bessel_j<T>(jv_large_data, name, "Bessel J: Mathworld Data (large values)");
+
+#include "bessel_j_int_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_int_data, name, "Bessel JN: Random Data");
+
+#include "bessel_j_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_data, name, "Bessel J: Random Data");
+
+#include "bessel_j_large_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_large_data, name, "Bessel J: Random Data (Tricky large values)");
+
+#include "sph_bessel_data.ipp"
+    do_test_sph_bessel_j<T>(sph_bessel_data, name, "Bessel j: Random Data");
+
+    //
+    // Some special cases:
+    //
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(0, T(0)), T(1));
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(1, T(0)), T(0));
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(100000, T(0)), T(0));
+
+    //
+    // Special cases that are errors:
+    //
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(-2.5), T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(-2.5), T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(2.5), T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_j_prime.cpp b/src/boost/libs/math/test/test_bessel_j_prime.cpp
new file mode 100644
index 00000000..1fb69c81
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j_prime.cpp
@@ -0,0 +1,309 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_bessel_j_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel functions derivatives. There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 80000000000LL, 80000000000LL);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J'.*Tricky.*",              // test data group
+      ".*", 3000, 500);         // test function
+   //
+   // HP Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Tricky large.*",              // test data group
+      ".*", 3000, 1000);         // test function
+   //
+   // Solaris specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                              // compiler
+      ".*",                              // stdlib
+      "Sun Solaris",                     // platform
+      largest_type,                      // test type(s)
+      "Bessel J': Random Data.*Tricky.*", // test data group
+      ".*", 3000, 500);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",                  // test data group
+      ".*", 200000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      largest_type,                  // test type(s)
+      ".*J'.*tricky.*",               // test data group
+      ".*", 400000000, 200000000);    // test function
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel JN'.*",              // test data group
+      ".*", 60000, 20000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel J':.*",              // test data group
+      ".*", 60000, 20000);         // test function
+
+
+
+   //
+   // Linux specific results:
+   //
+   // sin and cos appear to have only double precision for large
+   // arguments on some linux distros:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                      // test type(s)
+      ".*J':.*",              // test data group
+      ".*", 60000, 30000);         // test function
+
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J0'.*Tricky.*",              // test data group
+         ".*", 400000, 400000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J1'.*Tricky.*",              // test data group
+         ".*", 5000, 5000);             // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*(JN'|j').*|.*Tricky.*",       // test data group
+         ".*", 50, 50);                 // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 30, 30);                 // test function
+      //
+      // and we have a few cases with higher limits as well:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J0'.*Tricky.*",              // test data group
+         ".*", 400000000, 400000000);   // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J1'.*Tricky.*",              // test data group
+         ".*", 5000000, 5000000);       // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*(JN'|j').*|.*Tricky.*",       // test data group
+         ".*", 60000, 40000);               // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 5000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bessel j':.*|Bessel JN': Mathworld.*|.*Tricky.*",       // test data group
+      ".*", 1500, 700);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Bessel J': Mathworld Data",    // test data group
+      ".*", 30, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_bessel_prime(0.1F, "float");
+   test_bessel_prime(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_prime(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_j_prime.hpp b/src/boost/libs/math/test/test_bessel_j_prime.hpp
new file mode 100644
index 00000000..e9510c61
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j_prime.hpp
@@ -0,0 +1,276 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_JP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_j_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_j_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+T cyl_bessel_j_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_JPN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_JPN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_bessel_j_prime(boost::math::itrunc(v), x));
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_j_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_j_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_bessel_j_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JPS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_JPS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JPS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_bessel_prime<value_type>;
+#else
+   pg funcp = boost::math::sph_bessel_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_bessel against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_bessel_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel_prime(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and J'(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j0_data = {{
+       {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(-0.440050585744933515959682203718914913127) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(0.576724807756873387202448242269137086920) }},
+        {{ SC_(0.0), SC_(4.0), SC_(0.06604332802354913614318542080327502873) }},
+        {{ SC_(0.0), SC_(-8.0), SC_(0.2346363468539146243812766515904546115488) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(-0.499999999993750000000026041666666612413194e-5) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(-0.499999999999999999999375000000000000000000e-10) }},
+        {{ SC_(0.0), SC_(-1e+01), SC_(0.0434727461688614366697487680258592883062724) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 6> j0_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       {{ SC_(0.0), SC_(1e+03), SC_(-0.00472831190708952391757607190121691628542) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(-0.0018467575628825677163621239671142157437) }},
+        // test at the regular Bessel roots:
+        {{ SC_(0.0), T(2521642)/(1024 * 1024), SC_(-0.519147572225778564548541576612898453392794) }},
+        {{ SC_(0.0), T(5788221)/(1024 * 1024), SC_(0.34026483151709114336072749629487476476084) }},
+        {{ SC_(0.0), T(9074091)/(1024 * 1024), SC_(-0.271452311894657014854145327490965399410) }},
+        {{ SC_(0.0), T(12364320)/(1024 * 1024), SC_(0.2324598316641066033541448467171088144257742) }}
+    }};    
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j1_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.5) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.325147100813033035490035322383748307781902) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(-0.064471624737201025549396666484619917634997) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.38063897785796008825079441325087928479376) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(0.1423212637808145780432098264031651746248) }},
+        {{ SC_(1.0), SC_(1e-05), SC_(0.499999999981250000000130208333332953559028) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(0.499999999999999999998125000000000000000001) }},
+        {{ SC_(1.0), SC_(-1e+01), SC_(-0.250283039068234478864735739287914682660226) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> j1_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+        {{ SC_(1.0), SC_(1e+03), SC_(0.024781957840513085037413155043792491869881) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(-0.0017192195838116010182477650983128728897) }},
+        // test at the regular Bessel roots:
+        {{ SC_(1.0), T(4017834)/(1024*1024), SC_(-0.4027594878673806944036073218740057200193405151367) }},
+        {{ SC_(1.0), T(7356375)/(1024*1024), SC_(0.3001157854852247730548242543591186404228210449219) }},
+        {{ SC_(1.0), T(10667654)/(1024*1024), SC_(-0.2497048893045206718888096020236844196915626525879) }},
+    }};
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> jn_data = {{
+        {{ SC_(-1.0), SC_(1.25), SC_(-0.2374074770153809244011000600949046202003956) }},
+        {{ SC_(2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), SC_(1e-02), SC_(0.00249995833352864539930612069540679799606337) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.102571922008611714904101858221407144485) }},
+        {{ SC_(5.0), SC_(-10.0), SC_(-0.102571922008611714904101858221407144485) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(-0.0003310524513007044105585859534523271988) }},
+        {{ SC_(5.0), SC_(1e+06), SC_(0.0003310524513007044105585859534523271988) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(-0.001227850313053782886909720690402218190791576) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.08436957863176118824849051273337698304165) }},
+        {{ SC_(10.0), SC_(-10.0), SC_(-0.08436957863176118824849051273337698304165) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(-0.00258467784485473925206548854676116157568106) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(-0.0007259518037193243350387875733893635962) }},
+        {{ SC_(10.0), SC_(1e+06), SC_(-0.0007259518037193243350387875733893635962) }},
+        {{ SC_(1e+02), SC_(8e+01), SC_(3.5036060582489177538508950593467499997755e-06) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(-0.0021724469777608393409850758227465776486) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070547e-909) }},
+    }};
+    do_test_cyl_bessel_j_prime<T>(j0_data, name, "Bessel J0': Mathworld Data");
+    do_test_cyl_bessel_j_prime<T>(j0_tricky, name, "Bessel J0': Mathworld Data (Tricky cases)");
+    do_test_cyl_bessel_j_prime<T>(j1_data, name, "Bessel J1': Mathworld Data");
+    do_test_cyl_bessel_j_prime<T>(j1_tricky, name, "Bessel J1': Mathworld Data (tricky cases)");
+    do_test_cyl_bessel_j_prime<T>(jn_data, name, "Bessel JN': Mathworld Data");
+
+    do_test_cyl_bessel_j_prime_int<T>(j0_data, name, "Bessel J0': Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j0_tricky, name, "Bessel J0': Mathworld Data (Tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j1_data, name, "Bessel J1': Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j1_tricky, name, "Bessel J1': Mathworld Data (tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(jn_data, name, "Bessel JN': Mathworld Data (Integer Version)");
+
+    static const boost::array<boost::array<T, 3>, 21> jv_data = {{
+         {{ T(22.5), T(0), SC_(0.0) }},
+         {{ T(2457)/1024, T(1)/1024, SC_(9.35477929043111040277363766198320562099360690e-6) }},
+         {{ SC_(5.5), T(3217)/1024, SC_(0.042165579369684463582791278988393873) }},
+         {{ SC_(-5.5), T(3217)/1024, SC_(3.361570113176257957139775812778503494) }},
+         {{ SC_(-5.5), SC_(1e+04), SC_(0.007593311396019034252155600098309836289) }},
+         {{ SC_(5.5), SC_(1e+04), SC_(-0.00245022241637437956702428797044365092) }},
+         {{ SC_(5.5), SC_(1e+06), SC_(-0.000279242826717266554062248256927185394) }},
+         {{ SC_(5.125), SC_(1e+06), SC_(0.0001830632695189459708211614700642271) }},
+         {{ SC_(5.875), SC_(1e+06), SC_(-0.0006474276718101871487286860109203539) }},
+         {{ SC_(0.5), SC_(101.0), SC_(0.070640819172197226936337703929857171981702865) }},
+         {{ SC_(-5.5), SC_(1e+04), SC_(0.007593311396019034252155600098309836289) }},
+         {{ SC_(-5.5), SC_(1e+06), SC_(-0.0007474243882060190346457525218941411076) }},
+         {{ SC_(-0.5), SC_(101.0), SC_(-0.036238035321276062532981494694583591262302408) }},
+         {{ T(-10486074) / (1024*1024), T(1)/512, SC_(-7.0724447469115535625316241941528969321944e35) }},
+         {{ T(-10486074) / (1024*1024), SC_(15.0), SC_(-0.15994088796049823354364759206656917967697690) }},
+         {{ T(10486074) / (1024*1024), SC_(1e+02), SC_(-0.05778764167290516644655950658602424434253) }},
+         {{ T(10486074) / (1024*1024), SC_(2e+04), SC_(-0.00091101010794789360775314125410690740803) }},
+         {{ T(-10486074) / (1024*1024), SC_(1e+02), SC_(-0.057736130385111563671838499496767877709471701) }},
+         {{ SC_(1.5), T(8034)/1024, SC_(0.2783550354042687982259490073096357) }},
+         {{ SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(-0.194590144622675911618596506265006877277074) }},
+         {{ SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.014516314554743677558496402742690038592728) }},
+    }};
+    do_test_cyl_bessel_j_prime<T>(jv_data, name, "Bessel J': Mathworld Data");
+    static const boost::array<boost::array<T, 3>, 4> jv_large_data = {{
+#if LDBL_MAX_10_EXP > 308
+      {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(-2.8687031947358902542073388638943588627056993e308) }},
+#else
+      {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -450)), SC_(-1.7688953183288445554095310240218576026580197125814e203) }},
+#endif
+      {{ SC_(256.0), SC_(512.0), SC_(0.032286467266411904239327492993951594201583145) }},
+      {{ SC_(-256.0), SC_(8.0), SC_(4.6974301387555891979202431551474684165419e-352) }},
+      {{ SC_(-2.5), SC_(4.0), SC_(-0.3580070651681080294136741901878543615958139) }},
+    }};
+    if(jv_large_data[0][1] != 0)
+      do_test_cyl_bessel_j_prime<T>(jv_large_data, name, "Bessel J': Mathworld Data (large values)");
+
+#include "bessel_j_prime_int_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_int_data, name, "Bessel JN': Random Data");
+
+#include "bessel_j_prime_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_data, name, "Bessel J': Random Data");
+
+#include "bessel_j_prime_large_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_large_data, name, "Bessel J': Random Data (Tricky large values)");
+
+#include "sph_bessel_prime_data.ipp"
+    do_test_sph_bessel_j_prime<T>(sph_bessel_prime_data, name, "Bessel j': Random Data");
+
+    //
+    // Some special cases:
+    //
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(1), T(0)), T(0.5));
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(-1), T(0)), T(-0.5));
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(2), T(0)), T(0));
+
+    //
+    // Special cases that are errors:
+    //
+    BOOST_MATH_CHECK_THROW(boost::math::sph_bessel_prime(1, T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::sph_bessel_prime(100000, T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(-2.5), T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(-2.5), T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(2.5), T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_k.cpp b/src/boost/libs/math/test/test_bessel_k.cpp
new file mode 100644
index 00000000..f0975b46
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k.cpp
@@ -0,0 +1,138 @@
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include "test_bessel_k.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel K function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   //
+   // On MacOS X cyl_bessel_k has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a continued fraction evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4000, 1300);             // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 50);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 90, 50);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 35, 15);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_k.hpp b/src/boost/libs/math/test/test_bessel_k.hpp
new file mode 100644
index 00000000..402df0bc
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k.hpp
@@ -0,0 +1,175 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_k_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_KN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_KN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_k(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_K_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_K_FUNCTION_TO_TEST
+   pg funcp = BESSEL_K_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_k<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_k;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_k_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_k_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> k0_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.421024438240708333335627379212609036136219748226660472298970) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.113893872749533435652719574932481832998326624388808882892530) }},
+        {{ SC_(0.0), SC_(4.0), SC_(0.0111596760858530242697451959798334892250090238884743405382553) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.000146470705222815387096584408698677921967305368833759024089154) }},
+        {{ SC_(0.0), SC_(0.000030517578125) /*T(std::ldexp(1.0, -15))*/, SC_(10.5131392267382037062459525561594822400447325776672021972753) }},
+        {{ SC_(0.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(20.9103469324567717360787328239372191382743831365906131108531) }},
+        {{ SC_(0.0), SC_(8.67361737988403547205962240695953369140625e-19) /*T(std::ldexp(1.0, -60))*/, SC_(41.7047623492551310138446473188663682295952219631968830346918) }},
+        {{ SC_(0.0), SC_(50.0), SC_(3.41016774978949551392067551235295223184502537762334808993276e-23) }},
+        {{ SC_(0.0), SC_(100.0), SC_(4.65662822917590201893900528948388635580753948544211387402671e-45) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> k1_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(0.601907230197234574737540001535617339261586889968106456017768) }},
+        {{ SC_(1.0), SC_(2.0), SC_(0.139865881816522427284598807035411023887234584841515530384442) }},
+        {{ SC_(1.0), SC_(4.0), SC_(0.0124834988872684314703841799808060684838415849886258457917076) }},
+        {{ SC_(1.0), SC_(8.0), SC_(0.000155369211805001133916862450622474621117065122872616157079566) }},
+        {{ SC_(1.0), SC_(0.000030517578125) /*T(std::ldexp(1.0, -15))*/, SC_(32767.9998319528316432647441316539139725104728341577594326513) }},
+        {{ SC_(1.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(1.07374182399999999003003028572687332810353799544215073362305e9) }},
+        {{ SC_(1.0), SC_(8.67361737988403547205962240695953369140625e-19) /*T(std::ldexp(1.0, -60))*/, SC_(1.15292150460684697599999999999999998169660198868126604634036e18) }},
+        {{ SC_(1.0), SC_(50.0), SC_(3.44410222671755561259185303591267155099677251348256880221927e-23) }},
+        {{ SC_(1.0), SC_(100.0), SC_(4.67985373563690928656254424202433530797494354694335352937465e-45) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> kn_data = {{
+        {{ SC_(2.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(2.30584300921369395150000000000000000234841952009593636868109e18) }},
+        {{ SC_(5.0), SC_(10.0), SC_(0.0000575418499853122792763740236992723196597629124356739596921536) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(5.27325611329294989461777188449044716451716555009882448801072e-45) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) }},
+        {{ SC_(10.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(3.78470202927236255215249281534478864916684072926050665209083e98) }},
+        {{ SC_(-10.0), SC_(1.0), SC_(1.80713289901029454691597861302340015908245782948536080022119e8) }},
+        {{ SC_(100.0), SC_(5.0), SC_(7.03986019306167654653386616796116726248616158936088056952477e115) }},
+        {{ SC_(100.0), SC_(80.0), SC_(8.39287107246490782848985384895907681748152272748337807033319e-12) }},
+        {{ SC_(-1000.0), SC_(700.0), SC_(6.51561979144735818903553852606383312984409361984128221539405e-31) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> kv_data = {{
+        {{ SC_(0.5), SC_(0.875), SC_(0.558532231646608646115729767013630967055657943463362504577189) }},
+        {{ SC_(0.5), SC_(1.125), SC_(0.383621010650189547146769320487006220295290256657827220786527) }},
+        {{ SC_(2.25), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(5.62397392719283271332307799146649700147907612095185712015604e20) }},
+        {{ SC_(5.5), SC_(3.1416015625) /*3217/1024*/, SC_(1.30623288775012596319554857587765179889689223531159532808379) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(0.0000733045300798502164644836879577484533096239574909573072142667) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(5.41274555306792267322084448693957747924412508020839543293369e-45) }},
+        {{ SC_(10.0), SC_(0.0009765625) /*1/1024*/, SC_(2.35522579263922076203415803966825431039900000000993410734978e38) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) }},
+        {{ SC_(141.3994140625) /*T(144793)/1024)*/, SC_(100.0), SC_(1.39565245860302528069481472855619216759142225046370312329416e-6) }},
+        {{ SC_(141.3994140625) /*T(144793)/1024)*/, SC_(200.0), SC_(9.11950412043225432171915100042647230802198254567007382956336e-68) }},
+        {{ SC_(-141.3994140625) /*T(-144793)/1024*/, SC_(50.0), SC_(1.30185229717525025165362673848737761549946548375142378172956e42) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> kv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-1.0), SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(2.68156158598851941991480499964116922549587316411847867554471e154) }},
+        {{ SC_(1.0),  SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(2.68156158598851941991480499964116922549587316411847867554471e154) }},
+        {{ SC_(-1.125), SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(5.53984048006472105611199242328122729730752165907526178753978e173) }},
+        {{ SC_(1.125),  SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(5.53984048006472105611199242328122729730752165907526178753978e173) }},
+        {{ SC_(0.5),  SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206) /*static_cast<T>(ldexp(0.5, -683))*/, SC_(1.12284149973980088540335945247019177715948513804063794284101e103) }},
+    }};
+
+    do_test_cyl_bessel_k<T>(k0_data, name, "Bessel K0: Mathworld Data");
+    do_test_cyl_bessel_k<T>(k1_data, name, "Bessel K1: Mathworld Data");
+    do_test_cyl_bessel_k<T>(kn_data, name, "Bessel Kn: Mathworld Data");
+
+    do_test_cyl_bessel_k_int<T>(k0_data, name, "Bessel K0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_int<T>(k1_data, name, "Bessel K1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_int<T>(kn_data, name, "Bessel Kn: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_k<T>(kv_data, name, "Bessel Kv: Mathworld Data");
+    if(0 != static_cast<T>(ldexp(0.5, -512)))
+      do_test_cyl_bessel_k<T>(kv_large_data, name, "Bessel Kv: Mathworld Data (large values)");
+#include "bessel_k_int_data.ipp"
+    do_test_cyl_bessel_k<T>(bessel_k_int_data, name, "Bessel Kn: Random Data");
+#include "bessel_k_data.ipp"
+    do_test_cyl_bessel_k<T>(bessel_k_data, name, "Bessel Kv: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_k_prime.cpp b/src/boost/libs/math/test/test_bessel_k_prime.cpp
new file mode 100644
index 00000000..6d69268f
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k_prime.cpp
@@ -0,0 +1,129 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include "test_bessel_k_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel K functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   //
+   // On MacOS X cyl_bessel_k has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a continued fraction evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4000, 1300);             // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 75);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 35, 15);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_k_prime.hpp b/src/boost/libs/math/test/test_bessel_k_prime.hpp
new file mode 100644
index 00000000..caeb03e7
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k_prime.hpp
@@ -0,0 +1,179 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_k_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_KPN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_KPN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_k_prime(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_KP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_KP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_k_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_k_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_k_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_k_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<T, 3>, 9> k0_prime_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(-0.60190723019723457473754000153561733926158688996810646) }},
+        {{ SC_(0.0), SC_(2.0), SC_(-0.1398658818165224272845988070354110238872345848415155) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.012483498887268431470384179980806068483841584988625846) }},
+        {{ SC_(0.0), SC_(8.0), SC_(-0.00015536921180500113391686245062247462111706512287261616) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -15)), SC_(-32767.99983195283164326474413165391397251047283415776) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -30)), SC_(-1.0737418239999999900300302857268733281035379954421507e9) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -60)), SC_(-1.1529215046068469759999999999999999816966019886812660e18) }},
+        {{ SC_(0.0), SC_(50.0), SC_(-3.44410222671755561259185303591267155099677251348256880e-23) }},
+        {{ SC_(0.0), SC_(100.0), SC_(-4.6798537356369092865625442420243353079749435469433535e-45) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 9> k1_prime_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(-1.0229316684379429080731673807482263753978066381947669) }},
+        {{ SC_(1.0), SC_(2.0), SC_(-0.1838268136577946492950189784501873449419439168095666) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.014280550807670132137341240975035006345969420135630802) }},
+        {{ SC_(1.0), SC_(8.0), SC_(-0.00016589185669844052883619221502648724960693850919283604) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -15)), SC_(-1.0737418290065696140247028419519880092107054138744140e9) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -30)), SC_(-1.1529215046068469862051734662283858692135761720165778e18) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -60)), SC_(-1.329227995784915872903807060280344596602381174627566e36) }},
+        {{ SC_(1.0), SC_(50.0), SC_(-3.47904979432384662617251257307120566286496082789299947e-23) }},
+        {{ SC_(1.0), SC_(100.0), SC_(-4.7034267665322711118046307319041297088872889209115474e-45) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 9> kn_prime_data = {{
+        {{ SC_(2.0), T(std::ldexp(1.0, -30)), SC_(-4.951760157141521099596496895999999995073222803776904e27) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.0000666323621535481236223011866087784024278980735437002384) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(-5.3060798744208349930861060378887340340201141387578377e-45) }},
+        {{ SC_(10.0), SC_(10.0), SC_(-0.00232426413420145080508626300083871228780582972491498296) }},
+        {{ SC_(10.0), T(std::ldexp(1.0, -30)), SC_(-4.0637928602074079595570948641288439020852370470244381e108) }},
+        {{ SC_(-10.0), SC_(1.0), SC_(-1.8171379399979651461891429013401068319174853467388121e9) }},
+        {{ SC_(100.0), SC_(5.0), SC_(-1.4097486373570936520327835736048715219413065916411893e117) }},
+        {{ SC_(100.0), SC_(80.0), SC_(-1.34557011017664184003144916855685180771861680634827508e-11) }},
+        {{ SC_(-1000.0), SC_(700.0), SC_(-1.136342773238774160870536985092768591616106526374957e-30) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 11> kv_prime_data = {{
+        {{ SC_(0.5), SC_(0.875), SC_(-0.8776935068732421581818610624499915196588910540138553643355820) }},
+        {{ SC_(0.5), SC_(1.125), SC_(-0.5541192376058293458786667962590089848709748151724170966916495) }},
+        {{ SC_(2.25), T(std::ldexp(1.0, -30)), SC_(-1.358706605110306964608847299464328015299661532e30) }},
+        {{ SC_(5.5), T(3217)/1024, SC_(-2.6903757178739422729800670428157504611799055394319992629519699) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(-0.000086479759593318257340087317655128751755482676477180134416784728) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(-5.4478425565190604625309457442097587701859746312164196732075323e-45) }},
+        {{ T(10240)/1024, T(1)/1024, SC_(-2.411751224440479729811903506282248205762559999997965494837863222e42) }},
+        {{ T(10240)/1024, SC_(10.0), SC_(-0.002324264134201450805086263000838712287805829724914982961118625775) }},
+        {{ T(144793)/1024, SC_(100.0), SC_(-2.419425330672365273534646536102117722944744737761477017402710069e-6) }},
+        {{ T(144793)/1024, SC_(200.0), SC_(-1.1183699286601178683373775100500418982738064865504029155187086e-67) }},
+        {{ T(-144793)/1024, SC_(50.0), SC_(-3.906473504308773541933992099338237076647113693807893258840087e42) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> kv_prime_large_data = {{
+        {{ SC_(-0.5), static_cast<T>(ldexp(0.5, -512)), SC_(-2.75176667129887692508287667455879592490037256500173136025362e231) }},
+        {{ SC_(0.5),  static_cast<T>(ldexp(0.5, -512)), SC_(-2.75176667129887692508287667455879592490037256500173136025362e231) }},
+#if LDBL_MAX_10_EXP > 328
+        {{ SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(-1.67123513518264734700327664054002130440723e328) }},
+        {{ SC_(1.125),  static_cast<T>(ldexp(0.5, -512)), SC_(-1.67123513518264734700327664054002130440723e328) }},
+        {{ SC_(0.5),  static_cast<T>(ldexp(0.5, -683)), SC_(-4.5061484409559214227217449664854025793393e308) }},
+#else
+        { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+        { { SC_(1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+        { { SC_(0.5), static_cast<T>(ldexp(0.5, -683)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+#endif
+    }};
+
+    do_test_cyl_bessel_k_prime<T>(k0_prime_data, name, "Bessel K'0: Mathworld Data");
+    do_test_cyl_bessel_k_prime<T>(k1_prime_data, name, "Bessel K'1: Mathworld Data");
+    do_test_cyl_bessel_k_prime<T>(kn_prime_data, name, "Bessel K'n: Mathworld Data");
+
+    do_test_cyl_bessel_k_prime_int<T>(k0_prime_data, name, "Bessel K'0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_prime_int<T>(k1_prime_data, name, "Bessel K'1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_prime_int<T>(kn_prime_data, name, "Bessel K'n: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_k_prime<T>(kv_prime_data, name, "Bessel K'v: Mathworld Data");
+    if(0 != static_cast<T>(ldexp(0.5, -512)))
+      do_test_cyl_bessel_k_prime<T>(kv_prime_large_data, name, "Bessel K'v: Mathworld Data (large values)");
+#include "bessel_k_prime_int_data.ipp"
+    do_test_cyl_bessel_k_prime<T>(bessel_k_prime_int_data, name, "Bessel K'n: Random Data");
+#include "bessel_k_prime_data.ipp"
+    do_test_cyl_bessel_k_prime<T>(bessel_k_prime_data, name, "Bessel K'v: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_y.cpp b/src/boost/libs/math/test/test_bessel_y.cpp
new file mode 100644
index 00000000..b37f190f
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y.cpp
@@ -0,0 +1,269 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include "test_bessel_y.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel Y function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // HP-UX and Solaris rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 1300, 500);               // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 400, 200);               // test function
+
+   //
+   // Mac OS X rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv1]).*",           // test data group
+      ".*", 600000, 100000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      "long double|real_concept",        // test type(s)
+      ".*Y[0].*",           // test data group
+      ".*", 1200, 1000);               // test function
+
+   //
+   // Linux:
+   //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // MinGW:
+   //
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // Solaris version of long double has it's own error rates,
+   // again just a touch higher than msvc's 64-bit double:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*Mathworld.*",              // test data group
+      ".*", 2000, 2000);         // test function
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y[Nn].*",              // test data group
+         ".*", 20, 20);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Yv.*",              // test data group
+         ".*", 80, 70);         // test function
+   }
+#endif
+   //
+   // defaults are based on MSVC-8 on Win32:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 2000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 1500, 1000);               // test function
+   //
+   // Fallback for sun has to go after the general cases above:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*",              // test data group
+      ".*", 200, 200);         // test function
+   //
+   // General fallback:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 80, 40);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Yv: Mathworld Data",    // test data group
+      ".*", 20, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_y.hpp b/src/boost/libs/math/test/test_bessel_y.hpp
new file mode 100644
index 00000000..2e2c4243
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y.hpp
@@ -0,0 +1,218 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_neumann_y(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_Y_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_Y_FUNCTION_TO_TEST
+   pg funcp = BESSEL_Y_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_neumann<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_neumann;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class T>
+T cyl_neumann_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_YN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_YN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_neumann(boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_neumann_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_neumann_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_neumann_y(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_YS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_neumann<value_type>;
+#else
+   pg funcp = boost::math::sph_neumann;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_neumann", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.0882569642156769579829267660235151628278175230906755467110438) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.510375672649745119596606592727157873268139227085846135571839) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.0169407393250649919036351344471532182404925898980149027169321) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.223521489387566220527323400498620359274814930781423577578334) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(-7.40316028370197013259676050746759072070960287586102867247159) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(-14.7325162726972420426916696426209144888762342592762415255386) }},
+        {{ SC_(0.0), SC_(1e-20), SC_(-29.3912282502857968601858410375186700783698345615477536431464) }},
+        {{ SC_(0.0), SC_(1e+03), SC_(0.00471591797762281339977326146566525500985900489680197718528000) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(0.00184676615886506410434074102431546125884886798090392516843524) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(-0.781212821300288716547150000047964820549906390716444607843833) }},
+        {{ SC_(1.0), SC_(2.0), SC_(-0.107032431540937546888370772277476636687480898235053860525795) }},
+        {{ SC_(1.0), SC_(4.0), SC_(0.397925710557100005253979972450791852271189181622908340876586) }},
+        {{ SC_(1.0), SC_(8.0), SC_(-0.158060461731247494255555266187483550327344049526705737651263) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(-6.36619772367581343150789184284462611709080831190542841855708e9) }},
+        {{ SC_(1.0), SC_(1e-20), SC_(-6.36619772367581343075535053490057448139324059868649274367256e19) }},
+        {{ SC_(1.0), SC_(1e+01), SC_(0.249015424206953883923283474663222803260416543069658461246944) }},
+        {{ SC_(1.0), SC_(1e+03), SC_(-0.0247843312923517789148623560971412909386318548648705287583490) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(0.00171921035008825630099494523539897102954509504993494957572726) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_data = {{
+        {{ SC_(2.0), SC_(1e-20), SC_(-1.27323954473516268615107010698011489627570899691226996904849e40) }},
+        {{ SC_(5.0), SC_(10.0), SC_(0.135403047689362303197029014762241709088405766746419538495983) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(0.000331052088322609048503535570014688967096938338061796192422114) }},
+        {{ SC_(10.0), SC_(10.0), SC_(-0.359814152183402722051986577343560609358382147846904467526222) }},
+        {{ SC_(10.0), SC_(1e-10), SC_(-1.18280490494334933900960937719565669877576135140014365217993e108) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(0.000725951969295187086245251366365393653610914686201194434805730) }},
+        {{ SC_(1e+02), SC_(5.0), SC_(-5.08486391602022287993091563093082035595081274976837280338134e115) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(0.00217254919137684037092834146629212647764581965821326561261181) }},
+        {{ SC_(-1e+03), SC_(7e+02), SC_(-1.88753109980945889960843803284345261796244752396992106755091e77) }},
+        {{ SC_(-25.0), SC_(8.0), SC_(3.45113613777297661997458045843868931827873456761831907587263e8) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> yv_data = {{
+        //SC_(2.25), {{ SC_(1.0) / 1024, SC_(-1.01759203636941035147948317764932151601257765988969544340275e7) }},
+        {{ SC_(0.5), SC_(9.5367431640625e-7) /* 1/(1024*1024)*/, SC_(-817.033790261762580469303126467917092806755460418223776544122) }},
+        {{ SC_(5.5), SC_(3.125), SC_(-2.61489440328417468776474188539366752698192046890955453259866) }},
+        {{ SC_(-5.5), SC_(3.125), SC_(-0.0274994493896489729948109971802244976377957234563871795364056) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(-0.00759343502722670361395585198154817047185480147294665270646578) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(0.0009765625) /*1/1024*/, SC_(-1.50382374389531766117868938966858995093408410498915220070230e38) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(1e+02), SC_(0.0583041891319026009955779707640455341990844522293730214223545) }},
+        {{ SC_(141.75), SC_(1e+02), SC_(-5.38829231428696507293191118661269920130838607482708483122068e9) }},
+        {{ SC_(141.75), SC_(2e+04), SC_(-0.00376577888677186194728129112270988602876597726657372330194186) }},
+        {{ SC_(-141.75), SC_(1e+02), SC_(-3.81009803444766877495905954105669819951653361036342457919021e9) }},
+        {{ SC_(8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.257086543428224355151772807588810984369026142375675714560864) }},
+        {{ SC_(-8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.0436807946352780974532519564114026730332781693877984686758680) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 7> yv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(-7.14823099969225685526188875418476476336424046896822867989728e102) }},
+        {{ SC_(-0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) }},
+        {{ SC_(0.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-23.4611779112897561252987257324561640034037313549011724328997) }},
+        {{ SC_(1.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-5.73416113922265864550047623401604244038331542638719289100990e15) }},
+        {{ SC_(2.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-1.03297463879542177245046832533417970379386617249046560049244e32) }},
+        {{ SC_(3.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-3.72168335868978735639260528876490232745489151562358712422544e48) }},
+        {{ SC_(10.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-4.15729476804920974669173904282420477878640623992500096231384e167) }},
+    }};
+
+    do_test_cyl_neumann_y<T>(y0_data, name, "Y0: Mathworld Data");
+    do_test_cyl_neumann_y<T>(y1_data, name, "Y1: Mathworld Data");
+    do_test_cyl_neumann_y<T>(yn_data, name, "Yn: Mathworld Data");
+    do_test_cyl_neumann_y_int<T>(y0_data, name, "Y0: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_int<T>(y1_data, name, "Y1: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_int<T>(yn_data, name, "Yn: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y<T>(yv_data, name, "Yv: Mathworld Data");
+    if(static_cast<T>(yv_large_data[0][1]) != 0)
+      do_test_cyl_neumann_y<T>(yv_large_data, name, "Yv: Mathworld Data (large values)");
+
+#include "bessel_y01_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_y01_data, name, "Y0 and Y1: Random Data");
+#include "bessel_yn_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_yn_data, name, "Yn: Random Data");
+#include "bessel_yv_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_yv_data, name, "Yv: Random Data");
+
+#include "sph_neumann_data.ipp"
+    do_test_sph_neumann_y<T>(sph_neumann_data, name, "y: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_y_prime.cpp b/src/boost/libs/math/test/test_bessel_y_prime.cpp
new file mode 100644
index 00000000..4bcfd8fb
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y_prime.cpp
@@ -0,0 +1,269 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_bessel_y_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel Y functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // HP-UX and Solaris rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 150000, 30000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y'[01Nv].*",           // test data group
+      ".*", 1300, 500);               // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Y'[01Nv].*",           // test data group
+      ".*", 400, 200);               // test function
+
+   //
+   // Mac OS X rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv1]).*",           // test data group
+      ".*", 600000, 100000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      "long double|real_concept",        // test type(s)
+      ".*Y'[0].*",           // test data group
+      ".*", 1500, 1000);               // test function
+
+   //
+   // Linux:
+   //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'v.*Random.*",              // test data group
+         ".*", 400000, 200000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'n.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // MinGW:
+   //
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'v.*Random.*",              // test data group
+         ".*", 400000, 300000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'n.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // Solaris version of long double has it's own error rates,
+   // again just a touch higher than msvc's 64-bit double:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y'[0N].*Mathworld.*",              // test data group
+      ".*", 2000, 2000);         // test function
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y'[Nn].*",              // test data group
+         ".*", 20, 20);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y'v.*",              // test data group
+         ".*", 200, 70);         // test function
+   }
+#endif
+   //
+   // defaults are based on MSVC-8 on Win32:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 40000, 3000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 40000, 3000);               // test function
+   //
+   // Fallback for sun has to go after the general cases above:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y'[0N].*",              // test data group
+      ".*", 200, 200);         // test function
+   //
+   // General fallback:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 700, 300);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Y'v: Mathworld Data",    // test data group
+      ".*", 30, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel_prime(0.1F, "float");
+#endif
+   test_bessel_prime(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_prime(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_y_prime.hpp b/src/boost/libs/math/test/test_bessel_y_prime.hpp
new file mode 100644
index 00000000..b2a89882
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y_prime.hpp
@@ -0,0 +1,221 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_YP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_neumann_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_neumann_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+#include <boost/math/concepts/real_concept.hpp>
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+T cyl_neumann_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_YNP_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_YNP_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_neumann_prime(boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YNP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_neumann_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_neumann_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann derivative against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_neumann_y_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YSP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_YPS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YPS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_neumann_prime<value_type>;
+#else
+   pg funcp = boost::math::sph_neumann_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_neumann_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel_prime(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and Y'(a, b):
+   // 
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_prime_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.7812128213002887165471500000479648205499063907164) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.1070324315409375468883707722774766366874808982351) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.397925710557100005253979972450791852271189181623) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.15806046173124749425555526618748355032734404952671) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(63661.97727536548515747484843924772510915025447869) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(6.366197723675813431507891842844626117090808311905e9) }},
+        {{ SC_(0.0), SC_(1e-20), SC_(6.366197723675813430755350534900574482790569176554e19) }},
+        {{ SC_(0.0), SC_(1e+03), SC_(0.0247843312923517789148623560971412909386318548649) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(-0.00171921035008825630099494523539897102954509505) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_prime_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(0.8694697855159656745300767660714799833777239138071) }},
+        {{ SC_(1.0), SC_(2.0), SC_(0.5638918884202138930407919788658961916118796762034) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.116422166964339993217130127559851181308289885304) }},
+        {{ SC_(1.0), SC_(8.0), SC_(0.24327904710397215730926780877205580306573293697226) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(6.366197723675813430034640215574901912821641347643e19) }},
+        {{ SC_(1.0), SC_(1e-20), SC_(6.366197723675813430755350534900574481363849370436e39) }},
+        {{ SC_(1.0), SC_(1e+01), SC_(0.030769624862904003032131529943867767819086460209939) }},
+        {{ SC_(1.0), SC_(1e+03), SC_(0.004740702308915165178688123821762396300797636752) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(0.00184674896676156322177773107486310726913857253) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_prime_data = {{
+        {{ SC_(2.0), SC_(1e-20), SC_(2.546479089470325372302140213960229792551354331847e60) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.21265103571277493482623417349611996600573875672875) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(0.00072596421871030053058120610033601018452750251) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.16051488637815838440809874678012991818716553338993) }},
+        {{ SC_(10.0), SC_(1e-10), SC_(1.1828049049433493390095436658120487349235941485975e119) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(-0.00033107967471992097725245404942310474516318425) }},
+        {{ SC_(1e+02), SC_(5.0), SC_(1.0156878983956300357005118672219842696133568692723e117) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(0.00128310308817651270517132752369325022363869159) }},
+        {{ SC_(-1e+03), SC_(7e+02), SC_(1.9243675144213106227065036295645482241938721428442e77) }},
+        {{ SC_(-25.0), SC_(8.0), SC_(-1.0191840913424144032043561764980932223038174827996e9) }}
+    }};
+    static const boost::array<boost::array<T, 3>, 11> yv_prime_data = {{
+        {{ SC_(0.5), T(1) / (1024*1024), SC_(4.283610118295381639304989276580713877375759e8) }},
+        {{ SC_(5.5), SC_(3.125), SC_(3.46903134947470280592767672475643312107258) }},
+        {{ SC_(-5.5), SC_(3.125), SC_(-0.04142495199637659623440832639970224440469) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(0.00245022241637437956702428797044365092097074) }},
+        {{ T(-10486074) / (1024*1024), T(1)/1024, SC_(1.539961618935582531021699399508514975292038639e42) }},
+        {{ T(-10486074) / (1024*1024), SC_(1e+02), SC_(-0.054782042073650048917092191171177791880141278121) }},
+        {{ SC_(141.75), SC_(1e+02), SC_(5.3859930471571245788582581390871501852536045509e9) }},
+        {{ SC_(141.75), SC_(2e+04), SC_(-0.0042010736481689878858599823347897260616269998902) }},
+        {{ SC_(-141.75), SC_(1e+02), SC_(3.8084722070683992315593455637944657331085673830e9) }},
+        {{ SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(0.014516314554743677558496402742690038592727861) }},
+        {{ SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.194590144622675911618596506265006877277073804) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 7> yv_prime_large_data = {{
+#if LDBL_MAX_10_EXP > 326
+        {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(2.868703194735890254207338863894358862705699335892099e308) }},
+#else
+        {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -400)), SC_(4.6822269214637968690651040333526494618220547616350e180) }},
+#endif
+        {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(3.5741154998461284276309443770923823816821202344841e102) }},
+        {{ SC_(0.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.73416113922265864550047623401604244038331542638719289e15) }},
+        {{ SC_(1.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.164873193977108862252341626669725460073766e31) }},
+        {{ SC_(2.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.8608416793448936781963026443824482966468761e48) }},
+        {{ SC_(3.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.0056583072431781406772110820260315331263726e65) }},
+        {{ SC_(10.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(3.74455823365114672304576809031094538692683400e184) }},
+    }};
+
+    do_test_cyl_neumann_y_prime<T>(y0_prime_data, name, "Y'0: Mathworld Data");
+    do_test_cyl_neumann_y_prime<T>(y1_prime_data, name, "Y'1: Mathworld Data");
+    do_test_cyl_neumann_y_prime<T>(yn_prime_data, name, "Y'n: Mathworld Data");
+    do_test_cyl_neumann_y_prime_int<T>(y0_prime_data, name, "Y'0: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime_int<T>(y1_prime_data, name, "Y'1: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime_int<T>(yn_prime_data, name, "Y'n: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime<T>(yv_prime_data, name, "Y'v: Mathworld Data");
+    if(yv_prime_large_data[0][1] != 0)
+      do_test_cyl_neumann_y_prime<T>(yv_prime_large_data, name, "Y'v: Mathworld Data (large values)");
+
+#include "bessel_y01_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_y01_prime_data, name, "Y'0 and Y'1: Random Data");
+#include "bessel_yn_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_yn_prime_data, name, "Y'n: Random Data");
+#include "bessel_yv_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_yv_prime_data, name, "Y'v: Random Data");
+
+#include "sph_neumann_prime_data.ipp"
+    do_test_sph_neumann_y_prime<T>(sph_neumann_prime_data, name, "y': Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_beta.cpp b/src/boost/libs/math/test/test_beta.cpp
new file mode 100644
index 00000000..c807757c
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta.cpp
@@ -0,0 +1,139 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_beta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function beta.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+#if LDBL_MANT_DIG == 106
+   // Darwin:
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS.*",                    // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 200, 35); // test function
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 8, 5);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 160, 35); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 30, 6);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 25, 15);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 150, 40); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 30, 15);   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F);
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_beta(0.1F, "float");
+   test_beta(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_beta(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_beta.hpp b/src/boost/libs/math/test/test_beta.hpp
new file mode 100644
index 00000000..f9c237d5
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta.hpp
@@ -0,0 +1,103 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
+# pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#undef small // VC++ #defines small char !!!!!!
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BETA_FUNCTION_TO_TEST
+   pg funcp = BETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::beta<value_type, value_type>;
+#else
+   pg funcp = boost::math::beta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test beta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and beta(a, b):
+   // 
+#  include "beta_small_data.ipp"
+
+   do_test_beta<T>(beta_small_data, name, "Beta Function: Small Values");
+
+#  include "beta_med_data.ipp"
+
+   do_test_beta<T>(beta_med_data, name, "Beta Function: Medium Values");
+
+#  include "beta_exp_data.ipp"
+
+   do_test_beta<T>(beta_exp_data, name, "Beta Function: Divergent Values");
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks, tolerance is 20 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 20 * 100;
+   T small = boost::math::tools::epsilon<T>() / 1024;
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(1)), static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(4)), static_cast<T>(0.25), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(1)), static_cast<T>(0.25), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(small, static_cast<T>(4)), 1/small, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), small), 1/small, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(20)), static_cast<T>(0.00002823263692828910220214568040654997176736L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(0.0125L), static_cast<T>(0.000023L)), static_cast<T>(43558.24045647538375006349016083320744662L), tolerance * 2);
+}
+
diff --git a/src/boost/libs/math/test/test_beta_dist.cpp b/src/boost/libs/math/test/test_beta_dist.cpp
new file mode 100644
index 00000000..249c646e
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta_dist.cpp
@@ -0,0 +1,664 @@
+// test_beta_dist.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007, 2009, 2010, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity tests for the beta Distribution.
+
+// http://members.aol.com/iandjmsmith/BETAEX.HTM  beta distribution calculator
+// Appreas to be a 64-bit calculator showing 17 decimal digit (last is noisy).
+// Similar to mathCAD?
+
+// http://www.nuhertz.com/statmat/distributions.html#Beta
+// Pretty graphs and explanations for most distributions.
+
+// http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp
+// provided 40 decimal digits accuracy incomplete beta aka beta regularized == cdf
+
+// http://www.ausvet.com.au/pprev/content.php?page=PPscript
+// mode 0.75    5/95% 0.9    alpha 7.39    beta 3.13
+// http://www.epi.ucdavis.edu/diagnostictests/betabuster.html
+// Beta Buster also calculates alpha and beta from mode & percentile estimates.
+// This is NOT (yet) implemented.
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated.
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/distributions/beta.hpp> // for beta_distribution
+using boost::math::beta_distribution;
+using boost::math::beta;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(
+     RealType a,    // alpha a
+     RealType b,    // beta b
+     RealType x,    // Probability
+     RealType P,    // CDF of beta(a, b)
+     RealType Q,    // Complement of CDF
+     RealType tol)  // Test tolerance.
+{
+   boost::math::beta_distribution<RealType> abeta(a, b);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(abeta, x), P, tol);
+   if((P < 0.99) && (Q < 0.99))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee that Q is free of error,
+      // (and similarly for Q)
+      BOOST_CHECK_CLOSE_FRACTION(
+         cdf(complement(abeta, x)), Q, tol);
+      if(x != 0)
+      {
+         BOOST_CHECK_CLOSE_FRACTION(
+            quantile(abeta, P), x, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+           && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(abeta, P) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      } // if k
+      if(x != 0)
+      {
+         BOOST_CHECK_CLOSE_FRACTION(quantile(complement(abeta, Q)), x, tol);
+      }
+      else
+      {  // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {  // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(complement(abeta, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      } // if x
+      // Estimate alpha & beta from mean and variance:
+
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_alpha(mean(abeta), variance(abeta)),
+         abeta.alpha(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_beta(mean(abeta), variance(abeta)),
+         abeta.beta(), tol);
+
+      // Estimate sample alpha and beta from others:
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_alpha(abeta.beta(), x, P),
+         abeta.alpha(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_beta(abeta.alpha(), x, P),
+         abeta.beta(), tol);
+   } // if((P < 0.99) && (Q < 0.99)
+
+} // template <class RealType> void test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks with 'known good' values.
+  // MathCAD test data is to double precision only,
+  // so set tolerance to 100 eps expressed as a fraction, or
+  // 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon())); // 0 if real_concept.
+
+   cout << "Boost::math::tools::epsilon = " << boost::math::tools::epsilon<RealType>() <<endl;
+   cout << "std::numeric_limits::epsilon = " << std::numeric_limits<RealType>::epsilon() <<endl;
+   cout << "epsilon = " << tolerance;
+
+   tolerance *= 100000; // Note: NO * 100 because is fraction, NOT %.
+   cout  << ", Tolerance = " << tolerance * 100 << "%." << endl;
+
+  // RealType teneps = boost::math::tools::epsilon<RealType>() * 10;
+
+  // Sources of spot test values:
+
+  // MathCAD defines dbeta(x, s1, s2) pdf, s1 == alpha, s2 = beta, x = x in Wolfram
+  // pbeta(x, s1, s2) cdf and qbeta(x, s1, s2) inverse of cdf
+  // returns pr(X ,= x) when random variable X
+  // has the beta distribution with parameters s1)alpha) and s2(beta).
+  // s1 > 0 and s2 >0 and 0 < x < 1 (but allows x == 0! and x == 1!)
+  // dbeta(0,1,1) = 0
+  // dbeta(0.5,1,1) = 1
+
+  using boost::math::beta_distribution;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  // Tests that should throw:
+  BOOST_MATH_CHECK_THROW(mode(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))), std::domain_error);
+  // mode is undefined, and throws domain_error!
+
+ // BOOST_MATH_CHECK_THROW(median(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))), std::domain_error);
+  // median is undefined, and throws domain_error!
+  // But now median IS provided via derived accessor as quantile(half).
+
+
+  BOOST_MATH_CHECK_THROW( // For various bad arguments.
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(1)), // bad alpha < 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1)), // bad alpha == 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(0)), // bad beta == 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(-1)), // bad beta < 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // bad x < 0.
+          static_cast<RealType>(-1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // bad x > 1.
+          static_cast<RealType>(999)), std::domain_error);
+
+  // Some exact pdf values.
+
+  BOOST_CHECK_EQUAL( // a = b = 1 is uniform distribution.
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(1)),  // x
+     static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0)),  // x
+     static_cast<RealType>(1));
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1),
+     tolerance);
+
+  BOOST_CHECK_EQUAL(
+     beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)).alpha(),
+     static_cast<RealType>(1) ); //
+
+  BOOST_CHECK_EQUAL(
+     mean(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))),
+     static_cast<RealType>(0.5) ); // Exact one half.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1.5), // Exactly 3/2
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1.5), // Exactly 3/2
+      tolerance);
+
+  // CDF
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.02800000000000000000000000000000000000000L), // Seems exact.
+     // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.1&a=2&b=2&digits=40
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0001)),  // x
+     static_cast<RealType>(2.999800000000000000000000000000000000000e-8L),
+     // http://members.aol.com/iandjmsmith/BETAEX.HTM 2.9998000000004
+     // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.0001&a=2&b=2&digits=40
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0001)),  // x
+     static_cast<RealType>(0.0005999400000000004L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+     // Slightly higher tolerance for real concept:
+     (std::numeric_limits<RealType>::is_specialized ? 1 : 10) * tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9999)),  // x
+     static_cast<RealType>(0.999999970002L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+     // Wolfram 0.9999999700020000000000000000000000000000
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9)),  // x
+     static_cast<RealType>(0.9961174629530394895796514664963063381217L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.2048327646991334516491978475505189480977L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.9)),  // x
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L)),  // x
+     static_cast<RealType>(0.9),
+     // Wolfram
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.6)),  // x
+     static_cast<RealType>(0.5640942168489749316118742861695149357858L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.5640942168489749316118742861695149357858L)),  // x
+     static_cast<RealType>(0.6),
+     // Wolfram
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.6)),  // x
+     static_cast<RealType>(0.1778078083562213736802876784474931812329L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1778078083562213736802876784474931812329L)),  // x
+     static_cast<RealType>(0.6),
+     // Wolfram
+      tolerance); // gives
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.1),  // 0.1000000000000000000000000000000000000000
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.1),  // 0.1000000000000000000000000000000000000000
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1))),  // complement of x
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L),
+     // Wolfram
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0280000000000000000000000000000000000L)),  // x
+     static_cast<RealType>(0.1),
+     // Wolfram
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.1))),  // x
+     static_cast<RealType>(0.9720000000000000000000000000000000000000L), // Exact.
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9999)),  // x
+     static_cast<RealType>(0.0005999399999999344L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+      tolerance*10); // Note loss of precision calculating 1-p test value.
+
+  //void test_spot(
+  //   RealType a,    // alpha a
+  //   RealType b,    // beta b
+  //   RealType x,    // Probability
+  //   RealType P,    // CDF of beta(a, b)
+  //   RealType Q,    // Complement of CDF
+  //   RealType tol)  // Test tolerance.
+
+   // These test quantiles and complements, and parameter estimates as well.
+  // Spot values using, for example:
+  // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.1&a=0.5&b=3&digits=40
+
+  test_spot(
+     static_cast<RealType>(1),   // alpha a
+     static_cast<RealType>(1),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.1), // Probability of result (CDF of beta), P
+     static_cast<RealType>(0.9),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.0280000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1 - 0.0280000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.5), // Probability  p
+     static_cast<RealType>(0.5), // Probability of result (CDF of beta), P
+     static_cast<RealType>(0.5),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.9), // Probability  p
+     static_cast<RealType>(0.972000000000000), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.972000000000000),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.01), // Probability  p
+     static_cast<RealType>(0.0002980000000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.0002980000000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.001), // Probability  p
+     static_cast<RealType>(2.998000000000000000000000000000000000000E-6L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-2.998000000000000000000000000000000000000E-6L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.0001), // Probability  p
+     static_cast<RealType>(2.999800000000000000000000000000000000000E-8L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-2.999800000000000000000000000000000000000E-8L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.99), // Probability  p
+     static_cast<RealType>(0.9997020000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.9997020000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.5), // Probability  p
+     static_cast<RealType>(0.8838834764831844055010554526310612991060L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.8838834764831844055010554526310612991060L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(3.),   // beta b
+     static_cast<RealType>(0.7), // Probability  p
+     static_cast<RealType>(0.9903963064097119299191611355232156905687L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.9903963064097119299191611355232156905687L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(3.),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.5545844446520295253493059553548880128511L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.5545844446520295253493059553548880128511L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+    //
+   // Error checks:
+   // Construction with 'bad' parameters.
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(0, 1), std::domain_error);
+
+   beta_distribution<> dist;
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+ // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   { 
+    // Attempt to construct from non-finite should throw.
+     RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(nan), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, nan), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(nan), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, nan), std::domain_error);
+#endif
+     
+    // Non-finite parameters should throw.
+     beta_distribution<RealType> w(RealType(1)); 
+     BOOST_MATH_CHECK_THROW(pdf(w, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(w, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +nan)), std::domain_error); // x = + nan
+     BOOST_MATH_CHECK_THROW(quantile(w, +nan), std::domain_error); // p = + nan
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +nan)), std::domain_error); // p = + nan
+  } // has_quiet_NaN
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     // Attempt to construct from non-finite should throw.
+     RealType inf = std::numeric_limits<RealType>::infinity(); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, inf), std::domain_error);
+#endif
+
+    // Non-finite parameters should throw.
+     beta_distribution<RealType> w(RealType(1)); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, inf), std::domain_error);
+#endif
+     BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+     BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+   } // has_infinity
+
+   // Error handling checks:
+   check_out_of_range<boost::math::beta_distribution<RealType> >(1, 1); // (All) valid constructor parameter values.
+   // and range and non-finite.
+
+   // Not needed??????
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::beta_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::beta_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::beta_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::beta_distribution<RealType>(1, 1), 2), std::domain_error);
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate beta distribution using one convenience methods:
+   beta_distribution<> mybeta11(1., 1.); // Using default RealType double.
+   // but that
+   // boost::math::beta mybeta1(1., 1.); // Using typedef fails.
+   // error C2039: 'beta' : is not a member of 'boost::math'
+
+   // Basic sanity-check spot values.
+
+   // Some simple checks using double only.
+   BOOST_CHECK_EQUAL(mybeta11.alpha(), 1); //
+   BOOST_CHECK_EQUAL(mybeta11.beta(), 1);
+   BOOST_CHECK_EQUAL(mean(mybeta11), 0.5); // 1 / (1 + 1) = 1/2 exactly
+   BOOST_MATH_CHECK_THROW(mode(mybeta11), std::domain_error);
+   beta_distribution<> mybeta22(2., 2.); // pdf is dome shape.
+   BOOST_CHECK_EQUAL(mode(mybeta22), 0.5); // 2-1 / (2+2-2) = 1/2 exactly.
+   beta_distribution<> mybetaH2(0.5, 2.); //
+   beta_distribution<> mybetaH3(0.5, 3.); //
+
+   // Check a few values using double.
+   BOOST_CHECK_EQUAL(pdf(mybeta11, 1), 1); // is uniform unity over 0 to 1,
+   BOOST_CHECK_EQUAL(pdf(mybeta11, 0), 1); // including zero and unity.
+   // Although these next three have an exact result, internally they're
+   // *not* treated as special cases, and may be out by a couple of eps:
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.5), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.0001), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.9999), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.1), 0.1, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.5), 0.5, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.9), 0.9, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_EQUAL(cdf(mybeta11, 1), 1.); // Exact unity expected.
+
+   double tol = std::numeric_limits<double>::epsilon() * 10;
+   BOOST_CHECK_EQUAL(pdf(mybeta22, 1), 0); // is dome shape.
+   BOOST_CHECK_EQUAL(pdf(mybeta22, 0), 0);
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.5), 1.5, tol); // top of dome, expect exactly 3/2.
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.0001), 5.9994000000000E-4, tol);
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.9999), 5.9994000000000E-4, tol*50);
+
+   BOOST_CHECK_EQUAL(cdf(mybeta22, 0.), 0); // cdf is a curved line from 0 to 1.
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.1), 0.028000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.5), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.9), 0.972000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.0001), 2.999800000000000000000000000000000000000E-8, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.001), 2.998000000000000000000000000000000000000E-6, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.01), 0.0002980000000000000000000000000000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.1), 0.02800000000000000000000000000000000000000, tol); // exact
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.99), 0.9997020000000000000000000000000000000000, tol);
+
+   BOOST_CHECK_EQUAL(cdf(mybeta22, 1), 1.); // Exact unity expected.
+
+   // Complement
+
+   BOOST_CHECK_CLOSE_FRACTION(cdf(complement(mybeta22, 0.9)), 0.028000000000000, tol);
+
+   // quantile.
+   BOOST_CHECK_CLOSE_FRACTION(quantile(mybeta22, 0.028), 0.1, tol);
+   BOOST_CHECK_CLOSE_FRACTION(quantile(complement(mybeta22, 1 - 0.028)), 0.1, tol);
+   BOOST_CHECK_EQUAL(kurtosis(mybeta11), 3+ kurtosis_excess(mybeta11)); // Check kurtosis_excess = kurtosis - 3;
+   BOOST_CHECK_CLOSE_FRACTION(variance(mybeta22), 0.05, tol);
+   BOOST_CHECK_CLOSE_FRACTION(mean(mybeta22), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(mode(mybeta22), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(median(mybeta22), 0.5, sqrt(tol)); // Theoretical maximum accuracy using Brent is sqrt(epsilon).
+
+   BOOST_CHECK_CLOSE_FRACTION(skewness(mybeta22), 0.0, tol);
+   BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(mybeta22), -144.0 / 168, tol);
+   BOOST_CHECK_CLOSE_FRACTION(skewness(beta_distribution<>(3, 5)), 0.30983866769659335081434123198259, tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(beta_distribution<double>::find_alpha(mean(mybeta22), variance(mybeta22)), mybeta22.alpha(), tol); // mean, variance, probability.
+   BOOST_CHECK_CLOSE_FRACTION(beta_distribution<double>::find_beta(mean(mybeta22), variance(mybeta22)), mybeta22.beta(), tol);// mean, variance, probability.
+
+   BOOST_CHECK_CLOSE_FRACTION(mybeta22.find_alpha(mybeta22.beta(), 0.8, cdf(mybeta22, 0.8)), mybeta22.alpha(), tol);
+   BOOST_CHECK_CLOSE_FRACTION(mybeta22.find_beta(mybeta22.alpha(), 0.8, cdf(mybeta22, 0.8)), mybeta22.beta(), tol);
+
+
+   beta_distribution<real_concept> rcbeta22(2, 2); // Using RealType real_concept.
+   cout << "numeric_limits<real_concept>::is_specialized " << numeric_limits<real_concept>::is_specialized << endl;
+   cout << "numeric_limits<real_concept>::digits " << numeric_limits<real_concept>::digits << endl;
+   cout << "numeric_limits<real_concept>::digits10 " << numeric_limits<real_concept>::digits10 << endl;
+   cout << "numeric_limits<real_concept>::epsilon " << numeric_limits<real_concept>::epsilon() << endl;
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+-Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_beta_dist.exe"
+Running 1 test case...
+numeric_limits<real_concept>::is_specialized 0
+numeric_limits<real_concept>::digits 0
+numeric_limits<real_concept>::digits10 0
+numeric_limits<real_concept>::epsilon 0
+Boost::math::tools::epsilon = 1.19209e-007
+std::numeric_limits::epsilon = 1.19209e-007
+epsilon = 1.19209e-007, Tolerance = 0.0119209%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 2.22045e-016
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 2.22045e-016
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 0
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+*** No errors detected
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_beta_hooks.hpp b/src/boost/libs/math/test/test_beta_hooks.hpp
new file mode 100644
index 00000000..4f512cd5
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta_hooks.hpp
@@ -0,0 +1,122 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_BETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_BETA_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double beta(double, double);
+   float betaf(float, float);
+   long double betal(long double, long double);
+
+   double incbet(double, double, double);
+   float incbetf(float, float, float);
+   long double incbetl(long double, long double, long double);
+}
+inline float beta(float a, float b)
+{ return betaf(a, b); }
+inline long double beta(long double a, long double b)
+{
+#ifdef BOOST_MSVC
+   return beta((double)a, (double)b); 
+#else
+   return betal(a, b); 
+#endif
+}
+inline float ibeta(float a, float b, float x)
+{ return incbetf(a, b, x); }
+inline double ibeta(double a, double b, double x)
+{ return incbet(a, b, x); }
+inline long double ibeta(long double a, long double b, long double x)
+{
+#ifdef BOOST_MSVC
+   return incbet((double)a, (double)b, (double)x); 
+#else
+   return incbetl(a, b); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_gamma.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+
+namespace other{
+inline float beta(float a, float b)
+{ return (float)gsl_sf_beta(a, b); }
+inline double beta(double a, double b)
+{ return gsl_sf_beta(a, b); }
+inline long double beta(long double a, long double b)
+{ return gsl_sf_beta(a, b); }
+
+inline float ibeta(float a, float b, float x)
+{ return (float)gsl_sf_beta_inc(a, b, x); }
+inline double ibeta(double a, double b, double x)
+{ return gsl_sf_beta_inc(a, b, x); }
+inline long double ibeta(long double a, long double b, long double x)
+{
+   return gsl_sf_beta_inc((double)a, (double)b, (double)x); 
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_BRATIO
+namespace other{
+extern "C" int bratio_(double*a, double*b, double*x, double*y, double*w, double*w1, int*ierr);
+
+inline float ibeta(float a, float b, float x)
+{
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+inline double ibeta(double a, double b, double x)
+{ 
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+inline long double ibeta(long double a, long double b, long double x)
+{
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept beta(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept ibeta(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_binomial.cpp b/src/boost/libs/math/test/test_binomial.cpp
new file mode 100644
index 00000000..b4a72ae5
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial.cpp
@@ -0,0 +1,774 @@
+// test_binomial.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Binomial Cumulative Distribution Function.
+
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/binomial.hpp> // for binomial_distribution
+using boost::math::binomial_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "table_type.hpp"
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(
+     RealType N,    // Number of trials
+     RealType k,    // Number of successes
+     RealType p,    // Probability of success
+     RealType P,    // CDF
+     RealType Q,    // Complement of CDF
+     RealType tol)  // Test tolerance
+{
+   boost::math::binomial_distribution<RealType> bn(N, p);
+   BOOST_CHECK_CLOSE(
+      cdf(bn, k), P, tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(bn, k)), Q, tol);
+      if(k != 0)
+      {
+         BOOST_CHECK_CLOSE(
+            quantile(bn, P), k, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(bn, P) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      }
+      if(k != 0)
+      {
+         BOOST_CHECK_CLOSE(
+            quantile(complement(bn, Q)), k, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(complement(bn, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      }
+      if(k > 0)
+      {
+         // estimate success ratio:
+         // Note lower bound uses a different formual internally
+         // from upper bound, have to adjust things to prevent
+         // fencepost errors:
+         BOOST_CHECK_CLOSE(
+            binomial_distribution<RealType>::find_lower_bound_on_p(
+               N, k+1, Q),
+            p, tol);
+         BOOST_CHECK_CLOSE(
+            binomial_distribution<RealType>::find_upper_bound_on_p(
+               N, k, P),
+            p, tol);
+
+         if(Q < P)
+         {
+            // Default method (Clopper Pearson)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q)
+                  );
+            BOOST_CHECK((
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q)
+                  <= k/N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q))
+                  );
+            // Bayes Method (Jeffreys Prior)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+               N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  );
+            BOOST_CHECK((
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <= k/N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval))
+                  );
+         }
+         else
+         {
+            // Default method (Clopper Pearson)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P)
+                  );
+            BOOST_CHECK(
+               (binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P)
+                  <= k / N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P))
+                  );
+            // Bayes Method (Jeffreys Prior)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  );
+            BOOST_CHECK(
+               (binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <= k / N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval))
+                  );
+         }
+      }
+      //
+      // estimate sample size:
+      //
+      BOOST_CHECK_CLOSE(
+         binomial_distribution<RealType>::find_minimum_number_of_trials(
+            k, p, P),
+         N, tol);
+      BOOST_CHECK_CLOSE(
+         binomial_distribution<RealType>::find_maximum_number_of_trials(
+            k, p, Q),
+         N, tol);
+   }
+
+   // Double check consistency of CDF and PDF by computing
+   // the finite sum:
+   RealType sum = 0;
+   for(unsigned i = 0; i <= k; ++i)
+      sum += pdf(bn, RealType(i));
+   BOOST_CHECK_CLOSE(
+      sum, P, tol);
+   // And complement as well:
+   sum = 0;
+   for(RealType i = N; i > k; i -= 1)
+      sum += pdf(bn, i);
+   if(P < 0.99)
+   {
+      BOOST_CHECK_CLOSE(
+         sum, Q, tol);
+   }
+   else
+   {
+      // Not enough information content in P for Q to be meaningful
+      RealType tol = (std::max)(2 * Q, boost::math::tools::epsilon<RealType>());
+      BOOST_CHECK(sum < tol);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType T)
+{
+  // Basic sanity checks, test data is to double precision only
+  // so set tolerance to 100eps expressed as a persent, or
+  // 100eps of type double expressed as a persent, whichever
+  // is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 100 * 1000;
+  RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a persent
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+
+  // Sources of spot test values:
+
+  // MathCAD defines pbinom(k, n, p)
+  // returns pr(X ,=k) when random variable X has the binomial distribution with parameters n and p.
+  // 0 <= k ,= n
+  // 0 <= p <= 1
+  // P = pbinom(30, 500, 0.05) = 0.869147702104609
+
+  using boost::math::binomial_distribution;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 0)
+  // Test binomial using cdf spot values from MathCAD.
+  // These test quantiles and complements as well.
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(30),                      // Number of successes, k
+     static_cast<RealType>(0.05),                    // Probability of success, p
+     static_cast<RealType>(0.869147702104609),       // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.869147702104609),   // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(250),                     // Number of successes, k
+     static_cast<RealType>(0.05),                    // Probability of success, p
+     static_cast<RealType>(1),                       // Probability of result (CDF), P
+     static_cast<RealType>(0),   // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(470),                     // Number of successes, k
+     static_cast<RealType>(0.95),                    // Probability of success, p
+     static_cast<RealType>(0.176470742656766),       // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.176470742656766),   // Q = 1 - P
+     tolerance * 10);                                // Note higher tolerance on this test!
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(400),                       // Number of successes, k
+     static_cast<RealType>(0.05),                      // Probability of success, p
+     static_cast<RealType>(1),                         // Probability of result (CDF), P
+     static_cast<RealType>(0),                         // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(400),                       // Number of successes, k
+     static_cast<RealType>(0.9),                       // Probability of success, p
+     static_cast<RealType>(1.80180425681923E-11),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 1.80180425681923E-11),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(5),                         // Number of successes, k
+     static_cast<RealType>(0.05),                      // Probability of success, p
+     static_cast<RealType>(9.181808267643E-7),         // Probability of result (CDF), P
+     static_cast<RealType>(1 - 9.181808267643E-7),     // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(2),                       // Sample size, N
+     static_cast<RealType>(1),                       // Number of successes, k
+     static_cast<RealType>(0.5),                     // Probability of success, p
+     static_cast<RealType>(0.75),                    // Probability of result (CDF), P
+     static_cast<RealType>(0.25),                    // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(3),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.8861846923828125),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.8861846923828125),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(0),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.1001129150390625),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.1001129150390625),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(1),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.36708068847656244),     // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.36708068847656244), // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(4),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.9727020263671875),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.9727020263671875),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(7),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.9999847412109375),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.9999847412109375),  // Q = 1 - P
+     tolerance);
+
+  // Tests on PDF follow:
+  BOOST_CHECK_CLOSE(
+     pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.75)),
+     static_cast<RealType>(10)),  // k.
+     static_cast<RealType>(0.00992227527967770583927631378173), // 0.00992227527967770583927631378173
+     tolerance);
+
+  BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.5)),
+    static_cast<RealType>(10)),  // k.
+    static_cast<RealType>(0.17619705200195312500000000000000000000), // get k=10 0.049611376398388612 p = 0.25
+    tolerance);
+
+  // Binomial pdf Test values from
+  // http://www.adsciengineering.com/bpdcalc/index.php  for example
+  // http://www.adsciengineering.com/bpdcalc/index.php?n=20&p=0.25&start=0&stop=20&Submit=Generate
+  // Appears to use at least 80-bit long double for 32 decimal digits accuracy,
+  // but loses accuracy of display if leading zeros?
+  // (if trailings zero then are exact values?)
+  // so useful for testing 64-bit double accuracy.
+  // P = 0.25, n = 20, k = 0 to 20
+
+  //0   C(20,0) * 0.25^0 * 0.75^20   0.00317121193893399322405457496643
+  //1   C(20,1) * 0.25^1 * 0.75^19   0.02114141292622662149369716644287
+  //2   C(20,2) * 0.25^2 * 0.75^18   0.06694780759971763473004102706909
+  //3   C(20,3) * 0.25^3 * 0.75^17   0.13389561519943526946008205413818
+  //4   C(20,4) * 0.25^4 * 0.75^16   0.18968545486586663173511624336242
+  //5   C(20,5) * 0.25^5 * 0.75^15   0.20233115185692440718412399291992
+  //6   C(20,6) * 0.25^6 * 0.75^14   0.16860929321410367265343666076660
+  //7   C(20,7) * 0.25^7 * 0.75^13   0.11240619547606911510229110717773
+  //8   C(20,8) * 0.25^8 * 0.75^12   0.06088668921620410401374101638793
+  //9   C(20,9) * 0.25^9 * 0.75^11   0.02706075076275737956166267395019
+  //10   C(20,10) * 0.25^10 * 0.75^10   0.00992227527967770583927631378173
+  //11   C(20,11) * 0.25^11 * 0.75^9   0.00300675008475081995129585266113
+  //12   C(20,12) * 0.25^12 * 0.75^8   0.00075168752118770498782396316528
+  //13   C(20,13) * 0.25^13 * 0.75^7   0.00015419231203850358724594116210
+  //14   C(20,14) * 0.25^14 * 0.75^6   0.00002569871867308393120765686035
+  //15   C(20,15) * 0.25^15 * 0.75^5   0.00000342649582307785749435424804
+  //16   C(20,16) * 0.25^16 * 0.75^4   0.00000035692664823727682232856750
+  //17   C(20,17) * 0.25^17 * 0.75^3   0.00000002799424692057073116302490
+  //18   C(20,18) * 0.25^18 * 0.75^2   0.00000000155523594003170728683471
+  //19   C(20,19) * 0.25^19 * 0.75^1   0.00000000005456968210637569427490
+  //20   C(20,20) * 0.25^20 * 0.75^0   0.00000000000090949470177292823791
+
+
+    BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(10)),  // k.
+    static_cast<RealType>(0.00992227527967770583927631378173), // k=10  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 0 use different formula - only exp so more accurate.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0)),  // k.
+    static_cast<RealType>(0.00317121193893399322405457496643), // k=0  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 20 use different formula - only exp so more accurate.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(20)),  // k == n.
+    static_cast<RealType>(0.00000000000090949470177292823791), // k=20  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 1.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),  // k.
+    static_cast<RealType>(0.02114141292622662149369716644287), // k=1  p = 0.25
+    tolerance);
+
+    // Some exact (probably) values.
+    BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0)),  // k.
+    static_cast<RealType>(0.10011291503906250000000000000000), // k=0  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 1.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),  // k.
+    static_cast<RealType>(0.26696777343750000000000000000000), // k=1  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 2.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(2)),  // k.
+    static_cast<RealType>(0.31146240234375000000000000000000), // k=2  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 3.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(3)),  // k.
+    static_cast<RealType>(0.20764160156250000000000000000000), // k=3  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 7.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(7)),  // k.
+    static_cast<RealType>(0.00036621093750000000000000000000), // k=7  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 8.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(8)),  // k = n.
+    static_cast<RealType>(0.00001525878906250000000000000000), // k=8  p = 0.25
+    tolerance);
+
+    binomial_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(0.25));
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8 * 0.25), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(8 * 0.25 * 0.75), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(sqrt(8 * 0.25L * 0.75L)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(std::floor(9 * 0.25)), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0.40824829046386301636621401245098L), (std::max)(tol2, static_cast<RealType>(5e-29))); // test data has 32 digits only.
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(2.916666666666666666666666666666666666L), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(-0.08333333333333333333333333333333333333L), tol2);
+    // Check kurtosis_excess == kurtosis -3;
+      BOOST_CHECK_EQUAL(kurtosis(dist), static_cast<RealType>(3) + kurtosis_excess(dist));
+
+    // special cases for PDF:
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(0)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(0.0001)), static_cast<RealType>(0)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(0.001)), static_cast<RealType>(0)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(8)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0)), static_cast<RealType>(1)
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(9)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(9)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+
+    BOOST_CHECK_EQUAL(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(16), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0.01)), // Less than cdf == pdf(binomial_distribution<RealType>(16, 0.25), 0)
+          static_cast<RealType>(0) // so expect zero as best approximation.
+       );
+
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(8)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(7)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(7)), static_cast<RealType>(0)
+       );
+
+#endif
+
+  {
+    // This is a visual sanity check that everything is OK:
+    binomial_distribution<RealType> my8dist(8., 0.25); // Note: double values (matching the distribution definition) avoid the need for any casting.
+    //cout << "mean(my8dist) = " << boost::math::mean(my8dist) << endl; // mean(my8dist) = 2
+    //cout << "my8dist.trials() = " << my8dist.trials()  << endl; // my8dist.trials() = 8
+    //cout << "my8dist.success_fraction() = " << my8dist.success_fraction()  << endl; // my8dist.success_fraction() = 0.25
+    BOOST_CHECK_CLOSE(my8dist.trials(), static_cast<RealType>(8), tol2);
+    BOOST_CHECK_CLOSE(my8dist.success_fraction(), static_cast<RealType>(0.25), tol2);
+
+   //{
+   //   int n = static_cast<int>(boost::math::tools::real_cast<double>(my8dist.trials()));
+   //   RealType sumcdf = 0.;
+   //   for (int k = 0; k <= n; k++)
+   //   {
+   //     cout << k << ' ' << pdf(my8dist, static_cast<RealType>(k));
+   //     sumcdf += pdf(my8dist, static_cast<RealType>(k));
+   //     cout  << ' '  << sumcdf;
+   //     cout << ' ' << cdf(my8dist, static_cast<RealType>(k));
+   //     cout << ' ' << sumcdf - cdf(my8dist, static_cast<RealType>(k)) << endl;
+   //   } // for k
+   // }
+    // n = 8, p =0.25
+    //k         pdf              cdf
+    //0 0.1001129150390625 0.1001129150390625
+    //1 0.26696777343749994 0.36708068847656244
+    //2 0.31146240234375017 0.67854309082031261
+    //3 0.20764160156249989 0.8861846923828125
+    //4 0.086517333984375 0.9727020263671875
+    //5 0.023071289062499997 0.9957733154296875
+    //6 0.0038452148437500009 0.9996185302734375
+    //7 0.00036621093749999984 0.9999847412109375
+    //8 1.52587890625e-005 1 1 0
+  }
+#define T RealType
+#include "binomial_quantile.ipp"
+
+  for(unsigned i = 0; i < binomial_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 500;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 10;  // no lanczos approximation implies less accuracy
+     RealType x;
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 1)
+     //
+     // Check full real value first:
+     //
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     binomial_distribution<RealType, P1> p1(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p1, binomial_quantile_data[i][2]);
+     BOOST_CHECK_CLOSE_FRACTION(x, (RealType)binomial_quantile_data[i][3], tol);
+     x = quantile(complement(p1, (RealType)binomial_quantile_data[i][2]));
+     BOOST_CHECK_CLOSE_FRACTION(x, (RealType)binomial_quantile_data[i][4], tol);
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 2)
+     //
+     // Now with round down to integer:
+     //
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     binomial_distribution<RealType, P2> p2(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p2, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)floor(binomial_quantile_data[i][3]));
+     x = quantile(complement(p2, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)floor(binomial_quantile_data[i][4]));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 3)
+     //
+     // Now with round up to integer:
+     //
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     binomial_distribution<RealType, P3> p3(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p3, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)ceil(binomial_quantile_data[i][3]));
+     x = quantile(complement(p3, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)ceil(binomial_quantile_data[i][4]));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 4)
+     //
+     // Now with round to integer "outside":
+     //
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     binomial_distribution<RealType, P4> p4(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p4, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? floor(binomial_quantile_data[i][3]) : ceil(binomial_quantile_data[i][3])));
+     x = quantile(complement(p4, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? ceil(binomial_quantile_data[i][4]) : floor(binomial_quantile_data[i][4])));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 5)
+     //
+     // Now with round to integer "inside":
+     //
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     binomial_distribution<RealType, P5> p5(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p5, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? ceil(binomial_quantile_data[i][3]) : floor(binomial_quantile_data[i][3])));
+     x = quantile(complement(p5, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? floor(binomial_quantile_data[i][4]) : ceil(binomial_quantile_data[i][4])));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 6)
+     //
+     // Now with round to nearest integer:
+     //
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     binomial_distribution<RealType, P6> p6(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p6, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(floor(binomial_quantile_data[i][3] + 0.5f)));
+     x = quantile(complement(p6, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(floor(binomial_quantile_data[i][4] + 0.5f)));
+#endif
+  }
+
+   check_out_of_range<boost::math::binomial_distribution<RealType> >(1, 1); // (All) valid constructor parameter values.
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate binomial distribution using one convenience methods:
+   binomial_distribution<> mybn2(1., 0.5); // Using default RealType double.
+  // but that
+   // boost::math::binomial mybn1(1., 0.5); // Using typedef fails
+  // error C2039: 'binomial' : is not a member of 'boost::math'
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+#if !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
+#ifdef TEST_REAL_CONCEPT
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_binomial.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.0119209 %
+  Tolerance for type double is 2.22045e-011 %
+  Tolerance for type long double is 2.22045e-011 %
+  Tolerance for type class boost::math::concepts::real_concept is 2.22045e-011 %
+
+  *** No errors detected
+
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
diff --git a/src/boost/libs/math/test/test_binomial_coeff.cpp b/src/boost/libs/math/test/test_binomial_coeff.cpp
new file mode 100644
index 00000000..4d840738
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial_coeff.cpp
@@ -0,0 +1,142 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp> 
+#include "test_binomial_coeff.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function binomial_coefficient<T>.  
+// The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these function.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 150, 30);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   T tolerance = boost::math::tools::epsilon<T>() * 50 * 100;  // 50 eps as a percentage
+   if(!std::numeric_limits<T>::is_specialized)
+      tolerance *= 10;  // beta function not so accurate without lanczos support
+
+   std::cout << "Testing spot checks for type " << name << " with tolerance " << tolerance << "%\n";
+
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 0), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 1), static_cast<T>(20));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 2), static_cast<T>(190));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 3), static_cast<T>(1140));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 20), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 19), static_cast<T>(20));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 18), static_cast<T>(190));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 17), static_cast<T>(1140));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 10), static_cast<T>(184756L));
+
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(100, 5), static_cast<T>(7.528752e7L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(100, 81), static_cast<T>(1.323415729392122674e20L), tolerance);
+
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 3), static_cast<T>(4.45510e6L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 7), static_cast<T>(4.043855956140000e13L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 290), static_cast<T>(1.3983202332417017700000000e18L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 275), static_cast<T>(1.953265141442868389822364184842211512000000e36L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(1.0F, "float");
+   test_spots(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(1.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(), "real_concept");
+#endif
+
+   test_binomial(1.0F, "float");
+   test_binomial(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_binomial(1.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_binomial(boost::math::concepts::real_concept(), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_binomial_coeff.hpp b/src/boost/libs/math/test/test_binomial_coeff.hpp
new file mode 100644
index 00000000..cfb8104e
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial_coeff.hpp
@@ -0,0 +1,80 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/binomial.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/tools/test.hpp>
+#include "functor.hpp"
+#include <boost/array.hpp>
+#include <iostream>
+#include <iomanip>
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T binomial_wrapper(T n, T k)
+{
+#ifdef BINOMIAL_FUNCTION_TO_TEST
+   return BINOMIAL_FUNCTION_TO_TEST(
+      boost::math::itrunc(n),
+      boost::math::itrunc(k));
+#else
+   return boost::math::binomial_coefficient<T>(
+      boost::math::itrunc(n),
+      boost::math::itrunc(k));
+#endif
+}
+
+template <class T>
+void test_binomial(T, const char* type_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BINOMIAL_FUNCTION_TO_TEST))
+   using namespace std;
+
+   typedef T (*func_t)(T, T);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   func_t f = &binomial_wrapper<T>;
+#else
+   func_t f = &binomial_wrapper;
+#endif
+
+#include "binomial_data.ipp"
+
+   boost::math::tools::test_result<T> result = boost::math::tools::test_hetero<T>(
+      binomial_data, 
+      bind_func<T>(f, 0, 1), 
+      extract_result<T>(2));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for small arguments and type " << type_name << std::endl << std::endl;
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   handle_test_result(result, binomial_data[result.worst()], result.worst(), type_name, "binomial_coefficient", "Binomials: small arguments");
+   std::cout << std::endl;
+
+#include "binomial_large_data.ipp"
+
+   result = boost::math::tools::test_hetero<T>(
+      binomial_large_data, 
+      bind_func<T>(f, 0, 1), 
+      extract_result<T>(2));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for large arguments and type " << type_name << std::endl << std::endl;
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   handle_test_result(result, binomial_large_data[result.worst()], result.worst(), type_name, "binomial_coefficient", "Binomials: large arguments");
+   std::cout << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_carlson.cpp b/src/boost/libs/math/test/test_carlson.cpp
new file mode 100644
index 00000000..6c46d79d
--- /dev/null
+++ b/src/boost/libs/math/test/test_carlson.cpp
@@ -0,0 +1,203 @@
+//  Copyright 2006 John Maddock
+// Copyright Paul A. Bristow 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_carlson.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Carlson Elliptic Integrals.  
+// There are two sets of tests, spot
+// tests which compare our results with the published test values, 
+// in Numerical Computation of Real or Complex Elliptic Integrals,
+// B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+// However, the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // real long doubles:
+   //
+   if(boost::math::policies::digits<long double, boost::math::policies::policy<> >() > 53)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         BOOST_PLATFORM,                          // platform
+         largest_type,                  // test type(s)
+         ".*RJ.*",      // test data group
+         ".*", 1000, 50);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         BOOST_PLATFORM,                          // platform
+         "real_concept",                  // test type(s)
+         ".*RJ.*",      // test data group
+         ".*", 1000, 50);  // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*RJ.*",      // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*RJ.*",      // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 25, 8);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 25, 8);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    boost::math::ellint_rj(1.778e-31, 1.407e+18, 10.05, -4.83e-10);
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+/*
+
+test_carlson.cpp
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_carlson.exe"
+Running 1 test case...
+Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
+Testing: RF: Random data
+boost::math::ellint_rf<float> Max = 0 RMS Mean=0
+Testing: RC: Random data
+boost::math::ellint_rc<float> Max = 0 RMS Mean=0
+Testing: RJ: Random data
+boost::math::ellint_rf<float> Max = 0 RMS Mean=0
+Testing: RD: Random data
+boost::math::ellint_rd<float> Max = 0 RMS Mean=0
+Testing: RF: Random data
+boost::math::ellint_rf<double> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<double> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<double> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<double> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+Testing: RF: Random data
+boost::math::ellint_rf<long double> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<long double> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<long double> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<long double> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+Testing: RF: Random data
+boost::math::ellint_rf<real_concept> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<real_concept> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<real_concept> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<real_concept> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_carlson.hpp b/src/boost/libs/math/test/test_carlson.hpp
new file mode 100644
index 00000000..48b68909
--- /dev/null
+++ b/src/boost/libs/math/test/test_carlson.hpp
@@ -0,0 +1,468 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include <boost/random.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_rf(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RF_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RF_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RF_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rf<value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rf;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rf", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rc(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RC_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RC_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type) = ELLINT_RC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type) = boost::math::ellint_rc<value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type) = boost::math::ellint_rc;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1),
+      extract_result<Real>(2));
+      handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rc", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rj(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RJ_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RJ_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type, value_type) = ELLINT_RJ_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type, value_type) = boost::math::ellint_rj<value_type, value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type, value_type) = boost::math::ellint_rj;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2, 3),
+      extract_result<Real>(4));
+      handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rj", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rd(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RD_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RD_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RD_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rd<value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rd;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+    handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rd", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rg(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RD_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RG_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RG_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg<value_type, value_type, value_type>;
+#else
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_rg", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4)
+#define TEST1
+#define TEST2
+#define TEST3
+#define TEST4
+#endif
+
+#ifdef TEST1
+
+template <typename T>
+void t1(T, const char* type_name)
+{
+#include "ellint_rf_data.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_data, type_name, "RF: Random data");
+}
+
+template <typename T>
+void t2(T, const char* type_name)
+{
+#include "ellint_rf_xxx.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xxx, type_name, "RF: x = y = z");
+}
+
+template <typename T>
+void t3(T, const char* type_name)
+{
+#include "ellint_rf_xyy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xyy, type_name, "RF: x = y or y = z or x = z");
+}
+
+template <typename T>
+void t4(T, const char* type_name)
+{
+#include "ellint_rf_0yy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_0yy, type_name, "RF: x = 0, y = z");
+}
+
+template <typename T>
+void t5(T, const char* type_name)
+{
+#include "ellint_rf_xy0.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xy0, type_name, "RF: z = 0");
+}
+
+#endif
+#ifdef TEST2
+
+template <typename T>
+void t6(T, const char* type_name)
+{
+#include "ellint_rc_data.ipp"
+
+   do_test_ellint_rc<T>(ellint_rc_data, type_name, "RC: Random data");
+}
+
+template <typename T>
+void t7(T, const char* type_name)
+{
+#include "ellint_rj_data.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_data, type_name, "RJ: Random data");
+}
+
+template <typename T>
+void t8(T, const char* type_name)
+{
+#include "ellint_rj_e4.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e4, type_name, "RJ: 4 Equal Values");
+}
+
+template <typename T>
+void t9(T, const char* type_name)
+{
+#include "ellint_rj_e3.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e3, type_name, "RJ: 3 Equal Values");
+}
+
+template <typename T>
+void t10(T, const char* type_name)
+{
+#include "ellint_rj_e2.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e2, type_name, "RJ: 2 Equal Values");
+}
+
+template <typename T>
+void t11(T, const char* type_name)
+{
+#include "ellint_rj_zp.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_zp, type_name, "RJ: Equal z and p");
+}
+
+#endif
+#ifdef TEST3
+
+template <typename T>
+void t12(T, const char* type_name)
+{
+#include "ellint_rd_data.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_data, type_name, "RD: Random data");
+}
+
+template <typename T>
+void t13(T, const char* type_name)
+{
+#include "ellint_rd_xyy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xyy, type_name, "RD: y = z");
+}
+
+template <typename T>
+void t14(T, const char* type_name)
+{
+#include "ellint_rd_xxz.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxz, type_name, "RD: x = y");
+}
+
+template <typename T>
+void t15(T, const char* type_name)
+{
+#include "ellint_rd_0yy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0yy, type_name, "RD: x = 0, y = z");
+}
+
+template <typename T>
+void t16(T, const char* type_name)
+{
+#include "ellint_rd_xxx.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxx, type_name, "RD: x = y = z");
+}
+
+template <typename T>
+void t17(T, const char* type_name)
+{
+#include "ellint_rd_0xy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0xy, type_name, "RD: x = 0");
+}
+
+#endif
+#ifdef TEST4
+
+template <typename T>
+void t18(T, const char* type_name)
+{
+#include "ellint_rg.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg, type_name, "RG: Random Data");
+}
+
+template <typename T>
+void t19(T, const char* type_name)
+{
+#include "ellint_rg_00x.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_00x, type_name, "RG: two values 0");
+}
+
+template <typename T>
+void t20(T, const char* type_name)
+{
+#include "ellint_rg_xxx.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xxx, type_name, "RG: All values the same or zero");
+}
+
+template <typename T>
+void t21(T, const char* type_name)
+{
+#include "ellint_rg_xyy.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xyy, type_name, "RG: two values the same");
+}
+
+template <typename T>
+void t22(T, const char* type_name)
+{
+#include "ellint_rg_xy0.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xy0, type_name, "RG: one value zero");
+}
+
+#endif
+
+template <typename T>
+void test_spots(T val, const char* type_name)
+{
+#ifndef TEST_UDT
+   using namespace boost::math;
+   using namespace std;
+   // Spot values from Numerical Computation of Real or Complex 
+   // Elliptic Integrals, B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+   // RF:
+   T tolerance = (std::max)(T(1e-13f), tools::epsilon<T>() * 5) * 100; // Note 5eps expressed as a persentage!!!
+   T eps2 = 5 * tools::epsilon<T>();
+   BOOST_CHECK_CLOSE(ellint_rf(T(1), T(2), T(0)), T(1.3110287771461), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rf(T(0.5), T(1), T(0)), T(1.8540746773014), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rf(T(2), T(3), T(4)), T(0.58408284167715), tolerance);
+   // RC:
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(0), T(1)/4), boost::math::constants::pi<T>(), eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(9)/4, T(2)), boost::math::constants::ln_two<T>(), eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(1) / 4, T(-2)), boost::math::constants::ln_two<T>() / 3, eps2);
+   // RJ:
+   BOOST_CHECK_CLOSE(ellint_rj(T(0), T(1), T(2), T(3)), T(0.77688623778582), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(5)), T(0.14297579667157), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(-0.5)), T(0.24723819703052), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(-5)), T(-0.12711230042964), tolerance);
+   // RD:
+   BOOST_CHECK_CLOSE(ellint_rd(T(0), T(2), T(1)), T(1.7972103521034), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rd(T(2), T(3), T(4)), T(0.16510527294261), tolerance);
+
+   // Sanity/consistency checks from Numerical Computation of Real or Complex 
+   // Elliptic Integrals, B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+   boost::mt19937 ran;
+   boost::uniform_real<float> ur(0, 1000);
+   T eps40 = 40 * tools::epsilon<T>();
+
+   for(unsigned i = 0; i < 1000; ++i)
+   {
+      T x = ur(ran);
+      T y = ur(ran);
+      T z = ur(ran);
+      T lambda = ur(ran);
+      T mu = x * y / lambda;
+      // RF, eq 49:
+      T s1 = ellint_rf(x+lambda, y+lambda, lambda) + 
+         ellint_rf(x + mu, y + mu, mu);
+      T s2 = ellint_rf(x, y, T(0));
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RC is degenerate case of RF:
+      s1 = ellint_rc(x, y);
+      s2 = ellint_rf(x, y, y);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RC, eq 50 (Note have to assume y = x):
+      T mu2 = x * x / lambda;
+      s1 = ellint_rc(lambda, x+lambda) 
+         + ellint_rc(mu2, x + mu2);
+      s2 = ellint_rc(T(0), x);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      /*
+      T p = ????; // no closed form for a, b and p???
+      s1 = ellint_rj(x+lambda, y+lambda, lambda, p+lambda)
+         + ellint_rj(x+mu, y+mu, mu, p+mu);
+      s2 = ellint_rj(x, y, T(0), p)
+         - 3 * ellint_rc(a, b);
+      */
+      // RD, eq 53:
+      s1 = ellint_rd(lambda, x+lambda, y+lambda)
+         + ellint_rd(mu, x+mu, y+mu);
+      s2 = ellint_rd(T(0), x, y)
+         - 3 / (y * sqrt(x+y+lambda+mu));
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RD is degenerate case of RJ:
+      s1 = ellint_rd(x, y, z);
+      s2 = ellint_rj(x, y, z, z);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+   }
+#endif
+   //
+   // Now random spot values:
+   //
+#ifdef TEST1
+   t1(val, type_name);
+   t2(val, type_name);
+   t3(val, type_name);
+   t4(val, type_name);
+   t5(val, type_name);
+#endif
+#ifdef TEST2
+   t6(val, type_name);
+   t7(val, type_name);
+   t8(val, type_name);
+   t9(val, type_name);
+   t10(val, type_name);
+   t11(val, type_name);
+#endif
+#ifdef TEST3
+   t12(val, type_name);
+   t13(val, type_name);
+   t14(val, type_name);
+   t15(val, type_name);
+   t16(val, type_name);
+   t17(val, type_name);
+#endif
+#ifdef TEST4
+   t18(val, type_name);
+   t19(val, type_name);
+   t20(val, type_name);
+   t21(val, type_name);
+   t22(val, type_name);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_cauchy.cpp b/src/boost/libs/math/test/test_cauchy.cpp
new file mode 100644
index 00000000..17d604ff
--- /dev/null
+++ b/src/boost/libs/math/test/test_cauchy.cpp
@@ -0,0 +1,741 @@
+// Copyright John Maddock 2006, 2007.
+// Copyright Paul A. Bristow 2007
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_cauchy.cpp Test Cauchy distribution
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#  pragma warning(disable: 4127) // conditional expression is constant
+#endif
+
+// #define BOOST_MATH_ASSERT_UNDEFINED_POLICY false 
+// To compile even if Cauchy mean is used.
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/cauchy.hpp>
+    using boost::math::cauchy_distribution;
+
+#include "test_out_of_range.hpp"
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+
+template <class RealType>
+void test_spots(RealType T)
+{
+  // Check some bad parameters to construct the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType> nbad1(0, 0), std::domain_error); // zero scale.
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType> nbad1(0, -1), std::domain_error); // negative scale (shape).
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType>(0, 0), std::domain_error); // zero scale.
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType>(0, -1), std::domain_error); // negative scale (shape).
+#endif
+  cauchy_distribution<RealType> C01;
+
+  BOOST_CHECK_EQUAL(C01.location(), 0); // Check standard values.
+  BOOST_CHECK_EQUAL(C01.scale(), 1);
+
+   // Basic sanity checks.
+  // 50eps as a percentage, up to a maximum of double precision
+  // (that's the limit of our test data).
+  RealType tolerance = (std::max)(
+     static_cast<RealType>(boost::math::tools::epsilon<double>()),
+     boost::math::tools::epsilon<RealType>());
+  tolerance *= 50 * 100;
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   // These first sets of test values were calculated by punching numbers
+   // into a calculator, and using the formulas on the Mathworld website:
+   // http://mathworld.wolfram.com/CauchyDistribution.html
+   // and values from MathCAD 200 Professional, 
+   // CDF:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.53958342416056554201085167134004L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.46041657583943445798914832865996L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.64758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.35241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0)),              // x
+         static_cast<RealType>(0.75),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0)),              // x
+         static_cast<RealType>(0.25),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0)),              // x
+         static_cast<RealType>(0.85241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0)),              // x
+         static_cast<RealType>(0.14758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0)),              // x
+         static_cast<RealType>(0.9682744825694464304850228813987L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0)),              // x
+         static_cast<RealType>(0.031725517430553569514977118601302L),                // probability.
+         tolerance); // %
+
+   //
+   // Complements:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125))),              // x
+         static_cast<RealType>(0.46041657583943445798914832865996L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125))),              // x
+         static_cast<RealType>(0.53958342416056554201085167134004L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5))),              // x
+         static_cast<RealType>(0.35241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5))),              // x
+         static_cast<RealType>(0.64758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0))),              // x
+         static_cast<RealType>(0.25),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0))),              // x
+         static_cast<RealType>(0.75),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0))),              // x
+         static_cast<RealType>(0.14758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0))),              // x
+         static_cast<RealType>(0.85241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0))),              // x
+         static_cast<RealType>(0.031725517430553569514977118601302L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0))),              // x
+         static_cast<RealType>(0.9682744825694464304850228813987L),                // probability.
+         tolerance); // %
+
+   //
+   // Quantiles:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.53958342416056554201085167134004L)),
+         static_cast<RealType>(0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.46041657583943445798914832865996L)),
+         static_cast<RealType>(-0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.64758361765043327417540107622474L)),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.35241638234956672582459892377526)),
+         static_cast<RealType>(-0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.75)),
+         static_cast<RealType>(1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.25)),
+         static_cast<RealType>(-1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.85241638234956672582459892377526L)),
+         static_cast<RealType>(2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.14758361765043327417540107622474L)),
+         static_cast<RealType>(-2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.9682744825694464304850228813987L)),
+         static_cast<RealType>(10.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.031725517430553569514977118601302L)),
+         static_cast<RealType>(-10.0),
+         tolerance); // %
+
+   //
+   // Quantile from complement:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.46041657583943445798914832865996L))),
+         static_cast<RealType>(0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.53958342416056554201085167134004L))),
+         static_cast<RealType>(-0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.35241638234956672582459892377526L))),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.64758361765043327417540107622474L))),
+         static_cast<RealType>(-0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.25))),
+         static_cast<RealType>(1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.75))),
+         static_cast<RealType>(-1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.14758361765043327417540107622474L))),
+         static_cast<RealType>(2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.85241638234956672582459892377526L))),
+         static_cast<RealType>(-2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.031725517430553569514977118601302L))),
+         static_cast<RealType>(10.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.9682744825694464304850228813987L))),
+         static_cast<RealType>(-10.0),
+         tolerance); // %
+
+   //
+   // PDF
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.31341281101173235351410956479511L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.31341281101173235351410956479511L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.25464790894703253723021402139602L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.25464790894703253723021402139602L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0)),              // x
+         static_cast<RealType>(0.15915494309189533576888376337251L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0)),              // x
+         static_cast<RealType>(0.15915494309189533576888376337251L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0)),              // x
+         static_cast<RealType>(0.063661977236758134307553505349006L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0)),              // x
+         static_cast<RealType>(0.063661977236758134307553505349006L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0)),              // x
+         static_cast<RealType>(0.0031515830315226799162155200667825L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0)),              // x
+         static_cast<RealType>(0.0031515830315226799162155200667825L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(2, 5),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.061213439650728975295724524374044L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(-2, 0.25),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.0087809623774838805941453110826215L),                // probability.
+         tolerance); // %
+
+   //
+   // The following test values were calculated using MathCad,
+   // precision seems to be about 10^-13.
+   //
+   tolerance = (std::max)(tolerance, static_cast<RealType>(1e-11));
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.271189304634946L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.125))),              // x
+         static_cast<RealType>(1 - 0.271189304634946L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.271189304634946L)),              // x
+         static_cast<RealType>(0.125),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(1 - 0.271189304634946L))),              // x
+         static_cast<RealType>(0.125),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.539583424160566L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.647583617650433L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.750000000000000),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(2)),              // x
+         static_cast<RealType>(0.852416382349567),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(10)),              // x
+         static_cast<RealType>(0.968274482569447),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(100)),              // x
+         static_cast<RealType>(0.996817007235092),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.460416575839434),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.352416382349567),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-1)),              // x
+         static_cast<RealType>(0.2500000000000000),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-2)),              // x
+         static_cast<RealType>(0.147583617650433),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-10)),              // x
+         static_cast<RealType>(0.031725517430554),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-100)),              // x
+         static_cast<RealType>(3.18299276490824E-3),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1.25)),              // x
+         static_cast<RealType>(0.515902251256176),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1.25)),              // x
+         static_cast<RealType>(0.385799748780092),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(3)),              // x
+         static_cast<RealType>(0.039583424160566),  // probability.
+         tolerance); // % 
+   BOOST_CHECK_CLOSE( 
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-2, static_cast<RealType>(0.0001)),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(3.1830988512275777e-5),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.455724386698215),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.506365349100973),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1.25))),              // x
+         static_cast<RealType>(1-0.515902251256176),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1.25))),              // x
+         static_cast<RealType>(1-0.385799748780092),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(3))),              // x
+         static_cast<RealType>(1-0.039583424160566),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-2, static_cast<RealType>(0.001)),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000318309780080539),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(-3))),              // x
+         static_cast<RealType>(1-0.455724386698215),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(-3))),              // x
+         static_cast<RealType>(1-0.506365349100973),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(0.515902251256176)),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(0.385799748780092)),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(0.039583424160566)),              // x
+         static_cast<RealType>(3),  // probability.
+         tolerance); // %
+   /*
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-2, 0.0001),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000015915494296),  // probability.
+         tolerance); // %
+         */
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(0.455724386698215)),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(0.506365349100973)),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1-0.515902251256176))),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1-0.385799748780092))),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(1-0.039583424160566))),              // x
+         static_cast<RealType>(3),  // probability.
+         tolerance); // %
+   /*
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-2, 0.0001),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000015915494296),  // probability.
+         tolerance); // %
+         */
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(1-0.455724386698215))),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(1-0.506365349100973))),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+
+   cauchy_distribution<RealType> dist; // default (0, 1)
+   BOOST_CHECK_EQUAL(
+       mode(dist),
+       static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(
+       median(dist),
+       static_cast<RealType>(0));
+   //
+   // Things that now don't compile (BOOST-STATIC_ASSERT_FAILURE) by default.
+   // #define BOOST_MATH_ASSERT_UNDEFINED_POLICY false 
+   // To compile even if Cauchy mean is used.
+   // See policy reference, mathematically undefined function policies
+   //
+   //BOOST_MATH_CHECK_THROW(
+   //    mean(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    variance(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    standard_deviation(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    kurtosis(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    kurtosis_excess(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    skewness(dist),
+   //    std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(0.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(1.0))),
+       std::overflow_error);
+
+   check_out_of_range<boost::math::cauchy_distribution<RealType> >(0, 1); // (All) valid constructor parameter values.
+
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+   // Check that can generate cauchy distribution using the two convenience methods:
+  boost::math::cauchy mycd1(1.); // Using typedef
+  cauchy_distribution<> mycd2(1.); // Using default RealType double.
+  cauchy_distribution<> C01; // Using default RealType double for Standard Cauchy.
+  BOOST_CHECK_EQUAL(C01.location(), 0); // Check standard values.
+  BOOST_CHECK_EQUAL(C01.scale(), 1);
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+Output:
+
+Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_cbrt.cpp b/src/boost/libs/math/test/test_cbrt.cpp
new file mode 100644
index 00000000..8b36a765
--- /dev/null
+++ b/src/boost/libs/math/test/test_cbrt.cpp
@@ -0,0 +1,92 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2010
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <pch_light.hpp> // include /libs/math/src/
+#include "test_cbrt.hpp"
+
+#include <boost/math/special_functions/cbrt.hpp> // Added to avoid link failure missing cbrt variants.
+// Assumes special functions library built rather than included?
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function cbrt.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   add_expected_result(
+      "Borland.*",                    // compiler
+      ".*",                           // stdlib
+      ".*",                           // platform
+      "long double",                  // test type(s)
+      ".*",                           // test data group
+      ".*", 10, 6);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_cbrt(0.1F, "float");
+   test_cbrt(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_cbrt(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_cbrt(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_cbrt.hpp b/src/boost/libs/math/test/test_cbrt.hpp
new file mode 100644
index 00000000..49886a37
--- /dev/null
+++ b/src/boost/libs/math/test/test_cbrt.hpp
@@ -0,0 +1,87 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real>
+struct negative_cbrt
+{
+   negative_cbrt(){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return boost::math::cbrt(Real(-Real(row[1])));
+   }
+};
+
+
+template <class Real, class T>
+void do_test_cbrt(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(CBRT_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef CBRT_FUNCTION_TO_TEST
+   pg funcp = boost::math::cbrt<value_type>;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cbrt<value_type>;
+#else
+   pg funcp = boost::math::cbrt;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cbrt against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 1), 
+      extract_result<Real>(0));
+   result += boost::math::tools::test_hetero<Real>(
+      data, 
+      negative_cbrt<Real>(), 
+      negate<Real>(extract_result<Real>(0)));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cbrt", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_cbrt(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file.
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "cbrt_data.ipp"
+
+   do_test_cbrt<T>(cbrt_data, name, "cbrt Function");
+
+}
+
diff --git a/src/boost/libs/math/test/test_chi_squared.cpp b/src/boost/libs/math/test/test_chi_squared.cpp
new file mode 100644
index 00000000..8f79b93a
--- /dev/null
+++ b/src/boost/libs/math/test/test_chi_squared.cpp
@@ -0,0 +1,594 @@
+// test_chi_squared.cpp
+
+// Copyright Paul A. Bristow 2006.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#  pragma warning(disable: 4127) // conditional expression is constant
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/chi_squared.hpp> // for chi_squared_distribution
+#include <boost/math/distributions/non_central_chi_squared.hpp> // for chi_squared_distribution
+using boost::math::chi_squared_distribution;
+using boost::math::chi_squared;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType df, RealType x)
+{
+   using namespace std; // For ADL of std functions.
+   RealType e = log(x) * ((df / 2) - 1) - (x / 2) - boost::math::lgamma(df/2);
+   e -= log(static_cast<RealType>(2)) * df / 2;
+   return exp(e);
+}
+
+template <class RealType>
+void test_spot(
+     RealType df,    // Degrees of freedom
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::chi_squared_distribution<RealType> dist(df);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), naive_pdf(dist.degrees_of_freedom(), cs), tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol);
+   }
+
+   boost::math::non_central_chi_squared_distribution<RealType> dist2(df, 0);
+   BOOST_CHECK_CLOSE(
+      cdf(dist2, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist2, cs), naive_pdf(dist2.degrees_of_freedom(), cs), tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist2, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist2, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist2, Q)), cs, tol);
+   }
+}
+
+//
+// This test data is taken from the tables of upper and lower
+// critical values of the Chi Squared distribution available
+// at http://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htm
+//
+double q[] = { 0.10, 0.05, 0.025, 0.01, 0.001 };
+double upper_critical_values[][6] = {
+  { 1,         2.706,    3.841,    5.024,    6.635,   10.828 },
+  { 2,         4.605,    5.991,    7.378,    9.210,   13.816 },
+  { 3,         6.251,    7.815,    9.348,   11.345,   16.266 },
+  { 4,         7.779,    9.488,   11.143,   13.277,   18.467 },
+  { 5,         9.236,   11.070,   12.833,   15.086,   20.515 },
+  { 6,        10.645,   12.592,   14.449,   16.812,   22.458 },
+  { 7,        12.017,   14.067,   16.013,   18.475,   24.322 },
+  { 8,        13.362,   15.507,   17.535,   20.090,   26.125 },
+  { 9,        14.684,   16.919,   19.023,   21.666,   27.877 },
+ { 10,        15.987,   18.307,   20.483,   23.209,   29.588 },
+ { 11,        17.275,   19.675,   21.920,   24.725,   31.264 },
+ { 12,        18.549,   21.026,   23.337,   26.217,   32.910 },
+ { 13,        19.812,   22.362,   24.736,   27.688,   34.528 },
+ { 14,        21.064,   23.685,   26.119,   29.141,   36.123 },
+ { 15,        22.307,   24.996,   27.488,   30.578,   37.697 },
+ { 16,        23.542,   26.296,   28.845,   32.000,   39.252 },
+ { 17,        24.769,   27.587,   30.191,   33.409,   40.790 },
+ { 18,        25.989,   28.869,   31.526,   34.805,   42.312 },
+ { 19,        27.204,   30.144,   32.852,   36.191,   43.820 },
+ { 20,        28.412,   31.410,   34.170,   37.566,   45.315 },
+ { 21,        29.615,   32.671,   35.479,   38.932,   46.797 },
+ { 22,        30.813,   33.924,   36.781,   40.289,   48.268 },
+ { 23,        32.007,   35.172,   38.076,   41.638,   49.728 },
+ { 24,        33.196,   36.415,   39.364,   42.980,   51.179 },
+ { 25,        34.382,   37.652,   40.646,   44.314,   52.620 },
+ { 26,        35.563,   38.885,   41.923,   45.642,   54.052 },
+ { 27,        36.741,   40.113,   43.195,   46.963,   55.476 },
+ { 28,        37.916,   41.337,   44.461,   48.278,   56.892 },
+ { 29,        39.087,   42.557,   45.722,   49.588,   58.301 },
+ { 30,        40.256,   43.773,   46.979,   50.892,   59.703 },
+ { 31,        41.422,   44.985,   48.232,   52.191,   61.098 },
+ { 32,        42.585,   46.194,   49.480,   53.486,   62.487 },
+ { 33,        43.745,   47.400,   50.725,   54.776,   63.870 },
+ { 34,        44.903,   48.602,   51.966,   56.061,   65.247 },
+ { 35,        46.059,   49.802,   53.203,   57.342,   66.619 },
+ { 36,        47.212,   50.998,   54.437,   58.619,   67.985 },
+ { 37,        48.363,   52.192,   55.668,   59.893,   69.347 },
+ { 38,        49.513,   53.384,   56.896,   61.162,   70.703 },
+ { 39,        50.660,   54.572,   58.120,   62.428,   72.055 },
+ { 40,        51.805,   55.758,   59.342,   63.691,   73.402 },
+ { 41,        52.949,   56.942,   60.561,   64.950,   74.745 },
+ { 42,        54.090,   58.124,   61.777,   66.206,   76.084 },
+ { 43,        55.230,   59.304,   62.990,   67.459,   77.419 },
+ { 44,        56.369,   60.481,   64.201,   68.710,   78.750 },
+ { 45,        57.505,   61.656,   65.410,   69.957,   80.077 },
+ { 46,        58.641,   62.830,   66.617,   71.201,   81.400 },
+ { 47,        59.774,   64.001,   67.821,   72.443,   82.720 },
+ { 48,        60.907,   65.171,   69.023,   73.683,   84.037 },
+ { 49,        62.038,   66.339,   70.222,   74.919,   85.351 },
+ { 50,        63.167,   67.505,   71.420,   76.154,   86.661 },
+ { 51,        64.295,   68.669,   72.616,   77.386,   87.968 },
+ { 52,        65.422,   69.832,   73.810,   78.616,   89.272 },
+ { 53,        66.548,   70.993,   75.002,   79.843,   90.573 },
+ { 54,        67.673,   72.153,   76.192,   81.069,   91.872 },
+ { 55,        68.796,   73.311,   77.380,   82.292,   93.168 },
+ { 56,        69.919,   74.468,   78.567,   83.513,   94.461 },
+ { 57,        71.040,   75.624,   79.752,   84.733,   95.751 },
+ { 58,        72.160,   76.778,   80.936,   85.950,   97.039 },
+ { 59,        73.279,   77.931,   82.117,   87.166,   98.324 },
+ { 60,        74.397,   79.082,   83.298,   88.379,   99.607 },
+ { 61,        75.514,   80.232,   84.476,   89.591,  100.888 },
+ { 62,        76.630,   81.381,   85.654,   90.802,  102.166 },
+ { 63,        77.745,   82.529,   86.830,   92.010,  103.442 },
+ { 64,        78.860,   83.675,   88.004,   93.217,  104.716 },
+ { 65,        79.973,   84.821,   89.177,   94.422,  105.988 },
+ { 66,        81.085,   85.965,   90.349,   95.626,  107.258 },
+ { 67,        82.197,   87.108,   91.519,   96.828,  108.526 },
+ { 68,        83.308,   88.250,   92.689,   98.028,  109.791 },
+ { 69,        84.418,   89.391,   93.856,   99.228,  111.055 },
+ { 70,        85.527,   90.531,   95.023,  100.425,  112.317 },
+ { 71,        86.635,   91.670,   96.189,  101.621,  113.577 },
+ { 72,        87.743,   92.808,   97.353,  102.816,  114.835 },
+ { 73,        88.850,   93.945,   98.516,  104.010,  116.092 },
+ { 74,        89.956,   95.081,   99.678,  105.202,  117.346 },
+ { 75,        91.061,   96.217,  100.839,  106.393,  118.599 },
+ { 76,        92.166,   97.351,  101.999,  107.583,  119.850 },
+ { 77,        93.270,   98.484,  103.158,  108.771,  121.100 },
+ { 78,        94.374,   99.617,  104.316,  109.958,  122.348 },
+ { 79,        95.476,  100.749,  105.473,  111.144,  123.594 },
+ { 80,        96.578,  101.879,  106.629,  112.329,  124.839 },
+ { 81,        97.680,  103.010,  107.783,  113.512,  126.083 },
+ { 82,        98.780,  104.139,  108.937,  114.695,  127.324 },
+ { 83,        99.880,  105.267,  110.090,  115.876,  128.565 },
+ { 84,       100.980,  106.395,  111.242,  117.057,  129.804 },
+ { 85,       102.079,  107.522,  112.393,  118.236,  131.041 },
+ { 86,       103.177,  108.648,  113.544,  119.414,  132.277 },
+ { 87,       104.275,  109.773,  114.693,  120.591,  133.512 },
+ { 88,       105.372,  110.898,  115.841,  121.767,  134.746 },
+ { 89,       106.469,  112.022,  116.989,  122.942,  135.978 },
+ { 90,       107.565,  113.145,  118.136,  124.116,  137.208 },
+ { 91,       108.661,  114.268,  119.282,  125.289,  138.438 },
+ { 92,       109.756,  115.390,  120.427,  126.462,  139.666 },
+ { 93,       110.850,  116.511,  121.571,  127.633,  140.893 },
+ { 94,       111.944,  117.632,  122.715,  128.803,  142.119 },
+ { 95,       113.038,  118.752,  123.858,  129.973,  143.344 },
+ { 96,       114.131,  119.871,  125.000,  131.141,  144.567 },
+ { 97,       115.223,  120.990,  126.141,  132.309,  145.789 },
+ { 98,       116.315,  122.108,  127.282,  133.476,  147.010 },
+ { 99,       117.407,  123.225,  128.422,  134.642,  148.230 },
+ { 100,       118.498,  124.342,  129.561,  135.807,  149.449 },
+ {100,       118.498,  124.342,  129.561,  135.807,  149.449 }
+};
+
+double lower_critical_values[][6] = {
+   /*
+   These have fewer than 4 significant digits, leave them out
+   of the tests for now:
+     1.,         .016,     .004,     .001,     .000,     .000,
+     2.,         .211,     .103,     .051,     .020,     .002,
+     3.,         .584,     .352,     .216,     .115,     .024,
+     4.,        1.064,     .711,     .484,     .297,     .091,
+     5.,        1.610,    1.145,     .831,     .554,     .210,
+     6.,        2.204,    1.635,    1.237,     .872,     .381,
+     7.,        2.833,    2.167,    1.690,    1.239,     .598,
+     8.,        3.490,    2.733,    2.180,    1.646,     .857,
+     */
+     { 9.,        4.168,    3.325,    2.700,    2.088,    1.152 },
+    { 10.,        4.865,    3.940,    3.247,    2.558,    1.479 },
+    { 11.,        5.578,    4.575,    3.816,    3.053,    1.834 },
+    { 12.,        6.304,    5.226,    4.404,    3.571,    2.214 },
+    { 13.,        7.042,    5.892,    5.009,    4.107,    2.617 },
+    { 14.,        7.790,    6.571,    5.629,    4.660,    3.041 },
+    { 15.,        8.547,    7.261,    6.262,    5.229,    3.483 },
+    { 16.,        9.312,    7.962,    6.908,    5.812,    3.942 },
+    { 17.,       10.085,    8.672,    7.564,    6.408,    4.416 },
+    { 18.,       10.865,    9.390,    8.231,    7.015,    4.905 },
+    { 19.,       11.651,   10.117,    8.907,    7.633,    5.407 },
+    { 20.,       12.443,   10.851,    9.591,    8.260,    5.921 },
+    { 21.,       13.240,   11.591,   10.283,    8.897,    6.447 },
+    { 22.,       14.041,   12.338,   10.982,    9.542,    6.983 },
+    { 23.,       14.848,   13.091,   11.689,   10.196,    7.529 },
+    { 24.,       15.659,   13.848,   12.401,   10.856,    8.085 },
+    { 25.,       16.473,   14.611,   13.120,   11.524,    8.649 },
+    { 26.,       17.292,   15.379,   13.844,   12.198,    9.222 },
+    { 27.,       18.114,   16.151,   14.573,   12.879,    9.803 },
+    { 28.,       18.939,   16.928,   15.308,   13.565,   10.391 },
+    { 29.,       19.768,   17.708,   16.047,   14.256,   10.986 },
+    { 30.,       20.599,   18.493,   16.791,   14.953,   11.588 },
+    { 31.,       21.434,   19.281,   17.539,   15.655,   12.196 },
+    { 32.,       22.271,   20.072,   18.291,   16.362,   12.811 },
+    { 33.,       23.110,   20.867,   19.047,   17.074,   13.431 },
+    { 34.,       23.952,   21.664,   19.806,   17.789,   14.057 },
+    { 35.,       24.797,   22.465,   20.569,   18.509,   14.688 },
+    { 36.,       25.643,   23.269,   21.336,   19.233,   15.324 },
+    { 37.,       26.492,   24.075,   22.106,   19.960,   15.965 },
+    { 38.,       27.343,   24.884,   22.878,   20.691,   16.611 },
+    { 39.,       28.196,   25.695,   23.654,   21.426,   17.262 },
+    { 40.,       29.051,   26.509,   24.433,   22.164,   17.916 },
+    { 41.,       29.907,   27.326,   25.215,   22.906,   18.575 },
+    { 42.,       30.765,   28.144,   25.999,   23.650,   19.239 },
+    { 43.,       31.625,   28.965,   26.785,   24.398,   19.906 },
+    { 44.,       32.487,   29.787,   27.575,   25.148,   20.576 },
+    { 45.,       33.350,   30.612,   28.366,   25.901,   21.251 },
+    { 46.,       34.215,   31.439,   29.160,   26.657,   21.929 },
+    { 47.,       35.081,   32.268,   29.956,   27.416,   22.610 },
+    { 48.,       35.949,   33.098,   30.755,   28.177,   23.295 },
+    { 49.,       36.818,   33.930,   31.555,   28.941,   23.983 },
+    { 50.,       37.689,   34.764,   32.357,   29.707,   24.674 },
+    { 51.,       38.560,   35.600,   33.162,   30.475,   25.368 },
+    { 52.,       39.433,   36.437,   33.968,   31.246,   26.065 },
+    { 53.,       40.308,   37.276,   34.776,   32.018,   26.765 },
+    { 54.,       41.183,   38.116,   35.586,   32.793,   27.468 },
+    { 55.,       42.060,   38.958,   36.398,   33.570,   28.173 },
+    { 56.,       42.937,   39.801,   37.212,   34.350,   28.881 },
+    { 57.,       43.816,   40.646,   38.027,   35.131,   29.592 },
+    { 58.,       44.696,   41.492,   38.844,   35.913,   30.305 },
+    { 59.,       45.577,   42.339,   39.662,   36.698,   31.020 },
+    { 60.,       46.459,   43.188,   40.482,   37.485,   31.738 },
+    { 61.,       47.342,   44.038,   41.303,   38.273,   32.459 },
+    { 62.,       48.226,   44.889,   42.126,   39.063,   33.181 },
+    { 63.,       49.111,   45.741,   42.950,   39.855,   33.906 },
+    { 64.,       49.996,   46.595,   43.776,   40.649,   34.633 },
+    { 65.,       50.883,   47.450,   44.603,   41.444,   35.362 },
+    { 66.,       51.770,   48.305,   45.431,   42.240,   36.093 },
+    { 67.,       52.659,   49.162,   46.261,   43.038,   36.826 },
+    { 68.,       53.548,   50.020,   47.092,   43.838,   37.561 },
+    { 69.,       54.438,   50.879,   47.924,   44.639,   38.298 },
+    { 70.,       55.329,   51.739,   48.758,   45.442,   39.036 },
+    { 71.,       56.221,   52.600,   49.592,   46.246,   39.777 },
+    { 72.,       57.113,   53.462,   50.428,   47.051,   40.519 },
+    { 73.,       58.006,   54.325,   51.265,   47.858,   41.264 },
+    { 74.,       58.900,   55.189,   52.103,   48.666,   42.010 },
+    { 75.,       59.795,   56.054,   52.942,   49.475,   42.757 },
+    { 76.,       60.690,   56.920,   53.782,   50.286,   43.507 },
+    { 77.,       61.586,   57.786,   54.623,   51.097,   44.258 },
+    { 78.,       62.483,   58.654,   55.466,   51.910,   45.010 },
+    { 79.,       63.380,   59.522,   56.309,   52.725,   45.764 },
+    { 80.,       64.278,   60.391,   57.153,   53.540,   46.520 },
+    { 81.,       65.176,   61.261,   57.998,   54.357,   47.277 },
+    { 82.,       66.076,   62.132,   58.845,   55.174,   48.036 },
+    { 83.,       66.976,   63.004,   59.692,   55.993,   48.796 },
+    { 84.,       67.876,   63.876,   60.540,   56.813,   49.557 },
+    { 85.,       68.777,   64.749,   61.389,   57.634,   50.320 },
+    { 86.,       69.679,   65.623,   62.239,   58.456,   51.085 },
+    { 87.,       70.581,   66.498,   63.089,   59.279,   51.850 },
+    { 88.,       71.484,   67.373,   63.941,   60.103,   52.617 },
+    { 89.,       72.387,   68.249,   64.793,   60.928,   53.386 },
+    { 90.,       73.291,   69.126,   65.647,   61.754,   54.155 },
+    { 91.,       74.196,   70.003,   66.501,   62.581,   54.926 },
+    { 92.,       75.100,   70.882,   67.356,   63.409,   55.698 },
+    { 93.,       76.006,   71.760,   68.211,   64.238,   56.472 },
+    { 94.,       76.912,   72.640,   69.068,   65.068,   57.246 },
+    { 95.,       77.818,   73.520,   69.925,   65.898,   58.022 },
+    { 96.,       78.725,   74.401,   70.783,   66.730,   58.799 },
+    { 97.,       79.633,   75.282,   71.642,   67.562,   59.577 },
+    { 98.,       80.541,   76.164,   72.501,   68.396,   60.356 },
+    { 99.,       81.449,   77.046,   73.361,   69.230,   61.137 },
+    {100.,       82.358,   77.929,   74.222,   70.065,   61.918 }
+};
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType T)
+{
+  // Basic sanity checks, test data is to three decimal places only
+  // so set tolerance to 0.001 expressed as a persentage.
+
+  RealType tolerance = 0.001f * 100;
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+  using boost::math::chi_squared_distribution;
+  using  ::boost::math::chi_squared;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  for(unsigned i = 0; i < sizeof(upper_critical_values) / sizeof(upper_critical_values[0]); ++i)
+  {
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][1]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[0]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[0]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][2]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[1]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[1]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][3]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[2]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[2]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][4]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[3]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[3]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][5]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[4]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[4]),           // Q = 1 - P
+        tolerance);
+  }
+
+  for(unsigned i = 0; i < sizeof(lower_critical_values) / sizeof(lower_critical_values[0]); ++i)
+  {
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][1]),   // Chi Squared statistic
+        static_cast<RealType>(q[0]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[0]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][2]),   // Chi Squared statistic
+        static_cast<RealType>(q[1]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[1]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][3]),   // Chi Squared statistic
+        static_cast<RealType>(q[2]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[2]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][4]),   // Chi Squared statistic
+        static_cast<RealType>(q[3]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[3]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][5]),   // Chi Squared statistic
+        static_cast<RealType>(q[4]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[4]),           // Q = 1 - P
+        tolerance);
+  }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+    chi_squared_distribution<RealType> dist(static_cast<RealType>(8));
+    RealType x = 7;
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(16), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(4), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(6), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist), 
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(1), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(4.5), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(1.5), tol2);
+    // special cases:
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(1)),
+          static_cast<RealType>(0)), std::overflow_error
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.5f));
+    BOOST_CHECK_EQUAL(
+       pdf(chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(1), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(1), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(2), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(3), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(0.5)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(1.1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(0.5))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(1.1))), std::domain_error
+       );
+
+    // This first test value is taken from an example here:
+    // http://www.itl.nist.gov/div898/handbook/prc/section2/prc232.htm
+    // Subsequent tests just test our empirically generated values, they
+    // catch regressions, but otherwise aren't worth much.
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         55, 0.05f, 0.01f, 100)), static_cast<RealType>(170));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         10, 0.05f, 0.01f, 100)), static_cast<RealType>(3493));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         -55, 0.05f, 0.01f, 100)), static_cast<RealType>(49));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         -10, 0.05f, 0.01f, 100)), static_cast<RealType>(2826));
+
+    check_out_of_range<boost::math::chi_squared_distribution<RealType> >(1); // (All) valid constructor parameter values.
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+  // Check that can generate chi_squared distribution using the two convenience methods:
+  chi_squared_distribution<> mychisqr(8);
+  chi_squared mychisqr2(8);
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_chi_squared.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.1 %
+  Tolerance for type double is 0.1 %
+  Tolerance for type long double is 0.1 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.1 %
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_classify.cpp b/src/boost/libs/math/test/test_classify.cpp
new file mode 100644
index 00000000..52d2b2d7
--- /dev/null
+++ b/src/boost/libs/math/test/test_classify.cpp
@@ -0,0 +1,313 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <cmath>
+#include <math.h>
+#include <boost/limits.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#pragma warning(disable: 4127 4146) //  conditional expression is constant
+#endif
+
+const char* method_name(const boost::math::detail::native_tag&)
+{
+   return "Native";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<true>&)
+{
+   return "Generic (with numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<false>&)
+{
+   return "Generic (without numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::ieee_tag&)
+{
+   return "IEEE std";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_all_bits_tag&)
+{
+   return "IEEE std, copy all bits";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_leading_bits_tag&)
+{
+   return "IEEE std, copy leading bits";
+}
+
+template <class T>
+void test_classify(T t, const char* type)
+{
+   std::cout << "Testing type " << type << std::endl;
+
+   typedef typename boost::math::detail::fp_traits<T>::type traits;
+   typedef typename traits::method method;
+
+   std::cout << "Evaluation method = " << method_name(method()) << std::endl;   
+
+   t = 2;
+   T u = 2;
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      t = (std::numeric_limits<T>::max)();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+      t = (std::numeric_limits<T>::min)();
+      if(t != 0)
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+         if(!std::numeric_limits<T>::is_integer)
+         {
+            BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+            BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+            BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+            BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+            BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         }
+      }
+   }
+   if(std::numeric_limits<T>::has_denorm)
+   {
+      t = (std::numeric_limits<T>::min)();
+      t /= 2;
+      if(t != 0)
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      }
+      t = std::numeric_limits<T>::denorm_min();
+      if((t != 0) && (t < (std::numeric_limits<T>::min)()))
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      }
+   }
+   else
+   {
+      std::cout << "Denormalised forms not tested" << std::endl;
+   }
+   t = 0;
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   t /= -u; // create minus zero if it exists
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   // infinity:
+   if(std::numeric_limits<T>::has_infinity) 
+   {
+      // At least one std::numeric_limits<T>::infinity)() returns zero 
+      // (Compaq true64 cxx), hence the check.
+      t = (std::numeric_limits<T>::infinity)();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+#if !defined(__BORLANDC__) && !(defined(__DECCXX) && !defined(_IEEE_FP))
+      // divide by zero on Borland triggers a C++ exception :-(
+      // divide by zero on Compaq CXX triggers a C style signal :-(
+      t = 2;
+      u = 0;
+      t /= u;
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      t = -2;
+      t /= u;
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+#else
+      std::cout << "Infinities from divide by zero not tested" << std::endl;
+#endif
+   }
+   else
+   {
+      std::cout << "Infinity not tested" << std::endl;
+   }
+#ifndef __BORLANDC__
+   // NaN's:
+   // Note that Borland throws an exception if we even try to obtain a Nan
+   // by calling std::numeric_limits<T>::quiet_NaN() !!!!!!!
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      t = std::numeric_limits<T>::quiet_NaN();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   }
+   else
+   {
+      std::cout << "Quiet NaN's not tested" << std::endl;
+   }
+   if(std::numeric_limits<T>::has_signaling_NaN)
+   {
+      t = std::numeric_limits<T>::signaling_NaN();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   }
+   else
+   {
+      std::cout << "Signaling NaN's not tested" << std::endl;
+   }
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // start by printing some information:
+#ifdef isnan
+   std::cout << "Platform has isnan macro." << std::endl;
+#endif
+#ifdef fpclassify
+   std::cout << "Platform has fpclassify macro." << std::endl;
+#endif
+#ifdef BOOST_HAS_FPCLASSIFY
+   std::cout << "Platform has FP_NORMAL macro." << std::endl;
+#endif
+   std::cout << "FP_ZERO: " << (int)FP_ZERO << std::endl;
+   std::cout << "FP_NORMAL: " << (int)FP_NORMAL << std::endl;
+   std::cout << "FP_INFINITE: " << (int)FP_INFINITE << std::endl;
+   std::cout << "FP_NAN: " << (int)FP_NAN << std::endl;
+   std::cout << "FP_SUBNORMAL: " << (int)FP_SUBNORMAL << std::endl;
+
+   // then run the tests:
+   test_classify(float(0), "float");
+   test_classify(double(0), "double");
+   // long double support for fpclassify is considered "core" so we always test it
+   // even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_classify((long double)(0), "long double");
+   test_classify((boost::math::concepts::real_concept)(0), "real_concept");
+
+   // We should test with integer types as well:
+   test_classify(int(0), "int");
+   test_classify(unsigned(0), "unsigned");
+}
+
+/*
+Autorun "i:\Boost-sandbox\math_toolkit\libs\math\test\MSVC80\debug\test_classify.exe"
+Running 1 test case...
+FP_ZERO: 0
+FP_NORMAL: 1
+FP_INFINITE: 2
+FP_NAN: 3
+FP_SUBNORMAL: 4
+Testing type float
+Testing type double
+Testing type long double
+Testing type real_concept
+Denormalised forms not tested
+Infinity not tested
+Quiet NaN's not tested
+Signaling NaN's not tested
+Test suite "Test Program" passed with:
+  79 assertions out of 79 passed
+  1 test case out of 1 passed
+  Test case "test_main_caller( argc, argv )" passed with:
+    79 assertions out of 79 passed
+
+*/
diff --git a/src/boost/libs/math/test/test_constant_generate.cpp b/src/boost/libs/math/test/test_constant_generate.cpp
new file mode 100644
index 00000000..53f1c6a7
--- /dev/null
+++ b/src/boost/libs/math/test/test_constant_generate.cpp
@@ -0,0 +1,192 @@
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4100) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) //To disable this warning, use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+// To add new constants, add a function that calculates the value of the constant to
+// boost/math/constants/calculate_constants.hpp
+// See http://www.boost.org/doc/libs/release/libs/math/doc/html/math_toolkit/new_const.html
+
+#include <boost/math/constants/generate.hpp> // Requires /modular-boost/libs/math/include_private in search path.
+#include <boost/math/constants/calculate_constants.hpp>
+
+int main()
+{
+  // Rational fractions.
+   BOOST_CONSTANTS_GENERATE(half);
+   BOOST_CONSTANTS_GENERATE(third);
+   BOOST_CONSTANTS_GENERATE(twothirds);
+   BOOST_CONSTANTS_GENERATE(two_thirds);
+   BOOST_CONSTANTS_GENERATE(three_quarters);
+   BOOST_CONSTANTS_GENERATE(sixth);
+   // two and related.
+   BOOST_CONSTANTS_GENERATE(root_two);
+   BOOST_CONSTANTS_GENERATE(root_three);
+   BOOST_CONSTANTS_GENERATE(half_root_two);
+   BOOST_CONSTANTS_GENERATE(ln_two);
+   BOOST_CONSTANTS_GENERATE(ln_ten);
+   BOOST_CONSTANTS_GENERATE(ln_ln_two);
+   BOOST_CONSTANTS_GENERATE(root_ln_four);
+   BOOST_CONSTANTS_GENERATE(one_div_root_two);
+   // pi and related.
+   BOOST_CONSTANTS_GENERATE(pi);
+   BOOST_CONSTANTS_GENERATE(half_pi);
+   BOOST_CONSTANTS_GENERATE(third_pi);
+   BOOST_CONSTANTS_GENERATE(sixth_pi);
+   BOOST_CONSTANTS_GENERATE(two_pi);
+   BOOST_CONSTANTS_GENERATE(two_thirds_pi);
+   BOOST_CONSTANTS_GENERATE(three_quarters_pi);
+   BOOST_CONSTANTS_GENERATE(four_thirds_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_two_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_root_two_pi);
+   BOOST_CONSTANTS_GENERATE(root_pi);
+   BOOST_CONSTANTS_GENERATE(root_half_pi);
+   BOOST_CONSTANTS_GENERATE(root_two_pi);
+   BOOST_CONSTANTS_GENERATE(log_root_two_pi);
+   BOOST_CONSTANTS_GENERATE(two_div_pi);
+   BOOST_CONSTANTS_GENERATE(root_two_div_pi);
+
+   BOOST_CONSTANTS_GENERATE(one_div_root_pi);
+   BOOST_CONSTANTS_GENERATE(root_one_div_pi);
+   BOOST_CONSTANTS_GENERATE(pi_minus_three);
+   BOOST_CONSTANTS_GENERATE(four_minus_pi);
+   //BOOST_CONSTANTS_GENERATE(pow23_four_minus_pi);
+
+   BOOST_CONSTANTS_GENERATE(pi_pow_e);
+   BOOST_CONSTANTS_GENERATE(pi_sqr);
+   BOOST_CONSTANTS_GENERATE(pi_sqr_div_six);
+   BOOST_CONSTANTS_GENERATE(pi_cubed);
+   BOOST_CONSTANTS_GENERATE(cbrt_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_cbrt_pi);
+
+   // Euler's e and related.
+   BOOST_CONSTANTS_GENERATE(e);
+   BOOST_CONSTANTS_GENERATE(exp_minus_half);
+   BOOST_CONSTANTS_GENERATE(exp_minus_one);
+
+   BOOST_CONSTANTS_GENERATE(e_pow_pi);
+   BOOST_CONSTANTS_GENERATE(root_e);
+   BOOST_CONSTANTS_GENERATE(log10_e);
+   BOOST_CONSTANTS_GENERATE(one_div_log10_e);
+
+   // Trigonometric
+   BOOST_CONSTANTS_GENERATE(degree);
+   BOOST_CONSTANTS_GENERATE(radian);
+   BOOST_CONSTANTS_GENERATE(sin_one);
+   BOOST_CONSTANTS_GENERATE(cos_one);
+   BOOST_CONSTANTS_GENERATE(sinh_one);
+   BOOST_CONSTANTS_GENERATE(cosh_one);
+
+   // Phi
+   BOOST_CONSTANTS_GENERATE(phi);
+   BOOST_CONSTANTS_GENERATE(ln_phi);
+   BOOST_CONSTANTS_GENERATE(one_div_ln_phi);
+   
+// Euler's Gamma constant http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
+   // gamma name deprecated - see euler above
+
+      BOOST_CONSTANTS_GENERATE(euler);
+      BOOST_CONSTANTS_GENERATE(one_div_euler);
+      BOOST_CONSTANTS_GENERATE(euler_sqr);
+ //  BOOST_CONSTANTS_GENERATE(gamma);
+ //  BOOST_CONSTANTS_GENERATE(one_div_gamma);
+ //  BOOST_CONSTANTS_GENERATE(gamma_sqr);
+
+// zeta
+   BOOST_CONSTANTS_GENERATE(zeta_two);
+   BOOST_CONSTANTS_GENERATE(zeta_three);
+   BOOST_CONSTANTS_GENERATE(catalan);
+   BOOST_CONSTANTS_GENERATE(glaisher);
+   BOOST_CONSTANTS_GENERATE(khinchin);
+   BOOST_CONSTANTS_GENERATE(extreme_value_skewness);
+   BOOST_CONSTANTS_GENERATE(rayleigh_skewness);
+   BOOST_CONSTANTS_GENERATE(rayleigh_kurtosis);
+   BOOST_CONSTANTS_GENERATE(rayleigh_kurtosis_excess);
+   
+   return 0;
+}
+
+/*
+
+Output
+------ Build started: Project: test_constant_generate, Configuration: Release Win32 ------
+  test_constant_generate.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_constant_generate.exe
+  BOOST_DEFINE_MATH_CONSTANT(half, 0.5e0, "0.5e0");
+  BOOST_DEFINE_MATH_CONSTANT(third, 0.333333333333333333333333333333333333e0, "0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333e0");
+  BOOST_DEFINE_MATH_CONSTANT(twothirds, 0.666666666666666666666666666666666666e0, "0.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_thirds, 0.666666666666666666666666666666666666e0, "0.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667e0");
+  BOOST_DEFINE_MATH_CONSTANT(three_quarters, 0.75e0, "0.75e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two, 1.414213562373095048801688724209698078e0, "1.41421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157274e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_three, 1.732050807568877293527446341505872366e0, "1.73205080756887729352744634150587236694280525381038062805580697945193301690880003708114618675724857568e0");
+  BOOST_DEFINE_MATH_CONSTANT(half_root_two, 0.707106781186547524400844362104849039e0, "0.707106781186547524400844362104849039284835937688474036588339868995366239231053519425193767163820786368e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_two, 0.693147180559945309417232121458176568e0, "0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687542e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_ln_two, -0.366512920581664327012439158232669469e0, "-0.366512920581664327012439158232669469454263447837105263053677713670561615319352738549455822856698908358e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_ln_four, 1.177410022515474691011569326459699637e0, "1.17741002251547469101156932645969963774738568938582053852252575650002658854698492680841813836877081107e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_two, 0.707106781186547524400844362104849039e0, "0.707106781186547524400844362104849039284835937688474036588339868995366239231053519425193767163820786368e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi, 3.141592653589793238462643383279502884e0, "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798e0");
+  BOOST_DEFINE_MATH_CONSTANT(half_pi, 1.570796326794896619231321691639751442e0, "1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399e0");
+  BOOST_DEFINE_MATH_CONSTANT(third_pi, 1.047197551196597746154214461093167628e0, "1.04719755119659774615421446109316762806572313312503527365831486410260546876206966620934494178070568933e0");
+  BOOST_DEFINE_MATH_CONSTANT(sixth_pi, 0.523598775598298873077107230546583814e0, "0.523598775598298873077107230546583814032861566562517636829157432051302734381034833104672470890352844664e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_pi, 6.283185307179586476925286766559005768e0, "6.28318530717958647692528676655900576839433879875021164194988918461563281257241799725606965068423413596e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_thirds_pi, 2.094395102393195492308428922186335256e0, "2.09439510239319549230842892218633525613144626625007054731662972820521093752413933241868988356141137865e0");
+  BOOST_DEFINE_MATH_CONSTANT(three_quarters_pi, 2.356194490192344928846982537459627163e0, "2.35619449019234492884698253745962716314787704953132936573120844423086230471465674897102611900658780099e0");
+  BOOST_DEFINE_MATH_CONSTANT(four_thirds_pi, 4.188790204786390984616857844372670512e0, "4.18879020478639098461685784437267051226289253250014109463325945641042187504827866483737976712282275731e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_two_pi, 0.159154943091895335768883763372514362e0, "0.159154943091895335768883763372514362034459645740456448747667344058896797634226535090113802766253085956e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_two_pi, 0.398942280401432677939946059934381868e0, "0.39894228040143267793994605993438186847585863116493465766592582967065792589930183850125233390730693643e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_pi, 1.772453850905516027298167483341145182e0, "1.77245385090551602729816748334114518279754945612238712821380778985291128459103218137495065673854466542e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_half_pi, 1.253314137315500251207882642405522626e0, "1.25331413731550025120788264240552262650349337030496915831496178817114682730392098747329791918902863306e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two_pi, 2.506628274631000502415765284811045253e0, "2.50662827463100050241576528481104525300698674060993831662992357634229365460784197494659583837805726612e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_div_pi, 0.636619772367581343075535053490057448e0, "0.636619772367581343075535053490057448137838582961825794990669376235587190536906140360455211065012343824e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two_div_pi, 0.797884560802865355879892119868763736e0, "0.797884560802865355879892119868763736951717262329869315331851659341315851798603677002504667814613872861e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_pi, 0.564189583547756286948079451560772585e0, "0.564189583547756286948079451560772585844050629328998856844085721710642468441493414486743660202107363443e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_one_div_pi, 0.564189583547756286948079451560772585e0, "0.564189583547756286948079451560772585844050629328998856844085721710642468441493414486743660202107363443e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_minus_three, 0.141592653589793238462643383279502884e0, "0.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982e0");
+  BOOST_DEFINE_MATH_CONSTANT(four_minus_pi, 0.858407346410206761537356616720497115e0, "0.858407346410206761537356616720497115802830600624894179025055407692183593713791001371965174657882932018e0");
+  BOOST_DEFINE_MATH_CONSTANT(pow23_four_minus_pi, 0.795316767371597544348395335056806580e0, "0.795316767371597544348395335056806580727639173327713205445302234388856268267518187590758006888600828437e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_pow_e, 22.459157718361045473427152204543735027e0, "22.4591577183610454734271522045437350275893151339966922492030025540669260403991179123185197527271430315e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_sqr, 9.869604401089358618834490999876151135e0, "9.86960440108935861883449099987615113531369940724079062641334937622004482241920524300177340371855223182e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_sqr_div_six, 1.644934066848226436472415166646025189e0, "1.6449340668482264364724151666460251892189499012067984377355582293700074704032008738336289006197587053e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_cubed, 31.006276680299820175476315067101395202e0, "31.006276680299820175476315067101395202225288565885107694144538103806394917465706037566701032602886193e0");
+  BOOST_DEFINE_MATH_CONSTANT(cbrt_pi, 1.464591887561523263020142527263790391e0, "1.4645918875615232630201425272637903917385968556279371743572559371383936497982862661456820678203538209e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_cbrt_pi, 0.682784063255295681467020833158164598e0, "0.682784063255295681467020833158164598108367515632448804042681583118899226433403918237673501922595519866e0");
+  BOOST_DEFINE_MATH_CONSTANT(e, 2.718281828459045235360287471352662497e0, "2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743e0");
+  BOOST_DEFINE_MATH_CONSTANT(exp_minus_half, 0.606530659712633423603799534991180453e0, "0.606530659712633423603799534991180453441918135487186955682892158735056519413748423998647611507989456026e0");
+  BOOST_DEFINE_MATH_CONSTANT(e_pow_pi, 23.140692632779269005729086367948547380e0, "23.1406926327792690057290863679485473802661062426002119934450464095243423506904527835169719970675492197e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_e, 1.648721270700128146848650787814163571e0, "1.648721270700128146848650787814163571653776100710148011575079311640661021194215608632776520056366643e0");
+  BOOST_DEFINE_MATH_CONSTANT(log10_e, 0.434294481903251827651128918916605082e0, "0.434294481903251827651128918916605082294397005803666566114453783165864649208870774729224949338431748319e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_log10_e, 2.302585092994045684017991454684364207e0, "2.30258509299404568401799145468436420760110148862877297603332790096757260967735248023599720508959829834e0");
+  BOOST_DEFINE_MATH_CONSTANT(degree, 0.017453292519943295769236907684886127e0, "0.0174532925199432957692369076848861271344287188854172545609719144017100911460344944368224156963450948221e0");
+  BOOST_DEFINE_MATH_CONSTANT(radian, 57.295779513082320876798154814105170332e0, "57.2957795130823208767981548141051703324054724665643215491602438612028471483215526324409689958511109442e0");
+  BOOST_DEFINE_MATH_CONSTANT(sin_one, 0.841470984807896506652502321630298999e0, "0.841470984807896506652502321630298999622563060798371065672751709991910404391239668948639743543052695854e0");
+  BOOST_DEFINE_MATH_CONSTANT(cos_one, 0.540302305868139717400936607442976603e0, "0.540302305868139717400936607442976603732310420617922227670097255381100394774471764517951856087183089344e0");
+  BOOST_DEFINE_MATH_CONSTANT(sinh_one, 1.175201193643801456882381850595600815e0, "1.17520119364380145688238185059560081515571798133409587022956541301330756730432389560711745208962339184e0");
+  BOOST_DEFINE_MATH_CONSTANT(cosh_one, 1.543080634815243778477905620757061682e0, "1.54308063481524377847790562075706168260152911236586370473740221471076906304922369896426472643554303559e0");
+  BOOST_DEFINE_MATH_CONSTANT(phi, 1.618033988749894848204586834365638117e0, "1.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_phi, 0.481211825059603447497758913424368423e0, "0.481211825059603447497758913424368423135184334385660519661018168840163867608221774412009429122723474997e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_ln_phi, 2.078086921235027537601322606117795767e0, "2.07808692123502753760132260611779576774219226778328348027813992191974386928553540901445615414453604822e0");
+  BOOST_DEFINE_MATH_CONSTANT(euler, 0.577215664901532860606512090082402431e0, "0.577215664901532860606512090082402431042159335939923598805767234884867726777664670936947063291746749515e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_euler, 1.732454714600633473583025315860829681e0, "1.73245471460063347358302531586082968115577655226680502204843613287065531408655243008832840219409928068e0");
+  BOOST_DEFINE_MATH_CONSTANT(euler_sqr, 0.333177923807718674318376136355244226e0, "0.333177923807718674318376136355244226659417140249629743150833338002265793695756669661263268631715977303e0");
+  BOOST_DEFINE_MATH_CONSTANT(zeta_two, 1.644934066848226436472415166646025189e0, "1.6449340668482264364724151666460251892189499012067984377355582293700074704032008738336289006197587053e0");
+  BOOST_DEFINE_MATH_CONSTANT(zeta_three, 1.202056903159594285399738161511449990e0, "1.20205690315959428539973816151144999076498629234049888179227155534183820578631309018645587360933525815e0");
+  BOOST_DEFINE_MATH_CONSTANT(catalan, 0.915965594177219015054603514932384110e0, "0.915965594177219015054603514932384110774149374281672134266498119621763019776254769479356512926115106249e0");
+  BOOST_DEFINE_MATH_CONSTANT(glaisher, 1.282427129100622636875342568869791727e0, "1.28242712910062263687534256886979172776768892732500119206374002174040630885882646112973649195820237439e0");
+  BOOST_DEFINE_MATH_CONSTANT(khinchin, 2.685452001065306445309714835481795693e0, "2.685452001065306445309714835481795693820382293994462953051152345557218859537152002801141174931847698e0");
+  BOOST_DEFINE_MATH_CONSTANT(extreme_value_skewness, 1.139547099404648657492793019389846112e0, "1.13954709940464865749279301938984611208759979583655182472165571008524800770607068570718754688693851502e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_skewness, 0.631110657818937138191899351544227779e0, "0.631110657818937138191899351544227779844042203134719497658094585692926819617473725459905027032537306794e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_kurtosis, 3.245089300687638062848660410619754415e0, "3.24508930068763806284866041061975441541706673178920936177133764493367904540874159051490619368679348977e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_kurtosis_excess, 0.245089300687638062848660410619754415e0, "0.245089300687638062848660410619754415417066731789209361771337644933679045408741590514906193686793489774e0");
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_constants.cpp b/src/boost/libs/math/test/test_constants.cpp
new file mode 100644
index 00000000..d52b71ab
--- /dev/null
+++ b/src/boost/libs/math/test/test_constants.cpp
@@ -0,0 +1,854 @@
+// Copyright Paul Bristow 2007, 2011.
+// Copyright John Maddock 2006, 2011.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_constants.cpp
+
+// Check values of constants are drawn from an independent source, or calculated.
+// Both must be at long double precision for the most precise compilers floating-point implementation.
+// So all values use static_cast<RealType>() of values at least 40 decimal digits
+// and that have suffix L to ensure floating-point type is long double.
+
+// Steve Moshier's command interpreter V1.3 100 digits calculator used for some values.
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/utility/enable_if.hpp>
+
+// Check at compile time that the construction method for constants of type float, is "construct from a float", or "construct from a double", ...
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<float, boost::math::policies::policy<> >::type, boost::mpl::int_<boost::math::constants::construct_from_float> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<double, boost::math::policies::policy<> >::type, boost::mpl::int_<boost::math::constants::construct_from_double> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<long double, boost::math::policies::policy<> >::type, boost::mpl::int_<(sizeof(double) == sizeof(long double) ? boost::math::constants::construct_from_double : boost::math::constants::construct_from_long_double)> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, boost::math::policies::policy<> >::type, boost::mpl::int_<0> >::value));
+
+// Policy to set precision at maximum possible using long double.
+typedef boost::math::policies::policy<boost::math::policies::digits2<std::numeric_limits<long double>::digits> > real_concept_policy_1;
+// Policy with precision +2 (could be any reasonable value),
+// forces the precision of the policy to be greater than
+// that of a long double, and therefore triggers different code (construct from string).
+#ifdef BOOST_MATH_USE_FLOAT128
+typedef boost::math::policies::policy<boost::math::policies::digits2<115> > real_concept_policy_2;
+#else
+typedef boost::math::policies::policy<boost::math::policies::digits2<std::numeric_limits<long double>::digits + 2> > real_concept_policy_2;
+#endif
+// Policy with precision greater than the string representations, forces computation of values (i.e. different code path):
+typedef boost::math::policies::policy<boost::math::policies::digits2<400> > real_concept_policy_3;
+
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_1 >::type, boost::mpl::int_<(sizeof(double) == sizeof(long double) ? boost::math::constants::construct_from_double : boost::math::constants::construct_from_long_double) > >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_2 >::type, boost::mpl::int_<boost::math::constants::construct_from_string> >::value));
+BOOST_STATIC_ASSERT((boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_3>::type::value >= 5));
+
+
+// We need to declare a conceptual type whose precision is unknown at
+// compile time, and is so enormous when checked at runtime,
+// that we're forced to calculate the values of the constants ourselves.
+
+namespace boost{ namespace math{ namespace concepts{
+
+class big_real_concept : public real_concept
+{
+public:
+   big_real_concept() {}
+   template <class T>
+   big_real_concept(const T& t, typename enable_if<is_convertible<T, real_concept> >::type* = 0) : real_concept(t) {}
+};
+
+inline int itrunc(const big_real_concept& val)
+{
+   BOOST_MATH_STD_USING
+   return itrunc(val.value());
+}
+
+}
+namespace tools{
+
+template <>
+inline BOOST_MATH_CONSTEXPR int digits<concepts::big_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) BOOST_NOEXCEPT
+{
+   return 2 * boost::math::constants::max_string_digits;
+}
+
+}}}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks for constants,
+   // where template parameter RealType can be float, double, long double,
+   // or real_concept, a prototype for user-defined floating-point types.
+
+   // Parameter RealType is only used to communicate the RealType,
+  //  and is an arbitrary zero for all tests.
+   //
+   // Actual tolerance is never really smaller than epsilon for long double,
+   // because it's just a wrapper around a long double,
+   // so although it's pretending to be something else (in order to exercise our code),
+   // it can never really have precision greater than a long double.
+
+  typedef typename boost::math::constants::construction_traits<RealType, boost::math::policies::policy<> >::type construction_type;
+   RealType tolerance = (std::max)(static_cast<RealType>(boost::math::tools::epsilon<long double>()), boost::math::tools::epsilon<RealType>()) * 2;  // double
+   if((construction_type::value == 0) && (boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits))
+      tolerance *= 30;  // Allow a little extra tolerance
+   // for calculated (perhaps using a series representation) constants.
+   std::cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << std::endl;
+
+   //typedef typename boost::math::policies::precision<RealType, boost::math::policies::policy<> >::type t1;
+   // A precision of zero means we don't know what the precision of this type is until runtime.
+   //std::cout << "Precision for type " << typeid(RealType).name()  << " is " << t1::value << "." << std::endl;
+
+   using namespace boost::math::constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), root_half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.5L, half<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, euler<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.0L), ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(10.0L), ln_ten<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, pi_minus_three<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), cbrt_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), e_pow_pi<RealType>(), tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), pi_pow_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), cbrt_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), exp_minus_half<RealType>(), tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, third<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, two_thirds<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.75L, three_quarters<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.1666666666666666666666666666666666666667L, sixth<RealType>(), tolerance);
+
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), root_three<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, half_root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.L), ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), one_div_root_two<RealType>(), tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, quarter_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, third_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, quarter_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, sixth_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, three_quarters_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, four_thirds_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (3.14159265358979323846264338327950288419716939937510L), one_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / (3.14159265358979323846264338327950288419716939937510L), two_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), one_div_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), root_half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), one_div_root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / sqrt(3.14159265358979323846264338327950288419716939937510L), two_div_root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), one_div_root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), root_one_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, pi_minus_three<RealType>(), tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, pi_sqr<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6, pi_sqr_div_six<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, pi_cubed<RealType>(), tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, cbrt_pi<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi<RealType>() * cbrt_pi<RealType>() * cbrt_pi<RealType>(), pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1)/cbrt_pi<RealType>(), one_div_cbrt_pi<RealType>(), tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+   //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(exp(-1.L), exp_minus_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(e<RealType>(), pi<RealType>()), e_pow_pi<RealType>(), tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e<RealType>()), root_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e<RealType>()), log10_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/log10(e<RealType>()), one_div_log10_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1/ln_two<RealType>()), log2_e<RealType>(), tolerance);
+
+   // Trigonmetric
+   BOOST_CHECK_CLOSE_FRACTION(pi<RealType>()/180, degree<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi<RealType>(), radian<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), sin_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), cos_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), sinh_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), cosh_one<RealType>(), tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, phi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), ln_phi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), one_div_ln_phi<RealType>(), tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, euler<RealType>(), tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, one_div_euler<RealType>(), tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, euler_sqr<RealType>(), tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, zeta_two<RealType>(), tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, zeta_three<RealType>(), tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan<RealType>(), tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness<RealType>(), tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness<RealType>(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess<RealType>(), tolerance * 2);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin<RealType>(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher<RealType>(), tolerance ); // https://oeis.org/A074962/constant
+
+   //
+   // Last of all come the test cases that behave differently if we're calculating the constants on the fly:
+   //
+   if(boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits)
+   {
+      // This suffers from cancellation error, so increased tolerance:
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance * 3);
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance * 3);
+   }
+   else
+   {
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+void test_float_spots()
+{
+   // Basic sanity checks for constants in boost::math::float_constants::
+   // for example: boost::math::float_constants::pi
+   // (rather than boost::math::constants::pi<float>() ).
+
+   float tolerance = boost::math::tools::epsilon<float>() * 2;
+
+   using namespace boost::math::float_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.57721566490153286060651209008240243104259335F), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.0F)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.0F)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.14159265358979323846264338327950288419716939937510F), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.F - 3.14159265358979323846264338327950288419716939937510F), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 0.33333333333333333333333333333333333333333333333333F)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow(2.71828182845904523536028747135266249775724709369995F, 3.14159265358979323846264338327950288419716939937510F)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix F.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.333333333333333333333333333333333333333F), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.666666666666666666666666666666666666667F), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.75F), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.F)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.F)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1/sqrt(2.0F)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 * 3.14159265358979323846264338327950288419716939937510F), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3 * 3.14159265358979323846264338327950288419716939937510F / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4 * 3.14159265358979323846264338327950288419716939937510F / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (3.14159265358979323846264338327950288419716939937510F)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 / (3.14159265358979323846264338327950288419716939937510F)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(3.14159265358979323846264338327950288419716939937510F)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 / sqrt(3.14159265358979323846264338327950288419716939937510F)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510F)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<float>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonmetric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.F), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.F), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.F), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.F), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.F + sqrt(5.F)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.F + sqrt(5.F)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.F / log((1.F + sqrt(5.F)) /2), one_div_ln_phi, tolerance);
+
+   // Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992F, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.F/ 0.57721566490153286060651209008240243104215933593992F, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992F * 0.57721566490153286060651209008240243104215933593992F, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206F, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227F, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213F, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150F, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067F, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01F, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515F, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011F, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+void test_double_spots()
+{
+   // Basic sanity checks for constants in boost::math::double_constants::
+   // for example: boost::math::double_constants::pi
+   // (rather than boost::math::constants::pi<double>() ).
+
+   double tolerance = boost::math::tools::epsilon<double>() * 2;
+
+   using namespace boost::math::double_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.57721566490153286060651209008240243104259335), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.0)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.0)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.14159265358979323846264338327950288419716939937510), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow(2.71828182845904523536028747135266249775724709369995, 3.14159265358979323846264338327950288419716939937510)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix .
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.333333333333333333333333333333333333333), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.666666666666666666666666666666666666667), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.75), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1/sqrt(2.0)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 * 3.14159265358979323846264338327950288419716939937510), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3 * 3.14159265358979323846264338327950288419716939937510 / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4 * 3.14159265358979323846264338327950288419716939937510 / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (3.14159265358979323846264338327950288419716939937510)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 / (3.14159265358979323846264338327950288419716939937510)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 / sqrt(3.14159265358979323846264338327950288419716939937510)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 - 3.), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonmetric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1. + sqrt(5.)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1. + sqrt(5.)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1. / log((1. + sqrt(5.)) /2), one_div_ln_phi, tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1./ 0.57721566490153286060651209008240243104215933593992, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992 * 0.57721566490153286060651209008240243104215933593992, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+void test_long_double_spots()
+{
+   // Basic sanity checks for constants in boost::math::long double_constants::
+   // for example: boost::math::long_double_constants::pi
+   // (rather than boost::math::constants::pi<long double>() ).
+
+  // All constants are tested here using at least long double precision
+  // with independent calculated or listed values,
+  // or calculations using long double (sometime a little less accurate).
+
+   long double tolerance = boost::math::tools::epsilon<long double>() * 2;
+
+   using namespace boost::math::long_double_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.57721566490153286060651209008240243104259335L), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.0L)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.0L)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.333333333333333333333333333333333333333L), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.666666666666666666666666666666666666667L), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.75L), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.L)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.L)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1/sqrt(2.0L)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 * 3.14159265358979323846264338327950288419716939937510L), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3 * 3.14159265358979323846264338327950288419716939937510L / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4 * 3.14159265358979323846264338327950288419716939937510L / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (3.14159265358979323846264338327950288419716939937510L)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 / (3.14159265358979323846264338327950288419716939937510L)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510L)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 / sqrt(3.14159265358979323846264338327950288419716939937510L)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<long double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(6.366197723675813430755350534900574481378385829618257E-1L), two_div_pi, tolerance * 3);  // 2/pi
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(7.97884560802865355879892119868763736951717262329869E-1L), root_two_div_pi, tolerance * 3);  //  sqrt(2/pi)
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonmetric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), one_div_ln_phi, tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+template <class Policy>
+void test_real_concept_policy(const Policy&)
+{
+   // Basic sanity checks for constants using real_concept.
+   // Parameter Policy is used to control precision.
+
+   using boost::math::concepts::real_concept;
+
+   boost::math::concepts::real_concept tolerance = boost::math::tools::epsilon<real_concept>() * 2;  // double
+   if(Policy::precision_type::value > 200)
+      tolerance *= 50;
+   std::cout << "Tolerance for type " << typeid(real_concept).name()  << " is " << tolerance << "." << std::endl;
+
+   //typedef typename boost::math::policies::precision<boost::math::concepts::real_concept, boost::math::policies::policy<> >::type t1;
+   // A precision of zero means we don't know what the precision of this type is until runtime.
+   //std::cout << "Precision for type " << typeid(boost::math::concepts::real_concept).name()  << " is " << t1::value << "." << std::endl;
+
+   using namespace boost::math::constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), (root_half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), (root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.5, (half<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, (euler<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), (root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.0L), (ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, (third<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, (twothirds<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, (pi_minus_three<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), (cbrt_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), (e_pow_pi<real_concept, Policy>)(), tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), (pi_pow_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), (cbrt_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), (exp_minus_half<real_concept, Policy>)(), tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, (third<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, (two_thirds<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.75L, (three_quarters<real_concept, Policy>)(), tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), (root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), (root_three<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, (half_root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.L), (ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), (one_div_root_two<real_concept, Policy>)(), tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, (half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, (quarter_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, (third_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, (sixth_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, (two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, (three_quarters_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, (four_thirds_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (3.14159265358979323846264338327950288419716939937510L), (one_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / (3.14159265358979323846264338327950288419716939937510L), (two_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), (root_half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), (one_div_root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / sqrt(3.14159265358979323846264338327950288419716939937510L), (two_div_root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), (root_one_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, (pi_minus_three<real_concept, Policy>)(), tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (pi_sqr<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6, (pi_sqr_div_six<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (pi_cubed<real_concept, Policy>)(), tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (cbrt_pi<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION((cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)(), (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1)/(cbrt_pi<real_concept, Policy>)(), (one_div_cbrt_pi<real_concept, Policy>)(), tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e<real_concept, Policy>(), (pi<real_concept, Policy>)()), (e_pow_pi<real_concept, Policy>)(), tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e<real_concept, Policy>()), (root_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e<real_concept, Policy>()), (log10_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/log10(e<real_concept, Policy>()), (one_div_log10_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1/ln_two<real_concept, Policy>()), (log2_e<real_concept, Policy>)(), tolerance);
+
+   // Trigonmetric
+   BOOST_CHECK_CLOSE_FRACTION((pi<real_concept, Policy>)()/180, (degree<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / (pi<real_concept, Policy>)(), (radian<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), (sin_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), (cos_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), (sinh_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), (cosh_one<real_concept, Policy>)(), tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, (phi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), (ln_phi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), (one_div_ln_phi<real_concept, Policy>)(), tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, (euler<real_concept, Policy>)(), tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, (one_div_euler<real_concept, Policy>)(), tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, (euler_sqr<real_concept, Policy>)(), tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, (zeta_two<real_concept, Policy>)(), tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, (zeta_three<real_concept, Policy>)(), tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, (catalan<real_concept, Policy>)(), tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, (extreme_value_skewness<real_concept, Policy>)(), tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, (rayleigh_skewness<real_concept, Policy>)(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, (rayleigh_kurtosis_excess<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, (khinchin<real_concept, Policy>)(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, (glaisher<real_concept, Policy>)(), tolerance ); // https://oeis.org/A074962/constant
+
+   //
+   // Last of all come the test cases that behave differently if we're calculating the constants on the fly:
+   //
+   if(boost::math::tools::digits<real_concept>() > boost::math::constants::max_string_digits)
+   {
+      // This suffers from cancellation error, so increased tolerance:
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance * 3);
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance * 3);
+   }
+   else
+   {
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance);
+   }
+
+} // template <class boost::math::concepts::real_concept>void test_spots(boost::math::concepts::real_concept)
+
+#ifdef BOOST_MATH_USE_FLOAT128
+void test_float128()
+{
+   static const __float128 eps = 1.92592994438723585305597794258492732e-34Q;
+
+   __float128 p = boost::math::constants::pi<__float128>();
+   __float128 r = 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651Q;
+   __float128 err = (p - r) / r;
+   if(err < 0)
+      err = -err;
+   BOOST_CHECK(err < 2 * eps);
+}
+#endif
+
+void test_constexpr()
+{
+#ifndef BOOST_NO_CXX11_CONSTEXPR
+   constexpr float f1 = boost::math::constants::pi<float>();
+   constexpr double f2 = boost::math::constants::pi<double>();
+   constexpr long double f3 = boost::math::constants::pi<long double>();
+   constexpr float fval2 = boost::math::float_constants::pi;
+   constexpr double dval2 = boost::math::double_constants::pi;
+   constexpr long double ldval2 = boost::math::long_double_constants::pi;
+   (void)f1;
+   (void)f2;
+   (void)f3;
+   (void) fval2;
+   (void) dval2;
+   (void) ldval2;
+#ifdef BOOST_MATH_USE_FLOAT128
+   constexpr __float128 f4 = boost::math::constants::pi<__float128>();
+   (void)f4;
+#endif
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+
+   test_float_spots(); // Test float_constants, like boost::math::float_constants::pi;
+   test_double_spots(); // Test double_constants.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_long_double_spots(); // Test long_double_constants.
+#ifdef BOOST_MATH_USE_FLOAT128
+   test_float128();
+#endif
+   test_constexpr();
+
+   test_real_concept_policy(real_concept_policy_1());
+   test_real_concept_policy(real_concept_policy_2()); // Increased precision forcing construction from string.
+   test_real_concept_policy(real_concept_policy_3()); // Increased precision forcing caching of computed values.
+   test_real_concept_policy(boost::math::policies::policy<>()); // Default.
+#endif
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+   test_spots(boost::math::concepts::big_real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  1 Feb 2012
+
+test_constants.cpp
+  test_constants.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_constants.exe
+  Running 1 test case...
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type float is 2.38419e-007.
+  Tolerance for type double is 4.44089e-016.
+  Tolerance for type long double is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::big_real_concept is 1.33227e-014.
+
+  *** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_cstdfloat.cpp b/src/boost/libs/math/test/test_cstdfloat.cpp
new file mode 100644
index 00000000..5fcf5a4c
--- /dev/null
+++ b/src/boost/libs/math/test/test_cstdfloat.cpp
@@ -0,0 +1,562 @@
+//  Copyright Christopher Kormanyos 2014.
+//  Copyright John Maddock 2014.
+//  Copyright Paul A. Bristow 2014.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <complex>
+#include <limits>
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+#include <string>
+#include <boost/cstdfloat.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#  pragma warning(disable : 4512) // assignment operator could not be generated.
+#  pragma warning(disable : 4996) // use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/scoped_array.hpp>
+
+//
+// We need to define an iostream operator for __float128 in order to
+// compile this test:
+//
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the implementation of floating-point typedefs having
+// specified widths, as implemented in <boost/cstdfloat.hpp> and described
+// in N3626 (proposed for C++14).
+
+// For more information on <boost/cstdfloat.hpp> and the corresponding
+// proposal of "Floating-Point Typedefs Having Specified Widths",
+// see: http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3626.pdf
+
+// The tests:
+//
+// Perform sanity checks on boost::float16_t, boost::float32_t,
+// boost::float64_t, boost::float80_t, and boost::float128_t when
+// these types are available. In the sanity checks, we verify the
+// formal behavior of the types and the macros for creating literal
+// floating-point constants.
+//
+// An extended check is included for boost::float128_t. This checks
+// the functionality of <cmath>, I/O stream operations, and <complex>
+// functions for boost::float128_t.
+
+// For some reason the (x != x) check fails on Mingw:
+#if !defined(__MINGW64__)
+#define TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)                                                  \
+  {                                                                                                  \
+    using std::sqrt;                                                                                 \
+    const float_type x = sqrt(float_type(test_cstdfloat::minus_one));                                \
+    const bool the_nan_test = (   std::numeric_limits<float_type>::has_quiet_NaN                     \
+                               && (x != x));                                                         \
+    BOOST_CHECK_EQUAL( the_nan_test, true );                                                         \
+  }  
+#else
+#define TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)                                                  
+#endif
+
+#define TEST_CSTDFLOAT_SANITY_CHECK(the_digits)                                                      \
+void sanity_check_##the_digits##_func()                                                              \
+{                                                                                                    \
+  typedef boost::float##the_digits##_t float_type;                                                   \
+                                                                                                     \
+  BOOST_CONSTEXPR_OR_CONST int my_digits10 = std::numeric_limits<float_type>::digits10;              \
+                                                                                                     \
+  {                                                                                                  \
+    BOOST_CONSTEXPR_OR_CONST float_type x =                                                          \
+      BOOST_FLOAT##the_digits##_C(0.33333333333333333333333333333333333333333);                      \
+    std::stringstream ss;                                                                            \
+    ss << std::setprecision(my_digits10 - 1)                                                         \
+       << x;                                                                                         \
+    std::string str = "0.";                                                                          \
+    str += std::string(std::string::size_type(my_digits10 - 1), char('3'));                          \
+    BOOST_CHECK_EQUAL( ss.str(), str );                                                              \
+  }                                                                                                  \
+  {                                                                                                  \
+    BOOST_CONSTEXPR_OR_CONST float_type x =                                                          \
+      BOOST_FLOAT##the_digits##_C(0.66666666666666666666666666666666666666666);                      \
+    std::stringstream ss;                                                                            \
+    ss << std::setprecision(my_digits10 - 1)                                                         \
+       << x;                                                                                         \
+    std::string str = "0.";                                                                          \
+    str += std::string(std::string::size_type(my_digits10 - 2), char('6'));                          \
+    str += "7";                                                                                      \
+    BOOST_CHECK_EQUAL( ss.str(), str );                                                              \
+  }                                                                                                  \
+  {                                                                                                  \
+    const float_type x = BOOST_FLOAT##the_digits##_C(1.0) / test_cstdfloat::zero;                    \
+    const bool the_inf_test = (   std::numeric_limits<float_type>::has_infinity                      \
+                               && (x == std::numeric_limits<float_type>::infinity()));               \
+    BOOST_CHECK_EQUAL( the_inf_test, true );                                                         \
+  }                                                                                                  \
+  TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)\
+  {                                                                                                  \
+    const bool the_lim_test =                                                                        \
+      (std::numeric_limits<boost::floatmax_t>::digits >= std::numeric_limits<float_type>::digits);   \
+    BOOST_CHECK_EQUAL( the_lim_test, true );                                                         \
+  }                                                                                                  \
+}
+
+namespace test_cstdfloat
+{
+#if defined(BOOST_FLOAT128_C)
+
+   template <class T, class U>
+   void test_less(T a, U b)
+   {
+      BOOST_CHECK(a < b);
+      BOOST_CHECK(a <= b);
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK(!(a >= b));
+      BOOST_CHECK(!(a == b));
+      BOOST_CHECK((a != b));
+
+      BOOST_CHECK(b > a);
+      BOOST_CHECK(b >= a);
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK(!(b <= a));
+      BOOST_CHECK(!(b == a));
+      BOOST_CHECK((b != a));
+
+      BOOST_CHECK(std::isless(a, b));
+      BOOST_CHECK(std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(!std::isgreaterequal(a, b));
+      BOOST_CHECK(std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(!std::islessequal(b, a));
+      BOOST_CHECK(std::isgreater(b, a));
+      BOOST_CHECK(std::isgreaterequal(b, a));
+      BOOST_CHECK(std::islessgreater(b, a));
+   }
+   template <class T, class U>
+   void test_equal(T a, U b)
+   {
+      BOOST_CHECK(!(a < b));
+      BOOST_CHECK(a <= b);
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK((a >= b));
+      BOOST_CHECK((a == b));
+      BOOST_CHECK(!(a != b));
+
+      BOOST_CHECK(!(b > a));
+      BOOST_CHECK(b >= a);
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK((b <= a));
+      BOOST_CHECK((b == a));
+      BOOST_CHECK(!(b != a));
+
+      BOOST_CHECK(!std::isless(a, b));
+      BOOST_CHECK(std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(std::isgreaterequal(a, b));
+      BOOST_CHECK(!std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(std::islessequal(b, a));
+      BOOST_CHECK(!std::isgreater(b, a));
+      BOOST_CHECK(std::isgreaterequal(b, a));
+      BOOST_CHECK(!std::islessgreater(b, a));
+   }
+   template <class T, class U>
+   void test_unordered(T a, U b)
+   {
+      BOOST_CHECK(!(a < b));
+      BOOST_CHECK(!(a <= b));
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK(!(a >= b));
+      BOOST_CHECK(!(a == b));
+      BOOST_CHECK((a != b));
+
+      BOOST_CHECK(!(b > a));
+      BOOST_CHECK(!(b >= a));
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK(!(b <= a));
+      BOOST_CHECK(!(b == a));
+      BOOST_CHECK((b != a));
+
+      BOOST_CHECK(!std::isless(a, b));
+      BOOST_CHECK(!std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(!std::isgreaterequal(a, b));
+      BOOST_CHECK(!std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(!std::islessequal(b, a));
+      BOOST_CHECK(!std::isgreater(b, a));
+      BOOST_CHECK(!std::isgreaterequal(b, a));
+      BOOST_CHECK(!std::islessgreater(b, a));
+   }
+
+   template <class T>
+   void test()
+   {
+      //
+      // Basic sanity checks for C99 functions which are just imported versions
+      // from Boost.Math.  These should still be found via ADL so no using declarations here...
+      //
+      T val = 2;
+      BOOST_CHECK(std::signbit(val) == 0);
+      BOOST_CHECK(std::signbit(val + 2) == 0);
+      val = -val;
+      BOOST_CHECK(std::signbit(val));
+      BOOST_CHECK(std::signbit(val * 2));
+
+      T s = 2;
+      val = 3;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), 3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), -3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), 6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), 6);
+      s = -2;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), -3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), 3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), -6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), -6);
+      val = -3;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), -3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), 3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), -6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), -6);
+      s = 0;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), 3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), -3);
+
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), 6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), 6);
+      // Things involving signed zero, need to detect it first:
+
+      val = 3;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NORMAL);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NORMAL);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(std::isnormal(val));
+      BOOST_CHECK(std::isnormal(val + 2));
+      val = -3;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NORMAL);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NORMAL);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(std::isnormal(val));
+      BOOST_CHECK(std::isnormal(val + 2));
+      val = 0;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_ZERO);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_ZERO);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(!std::isnormal(val));
+      BOOST_CHECK(!std::isnormal(val * 2));
+      BOOST_CHECK(!std::isnormal(val * -2));
+      if (std::numeric_limits<T>::has_infinity)
+      {
+         val = std::numeric_limits<T>::infinity();
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_INFINITE);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_INFINITE);
+         BOOST_CHECK(std::isinf(val));
+         BOOST_CHECK(std::isinf(val + 2));
+         BOOST_CHECK(!std::isnan(val));
+         BOOST_CHECK(!std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+         val = -val;
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_INFINITE);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_INFINITE);
+         BOOST_CHECK(std::isinf(val));
+         BOOST_CHECK(std::isinf(val + 2));
+         BOOST_CHECK(!std::isnan(val));
+         BOOST_CHECK(!std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+      }
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         val = std::numeric_limits <T>::quiet_NaN();
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NAN);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NAN);
+         BOOST_CHECK(!std::isinf(val));
+         BOOST_CHECK(!std::isinf(val + 2));
+         BOOST_CHECK(std::isnan(val));
+         BOOST_CHECK(std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+      }
+      s = 8 * std::numeric_limits<T>::epsilon();
+      val = 2.5;
+      BOOST_CHECK_CLOSE_FRACTION(std::asinh(val), T(1.6472311463710957106248586104436196635044144301932365282203100930843983757633104078778420255069424907777006132075516484778755360595913172299093829522950397895699619540523579875476513967578478619028438291006578604823887119907434Q), s);
+      BOOST_CHECK_CLOSE_FRACTION(std::acosh(val), T(1.5667992369724110786640568625804834938620823510926588639329459980122148134693922696279968499622201141051039184050936311066453565386393240356562374302417843319480223211857615778787272615171906055455922537080327062362258846337050Q), s);
+      val = 0.5;
+      BOOST_CHECK_CLOSE_FRACTION(std::atanh(val), T(0.5493061443340548456976226184612628523237452789113747258673471668187471466093044834368078774068660443939850145329789328711840021129652599105264009353836387053015813845916906835896868494221804799518712851583979557605727959588753Q), s);
+      val = 55.25;
+      BOOST_CHECK_CLOSE_FRACTION(std::cbrt(val), T(3.8087058015466360309383876359583281382991983919300128125378938779672144843676192684301168479657279498120767424724024965319869248797423276064015643361426189576415670917818313417529572608229017809069355688606687557031643655896118Q), s);
+      val = 2.75;
+      BOOST_CHECK_CLOSE_FRACTION(std::erf(val), T(0.9998993780778803631630956080249130432349352621422640655161095794654526422025908961447328296681056892975214344779300734620255391682713519265048496199034963706976420982849598189071465666866369396765001072187538732800143945532487Q), s);
+      BOOST_CHECK_CLOSE_FRACTION(std::erfc(val), T(0.0001006219221196368369043919750869567650647378577359344838904205345473577974091038552671703318943107024785655220699265379744608317286480734951503800965036293023579017150401810928534333133630603234998927812461267199856054467512Q), s);
+      val = 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(std::expm1(val), T(0.1331484530668263168290072278117938725655031317451816259128200360788235778800483865139399907949417285732315270156473075657048210452584733998785564025916995261162759280700397984729320345630340659469435372721057879969170503978449Q), s);
+
+      val = 20;
+      s = 2;
+      BOOST_CHECK_EQUAL(std::fdim(val, s), 18);
+      BOOST_CHECK_EQUAL(std::fdim(s, val), 0);
+      BOOST_CHECK_EQUAL(std::fdim(val, s * 2), 16);
+      BOOST_CHECK_EQUAL(std::fdim(s * 2, val), 0);
+      BOOST_CHECK_EQUAL(std::fdim(val, 2), 18);
+      BOOST_CHECK_EQUAL(std::fdim(2, val), 0);
+
+      BOOST_CHECK_EQUAL(std::fmax(val, s), val);
+      BOOST_CHECK_EQUAL(std::fmax(s, val), val);
+      BOOST_CHECK_EQUAL(std::fmax(val * 2, s), val * 2);
+      BOOST_CHECK_EQUAL(std::fmax(val, s * 2), val);
+      BOOST_CHECK_EQUAL(std::fmax(val * 2, s * 2), val * 2);
+      BOOST_CHECK_EQUAL(std::fmin(val, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(s, val), s);
+      BOOST_CHECK_EQUAL(std::fmin(val * 2, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(val, s * 2), s * 2);
+      BOOST_CHECK_EQUAL(std::fmin(val * 2, s * 2), s * 2);
+
+      BOOST_CHECK_EQUAL(std::fmax(val, 2), val);
+      BOOST_CHECK_EQUAL(std::fmax(val, 2.0), val);
+      BOOST_CHECK_EQUAL(std::fmax(20, s), val);
+      BOOST_CHECK_EQUAL(std::fmax(20.0, s), val);
+      BOOST_CHECK_EQUAL(std::fmin(val, 2), s);
+      BOOST_CHECK_EQUAL(std::fmin(val, 2.0), s);
+      BOOST_CHECK_EQUAL(std::fmin(20, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(20.0, s), s);
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         BOOST_CHECK_EQUAL(std::fmax(val, std::numeric_limits<T>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmax(std::numeric_limits<T>::quiet_NaN(), val), val);
+         BOOST_CHECK_EQUAL(std::fmin(val, std::numeric_limits<T>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmin(std::numeric_limits<T>::quiet_NaN(), val), val);
+      }
+      if (std::numeric_limits<double>::has_quiet_NaN)
+      {
+         BOOST_CHECK_EQUAL(std::fmax(val, std::numeric_limits<double>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmax(std::numeric_limits<double>::quiet_NaN(), val), val);
+         BOOST_CHECK_EQUAL(std::fmin(val, std::numeric_limits<double>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmin(std::numeric_limits<double>::quiet_NaN(), val), val);
+      }
+
+      test_less(s, val);
+      test_less(2, val);
+      test_less(s, 20);
+      test_less(s + 0, val);
+      test_less(s, val * 1);
+      test_less(s * 1, val * 1);
+      test_less(s * 1, 20);
+      test_less(s + 2, val * 2);
+
+      test_equal(val, val);
+      test_equal(20, val);
+      test_equal(val, 20);
+      test_equal(val + 0, val);
+      test_equal(val, val * 1);
+      test_equal(val * 1, val * 1);
+      test_equal(val * 1, 20);
+      test_equal(val * 20, val * 20);
+
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         s = std::numeric_limits<T>::quiet_NaN();
+         test_unordered(s, val);
+         test_unordered(s, 20);
+         test_unordered(s + 0, val);
+         test_unordered(s, val * 1);
+         test_unordered(s * 1, val * 1);
+         test_unordered(s * 1, 20);
+         test_unordered(s + 2, val * 2);
+         if (std::numeric_limits<double>::has_quiet_NaN)
+         {
+            double n = std::numeric_limits<double>::quiet_NaN();
+            test_unordered(n, val);
+         }
+      }
+
+      T tol = 8 * std::numeric_limits<T>::epsilon();
+      s = 2;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, 2)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, 2.0)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20.0, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, 2)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, 2.0)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20.0, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+
+      BOOST_CHECK_CLOSE_FRACTION(std::lgamma(val), T(39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::lgamma(val + 0), T(39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582Q), tol);
+
+      BOOST_CHECK_EQUAL(std::lrint(val), 20);
+      BOOST_CHECK_EQUAL(std::lrint(val * 2), 40);
+      BOOST_CHECK_EQUAL(std::llrint(val), 20);
+      BOOST_CHECK_EQUAL(std::llrint(val * 2), 40);
+
+      val = 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(std::log1p(val), T(0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::log1p(val + 0), T(0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070Q), tol);
+      val = 20;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::log2(val)), T(4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::log2(val + 0)), T(4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710Q), tol);
+
+      BOOST_CHECK_EQUAL(T(std::nearbyint(val)), 20);
+      BOOST_CHECK_EQUAL(T(std::nearbyint(val + 0.25)), 20);
+      BOOST_CHECK_EQUAL(T(std::rint(val)), 20);
+      BOOST_CHECK_EQUAL(T(std::rint(val + 0.25)), 20);
+
+      BOOST_CHECK_GT(std::nextafter(val, T(200)), val);
+      BOOST_CHECK_GT(std::nextafter(val + 0, T(200)), val);
+      BOOST_CHECK_GT(std::nextafter(val + 0, T(200) + 1), val);
+      BOOST_CHECK_GT(std::nextafter(val, T(200) + 1), val);
+
+      BOOST_CHECK_GT(std::nexttoward(val, T(200)), val);
+      BOOST_CHECK_GT(std::nexttoward(val + 0, T(200)), val);
+      BOOST_CHECK_GT(std::nexttoward(val + 0, T(200) + 1), val);
+      BOOST_CHECK_GT(std::nexttoward(val, T(200) + 1), val);
+
+      val = 21;
+      s = 5;
+      BOOST_CHECK_EQUAL(T(std::remainder(val, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val, 5)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(21, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, s * 1)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val, s * 1)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, 5)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(21, s * 1)), 1);
+      int i(0);
+      BOOST_CHECK_EQUAL(T(std::remquo(val, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val, 5, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(21, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, 5, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(21, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      val = 5.25;
+      tol = 3000;
+      BOOST_CHECK_CLOSE_FRACTION(std::tgamma(val), T(35.211611852799685705225257690531248115026311138908448314086859575901217653313145619623624570033258659272301335544Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::tgamma(val + 1), T(184.86096222719834995243260287528905260388813347926935364895601277348139267989401450302402899267460796117958201160Q), tol);
+
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val)), T(38.054627680087074134959999057935229289375106958842157216608071191022933383261349115865003025220405558913196632792Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val + 1)), T(76.109255360174148269919998115870458578750213917684314433216142382045866766522698231730006050440811117826393265585Q), tol);
+      val = 15;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val)), T(32768uL), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val + 1)), T(65536uL), tol);
+
+      i = std::fpclassify(val) + std::isgreaterequal(val, s) + std::islessequal(val, s) + std::isnan(val) + std::isunordered(val, s)
+         + std::isfinite(val) + std::isinf(val) + std::islessgreater(val, s) + std::isnormal(val) + std::signbit(val) + std::isgreater(val, s) + std::isless(val, s);
+   }
+
+#endif
+
+   int zero;
+   int minus_one;
+
+#if defined(BOOST_FLOATMAX_C)
+   BOOST_CONSTEXPR_OR_CONST int has_floatmax_t = 1;
+#else
+   BOOST_CONSTEXPR_OR_CONST int has_floatmax_t = 0;
+#endif
+
+#if defined(BOOST_FLOAT16_C)
+   TEST_CSTDFLOAT_SANITY_CHECK(16)
+#endif
+
+#if defined(BOOST_FLOAT32_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(32)
+#endif
+
+#if defined(BOOST_FLOAT64_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(64)
+#endif
+
+#if defined(BOOST_FLOAT80_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(80)
+#endif
+
+#if defined(BOOST_FLOAT128_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(128)
+
+      void extend_check_128_func()
+   {
+      test<boost::float128_t>();
+   }
+#endif // defined (BOOST_FLOAT128_C)
+}
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   test_cstdfloat::zero = 0;
+   test_cstdfloat::minus_one = -1;
+
+   // Perform basic sanity checks that verify both the existence of the proper
+   // floating-point literal macros as well as the correct digit handling
+   // for a given floating-point typedef having specified width.
+
+   BOOST_CHECK_EQUAL(test_cstdfloat::has_floatmax_t, 1);
+
+#if defined(BOOST_FLOAT16_C)
+   test_cstdfloat::sanity_check_16_func();
+#endif
+
+#if defined(BOOST_FLOAT32_C)
+   test_cstdfloat::sanity_check_32_func();
+#endif
+
+#if defined(BOOST_FLOAT64_C)
+   test_cstdfloat::sanity_check_64_func();
+#endif
+
+#if defined(BOOST_FLOAT80_C)
+   test_cstdfloat::sanity_check_80_func();
+#endif
+
+#if defined(BOOST_FLOAT128_C)
+   test_cstdfloat::sanity_check_128_func();
+
+   // Perform an extended check of boost::float128_t including
+   // a variety of functions from the C++ standard library.
+   test_cstdfloat::extend_check_128_func();
+#endif // defined (BOOST_FLOAT128_C)
+}
diff --git a/src/boost/libs/math/test/test_difference.cpp b/src/boost/libs/math/test/test_difference.cpp
new file mode 100644
index 00000000..b64f2835
--- /dev/null
+++ b/src/boost/libs/math/test/test_difference.cpp
@@ -0,0 +1,161 @@
+//  (C) Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <iostream>
+#include <iomanip>
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   using std::fabs;
+   T next = float_next(val);
+   T prev = float_prior(val);
+
+   if((boost::math::isinf)(next))
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, next), tools::max_value<T>());
+      return;
+   }
+   if((boost::math::isinf)(prev))
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, prev), tools::max_value<T>());
+      return;
+   }
+
+   BOOST_CHECK_EQUAL(relative_difference(val, next), relative_difference(next, val));
+   BOOST_CHECK_EQUAL(epsilon_difference(val, next), epsilon_difference(next, val));
+   BOOST_CHECK_LE(relative_difference(val, next), boost::math::tools::epsilon<T>());
+   BOOST_CHECK_LE(epsilon_difference(val, next), T(1));
+   if((fabs(val) > tools::min_value<T>()) || (fabs(next) > tools::min_value<T>()))
+   {
+      BOOST_CHECK_GT(relative_difference(val, next), T(0));
+      BOOST_CHECK_GT(epsilon_difference(val, next), T(0));
+   }
+   else
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, next), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(val, next), T(0));
+   }
+
+   BOOST_CHECK_EQUAL(relative_difference(val, prev), relative_difference(prev, val));
+   BOOST_CHECK_EQUAL(epsilon_difference(val, prev), epsilon_difference(prev, val));
+   if((fabs(val) > tools::min_value<T>()) || (fabs(prev) > tools::min_value<T>()))
+   {
+      BOOST_CHECK_GT(relative_difference(val, prev), T(0));
+      BOOST_CHECK_GT(epsilon_difference(val, prev), T(0));
+   }
+   else
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, prev), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(val, prev), T(0));
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = static_cast<T>(1.3456724e22);
+   static const T b = static_cast<T>(1.3456724e-22);
+   static const T z = 0;
+   static const T one = 1;
+   static const T two = 2;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(-a, name);
+   test_value(b, name);
+   test_value(-b, name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(-boost::math::tools::epsilon<T>(), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(-boost::math::tools::min_value<T>(), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(-z, name);
+   }
+   test_value(one, name);
+   test_value(-one, name);
+   test_value(two, name);
+   test_value(-two, name);
+
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes) / sizeof(primes[0]); ++i)
+   {
+      for(unsigned j = 0; j < sizeof(primes) / sizeof(primes[0]); ++j)
+      {
+         test_value(T(primes[i]) / T(primes[j]), name);
+         test_value(-T(primes[i]) / T(primes[j]), name);
+      }
+   }
+   using namespace boost::math;
+   BOOST_CHECK_EQUAL(relative_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
+   BOOST_CHECK_EQUAL(epsilon_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+   }
+
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+   test_values(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_digamma.cpp b/src/boost/libs/math/test/test_digamma.cpp
new file mode 100644
index 00000000..67fee819
--- /dev/null
+++ b/src/boost/libs/math/test/test_digamma.cpp
@@ -0,0 +1,133 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_digamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the digamma function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Negative.*",                    // test data group
+      ".*", 300, 40);                // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Near the Positive Root.*",  // test data group
+      ".*", 25000, 3000);            // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Half.*",                    // test data group
+      ".*", 15, 10);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is 3 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 300;
+   //
+   // Special tolerance (200eps) for when we're very near the root,
+   // and T has more than 64-bits in it's mantissa:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.125)), static_cast<T>(-8.3884926632958548678027429230863430000514460424495L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.5)), static_cast<T>(-1.9635100260214234794409763329987555671931596046604L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1)), static_cast<T>(-0.57721566490153286060651209008240243104215933593992L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance * 40);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(2)), static_cast<T>(0.42278433509846713939348790991759756895784066406008L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(8)), static_cast<T>(2.0156414779556099965363450527747404261006978069172L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(12)), static_cast<T>(2.4426616799758120167383652547949424463027180089374L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(22)), static_cast<T>(3.0681430398611966699248760264450329818421699570581L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(50)), static_cast<T>(3.9019896734278921969539597028823666609284424880275L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(500)), static_cast<T>(6.2136077650889917423827750552855712637776544784569L), tolerance);
+   //
+   // negative values:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-0.125)), static_cast<T>(7.1959829284523046176757814502538535827603450463013L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.125)), static_cast<T>(9.9480538258660761287008034071425343357982429855241L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.875)), static_cast<T>(-5.1527360383841562620205965901515879492020193154231L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-1.5)), static_cast<T>(0.70315664064524318722569033366791109947350706200623L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_digamma(0.1F, "float");
+   test_digamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_digamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_digamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_digamma.hpp b/src/boost/libs/math/test/test_digamma.hpp
new file mode 100644
index 00000000..6b35a7ae
--- /dev/null
+++ b/src/boost/libs/math/test/test_digamma.hpp
@@ -0,0 +1,103 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_digamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(DIGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef DIGAMMA_FUNCTION_TO_TEST
+   pg funcp = DIGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::digamma<value_type>;
+#else
+   pg funcp = boost::math::digamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test digamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "digamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_digamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "digamma_data.ipp"
+
+   do_test_digamma<T>(digamma_data, name, "Digamma Function: Large Values");
+
+#  include "digamma_root_data.ipp"
+
+   do_test_digamma<T>(digamma_root_data, name, "Digamma Function: Near the Positive Root");
+
+#  include "digamma_small_data.ipp"
+
+   do_test_digamma<T>(digamma_small_data, name, "Digamma Function: Near Zero");
+
+#  include "digamma_neg_data.ipp"
+
+   do_test_digamma<T>(digamma_neg_data, name, "Digamma Function: Negative Values");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 5> digamma_bugs = {{
+       // Test cases from Rocco Romeo:
+        {{ SC_(7.888609052210118054117285652827862296732064351090230047702789306640625e-31) /*std::ldexp(1.0, -100)*/, SC_(-1.26765060022822940149670320537657721566490153286060651209008e30) }},
+        {{ SC_(-7.888609052210118054117285652827862296732064351090230047702789306640625e-31) /*-std::ldexp(1.0, -100)*/, SC_(1.26765060022822940149670320537542278433509846713939348790992e30) }},
+        {{ SC_(1.0), SC_(-0.577215664901532860606512090082402431042159335939923598805767) }},
+        {{ SC_(-0.99999904632568359375) /*static_cast<T>(-1) + static_cast<T>(std::ldexp(1.0, -20))*/, SC_(-1.04857557721314249602848739817764518743062133735858753112190e6) }},
+        {{ SC_(-1.00000095367431640625) /*static_cast<T>(-1) - static_cast<T>(std::ldexp(1.0, -20))*/, SC_(1.04857642278181269259522681939281063878220298942888100442172e6) }},
+    }};
+   do_test_digamma<T>(digamma_bugs, name, "Digamma Function: Values near 0");
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 40> digamma_integers = { {
+      {{ SC_(1.0), SC_(-0.57721566490153286060651209008240243) }}, {{ SC_(2.0), SC_(0.42278433509846713939348790991759757) }}, {{ SC_(3.0), SC_(0.92278433509846713939348790991759757) }}, {{ SC_(4.0), SC_(1.2561176684318004727268212432509309) }}, {{ SC_(5.0), SC_(1.5061176684318004727268212432509309) }}, {{ SC_(6.0), SC_(1.7061176684318004727268212432509309) }}, {{ SC_(7.0), SC_(1.8727843350984671393934879099175976) }}, {{ SC_(8.0), SC_(2.0156414779556099965363450527747404) }}, {{ SC_(9.0), SC_(2.1406414779556099965363450527747404) }}, {{ SC_(10.0), SC_(2.2517525890667211076474561638858515) }}, {{ SC_(11.0), SC_(2.3517525890667211076474561638858515) }}, {{ SC_(12.0), SC_(2.4426616799758120167383652547949424) }}, {{ SC_(13.0), SC_(2.5259950133091453500716985881282758) }}, {{ SC_(14.0), SC_(2.6029180902322222731486216650513527) }}, {{ SC_(15.0), SC_(2.6743466616607937017200502364799241) }}, {{ SC_(16.0), SC_(2.7410133283274603683867169031465908) }}, {{ SC_(17.0), SC_(2.8035133283274603683867169031465908) }}, {{ SC_(18.0), SC_(2.8623368577392250742690698443230614) }}, {{ SC_(19.0), SC_(2.9178924132947806298246253998786169) }}, {{ SC_(20.0), SC_(2.9705239922421490508772569788259854) }}, {{ SC_(21.0), SC_(3.0205239922421490508772569788259854) }}, {{ SC_(22.0), SC_(3.0681430398611966699248760264450330) }}, {{ SC_(23.0), SC_(3.1135975853157421244703305718995784) }}, {{ SC_(24.0), SC_(3.1570758461853073418616349197256654) }}, {{ SC_(25.0), SC_(3.1987425128519740085283015863923321) }}, {{ SC_(26.0), SC_(3.2387425128519740085283015863923321) }}, {{ SC_(27.0), SC_(3.2772040513135124700667631248538705) }}, {{ SC_(28.0), SC_(3.3142410883505495071038001618909076) }}, {{ SC_(29.0), SC_(3.3499553740648352213895144476051933) }}, {{ SC_(30.0), SC_(3.3844381326855248765619282407086415) }}, {{ SC_(31.0), SC_(3.4177714660188582098952615740419749) }}, {{ SC_(32.0), SC_(3.4500295305349872421533260901710071) }}, {{ SC_(33.0), SC_(3.4812795305349872421533260901710071) }}, {{ SC_(34.0), SC_(3.5115825608380175451836291204740374) }}, {{ SC_(35.0), SC_(3.5409943255438998981248055910622727) }}, {{ SC_(36.0), SC_(3.5695657541153284695533770196337013) }}, {{ SC_(37.0), SC_(3.5973435318931062473311547974114791) }}, {{ SC_(38.0), SC_(3.6243705589201332743581818244385061) }}, {{ SC_(39.0), SC_(3.6506863483938174848844976139121903) }}, {{ SC_(40.0), SC_(3.6763273740348431259101386395532160) }}
+   } };
+   do_test_digamma<T>(digamma_integers, name, "Digamma Function: Integer arguments");
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 41> digamma_half_integers = { {
+      {{ SC_(0.5), SC_(-1.9635100260214234794409763329987556) }}, {{ SC_(1.5), SC_(0.036489973978576520559023667001244433) }}, {{ SC_(2.5), SC_(0.70315664064524318722569033366791110) }}, {{ SC_(3.5), SC_(1.1031566406452431872256903336679111) }}, {{ SC_(4.5), SC_(1.3888709263595289015114046193821968) }}, {{ SC_(5.5), SC_(1.6110931485817511237336268416044190) }}, {{ SC_(6.5), SC_(1.7929113303999329419154450234226009) }}, {{ SC_(7.5), SC_(1.9467574842460867880692911772687547) }}, {{ SC_(8.5), SC_(2.0800908175794201214026245106020880) }}, {{ SC_(9.5), SC_(2.1977378764029495331673303929550292) }}, {{ SC_(10.5), SC_(2.3030010342976863752725935508497661) }}, {{ SC_(11.5), SC_(2.3982391295357816133678316460878613) }}, {{ SC_(12.5), SC_(2.4851956512749120481504403417400352) }}, {{ SC_(13.5), SC_(2.5651956512749120481504403417400352) }}, {{ SC_(14.5), SC_(2.6392697253489861222245144158141093) }}, {{ SC_(15.5), SC_(2.7082352425903654325693420020210058) }}, {{ SC_(16.5), SC_(2.7727513716226234970854710342790703) }}, {{ SC_(17.5), SC_(2.8333574322286841031460770948851310) }}, {{ SC_(18.5), SC_(2.8905002893715412460032199520279881) }}, {{ SC_(19.5), SC_(2.9445543434255953000572740060820421) }}, {{ SC_(20.5), SC_(2.9958363947076465821085560573640934) }}, {{ SC_(21.5), SC_(3.0446168825125246308890438622421422) }}, {{ SC_(22.5), SC_(3.0911285104195013750750903738700492) }}, {{ SC_(23.5), SC_(3.1355729548639458195195348183144936) }}, {{ SC_(24.5), SC_(3.1781261463533075216471943927825787) }}, {{ SC_(25.5), SC_(3.2189424728839197665451535764560481) }}, {{ SC_(26.5), SC_(3.2581581591584295704667222039070285) }}, {{ SC_(27.5), SC_(3.2958940082150333440516278642843870) }}, {{ SC_(28.5), SC_(3.3322576445786697076879915006480234) }}, {{ SC_(29.5), SC_(3.3673453638769153217230792199462690) }}, {{ SC_(30.5), SC_(3.4012436689616610844349436267259300) }}, {{ SC_(31.5), SC_(3.4340305542075627237792059218078972) }}, {{ SC_(32.5), SC_(3.4657765859535944698109519535539290) }}, {{ SC_(33.5), SC_(3.4965458167228252390417211843231597) }}, {{ SC_(34.5), SC_(3.5263965629914819554596316320843538) }}, {{ SC_(35.5), SC_(3.5553820702378587670538345306350784) }}, {{ SC_(36.5), SC_(3.5835510843223658093073556573956418) }}, {{ SC_(37.5), SC_(3.6109483445963384120470816847929021) }}, {{ SC_(38.5), SC_(3.6376150112630050787137483514595687) }}, {{ SC_(39.5), SC_(3.6635890372370310527397223774335947) }}, {{ SC_(40.5), SC_(3.6889054929332335843852919976867593) }}
+   } };
+   do_test_digamma<T>(digamma_half_integers, name, "Digamma Function: Half integer arguments");
+
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(0)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(-1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_dist_overloads.cpp b/src/boost/libs/math/test/test_dist_overloads.cpp
new file mode 100644
index 00000000..5fd60fbb
--- /dev/null
+++ b/src/boost/libs/math/test/test_dist_overloads.cpp
@@ -0,0 +1,101 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_dist_overloads.cpp
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp>
+    using boost::math::normal_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks,
+   // 2 eps as a percentage:
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 2 * 100;
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   for(int i = -4; i <= 4; ++i)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::cdf(normal_distribution<RealType>(), i),
+         ::boost::math::cdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::pdf(normal_distribution<RealType>(), i),
+         ::boost::math::pdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::cdf(complement(normal_distribution<RealType>(), i)),
+         ::boost::math::cdf(complement(normal_distribution<RealType>(), static_cast<RealType>(i))),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::hazard(normal_distribution<RealType>(), i),
+         ::boost::math::hazard(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::chf(normal_distribution<RealType>(), i),
+         ::boost::math::chf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+   }
+   for(float f = 0.01f; f < 1; f += 0.01f)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(normal_distribution<RealType>(), f),
+         ::boost::math::quantile(normal_distribution<RealType>(), static_cast<RealType>(f)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(complement(normal_distribution<RealType>(), f)),
+         ::boost::math::quantile(complement(normal_distribution<RealType>(), static_cast<RealType>(f))),
+         tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Running 1 test case...
+Tolerance for type float is 2.38419e-005 %
+Tolerance for type double is 4.44089e-014 %
+Tolerance for type long double is 4.44089e-014 %
+Tolerance for type class boost::math::concepts::real_concept is 4.44089e-014 %
+*** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_ellint_1.cpp b/src/boost/libs/math/test/test_ellint_1.cpp
new file mode 100644
index 00000000..b5cb2a35
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_1.cpp
@@ -0,0 +1,101 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_1.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the first kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 5, 3);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 5, 3);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_1.hpp b/src/boost/libs/math/test/test_ellint_1.hpp
new file mode 100644
index 00000000..459e7423
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_1.hpp
@@ -0,0 +1,149 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_f(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_1_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_1<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_1;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_1", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_k(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_1C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_1C_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_1C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_1<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_1;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_1 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticF accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 22> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-10.0), SC_(0.0), SC_(-10.0) }},
+        {{ SC_(-1.0), SC_(-1.0), SC_(-1.2261911708835170708130609674719067527242483502207) }},
+        {{ SC_(-4.0), SC_(0.875), SC_(-5.3190556182262405182189463092940736859067548232647) }},
+        {{ SC_(8.0), SC_(-0.625), SC_(9.0419973860310100524448893214394562615252527557062) }},
+        {{ SC_(1e-05), SC_(0.875), SC_(0.000010000000000127604166668510945638036143355898993088) }},
+        {{ SC_(1e+05), SC_(0.009765625) /*T(10)/1024*/, SC_(100002.38431454899771096037307519328741455615271038) }},
+        {{ SC_(1e-20), SC_(1.0), SC_(1.0000000000000000000000000000000000000000166666667e-20) }},
+        {{ SC_(1e-20), SC_(1e-20), SC_(1.000000000000000e-20) }},
+        {{ SC_(1e+20), SC_(0.390625) /*T(400)/1024*/, SC_(1.0418143796499216839719289963154558027005142709763e20) }},
+        {{ SC_(1e+50), SC_(0.875), SC_(1.3913251718238765549409892714295358043696028445944e50) }},
+        {{ SC_(2.0), SC_(0.5), SC_(2.1765877052210673672479877957388515321497888026770) }},
+        {{ SC_(4.0), SC_(0.5), SC_(4.2543274975235836861894752787874633017836785640477) }},
+        {{ SC_(6.0), SC_(0.5), SC_(6.4588766202317746302999080620490579800463614807916) }},
+        {{ SC_(10.0), SC_(0.5), SC_(10.697409951222544858346795279378531495869386960090) }},
+        {{ SC_(-2.0), SC_(0.5), SC_(-2.1765877052210673672479877957388515321497888026770) }},
+        {{ SC_(-4.0), SC_(0.5), SC_(-4.2543274975235836861894752787874633017836785640477) }},
+        {{ SC_(-6.0), SC_(0.5), SC_(-6.4588766202317746302999080620490579800463614807916) }},
+        {{ SC_(-10.0), SC_(0.5), SC_(-10.697409951222544858346795279378531495869386960090) }},
+        // Some values where k is > 1:
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(1.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(0.154661869446904722070471580919758948531148566762183486996920)}},
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(1.461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461), SC_(0.155166467455029577314314021156113481657713115640002027219)}},
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(2.461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461), SC_(0.15776272074094290829870142225970052217542486917945444918)}},
+    }};
+
+    do_test_ellint_f<T>(data1, type_name, "Elliptic Integral F: Mathworld Data");
+
+#include "ellint_f_data.ipp"
+
+    do_test_ellint_f<T>(ellint_f_data, type_name, "Elliptic Integral F: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticK accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 9> data2 = {{
+        {{ SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) }},
+        {{ SC_(0.125), SC_(1.5769867712158131421244030532288080803822271060839) }},
+        {{ SC_(0.25), SC_(1.5962422221317835101489690714979498795055744578951) }},
+        {{ SC_(0.29296875) /*T(300)/1024*/, SC_(1.6062331054696636704261124078746600894998873503208) }},
+        {{ SC_(0.390625) /*T(400)/1024*/, SC_(1.6364782007562008756208066125715722889067992997614) }},
+        {{ SC_(-0.5), SC_(1.6857503548125960428712036577990769895008008941411) }},
+        {{ SC_(-0.75), SC_(1.9109897807518291965531482187613425592531451316788) }},
+        {{ SC_(0.875) /*1-T(1)/8*/, SC_(2.185488469278223686913080323730158689730428415766) }},
+        {{ SC_(0.9990234375) /*1-T(1)/1024*/, SC_(4.5074135978990422666372495313621124487894807327687) }},
+    }};
+
+    do_test_ellint_k<T>(data2, type_name, "Elliptic Integral K: Mathworld Data");
+
+#include "ellint_k_data.ipp"
+
+    do_test_ellint_k<T>(ellint_k_data, type_name, "Elliptic Integral K: Random Data");
+
+    //
+    // Test error handling:
+    //
+    BOOST_CHECK_GE(boost::math::ellint_1(T(1)), boost::math::tools::max_value<T>());
+    BOOST_CHECK_GE(boost::math::ellint_1(T(-1)), boost::math::tools::max_value<T>());
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(1.0001)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(-1.0001)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(2.2), T(0.5)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(-2.2), T(0.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_ellint_2.cpp b/src/boost/libs/math/test/test_ellint_2.cpp
new file mode 100644
index 00000000..d618569d
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_2.cpp
@@ -0,0 +1,102 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_2.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the second kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_2.hpp b/src/boost/libs/math/test/test_ellint_2.hpp
new file mode 100644
index 00000000..4101dead
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_2.hpp
@@ -0,0 +1,141 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_e2(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+#ifdef ELLINT_2_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_2_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_2<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_2;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_2", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_e1(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_2C_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_2C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_2<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_2;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_2 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 12> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-10.0), SC_(0.0), SC_(-10.0) }},
+        {{ SC_(-1.0), SC_(-1.0), SC_(-0.84147098480789650665250232163029899962256306079837) }},
+        {{ SC_(-4.0), SC_(0.87890625) /*T(900) / 1024*/, SC_(-3.1756145986492562317862928524528520686391383168377) }},
+        {{ SC_(8.0), SC_(-0.5859375) /*T(-600) / 1024*/, SC_(7.2473147180505693037677015377802777959345489333465) }},
+        {{ SC_(1e-05), SC_(0.78125) /*T(800) / 1024*/, SC_(9.999999999898274739584436515967055859383969942432E-6) }},
+        {{ SC_(1e+05), SC_(0.09765625) /*T(100) / 1024*/, SC_(99761.153306972066658135668386691227343323331995888) }},
+        {{ SC_(1e+10), SC_(-0.5), SC_(9.3421545766487137036576748555295222252286528414669e9) }},
+        {{ SC_(7.3786976294838206464e19) /*static_cast<T>(ldexp(T(1), 66))*/, SC_(0.390625) /*T(400) / 1024*/, SC_(7.0886102721911705466476846969992069994308167515242e19) }},
+        {{ SC_(9.3536104789177786765035829293842113257979682750464e49) /*static_cast<T>(ldexp(T(1), 166))*/, SC_(0.87890625) /*T(900) / 1024*/, SC_(7.1259011068364515942912094521783688927118026465790e49) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.244087118441983436818717707617920319373286836562840) }},
+        {{ SC_(0.125), SC_(4.5), SC_(0.118076756678411098995742003403224531993649663256045) }},
+    }};
+
+    do_test_ellint_e2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_e2_data.ipp"
+
+    do_test_ellint_e2<T>(ellint_e2_data, type_name, "Elliptic Integral E: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 10> data2 = {{
+        {{ SC_(-1.0), SC_(1.0) }},
+        {{ SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) }},
+        {{ SC_(0.09765625) /*T(100) / 1024*/, SC_(1.5670445330545086723323795143598956428788609133377) }},
+        {{ SC_(0.1953125) /*T(200) / 1024*/, SC_(1.5557071588766556854463404816624361127847775545087) }},
+        {{ SC_(0.29296875) /*T(300) / 1024*/, SC_(1.5365278991162754883035625322482669608948678755743) }},
+        {{ SC_(0.390625) /*T(400) / 1024*/, SC_(1.5090417763083482272165682786143770446401437564021) }},
+        {{ SC_(-0.5), SC_(1.4674622093394271554597952669909161360253617523272) }},
+        {{ SC_(-0.5859375) /*T(-600) / 1024*/, SC_(1.4257538571071297192428217218834579920545946473778) }},
+        {{ SC_(-0.78125) /*T(-800) / 1024*/, SC_(1.2927868476159125056958680222998765985004489572909) }},
+        {{ SC_(-0.87890625) /*T(-900) / 1024*/, SC_(1.1966864890248739524112920627353824133420353430982) }},
+    }};
+
+    do_test_ellint_e1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_e_data.ipp"
+
+    do_test_ellint_e1<T>(ellint_e_data, type_name, "Elliptic Integral E: Random Data");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 72> small_angles = { {
+       {{ SC_(0.00097656250000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00097656246119489873806295171767681128826061680891539) }},{{ SC_(0.00048828125000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00048828124514936177847275804383491089917731651869089) }},{{ SC_(0.00024414062500000000000000000000000000000000000000000), SC_(0.5), SC_(0.00024414062439367020469080959924292294147407037569089) }},{{ SC_(0.00012207031250000000000000000000000000000000000000000), SC_(0.5), SC_(0.00012207031242420877503577978533579671450656676021144) }},{{ SC_(0.000061035156250000000000000000000000000000000000000000), SC_(0.5), SC_(0.000061035156240526096862267116434822602398026203555135) }},{{ SC_(0.000030517578125000000000000000000000000000000000000000), SC_(0.5), SC_(0.000030517578123815762107245722156263286910312978330942) }},{{ SC_(0.000015258789062500000000000000000000000000000000000000), SC_(0.5), SC_(0.000015258789062351970263388913163340973814136929083865) }},{{ SC_(7.6293945312500000000000000000000000000000000000000e-6), SC_(0.5), SC_(7.6293945312314962829230890795991108894734462126936e-6) }},{{ SC_(3.8146972656250000000000000000000000000000000000000e-6), SC_(0.5), SC_(3.8146972656226870353653697266430602974836595561218e-6) }},{{ SC_(1.9073486328125000000000000000000000000000000000000e-6), SC_(0.5), SC_(1.9073486328122108794206707030707941437882919842603e-6) }},{{ SC_(9.5367431640625000000000000000000000000000000000000e-7), SC_(0.5), SC_(9.5367431640621385992758382186011213067376941980499e-7) }},{{ SC_(4.7683715820312500000000000000000000000000000000000e-7), SC_(0.5), SC_(4.7683715820312048249094797723177223079355575583105e-7) }},{{ SC_(2.3841857910156250000000000000000000000000000000000e-7), SC_(0.5), SC_(2.3841857910156193531136849713832334805104830239272e-7) }},{{ SC_(1.1920928955078125000000000000000000000000000000000e-7), SC_(0.5), SC_(1.1920928955078117941392106214180141285643896716624e-7) }},{{ SC_(5.9604644775390625000000000000000000000000000000000e-8), SC_(0.5), SC_(5.9604644775390616176740132767709895180494181165759e-8) }},{{ SC_(2.9802322387695312500000000000000000000000000000000e-8), SC_(0.5), SC_(2.9802322387695311397092516595963259352981751091479e-8) }},{{ SC_(1.4901161193847656250000000000000000000000000000000e-8), SC_(0.5), SC_(1.4901161193847656112136564574495392495854593212863e-8) }},{{ SC_(7.4505805969238281250000000000000000000000000000000e-9), SC_(0.5), SC_(7.4505805969238281077670705718119235956296952243088e-9) }},{{ SC_(3.7252902984619140625000000000000000000000000000000e-9), SC_(0.5), SC_(3.7252902984619140603458838214764904348802078740605e-9) }},{{ SC_(1.8626451492309570312500000000000000000000000000000e-9), SC_(0.5), SC_(1.8626451492309570309807354776845613039046039833520e-9) }},{{ SC_(9.3132257461547851562500000000000000000000000000000e-10), SC_(0.5), SC_(9.3132257461547851559134193471057016297384356039070e-10) }},{{ SC_(4.6566128730773925781250000000000000000000000000000e-10), SC_(0.5), SC_(4.6566128730773925780829274183882127037128569700108e-10) }},{{ SC_(2.3283064365386962890625000000000000000000000000000e-10), SC_(0.5), SC_(2.3283064365386962890572409272985265879639681374864e-10) }},{{ SC_(1.1641532182693481445312500000000000000000000000000e-10), SC_(0.5), SC_(1.1641532182693481445305926159123158234954916739431e-10) }},{{ SC_(5.8207660913467407226562500000000000000000000000000e-11), SC_(0.5), SC_(5.8207660913467407226554282698903947793693632351656e-11) }},{{ SC_(2.9103830456733703613281250000000000000000000000000e-11), SC_(0.5), SC_(2.9103830456733703613280222837362993474211703619812e-11) }},{{ SC_(1.4551915228366851806640625000000000000000000000000e-11), SC_(0.5), SC_(1.4551915228366851806640496604670374184276462939222e-11) }},{{ SC_(7.2759576141834259033203125000000000000000000000000e-12), SC_(0.5), SC_(7.2759576141834259033202964505837967730345578669885e-12) }},{{ SC_(3.6379788070917129516601562500000000000000000000000e-12), SC_(0.5), SC_(3.6379788070917129516601542438229745966293197333606e-12) }},{{ SC_(1.8189894035458564758300781250000000000000000000000e-12), SC_(0.5), SC_(1.8189894035458564758300778742278718245786649666697e-12) }},{{ SC_(9.0949470177292823791503906250000000000000000000000e-13), SC_(0.5), SC_(9.0949470177292823791503903115348397807233312083370e-13) }},{{ SC_(4.5474735088646411895751953125000000000000000000000e-13), SC_(0.5), SC_(4.5474735088646411895751952733168549725904164010421e-13) }},{{ SC_(2.2737367544323205947875976562500000000000000000000e-13), SC_(0.5), SC_(2.2737367544323205947875976513521068715738020501303e-13) }},{{ SC_(1.1368683772161602973937988281250000000000000000000e-13), SC_(0.5), SC_(1.1368683772161602973937988275127633589467252562663e-13) }},{{ SC_(5.6843418860808014869689941406250000000000000000000e-14), SC_(0.5), SC_(5.6843418860808014869689941398597041986834065703329e-14) }},{{ SC_(2.8421709430404007434844970703125000000000000000000e-14), SC_(0.5), SC_(2.8421709430404007434844970702168380248354258212916e-14) }},{{ SC_(1.4210854715202003717422485351562500000000000000000e-14), SC_(0.5), SC_(1.4210854715202003717422485351442922531044282276615e-14) }},{{ SC_(7.1054273576010018587112426757812500000000000000000e-15), SC_(0.5), SC_(7.1054273576010018587112426757663028163805352845768e-15) }},{{ SC_(3.5527136788005009293556213378906250000000000000000e-15), SC_(0.5), SC_(3.5527136788005009293556213378887566020475669105721e-15) }},{{ SC_(1.7763568394002504646778106689453125000000000000000e-15), SC_(0.5), SC_(1.7763568394002504646778106689450789502559458638215e-15) }},{{ SC_(8.8817841970012523233890533447265625000000000000000e-16), SC_(0.5), SC_(8.8817841970012523233890533447262705628199323297769e-16) }},{{ SC_(4.4408920985006261616945266723632812500000000000000e-16), SC_(0.5), SC_(4.4408920985006261616945266723632447578524915412221e-16) }},{{ SC_(2.2204460492503130808472633361816406250000000000000e-16), SC_(0.5), SC_(2.2204460492503130808472633361816360634815614426528e-16) }},{{ SC_(1.1102230246251565404236316680908203125000000000000e-16), SC_(0.5), SC_(1.1102230246251565404236316680908197423101951803316e-16) }},{{ SC_(5.5511151231257827021181583404541015625000000000000e-17), SC_(0.5), SC_(5.5511151231257827021181583404541008497627439754145e-17) }},{{ SC_(2.7755575615628913510590791702270507812500000000000e-17), SC_(0.5), SC_(2.7755575615628913510590791702270506921578429969268e-17) }},{{ SC_(1.3877787807814456755295395851135253906250000000000e-17), SC_(0.5), SC_(1.3877787807814456755295395851135253794884803746159e-17) }},{{ SC_(6.9388939039072283776476979255676269531250000000000e-18), SC_(0.5), SC_(6.9388939039072283776476979255676269392043504682698e-18) }},{{ SC_(3.4694469519536141888238489627838134765625000000000e-18), SC_(0.5), SC_(3.4694469519536141888238489627838134748224188085337e-18) }},{{ SC_(1.7347234759768070944119244813919067382812500000000e-18), SC_(0.5), SC_(1.7347234759768070944119244813919067380637398510667e-18) }},{{ SC_(8.6736173798840354720596224069595336914062500000000e-19), SC_(0.5), SC_(8.6736173798840354720596224069595336911343623138334e-19) }},{{ SC_(4.3368086899420177360298112034797668457031250000000e-19), SC_(0.5), SC_(4.3368086899420177360298112034797668456691390392292e-19) }},{{ SC_(2.1684043449710088680149056017398834228515625000000e-19), SC_(0.5), SC_(2.1684043449710088680149056017398834228473142549036e-19) }},{{ SC_(1.0842021724855044340074528008699417114257812500000e-19), SC_(0.5), SC_(1.0842021724855044340074528008699417114252502193630e-19) }},{{ SC_(5.4210108624275221700372640043497085571289062500000e-20), SC_(0.5), SC_(5.4210108624275221700372640043497085571282424617037e-20) }},{{ SC_(2.7105054312137610850186320021748542785644531250000e-20), SC_(0.5), SC_(2.7105054312137610850186320021748542785643701514630e-20) }},{{ SC_(1.3552527156068805425093160010874271392822265625000e-20), SC_(0.5), SC_(1.3552527156068805425093160010874271392822161908079e-20) }},{{ SC_(6.7762635780344027125465800054371356964111328125000e-21), SC_(0.5), SC_(6.7762635780344027125465800054371356964111198478848e-21) }},{{ SC_(3.3881317890172013562732900027185678482055664062500e-21), SC_(0.5), SC_(3.3881317890172013562732900027185678482055647856731e-21) }},{{ SC_(1.6940658945086006781366450013592839241027832031250e-21), SC_(0.5), SC_(1.6940658945086006781366450013592839241027830005529e-21) }},{{ SC_(8.4703294725430033906832250067964196205139160156250e-22), SC_(0.5), SC_(8.4703294725430033906832250067964196205139157624099e-22) }},{{ SC_(4.2351647362715016953416125033982098102569580078125e-22), SC_(0.5), SC_(4.2351647362715016953416125033982098102569579761606e-22) }},{{ SC_(2.1175823681357508476708062516991049051284790039062e-22), SC_(0.5), SC_(2.1175823681357508476708062516991049051284789999498e-22) }},{{ SC_(1.0587911840678754238354031258495524525642395019531e-22), SC_(0.5), SC_(1.0587911840678754238354031258495524525642395014586e-22) }},{{ SC_(5.2939559203393771191770156292477622628211975097656e-23), SC_(0.5), SC_(5.2939559203393771191770156292477622628211975091474e-23) }},{{ SC_(2.6469779601696885595885078146238811314105987548828e-23), SC_(0.5), SC_(2.6469779601696885595885078146238811314105987548055e-23) }},{{ SC_(1.3234889800848442797942539073119405657052993774414e-23), SC_(0.5), SC_(1.3234889800848442797942539073119405657052993774317e-23) }},{{ SC_(6.6174449004242213989712695365597028285264968872070e-24), SC_(0.5), SC_(6.6174449004242213989712695365597028285264968871950e-24) }},{{ SC_(3.3087224502121106994856347682798514142632484436035e-24), SC_(0.5), SC_(3.3087224502121106994856347682798514142632484436020e-24) }},{{ SC_(1.6543612251060553497428173841399257071316242218018e-24), SC_(0.5), SC_(1.6543612251060553497428173841399257071316242218016e-24) }},{{ SC_(8.2718061255302767487140869206996285356581211090088e-25), SC_(0.5), SC_(8.2718061255302767487140869206996285356581211090086e-25) }},{{ SC_(4.1359030627651383743570434603498142678290605545044e-25), SC_(0.5), SC_(4.1359030627651383743570434603498142678290605545044e-25) }}
+    } };
+    do_test_ellint_e2<T>(small_angles, type_name, "Elliptic Integral E: Small Angles");
+    //
+    // Test error handling:
+    //
+    BOOST_CHECK_EQUAL(boost::math::ellint_2(T(1)), T(1));
+    BOOST_CHECK_EQUAL(boost::math::ellint_2(T(-1)), T(1));
+    BOOST_CHECK_THROW(boost::math::ellint_2(T(1.5)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_2(T(-1.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_ellint_3.cpp b/src/boost/libs/math/test/test_ellint_3.cpp
new file mode 100644
index 00000000..18b82e64
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_3.cpp
@@ -0,0 +1,106 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_3.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the third kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Large.*",      // test data group
+      ".*", 50, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Mathworld.*",      // test data group
+      ".*", 600, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 8);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_3.hpp b/src/boost/libs/math/test/test_ellint_3.hpp
new file mode 100644
index 00000000..3e7cdef0
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_3.hpp
@@ -0,0 +1,224 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+
+template <class Real, typename T>
+void do_test_ellint_pi3(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_3_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_3_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type, value_type) = ELLINT_3_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type, value_type) = boost::math::ellint_3<value_type, value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type, value_type) = boost::math::ellint_3;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 2, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_3", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_pi2(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_3C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_3C_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_3C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_3<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_3;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_3 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 4>, 70> data1 = {{
+        {{ SC_(1.0), SC_(-1.0), SC_(0.0), SC_(-1.557407724654902230506974807458360173087) }},
+        {{ SC_(0.0), SC_(-4.0), SC_(0.4), SC_(-4.153623371196831087495427530365430979011) }},
+        {{ SC_(0.0), SC_(8.0), SC_(-0.6), SC_(8.935930619078575123490612395578518914416) }},
+        {{ SC_(0.0), SC_(0.5), SC_(0.25), SC_(0.501246705365439492445236118603525029757890291780157969500480) }},
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(0.5) }},
+        {{ SC_(-2.0), SC_(0.5), SC_(0.0), SC_(0.437501067017546278595664813509803743009132067629603474488486) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.0), SC_(0.510269830229213412212501938035914557628394166585442994564135) }},
+        {{ SC_(0.75), SC_(0.5), SC_(0.0), SC_(0.533293253875952645421201146925578536430596894471541312806165) }},
+        {{ SC_(0.75), SC_(0.75), SC_(0.0), SC_(0.871827580412760575085768367421866079353646112288567703061975) }},
+        {{ SC_(1.0), SC_(0.25), SC_(0.0), SC_(0.255341921221036266504482236490473678204201638800822621740476) }},
+        {{ SC_(2.0), SC_(0.25), SC_(0.0), SC_(0.261119051639220165094943572468224137699644963125853641716219) }},
+        {{ SC_(0.9990234375) /*T(1023)/1024*/, SC_(1.5), SC_(0.0), SC_(13.2821612239764190363647953338544569682942329604483733197131) }},
+        {{ SC_(0.5), SC_(-1.0), SC_(0.5), SC_(-1.228014414316220642611298946293865487807) }},
+        {{ SC_(0.5), SC_(1e+10), SC_(0.5), SC_(1.536591003599172091573590441336982730551e+10) }},
+        {{ SC_(-1e+05), SC_(10.0), SC_(0.75), SC_(0.0347926099493147087821620459290460547131012904008557007934290) }},
+        {{ SC_(-1e+10), SC_(10.0), SC_(0.875), SC_(0.000109956202759561502329123384755016959364346382187364656768212) }},
+        {{ SC_(-1e+10), SC_(1e+20), SC_(0.875), SC_(1.00000626665567332602765201107198822183913978895904937646809e15) }},
+        {{ SC_(-1e+10), SC_(1.5703125) /*T(1608)/1024*/, SC_(0.875), SC_(0.0000157080616044072676127333183571107873332593142625043567690379) }},
+        {{ SC_(0.9990234375) /*1-T(1) / 1024*/, SC_(1e+20), SC_(0.875), SC_(6.43274293944380717581167058274600202023334985100499739678963e21) }},
+        {{ SC_(50.0), SC_(0.125), SC_(0.25), SC_(0.196321043776719739372196642514913879497104766409504746018939) }},
+        {{ SC_(1.125), SC_(1.0), SC_(0.25), SC_(1.77299767784815770192352979665283069318388205110727241629752) }},
+        {{ SC_(1.125), SC_(10.0), SC_(0.25), SC_(0.662467818678976949597336360256848770217429434745967677192487) }},
+        {{ SC_(1.125), SC_(3.0), SC_(0.25), SC_(-0.142697285116693775525461312178015106079842313950476205580178) }},
+        {{ SC_(1.00390625) /*T(257)/256*/, SC_(1.5), SC_(0.125), SC_(22.2699300473528164111357290313578126108398839810535700884237) }},
+        {{ SC_(1.00390625) /*T(257)/256*/, SC_(21.5), SC_(0.125), SC_(-0.535406081652313940727588125663856894154526187713506526799429) }},
+        // Bug cases from Rocco Romeo:
+        { { SC_(-1E-170), SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { SC_(-1E-170), SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(-1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { SC_(-2.220446049250313080847263336181640625e-16) /*-ldexp(T(1.0), -52)*/, SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { SC_(-2.220446049250313080847263336181640625e-16) /*-ldexp(T(1.0), -52)*/, SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(-0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-6.63922491020958873361985258190585784161991397158789903999305172750504449826065303423953127831536607086111661e181) /*-ldexp(T(1), 604)*/ : SC_(0.0),
+               SC_(-2.2883557340936751629907904626893087059630763187242253081319190179713605588564915508590211920126569156532129e-246) /*-ldexp(T(1), -816)*/, 
+               SC_(2.9833362924800826973163861261851735349505886138401627577086073332825113540280473219744699561601711213446046e-154) /*ldexp(T(1), -510)*/, std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-6.63922491020958873361985258190585784161991397158789903999305172750504449826065303423953127831536607086111661e181) /*-ldexp(T(1), 604)*/ : SC_(0.0),
+              SC_(-2.2883557340936751629907904626893087059630763187242253081319190179713605588564915508590211920126569156532129e-246) /*-ldexp(T(1), -816)*/,  
+              SC_(-2.9833362924800826973163861261851735349505886138401627577086073332825113540280473219744699561601711213446046e-154) /*-ldexp(T(1), -510)*/, 
+              std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { SC_(-5.7456966998645880645292998187840197954917072165248345657117366246194931336885953843013801519761445019343718e-188) /*-ldexp(T(1), -622)*/, SC_(-1.4996968138956309548176444376280653535399616962391082979373344476177108558521903027709681283974148362424896e-241) /*-ldexp(T(1), -800)*/, SC_(1.83670992315982423120115083940975887159166493245638675235742454106002696789801120758056640625e-40) /*ldexp(T(1), -132)*/, SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { SC_(-5.7456966998645880645292998187840197954917072165248345657117366246194931336885953843013801519761445019343718e-188) /*-ldexp(T(1), -622)*/, SC_(-1.4996968138956309548176444376280653535399616962391082979373344476177108558521903027709681283974148362424896e-241) /*-ldexp(T(1), -800)*/, SC_(-1.83670992315982423120115083940975887159166493245638675235742454106002696789801120758056640625e-40) /*-ldexp(T(1), -132)*/, SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { SC_(-6.6243372842224761350235742755846980122105019136217468782770353048106301097687150169478930287429355091446506e-170) /*-ldexp(T(1), -562)*/, SC_(7.1746481373430634031294954664443705921549411424077607513961896135157303433516062796115875244140625e-43) /*ldexp(T(1), -140)*/, SC_(8.6361685550944446253863518628003995711160003644362813850237034701685918031624270579715075034722882265605472e-78) /*ldexp(T(1), -256)*/, SC_(7.174648137343063403129495466444370592154941142407760751e-43) } },
+        { { SC_(-6.6243372842224761350235742755846980122105019136217468782770353048106301097687150169478930287429355091446506e-170) /*-ldexp(T(1), -562)*/, SC_(-7.1746481373430634031294954664443705921549411424077607513961896135157303433516062796115875244140625e-43) /*-ldexp(T(1), -140)*/, SC_(8.6361685550944446253863518628003995711160003644362813850237034701685918031624270579715075034722882265605472e-78) /*ldexp(T(1), -256)*/, SC_(-7.17464813734306340312949546644437059215494114240776075e-43) } },
+        { { SC_(7.7868710555449746371177365743005823355489124613059339568813918517897390050405261457702973319275391516778931e-208) /*ldexp(T(1), -688)*/, SC_(-7.0747492803333690371164994460060873286582274985462017106114178827621104051506602458902589468444985151984003e-74) /*-ldexp(T(1), -243)*/, SC_(7.9654595556622613851444019888385590279555227759630939303694292669308145075652908047154493736009134297049172e-59) /*ldexp(T(1), -193)*/, SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        { { SC_(-7.7868710555449746371177365743005823355489124613059339568813918517897390050405261457702973319275391516778931e-208) /*-ldexp(T(1), -688)*/, SC_(-7.0747492803333690371164994460060873286582274985462017106114178827621104051506602458902589468444985151984003e-74) /*-ldexp(T(1), -243)*/, SC_(7.9654595556622613851444019888385590279555227759630939303694292669308145075652908047154493736009134297049172e-59) /*ldexp(T(1), -193)*/, SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        // Special cases where k = 0:
+        { { SC_(0.5), SC_(1.0), SC_(0.0), SC_(1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(1.0), SC_(0.0), SC_(0.888286691263535380266337576823783210424994266596287990733270) } },
+        { { SC_(0.5), SC_(-1.0), SC_(0.0), SC_(-1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(0.0), SC_(-0.888286691263535380266337576823783210424994266596287990733270) } },
+        // k == 0 and phi > pi/2:
+        { { SC_(0.5), SC_(2.0), SC_(0.0), SC_(3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(2.0), SC_(0.0), SC_(1.57453655812023739911111328195028658229986230310938753315640) } },
+        { { SC_(0.5), SC_(-2.0), SC_(0.0), SC_(-3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(-2.0), SC_(0.0), SC_(-1.57453655812023739911111328195028658229986230310938753315640) } },
+        // Special cases where k = 1:
+        { { SC_(0.5), SC_(1.0), SC_(1.0), SC_(1.4830998734200773326887632776553375078936815318419194718912351) } },
+        { { SC_(-0.5), SC_(1.0), SC_(1.0), SC_(1.07048347329000030842347009377117215811122412769516781788253) } },
+        { { SC_(0.5), SC_(-1.0), SC_(1.0), SC_(-1.4830998734200773326887632776553375078936815318419194718912) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(1.0), SC_(-1.07048347329000030842347009377117215811122412769516781788253) } },
+        // special cases where v = 1:
+        { { SC_(1.0), SC_(0.5), SC_(0.5), SC_(0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(-0.5), SC_(0.5), SC_(-0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(2.0), SC_(0.5), SC_(-2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(-2.0), SC_(0.5), SC_(2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(2.0), SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(-2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), SC_(-2.0), SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), SC_(7.00649232162408535461864791644958065640130970938257885878534141944895541342930300743319094181060791015625e-46) /*ldexp(T(1.0), -150)*/, SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(7.006492321624085354618647916449580656401309709382578858e-46) } },
+        { { SC_(1.0), SC_(-7.00649232162408535461864791644958065640130970938257885878534141944895541342930300743319094181060791015625e-46) /*ldexp(T(1.0), -150)*/, SC_(-6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*-ldexp(T(1), -200)*/, SC_(-7.006492321624085354618647916449580656401309709382578858e-46) } },
+        // Previously unsupported region with v > 1 and |phi| > PI/2, this is the only region
+        // with high-ish error rates caused by argument reduction by Pi:
+        { { SC_(20.0), SC_(3.1425685882568359375) /*ldexp(T(1647611), -19)*/, SC_(0.5), SC_(0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(20.0), SC_(-3.1425685882568359375) /*-ldexp(T(1647611), -19)*/, SC_(0.5), SC_(-0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(1.015625) /*T(1.0) + ldexp(T(1), -6)*/, SC_(1.6957950592041015625) /*ldexp(T(889085), -19)*/, SC_(0.5), SC_(-27.1647225624906589308619292363045712770651414487085887109197) } },
+        { { SC_(1.015625) /*T(1.0) + ldexp(T(1), -6)*/, SC_(-1.6957950592041015625) /*-ldexp(T(889085), -19)*/, SC_(0.5), SC_(27.1647225624906589308619292363045712770651414487085887109197) } },
+        // Phi = 0:
+        { { SC_(1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        // cases where |k| > 1:
+        {{ SC_(1.015625), SC_(0.125), SC_(2.5), SC_(0.12780840244950364924992513047014683502850891674019968726)}},
+        {{ SC_(1.015625), SC_(0.125), SC_(4.5), SC_(0.133468341825478826487248053944106425799790398297092314041)}},
+        {{ SC_(-1.015625), SC_(0.125), SC_(4.5), SC_(0.131998693459801470974303284674812630138938285546080214149)}},
+        {{ SC_(-1.015625), SC_(-0.125), SC_(4.5), SC_(-0.13199869345980147097430328467481263013893828554608021414)}},
+        {{ SC_(-1.015625), SC_(-0.125), SC_(1.5), SC_(-0.12508193549646497011359938978158598001227028251706394704)}},
+    } };
+
+    do_test_ellint_pi3<T>(data1, type_name, "Elliptic Integral PI: Mathworld Data");
+
+#include "ellint_pi3_data.ipp"
+
+    do_test_ellint_pi3<T>(ellint_pi3_data, type_name, "Elliptic Integral PI: Random Data");
+
+#include "ellint_pi3_large_data.ipp"
+
+    do_test_ellint_pi3<T>(ellint_pi3_large_data, type_name, "Elliptic Integral PI: Large Random Data");
+
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> data2 = {{
+        {{ SC_(0.0), SC_(0.2), SC_(1.586867847454166237308008033828114192951) }},
+        {{ SC_(0.0), SC_(0.4), SC_(1.639999865864511206865258329748601457626) }},
+        {{ SC_(0.0), SC_(0.0), SC_(1.57079632679489661923132169163975144209858469968755291048747) }},
+        {{ SC_(0.5), SC_(0.0), SC_(2.221441469079183123507940495030346849307) }},
+        {{ SC_(-4.0), SC_(0.3), SC_(0.712708870925620061597924858162260293305195624270730660081949) }},
+        {{ SC_(-1e+05), SC_(-0.5), SC_(0.00496944596485066055800109163256108604615568144080386919012831) }},
+        {{ SC_(-1e+10), SC_(-0.75), SC_(0.0000157080225184890546939710019277357161497407143903832703317801) }},
+        {{ SC_(0.0009765625) /*T(1) / 1024*/, SC_(-0.875), SC_(2.18674503176462374414944618968850352696579451638002110619287) }},
+        {{ SC_(0.9990234375) /*T(1023)/1024*/, SC_(-0.875), SC_(101.045289804941384100960063898569538919135722087486350366997) }},
+        // Bug cases from Rocco Romeo:
+        { { SC_(1e-175), SC_(0.0), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(-1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(-3.3306690738754696212708950042724609375e-16) /*-1.5f * ldexp(T(1), -52)*/, SC_(-0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { SC_(-3.3306690738754696212708950042724609375e-16) /*-1.5f * ldexp(T(1), -52)*/, SC_(0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { SC_(2.6497349136889904540094297102338792048842007654486987513108141219242520439074860067791572114971742036578602e-169) /*ldexp(T(1), -560)*/, SC_(2.1382117680737565169124291737211855030521575040840389583695499937283189127897042869363986028474755585193634e-50) /*ldexp(T(1), -165)*/, SC_(1.57079632679489661923132169163975144209858469968756130722545) } },
+        { { SC_(2.6497349136889904540094297102338792048842007654486987513108141219242520439074860067791572114971742036578602e-169) /*ldexp(T(1), -560)*/, SC_(-2.1382117680737565169124291737211855030521575040840389583695499937283189127897042869363986028474755585193634e-50) /*-ldexp(T(1), -165)*/, SC_(1.57079632679489661923132169163975144209858469968754451374949) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-4.14951556888099295851240786369116115101244623224243689999565732969065281141290814639970704894710379428819788e180) /*T(-ldexp(T(1), 600))*/ : SC_(0.0), SC_(0.5), std::numeric_limits<T>::max_exponent > 600 ? SC_(7.71118598318249916481121898327895181916104121635240801895419e-91) : SC_(1.68575035481259604287120365779907698950080089414108904411995) } },
+    } };
+
+    do_test_ellint_pi2<T>(data2, type_name, "Complete Elliptic Integral PI: Mathworld Data");
+
+#include "ellint_pi2_data.ipp"
+
+    do_test_ellint_pi2<T>(ellint_pi2_data, type_name, "Complete Elliptic Integral PI: Random Data");
+
+    // Special cases, exceptions etc:
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(2.1), T(-1), T(0.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(20), T(1.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1.0001), T(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(-2)), std::domain_error);
+}
diff --git a/src/boost/libs/math/test/test_ellint_d.cpp b/src/boost/libs/math/test/test_ellint_d.cpp
new file mode 100644
index 00000000..5e76a49f
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_d.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_d.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_d.hpp b/src/boost/libs/math/test/test_ellint_d.hpp
new file mode 100644
index 00000000..46ec86b8
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_d.hpp
@@ -0,0 +1,124 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_d2(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D2_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_D2_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_D2_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_d", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_d1(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_D1_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_D1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_d<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_d;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_d (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 11> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.040348098248931543984282958654503585) } },
+        {{ SC_(0), SC_(0.5), SC_(0) }},
+        { { SC_(1), SC_(0.5), SC_(0.28991866293419922467977188008516755) } },
+        { { SC_(1), T(1), SC_(0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(1), SC_(-0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(0.5), SC_(-0.28991866293419922467977188008516755) } },
+        { { SC_(-10), T(0.5), SC_(-5.2996914501577855803123384771117708) } },
+        { { SC_(10), SC_(-0.5), SC_(5.2996914501577855803123384771117708) } },
+        { { SC_(0.125), SC_(1.5), SC_(0.000655956467603362564458676111698495009248974444516843) } },
+    }};
+
+    do_test_ellint_d2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d2_data.ipp"
+
+    do_test_ellint_d2<T>(ellint_d2_data, type_name, "Elliptic Integral D: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 2>, 3> data2 = {{
+       { { SC_(0.5), SC_(0.87315258189267554964563356323264341) } },
+       { { SC_(1.0) / 1024, SC_(0.78539844427788694671464428063604776) } },
+       { { boost::math::tools::root_epsilon<T>(), SC_(0.78539816339744830961566084581987572) } }
+    }};
+
+    do_test_ellint_d1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d_data.ipp"
+
+    do_test_ellint_d1<T>(ellint_d_data, type_name, "Elliptic Integral D: Random Data");
+
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_erf.cpp b/src/boost/libs/math/test/test_erf.cpp
new file mode 100644
index 00000000..8fed443a
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf.cpp
@@ -0,0 +1,296 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_erf.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions erf, erfc, and the inverses
+// erf_inv and erfc_inv.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*Large.*",      // test data group
+      "erfc", 4300, 1300);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc", 40, 10);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 20, 6);   // test function
+   add_expected_result(
+      ".*",                           // compiler
+      ".*",                           // stdlib
+      ".*",                           // platform
+      "real_concept",                 // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 2, 2);   // test function
+   add_expected_result(
+      ".*aCC.*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erf.*",               // test data group
+      "erfc?_inv", 18, 4);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+
+   expected_results();
+
+   test_erf(0.1F, "float");
+   test_erf(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_erf(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_erf(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+/*
+
+Output:
+
+test_erf.cpp
+Compiling manifest to resources...
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_erf.exe"
+Running 1 test case...
+Testing basic sanity checks for type float
+Testing basic sanity checks for type double
+Testing basic sanity checks for type long double
+Testing basic sanity checks for type real_concept
+Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
+Testing Erf Function: Small Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Medium Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Large Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Inverse Erf Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<float> Max = 0 RMS Mean=0
+Testing Inverse Erfc Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<float> Max = 0 RMS Mean=0
+Testing Erf Function: Small Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<long double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<long double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<long double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 1.271 RMS Mean=0.5381
+    worst case at row: 144
+    { 0.0109, 0.0123, 0.9877 }
+boost::math::erfc<real_concept> Max = 0.7857 RMS Mean=0.07777
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 22.5 RMS Mean=4.224
+    worst case at row: 233
+    { -0.7852, -0.7332, 1.733 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+boost::math::erfc<real_concept> Max = 97.77 RMS Mean=8.373
+    worst case at row: 289
+    { 0.9849, 0.8363, 0.1637 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+Mean error greater than expected value of 6
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(151): error in "test_main_caller( argc, argv )": check bounds.second >= mean_error_found failed
+Testing Erf Function: Large Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 0 RMS Mean=0
+boost::math::erfc<real_concept> Max = 1.395 RMS Mean=0.2908
+    worst case at row: 11
+    { 10.99, 1, 1.87e-054 }
+Testing Inverse Erf Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<real_concept> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<real_concept> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Test suite "Test Program" failed with:
+  181 assertions out of 184 passed
+  3 assertions out of 184 failed
+  1 test case out of 1 failed
+  Test case "test_main_caller( argc, argv )" failed with:
+    181 assertions out of 184 passed
+    3 assertions out of 184 failed
+Build Time 0:15
+
+*/
diff --git a/src/boost/libs/math/test/test_erf.hpp b/src/boost/libs/math/test/test_erf.hpp
new file mode 100644
index 00000000..be4d64f6
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf.hpp
@@ -0,0 +1,215 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_erf(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef ERF_FUNCTION_TO_TEST
+   pg funcp = ERF_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erf<value_type>;
+#else
+   pg funcp = boost::math::erf;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test erf against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf", test_name);
+#endif
+   //
+   // test erfc against data:
+   //
+#ifdef ERFC_FUNCTION_TO_TEST
+   funcp = ERFC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::erfc<value_type>;
+#else
+   funcp = boost::math::erfc;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_erf_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test erf_inv against data:
+   //
+#ifdef ERF_INV_FUNCTION_TO_TEST
+   pg funcp = ERF_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erf_inv<value_type>;
+#else
+   pg funcp = boost::math::erf_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf_inv", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_erfc_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test erfc_inv against data:
+   //
+#ifdef ERFC_INV_FUNCTION_TO_TEST
+   pg funcp = ERFC_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erfc_inv<value_type>;
+#else
+   pg funcp = boost::math::erfc_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc_inv", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_erf(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "erf_small_data.ipp"
+
+   do_test_erf<T>(erf_small_data, name, "Erf Function: Small Values");
+
+#  include "erf_data.ipp"
+
+   do_test_erf<T>(erf_data, name, "Erf Function: Medium Values");
+
+#  include "erf_large_data.ipp"
+
+   do_test_erf<T>(erf_large_data, name, "Erf Function: Large Values");
+
+#  include "erf_inv_data.ipp"
+
+   do_test_erf_inv<T>(erf_inv_data, name, "Inverse Erf Function");
+
+#  include "erfc_inv_data.ipp"
+
+   do_test_erfc_inv<T>(erfc_inv_data, name, "Inverse Erfc Function");
+
+#  include "erfc_inv_big_data.ipp"
+
+   if(std::numeric_limits<T>::min_exponent <= -4500)
+   {
+      do_test_erfc_inv<T>(erfc_inv_big_data, name, "Inverse Erfc Function: extreme values");
+   }
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.125)), static_cast<T>(0.85968379519866618260697055347837660181302041685015L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.5)), static_cast<T>(0.47950012218695346231725334610803547126354842424204L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(1)), static_cast<T>(0.15729920705028513065877936491739074070393300203370L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(5)), static_cast<T>(1.5374597944280348501883434853833788901180503147234e-12L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.125)), static_cast<T>(1.1403162048013338173930294465216233981869795831498L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.5)), static_cast<T>(1.5204998778130465376827466538919645287364515757580L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0)), static_cast<T>(1), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.125)), static_cast<T>(0.14031620480133381739302944652162339818697958314985L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.5)), static_cast<T>(0.52049987781304653768274665389196452873645157575796L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(1)), static_cast<T>(0.84270079294971486934122063508260925929606699796630L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(5)), static_cast<T>(0.9999999999984625402055719651498116565146166211099L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.125)), static_cast<T>(-0.14031620480133381739302944652162339818697958314985L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.5)), static_cast<T>(-0.52049987781304653768274665389196452873645157575796L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0)), static_cast<T>(0), tolerance);
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 200; // 200 eps %.
+#if defined(__CYGWIN__)
+   // some platforms long double is only reliably accurate to double precision:
+   if(sizeof(T) == sizeof(long double))
+      tolerance = boost::math::tools::epsilon<double>() * 100 * 200; // 200 eps %.
+#endif
+
+   for(T i = -0.95f; i < 1; i += 0.125f)
+   {
+      T inv = boost::math::erf_inv(i);
+      T b = boost::math::erf(inv);
+      BOOST_CHECK_CLOSE(b, i, tolerance);
+   }
+   for(T j = 0.125f; j < 2; j += 0.125f)
+   {
+      T inv = boost::math::erfc_inv(j);
+      T b = boost::math::erfc(inv);
+      BOOST_CHECK_CLOSE(b, j, tolerance);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_erf_hooks.hpp b/src/boost/libs/math/test/test_erf_hooks.hpp
new file mode 100644
index 00000000..e1c42af5
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf_hooks.hpp
@@ -0,0 +1,105 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+
+#ifdef TEST_NATIVE
+namespace other{
+inline float erf(float a)
+{
+   return ::erff(a);
+}
+inline float erfc(float a)
+{
+   return ::erfcf(a);
+}
+inline double erf(double a)
+{
+   return ::erf(a);
+}
+inline double erfc(double a)
+{
+   return ::erfc(a);
+}
+inline long double erf(long double a)
+{
+   return ::erfl(a);
+}
+inline long double erfc(long double a)
+{
+   return ::erfcl(a);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double erf(double);
+   float erff(float);
+   long double erfl(long double);
+}
+inline float erf(float a)
+{ return erff(a); }
+inline long double erf(long double a)
+{
+#ifdef BOOST_MSVC
+   return erf((double)a); 
+#else
+   return erfl(a); 
+#endif
+}
+extern "C" {
+   double erfc(double);
+   float erfcf(float);
+   long double erfcl(long double);
+}
+inline float erfc(float a)
+{ return erfcf(a); }
+inline long double erfc(long double a)
+{
+#ifdef BOOST_MSVC
+   return erfc((double)a); 
+#else
+   return erfcl(a); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_erf.h>
+
+namespace other{
+inline float erf(float a)
+{ return (float)gsl_sf_erf(a); }
+inline double erf(double a)
+{ return gsl_sf_erf(a); }
+inline long double erf(long double a)
+{ return gsl_sf_erf(a); }
+inline float erfc(float a)
+{ return (float)gsl_sf_erfc(a); }
+inline double erfc(double a)
+{ return gsl_sf_erfc(a); }
+inline long double erfc(long double a)
+{ return gsl_sf_erfc(a); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept erf(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept erfc(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_error_handling.cpp b/src/boost/libs/math/test/test_error_handling.cpp
new file mode 100644
index 00000000..400a1647
--- /dev/null
+++ b/src/boost/libs/math/test/test_error_handling.cpp
@@ -0,0 +1,470 @@
+// Copyright Paul A. Bristow 2006-7.
+// Copyright John Maddock 2006-7.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Test error handling mechanism produces the expected error messages.
+// for example Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+
+// Define some custom dummy error handlers that do nothing but throw,
+// in order to check that they are otherwise undefined.
+// The user MUST define them before they can be used.
+//
+struct user_defined_error{};
+
+namespace boost{ namespace math{ namespace policies{
+
+#ifndef BOOST_NO_EXCEPTIONS
+
+template <class T>
+T user_domain_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_pole_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_overflow_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_underflow_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_denorm_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_evaluation_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_indeterminate_result_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+#endif
+}}} // namespaces
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <cerrno> // for errno
+#include <iostream>
+#include <iomanip>
+//
+// Define some policies:
+//
+using namespace boost::math::policies;
+policy<
+   domain_error<throw_on_error>,
+   pole_error<throw_on_error>,
+   overflow_error<throw_on_error>,
+   underflow_error<throw_on_error>,
+   denorm_error<throw_on_error>,
+   evaluation_error<throw_on_error>,
+   indeterminate_result_error<throw_on_error> > throw_policy;
+policy<
+   domain_error<errno_on_error>,
+   pole_error<errno_on_error>,
+   overflow_error<errno_on_error>,
+   underflow_error<errno_on_error>,
+   denorm_error<errno_on_error>,
+   evaluation_error<errno_on_error>,
+   indeterminate_result_error<errno_on_error> > errno_policy;
+policy<
+   domain_error<ignore_error>,
+   pole_error<ignore_error>,
+   overflow_error<ignore_error>,
+   underflow_error<ignore_error>,
+   denorm_error<ignore_error>,
+   evaluation_error<ignore_error>,
+   indeterminate_result_error<ignore_error> > ignore_policy;
+policy<
+   domain_error<user_error>,
+   pole_error<user_error>,
+   overflow_error<user_error>,
+   underflow_error<user_error>,
+   denorm_error<user_error>,
+   evaluation_error<user_error>,
+   indeterminate_result_error<user_error> > user_policy;
+policy<> default_policy;
+
+#define TEST_EXCEPTION(expression, exception, msg)\
+   BOOST_MATH_CHECK_THROW(expression, exception);\
+   try{ expression; }catch(const exception& e){ std::cout << e.what() << std::endl; BOOST_CHECK_EQUAL(std::string(e.what()), std::string(msg)); }
+
+template <class T>
+std::string format_message_string(const char* str)
+{
+   std::string type_name = boost::math::policies::detail::name_of<T>();
+   std::string result(str);
+   if(type_name != "float")
+   {
+      std::string::size_type pos = 0;
+      while((pos = result.find("float", pos)) != std::string::npos)
+      {
+         result.replace(pos, 5, type_name);
+         pos += type_name.size();
+      }
+   }
+   return result;
+}
+
+template <class T>
+void test_error(T)
+{
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+   const char* msg2 = "Error message goes here...";
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, msg2, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, 0, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Overflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, msg2, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, 0, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Underflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, 0, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Denorm Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value 1.25"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_overflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_underflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, ignore_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, ignore_policy), T(0));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, errno_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, errno_policy), T(0));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+template <class T>
+void test_complex_error(T)
+{
+   //
+   // Error handling that can be applied to non-scalar types such as std::complex
+   //
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+   const char* msg2 = "Error message goes here...";
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole (0,0)"));
+   //TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, msg2, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   //TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, 0, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Overflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, msg2, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, 0, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Underflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, 0, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Denorm Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value (1.25,0)"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   //BOOST_MATH_CHECK_THROW(boost::math::policies::raise_overflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_underflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   //BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, ignore_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, ignore_policy), T(0));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   //BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, errno_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   //BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, errno_policy), T(0));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+template <class T>
+void test_polynomial_error(T)
+{
+   //
+   // Error handling that can be applied to non-scalar types such as std::complex
+   //
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+
+   static const typename T::value_type data[] = { 1, 2, 3 };
+   static const T val(data, 2);
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, val, throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, val, throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, val, T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, val, T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value { 1, 2, 3 }"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Test error handling.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type FPT).
+   test_error(0.0F); // Test float.
+   test_error(0.0); // Test double.
+   test_error(0.0L); // Test long double.
+   test_error(boost::math::concepts::real_concept(0.0L)); // Test concepts.
+
+   // try complex numbers too:
+   test_complex_error(std::complex<float>(0));
+   test_complex_error(std::complex<double>(0));
+   test_complex_error(std::complex<long double>(0));
+
+   test_polynomial_error(boost::math::tools::polynomial<float>());
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_error_handling.exe"
+Running 1 test case...
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Overflow Error
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Underflow Error
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Denorm Error
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+Error in function boost::math::test_function<double>(double, double, double): Domain Error evaluating function at 0
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+Error in function boost::math::test_function<double>(double, double, double): Evaluation of function at pole 0
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Overflow Error
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Underflow Error
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Denorm Error
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+Error in function boost::math::test_function<double>(double, double, double): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Domain Error evaluating function at 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Evaluation of function at pole 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Overflow Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Underflow Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Denorm Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+Error in function boost::math::test_function<long double>(long double, long double, long double): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Domain Error evaluating function at 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Evaluation of function at pole 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Overflow Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Underflow Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Denorm Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Internal Evaluation Error, best value so far was 1.25
+*** No errors detected
+
+VS 2010
+------ Rebuild All started: Project: test_error_handling, Configuration: Release Win32 ------
+  test_error_handling.cpp
+  Generating code
+  Finished generating code
+  test_error_handling.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_error_handling.exe
+  Running 1 test case...
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+  Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+  Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Overflow Error
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Underflow Error
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Denorm Error
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+  Error in function boost::math::test_function<double>(double, double, double): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+  Error in function boost::math::test_function<double>(double, double, double): Evaluation of function at pole 0
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Overflow Error
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Underflow Error
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Denorm Error
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Evaluation of function at pole 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Overflow Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Underflow Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Denorm Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Evaluation of function at pole 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Overflow Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Underflow Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Denorm Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+  
+  *** No errors detected
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Indeterminate result with value 1.25
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_expint.cpp b/src/boost/libs/math/test/test_expint.cpp
new file mode 100644
index 00000000..3f44a809
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint.cpp
@@ -0,0 +1,147 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_expint.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the expint functions. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      "float|double|long double",    // test type(s)
+      ".*E1.*",                      // test data group
+      ".*", 30, 10);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      "float|double|long double|real_concept",    // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 300, 200);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 15);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double|long double",    // test type(s)
+      ".*E1.*",                      // test data group
+      ".*", 2, 1);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double|long double",    // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 6, 3);                   // test function
+   if(std::numeric_limits<long double>::digits > 100)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                // test type(s)
+         ".*Ei.*",                      // test data group
+         ".*", 150, 50);                // test function
+   }
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 150, 50);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 25, 5);                   // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   boost::math::expint(114.7);
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_expint(0.1F, "float");
+   test_expint(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_expint(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_expint(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_expint.hpp b/src/boost/libs/math/test/test_expint.hpp
new file mode 100644
index 00000000..491db2fc
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint.hpp
@@ -0,0 +1,194 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T expint_wrapper(T n, T z)
+{
+#ifdef EN_FUNCTION_TO_TEST
+   return EN_FUNCTION_TO_TEST(
+      boost::math::itrunc(n), z);
+#else
+   return boost::math::expint(
+      boost::math::itrunc(n), z);
+#endif
+}
+
+template <class Real, class T>
+void do_test_expint(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EN_FUNCTION_TO_TEST))
+   //
+   // test En(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = expint_wrapper<value_type>;
+#else
+   pg funcp = expint_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test expint against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expint (En)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_expint_Ei(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EI_FUNCTION_TO_TEST))
+   //
+   // test Ei(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#ifdef EI_FUNCTION_TO_TEST
+   pg funcp = EI_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::expint<value_type>;
+#else
+   pg funcp = boost::math::expint;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test expint against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expint (Ei)", test_name);
+#endif
+}
+
+template <class T>
+void test_expint(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "expint_data.ipp"
+   do_test_expint<T>(expint_data, name, "Exponential Integral En");
+#include "expint_small_data.ipp"
+   do_test_expint<T>(expint_small_data, name, "Exponential Integral En: small z values");
+#include "expint_1_data.ipp"
+   do_test_expint<T>(expint_1_data, name, "Exponential Integral E1");
+#include "expinti_data.ipp"
+   do_test_expint_Ei<T>(expinti_data, name, "Exponential Integral Ei");
+
+   if(boost::math::tools::log_max_value<T>() > 100)
+   {
+#include "expinti_data_double.ipp"
+      do_test_expint_Ei<T>(expinti_data_double, name, "Exponential Integral Ei: double exponent range");
+   }
+#if (defined(LDBL_MAX_10_EXP) && (LDBL_MAX_10_EXP > 2000)) || defined(TEST_UDT)
+   if(boost::math::tools::log_max_value<T>() > 1000)
+   {
+#include "expinti_data_long.ipp"
+      do_test_expint_Ei<T>(expinti_data_long, name, "Exponential Integral Ei: long exponent range");
+   }
+#endif
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is 100 epsilon 
+   // expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 500 : 500);
+   //
+   // En:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(1)/1024), static_cast<T>(1023.0004881223430781283448725609773366468629307172L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(0.125F)), static_cast<T>(7.0599752206767632229191371458324058897760385999252L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(0.5F)), static_cast<T>(1.2130613194252668472075990699823609068838362709744L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(1.5F)), static_cast<T>(0.14875344009895321928885364717600834756144775290739L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(4.5F)), static_cast<T>(0.0024686658973871792213651409526512283936753927790603L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(50.0F)), static_cast<T>(3.8574996959278355660346856330540251495056653024605e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(1)/1024), static_cast<T>(6.3552324648310718026144555193580322129376300855378L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(0.125F)), static_cast<T>(1.6234256405841687914563069246244088736331060573721L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(0.5F)), static_cast<T>(0.55977359477616081174679593931508523522684689031635L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(1.5F)), static_cast<T>(0.10001958240663265190190933991166697826173000614035L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(4.5F)), static_cast<T>(0.0020734007547146144328855938695797884889319725701443L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(50.0F)), static_cast<T>(3.7832640295504590186989678540212857803028931862511e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(1)/1024), static_cast<T>(0.99281763247803906867747111039220635198625517639812L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(0.125F)), static_cast<T>(0.67956869751157430393285377765099962701786656781914L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(0.5F)), static_cast<T>(0.32664386232455301773040156533363783582849469032901L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(1.5F)), static_cast<T>(0.073100786538480851080416460896512053949576620150553L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(4.5F)), static_cast<T>(0.0017786931420265415481579618738214795713453909401220L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(50.0F)), static_cast<T>(3.7117833188688273667858889516369684601386058104706e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(1)/1024), static_cast<T>(0.24967471743034509414923673526350536071348482068601L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(0.125F)), static_cast<T>(0.21195078838966585733668853784460504343264488743527L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(0.5F)), static_cast<T>(0.13097731169586484777931864012654136046214618229236L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(1.5F)), static_cast<T>(0.038529924425495155395971538166055731456940831714065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(4.5F)), static_cast<T>(0.0012311157382296328534406162790653865883418172939975L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(50.0F)), static_cast<T>(3.5124400631332394056901125740903320085753990490695e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(1)/1024), static_cast<T>(0.047570244582119027573000641518739337055625638422014L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(0.125F)), static_cast<T>(0.041762730174712898120606793100375713866392079558609L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(0.5F)), static_cast<T>(0.028178840877963713109230354192609362941651630844684L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(1.5F)), static_cast<T>(0.0098864453561701486668317763826728620676449196215016L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(4.5F)), static_cast<T>(0.00043257793497205419001613830279995985617548506505159L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(50.0F)), static_cast<T>(2.6900194251201629500599598206345018300567305625080e-24L), tolerance);
+   //
+   // Ei:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(1)/1024), static_cast<T>(-6.35327933972759151358547423727042905862963067106751711596065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(0.125)), static_cast<T>(-1.37320852494298333781545045921206470808223543321810480716122L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(0.5)), static_cast<T>(0.454219904863173579920523812662802365281405554352642045162818L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(1)), static_cast<T>(1.89511781635593675546652093433163426901706058173270759164623L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(50.5)), static_cast<T>(1.72763195602911805201155668940185673806099654090456049881069e20L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-1)/1024), static_cast<T>(-6.35523246483107180261445551935803221293763008553775821607264L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-0.125)), static_cast<T>(-1.62342564058416879145630692462440887363310605737209536579267L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-0.5)), static_cast<T>(-0.559773594776160811746795939315085235226846890316353515248293L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-1)), static_cast<T>(-0.219383934395520273677163775460121649031047293406908207577979L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-50.5)), static_cast<T>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_expint_hooks.hpp b/src/boost/libs/math/test/test_expint_hooks.hpp
new file mode 100644
index 00000000..89b5fc89
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint_hooks.hpp
@@ -0,0 +1,94 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double expn(int, double);
+   float expnf(int, float);
+   long double expnl(int, long double);
+}
+inline float expint(unsigned n, float a)
+{ return expnf(n, a); }
+inline double expint(unsigned n, double a)
+{ return expn(n, a); }
+inline long double expint(unsigned n, long double a)
+{
+#ifdef BOOST_MSVC
+   return expn(n, (double)a); 
+#else
+   return expnl(n, a); 
+#endif
+}
+// Ei is not supported:
+template <class T>
+inline T expint(T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_expint.h>
+
+namespace other{
+inline float expint(float a)
+{ return (float)gsl_sf_expint_Ei(a); }
+inline double expint(double a)
+{ return gsl_sf_expint_Ei(a); }
+inline long double expint(long double a)
+{ return gsl_sf_expint_Ei(a); }
+// En is not supported:
+template <class T>
+inline T expint(unsigned, T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_SPECFUN
+namespace other{
+extern "C" int calcei_(double *arg, double *result, int*);
+inline float expint(float a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return (float)r;
+}
+inline double expint(double a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return r;
+}
+inline long double expint(long double a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return r;
+}
+// En is not supported:
+template <class T>
+inline T expint(unsigned, T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept expint(unsigned, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept expint(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_exponential_dist.cpp b/src/boost/libs/math/test/test_exponential_dist.cpp
new file mode 100644
index 00000000..7dc5f6c2
--- /dev/null
+++ b/src/boost/libs/math/test/test_exponential_dist.cpp
@@ -0,0 +1,303 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_exponential_dist.cpp
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/exponential.hpp>
+    using boost::math::exponential_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType l, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         exponential_distribution<RealType>(l),      
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(exponential_distribution<RealType>(l),      
+         x)),
+         q,
+         tolerance); // %
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            exponential_distribution<RealType>(l),      
+            p),
+            x,
+            tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(exponential_distribution<RealType>(l),      
+            q)),
+            x,
+            tolerance); // %
+   }
+}
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data: obtained by punching
+   // numbers into a calculator).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 50 * 100; 
+   // #  pragma warning(disable: 4100) // unreferenced formal parameter.
+   // prevent his spurious warning.
+   if (T != 0)
+   {
+     cout << "Expect parameter T == 0!" << endl;
+   }
+    cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   test_spot(
+      static_cast<RealType>(0.5), // lambda
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.060586937186524213880289175377695L), // p
+      static_cast<RealType>(0.93941306281347578611971082462231L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // lambda
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.91791500137610120483047132553284L), // p
+      static_cast<RealType>(0.08208499862389879516952867446716L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.22119921692859513175482973302168L), // p
+      static_cast<RealType>(0.77880078307140486824517026697832L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.99995460007023751514846440848444L), // p
+      static_cast<RealType>(4.5399929762484851535591515560551e-5L), //q
+      tolerance);
+
+   //
+   // Some spot tests generated by MathCAD pexp(x,r):
+   //
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(6.321205588285580E-001L), // p
+      static_cast<RealType>(1-6.321205588285580E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(8.646647167633870E-001L), // p
+      static_cast<RealType>(1-8.646647167633870E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.5), // x
+      static_cast<RealType>(3.934693402873670E-001L), // p
+      static_cast<RealType>(1-3.934693402873670E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.1), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(9.516258196404040E-002L), // p
+      static_cast<RealType>(1-9.516258196404040E-002L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(10), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(9.999546000702380E-001L), // p
+      static_cast<RealType>(1-9.999546000702380E-001L), //q
+      tolerance*10000); // we loose four digits to cancellation
+   test_spot(
+      static_cast<RealType>(0.1), // lambda
+      static_cast<RealType>(10), // x
+      static_cast<RealType>(6.321205588285580E-001L), // p
+      static_cast<RealType>(1-6.321205588285580E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.01), // x
+      static_cast<RealType>(9.950166250831950E-003L), // p
+      static_cast<RealType>(1-9.950166250831950E-003L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.0001), // x
+      static_cast<RealType>(9.999500016666250E-005L), // p
+      static_cast<RealType>(1-9.999500016666250E-005L), //q
+      tolerance);
+   /*
+   // This test data appears to be erroneous, MathCad appears
+   // to suffer from cancellation error as x -> 0
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.0000001), // x
+      static_cast<RealType>(9.999999499998730E-008L), // p
+      static_cast<RealType>(1-9.999999499998730E-008L), //q
+      tolerance);
+   */   
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(0.5),      
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.46970653140673789305985541231115L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(0.5),      
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(0.04104249931194939758476433723358L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(2),      
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(1.5576015661428097364903405339566L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(2),      
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(9.0799859524969703071183031121101e-5L),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(0.5),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::standard_deviation(
+         exponential_distribution<RealType>(2)), 
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(0),           
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         exponential_distribution<RealType>(4)),
+         static_cast<RealType>(0.693147180559945309417232121458176568075500134360255254) / 4,           
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(2),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(9),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(6),           
+         tolerance); // %
+
+   //
+   // Things that are errors:
+   //
+   exponential_distribution<RealType> dist(0.5);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       pdf(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(exponential_distribution<RealType>(-1), RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)),
+       std::domain_error);
+
+   check_out_of_range<exponential_distribution<RealType> >(2);
+   BOOST_MATH_CHECK_THROW(exponential_distribution<RealType>(0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(exponential_distribution<RealType>(-1), std::domain_error);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(exponential_distribution<RealType>(2), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(exponential_distribution<RealType>(2), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(exponential_distribution<RealType>(2), inf)), 0);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate exponential distribution using the two convenience methods:
+   boost::math::exponential mycexp1(1.); // Using typedef
+   exponential_distribution<> myexp2(1.); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_extreme_value.cpp b/src/boost/libs/math/test/test_extreme_value.cpp
new file mode 100644
index 00000000..2729e3bb
--- /dev/null
+++ b/src/boost/libs/math/test/test_extreme_value.cpp
@@ -0,0 +1,247 @@
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_extreme_value.cpp
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/extreme_value.hpp>
+    using boost::math::extreme_value_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType a, RealType b, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         extreme_value_distribution<RealType>(a, b),      
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(extreme_value_distribution<RealType>(a, b),      
+         x)),
+         q,
+         tolerance); // %
+   if((p < 0.999) && (p > 0))
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            extreme_value_distribution<RealType>(a, b),      
+            p),
+            x,
+            tolerance); // %
+   }
+   if((q < 0.999) && (q > 0))
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(extreme_value_distribution<RealType>(a, b),      
+            q)),
+            x,
+            tolerance); // %
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks.
+   // 50eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 50 * 100;  
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // Results calculated by punching numbers into a calculator,
+   // and using the formula at http://mathworld.wolfram.com/ExtremeValueDistribution.html
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(1.5), // b
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.27692033409990891617007608217222L), // p
+      static_cast<RealType>(0.72307966590009108382992391782778L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(2), // b
+      static_cast<RealType>(-5), // x
+      static_cast<RealType>(1.6087601139887776413169427645933e-7L), // p
+      static_cast<RealType>(0.99999983912398860112223586830572L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(0.25), // b
+      static_cast<RealType>(0.75), // x
+      static_cast<RealType>(0.69220062755534635386542199718279L), // p
+      static_cast<RealType>(0.30779937244465364613457800281721), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(0.25), // b
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.99999998477002037126351248727041L), // p
+      static_cast<RealType>(1.5229979628736487512729586276294e-8L), //q
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(0.5, 2),      
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.18052654830890205978204427757846L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(1, 3),      
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(0.0675057324099851209129017326286L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(1, 3),      
+         static_cast<RealType>(0)),              // x
+         static_cast<RealType>(0.11522236828583456431277265757312L),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(3.731646994704598581819536270246L),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::standard_deviation(
+         extreme_value_distribution<RealType>(1, 0.5)), 
+         static_cast<RealType>(0.6412749150809320477720181798355L),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(2),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         extreme_value_distribution<RealType>(0, 1)),
+         static_cast<RealType>(+0.36651292058166432701243915823266946945426344783710526305367771367056),           
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(1.1395470994046486574927930193898461120875997958366L),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(5.4),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(2.4),           
+         tolerance); // %
+
+   //
+   // Things that are errors:
+   //
+   extreme_value_distribution<RealType> dist(0.5, 2);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(0.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(1.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(extreme_value_distribution<RealType>(0, -1), RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)),
+       std::domain_error);
+   check_out_of_range<extreme_value_distribution<RealType> >(1, 2);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(extreme_value_distribution<RealType>(), -inf), 0);
+      BOOST_CHECK_EQUAL(pdf(extreme_value_distribution<RealType>(), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(extreme_value_distribution<RealType>(), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(extreme_value_distribution<RealType>(), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), -inf)), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), inf)), 0);
+   }
+   //
+   // Bug reports:
+   //
+   // https://svn.boost.org/trac/boost/ticket/10938:
+   BOOST_CHECK_CLOSE(
+   ::boost::math::pdf(
+      extreme_value_distribution<RealType>(0, 1),
+      static_cast<RealType>(-1000)),              // x
+      static_cast<RealType>(0),                // probability.
+      tolerance); // %
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can generate extreme_value distribution using the two convenience methods:
+   boost::math::extreme_value mycev1(1.); // Using typedef
+   extreme_value_distribution<> myev2(1.); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+-Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+*/
+
+
diff --git a/src/boost/libs/math/test/test_factorials.cpp b/src/boost/libs/math/test/test_factorials.cpp
new file mode 100644
index 00000000..851f6462
--- /dev/null
+++ b/src/boost/libs/math/test/test_factorials.cpp
@@ -0,0 +1,386 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4245) // int/unsigned int conversion
+#endif
+
+// Return infinities not exceptions:
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/factorials.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+
+template <class T>
+T naive_falling_factorial(T x, unsigned n)
+{
+   if(n == 0)
+      return 1;
+   T result = x;
+   while(--n)
+   {
+      x -= 1;
+      result *= x;
+   }
+   return result;
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks.
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 * 2;  // 2 eps as a percent.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+
+   //
+   // Try some double factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(2),
+      static_cast<T>(2), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(5),
+      static_cast<T>(15), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(10),
+      static_cast<T>(3840), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(19),
+      static_cast<T>(6.547290750e8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(24),
+      static_cast<T>(1.961990553600000e12L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(33),
+      static_cast<T>(6.33265987076285062500000e18L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(42),
+      static_cast<T>(1.0714547155728479551488000000e26L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(47),
+      static_cast<T>(1.19256819277443412353990764062500000e30L), tolerance);
+
+   if((std::numeric_limits<T>::has_infinity) && (std::numeric_limits<T>::max_exponent <= 1024))
+   {
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(320),
+         std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(301),
+         std::numeric_limits<T>::infinity());
+   }
+   //
+   // Rising factorials:
+   //
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   if(std::numeric_limits<T>::is_specialized == 0)
+      tolerance *= 5;  // higher error rates without Lanczos support
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(3), 4),
+      static_cast<T>(360), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(7), -4),
+      static_cast<T>(0.00277777777777777777777777777777777777777777777777777777777778L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), 8),
+      static_cast<T>(5.58187566784927180664062500e16L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), -4),
+      static_cast<T>(5.15881498170104646868208445266116850161120996179812063177241e-9L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), 8),
+      static_cast<T>(3.92974581976666067544013393509103775024414062500000e29L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), -7),
+      static_cast<T>(1.28674092710208810281923019294164707555099052561945725535047e-26L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), 21),
+      static_cast<T>(3.93286957998925490693364184100209193343633629069699964020401e33L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), -21),
+      static_cast<T>(3.35010902064291983728782493133164809108646650368560147505884e-27L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 21),
+      static_cast<T>(-9.76168312768123676601980433377916854311706629232503473758698e26L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -21),
+      static_cast<T>(-1.50079704000923674318934280259377728203516775215430875839823e-34L), 2 * tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 5),
+      static_cast<T>(-1.78799177197265625000000e7L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -5),
+      static_cast<T>(-2.47177487004482195012362027432181137141899692171397467859150e-8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 6),
+      static_cast<T>(4.5146792242309570312500000e8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -6),
+      static_cast<T>(6.81868929667537089689274558433603136943171564610751635473516e-10L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3), 6),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), 6),
+      static_cast<T>(2.99926757812500L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 6),
+      static_cast<T>(50.987548828125000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 13),
+      static_cast<T>(127230.91046623885631561279296875000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), -6),
+      static_cast<T>(0.0000129609865918182348202632178291407500332449622510474437452125L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -6),
+      static_cast<T>(2.50789821857946332294524052303699065683926911849535903362649e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -13),
+      static_cast<T>(-1.38984989447269128946284683518361786049649013886981662962096e-14L), tolerance);
+   //
+   // More cases reported as bugs by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(0), 1), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(0), -1), static_cast<T>(-1));
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(0.5f), -1), static_cast<T>(-2), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(40.5), -41), static_cast<T>(-2.75643016796662963097096639854040835565778207128865739e-47L), tolerance);
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-2), 3), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-2), 2), static_cast<T>(2));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-4), 3), static_cast<T>(-24));
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(-4), -3), static_cast<T>(-0.00476190476190476190476190476190476190476190476190476190476L), tolerance);
+   if(ldexp(T(1), -150) != 0)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), 0), static_cast<T>(1), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -1), static_cast<T>(-1.00000000000000000000000000000000000000000000070064923216241L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -2), static_cast<T>(0.500000000000000000000000000000000000000000000525486924121806L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -25), static_cast<T>(-6.44695028438447339619485321920468720529890442766578870603544e-26L), 15 * tolerance);
+      if(std::numeric_limits<T>::min_exponent10 < -50)
+      {
+         BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -40), static_cast<T>(1.22561743912838584942353998493975692372556196815242899727910e-48L), tolerance);
+      }
+   }
+
+   //
+   // Falling factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 0),
+      static_cast<T>(naive_falling_factorial(30.25L, 0)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 1),
+      static_cast<T>(naive_falling_factorial(30.25L, 1)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 2),
+      static_cast<T>(naive_falling_factorial(30.25L, 2)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 5),
+      static_cast<T>(naive_falling_factorial(30.25L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 22),
+      static_cast<T>(naive_falling_factorial(30.25L, 22)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(100.5), 6),
+      static_cast<T>(naive_falling_factorial(100.5L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.75), 30),
+      static_cast<T>(naive_falling_factorial(30.75L, 30)),
+      tolerance * 3);
+   if(boost::math::policies::digits<T, boost::math::policies::policy<> >() > 50)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75L), 30),
+         static_cast<T>(naive_falling_factorial(-30.75L, 30)),
+         tolerance * 3);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75L), 27),
+         static_cast<T>(naive_falling_factorial(-30.75L, 27)),
+         tolerance * 3);
+   }
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12.0), 6),
+      static_cast<T>(naive_falling_factorial(-12.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12), 5),
+      static_cast<T>(naive_falling_factorial(-12.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3.0), 6),
+      static_cast<T>(naive_falling_factorial(-3.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3), 5),
+      static_cast<T>(naive_falling_factorial(-3.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.0), 6),
+      static_cast<T>(naive_falling_factorial(3.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3), 5),
+      static_cast<T>(naive_falling_factorial(3.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 4),
+      static_cast<T>(naive_falling_factorial(3.25L, 4)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 5),
+      static_cast<T>(naive_falling_factorial(3.25L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 6),
+      static_cast<T>(naive_falling_factorial(3.25L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 7),
+      static_cast<T>(naive_falling_factorial(3.25L, 7)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(8.25), 12),
+      static_cast<T>(naive_falling_factorial(8.25L, 12)),
+      tolerance);
+   //
+   // More cases reported as bugs by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::falling_factorial(static_cast<T>(0), 1), static_cast<T>(0));
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-2), 3), static_cast<T>(-24), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-2), 2), static_cast<T>(6), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-4), 3), static_cast<T>(-120), tolerance);
+   if(ldexp(static_cast<T>(1), -100) != 0)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 1), static_cast<T>(7.888609052210118054117285652827862296732064351090230047e-31L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 2), static_cast<T>(-7.88860905221011805411728565282163928145420320938308598e-31L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 3), static_cast<T>(1.577721810442023610823457130563705554763054527705902790e-30L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 35), static_cast<T>(2.32897613101315187323300837924676081371219290005311315885e8L), 35 * tolerance);
+   }
+   if((ldexp(static_cast<T>(1), -300) != 0) && (std::numeric_limits<T>::max_exponent10 > 290))
+   {
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -300), 20), static_cast<T>(-5.97167167502482975928590631196751639118233432208390100e-74L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -300), 200), static_cast<T>(-1.93579759151806711025267355739174942986011285920860098569075e282L), 10 * tolerance);
+   }
+
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   unsigned i = boost::math::max_factorial<T>::value;
+   if((boost::is_floating_point<T>::value) && (sizeof(T) <= sizeof(double)))
+   {
+      // Without Lanczos support, tgamma isn't accurate enough for this test:
+      BOOST_CHECK_CLOSE(
+         ::boost::math::unchecked_factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+   }
+
+   i += 10;
+   while(boost::math::lgamma(static_cast<T>(i+1)) < boost::math::tools::log_max_value<T>())
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+      i += 10;
+   }
+} // template <class T> void test_spots(T)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F);
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   if (std::numeric_limits<double>::digits == std::numeric_limits<long double>::digits)
+   {
+     cout << "Types double and long double have the same number of floating-point significand bits ("
+       << std::numeric_limits<long double>::digits << ") on this platform." << endl;
+   }
+   if (std::numeric_limits<float>::digits == std::numeric_limits<double>::digits)
+   {
+     cout << "Types float and double have the same number of floating-point significand bits ("
+       << std::numeric_limits<double>::digits << ") on this platform." << endl;
+   }
+
+   using boost::math::max_factorial;
+   cout << "max factorial for float "  << max_factorial<float>::value  << endl;
+   cout << "max factorial for double "  << max_factorial<double>::value  << endl;
+   cout << "max factorial for long double "  << max_factorial<long double>::value  << endl;
+   cout << "max factorial for real_concept "  << max_factorial<boost::math::concepts::real_concept>::value  << endl;
+
+
+
+   
+}
+
+/*
+
+Output is:
+
+Running 1 test case...
+Types double and long double have the same number of floating-point significand bits (53) on this platform.
+max factorial for float 34
+max factorial for double 170
+max factorial for long double 170
+max factorial for real_concept 100
+*** No errors detected
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_find_location.cpp b/src/boost/libs/math/test/test_find_location.cpp
new file mode 100644
index 00000000..e689351d
--- /dev/null
+++ b/src/boost/libs/math/test/test_find_location.cpp
@@ -0,0 +1,177 @@
+// test_find_location.cpp
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for find_location function.
+
+// Default domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <pch.hpp>
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // Default type double.
+  using boost::math::normal_distribution; // All floating-point types.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy;
+#include <boost/math/distributions/pareto.hpp> // for cauchy_distribution
+  using boost::math::pareto;
+#include <boost/math/distributions/find_location.hpp>
+  using boost::math::find_location;
+  using boost::math::complement;// will be needed by users who want complement,
+#include <boost/math/policies/policy.hpp>
+  using boost::math::policies::policy;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+#include <iomanip>
+  using std::cout; using std::endl; using std::fixed;
+  using std::right; using std::left; using std::showpoint;
+  using std::showpos; using std::setw; using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100; // 100 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  BOOST_MATH_CHECK_THROW( // Probability outside 0 to 1.
+       find_location<normal_distribution<RealType> >(
+       static_cast<RealType>(0.), static_cast<RealType>(-1.), static_cast<RealType>(0.) ),
+       std::domain_error);
+  
+  normal_distribution<RealType> n; // standard N(0,1)
+  BOOST_CHECK_EQUAL(n.location(), 0); // aka mean.
+  BOOST_CHECK_EQUAL(n.scale(), 1); // aka standard_deviation.
+
+   // Check for 'bad' arguments.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., 0.), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., 2., 0.), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::infinity(), 0.5, 0.),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::quiet_NaN(), -1., 0.),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., numeric_limits<double>::quiet_NaN()),
+    std::domain_error); // scale not finite
+
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., 2., 0.)), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), 0.5, 0.)),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::quiet_NaN(), -1., 0.)),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., numeric_limits<double>::quiet_NaN())),
+    std::domain_error); // scale not finite
+
+  //// Check for ab-use with unsuitable distribution(s) when concept check implemented.
+  // BOOST_MATH_CHECK_THROW(find_location<pareto>(0., 0.5, 0.), std::domain_error); // pareto can't be used with find_location.
+
+  // Check doesn't throw when an ignore_error for domain_error policy is used.
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+  // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // Using a typedef is convenient, especially if it is re-used.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_NO_THROW(find_location<normal>(0, -1, 1,
+    ignore_domain_policy())); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_location<normal>(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy())); // z not finite.
+
+  BOOST_CHECK_NO_THROW(find_location<normal>(complement(0, -1, 1,
+    ignore_domain_policy()))); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy()))); // z not finite.
+#endif
+  // Find location to give a probability p (0.05) of z (-2)
+  RealType sd = static_cast<RealType>(1); // normal default standard deviation = 1.
+  RealType z = static_cast<RealType>(-2); // z to give prob p
+  RealType p = static_cast<RealType>(0.05); // only 5% will be below z
+  RealType l = find_location<normal_distribution<RealType> >(z, p, sd);
+  // cout << z << " " << p << " " << sd << " " << l << endl;
+
+  normal_distribution<RealType> np05pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted.
+  //  cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = "  << cdf(np05pc, z) << endl;
+  // Check cdf such that only fraction p really is below offset mean l. 
+  BOOST_CHECK_CLOSE_FRACTION(p, cdf(np05pc, z), tolerance);
+
+  // Check that some policies can be applied (though not used here).
+  l = find_location<normal_distribution<RealType> >(z, p, sd, policy<>()); // Default policy, needs using boost::math::policies::policy;
+  l = find_location<normal_distribution<RealType> >(z, p, sd, boost::math::policies::policy<>()); // Default policy, fully specified.
+  l = find_location<normal_distribution<RealType> >(z, p, sd, ignore_domain_policy()); // find_location with new policy, using typedef.
+  l = find_location<normal_distribution<RealType> >(z, p, sd, policy<domain_error<ignore_error> >()); // New policy, without typedef.
+
+  // Check that can use the complement version.
+  RealType q = 1 - p; // complement.
+  // cout << "find_location<normal_distribution<RealType> >(complement(z, q, sd)) = " << endl;
+  l = find_location<normal_distribution<RealType> >(complement(z, q, sd));
+
+  normal_distribution<RealType> np95pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted
+  //  cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = "  << cdf(np95pc, z) << endl;
+  BOOST_CHECK_CLOSE_FRACTION(q, cdf(np95pc, z), tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_find_location.exe"
+Running 1 test case...
+Tolerance for type float is 1.19e-005 (or 0.00119%).
+Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_find_scale.cpp b/src/boost/libs/math/test/test_find_scale.cpp
new file mode 100644
index 00000000..05e423e2
--- /dev/null
+++ b/src/boost/libs/math/test/test_find_scale.cpp
@@ -0,0 +1,212 @@
+// test_find_scale.cpp
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for find_scale function.
+
+// Default distribution domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <pch.hpp>
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // Default type double.
+  using boost::math::normal_distribution; // All floating-point types.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy;
+#include <boost/math/distributions/pareto.hpp> // for cauchy_distribution
+  using boost::math::pareto;
+#include <boost/math/distributions/find_scale.hpp>
+  using boost::math::find_scale;
+  using boost::math::complement;// will be needed by users who want complement,
+#include <boost/math/policies/policy.hpp>
+  using boost::math::policies::policy;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+#include <iomanip>
+  using std::cout; using std::endl; using std::fixed;
+  using std::right; using std::left; using std::showpoint;
+  using std::showpos; using std::setw; using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100; // 100 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  BOOST_MATH_CHECK_THROW( // Probability outside 0 to 1.
+       find_scale<normal_distribution<RealType> >(
+       static_cast<RealType>(0.), static_cast<RealType>(-1.), static_cast<RealType>(0.) ),
+       std::domain_error);
+  
+  normal_distribution<RealType> n; // standard N(0,1)
+  BOOST_CHECK_EQUAL(n.location(), 0); // aka mean.
+  BOOST_CHECK_EQUAL(n.scale(), 1); // aka standard_deviation.
+
+   // Check for 'bad' arguments.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., -1., 0.), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., 2., 0.), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(numeric_limits<double>::infinity(), 0.5, 0.),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(numeric_limits<double>::quiet_NaN(), -1., 0.),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., -1., numeric_limits<double>::quiet_NaN()),
+    std::domain_error); // scale not finite
+
+
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., 2., 0.)), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(numeric_limits<double>::infinity(), 0.5, 0.)),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(numeric_limits<double>::quiet_NaN(), -1., 0.)),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., numeric_limits<double>::quiet_NaN())),
+    std::domain_error); // scale not finite
+
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+
+
+  // Check for ab-use with unsuitable distribution(s), for example,
+  // pareto distribution (and most others) can't be used with find_scale (or find_location)
+  // because they lack the scale and location attributes.
+  // BOOST_MATH_CHECK_THROW(find_scale<pareto>(0., 0.5, 0.), std::domain_error);
+  // correctly fails to compile in find_scale() at
+  // BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<Dist>::value); 
+
+  // Check doesn't throw when an ignore_error for domain_error policy is used.
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+  // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // Using a typedef is convenient, especially if it is re-used.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_NO_THROW(find_scale<normal>(0, -1, 1,
+    ignore_domain_policy())); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_scale<normal>(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy())); // z not finite.
+  BOOST_CHECK_NO_THROW(find_scale<normal>(complement(0, -1, 1, ignore_domain_policy()))); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_scale<normal>(complement(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy()))); // z not finite.
+#endif
+  RealType l = 0.; // standard normal distribution.
+  RealType sd = static_cast<RealType>(1); // normal default standard deviation = 1.
+  normal_distribution<RealType> n01(l, sd); // mean(location) = 0, standard_deviation (scale) = 1.
+  RealType z = static_cast<RealType>(-2); // z to give prob p
+  //cout << "Standard normal distribution with standard deviation = " << sd 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(n01, z) << endl;
+  // Standard normal distribution with standard deviation = 1 has fraction <= -2 = 0.0227501
+
+  //normal_distribution<RealType> np001pc(l, sd); // Same mean(location) but with standard_deviation (scale) changed.
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+
+  // Find scale to give a probability p (0.001) of z (-2)
+  RealType p = static_cast<RealType>(0.001); // only 0.1% to be below z (-2).
+  // location (mean) remains at zero.
+  RealType s = find_scale<normal_distribution<RealType> >(z, p, l);
+  //cout << "Mean " << l << ", z " << z << ",  p " << p
+  //  << ", sd " << sd << ", find_scale " << s 
+  //  << ", difference in sd " << s - sd << endl;
+  // Mean 0, z -2,  p 0.001, sd 1, find_scale 0.64720053440907599, difference in sd -0.352799
+
+  cout.precision(17);
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+
+  normal_distribution<RealType> np001pc(l, s); // Same mean(location) but with standard_deviation (scale) changed.
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+  // Normal distribution with standard deviation = 0.647201 has fraction <= -2 = 0.001
+
+  // Check cdf such that only fraction p really is below changed standard deviation s. 
+  BOOST_CHECK_CLOSE_FRACTION(p, cdf(np001pc, z), tolerance);
+
+  // Check that some policies can be applied (though results not used here).
+  s = find_scale<normal_distribution<RealType> >(z, p, l, policy<>()); // Default policy, needs using boost::math::policies::policy;
+  s = find_scale<normal_distribution<RealType> >(z, p, l, boost::math::policies::policy<>()); // Default policy, fully specified.
+  s = find_scale<normal_distribution<RealType> >(z, p, l, ignore_domain_policy()); // find_scale with new policy, using typedef.
+  s = find_scale<normal_distribution<RealType> >(z, p, l, policy<domain_error<ignore_error> >()); // New policy, without typedef.
+
+  // Check that can use the complement version too.
+  RealType q = 1 - p; // complement.
+  s = find_scale<normal_distribution<RealType> >(complement(z, q, l)); // Implicit default policy.
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+  s = find_scale<normal_distribution<RealType> >(complement(z, q, l, policy<>())); // Explicit default policy.
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+
+  normal_distribution<RealType> np95pc(l, s); // Same mean(location) but with new standard_deviation (scale).
+
+  //cout << "Mean " << l << ", z " << z << ",  q " << q
+  //<< ", sd " << sd << ", find_scale " << s 
+  //<< ", difference in sd " << s - sd << endl;
+
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+  BOOST_CHECK_CLOSE_FRACTION(q, cdf(complement(np95pc, z)), tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Basic sanity-check spot values.
+
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+    #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_find_scale.exe"
+Running 1 test case...
+Tolerance for type float is 1.19e-005 (or 0.00119%).
+Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+*** No errors detected
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_fisher_f.cpp b/src/boost/libs/math/test/test_fisher_f.cpp
new file mode 100644
index 00000000..19db2805
--- /dev/null
+++ b/src/boost/libs/math/test/test_fisher_f.cpp
@@ -0,0 +1,552 @@
+// test_fisher_squared.cpp
+
+// Copyright Paul A. Bristow 2006.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/fisher_f.hpp> // for fisher_f_distribution
+using boost::math::fisher_f_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType df1, RealType df2, RealType x)
+{
+   //
+   // Calculate the PDF naively using direct evaluation
+   // of equation 2 from http://mathworld.wolfram.com/F-Distribution.html
+   //
+   // Our actual PDF implementation uses a completely different method,
+   // so this is a good sanity check that our math is correct.
+   //
+   using namespace std; // For ADL of std functions.
+   RealType e = boost::math::lgamma((df1 + df2) / 2);
+   e += log(df1) * df1 / 2;
+   e += log(df2) * df2 / 2;
+   e += log(x) * ((df1 / 2) - 1);
+   e -= boost::math::lgamma(df1 / 2);
+   e -= boost::math::lgamma(df2 / 2);
+   e -= log(df2 + x * df1) * (df1 + df2) / 2;
+   return exp(e);
+}
+
+template <class RealType>
+void test_spot(
+     RealType df1,    // Degrees of freedom 1
+     RealType df2,    // Degrees of freedom 2
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::fisher_f_distribution<RealType> dist(df1, df2);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), naive_pdf(dist.degrees_of_freedom1(), dist.degrees_of_freedom2(), cs), tol);
+   if((P < 0.999) && (Q < 0.999))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol);
+   }
+}
+
+//
+// This test data is taken from the tables of upper
+// critical values of the F distribution available
+// at http://www.itl.nist.gov/div898/handbook/eda/section3/eda3673.htm
+//
+double q[] = { 0.10, 0.05, 0.025, 0.01, 0.001 };
+double upper_critical_values[][10] = {
+   { 161.448,199.500,215.707,224.583,230.162,233.986,236.768,238.882,240.543,241.882 },
+   { 18.513, 19.000, 19.164, 19.247, 19.296, 19.330, 19.353, 19.371, 19.385, 19.396 },
+   { 10.128,  9.552,  9.277,  9.117,  9.013,  8.941,  8.887,  8.845,  8.812,  8.786 },
+   { 7.709,  6.944,  6.591,  6.388,  6.256,  6.163,  6.094,  6.041,  5.999,  5.964 },
+   { 6.608,  5.786,  5.409,  5.192,  5.050,  4.950,  4.876,  4.818,  4.772,  4.735 },
+   { 5.987,  5.143,  4.757,  4.534,  4.387,  4.284,  4.207,  4.147,  4.099,  4.060 },
+   { 5.591,  4.737,  4.347,  4.120,  3.972,  3.866,  3.787,  3.726,  3.677,  3.637 },
+   { 5.318,  4.459,  4.066,  3.838,  3.687,  3.581,  3.500,  3.438,  3.388,  3.347 },
+   { 5.117,  4.256,  3.863,  3.633,  3.482,  3.374,  3.293,  3.230,  3.179,  3.137 },
+   { 4.965,  4.103,  3.708,  3.478,  3.326,  3.217,  3.135,  3.072,  3.020,  2.978 },
+   { 4.844,  3.982,  3.587,  3.357,  3.204,  3.095,  3.012,  2.948,  2.896,  2.854 },
+   { 4.747,  3.885,  3.490,  3.259,  3.106,  2.996,  2.913,  2.849,  2.796,  2.753 },
+   { 4.667,  3.806,  3.411,  3.179,  3.025,  2.915,  2.832,  2.767,  2.714,  2.671 },
+   { 4.600,  3.739,  3.344,  3.112,  2.958,  2.848,  2.764,  2.699,  2.646,  2.602 },
+   { 4.543,  3.682,  3.287,  3.056,  2.901,  2.790,  2.707,  2.641,  2.588,  2.544 },
+   { 4.494,  3.634,  3.239,  3.007,  2.852,  2.741,  2.657,  2.591,  2.538,  2.494 },
+   { 4.451,  3.592,  3.197,  2.965,  2.810,  2.699,  2.614,  2.548,  2.494,  2.450 },
+   { 4.414,  3.555,  3.160,  2.928,  2.773,  2.661,  2.577,  2.510,  2.456,  2.412 },
+   { 4.381,  3.522,  3.127,  2.895,  2.740,  2.628,  2.544,  2.477,  2.423,  2.378 },
+   { 4.351,  3.493,  3.098,  2.866,  2.711,  2.599,  2.514,  2.447,  2.393,  2.348 },
+   { 4.325,  3.467,  3.072,  2.840,  2.685,  2.573,  2.488,  2.420,  2.366,  2.321 },
+   { 4.301,  3.443,  3.049,  2.817,  2.661,  2.549,  2.464,  2.397,  2.342,  2.297 },
+   { 4.279,  3.422,  3.028,  2.796,  2.640,  2.528,  2.442,  2.375,  2.320,  2.275 },
+   { 4.260,  3.403,  3.009,  2.776,  2.621,  2.508,  2.423,  2.355,  2.300,  2.255 },
+   { 4.242,  3.385,  2.991,  2.759,  2.603,  2.490,  2.405,  2.337,  2.282,  2.236 },
+   { 4.225,  3.369,  2.975,  2.743,  2.587,  2.474,  2.388,  2.321,  2.265,  2.220 },
+   { 4.210,  3.354,  2.960,  2.728,  2.572,  2.459,  2.373,  2.305,  2.250,  2.204 },
+   { 4.196,  3.340,  2.947,  2.714,  2.558,  2.445,  2.359,  2.291,  2.236,  2.190 },
+   { 4.183,  3.328,  2.934,  2.701,  2.545,  2.432,  2.346,  2.278,  2.223,  2.177 },
+   { 4.171,  3.316,  2.922,  2.690,  2.534,  2.421,  2.334,  2.266,  2.211,  2.165 },
+   { 4.160,  3.305,  2.911,  2.679,  2.523,  2.409,  2.323,  2.255,  2.199,  2.153 },
+   { 4.149,  3.295,  2.901,  2.668,  2.512,  2.399,  2.313,  2.244,  2.189,  2.142 },
+   { 4.139,  3.285,  2.892,  2.659,  2.503,  2.389,  2.303,  2.235,  2.179,  2.133 },
+   { 4.130,  3.276,  2.883,  2.650,  2.494,  2.380,  2.294,  2.225,  2.170,  2.123 },
+   { 4.121,  3.267,  2.874,  2.641,  2.485,  2.372,  2.285,  2.217,  2.161,  2.114 },
+   { 4.113,  3.259,  2.866,  2.634,  2.477,  2.364,  2.277,  2.209,  2.153,  2.106 },
+   { 4.105,  3.252,  2.859,  2.626,  2.470,  2.356,  2.270,  2.201,  2.145,  2.098 },
+   { 4.098,  3.245,  2.852,  2.619,  2.463,  2.349,  2.262,  2.194,  2.138,  2.091 },
+   { 4.091,  3.238,  2.845,  2.612,  2.456,  2.342,  2.255,  2.187,  2.131,  2.084 },
+   { 4.085,  3.232,  2.839,  2.606,  2.449,  2.336,  2.249,  2.180,  2.124,  2.077 },
+   { 4.079,  3.226,  2.833,  2.600,  2.443,  2.330,  2.243,  2.174,  2.118,  2.071 },
+   { 4.073,  3.220,  2.827,  2.594,  2.438,  2.324,  2.237,  2.168,  2.112,  2.065 },
+   { 4.067,  3.214,  2.822,  2.589,  2.432,  2.318,  2.232,  2.163,  2.106,  2.059 },
+   { 4.062,  3.209,  2.816,  2.584,  2.427,  2.313,  2.226,  2.157,  2.101,  2.054 },
+   { 4.057,  3.204,  2.812,  2.579,  2.422,  2.308,  2.221,  2.152,  2.096,  2.049 },
+   { 4.052,  3.200,  2.807,  2.574,  2.417,  2.304,  2.216,  2.147,  2.091,  2.044 },
+   { 4.047,  3.195,  2.802,  2.570,  2.413,  2.299,  2.212,  2.143,  2.086,  2.039 },
+   { 4.043,  3.191,  2.798,  2.565,  2.409,  2.295,  2.207,  2.138,  2.082,  2.035 },
+   { 4.038,  3.187,  2.794,  2.561,  2.404,  2.290,  2.203,  2.134,  2.077,  2.030 },
+   { 4.034,  3.183,  2.790,  2.557,  2.400,  2.286,  2.199,  2.130,  2.073,  2.026 },
+   { 4.030,  3.179,  2.786,  2.553,  2.397,  2.283,  2.195,  2.126,  2.069,  2.022 },
+   { 4.027,  3.175,  2.783,  2.550,  2.393,  2.279,  2.192,  2.122,  2.066,  2.018 },
+   { 4.023,  3.172,  2.779,  2.546,  2.389,  2.275,  2.188,  2.119,  2.062,  2.015 },
+   { 4.020,  3.168,  2.776,  2.543,  2.386,  2.272,  2.185,  2.115,  2.059,  2.011 },
+   { 4.016,  3.165,  2.773,  2.540,  2.383,  2.269,  2.181,  2.112,  2.055,  2.008 },
+   { 4.013,  3.162,  2.769,  2.537,  2.380,  2.266,  2.178,  2.109,  2.052,  2.005 },
+   { 4.010,  3.159,  2.766,  2.534,  2.377,  2.263,  2.175,  2.106,  2.049,  2.001 },
+   { 4.007,  3.156,  2.764,  2.531,  2.374,  2.260,  2.172,  2.103,  2.046,  1.998 },
+   { 4.004,  3.153,  2.761,  2.528,  2.371,  2.257,  2.169,  2.100,  2.043,  1.995 },
+   { 4.001,  3.150,  2.758,  2.525,  2.368,  2.254,  2.167,  2.097,  2.040,  1.993 },
+   { 3.998,  3.148,  2.755,  2.523,  2.366,  2.251,  2.164,  2.094,  2.037,  1.990 },
+   { 3.996,  3.145,  2.753,  2.520,  2.363,  2.249,  2.161,  2.092,  2.035,  1.987 },
+   { 3.993,  3.143,  2.751,  2.518,  2.361,  2.246,  2.159,  2.089,  2.032,  1.985 },
+   { 3.991,  3.140,  2.748,  2.515,  2.358,  2.244,  2.156,  2.087,  2.030,  1.982 },
+   { 3.989,  3.138,  2.746,  2.513,  2.356,  2.242,  2.154,  2.084,  2.027,  1.980 },
+   { 3.986,  3.136,  2.744,  2.511,  2.354,  2.239,  2.152,  2.082,  2.025,  1.977 },
+   { 3.984,  3.134,  2.742,  2.509,  2.352,  2.237,  2.150,  2.080,  2.023,  1.975 },
+   { 3.982,  3.132,  2.740,  2.507,  2.350,  2.235,  2.148,  2.078,  2.021,  1.973 },
+   { 3.980,  3.130,  2.737,  2.505,  2.348,  2.233,  2.145,  2.076,  2.019,  1.971 },
+   { 3.978,  3.128,  2.736,  2.503,  2.346,  2.231,  2.143,  2.074,  2.017,  1.969 },
+   { 3.976,  3.126,  2.734,  2.501,  2.344,  2.229,  2.142,  2.072,  2.015,  1.967 },
+   { 3.974,  3.124,  2.732,  2.499,  2.342,  2.227,  2.140,  2.070,  2.013,  1.965 },
+   { 3.972,  3.122,  2.730,  2.497,  2.340,  2.226,  2.138,  2.068,  2.011,  1.963 },
+   { 3.970,  3.120,  2.728,  2.495,  2.338,  2.224,  2.136,  2.066,  2.009,  1.961 },
+   { 3.968,  3.119,  2.727,  2.494,  2.337,  2.222,  2.134,  2.064,  2.007,  1.959 },
+   { 3.967,  3.117,  2.725,  2.492,  2.335,  2.220,  2.133,  2.063,  2.006,  1.958 },
+   { 3.965,  3.115,  2.723,  2.490,  2.333,  2.219,  2.131,  2.061,  2.004,  1.956 },
+   { 3.963,  3.114,  2.722,  2.489,  2.332,  2.217,  2.129,  2.059,  2.002,  1.954 },
+   { 3.962,  3.112,  2.720,  2.487,  2.330,  2.216,  2.128,  2.058,  2.001,  1.953 },
+   { 3.960,  3.111,  2.719,  2.486,  2.329,  2.214,  2.126,  2.056,  1.999,  1.951 },
+   { 3.959,  3.109,  2.717,  2.484,  2.327,  2.213,  2.125,  2.055,  1.998,  1.950 },
+   { 3.957,  3.108,  2.716,  2.483,  2.326,  2.211,  2.123,  2.053,  1.996,  1.948 },
+   { 3.956,  3.107,  2.715,  2.482,  2.324,  2.210,  2.122,  2.052,  1.995,  1.947 },
+   { 3.955,  3.105,  2.713,  2.480,  2.323,  2.209,  2.121,  2.051,  1.993,  1.945 },
+   { 3.953,  3.104,  2.712,  2.479,  2.322,  2.207,  2.119,  2.049,  1.992,  1.944 },
+   { 3.952,  3.103,  2.711,  2.478,  2.321,  2.206,  2.118,  2.048,  1.991,  1.943 },
+   { 3.951,  3.101,  2.709,  2.476,  2.319,  2.205,  2.117,  2.047,  1.989,  1.941 },
+   { 3.949,  3.100,  2.708,  2.475,  2.318,  2.203,  2.115,  2.045,  1.988,  1.940 },
+   { 3.948,  3.099,  2.707,  2.474,  2.317,  2.202,  2.114,  2.044,  1.987,  1.939 },
+   { 3.947,  3.098,  2.706,  2.473,  2.316,  2.201,  2.113,  2.043,  1.986,  1.938 },
+   { 3.946,  3.097,  2.705,  2.472,  2.315,  2.200,  2.112,  2.042,  1.984,  1.936 },
+   { 3.945,  3.095,  2.704,  2.471,  2.313,  2.199,  2.111,  2.041,  1.983,  1.935 },
+   { 3.943,  3.094,  2.703,  2.470,  2.312,  2.198,  2.110,  2.040,  1.982,  1.934 },
+   { 3.942,  3.093,  2.701,  2.469,  2.311,  2.197,  2.109,  2.038,  1.981,  1.933 },
+   { 3.941,  3.092,  2.700,  2.467,  2.310,  2.196,  2.108,  2.037,  1.980,  1.932 },
+   { 3.940,  3.091,  2.699,  2.466,  2.309,  2.195,  2.106,  2.036,  1.979,  1.931 },
+   { 3.939,  3.090,  2.698,  2.465,  2.308,  2.194,  2.105,  2.035,  1.978,  1.930 },
+   { 3.938,  3.089,  2.697,  2.465,  2.307,  2.193,  2.104,  2.034,  1.977,  1.929 },
+   { 3.937,  3.088,  2.696,  2.464,  2.306,  2.192,  2.103,  2.033,  1.976,  1.928 },
+   { 3.936,  3.087,  2.696,  2.463,  2.305,  2.191,  2.103,  2.032,  1.975,  1.927 }
+};
+
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to three decimal places only
+  // so set tolerance to 0.002 expressed as a persentage.  Note that
+  // we can't even get full 3 digit accuracy since the data we're
+  // using as input has *already been rounded*, leading to even
+  // greater differences in output.  As an accuracy test this is
+  // pretty useless, but it is an excellent sanity check.
+
+  RealType tolerance = 0.002f * 100;
+  cout << "Tolerance = " << tolerance << "%." << endl;
+
+  using boost::math::fisher_f_distribution;
+  using  ::boost::math::fisher_f;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  for(unsigned i = 0; i < sizeof(upper_critical_values) / sizeof(upper_critical_values[0]); ++i)
+  {
+     for(unsigned j = 0; j < sizeof(upper_critical_values[0])/sizeof(upper_critical_values[0][0]); ++j)
+     {
+        test_spot(
+           static_cast<RealType>(j+1),   // degrees of freedom 1
+           static_cast<RealType>(i+1),   // degrees of freedom 2
+           static_cast<RealType>(upper_critical_values[i][j]), // test statistic F
+           static_cast<RealType>(0.95),       // Probability of result (CDF), P
+           static_cast<RealType>(0.05),       // Q = 1 - P
+           tolerance);
+     }
+  }
+
+   // http://www.vias.org/simulations/simusoft_distcalc.html
+   // Distcalc version 1.2 Copyright 2002 H Lohninger, TU Wein
+   // H.Lohninger: Teach/Me Data Analysis, Springer-Verlag, Berlin-New York-Tokyo, 1999. ISBN 3-540-14743-8
+   // The Windows calculator is available zipped distcalc.exe for download at:
+   // http://www.vias.org/simulations/simu_stat.html
+
+   // This interactive Windows program was used to find some combination for which the
+   // result appears to be exact.  No doubt this can be done analytically too,
+   // by mathematicians!
+
+   // Some combinations for which the result is 'exact', or at least is to 40 decimal digits.
+   // 40 decimal digits includes 128-bit significand User Defined Floating-Point types.
+   // These all pass tests at near epsilon accuracy for the floating-point type.
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100;
+   cout << "Tolerance = " << tolerance << "%." << endl;
+   BOOST_CHECK_CLOSE(
+      cdf(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(2.)/static_cast<RealType>(3.) ),  // F
+      static_cast<RealType>(0.5), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.6L))),  // F
+      static_cast<RealType>(0.333333333333333333333333333333333333L), // probability.
+      tolerance * 100); // needs higher tolerance at 128-bit precision - value not exact?
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(6.5333333333333333333333333333333333L))),  // F
+      static_cast<RealType>(0.125L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.))),  // F
+      static_cast<RealType>(0.5L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(3.))),  // F
+      static_cast<RealType>(0.25L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(3.))),  // F
+      static_cast<RealType>(0.25L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(7.))),  // F
+      static_cast<RealType>(0.125L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(9.))),  // F
+      static_cast<RealType>(0.1L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(19.))),  // F
+      static_cast<RealType>(0.05L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(29.))),  // F
+      static_cast<RealType>(0.03333333333333333333333333333333333333333L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(99.))),  // F
+      static_cast<RealType>(0.01L), // probability. 
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(4.),  // df1
+         static_cast<RealType>(4.)),  // df2
+         static_cast<RealType>(9.))),  // F
+      static_cast<RealType>(0.028L), // probability. 
+      tolerance*10);   // not quite exact???
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(8.),  // df1
+         static_cast<RealType>(8.)),  // df2
+         static_cast<RealType>(1.))),  // F
+      static_cast<RealType>(0.5L), // probability. 
+      tolerance);
+
+// Inverse tests
+
+      BOOST_CHECK_CLOSE(
+      quantile(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(0.03333333333333333333333333333333333333333L))),  // probability
+      static_cast<RealType>(29.), // F expected.
+      tolerance*10);
+
+      BOOST_CHECK_CLOSE(
+      quantile(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.0L - 0.03333333333333333333333333333333333333333L)),  // probability
+      static_cast<RealType>(29.), // F expected.
+      tolerance*10);
+
+
+// Also note limit cases for F(1, infinity) == normal distribution
+// F(1, n2) == Student's t distribution
+// F(n1, infinity) == Chisq distribution
+
+// These might allow some further cross checks?
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a percent
+    cout << "Tolerance = " << tol2 << "%." << endl;
+    fisher_f_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(6));
+    RealType x = 7;
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(6)/static_cast<RealType>(4), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(2 * 6 * 6 * (8 + 6 - 2)) / static_cast<RealType>(8 * 16 * 2), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , sqrt(static_cast<RealType>(2 * 6 * 6 * (8 + 6 - 2)) / static_cast<RealType>(8 * 16 * 2)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(6*6)/static_cast<RealType>(8*8), tol2);
+
+    fisher_f_distribution<RealType> dist2(static_cast<RealType>(8), static_cast<RealType>(12));
+    BOOST_CHECK_CLOSE(
+       skewness(dist2)
+       , static_cast<RealType>(26 * sqrt(64.0L)) / (12*6), tol2);
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist2)
+       , static_cast<RealType>(6272) * 12 / 3456, tol2);
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist2)
+       , static_cast<RealType>(6272) * 12 / 3456 + 3, tol2);
+    // special cases:
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+          static_cast<RealType>(0)), std::overflow_error
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0))
+       , static_cast<RealType>(1.0f));
+    BOOST_CHECK_EQUAL(
+       pdf(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(1, 1), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(1, 1), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(1, -1),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(8, 2),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          fisher_f_distribution<RealType>(-1, 1),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          fisher_f_distribution<RealType>(8, 4),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          fisher_f_distribution<RealType>(8, 4),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(0.5)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(1.1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(2, -1),
+          static_cast<RealType>(0.5))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(1.1))), std::domain_error
+       );
+   check_out_of_range<fisher_f_distribution<RealType> >(2, 3);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can generate fisher distribution using the two convenience methods:
+   boost::math::fisher_f myf1(1., 2); // Using typedef
+   fisher_f_distribution<> myf2(1., 2); // Using default RealType double.
+
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_fisher.exe"
+Running 1 test case...
+Tolerance = 0.2%.
+Tolerance = 5.96046e-005%.
+Tolerance = 5.96046e-005%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+*** No errors detected
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_gamma.cpp b/src/boost/libs/math/test/test_gamma.cpp
new file mode 100644
index 00000000..8ecfd5c1
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma.cpp
@@ -0,0 +1,340 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_gamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions tgamma and lgamma, and the 
+// function tgamma1pm1.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // G++ on Darwin: results are just slightly worse than we might hope for
+   // but still pretty good:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   //
+   // G++ On Win32:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200);  // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 200, 100);  // test function
+   //
+   // G++ on Linux, result vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 30, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 50, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 50, 15);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 300, 150);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 40, 10);  // test function
+   //
+   // HP-UX results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 5, 4);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 250, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 200, 80);  // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 100); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 150); // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 4, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 9, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 200, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 14, 7);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 30, 9);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 200, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 300, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "lgamma", 40000000, 10000000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 20, 5);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_gamma(0.1F, "float");
+#endif
+   test_gamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_gamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_gamma.hpp b/src/boost/libs/math/test/test_gamma.hpp
new file mode 100644
index 00000000..e94d3b9a
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma.hpp
@@ -0,0 +1,337 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_gamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && (!defined(TGAMMA_FUNCTION_TO_TEST) || !defined(LGAMMA_FUNCTION_TO_TEST)))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma<value_type>;
+#else
+   pg funcp = boost::math::tgamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma", test_name);
+   //
+   // test lgamma against data:
+   //
+#ifdef LGAMMA_FUNCTION_TO_TEST
+   funcp = LGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::lgamma<value_type>;
+#else
+   funcp = boost::math::lgamma;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "lgamma", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_gammap1m1(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA1PM1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA1PM1_FUNCTION_TO_TEST
+   pg funcp = TGAMMA1PM1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma1pm1<value_type>;
+#else
+   pg funcp = boost::math::tgamma1pm1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma1pm1 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma1pm1", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value, gamma and lgamma:
+   //
+   // gamma and lgamma at integer and half integer values:
+   // boost::array<boost::array<T, 3>, N> factorials;
+   //
+   // gamma and lgamma for z near 0:
+   // boost::array<boost::array<T, 3>, N> near_0;
+   //
+   // gamma and lgamma for z near 1:
+   // boost::array<boost::array<T, 3>, N> near_1;
+   //
+   // gamma and lgamma for z near 2:
+   // boost::array<boost::array<T, 3>, N> near_2;
+   //
+   // gamma and lgamma for z near -10:
+   // boost::array<boost::array<T, 3>, N> near_m10;
+   //
+   // gamma and lgamma for z near -55:
+   // boost::array<boost::array<T, 3>, N> near_m55;
+   //
+   // The last two cases are chosen more or less at random,
+   // except that one is even and the other odd, and both are
+   // at negative poles.  The data near zero also tests near
+   // a pole, the data near 1 and 2 are to probe lgamma as
+   // the result -> 0.
+   //
+#  include "test_gamma_data.ipp"
+
+   do_test_gamma<T>(factorials, name, "factorials");
+   do_test_gamma<T>(near_0, name, "near 0");
+   do_test_gamma<T>(near_1, name, "near 1");
+   do_test_gamma<T>(near_2, name, "near 2");
+   do_test_gamma<T>(near_m10, name, "near -10");
+   do_test_gamma<T>(near_m55, name, "near -55");
+
+   //
+   // And now tgamma1pm1 which computes gamma(1+dz)-1:
+   //
+   do_test_gammap1m1<T>(gammap1m1_data, name, "tgamma1pm1(dz)");
+}
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   BOOST_MATH_STD_USING
+   
+   std::cout << "Testing type " << name << std::endl;
+   //
+   // basic sanity checks, tolerance is 50 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 5000;
+   //
+   // Extra tolerance for real_concept checks which use less accurate code:
+   //
+   T extra_tol = boost::is_floating_point<T>::value ? 1 : 20;
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(3.5)), static_cast<T>(3.3233509704478425511840640312646472177454052302295L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.125)), static_cast<T>(7.5339415987976119046992298412151336246104195881491L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-0.125)), static_cast<T>(-8.7172188593831756100190140408231437691829605421405L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-3.125)), static_cast<T>(1.1668538708507675587790157356605097019141636072094L), tolerance);
+   // Lower tolerance on this one, is only really needed on Linux x86 systems, result is mostly down to std lib accuracy:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-53249.0 / 1024)), static_cast<T>(-1.2646559519067605488251406578743995122462767733517e-65L), tolerance * 3);
+
+   // Very small values, from a bug report by Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -12)), static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -14)), static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L), tolerance * 2);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -25)), static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -27)), static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -29)), static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -35)), static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -54)), static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -64)), static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -66)), static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -33)), static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(4 / boost::math::tools::max_value<T>()), boost::math::tools::max_value<T>() / 4, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -12)), static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -14)), static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L), tolerance * 2);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -34)), static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -54)), static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -64)), static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -66)), static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -33)), static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 / boost::math::tools::max_value<T>()), -boost::math::tools::max_value<T>() / 4, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -22)), static_cast<T>(-4.19430442278467170746130758391572421252211886167956799318843e6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -22)), static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -20)), static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L), tolerance * extra_tol);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -20)), static_cast<T>(-43690.6039118698506165317137699180871126338425941292693705533L), tolerance * extra_tol);
+   if(boost::math::tools::digits<T>() > 50)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -44)), static_cast<T>(-1.75921860444164227843350985473932247549232492467032584051825e13L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -44)), static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -44)), static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L), tolerance * extra_tol);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -44)), static_cast<T>(-7.33007751850603911763815347967171096249288790373790093559568e11L), tolerance * extra_tol);
+   }
+   if(boost::math::tools::digits<T>() > 60)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -55)), static_cast<T>(-3.60287970189639684227843350984671785799289582631555600561524e16L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -55)), static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L), tolerance * 3);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -55)), static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L), tolerance * extra_tol);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -55)), static_cast<T>(-1.50119987579016527057843048200831672241827850458884790004313e15L), tolerance * extra_tol);
+   }
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   // Test bug fixes in tgamma:
+   if(std::numeric_limits<T>::max_exponent10 > 244)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(142.75)), static_cast<T>(7.8029496083318133344429227511387928576820621466e244L), tolerance * 4);
+   }
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   int sign = 1;
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(3.5), &sign), static_cast<T>(1.2009736023470742248160218814507129957702389154682L), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(0.125), &sign), static_cast<T>(2.0194183575537963453202905211670995899482809521344L), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-0.125), &sign), static_cast<T>(2.1653002489051702517540619481440174064962195287626L), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-3.125), &sign), static_cast<T>(0.1543111276840418242676072830970532952413339012367L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-53249.0 / 1024), &sign), static_cast<T>(-149.43323093420259741100038126078721302600128285894L), tolerance);
+   BOOST_CHECK(sign == -1);
+   // Very small values, from a bug report by Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -12), &sign), log(static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -14), &sign), log(static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -25), &sign), log(static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -27), &sign), log(static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -29), &sign), log(static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -35), &sign), log(static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -54), &sign), log(static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -64), &sign), log(static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -66), &sign), log(static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -33), &sign), log(static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -12), &sign), log(-static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -14), &sign), log(-static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -25), &sign), log(-static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -27), &sign), log(-static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -29), &sign), log(-static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -34), &sign), log(-static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -54), &sign), log(-static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -64), &sign), log(-static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -66), &sign), log(-static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -33), &sign), log(-static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430442278467170746130758391572421252211886167956799318843e6L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L)), tolerance * extra_tol);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.6039118698506165317137699180871126338425941292693705533L)), tolerance * extra_tol);
+   BOOST_CHECK(sign == -1);
+   if(boost::math::tools::digits<T>() > 50)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444164227843350985473932247549232492467032584051825e13L)), tolerance);
+      BOOST_CHECK(sign == -1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L)), tolerance);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850603911763815347967171096249288790373790093559568e11L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == -1);
+   }
+   if(boost::math::tools::digits<T>() > 60)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639684227843350984671785799289582631555600561524e16L)), tolerance);
+      BOOST_CHECK(sign == -1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L)), tolerance);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016527057843048200831672241827850458884790004313e15L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == -1);
+   }
+
+   if(std::numeric_limits<T>::has_denorm && std::numeric_limits<T>::has_infinity && (boost::math::isinf)(1 / std::numeric_limits<T>::denorm_min()))
+   {
+      BOOST_CHECK_EQUAL(boost::math::tgamma(-std::numeric_limits<T>::denorm_min()), -std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(boost::math::tgamma(std::numeric_limits<T>::denorm_min()), std::numeric_limits<T>::infinity());
+   }
+   //
+   // Extra large values for lgamma, see https://github.com/boostorg/math/issues/242
+   //
+   if (boost::math::tools::digits<T>() >= std::numeric_limits<double>::digits)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 32)), static_cast<T>(2.7719825960021351251696385101478518546793793286704974382373670822285114741208958e27L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 62)), static_cast<T>(4.0411767712186990905102512019058204792570873633363159e36L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 326)), static_cast<T>(3.9754720509185529233002820161357111676582583112671658e116L), tolerance);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_gamma_data.ipp b/src/boost/libs/math/test/test_gamma_data.ipp
new file mode 100644
index 00000000..faf3d15a
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_data.ipp
@@ -0,0 +1,568 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 198> factorials = { {
+      {{ SC_(1.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(2.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(3.0), SC_(2.0), SC_(0.6931471805599453094172321214581765680755) }},
+      {{ SC_(4.0), SC_(6.0), SC_(1.791759469228055000812477358380702272723) }},
+      {{ SC_(5.0), SC_(24.0), SC_(3.178053830347945619646941601297055408874) }},
+      {{ SC_(6.0), SC_(120.0), SC_(4.7874917427820459942477009345232430484) }},
+      {{ SC_(7.0), SC_(720.0), SC_(6.579251212010100995060178292903945321123) }},
+      {{ SC_(8.0), SC_(5040.0), SC_(8.52516136106541430016553103634712505076) }},
+      {{ SC_(9.0), SC_(40320.0), SC_(10.60460290274525022841722740072165475499) }},
+      {{ SC_(10.0), SC_(362880.0), SC_(12.80182748008146961120771787456670616428) }},
+      {{ SC_(11.0), SC_(3628800.0), SC_(15.10441257307551529522570932925107037188) }},
+      {{ SC_(12.0), SC_(39916800.0), SC_(17.5023078458738858392876529072161996717) }},
+      {{ SC_(13.0), SC_(479001600.0), SC_(19.9872144956618861495173623870550785125) }},
+      {{ SC_(14.0), SC_(6227020800.0), SC_(22.55216385312342288557084982862039711731) }},
+      {{ SC_(15.0), SC_(87178291200.0), SC_(25.19122118273868150009343469352175341502) }},
+      {{ SC_(16.0), SC_(1307674368000.0), SC_(27.89927138384089156608943926367046675919) }},
+      {{ SC_(17.0), SC_(20922789888000.0), SC_(30.6718601060806728037583677495031730315) }},
+      {{ SC_(18.0), SC_(355687428096000.0), SC_(33.50507345013688888400790236737629956708) }},
+      {{ SC_(19.0), SC_(6402373705728000.0), SC_(36.39544520803305357621562496267952754445) }},
+      {{ SC_(20.0), SC_(121645100408832000.0), SC_(39.33988418719949403622465239456738108169) }},
+      {{ SC_(21.0), SC_(0.243290200817664e19), SC_(42.33561646075348502965987597070992185737) }},
+      {{ SC_(22.0), SC_(0.5109094217170944e20), SC_(45.38013889847690802616047395107562729165) }},
+      {{ SC_(23.0), SC_(0.112400072777760768e22), SC_(48.47118135183522387963964965049893315955) }},
+      {{ SC_(24.0), SC_(0.2585201673888497664e23), SC_(51.60667556776437357044640248230912927799) }},
+      {{ SC_(25.0), SC_(0.62044840173323943936e24), SC_(54.78472939811231919009334408360618468687) }},
+      {{ SC_(26.0), SC_(0.15511210043330985984e26), SC_(58.00360522298051993929486275005855996592) }},
+      {{ SC_(27.0), SC_(0.403291461126605635584e27), SC_(61.2617017610020019847655823130820551388) }},
+      {{ SC_(28.0), SC_(0.10888869450418352160768e29), SC_(64.55753862700633105895131802384963225274) }},
+      {{ SC_(29.0), SC_(0.304888344611713860501504e30), SC_(67.88974313718153498289113501020916511853) }},
+      {{ SC_(30.0), SC_(0.8841761993739701954543616e31), SC_(71.25703896716800901007440704257107672402) }},
+      {{ SC_(31.0), SC_(0.26525285981219105863630848e33), SC_(74.65823634883016438548764373417796663627) }},
+      {{ SC_(32.0), SC_(0.822283865417792281772556288e34), SC_(78.09222355331531063141680805872032384672) }},
+      {{ SC_(33.0), SC_(0.26313083693369353016721801216e36), SC_(81.5579594561150371785029686660112066871) }},
+      {{ SC_(34.0), SC_(0.868331761881188649551819440128e37), SC_(85.05446701758151741396015748089886169157) }},
+      {{ SC_(35.0), SC_(0.29523279903960414084761860964352e39), SC_(88.58082754219767880362692422023016479523) }},
+      {{ SC_(36.0), SC_(0.103331479663861449296666513375232e41), SC_(92.13617560368709248333303629689953216439) }},
+      {{ SC_(37.0), SC_(0.3719933267899012174679994481508352e42), SC_(95.71969454214320248495799101366093670984) }},
+      {{ SC_(38.0), SC_(0.137637530912263450463159795815809024e44), SC_(99.33061245478742692932608668469238387374) }},
+      {{ SC_(39.0), SC_(0.5230226174666011117600072241000742912e45), SC_(102.9681986145138126987523462380384139791) }},
+      {{ SC_(40.0), SC_(0.203978820811974433586402817399028973568e47), SC_(106.6317602606434591262010789165262582885) }},
+      {{ SC_(41.0), SC_(0.815915283247897734345611269596115894272e48), SC_(110.3206397147573954290535346141269756323) }},
+      {{ SC_(42.0), SC_(0.3345252661316380710817006205344075166515e50), SC_(114.0342117814617032329202979871643832206) }},
+      {{ SC_(43.0), SC_(0.1405006117752879898543142606244511569936e52), SC_(117.771881399745071538838128088988265223) }},
+      {{ SC_(44.0), SC_(0.6041526306337383563735513206851399750726e53), SC_(121.5330815154386339623109706023341122586) }},
+      {{ SC_(45.0), SC_(0.265827157478844876804362581101461589032e55), SC_(125.3172711493568951252073784232155946945) }},
+      {{ SC_(46.0), SC_(0.1196222208654801945619631614956577150644e57), SC_(129.1239336391272148825986282302868337433) }},
+      {{ SC_(47.0), SC_(0.5502622159812088949850305428800254892962e58), SC_(132.9525750356163098828226131835552064299) }},
+      {{ SC_(48.0), SC_(0.2586232415111681806429643551536119799692e60), SC_(136.8027226373263684696435638533273801388) }},
+      {{ SC_(49.0), SC_(0.1241391559253607267086228904737337503852e62), SC_(140.6739236482342593987077375760826121157) }},
+      {{ SC_(50.0), SC_(0.6082818640342675608722521633212953768876e63), SC_(144.565743946344886008918443062968971575) }},
+      {{ SC_(51.0), SC_(0.3041409320171337804361260816606476884438e65), SC_(148.4777669517730320675371938508795234221) }},
+      {{ SC_(52.0), SC_(0.1551118753287382280224243016469303211063e67), SC_(152.4095925844973578391819737056751756623) }},
+      {{ SC_(53.0), SC_(0.8065817517094387857166063685640376697529e68), SC_(156.3608363030787851940699253901568474033) }},
+      {{ SC_(54.0), SC_(0.427488328406002556429801375338939964969e70), SC_(160.3311282166309070282143945291859051737) }},
+      {{ SC_(55.0), SC_(0.2308436973392413804720927426830275810833e72), SC_(164.3201122631951814118173623614116588557) }},
+      {{ SC_(56.0), SC_(0.1269640335365827592596510084756651695958e74), SC_(168.327445448427652330480065272602975795) }},
+      {{ SC_(57.0), SC_(0.7109985878048634518540456474637249497365e75), SC_(172.3527971391628015638371143804206852289) }},
+      {{ SC_(58.0), SC_(0.4052691950487721675568060190543232213498e77), SC_(176.3958484069973517152413870492310644708) }},
+      {{ SC_(59.0), SC_(0.2350561331282878571829474910515074683829e79), SC_(180.4562914175437710518418912030511526443) }},
+      {{ SC_(60.0), SC_(0.1386831185456898357379390197203894063459e81), SC_(184.5338288614494905024579415767708502684) }},
+      {{ SC_(61.0), SC_(0.8320987112741390144276341183223364380754e82), SC_(188.6281734236715911872884103898359167487) }},
+      {{ SC_(62.0), SC_(0.507580213877224798800856812176625227226e84), SC_(192.7390472878449024360397994932615314951) }},
+      {{ SC_(63.0), SC_(0.3146997326038793752565312235495076408801e86), SC_(196.8661816728899939913861959392620652736) }},
+      {{ SC_(64.0), SC_(0.1982608315404440064116146708361898137545e88), SC_(201.0093163992815266792820391565502964125) }},
+      {{ SC_(65.0), SC_(0.1268869321858841641034333893351614808029e90), SC_(205.168199482641198535785431885299355821) }},
+      {{ SC_(66.0), SC_(0.8247650592082470666723170306785496252186e91), SC_(209.3425867525368356464396786600908620653) }},
+      {{ SC_(67.0), SC_(0.5443449390774430640037292402478427526443e93), SC_(213.5322414945632611913140995964366936378) }},
+      {{ SC_(68.0), SC_(0.3647111091818868528824985909660546442717e95), SC_(217.7369341139542272509841715928004163884) }},
+      {{ SC_(69.0), SC_(0.2480035542436830599600990418569171581047e97), SC_(221.9564418191303339500681704535898960601) }},
+      {{ SC_(70.0), SC_(0.1711224524281413113724683388812728390923e99), SC_(226.1905483237275933322701685223226178832) }},
+      {{ SC_(71.0), SC_(0.1197857166996989179607278372168909873646e101), SC_(230.4390435657769523213935127204501618205) }},
+      {{ SC_(72.0), SC_(0.8504785885678623175211676442399260102886e102), SC_(234.7017234428182677427229672529631959172) }},
+      {{ SC_(73.0), SC_(0.6123445837688608686152407038527467274078e104), SC_(238.9783895618343230537651540911827770308) }},
+      {{ SC_(74.0), SC_(0.4470115461512684340891257138125051110077e106), SC_(243.2688490029827141828572629486213196017) }},
+      {{ SC_(75.0), SC_(0.3307885441519386412259530282212537821457e108), SC_(247.5729140961868839366425907411109433336) }},
+      {{ SC_(76.0), SC_(0.2480914081139539809194647711659403366093e110), SC_(251.8904022097231943772393546444858443173) }},
+      {{ SC_(77.0), SC_(0.188549470166605025498793226086114655823e112), SC_(256.2211355500095254560828463192900509907) }},
+      {{ SC_(78.0), SC_(0.1451830920282858696340707840863082849837e114), SC_(260.5649409718632093052501426406983600202) }},
+      {{ SC_(79.0), SC_(0.1132428117820629783145752115873204622873e116), SC_(264.9216497985528010421161074406443808977) }},
+      {{ SC_(80.0), SC_(0.8946182130782975286851441715398316520698e117), SC_(269.2910976510198225362890529821257918199) }},
+      {{ SC_(81.0), SC_(0.7156945704626380229481153372318653216558e119), SC_(273.6731242856937041485587408011846857317) }},
+      {{ SC_(82.0), SC_(0.5797126020747367985879734231578109105412e121), SC_(278.0675734403661429141397217488747885503) }},
+      {{ SC_(83.0), SC_(0.4753643337012841748421382069894049466438e123), SC_(282.4742926876303960274237172433703727067) }},
+      {{ SC_(84.0), SC_(0.3945523969720658651189747118012061057144e125), SC_(286.8931332954269939508991894666617431598) }},
+      {{ SC_(85.0), SC_(0.3314240134565353266999387579130131288001e127), SC_(291.3239500942703075662342516899438017302) }},
+      {{ SC_(86.0), SC_(0.2817104114380550276949479442260611594801e129), SC_(295.7666013507606240210845456410431159053) }},
+      {{ SC_(87.0), SC_(0.2422709538367273238176552320344125971528e131), SC_(300.220948647014131753974620275847139509) }},
+      {{ SC_(88.0), SC_(0.210775729837952771721360051869938959523e133), SC_(304.6868567656687154725531375451315768191) }},
+      {{ SC_(89.0), SC_(0.1854826422573984391147968456455462843802e135), SC_(309.1641935801469219448667774874712358232) }},
+      {{ SC_(90.0), SC_(0.1650795516090846108121691926245361930984e137), SC_(313.6528299498790617831845930281410850426) }},
+      {{ SC_(91.0), SC_(0.1485715964481761497309522733620825737886e139), SC_(318.1526396202093268499930749566705006595) }},
+      {{ SC_(92.0), SC_(0.1352001527678402962551665687594951421476e141), SC_(322.6634991267261768911519151416789989939) }},
+      {{ SC_(93.0), SC_(0.1243841405464130725547532432587355307758e143), SC_(327.1852877037752172007931322164055482485) }},
+      {{ SC_(94.0), SC_(0.1156772507081641574759205162306240436215e145), SC_(331.7178871969284731381175417778704311636) }},
+      {{ SC_(95.0), SC_(0.1087366156656743080273652852567866010042e147), SC_(336.2611819791984770343557245691007814406) }},
+      {{ SC_(96.0), SC_(0.103299784882390592625997020993947270954e149), SC_(340.8150588707990178689655113342148226173) }},
+      {{ SC_(97.0), SC_(0.9916779348709496892095714015418938011582e150), SC_(345.3794070622668541074469171784282311623) }},
+      {{ SC_(98.0), SC_(0.9619275968248211985332842594956369871234e152), SC_(349.9541180407702369295636388001321928762) }},
+      {{ SC_(99.0), SC_(0.942689044888324774562618574305724247381e154), SC_(354.5390855194408088491915764084767289035) }},
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }},
+      {{ SC_(2.5), SC_(1.329340388179137020473625612505858887098), SC_(0.2846828704729191596324946696827019243201) }},
+      {{ SC_(3.5), SC_(3.323350970447842551184064031264647217745), SC_(1.20097360234707422481602188145071299577) }},
+      {{ SC_(4.5), SC_(11.63172839656744892914422410942626526211), SC_(2.453736570842442220504142503435716157332) }},
+      {{ SC_(5.5), SC_(52.34277778455352018114900849241819367949), SC_(3.957813967618716293877400855822590998551) }},
+      {{ SC_(6.5), SC_(287.8852778150443609963195467083000652372), SC_(5.662562059857141528522112312329543730298) }},
+      {{ SC_(7.5), SC_(1871.254305797788346476077053603950424042), SC_(7.534364236758732955158367632436685767027) }},
+      {{ SC_(8.5), SC_(14034.40729348341259857057790202962818031), SC_(9.549267257300997711737140081127222543125) }},
+      {{ SC_(9.5), SC_(119292.4619946090070878499121672518395327), SC_(11.68933342079726848256944257754217251064) }},
+      {{ SC_(10.5), SC_(1133278.38894878556733457416558889247556), SC_(13.9406252194037636331612378879718494798) }},
+      {{ SC_(11.5), SC_(11899423.08396224845701302873868337099338), SC_(16.29200047656724132024460374687937834601) }},
+      {{ SC_(12.5), SC_(136843365.4655658572556498304948587664239), SC_(18.73434751193644570163412445723139789638) }},
+      {{ SC_(13.5), SC_(1710542068.319573215695622881185734580299), SC_(21.26007615624470114141841100222559660735) }},
+      {{ SC_(14.5), SC_(23092317922.31423841189090889600741683403), SC_(23.86276584168908490618691459153499715322) }},
+      {{ SC_(15.5), SC_(334838609873.5564569724181789921075440935), SC_(26.53691449111561362395295450243873219064) }},
+      {{ SC_(16.5), SC_(5189998453040.125083072481774377666933449), SC_(29.27775451504081456046488670552291283301) }},
+      {{ SC_(17.5), SC_(85634974475162.06387069594927723150440191), SC_(32.08111489594734948650484339895239126941) }},
+      {{ SC_(18.5), SC_(1498612053315336.117737179112351551327033), SC_(34.94331577687681785679372335416358207049) }},
+      {{ SC_(19.5), SC_(27724322986333718.17813781357850369955012), SC_(37.86108650896109699174458690373685266632) }},
+      {{ SC_(20.5), SC_(540624298233507504.4736873647808221412273), SC_(40.83150097453079810977608746076652040769) }},
+      {{ SC_(21.5), SC_(11082798113786903841.71059097800685389516), SC_(43.851925860675160604225618712345751428) }},
+      {{ SC_(22.5), SC_(238280159446418432596.7777060271473587459), SC_(46.91997879580877771828122910423342189548) }},
+      {{ SC_(23.5), SC_(5361303587544414733427.498385610815571784), SC_(50.03349410501915216625524678984648437622) }},
+      {{ SC_(24.5), SC_(125990634307293746235546.2120618541659369), SC_(53.19049452616926544365896533816048151704) }},
+      {{ SC_(25.5), SC_(3086770540528696782770882.195515427065454), SC_(56.38916764371994674445243870358866440824) }},
+      {{ SC_(26.5), SC_(78712648783481767960657495.98564339016909), SC_(59.6278460958843272066799864369261400804) }},
+      {{ SC_(27.5), SC_(2085885192762266850957423643.619549839481), SC_(62.90499082887650373140722345449702128269) }},
+      {{ SC_(28.5), SC_(57361842800962338401329150199.53762058572), SC_(66.21917683354902934065269424423016165396) }},
+      {{ SC_(29.5), SC_(1634812519827426644437880780686.822186693), SC_(69.56908092082363418263973479158236432777) }},
+      {{ SC_(30.5), SC_(48226969334909086010917483030261.25450745), SC_(72.95347118416940832383855304384388538376) }},
+      {{ SC_(31.5), SC_(1470922564714727123332983232422968.262477), SC_(76.371197867782774263172710025811323562) }},
+      {{ SC_(32.5), SC_(46334060788513904384988971821323500.26803), SC_(79.82118541361436164165132112164137813285) }},
+      {{ SC_(33.5), SC_(1505856975626701892512141584193013758.711), SC_(83.30242550295005344288833577497470780911) }},
+      {{ SC_(34.5), SC_(50446208683494513399156743070465960916.82), SC_(86.8139709417810741931411756498802539916) }},
+      {{ SC_(35.5), SC_(1740394199580560712270907635931075651630.0), SC_(90.35493026581838826592594159715479924661) }},
+      {{ SC_(36.5), SC_(61783994085109905285617221075553185632870.0), SC_(93.9244629622997583778381640082096567753) }},
+      {{ SC_(37.5), SC_(0.22551157841065115429250285692576912756e43), SC_(97.52177522288820419751304074419002277813) }},
+      {{ SC_(38.5), SC_(0.8456684190399418285968857134716342283499e44), SC_(101.1461161558645693286925725261067471938) }},
+      {{ SC_(39.5), SC_(0.3255823413303776040098009996865791779147e46), SC_(104.7967743971583078684426367260568796551) }},
+      {{ SC_(40.5), SC_(0.1286050248254991535838713948761987752763e48), SC_(108.4730750690653840531983501460801140092) }},
+      {{ SC_(41.5), SC_(0.5208503505432715720146791492486050398691e49), SC_(112.1743770431778775093620989723120402597) }},
+      {{ SC_(42.5), SC_(0.2161528954754577023860918469381710915457e51), SC_(115.9000704704145301234203390741452341447) }},
+      {{ SC_(43.5), SC_(0.9186498057706952351408903494872271390691e52), SC_(119.6495745463449012688534009037863717517) }},
+      {{ SC_(44.5), SC_(0.3996126655102524272862873020269438054951e54), SC_(123.4223354844395396780146860516126324938) }},
+      {{ SC_(45.5), SC_(0.1778276361520623301423978494019899934453e56), SC_(127.2178246736117342069152694708243051451) }},
+      {{ SC_(46.5), SC_(0.8091157444918836021479102147790544701761e57), SC_(131.0355369995686389386568775343746269115) }},
+      {{ SC_(47.5), SC_(0.3762388211887258749987782498722603286319e59), SC_(134.8749893121619495665640549743813332585) }},
+      {{ SC_(48.5), SC_(0.1787134400646447906244196686893236561001e61), SC_(138.7357190232025450917566096180371978672) }},
+      {{ SC_(49.5), SC_(0.8667601843135272345284353931432197320857e62), SC_(142.6172828211459826044560991182829830129) }},
+      {{ SC_(50.5), SC_(0.4290462912351959810915755196058937673824e64), SC_(146.519255490720627221891301048634987154) }},
+      {{ SC_(51.5), SC_(0.2166683770737739704512456374009763525281e66), SC_(150.4412288270019413633582671940897997428) }},
+      {{ SC_(52.5), SC_(0.111584214192993594782391503261502821552e68), SC_(154.3828106346716318247096373876850639954) }},
+      {{ SC_(53.5), SC_(0.5858171245132163726075553921228898131479e69), SC_(158.3436238042692098863937625798187805011) }},
+      {{ SC_(54.5), SC_(0.3134121616145707593450421347857460500341e71), SC_(162.3233054581711707502809292753838809346) }},
+      {{ SC_(55.5), SC_(0.1708096280799410638430479634582315972686e73), SC_(166.3215061598403691412410136061349060176) }},
+      {{ SC_(56.5), SC_(0.9479934358436729043289161971931853648408e74), SC_(170.337889180592757967587122392630702318) }},
+      {{ SC_(57.5), SC_(0.535616291251675190945837651414149731135e76), SC_(174.372129818745153226752021764788547422) }},
+      {{ SC_(58.5), SC_(0.3079793674697132347938566495631360954026e78), SC_(178.4239147665484579827423018083667546119) }},
+      {{ SC_(59.5), SC_(0.1801679299697822423544061399944346158105e80), SC_(182.4929415207862687921690476023189480579) }},
+      {{ SC_(60.5), SC_(0.1071999183320204342008716532966885964073e82), SC_(186.5789178333378528681067028421770777551) }},
+      {{ SC_(61.5), SC_(0.648559505908723626915273502444966008264e83), SC_(190.6815611983746486468133578766491597866) }},
+      {{ SC_(62.5), SC_(0.3988640961338650305528932040036540950824e85), SC_(194.8005983731871208326581343651509165116) }},
+      {{ SC_(63.5), SC_(0.2492900600836656440955582525022838094265e87), SC_(198.9357649299294766470431802433713028621) }},
+      {{ SC_(64.5), SC_(0.1582991881531276840006794903389502189858e89), SC_(203.0868048358281226106733889296294186889) }},
+      {{ SC_(65.5), SC_(0.1021029763587673561804382712686228912459e91), SC_(207.253470059629849416124244558439614861) }},
+      {{ SC_(66.5), SC_(0.6687744951499261829818706768094799376603e92), SC_(211.435520202271055650856436448150964186) }},
+      {{ SC_(67.5), SC_(0.4447350392747009116829440000783041585441e94), SC_(215.6327221499328641065535845020238208848) }},
+      {{ SC_(68.5), SC_(0.3001961515104231153859872000528553070173e96), SC_(219.8448497478113482459228474245594090702) }},
+      {{ SC_(69.5), SC_(0.2056343637846398340394012320362058853068e98), SC_(224.0716834930795278518208054310810978927) }},
+      {{ SC_(70.5), SC_(0.1429158828303246846573838562651630902882e100), SC_(228.3130102456502742995923582284984651071) }},
+      {{ SC_(71.5), SC_(0.1007556973953789026834556186669399786532e102), SC_(232.5686229554684972683913220137349879525) }},
+      {{ SC_(72.5), SC_(0.7204032363769591541867076734686208473705e103), SC_(236.8383204051684592390895209118072592891) }},
+      {{ SC_(73.5), SC_(0.5222923463732953867853630632647501143436e105), SC_(241.121906967029088331456320155937181966) }},
+      {{ SC_(74.5), SC_(0.3838848745843721092872418514995913340426e107), SC_(245.4191923732478793236450387582878905619) }},
+      {{ SC_(75.5), SC_(0.2859942315653572214189951793671955438617e109), SC_(249.7299914986333931552202349119338344817) }},
+      {{ SC_(76.5), SC_(0.2159256448318447021713413604222326356156e111), SC_(254.0541241548883721745992390899601342039) }},
+      {{ SC_(77.5), SC_(0.1651831182963611971610761407230079662459e113), SC_(258.3914148957208623282220320602201355807) }},
+      {{ SC_(78.5), SC_(0.1280169166796799277998340090603311738406e115), SC_(262.7416928320801636393347235965305038626) }},
+      {{ SC_(79.5), SC_(0.1004932795935487433228696971123599714649e117), SC_(267.1047914568685263873419367114758025432) }},
+      {{ SC_(80.5), SC_(0.7989215727687125094168140920432617731457e118), SC_(271.4805484785288126034644189659692094502) }},
+      {{ SC_(81.5), SC_(0.6431318660788135700805353440948257273823e120), SC_(275.8688056629533302899592924197644087302) }},
+      {{ SC_(82.5), SC_(0.5241524708542330596156363054372829678165e122), SC_(280.2694086832001473146069926644269820387) }},
+      {{ SC_(83.5), SC_(0.4324257884547422741828999519857584484486e124), SC_(284.6822069765407826152477086910826481146) }},
+      {{ SC_(84.5), SC_(0.3610755333597097989427214599081083044546e126), SC_(289.1070536083975924130902273463692509124) }},
+      {{ SC_(85.5), SC_(0.3051088256889547801065996336223515172642e128), SC_(293.5438051427607205757799701080417115539) }},
+      {{ SC_(86.5), SC_(0.2608680459640563369911426867471105472609e130), SC_(297.9923215187034351091622558923164399324) }},
+      {{ SC_(87.5), SC_(0.2256508597589087314973384240362506233806e132), SC_(302.4524659326412687466785241592992548335) }},
+      {{ SC_(88.5), SC_(0.1974445022890451400601711210317192954581e134), SC_(306.9241047260048374915681634477366332741) }},
+      {{ SC_(89.5), SC_(0.1747383845258049489532514421130715764804e136), SC_(311.4071072780187213241622269369206800347) }},
+      {{ SC_(90.5), SC_(0.1563908541505954293131600406911990609499e138), SC_(315.9013459032995310109227992454839056422) }},
+      {{ SC_(91.5), SC_(0.1415337230062888635284098368255351501597e140), SC_(320.4066957540054114483446541626587380014) }},
+      {{ SC_(92.5), SC_(0.1295033565507543101284950006953646623961e142), SC_(324.9230347262868870790740563815487018843) }},
+      {{ SC_(93.5), SC_(0.1197906048094477368688578756432123127164e144), SC_(329.4502433708052665886256792643481601196) }},
+      {{ SC_(94.5), SC_(0.1120042154968336339723821137264035123898e146), SC_(333.988204807099907903519925338728239387) }},
+      {{ SC_(95.5), SC_(0.1058439836445077841039010974714513192084e148), SC_(338.5368046415996049733937816714808196625) }},
+      {{ SC_(96.5), SC_(0.101081004380504933819225548085236009844e150), SC_(343.095930889086289536826499502225010241) }},
+      {{ SC_(97.5), SC_(0.9754316922718726113555265390225274949948e151), SC_(347.6654738974312297792641984341498924371) }},
+      {{ SC_(98.5), SC_(0.95104589996507579607163837554696430762e153), SC_(352.245326275435031271896458324405747818) }},
+      {{ SC_(99.5), SC_(0.9367802114655996591305637999137598430057e155), SC_(356.835382823613074469259023532110402225) }}
+   } };
+
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 41> near_1 = { {
+      {{ SC_(0.5), SC_(1.772453850905516027298167483341145182798), SC_(0.5723649429247000870717136756765293558236) }},
+      {{ SC_(0.625), SC_(1.434518848090556775636019739456423136632), SC_(0.3608294954889401811849576858227794878574) }},
+      {{ SC_(0.75), SC_(1.225416702465177645129098303362890526851), SC_(0.2032809514312953714814329718624296997597) }},
+      {{ SC_(0.875), SC_(1.089652357422896951252376755102892971148), SC_(0.08585870722533432350236558376948770226972) }},
+      {{ SC_(0.875), SC_(1.089652357422896951252376755102892971148), SC_(0.08585870722533432350236558376948770226972) }},
+      {{ SC_(0.9375), SC_(1.040177011186767171459762817361921128614), SC_(0.03939090173458230065822754634095384450336) }},
+      {{ SC_(0.96875), SC_(1.019032525056673950564730047928136024882), SC_(0.01885367233441289053559206570480080890174) }},
+      {{ SC_(0.984375), SC_(1.009263984715686303151364227987264939567), SC_(0.009221337197578781045045446027854805411837) }},
+      {{ SC_(0.9921875), SC_(1.004570300975031369541819081985749775618), SC_(0.004559888861804558865096599455042458443847) }},
+      {{ SC_(0.99609375), SC_(1.002269894807266338070518646683408822875), SC_(0.002267322487909119869224853055660925945503) }},
+      {{ SC_(0.998046875), SC_(1.001131154070271719475148653701632936175), SC_(0.001130514797538261731446855551493110644591) }},
+      {{ SC_(0.9990234375), SC_(1.000564631256105134179583334797007222469), SC_(0.0005644719118551233842574575277837954032273) }},
+      {{ SC_(0.99951171875), SC_(1.000282079501403060312266009234616105409), SC_(0.0002820397244605020216499093258679218227703) }},
+      {{ SC_(0.999755859375), SC_(1.000140980758729162527664293184201592009), SC_(0.0001409708218759223705137152436852900410971) }},
+      {{ SC_(0.9998779296875), SC_(1.000070475636328154358952919083132410835), SC_(0.7047315303717008615499045661742960649129e-4) }},
+      {{ SC_(0.99993896484375), SC_(1.000035234133024267207862236519063784064), SC_(0.3523351231678223923789189421658142521323e-4) }},
+      {{ SC_(0.999969482421875), SC_(1.00001761614530457531538182039987833925), SC_(0.1761599014210985977615986870219441253152e-4) }},
+      {{ SC_(0.9999847412109375), SC_(1.000008807842360071243230645907272632701), SC_(0.8807803571255486980463673710461571970668e-5) }},
+      {{ SC_(0.99999237060546875), SC_(1.000004403863608190592851185888812529877), SC_(0.4403853911211722516241836921789602523957e-5) }},
+      {{ SC_(0.999996185302734375), SC_(1.000002201917411285169225005738085227502), SC_(0.2201914987068584780432891571768087250967e-5) }},
+      {{ SC_(1.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(1.000003814697265625), SC_(0.9999977981113740328314320876032760067576), SC_(-0.2201891050127487637714181831108975522931e-5) }},
+      {{ SC_(1.00000762939453125), SC_(0.9999955962515330814147665236857616584616), SC_(-0.4403758163447332570221840098229107074209e-5) }},
+      {{ SC_(1.0000152587890625), SC_(0.9999911926182050168670695717547199129391), SC_(-0.8807420580197905194061157631901679899078e-5) }},
+      {{ SC_(1.000030517578125), SC_(0.99998238569695577840308912119540189507), SC_(-0.1761445817787918059338915122874759423839e-4) }},
+      {{ SC_(1.00006103515625), SC_(0.9999647732360171681023427372223702590454), SC_(-0.352273844598538899122262467277208094941e-4) }},
+      {{ SC_(1.0001220703125), SC_(0.9999295538398379138630109146622273453912), SC_(-0.7044864160936656733821449407577769386531e-4) }},
+      {{ SC_(1.000244140625), SC_(0.9998591371459403420587898072239427065107), SC_(-0.0001408727761632663509703058417841195184664) }},
+      {{ SC_(1.00048828125), SC_(0.9997183921173586652300583206642029951561), SC_(-0.0002816475415868068318239205463917072406589) }},
+      {{ SC_(1.0009765625), SC_(0.999437255220281084345213592031181905165), SC_(-0.0005629031799912046317021499216851450277288) }},
+      {{ SC_(1.001953125), SC_(0.998876391856702293840181665944397250951), SC_(-0.001124239864176365593088235002674045499535) }},
+      {{ SC_(1.00390625), SC_(0.9977602892435009045255150050890440579513), SC_(-0.002242222659961150144765481909230529929808) }},
+      {{ SC_(1.0078125), SC_(0.995550440714294209465143243929765941358), SC_(-0.004459488037952299086670078922352109198758) }},
+      {{ SC_(1.015625), SC_(0.9912190698420517341764818662191450397148), SC_(-0.008819709705733069204889229698627066380001) }},
+      {{ SC_(1.03125), SC_(0.98290109928362691478263486825456935047), SC_(-0.01724677500176806740289126202224623179737) }},
+      {{ SC_(1.0625), SC_(0.9675800675995248847599762987154317516646), SC_(-0.03295710029357781908319883575047418315706) }},
+      {{ SC_(1.125), SC_(0.9417426998497014880874037301518917030763), SC_(-0.06002318412603958293140584320743011427822) }},
+      {{ SC_(1.125), SC_(0.9417426998497014880874037301518917030763), SC_(-0.06002318412603958293140584320743011427822) }},
+      {{ SC_(1.25), SC_(0.9064024770554770779826712889669180007488), SC_(-0.09827183642181316146385380269663584022562) }},
+      {{ SC_(1.375), SC_(0.8889135691562253407424275640662446912078), SC_(-0.1177552707410787744513620333179885042465) }},
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 41> near_2 = { {
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }},
+      {{ SC_(1.625), SC_(0.8965742800565979847725123371602644603951), SC_(-0.1091741337567953724659793453255625768435) }},
+      {{ SC_(1.75), SC_(0.9190625268488832338468237275221678951384), SC_(-0.08440112102048555595778603413139773174384) }},
+      {{ SC_(1.875), SC_(0.9534458127450348323458296607150313497544), SC_(-0.0476726853991882996439780371618622723197) }},
+      {{ SC_(1.875), SC_(0.9534458127450348323458296607150313497544), SC_(-0.0476726853991882996439780371618622723197) }},
+      {{ SC_(1.9375), SC_(0.9751659479875942232435276412768010580753), SC_(-0.02514761940298887101469636934303908362555) }},
+      {{ SC_(1.96875), SC_(0.9871877586486528896095822339303817741048), SC_(-0.01289502598016741062140421704372482102582) }},
+      {{ SC_(1.984375), SC_(0.9934942349545037046646241619249639248858), SC_(-0.006527019770560387562504065432973464109098) }},
+      {{ SC_(1.9921875), SC_(0.9967220954986639369672736204077361054958), SC_(-0.003283288599221334008087443035901123210745) }},
+      {{ SC_(1.99609375), SC_(0.9983547780306754539374306832198017571606), SC_(-0.001646576833227209223092930587911738897203) }},
+      {{ SC_(1.998046875), SC_(0.9991758197849782200230487539873719343464), SC_(-0.0008245200382650888261806366903737014930725) }},
+      {{ SC_(1.9990234375), SC_(0.9995875173583940940094860854466195201034), SC_(-0.0004125677359714894017106176239696704326377) }},
+      {{ SC_(1.99951171875), SC_(0.9997936605172715158492229105972945155141), SC_(-0.0002063607736483724433350542340289891606905) }},
+      {{ SC_(1.999755859375), SC_(0.9998968057145986134157190626438734177924), SC_(-0.0001031996102979920861817501746961436019694) }},
+      {{ SC_(1.9998779296875), SC_(0.9999483967208452041447977734631271456482), SC_(-0.5160461064981215542788033369454594603258e-4) }},
+      {{ SC_(1.99993896484375), SC_(0.9999741968262534527384281628962293685498), SC_(-0.2580350665416168648325053559023655125278e-4) }},
+      {{ SC_(1.999969482421875), SC_(0.9999870980295774847216527132886600812439), SC_(-0.1290205365365156795229453393309637521044e-4) }},
+      {{ SC_(1.9999847412109375), SC_(0.9999935489189005625751513729787156979985), SC_(-0.6451101907750591399976874019296260011728e-5) }},
+      {{ SC_(1.99999237060546875), SC_(0.9999967744354781276641509840822795646932), SC_(-0.3225569724016764801116581064181763189594e-5) }},
+      {{ SC_(1.999996185302734375), SC_(0.9999983872117460118412633921783404380531), SC_(-0.1612789554532533173009818453505550062943e-5) }},
+      {{ SC_(2.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(2.000003814697265625), SC_(1.00000161280024011931074434129623713986), SC_(0.161279893955840184299760314572495677042e-5) }},
+      {{ SC_(2.00000762939453125), SC_(1.000003225612466396944257297966490462185), SC_(0.322560726412023958566345675090317173141e-5) }},
+      {{ SC_(2.0000152587890625), SC_(1.000006451272877535864519325623917830418), SC_(0.6451252068164492211696167502987139983584e-5) }},
+      {{ SC_(2.000030517578125), SC_(1.000012902737534909133631207655399313341), SC_(0.1290265429530719797568036294024708700466e-4) }},
+      {{ SC_(2.00006103515625), SC_(1.000025806242196124228325546227327679105), SC_(0.2580590922078463500093254292124318294867e-4) }},
+      {{ SC_(2.0001220703125), SC_(1.000051615552953128452105520486771074315), SC_(0.5161422091631080428484087308642550680092e-4) }},
+      {{ SC_(2.000244140625), SC_(1.000103243380595112650112753954221989398), SC_(0.0001032380513640963581901732440393341809948) }},
+      {{ SC_(2.00048828125), SC_(1.000206535863509719265815185078589813025), SC_(0.0002065145379145443567131291462537026096587) }},
+      {{ SC_(2.0009765625), SC_(1.000413268164832140091644464679649856244), SC_(0.000413182793064254264258674986332041644883) }},
+      {{ SC_(2.001953125), SC_(1.000827322309547415507838270760694901832), SC_(0.000826980267085383846585814529167493000815) }},
+      {{ SC_(2.00390625), SC_(1.001657790373358329933817798077673136303), SC_(0.001656417755696172869171861186612377080916) }},
+      {{ SC_(2.0078125), SC_(1.003328178532374632976589675522967237775), SC_(0.003322652404102649860792821138784654479368) }},
+      {{ SC_(2.015625), SC_(1.00670686780833379252298939537881918096), SC_(0.006684476830232184945964816343819769497868) }},
+      {{ SC_(2.03125), SC_(1.013616758636240255869592207887524642672), SC_(0.01352488366498562096813694557452593229433) }},
+      {{ SC_(2.0625), SC_(1.028053821824495190057474817385146236144), SC_(0.02766752152285702349740729628994608012915) }},
+      {{ SC_(2.125), SC_(1.059460537330914174098329196420878165961), SC_(0.05775985153034387160738826626309159079026) }},
+      {{ SC_(2.125), SC_(1.059460537330914174098329196420878165961), SC_(0.05775985153034387160738826626309159079026) }},
+      {{ SC_(2.25), SC_(1.133003096319346347478339111208647500936), SC_(0.124871714892396594302441287613198663149) }},
+      {{ SC_(2.375), SC_(1.222256157589809843520837900591086450411), SC_(0.2006984603774558413588851802726110913487) }},
+      {{ SC_(2.5), SC_(1.329340388179137020473625612505858887098), SC_(0.2846828704729191596324946696827019243201) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_0 = { {
+      {{ SC_(-0.5), SC_(-3.544907701811032054596334966682290365595), SC_(1.265512123484645396488945797134705923899) }},
+      {{ SC_(-0.375), SC_(-3.825383594908151401696052638550461697686), SC_(1.341658748500666418041408813274783487436) }},
+      {{ SC_(-0.25), SC_(-4.901666809860710580516393213451562107405), SC_(1.589575312551185990315897214778782835911) }},
+      {{ SC_(-0.125), SC_(-8.717218859383175610019014040823143769183), SC_(2.165300248905170251754061948144017406496) }},
+      {{ SC_(-0.125), SC_(-8.717218859383175610019014040823143769183), SC_(2.165300248905170251754061948144017406496) }},
+      {{ SC_(-0.0625), SC_(-16.64283217898827474335620507779073805782), SC_(2.811979623974363538327156032173660116805) }},
+      {{ SC_(-0.03125), SC_(-32.60904080181356641807136153370035279623), SC_(3.484589575134139437621752672995683649279) }},
+      {{ SC_(-0.015625), SC_(-64.59289502180392340168731059118495613226), SC_(4.168104420557250637548438174776914213865) }},
+      {{ SC_(-0.0078125), SC_(-128.5849985248040153013528424941759712791), SC_(4.856590152781421724785721449662278434972) }},
+      {{ SC_(-0.00390625), SC_(-256.581093070660182546052773550952658656), SC_(5.54744476696747159520708182472107347055) }},
+      {{ SC_(-0.001953125), SC_(-512.5791508839791203712761106952360633215), SC_(6.239455139837046046486535948675082223324) }},
+      {{ SC_(-0.0009765625), SC_(-1024.578182406251657399893334832135395808), SC_(6.932036277511308217556578672109549476158) }},
+      {{ SC_(-0.00048828125), SC_(-2048.577698818873467519520786912493783878), SC_(7.624901025883858905611203245365810170653) }},
+      {{ SC_(-0.000244140625), SC_(-4096.57745718775464971331294488248972087), SC_(8.317907137541219635377299172741804106947) }},
+      {{ SC_(-0.0001220703125), SC_(-8192.577336412800240508542313129020709561), SC_(9.010983820432326192510172569412912814588) }},
+      {{ SC_(-0.6103515625e-4), SC_(-16384.5772760354695939336148831283410381), SC_(9.704095761351551114080487592308688534482) }},
+      {{ SC_(-0.30517578125e-4), SC_(-32768.57724584934032393443149086321342054), SC_(10.39722532438932175111825798174135071555) }},
+      {{ SC_(-0.152587890625e-4), SC_(-65536.57723075690962899636361017901925666), SC_(11.09036369676269620616269440700453555078) }},
+      {{ SC_(-0.762939453125e-5), SC_(-131072.577223210852757386190636818435916), SC_(11.78350647337298147181546230662592344689) }},
+      {{ SC_(-0.3814697265625e-5), SC_(-262144.5772194378639394013199042046138782), SC_(12.47665145199400263809495861913874999345) }},
+      {{ SC_(0.3814697265625e-5), SC_(262143.4227881080344625629331726731855155), SC_(12.47664704818796544202254047206534711638) }},
+      {{ SC_(0.762939453125e-5), SC_(131071.4227918809440471962777925401520979), SC_(11.78349766576090681276037584294890342818) }},
+      {{ SC_(0.152587890625e-4), SC_(65535.42279942668398540027145451732421438), SC_(11.09034608153854475277051988217319318753) }},
+      {{ SC_(0.30517578125e-4), SC_(32767.42281451784694671242432333092929765), SC_(10.39719009394100176207788843272141977354) }},
+      {{ SC_(0.6103515625e-4), SC_(16383.4228446989052821887834066513143242), SC_(9.704025300454774477951337474167744232248) }},
+      {{ SC_(0.0001220703125), SC_(8191.422905055952190365785412912966413445), SC_(9.010842898637679655856679364462219607288) }},
+      {{ SC_(0.000244140625), SC_(4095.423025749771641072803050389269325868), SC_(8.317625293943180446655815151656334697388) }},
+      {{ SC_(0.00048828125), SC_(2047.42326705635054639115944072028773408), SC_(7.62433733861781159675772941549355054159) }},
+      {{ SC_(0.0009765625), SC_(1023.423749345567830369498718239930270889), SC_(6.930908902419461889540619064660080535727) }},
+      {{ SC_(0.001953125), SC_(511.4247126306315744461730129635313924869), SC_(6.23720038517533141916200085812091506718) }},
+      {{ SC_(0.00390625), SC_(255.4266340463362315585318413027952788355), SC_(5.542935221819601325193091489756182014674) }},
+      {{ SC_(0.0078125), SC_(127.4304564114296588115383352230100404938), SC_(4.84757077588166486683395477128488386733) }},
+      {{ SC_(0.015625), SC_(63.43802046989131098729483943802528254174), SC_(4.150063373653938787298503499050432342073) }},
+      {{ SC_(0.03125), SC_(31.45283517707606127304431578414621921504), SC_(3.44848912779795847968326934526863660858) }},
+      {{ SC_(0.0625), SC_(15.48128108159239815615962077944690802663), SC_(2.739631621946203418585729650082232089145) }},
+      {{ SC_(0.125), SC_(7.53394159879761190469922984121513362461), SC_(2.019418357553796345320290521167099589948) }},
+      {{ SC_(0.125), SC_(7.53394159879761190469922984121513362461), SC_(2.019418357553796345320290521167099589948) }},
+      {{ SC_(0.25), SC_(3.625609908221908311930685155867672002995), SC_(1.288022524698077457370610440219717295925) }},
+      {{ SC_(0.375), SC_(2.370436184416600908646473504176652509887), SC_(0.8630739822706474624050890941340154953325) }},
+      {{ SC_(0.5), SC_(1.772453850905516027298167483341145182798), SC_(0.5723649429247000870717136756765293558236) }}
+   } }; 
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_m10 = { {
+      {{ SC_(-10.5), SC_(-0.2640121820547716316246385325311240439682e-6), SC_(-15.14727059071784114610117639552631963436) }},
+      {{ SC_(-10.375), SC_(-0.3853824777091100016167565620752110328498e-6), SC_(-14.76902954720701012688042720516103787762) }},
+      {{ SC_(-10.25), SC_(-0.67808180432946731304891004492754985848e-6), SC_(-14.20399790093109065161116876070387206737) }},
+      {{ SC_(-10.125), SC_(-0.1684831262052517456216882327889895477394e-5), SC_(-13.293845140389538484236785089823191703) }},
+      {{ SC_(-10.125), SC_(-0.1684831262052517456216882327889895477394e-5), SC_(-13.293845140389538484236785089823191703) }},
+      {{ SC_(-10.0625), SC_(-0.3830328107020316635889325503807551568979e-5), SC_(-12.47256009081165579039929355805785844157) }},
+      {{ SC_(-10.03125), SC_(-0.820629952953019778657392524711140975814e-5), SC_(-11.71060846332720387792243958913415617938) }},
+      {{ SC_(-10.015625), SC_(-0.1700699874643038383461557487368349913225e-4), SC_(-10.98188560766303889037266091827081352261) }},
+      {{ SC_(-10.0078125), SC_(-0.3463458256516313677243695342138690766685e-4), SC_(-10.27065787896126424410583159193311350064) }},
+      {{ SC_(-10.00390625), SC_(-0.6990332874758209033426446699035926999779e-4), SC_(-9.568397288290682386853008683681967849367) }},
+      {{ SC_(-10.001953125), SC_(-0.0001404477363900451708521851118608466504012), SC_(-8.870675121382310094805966387146254501189) }},
+      {{ SC_(-10.0009765625), SC_(-0.000281540041401883411812666338203440274148), SC_(-8.175235877509399161097817609681419866606) }},
+      {{ SC_(-10.00048828125), SC_(-0.000563726404385624063397951573975953521758), SC_(-7.480941522771659111292091779019988346536) }},
+      {{ SC_(-10.000244140625), SC_(-0.001128100008866690679009902807702968873353), SC_(-6.787220469493554911614571257238006425123) }},
+      {{ SC_(-10.0001220703125), SC_(-0.002256847657595184957233851276605048793085), SC_(-6.093786281167310238545736320487058532071) }},
+      {{ SC_(-10.00006103515625), SC_(-0.004514343175062893955072428860155326550553), SC_(-5.400495578872419834979145899538225218653) }},
+      {{ SC_(-10.000030517578125), SC_(-0.009029334320035575647839997474459714791226), SC_(-4.707276632982054173483611347195057396393) }},
+      {{ SC_(-10.0000152587890625), SC_(-0.01805931666500754906434806474181437991942), SC_(-4.01409356864116185854622778461065066607) }},
+      {{ SC_(-10.00000762939453125), SC_(-0.03611928138246679574769960801636554264536), SC_(-3.320928445911808853642423587159533484381) }},
+      {{ SC_(-10.000003814697265625), SC_(-0.07223921083114343778444263107651750106133), SC_(-2.627772294197426150094657771000510514181) }},
+      {{ SC_(-9.999996185302734375), SC_(0.07224050699108014022628046448675851453374), SC_(-2.627754351749084271591553302449947161499) }},
+      {{ SC_(-9.99999237060546875), SC_(0.03612057754240364069840471083444586728855), SC_(-3.320892561015125097640948165422843317137) }},
+      {{ SC_(-9.9999847412109375), SC_(0.01806061282494496405052242015364798732676), SC_(-4.014021798847794354581145064057511795502) }},
+      {{ SC_(-9.999969482421875), SC_(0.009030630479975270775894162659645956519741), SC_(-4.707133093395319229856390889602684453056) }},
+      {{ SC_(-9.99993896484375), SC_(0.004515639335011709650690623512369371764253), SC_(-5.400208499698950462148264857327856480671) }},
+      {{ SC_(-9.9998779296875), SC_(0.002258143817580482923824809786660261248415), SC_(-6.093212122820375608272453375481778776963) }},
+      {{ SC_(-9.999755859375), SC_(0.00112939616899791774095825334343857186485), SC_(-6.786072152799718574175843462405206935614) }},
+      {{ SC_(-9.99951171875), SC_(0.0005650225651005676902373042742306456894427), SC_(-7.478644889384249821277500306107773873963) }},
+      {{ SC_(-9.9990234375), SC_(0.000282836204451696233602080064105049188933), SC_(-8.170642610736687659976646968506313698216) }},
+      {{ SC_(-9.998046875), SC_(0.0001417439087793817388175538505551912206884), SC_(-8.861488587853743723990903404527520549863) }},
+      {{ SC_(-9.99609375), SC_(0.7119953849576511774290270246050426493188e-4), SC_(-9.550024221368402701862865053477154735263) }},
+      {{ SC_(-9.9921875), SC_(0.3593094176075641243360143967272818899195e-4), SC_(-10.23391174619552949434163600960412224542) }},
+      {{ SC_(-9.984375), SC_(0.1830395592410737084371847753712605958898e-4), SC_(-10.90839335076217169965796414369624068766) }},
+      {{ SC_(-9.96875), SC_(0.9505651717966543211040666528035462899479e-5), SC_(-11.56362401857045907442600014919001566007) }},
+      {{ SC_(-9.9375), SC_(0.5139309871979484321498376816774659227047e-5), SC_(-12.17859175366355833461560769108992933228) }},
+      {{ SC_(-9.875), SC_(0.3033137834984411836791652786842133042328e-5), SC_(-12.70591288519170921633064985576606088605) }},
+      {{ SC_(-9.875), SC_(0.3033137834984411836791652786842133042328e-5), SC_(-12.70591288519170921633064985576606088605) }},
+      {{ SC_(-9.75), SC_(0.2197547155462853887868709703817446704567e-5), SC_(-13.02816874893114553892881831326149507953) }},
+      {{ SC_(-9.625), SC_(0.2248214426276410648574460028763198846825e-5), SC_(-13.00537424512744790544056216033820032846) }},
+      {{ SC_(-9.5), SC_(0.2772127911575102132058704591576802461667e-5), SC_(-12.79589533355436345901781053661879076815) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_m55 = { {
+      {{ SC_(-55.5), SC_(0.3313939247684676728377268347296671102738e-73), SC_(-169.1931592947433577934436950412776436064) }},
+      {{ SC_(-55.375), SC_(0.5931885913251829148011431845907438457576e-73), SC_(-168.6109546898941580979033836431457031234) }},
+      {{ SC_(-55.25), SC_(0.128134265213561204650151776242601279892e-72), SC_(-167.8408033134133338381597995376176917559) }},
+      {{ SC_(-55.125), SC_(0.3913191103476296924523858848738104144085e-72), SC_(-166.7243586084319013982262850893209212539) }},
+      {{ SC_(-55.125), SC_(0.3913191103476296924523858848738104144085e-72), SC_(-166.7243586084319013982262850893209212539) }},
+      {{ SC_(-55.0625), SC_(0.986732607487198018754292852511389106856e-72), SC_(-165.7994828862238820223463651561184383051) }},
+      {{ SC_(-55.03125), SC_(0.2226660343675615375290464186909601183619e-71), SC_(-164.9856238363615162450940197678605306484) }},
+      {{ SC_(-55.015625), SC_(0.4736069454740001055763353712089973133951e-71), SC_(-164.2309191328226253115354307486462442346) }},
+      {{ SC_(-55.0078125), SC_(0.977114118293834733521912343859491871413e-71), SC_(-163.5066934315334134525852432438180103697) }},
+      {{ SC_(-55.00390625), SC_(0.1984981336813056540008261636773673389822e-70), SC_(-162.7979320905915813518737104001603528406) }},
+      {{ SC_(-55.001953125), SC_(0.4001152702583918680236220298606474660766e-70), SC_(-162.0969591073259992663458061954608696748) }},
+      {{ SC_(-55.0009765625), SC_(0.8033716579133006533597549451686567408424e-70), SC_(-161.399894344940666691934457343256688548) }},
+      {{ SC_(-55.00048828125), SC_(0.1609895558223411179719291838965309144853e-69), SC_(-160.7047872033597077904481004857770657217) }},
+      {{ SC_(-55.000244140625), SC_(0.3222948938373906907742658942729222148632e-69), SC_(-160.0106597497627978468127607946271352327) }},
+      {{ SC_(-55.0001220703125), SC_(0.6449058492709206027088103024110200975353e-69), SC_(-159.3170223595527956784727838139907674684) }},
+      {{ SC_(-55.00006103515625), SC_(0.1290127899946570906748117205135768082314e-68), SC_(-158.6236300558849309281660984198839415596) }},
+      {{ SC_(-55.000030517578125), SC_(0.2580572071228903781598785159467838581806e-68), SC_(-157.9303603092003033255947568117785799832) }},
+      {{ SC_(-55.0000152587890625), SC_(0.5161460448765772204325064962419091742529e-68), SC_(-157.2371518444353362397006108889220356827) }},
+      {{ SC_(-55.00000762939453125), SC_(0.1032323722132728230665906965174285853426e-67), SC_(-156.5439740214872098856520824742320518588) }},
+      {{ SC_(-55.000003814697265625), SC_(0.2064679077519460715554797358664728667652e-67), SC_(-155.8508115196617565149201605014267824236) }},
+      {{ SC_(-54.999996185302734375), SC_(-0.2064742345776389872444192676691131506575e-67), SC_(-155.8507808769879053144034254273344043224) }},
+      {{ SC_(-54.99999237060546875), SC_(-0.1032386990389669331883069223703195417382e-67), SC_(-156.543912736139507484654652677755511734) }},
+      {{ SC_(-54.9999847412109375), SC_(-0.5162093131335660989607568848213731056733e-68), SC_(-157.2370292737399314379940741096346901828) }},
+      {{ SC_(-54.999969482421875), SC_(-0.258120475380070365932807313377307528986e-68), SC_(-157.9301151678094937244882657625299630878) }},
+      {{ SC_(-54.99993896484375), SC_(-0.129076058252601515431668371755594450098e-68), SC_(-158.6231397731033117444057763960015760334) }},
+      {{ SC_(-54.9998779296875), SC_(-0.6455385318809423304687659289501264852653e-69), SC_(-159.3160417939895574585734203633457962732) }},
+      {{ SC_(-54.999755859375), SC_(-0.3229275765697223526481784197301709161285e-69), SC_(-160.0086986186363225879842786767213113941) }},
+      {{ SC_(-54.99951171875), SC_(-0.1616222390439127298761439614470246404862e-69), SC_(-160.70086494110676672055309472267163668) }},
+      {{ SC_(-54.9990234375), SC_(-0.8096985096986489455731873769112931053315e-70), SC_(-161.3920498204348601342401201789602276343) }},
+      {{ SC_(-54.998046875), SC_(-0.4064422003228156070372890110113661523823e-70), SC_(-162.0812700583149908077227373306519861132) }},
+      {{ SC_(-54.99609375), SC_(-0.2048253768707794232109022149495560465895e-70), SC_(-162.7665539925744016887591545718340828031) }},
+      {{ SC_(-54.9921875), SC_(-0.1040399076590405899054222579682253865197e-70), SC_(-163.4439372355377521596244089121137210432) }},
+      {{ SC_(-54.984375), SC_(-0.5369420317824801296090020359957584504561e-71), SC_(-164.1054067411408869986598886088213583004) }},
+      {{ SC_(-54.96875), SC_(-0.2862019916619447982849309567142574291595e-71), SC_(-164.7345990554747140245090340482576614581) }},
+      {{ SC_(-54.9375), SC_(-0.1630184748946170270451320476784206632433e-71), SC_(-165.2974333442636798880161449262335724888) }},
+      {{ SC_(-54.875), SC_(-0.1068084665867092473960298264876009169786e-71), SC_(-165.7202596830189416811721153572453840111) }},
+      {{ SC_(-54.875), SC_(-0.1068084665867092473960298264876009169786e-71), SC_(-165.7202596830189416811721153572453840111) }},
+      {{ SC_(-54.75), SC_(-0.9545836185625177195542164628822374598687e-72), SC_(-165.8326067306542059861208673933569437798) }},
+      {{ SC_(-54.625), SC_(-0.1206186475649396145903288691554707530168e-71), SC_(-165.5986629859610336595561650158366255984) }},
+      {{ SC_(-54.5), SC_(-0.183923628246499558424938393274965246202e-71), SC_(-165.1767762739909689670975862547818473059) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 141> gammap1m1_data = { {
+      {{ SC_(-0.4952165186405181884765625), SC_(0.7559827693907095754807809442951050489732) }}, 
+      {{ SC_(-0.4642883241176605224609375), SC_(0.6574328869566978138139138799311066062094) }}, 
+      {{ SC_(-0.4024595916271209716796875), SC_(0.4948624198600628575485791492257182331098) }}, 
+      {{ SC_(-0.3901382386684417724609375), SC_(0.466994695902624837582482771934607569504) }}, 
+      {{ SC_(-0.3875354826450347900390625), SC_(0.4612760821854033810460931227828015343156) }}, 
+      {{ SC_(-0.373013198375701904296875), SC_(0.4303940312894863907637421435297095229576) }}, 
+      {{ SC_(-0.364522993564605712890625), SC_(0.4131121158463471061555369932726425070959) }}, 
+      {{ SC_(-0.35811364650726318359375), SC_(0.4004260060282522370607617707987066040664) }}, 
+      {{ SC_(-0.342386901378631591796875), SC_(0.3705491389143732767395411311340356537958) }}, 
+      {{ SC_(-0.311618030071258544921875), SC_(0.3168394199636867612664810682360364987851) }}, 
+      {{ SC_(-0.2880756855010986328125), SC_(0.2795634828731819295069040561405863199118) }}, 
+      {{ SC_(-0.27896595001220703125), SC_(0.2659494215075372040950689557832739194382) }}, 
+      {{ SC_(-0.221501767635345458984375), SC_(0.1892800230490205183297725744929501015544) }}, 
+      {{ SC_(-0.202970564365386962890625), SC_(0.1675837744862475402389911769714649852773) }}, 
+      {{ SC_(-0.191832959651947021484375), SC_(0.1551782986717939911912971517092154248689) }}, 
+      {{ SC_(-0.1387059986591339111328125), SC_(0.1019358076187795495751950704491293377337) }}, 
+      {{ SC_(-0.1012614667415618896484375), SC_(0.06964849559574637322009665674759450635903) }}, 
+      {{ SC_(-0.0782387256622314453125), SC_(0.05168944861403749320872745190411594799105) }}, 
+      {{ SC_(-0.0146243572235107421875), SC_(0.008655823217365420051945171708362679166147) }}, 
+      {{ SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.8263215150028947028222714725368343067077e-30) }}, 
+      {{ SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.1034062776504410791508686126702507453693e-29) }}, 
+      {{ SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.3471155206456177563387123499681270341265e-29) }}, 
+      {{ SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.6684464764687909153739175517973613571261e-29) }}, 
+      {{ SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.8210646944165041873250036406993552111264e-29) }}, 
+      {{ SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.2868831708235014101261168518349749234889e-28) }}, 
+      {{ SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.5575949162564024099347963251548294827165e-28) }}, 
+      {{ SC_(0.1232929313253182131376331095427391968754e-27), SC_(-0.7116661133260258147780879126862696392479e-28) }}, 
+      {{ SC_(0.3296523285617759312781860549364832953326e-27), SC_(-0.1902804880171240659658521971091414147824e-27) }}, 
+      {{ SC_(0.528364435768055252017009628713605422886e-27), SC_(-0.3049802291021812635024061181080113889506e-27) }}, 
+      {{ SC_(0.886586057273120049620324386849842094685e-27), SC_(-0.5117513605413324831805933701656815521236e-27) }}, 
+      {{ SC_(0.2499669674831043259218157022821422146034e-26), SC_(-0.1442848493391799075204112945868205575921e-26) }}, 
+      {{ SC_(0.4131050397232622964314362671638736040881e-26), SC_(-0.2384507001780369908735157814349257650306e-26) }}, 
+      {{ SC_(0.7679738097881433551381658732998641759182e-26), SC_(-0.4432865132438264916724504940164877771849e-26) }}, 
+      {{ SC_(0.199929739820949207249437007767740538737e-25), SC_(-0.1154025777043396680338534232061371984153e-25) }}, 
+      {{ SC_(0.5151477415246978459754129800826163591626e-25), SC_(-0.2973513461467014566158126478567428007026e-25) }}, 
+      {{ SC_(0.101200734533556026342258477595279955025e-24), SC_(-0.5841464927231005972586520769367701801272e-25) }}, 
+      {{ SC_(0.2064292695896540981798546456623054911033e-24), SC_(-0.1191542081013299677372796818685763621433e-24) }}, 
+      {{ SC_(0.4063294332896333395257434433879773416284e-24), SC_(-0.2345397140053387487331153502526122099635e-24) }}, 
+      {{ SC_(0.8138195767936862452966745688936976428456e-24), SC_(-0.4697494081288516881709792363579127898501e-24) }}, 
+      {{ SC_(0.9575550627132253801929510132578249716542e-24), SC_(-0.5527157822038433842858279196451987644551e-24) }}, 
+      {{ SC_(0.2855160956298500804375620841706273850616e-23), SC_(-0.1648043629790735548426012109835882111878e-23) }}, 
+      {{ SC_(0.65201444297915461398563707001320281266e-23), SC_(-0.3763529502296153146061378052316774680657e-23) }}, 
+      {{ SC_(0.1310988374636350038320977491775043421995e-22), SC_(-0.7567230263439006455136418784154172627278e-23) }}, 
+      {{ SC_(0.2590288837798696209228010176465529547374e-22), SC_(-0.1495155293796993236481538654450094828034e-22) }}, 
+      {{ SC_(0.2937779542193655202274099291941187976629e-22), SC_(-0.1695732371781431498672748630538267989951e-22) }}, 
+      {{ SC_(0.7863513178004503049754083414326234074965e-22), SC_(-0.4538942987503834952636621253829968594981e-22) }}, 
+      {{ SC_(0.1903818607087388763706780167350761726053e-21), SC_(-0.109891392314185724619218859435147914583e-21) }}, 
+      {{ SC_(0.3812242142377350870566942975497647799754e-21), SC_(-0.2200485882977986685255989911406099731464e-21) }}, 
+      {{ SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.3170722751854215599980143372792630827825e-21) }}, 
+      {{ SC_(0.9672153634284186955666772243312215295852e-21), SC_(-0.5582918591043124472447977064584587087382e-21) }}, 
+      {{ SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.9825188868017248805929057833465618943933e-21) }}, 
+      {{ SC_(0.4817114569977399785676754474621208412799e-20), SC_(-0.2780513989416366360400948471972900830387e-20) }}, 
+      {{ SC_(0.7538352992756463183303278501219690799218e-20), SC_(-0.4351255434976382024407146526549699565796e-20) }}, 
+      {{ SC_(0.2596305715949999708394617609422128090557e-19), SC_(-0.1498628330119729391523576917959646915902e-19) }}, 
+      {{ SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.2565485517668431887674899070788880246089e-19) }}, 
+      {{ SC_(0.9715574921498573937069095571295029856174e-19), SC_(-0.5607982038213457280620337061143959968827e-19) }}, 
+      {{ SC_(0.2036598542733453787268262970278076551267e-18), SC_(-0.1175556581981383412558675525031327289634e-18) }}, 
+      {{ SC_(0.4248971931658660264162106698360155121463e-18), SC_(-0.2452573158680304024128136998709195441154e-18) }}, 
+      {{ SC_(0.6521097487613458963613731825259556273977e-18), SC_(-0.3764079622200518159115220576707372289309e-18) }}, 
+      {{ SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.8289545186912702312307596583951073368993e-18) }}, 
+      {{ SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1800283075323116855097674712567357424907e-17) }}, 
+      {{ SC_(0.3593346613595175715618300349429858897565e-17), SC_(-0.2074135954788010816821644850649799519675e-17) }}, 
+      {{ SC_(0.9445874854124767215374919304693435151421e-17), SC_(-0.5452306934500297136990208691880314661067e-17) }}, 
+      {{ SC_(0.2566182432094081539023303073498993853718e-16), SC_(-0.1481240698799817909729203530750507585117e-16) }}, 
+      {{ SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.1941618252298598450712101459398214835952e-16) }}, 
+      {{ SC_(0.1073581901339262605326457800103412409953e-15), SC_(-0.6196882910077942026172170471644452240087e-16) }}, 
+      {{ SC_(0.186668406231853462907965823802669547149e-15), SC_(-0.1077479282192287023344331697438668504475e-15) }}, 
+      {{ SC_(0.3727540802657755688795382376099496468669e-15), SC_(-0.2151594942853688563255514533064804448857e-15) }}, 
+      {{ SC_(0.6211646767866855090717281839829411183018e-15), SC_(-0.3585459819247720488263755672803206966864e-15) }}, 
+      {{ SC_(0.1561186859754253464932505224282976996619e-14), SC_(-0.9011415112885851355703262394946230181441e-15) }}, 
+      {{ SC_(0.3092010764722992466335682593125966377556e-14), SC_(-0.1784757049442269726369719145429686196432e-14) }}, 
+      {{ SC_(0.6192850577371690132255643845837767003104e-14), SC_(-0.3574610363653403859138387348420733335946e-14) }}, 
+      {{ SC_(0.1047879028014987723427253740737796761096e-13), SC_(-0.6048521898920322580919537460083385958307e-14) }}, 
+      {{ SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.1142005977018810929368580238123776497134e-13) }}, 
+      {{ SC_(0.4041816252346730475863978426787070930004e-13), SC_(-0.2332999655507978182935820166341591465938e-13) }}, 
+      {{ SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.5431773877604405885692410233977439758357e-13) }}, 
+      {{ SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.7703117505534481432167486795079037095016e-13) }}, 
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.1537108122261681912683838906901126667239e-12) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.3417356583762410657228951913532598329392e-12) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.8956308525005437046951559037146364454014e-12) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1887052485148118271327652592003779278951e-11) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.2166744030260566997416579153839836535144e-11) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.5529244432689301568675461523208969657637e-11) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(-0.1072563353975220567027440177997243696045e-10) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.3145528284818088265306644806429650505592e-10) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.3514965854368603547185748339618264962e-10) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(-0.7721672402075083279577276691763777798079e-10) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(-0.1474473672534405166880467009401481006846e-9) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(-0.5359796691714968347006887450221011388011e-9) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(-0.980243482442200345890191122898173278899e-9) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1958815525210918994679361737180445367869e-8) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.3644383041872783822741274272616254061398e-8) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(-0.4838951666662356901644608730186546413827e-8) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(-0.1132861391263510827635198807950784606364e-7) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(-0.3034067396263077516870264512967026960836e-7) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(-0.6709685761311096545819618213723265238395e-7) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(-0.1025666084085592538025029643343934584008e-6) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(-0.142359317011220184093241753035251343271e-6) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(-0.4578866108069128537168607745624614794722e-6) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(-0.791991995861101927407880386227298092424e-6) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(-0.1239553101482841564081262476002391564028e-5) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(-0.3042030180348038757030022358659056016131e-5) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(-0.5329441960781667799420300524501852822265e-5) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(-0.1554926893050895772896453957379474045684e-4) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(-0.1851639610824637542072201121307897455015e-4) }}, 
+      {{ SC_(0.00010957030463032424449920654296875), SC_(-0.6323382317252073303439803607481865268353e-4) }}, 
+      {{ SC_(0.000126518702018074691295623779296875), SC_(-0.7301274674392621832822527575061291232133e-4) }}, 
+      {{ SC_(0.00028976381872780621051788330078125), SC_(-0.0001671731931845284705043154051351730706298) }}, 
+      {{ SC_(0.000687857042066752910614013671875), SC_(-0.0003965741858362509385654340724912705823236) }}, 
+      {{ SC_(0.00145484809763729572296142578125), SC_(-0.0008376704829300962209037156359622989708524) }}, 
+      {{ SC_(0.00366270542144775390625), SC_(-0.002100946766981816464155333982357752904999) }}, 
+      {{ SC_(0.046881496906280517578125), SC_(-0.02497588947336944943591732868959193811385) }}, 
+      {{ SC_(0.04722058773040771484375), SC_(-0.02514197077286474061941968460870171431946) }}, 
+      {{ SC_(0.1323592662811279296875), SC_(-0.06091072639354085529687250076608036167983) }}, 
+      {{ SC_(0.139763355255126953125), SC_(-0.06350237679012056526225278765134891026831) }}, 
+      {{ SC_(0.155740678310394287109375), SC_(-0.06883441875617310404657299803607175885806) }}, 
+      {{ SC_(0.17873513698577880859375), SC_(-0.07590347542832235360535014668688262042636) }}, 
+      {{ SC_(0.1813595294952392578125), SC_(-0.07666619009216679212771233211297326572625) }}, 
+      {{ SC_(0.225838959217071533203125), SC_(-0.08828121583826801836069461556215827733624) }}, 
+      {{ SC_(0.292207300662994384765625), SC_(-0.1013142147509511845410398110728244632327) }}, 
+      {{ SC_(0.297928631305694580078125), SC_(-0.1022125377703106514269725748156778633457) }}, 
+      {{ SC_(0.29810583591461181640625), SC_(-0.1022398124529602122123098193784073635017) }}, 
+      {{ SC_(0.30028045177459716796875), SC_(-0.1025718475377491669113360177547935208456) }}, 
+      {{ SC_(0.314723670482635498046875), SC_(-0.1046527148786850527567817015912636515928) }}, 
+      {{ SC_(0.335008561611175537109375), SC_(-0.1072166100764849221291653907100739024018) }}, 
+      {{ SC_(0.34912931919097900390625), SC_(-0.1087597918806720999316678995289547437333) }}, 
+      {{ SC_(0.378430664539337158203125), SC_(-0.1113472284261879798379642546535625292991) }}, 
+      {{ SC_(0.405791938304901123046875), SC_(-0.1130363541503776146472634379575969350382) }}, 
+      {{ SC_(0.4133758544921875), SC_(-0.1133834162443148976453781329005327033269) }}, 
+      {{ SC_(0.415735542774200439453125), SC_(-0.1134808289122708542397946052703635909288) }}, 
+      {{ SC_(0.43399322032928466796875), SC_(-0.1140666251072475325460987089801937766512) }}, 
+      {{ SC_(0.457166969776153564453125), SC_(-0.1143882508090213200510081514983929178479) }}, 
+      {{ SC_(0.457506835460662841796875), SC_(-0.1143895043011533114503086722896019260013) }}, 
+      {{ SC_(0.4594924449920654296875), SC_(-0.1143948425572877686750521180317509748309) }}, 
+      {{ SC_(0.464888513088226318359375), SC_(-0.1143922664386800836288584840918904877633) }}, 
+      {{ SC_(0.467694938182830810546875), SC_(-0.1143810844126184461958335384166685988825) }}, 
+      {{ SC_(0.468867778778076171875), SC_(-0.114374421494214380845931849419009841586) }}, 
+      {{ SC_(0.470592796802520751953125), SC_(-0.1143624939837521390307936225841266176506) }}, 
+      {{ SC_(0.481109678745269775390625), SC_(-0.1142351916017016455044428590981136786372) }}, 
+      {{ SC_(0.492881298065185546875), SC_(-0.1139822218283491394475161618135268104636) }}, 
+      {{ SC_(0.496461331844329833984375), SC_(-0.1138823102618022293565213085801050842487) }}
+   } };
+
diff --git a/src/boost/libs/math/test/test_gamma_dist.cpp b/src/boost/libs/math/test/test_gamma_dist.cpp
new file mode 100644
index 00000000..7ee1ee5d
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_dist.cpp
@@ -0,0 +1,268 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_gamma_dist.cpp
+
+// http://en.wikipedia.org/wiki/Gamma_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda366b.htm
+// Also:
+// Weisstein, Eric W. "Gamma Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/GammaDistribution.html
+
+#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/gamma.hpp>
+    using boost::math::gamma_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType NaivePDF(RealType shape, RealType scale, RealType x)
+{
+   // Deliberately naive PDF calculator again which
+   // we'll compare our pdf function.  However some
+   // published values to compare against would be better....
+   using namespace std;
+   RealType result = log(x) * (shape - 1) - x / scale - boost::math::lgamma(shape) - log(scale) * shape;
+   return exp(result);
+}
+
+template <class RealType>
+void check_gamma(RealType shape, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         gamma_distribution<RealType>(shape, scale),    // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            gamma_distribution<RealType>(shape, scale), // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            gamma_distribution<RealType>(shape, scale),    // distribution.
+            p),                                            // probability.
+            x,                                             // random variable.
+            tol);                                          // %tolerance.
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(
+               gamma_distribution<RealType>(shape, scale), // distribution.
+               q)),                                        // probability complement.
+            x,                                             // random variable.
+            tol);                                          // %tolerance.
+   }
+   // PDF:
+   BOOST_CHECK_CLOSE(
+      boost::math::pdf(
+         gamma_distribution<RealType>(shape, scale),    // distribution.
+         x),                                            // random variable.
+         NaivePDF(shape, scale, x),                     // PDF
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // 15 decimal places expressed as a persentage.
+   // The first tests use values generated by MathCAD,
+   // and should be accurate to around double precision.
+   //
+   RealType tolerance = (std::max)(RealType(5e-14f), std::numeric_limits<RealType>::epsilon() * 20) * 100;
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_gamma(
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(0.682689492137085),
+      static_cast<RealType>(1-0.682689492137085),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(0.090204010431050),
+      static_cast<RealType>(1-0.090204010431050),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(40),
+      static_cast<RealType>(1),
+      static_cast<RealType>(10),
+      static_cast<RealType>(7.34163631456064E-13),
+      static_cast<RealType>(1-7.34163631456064E-13),
+      tolerance);
+
+   //
+   // Some more test data generated by the online
+   // calculator at http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   // This has the advantage of supporting the scale parameter as well
+   // as shape, but has only a few digits accuracy, and produces
+   // some deeply suspect values if the shape parameter is < 1
+   // (it doesn't agree with MathCAD or this implementation).
+   // To be fair the incomplete gamma is tricky to get right in this area...
+   //
+   tolerance = 1e-5f * 100; // 5 decimal places as a persentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1)/5,
+      static_cast<RealType>(0.1),
+      static_cast<RealType>(0.090204),
+      static_cast<RealType>(1-0.090204),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1)/5,
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(1-0.287298),
+      static_cast<RealType>(0.287298),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(3),
+      static_cast<RealType>(2),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.014388),
+      static_cast<RealType>(1-0.014388),
+      tolerance * 10); // one less decimal place in the test value
+   check_gamma(
+      static_cast<RealType>(3),
+      static_cast<RealType>(2),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0.456187),
+      static_cast<RealType>(1-0.456187),
+      tolerance);
+
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a persentage
+    gamma_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8*3), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(8*3*3), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , sqrt(static_cast<RealType>(8*3*3)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(7 * 3), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , 2 / sqrt(static_cast<RealType>(8)), tol2);
+    // kertosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , 3 + 6 / static_cast<RealType>(8), tol2);
+    // kertosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , 6 / static_cast<RealType>(8), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist), static_cast<RealType>(23.007748327502412), // double precision test value
+       (std::max)(tol2, static_cast<RealType>(std::numeric_limits<double>::epsilon() * 2 * 100))); // 2 eps as persent
+    // Rely on default definition in derived accessors.
+
+   // error tests
+   check_out_of_range<boost::math::gamma_distribution<RealType> >(1, 1);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(0, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(1, -1), std::domain_error);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_gamma_dist.exe"
+Running 1 test case...
+Tolerance for type float is 0.000238419 %
+Tolerance for type float is 0.001 %
+Tolerance for type double is 5e-012 %
+Tolerance for type double is 0.001 %
+Tolerance for type long double is 5e-012 %
+Tolerance for type long double is 0.001 %
+Tolerance for type class boost::math::concepts::real_concept is 5e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 0.001 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_gamma_hooks.hpp b/src/boost/libs/math/test/test_gamma_hooks.hpp
new file mode 100644
index 00000000..b07c5b83
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_hooks.hpp
@@ -0,0 +1,281 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_GAMMA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_GAMMA_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double gamma(double);
+   float gammaf(float);
+   long double gammal(long double);
+   double lgam(double);
+   float lgamf(float);
+   long double lgaml(long double);
+   float igamf(float, float);
+   double igam(double, double);
+   long double igaml(long double, long double);
+   float igamcf(float, float);
+   double igamc(double, double);
+   long double igamcl(long double, long double);
+}
+inline float tgamma(float x)
+{ return gammaf(x); }
+inline double tgamma(double x)
+{ return gamma(x); }
+inline long double tgamma(long double x)
+{
+#ifdef BOOST_MSVC
+   return gamma((double)x); 
+#else
+   return gammal(x); 
+#endif
+}
+inline float lgamma(float x)
+{ return lgamf(x); }
+inline double lgamma(double x)
+{ return lgam(x); }
+inline long double lgamma(long double x)
+{
+#ifdef BOOST_MSVC
+   return lgam((double)x); 
+#else
+   return lgaml(x); 
+#endif
+}
+inline float gamma_q(float x, float y)
+{ return igamcf(x, y); }
+inline double gamma_q(double x, double y)
+{ return igamc(x, y); }
+inline long double gamma_q(long double x, long double y)
+{
+#ifdef BOOST_MSVC
+   return igamc((double)x, (double)y); 
+#else
+   return igamcl(x, y); 
+#endif
+}
+inline float gamma_p(float x, float y)
+{ return igamf(x, y); }
+inline double gamma_p(double x, double y)
+{ return igam(x, y); }
+inline long double gamma_p(long double x, long double y)
+{
+#ifdef BOOST_MSVC
+   return igam((double)x, (double)y); 
+#else
+   return igaml(x, y); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_NATIVE
+#include <math.h>
+namespace other{
+#if defined(__FreeBSD__)
+// no float version:
+inline float tgamma(float x)
+{ return ::tgamma(x); }
+#else
+inline float tgamma(float x)
+{ return ::tgammaf(x); }
+#endif
+inline double tgamma(double x)
+{ return ::tgamma(x); }
+inline long double tgamma(long double x)
+{ 
+#if defined(__CYGWIN__) || defined(__FreeBSD__)
+   // no long double versions:
+   return ::tgamma(x);
+#else
+   return ::tgammal(x);
+#endif
+}
+#if defined(__FreeBSD__)
+inline float lgamma(float x)
+{ return ::lgamma(x); }
+#else
+inline float lgamma(float x)
+{ return ::lgammaf(x); }
+#endif
+inline double lgamma(double x)
+{ return ::lgamma(x); }
+inline long double lgamma(long double x)
+{ 
+#if defined(__CYGWIN__) || defined(__FreeBSD__) 
+   // no long double versions:
+   return ::lgamma(x); 
+#else
+   return ::lgammal(x); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#define TEST_OTHER
+#include <gsl/gsl_sf_gamma.h>
+
+namespace other{
+float tgamma(float z)
+{
+   return (float)gsl_sf_gamma(z);
+}
+double tgamma(double z)
+{
+   return gsl_sf_gamma(z);
+}
+long double tgamma(long double z)
+{
+   return gsl_sf_gamma(z);
+}
+float lgamma(float z)
+{
+   return (float)gsl_sf_lngamma(z);
+}
+double lgamma(double z)
+{
+   return gsl_sf_lngamma(z);
+}
+long double lgamma(long double z)
+{
+   return gsl_sf_lngamma(z);
+}
+inline float gamma_q(float x, float y)
+{ return (float)gsl_sf_gamma_inc_Q(x, y); }
+inline double gamma_q(double x, double y)
+{ return gsl_sf_gamma_inc_Q(x, y); }
+inline long double gamma_q(long double x, long double y)
+{ return gsl_sf_gamma_inc_Q(x, y); }
+inline float gamma_p(float x, float y)
+{ return (float)gsl_sf_gamma_inc_P(x, y); }
+inline double gamma_p(double x, double y)
+{ return gsl_sf_gamma_inc_P(x, y); }
+inline long double gamma_p(long double x, long double y)
+{ return gsl_sf_gamma_inc_P(x, y); }
+}
+#endif
+
+#ifdef TEST_DCDFLIB
+#define TEST_OTHER
+#include <dcdflib.h>
+
+namespace other{
+float tgamma(float z)
+{
+   double v = z;
+   return (float)gamma_x(&v);
+}
+double tgamma(double z)
+{
+   return gamma_x(&z);
+}
+long double tgamma(long double z)
+{
+   double v = z;
+   return gamma_x(&v);
+}
+float lgamma(float z)
+{
+   double v = z;
+   return (float)gamma_log(&v);
+}
+double lgamma(double z)
+{
+   double v = z;
+   return gamma_log(&v);
+}
+long double lgamma(long double z)
+{
+   double v = z;
+   return gamma_log(&v);
+}
+inline double gamma_q(double x, double y)
+{ 
+   double ans, qans;
+   int i = 0;
+   gamma_inc (&x, &y, &ans, &qans, &i); 
+   return qans;
+}
+inline float gamma_q(float x, float y)
+{ 
+   return (float)gamma_q((double)x, (double)y); 
+}
+inline long double gamma_q(long double x, long double y)
+{ 
+   return gamma_q((double)x, (double)y); 
+}
+inline double gamma_p(double x, double y)
+{ 
+   double ans, qans;
+   int i = 0;
+   gamma_inc (&x, &y, &ans, &qans, &i); 
+   return ans;
+}
+inline float gamma_p(float x, float y)
+{ 
+   return (float)gamma_p((double)x, (double)y); 
+}
+inline long double gamma_p(long double x, long double y)
+{ 
+   return gamma_p((double)x, (double)y); 
+}
+
+inline double gamma_q_inv(double x, double y)
+{ 
+   double ans, p, nul;
+   int i = 0;
+   p = 1 - y;
+   nul = 0;
+   gamma_inc_inv (&x, &ans, &nul, &p, &y, &i); 
+   return ans;
+}
+inline float gamma_q_inv(float x, float y)
+{ 
+   return (float)gamma_q_inv((double)x, (double)y); 
+}
+inline long double gamma_q_inv(long double x, long double y)
+{ 
+   return gamma_q_inv((double)x, (double)y); 
+}
+inline double gamma_p_inv(double x, double y)
+{ 
+   double ans, p, nul;
+   int i = 0;
+   p = 1 - y;
+   nul = 0;
+   gamma_inc_inv (&x, &ans, &nul, &y, &p, &i); 
+   return ans;
+}
+inline float gamma_p_inv(float x, float y)
+{ 
+   return (float)gamma_p_inv((double)x, (double)y); 
+}
+inline long double gamma_p_inv(long double x, long double y)
+{ 
+   return gamma_p_inv((double)x, (double)y); 
+}
+
+}
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept tgamma(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept lgamma(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_q(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_p(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_p_inv(boost::math::concepts::real_concept x, boost::math::concepts::real_concept y){ return 0; }
+   boost::math::concepts::real_concept gamma_q_inv(boost::math::concepts::real_concept x, boost::math::concepts::real_concept y){ return 0; }
+}
+#endif
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_gamma_mp.cpp b/src/boost/libs/math/test/test_gamma_mp.cpp
new file mode 100644
index 00000000..f5da84e9
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_mp.cpp
@@ -0,0 +1,179 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_STRINGIZE(x))
+#endif
+
+template <class Real, class T>
+void do_test_gamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && (!defined(TGAMMA_FUNCTION_TO_TEST) || !defined(LGAMMA_FUNCTION_TO_TEST)))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma<value_type>;
+#else
+   pg funcp = boost::math::tgamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma", test_name);
+   //
+   // test lgamma against data:
+   //
+#ifdef LGAMMA_FUNCTION_TO_TEST
+   funcp = LGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::lgamma<value_type>;
+#else
+   funcp = boost::math::lgamma;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "lgamma", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value, gamma and lgamma:
+   //
+   // gamma and lgamma at integer and half integer values:
+   // boost::array<boost::array<T, 3>, N> factorials;
+   //
+   // gamma and lgamma for z near 0:
+   // boost::array<boost::array<T, 3>, N> near_0;
+   //
+   // gamma and lgamma for z near 1:
+   // boost::array<boost::array<T, 3>, N> near_1;
+   //
+   // gamma and lgamma for z near 2:
+   // boost::array<boost::array<T, 3>, N> near_2;
+   //
+   // gamma and lgamma for z near -10:
+   // boost::array<boost::array<T, 3>, N> near_m10;
+   //
+   // gamma and lgamma for z near -55:
+   // boost::array<boost::array<T, 3>, N> near_m55;
+   //
+   // The last two cases are chosen more or less at random,
+   // except that one is even and the other odd, and both are
+   // at negative poles.  The data near zero also tests near
+   // a pole, the data near 1 and 2 are to probe lgamma as
+   // the result -> 0.
+   //
+#  include "tgamma_mp_data.hpp"
+
+   do_test_gamma<T>(factorials, name, "factorials");
+   do_test_gamma<T>(near_0, name, "near 0");
+   do_test_gamma<T>(near_1, name, "near 1");
+   do_test_gamma<T>(near_2, name, "near 2");
+   do_test_gamma<T>(near_m10, name, "near -10");
+   do_test_gamma<T>(near_m55, name, "near -55");
+}
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "number<cpp_bin_float<65> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 9000, 4000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "number<cpp_bin_float<75> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 60000, 20000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_100|number<cpp_bin_float<85> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 600000, 300000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "lgamma", 4800, 2500);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "[tl]gamma", 100, 50);            // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   expected_results();
+   using namespace boost::multiprecision;
+   test_gamma(number<cpp_bin_float<38> >(0), "number<cpp_bin_float<38> >");
+   test_gamma(number<cpp_bin_float<45> >(0), "number<cpp_bin_float<45> >");
+   test_gamma(cpp_bin_float_50(0), "cpp_bin_float_50");
+   test_gamma(number<cpp_bin_float<55> >(0), "number<cpp_bin_float<55> >");
+   test_gamma(number<cpp_bin_float<65> >(0), "number<cpp_bin_float<65> >");
+   test_gamma(number<cpp_bin_float<75> >(0), "number<cpp_bin_float<75> >");
+   test_gamma(number<cpp_bin_float<85> >(0), "number<cpp_bin_float<85> >");
+   test_gamma(cpp_bin_float_100(0), "cpp_bin_float_100");
+}
diff --git a/src/boost/libs/math/test/test_geometric.cpp b/src/boost/libs/math/test/test_geometric.cpp
new file mode 100644
index 00000000..33fbb8d4
--- /dev/null
+++ b/src/boost/libs/math/test/test_geometric.cpp
@@ -0,0 +1,802 @@
+// test_geometric.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for Geometric Distribution.
+
+// Note that these defines must be placed BEFORE #includes.
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+// because several tests overflow & underflow by design.
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/geometric.hpp> // for geometric_distribution
+using boost::math::geometric_distribution;
+using boost::math::geometric; // using typedef for geometric_distribution<double>
+
+#include <boost/math/distributions/negative_binomial.hpp> // for some comparisons.
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot( // Test a single spot value against 'known good' values.
+               RealType k,    // Number of failures.
+               RealType p,    // Probability of success_fraction.
+               RealType P,    // CDF probability.
+               RealType Q,    // Complement of CDF.
+               RealType tol)  // Test tolerance.
+{
+   boost::math::geometric_distribution<RealType> g(p);
+   BOOST_CHECK_EQUAL(p, g.success_fraction());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(g, k), P, tol);
+
+  if((P < 0.99) && (Q < 0.99))
+  {
+    // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error:
+    //
+    BOOST_CHECK_CLOSE_FRACTION(
+      cdf(complement(g, k)), Q, tol);
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(g, P), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(g, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(g, Q)), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(g, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+  } //   if((P < 0.99) && (Q < 0.99))
+
+    // Parameter estimation test:  estimate success ratio:
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_lower_bound_on_p(
+      1+k, P),
+      p, 0.02); // Wide tolerance needed for some tests.
+   // Note we bump up the sample size here, purely for the sake of the test,
+    // internally the function has to adjust the sample size so that we get
+    // the right upper bound, our test undoes this, so we can verify the result.
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_upper_bound_on_p(
+      1+k+1, Q),
+      p, 0.02);
+
+    if(Q < P)
+    {
+       //
+       // We check two things here, that the upper and lower bounds
+       // are the right way around, and that they do actually bracket
+       // the naive estimate of p = successes / (sample size)
+       //
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, Q)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, Q)
+        );
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, Q)
+        <=
+        1 / (1+k)
+        );
+      BOOST_CHECK(
+        1 / (1+k)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, Q)
+        );
+    }
+    else
+    {
+       // As above but when P is small.
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, P)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, P)
+        );
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k,  P)
+        <=
+        1 / (1+k)
+        );
+      BOOST_CHECK(
+        1 / (1+k)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, P)
+        );
+    }
+
+    // Estimate sample size:
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_minimum_number_of_trials(
+      k, p, P),
+      1+k, 0.02); // Can differ 50 to 51 for small p
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_maximum_number_of_trials(
+         k, p, Q),
+      1+k, 0.02);
+
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks.
+  // Most test data is to double precision (17 decimal digits) only,
+
+  cout << "Floating point Type is " << typeid(RealType).name() << endl;
+
+  // so set tolerance to 1000 eps expressed as a fraction,
+  // or 1000 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+    (boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 10; // 10 eps
+
+  cout << "Tolerance = " << tolerance << "." << endl;
+
+  RealType tol1eps = boost::math::tools::epsilon<RealType>(); // Very tight, suit exact values.
+  //RealType tol2eps = boost::math::tools::epsilon<RealType>() * 2; // Tight,  values.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // Wider 5 epsilon.
+  cout << "Tolerance 5 eps = " << tol5eps << "." << endl;
+
+
+  // Sources of spot test values are mainly R.
+
+  using boost::math::geometric_distribution;
+  using boost::math::geometric;
+  using boost::math::cdf;
+  using boost::math::pdf;
+  using boost::math::quantile;
+  using boost::math::complement;
+
+  BOOST_MATH_STD_USING // for std math functions
+
+  // Test geometric using cdf spot values R
+  // These test quantiles and complements as well.
+
+  test_spot(  //
+  static_cast<RealType>(2),   // Number of failures, k
+  static_cast<RealType>(0.5), // Probability of success as fraction, p
+  static_cast<RealType>(0.875L), // Probability of result (CDF), P
+  static_cast<RealType>(0.125L),  // complement CCDF Q = 1 - P
+  tolerance);
+
+  test_spot( //
+  static_cast<RealType>(0),    // Number of failures, k
+  static_cast<RealType>(0.25), // Probability of success as fraction, p
+  static_cast<RealType>(0.25),   // Probability of result (CDF), P
+  static_cast<RealType>(0.75),   // Q = 1 - P
+  tolerance);
+
+  test_spot(
+    // R formatC(pgeom(10,0.25), digits=17) [1] "0.95776486396789551"
+    // formatC(pgeom(10,0.25, FALSE), digits=17) [1] "0.042235136032104499"
+
+  static_cast<RealType>(10),  // Number of failures, k
+  static_cast<RealType>(0.25),  // Probability of success, p
+  static_cast<RealType>(0.95776486396789551L),  // Probability of result (CDF), P
+  static_cast<RealType>(0.042235136032104499L), // Q = 1 - P
+  tolerance);
+
+  test_spot(  //
+  // > R formatC(pgeom(50,0.25, TRUE), digits=17) [1] "0.99999957525875771"
+  // > R formatC(pgeom(50,0.25, FALSE), digits=17) [1] "4.2474124232020353e-07"
+  static_cast<RealType>(50),     // Number of failures, k
+  static_cast<RealType>(0.25),     // Probability of success, p
+  static_cast<RealType>(0.99999957525875771),  // Probability of result (CDF), P
+  static_cast<RealType>(4.2474124232020353e-07),   // Q = 1 - P
+  tolerance);
+  /*
+  // This causes failures in find_upper_bound_on_p p is small branch.
+  test_spot(  // formatC(pgeom(50,0.01, TRUE), digits=17)[1] "0.40104399353383874"
+    // > formatC(pgeom(50,0.01, FALSE), digits=17) [1] "0.59895600646616121"
+  static_cast<RealType>(50), // Number of failures, k
+  static_cast<RealType>(0.01),   // Probability of success, p
+  static_cast<RealType>(0.40104399353383874),   // Probability of result (CDF), P
+  static_cast<RealType>(0.59895600646616121),   // Q = 1 - P
+  tolerance);
+  */
+
+  test_spot( // > formatC(pgeom(50,0.99, TRUE), digits=17) [1] "                 1"
+    // formatC(pgeom(50,0.99, FALSE), digits=17) [1] "1.0000000000000364e-102"
+  static_cast<RealType>(50),     // Number of failures, k
+  static_cast<RealType>(0.99),    // Probability of success, p
+  static_cast<RealType>(1), // Probability of result (CDF), P
+  static_cast<RealType>(1.0000000000000364e-102),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // > formatC(pgeom(1,0.99, TRUE), digits=17) [1] "0.99990000000000001"
+    // > formatC(pgeom(1,0.99, FALSE), digits=17) [1] "0.00010000000000000009"
+  static_cast<RealType>(1),     // Number of failures, k
+  static_cast<RealType>(0.99),                    // Probability of success, p
+  static_cast<RealType>(0.9999),     // Probability of result (CDF), P
+  static_cast<RealType>(0.0001),   // Q = 1 - P
+  tolerance);
+
+if(std::numeric_limits<RealType>::is_specialized)
+{ // An extreme value test that is more accurate than using negative binomial.
+  // Since geometric only uses exp and log functions.
+  test_spot(  // > formatC(pgeom(10000, 0.001, TRUE), digits=17) [1] "0.99995487182736897"
+// > formatC(pgeom(10000,0.001, FALSE), digits=17) [1] "4.5128172631071587e-05"
+  static_cast<RealType>(10000L), // Number of failures, k
+  static_cast<RealType>(0.001L),                    // Probability of success, p
+  static_cast<RealType>(0.99995487182736897L),     // Probability of result (CDF), P
+  static_cast<RealType>(4.5128172631071587e-05L),   // Q = 1 - P
+  tolerance); //
+  } // numeric_limit is specialized
+ // End of single spot tests using RealType
+
+  // Tests on PDF:
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(0,0.5), digits=17)[1] " 0.5"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(0,0.5), digits=17)[1] "    0.5"
+    //  R treates geom as a discrete distribution.
+    // > formatC(dgeom(1.999999,0.5, FALSE), digits=17) [1] "   0"
+    // Warning message:
+    // In dgeom(1.999999, 0.5, FALSE) : non-integer x = 1.999999
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0001L) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.4999653438420768L), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] " 0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treates geom as a discrete distribution.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0001L) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.4999653438420768L), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // formatC(dgeom(1,0.01), digits=17)[1] "0.0099000000000000008"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.01L)),
+  static_cast<RealType>(1) ),  // Number of failures, k
+  static_cast<RealType>(0.0099000000000000008), //
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(1,0.99), digits=17)[1] "0.0099000000000000043"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(1) ),  // Number of failures, k
+  static_cast<RealType>(0.00990000000000000043L), //
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> > formatC(dgeom(0,0.99), digits=17)[1] "0.98999999999999999"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(0) ),  // Number of failures, k
+  static_cast<RealType>(0.98999999999999999L), //
+  tolerance);
+
+  // p  near unity.
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(dgeom(100,0.99), digits=17)[1] "9.9000000000003448e-201"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(100) ),  // Number of failures, k
+  static_cast<RealType>(9.9000000000003448e-201L), //
+  100 * tolerance); // Note difference
+
+    // p nearer unity.
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999)),
+  static_cast<RealType>(10) ),  // Number of failures, k
+  // static_cast<double>(9.9989999999889024e-41), // Boost.Math
+  // static_cast<float>(1.00156406e-040)
+  static_cast<RealType>(9.999e-41), // exact from 100 digit calculator.
+  2e3 * tolerance); // Note bigger tolerance needed.
+
+  // Moshier Cephes 100 digits calculator says 9.999e-41
+  //0.9999*pow(1-0.9999,10)
+  // 9.9990000000000000000000000000000000000000000000000000000000000000000000E-41
+  // 9.998999999988988e-041
+  // > formatC(dgeom(10, 0.9999), digits=17) [1] "9.9989999999889024e-41"
+  // p *  pow(q, k)         9.9989999999889880e-041
+  // exp(p * k * log1p(-p)) 9.9989999999889024e-041
+
+
+
+  // 0.9999999999 * pow(1-0.9999999999,10)=  9.9999999990E-101
+  // > formatC(dgeom(10,0.9999999999), digits=17)  [1] "1.0000008273040127e-100"
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999999999L)),
+  static_cast<RealType>(10) ),  //
+  static_cast<RealType>(9.9999999990E-101L), // 1.0000008273040179e-100
+  1e9 * tolerance); // Note big tolerance needed.
+  // 1.0000008273040179e-100  Boost.Math
+  // 1.0000008273040127e-100  R
+  // 0.9999999990000004e-100  100 digit calculator 'exact'
+
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.00000000001L)),
+  static_cast<RealType>(10) ),  //
+  static_cast<RealType>(9.999999999e-12L), // get 9.9999999989999994e-012
+  1 * tolerance); // Note small tolerance needed.
+
+
+    BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.00000000001L)),
+  static_cast<RealType>(1000) ),  //
+  static_cast<RealType>(9.9999999e-12L), // get 9.9999998999999913e-012
+  tolerance); // Note small tolerance needed.
+
+
+  ///////////////////////////////////////////////////
+  BOOST_CHECK_CLOSE_FRACTION( //
+    // > formatC(dgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treates geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(0.0001L)) ),  // Number of failures, k is very small but MADE integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  // R switches over at about 1e7 from k = 0, returning 0.5,  to k = 1, returning 0.25.
+  // Boost.Math does not do this, even for 0.9999999999999999
+  // > formatC(pgeom(0.999999,0.5, FALSE), digits=17) [1] "               0.5"
+  // > formatC(pgeom(0.9999999,0.5, FALSE), digits=17) [1] "              0.25"
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] "               0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treates geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(0.9999999999999999L)) ),  // Number of failures, k is very small but MADE integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] "               0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treates geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(1. - tolerance)) ),
+  // Number of failures, k is very small but MADE integral,
+  // Need to use tolerance here,
+  // as epsilon is ill-defined for Real concept:
+  // numeric_limits<RealType>::epsilon()  0
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance * 10);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.0001L)),
+  static_cast<RealType>(2)),  // k = 2.
+  static_cast<RealType>(9.99800010e-5L), // 'exact '
+  tolerance);
+
+  //> formatC(dgeom(2, 0.9999), digits=17) [1] "9.9989999999977806e-09"
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(2)),  // k = 0
+  static_cast<RealType>(9.999e-9L), // 'exact'
+  1000*tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(3)),  // k = 3
+  static_cast<RealType>(9.999e-13L), // get
+  1000*tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(5)),  // k = 5
+  static_cast<RealType>(9.999e-21L), //  9.9989999999944947e-021
+  1000*tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>( static_cast<RealType>(0.0001L)),
+  static_cast<RealType>(3)),  // k = 0.
+  static_cast<RealType>(9.99700029999e-5L), //
+  tolerance);
+   // Tests on cdf:
+  // MathCAD pgeom k, r, p) == failures, successes, probability.
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), // prob 0.5
+    static_cast<RealType>(0) ), // k = 0
+    static_cast<RealType>(0.5), // probability =p
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), //
+    static_cast<RealType>(0) )), // k = 0
+    static_cast<RealType>(0.5), // probability =
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)), // prob 0.5
+    static_cast<RealType>(1) ), // k = 0
+    static_cast<RealType>(0.4375L), // probability =p
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)), //
+    static_cast<RealType>(1) )), // k = 0
+    static_cast<RealType>(1-0.4375L), // probability =
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), //
+    static_cast<RealType>(1) )), // k = 0
+    static_cast<RealType>(0.25), // probability = exact 0.25
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //
+    cdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+    static_cast<RealType>(4)),  // k =4.
+    static_cast<RealType>(0.96875L), // exact
+    tolerance);
+
+
+  // Tests of other functions, mean and other moments ...
+
+  geometric_distribution<RealType> dist(static_cast<RealType>(0.25));
+  // mean:
+  BOOST_CHECK_CLOSE_FRACTION(
+    mean(dist), static_cast<RealType>((1 - 0.25) /0.25), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(
+    mode(dist), static_cast<RealType>(0), tol1eps);
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(
+    variance(dist), static_cast<RealType>((1 - 0.25) / (0.25 * 0.25)), tol5eps);
+
+  // std deviation:
+  // sqrt(0.75/0.125)
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    standard_deviation(dist), //
+    static_cast<RealType>(sqrt((1.0L - 0.25L) / (0.25L * 0.25L))), // using 100 digit calc
+    tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    skewness(dist), //
+    static_cast<RealType>((2-0.25L) /sqrt(0.75L)),
+    // using calculator
+    tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis_excess(dist), //
+    static_cast<RealType>(6 + 0.0625L/0.75L), //
+    tol5eps);
+  // 6.083333333333333  6.166666666666667
+  BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis(dist), // true
+    static_cast<RealType>(9 + 0.0625L/0.75L), //
+    tol5eps);
+  // hazard:
+  RealType x = static_cast<RealType>(0.125);
+  BOOST_CHECK_CLOSE_FRACTION(
+  hazard(dist, x)
+  , pdf(dist, x) / cdf(complement(dist, x)), tol5eps);
+  // cumulative hazard:
+  BOOST_CHECK_CLOSE_FRACTION(
+  chf(dist, x), -log(cdf(complement(dist, x))), tol5eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(
+  coefficient_of_variation(dist)
+  , standard_deviation(dist) / mean(dist), tol5eps);
+
+  // Special cases for PDF:
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(0)), //
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(0)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(1)),
+  static_cast<RealType>(0.001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(1)),
+  static_cast<RealType>(8)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_SMALL(
+  pdf(
+   geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0))-
+  static_cast<RealType>(0.25),
+  2 * boost::math::tools::epsilon<RealType>() ); // Expect exact, but not quite.
+  // numeric_limits<RealType>::epsilon()); // Not suitable for real concept!
+
+  // Quantile boundary cases checks:
+  BOOST_CHECK_EQUAL(
+  quantile(  // zero P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL(
+  quantile(  // min P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be near zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::epsilon<RealType>())), //
+  static_cast<RealType>(0),
+    tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0),
+    tolerance);
+
+  //BOOST_CHECK(  // Fails with overflow for real_concept
+  //quantile(  // Small P near 1 so k failures should be big.
+  //geometric_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>())) <=
+  //static_cast<RealType>(189.56999032670058)  // 106.462769 for float
+  //);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_THROW_ON_OVERFLOW_POLICY ==  throw_on_error would throw here.
+    // #define BOOST_MAT_DOMAIN_ERROR_POLICY IS defined throw_on_error,
+    //  so the throw path of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_CHECK(
+    quantile(  // At P == 1 so k failures should be infinite.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)) ==
+    //static_cast<RealType>(boost::math::tools::infinity<RealType>())
+    static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+
+    BOOST_CHECK_EQUAL(
+    quantile(  // At 1 == P  so should be infinite.
+    geometric_distribution<RealType>( static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)), //
+    std::numeric_limits<RealType>::infinity() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    std::numeric_limits<RealType>::infinity() );
+   } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, so check it throws rather than returning infinity.
+    BOOST_CHECK_EQUAL(
+    quantile(  // At P == 1 so k failures should be infinite.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),
+    boost::math::tools::max_value<RealType>() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    boost::math::tools::max_value<RealType>());
+  } // has infinity
+
+  BOOST_CHECK( // Should work for built-in and real_concept.
+  quantile(complement(  // Q near to 1 so P nearly 1, so should be large > 300.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())))
+   >= static_cast<RealType>(300) );
+
+  BOOST_CHECK_EQUAL(
+  quantile(  //  P ==  0 < cdf(0) so should be zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  // Quantile Complement boundary cases:
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q = 1 so P = 0 < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>( static_cast<RealType>(0.25)),
+  static_cast<RealType>(1))),
+  static_cast<RealType>(0)
+  );
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q very near 1 so P == epsilon < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>()))),
+  static_cast<RealType>(0)
+  );
+
+  // Check that duff arguments throw domain_error:
+
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)),
+  std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative k argument !
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error);
+  //BOOST_MATH_CHECK_THROW(
+  //pdf( // check limit on k (failures)
+  //geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  //std::numeric_limits<RealType>infinity()),
+  //std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf(  // Negative k argument !
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  quantile(  // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  quantile( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error);
+   check_out_of_range<geometric_distribution<RealType> >(0.5);
+  // End of check throwing 'duff' out-of-domain values.
+
+  { // Compare geometric and negative binomial functions.
+    using boost::math::negative_binomial_distribution;
+    using boost::math::geometric_distribution;
+
+    RealType k = static_cast<RealType>(2.L);
+    RealType alpha = static_cast<RealType>(0.05L);
+    RealType p = static_cast<RealType>(0.5L);
+
+    BOOST_CHECK_CLOSE_FRACTION( // Successes parameter in negative binomial is 1 for geometric.
+      geometric_distribution<RealType>::find_lower_bound_on_p(k, alpha),
+      negative_binomial_distribution<RealType>::find_lower_bound_on_p(k, static_cast<RealType>(1), alpha),
+      tolerance);
+    BOOST_CHECK_CLOSE_FRACTION( // Successes parameter in negative binomial is 1 for geometric.
+      geometric_distribution<RealType>::find_upper_bound_on_p(k, alpha),
+      negative_binomial_distribution<RealType>::find_upper_bound_on_p(k, static_cast<RealType>(1), alpha),
+      tolerance);
+    BOOST_CHECK_CLOSE_FRACTION( // Should be identical - successes parameter is not used.
+       geometric_distribution<RealType>::find_maximum_number_of_trials(k, p, alpha),
+      negative_binomial_distribution<RealType>::find_maximum_number_of_trials(k, p, alpha),
+    tolerance);
+  }
+    //geometric::find_upper_bound_on_p(k, alpha);
+   return;
+} // template <class RealType> void test_spots(RealType) // Any floating-point type RealType.
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate geometric distribution using the two convenience methods:
+   using namespace boost::math;
+   geometric g05d(0.5); // Using typedef - default type is double.
+   geometric_distribution<> g05dd(0.5); // Using default RealType double.
+
+  // Basic sanity-check spot values.
+
+  // Test some simple double only examples.
+  geometric_distribution<double> mydist(0.25);
+  // success fraction == 0.25 == 25% or 1 in 4 successes.
+  // Note: double values (matching the distribution definition) avoid the need for any casting.
+
+  // Check accessor functions return exact values for double at least.
+  BOOST_CHECK_EQUAL(mydist.success_fraction(), static_cast<double>(1./4.));
+
+  //cout << numeric_limits<RealType>::epsilon() << endl;
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+  #endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+
+
+*/
diff --git a/src/boost/libs/math/test/test_hankel.cpp b/src/boost/libs/math/test/test_hankel.cpp
new file mode 100644
index 00000000..f961234d
--- /dev/null
+++ b/src/boost/libs/math/test/test_hankel.cpp
@@ -0,0 +1,149 @@
+//  Copyright John Maddock 2012
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/array.hpp>
+#include <boost/math/special_functions/hankel.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756 4127) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Hankel H1 and H2 functions.  
+// These are basically just a few spot tests, since the underlying implementation
+// is the same as for the Bessel functions.
+//
+template <class T>
+void check_close(const std::complex<T>& a, const std::complex<T>& b)
+{
+   T tol = boost::math::tools::epsilon<T>() * 3000;
+   BOOST_CHECK_CLOSE_FRACTION(a.real(), b.real(), tol);
+   BOOST_CHECK_CLOSE_FRACTION(a.imag(), b.imag(), tol);
+}
+
+template <class T>
+void test_hankel(T, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+   static const boost::array<boost::array<std::complex<T>, 4>, 16> data = 
+   {{
+      // Values are v, z, J, and Y.
+      // H1 and H2 are calculated from functions.wolfram.com.
+      {{ 0, 1, static_cast<T>(0.765197686557966551449717526102663220909274289755325241861548L), static_cast<T>(0.0882569642156769579829267660235151628278175230906755467110438L) }},
+      {{ 20, 15.5, static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L) }},
+      {{ 202, 65, static_cast<T>(4.03123907894335908039069177339845754619082182624766366629474e-77L), static_cast<T>(-4.12853948338543234456930697819285129000267780751856135651604e73L) }},
+      {{ 1.25, 2.25, static_cast<T>(0.548918751190427983177518806565451279306141559548962787802891L), static_cast<T>(-0.125900744882628421758627761371862848797979705547465002154794L) }},
+      {{ -20, 15.5, static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L) }},
+      {{ -20, -15.5,  static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), std::complex<T>(static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L), static_cast<T>(0.02293713380990817602651477783478906808826396979495858276983L))}},
+      {{ 1.25, -1.5, std::complex<T>(static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L),  static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L)), std::complex<T>(static_cast<T>(0.392747687664481978664420363126684555843062241632017696636768L), static_cast<T>(-1.064174689596320710944032343580374825637063404484853460948911L)) }},
+      {{ -1.25, -1.5, std::complex<T>(static_cast<T>(0.515099846311769525023685454389374962206960751452481078650112L),  static_cast<T>(-0.515099846311769525023685454389374962206960751452481078650112L)), std::complex<T>(static_cast<T>(-0.040329260174013212604062774398331485097569895404765001721544L), static_cast<T>(0.989870432449525837443308134380418439316351607500197155578680L)) }},
+      {{ 4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+      {{ 4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+      {{ -4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+      {{ -4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+      {{ 3, 3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L) }},
+      {{ 3, -3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(-0.618125444510503287236520389893666298858271871986113588708949L)) }},
+      {{ -3, 3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L) }},
+      {{ -3, -3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(0.618125444510503287236520389893666298858271871986113588708949L)) }},
+   }};
+
+   std::complex<T> im(0, 1);
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if((i != 2) || (std::numeric_limits<T>::max_exponent10 > 80))
+      {
+         check_close(boost::math::cyl_hankel_1(data[i][0].real(), data[i][1].real()), data[i][2] + im * data[i][3]);
+         check_close(boost::math::cyl_hankel_2(data[i][0].real(), data[i][1].real()), data[i][2] - im * data[i][3]);
+
+         check_close(
+            boost::math::cyl_hankel_1(data[i][0].real() + 0.5f, data[i][1].real()) * boost::math::constants::root_half_pi<T>() / sqrt(data[i][1]),
+            boost::math::sph_hankel_1(data[i][0].real(), data[i][1].real()));
+         check_close(
+            boost::math::cyl_hankel_2(data[i][0].real() + 0.5f, data[i][1].real()) * boost::math::constants::root_half_pi<T>() / sqrt(data[i][1]),
+            boost::math::sph_hankel_2(data[i][0].real(), data[i][1].real()));
+      }
+   }
+}
+
+//
+// Instantiate a few instances to check our error handling code can cope with std::complex:
+//
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::denorm_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::underflow_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::domain_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::pole_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::rounding_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::throw_on_error> > pol1;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol1>(double, double, const pol1&);
+
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::denorm_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::underflow_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::domain_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::pole_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::rounding_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::errno_on_error> > pol2;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol2>(double, double, const pol2&);
+
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+   boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+   boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+   boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+   boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+   boost::math::policies::rounding_error<boost::math::policies::ignore_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::ignore_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::ignore_error> > pol3;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol3>(double, double, const pol3&);
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_hankel(0.1F, "float");
+#endif
+   test_hankel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_hankel(0.1L, "long double");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_hermite.cpp b/src/boost/libs/math/test/test_hermite.cpp
new file mode 100644
index 00000000..87875fa8
--- /dev/null
+++ b/src/boost/libs/math/test/test_hermite.cpp
@@ -0,0 +1,116 @@
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include"test_hermite.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Hermite polynomials.  
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      "hermite", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      "hermite", 10, 5);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+   boost::math::hermite(51, 915.0);
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_hermite(0.1F, "float");
+#endif
+   test_hermite(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_hermite(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_hermite(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_hermite.hpp b/src/boost/libs/math/test/test_hermite.hpp
new file mode 100644
index 00000000..0b00677e
--- /dev/null
+++ b/src/boost/libs/math/test/test_hermite.hpp
@@ -0,0 +1,106 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant
+#  pragma warning(disable : 4512) // assignment operator could not be generated
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_hermite(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(HERMITE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef HERMITE_FUNCTION_TO_TEST
+   pg funcp = HERMITE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hermite<value_type>;
+#else
+   pg funcp = boost::math::hermite;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hermite against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hermite", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_hermite(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "hermite.ipp"
+
+   do_test_hermite<T>(hermite, name, "Hermite Polynomials");
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   // These spots were generated by MathCAD, precision is 
+   // 14-16 digits.
+   //
+   T tolerance = (std::max)(boost::math::tools::epsilon<T>() * 100, static_cast<T>(1e-14));
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(0, static_cast<T>(1)), static_cast<T>(1.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1)), static_cast<T>(2.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(2)), static_cast<T>(4.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(10)), static_cast<T>(20), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(100)), static_cast<T>(200), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e6)), static_cast<T>(2e6), tolerance);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e307)), static_cast<T>(2e307), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(99, static_cast<T>(100)), static_cast<T>(4.967223743011310E+227L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(30)), static_cast<T>(5.896624628001300E+17L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(1000)), static_cast<T>(1.023976960161280E+33L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(10)), static_cast<T>(8.093278209760000E+12L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(-10)), static_cast<T>(8.093278209760000E+12L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-10)), static_cast<T>(-7.880000000000000E+3L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000)), static_cast<T>(-7.999988000000000E+9L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000000)), static_cast<T>(-7.999999999988000E+18L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_heuman_lambda.cpp b/src/boost/libs/math/test/test_heuman_lambda.cpp
new file mode 100644
index 00000000..83709c63
--- /dev/null
+++ b/src/boost/libs/math/test/test_heuman_lambda.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_heuman_lambda.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_heuman_lambda.hpp b/src/boost/libs/math/test/test_heuman_lambda.hpp
new file mode 100644
index 00000000..023b2e71
--- /dev/null
+++ b/src/boost/libs/math/test/test_heuman_lambda.hpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_heuman_lambda(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(HEUMAN_LAMBDA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef HEUMAN_LAMBDA_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = HEUMAN_LAMBDA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::heuman_lambda;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "heuman_lambda", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 5> data1 = {{
+       { { SC_(0.25), SC_(0.5), SC_(0.231195544262270355901990821099667428154924832224446817213200) } },
+       { { SC_(-0.25), SC_(0.5), SC_(-0.231195544262270355901990821099667428154924832224446817213200) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.792745183008071035953588061452801838417979005666066982987549) } },
+        { { SC_(1), T(0), SC_(0.841470984807896506652502321630298999622563060798371065672751) } },
+    }};
+
+    do_test_heuman_lambda<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "heuman_lambda_data.ipp"
+
+    do_test_heuman_lambda<T>(heuman_lambda_data, type_name, "Elliptic Integral Heuman Lambda: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_hyperexponential_dist.cpp b/src/boost/libs/math/test/test_hyperexponential_dist.cpp
new file mode 100644
index 00000000..f739c099
--- /dev/null
+++ b/src/boost/libs/math/test/test_hyperexponential_dist.cpp
@@ -0,0 +1,388 @@
+// Copyright 2014 Marco Guazzone (marco.guazzone@gmail.com).
+//
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+
+#include <algorithm>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/distributions/complement.hpp>
+#include <boost/math/distributions/hyperexponential.hpp>
+#include <boost/math/tools/precision.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <cstddef>
+#include <iostream>
+#include <vector>
+
+#define BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(T, actual, expected, tol) \
+    do {                                                                      \
+        std::vector<T> x = (actual);                                          \
+        std::vector<T> y = (expected);                                        \
+        BOOST_CHECK_EQUAL( x.size(), y.size() );                              \
+        const std::size_t n = x.size();                                       \
+        for (std::size_t i = 0; i < n; ++i)                                   \
+        {                                                                     \
+            BOOST_CHECK_CLOSE( x[i], y[i], tol );                             \
+        }                                                                     \
+    } while(false)
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+typedef boost::mpl::list<float, double, long double, boost::math::concepts::real_concept> test_types;
+#else
+typedef boost::mpl::list<float, double> test_types;
+#endif
+
+template <typename RealT>
+RealT make_tolerance()
+{
+    // Tolerance is 100eps expressed as a persentage (as required by Boost.Build):
+    return boost::math::tools::epsilon<RealT>() * 100 * 100;
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(klass, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    boost::math::hyperexponential_distribution<RealT> dist;
+    BOOST_CHECK_EQUAL(dist.num_phases(), 1);
+    BOOST_CHECK_CLOSE(dist.probabilities()[0], static_cast<RealT>(1L), tol);
+    BOOST_CHECK_CLOSE(dist.rates()[0], static_cast<RealT>(1L), tol);
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist_it(probs, probs+n, rates, rates+n);
+    BOOST_CHECK_EQUAL(dist_it.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_it.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_it.rates(), std::vector<RealT>(rates, rates+n), tol);
+    
+    boost::math::hyperexponential_distribution<RealT> dist_r(probs, rates);
+    BOOST_CHECK_EQUAL(dist_r.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.rates(), std::vector<RealT>(rates, rates+n), tol);
+    
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
+    boost::math::hyperexponential_distribution<RealT> dist_il = {{static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L)}, {static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L)}};
+    BOOST_CHECK_EQUAL(dist_il.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_il.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_il.rates(), std::vector<RealT>(rates, rates+n), tol);
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_r = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    BOOST_CHECK_EQUAL(dist_n_r.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L / 3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r.rates(), std::vector<RealT>(rates, rates + n), tol);
+#endif // BOOST_NO_CXX11_HDR_INITIALIZER_LIST
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_it(rates, rates+n);
+    BOOST_CHECK_EQUAL(dist_n_it.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_it.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L/3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_it.rates(), std::vector<RealT>(rates, rates+n), tol);
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_r2(rates);
+    BOOST_CHECK_EQUAL(dist_n_r2.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r2.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L/3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r2.rates(), std::vector<RealT>(rates, rates+n), tol);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(range, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    std::pair<RealT,RealT> res;
+    res = boost::math::range(dist);
+
+    BOOST_CHECK_CLOSE( res.first, static_cast<RealT>(0), tol );
+    if(std::numeric_limits<RealT>::has_infinity)
+    {
+       BOOST_CHECK_EQUAL(res.second, std::numeric_limits<RealT>::infinity());
+    }
+    else
+    {
+       BOOST_CHECK_EQUAL(res.second, boost::math::tools::max_value<RealT>());
+    }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(support, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    std::pair<RealT,RealT> res;
+    res = boost::math::support(dist);
+
+    BOOST_CHECK_CLOSE( res.first, boost::math::tools::min_value<RealT>(), tol );
+    BOOST_CHECK_CLOSE( res.second, boost::math::tools::max_value<RealT>(), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1), static_cast<RealT>(1.5) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[PDF[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(0)), static_cast<RealT>(1.15L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(1)), static_cast<RealT>(0.33836451843401841053899743762056570L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(2)), static_cast<RealT>(0.11472883036402599696225903724543774L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(3)), static_cast<RealT>(0.045580883928883895659238122486617681L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(4)), static_cast<RealT>(0.020887284122781292094799231452333314L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[CDF[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(0)), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(1)), static_cast<RealT>(0.65676495563182570433394272657131939L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(2)), static_cast<RealT>(0.86092999261079575662302418965093162L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(3)), static_cast<RealT>(0.93488334919083369807146961400871370L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(4)), static_cast<RealT>(0.96619887559772402832156211090812241L), tol );
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(quantile, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[Quantile[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], p], 35], {p, {0.`35, 0.6567649556318257043339427265713193884067872189124925936717`35, 0.8609299926107957566230241896509316171726985139265620607067`35, 0.9348833491908336980714696140087136988562861627183715044229`35, 0.9661988755977240283215621109081224127091468307592751727719`35}}]
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0)), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.65676495563182570433394272657131939L)), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.86092999261079575662302418965093162L)), static_cast<RealT>(2), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.93488334919083369807146961400871370L)), static_cast<RealT>(3), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.96619887559772402832156211090812241L)), static_cast<RealT>(4), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ccdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[SurvivalFunction[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(0))), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(1))), static_cast<RealT>(0.34323504436817429566605727342868061L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(2))), static_cast<RealT>(0.13907000738920424337697581034906838L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(3))), static_cast<RealT>(0.065116650809166301928530385991286301L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(4))), static_cast<RealT>(0.033801124402275971678437889091877587L), tol );
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cquantile, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[InverseSurvivalFunction[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], p], 35], {p, {1.`35, 0.3432350443681742956660572734286806115932127810875074063283`35, 0.1390700073892042433769758103490683828273014860734379392933`35, 0.0651166508091663019285303859912863011437138372816284955771`35, 0.0338011244022759716784378890918775872908531692407248272281`35}}]
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(1))), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.34323504436817429566605727342868061L))), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.13907000738920424337697581034906838L))), static_cast<RealT>(2), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.065116650809166301928530385991286301L))), static_cast<RealT>(3), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.033801124402275971678437889091877587L))), static_cast<RealT>(4), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mean, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Mean[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::mean(dist), static_cast<RealT>(1.0333333333333333333333333333333333L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(variance, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Variance[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::variance(dist), static_cast<RealT>(1.5766666666666666666666666666666667L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(kurtosis, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Kurtosis[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::kurtosis(dist), static_cast<RealT>(19.750738616808728416968743435138046L), tol );
+    // Mathematica: N[Kurtosis[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}] - 3.`35], 35]
+    BOOST_CHECK_CLOSE( boost::math::kurtosis_excess(dist), static_cast<RealT>(16.750738616808728416968743435138046L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(skewness, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Skewness[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::skewness(dist), static_cast<RealT>(3.1811387449963809211146099116375685L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mode, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    BOOST_CHECK_CLOSE( boost::math::mode(dist), static_cast<RealT>(0), tol );
+}
+
+template <class T>
+void f(T t)
+{
+   std::cout << typeid(t).name() << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE(construct)
+{
+   boost::array<double, 3> da1 = { { 0.5, 1, 1.5 } };
+   boost::array<double, 3> da2 = { { 0.25, 0.5, 0.25 } };
+   std::vector<double> v1(da1.begin(), da1.end());
+   std::vector<double> v2(da2.begin(), da2.end());
+
+   std::vector<double> result_v;
+   boost::math::hyperexponential he1(v2, v1);
+   result_v = he1.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he1.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+   boost::math::hyperexponential he2(da2, da1);
+   result_v = he2.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he2.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
+   std::initializer_list<double> il = { 0.25, 0.5, 0.25 };
+   std::initializer_list<double> il2 = { 0.5, 1, 1.5 };
+   boost::math::hyperexponential he3(il, il2);
+   result_v = he3.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he3.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+   boost::math::hyperexponential he4({ 0.25, 0.5, 0.25 }, { 0.5, 1.0, 1.5 });
+   result_v = he4.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he4.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+#endif
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(special_cases, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    // When the number of phases is 1, the hyperexponential distribution is an exponential distribution
+    const RealT rates1[] = { static_cast<RealT>(0.5L) };
+    boost::math::hyperexponential_distribution<RealT> hexp1(rates1);
+    boost::math::exponential_distribution<RealT> exp1(rates1[0]);
+    BOOST_CHECK_CLOSE(boost::math::pdf(hexp1, static_cast<RealT>(1L)), boost::math::pdf(exp1, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::cdf(hexp1, static_cast<RealT>(1L)), boost::math::cdf(exp1, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mean(hexp1), boost::math::mean(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::variance(hexp1), boost::math::variance(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp1, static_cast<RealT>(0.25L)), boost::math::quantile(exp1, static_cast<RealT>(0.25L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::median(hexp1), boost::math::median(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp1, static_cast<RealT>(0.75L)), boost::math::quantile(exp1, static_cast<RealT>(0.75L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mode(hexp1), boost::math::mode(exp1), tol);
+
+    // When a k-phase hyperexponential distribution has all rates equal to r, the distribution is an exponential distribution with rate r
+    const RealT rate2 = static_cast<RealT>(0.5L);
+    const RealT rates2[] = { rate2, rate2, rate2 };
+    boost::math::hyperexponential_distribution<RealT> hexp2(rates2);
+    boost::math::exponential_distribution<RealT> exp2(rate2);
+    BOOST_CHECK_CLOSE(boost::math::pdf(hexp2, static_cast<RealT>(1L)), boost::math::pdf(exp2, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::cdf(hexp2, static_cast<RealT>(1L)), boost::math::cdf(exp2, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mean(hexp2), boost::math::mean(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::variance(hexp2), boost::math::variance(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp2, static_cast<RealT>(0.25L)), boost::math::quantile(exp2, static_cast<RealT>(0.25L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::median(hexp2), boost::math::median(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp2, static_cast<RealT>(0.75L)), boost::math::quantile(exp2, static_cast<RealT>(0.75L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mode(hexp2), boost::math::mode(exp2), tol);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(error_cases, RealT, test_types)
+{
+   typedef boost::math::hyperexponential_distribution<RealT> dist_t;
+   boost::array<RealT, 2> probs = { { 1, 2 } };
+   boost::array<RealT, 3> probs2 = { { 1, 2, 3 } };
+   boost::array<RealT, 3> rates = { { 1, 2, 3 } };
+   BOOST_MATH_CHECK_THROW(dist_t(probs.begin(), probs.end(), rates.begin(), rates.end()), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(probs, rates), std::domain_error);
+   rates[1] = 0;
+   BOOST_MATH_CHECK_THROW(dist_t(probs2, rates), std::domain_error);
+   rates[1] = -1;
+   BOOST_MATH_CHECK_THROW(dist_t(probs2, rates), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(probs.begin(), probs.begin(), rates.begin(), rates.begin()), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(rates.begin(), rates.begin()), std::domain_error);
+}
diff --git a/src/boost/libs/math/test/test_hypergeometric_dist.cpp b/src/boost/libs/math/test/test_hypergeometric_dist.cpp
new file mode 100644
index 00000000..e49ec301
--- /dev/null
+++ b/src/boost/libs/math/test/test_hypergeometric_dist.cpp
@@ -0,0 +1,501 @@
+// Copyright John Maddock 2008
+// Copyright Paul A. Bristow 
+// Copyright Gautam Sewani
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/hypergeometric.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_EX(a) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was with data ";\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "x = " << x << ", r = " << r << ", n = " << n\
+         << ", N = " << N << ", p = " << cp << ", q = " << ccp << std::endl;\
+      }\
+   }
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((boost::math::tools::digits<long double>() > boost::math::tools::digits<double>())
+      && (boost::math::tools::digits<long double>() < 100))
+   {
+      //
+      // Some split of errors from long double into double:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "Random.*",                    // test data group
+         ".*", 1500, 1500);      // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                    // test data group
+         ".*", 10, 10);      // test function
+   }
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Random.*",                    // test data group
+      ".*", 250000000, 25000000);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Random.*",                    // test data group
+      ".*", 10000000, 5000000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);                 // test function
+}
+
+template <class T>
+inline unsigned make_unsigned(T x)
+{
+   return static_cast<unsigned>(x);
+}
+template<>
+inline unsigned make_unsigned(boost::math::concepts::real_concept x)
+{
+   return static_cast<unsigned>(x.value());
+}
+
+template <class T>
+T pdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return pdf(d, x);
+}
+
+template <class T>
+T cdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return cdf(d, x);
+}
+
+template <class T>
+T ccdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return cdf(complement(d, x));
+}
+
+template <class Real, class T>
+void do_test_hypergeometric(const T& data, const char* type_name, const char* test_name)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+
+#if !defined(TEST_QUANT) || (TEST_QUANT == 0)
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = pdf_tester<value_type>;
+#else
+   pg funcp = pdf_tester;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric PDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = cdf_tester<value_type>;
+#else
+   funcp = cdf_tester;
+#endif
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = ccdf_tester<value_type>;
+#else
+   funcp = ccdf_tester;
+#endif
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF complement", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_hypergeometric_quantile(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Checking quantiles with " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   if(boost::math::tools::digits<value_type>() > 50)
+   {
+      for(unsigned i = 0; i < data.size(); ++i)
+      {
+         using namespace boost::math::policies;
+
+         unsigned r = make_unsigned(data[i][0]);
+         unsigned n = make_unsigned(data[i][1]);
+         unsigned N = make_unsigned(data[i][2]);
+         unsigned x = make_unsigned(data[i][3]);
+         value_type cp = data[i][5];
+         value_type ccp = data[i][6];
+         //
+         // A bit of warning suppression:
+         //
+         (void)x;
+         (void)n;
+         (void)r;
+         (void)N;
+         (void)cp;
+         (void)ccp;
+
+#if !defined(TEST_QUANT) || (TEST_QUANT == 1)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_up> > > du(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(du, cp) >= x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(du, ccp)) >= x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 2)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_down> > > dl(r, n, N);
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(dl, cp) <= x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(dl, ccp)) <= x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 3)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_nearest> > > dn(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(dn, cp) == x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(dn, ccp)) == x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 4)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_outwards> > > dou(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            if(cp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(dou, cp) <= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(dou, cp) >= x);
+            }
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            if(ccp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(complement(dou, ccp)) >= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(complement(dou, ccp)) <= x);
+            }
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 5)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_inwards> > > di(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            if(cp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(di, cp) >= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(di, cp) <= x);
+            }
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            if(ccp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(complement(di, ccp)) <= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(complement(di, ccp)) >= x);
+            }
+         }
+#endif
+      }
+   }
+}
+
+
+template <class RealType>
+void test_spot(unsigned x, unsigned n, unsigned r, unsigned N, 
+               RealType p, RealType cp, RealType ccp, RealType tol)
+{
+   //
+   // A bit of warning suppression:
+   //
+   (void)x;
+   (void)n;
+   (void)r;
+   (void)N;
+   (void)p;
+   (void)cp;
+   (void)ccp;
+   (void)tol;
+#if !defined(TEST_QUANT) || (TEST_QUANT == 0)
+   boost::math::hypergeometric_distribution<RealType> d(r, n, N);
+
+   std::pair<unsigned, unsigned> extent = range(d);
+   // CDF's:
+   BOOST_CHECK_CLOSE(pdf(d, x), p, tol);
+   BOOST_CHECK_CLOSE(cdf(d, x), cp, tol);
+   BOOST_CHECK_CLOSE(cdf(complement(d, x)), ccp, tol);
+   // Again with real-value arguments:
+   BOOST_CHECK_CLOSE(pdf(d, static_cast<RealType>(x)), p, tol);
+   BOOST_CHECK_CLOSE(cdf(d, static_cast<RealType>(x)), cp, tol);
+   BOOST_CHECK_CLOSE(cdf(complement(d, static_cast<RealType>(x))), ccp, tol);
+   //
+   // Quantiles, don't bother checking these for type float
+   // as there's not enough precision in the p and q values
+   // to get back to where we started:
+   //
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      using namespace boost::math::policies;
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_up> > > du(r, n, N);
+
+      BOOST_CHECK_EX(quantile(du, cp) >= x);
+      BOOST_CHECK_EX(quantile(complement(du, ccp)) >= x);
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_down> > > dl(r, n, N);
+      BOOST_CHECK_EX(quantile(dl, cp) <= x);
+      BOOST_CHECK_EX(quantile(complement(dl, ccp)) <= x);
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_nearest> > > dn(r, n, N);
+
+      BOOST_CHECK_EX(quantile(dn, cp) == x);
+      BOOST_CHECK_EX(quantile(complement(dn, ccp)) == x);
+   }
+   //
+   // Error checking of out of bounds arguments:
+   //
+   BOOST_MATH_CHECK_THROW(pdf(d, extent.second + 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(d, extent.second + 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(d, extent.second + 1)), std::domain_error);
+   if(extent.first > 0)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(d, extent.first - 1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, extent.first - 1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, extent.first - 1)), std::domain_error);
+   }
+   BOOST_MATH_CHECK_THROW(quantile(d, 1.1f), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, 1.1f)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(d, -0.001f), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, -0.001f)), std::domain_error);
+   //
+   // Checking of extreme values:
+   //
+   BOOST_CHECK_EQUAL(quantile(d, 0), extent.first);
+   BOOST_CHECK_EQUAL(quantile(d, 1), extent.second);
+   BOOST_CHECK_EQUAL(quantile(complement(d, 0)), extent.second);
+   BOOST_CHECK_EQUAL(quantile(complement(d, 1)), extent.first);
+   BOOST_CHECK_EQUAL(cdf(d, extent.second), 1);
+   BOOST_CHECK_EQUAL(cdf(complement(d, extent.second)), 0);
+#endif
+}
+
+template <class RealType>
+void test_spots(RealType /*T*/, const char* type_name)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // Test data taken from Mathematica 6
+#define T RealType
+#include "hypergeometric_test_data.ipp"
+   do_test_hypergeometric<T>(hypergeometric_test_data, type_name, "Mathematica data");
+
+#include "hypergeometric_dist_data2.ipp"
+   if(boost::is_floating_point<RealType>::value)
+   {
+      //
+      // Don't test this for real_concept: it's too slow!!!
+      //
+      do_test_hypergeometric<T>(hypergeometric_dist_data2, type_name, "Random large data");
+   }
+
+   do_test_hypergeometric_quantile<T>(hypergeometric_test_data, type_name, "Mathematica data");
+   if(boost::is_floating_point<RealType>::value)
+   {
+      //
+      // Don't test this for real_concept: it's too slow!!!
+      //
+      do_test_hypergeometric_quantile<T>(hypergeometric_dist_data2, type_name, "Random large data");
+   }
+
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(2e-16L),    // limit of test data
+      boost::math::tools::epsilon<RealType>());
+   cout<<"Absolute tolerance:"<<tolerance<<endl;
+   
+   tolerance *= 50 * 100; // 50eps as a persentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   //
+   // These sanity check values were calculated using the online
+   // calculator at http://stattrek.com/Tables/Hypergeometric.aspx
+   // It's assumed that the test values are accurate to no more than
+   // double precision.
+   //
+   test_spot(20, 200, 50, 500, static_cast<T>(0.120748236361163), static_cast<T>(0.563532430195156), static_cast<T>(1 - 0.563532430195156), tolerance);
+   test_spot(53, 452, 64, 500, static_cast<T>(0.0184749573044286), static_cast<T>(0.0299118078796907), static_cast<T>(1 - 0.0299118078796907), tolerance);
+   test_spot(32, 1287, 128, 5000, static_cast<T>(0.0807012167418264), static_cast<T>(0.469768774237742), static_cast<T>(1 - 0.469768774237742), tolerance);
+   test_spot(1, 13, 4, 26, static_cast<T>(0.248695652173913), static_cast<T>(0.296521739130435), static_cast<T>(1 - 0.296521739130435), tolerance);
+   test_spot(2, 13, 4, 26, static_cast<T>(0.40695652173913), static_cast<T>(0.703478260869565), static_cast<T>(1 - 0.703478260869565), tolerance);
+   test_spot(3, 13, 4, 26, static_cast<T>(0.248695652173913), static_cast<T>(0.952173913043478), static_cast<T>(1 - 0.952173913043478), tolerance);
+   test_spot(40, 70, 89, 170, static_cast<T>(0.0721901023798991), static_cast<T>(0.885447799131944), static_cast<T>(1 - 0.885447799131944), tolerance);
+
+   boost::math::hypergeometric_distribution<RealType> d(50, 200, 500);
+   BOOST_CHECK_EQUAL(range(d).first, 0u);
+   BOOST_CHECK_EQUAL(range(d).second, 50u);
+   BOOST_CHECK_CLOSE(mean(d), static_cast<RealType>(20), tolerance);
+   BOOST_CHECK_CLOSE(mode(d), static_cast<RealType>(20), tolerance);
+   BOOST_CHECK_CLOSE(variance(d), static_cast<RealType>(10.821643286573146292585170340681L), tolerance);
+   BOOST_CHECK_CLOSE(skewness(d), static_cast<RealType>(0.048833071022952084732902910189366L), tolerance);
+   BOOST_CHECK_CLOSE(kurtosis_excess(d), static_cast<RealType>(2.5155486690782804816404001878293L), tolerance);
+   BOOST_CHECK_CLOSE(kurtosis(d), kurtosis_excess(d) + 3, tolerance);
+   BOOST_CHECK_EQUAL(quantile(d, 0.5f), median(d));
+
+   BOOST_MATH_CHECK_THROW(d = boost::math::hypergeometric_distribution<RealType>(501, 40, 500), std::domain_error);
+   BOOST_MATH_CHECK_THROW(d = boost::math::hypergeometric_distribution<RealType>(40, 501, 500), std::domain_error);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F, "float"); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+   test_spots(0.0, "double"); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double"); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0), "real_concept"); // Test real_concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_ibeta.cpp b/src/boost/libs/math/test/test_ibeta.cpp
new file mode 100644
index 00000000..5bd4d158
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta.cpp
@@ -0,0 +1,332 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ibeta.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta functions beta, 
+// betac, ibeta and ibetac.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Darwin: just one special case for real_concept:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 400000, 50000);             // test function
+
+   //
+   // Linux - results depend quite a bit on the
+   // processor type, and how good the std::pow
+   // function is for that processor.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 350, 100);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 300, 80);  // test function
+   //
+   // Deficiencies in pow function really kick in here for
+   // large arguments.  Note also that the tests here get
+   // *very* extreme due to the increased exponent range
+   // of 80-bit long doubles.  Also effect Mac OS.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS|Sun.*",             // platform
+      "double",                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 40, 20);                 // test function
+#endif
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 350, 100);  // test function
+
+   //
+   // HP-UX:
+   //
+   // Large value tests include some with *very* extreme
+   // results, thanks to the large exponent range of
+   // 128-bit long doubles.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 130000, 10000);                 // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 130000, 10000);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 130, 30);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 250, 40);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 250, 40);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                     // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 130, 30);                 // test function
+   //
+   // MinGW:
+   //
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 400, 50);  // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "double",                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 20, 10);                 // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // No long doubles:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      BOOST_PLATFORM,                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 13000, 500);                 // test function
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 350, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 5000, 500);                 // test function
+
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 50000);             // test function
+
+   // catch all default is 2eps for all types:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "[^|]*",                          // test type(s)
+      "[^|]*",                          // test data group
+      ".*", 2, 2);                      // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
+
diff --git a/src/boost/libs/math/test/test_ibeta.hpp b/src/boost/libs/math/test/test_ibeta.hpp
new file mode 100644
index 00000000..b581ce98
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta.hpp
@@ -0,0 +1,442 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef BETA_INC_FUNCTION_TO_TEST
+   pg funcp = BETA_INC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::beta<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::beta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test beta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
+#endif
+
+#ifdef BETAC_INC_FUNCTION_TO_TEST
+   funcp = BETAC_INC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::betac<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::betac;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETAC_INC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "betac", test_name);
+#endif
+#ifdef IBETA_FUNCTION_TO_TEST
+   funcp = IBETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibeta<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibeta;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta", test_name);
+#endif
+#ifdef IBETAC_FUNCTION_TO_TEST
+   funcp = IBETAC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETAC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   do_test_beta<T>(ibeta_small_data, name, "Incomplete Beta Function: Small Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   do_test_beta<T>(ibeta_data, name, "Incomplete Beta Function: Medium Values");
+
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   do_test_beta<T>(ibeta_large_data, name, "Incomplete Beta Function: Large and Diverse Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_int_data.ipp"
+
+   do_test_beta<T>(ibeta_int_data, name, "Incomplete Beta Function: Small Integer Values");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // basic sanity checks, tolerance is 30 epsilon expressed as a percentage:
+   // Spot values are from http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized
+   // using precision of 50 decimal digits.
+   T tolerance = boost::math::tools::epsilon<T>() * 3000;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(159) / 10000, //(0.015964560210704803L),
+         static_cast<T>(1184) / 1000000000L,//(1.1846856068586931e-005L),
+         static_cast<T>(6917) / 10000),//(0.69176378846168518L)),
+      static_cast<T>(0.000075393541456247525676062058821484095548666733251733L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4243) / 100,//(42.434902191162109L),
+         static_cast<T>(3001) / 10000, //(0.30012050271034241L),
+         static_cast<T>(9157) / 10000), //(0.91574394702911377L)),
+      static_cast<T>(0.0028387319012616013434124297160711532419664289474798L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(9713) / 1000, //(9.7131776809692383L),
+         static_cast<T>(9940) / 100, //(99.406852722167969L),
+         static_cast<T>(8391) / 100000), //(0.083912998437881470L)),
+      static_cast<T>(0.46116895440368248909937863372410093344466819447476L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(72.5),
+         static_cast<T>(1.125),
+         static_cast<T>(0.75)),
+      static_cast<T>(1.3423066982487051710597194786268004978931316494920e-9L), tolerance*3); // extra tolerance needed on linux X86EM64
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4985)/1000, //(4.9854421615600586L),
+         static_cast<T>(1066)/1000, //(1.0665277242660522L),
+         static_cast<T>(7599)/10000), //(0.75997146964073181L)),
+      static_cast<T>(0.27533431334486812211032939156910472371928659321347L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(6813)/1000, //(6.8127136230468750L),
+         static_cast<T>(1056)/1000, //(1.0562920570373535L),
+         static_cast<T>(1741)/10000), //(0.17416560649871826L)),
+      static_cast<T>(7.6736128722762245852815040810349072461658078840945e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4898)/10000, //(0.48983201384544373L),
+         static_cast<T>(2251)/10000, //(0.22512593865394592L),
+         static_cast<T>(2003)/10000), //(0.20032680034637451L)),
+      static_cast<T>(0.17089223868046209692215231702890838878342349377008L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4049)/1000, //(4.0498137474060059L),
+         static_cast<T>(1540)/10000, //(0.15403440594673157L),
+         static_cast<T>(6537)/10000), //(0.65370121598243713L)),
+      static_cast<T>(0.017273988301528087878279199511703371301647583919670L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(7269)/1000, //(7.2695474624633789L),
+         static_cast<T>(1190)/10000, //(0.11902070045471191L),
+         static_cast<T>(8003)/10000), //(0.80036874115467072L)),
+      static_cast<T>(0.013334694467796052900138431733772122625376753696347L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(2726)/1000, //(2.7266697883605957L),
+         static_cast<T>(1151)/100000, //(0.011510574258863926L),
+         static_cast<T>(8665)/100000), //(0.086654007434844971L)),
+      static_cast<T>(5.8218877068298586420691288375690562915515260230173e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(3431)/10000, //(0.34317314624786377L),
+         static_cast<T>(4634)/100000, //0.046342257410287857L),
+         static_cast<T>(7582)/10000), //(0.75823287665843964L)),
+      static_cast<T>(0.15132819929418661038699397753916091907278005695387L), tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(0)),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(0)),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(1)),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(1)),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(1),
+         static_cast<T>(4634)/100000, //(0.046342257410287857L),
+         static_cast<T>(32)/100),
+      static_cast<T>(0.017712849440718489999419956301675684844663359595318L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4634)/100000, //(0.046342257410287857L),
+         static_cast<T>(1),
+         static_cast<T>(32)/100),
+      static_cast<T>(0.94856839398626914764591440181367780660208493234722L), tolerance);
+
+   // try with some integer arguments:
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(3),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.474407196044921875000000000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(6),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.0802125930786132812500000000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(12),
+         static_cast<T>(1),
+         static_cast<T>(0.25)),
+      static_cast<T>(5.96046447753906250000000000000000000000000000000000000000000e-8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(1),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.899887084960937500000000000000000000000000000000000000000000L), tolerance);
+
+   // very naive check on derivative:
+   using namespace std;  // For ADL of std functions
+   tolerance = boost::math::tools::epsilon<T>() * 10000; // 100 eps
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_derivative(
+         static_cast<T>(2),
+         static_cast<T>(3),
+         static_cast<T>(0.5)),
+         pow(static_cast<T>(0.5), static_cast<T>(2)) * pow(static_cast<T>(0.5), static_cast<T>(1)) / boost::math::beta(static_cast<T>(2), static_cast<T>(3)), tolerance);
+
+   //
+   // Special cases and error handling:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::ibeta(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(::boost::math::ibeta(static_cast<T>(3), static_cast<T>(0), static_cast<T>(0.5)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::ibetac(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::ibetac(static_cast<T>(4), static_cast<T>(0), static_cast<T>(0.5)), static_cast<T>(1));
+
+   BOOST_MATH_CHECK_THROW(::boost::math::beta(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::beta(static_cast<T>(3), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::betac(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::betac(static_cast<T>(4), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(0), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(-1), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(-2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(2), static_cast<T>(-0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(2), static_cast<T>(1.5)), std::domain_error);
+
+   //
+   // a = b = 0.5 is a special case:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.25)),
+      static_cast<T>(1) / 3, tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.25)),
+      static_cast<T>(2) / 3, tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.230053456162615885213780567705142893009911395270714102055874L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.769946543837384114786219432294857106990088604729285897944125L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.725231121519469565327291851560156562956885802608457839260161L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.274768878480530434672708148439843437043114197391542160739838L), tolerance);
+   //
+   // Second argument is 1 is a special case, see http://functions.wolfram.com/GammaBetaErf/BetaRegularized/03/01/01/
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.908295106229247499626759842915458109758420750043003849691665L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.091704893770752500373240157084541890241579249956996150308334L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(30),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.003116150729395132012981654047222541793435357905008020740211L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(30),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.996883849270604867987018345952777458206564642094991979259788L), tolerance);
+
+   //
+   // Bug cases from Rocco Romeo:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(2.46519032881565349871772482100516780410072110983579277754743e-32L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(1.47911419728939209923063489260310068246043266590147566652846e-29L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(4.88182556606650701438035298707052523938789614661168065734809e-245L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.35080680244581673116149460571129957689952846520037541640260e-225L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(5.85819067927980841725642358448463028726547537593401678881771e-244L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.34000034802625019731220264886560918028433223747877241307138e-222L), tolerance);
+   //
+   // Bug cases from Rocco Romeo:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+         static_cast<T>(2),
+         static_cast<T>(4),
+         ldexp(static_cast<T>(1 + static_cast<T>(1.0) / 1024), -351)),
+      static_cast<T>(2.381008060978474962211278613067275529112106932635520021e-212L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::beta(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1 + static_cast<T>(1.0) / 2048), -351)),
+         static_cast<T>(2.378685692854274898232669682422430136513931911501225435e-212L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta(
+            static_cast<T>(3),
+            static_cast<T>(5),
+            ldexp(static_cast<T>(1 + static_cast<T>(15) / 16), -268)),
+            static_cast<T>(2.386034198603463687323052353589201848077110231388968865e-240L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4.5),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 20);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_derivative.cpp b/src/boost/libs/math/test/test_ibeta_derivative.cpp
new file mode 100644
index 00000000..27184ff5
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_derivative.cpp
@@ -0,0 +1,188 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#if defined(__GNUC__)
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wliteral-range"
+#endif
+#include <pch_light.hpp>
+#include "test_ibeta_derivative.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta functions beta,
+// betac, ibeta and ibetac.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Medium.*",                  // test data group
+         ".*", 200000, 7000);              // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "real_concept",                   // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 300000, 10000);             // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 80000, 5000);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Integer.*",                 // test data group
+         ".*", 30000, 1500);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 3300, 200);                 // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*",                          // test data group
+         ".*", 200, 50);                   // test function
+   }
+
+   // catch all default is 2eps for all types:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large.*",                   // test data group
+      ".*", 200000, 6000);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large.*",                   // test data group
+      ".*", 3300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      ".*", 300, 100);                  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
+#if defined(__GNUC__)
+#pragma GCC diagnostic pop
+#endif
diff --git a/src/boost/libs/math/test/test_ibeta_derivative.hpp b/src/boost/libs/math/test/test_ibeta_derivative.hpp
new file mode 100644
index 00000000..5bc7be58
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_derivative.hpp
@@ -0,0 +1,134 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T ibeta_forwarder(T a, T b, T x)
+{
+   T derivative;
+   boost::math::detail::ibeta_imp(a, b, x, boost::math::policies::policy<>(), false, true, &derivative);
+   return derivative;
+}
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_derivative<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_derivative;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_derivative against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
+#endif
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = ibeta_forwarder<value_type>;
+#else
+   funcp = ibeta_forwarder;
+#endif
+
+   if(boost::math::tools::digits<value_type>() > 40)
+   {
+      //
+      // test ibeta_derivative against data:
+      //
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1, 2),
+         extract_result<Real>(3));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete, internal call test)", test_name);
+   }
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_derivative_small_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_small_data, name, "Incomplete Beta Function Derivative: Small Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_derivative_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_data, name, "Incomplete Beta Function Derivative: Medium Values");
+
+#endif
+#ifndef __SUNPRO_CC
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_derivative_large_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_large_data, name, "Incomplete Beta Function Derivative: Large and Diverse Values");
+#endif
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_derivative_int_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_int_data, name, "Incomplete Beta Function Derivative: Small Integer Values");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   using std::ldexp;
+   T tolerance = boost::math::tools::epsilon<T>() * 40000;
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4.5),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 4);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv.cpp b/src/boost/libs/math/test/test_ibeta_inv.cpp
new file mode 100644
index 00000000..7e4b407c
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv.cpp
@@ -0,0 +1,222 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include"test_ibeta_inv.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta function inverses 
+// ibeta_inv and ibetac_inv. There are three sets of tests:
+// 1) Spot tests which compare our results with selected values 
+// computed using the online special function calculator at 
+// functions.wolfram.com, 
+// 2) TODO!!!! Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   // Note that permitted max errors are really pretty high
+   // at around 10000eps.  The reason for this is that even 
+   // if the forward function is off by 1eps, it's enough to
+   // throw out the inverse by ~7000eps.  In other words the
+   // forward function may flatline, so that many x-values
+   // all map to about the same p.  Trying to invert in this
+   // region is almost futile.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // Linux etc,
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                       // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 20, 10);            // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                       // platform
+         "long double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 200000, 100000);            // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                // test type(s)
+         ".*",                          // test data group
+         ".*", 5000000L, 500000);         // test function
+   }
+#endif
+   //
+   // MinGW,
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "double",                // test type(s)
+      ".*",                          // test data group
+      ".*", 10, 10);         // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                // test type(s)
+      ".*",                          // test data group
+      ".*", 300000, 20000);         // test function
+
+   //
+   // HP-UX and Solaris:
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",           // platform
+      "long double",                 // test type(s)
+      ".*",                          // test data group
+      ".*", 200000, 100000);         // test function
+
+   //
+   // HP Tru64:
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      "HP Tru64.*",                  // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "long double",                 // test type(s)
+      ".*",                          // test data group
+      ".*", 200000, 100000);         // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 10000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 500000, 500000);         // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv.hpp b/src/boost/libs/math/test/test_ibeta_inv.hpp
new file mode 100644
index 00000000..6787fdb9
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv.hpp
@@ -0,0 +1,274 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+
+      if(Real(data[i][6]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(1));
+      else if((1 - Real(data[i][6]) > 0.001) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision);
+      }
+      else if(Real(data[i][6]) == 1)
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(0));
+   }
+}
+
+template <class Real, class T>
+void test_inverses2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INV_FUNCTION_TO_TEST))
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef IBETA_INV_FUNCTION_TO_TEST
+   pg funcp = IBETA_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_inv<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_inv;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_inv(T, T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inv", test_name);
+   //
+   // test ibetac_inv(T, T, T) against data:
+   //
+#ifdef IBETAC_INV_FUNCTION_TO_TEST
+   funcp = IBETAC_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_inv<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inv", test_name);
+#endif
+}
+
+
+template <class T>
+void test_beta(T, const char* name)
+{
+#if !defined(ERROR_REPORTING_MODE)
+   (void)name;
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+#endif
+
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_inv_data.ipp"
+
+   test_inverses2<T>(ibeta_inv_data, name, "Inverse incomplete beta");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   BOOST_MATH_STD_USING
+   //
+   // basic sanity checks, tolerance is 100 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 10000;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(2),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.29289321881345247559915563789515096071516406231153L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(3),
+         static_cast<T>(0.5),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.92096723292382700385142816696980724853063433975470L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(20.125),
+         static_cast<T>(0.5),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.98862133312917003480022776106012775747685870929920L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(80),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.33240456430025026300937492802591128972548660643778L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(0.5),
+         ldexp(T(1), -30)),
+      static_cast<T>(0.624305407878048788716096298053941618358257550305573588792717L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(0.5),
+         static_cast<T>(1 - ldexp(T(1), -30))),
+      static_cast<T>(0.99999999999999999998286262026583217516676792408012252456039L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(40),
+         static_cast<T>(ldexp(T(1), -30))),
+      static_cast<T>(1.713737973416782483323207591987747543960774485649459249e-20L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.75),
+         static_cast<T>(ldexp(T(1), -30))),
+      static_cast<T>(1.245132488513853853809715434621955746959615015005382639e-18L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.5),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.1464466094067262377995778189475754803575820311557629L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.5),
+         static_cast<T>(0.75)),
+      static_cast<T>(0.853553390593273762200422181052424519642417968844237018294169L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(5),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.026352819384831863473794894078665766580641189002729204514544L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(5),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.659753955386447129687000985614820066516734506596709340752903L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(0.125),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.656391084194183349609374999999999999999999999999999999999999L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.125),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(5.960464477539062500000e-8), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(5),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.973647180615168136526205105921334233419358810997270795485455L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(1),
+         static_cast<T>(5),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.340246044613552870312999014385179933483265493403290659247096L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(0.125),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.343608915805816650390625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(1),
+         static_cast<T>(0.125),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.99999994039535522460937500000000000000000000000L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv_ab.cpp b/src/boost/libs/math/test/test_ibeta_inv_ab.cpp
new file mode 100644
index 00000000..c1acb2d1
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv_ab.cpp
@@ -0,0 +1,131 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ibeta_inv_ab.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta function inverses 
+// ibeta_inva and ibetac_inva. There are three sets of tests:
+// 1) TODO!!!! Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 2) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3000, 500);               // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 500);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double",                // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 3);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 1000000, 500000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv_ab.hpp b/src/boost/libs/math/test/test_ibeta_inv_ab.hpp
new file mode 100644
index 00000000..e270010e
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv_ab.hpp
@@ -0,0 +1,216 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#ifdef TEST_GSL
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+#endif
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+      }
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
+         inv = boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
+      }
+      else if(1 == Real(data[i][5]))
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      }
+
+      if(Real(data[i][6]) == 0)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      }
+      else if((1 - Real(data[i][6]) > 0.001) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
+         inv = boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
+      }
+      else if(Real(data[i][6]) == 1)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
+      }
+   }
+}
+
+template <class Real, class T>
+void test_inverses2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INVA_FUNCTION_TO_TEST))
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef IBETA_INVA_FUNCTION_TO_TEST
+   pg funcp = IBETA_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_inva<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_inva;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_inva(T, T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inva", test_name);
+   //
+   // test ibetac_inva(T, T, T) against data:
+   //
+#ifdef IBETAC_INVA_FUNCTION_TO_TEST
+   funcp = IBETAC_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_inva<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_inva;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inva", test_name);
+   //
+   // test ibeta_invb(T, T, T) against data:
+   //
+#ifdef IBETA_INVB_FUNCTION_TO_TEST
+   funcp = IBETA_INVB_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibeta_invb<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibeta_invb;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_invb", test_name);
+   //
+   // test ibetac_invb(T, T, T) against data:
+   //
+#ifdef IBETAC_INVB_FUNCTION_TO_TEST
+   funcp = IBETAC_INVB_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_invb<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_invb;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_invb", test_name);
+#endif
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+#if !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+   std::cout << "Running sanity checks for type " << name << std::endl;
+
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+#endif
+#endif
+
+#if !defined(TEST_REAL_CONCEPT) || defined(FULL_TEST) || (TEST_DATA == 4)
+   if(boost::is_floating_point<T>::value){
+   //
+   // This accuracy test is normally only enabled for "real"
+   // floating point types and not for class real_concept.
+   // The reason is that these tests are exceptionally slow
+   // to complete when T doesn't have Lanczos support defined for it.
+   //
+#  include "ibeta_inva_data.ipp"
+
+   test_inverses2<T>(ibeta_inva_data, name, "Inverse incomplete beta");
+   }
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_igamma.cpp b/src/boost/libs/math/test/test_igamma.cpp
new file mode 100644
index 00000000..c016603d
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma.cpp
@@ -0,0 +1,377 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma functions tgamma,
+// tgamma_lower, gamma_p and gamma_q. There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   // These should not really be needed, but on *some* Linux
+   // versions these error rates are quite large and appear to
+   // be related to the accuracy of powl and expl.  On Itanium
+   // or Xeon machines the error rates are much lower than this.
+   // Worst cases appear to be AMD64 machines.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1000, 200);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 1300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 600, 200);                // test function
+
+   //
+   // Mac OS X:
+   // It's not clear why these should be required, but see notes above
+   // about Linux.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 5000, 1000);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",               // test data group
+      "[^|]*", 80, 40);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 2000, 300);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 5000, 1000);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*small[^|]*",               // test data group
+      "[^|]*", 75, 15);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 2000, 300);                // test function
+   //
+   // HP-UX:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 50);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);                // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      "[^|]*", 100, 30);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 100, 30);                // test function
+
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 100, 50);                 // test function
+
+   //
+   // Minw:
+   //
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);               // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 700, 200);                 // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 100, 50);                  // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 120, 50);                   // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 100, 50);                    // test function
+
+   //
+   // Large exponent range causes more extreme test cases to be evaluated:
+   //
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         ".*", 40000, 3000);  // test function
+   }
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 50, 20);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 20, 10);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_q", 500, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Cygwin",                         // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_p", 700, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_p", 350, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 20, 10);                    // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1500, 400);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      ".*", 100, 20);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      ".*", 1000000, 100000);        // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 200, 40);                    // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F);
+#endif
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_gamma(0.1F, "float");
+#endif
+   test_gamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_gamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma.hpp b/src/boost/libs/math/test/test_igamma.hpp
new file mode 100644
index 00000000..cdfa0b4c
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma.hpp
@@ -0,0 +1,253 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+   pg funcp;
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IGAMMA_FUNCTION_TO_TEST))
+
+#ifdef IGAMMA_FUNCTION_TO_TEST
+   funcp = IGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::tgamma<value_type, value_type>;
+#else
+   funcp = boost::math::tgamma;
+#endif
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma(T, T) against data:
+   //
+   if(Real(data[0][2]) > 0)
+   {
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1),
+         extract_result<Real>(2));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma (incomplete)", test_name);
+      //
+      // test tgamma_lower(T, T) against data:
+      //
+#ifdef IGAMMAL_FUNCTION_TO_TEST
+      funcp = IGAMMAL_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+      funcp = boost::math::tgamma_lower<value_type, value_type>;
+#else
+      funcp = boost::math::tgamma_lower;
+#endif
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1),
+         extract_result<Real>(4));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_lower", test_name);
+   }
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAQ_FUNCTION_TO_TEST))
+   //
+   // test gamma_q(T, T) against data:
+   //
+#ifdef GAMMAQ_FUNCTION_TO_TEST
+   funcp = GAMMAQ_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q", test_name);
+   //
+   // test gamma_p(T, T) against data:
+   //
+#ifdef GAMMAP_FUNCTION_TO_TEST
+   funcp = GAMMAP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_p<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_p;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "tgamma(a, z) medium values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "tgamma(a, z) small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "tgamma(a, z) large values");
+
+#  include "igamma_int_data.ipp"
+
+   do_test_gamma_2<T>(igamma_int_data, name, "tgamma(a, z) integer and half integer values");
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__))
+   tolerance *= 10;
+#endif
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(23.912163676143750903709045060494956383977723517065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(10.571838841565097874621959975919877646444998907920L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.70206451384706574414638719662835463671916532623256L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(3.8734332808745531496973774140085644548465762343719e-36L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(0.5)), static_cast<T>(0.56241823159440712427949495730204306902676756479651L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(9)/10), static_cast<T>(0.31853210360412109873859360390443790076576777747449L), tolerance*10);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(5)), static_cast<T>(0.0027746032604128093194908357272603294120210079791437L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(100)), static_cast<T>(3.7017478604082789202535664481339075721362102520338e-45L), tolerance * tolerance_tgamma_extra);
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.087836323856249096290954939505043616022276482935091L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(13.428161158434902125378040024080122353555001092080L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(23.297935486152934255853612803371645363280834673767L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(23.999999999999999999999999999999999996126566719125L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.99634015317265628765454354418728984933240514654437L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(0.44049328506521241144258166566332823526854162116334L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.029252688076961072672766133192848109863298555259690L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(1.6139305336977304790405739225035685228527400976549e-37L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(1.5), static_cast<T>(2)), static_cast<T>(0.26146412994911062220282207597592120190281060919079L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(20.5), static_cast<T>(22)), static_cast<T>(0.34575332043467326814971590879658406632570278929072L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.0036598468273437123454564558127101506675948534556288L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(0.55950671493478758855741833433667176473145837883666L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.97074731192303892732723386680715189013670144474031L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(0.9999999999999999999999999999999999998386069466302L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(1.5), static_cast<T>(2)), static_cast<T>(0.73853587005088937779717792402407879809718939080921L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(20.5), static_cast<T>(22)), static_cast<T>(0.65424667956532673185028409120341593367429721070928L), tolerance);
+
+   // naive check on derivative function:
+   using namespace std;  // For ADL of std functions
+   tolerance = boost::math::tools::epsilon<T>() * 5000; // 50 eps
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p_derivative(static_cast<T>(20.5), static_cast<T>(22)), 
+      exp(static_cast<T>(-22)) * pow(static_cast<T>(22), static_cast<T>(19.5)) / boost::math::tgamma(static_cast<T>(20.5)), tolerance);
+
+   // Bug reports from Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(1.21645100408832000000e17L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(7.498484069471659696438206828760307317022658816757448882e-243L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(6.164230243774976473534975936127139110276824507876192062e-260L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(8.841761993739701954543616000000e30L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(3.943507283668378474979245322638092813837393749566146974e-273L), tolerance);
+#ifdef __SUNPRO_CC
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(4.460092102072560946444018923090222645613009128135650652e-304L), tolerance * 8);
+#else
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(4.460092102072560946444018923090222645613009128135650652e-304L), tolerance);
+#endif
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p_derivative(static_cast<T>(2), ldexp(T(1), -575)), static_cast<T>(8.08634922390438981326119906687585206568664784377654648227177e-174L), tolerance);
+
+   //typedef boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::throw_on_error> > throw_policy;
+
+   if(std::numeric_limits<T>::max_exponent <= 1024 && std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100)), std::numeric_limits<T>::infinity());
+      //BOOST_MATH_CHECK_THROW(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100), throw_policy()), std::overflow_error);
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530.5), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740.5), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(10000.0f), static_cast<T>(10000.0f / 4)), std::numeric_limits<T>::infinity());
+   }
+   if(std::numeric_limits<T>::max_exponent >= 1024)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(165)), static_cast<T>(2.737338337642022829223832094019477918166996032112404370e304L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(165)), static_cast<T>(1.531729671362682445715419794880088619901822603944331733e304L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(170)), static_cast<T>(2.090991698081449410761040647015858316167077909285580375e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(170)), static_cast<T>(2.178076310923255864178211241883708221901740726771155728e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(190)), static_cast<T>(2.8359275512790301602903689596273175148895758522893941392e303L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(190)), static_cast<T>(3.985475253876802258910214992936834786579861050827796689e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(1000)), static_cast<T>(6.1067635957780723069200425769800190368662985052038980542e72L), 10 * tolerance);
+
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(185), static_cast<T>(1)), static_cast<T>(0.001999286058955490074702037576083582139834300307968257924836L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(185), static_cast<T>(1500)), static_cast<T>(1.037189524841404054867100938934493979112615962865368623e-67L), tolerance * 10);
+
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(36), ldexp(static_cast<T>(1), -26)), static_cast<T>(1.03331479663861449296666513375232000000e40L), tolerance * 10);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(50.5), ldexp(static_cast<T>(1), -17)), static_cast<T>(4.2904629123519598109157551960589377e63L), tolerance * 10);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(164.5), static_cast<T>(0.125)), static_cast<T>(2.5649307433687542701168405519538910e292L), tolerance * 10);
+   }
+   //
+   // Check very large parameters, see: https://github.com/boostorg/math/issues/168
+   //
+   T max_val = boost::math::tools::max_value<T>();
+   T large_val = max_val * 0.99f;
+   BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), max_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), large_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), max_val), boost::math::tgamma(static_cast<T>(22.25)));
+   BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), large_val), boost::math::tgamma(static_cast<T>(22.25)));
+   BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), max_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), large_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), max_val), 1);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), large_val), 1);
+   if (std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 0);
+      BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), boost::math::tgamma(static_cast<T>(22.25)));
+      BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 0);
+      BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 1);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_igamma_inv.cpp b/src/boost/libs/math/test/test_igamma_inv.cpp
new file mode 100644
index 00000000..56acbcd0
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inv.cpp
@@ -0,0 +1,230 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma_inv.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma function inverses 
+// gamma_p_inv and gamma_q_inv. There are three sets of tests:
+// 1) Spot tests which compare our results with selected values 
+// computed using the online special function calculator at 
+// functions.wolfram.com, 
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Large exponent range causes more extreme test cases to be evaluated:
+   //
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*small[^|]*",                    // test data group
+         "[^|]*", 200000, 10000);              // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "real_concept",                     // test type(s)
+         "[^|]*small[^|]*",                   // test data group
+         "[^|]*", 98000, 12000);                  // test function
+   }
+   //
+   // These high error rates are seen on on some Linux
+   // architectures:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 350, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 150, 5);                  // test function
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 20, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                    // test data group
+      "[^|]*", 5, 2);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                    // test data group
+      "[^|]*", 2100, 500);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*small[^|]*",                    // test data group
+      "gamma_p_inv", 500, 60);   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "gamma_q_inv", 350, 60);   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 4, 2);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 20, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 1000, 500);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*small[^|]*",                   // test data group
+      "[^|]*", 3700, 500);                  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_spots(0.0F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L, "long double");
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_gamma(0.1F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_gamma(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_gamma(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma_inv.hpp b/src/boost/libs/math/test/test_igamma_inv.hpp
new file mode 100644
index 00000000..7330e918
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inv.hpp
@@ -0,0 +1,233 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test gamma_p_inv(T, T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete gamma is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5])), value_type(0));
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, 100000, i);
+      }
+
+      if(Real(data[i][3]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if((1 - Real(data[i][3]) > 0.001) && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>()))
+      {
+         value_type inv = boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][3]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3])), value_type(0));
+      else if(fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>())
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, 100, i);
+      }
+   }
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_gamma_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAP_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef GAMMAP_INV_FUNCTION_TO_TEST
+   pg funcp = GAMMAP_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::gamma_p_inv<value_type, value_type>;
+#else
+   pg funcp = boost::math::gamma_p_inv;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test gamma_p_inv(T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p_inv", test_name);
+   //
+   // test gamma_q_inv(T, T) against data:
+   //
+#ifdef GAMMAQ_INV_FUNCTION_TO_TEST
+   funcp = GAMMAQ_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q_inv<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q_inv", test_name);
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+#if !defined(TEST_UDT) && !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "Running round trip sanity checks on incomplete gamma medium sized values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "Running round trip sanity checks on incomplete gamma small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "Running round trip sanity checks on incomplete gamma large values");
+
+#endif
+
+#  include "gamma_inv_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_data, name, "incomplete gamma inverse(a, z) medium values");
+
+#  include "gamma_inv_big_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_big_data, name, "incomplete gamma inverse(a, z) large values");
+
+#  include "gamma_inv_small_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_small_data, name, "incomplete gamma inverse(a, z) small values");
+}
+
+template <class T>
+void test_spots(T, const char* type_name)
+{
+   std::cout << "Running spot checks for type " << type_name << std::endl;
+   //
+   // basic sanity checks, tolerance is 150 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 15000;
+   if(tolerance < 1e-25f)
+      tolerance = 1e-25f;  // limit of test data?
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1)/100, static_cast<T>(1.0/128)), static_cast<T>(0.35767144525455121503672919307647515332256996883787L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1)/100, static_cast<T>(0.5)), static_cast<T>(4.4655350189103486773248562646452806745879516124613e-31L), tolerance*10);
+   //
+   // We can't test in this region against Mathworld's data as the results produced
+   // by functions.wolfram.com appear to be in error, and do *not* round trip with
+   // their own version of gamma_q.  Using our output from the inverse as input to 
+   // their version of gamma_q *does* round trip however.  It should be pointed out
+   // that the functions in this area are very sensitive with nearly infinite
+   // first derivatives, it's also questionable how useful these functions are
+   // in this part of the domain.
+   //
+   //BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1e-2), static_cast<T>(1.0-1.0/128)), static_cast<T>(3.8106736649978161389878528903698068142257930575497e-181L), tolerance);
+   //
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0/128)), static_cast<T>(3.5379794687984498627918583429482809311448951189097L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0/2)), static_cast<T>(0.22746821155978637597125832348982469815821055329511L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0-1.0/128)), static_cast<T>(0.000047938431649305382237483273209405461203600840052182L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0/128)), static_cast<T>(19.221865946801723949866005318845155649972164294057L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0/2)), static_cast<T>(9.6687146147141311517500637401166726067778162022664L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0-1.0/128)), static_cast<T>(3.9754602513640844712089002210120603689809432130520L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0/128)), static_cast<T>(10243.369973939134157953734588122880006091919872879L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0/2)), static_cast<T>(9999.6666686420474237369661574633153551436435884101L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0-1.0/128)), static_cast<T>(9759.8597223369324083191194574874497413261589080204L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_igamma_inva.cpp b/src/boost/libs/math/test/test_igamma_inva.cpp
new file mode 100644
index 00000000..89fec33c
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inva.cpp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma_inva.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma function inverses 
+// gamma_p_inva and gamma_q_inva. There are two sets of tests:
+// 2) TODO: Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 800, 200);               // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 3000, 1000);             // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 300, 100);               // test function
+   // this one has to come last in case double *is* the widest
+   // float type:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 10, 5);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_gamma(0.1F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_gamma(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_gamma(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma_inva.hpp b/src/boost/libs/math/test/test_igamma_inva.hpp
new file mode 100644
index 00000000..402ea2f8
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inva.hpp
@@ -0,0 +1,192 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "table_type.hpp"
+#include "handle_test_result.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test gamma_p_inva(T, T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete gamma is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if((1 - Real(data[i][5]) > 0.001) && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()))
+      {
+         value_type inv = boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+      else if(Real(data[i][5]) > 2 * boost::math::tools::min_value<value_type>())
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, 100, i);
+      }
+
+      if(Real(data[i][3]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3])), boost::math::tools::min_value<value_type>());
+      else if((1 - Real(data[i][3]) > 0.001) 
+         && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][3]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if(Real(data[i][3]) > 2 * boost::math::tools::min_value<value_type>()) 
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, 100, i);
+      }
+   }
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_gamma_inva(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAP_INVA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef GAMMAP_INVA_FUNCTION_TO_TEST
+   pg funcp = GAMMAP_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::gamma_p_inva<value_type, value_type>;
+#else
+   pg funcp = boost::math::gamma_p_inva;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test gamma_p_inva(T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p_inva", test_name);
+   //
+   // test gamma_q_inva(T, T) against data:
+   //
+#ifdef GAMMAQ_INVA_FUNCTION_TO_TEST
+   funcp = GAMMAQ_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q_inva<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q_inva;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q_inva", test_name);
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+#if !defined(TEST_UDT) && !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "Running round trip sanity checks on incomplete gamma medium sized values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "Running round trip sanity checks on incomplete gamma small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "Running round trip sanity checks on incomplete gamma large values");
+
+#endif
+
+#  include "igamma_inva_data.ipp"
+
+   do_test_gamma_inva<T>(igamma_inva_data, name, "Incomplete gamma inverses.");
+}
+
diff --git a/src/boost/libs/math/test/test_instances/Jamfile.v2 b/src/boost/libs/math/test/test_instances/Jamfile.v2
new file mode 100644
index 00000000..d40d28bc
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/Jamfile.v2
@@ -0,0 +1,39 @@
+# Copyright ohn Maddock 2012
+# Distributed under the Boost Software License, Version 1.0. 
+# (See accompanying file LICENSE_1_0.txt or copy at 
+# http://www.boost.org/LICENSE_1_0.txt.
+
+import pch ;
+
+project  
+    : requirements 
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo 
+      <toolset>intel-win:<linkflags>-nologo 
+      #<toolset>intel-linux:<pch>off
+      <toolset>intel-darwin:<pch>off
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4511 # copy constructor could not be generated 
+      <toolset>msvc:<cxxflags>/wd4512 
+      <toolset>msvc:<cxxflags>/wd4610 
+      <toolset>msvc:<cxxflags>/wd4510 
+      <toolset>msvc:<cxxflags>/wd4127 
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <toolset>msvc:<cxxflags>/wd4189 # local variable is initialized but not referenced
+      <toolset>msvc-7.1:<pch>off
+      <toolset>borland:<runtime-link>static
+      <include>../../../..
+      # For simplicities sake, make everything a static lib:
+      <link>static
+      <define>BOOST_ALL_NO_LIB=1
+      <include>.
+    ;
+    
+cpp-pch pch : pch.hpp ;
+
+path-constant here : . ;
+
+lib test_instances : [ GLOB $(here) : *.cpp ] pch 
+                   : <link>static ;
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp
new file mode 100644
index 00000000..88502559
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp
new file mode 100644
index 00000000..4df0e855
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp
new file mode 100644
index 00000000..f7e9c3dc
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp
new file mode 100644
index 00000000..7ed9b56f
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp
new file mode 100644
index 00000000..b9f79942
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp
@@ -0,0 +1,27 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp
new file mode 100644
index 00000000..62dbbe2f
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp
@@ -0,0 +1,18 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp
new file mode 100644
index 00000000..5fc89086
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp
new file mode 100644
index 00000000..14d00ba1
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp
new file mode 100644
index 00000000..727a12e7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp
new file mode 100644
index 00000000..e14c85db
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp
new file mode 100644
index 00000000..774e71fe
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp
new file mode 100644
index 00000000..0afafd3b
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp
new file mode 100644
index 00000000..4f969058
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp
new file mode 100644
index 00000000..6623f7c1
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp
new file mode 100644
index 00000000..344354be
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp
@@ -0,0 +1,27 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp
new file mode 100644
index 00000000..4e2315c0
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp
@@ -0,0 +1,18 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp
new file mode 100644
index 00000000..8d840013
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp
new file mode 100644
index 00000000..8d93752d
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp
new file mode 100644
index 00000000..a0b36a85
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp
new file mode 100644
index 00000000..e2eb15c3
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp
new file mode 100644
index 00000000..8e21808e
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp
new file mode 100644
index 00000000..a49d0ea7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp
new file mode 100644
index 00000000..9400bbda
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp
new file mode 100644
index 00000000..f7ba9783
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp
@@ -0,0 +1,30 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp
new file mode 100644
index 00000000..6e4599b6
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp
@@ -0,0 +1,21 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp
new file mode 100644
index 00000000..c56695fe
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp
@@ -0,0 +1,26 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp
new file mode 100644
index 00000000..a358fbd2
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp
@@ -0,0 +1,20 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp
new file mode 100644
index 00000000..98c70334
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp
new file mode 100644
index 00000000..e212c7d5
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp
@@ -0,0 +1,20 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp
new file mode 100644
index 00000000..a312ae08
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/pch.hpp b/src/boost/libs/math/test/test_instances/pch.hpp
new file mode 100644
index 00000000..827a3196
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/pch.hpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions.hpp>
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp
new file mode 100644
index 00000000..76b1a7bb
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp
new file mode 100644
index 00000000..e356b046
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp
new file mode 100644
index 00000000..6cb2ecc9
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp
new file mode 100644
index 00000000..aa6cf8fb
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp
@@ -0,0 +1,25 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp
new file mode 100644
index 00000000..63c907e6
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp
@@ -0,0 +1,33 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp
new file mode 100644
index 00000000..6dd7d043
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp
@@ -0,0 +1,24 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp
new file mode 100644
index 00000000..18137510
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp
@@ -0,0 +1,29 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp
new file mode 100644
index 00000000..dd53dfec
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp
new file mode 100644
index 00000000..ff03f4d2
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp
new file mode 100644
index 00000000..05ac1f77
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/test_instances.hpp b/src/boost/libs/math/test/test_instances/test_instances.hpp
new file mode 100644
index 00000000..e9aef129
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/test_instances.hpp
@@ -0,0 +1,467 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+namespace boost{ namespace math{
+
+   typedef policies::policy<policies::overflow_error<policies::throw_on_error> > overflow_policy;
+
+#ifdef TEST_GROUP_1
+
+   // Beta functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b); // Beta function (2 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, policies::policy<>); // Beta function (3 arguments).
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE); // Beta function (3 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Beta function (3 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         betac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         betac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x); // Incomplete beta function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Incomplete beta function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x); // Incomplete beta complement function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Incomplete beta complement function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, BOOST_MATH_TEST_TYPE* py);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, BOOST_MATH_TEST_TYPE* py, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, BOOST_MATH_TEST_TYPE* py);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, BOOST_MATH_TEST_TYPE* py, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x);  // derivative of incomplete beta
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);  // derivative of incomplete beta
+
+#endif
+#ifdef TEST_GROUP_2
+   // erf & erfc error functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf_inv(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf_inv(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc_inv(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc_inv(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+#endif
+#ifdef TEST_GROUP_3
+   // Polynomials:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         legendre_next(unsigned l, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_q(unsigned l, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_q(unsigned l, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         legendre_next(unsigned l, unsigned m, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, int m, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, int m, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         laguerre_next(unsigned n, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Ln, BOOST_MATH_TEST_TYPE Lnm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+      laguerre_next(unsigned n, unsigned l, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, unsigned m, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template laguerre_result<int, BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, int m, BOOST_MATH_TEST_TYPE x);
+
+   template laguerre_result<unsigned, BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, unsigned m, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      hermite(unsigned n, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      hermite(unsigned n, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      hermite_next(unsigned n, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Hn, BOOST_MATH_TEST_TYPE Hnm1);
+
+   template std::complex<BOOST_MATH_TEST_TYPE> 
+         spherical_harmonic(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template std::complex<BOOST_MATH_TEST_TYPE> 
+      spherical_harmonic(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         spherical_harmonic_r(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      spherical_harmonic_r(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         spherical_harmonic_i(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      spherical_harmonic_i(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+#endif
+#ifdef TEST_GROUP_4
+    // Elliptic integrals:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rf(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rf(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rd(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rd(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rc(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rc(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rj(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rj(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE p, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template detail::ellint_3_result<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v);
+#endif
+#ifdef TEST_GROUP_5
+   // Gamma functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma1pm1(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma1pm1(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE z, int* sign);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE z, int* sign, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_lower(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_lower(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_delta_ratio(BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE delta);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_delta_ratio(BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE delta, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_ratio(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_ratio(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+
+   // gamma inverse.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q, const policies::policy<>&);
+
+   // digamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // trigamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // polygamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+#endif
+#ifdef TEST_GROUP_6
+   // Hypotenuse function sqrt(x ^ 2 + y ^ 2).
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         hypot(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         hypot(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, const policies::policy<>&);
+
+   // cbrt - cube root.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cbrt(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cbrt(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   // log1p is log(x + 1)
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p<BOOST_MATH_TEST_TYPE, overflow_policy>(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // log1pmx is log(x + 1) - x
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // Exp (x) minus 1 functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // Power - 1
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         powm1(const BOOST_MATH_TEST_TYPE a, const BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         powm1(const BOOST_MATH_TEST_TYPE a, const BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   // sqrt(1+x) - 1
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val, const policies::policy<>&);
+
+   // sin_pi, cos_pi
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
+#endif
+#ifdef TEST_GROUP_7
+   // Bessel functions:
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel_prime(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel(unsigned v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel_prime(unsigned v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann_prime(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann(unsigned v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann_prime(unsigned v, BOOST_MATH_TEST_TYPE x);
+#endif
+#ifdef TEST_GROUP_8
+   // Airy Functions:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai_prime(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai_prime(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi_prime(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi_prime(BOOST_MATH_TEST_TYPE x);
+#endif
+#ifdef TEST_GROUP_9
+   // Exponential Integral
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expint(unsigned n, BOOST_MATH_TEST_TYPE z, const policies::policy<> &);
+
+   template detail::expint_result<int, BOOST_MATH_TEST_TYPE>::type expint(int const z, BOOST_MATH_TEST_TYPE const u);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expint(BOOST_MATH_TEST_TYPE z);
+
+   // Zeta:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type zeta(BOOST_MATH_TEST_TYPE s, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type zeta(BOOST_MATH_TEST_TYPE s);
+#endif
+#ifdef TEST_GROUP_10
+   // Jacobi Functions:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type jacobi_elliptic(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE* pcn, BOOST_MATH_TEST_TYPE* pdn, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type jacobi_elliptic(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE* pcn, BOOST_MATH_TEST_TYPE* pdn);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ns(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ns(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ds(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ds(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cs(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cs(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+#endif
+
+}} // namespaces
diff --git a/src/boost/libs/math/test/test_instantiate1.cpp b/src/boost/libs/math/test/test_instantiate1.cpp
new file mode 100644
index 00000000..a930c14c
--- /dev/null
+++ b/src/boost/libs/math/test/test_instantiate1.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define TEST_COMPLEX
+
+#include "compile_test/instantiate.hpp"
+
+extern void other_test();
+
+int main(int argc, char* [])
+{
+   if(argc > 10000)
+   {
+      instantiate(double(0));
+      instantiate_mixed(double(0));
+      other_test();
+   }
+}
+
+
diff --git a/src/boost/libs/math/test/test_instantiate2.cpp b/src/boost/libs/math/test/test_instantiate2.cpp
new file mode 100644
index 00000000..81bbf7b7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instantiate2.cpp
@@ -0,0 +1,16 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define TEST_COMPLEX
+
+#include "compile_test/instantiate.hpp"
+
+void other_test()
+{
+   instantiate(double(0));
+   instantiate_mixed(double(0));
+}
+
+
diff --git a/src/boost/libs/math/test/test_inv_hyp.cpp b/src/boost/libs/math/test/test_inv_hyp.cpp
new file mode 100644
index 00000000..18bfceb4
--- /dev/null
+++ b/src/boost/libs/math/test/test_inv_hyp.cpp
@@ -0,0 +1,286 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/acosh.hpp>
+#include <boost/math/special_functions/asinh.hpp>
+#include <boost/math/special_functions/atanh.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <iostream>
+#include <iomanip>
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the inverse hyperbolic functions. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "atanh.*",                     // test data group
+      ".*", 6, 1);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 4, 2);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4, 1);                   // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class Real, class T>
+void do_test_asinh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test asinh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::asinh<value_type>;
+#else
+   pg funcp = boost::math::asinh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test asinh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::asinh", test_name);
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_acosh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test acosh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::acosh<value_type>;
+#else
+   pg funcp = boost::math::acosh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test acosh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::acosh", test_name);
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_atanh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test atanh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::atanh<value_type>;
+#else
+   pg funcp = boost::math::atanh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test atanh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::atanh", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_inv_hyperbolics(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 16> data1 = {{
+        {{ SC_(1.0), SC_(0.0) }},
+        {{ SC_(18014398509481985.0)/SC_(18014398509481984.0), (SC_(18014398509481985.0)/SC_(18014398509481984.0) == 1 ? 0 : SC_(1.05367121277235078980001569764860129317209081216314559121044e-8)) }},
+        {{ SC_(140737488355329.0)/SC_(140737488355328.0), (SC_(140737488355329.0)/SC_(140737488355328.0) == 1 ? 0 : SC_(1.19209289550781179413921062141751258430803882725295121500042e-7)) }},
+        {{ SC_(1073741825.0)/SC_(1073741824.0), (SC_(1073741825.0)/SC_(1073741824.0) == 1 ? 0 : SC_(0.0000431583728718059579720327225039166883356735150941350459126580)) }},
+        {{ SC_(32769.0)/32768, (SC_(32769.0)/32768 == 1 ? 0 : SC_(0.00781248013192149783598227588546120945538554063153555218442060)) }},
+        {{ SC_(1025.0)/1024, SC_(0.0441905780831100944299637635287994671116916497867872322058681) }},
+        {{ SC_(513.0)/512, SC_(0.0624898319417098609694799246056217361555882834152944713872228) }},
+        {{ SC_(129.0)/128, SC_(0.124918762511080617606418193883982155828039646714882611321039) }},
+        {{ SC_(33.0)/32, SC_(0.249353493842885487851439075410018843027071727873456825299808) }},
+        {{ SC_(5.0)/4, SC_(0.693147180559945309417232121458176568075500134360255254120680) }},
+        {{ SC_(3.0)/2, SC_(0.962423650119206894995517826848736846270368668771321039322036) }},
+        {{ SC_(1.75), SC_(1.15881036042994681173087299087873019318368454205435905403767) }},
+        {{ SC_(2.0), SC_(1.31695789692481670862504634730796844402698197146751647976847) }},
+        {{ SC_(20.0), SC_(3.68825386736129666761816757203235188783315569765587425882926) }},
+        {{ SC_(200.0), SC_(5.99145829704938742305501213819154333467246121857058747847273) }},
+        {{ SC_(2000.0), SC_(8.29404957760202181151262480475259799729149903827743516943515) }},
+    }};
+    #undef SC_
+
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "asinh_data.ipp"
+   do_test_asinh<T>(asinh_data, name, "asinh");
+#include "acosh_data.ipp"
+   do_test_acosh<T>(data1, name, "acosh: Mathworld Data");
+   do_test_acosh<T>(acosh_data, name, "acosh");
+#include "atanh_data.ipp"
+   do_test_atanh<T>(atanh_data, name, "atanh");
+}
+
+extern "C" double zetac(double);
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is either 5 or 10 epsilon
+   // expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 5 : 10);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145)/262144L), static_cast<T>(0.00276213498595136093375633956331651432309750291610866833462649L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(2)), static_cast<T>(1.31695789692481670862504634730796844402698197146751647976847L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(40)), static_cast<T>(4.38187034804006698696313269586603717076961771721038534547948L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145L)), static_cast<T>(13.1698002453253126137651962522659827810753786944786303017757L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271375603081996185039385472561751449912305225962381803e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0.25)), static_cast<T>(0.247466461547263452944781549788359289253766903098567696469117L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)), static_cast<T>(0.881373587019543025232609324979792309028160328261635410753296L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(10)), static_cast<T>(2.99822295029796973884659553759645347660705805487730365573446L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(262145L)), static_cast<T>(13.1698002453325885158685460826511173257938039316922010439486L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-1)/262145L), static_cast<T>(-3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0.5)), static_cast<T>(0.549306144334054845697622618461262852323745278911374725867347L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-0.5)), static_cast<T>(-0.549306144334054845697622618461262852323745278911374725867347L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_inv_hyperbolics(0.1F, "float");
+   test_inv_hyperbolics(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_inv_hyperbolics(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_inv_hyperbolics(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp b/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp
new file mode 100644
index 00000000..21b1a578
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp
@@ -0,0 +1,526 @@
+// test_inverse_chi_squared.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4310) // cast truncates constant value.
+#endif
+
+// http://www.wolframalpha.com/input/?i=inverse+chisquare+distribution
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+//#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <boost/math/distributions/inverse_chi_squared.hpp> // for inverse_chisquared_distribution
+using boost::math::inverse_chi_squared_distribution;
+using boost::math::cdf;
+using boost::math::pdf;
+
+// Use Inverse Gamma distribution to check their relationship:
+// inverse_chi_squared<>(v) == inverse_gamma<>(v / 2., 0.5)
+#include <boost/math/distributions/inverse_gamma.hpp> // for inverse_gamma_distribution
+using boost::math::inverse_gamma_distribution;
+using boost::math::inverse_gamma;
+//  using  ::boost::math::cdf;
+//  using  ::boost::math::pdf;
+
+#include <boost/math/special_functions/gamma.hpp> 
+using boost::math::tgamma; // for naive pdf.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits; // for epsilon.
+
+template <class RealType>
+RealType naive_pdf(RealType df, RealType scale, RealType x)
+{ // Formula from Wikipedia
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType result = pow(scale * df/2, df/2) * exp(-df * scale/(2 * x));
+   result /= tgamma(df/2) * pow(x, 1 + df/2);
+   return result;
+}
+
+// Test using a spot value from some other reference source,
+// in this case test values from output from R provided by Thomas Mang,
+// and Wolfram Mathematica by Mark Coleman.
+
+template <class RealType>
+void test_spot(
+     RealType degrees_of_freedom, // degrees_of_freedom,
+     RealType scale, // scale,
+     RealType x, // random variate x,
+     RealType pd, // expected pdf,
+     RealType P, // expected CDF,
+     RealType Q, // expected complement of CDF,
+     RealType tol) // test tolerance.
+{
+   boost::math::inverse_chi_squared_distribution<RealType> dist(degrees_of_freedom, scale);
+
+   BOOST_CHECK_CLOSE_FRACTION
+      ( // Compare to expected PDF.
+      pdf(dist, x), // calculated.
+      pd, // expected
+      tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to naive pdf formula (probably less accurate).
+      pdf(dist, x), naive_pdf(dist.degrees_of_freedom(), dist.scale(), x), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to expected CDF.
+      cdf(dist, x), P, tol);
+
+   if((P < 0.999) && (Q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), Q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, P), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, Q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, some test data is to six decimal places only,
+  // so set tolerance to 0.000001 (expressed as a percentage = 0.0001%).
+
+  RealType tolerance = 0.000001f;
+  cout << "Tolerance = " << tolerance * 100 << "%." << endl;
+
+// This test values from output from geoR (17 decimal digits) guided by Thomas Mang.
+  test_spot(static_cast<RealType>(2), static_cast<RealType>(1./2.),
+    // degrees_of_freedom, default scale = 1/df.
+  static_cast<RealType>(1.L), // x.
+  static_cast<RealType>(0.30326532985631671L), // pdf.
+  static_cast<RealType>(0.60653065971263365L), // cdf.
+  static_cast<RealType>(1 - 0.606530659712633657L), // cdf complement.
+  tolerance  // tol
+  );
+
+// Tests from Mark Coleman & Georgi Boshnakov using Wolfram Mathematica.
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(0.1L), // degrees_of_freedom, scale
+  static_cast<RealType>(0.2), // x
+  static_cast<RealType>(1.6700235722635659824529759616528281217001163943570L), // pdf
+  static_cast<RealType>(0.89117801891415124234834646836872197623907651175353L), // cdf
+  static_cast<RealType>(1 - 0.89117801891415127L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(0.1L), // degrees_of_freedom, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.03065662009762021L), // pdf
+  static_cast<RealType>(0.99634015317265628765454354418728984933240514654437L), // cdf
+  static_cast<RealType>(1 - 0.99634015317265628765454354418728984933240514654437L), // cdf complement
+  tolerance  // tol
+  );
+
+
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(2), // degrees_of_freedom, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.00054964096598361569L), // pdf
+  static_cast<RealType>(0.000016944743930067383903707995865261004246785511612700L), // cdf
+  static_cast<RealType>(1 - 0.000016944743930067383903707995865261004246785511612700L), // cdf complement
+  tolerance  // tol
+  );
+  
+  // Check some bad parameters to the distribution cause expected exception to be thrown.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad1(-1), std::domain_error); // negative degrees_of_freedom.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad2(1, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad3(-1, -1), std::domain_error); // negative scale and degrees_of_freedom.
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-1), std::domain_error); // negative degrees_of_freedom.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(1, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-1, -1), std::domain_error); // negative scale and degrees_of_freedom.
+#endif
+  check_out_of_range<boost::math::inverse_chi_squared_distribution<RealType> >(1, 1);
+
+  inverse_chi_squared_distribution<RealType> ichsq;
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, +std::numeric_limits<RealType>::infinity()), std::domain_error); // x = + infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, -std::numeric_limits<RealType>::infinity()),  std::domain_error); // x = - infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, +std::numeric_limits<RealType>::infinity()),std::domain_error ); // x = + infinity, cdf = 1
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, +std::numeric_limits<RealType>::infinity())), std::domain_error); // x = + infinity, c cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, -std::numeric_limits<RealType>::infinity())), std::domain_error); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // If no longer allow x or p to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(ichsq, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + quiet_NaN
+    BOOST_MATH_CHECK_THROW(quantile(complement(ichsq, std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + quiet_NaN
+  }
+    // Spot check for pdf using 'naive pdf' function
+  for(RealType x = 0.5; x < 5; x += 0.5)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      pdf(inverse_chi_squared_distribution<RealType>(5, 6), x),
+      naive_pdf(RealType(5), RealType(6), x),
+      tolerance);
+  }   // Spot checks for parameters:
+
+  RealType tol_2eps = boost::math::tools::epsilon<RealType>() * 2; // 2 eps as a fraction.
+  inverse_chi_squared_distribution<RealType> dist51(5, 1);
+  inverse_chi_squared_distribution<RealType> dist52(5, 2);
+  inverse_chi_squared_distribution<RealType> dist31(3, 1);
+  inverse_chi_squared_distribution<RealType> dist111(11, 1);
+  // 11 mean 0.10000000000000001, variance  0.0011111111111111111, sd 0.033333333333333333
+
+  using namespace std; // ADL of std names.
+  using namespace boost::math;
+  
+  inverse_chi_squared_distribution<RealType> dist10(10);
+  //  mean, variance etc
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist10), static_cast<RealType>(0.125), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist10), static_cast<RealType>(0.0052083333333333333333333333333333333333333333333333L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist10), static_cast<RealType>(0.08333333333333333333333333333333333333333333333L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(dist10), static_cast<RealType>(0.10704554778227709530244586234274024205738435512468L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(dist10, median(dist10)), static_cast<RealType>(0.5L), 4 * tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist10), static_cast<RealType>(3.4641016151377545870548926830117447338856105076208L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist10), static_cast<RealType>(45), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist10), static_cast<RealType>(45-3), tol_2eps);
+
+  tol_2eps = boost::math::tools::epsilon<RealType>() * 2; // 2 eps as a percentage.
+
+  // Special and limit cases:
+
+  RealType mx = (std::numeric_limits<RealType>::max)();
+  RealType mi = (std::numeric_limits<RealType>::min)();
+
+  BOOST_CHECK_EQUAL(
+  pdf(inverse_chi_squared_distribution<RealType>(1),
+    static_cast<RealType>(mx)), // max()
+    static_cast<RealType>(0)
+    );
+
+  BOOST_CHECK_EQUAL(
+  pdf(inverse_chi_squared_distribution<RealType>(1),
+    static_cast<RealType>(mi)), // min()
+    static_cast<RealType>(0)
+    );
+
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0)), static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(3L), static_cast<RealType>(0L))
+    , static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(2), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(3), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)), // degrees_of_freedom negative.
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1))), std::domain_error
+    );
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  double tol_few_eps = numeric_limits<double>::epsilon() * 4;
+  
+  // Check that can generate inverse_chi_squared distribution using the two convenience methods:
+  // inverse_chi_squared_distribution; // with default parameters, degrees_of_freedom = 1, scale - 1
+  using boost::math::inverse_chi_squared;
+   
+  // Some constructor tests using default double.
+  double tol4eps = boost::math::tools::epsilon<double>() * 4; // 4 eps as a fraction.
+
+  inverse_chi_squared ichsqdef; // Using typedef and both default parameters.
+
+  BOOST_CHECK_EQUAL(ichsqdef.degrees_of_freedom(), 1.); // df == 1
+  BOOST_CHECK_EQUAL(ichsqdef.scale(), 1); // scale == 1./df
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichsqdef, 1), 0.24197072451914330, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichsqdef, 9), 0.013977156581221969, tol4eps);
+  
+  inverse_chi_squared_distribution<double> ichisq102(10., 2); // Both parameters specified.
+  BOOST_CHECK_EQUAL(ichisq102.degrees_of_freedom(), 10.); // Check both parameters stored OK.
+  BOOST_CHECK_EQUAL(ichisq102.scale(), 2.); // Check both parameters stored OK.
+
+  inverse_chi_squared_distribution<double> ichisq10(10.); // Only df parameter specified (unscaled).
+  BOOST_CHECK_EQUAL(ichisq10.degrees_of_freedom(), 10.); // Check  parameter stored.
+  BOOST_CHECK_EQUAL(ichisq10.scale(), 0.1); // Check default scale = 1/df = 1/10 = 0.1
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq10, 1),  0.00078975346316749169, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq10, 10), 0.0000000012385799798186384, tol4eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichisq10), 0.0833333333333333333333333333333333333333, tol4eps);
+  // nu * xi / nu + 2 = 10 * 0.1 / (10 + 2) = 1/12 =  0.0833333...
+  // mode is not defined in Mathematica.
+  // See Discussion section http://en.wikipedia.org/wiki/Talk:Scaled-inverse-chi-square_distribution
+  // for origin of this formula.
+
+  inverse_chi_squared_distribution<double> ichisq5(5.); // // Only df parameter specified.
+  BOOST_CHECK_EQUAL(ichisq5.degrees_of_freedom(), 5.); // check  parameter stored.
+  BOOST_CHECK_EQUAL(ichisq5.scale(), 1./5.); // check default is 1/df
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq5, 0.2), 3.0510380337346841, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ichisq5, 0.5), 0.84914503608460956, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(ichisq5, 0.5)), 1 - 0.84914503608460956, tol4eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ichisq5, 0.84914503608460956), 0.5, tol4eps*100);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(ichisq5, 1. - 0.84914503608460956)), 0.5, tol4eps*100);
+
+  // Check mean, etc spot values.
+  inverse_chi_squared_distribution<double> ichisq81(8., 1.); // degrees_of_freedom = 5, scale = 1
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq81),1.33333333333333333333333333333333333333333, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq81), 0.888888888888888888888888888888888888888888888, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(ichisq81), 2 * std::sqrt(8.), tol4eps);
+  inverse_chi_squared_distribution<double> ichisq21(2., 1.);
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichisq21), 0.5, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(ichisq21), 1.4426950408889634, tol4eps);
+
+  inverse_chi_squared ichsq4(4.); // Using typedef and degrees_of_freedom parameter (and default scale = 1/df).
+  BOOST_CHECK_EQUAL(ichsq4.degrees_of_freedom(), 4.); // df == 4.
+  BOOST_CHECK_EQUAL(ichsq4.scale(), 0.25); // scale  == 1 /df == 1/4.
+
+  inverse_chi_squared ichsq32(3, 2);
+  BOOST_CHECK_EQUAL(ichsq32.degrees_of_freedom(), 3.); // df == 3.
+  BOOST_CHECK_EQUAL(ichsq32.scale(), 2); // scale  == 2
+  
+  inverse_chi_squared ichsq11(1, 1); // Using explicit degrees_of_freedom parameter, and default scale = 1).
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichsq11), 0.3333333333333333333333333333333333333333, tol4eps);
+  // (1 * 1)/ (1 + 2) = 1/3 using Wikipedia nu * xi /(nu + 2)
+  BOOST_CHECK_EQUAL(ichsq11.degrees_of_freedom(), 1.); // df == 1 (default).
+  BOOST_CHECK_EQUAL(ichsq11.scale(), 1.); // scale == 1.
+  /*
+  // Used to find some 'exact' values for testing mean, variance ...
+  // First with scale fixed at unity (Wikipedia definition 1)
+  cout << "df      scale            mean            variance              sd              median" << endl;
+  for (int degrees_of_freedom = 8; degrees_of_freedom < 30; degrees_of_freedom++)
+  {
+    inverse_chi_squared ichisq(degrees_of_freedom, 1);
+    cout.precision(17);
+    cout << degrees_of_freedom << "    "  << 1 << "  " << mean(ichisq) << ' ' 
+      << variance(ichisq) << ' ' << standard_deviation(ichisq)
+      << ' ' << median(ichisq) << endl;
+  }
+
+  // Default scale = 1 / df
+  cout << "|\n" << "df           scale          mean            variance              sd              median" << endl;
+  for (int degrees_of_freedom = 8; degrees_of_freedom < 30; degrees_of_freedom++)
+  {
+    inverse_chi_squared ichisq(degrees_of_freedom);
+    cout.precision(17);
+    cout << degrees_of_freedom << "    "  << 1./degrees_of_freedom << "  " << mean(ichisq) << ' ' 
+      << variance(ichisq) << ' ' << standard_deviation(ichisq)
+      << ' ' << median(ichisq) << endl;
+  }
+  */
+  inverse_chi_squared_distribution<> ichisq14(14, 1); // Using default RealType double.
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq14), 1.166666666666666666666666666666666666666666666, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq14), 0.272222222222222222222222222222222222222222222, tol4eps);
+
+  inverse_chi_squared_distribution<> ichisq121(12); // Using default RealType double.
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq121),  0.1, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq121), 0.0025, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(ichisq121), 0.05, tol4eps);
+
+  // and "using boost::math::inverse_chi_squared_distribution;".
+  inverse_chi_squared_distribution<> ichsq23(2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(ichsq23.degrees_of_freedom(), 2.); //
+  BOOST_CHECK_EQUAL(ichsq23.scale(), 3.); //
+  BOOST_MATH_CHECK_THROW(mean(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 2
+  BOOST_MATH_CHECK_THROW(variance(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 4
+  BOOST_MATH_CHECK_THROW(skewness(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 6
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 8
+
+  { // Check relationship between inverse gamma and inverse chi_squared distributions.
+  using boost::math::inverse_gamma_distribution;
+
+  double df = 2.;
+  double scale = 1.;
+  double alpha = df/2; // aka inv_gamma shape
+  double beta = scale /2; // inv_gamma scale.
+ 
+  inverse_gamma_distribution<> ig(alpha, beta); 
+
+  inverse_chi_squared_distribution<> ichsq(df, 1./df); // == default scale.
+  BOOST_CHECK_EQUAL(pdf(ichsq, 0), 0); // Special case of zero x.
+
+  double x = 0.5;
+  BOOST_CHECK_EQUAL(pdf(ig, x), pdf(ichsq, x)); // inv_gamma compared to inv_chisq
+  BOOST_CHECK_EQUAL(cdf(ichsq, 0), 0); // Special case of zero.
+  BOOST_CHECK_EQUAL(cdf(ig, x), cdf(ichsq, x)); // invgamma == invchisq
+
+  // Test pdf by comparing using naive_pdf with relation to inverse gamma distribution
+  // wikipedia http://en.wikipedia.org/wiki/Scaled-inverse-chi-square_distribution related distributions.
+  // So if naive_pdf is correct, inverse_chi_squared_distribution should agree.
+  df = 1.; scale = 1.;
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq11, x), tol_few_eps);
+
+  //inverse_gamma_distribution<> igd(df/2, (df * scale)/2); 
+  inverse_gamma_distribution<> igd11(df/2, df * scale/2);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd11, x), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq11, x), tol_few_eps);
+
+  df = 2; scale = 1;
+  inverse_gamma_distribution<> igd21(df/2, df * scale/2);
+  inverse_chi_squared_distribution<> ichsq21(df, scale);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd21, x), tol_few_eps); // 0.54134113294645081 OK 
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq21, x), tol_few_eps); 
+
+  df = 2; scale = 2;
+  inverse_gamma_distribution<> igd22(df/2, df * scale/2);
+  inverse_chi_squared_distribution<> ichsq22(df, scale);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd22, x), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq22, x), tol_few_eps);
+  }
+
+  // Check using float.
+  inverse_chi_squared_distribution<float> igf23(1.f, 2.f); // Using explicit RealType float.
+  BOOST_CHECK_EQUAL(igf23.degrees_of_freedom(), 1.f); //
+  BOOST_CHECK_EQUAL(igf23.scale(), 2.f); //
+  
+  // Check throws from bad parameters.
+  inverse_chi_squared ig051(0.5, 1.); // degrees_of_freedom < 1, so wrong for mean.
+  BOOST_MATH_CHECK_THROW(mean(ig051), std::domain_error);
+  inverse_chi_squared ig191(1.9999, 1.); // degrees_of_freedom < 2, so wrong for variance.
+  BOOST_MATH_CHECK_THROW(variance(ig191), std::domain_error);
+  inverse_chi_squared ig291(2.9999, 1.); // degrees_of_freedom < 3, so wrong for skewness.
+  BOOST_MATH_CHECK_THROW(skewness(ig291), std::domain_error);
+  inverse_chi_squared ig391(3.9999, 1.); // degrees_of_freedom < 1, so wrong for kurtosis and kurtosis_excess.
+  BOOST_MATH_CHECK_THROW(kurtosis(ig391), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ig391), std::domain_error);
+  
+  inverse_chi_squared ig102(10, 2); // Wolfram.com/ page 2, quantile = 2.96859.
+  //http://reference.wolfram.com/mathematica/ref/InverseChiSquareDistribution.html
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.75), 2.96859, 0.000001); 
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig102, 2.96859), 0.75 , 0.000001); 
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(ig102, 2.96859)), 1 - 0.75 , 0.00001); 
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(ig102, 1 - 0.75)), 2.96859, 0.000001); 
+ 
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+
+ /*    */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp b/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp
new file mode 100644
index 00000000..bad1bb15
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp
@@ -0,0 +1,454 @@
+// test_inverse_gamma.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'type' was previously defined as a type
+// in Boost.test and lexical_cast
+#  pragma warning (disable : 4310) // cast truncates constant value
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+//#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <boost/math/distributions/inverse_gamma.hpp> // for inverse_gamma_distribution
+using boost::math::inverse_gamma_distribution;
+using  ::boost::math::inverse_gamma;
+//  using  ::boost::math::cdf;
+//  using  ::boost::math::pdf;
+
+#include <boost/math/special_functions/gamma.hpp> 
+using boost::math::tgamma; // for naive pdf.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType shape, RealType scale, RealType x)
+{ // Formula from Wikipedia
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType result = (pow(scale, shape) * pow(x, (-shape -1)) * exp(-scale/x) ) / tgamma(shape);
+   return result;
+}
+
+// Test using a spot value from some other reference source,
+// in this case test values from output from R provided by Thomas Mang.
+
+template <class RealType>
+void test_spot(
+     RealType shape, // shape,
+     RealType scale, // scale,
+     RealType x, // random variate x,
+     RealType pd, // expected pdf,
+     RealType P, // expected CDF,
+     RealType Q, // expected complement of CDF,
+     RealType tol) // test tolerance.
+{
+   boost::math::inverse_gamma_distribution<RealType> dist(shape, scale);
+
+   BOOST_CHECK_CLOSE_FRACTION
+      ( // Compare to expected PDF.
+      pdf(dist, x), // calculated.
+      pd, // expected
+      tol);
+
+    BOOST_CHECK_CLOSE_FRACTION( // Compare to naive formula (might be less accurate).
+      pdf(dist, x), naive_pdf(dist.shape(), dist.scale(), x), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to expected CDF.
+      cdf(dist, x), P, tol);
+
+   if((P < 0.999) && (Q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), Q, tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, P), x, tol); // quantile(pdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, Q)), x, tol);
+   }
+} // test_spot
+
+// Test using a spot value from some other reference source.
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to six decimal places only
+  // so set tolerance to 0.000001 expressed as a percentage = 0.0001%.
+
+  RealType tolerance = 0.000001f; // as fraction.
+  cout << "Tolerance = " << tolerance * 100 << "%." << endl;
+
+// This test values from output from R provided by Thomas Mang.
+  test_spot(static_cast<RealType>(2), static_cast<RealType>(1), // shape, scale
+  static_cast<RealType>(2.L), // x
+  static_cast<RealType>(0.075816332464079136L), // pdf
+  static_cast<RealType>(0.90979598956895047L), // cdf
+  static_cast<RealType>(1 - 0.90979598956895047L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(1.593), static_cast<RealType>( 0.5), // shape, scale
+  static_cast<RealType>( 0.5), // x
+  static_cast<RealType>(0.82415241749687074L), // pdf
+  static_cast<RealType>(0.60648042700409865L), // cdf
+  static_cast<RealType>(1 - 0.60648042700409865L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(13.319), static_cast<RealType>(0.5), // shape, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.00000000068343206235379223), // pdf
+  static_cast<RealType>(0.99999999997242739L), // cdf
+  static_cast<RealType>(1 - 0.99999999997242739L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(1.593), static_cast<RealType>(1), // shape, scale
+  static_cast<RealType>(1.977), // x
+  static_cast<RealType>(0.11535946773398653L), // pdf
+  static_cast<RealType>(0.82449794420341549L), // cdf
+  static_cast<RealType>(1 - 0.82449794420341549L), // cdf complement
+  tolerance  // tol
+  );
+  
+  test_spot(static_cast<RealType>(6.666), static_cast<RealType>(1.411), // shape, scale
+  static_cast<RealType>(5), // x
+  static_cast<RealType>(0.000000084415758206386872), // pdf
+  static_cast<RealType>(0.99999993427280998L), // cdf
+  static_cast<RealType>(1 - 0.99999993427280998L), // cdf complement
+  tolerance  // tol
+  );
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad1(-1, 0), std::domain_error); // negative shape.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(0, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(-1, -1), std::domain_error); // negative scale and shape.
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, 0), std::domain_error); // negative shape.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(0, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, -1), std::domain_error); // negative scale and shape.
+#endif
+
+  inverse_gamma_distribution<RealType> ig21(2, 1);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(pdf(ig21, +std::numeric_limits<RealType>::infinity()), std::domain_error); // x = + infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(pdf(ig21, -std::numeric_limits<RealType>::infinity()),  std::domain_error); // x = - infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::infinity()),std::domain_error ); // x = + infinity, cdf = 1
+    BOOST_MATH_CHECK_THROW(cdf(ig21, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::infinity())), std::domain_error); // x = + infinity, c cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, -std::numeric_limits<RealType>::infinity())), std::domain_error); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+    // Spot check for pdf using 'naive pdf' function
+  for(RealType x = 0.5; x < 5; x += 0.5)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      pdf(inverse_gamma_distribution<RealType>(5, 6), x),
+      naive_pdf(RealType(5), RealType(6), x),
+      tolerance);
+  }   // Spot checks for parameters:
+
+  RealType tol_few_eps = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+  inverse_gamma_distribution<RealType> dist51(5, 1);
+  inverse_gamma_distribution<RealType> dist52(5, 2);
+  inverse_gamma_distribution<RealType> dist31(3, 1);
+  inverse_gamma_distribution<RealType> dist111(11, 1);
+  // 11 mean 0.10000000000000001, variance  0.0011111111111111111, sd 0.033333333333333333
+
+  RealType x = static_cast<RealType>(0.125);
+  using namespace std; // ADL of std names.
+  using namespace boost::math;
+
+  //  mean, variance etc
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist52), static_cast<RealType>(0.5), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist111), static_cast<RealType>(0.1L), tol_few_eps);
+  inverse_gamma_distribution<RealType> igamma41(static_cast<RealType>(4.), static_cast<RealType>(1.) );
+  BOOST_CHECK_CLOSE_FRACTION(mean(igamma41), static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333333L), tol_few_eps);
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist51), static_cast<RealType>(0.0208333333333333333333333333333333333333333333333333L), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist31), static_cast<RealType>(0.25), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist111), static_cast<RealType>(0.001111111111111111111111111111111111111111111111111L), tol_few_eps);
+  // std deviation:
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist31), static_cast<RealType>(0.5), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist111), static_cast<RealType>(0.0333333333333333333333333333333333333333333333333L), tol_few_eps);
+  // hazard:
+  BOOST_CHECK_CLOSE_FRACTION(hazard(dist51, x), pdf(dist51, x) / cdf(complement(dist51, x)), tol_few_eps);
+ //  cumulative hazard:
+  BOOST_CHECK_CLOSE_FRACTION(chf(dist51, x), -log(cdf(complement(dist51, x))), tol_few_eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(coefficient_of_variation(dist51), standard_deviation(dist51) / mean(dist51), tol_few_eps);
+  // mode:
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist51), static_cast<RealType>(0.166666666666666666666666666666666666666666666666666L), tol_few_eps);
+  // median
+  //BOOST_CHECK_CLOSE_FRACTION(median(dist52), static_cast<RealType>(0), tol_few_eps);
+  // Useful to have an exact median?  Failing that use a loop back test.
+   BOOST_CHECK_CLOSE_FRACTION(cdf(dist111, median(dist111)), 0.5, tol_few_eps);
+  // skewness:
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist111), static_cast<RealType>(1.5), tol_few_eps);
+   //kurtosis:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist51), static_cast<RealType>(42 + 3), tol_few_eps);
+  // kurtosis excess:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist51), static_cast<RealType>(42), tol_few_eps);
+
+  tol_few_eps = boost::math::tools::epsilon<RealType>() * 3; // 3 eps as a percentage.
+
+  // Special and limit cases:
+
+  if(std::numeric_limits<RealType>::is_specialized)
+  {
+    RealType mx = (std::numeric_limits<RealType>::max)();
+    RealType mi = (std::numeric_limits<RealType>::min)();
+
+     BOOST_CHECK_EQUAL(
+     pdf(inverse_gamma_distribution<RealType>(1),
+       static_cast<RealType>(mx)), // max()
+       static_cast<RealType>(0)
+       );
+
+     BOOST_CHECK_EQUAL(
+     pdf(inverse_gamma_distribution<RealType>(1),
+       static_cast<RealType>(mi)), // min()
+       static_cast<RealType>(0)
+       );
+
+  }
+
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)), static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)), // shape negative.
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1))), std::domain_error
+    );
+   check_out_of_range<inverse_gamma_distribution<RealType> >(1, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  // Check that can generate inverse_gamma distribution using the two convenience methods:
+  // inverse_gamma_distribution; // with default parameters, shape = 1, scale - 1
+  using boost::math::inverse_gamma;
+  inverse_gamma ig2(2.); // Using typedef and shape parameter (and default scale = 1).
+  BOOST_CHECK_EQUAL(ig2.shape(), 2.); // scale  == 2.
+  BOOST_CHECK_EQUAL(ig2.scale(), 1.); // scale  == 1 (default).
+  inverse_gamma ig; // Using typedef, type double and default values, shape = 1 and scale = 1
+  // check default is (1, 1)
+  BOOST_CHECK_EQUAL(ig.shape(), 1.); // shape == 1
+  BOOST_CHECK_EQUAL(ig.scale(), 1.); // scale  == 1
+  BOOST_CHECK_EQUAL(mode(ig), 0.5); // mode = 1/2
+
+  // Used to find some 'exact' values for testing mean, variance ...
+ //for (int shape = 4; shape < 30; shape++)
+ // {
+ //   inverse_gamma ig(shape, 1);
+ //   cout.precision(17);
+ //   cout << shape << ' ' << mean(ig) << ' ' << variance(ig) << ' ' << standard_deviation(ig)
+ //     << ' ' << median(ig) << endl;
+ // }
+
+  // and "using boost::math::inverse_gamma_distribution;".
+  inverse_gamma_distribution<> ig23(2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(ig23.shape(), 2.); //
+  BOOST_CHECK_EQUAL(ig23.scale(), 3.); //
+
+  inverse_gamma_distribution<float> igf23(1.f, 2.f); // Using explicit RealType float.
+  BOOST_CHECK_EQUAL(igf23.shape(), 1.f); //
+  BOOST_CHECK_EQUAL(igf23.scale(), 2.f); //
+  // Some tests using default double.
+  double tol5eps = boost::math::tools::epsilon<double>() * 5; // 5 eps as a fraction.
+  inverse_gamma_distribution<double> ig102(10., 2.); //
+  BOOST_CHECK_EQUAL(ig102.shape(), 10.); //
+  BOOST_CHECK_EQUAL(ig102.scale(), 2.); //
+  // formatC(SuppDists::dinvGauss(10, 1, 0.5), digits=17)[1] "0.0011774669940754754"
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ig102, 0.5), 0.1058495335284024, tol5eps);
+  // formatC(SuppDists::pinvGauss(10, 1, 0.5), digits=17) [1] "0.99681494462166653"
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig102, 0.5), 0.99186775720306608, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.05), 0.12734622346137681, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.5), 0.20685272858879727, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.95),  0.36863602680851204, tol5eps);
+  // Check mean, etc spot values.
+  inverse_gamma_distribution<double> ig51(5., 1.); // shape = 5, scale = 1
+  BOOST_CHECK_CLOSE_FRACTION(mean(ig51), 0.25, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ig51), 0.0208333333333333333333333333333333333333333, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(ig51), 2 * std::sqrt(3.), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(ig51), 42, tol5eps);
+  // mode and median
+  inverse_gamma_distribution<double> ig21(1., 2.);
+  BOOST_CHECK_CLOSE_FRACTION(mode(ig21), 1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(ig21), 2.8853900817779268, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig21, 0.5), 2.8853900817779268, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig21, median(ig21)), 0.5, tol5eps);
+
+    // Check throws from bad parameters.
+  inverse_gamma ig051(0.5, 1.); // shape < 1, so wrong for mean.
+  BOOST_MATH_CHECK_THROW(mean(ig051), std::domain_error);
+  inverse_gamma ig191(1.9999, 1.); // shape < 2, so wrong for variance.
+  BOOST_MATH_CHECK_THROW(variance(ig191), std::domain_error);
+  inverse_gamma ig291(2.9999, 1.); // shape < 3, so wrong for skewness.
+  BOOST_MATH_CHECK_THROW(skewness(ig291), std::domain_error);
+  inverse_gamma ig391(3.9999, 1.); // shape < 1, so wrong for kurtosis and kurtosis_excess.
+  BOOST_MATH_CHECK_THROW(kurtosis(ig391), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ig391), std::domain_error);
+
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+------ Build started: Project: test_inverse_gamma_distribution, Configuration: Release Win32 ------
+  test_inverse_gamma_distribution.cpp
+  Generating code
+  Finished generating code
+  test_inverse_gamma_distribution.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_inverse_gamma_distribution.exe
+  Running 1 test case...
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+
+  *** No errors detected
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_inverse_gaussian.cpp b/src/boost/libs/math/test/test_inverse_gaussian.cpp
new file mode 100644
index 00000000..2bb53031
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_gaussian.cpp
@@ -0,0 +1,355 @@
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'type' was previously defined as a type
+// in Boost.test and lexical_cast
+#  pragma warning (disable : 4310) // cast truncates constant value
+#  pragma warning (disable : 4512) // assignment operator could not be generated
+
+#endif
+
+//#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/inverse_gaussian.hpp>
+using boost::math::inverse_gaussian_distribution;
+using boost::math::inverse_gaussian;
+
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void check_inverse_gaussian(RealType mean, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+ using boost::math::inverse_gaussian_distribution;
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(   // Check cdf
+    inverse_gaussian_distribution<RealType>(mean, scale),      // distribution.
+    x),    // random variable.
+    p,     // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf( // Check cdf complement
+    complement( 
+    inverse_gaussian_distribution<RealType>(mean, scale),   // distribution.
+    x)),   // random variable.
+    q,      // probability complement.
+    tol);    // %tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile
+    inverse_gaussian_distribution<RealType>(mean, scale),    // distribution.
+    p),   // probability.
+    x,   // random variable.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile complement
+    complement(
+    inverse_gaussian_distribution<RealType>(mean, scale),   // distribution.
+    q)),   // probability complement.
+    x,     // random variable.
+    tol);  // tolerance.
+
+   inverse_gaussian_distribution<RealType> dist (mean, scale);
+
+   if((p < 0.999) && (q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, p), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks
+  RealType tolerance = static_cast<RealType>(1e-4L); // 
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << endl;
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType> nbad1(0, 0), std::domain_error); // zero scale
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType> nbad1(0, -1), std::domain_error); // negative scale
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType>(0, 0), std::domain_error); // zero scale
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType>(0, -1), std::domain_error); // negative scale
+#endif
+
+  inverse_gaussian_distribution<RealType> w11;
+
+  // Error tests:
+  check_out_of_range<inverse_gaussian_distribution<RealType> >(0.25, 1);
+  
+  // Check complements.
+
+    BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(w11, 1.)), static_cast<RealType>(1) - cdf(w11, 1.), tolerance); // cdf complement
+    // cdf(complement = 1 - cdf  - but if cdf near unity, then loss of accuracy in cdf,
+    // but cdf complement is near zero but more accurate.
+
+     BOOST_CHECK_CLOSE_FRACTION( // quantile(complement p) == quantile(1 - p)
+     quantile(complement(w11, static_cast<RealType>(0.5))), 
+     quantile(w11, 1 - static_cast<RealType>(0.5)),
+     tolerance); // cdf complement
+
+  check_inverse_gaussian(
+     static_cast<RealType>(2),
+     static_cast<RealType>(3),
+     static_cast<RealType>(1),
+     static_cast<RealType>(0.28738674440477374),
+     static_cast<RealType>(1 - 0.28738674440477374),
+     tolerance);
+
+  RealType tolfeweps = boost::math::tools::epsilon<RealType>() * 5;
+
+  inverse_gaussian_distribution<RealType> dist(2, 3);
+
+  using namespace std; // ADL of std names.
+  // mean:
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist),
+    static_cast<RealType>(2), tolfeweps);
+  BOOST_CHECK_CLOSE_FRACTION(scale(dist),
+    static_cast<RealType>(3), tolfeweps);
+
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist),
+    static_cast<RealType>(2.6666666666666666666666666666666666666666666666666666666667L), 1000*tolfeweps);
+  // std deviation:
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist), 
+    static_cast<RealType>(1.632993L), 1000 * tolerance);
+  //// hazard:
+  //BOOST_CHECK_CLOSE_FRACTION(hazard(dist, x),
+  //  pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+  //// cumulative hazard:
+  //BOOST_CHECK_CLOSE_FRACTION(chf(dist, x),
+  //  -log(cdf(complement(dist, x))), tolerance);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(coefficient_of_variation(dist),
+    standard_deviation(dist) / mean(dist), tolerance);
+  // mode:
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist),
+    static_cast<RealType>(0.8284271L), tolerance);
+
+  // median
+  BOOST_CHECK_CLOSE_FRACTION(median(dist),
+    static_cast<RealType>(1.5122506636053668L), tolerance);
+  // Fails for real_concept - because std::numeric_limits<RealType>::digits = 0
+
+  // skewness:
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist),
+    static_cast<RealType>(2.449490L), tolerance);
+  // kurtosis:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist),
+    static_cast<RealType>(10-3), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist),
+    static_cast<RealType>(10), tolerance);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  using boost::math::inverse_gaussian;
+  using boost::math::inverse_gaussian_distribution;
+
+  //int precision = 17; // std::numeric_limits<double::max_digits10;
+  double tolfeweps = numeric_limits<double>::epsilon() * 5;
+  //double tol6decdigits = numeric_limits<float>::epsilon() * 2;
+  // Check that can generate inverse_gaussian distribution using the two convenience methods:
+  boost::math::inverse_gaussian w12(1., 2); // Using typedef
+  inverse_gaussian_distribution<> w23(2., 3); // Using default RealType double.
+  boost::math::inverse_gaussian w11; // Use default unity values for mean and scale.
+  // Note NOT myn01() as the compiler will interpret as a function!
+  BOOST_CHECK_EQUAL(w11.mean(), 1);
+  BOOST_CHECK_EQUAL(w11.scale(), 1);
+  BOOST_CHECK_EQUAL(w23.mean(), 2);
+  BOOST_CHECK_EQUAL(w23.scale(), 3);
+  BOOST_CHECK_EQUAL(w23.shape(), 1.5L);
+
+  // Check the synonyms, provided to allow generic use of find_location and find_scale.
+  BOOST_CHECK_EQUAL(w11.mean(), w11.location());
+  BOOST_CHECK_EQUAL(w11.scale(), w11.scale());
+
+  BOOST_CHECK_CLOSE_FRACTION(mean(w11), static_cast<double>(1), tolfeweps); // Default mean == unity
+  BOOST_CHECK_CLOSE_FRACTION(scale(w11), static_cast<double>(1), tolfeweps); // Default mean == unity
+
+  // median
+  // (test double because fails for real_concept because numeric_limits<real_concept>::digits = 0)
+  BOOST_CHECK_CLOSE_FRACTION(median(w11),
+    static_cast<double>(0.67584130569523893), tolfeweps);
+  BOOST_CHECK_CLOSE_FRACTION(median(w23),
+    static_cast<double>(1.5122506636053668), tolfeweps);
+  
+  // Initial spot tests using double values from R.
+  // library(SuppDists)
+  // formatC(SuppDists::dinverse_gaussian(1, 1, 1), digits=17) ...
+  BOOST_CHECK_CLOSE_FRACTION( //  x = 1
+    pdf(w11, 1.), static_cast<double>(0.3989422804014327), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1.), static_cast<double>(0.66810200122317065), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 0.1), static_cast<double>(0.21979480031862672), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.1), static_cast<double>(0.0040761113207110162), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION( // small x
+    pdf(w11, 0.01), static_cast<double>(2.0811768202028392e-19), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.01), static_cast<double>(4.122313403318778e-23), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION( // smaller x
+    pdf(w11, 0.001), static_cast<double>(2.4420044378793562e-213),  tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.001), static_cast<double>(4.8791443010851493e-219), 1000 * tolfeweps); // cdf
+  // 4.8791443010859224e-219 versus 4.8791443010851493e-219 so still 14 decimal digits.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.66810200122317065), static_cast<double>(1.), 1 * tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.0040761113207110162), static_cast<double>(0.1), 1 * tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 4.122313403318778e-23), 0.01, 1 * tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 2.4420044378793562e-213), 0.001, 0.03); // quantile
+  // quantile 0.001026926242348481 compared to expected 0.001, so much less accurate,
+  // but better than R that gives up completely!
+  // R Error in SuppDists::qinverse_gaussian(4.87914430108515e-219, 1, 1) : Infinite value in NewtonRoot()
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 0.5), static_cast<double>(0.87878257893544476), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.5), static_cast<double>(0.3649755481729598), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 2), static_cast<double>(0.10984782236693059), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 2), static_cast<double>(.88547542598600637), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 10), static_cast<double>(0.00021979480031862676), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 10), static_cast<double>(0.99964958546279115), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 100), static_cast<double>(2.0811768202028246e-25), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 100), static_cast<double>(1), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 1000), static_cast<double>(2.4420044378793564e-222), 10 * tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1000), static_cast<double>(1.), tolfeweps); // cdf
+
+  // A few more misc tests, probably not very useful.  
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1.), static_cast<double>(0.66810200122317065), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.1), static_cast<double>(0.0040761113207110162), tolfeweps * 5); // cdf
+  // 0.0040761113207110162   0.0040761113207110362
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.2), static_cast<double>(0.063753567519976254), tolfeweps * 5); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.5), static_cast<double>(0.3649755481729598), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.9), static_cast<double>(0.62502320258649202), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.99), static_cast<double>(0.66408247396139031), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.999), static_cast<double>(0.66770275955311675), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 10.), static_cast<double>(0.99964958546279115), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 50.), static_cast<double>(0.99999999999992029), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.3649755481729598), static_cast<double>(0.5), tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.62502320258649202), static_cast<double>(0.9), tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.0040761113207110162), static_cast<double>(0.1), tolfeweps); // quantile
+
+  // Wald(2,3) tests
+  // ===================
+  BOOST_CHECK_CLOSE_FRACTION( // formatC(SuppDists::dinvGauss(1, 2, 3), digits=17) "0.47490884963330904"
+    pdf(w23, 1.), static_cast<double>(0.47490884963330904), tolfeweps ); // pdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 0.1), static_cast<double>(2.8854207087665401e-05), tolfeweps * 2); // pdf
+  //2.8854207087665452e-005 2.8854207087665401e-005
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 10.), static_cast<double>(0.0019822751498574636), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 10.), static_cast<double>(0.0019822751498574636), tolfeweps); // pdf
+
+  // Bigger changes in mean and scale.
+
+  inverse_gaussian w012(0.1, 2);
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w012, 1.), static_cast<double>(3.7460367141230404e-36), tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w012, 1.), static_cast<double>(1), tolfeweps ); // pdf
+
+  inverse_gaussian w0110(0.1, 10);
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w0110, 1.), static_cast<double>(1.6279643678071011e-176), 100 * tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w0110, 1.), static_cast<double>(1), tolfeweps ); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(w0110, 1.)), static_cast<double>(3.2787685715328683e-179), 1e6 * tolfeweps ); // cdf complement
+  // Differs because of loss of accuracy.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w0110, 0.1), static_cast<double>(39.894228040143268), tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w0110, 0.1), static_cast<double>(0.51989761564832704), 10 * tolfeweps ); // cdf
+
+    // Basic sanity-check spot values for all floating-point types..
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  /*      */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_jacobi.cpp b/src/boost/libs/math/test/test_jacobi.cpp
new file mode 100644
index 00000000..d4e7cc0a
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include <test_jacobi.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Jacobi Elliptic Functions.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 500, 250);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Large Phi.*",               // test data group
+      ".*", 50000, 5000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*near 1.*",               // test data group
+      ".*", 7000, 500);            // test function
+
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      //
+      // Some errors spill over into double precision:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*Large Phi.*",                  // test data group
+         ".*", 500, 50);                // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*near 1.*",                  // test data group
+         ".*", 10, 5);                // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+    
+}
diff --git a/src/boost/libs/math/test/test_jacobi.hpp b/src/boost/libs/math/test/test_jacobi.hpp
new file mode 100644
index 00000000..b6023ae6
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi.hpp
@@ -0,0 +1,190 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_sn(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef SN_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = SN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::jacobi_sn<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::jacobi_sn;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_sn", test);
+
+#ifdef CN_FUNCTION_TO_TEST
+    fp2 = CN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    fp2 = boost::math::jacobi_cn<value_type, value_type>;
+#else
+    fp2 = boost::math::jacobi_cn;
+#endif
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(3));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_cn", test);
+
+#ifdef SN_FUNCTION_TO_TEST
+    fp2 = DN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    fp2 = boost::math::jacobi_dn<value_type, value_type>;
+#else
+    fp2 = boost::math::jacobi_dn;
+#endif
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(4));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_dn", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's Sn/Cn/Dn accepts k^2 as the second parameter.
+    // Arguments here are theta, k, sn, cn, dn
+    static const boost::array<boost::array<T, 5>, 36> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+        {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+
+        // Try modulus > 1
+        {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+        {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+
+        // Special Values:
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }},
+        {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }},
+    }};
+    do_test_sn<T>(data1, type_name, "Jacobi Elliptic: Mathworld Data");
+
+#include "jacobi_elliptic.ipp"
+    do_test_sn<T>(jacobi_elliptic, type_name, "Jacobi Elliptic: Random Data");
+#include "jacobi_elliptic_small.ipp"
+    do_test_sn<T>(jacobi_elliptic_small, type_name, "Jacobi Elliptic: Random Small Values");
+#include "jacobi_near_1.ipp"
+    do_test_sn<T>(jacobi_near_1, type_name, "Jacobi Elliptic: Modulus near 1");
+#include "jacobi_large_phi.ipp"
+    do_test_sn<T>(jacobi_large_phi, type_name, "Jacobi Elliptic: Large Phi");
+
+    //
+    // Sanity checks for all the various derived functions - these are all
+    // trivial wrappers around the main three that are tested above - so just
+    // use a simple sanity check for each one.
+    // Test values are from functions.wolfram.com:
+    //
+    T tol = boost::math::tools::epsilon<T>() * 100;
+    boost::math::policies::policy<> pol;
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cd(T(0.5), T(0.5)), static_cast<T>(0.905869360370352996327275878479104183407762212476128499788493L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cd(T(0.5), T(0.5), pol), static_cast<T>(0.905869360370352996327275878479104183407762212476128499788493L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cn(T(0.5), T(0.5)), static_cast<T>(0.879941022963758342138211939938800035594045353539382810624647L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cn(T(0.5), T(0.5), pol), static_cast<T>(0.879941022963758342138211939938800035594045353539382810624647L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cs(T(0.5), T(0.5)), static_cast<T>(1.85218402142505803268146025319200184620073865036147924150565L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cs(T(0.5), T(0.5), pol), static_cast<T>(1.85218402142505803268146025319200184620073865036147924150565L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dc(T(0.5), T(0.5)), static_cast<T>(1.10391193669599654696698383614539220889596741980833071370343L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dc(T(0.5), T(0.5), pol), static_cast<T>(1.10391193669599654696698383614539220889596741980833071370343L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dn(T(0.5), T(0.5)), static_cast<T>(0.971377398838178842823315157470233933307542433588855341182382L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dn(T(0.5), T(0.5), pol), static_cast<T>(0.971377398838178842823315157470233933307542433588855341182382L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ds(T(0.5), T(0.5)), static_cast<T>(2.04464805020871497502900445828888632133468724223115900866414L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ds(T(0.5), T(0.5), pol), static_cast<T>(2.04464805020871497502900445828888632133468724223115900866414L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nc(T(0.5), T(0.5)), static_cast<T>(1.13643979983097851593855424992691981204889859711476187519109L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nc(T(0.5), T(0.5), pol), static_cast<T>(1.13643979983097851593855424992691981204889859711476187519109L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nd(T(0.5), T(0.5)), static_cast<T>(1.02946599457230050141998045852435702297405263760707971258676L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nd(T(0.5), T(0.5), pol), static_cast<T>(1.02946599457230050141998045852435702297405263760707971258676L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ns(T(0.5), T(0.5)), static_cast<T>(2.10489563855842977359275221390569031239706339764770047142101L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ns(T(0.5), T(0.5), pol), static_cast<T>(2.10489563855842977359275221390569031239706339764770047142101L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sc(T(0.5), T(0.5)), static_cast<T>(0.539903156723383602910722041849329275299051877814755451255071L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sc(T(0.5), T(0.5), pol), static_cast<T>(0.539903156723383602910722041849329275299051877814755451255071L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sd(T(0.5), T(0.5)), static_cast<T>(0.489081727242945953222289853693492188561192086497066116267160L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sd(T(0.5), T(0.5), pol), static_cast<T>(0.489081727242945953222289853693492188561192086497066116267160L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sn(T(0.5), T(0.5)), static_cast<T>(0.475082936028536510082218324703870258745078171807428948028252L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sn(T(0.5), T(0.5), pol), static_cast<T>(0.475082936028536510082218324703870258745078171807428948028252L), tol);
+
+}
+
diff --git a/src/boost/libs/math/test/test_jacobi_zeta.cpp b/src/boost/libs/math/test/test_jacobi_zeta.cpp
new file mode 100644
index 00000000..77f33efb
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi_zeta.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_jacobi_zeta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_jacobi_zeta.hpp b/src/boost/libs/math/test/test_jacobi_zeta.hpp
new file mode 100644
index 00000000..a8cc26f7
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi_zeta.hpp
@@ -0,0 +1,94 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+//#include <boost/math/special_functions/next.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_jacobi_zeta(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(JACOBI_ZETA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef JACOBI_ZETA_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = JACOBI_ZETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::jacobi_zeta;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_zeta", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 18> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.055317014255129651475392155709691519) } },
+       { { SC_(-0.5), SC_(0.5), SC_(-0.055317014255129651475392155709691519) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.061847782565098669252626761181452815) } },
+//        { { boost::math::float_prior(boost::math::constants::half_pi<T>()), T(0.5), SC_(0) } },
+        { { SC_(1), T(0), SC_(0) } },
+        { { SC_(1), T(1), SC_(0.84147098480789650665250232163029900) } },
+        { { SC_(2), T(0.5), SC_(-0.051942537457672732722176231281435254) } },
+        { { SC_(5), T(0.5), SC_(-0.037609329968145259476447488930872898) } },
+        { { SC_(0.5), SC_(1), SC_(0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { boost::math::constants::half_pi<T>() - static_cast<T>(1) / 1024, SC_(1), SC_(0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { boost::math::constants::half_pi<T>() + static_cast<T>(1) / 1024, SC_(1), SC_(-0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { SC_(2), SC_(1), SC_(-0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(3), SC_(1), SC_(-0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(4), SC_(1), SC_(0.756802495307928251372639094511829094135912887336472571485416) } },
+        { { SC_(-0.5), SC_(1), SC_(-0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { SC_(-2), SC_(1), SC_(0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(-3), SC_(1), SC_(0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(-4), SC_(1), SC_(-0.756802495307928251372639094511829094135912887336472571485416) } },
+    }};
+
+    do_test_jacobi_zeta<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "jacobi_zeta_data.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_data, type_name, "Elliptic Integral Jacobi Zeta: Random Data");
+
+#include "jacobi_zeta_big_phi.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_big_phi, type_name, "Elliptic Integral Jacobi Zeta: Large Phi Values");
+}
+
diff --git a/src/boost/libs/math/test/test_laguerre.cpp b/src/boost/libs/math/test/test_laguerre.cpp
new file mode 100644
index 00000000..daf7ce02
--- /dev/null
+++ b/src/boost/libs/math/test/test_laguerre.cpp
@@ -0,0 +1,173 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_laguerre.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Laguerre polynomials.  
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux special cases, error rates seem to be much higer here
+   // even though the implementation contains nothing but basic
+   // arithmetic?
+   //
+   if((std::numeric_limits<long double>::digits <= 64)
+      && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 10, 5);                  // test function
+#endif
+   }
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux.*|Mac OS|Sun.*",        // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux.*|Mac OS|Sun.*",        // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      "GNU.*",                   // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      "GNU.*",                   // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "IBM Aix",                     // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 500);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "IBM Aix",                     // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 500);            // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 4000, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 4000, 500);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_laguerre(0.1F, "float");
+#endif
+   test_laguerre(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_laguerre(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_laguerre(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_laguerre.hpp b/src/boost/libs/math/test/test_laguerre.hpp
new file mode 100644
index 00000000..a0542d12
--- /dev/null
+++ b/src/boost/libs/math/test/test_laguerre.hpp
@@ -0,0 +1,139 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_laguerre2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LAGUERRE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef LAGUERRE_FUNCTION_TO_TEST
+   pg funcp = LAGUERRE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::laguerre<value_type>;
+#else
+   pg funcp = boost::math::laguerre;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test laguerre against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, x)", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_laguerre3(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ASSOC_LAGUERRE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, unsigned, value_type);
+#ifdef ASSOC_LAGUERRE_FUNCTION_TO_TEST
+   pg funcp = ASSOC_LAGUERRE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::laguerre<unsigned, value_type>;
+#else
+   pg funcp = boost::math::laguerre;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test laguerre against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int2<Real>(funcp, 0, 1, 2), 
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, m, x)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_laguerre(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "laguerre2.ipp"
+
+   do_test_laguerre2<T>(laguerre2, name, "Laguerre Polynomials");
+
+#  include "laguerre3.ipp"
+
+   do_test_laguerre3<T>(laguerre3, name, "Associated Laguerre Polynomials");
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(0.5L)), static_cast<T>(-0.3307291666666666666666666666666666666667L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(0.5L)), static_cast<T>(-0.5183392237103174603174603174603174603175L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(0.5L)), static_cast<T>(0.3120174870800154148915399248893113634676L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(0.5L)), static_cast<T>(-0.3181388060269979064951118308575628226834L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(-0.5L)), static_cast<T>(1.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(-0.5L)), static_cast<T>(3.835937500000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(-0.5L)), static_cast<T>(7.950934709821428571428571428571428571429L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(-0.5L)), static_cast<T>(76.12915699869631476833699787070874048223L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(-0.5L)), static_cast<T>(2307.428631277506570629232863491518399720L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(4.5L)), static_cast<T>(-3.500000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(4.5L)), static_cast<T>(0.08593750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(4.5L)), static_cast<T>(-1.036928013392857142857142857142857142857L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(4.5L)), static_cast<T>(1.437239150257817378525582974722170737587L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(4.5L)), static_cast<T>(-0.7795068145562651416494321484050019245248L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, 5, static_cast<T>(0.5L)), static_cast<T>(88.31510416666666666666666666666666666667L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 0, static_cast<T>(2.5L)), static_cast<T>(-0.8802526766660982969576719576719576719577L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 1, static_cast<T>(4.5L)), static_cast<T>(1.564311458042689732142857142857142857143L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 6, static_cast<T>(8.5L)), static_cast<T>(20.51596541066649098875661375661375661376L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 12, static_cast<T>(12.5L)), static_cast<T>(-199.5560968456234671241181657848324514991L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, 40, static_cast<T>(12.5L)), static_cast<T>(-4.996769495006119488583146995907246595400e16L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w.cpp b/src/boost/libs/math/test/test_lambert_w.cpp
new file mode 100644
index 00000000..15834b2c
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w.cpp
@@ -0,0 +1,1145 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w.cpp
+//! \brief Basic sanity tests for Lambert W function using algorithms
+// informed by Thomas Luu, Darko Veberic and Tosio Fukushima for W0
+// and rational polynomials by John Maddock.
+
+// #define BOOST_MATH_TEST_MULTIPRECISION  // Add tests for several multiprecision types (not just built-in).
+// #define BOOST_MATH_TEST_FLOAT128 // Add test using float128 type (GCC only, needing gnu++17 and quadmath library).
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+// Needs gnu++17 for BOOST_HAS_FLOAT128
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50;
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+
+#ifdef BOOST_HAS_FLOAT128
+// Including this header below without float128 triggers:
+// fatal error C1189: #error:  "Sorry compiler is neither GCC, not Intel, don't know how to configure this header."
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif // ifdef BOOST_HAS_FLOAT128
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+
+#endif //   #ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+//#include <boost/fixed_point/fixed_point.hpp> // If available.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept tests.
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) boost::lexical_cast<typename table_type<T>::type>(BOOST_STRINGIZE(x))
+#endif
+
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <exception>
+
+std::string show_versions(void);
+
+//! Build a message of information about build, architecture, address model, platform, ...
+std::string show_versions(void)
+{
+  // Some of this information can also be obtained from running with a Custom Post-build step
+  // adding the option --build_info=yes
+    // "$(TargetDir)$(TargetName).exe" --build_info=yes
+
+  std::ostringstream message;
+
+  message << "Program: " << __FILE__ << "\n";
+#ifdef __TIMESTAMP__
+  message << __TIMESTAMP__;
+#endif
+  message << "\nBuildInfo:\n" "  Platform " << BOOST_PLATFORM;
+  // http://stackoverflow.com/questions/1505582/determining-32-vs-64-bit-in-c
+#if defined(__LP64__) || defined(_WIN64) || (defined(__x86_64__) && !defined(__ILP32__) ) || defined(_M_X64) || defined(__ia64) || defined (_M_IA64) || defined(__aarch64__) || defined(__powerpc64__)
+  message << ", 64-bit.";
+#else
+  message << ", 32-bit.";
+#endif
+
+  message << "\n  Compiler " BOOST_COMPILER;
+#ifdef BOOST_MSC_VER
+#ifdef _MSC_FULL_VER
+  message << "\n  MSVC version " << BOOST_STRINGIZE(_MSC_FULL_VER) << ".";
+#endif
+#ifdef __WIN64
+  mess age << "\n WIN64" << std::endl;
+#endif // __WIN64
+#ifdef _WIN32
+  message << "\n WIN32" << std::endl;
+#endif  // __WIN32
+#endif
+#ifdef __GNUC__
+  //PRINT_MACRO(__GNUC__);
+  //PRINT_MACRO(__GNUC_MINOR__);
+  //PRINT_MACRO(__GNUC_PATCH__);
+  std::cout << "GCC " << __VERSION__ << std::endl;
+  //PRINT_MACRO(LONG_MAX);
+#endif // __GNUC__
+
+#ifdef __MINGW64__
+std::cout << "MINGW64 " << __MINGW32_MAJOR_VERSION << __MINGW32_MINOR_VERSION << std::endl;
+//
+//  << __MINGW64_MAJOR_VERSION << __MINGW64_MINOR_VERSION << std::endl; not declared in this scope???
+#endif // __MINGW64__
+
+#ifdef __MINGW32__
+std::cout << "MINGW64 " << __MINGW32_MAJOR_VERSION << __MINGW32_MINOR_VERSION << std::endl;
+#endif // __MINGW32__
+
+  message << "\n  STL " << BOOST_STDLIB;
+  message << "\n  Boost version " << BOOST_VERSION / 100000 << "." << BOOST_VERSION / 100 % 1000 << "." << BOOST_VERSION % 100;
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+  message << "\nBOOST_MATH_TEST_MULTIPRECISION defined for multiprecision tests. " << std::endl;
+#else
+ message << "\nBOOST_MATH_TEST_MULTIPRECISION not defined so NO multiprecision tests. " << std::endl;
+#endif // BOOST_MATH_TEST_MULTIPRECISION
+
+#ifdef BOOST_HAS_FLOAT128
+  message << "BOOST_HAS_FLOAT128 is defined." << std::endl;
+#endif // ifdef BOOST_HAS_FLOAT128
+
+  message << std::endl;
+  return message.str();
+} // std::string show_versions()
+
+
+template <class T>
+void wolfram_test_moderate_values()
+{
+   //
+   // Spots of moderate value http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2Bi,+50%5D,+N%5BLambertW%5B-1%2Fe%2Bi%5D,+50%5D%5D,+%7Bi,+1%2F8,+6,+1%2F8%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 96/2> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(-0.24287944117144232159552377016146086744581113103177), SC_(-0.34187241316000572901412382650748493957063539755395) }},{{ SC_(-0.11787944117144232159552377016146086744581113103177), SC_(-0.13490446826612135454875992607636577833255418182633) }},{{ SC_(0.0071205588285576784044762298385391325541888689682322), SC_(0.0070703912528860797819274709355398032954165697080076) }},{{ SC_(0.13212055882855767840447622983853913255418886896823), SC_(0.11747650174894814471295063763686399700941650918302) }},{{ SC_(0.25712055882855767840447622983853913255418886896823), SC_(0.20869089404810562424547046857454995304964242368484) }},{{ SC_(0.38212055882855767840447622983853913255418886896823), SC_(0.28683366713002653952708635029764106993377156175310) }},{{ SC_(0.50712055882855767840447622983853913255418886896823), SC_(0.35542749308004931507852679571061486656821523044053) }},{{ SC_(0.63212055882855767840447622983853913255418886896823), SC_(0.41670399881776590750659327292575356285757792776250) }},{{ SC_(0.75712055882855767840447622983853913255418886896823), SC_(0.47217430075943420437939326812963066971059146681283) }},{{ SC_(0.88212055882855767840447622983853913255418886896823), SC_(0.52291321715862065064992942239384690347359852107504) }},{{ SC_(1.0071205588285576784044762298385391325541888689682), SC_(0.56971477154593975582335630229323210831843899740884) }},{{ SC_(1.1321205588285576784044762298385391325541888689682), SC_(0.61318350578224462394572352964726524514921241969798) }},{{ SC_(1.2571205588285576784044762298385391325541888689682), SC_(0.65379115237566259933564436658873734121781110980034) }},{{ SC_(1.3821205588285576784044762298385391325541888689682), SC_(0.69191341320406026236753559968630177636780741203666) }},{{ SC_(1.5071205588285576784044762298385391325541888689682), SC_(0.72785472286747598788295903283683432537852776142064) }},{{ SC_(1.6321205588285576784044762298385391325541888689682), SC_(0.76186544538805130363636977458614856100481979440639) }},{{ SC_(1.7571205588285576784044762298385391325541888689682), SC_(0.79415413501531119849043049331889268136479923750037) }},{{ SC_(1.8821205588285576784044762298385391325541888689682), SC_(0.82489647878345700122288701550494847447982817483512) }},{{ SC_(2.0071205588285576784044762298385391325541888689682), SC_(0.85424194939386899439722948096520865643710851410970) }},{{ SC_(2.1321205588285576784044762298385391325541888689682), SC_(0.88231884173371311472940735780441644004275449741412) }},{{ SC_(2.2571205588285576784044762298385391325541888689682), SC_(0.90923814516532488963517314558961057510689871415824) }},{{ SC_(2.3821205588285576784044762298385391325541888689682), SC_(0.93509656212104191797135657485515114635876341802516) }},{{ SC_(2.5071205588285576784044762298385391325541888689682), SC_(0.95997889061117906067636869169049106690165665554172) }},{{ SC_(2.6321205588285576784044762298385391325541888689682), SC_(0.98395992590529701946948066548039809917492328184099) }},{{ SC_(2.7571205588285576784044762298385391325541888689682), SC_(1.0071059939771381126732041109492705496242899774655) }},{{ SC_(2.8821205588285576784044762298385391325541888689682), SC_(1.0294761995723706229651673877352399077168142413723) }},{{ SC_(3.0071205588285576784044762298385391325541888689682), SC_(1.0511234507020167125769191146012321442040919222298) }},{{ SC_(3.1321205588285576784044762298385391325541888689682), SC_(1.0720953062286332723365148290552887215464891915069) }},{{ SC_(3.2571205588285576784044762298385391325541888689682), SC_(1.0924346821831089228990349517861599064007594751702) }},{{ SC_(3.3821205588285576784044762298385391325541888689682), SC_(1.1121804443118533629930276674418322662764569673766) }},{{ SC_(3.5071205588285576784044762298385391325541888689682), SC_(1.1313679082795201044696522785560810652358663683706) }},{{ SC_(3.6321205588285576784044762298385391325541888689682), SC_(1.1500292643692387775614691790201052907317404963905) }},{{ SC_(3.7571205588285576784044762298385391325541888689682), SC_(1.1681939400299161555212785901786587344721733034978) }},{{ SC_(3.8821205588285576784044762298385391325541888689682), SC_(1.1858889109341735194685896928615740804115521714257) }},{{ SC_(4.0071205588285576784044762298385391325541888689682), SC_(1.2031389691267953962289622785796365085402661808452) }},{{ SC_(4.1321205588285576784044762298385391325541888689682), SC_(1.2199669552139996161903252772502362264684476580522) }},{{ SC_(4.2571205588285576784044762298385391325541888689682), SC_(1.2363939602597347325278067608637615539794532870296) }},{{ SC_(4.3821205588285576784044762298385391325541888689682), SC_(1.2524395020361026107226019920575290018966524482736) }},{{ SC_(4.5071205588285576784044762298385391325541888689682), SC_(1.2681216794607666389159742215265331040507889789444) }},{{ SC_(4.6321205588285576784044762298385391325541888689682), SC_(1.2834573083995295018572263393035905604511320189369) }},{{ SC_(4.7571205588285576784044762298385391325541888689682), SC_(1.2984620414827281167361144981111712803667945033184) }},{{ SC_(4.8821205588285576784044762298385391325541888689682), SC_(1.3131504741533499076663954559108617687274731330916) }},{{ SC_(5.0071205588285576784044762298385391325541888689682), SC_(1.3275362388125116267199919229657120782894307415376) }},{{ SC_(5.1321205588285576784044762298385391325541888689682), SC_(1.3416320886383928057123774168081846145768561516693) }},{{ SC_(5.2571205588285576784044762298385391325541888689682), SC_(1.3554499724155634924134183248962114419200302481356) }},{{ SC_(5.3821205588285576784044762298385391325541888689682), SC_(1.3690011015132087699425938733927188719869603184010) }},{{ SC_(5.5071205588285576784044762298385391325541888689682), SC_(1.3822960099853765706075495327819109601506356054327) }},{{ SC_(5.6321205588285576784044762298385391325541888689682), SC_(1.3953446086279755263512146907828727538440007615239) }} 
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 4;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_small_pos()
+{
+   //
+   // Spots near zero and positive http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BPi+*+10%5Ei,+50%5D,+N%5BLambertW%5BPi+*+10%5Ei%5D,+50%5D%5D,+%7Bi,+-25,+-1%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 25> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(3.1415926535897932384626433832795028841971693993751e-25), SC_(3.1415926535897932384626423963190627752613075159265e-25) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-24), SC_(3.1415926535897932384626335136751017948385505649306e-24) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-23), SC_(3.1415926535897932384625446872354919906109810591160e-23) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-22), SC_(3.1415926535897932384616564228393939483352864153693e-22) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-21), SC_(3.1415926535897932384527737788784135255783814177903e-21) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-20), SC_(3.1415926535897932383639473392686092980134754308784e-20) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-19), SC_(3.1415926535897932374756829431705670227788144495920e-19) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-18), SC_(3.1415926535897932285930389821901443118720934199487e-18) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-17), SC_(3.1415926535897931397665993723859213467937614455864e-17) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-16), SC_(3.1415926535897922515022032743441060948982739088029e-16) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-15), SC_(3.1415926535897833688582422939673934647266189937296e-15) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-14), SC_(3.1415926535896945424186324943442560413318839066091e-14) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-13), SC_(3.1415926535888062780225349125117696393347268403158e-13) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-12), SC_(3.1415926535799236340616005340756885831699803736331e-12) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-11), SC_(3.1415926534910971944564007385929431896486546006413e-11) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-10), SC_(3.1415926526028327988188016713407935109104110982749e-10) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-9), SC_(3.1415926437201888838826995251371676507148394412103e-9) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-8), SC_(3.1415925548937538785102994823474670579278874210259e-8) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-7), SC_(3.1415916666298182234172285804275105377159084331529e-7) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-6), SC_(3.1415827840319013043684920305205420694740106954961e-6) }},{{ SC_(0.000031415926535897932384626433832795028841971693993751), SC_(0.000031414939621964641052828244109272729597989570861172) }},{{ SC_(0.00031415926535897932384626433832795028841971693993751), SC_(0.00031406061579842362125003023838529350597159230209458) }},{{ SC_(0.0031415926535897932384626433832795028841971693993751), SC_(0.0031317693004296877733926356188004473035977501714541) }},{{ SC_(0.031415926535897932384626433832795028841971693993751), SC_(0.030473027596269883517196555192955092247613270959259) }},{{ SC_(0.31415926535897932384626433832795028841971693993751), SC_(0.24571751376320572448656753973370462139374436325987) }} 
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_small_neg()
+{
+   //
+   // Spots near zero and negative http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-Pi+*+10%5Ei,+50%5D,+N%5BLambertW%5B-Pi+*+10%5Ei%5D,+50%5D%5D,+%7Bi,+-25,+-1%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 70/2> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(-3.1415926535897932384626433832795028841971693993751e-25), SC_(-3.1415926535897932384626443702399429931330312828247e-25) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-24), SC_(-3.1415926535897932384626532528839039735557882339126e-24) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-23), SC_(-3.1415926535897932384627420793235137777833577489360e-23) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-22), SC_(-3.1415926535897932384636303437196118200590533135692e-22) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-21), SC_(-3.1415926535897932384725129876805922428160503997900e-21) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-20), SC_(-3.1415926535897932385613394272903964703901652508759e-20) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-19), SC_(-3.1415926535897932394496038233884387465457126495672e-19) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-18), SC_(-3.1415926535897932483322477843688615495410754197010e-18) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-17), SC_(-3.1415926535897933371586873941730937234835814431099e-17) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-16), SC_(-3.1415926535897942254230834922158298617964738845526e-16) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-15), SC_(-3.1415926535898031080670444726846311337086192655470e-15) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-14), SC_(-3.1415926535898919345066542815166327311524009447840e-14) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-13), SC_(-3.1415926535907801989027527842355365380542172227242e-13) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-12), SC_(-3.1415926535996628428637792513133580846848848572500e-12) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-11), SC_(-3.1415926536884892824781879109701525247983589696795e-11) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-10), SC_(-3.1415926545767536790366733956272068630669876574730e-10) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-9), SC_(-3.1415926634593976860614172823213018318134944055260e-9) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-8), SC_(-3.1415927522858419002979913741894684038594384671969e-8) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-7), SC_(-3.1415936405506984418084674995072645049396296346958e-7) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-6), SC_(-3.1416025232407040026008819016148803316716797067967e-6) }},{{ SC_(-0.000031415926535897932384626433832795028841971693993751), SC_(-0.000031416913542850054076094590477471913042739704497976) }},{{ SC_(-0.00031415926535897932384626433832795028841971693993751), SC_(-0.00031425800793839694440655801311183879569843264709852) }},{{ SC_(-0.0031415926535897932384626433832795028841971693993751), SC_(-0.0031515090287677856656576839914749012339811781712486) }},{{ SC_(-0.031415926535897932384626433832795028841971693993751), SC_(-0.032452164493239992272463616095775075564894751832128) }},{{ SC_(-0.31415926535897932384626433832795028841971693993751), SC_(-0.53804834513759287053587977755877044660611017981968) }},
+      {{ SC_(-0.090099009900990099009900990099009900990099009900990), SC_(-0.099527797075226962190621767732039397602197803169897)}},{{ SC_(-0.080198019801980198019801980198019801980198019801980), SC_(-0.087534530933383521242151071722737877728489741787814) }},{{ SC_(-0.070297029702970297029702970297029702970297029702970), SC_(-0.075835379000403488962496062196568904002201151736290) }},{{ SC_(-0.060396039603960396039603960396039603960396039603960), SC_(-0.064414449758822413858363348099340678962612835311800) }},{{ SC_(-0.050495049504950495049504950495049504950495049504950), SC_(-0.053257171600878093079366736202964706966166164696873) }},{{ SC_(-0.040594059405940594059405940594059405940594059405941), SC_(-0.042350146588050412657332988380168720859403591863698) }},{{ SC_(-0.030693069306930693069306930693069306930693069306931), SC_(-0.031681024260949098136757222042165581145138786336298) }},{{ SC_(-0.020792079207920792079207920792079207920792079207921), SC_(-0.021238392251213645736199359110665662967213312773617) }},{{ SC_(-0.010891089108910891089108910891089108910891089108911), SC_(-0.011011681049909946810068329378571761407667575030714) }},{{ SC_(-0.00099009900990099009900990099009900990099009900990099), SC_(-0.00099108076440319890968631186785975507712384928918616) }}
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_large(const boost::mpl::true_&)
+{
+   //
+   // Spots near the singularity from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2B2%5E-i,+50%5D,+N%5BLambertW%5B-1%2Fe+%2B+2%5E-i%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 28/2> wolfram_test_large_data =
+   { {
+      {{ SC_(3.1415926535897932384626433832795028841971693993751e350), SC_(800.36444525326526998205084284403447902093784176640) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e400), SC_(915.35945025352715923124904626896745356022974283730) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e450), SC_(1030.3703481552571717312484086444052442055003737018) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e500), SC_(1145.3937726197879355969554296951287620979399652268) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e550), SC_(1260.4273249433458391941776841900870933799293511610) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e600), SC_(1375.4692354682341092954911299903937009237749971748) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e650), SC_(1490.5181612342761763990969379122584268166707632003) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e700), SC_(1605.5730589637597079362569020729894833435943718597) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e750), SC_(1720.6331020467166402802313799793443913873949058922) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e800), SC_(1835.6976244160526737141293452999638879204852786698) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e850), SC_(1950.7660814940759743605616247252782614446819652848) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e900), SC_(2065.8380223354646200773160641407055989098916114637) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e950), SC_(2180.9130693229593212006354812037286740424563145700) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e1000), SC_(2295.9909030845346718801238821248991904602625884450) }}
+   } };
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_large_data.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_large_data[i][0])), T(wolfram_test_large_data[i][1]), tolerance);
+   }
+}
+template <class T>
+void wolfram_test_large(const boost::mpl::false_&){}
+
+template <class T>
+void wolfram_test_large() 
+{
+   wolfram_test_large<T>(boost::mpl::bool_<(std::numeric_limits<T>::max_exponent10 > 1000)>());
+}
+
+
+template <class T>
+void wolfram_test_near_singularity()
+{
+   //
+   // Spots near the singularity from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2B2%5E-i,+50%5D,+N%5BLambertW%5B-1%2Fe+%2B+2%5E-i%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      { { SC_(-0.11787944117144233402427744294982403516769409179688), SC_(-0.13490446826612137099065142885543349308605449591189) } },{ { SC_(-0.24287944117144233402427744294982403516769409179688), SC_(-0.34187241316000575559631565516533717918703951393828) } },{ { SC_(-0.30537944117144233402427744294982403516769409179688), SC_(-0.50704532478540670242736394530166187052909039079642) } },{ { SC_(-0.33662944117144233402427744294982403516769409179688), SC_(-0.63562321628494791544895212508757067989859372121549) } },{ { SC_(-0.35225444117144233402427744294982403516769409179688), SC_(-0.73357201771558852140844624841371893543359405991894) } },{ { SC_(-0.36006694117144233402427744294982403516769409179688), SC_(-0.80685912552602238275976720505076149562188136941981) } },{ { SC_(-0.36397319117144233402427744294982403516769409179688), SC_(-0.86091151614390373770305184939107560322835214525382) } },{ { SC_(-0.36592631617144233402427744294982403516769409179688), SC_(-0.90033567669608907987528169545609510444951296636737) } },{ { SC_(-0.36690287867144233402427744294982403516769409179688), SC_(-0.92884889586304130900291705545970353898661233095513) } },{ { SC_(-0.36739115992144233402427744294982403516769409179688), SC_(-0.94934196763921122756108351994184213101752011076782) } },{ { SC_(-0.36763530054644233402427744294982403516769409179688), SC_(-0.96400324129495105632485735566132352543383271582526) } },{ { SC_(-0.36775737085894233402427744294982403516769409179688), SC_(-0.97445736712728703357755243595334553847237474201138) } },{ { SC_(-0.36781840601519233402427744294982403516769409179688), SC_(-0.98189372378619472154195350108189165241865132390473) } },{ { SC_(-0.36784892359331733402427744294982403516769409179688), SC_(-0.98717434434269671591894280580432721487757138768109) } },{ { SC_(-0.36786418238237983402427744294982403516769409179688), SC_(-0.99091955260257317141206161906086819616043312707614) } },{ { SC_(-0.36787181177691108402427744294982403516769409179688), SC_(-0.99357346775773151586057357459040504547191256911173) } },{ { SC_(-0.36787562647417670902427744294982403516769409179688), SC_(-0.99545290640175819861266174073519228782773422561472) } },{ { SC_(-0.36787753382280952152427744294982403516769409179688), SC_(-0.99678329264937600678258333756796350065436689760936) } },{ { SC_(-0.36787848749712592777427744294982403516769409179688), SC_(-0.99772473035978895659981485126201758865515569761514) } },{ { SC_(-0.36787896433428413089927744294982403516769409179688), SC_(-0.99839078411548014765525278348680286544429555739338) } },{ { SC_(-0.36787920275286323246177744294982403516769409179688), SC_(-0.99886193379608135520603487963907992157933985302350) } },{ { SC_(-0.36787932196215278324302744294982403516769409179688), SC_(-0.99919517626703684624524893082905669989578841060892) } },{ { SC_(-0.36787938156679755863365244294982403516769409179688), SC_(-0.99943085896775657378245957087668418410735469441835) } },{ { SC_(-0.36787941136911994632896494294982403516769409179688), SC_(-0.99959753415605033951327478977234592072050509074480) } },{ { SC_(-0.36787942627028114017662119294982403516769409179688), SC_(-0.99971540249082798050505534900918173321899800190957) } },{ { SC_(-0.36787943372086173710044931794982403516769409179688), SC_(-0.99979875358003464529770521637722571161846456343102) } },{ { SC_(-0.36787943744615203556236338044982403516769409179688), SC_(-0.99985769449598686744630754715710430111838645655608) } },{ { SC_(-0.36787943930879718479332041169982403516769409179688), SC_(-0.99989937341527312969776294577792175610005161268265) } },{ { SC_(-0.36787944024011975940879892732482403516769409179688), SC_(-0.99992884556078314715423832743355922518662235135757) } },{ { SC_(-0.36787944070578104671653818513732403516769409179688), SC_(-0.99994968586433278794146581248117772412549843583586) } },{ { SC_(-0.36787944093861169037040781404357403516769409179688), SC_(-0.99996442235919152892644019456912452486892832990114) } },{ { SC_(-0.36787944105502701219734262849669903516769409179688), SC_(-0.99997484272221444495021480907850566954322542216868) } },{ { SC_(-0.36787944111323467311081003572326153516769409179688), SC_(-0.99998221107553951227244139186618591264285119372063) } },{ { SC_(-0.36787944114233850356754373933654278516769409179688), SC_(-0.99998742131038091608107093454795869661238860012568) } },{ { SC_(-0.36787944115689041879591059114318341016769409179688), SC_(-0.99999110551424805741455916942650424910940130482916) } },{ { SC_(-0.36787944116416637641009401704650372266769409179688), SC_(-0.99999371064603396347995131962984747427523504609782) } },{ { SC_(-0.36787944116780435521718572999816387891769409179688), SC_(-0.99999555275622895023796382943893319302015254415029) } },{ { SC_(-0.36787944116962334462073158647399395704269409179688), SC_(-0.99999685532777825691586263781552103878671869687024) } },{ { SC_(-0.36787944117053283932250451471190899610519409179688), SC_(-0.99999777638786151731498560321162974199505119200634) } }
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (boost::math::tools::epsilon<T>() <= boost::math::tools::epsilon<long double>())
+      tolerance *= 5e5;
+   T endpoint = -boost::math::constants::exp_minus_one<T>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_near_singularity_data[i][0])), T(wolfram_test_near_singularity_data[i][1]), tolerance);
+   }
+}
+
+template <>
+void wolfram_test_near_singularity<float>()
+{
+   //
+   // Spot values near the singularity with inputs truncated to float precision,
+   // from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BROUND%5B-1%2Fe%2B2%5E-i,+2%5E-23%5D,+50%5D,+N%5BLambertW%5BROUND%5B-1%2Fe+%2B+2%5E-i,+2%5E-23%5D%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<float, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      {{ -0.11787939071655273437500000000000000000000000000000f, -0.13490440151978599948261696847702203722148729212591f }},{{ -0.24287939071655273437500000000000000000000000000000f, -0.34187230524883404685074938529655332889057132590877f }},{{ -0.30537939071655273437500000000000000000000000000000f, -0.50704515484245965628066570100405225451296978841169f }},{{ -0.33662939071655273437500000000000000000000000000000f, -0.63562295482810970976475066480034941107064440641758f }},{{ -0.35225439071655273437500000000000000000000000000000f, -0.73357162334066102207977288738307124189083069773180f }},{{ -0.36006689071655273437500000000000000000000000000000f, -0.80685854013946199386910756662972252220827924037205f }},{{ -0.36397314071655273437500000000000000000000000000000f, -0.86091065811941702413570870801021404654934249886505f }},{{ -0.36592626571655273437500000000000000000000000000000f, -0.90033443111682454984393817004965279949925483847744f }},{{ -0.36690282821655273437500000000000000000000000000000f, -0.92884710067602836873486989954484681592392882968841f }},{{ -0.36739110946655273437500000000000000000000000000000f, -0.94933939406123900376318336910404763737960907662666f }},{{ -0.36763525009155273437500000000000000000000000000000f, -0.96399956611859464483214118051190513364901860207328f }},{{ -0.36775732040405273437500000000000000000000000000000f, -0.97445213361280651797731195324654593603807971082292f }},{{ -0.36781835556030273437500000000000000000000000000000f, -0.98188628650256330812037232517657284107351472091741f }},{{ -0.36784887313842773437500000000000000000000000000000f, -0.98716379155663346207408852364078406478772014890806f }},{{ -0.36786413192749023437500000000000000000000000000000f, -0.99090459761086986284393759319956676727684106186028f }},{{ -0.36787176132202148437500000000000000000000000000000f, -0.99355229825129408828026714426677096743753950457546f }},{{ -0.36787557601928710937500000000000000000000000000000f, -0.99542297991285328482403963994064328331346049089419f }},{{ -0.36787748336791992187500000000000000000000000000000f, -0.99674107062291256263133271694520294422529881114769f }},{{ -0.36787843704223632812500000000000000000000000000000f, -0.99766536478294767461296564658785293377699068226332f }},{{ -0.36787891387939453125000000000000000000000000000000f, -0.99830783438342654552199009076049244789994050996944f }},{{ -0.36787915229797363281250000000000000000000000000000f, -0.99874733565614076859582844941545958416543067187493f }},{{ -0.36787927150726318359375000000000000000000000000000f, -0.99903989590053869025356285499889881633845057984872f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }} 
+   }};
+   float tolerance = boost::math::tools::epsilon<float>() * 16;
+   float endpoint = -boost::math::constants::exp_minus_one<float>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(wolfram_test_near_singularity_data[i][0]), wolfram_test_near_singularity_data[i][1], tolerance);
+   }
+}
+
+template <>
+void wolfram_test_near_singularity<double>()
+{
+   //
+   // Spot values near the singularity with inputs truncated to double precision,
+   // from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BROUND%5B-1%2Fe%2B2%5E-i,+2%5E-23%5D,+50%5D,+N%5BLambertW%5BROUND%5B-1%2Fe+%2B+2%5E-i,+2%5E-23%5D%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<double, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      {{ -0.11787944117144233402427744294982403516769409179688, -0.13490446826612137099065142885543349308605449591189 }},{{ -0.24287944117144233402427744294982403516769409179688, -0.34187241316000575559631565516533717918703951393828 }},{{ -0.30537944117144233402427744294982403516769409179688, -0.50704532478540670242736394530166187052909039079642 }},{{ -0.33662944117144233402427744294982403516769409179688, -0.63562321628494791544895212508757067989859372121549 }},{{ -0.35225444117144233402427744294982403516769409179688, -0.73357201771558852140844624841371893543359405991894 }},{{ -0.36006694117144233402427744294982403516769409179688, -0.80685912552602238275976720505076149562188136941981 }},{{ -0.36397319117144233402427744294982403516769409179688, -0.86091151614390373770305184939107560322835214525382 }},{{ -0.36592631617144233402427744294982403516769409179688, -0.90033567669608907987528169545609510444951296636737 }},{{ -0.36690287867144233402427744294982403516769409179688, -0.92884889586304130900291705545970353898661233095513 }},{{ -0.36739115992144233402427744294982403516769409179688, -0.94934196763921122756108351994184213101752011076782 }},{{ -0.36763530054644233402427744294982403516769409179688, -0.96400324129495105632485735566132352543383271582526 }},{{ -0.36775737085894233402427744294982403516769409179688, -0.97445736712728703357755243595334553847237474201138 }},{{ -0.36781840601519233402427744294982403516769409179688, -0.98189372378619472154195350108189165241865132390473 }},{{ -0.36784892359331733402427744294982403516769409179688, -0.98717434434269671591894280580432721487757138768109 }},{{ -0.36786418238237983402427744294982403516769409179688, -0.99091955260257317141206161906086819616043312707614 }},{{ -0.36787181177691108402427744294982403516769409179688, -0.99357346775773151586057357459040504547191256911173 }},{{ -0.36787562647417670902427744294982403516769409179688, -0.99545290640175819861266174073519228782773422561472 }},{{ -0.36787753382280952152427744294982403516769409179688, -0.99678329264937600678258333756796350065436689760936 }},{{ -0.36787848749712592777427744294982403516769409179688, -0.99772473035978895659981485126201758865515569761514 }},{{ -0.36787896433428413089927744294982403516769409179688, -0.99839078411548014765525278348680286544429555739338 }},{{ -0.36787920275286323246177744294982403516769409179688, -0.99886193379608135520603487963907992157933985302350 }},{{ -0.36787932196215278324302744294982403516769409179688, -0.99919517626703684624524893082905669989578841060892 }},{{ -0.36787938156679755863365244294982403516769409179688, -0.99943085896775657378245957087668418410735469441835 }},{{ -0.36787941136911994632896494294982403516769409179688, -0.99959753415605033951327478977234592072050509074480 }},{{ -0.36787942627028114017662119294982403516769409179688, -0.99971540249082798050505534900918173321899800190957 }},{{ -0.36787943372086173710044931794982403516769409179688, -0.99979875358003464529770521637722571161846456343102 }},{{ -0.36787943744615203556236338044982403516769409179688, -0.99985769449598686744630754715710430111838645655608 }},{{ -0.36787943930879718479332041169982403516769409179688, -0.99989937341527312969776294577792175610005161268265 }},{{ -0.36787944024011975940879892732482403516769409179688, -0.99992884556078314715423832743355922518662235135757 }},{{ -0.36787944070578104671653818513732403516769409179688, -0.99994968586433278794146581248117772412549843583586 }},{{ -0.36787944093861169037040781404357403516769409179688, -0.99996442235919152892644019456912452486892832990114 }},{{ -0.36787944105502701219734262849669903516769409179688, -0.99997484272221444495021480907850566954322542216868 }},{{ -0.36787944111323467311081003572326153516769409179688, -0.99998221107553951227244139186618591264285119372063 }},{{ -0.36787944114233850356754373933654278516769409179688, -0.99998742131038091608107093454795869661238860012568 }},{{ -0.36787944115689041879591059114318341016769409179688, -0.99999110551424805741455916942650424910940130482916 }},{{ -0.36787944116416637641009401704650372266769409179688, -0.99999371064603396347995131962984747427523504609782 }},{{ -0.36787944116780435521718572999816387891769409179688, -0.99999555275622895023796382943893319302015254415029 }},{{ -0.36787944116962334462073158647399395704269409179688, -0.99999685532777825691586263781552103878671869687024 }},{{ -0.36787944117053283932250451471190899610519409179688, -0.99999777638786151731498560321162974199505119200634 }} 
+   }};
+   double tolerance = boost::math::tools::epsilon<double>() * 5;
+   if (std::numeric_limits<double>::digits >= std::numeric_limits<long double>::digits)
+      tolerance *= 1e5;
+   else if (std::numeric_limits<double>::digits * 2 >= std::numeric_limits<long double>::digits)
+      tolerance *= 5e4;
+   double endpoint = -boost::math::constants::exp_minus_one<double>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(wolfram_test_near_singularity_data[i][0]), wolfram_test_near_singularity_data[i][1], tolerance);
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // (Unused Parameter value, arbitrarily zero, only communicates the floating point type).
+  // test_spots(0.F); test_spots(0.); test_spots(0.L);
+
+  using boost::math::lambert_w0;
+  using boost::math::lambert_wm1;
+  using boost::math::constants::exp_minus_one;
+  using boost::math::constants::e;
+  using boost::math::policies::policy;
+
+  /*  Example of an exception-free 'ignore_all' policy (possibly ill-advised?).
+  */
+  typedef policy <
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+  > ignore_all_policy;
+
+//  Test some bad parameters to the function, with default policy and also with ignore_all policy.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_THROW(lambert_w0<RealType>(-1.), std::domain_error);
+  BOOST_CHECK_THROW(lambert_wm1<RealType>(-1.), std::domain_error);
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+     BOOST_CHECK_THROW(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // Would be NaN.
+     //BOOST_CHECK_EQUAL(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy()), std::numeric_limits<RealType>::quiet_NaN()); // Should be NaN.
+     // Fails as NaN != NaN by definition.
+     BOOST_CHECK(boost::math::isnan(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy())));
+     //BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+  }
+
+  // BOOST_CHECK_THROW(lambert_w0<RealType>(std::numeric_limits<RealType>::infinity()), std::domain_error); // Was if infinity should throw, now infinity.
+  BOOST_CHECK_THROW(lambert_w0<RealType>(-static_cast<RealType>(0.4)), std::domain_error); // Would be complex.
+
+#else // No exceptions, so set policy to ignore and check result is NaN.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy()), std::numeric_limits<RealType::quiet_NaN()); // NaN.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+#endif
+
+  std::cout << "\nTesting type " << typeid(RealType).name() << std::endl;
+  int epsilons = 2;
+  if (std::numeric_limits<RealType>::digits > 53)
+  { // Multiprecision types.
+    epsilons *= 8; // (Perhaps needed because need slightly longer (55) reference values?).
+  }
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+  std::cout << "Tolerance " << epsilons << " * epsilon == " << tolerance << std::endl;
+#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::cout << "Precision " << std::numeric_limits<RealType>::digits10 << " decimal digits, max_digits10 = " << std::numeric_limits <RealType>::max_digits10<< std::endl;
+  // std::cout.precision(std::numeric_limits<RealType>::digits10);
+  std::cout.precision(std::numeric_limits <RealType>::max_digits10);
+#endif
+  std::cout.setf(std::ios_base::showpoint);  // show trailing significant zeros.
+  std::cout << "-exp(-1) = " << -exp_minus_one<RealType>() << std::endl;
+
+  wolfram_test_near_singularity<RealType>();
+  wolfram_test_large<RealType>();
+  wolfram_test_small_neg<RealType>();
+  wolfram_test_small_pos<RealType>();
+  wolfram_test_moderate_values<RealType>();
+
+  // Test at singularity.
+  // RealType test_value = BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527);
+  RealType singular_value = -exp_minus_one<RealType>();
+  // -exp(-1) = -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527
+  // lambert_w0[-0.367879441171442321595523770161460867445811131031767834] == -1
+  //           -0.36787945032119751
+  RealType minus_one_value = BOOST_MATH_TEST_VALUE(RealType, -1.);
+  //std::cout << "singular_value " << singular_value << ", expected Lambert W = " << minus_one_value << std::endl;
+
+  BOOST_CHECK_CLOSE_FRACTION( // Check -exp(-1) = -0.367879450 = -1max
+    lambert_w0(singular_value),
+    minus_one_value,
+    tolerance);  // OK
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0<RealType>(-exp_minus_one<RealType>()),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+  // Tests with some spot values computed using
+  // https://www.wolframalpha.com/input
+  // For example: N[lambert_w[1], 50] outputs:
+  // 0.56714329040978387299996866221035554975381578718651
+
+  // At branch junction singularity.
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.091276527160862264299895721423179568653119224051472),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.2)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.16891597349910956511647490370581839872844691351073),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.2)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.5)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.351733711249195826024909300929951065171464215517111804046),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.56714329040978387299996866221035554975381578718651),
+   // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1)
+   tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.852605502013725491346472414695317466898453300151403508772),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(2.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.049908894964039959988697070552897904589466943706341452932),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(3.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.326724665242200223635099297758079660128793554638047479789),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.432404775898300311234078007212058694786434608804302025655),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(6)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 100.)),
+    BOOST_MATH_TEST_VALUE(RealType, 3.3856301402900501848882443645297268674916941701578),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(100)
+    tolerance);
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_THROW(lambert_w0(std::numeric_limits<RealType>::infinity()), std::overflow_error); // If should throw exception for infinity.
+    //BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::infinity()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in "test_types": class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::overflow_error> > :
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>) : Argument z is infinite!
+    //BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::infinity()), +std::numeric_limits<RealType>::infinity()); // If infinity allowed.
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::infinity()), std::domain_error); // Infinity NOT allowed at all (not an edge case).
+  }
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // Argument Z == NaN is always an throwable error for both branches.
+    // BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z is NaN!
+    BOOST_CHECK_THROW(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+
+  // denorm - but might be == min or zero?
+  if (std::numeric_limits<RealType>::has_denorm == true)
+  { // Might also return infinity like z == 0?
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::denorm_min()), std::overflow_error);
+  }
+
+    // Tests of Lambert W-1 branch.
+    BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1 at the singularity branch point.
+    lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+    // Near singularity and using series approximation.
+    // N[productlog(-1, -0.36), 50] = -1.2227701339785059531429380734238623131735264411311
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.36)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.2227701339785059531429380734238623131735264411311),
+    10 *   tolerance); // tolerance OK for quad
+    // -1.2227701339785059531429380734238623131735264411311
+    // -1.222770133978505953142938073423862313173526441131033
+
+    // Just using series approximation (switch at -0.35).
+    // N[productlog(-0.351), 50] = -0.72398644140937651483634596143951001600417138085814
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+      BOOST_MATH_TEST_VALUE(RealType, -0.72398644140937651483634596143951001600417138085814),
+      // 2 * tolerance); // Note 2 * tolerance for PB fukushima
+    // got -0.723986441409376931150560229265736446 without Halley
+    // exp -0.72398644140937651483634596143951001
+    // got -0.72398644140937651483634596143951029 with Halley
+     10 * tolerance); // expect -0.72398644140937651 float -0.723987103 needs 10 * tolerance
+     // 2 * tolerance is fine for double and up.
+    // Float is OK
+
+    // Same for W-1 branch
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.3385736984773431852492145715526995809854973408320),
+      10 * tolerance); // 2 tolerance OK for quad
+
+    // Near singularity and NOT using series approximation (switch at -0.35)
+    // N[productlog(-1, -0.34), 50]
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.34)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.4512014851325470735077533710339268100722032730024),
+     10 * tolerance); // tolerance OK for quad
+    //
+
+    // Decreasing z until near zero (small z) .
+    //N[productlog(-1, -0.3), 50] = -1.7813370234216276119741702815127452608215583564545
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.3)),
+     BOOST_MATH_TEST_VALUE(RealType, -1.7813370234216276119741702815127452608215583564545),
+    2 * tolerance);
+    //                               -1.78133702342162761197417028151274526082155835645446
+
+    //N[productlog(-1, -0.2), 50] = -2.5426413577735264242938061566618482901614749075294
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, -2.5426413577735264242938061566618482901614749075294),
+   2 * tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, -3.577152063957297218409391963511994880401796257793),
+    tolerance);
+
+     //N[productlog(-1, -0.01), 50] = -6.4727751243940046947410578927244880371043455902257
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, -6.4727751243940046947410578927244880371043455902257),
+    tolerance);
+
+  //  N[productlog(-1, -0.001), 50] = -9.1180064704027401212583371820468142742704349737639
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.001)),
+    BOOST_MATH_TEST_VALUE(RealType, -9.1180064704027401212583371820468142742704349737639),
+    tolerance);
+
+  //  N[productlog(-1, -0.000001), 50] = -16.626508901372473387706432163984684996461726803805
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.000001)),
+    BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-12)),
+    BOOST_MATH_TEST_VALUE(RealType, -31.067172842017230842039496250208586707880448763222),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-25)),
+    BOOST_MATH_TEST_VALUE(RealType, -61.686695602074505366866968627049381352503620377944),
+    tolerance);
+
+  // z nearly too small.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.322302839923597803393585145387854867226970485197),
+    tolerance* 2);
+
+  // z very nearly too small.  G(k=64) g[63] = -1.0264389699511303e-26 to using 1.027e-26
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.027e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.999444896732265186957073549916026532499356695343),
+    tolerance);
+  // So -64 is the most negative value that can be determined using lookup.
+  // N[productlog(-1, -1.0264389699511303 * 10^-26 ), 50] -63.999999999999997947255011093606206983577811736472 == -64
+  // G[k=64] = g[63] = -1.0264389699511303e-26
+
+  // z too small for G(k=64) g[63] = -1.0264389699511303e-26 to using 1.027e-26
+  //  N[productlog(-1, -10 ^ -26), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+    tolerance); //                  -64.0265121
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(lambert_wm1(0), -std::numeric_limits<RealType>::infinity());
+  }
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z is NaN!
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+
+   // W0 Tests for too big and too small to use lookup table.
+   // Exactly W = 64, not enough to be OK for lookup.
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.9904954117194348050619127737142206366920907815909119e+29)),
+    BOOST_MATH_TEST_VALUE(RealType, 64.0),
+    tolerance);
+
+    // Just below z for F[64]
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.99045411719434e+29)),
+     BOOST_MATH_TEST_VALUE(RealType, 63.999989810930513468726486827408823607175844852495), tolerance);
+    // Fails for quad_float -1.22277013397850595265
+    //                      -1.22277013397850595319
+
+  // Just too big, so using log approx and Halley refinement.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 4e+29)),
+    BOOST_MATH_TEST_VALUE(RealType, 64.002342375637950350970694519073803643686041499677),
+    tolerance);
+
+  // Check at reduced precision.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 4e+29), policy<digits2<11> >()),
+    BOOST_MATH_TEST_VALUE(RealType, 64.002342375637950350970694519073803643686041499677),
+    0.00002);  // 0.00001 fails.
+
+  // Tests to ensure that all JM rational polynomials are being checked.
+
+  // 1st polynomal if (z < 0.5)   // 0.05 < z < 0.5
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.49)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.3465058086974944293540338951489158955895910665452626949),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.051)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.04858156174600359264950777241723801201748517590507517888),
+    tolerance);
+
+  // 2st polynomal if 0.5 < z < 2
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.51)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.3569144916935871518694242462560450385494399307379277704),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.8291763302658400337004358009672187071638421282477162293),
+    tolerance);
+
+  // 3rd polynomials 2 < z < 6
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.8752187586805470099843211502166029752154384079916131962),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.422521411785098213935338853943459424120416844150520831),
+    tolerance);
+
+  // 4th polynomials 6 < z < 18
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.442152194116056579987235881273412088690824214100254315),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 17.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 2.129100923757568114366514708174691237123820852409339147),
+    tolerance);
+
+  // 5th polynomials if (z < 9897.12905874)  // 2.8 < log(z) < 9.2
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 18.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 2.136665501382339778305178680563584563343639180897328666),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 9897.)),
+    BOOST_MATH_TEST_VALUE(RealType, 7.222751047988674263127929506116648714752441161828893633),
+    tolerance);
+
+  // 6th polynomials if (z < 7.896296e+13)  // 9.2 < log(z) <= 32
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 9999.)),
+    BOOST_MATH_TEST_VALUE(RealType, 7.231758181708737258902175236106030961433080976032516996),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 7.7e+13)),
+    BOOST_MATH_TEST_VALUE(RealType, 28.62069643025822480911439831021393125282095606713326376),
+    tolerance);
+
+  // 7th polynomial // 32 < log(z) < 100
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 8.0e+18)),
+    BOOST_MATH_TEST_VALUE(RealType, 39.84107480517853176296156400093560722439428484537515586),
+    tolerance);
+
+  // Largest 32-bit float. (Larger values for other types tested using max())
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.e38)),
+    BOOST_MATH_TEST_VALUE(RealType, 83.07844821316409592720410446942538465411465113447713574),
+    tolerance);
+
+  // Using z small series function if z < 0.05  if (z < -0.051)  -0.27 < z < -0.051
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.28)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.4307588745271127579165306568413721388196459822705155385),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.25)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.3574029561813889030688111040559047533165905550760120436),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, +0.25)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.2038883547022401644431818313271398701493524772101596350),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.051)), // just above 0.05 cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, -0.05382002772543396036830469500362485089791914689728115249),
+    tolerance * 4);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.05)), // at cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, -0.05270598355154634795995650617915721289427674396592395160),
+    tolerance * 8);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.049)), // Just below cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, 0.04676143671340832342497289393737051868103596756298863555),
+    tolerance * 4);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.009901473843595011885336326816570107953627746494917415483),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.01010152719853875327292018767138623973670903993475235877),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.049)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.05159448479219405354564920228913331280713177046648170658),
+    tolerance * 8);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.999990000014999973333385416558666900096702096424344715e-7),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -1e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.000001000001500002666671875010800023343107568372593753e-6),
+    tolerance);
+
+  // Near Smallest float.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1e-38)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.99999999999999999999999999999999999990000000000000000e-39),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -1e-38)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.000000000000000000000000000000000000010000000000000000e-38),
+    tolerance);
+
+  // Similar 'too near zero' tests for W-1 branch.
+  // lambert_wm1(-1.0264389699511283e-26) = -64.000000000000000
+  // Exactly z for W=-64
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.026438969951128225904695701851094643838952857740385870e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.000000000000000000000000000000000000),
+   2 * tolerance);
+
+  // Just more negative than G[64 max] = wm1zs[63] so can't use lookup table.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.5e-27)),
+    BOOST_MATH_TEST_VALUE(RealType, -65.953279000145077719128800110134854577850889171784),
+    tolerance); //                  -65.9532776
+
+  // Just less negative than G[64 max] = wm1zs[63] so can use lookup table.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.929686062157630858625440758283127600360210072859),
+    tolerance);
+
+   // N[productlog(-1, -10 ^ -26), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+    tolerance);
+
+  // 1e-28 is too small
+  //  N[productlog(-1, -10 ^ -28), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-28)),
+    BOOST_MATH_TEST_VALUE(RealType, -68.702163291525429160769761667024460023336801014578),
+    tolerance);
+
+  // Check for overflow when using a double (including when using for approximate value for refinement for higher precision).
+
+  // N[productlog(-1, -10 ^ -30), 50]    = -73.373110313822976797067478758120874529181611813766
+  //BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e30)),
+  //  BOOST_MATH_TEST_VALUE(RealType, -73.373110313822976797067478758120874529181611813766),
+  //  tolerance);
+  //unknown location : fatal error : in "test_types" :
+  //class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >
+  //  : Error in function boost::math::lambert_wm1<RealType>(<RealType>) :
+  //  Argument z = -1.00000002e+30 out of range(z < -exp(-1) = -3.6787944) for Lambert W - 1 branch!
+
+  BOOST_CHECK_THROW(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e30)), std::domain_error);
+
+  // Too negative
+  BOOST_CHECK_THROW(lambert_wm1(RealType(-0.5)), std::domain_error);
+
+  // This fails for fixed_point type used for other tests because out of range?
+    //BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e6)),
+    //BOOST_MATH_TEST_VALUE(RealType, 11.383358086140052622000156781585004289033774706019),
+    //// Output from https://www.wolframalpha.com/input/?i=lambert_w0(1e6)
+    //// tolerance * 1000); // fails for fixed_point type exceeds 0.00015258789063
+    //  // 15.258789063
+    //  // 11.383346558
+    // tolerance * 100000);
+  // So need to use some spot tests for specific types, or use a bigger fixed_point type.
+
+  // Check zero.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.0)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.0),
+    tolerance);
+  // these fail for cpp_dec_float_50
+  // 'boost::multiprecision::detail::expression<boost::multiprecision::detail::negate,boost::multiprecision::number<boost::multiprecision::backends::cpp_dec_float<50,int32_t,void>,boost::multiprecision::et_on>,void,void,void>'
+  // : no appropriate default constructor available
+  // TODO ???????????
+
+ } // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_types )
+{
+  BOOST_MATH_CONTROL_FP;
+  // BOOST_TEST_MESSAGE output only appears if command line has --log_level="message"
+  // or call set_threshold_level function:
+  boost::unit_test_framework::unit_test_log.set_threshold_level(boost::unit_test_framework::log_messages);
+  BOOST_TEST_MESSAGE("\nTest Lambert W function for several types.");
+  BOOST_TEST_MESSAGE(show_versions());  // Full version of Boost, STL and compiler info.
+#ifndef BOOST_MATH_TEST_MULTIPRECISION
+  // Fundamental built-in types:
+  test_spots(0.0F); // float
+  test_spots(0.0); // double
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  if (sizeof(long double) > sizeof(double))
+  { // Avoid pointless re-testing if double and long double are identical (for example, MSVC).
+    test_spots(0.0L); // long double
+  }
+  test_spots(boost::math::concepts::real_concept(0));
+#endif
+
+  #else // BOOST_MATH_TEST_MULTIPRECISION
+  // Multiprecision types:
+#if BOOST_MATH_TEST_MULTIPRECISION == 1
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_double_extended>(0));
+#endif
+#if BOOST_MATH_TEST_MULTIPRECISION == 2
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_quad>(0));
+#endif
+#if BOOST_MATH_TEST_MULTIPRECISION == 3
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_50>(0));
+#endif
+#endif // ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+  #ifdef BOOST_MATH_TEST_FLOAT128
+   std::cout << "\nBOOST_MATH_TEST_FLOAT128 defined for float128 tests." << std::endl;
+
+#ifdef BOOST_HAS_FLOAT128
+  //  GCC and Intel only.
+  // Requires link to libquadmath library, see
+  // http://www.boost.org/doc/libs/release/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/float128.html
+  // for example:
+  // C:\Program Files\mingw-w64\x86_64-7.2.0-win32-seh-rt_v5-rev1\mingw64\lib\gcc\x86_64-w64-mingw32\7.2.0\libquadmath.a
+
+  using boost::multiprecision::float128;
+  std::cout << "BOOST_HAS_FLOAT128" << std::endl;
+
+  std::cout.precision(std::numeric_limits<float128>::max_digits10);
+
+  test_spots(static_cast<float128>(0));
+#endif // BOOST_HAS_FLOAT128
+#else
+  std::cout << "\nBOOST_MATH_TEST_FLOAT128 NOT defined so NO float128 tests." << std::endl;
+#endif // #ifdef BOOST_MATH_TEST_FLOAT128
+
+} // BOOST_AUTO_TEST_CASE( test_types )
+
+
+BOOST_AUTO_TEST_CASE( test_range_of_double_values )
+{
+  using boost::math::constants::exp_minus_one;
+  using boost::math::lambert_w0;
+
+  BOOST_TEST_MESSAGE("\nTest Lambert W function type double for range of values.");
+
+  // Want to test almost largest value.
+  // test_value = (std::numeric_limits<RealType>::max)() / 4;
+  // std::cout << std::setprecision(std::numeric_limits<RealType>::max_digits10) << "Max value = " << test_value << std::endl;
+  // Can't use a test like this for all types because max_value depends on RealType
+  // and thus the expected result of lambert_w0 does too.
+  //BOOST_CHECK_CLOSE_FRACTION(lambert_w0<RealType>(test_value),
+  //  BOOST_MATH_TEST_VALUE(RealType, ???),
+  //  tolerance);
+  // So this section just tests a single type, say IEEE 64-bit double, for a range of spot values.
+
+  typedef double RealType; // Some tests assume type is double.
+
+  int epsilons = 1;
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+  std::cout << "Tolerance " << epsilons << " * epsilon == " << tolerance << std::endl;
+
+#ifndef BOOST_MATH_TEST_MULTIPRECISION
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.9999900000149999733333854165586669000967020964243e-7),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1e-6],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.0001)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.000099990001499733385405869000452213835767629477903460),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.001],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.001)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.00099900149733853088995782787410778559957065467928884),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.001],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.0099014738435950118853363268165701079536277464949174),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.01],50])
+    tolerance * 25);  // <<< Needs a much bigger tolerance???
+  // 0.0099014738435951096 this test max_digits10
+  // 0.00990147384359511  digits10
+  // 0.0099014738435950118  wolfram
+  // 0.00990147384359501  wolfram  digits10
+  // 0.0099014738435950119 N[lambert_w[0.01],17]
+  // 0.00990147384359501   N[lambert_w[0.01],15] which really is more different than expected.
+  // 0.00990728209160670  approx
+  // 0.00990147384359511  previous
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.05)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.047672308600129374726388900514160870747062965933891),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.01],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.091276527160862264299895721423179568653119224051472),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.56714329040978387299996866221035554975381578718651),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.852605502013725491346472414695317466898453300151403508772),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(2.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.049908894964039959988697070552897904589466943706341452932),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(3.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.326724665242200223635099297758079660128793554638047479789),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.432404775898300311234078007212058694786434608804302025655),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(6)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 10.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.7455280027406993830743012648753899115352881290809),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[10],50])
+    tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 100.)),
+    BOOST_MATH_TEST_VALUE(RealType, 3.3856301402900501848882443645297268674916941701578),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(100)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1000.)),
+    BOOST_MATH_TEST_VALUE(RealType, 5.2496028524015962271260563196973062825214723860596),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1000)
+    tolerance);
+
+  // This fails for fixed_point type used for other tests because out of range of the type?
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e6)),
+    BOOST_MATH_TEST_VALUE(RealType, 11.383358086140052622000156781585004289033774706019),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1e6)
+    tolerance); //
+
+  // Tests for double only near the max and the singularity where Lambert_w estimates are less precise.
+  if (std::numeric_limits<RealType>::is_specialized)
+  { // is_specialized means that can use numeric_limits for tests.
+    // Check near std::numeric_limits<>::max() for type.
+    //std::cout << std::setprecision(std::numeric_limits<RealType>::max_digits10)
+    //  << (std::numeric_limits<double>::max)()          // == 1.7976931348623157e+308
+    //  << " " << (std::numeric_limits<double>::max)()/4 // == 4.4942328371557893e+307
+    //  << std::endl;
+
+    // All these result in faulty error message
+    // unknown location : fatal error : in "test_range_of_values": class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >: Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z = %1 too large.
+    // I:\modular - boost\libs\math\test\test_lambert_w.cpp(456) : last checkpoint
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 ), // max_value for IEEE 64-bit double.
+      static_cast<double>(703.2270331047701868711791887193075929608934699575820028L),
+      // N[productlog[0, 1.7976931348623157*10^308 /2],50] == 702.53487067487671916110655783739076368512998658347
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 / 2), // max_value/2 for IEEE 64-bit double.
+      static_cast<double>(702.53487067487671916110655783739076368512998658347L),
+      // N[productlog[0, 1.7976931348623157*10^308 /2],50] == 702.53487067487671916110655783739076368512998658347
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 /4), // near max_value/4 for IEEE 64-bit double.
+      static_cast<double>(701.8427092142920014223182853764045476L),
+      // N[productlog(0, 1.7976931348623157* 10^308 /4 ), 37] =701.8427092142920014223182853764045476
+      // N[productlog(0, 0.25 * 1.7976931348623157*10^307), 37]
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(4.4942328371557893e+307), // max_value/4 for IEEE 64-bit double.
+      static_cast<double>(701.84270921429200143342782556643059L),
+      // N[lambert_w[4.4942328371557893e+307], 35]  == 701.8427092142920014334278255664305887
+      // as a double == 701.83341468208209
+      // Lambert computed 702.02379914670587
+      0.000003); // OK Much less precise at the max edge???
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0((std::numeric_limits<double>::max)()), // max_value for IEEE 64-bit double.
+      static_cast<double>(703.2270331047701868711791887193075930),
+      // N[productlog(0, 1.7976931348623157* 10^308), 37] = 703.2270331047701868711791887193075930
+      //                                                    703.22700325995515 lambert W
+      //                                                    703.22703310477016  Wolfram
+      tolerance * 2e8); // OK but much less accurate near max.
+
+  // Compare precisions very close to the singularity.
+    // This test value is one epsilon close to the singularity at -exp(-1) * z
+    // (below which the result has a non-zero imaginary part).
+    RealType test_value = -exp_minus_one<RealType>();
+    test_value += (std::numeric_limits<RealType>::epsilon() * 1);
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(test_value),
+      BOOST_MATH_TEST_VALUE(RealType, -0.99999996349975895),
+      tolerance * 1000000000);
+    // -0.99999996788201051
+    // -0.99999996349975895
+    // Would not expect to get a result closer than sqrt(epsilon)?
+  } //  if (std::numeric_limits<RealType>::is_specialized)
+
+  // Can only compare float_next for specific type T = double.
+  // Comparison with Wolfram N[productlog(0,-0.36787944117144228 ), 17]
+  // Note big loss of precision and big tolerance needed to pass.
+  BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    lambert_w0(BOOST_MATH_TEST_VALUE(double, -0.36787944117144228)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999998496215738),
+    1e8 * tolerance); // diff 6.03558e-09 v 2.2204460492503131e-16
+
+   BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    lambert_w0(BOOST_MATH_TEST_VALUE(double, -0.36787944117144222)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999997649828679),
+    5e7 * tolerance);// diff 2.30785e-09 v 2.2204460492503131e-16
+
+  // Compare with previous PB/FK computations at double precision.
+  BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144228)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999997892657588),
+    tolerance); // diff 6.03558e-09 v 2.2204460492503131e-16
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144222)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999997419043196),
+    tolerance);// diff 2.30785e-09 v 2.2204460492503131e-16
+
+               // z increasingly close to singularity.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.8060843159708177782855213616209920019974599683466713016),
+     2 * tolerance); // -0.806084335
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.365)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.8798200914159538111724840007674053239388642469453350954),
+     5 * tolerance); // Note 5 * tolerance
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.3678)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.9793607149578284774761844434886481686055949229547379368),
+     15 * tolerance); // Note 15 * tolerance when this close to singularity.
+
+                      // Just using series approximation (Fukushima switch at -0.35, but JM at 0.01 of singularity < -0.3679).
+                      // N[productlog(-0.351), 50] = -0.72398644140937651483634596143951001600417138085814
+                      // N[productlog(-0.351), 55] = -0.7239864414093765148363459614395100160041713808581379727
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.72398644140937651483634596143951001600417138085814),
+     10 * tolerance); // Note was 2 * tolerance
+
+                      // Check value just not using near_singularity series approximation (and using rational polynomial instead).
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.3)),
+     BOOST_MATH_TEST_VALUE(RealType, -1.7813370234216276119741702815127452608215583564545),
+     // Output from https://www.wolframalpha.com/input/
+     //N[productlog(-1, -0.3), 50] = -1.7813370234216276119741702815127452608215583564545
+     tolerance);
+
+  // Using table lookup and schroeder with decreasing z to zero.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+     BOOST_MATH_TEST_VALUE(RealType, -2.5426413577735264242938061566618482901614749075294),
+     // N[productlog[-1, -0.2],50] -2.5426413577735264242938061566618482901614749075294
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+     BOOST_MATH_TEST_VALUE(RealType, -3.5771520639572972184093919635119948804017962577931),
+     //N[productlog(-1, -0.1), 50] = -3.5771520639572972184093919635119948804017962577931
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.001)),
+     BOOST_MATH_TEST_VALUE(RealType, -9.1180064704027401212583371820468142742704349737639),
+     //  N[productlog(-1, -0.001), 50] = -9.1180064704027401212583371820468142742704349737639
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.000001)),
+     BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+     //  N[productlog(-1, -0.000001), 50] = -16.626508901372473387706432163984684996461726803805
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-6)),
+     BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+     //  N[productlog(-1, -10 ^ -6), 50] = -16.626508901372473387706432163984684996461726803805
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.0e-26)),
+     BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+     // Output from https://www.wolframalpha.com/input/
+     // N[productlog(-1, -1 * 10^-26 ), 50] = -64.026509628385889681156090340691637712441162092868
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2e-26)),
+     BOOST_MATH_TEST_VALUE(RealType, -63.322302839923597803393585145387854867226970485197),
+     // N[productlog[-1, -2*10^-26],50] = -63.322302839923597803393585145387854867226970485197
+     tolerance * 2);
+
+  // Smaller than lookup table, so must use approx and Halley refinements.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-30)),
+     BOOST_MATH_TEST_VALUE(RealType, -73.373110313822976797067478758120874529181611813766),
+     //  N[productlog(-1, -10 ^ -30), 50]    = -73.373110313822976797067478758120874529181611813766
+     tolerance);
+
+  // std::numeric_limits<RealType>::min
+#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::cout.precision(std::numeric_limits<RealType>::max_digits10);
+#endif
+  std::cout << "(std::numeric_limits<RealType>::min)() " << (std::numeric_limits<RealType>::min)() << std::endl;
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2.2250738585072014e-308)),
+     BOOST_MATH_TEST_VALUE(RealType, -714.96865723796647086868547560654825435542227693935),
+     // N[productlog[-1, -2.2250738585072014e-308],50] =  -714.96865723796647086868547560654825435542227693935
+     tolerance);
+
+  // For z = 0, W = -infinity
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     BOOST_CHECK_EQUAL(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, 0.)),
+        -std::numeric_limits<RealType>::infinity());
+  }
+
+#elif BOOST_MATH_TEST_MULTIPRECISION == 2
+  
+  // Comparison with Wolfram N[productlog(0,-0.36787944117144228 ), 17]
+  // Using conversion from double to higher precision cpp_bin_float_quad
+  using boost::multiprecision::cpp_bin_float_quad;
+  BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    lambert_w0(BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.36787944117144228)),
+    BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.99999998496215738),
+    tolerance); // OK
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    lambert_w0(BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.36787944117144222)),
+    BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.99999997649828679),
+    tolerance);// OK
+#endif
+} // BOOST_AUTO_TEST_CASE(test_range_of_double_values)
+
diff --git a/src/boost/libs/math/test/test_lambert_w_derivative.cpp b/src/boost/libs/math/test/test_lambert_w_derivative.cpp
new file mode 100644
index 00000000..25f72092
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_derivative.cpp
@@ -0,0 +1,124 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w.cpp
+//! \brief Basic sanity tests for Lambert W derivative.
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+// Needs gnu++17 for BOOST_HAS_FLOAT128
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50;
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+
+#ifdef BOOST_HAS_FLOAT128
+// Including this header below without float128 triggers:
+// fatal error C1189: #error:  "Sorry compiler is neither GCC, not Intel, don't know how to configure this header."
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif // ifdef BOOST_HAS_FLOAT128
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+
+#endif //   #ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+//#include <boost/fixed_point/fixed_point.hpp> // If available.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept tests.
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <exception>
+
+std::string show_versions(void);
+
+BOOST_AUTO_TEST_CASE( Derivatives_of_lambert_w )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W_DERIVATIVES to test 1st derivatives is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W function 1st differentials.");
+
+  using boost::math::constants::exp_minus_one;
+  using boost::math::lambert_w0_prime;
+  using boost::math::lambert_wm1_prime;
+
+  // Derivatives
+  // https://www.wolframalpha.com/input/?i=derivative+of+productlog(0,+x)
+  //  d/dx(W_0(x)) = W(x)/(x W(x) + x)
+  // https://www.wolframalpha.com/input/?i=derivative+of+productlog(-1,+x)
+  // d/dx(W_(-1)(x)) = (W_(-1)(x))/(x W_(-1)(x) + x)
+
+  // 55 decimal digit values added to allow future testing using multiprecision.
+
+  typedef double RealType;
+
+  int epsilons = 1;
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+
+  // derivative of productlog(-1, x)   at x = -0.1 == -13.8803
+  // (derivative of productlog(-1, x) ) at x = N[-0.1, 55] - but the result disappears!
+  // (derivative of N[productlog(-1, x), 55] ) at x = N[-0.1, 55]
+
+  // W0 branch
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0_prime(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+   // BOOST_MATH_TEST_VALUE(RealType, 1.7491967609218355),
+    BOOST_MATH_TEST_VALUE(RealType, 1.7491967609218358355273514903396335693828167746571404),
+    tolerance); //                  1.7491967609218358355273514903396335693828167746571404
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0_prime(BOOST_MATH_TEST_VALUE(RealType, 10.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.063577133469345105142021311010780887641928338458371618),
+    tolerance);
+
+// W-1 branch
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1_prime(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, -13.880252213229780748699361486619519025203815492277715),
+    tolerance);
+  // Lambert W_prime -13.880252213229780748699361486619519025203815492277715, double -13.880252213229781
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1_prime(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, -8.2411940564179044961885598641955579728547896392013239),
+    tolerance);
+  // Lambert W_prime -8.2411940564179044961885598641955579728547896392013239, double -8.2411940564179051
+
+  // Lambert W_prime 0.063577133469345105142021311010780887641928338458371618, double 0.063577133469345098
+}; // BOOST_AUTO_TEST_CASE("Derivatives of lambert_w")
+
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp
new file mode 100644
index 00000000..35d514a7
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp
@@ -0,0 +1,266 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<double>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp
new file mode 100644
index 00000000..220d1814
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp
@@ -0,0 +1,267 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<float>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp
new file mode 100644
index 00000000..763717cd
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp
@@ -0,0 +1,276 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+#ifdef BOOST_HAS_FLOAT128
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#include <boost/multiprecision/float128.hpp>
+
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<boost::multiprecision::float128>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp
new file mode 100644
index 00000000..62f69cc0
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp
@@ -0,0 +1,266 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<long double>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp
new file mode 100644
index 00000000..e8d48348
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp
@@ -0,0 +1,269 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, ifinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<cpp_bin_float_quad>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_laplace.cpp b/src/boost/libs/math/test/test_laplace.cpp
new file mode 100644
index 00000000..d34b7553
--- /dev/null
+++ b/src/boost/libs/math/test/test_laplace.cpp
@@ -0,0 +1,585 @@
+//  Copyright Thijs van den Berg, 2008.
+//  Copyright John Maddock 2008.
+//  Copyright Paul A. Bristow 2008, 2009, 2014.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// add few more tests for farther out than 2??
+// long double test
+// add test for convenience typedef laplace.
+// Permit infinity arguments.
+#ifdef _MSC_VER
+#pragma warning (disable : 4127) // conditional expression is constant.
+#endif
+
+/*
+
+This module tests the Laplace distribution.
+
+Test 1: test_pdf_cdf_ocatave()
+         Compare pdf, cdf agains results obtained from GNU Octave.
+
+Test 2: test_cdf_quantile_symmetry()
+         Checks if quantile is the inverse of cdf by testing
+         quantile(cdf(x)) == x
+
+Test 3: test_hazard_pdf_cdf_symmetry()
+         Checks the relation between hazard, pdf and cdf.
+         hazard = pdf/(1-cdf)
+
+
+Test 4: test_location_scale_symmetry()
+         Checks the pdf, cdf invariant for translation and scaling invariant
+                 cdf(x,location,scale) = cdf( (x-location)/scale, 0, 1)
+         scale * pdf(x,location,scale) = pdf( (x-location)/scale, 0, 1)
+
+Test 5: test_mmm_moments()
+         Tests...
+         mean   == location
+         mode   == location
+         median == location
+
+         standard_deviation = sqrt(2)*scale
+         skewness == 0
+         kurtoris == 6
+         excess kurtoris == 3
+
+Test 6: test_complemented()
+         Test the cdf an quantile complemented function.
+         cdf(L,x) + cdf(complement(l,x)) == 1
+         quantile(L,p) == quantile(complement(l,1-p))
+
+Test 7: test_bad_dist_parameters()
+         Test invalid distribution construction.
+
+Test 8: test_extreme_function_arguments()
+         Test x = +/- inf. for cdf(), pdf()
+         Test p ={0,1} for quantile()
+*/
+
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/distributions/laplace.hpp>
+#include "test_out_of_range.hpp"
+using boost::math::laplace_distribution;
+
+/*
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+*/
+   
+/* 
+   This function test various values of the standard Laplace distribution pdf,cdf
+   against values generated by GNU Octave
+   The test code is generated woth the following Octave script:
+ 
+f = fopen('octave_boost_laplace.cpp', 'w');
+
+for x = [real(-2.0), real(-1.0), real(-0.5), real(0.0), real(0.5), real(1.0), real(2.0)]
+
+   # pdf tests
+   # -----------------------
+   fdisp(f, "   BOOST_CHECK_CLOSE(" ),;
+   fdisp(f, (sprintf ("      pdf(laplace_distribution<RealType>(), static_cast<RealType>(%16.14fL)),", x)));
+   fdisp(f, (sprintf ("      static_cast<RealType>(%16.14fL),", laplace_pdf(x) )) );
+   fdisp(f, "   tolerance);" );
+   fdisp(f, "" );
+  
+   # cdf tests
+   # -----------------------
+   fdisp(f, "   BOOST_CHECK_CLOSE(" );
+   fdisp(f, (sprintf ("      cdf(laplace_distribution<RealType>(), static_cast<RealType>(%16.14fL)),", x)));
+   fdisp(f, (sprintf ("      static_cast<RealType>(%16.14fL),", laplace_cdf(x) )) );
+   fdisp(f, "   tolerance);" );
+   fdisp(f, "" );
+   
+endfor
+
+fclose(f);
+
+
+Laplace distribution values version 2.0
+
+Using NTL version 5.4 and the formula in Wikipedia Paul A. Bristow
+NTL class RR precision 150 bits.
+NTL class RR output precision 50 decimal digits OK.
+Laplace pdf
+-10  0.22699964881242425767795757780275305118959044437696e-4
+-9.5  0.37425914943850295735594659677277583056493449453316e-4
+-9  0.61704902043339774748818345365016913036076416123496e-4
+-8.5  0.00010173418450532208718446671524353319364865576338509
+-8  0.00016773131395125591941069456289043050965545006686111
+-7.5  0.00027654218507391679155100004426517859890566829114007
+-7  0.00045594098277725810400156804220464131323686226383407
+-6.5  0.00075171959648878622369145166608382691500025647887521
+-6  0.0012393760883331792115225837154083339457532397924584
+-5.5  0.0020433857192320334967323513423603842041953283241185
+-5  0.0033689734995427335483180242115742121244247925136568
+-4.5  0.0055544982691211532480715671434652638857696337503689
+-4  0.0091578194443670901468590106366206211059560337810038
+-3.5  0.015098691711159250369893146181809922535830266119032
+-3  0.024893534183931971489671207825030888315849796096331
+-2.5  0.041042499311949397584764337233579903918902060509316
+-2  0.067667641618306345946999747486242201703815772944649
+-1.5  0.11156508007421491446664023538200626067108581471131
+-1  0.18393972058572116079776188508073043372290556554506
+-0.5  0.30326532985631671180189976749559022672095906778368
+0  0.5
+0.5  0.30326532985631671180189976749559022672095906778368
+1  0.18393972058572116079776188508073043372290556554506
+1.5  0.11156508007421491446664023538200626067108581471131
+2  0.067667641618306345946999747486242201703815772944649
+2.5  0.041042499311949397584764337233579903918902060509316
+3  0.024893534183931971489671207825030888315849796096331
+3.5  0.015098691711159250369893146181809922535830266119032
+4  0.0091578194443670901468590106366206211059560337810038
+4.5  0.0055544982691211532480715671434652638857696337503689
+5  0.0033689734995427335483180242115742121244247925136568
+5.5  0.0020433857192320334967323513423603842041953283241185
+6  0.0012393760883331792115225837154083339457532397924584
+6.5  0.00075171959648878622369145166608382691500025647887521
+7  0.00045594098277725810400156804220464131323686226383407
+7.5  0.00027654218507391679155100004426517859890566829114007
+8  0.00016773131395125591941069456289043050965545006686111
+8.5  0.00010173418450532208718446671524353319364865576338509
+9  0.61704902043339774748818345365016913036076416123496e-4
+9.5  0.37425914943850295735594659677277583056493449453316e-4
+10  0.22699964881242425767795757780275305118959044437696e-4
+
+Laplace cdf
+-10  0.9999773000351187575742322042422197246948810411152
+-9.5  0.99996257408505614970426440534032272241694350636029
+-9  0.99993829509795666022525118165463498308696392404693
+-8.5  0.99989826581549467791281553328475646680635134420916
+-8  0.99983226868604874408058930543710956949034454956485
+-7.5  0.9997234578149260832084489999557348214010943317417
+-7  0.99954405901722274189599843195779535868676313746042
+-6.5  0.99924828040351121377630854833391617308499974328643
+-6  0.99876062391166682078847741628459166605424676032523
+-5.5  0.99795661428076796650326764865763961579580467117776
+-5  0.99663102650045726645168197578842578787557520756024
+-4.5  0.9944455017308788467519284328565347361142303666328
+-4  0.99084218055563290985314098936337937889404396651458
+-3.5  0.98490130828884074963010685381819007746416973359633
+-3  0.9751064658160680285103287921749691116841502037504
+-2.5  0.95895750068805060241523566276642009608109793962206
+-2  0.93233235838169365405300025251375779829618422688019
+-1.5  0.8884349199257850855333597646179937393289141857266
+-1  0.81606027941427883920223811491926956627709443427977
+-0.5  0.69673467014368328819810023250440977327904093221632
+0  0.5
+0.5  0.30326532985631671180189976749559022672095906778368
+1  0.18393972058572116079776188508073043372290556572023
+1.5  0.11156508007421491446664023538200626067108581462372
+2  0.067667641618306345946999747486242201703815773119812
+2.5  0.041042499311949397584764337233579903918902060377944
+3  0.024893534183931971489671207825030888315849796249598
+3.5  0.015098691711159250369893146181809922535830266053346
+4  0.009157819444367090146859010636620621105956033835742
+4.5  0.005554498269121153248071567143465263885769633717526
+5  0.0033689734995427335483180242115742121244247924397602
+5.5  0.0020433857192320334967323513423603842041953284719117
+6  0.0012393760883331792115225837154083339457532396747712
+6.5  0.00075171959648878622369145166608382691500025636324071
+7  0.00045594098277725810400156804220464131323686218925325
+7.5  0.00027654218507391679155100004426517859890566825829713
+8  0.00016773131395125591941069456289043050965545008482209
+8.5  0.00010173418450532208718446671524353319364865579083973
+9  0.61704902043339774748818345365016913036076303396971e-4
+9.5  0.37425914943850295735594659677277583056493289386783e-4
+10  0.22699964881242425767795757780275305118958884798806e-4
+
+*/
+template <class RealType>
+void test_pdf_cdf_ocatave()
+{
+   RealType tolerance(1e-10f);
+   
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-2.L)),
+     // static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815773119812L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-2.L)),
+      //static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815773119812L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-1.L)),
+      //static_cast<RealType>(0.18393972058572L),
+      static_cast<RealType>(0.18393972058572116079776188508073043372290556554506L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-1.L)),
+      static_cast<RealType>(0.18393972058572L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-0.5L)),
+   // static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-0.5L)),
+      //static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(0.0L)),
+      static_cast<RealType>(0.5L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(0.0L)),
+      static_cast<RealType>(0.5L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(0.5L)),
+      //static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(0.5L)),
+      // static_cast<RealType>(0.69673467014368L),
+      static_cast<RealType>(0.69673467014368328819810023250440977327904093221632L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(1.0L)),
+    //  static_cast<RealType>(0.18393972058572L),
+      static_cast<RealType>(0.18393972058572116079776188508073043372290556554506L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(1.00000000000000L)),
+     // static_cast<RealType>(0.81606027941428L),
+      static_cast<RealType>(0.81606027941427883920223811491926956627709443427977L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(2.0L)),
+    //  static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815772944649L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(2.0L)),
+   //   static_cast<RealType>(0.93233235838169L),
+      static_cast<RealType>(0.93233235838169365405300025251375779829618422688019L),
+   tolerance);
+
+   check_out_of_range<laplace_distribution<RealType> >(0, 1);
+   BOOST_MATH_CHECK_THROW(laplace_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(laplace_distribution<RealType>(0, -1), std::domain_error);
+}
+
+template <class RealType>
+void test_cdf_quantile_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage.
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   
+   for (int i=0; i<7; ++i)
+   {
+      RealType x( static_cast<RealType>(xtest[i]) );
+      RealType x2( quantile(laplace_distribution<RealType>(), cdf(laplace_distribution<RealType>(), x)) );
+      BOOST_CHECK_CLOSE( x, x2, tolerance);
+   }
+}
+
+template <class RealType>
+void test_hazard_pdf_cdf_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+   {
+      RealType x( static_cast<RealType>(xtest[xi]) );
+      RealType p(  pdf(laplace_distribution<RealType>(), x)  );
+      RealType c(  cdf(laplace_distribution<RealType>(), x)  );
+      RealType h1(   p/(static_cast<RealType>(1.0) - c)  );
+      RealType h2(  hazard(laplace_distribution<RealType>(), x)  );
+      BOOST_CHECK_CLOSE( h1, h2, tolerance);
+   }
+}
+
+template <class RealType>
+void test_location_scale_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float stest[3] = {  0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+      for (int li=0; li<7; ++li)
+         for (int si=0; si<3; ++si)
+         {
+            RealType x( static_cast<RealType>(xtest[xi]) );
+            RealType l( static_cast<RealType>(ltest[li]) );
+            RealType s( static_cast<RealType>(stest[si]) );
+            RealType x0( (x-l)/s );
+
+            BOOST_CHECK_CLOSE( 
+               pdf(laplace_distribution<RealType>(l,s), x) * s,
+               pdf(laplace_distribution<RealType>(), x0),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               cdf(laplace_distribution<RealType>(l,s), x),
+               cdf(laplace_distribution<RealType>(), x0),
+               tolerance);
+
+         }
+}
+
+template <class RealType>
+void test_mmm_moments()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+ //  const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float stest[3] = {  0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+      for (int li=0; li<7; ++li)
+         for (int si=0; si<3; ++si)
+         {
+            //RealType x( static_cast<RealType>(xtest[xi]) );
+            RealType l( static_cast<RealType>(ltest[li]) );
+            RealType s( static_cast<RealType>(stest[si]) );
+
+            BOOST_CHECK_CLOSE( 
+               mean( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               median( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               mode( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+
+            BOOST_CHECK_CLOSE( 
+               standard_deviation( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>( s * boost::math::constants::root_two<RealType>() ),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               skewness( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(0),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               kurtosis( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(6),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               kurtosis_excess( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(3),
+               tolerance);
+         }
+} // template <class RealType> void test_mmm_moments()
+
+template <class RealType>
+void test_complemented()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage.
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 }; // x values.
+   const float ptest[7] = {  0.125, 0.25, 0.5, 0.75, 0.875 }; // probability values.
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 }; // locations.
+   const float stest[3] = {  0.5, 1.0, 2.0 }; // scales.
+
+   for (int li=0; li<7; ++li)
+      for (int si=0; si<3; ++si)
+      {
+         RealType l( static_cast<RealType>(ltest[li]) );
+         RealType s( static_cast<RealType>(stest[si]) );
+
+         for (int xi=0; xi<7; ++xi)
+         {
+            RealType x( static_cast<RealType>(xtest[xi]) );
+
+            // Check sum of cdf and complement = unity.
+            BOOST_CHECK_CLOSE( 
+               cdf(complement(laplace_distribution<RealType>(l,s), x))
+                 + cdf(laplace_distribution<RealType>(l,s), x),
+               static_cast<RealType>(1),
+               tolerance);
+
+         }
+
+         for (int pi=0; pi<5; ++pi)
+         {
+            RealType p( static_cast<RealType>(ptest[pi]) );
+
+            BOOST_CHECK_CLOSE( 
+               quantile(complement(laplace_distribution<RealType>(l,s), 1-p )), 
+               quantile(laplace_distribution<RealType>(l,s), p),
+               tolerance);
+         }
+      }
+} // void test_complemented()
+
+template <class RealType>
+void test_bad_dist_parameters()
+{
+   // Check that can generate laplace distribution using both convenience methods:
+   laplace_distribution<double> lp1(0.5); // Using default RealType double.
+   boost::math::laplace lp2(0.5); // Using typedef. 
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType> lbad1(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType> lbad2(0, -1), std::domain_error);
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType>(0, -1), std::domain_error);
+#endif
+}
+
+template <class RealType>
+void test_extreme_function_arguments()
+{
+   using boost::math::laplace_distribution;
+   using boost::math::policies::policy;
+   using boost::math::policies::overflow_error; 
+   using boost::math::policies::ignore_error;
+
+   typedef policy<
+      overflow_error<ignore_error> // Ignore if argument value causes overflow.
+      > ignore_overflow_policy;
+
+   laplace_distribution<RealType> L01(0, 1);
+   // Compare random variate x = infinity with RealType max value, usually std::numeric_limits<RealType>::max().
+   using boost::math::tools::max_value;  // In case std::numeric_limits<RealType>::max() is not defined.
+   BOOST_CHECK_EQUAL(pdf(L01, +max_value<RealType>()), pdf(L01, +std::numeric_limits<RealType>::infinity()) );
+   BOOST_CHECK_EQUAL(pdf(L01, -max_value<RealType>()), pdf(L01, -std::numeric_limits<RealType>::infinity()) );
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+   laplace_distribution<RealType, ignore_overflow_policy> L1(0, 1);
+   laplace_distribution<RealType, ignore_overflow_policy> L2(1, 2);
+   laplace_distribution<RealType> l01;
+
+   // Check pdf == 0 at x = +/- infinity.
+   BOOST_CHECK_EQUAL(pdf(L01, +std::numeric_limits<RealType>::infinity()), 0 );
+   BOOST_CHECK_EQUAL(pdf(L01, -std::numeric_limits<RealType>::infinity()), 0 );
+
+   BOOST_CHECK_EQUAL(cdf(L01, +std::numeric_limits<RealType>::infinity()), 1 );
+   BOOST_CHECK_EQUAL(cdf(L01, -std::numeric_limits<RealType>::infinity()), 0 );
+   BOOST_CHECK_EQUAL(cdf(complement(L01, +std::numeric_limits<RealType>::infinity())), 0 );
+   BOOST_CHECK_EQUAL(cdf(complement(L01, -std::numeric_limits<RealType>::infinity())), 1 );
+
+   // Trac #9672 Feb 2014 x = infinity is now allowed.
+   //BOOST_MATH_CHECK_THROW(pdf(L1, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L1, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L2, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L2, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+
+   // Check cdf at x = +/- infinity.
+   //BOOST_MATH_CHECK_THROW(cdf(L1, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L1, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L2, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L2, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+
+   // Check quantile at p = 0, 1 which return infinity.
+   BOOST_CHECK_EQUAL(quantile(L1, 0), -std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L1, 1), +std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L2, 0), -std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L2, 1), +std::numeric_limits<RealType>::infinity() );
+  }
+}
+
+BOOST_AUTO_TEST_CASE( vs_GNU_Octave )
+{
+   test_pdf_cdf_ocatave<float>();
+   test_pdf_cdf_ocatave<double>();
+}
+
+BOOST_AUTO_TEST_CASE( cdf_quantile_symmetry )
+{
+   test_cdf_quantile_symmetry<float>();
+   test_cdf_quantile_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( hazard_pdf_cdf_symmetry )
+{
+   test_hazard_pdf_cdf_symmetry<float>();
+   test_hazard_pdf_cdf_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( location_scale_symmetry )
+{
+   test_location_scale_symmetry<float>();
+   test_location_scale_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( mmm_moments )
+{
+   test_mmm_moments<float>();
+   test_mmm_moments<double>();
+}
+
+BOOST_AUTO_TEST_CASE( t_complemented )
+{
+   test_complemented<float>();
+   test_complemented<double>();
+}
+
+BOOST_AUTO_TEST_CASE( bad_dist_parameters )
+{
+   test_bad_dist_parameters<float>();
+   test_bad_dist_parameters<double>();
+}
+
+BOOST_AUTO_TEST_CASE( extreme_function_arguments )
+{
+   BOOST_TEST_MESSAGE("extreme arguments");
+   test_extreme_function_arguments<float>();
+   test_extreme_function_arguments<double>();
+}
+
+/*
+
+Output:
+
+------ Rebuild All started: Project: test_laplace, Configuration: Debug Win32 ------
+  test_laplace.cpp
+  test_laplace.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_laplace.exe
+  Running 8 test cases...
+  
+  *** No errors detected
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_ldouble_simple.cpp b/src/boost/libs/math/test/test_ldouble_simple.cpp
new file mode 100644
index 00000000..9f5fd566
--- /dev/null
+++ b/src/boost/libs/math/test/test_ldouble_simple.cpp
@@ -0,0 +1,33 @@
+// Copyright John Maddock 2013.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This file verifies that certain core functions are always
+// available, even when long double support is patchy at best
+// and BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS is defined.
+//
+#define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_CHECK_EQUAL((boost::math::signbit)(1.0L), 0.0L);
+   BOOST_CHECK((boost::math::signbit)(-1.0L) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(1.0L), 1.0L);
+   BOOST_CHECK_EQUAL((boost::math::sign)(-1.0L), -1.0L);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(1.0L), -1.0L);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(-1.0L), 1.0L);
+
+   BOOST_CHECK_EQUAL((boost::math::fpclassify)(1.0L), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((boost::math::isnan)(1.0L), false);
+   BOOST_CHECK_EQUAL((boost::math::isinf)(1.0L), false);
+   BOOST_CHECK_EQUAL((boost::math::isnormal)(1.0L), true);
+   BOOST_CHECK_EQUAL((boost::math::isfinite)(1.0L), true);
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_legacy_nonfinite.cpp b/src/boost/libs/math/test/test_legacy_nonfinite.cpp
new file mode 100644
index 00000000..efa40da9
--- /dev/null
+++ b/src/boost/libs/math/test/test_legacy_nonfinite.cpp
@@ -0,0 +1,185 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow comments
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+/*!
+\file
+\brief Legacy (non-C99) tests of the nonfinite num facets.
+
+\detail legacy_test outputs using nonfinite_num_put facet
+with legacy flag, and reads back in using nonfinite_num_ facet,
+and checks loopback OK.
+
+Also checks that output of infinity, -infinity and NaN are as expected,
+including the 'legacy' "1.#IND",  "1.#QNAN", "1.#SNAN" representations
+(was used by MSVC but now all represented on output by "1.#QNAN") 
+and qnan snan nanq nans (used by other systems)
+excluding C99 specification  "nan -nan nan -nan" and "inf -inf".
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#endif
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+//#include "almost_equal.hpp"
+//#include "S_.hpp"
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+namespace {
+
+// The anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions declared at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void legacy_test_inf();
+void legacy_test_nan();
+
+BOOST_AUTO_TEST_CASE(legacy_test)
+{
+    legacy_test_inf();
+    legacy_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void legacy_test_inf_impl();
+
+void legacy_test_inf()
+{
+    legacy_test_inf_impl<char, float>();
+    legacy_test_inf_impl<char, double>();
+    legacy_test_inf_impl<char, long double>();
+    legacy_test_inf_impl<wchar_t, float>();
+    legacy_test_inf_impl<wchar_t, double>();
+    legacy_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void legacy_test_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale, new nonfinite_num_get<CharType>(legacy));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a1 << ' ' << a2;
+
+    ss << " 1.#INF";
+
+    ValType b1, b2, b3;
+    ss >> b1 >> b2 >> b3;
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(b3 == std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void legacy_test_nan_impl();
+
+void legacy_test_nan()
+{
+    legacy_test_nan_impl<char, float>();
+    legacy_test_nan_impl<char, double>();
+    legacy_test_nan_impl<char, long double>();
+    legacy_test_nan_impl<wchar_t, float>();
+    legacy_test_nan_impl<wchar_t, double>();
+    legacy_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void legacy_test_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale, new nonfinite_num_get<CharType>(legacy));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a2 = -std::numeric_limits<ValType>::quiet_NaN();
+    ValType a3 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a4 = -std::numeric_limits<ValType>::signaling_NaN();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4; 
+
+    ss << " qnan snan nanq nans 1.#IND 1.#QNAN 1.#SNAN";
+
+    ValType b1, b2, b3, b4, b5, b6, b7, b8, b9, b10, b11;
+    ss >> b1 >> b2 >> b3 >> b4 >> b5 >> b6 >> b7 >> b8 >> b9 >> b10 >> b11;
+
+    // std::cout << b11 << std::endl; // Confirms that legacy
+    // IND, SNAN and QNAN are considered the same,
+    // and both output the legacy string "1.#QNAN".
+
+    BOOST_CHECK((isnan)(b1));
+    BOOST_CHECK((isnan)(b2));
+    BOOST_CHECK((isnan)(b3));
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK((isnan)(b5));
+    BOOST_CHECK((isnan)(b6));
+    BOOST_CHECK((isnan)(b7));
+    BOOST_CHECK((isnan)(b8));
+    BOOST_CHECK((isnan)(b9));
+    BOOST_CHECK((isnan)(b10));
+    BOOST_CHECK((isnan)(b11));  //  Johan V3 1.#SNAN failed on MSVC 10.
+    // Change in nonfinite_num_facet.hpp Paul A. Bristow 11 Apr 11 makes work OK.
+/*
+    // These tests fail on platforms, such as gcc,
+    // that use the same representation of +nan and -nan.
+
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(!(signbit)(b3));
+    BOOST_CHECK((signbit)(b4));
+*/
+    BOOST_CHECK(!(signbit)(b5));
+    BOOST_CHECK(!(signbit)(b6));
+    BOOST_CHECK(!(signbit)(b7));
+    BOOST_CHECK(!(signbit)(b8));
+    BOOST_CHECK(!(signbit)(b9));
+    BOOST_CHECK(!(signbit)(b10));
+    BOOST_CHECK(!(signbit)(b11));  // Johan V3 1.#SNAN failed MSVC 10.
+
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit); // Fails if SNAN test fails.
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
+
+/*
+
+Output:
+
+  legacy_test.vcxproj -> J:\Cpp\fp_facet\fp_facet\Debug\legacy_test.exe
+  Running 1 test case...
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  
+  *** No errors detected
+
+
+*/
diff --git a/src/boost/libs/math/test/test_legendre.cpp b/src/boost/libs/math/test/test_legendre.cpp
new file mode 100644
index 00000000..3a0490d5
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre.cpp
@@ -0,0 +1,231 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_legendre.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the legendre polynomials.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   if((std::numeric_limits<long double>::digits <= 64)
+      && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 10, 5);                  // test function
+#endif
+   }
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_p", 1000, 200);  // test function
+      add_expected_result(
+         "Intel.*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 10000, 1000);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 7000, 1000);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_p", 1000, 200);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 7000, 1000);  // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_p", 500, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_q", 5400, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_p", 300, 80);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_q", 100, 50);  // test function
+   add_expected_result(
+      "Intel.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 300, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 200, 20);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_p", 500, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_q", 5400, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_p", 300, 80);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_q", 100, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 200, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_legendre_p(0.1F, "float");
+   test_legendre_p(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_legendre_p(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_legendre_p(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_legendre_p_prime<float>();
+   test_legendre_p_prime<double>();
+   test_legendre_p_prime<long double>();
+
+   int ulp_distance = test_legendre_p_zeros_double_ulp(1, 100);
+   BOOST_CHECK(ulp_distance <= 2);
+   test_legendre_p_zeros<float>();
+   test_legendre_p_zeros<double>();
+   test_legendre_p_zeros<long double>();
+}
diff --git a/src/boost/libs/math/test/test_legendre.hpp b/src/boost/libs/math/test/test_legendre.hpp
new file mode 100644
index 00000000..b260050b
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre.hpp
@@ -0,0 +1,367 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4756) // overflow in constant arithmetic
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_legendre_p(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(int, value_type);
+   pg funcp;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_P_FUNCTION_TO_TEST))
+#ifdef LEGENDRE_P_FUNCTION_TO_TEST
+   funcp = LEGENDRE_P_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::legendre_p<value_type>;
+#else
+   funcp = boost::math::legendre_p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test legendre_p against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_p", test_name);
+#endif
+
+   typedef value_type (*pg2)(unsigned, value_type);
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_Q_FUNCTION_TO_TEST))
+#ifdef LEGENDRE_Q_FUNCTION_TO_TEST
+   pg2 funcp2 = LEGENDRE_Q_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg2 funcp2 = boost::math::legendre_q<value_type>;
+#else
+   pg2 funcp2 = boost::math::legendre_q;
+#endif
+
+   //
+   // test legendre_q against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp2, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_q", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_assoc_legendre_p(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_PA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(int, int, value_type);
+#ifdef LEGENDRE_PA_FUNCTION_TO_TEST
+   pg funcp = LEGENDRE_PA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::legendre_p<value_type>;
+#else
+   pg funcp = boost::math::legendre_p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test legendre_p against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_p (associated)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_legendre_p(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "legendre_p.ipp"
+
+   do_test_legendre_p<T>(legendre_p, name, "Legendre Polynomials: Small Values");
+
+#  include "legendre_p_large.ipp"
+
+   do_test_legendre_p<T>(legendre_p_large, name, "Legendre Polynomials: Large Values");
+
+#  include "assoc_legendre_p.ipp"
+
+   do_test_assoc_legendre_p<T>(assoc_legendre_p, name, "Associated Legendre Polynomials: Small Values");
+
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-1, static_cast<T>(0.5L)), static_cast<T>(1L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, static_cast<T>(0.5L)), static_cast<T>(-0.2890625000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, static_cast<T>(0.5L)), static_cast<T>(-0.4375000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, static_cast<T>(0.5L)), static_cast<T>(0.2231445312500000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, static_cast<T>(0.5L)), static_cast<T>(0.3232421875000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, static_cast<T>(0.5L)), static_cast<T>(-0.09542943523261546936538467572384923220258L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, static_cast<T>(0.5L)), static_cast<T>(-0.1316993126940266257030910566308990611306L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(0.5L)), static_cast<T>(5.625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
+   if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(0.5L)), static_cast<T>(4.966634149702370788037088925152355134665e30L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(-0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(-0.5L)), static_cast<T>(-5.625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(-0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(-0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
+   if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(-0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(-0.5L)), static_cast<T>(-4.966634149702370788037088925152355134665e30L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, -2, static_cast<T>(0.5L)), static_cast<T>(0.01171875000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, -2, static_cast<T>(0.5L)), static_cast<T>(0.04687500000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, -5, static_cast<T>(0.5L)), static_cast<T>(0.00002378609812640364935569308025139290054701L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, -4, static_cast<T>(0.5L)), static_cast<T>(0.0002563476562500000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, -30, static_cast<T>(0.5L)), static_cast<T>(-2.379819988646847616996471299410611801239e-48L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, -20, static_cast<T>(0.5L)), static_cast<T>(4.356454600748202401657099008867502679122e-33L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(1, static_cast<T>(0.5L)), static_cast<T>(-0.7253469278329725771511886907693685738381L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(4, static_cast<T>(0.5L)), static_cast<T>(0.4401745259867706044988642951843745400835L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(7, static_cast<T>(0.5L)), static_cast<T>(-0.3439152932669753451878700644212067616780L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(40, static_cast<T>(0.5L)), static_cast<T>(0.1493671665503550095010454949479907886011L), tolerance);
+}
+
+template <class T>
+void test_legendre_p_prime()
+{
+    T tolerance = 100*boost::math::tools::epsilon<T>();
+    T x = -1;
+    while (x <= 1)
+    {
+        // P_0'(x) = 0
+        BOOST_CHECK_SMALL(::boost::math::legendre_p_prime<T>(0,  x), tolerance);
+        // Reflection formula for P_{-1}(x) = P_{0}(x):
+        BOOST_CHECK_SMALL(::boost::math::legendre_p_prime<T>(-1,  x), tolerance);
+
+        // P_1(x) = x, so P_1'(x) = 1:
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(1,  x), static_cast<T>(1), tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-2,  x), static_cast<T>(1), tolerance);
+
+        // P_2(x) = 3x^2/2 + k => P_2'(x) = 3x
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(2,  x), 3*x, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-3,  x), 3*x, tolerance);
+
+        // P_3(x) = (5x^3 - 3x)/2 => P_3'(x) = (15x^2 - 3)/2:
+        T xsq = x*x;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(3,  x), (15*xsq - 3)/2, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-4,  x), (15*xsq -3)/2, tolerance);
+
+        // P_4(x) = (35x^4 - 30x^2 +3)/8 => P_4'(x) = (5x/2)*(7x^2 - 3)
+        T expected = 5*x*(7*xsq - 3)/2;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(4,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-5,  x), expected, tolerance);
+
+        // P_5(x) = (63x^5 - 70x^3 + 15x)/8 => P_5'(x) = (315*x^4 - 210*x^2 + 15)/8
+        T x4 = xsq*xsq;
+        expected = (315*x4 - 210*xsq + 15)/8;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(5,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-6,  x), expected, tolerance);
+
+        // P_6(x) = (231x^6 -315*x^4 +105x^2 -5)/16 => P_6'(x) = (6*231*x^5 - 4*315*x^3 + 105x)/16
+        expected = 21*x*(33*x4 - 30*xsq + 5)/8;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(6,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-7,  x), expected, tolerance);
+
+        // Mathematica: D[LegendreP[7, x],x]
+        T x6 = x4*xsq;
+        expected = 7*(429*x6 -495*x4 + 135*xsq - 5)/16;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(7,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-8,  x), expected, tolerance);
+
+        // Mathematica: D[LegendreP[8, x],x]
+        // The naive polynomial evaluation algorithm is going to get worse from here out, so this will be enough.
+        expected = 9*x*(715*x6 - 1001*x4 + 385*xsq - 35)/16;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(8,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-9,  x), expected, tolerance);
+
+        x += static_cast<T>(1)/static_cast<T>(pow(T(2), T(4)));
+    }
+
+    int n = 0;
+    while (n < 5000)
+    {
+        T expected = n*(n+1)*boost::math::constants::half<T>();
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) 1), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) 1), expected, tolerance);
+        if (n & 1)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) -1), expected, tolerance);
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) -1), expected, tolerance);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) -1), -expected, tolerance);
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) -1), -expected, tolerance);
+        }
+        ++n;
+    }
+}
+
+template<class Real>
+void test_legendre_p_zeros()
+{
+    std::cout << "Testing Legendre zeros on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::sqrt;
+    using std::abs;
+    using boost::math::legendre_p_zeros;
+    using boost::math::legendre_p;
+    using boost::math::constants::third;
+    Real tol = std::numeric_limits<Real>::epsilon();
+
+    // Check the trivial cases:
+    std::vector<Real> zeros = legendre_p_zeros<Real>(1);
+    BOOST_ASSERT(zeros.size() == 1);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+
+    zeros = legendre_p_zeros<Real>(2);
+    BOOST_ASSERT(zeros.size() == 1);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], (Real) 1/ sqrt(static_cast<Real>(3)), tol);
+
+    zeros = legendre_p_zeros<Real>(3);
+    BOOST_ASSERT(zeros.size() == 2);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt(static_cast<Real>(3)/static_cast<Real>(5)), tol);
+
+    zeros = legendre_p_zeros<Real>(4);
+    BOOST_ASSERT(zeros.size() == 2);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], sqrt( (15-2*sqrt(static_cast<Real>(30)))/static_cast<Real>(35) ), tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt( (15+2*sqrt(static_cast<Real>(30)))/static_cast<Real>(35) ), tol);
+
+
+    zeros = legendre_p_zeros<Real>(5);
+    BOOST_ASSERT(zeros.size() == 3);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], third<Real>()*sqrt( (35 - 2*sqrt(static_cast<Real>(70)))/static_cast<Real>(7) ), 2*tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], third<Real>()*sqrt( (35 + 2*sqrt(static_cast<Real>(70)))/static_cast<Real>(7) ), 2*tol);
+
+    // Don't take the tolerances too seriously.
+    // The other test shows that the zeros are estimated more accurately than the function!
+    for (unsigned n = 6; n < 130; ++n)
+    {
+        zeros = legendre_p_zeros<Real>(n);
+        if (n & 1)
+        {
+            BOOST_CHECK(zeros.size() == (n-1)/2 +1);
+            BOOST_CHECK_SMALL(zeros[0], tol);
+        }
+        else
+        {
+            // Zero is not a zero of the odd Legendre polynomials
+            BOOST_CHECK(zeros.size() == n/2);
+            BOOST_CHECK(zeros[0] > 0);
+            BOOST_CHECK_SMALL(legendre_p(n, zeros[0]), 550*tol);
+        }
+        Real previous_zero = zeros[0];
+        for (unsigned k = 1; k < zeros.size(); ++k)
+        {
+            Real next_zero = zeros[k];
+            BOOST_CHECK(next_zero > previous_zero);
+
+            std::string err = "Tolerance failed for (n, k) = (" + boost::lexical_cast<std::string>(n) + "," + boost::lexical_cast<std::string>(k) + ")\n";
+            if (n < 40)
+            {
+                BOOST_CHECK_MESSAGE( abs(legendre_p(n, next_zero)) < 100*tol,
+                                     err);
+            }
+            else
+            {
+              BOOST_CHECK_MESSAGE( abs(legendre_p(n, next_zero)) < 1000*tol,
+                                   err);
+            }
+            previous_zero = next_zero;
+        }
+        // The zeros of orthogonal polynomials are contained strictly in (a, b).
+        BOOST_CHECK(previous_zero < 1);
+    }
+    return;
+}
+
+int test_legendre_p_zeros_double_ulp(int min_x, int max_n)
+{
+    std::cout << "Testing ULP distance for Legendre zeros.\n";
+    using std::abs;
+    using boost::math::legendre_p_zeros;
+    using boost::math::float_distance;
+    using boost::multiprecision::cpp_bin_float_quad;
+
+    double max_float_distance = 0;
+    for (int n = min_x; n < max_n; ++n)
+    {
+        std::vector<double> double_zeros = legendre_p_zeros<double>(n);
+        std::vector<cpp_bin_float_quad> quad_zeros   = legendre_p_zeros<cpp_bin_float_quad>(n);
+        BOOST_ASSERT(quad_zeros.size() == double_zeros.size());
+        for (int k = 0; k < (int)double_zeros.size(); ++k)
+        {
+            double d = abs(float_distance(double_zeros[k], quad_zeros[k].convert_to<double>()));
+            if (d > max_float_distance)
+            {
+                max_float_distance = d;
+            }
+        }
+    }
+
+    return (int) max_float_distance;
+}
diff --git a/src/boost/libs/math/test/test_legendre_hooks.hpp b/src/boost/libs/math/test/test_legendre_hooks.hpp
new file mode 100644
index 00000000..3c962615
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre_hooks.hpp
@@ -0,0 +1,41 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_LEGENDRE_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_LEGENDRE_OTHER_HOOKS_HPP
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_legendre.h>
+
+namespace other{
+inline float legendre_p(int l, float a)
+{ return (float)gsl_sf_legendre_Pl (l, a); }
+inline double legendre_p(int l, double a)
+{ return gsl_sf_legendre_Pl (l, a); }
+inline long double legendre_p(int l, long double a)
+{ return gsl_sf_legendre_Pl (l, a); }
+
+inline float legendre_q(int l, float a)
+{ return (float)gsl_sf_legendre_Ql (l, a); }
+inline double legendre_q(int l, double a)
+{ return gsl_sf_legendre_Ql (l, a); }
+inline long double legendre_q(int l, long double a)
+{ return gsl_sf_legendre_Ql (l, a); }
+
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept legendre_p(int, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept legendre_q(int, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_lexical_cast.cpp b/src/boost/libs/math/test/test_lexical_cast.cpp
new file mode 100644
index 00000000..e129dde8
--- /dev/null
+++ b/src/boost/libs/math/test/test_lexical_cast.cpp
@@ -0,0 +1,122 @@
+
+// Copyright (c) 2006 Johan Rade
+
+// Copyright (c) 2011 Paul A. Bristow incorporated Boost.Math
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#ifdef _MSC_VER
+//#   pragma warning(disable : 4127 4511 4512 4701 4702)
+//#endif
+
+#define BOOST_TEST_MAIN
+
+#include <limits>
+#include <locale>
+#include <string>
+#include <boost/lexical_cast.hpp>
+#include <boost/test/unit_test.hpp>
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "almost_equal.ipp"
+#include "s_.ipp"
+
+namespace {
+
+// the anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope
+
+using boost::lexical_cast;
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void lexical_cast_test_impl();
+
+BOOST_AUTO_TEST_CASE(lexical_cast_test)
+{
+    lexical_cast_test_impl<char, float>();
+    lexical_cast_test_impl<char, double>();
+    lexical_cast_test_impl<char, long double>();
+    lexical_cast_test_impl<wchar_t, float>();
+    lexical_cast_test_impl<wchar_t, double>();
+    lexical_cast_test_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void lexical_cast_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+    if((std::numeric_limits<ValType>::has_quiet_NaN == 0) || (std::numeric_limits<ValType>::quiet_NaN() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(signed_zero));
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+    std::locale::global(new_locale);
+
+    ValType a1 = static_cast<ValType>(0);
+    ValType a2 = static_cast<ValType>(13);
+    ValType a3 = std::numeric_limits<ValType>::infinity();
+    ValType a4 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a5 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a6 = (changesign)(static_cast<ValType>(0));
+    ValType a7 = static_cast<ValType>(-57);
+    ValType a8 = -std::numeric_limits<ValType>::infinity();
+    ValType a9 = (changesign)(std::numeric_limits<ValType>::quiet_NaN()); // -NaN
+    ValType a10 = (changesign)(std::numeric_limits<ValType>::signaling_NaN()); // -NaN
+
+    std::basic_string<CharType> s1 = S_("0");
+    std::basic_string<CharType> s2 = S_("13");
+    std::basic_string<CharType> s3 = S_("inf");
+    std::basic_string<CharType> s4 = S_("nan");
+    std::basic_string<CharType> s5 = S_("nan");
+    std::basic_string<CharType> s6 = S_("-0");
+    std::basic_string<CharType> s7 = S_("-57");
+    std::basic_string<CharType> s8 = S_("-inf");
+    std::basic_string<CharType> s9 = S_("-nan");
+    std::basic_string<CharType> s10 = S_("-nan");
+
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a1) == s1);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a2) == s2);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a3) == s3);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a4) == s4);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a5) == s5);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a6) == s6);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a7) == s7);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a8) == s8);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a9) == s9);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a10) == s10);
+
+    BOOST_CHECK(lexical_cast<ValType>(s1) == a1);
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s1)));
+    BOOST_CHECK(lexical_cast<ValType>(s2) == a2);
+    BOOST_CHECK(lexical_cast<ValType>(s3) == a3);
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s4)));
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s4)));
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s5)));
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s5)));
+    BOOST_CHECK(lexical_cast<ValType>(a6) == a6);
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s6)));
+    BOOST_CHECK(lexical_cast<ValType>(s7) == a7);
+    BOOST_CHECK(lexical_cast<ValType>(s8) == a8);
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s9)));
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s9)));
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s10)));
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s10)));
+
+    std::locale::global(old_locale);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_logistic_dist.cpp b/src/boost/libs/math/test/test_logistic_dist.cpp
new file mode 100644
index 00000000..eeb23ced
--- /dev/null
+++ b/src/boost/libs/math/test/test_logistic_dist.cpp
@@ -0,0 +1,378 @@
+// Copyright 2008 Gautam Sewani
+// Copyright 2013 Paul A. Bristow
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#endif
+
+#include <boost/config.hpp>
+#ifndef BOOST_NO_EXCEPTIONS
+#define BOOST_MATH_UNDERFLOW_ERROR_POLICY throw_on_error
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
+#endif
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/logistic.hpp>
+    using boost::math::logistic_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType location, RealType scale, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+      logistic_distribution<RealType>(location,scale),      
+      x),
+      p,
+      tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+      complement(logistic_distribution<RealType>(location,scale),      
+      x)),
+      q,
+      tolerance); // %
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+         logistic_distribution<RealType>(location,scale),      
+         p),
+         x,
+         tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+         complement(logistic_distribution<RealType>(location,scale),      
+         q)),
+         x,
+         2 * tolerance); // %
+   }
+}
+
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // Test data taken from Mathematica 6
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(1e-33L),
+      boost::math::tools::epsilon<RealType>());
+   cout<<"Absolute tolerance:"<<tolerance<<endl;
+
+   tolerance *= 50 * 100; 
+   // #  pragma warning(disable: 4100) // unreferenced formal parameter.
+   // prevent his spurious warning.
+   if (T != 0)
+   {
+      cout << "Expect parameter T == 0!" << endl;
+   }
+   cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   test_spot(
+      static_cast<RealType>(1), // location
+      static_cast<RealType>(0.5L), // scale
+      static_cast<RealType>(0.1L), // x
+      static_cast<RealType>(0.141851064900487789594278108470953L), // p
+      static_cast<RealType>(0.858148935099512210405721891529047L), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(3.123123123L),//x 
+      static_cast<RealType>(0.281215878622547904873088053477813L), // p
+      static_cast<RealType>(0.718784121377452095126911946522187L), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(1.2345L), // location
+      static_cast<RealType>(0.12345L), // scale
+      static_cast<RealType>(3.123123123L),//x
+      static_cast<RealType>(0.999999773084685079723328282229357L), // p
+      static_cast<RealType>(2.26915314920276671717770643005212e-7L), //q
+      tolerance);
+
+
+   //High probability
+   test_spot(
+      static_cast<RealType>(1), // location
+      static_cast<RealType>(0.5L), // scale
+      static_cast<RealType>(10), // x
+      static_cast<RealType>(0.99999998477002048723965105559179L), // p  
+      static_cast<RealType>(1.5229979512760348944408208801237e-8L), //q
+      tolerance);
+
+   //negative x
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(-0.1L), // scale
+      static_cast<RealType>(0.0724264853615177178439235061476928L), // p
+      static_cast<RealType>(0.927573514638482282156076493852307L), //q
+      tolerance);
+
+
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(-20), // x
+      static_cast<RealType>(3.72663928418656138608800947863869e-6L), // p
+      static_cast<RealType>(0.999996273360715813438613911990521L), //q
+      tolerance);
+
+
+   // Test value to check cancellation error in straight/complemented quantile.
+   // The subtraction in the formula location-scale*log term introduces catastrophic
+   // cancellation error if location and scale*log term are close.
+   // For these values, the tests fail at tolerance, but work at 100*tolerance.
+   test_spot(
+      static_cast<RealType>(-1.2345L), // location
+      static_cast<RealType>(1.4555L), // scale
+      static_cast<RealType>(-0.00125796420642514024493852425918807L),// x
+      static_cast<RealType>(0.7L), // p
+      static_cast<RealType>(0.3L), //q
+      80*tolerance);   
+
+   test_spot(
+      static_cast<RealType>(1.2345L), // location
+      static_cast<RealType>(0.12345L), // scale
+      static_cast<RealType>(0.0012345L), // x
+      static_cast<RealType>(0.0000458541039469413343331170952855318L), // p
+      static_cast<RealType>(0.999954145896053058665666882904714L), //q
+      80*tolerance);
+
+
+
+   test_spot(
+      static_cast<RealType>(5L), // location
+      static_cast<RealType>(2L), // scale
+      static_cast<RealType>(0.0012345L), // x
+      static_cast<RealType>(0.0759014628704232983512906076564256L), // p
+      static_cast<RealType>(0.924098537129576701648709392343574L), //q
+      80*tolerance);
+
+   //negative location
+   test_spot(
+      static_cast<RealType>(-123.123123L), // location
+      static_cast<RealType>(2.123L), // scale
+      static_cast<RealType>(3), // x
+      static_cast<RealType>(0.999999999999999999999999984171276L), // p
+      static_cast<RealType>(1.58287236765203121622150720373972e-26L), //q
+      tolerance);
+   //PDF Testing
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+      logistic_distribution<RealType>(5,2),      
+         static_cast<RealType>(0.125L) ),//x
+         static_cast<RealType>(0.0369500730133475464584898192104821L),              // probability
+      tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         logistic_distribution<RealType>(static_cast<RealType>(1.2345L), static_cast<RealType>(0.12345L)),      
+         static_cast<RealType>(0.0012345L) ),//x
+         static_cast<RealType>(0.000371421639109700748742498671686243L),              // probability
+      tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+      logistic_distribution<RealType>(2,1),      
+         static_cast<RealType>(2L) ),//x
+         static_cast<RealType>(0.25L),              // probability
+      tolerance); // %
+
+   //Extreme value testing
+
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+   }
+   BOOST_MATH_CHECK_THROW(quantile(logistic_distribution<RealType>(), static_cast<RealType>(1)), std::overflow_error); // x = + infinity, cdf = 1
+   BOOST_MATH_CHECK_THROW(quantile(logistic_distribution<RealType>(), static_cast<RealType>(0)), std::overflow_error); // x = - infinity, cdf = 0
+   BOOST_MATH_CHECK_THROW(quantile(complement(logistic_distribution<RealType>(), static_cast<RealType>(1))), std::overflow_error); // x = - infinity, cdf = 0
+   BOOST_MATH_CHECK_THROW(quantile(complement(logistic_distribution<RealType>(), static_cast<RealType>(0))), std::overflow_error); // x = + infinity, cdf = 1
+   BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>()), 1); // x = + infinity, cdf = 1
+   BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>()), 0); // x = - infinity, cdf = 0
+   BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>())), 0); // x = + infinity, c cdf = 0
+   BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>())), 1); // x = - infinity, c cdf = 1
+   BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>()), 0); // x = + infinity, pdf = 0
+   BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>()), 0); // x = - infinity, pdf = 0
+
+   //
+   // Things that are errors:
+   // 1. Domain errors for scale and location.
+   // 2. x being NAN.
+   // 3. Probabilies being outside (0,1).
+   check_out_of_range<logistic_distribution<RealType> >(0, 1);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(0, 1), inf), 0);
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(0, 1), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(0, 1), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(0, 1), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(0, 1), inf)), 0);
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(0, 1), -inf)), 1);
+   }
+
+   // location/scale can't be infinity.
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType> dist(std::numeric_limits<RealType>::infinity(), 0.5),
+         std::domain_error);
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType> dist(0.5, std::numeric_limits<RealType>::infinity()),
+         std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType>(std::numeric_limits<RealType>::infinity(), 0.5),
+         std::domain_error);
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType>(0.5, std::numeric_limits<RealType>::infinity()),
+         std::domain_error);
+#endif
+   }
+   // scale can't be negative or 0.
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType> dist(0.5, -0.5),
+      std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType> dist(0.5, 0),
+      std::domain_error);
+#else
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType>(0.5, -0.5),
+      std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType>(0.5, 0),
+      std::domain_error);
+#endif
+
+   logistic_distribution<RealType> dist(0.5, 0.5);
+   // x can't be NaN, p can't be NaN.
+
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   {
+      // No longer allow x to be NaN, then these tests should throw.
+      BOOST_MATH_CHECK_THROW(pdf(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(complement(dist, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+      BOOST_MATH_CHECK_THROW(quantile(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+      BOOST_MATH_CHECK_THROW(quantile(complement(dist, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+   }
+   if (std::numeric_limits<RealType>::has_infinity)
+   {
+  // Added test for Trac https://svn.boost.org/trac/boost/ticket/9126#comment:1
+     logistic_distribution<RealType> dist(0., 0.5);
+     BOOST_CHECK_EQUAL(pdf(dist, +std::numeric_limits<RealType>::infinity()), static_cast<RealType>(0) ); // x = infinity
+
+   }
+
+
+   // p can't be outside (0,1).
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(1.1)), std::domain_error); 
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(-0.1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(1)), std::overflow_error); 
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(0)), std::overflow_error);
+
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(1.1))), std::domain_error); 
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(-0.1))), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(1))), std::overflow_error); 
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(0))), std::overflow_error); 
+
+   // Tests for mean,mode,median,variance,skewness,kurtosis.
+   //mean
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance); // %
+   //median
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance);
+   //mode
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance);
+   //variance
+   BOOST_CHECK_CLOSE(
+      ::boost::math::variance(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(3.28986813369645287294483033329205L),  // probability
+      tolerance);
+   //skewness
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(0),              // probability
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(1.2L),              // probability
+      tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate logistic distribution using the two convenience methods:
+   boost::math::logistic mycexp1(1.); // Using typedef
+   logistic_distribution<> myexp2(1.); // Using default RealType double.
+
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_lognormal.cpp b/src/boost/libs/math/test/test_lognormal.cpp
new file mode 100644
index 00000000..d124c06c
--- /dev/null
+++ b/src/boost/libs/math/test/test_lognormal.cpp
@@ -0,0 +1,314 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lognormal.cpp
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/lognormal.hpp>
+    using boost::math::lognormal_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+#include <cassert>
+
+template <class RealType>
+void check_lognormal(RealType loc, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         lognormal_distribution<RealType>(loc, scale),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            lognormal_distribution<RealType>(loc, scale),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         lognormal_distribution<RealType>(loc, scale),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            lognormal_distribution<RealType>(loc, scale),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+ 
+   // Basic sanity checks.
+   RealType tolerance = 5e-3 * 100;
+   // Some tests only pass at 1e-4 because values generated by
+   // http://faculty.vassar.edu/lowry/VassarStats.html
+   // give only 5 or 6 *fixed* places, so small values have fewer digits.
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   using std::exp;
+
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at http://faculty.vassar.edu/lowry/VassarStats.html
+   // and then exponentiating the random variate x.
+   //
+
+   check_lognormal(
+      static_cast<RealType>(0),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(0.5),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(1.8)),     // x
+      static_cast<RealType>(0.46017),   // p
+      static_cast<RealType>(1-0.46017),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(2.2)),     // x
+      static_cast<RealType>(1-0.46017),   // p
+      static_cast<RealType>(0.46017),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(-1.4)),     // x
+      static_cast<RealType>(0.04457),   // p
+      static_cast<RealType>(1-0.04457),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(5.4)),     // x
+      static_cast<RealType>(1-0.04457),   // p
+      static_cast<RealType>(0.04457),   // q
+      tolerance);
+
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-5.0)),     // x
+      static_cast<RealType>(0.34458),   // p
+      static_cast<RealType>(1-0.34458),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-1.0)),     // x
+      static_cast<RealType>(1-0.34458),   // p
+      static_cast<RealType>(0.34458),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-9.0)),     // x
+      static_cast<RealType>(0.11507),   // p
+      static_cast<RealType>(1-0.11507),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(3.0)),     // x
+      static_cast<RealType>(1-0.11507),   // p
+      static_cast<RealType>(0.11507),   // q
+      tolerance);
+
+   //
+   // Tests for PDF
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(), static_cast<RealType>(1)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(3), exp(static_cast<RealType>(3))),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L) / exp(static_cast<RealType>(3)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(3, 5), exp(static_cast<RealType>(3))),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / (5 * exp(static_cast<RealType>(3)))),
+      tolerance);
+   //
+   // Spot checks for location = -5, scale = 6,
+   // use relation to normal to test:
+   //
+   for(RealType x = -15; x < 5; x += 0.125)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(lognormal_distribution<RealType>(-5, 6), exp(x)),
+         pdf(boost::math::normal_distribution<RealType>(-5, 6), x) / exp(x),
+         tolerance);
+   }
+
+   //
+   // These test values were obtained by punching numbers into
+   // a calculator, using the formulas at http://mathworld.wolfram.com/LogNormalDistribution.html
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   lognormal_distribution<RealType> dist(8, 3);
+   RealType x = static_cast<RealType>(0.125);
+
+   BOOST_MATH_STD_USING // ADL of std math lib names.
+
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(268337.28652087445695647967378715L), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(583389737628117.49553037857325892L), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+    standard_deviation(dist)
+    , static_cast<RealType>(24153462.228594009489719473727471L), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+    hazard(dist, x)
+    , pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+    chf(dist, x)
+    , -log(cdf(complement(dist, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+    coefficient_of_variation(dist)
+    , standard_deviation(dist) / mean(dist), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE(
+    mode(dist)
+    , static_cast<RealType>(0.36787944117144232159552377016146L), tolerance);
+
+   BOOST_CHECK_CLOSE(
+    median(dist)
+    , static_cast<RealType>(exp(dist.location())), tolerance);
+
+   BOOST_CHECK_CLOSE(
+    median(dist),
+    quantile(dist, static_cast<RealType>(0.5)), tolerance);
+
+   // skewness:
+   BOOST_CHECK_CLOSE(
+    skewness(dist)
+    , static_cast<RealType>(729551.38304660255658441529235697L), tolerance);
+   // kertosis:
+   BOOST_CHECK_CLOSE(
+    kurtosis(dist)
+    , static_cast<RealType>(4312295840576303.2363383232038251L), tolerance);
+   // kertosis excess:
+   BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist)
+    , static_cast<RealType>(4312295840576300.2363383232038251L), tolerance);
+
+   BOOST_CHECK_CLOSE(
+    range(dist).first
+    , static_cast<RealType>(0), tolerance);
+
+   //
+   // Special cases:
+   //
+   BOOST_CHECK(pdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(complement(dist, 0)) == 1);
+   BOOST_CHECK(quantile(dist, 0) == 0);
+   BOOST_CHECK(quantile(complement(dist, 1)) == 0);
+
+   //
+   // Error checks:
+   //
+   BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(2, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 1), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, 0)), std::overflow_error);
+   check_out_of_range<lognormal_distribution<RealType> >(1, 2);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+   // Check that can generate lognormal distribution using the two convenience methods:
+   boost::math::lognormal myf1(1., 2); // Using typedef
+   lognormal_distribution<> myf2(1., 2); // Using default RealType double.
+
+  // Test range and support using double only,
+  // because it supports numeric_limits max for a pseudo-infinity.
+  BOOST_CHECK_EQUAL(range(myf2).first, 0); // range 0 to +infinity
+  BOOST_CHECK_EQUAL(range(myf2).second, (std::numeric_limits<double>::max)());
+  BOOST_CHECK_EQUAL(support(myf2).first, 0); // support 0 to + infinity.
+  BOOST_CHECK_EQUAL(support(myf2).second, (std::numeric_limits<double>::max)());
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+Running 1 test case...
+Tolerance for type float is 0.5 %
+Tolerance for type float is 5.96046e-005 %
+Tolerance for type float is 5.96046e-005 %
+Tolerance for type double is 0.5 %
+Tolerance for type double is 1.11022e-013 %
+Tolerance for type double is 1.11022e-013 %
+Tolerance for type long double is 0.5 %
+Tolerance for type long double is 1.11022e-013 %
+Tolerance for type long double is 1.11022e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 0.5 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+*** No errors detected
+*/
+
+
diff --git a/src/boost/libs/math/test/test_long_double_support.cpp b/src/boost/libs/math/test/test_long_double_support.cpp
new file mode 100644
index 00000000..2175b8e3
--- /dev/null
+++ b/src/boost/libs/math/test/test_long_double_support.cpp
@@ -0,0 +1,364 @@
+// Copyright John Maddock 2009
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <math.h>
+#include <limits.h>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/tools/config.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+   largest_type = "(long\\s+)?double";
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);                 // test function
+}
+
+template <class R, class Proc, class Arg>
+struct simple_binder
+{
+   simple_binder(Proc p, Arg a) : m_proc(p), m_arg(a) {}
+   R operator()(R arg) { return m_proc(arg, m_arg); }
+   operator bool() { return m_proc ? true : false; }
+private:
+   Proc m_proc;
+   Arg m_arg;
+};
+
+template <class A, class Proc>
+void do_test_std_function(const A& data, const char* type_name, const char* function_name, const char* test_name, Proc proc, const char* inv_function_name = 0, Proc inv_proc = 0)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+   typedef typename A::value_type row_type;
+   typedef typename row_type::value_type value_type;
+
+   boost::math::tools::test_result<value_type> result;
+
+   //
+   // test against data:
+   //
+   result = boost::math::tools::test(
+      data,
+      bind_func<value_type>(proc, 0),
+      extract_result<value_type>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, function_name, test_name);
+   if(inv_proc)
+   {
+      result = boost::math::tools::test(
+         data,
+         bind_func<value_type>(inv_proc, 1),
+         extract_result<value_type>(0));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, inv_function_name, test_name);
+   }
+}
+
+template <class A>
+void do_test_std_function_2(const A& data, const char* type_name, const char* function_name, const char* test_name, long double(*proc)(long double, long double), const char* inv_function_name = 0, long double(*inv_proc)(long double, long double) = 0)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+   typedef typename A::value_type row_type;
+   typedef typename row_type::value_type value_type;
+
+   boost::math::tools::test_result<value_type> result;
+
+   //
+   // test against data:
+   //
+   result = boost::math::tools::test(
+      data,
+      bind_func<value_type>(proc, 0, 1),
+      extract_result<value_type>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, function_name, test_name);
+   if(inv_proc)
+   {
+      result = boost::math::tools::test(
+         data,
+         bind_func<value_type>(inv_proc, 2, 1),
+         extract_result<value_type>(0));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, inv_function_name, test_name);
+   }
+}
+
+long double std_inv_pow(long double a, long double b)
+{
+   return std::pow(a, 1 / b);
+}
+long double std_inv_powl(long double a, long double b)
+{
+   return ::powl(a, 1 / b);
+}
+
+
+void test_spots()
+{
+   // Basic sanity checks.
+   // Test data taken from functions.wolfram.com
+   long double (*unary_proc)(long double);
+   long double (*inv_unary_proc)(long double);
+   long double(*binary_proc)(long double, long double);
+   long double(*inv_binary_proc)(long double, long double);
+   //
+   // COS:
+   //
+   boost::array<boost::array<long double, 2>, 4> cos_test_data = {{
+      {{ 0, 1, }},
+      {{ 0.125L, 0.992197667229329053149096907788250869543327304736601263468910L, }},
+      {{ 1.125L, 0.431176516798666176551969042921689826840697850225767471037314L, }},
+      {{ 1.75L, -0.178246055649492090382676943942631358969920851291548272886063L, }},
+   }};
+   unary_proc = std::cos;
+   inv_unary_proc = std::acos;
+   do_test_std_function(cos_test_data, "long double", "std::cos", "Mathematica data", unary_proc, "std::acos", inv_unary_proc);
+   unary_proc = ::cosl;
+   inv_unary_proc = ::acosl;
+   do_test_std_function(cos_test_data, "long double", "::cosl", "Mathematica data", unary_proc, "::acosl", inv_unary_proc);
+   //
+   // SIN:
+   //
+   boost::array<boost::array<long double, 2>, 6> sin_test_data = {{
+      {{ 0, 0, }},
+      {{ 0.125L, 0.124674733385227689957442708712108467587834905641679257885515L, }},
+      {{ -0.125L, -0.124674733385227689957442708712108467587834905641679257885515L, }},
+      {{ 1.125L, 0.902267594099095162918416128654829100758989018716070814389152L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e-500L, 1e-500L, }},
+      {{ 1e-1500L, 1e-1500L, }},
+#else
+      {{ 0, 0, }},
+      {{ 0, 0, }},
+#endif
+   }};
+   unary_proc = std::sin;
+   inv_unary_proc = std::asin;
+   do_test_std_function(sin_test_data, "long double", "std::sin", "Mathematica data", unary_proc, "std::asin", inv_unary_proc);
+   unary_proc = ::sinl;
+   inv_unary_proc = ::asinl;
+   do_test_std_function(sin_test_data, "long double", "::sinl", "Mathematica data", unary_proc, "::asinl", inv_unary_proc);
+   //
+   // TAN:
+   //
+   boost::array<boost::array<long double, 2>, 6> tan_test_data = {{
+      {{ 0, 0, }},
+      {{ 0.125L, 0.125655136575130967792678218629774000758665763892225542668867L, }},
+      {{ -0.125L, -0.125655136575130967792678218629774000758665763892225542668867L, }},
+      {{ 1.125L, 2.09257127637217900442373398123488678225994171614872057291399L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e-500L, 1e-500L, }},
+      {{ 1e-1500L, 1e-1500L, }},
+#else
+      {{ 0, 0, }},
+      {{ 0, 0, }},
+#endif
+   }};
+   unary_proc = std::tan;
+   inv_unary_proc = std::atan;
+   do_test_std_function(tan_test_data, "long double", "std::tan", "Mathematica data", unary_proc, "std::atan", inv_unary_proc);
+   unary_proc = ::tanl;
+   inv_unary_proc = ::atanl;
+   do_test_std_function(tan_test_data, "long double", "::tanl", "Mathematica data", unary_proc, "::atanl", inv_unary_proc);
+   //
+   // EXP:
+   //
+   boost::array<boost::array<long double, 2>, 16> exp_test_data = {{
+      {{ 0, 1, }},
+      {{ 0.125L, 1.13314845306682631682900722781179387256550313174518162591282L, }},
+      {{ -0.125L, 0.882496902584595402864892143229050736222004824990650741770309L, }},
+      {{ 1.125L, 3.08021684891803124500466787877703957705899375982613074033239L, }},
+      {{ 4.60517018598809136803598290936872841520220297725754595206666L, 100L, }},
+      {{ 23.0258509299404568401799145468436420760110148862877297603333L, 1e10L, }},
+      {{ 230.258509299404568401799145468436420760110148862877297603333L, 1e100L, }},
+      {{ -230.258509299404568401799145468436420760110148862877297603333L, 1e-100L, }},
+      {{ -23.0258509299404568401799145468436420760110148862877297603333L, 1e-10L, }},
+      {{ -4.60517018598809136803598290936872841520220297725754595206666L, 0.01L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1151.5L, 1.23054049904018215810329849694e+500L, }},
+      {{ 2302.5, 9.1842687219959504902800771504e+999L, }},
+      {{ 11351.5, 7.83089362896060182981072520459e+4929L, }},
+      {{ -11351.5, 1.27699346636729947157842192471e-4930L, }},
+      {{ -2302.5, 1.0888183156107362404277325218e-1000L, }},
+      {{ -1151.5, 8.12651026747999724274336150307e-501L, }},
+#else
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+#endif
+   }};
+   unary_proc = std::exp;
+   inv_unary_proc = std::log;
+   do_test_std_function(exp_test_data, "long double", "std::exp", "Mathematica data", unary_proc, "std::log", inv_unary_proc);
+   unary_proc = ::expl;
+   inv_unary_proc = ::logl;
+   do_test_std_function(exp_test_data, "long double", "::expl", "Mathematica data", unary_proc, "::logl", inv_unary_proc);
+   //
+   // SQRT:
+   //
+   boost::array<boost::array<long double, 2>, 8> sqrt_test_data = {{
+      {{ 1, 1, }},
+      {{ 0.125L, 0.353553390593273762200422181052424519642417968844237018294170L, }},
+      {{ 1.125L, 1.06066017177982128660126654315727355892725390653271105488251L, }},
+      {{ 1e10L, 1e5L, }},
+      {{ 1e100L, 1e50L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e500L, 1e250L, }},
+      {{ 1e1000L, 1e500L, }},
+      {{ 1e4930L, 1e2465L }},
+#else
+      {{ 1, 1, }},
+      {{ 1, 1, }},
+      {{ 1, 1, }},
+#endif
+   }};
+   unary_proc = std::sqrt;
+   inv_unary_proc = 0;
+   do_test_std_function(sqrt_test_data, "long double", "std::sqrt", "Mathematica data", unary_proc, "", inv_unary_proc);
+   unary_proc = ::sqrtl;
+   do_test_std_function(sqrt_test_data, "long double", "::sqrtl", "Mathematica data", unary_proc, "", inv_unary_proc);
+   //
+   // POW:
+   //
+   boost::array<boost::array<long double, 3>, 40> pow_test_data = { {
+      {{ 0.66666666666666666666666666666666667L, 10.5L, 0.014159299884333205600738476477156445L }}, {{ 0.40000000000000000000000000000000000L, 10.5L, 0.000066317769195774370528601435944941645L }}, {{ 0.28571428571428571428571428571428571L, 10.5L, 1.9376955162420093656912416026996235e-6L }}, {{ 0.22222222222222222222222222222222222L, 10.5L, 1.3844223610486906136767179806965939e-7L }}, {{ 0.18181818181818181818181818181818182L, 10.5L, 1.6834172004858801495594195366987548e-8L }}, {{ 0.15384615384615384615384615384615385L, 10.5L, 2.9134646649328940997378075111892189e-9L }}, {{ 0.13333333333333333333333333333333333L, 10.5L, 6.4842049648996264411393424327833257e-10L }}, {{ 0.11764705882352941176470588235294118L, 10.5L, 1.7422131202561313794251961087695707e-10L }}, {{ 0.10526315789473684210526315789473684L, 10.5L, 5.4187878014379968862785381990028068e-11L }}, {{ 0.095238095238095238095238095238095238L, 10.5L, 1.8945774321493250860060262734435905e-11L }}, {{ 0.086956521739130434782608695652173913L, 10.5L, 7.2890793204362496660639940633060965e-12L }}, {{ 0.080000000000000000000000000000000000L, 10.5L, 3.0370004999760496924513885300263083e-12L }}, {{ 0.074074074074074074074074074074074074L, 10.5L, 1.3536158492499429228631254734846878e-12L }}, {{ 0.068965517241379310344827586206896552L, 10.5L, 6.3919883760311690617057708564070401e-13L }}, {{ 0.064516129032258064516129032258064516L, 10.5L, 3.1733441149827305559623332316304054e-13L }}, {{ 0.060606060606060606060606060606060606L, 10.5L, 1.6459573809191842515197160159747426e-13L }}, {{ 0.057142857142857142857142857142857143L, 10.5L, 8.8736130949400182344750668262188042e-14L }}, {{ 0.054054054054054054054054054054054054L, 10.5L, 4.9510447505703867036532738058014010e-14L }}, {{ 0.051282051282051282051282051282051282L, 10.5L, 2.8486335222839832002073312496999392e-14L }}, {{ 0.048780487804878048780487804878048780L, 10.5L, 1.6849400716758403447644197639952420e-14L }},
+      {{ 1.5000000000000000000000000000000000L, 10.5L, 70.624960850392521250220423499662198L }}, {{ 2.5000000000000000000000000000000000L, 10.5L, 15078.914929239174518579929086841195L }}, {{ 3.5000000000000000000000000000000000L, 10.5L, 516076.95410237226543172579761452715L }}, {{ 4.5000000000000000000000000000000000L, 10.5L, 7.2232291830544165404082939248515132e6L }}, {{ 5.5000000000000000000000000000000000L, 10.5L, 5.9402981014532387277725120300837238e7L }}, {{ 6.5000000000000000000000000000000000L, 10.5L, 3.4323395510377093368928553895198363e8L }}, {{ 7.5000000000000000000000000000000000L, 10.5L, 1.5422091149388577381859115936567576e9L }}, {{ 8.5000000000000000000000000000000000L, 10.5L, 5.7398259051853831024096483301864439e9L }}, {{ 9.5000000000000000000000000000000000L, 10.5L, 1.8454311861679240697429074147628415e10L }}, {{ 10.500000000000000000000000000000000L, 10.5L, 5.2782218505872232242456985697751839e10L }}, {{ 11.500000000000000000000000000000000L, 10.5L, 1.3719153764678064136017469971586606e11L }}, {{ 12.500000000000000000000000000000000L, 10.5L, 3.2927225399135962333569506281281311e11L }}, {{ 13.500000000000000000000000000000000L, 10.5L, 7.3876203544315301346698877141070794e11L }}, {{ 14.500000000000000000000000000000000L, 10.5L, 1.5644584144580486482323422555543492e12L }}, {{ 15.500000000000000000000000000000000L, 10.5L, 3.1512497975828317415327223169183800e12L }}, {{ 16.500000000000000000000000000000000L, 10.5L, 6.0754914531356236794145301221027031e12L }}, {{ 17.500000000000000000000000000000000L, 10.5L, 1.1269366708925227994916228749680770e13L }}, {{ 18.500000000000000000000000000000000L, 10.5L, 2.0197757248806823614685377151546893e13L }}, {{ 19.500000000000000000000000000000000L, 10.5L, 3.5104550732037231618759085175272827e13L }}, {{ 20.500000000000000000000000000000000L, 10.5L, 5.9349291812224551314681152356459565e13L }},
+   } };
+   binary_proc = std::pow;
+   inv_binary_proc = std_inv_pow;
+   do_test_std_function_2(pow_test_data, "long double", "std::pow", "Mathematica data", binary_proc, "std::pow", inv_binary_proc);
+   binary_proc = ::powl;
+   inv_binary_proc = std_inv_powl;
+   do_test_std_function_2(pow_test_data, "long double", "::powl", "Mathematica data", binary_proc, "::pow", inv_binary_proc);
+   //
+   // LDEXP:
+   //
+   boost::array<boost::array<long double, 2>, 20> ld_data = { {
+      {{ 0.66666666666666666666666666666666667L, 8.4510040015215293433113547025066667e29L }}, {{ 0.40000000000000000000000000000000000L, 5.0706024009129176059868128215040000e29L }}, {{ 0.28571428571428571428571428571428571L, 3.6218588577949411471334377296457143e29L }}, {{ 0.22222222222222222222222222222222222L, 2.8170013338405097811037849008355556e29L }}, {{ 0.18181818181818181818181818181818182L, 2.3048192731422352754485512825018182e29L }}, {{ 0.15384615384615384615384615384615385L, 1.9502316926588144638410818544246154e29L }}, {{ 0.13333333333333333333333333333333333L, 1.6902008003043058686622709405013333e29L }}, {{ 0.11764705882352941176470588235294118L, 1.4913536473273287076431802416188235e29L }}, {{ 0.10526315789473684210526315789473684L, 1.3343690528718204226281086372378947e29L }}, {{ 0.095238095238095238095238095238095238L, 1.2072862859316470490444792432152381e29L }}, {{ 0.086956521739130434782608695652173913L, 1.1023048697636777404319158307617391e29L }}, {{ 0.080000000000000000000000000000000000L, 1.0141204801825835211973625643008000e29L }}, {{ 0.074074074074074074074074074074074074L, 9.3900044461350326036792830027851852e28L }}, {{ 0.068965517241379310344827586206896552L, 8.7424179326084786310117462439724138e28L }}, {{ 0.064516129032258064516129032258064516L, 8.1783909692143832354626013250064516e28L }}, {{ 0.060606060606060606060606060606060606L, 7.6827309104741175848285042750060606e28L }}, {{ 0.057142857142857142857142857142857143L, 7.2437177155898822942668754592914286e28L }}, {{ 0.054054054054054054054054054054054054L, 6.8521654066390778459281254344648649e28L }}, {{ 0.051282051282051282051282051282051282L, 6.5007723088627148794702728480820513e28L }}, {{ 0.048780487804878048780487804878048780L, 6.1836614645279482999839180750048780e28L }}
+   }};
+   using namespace boost;
+   long double(*pld)(long double, int) = std::ldexp;
+   do_test_std_function(ld_data, "long double", "std::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "std::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   pld = ::ldexpl;
+   do_test_std_function(ld_data, "long double", "::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   //
+   // Sinh:
+   //
+   boost::array<boost::array<long double, 2>, 20> sinh_data = { {
+      {{ 1.0L, 1.1752011936438014568823818505956008L }}, {{ 2.0L, 3.6268604078470187676682139828012617L }}, {{ 3.0L, 10.017874927409901898974593619465828L }}, {{ 4.0L, 27.289917197127752448908271590793819L }}, {{ 5.0L, 74.203210577788758977009471996064566L }}, {{ 6.0L, 201.71315737027922812498206768797873L }}, {{ 7.0L, 548.31612327324652237375611757601851L }}, {{ 8.0L, 1490.4788257895501861158766390318814L }}, {{ 9.0L, 4051.5419020827899605152235958980346L }}, {{ 10.L, 11013.232874703393377236524554846364L }}, {{ 11.L, 29937.070849248058832540413239811132L }}, {{ 12.L, 81377.395706429854227338497569902237L }}, {{ 13.L, 221206.69600333008695956086081165150L }}, {{ 14.L, 601302.14208197262451506660144189773L }}, {{ 15.L, 1.6345086862359023684906766101516749e6L }}, {{ 16.L, 4.4430552602538800507941522408334683e6L }}, {{ 17.L, 1.2077476376787628407699123664359614e7L }}, {{ 18.L, 3.2829984568665247954403379273215799e7L }}, {{ 19.L, 8.9241150481593627621056798125727582e7L }}, {{ 20.L, 2.4258259770489513795397660405149137e8L }},
+   } };
+   unary_proc = &std::sinh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::asinh;
+#else
+   inv_unary_proc = 0;
+#endif
+   do_test_std_function(sinh_data, "long double", "std::sinh", "Mathematica data", unary_proc, "std::asinh", inv_unary_proc);
+   unary_proc = ::sinhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::asinhl;
+#endif
+   do_test_std_function(sinh_data, "long double", "::sinhl", "Mathematica data", unary_proc, "::asinhl", inv_unary_proc);
+   //
+   // Cosh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> cosh_data = { {
+      {{ 1.0L, 1.5430806348152437784779056207570617L }}, {{ 2.0L, 3.7621956910836314595622134777737461L }}, {{ 3.0L, 10.067661995777765841953936035115890L }}, {{ 4.0L, 27.308232836016486629201989612067060L }}, {{ 5.0L, 74.209948524787844444106108044487714L }}, {{ 6.0L, 201.71563612245589448340511285540955L }}, {{ 7.0L, 548.31703515521207688996412071210292L }}, {{ 8.0L, 1490.4791612521780886277154604210072L }}, {{ 9.0L, 4051.5420254925940471947730935347253L }}, {{ 10.L, 11013.232920103323139721376090437880L }}, {{ 11.L, 29937.070865949759622786072552446649L }}, {{ 12.L, 81377.395712574066580666707328584546L }}, {{ 13.L, 221206.69600559041636654191513743678L }}, {{ 14.L, 601302.14208280415323417016932596172L }}, {{ 15.L, 1.6345086862362082708111784359400464e6L }}, {{ 16.L, 4.4430552602539925859688714999479821e6L }}, {{ 17.L, 1.2077476376787669807076311516026210e7L }}, {{ 18.L, 3.2829984568665263184383123985844235e7L }}, {{ 19.L, 8.9241150481593633223853235662995122e7L }}, {{ 20.L, 2.4258259770489514001513022649004919e8L }},
+   } };
+   unary_proc = &std::cosh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::acosh;
+#endif
+   do_test_std_function(cosh_data, "long double", "std::cosh", "Mathematica data", unary_proc, "std::acosh", inv_unary_proc);
+   unary_proc = ::coshl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::acoshl;
+#endif
+   do_test_std_function(cosh_data, "long double", "::cosh", "Mathematica data", unary_proc, "::acosh", inv_unary_proc);
+   //
+   // Tanh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> tanh_data = { {
+      {{ 2.0000000000000000000000000000000000L, 0.96402758007581688394641372410092315L }}, {{ 1.0000000000000000000000000000000000L, 0.76159415595576488811945828260479359L }}, {{ 0.66666666666666666666666666666666667L, 0.58278294534791012006763998724863620L }}, {{ 0.50000000000000000000000000000000000L, 0.46211715726000975850231848364367255L }}, {{ 0.40000000000000000000000000000000000L, 0.37994896225522488526774812389687331L }}, {{ 0.33333333333333333333333333333333333L, 0.32151273753163434471940622242520647L }}, {{ 0.28571428571428571428571428571428571L, 0.27818549032570244047180008724146611L }}, {{ 0.25000000000000000000000000000000000L, 0.24491866240370912927780113149101696L }}, {{ 0.22222222222222222222222222222222222L, 0.21863508368712133408473136585229335L }}, {{ 0.20000000000000000000000000000000000L, 0.19737532022490400073815731881101567L }}, {{ 0.18181818181818181818181818181818182L, 0.17984081852510791219962261245781186L }}, {{ 0.16666666666666666666666666666666667L, 0.16514041292462935373278922792245912L }}, {{ 0.15384615384615384615384615384615385L, 0.15264375981490485028417961210708858L }}, {{ 0.14285714285714285714285714285714286L, 0.14189319376693254602300070386766884L }}, {{ 0.13333333333333333333333333333333333L, 0.13254878839087838732054090217452509L }}, {{ 0.12500000000000000000000000000000000L, 0.12435300177159620805464727580589271L }}, {{ 0.11764705882352941176470588235294118L, 0.11710726941545656349019174731833940L }}, {{ 0.11111111111111111111111111111111111L, 0.11065611052473799138171921474515056L }}, {{ 0.10526315789473684210526315789473684L, 0.10487608974842188468874887218357955L }}, {{ 0.10000000000000000000000000000000000L, 0.099667994624955817118305083678352184L }}
+   } };
+   unary_proc = &std::tanh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::atanh;
+#endif
+   do_test_std_function(tanh_data, "long double", "std::tanh", "Mathematica data", unary_proc, "std::atanh", inv_unary_proc);
+   unary_proc = ::tanhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::atanhl;
+#endif
+   do_test_std_function(tanh_data, "long double", "::tanh", "Mathematica data", unary_proc, "::atanh", inv_unary_proc);
+   //
+   // ABS, FABS:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> abs_data = { {
+      {{ -2.0000000000000000000000000000000000L, 2.0000000000000000000000000000000000L }}, {{ -1.0000000000000000000000000000000000L, 1.0000000000000000000000000000000000L }}, {{ -0.66666666666666666666666666666666667L, 0.66666666666666666666666666666666667L }}, {{ -0.50000000000000000000000000000000000L, 0.50000000000000000000000000000000000L }}, {{ -0.40000000000000000000000000000000000L, 0.40000000000000000000000000000000000L }}, {{ -0.33333333333333333333333333333333333L, 0.33333333333333333333333333333333333L }}, {{ -0.28571428571428571428571428571428571L, 0.28571428571428571428571428571428571L }}, {{ -0.25000000000000000000000000000000000L, 0.25000000000000000000000000000000000L }}, {{ -0.22222222222222222222222222222222222L, 0.22222222222222222222222222222222222L }}, {{ -0.20000000000000000000000000000000000L, 0.20000000000000000000000000000000000L }}, {{ -0.18181818181818181818181818181818182L, 0.18181818181818181818181818181818182L }}, {{ -0.16666666666666666666666666666666667L, 0.16666666666666666666666666666666667L }}, {{ -0.15384615384615384615384615384615385L, 0.15384615384615384615384615384615385L }}, {{ -0.14285714285714285714285714285714286L, 0.14285714285714285714285714285714286L }}, {{ -0.13333333333333333333333333333333333L, 0.13333333333333333333333333333333333L }}, {{ -0.12500000000000000000000000000000000L, 0.12500000000000000000000000000000000L }}, {{ -0.11764705882352941176470588235294118L, 0.11764705882352941176470588235294118L }}, {{ -0.11111111111111111111111111111111111L, 0.11111111111111111111111111111111111L }}, {{ -0.10526315789473684210526315789473684L, 0.10526315789473684210526315789473684L }}, {{ -0.10000000000000000000000000000000000L, 0.10000000000000000000000000000000000L }}
+   } };
+   unary_proc = &std::abs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::abs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = &std::fabs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::fabs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = ::fabsl;
+   do_test_std_function(abs_data, "long double", "::fabs", "Mathematica data", unary_proc, "::abs", inv_unary_proc);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   std::cout << "Running tests with BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS "
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      "defined."
+#else
+      "not defined."
+#endif
+      << std::endl;
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(); // Test long double.
+
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_math_fwd.cpp b/src/boost/libs/math/test/test_math_fwd.cpp
new file mode 100644
index 00000000..dd9bafa1
--- /dev/null
+++ b/src/boost/libs/math/test/test_math_fwd.cpp
@@ -0,0 +1,62 @@
+// test_math_fwd.cpp
+
+//  Copyright John Maddock 2010.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity check that special functions forward declaration header
+// <boost/math/special_functions/math_fwd.hpp>
+// and distributions forward declarations header
+// <boost/math/distributions/fwd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/special_functions/beta.hpp>
+// using boost::math::beta;
+
+#include <boost/math/distributions/fwd.hpp>
+#include <boost/math/distributions/normal.hpp>
+// using boost::math::normal_distribution;
+
+int main()
+{
+  // Special functions.
+  // Call functions, discarding any result.
+  using boost::math::beta;
+  beta(1.,2.);
+
+  // Distributions.
+  using boost::math::normal_distribution;
+  using boost::math::normal;
+
+  // Construct some distributions.
+  normal myf1(1., 2); // Using typedef.
+  normal n01; // Use default values for mean and standard deviation).
+  normal_distribution<> n01d(1., 2); // Using default RealType double.
+  normal_distribution<float> n01f; // Using float type, and defaults.
+  normal_distribution<float> myf22(0.f, 2.f); // Using explicit RealType float.
+
+  return 0;
+}
+
+/*
+
+VS2010
+
+------ Build started: Project: test_math_fwd, Configuration: Debug Win32 ------
+  test_math_fwd.cpp
+  test_math_fwd.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_math_fwd.exe
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+------ Build started: Project: test_math_fwd, Configuration: Release Win32 ------
+  test_math_fwd.cpp
+  Generating code
+  Finished generating code
+  test_math_fwd.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_math_fwd.exe
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_minima.cpp b/src/boost/libs/math/test/test_minima.cpp
new file mode 100644
index 00000000..80314b9c
--- /dev/null
+++ b/src/boost/libs/math/test/test_minima.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/tools/minima.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <iostream>
+#include <iomanip>
+
+template <class T>
+struct poly_test
+{
+   // minima is at (3,4):
+   T operator()(const T& v)
+   {
+      T a = v - 3;
+      return 3 * a * a + 4;
+   }
+};
+
+template <class T>
+void test_minima(T, const char* /* name */)
+{
+   std::pair<T, T> m = boost::math::tools::brent_find_minima(poly_test<T>(), T(-10), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(3), T(0.001));
+   BOOST_CHECK_CLOSE(m.second, T(4), T(0.001));
+
+   T (*fp)(T);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   fp = boost::math::lgamma<T>;
+#else
+   fp = boost::math::lgamma;
+#endif
+
+   m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   fp = boost::math::tgamma<T>;
+#else
+   fp = boost::math::tgamma;
+#endif
+   m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_minima(0.1f, "float");
+   test_minima(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_minima(0.1L, "long double");
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_nc_beta.cpp b/src/boost/libs/math/test/test_nc_beta.cpp
new file mode 100644
index 00000000..81b80fa1
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_beta.cpp
@@ -0,0 +1,300 @@
+// test_nc_beta.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This must appear *before* any #includes, and precludes pch usage:
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_beta.hpp> // for chi_squared_distribution
+#include <boost/math/distributions/poisson.hpp> // for poisson_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "test_ncbeta_hooks.hpp"
+#include "table_type.hpp"
+#include "test_nc_beta.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::tools::digits<long double>() == 64)
+   {
+      //
+      // Allow a small amount of error leakage from long double to double:
+      //
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 5, 5);                   // test function
+   }
+
+   if(boost::math::tools::digits<long double>() == 64)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*medium[^|]*",               // test data group
+         "[^|]*", 1200, 500);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 40000, 6000);            // test function
+   }
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1500, 500);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 30000, 4000);             // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 20000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class RealType>
+RealType naive_pdf(RealType a, RealType b, RealType lam, RealType x)
+{
+   using namespace boost::math;
+
+   RealType term = pdf(poisson_distribution<RealType>(lam/2), 0)
+      * ibeta_derivative(a, b, x);
+   RealType sum = term;
+
+   int i = 1;
+   while(term / sum > tools::epsilon<RealType>())
+   {
+      term = pdf(poisson_distribution<RealType>(lam/2), i)
+      * ibeta_derivative(a + i, b, x);
+      ++i;
+      sum += term;
+   }
+   return sum;
+}
+
+template <class RealType>
+void test_spot(
+     RealType a,     // alpha
+     RealType b,     // beta
+     RealType ncp,   // non-centrality param
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType D,     // PDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::non_central_beta_distribution<RealType> dist(a, b, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   //
+   // Sanity checking using the naive PDF calculation above fails at
+   // float precision:
+   //
+   if(!boost::is_same<float, RealType>::value)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(dist, cs), naive_pdf(dist.alpha(), dist.beta(), ncp, cs), tol);
+   }
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), D, tol);
+
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol * 10);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>() * 100,
+      (RealType)1e-6) * 100;
+   RealType abs_tolerance = boost::math::tools::epsilon<RealType>() * 100;
+
+   cout << "Tolerance = " << tolerance << "%." << endl;
+
+   //
+   // Spot tests use values computed by the R statistical
+   // package and the pbeta and dbeta functions:
+   //
+   test_spot(
+     RealType(2),                   // alpha
+     RealType(5),                   // beta
+     RealType(1),                   // non-centrality param
+     RealType(0.25),                // Chi Square statistic
+     RealType(0.3658349),           // CDF
+     RealType(1-0.3658349),         // Complement of CDF
+     RealType(2.184465),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(20),                  // alpha
+     RealType(15),                  // beta
+     RealType(35),                  // non-centrality param
+     RealType(0.75),                // Chi Square statistic
+     RealType(0.6994175),           // CDF
+     RealType(1-0.6994175),         // Complement of CDF
+     RealType(5.576146),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(3),                   // beta
+     RealType(63),                  // non-centrality param
+     RealType(0.95),                // Chi Square statistic
+     RealType(0.03529306),          // CDF
+     RealType(1-0.03529306),        // Complement of CDF
+     RealType(3.637894),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(0.25),                // alpha
+     RealType(0.75),                // beta
+     RealType(150),                 // non-centrality param
+     RealType(0.975),               // Chi Square statistic
+     RealType(0.09752216),          // CDF
+     RealType(1-0.09752216),        // Complement of CDF
+     RealType(8.020935),            // PDF
+     RealType(tolerance));
+
+   BOOST_MATH_STD_USING
+   boost::math::non_central_beta_distribution<RealType> dist(100, 3, 63);
+   BOOST_CHECK_CLOSE(mean(dist), RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) * exp(-RealType(31.5)) * 100 / 103, tolerance);
+   // Variance only guarantees small absolute error:
+   BOOST_CHECK_SMALL(variance(dist) 
+      - static_cast<RealType>(RealType(4.85592267707818899235900237275021938334418424134218087127572e13L)
+      * exp(RealType(-31.5)) * 100 * 101 / (103 * 104) - 
+      RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) * RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) 
+      * exp(RealType(-63)) * 10000 / (103 * 103)), abs_tolerance);
+   BOOST_MATH_CHECK_THROW(skewness(dist), boost::math::evaluation_error);
+   BOOST_MATH_CHECK_THROW(kurtosis(dist), boost::math::evaluation_error);
+   BOOST_MATH_CHECK_THROW(kurtosis_excess(dist), boost::math::evaluation_error);
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+    expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_nc_beta.hpp b/src/boost/libs/math/test/test_nc_beta.hpp
new file mode 100644
index 00000000..3ba983ad
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_beta.hpp
@@ -0,0 +1,195 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#endif
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_beta.hpp> 
+#include <boost/math/distributions/poisson.hpp> 
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class T>
+T nc_beta_cdf(T a, T b, T nc, T x)
+{
+#ifdef NC_BETA_CDF_FUNCTION_TO_TEST
+   return NC_BETA_CDF_FUNCTION_TO_TEST(a, b, nc, x);
+#else
+   return cdf(boost::math::non_central_beta_distribution<T>(a, b, nc), x);
+#endif
+}
+
+template <class T>
+T nc_beta_ccdf(T a, T b, T nc, T x)
+{
+#ifdef NC_BETA_CCDF_FUNCTION_TO_TEST
+   return NC_BETA_CCDF_FUNCTION_TO_TEST(a, b, nc, x);
+#else
+   return cdf(complement(boost::math::non_central_beta_distribution<T>(a, b, nc), x));
+#endif
+}
+
+template <typename Real, typename T>
+void do_test_nc_chi_squared(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+   value_type(*fp1)(value_type, value_type, value_type, value_type) = nc_beta_cdf;
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_BETA_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2, 3),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central beta CDF", test);
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_BETA_CCDF_FUNCTION_TO_TEST))
+   fp1 = nc_beta_ccdf;
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2, 3),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central beta CDF complement", test);
+#endif
+   std::cout << std::endl;
+
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // Test case 493 fails at float precision: not enough bits to get
+      // us back where we started:
+      //
+      if((i == 493) && boost::is_same<float, value_type>::value)
+         continue;
+
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][4]));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][4]);
+         value_type pt = data[i][3];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][5] == 0)
+      {
+         BOOST_CHECK(1 == quantile(complement(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][5])));
+      }
+      else if(data[i][5] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][5]));
+         value_type pt = data[i][3];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+         value_type m = mode(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]));
+         if((m == 1) || (m == 0))
+            break;
+         value_type p = pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m);
+         if(m * (1 + sqrt(precision) * 10) < 1)
+         {
+            BOOST_CHECK_EX(pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m * (1 + sqrt(precision) * 10)) <= p, i);
+         }
+         if(m * (1 - sqrt(precision)) * 10 > boost::math::tools::min_value<value_type>())
+         {
+            BOOST_CHECK_EX(pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m * (1 - sqrt(precision)) * 10) <= p, i);
+         }
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#include "ncbeta.ipp"
+   do_test_nc_chi_squared<T>(ncbeta, type_name, "Non Central Beta, medium parameters");
+   quantile_sanity_check<T>(ncbeta, type_name, "Non Central Beta, medium parameters");
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#include "ncbeta_big.ipp"
+   do_test_nc_chi_squared<T>(ncbeta_big, type_name, "Non Central Beta, large parameters");
+   // Takes too long to run:
+   // quantile_sanity_check(ncbeta_big, type_name, "Non Central Beta, large parameters");
+#endif
+}
diff --git a/src/boost/libs/math/test/test_nc_chi_squared.cpp b/src/boost/libs/math/test/test_nc_chi_squared.cpp
new file mode 100644
index 00000000..cfebb236
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_chi_squared.cpp
@@ -0,0 +1,154 @@
+// test_nc_chi_squared.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_chi_squared.hpp> // for chi_squared_distribution
+#include <boost/math/special_functions/cbrt.hpp> // for chi_squared_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "test_nccs_hooks.hpp"
+#include "table_type.hpp"
+#include "test_nc_chi_squared.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 550, 100);                  // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 350, 100);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 17000, 3000);                  // test function
+
+   //
+   // Allow some long double error to creep into
+   // the double results:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "double",                         // test type(s)
+      "[^|]*",                   // test data group
+      "[^|]*", 3, 2);                  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
diff --git a/src/boost/libs/math/test/test_nc_chi_squared.hpp b/src/boost/libs/math/test/test_nc_chi_squared.hpp
new file mode 100644
index 00000000..ad6e58af
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_chi_squared.hpp
@@ -0,0 +1,444 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <iostream>
+#include <iomanip>
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType lam, RealType x)
+{
+   // Formula direct from
+   // http://mathworld.wolfram.com/NoncentralChi-SquaredDistribution.html
+   // with no simplification:
+   RealType sum, term, prefix(1);
+   RealType eps = boost::math::tools::epsilon<RealType>();
+   term = sum = pdf(boost::math::chi_squared_distribution<RealType>(v), x);
+   for(int i = 1;; ++i)
+   {
+      prefix *= lam / (2 * i);
+      term = prefix * pdf(boost::math::chi_squared_distribution<RealType>(v + 2 * i), x);
+      sum += term;
+      if(term / sum < eps)
+         break;
+   }
+   return sum * exp(-lam / 2);
+}
+
+template <class RealType>
+void test_spot(
+   RealType df,    // Degrees of freedom
+   RealType ncp,   // non-centrality param
+   RealType cs,    // Chi Square statistic
+   RealType P,     // CDF
+   RealType Q,     // Complement of CDF
+   RealType tol)   // Test tolerance
+{
+   boost::math::non_central_chi_squared_distribution<RealType> dist(df, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+#ifndef BOOST_NO_EXCEPTIONS
+   try{
+      BOOST_CHECK_CLOSE(
+         pdf(dist, cs), naive_pdf(dist.degrees_of_freedom(), ncp, cs), tol * 150);
+   }
+   catch(const std::overflow_error&)
+   {
+   }
+#endif
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist, P), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist, Q)), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_degrees_of_freedom(ncp, cs, P), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_degrees_of_freedom(boost::math::complement(ncp, cs, Q)), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_non_centrality(df, cs, P), ncp, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_non_centrality(boost::math::complement(df, cs, Q)), ncp, tol * 10);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+#ifndef ERROR_REPORTING_MODE
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      (RealType)boost::math::tools::epsilon<double>() * 5) * 150;
+   //
+   // At float precision we need to up the tolerance, since
+   // the input values are rounded off to inexact quantities
+   // the results get thrown off by a noticeable amount.
+   //
+   if(boost::math::tools::digits<RealType>() < 50)
+      tolerance *= 50;
+   if(boost::is_floating_point<RealType>::value != 1)
+      tolerance *= 20; // real_concept special functions are less accurate
+
+   std::cout << "Tolerance = " << tolerance << "%." << std::endl;
+
+   using boost::math::chi_squared_distribution;
+   using  ::boost::math::chi_squared;
+   using  ::boost::math::cdf;
+   using  ::boost::math::pdf;
+   //
+   // Test against the data from Table 6 of:
+   //
+   // "Self-Validating Computations of Probabilities for Selected
+   // Central and Noncentral Univariate Probability Functions."
+   // Morgan C. Wang; William J. Kennedy
+   // Journal of the American Statistical Association,
+   // Vol. 89, No. 427. (Sep., 1994), pp. 878-887.
+   //
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(6),   // non centrality
+      static_cast<RealType>(0.00393),   // Chi Squared statistic
+      static_cast<RealType>(0.2498463724258039e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2498463724258039e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(5),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(9.23636),   // Chi Squared statistic
+      static_cast<RealType>(0.8272918751175548),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8272918751175548),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(11),   // degrees of freedom
+      static_cast<RealType>(21),   // non centrality
+      static_cast<RealType>(24.72497),   // Chi Squared statistic
+      static_cast<RealType>(0.2539481822183126),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2539481822183126),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(31),   // degrees of freedom
+      static_cast<RealType>(6),   // non centrality
+      static_cast<RealType>(44.98534),   // Chi Squared statistic
+      static_cast<RealType>(0.8125198785064969),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8125198785064969),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(51),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(38.56038),   // Chi Squared statistic
+      static_cast<RealType>(0.8519497361859118e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8519497361859118e-1),           // Q = 1 - P
+      tolerance * 2);
+   test_spot(
+      static_cast<RealType>(100),   // degrees of freedom
+      static_cast<RealType>(16),   // non centrality
+      static_cast<RealType>(82.35814),   // Chi Squared statistic
+      static_cast<RealType>(0.1184348822747824e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.1184348822747824e-1),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(300),   // degrees of freedom
+      static_cast<RealType>(16),   // non centrality
+      static_cast<RealType>(331.78852),   // Chi Squared statistic
+      static_cast<RealType>(0.7355956710306709),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.7355956710306709),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(500),   // degrees of freedom
+      static_cast<RealType>(21),   // non centrality
+      static_cast<RealType>(459.92612),   // Chi Squared statistic
+      static_cast<RealType>(0.2797023600800060e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2797023600800060e-1),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(0.00016),   // Chi Squared statistic
+      static_cast<RealType>(0.6121428929881423e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.6121428929881423e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(0.00393),   // Chi Squared statistic
+      static_cast<RealType>(0.3033814229753780e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.3033814229753780e-1),           // Q = 1 - P
+      tolerance);
+
+   RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   boost::math::non_central_chi_squared_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(12));
+   RealType x = 7;
+   using namespace std; // ADL of std names.
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(8 + 12), tol2);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(64), tol2);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+      standard_deviation(dist)
+      , static_cast<RealType>(8), tol2);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+      hazard(dist, x)
+      , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+      chf(dist, x)
+      , -log(cdf(complement(dist, x))), tol2);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+      coefficient_of_variation(dist)
+      , standard_deviation(dist) / mean(dist), tol2);
+   // mode:
+   BOOST_CHECK_CLOSE(
+      mode(dist)
+      , static_cast<RealType>(17.184201184730857030170788677340294070728990862663L), sqrt(tolerance * 500));
+   BOOST_CHECK_CLOSE(
+      median(dist),
+      quantile(
+      boost::math::non_central_chi_squared_distribution<RealType>(
+      static_cast<RealType>(8),
+      static_cast<RealType>(12)),
+      static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+   // skewness:
+   BOOST_CHECK_CLOSE(
+      skewness(dist)
+      , static_cast<RealType>(0.6875), tol2);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+      kurtosis(dist)
+      , static_cast<RealType>(3.65625), tol2);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+      kurtosis_excess(dist)
+      , static_cast<RealType>(0.65625), tol2);
+
+   // Error handling checks:
+   check_out_of_range<boost::math::non_central_chi_squared_distribution<RealType> >(1, 1);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(1, -1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_chi_squared_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_chi_squared_distribution<RealType>(1, 1), 2), std::domain_error);
+#endif
+} // template <class RealType>void test_spots(RealType)
+
+template <class T>
+T nccs_cdf(T df, T nc, T x)
+{
+   return cdf(boost::math::non_central_chi_squared_distribution<T>(df, nc), x);
+}
+
+template <class T>
+T nccs_ccdf(T df, T nc, T x)
+{
+   return cdf(complement(boost::math::non_central_chi_squared_distribution<T>(df, nc), x));
+}
+
+template <typename Real, typename T>
+void do_test_nc_chi_squared(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type, value_type, value_type) = NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST;
+#else
+   value_type(*fp1)(value_type, value_type, value_type) = nccs_cdf;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central chi squared CDF", test);
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST))
+#ifdef NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST
+   fp1 = NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST;
+#else
+   fp1 = nccs_ccdf;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central chi squared CDF complement", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if(Real(data[i][3]) == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3]));
+      }
+      else if(data[i][3] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3]);
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(complement(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3])));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][4]));
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, the accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+            value_type m = mode(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]));
+            value_type p = pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m * (1 + sqrt(precision) * 50)) <= p, i);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m * (1 - sqrt(precision)) * 50) <= p, i);
+         }
+         catch(const boost::math::evaluation_error&) {}
+#endif
+         //
+         // Sanity check degrees-of-freedom finder, don't bother at float
+         // precision though as there's not enough data in the probability
+         // values to get back to the correct degrees of freedom or
+         // non-cenrality parameter:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            if((data[i][3] < 0.99) && (data[i][3] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_degrees_of_freedom(data[i][1], data[i][2], data[i][3]),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_non_centrality(data[i][0], data[i][2], data[i][3]),
+                  data[i][1], precision, i);
+            }
+            if((data[i][4] < 0.99) && (data[i][4] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_degrees_of_freedom(boost::math::complement(data[i][1], data[i][2], data[i][4])),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_non_centrality(boost::math::complement(data[i][0], data[i][2], data[i][4])),
+                  data[i][1], precision, i);
+            }
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const std::exception& e)
+         {
+            BOOST_ERROR(e.what());
+         }
+#endif
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#include "nccs.ipp"
+   do_test_nc_chi_squared<T>(nccs, type_name, "Non Central Chi Squared, medium parameters");
+   quantile_sanity_check<T>(nccs, type_name, "Non Central Chi Squared, medium parameters");
+
+#include "nccs_big.ipp"
+   do_test_nc_chi_squared<T>(nccs_big, type_name, "Non Central Chi Squared, large parameters");
+   quantile_sanity_check<T>(nccs_big, type_name, "Non Central Chi Squared, large parameters");
+}
diff --git a/src/boost/libs/math/test/test_nc_f.cpp b/src/boost/libs/math/test/test_nc_f.cpp
new file mode 100644
index 00000000..22a587be
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_f.cpp
@@ -0,0 +1,314 @@
+// test_nc_beta.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_f.hpp> // for chi_squared_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+      }\
+   }
+
+#define BOOST_CHECK_EX(a, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+      }\
+   }
+
+void expected_results()
+{
+   //
+   // Printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class RealType>
+RealType naive_pdf(RealType v1, RealType v2, RealType l, RealType f)
+{
+   BOOST_MATH_STD_USING
+   RealType sum = 0;
+   for(int i = 0; ; ++i)
+   {
+      RealType term = -l/2 + log(l/2) * i;
+      term += boost::math::lgamma(v2/2 + v1/2+i) - (boost::math::lgamma(v2/2) + boost::math::lgamma(v1/2+i));
+      term -= boost::math::lgamma(RealType(i+1));
+      term += log(v1/v2) * (v1/2+i) + log(v2 / (v2 + v1 * f)) * ((v1 + v2) / 2 + i);
+      term += log(f) * (v1/2 - 1 + i);
+      term = exp(term);
+      sum += term;
+      if((term/sum < boost::math::tools::epsilon<RealType>()) || (term == 0))
+         break;
+   }
+   return sum;
+}
+
+template <class RealType>
+void test_spot(
+     RealType a,     // df1
+     RealType b,     // df2
+     RealType ncp,   // non-centrality param
+     RealType x,     // F statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType D,     // PDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::non_central_f_distribution<RealType> dist(a, b, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, x), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, x), D, tol);
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      //
+      // The "naive" pdf calculation fails at float precision.
+      //
+      BOOST_CHECK_CLOSE(
+         pdf(dist, x), naive_pdf(a, b, ncp, x), tol);
+   }
+
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, x)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), x, tol * 10);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), x, tol * 10);
+   }
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      //
+      // Sanity check mode:
+      //
+      RealType m = mode(dist);
+      RealType p = pdf(dist, m);
+      BOOST_CHECK(pdf(dist, m * (1 + sqrt(tol) * 10)) <= p);
+      BOOST_CHECK(pdf(dist, m * (1 - sqrt(tol)) * 10) <= p);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 10000;
+
+   cout << "Tolerance = " << (tolerance / 100) << "%." << endl;
+
+   //
+   // Spot tests from Mathematica computed values:
+   //
+   test_spot(
+      RealType(5),                   // alpha
+      RealType(2),                   // beta
+      RealType(1),                   // non-centrality param
+      RealType(1.5),                   // F statistic
+      RealType(0.49845842011686358665786775091245664L),           // CDF
+      RealType(1 - 0.49845842011686358665786775091245664L),         // Complement of CDF
+      RealType(0.20251311620629730205859816288225385L),           // PDF
+      RealType(tolerance));
+
+   test_spot(
+     RealType(2),                   // alpha
+     RealType(5),                   // beta
+     RealType(1),                   // non-centrality param
+     RealType(2),                   // F statistic
+     RealType(0.64938711196845800322066756609406894L),           // CDF
+     RealType(1 - 0.64938711196845800322066756609406894L),         // Complement of CDF
+     RealType(0.15512617916132011524583796078456003L),           // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(5),                   // beta
+     RealType(15),                  // non-centrality param
+     RealType(105),                 // F statistic
+     RealType(0.99996207325249555786258005958906310L),            // CDF
+     RealType(0.000037926747504442137419940410936905407L),          // Complement of CDF
+     RealType(8.9562292619539161551049126260104435e-7),         // PDF
+     RealType(tolerance * 10));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(5),                   // beta
+     RealType(15),                  // non-centrality param
+     RealType(1.5),                 // F statistic
+     RealType(0.57592315596686179870591317303126895L),           // CDF
+     RealType(1 - 0.57592315596686179870591317303126895L),         // Complement of CDF
+     RealType(0.36743745541686900593212039288061162L),           // PDF
+     RealType(tolerance * 5));
+   test_spot(
+     RealType(5),                   // alpha
+     RealType(100),                 // beta
+     RealType(102),                 // non-centrality param
+     RealType(25),                  // F statistic
+     RealType(0.74993383259829917593356265102363267L),           // CDF
+     RealType(1 - 0.74993383259829917593356265102363267L),         // Complement of CDF
+     RealType(0.054467600423154020554785779421659007L),           // PDF
+     RealType(tolerance * 5));
+   test_spot(
+     RealType(85),                  // alpha
+     RealType(100),                 // beta
+     RealType(0.5),                 // non-centrality param
+     RealType(1.25),                // F statistic
+     RealType(0.85228624977948142884820398473385455L),           // CDF
+     RealType(0.14771375022051857115179601526614545L),         // Complement of CDF
+     RealType(0.88510283331631848299643323511414868L),           // PDF
+     RealType(tolerance * 5));
+
+   //
+   // Spot tests use values computed by the R statistical
+   // package and the pbeta and dbeta functions:
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>() * 100,
+      (RealType)1e-6) * 100;
+
+   test_spot(
+      RealType(85),                  // alpha
+      RealType(100),                 // beta
+      RealType(245),                 // non-centrality param
+      RealType(3.5),                 // F statistic
+      RealType(0.2697244),           // CDF
+      RealType(1 - 0.2697244),         // Complement of CDF
+      RealType(0.54352369104452836465948073900030320L),           // PDF
+      RealType(tolerance));
+
+   BOOST_MATH_STD_USING
+
+   //
+   // 5 eps expressed as a persentage, otherwise the limit of the test data:
+   //
+   RealType tol2 = (std::max)(boost::math::tools::epsilon<RealType>() * 500, RealType(1e-25));
+   RealType x = 2;
+
+   boost::math::non_central_f_distribution<RealType> dist(20, 15, 30);
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(2.8846153846153846153846153846154L), tol2);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(2.1422807961269499731038192576654L), tol2);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+      standard_deviation(dist)
+      , sqrt(variance(dist)), tol2);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+      hazard(dist, x)
+      , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+      chf(dist, x)
+      , -log(cdf(complement(dist, x))), tol2);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+      coefficient_of_variation(dist)
+      , standard_deviation(dist) / mean(dist), tol2);
+   BOOST_CHECK_CLOSE(
+      median(dist),
+      quantile(
+      dist,
+      static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+   // mode:
+   BOOST_CHECK_CLOSE(
+      mode(dist)
+      , static_cast<RealType>(2.070019130232759428074835788815387743293972985542L), sqrt(tolerance));
+   // skewness:
+   BOOST_CHECK_CLOSE(
+      skewness(dist)
+      , static_cast<RealType>(2.1011821125804540669752380228510691320707051692719L), tol2);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+      kurtosis(dist)
+      , 3 + kurtosis_excess(dist), tol2);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+      kurtosis_excess(dist)
+      , static_cast<RealType>(13.225781681053154767604638331440974359675882226873L), tol2);
+
+   // Error handling checks:
+   check_out_of_range<boost::math::non_central_f_distribution<RealType> >(1, 1, 1);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(0, 1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(-1, 1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(1, 0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(1, -1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_f_distribution<RealType>(1, 1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_f_distribution<RealType>(1, 1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+
+} // BOOST_AUTO_TEST_CASE( test_main )
diff --git a/src/boost/libs/math/test/test_nc_t.cpp b/src/boost/libs/math/test/test_nc_t.cpp
new file mode 100644
index 00000000..d9a8d4ed
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_t.cpp
@@ -0,0 +1,502 @@
+// test_nc_t.cpp
+
+// Copyright John Maddock 2008, 2012.
+// Copyright Paul A. Bristow 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp> // Need to include lib/math/test in path.
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_t.hpp> // for chi_squared_distribution.
+#include <boost/math/distributions/normal.hpp> // for normal distribution (for comparison).
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "test_nc_t.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   if(std::numeric_limits<long double>::digits > 54)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 2000000, 200000);        // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 500, 100);               // test function
+   }
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 300000, 100000);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 1500, 300);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 400, 100);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 400, 100);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 250, 50);                // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+  
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+   test_big_df(0.F); // float
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+   test_big_df(0.); // double
+   test_ignore_policy(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+  /* */
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_nc_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 0.000596046%.
+  Tolerance = 5e-010%.
+  Tolerance = 5e-010%.
+  Tolerance = 1e-008%.
+  Testing: Non Central T
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<long double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<long double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<long double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<long double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<long double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<long double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<real_concept> Max = 2.816e+005 RMS Mean=2.029e+004
+      worst case at row: 185
+      { 191.50137329101562, -957.5068359375, -1035.4078369140625, 0.072545502958829097, 0.92745449704117089 }
+  
+  CCDF<real_concept> Max = 1.304e+005 RMS Mean=1.529e+004
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  cdf(n10, 11)  = 0.84134471416473389 0.15865525603294373
+  cdf(n10, 9)  = 0.15865525603294373 0.84134471416473389
+  cdf(maxdf10, 11)  = 0.84134477376937866 0.15865525603294373
+  cdf(infdf10, 11)  = 0.84134477376937866 0.15865525603294373
+  cdf(n10, 11)  = 0.84134474606854293 0.15865525393145707
+  cdf(n10, 9)  = 0.15865525393145707 0.84134474606854293
+  cdf(maxdf10, 11)  = 0.84134474606854293 0.15865525393145707
+  cdf(infdf10, 11)  = 0.84134474606854293 0.15865525393145707
+  
+  *** No errors detected
+
+    Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_nc_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 0.000596046%.
+  Tolerance = 5e-010%.
+  Tolerance = 5e-010%.
+  Tolerance = 1e-008%.
+  Testing: Non Central T
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<long double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<long double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<long double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<long double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<long double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<long double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<real_concept> Max = 2.816e+005 RMS Mean=2.029e+004
+      worst case at row: 185
+      { 191.50137329101562, -957.5068359375, -1035.4078369140625, 0.072545502958829097, 0.92745449704117089 }
+  
+  CCDF<real_concept> Max = 1.304e+005 RMS Mean=1.529e+004
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  
+  *** No errors detected
+
+
+*/
+
+
+
+/*
+
+Temporary stuff from student's t version.
+
+
+   // Calculate 1 / eps, the point where student's t should change to normal distribution.
+    RealType limit = 1 / boost::math::tools::epsilon<RealType>();
+
+    using namespace boost::math::policies;
+    typedef policy<digits10<17> > accurate_policy; // 17 = max_digits10 where available.
+    limit = 1 / policies::get_epsilon<RealType, accurate_policy>();
+
+    BOOST_CHECK_CLOSE_FRACTION(limit, static_cast<RealType>(1) / std::numeric_limits<RealType>::epsilon(), tolerance);
+    // Default policy to get full accuracy.
+    // std::cout << "Switch over to normal if df > " << limit << std::endl;
+    // float Switch over to normal if df > 8.38861e+006
+    // double Switch over to normal if df > 4.5036e+015
+    // Can't test real_concept - doesn't converge.
+
+    boost::math::normal_distribution<RealType> n01(0, 1); // 
+    boost::math::normal_distribution<RealType> n10(10, 1); // 
+    non_central_t_distribution<RealType> nct(boost::math::tools::max_value<RealType>(), 0); // Well over the switchover point,
+    non_central_t_distribution<RealType> nct2(limit /5, 0); // Just below the switchover point,
+    non_central_t_distribution<RealType> nct3(limit /100, 0); // Well below the switchover point,
+    non_central_t_distribution<RealType> nct4(limit, 10); // Well below the switchover point, and 10 non-centrality.
+
+    // PDF
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct, 0), pdf(n01, 0.), tolerance); // normal and non-central t should be nearly equal.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct2, 0), pdf(n01, 0.), tolerance); // should be very close to normal.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct3, 0), pdf(n01, 0.), tolerance * 10); // should be close to normal.
+ //   BOOST_CHECK_CLOSE_FRACTION(pdf(nct4, 10), pdf(n10, 0.), tolerance * 100); // should be fairly close to normal tolerance.
+
+    RealType delta = 10; // non-centrality.
+    RealType nu = static_cast<RealType>(limit); // df
+    boost::math::normal_distribution<RealType> nl(delta, 1); // Normal distribution that nct tends to for big df. 
+    non_central_t_distribution<RealType> nct5(nu, delta); //
+    RealType x = delta;
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 10 ); // nu = 1e15
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 1000 ); // nu = 1e14
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 10000 ); // nu = 1e13
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 100000 ); // nu = 1e12
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 5  ); // nu = 1/eps
+
+  // Increasing the non-centrality delta increases the difference too because increases asymmetry.
+  // For example, with non-centrality = 100, need tolerance * 500 
+
+      // CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(nct, 0), cdf(n01, 0.), tolerance); // should be exactly equal.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(nct2, 0), cdf(n01, 0.), tolerance); // should be very close to normal.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(n10, 11)), 1 - cdf(n10, 11), tolerance); // 
+    //   cdf(n10, 10)  = 0.841345 0.158655
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(n10, 9)), 1 - cdf(n10, 9), tolerance); // 
+    std::cout.precision(17);
+    std::cout  << "cdf(n10, 11)  = " << cdf(n10, 11) << ' ' << cdf(complement(n10, 11)) << endl;
+    std::cout  << "cdf(n10, 9)  = " << cdf(n10, 9) << ' ' << cdf(complement(n10, 9)) << endl;
+
+  std::cout << std::numeric_limits<double>::max_digits10 << std::endl;
+   std::cout.precision(17);
+
+   using boost::math::tools::max_value;
+
+   double eps = std::numeric_limits<double>::epsilon();
+   // Use policies so that if policy requests lower precision, 
+   // then get the normal distribution approximation earlier.
+   //limit = static_cast<double>(1) / limit; // 1/eps
+   double delta = 1e2;
+   double df = 
+   delta / (4 * eps);
+
+    std::cout << df << std::endl; // df = 1.125899906842624e+018
+     
+   {
+     boost::math::non_central_t_distribution<double> dist(df, delta);
+
+      std::cout <<"mean " << mean(dist) << std::endl; // mean 1000
+      std::cout <<"variance " << variance(dist) << std::endl; // variance 1
+      std::cout <<"skewness " << skewness(dist) << std::endl; //  skewness 8.8817841970012523e-010
+      std::cout <<"kurtosis_excess " << kurtosis_excess(dist) << std::endl; // kurtosis_excess 3.0001220703125
+  //1.125899906842624e+017
+  //mean 100
+  //variance 1
+  //skewness 8.8817841970012523e-012
+  //kurtosis_excess 3
+
+
+   }
+
+
+
+  */
diff --git a/src/boost/libs/math/test/test_nc_t.hpp b/src/boost/libs/math/test/test_nc_t.hpp
new file mode 100644
index 00000000..9cb8cb9d
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_t.hpp
@@ -0,0 +1,731 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_t.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "test_out_of_range.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType delta, RealType x)
+{
+}
+
+template <class RealType>
+RealType naive_mean(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   return delta * sqrt(v / 2) * tgamma((v - 1) / 2) / tgamma(v / 2);
+}
+
+float naive_mean(float v, float delta)
+{
+   return (float)naive_mean((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_variance(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType r = tgamma((v - 1) / 2) / tgamma(v / 2);
+   r *= r;
+   r *= -delta * delta * v / 2;
+   r += (1 + delta * delta) * v / (v - 2);
+   return r;
+}
+
+float naive_variance(float v, float delta)
+{
+   return (float)naive_variance((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_skewness(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType tgr = tgamma((v - 1) / 2) / tgamma(v / 2);
+   RealType r = delta * sqrt(v) * tgamma((v - 1) / 2)
+      * (v * (-3 + delta * delta + 2 * v) / ((-3 + v) * (-2 + v))
+      - 2 * ((1 + delta * delta) * v / (-2 + v) - delta * delta * v * tgr * tgr / 2));
+   r /= boost::math::constants::root_two<RealType>()
+      * pow(((1 + delta*delta) * v / (-2 + v) - delta*delta*v*tgr*tgr / 2), RealType(1.5f))
+      * tgamma(v / 2);
+   return r;
+}
+
+float naive_skewness(float v, float delta)
+{
+   return (float)naive_skewness((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_kurtosis_excess(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType tgr = tgamma((v - 1) / 2) / tgamma(v / 2);
+   RealType r = -delta * delta * v * tgr * tgr / 2;
+   r *= v * (delta * delta * (1 + v) + 3 * (-5 + 3 * v)) / ((-3 + v)*(-2 + v))
+      - 3 * ((1 + delta * delta) * v / (-2 + v) - delta * delta * v * tgr * tgr / 2);
+   r += (3 + 6 * delta * delta + delta * delta * delta * delta)* v * v
+      / ((-4 + v) * (-2 + v));
+   r /= (1 + delta*delta)*v / (-2 + v) - delta*delta*v *tgr*tgr / 2;
+   r /= (1 + delta*delta)*v / (-2 + v) - delta*delta*v *tgr*tgr / 2;
+   return r;
+}
+
+float naive_kurtosis_excess(float v, float delta)
+{
+   return (float)naive_kurtosis_excess((double)v, (double)delta);
+}
+
+template <class RealType>
+void test_spot(
+   RealType df,    // Degrees of freedom
+   RealType ncp,   // non-centrality param
+   RealType t,     // T statistic
+   RealType P,     // CDF
+   RealType Q,     // Complement of CDF
+   RealType tol)   // Test tolerance
+{
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   RealType tolerance_tgamma_extra = std::numeric_limits<RealType>::is_specialized ? 1 : 5;
+
+   boost::math::non_central_t_distribution<RealType> dist(df, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, t), P, tol);
+#ifndef BOOST_NO_EXCEPTIONS
+   try{
+      BOOST_CHECK_CLOSE(
+         mean(dist), naive_mean(df, ncp), tol);
+      BOOST_CHECK_CLOSE(
+         variance(dist), naive_variance(df, ncp), tol);
+      BOOST_CHECK_CLOSE(
+         skewness(dist), naive_skewness(df, ncp), tol * 10 * tolerance_tgamma_extra);
+      BOOST_CHECK_CLOSE(
+         kurtosis_excess(dist), naive_kurtosis_excess(df, ncp), tol * 50 * tolerance_tgamma_extra);
+      BOOST_CHECK_CLOSE(
+         kurtosis(dist), 3 + naive_kurtosis_excess(df, ncp), tol * 50 * tolerance_tgamma_extra);
+   }
+   catch(const std::domain_error&)
+   {
+   }
+#endif
+   /*
+   BOOST_CHECK_CLOSE(
+   pdf(dist, t), naive_pdf(dist.degrees_of_freedom(), ncp, t), tol * 50);
+   */
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, t)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist, P), t, tol * 10);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist, Q)), t, tol * 10);
+      /*  Removed because can give more than one solution.
+      BOOST_CHECK_CLOSE(
+      dist.find_degrees_of_freedom(ncp, t, P), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_degrees_of_freedom(boost::math::complement(ncp, t, Q)), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_non_centrality(df, t, P), ncp, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_non_centrality(boost::math::complement(df, t, Q)), ncp, tol * 10);
+      */
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   using namespace std;
+   //
+   // Approx limit of test data is 12 digits expressed here as a percentage:
+   //
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      (RealType)5e-12f) * 100;
+   //
+   // At float precision we need to up the tolerance, since
+   // the input values are rounded off to inexact quantities
+   // the results get thrown off by a noticeable amount.
+   //
+   if(boost::math::tools::digits<RealType>() < 50)
+      tolerance *= 50;
+   if(boost::is_floating_point<RealType>::value != 1)
+      tolerance *= 20; // real_concept special functions are less accurate
+
+   cout << "Tolerance = " << tolerance << "%." << endl;
+
+   //
+   // Test data is taken from:
+   //
+   // Computing discrete mixtures of continuous
+   // distributions: noncentral chisquare, noncentral t
+   // and the distribution of the square of the sample
+   // multiple correlation coeficient.
+   // Denise Benton, K. Krishnamoorthy.
+   // Computational Statistics & Data Analysis 43 (2003) 249 - 267
+   //
+   test_spot(
+      static_cast<RealType>(3),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(2.34),   // T
+      static_cast<RealType>(0.801888999613917),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.801888999613917),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(126),   // degrees of freedom
+      static_cast<RealType>(-2),   // non centrality
+      static_cast<RealType>(-4.33),   // T
+      static_cast<RealType>(1.252846196792878e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 1.252846196792878e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(20),   // degrees of freedom
+      static_cast<RealType>(23),   // non centrality
+      static_cast<RealType>(23),   // T
+      static_cast<RealType>(0.460134400391924),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.460134400391924),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(20),   // degrees of freedom
+      static_cast<RealType>(33),   // non centrality
+      static_cast<RealType>(34),   // T
+      static_cast<RealType>(0.532008386378725),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.532008386378725),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(12),   // degrees of freedom
+      static_cast<RealType>(38),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.495868184917805),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.495868184917805),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(12),   // degrees of freedom
+      static_cast<RealType>(39),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.446304024668836),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.446304024668836),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(200),   // degrees of freedom
+      static_cast<RealType>(38),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.666194209961795),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.666194209961795),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(200),   // degrees of freedom
+      static_cast<RealType>(42),   // non centrality
+      static_cast<RealType>(40),   // T
+      static_cast<RealType>(0.179292265426085),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.179292265426085),           // Q = 1 - P
+      tolerance);
+
+   // From https://svn.boost.org/trac/boost/ticket/10480.
+   // Test value from Mathematica N[CDF[NoncentralStudentTDistribution[2, 4], 5], 35]:
+   test_spot(
+      static_cast<RealType>(2),   // degrees of freedom
+      static_cast<RealType>(4),   // non centrality
+      static_cast<RealType>(5),   // T
+      static_cast<RealType>(0.53202069866995310466912357978934321L),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.53202069866995310466912357978934321L),           // Q = 1 - P
+      tolerance);
+
+   /* This test fails
+   "Result of tgamma is too large to represent" at naive_mean check for max and infinity.
+   if (std::numeric_limits<RealType>::has_infinity)
+   {
+   test_spot(
+   //static_cast<RealType>(std::numeric_limits<RealType>::infinity()),   // degrees of freedom
+   static_cast<RealType>((std::numeric_limits<RealType>::max)()),   // degrees of freedom
+   static_cast<RealType>(10),   // non centrality
+   static_cast<RealType>(11),   // T
+   static_cast<RealType>(0.84134474606854293),       // Probability of result (CDF), P
+   static_cast<RealType>(0.15865525393145707),           // Q = 1 - P
+   tolerance);
+   }
+   */
+
+   boost::math::non_central_t_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(12));
+   BOOST_CHECK_CLOSE(pdf(dist, 12), static_cast<RealType>(1.235329715425894935157684607751972713457e-1L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, -2), -4), static_cast<RealType>(5.797932289365814702402873546466798025787e-2L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, 2), 4), static_cast<RealType>(5.797932289365814702402873546466798025787e-2L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, 2), 0), static_cast<RealType>(5.388394890639957139696546086044839573749e-2L), tolerance);
+
+   // Error handling checks:
+   //check_out_of_range<boost::math::non_central_t_distribution<RealType> >(1, 1);  // Fails one check because df for this distribution *can* be infinity.
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_t_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_t_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_t_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_t_distribution<RealType>(1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+template <class T>
+T nct_cdf(T df, T nc, T x)
+{
+   return cdf(boost::math::non_central_t_distribution<T>(df, nc), x);
+}
+
+template <class T>
+T nct_ccdf(T df, T nc, T x)
+{
+   return cdf(complement(boost::math::non_central_t_distribution<T>(df, nc), x));
+}
+
+template <typename Real, typename T>
+void do_test_nc_t(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef NC_T_CDF_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type, value_type, value_type) = NC_T_CDF_FUNCTION_TO_TEST;
+#else
+   value_type(*fp1)(value_type, value_type, value_type) = nct_cdf;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_T_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central t CDF", test);
+#endif
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_T_CCDF_FUNCTION_TO_TEST))
+#ifdef NC_T_CCDF_FUNCTION_TO_TEST
+   fp1 = NC_T_CCDF_FUNCTION_TO_TEST;
+#else
+   fp1 = nct_ccdf;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central t CDF complement", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if(data[i][3] == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3]));
+      }
+      else if(data[i][3] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3]);
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(complement(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3])));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][4]));
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, the accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+            value_type m = mode(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]));
+            value_type p = pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m);
+            value_type delta = (std::max)(fabs(m * sqrt(precision) * 50), sqrt(precision) * 50);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m + delta) <= p, i);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m - delta) <= p, i);
+         }
+         catch(const boost::math::evaluation_error&) {}
+#endif
+#if 0
+         //
+         // Sanity check degrees-of-freedom finder, don't bother at float
+         // precision though as there's not enough data in the probability
+         // values to get back to the correct degrees of freedom or
+         // non-centrality parameter:
+         //
+         try{
+            if((data[i][3] < 0.99) && (data[i][3] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_degrees_of_freedom(data[i][1], data[i][2], data[i][3]),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_non_centrality(data[i][0], data[i][2], data[i][3]),
+                  data[i][1], precision, i);
+            }
+            if((data[i][4] < 0.99) && (data[i][4] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_degrees_of_freedom(boost::math::complement(data[i][1], data[i][2], data[i][4])),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_non_centrality(boost::math::complement(data[i][0], data[i][2], data[i][4])),
+                  data[i][1], precision, i);
+            }
+         }
+         catch(const std::exception& e)
+         {
+            BOOST_ERROR(e.what());
+         }
+#endif
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#include "nct.ipp"
+   do_test_nc_t<T>(nct, type_name, "Non Central T");
+   quantile_sanity_check<T>(nct, type_name, "Non Central T");
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      //
+      // Don't run these tests for real_concept: they take too long and don't converge
+      // without numeric_limits and lanczos support:
+      //
+#include "nct_small_delta.ipp"
+      do_test_nc_t<T>(nct_small_delta, type_name, "Non Central T (small non-centrality)");
+      quantile_sanity_check<T>(nct_small_delta, type_name, "Non Central T (small non-centrality)");
+#include "nct_asym.ipp"
+      do_test_nc_t<T>(nct_asym, type_name, "Non Central T (large parameters)");
+      quantile_sanity_check<T>(nct_asym, type_name, "Non Central T (large parameters)");
+   }
+}
+
+
+template <class RealType>
+void test_big_df(RealType)
+{
+   using namespace boost::math;
+
+   if(typeid(RealType) != typeid(boost::math::concepts::real_concept))
+   { // Ordinary floats only.
+      // Could also test if (std::numeric_limits<RealType>::is_specialized);
+
+      RealType tolerance = 10 * boost::math::tools::epsilon<RealType>(); // static_cast<RealType>(1e-14); //
+      std::cout.precision(17); // Note: need to reset after calling BOOST_CHECK_s
+      // due to buglet in Boost.test that fails to restore precision corrrectly.
+
+      // Test for large degrees of freedom when should be same as normal.
+      RealType inf =
+         (std::numeric_limits<RealType>::has_infinity) ?
+         std::numeric_limits<RealType>::infinity()
+         :
+         boost::math::tools::max_value<RealType>();
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+      // Tests for df = max_value and infinity.
+      RealType max_val = boost::math::tools::max_value<RealType>();
+      non_central_t_distribution<RealType> maxdf(max_val, 0);
+      BOOST_CHECK_EQUAL(maxdf.degrees_of_freedom(), max_val);
+
+      non_central_t_distribution<RealType> infdf(inf, 0);
+      BOOST_CHECK_EQUAL(infdf.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(mean(infdf), 0);
+      BOOST_CHECK_EQUAL(mean(maxdf), 0);
+      BOOST_CHECK_EQUAL(variance(infdf), 1);
+      BOOST_CHECK_EQUAL(variance(maxdf), 1);
+      BOOST_CHECK_EQUAL(skewness(infdf), 0);
+      BOOST_CHECK_EQUAL(skewness(maxdf), 0);
+      BOOST_CHECK_EQUAL(kurtosis_excess(infdf), 3);
+      BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(maxdf), static_cast<RealType>(3), tolerance);
+
+      // Bad df examples.
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(-inf, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(nan, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(-nan, 0), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(-inf, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(nan, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(-nan, 0), std::domain_error);
+#endif
+
+
+      // BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), static_cast<RealType>(0.3989422804014326779399460599343818684759L), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(maxdf, 0), boost::math::constants::one_div_root_two_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), boost::math::constants::one_div_root_two_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(infdf, 0), boost::math::constants::half<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(maxdf, 0), boost::math::constants::half<RealType>(), tolerance);
+
+      // non-centrality delta = 10
+      // Degrees of freedom = Max value and  = infinity should be very close.
+      non_central_t_distribution<RealType> maxdf10(max_val, 10);
+      non_central_t_distribution<RealType> infdf10(inf, 10);
+      BOOST_CHECK_EQUAL(infdf10.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(infdf10.non_centrality(), 10);
+      BOOST_CHECK_EQUAL(mean(infdf10), 10);
+      BOOST_CHECK_CLOSE_FRACTION(mean(maxdf10), static_cast<RealType>(10), tolerance);
+
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf10, 11), pdf(maxdf10, 11), tolerance); //
+
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(infdf10, 11)), 1 - cdf(infdf10, 11), tolerance); //
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(maxdf10, 11)), 1 - cdf(maxdf10, 11), tolerance); //
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(infdf10, 11)), 1 - cdf(maxdf10, 11), tolerance); //
+      std::cout.precision(17);
+      //std::cout  << "cdf(maxdf10, 11)  = " << cdf(maxdf10, 11) << ' ' << cdf(complement(maxdf10, 11)) << endl;
+      //std::cout  << "cdf(infdf10, 11)  = " << cdf(infdf10, 11) << ' ' << cdf(complement(infdf10, 11)) << endl;
+      //std::cout  << "quantile(maxdf10, 0.5)  = " << quantile(maxdf10, 0.5) << std::endl; // quantile(maxdf10, 0.5)  = 10.000000000000004
+      //std::cout  << "quantile(infdf10, 0.5) = " << ' ' << quantile(infdf10, 0.5) << std::endl; // quantile(infdf10, 0.5) =  10
+
+      BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.5), static_cast<RealType>(10), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf10, 0.5), static_cast<RealType>(10), tolerance);
+
+      BOOST_TEST_MESSAGE("non_central_t_distribution<RealType> infdf100(inf, 100);");
+      non_central_t_distribution<RealType> infdf100(inf, 100);
+      BOOST_TEST_MESSAGE("non_central_t_distribution<RealType> maxdf100(max_val, 100);");
+      non_central_t_distribution<RealType> maxdf100(max_val, 100);
+      BOOST_TEST_MESSAGE("BOOST_CHECK_CLOSE_FRACTION(quantile(infdf100, 0.5), static_cast<RealType>(100), tolerance);");
+      BOOST_CHECK_CLOSE_FRACTION(quantile(infdf100, 0.5), static_cast<RealType>(100), tolerance);
+      BOOST_TEST_MESSAGE("BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf100, 0.5), static_cast<RealType>(100), tolerance);");
+      BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf100, 0.5), static_cast<RealType>(100), tolerance);
+      { // Loop back.
+         RealType p = static_cast<RealType>(0.01);
+         RealType x = quantile(infdf10, p);
+         RealType c = cdf(infdf10, x);
+         BOOST_CHECK_CLOSE_FRACTION(c, p, tolerance);
+      }
+    {
+       RealType q = static_cast<RealType>(0.99);
+       RealType x = quantile(complement(infdf10, q));
+       RealType c = cdf(complement(infdf10, x));
+       BOOST_CHECK_CLOSE_FRACTION(c, q, tolerance);
+    }
+    { // Loop back.
+       RealType p = static_cast<RealType>(0.99);
+       RealType x = quantile(infdf10, p);
+       RealType c = cdf(infdf10, x);
+       BOOST_CHECK_CLOSE_FRACTION(c, p, tolerance);
+    }
+    {
+       RealType q = static_cast<RealType>(0.01);
+       RealType x = quantile(complement(infdf10, q));
+       RealType c = cdf(complement(infdf10, x));
+       BOOST_CHECK_CLOSE_FRACTION(c, q, tolerance * 2); // c{0.0100000128} and q{0.00999999978}
+    }
+
+    //RealType cinf = quantile(infdf10, 0.25);
+    //std::cout << cinf << ' ' << cdf(infdf10, cinf) << std::endl; // 9.32551 0.25
+
+    //RealType cmax = quantile(maxdf10, 0.25);
+    //std::cout << cmax << ' ' << cdf(maxdf10, cmax) << std::endl; //  9.32551 0.25
+
+    //RealType cinfc = quantile(complement(infdf10, 0.75));
+    //std::cout << cinfc << ' ' << cdf(infdf10, cinfc) << std::endl; // 9.32551 0.25
+
+    //RealType cmaxc = quantile(complement(maxdf10, 0.75));
+    //std::cout << cmaxc << ' ' << cdf(maxdf10, cmaxc) << std::endl; // 9.32551 0.25
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.5), quantile(maxdf10, 0.5), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.2), quantile(maxdf10, 0.2), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.8), quantile(maxdf10, 0.8), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.25), quantile(complement(infdf10, 0.75)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(infdf10, 0.5)), quantile(complement(maxdf10, 0.5)), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf10, 0.25), quantile(complement(maxdf10, 0.75)), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.99), quantile(complement(infdf10, 0.01)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.4), quantile(complement(infdf10, 0.6)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.01), quantile(complement(infdf10, 1 - 0.01)), tolerance); //
+   }
+} // void test_big_df(RealType)
+
+template <class RealType>
+void test_ignore_policy(RealType)
+{
+   // Check on returns when errors are ignored.
+   if((typeid(RealType) != typeid(boost::math::concepts::real_concept))
+      && std::numeric_limits<RealType>::has_infinity
+      && std::numeric_limits<RealType>::has_quiet_NaN
+      )
+   { // Ordinary floats only.
+
+      using namespace boost::math;
+      //   RealType inf = std::numeric_limits<RealType>::infinity();
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+      using boost::math::policies::policy;
+      // Types of error whose action can be altered by policies:.
+      //using boost::math::policies::evaluation_error;
+      //using boost::math::policies::domain_error;
+      //using boost::math::policies::overflow_error;
+      //using boost::math::policies::underflow_error;
+      //using boost::math::policies::domain_error;
+      //using boost::math::policies::pole_error;
+
+      //// Actions on error (in enum error_policy_type):
+      //using boost::math::policies::errno_on_error;
+      //using boost::math::policies::ignore_error;
+      //using boost::math::policies::throw_on_error;
+      //using boost::math::policies::denorm_error;
+      //using boost::math::policies::pole_error;
+      //using boost::math::policies::user_error;
+
+      typedef policy<
+         boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+         boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+         boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+         boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+         boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+         boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+      > ignore_all_policy;
+
+      typedef non_central_t_distribution<RealType, ignore_all_policy> ignore_error_non_central_t;
+
+      // Only test NaN and infinity if type has these features (realconcept returns zero).
+      // Integers are always converted to RealType,
+      // others requires static cast to RealType from long double.
+
+      if(std::numeric_limits<RealType>::has_quiet_NaN)
+      {
+         // Mean
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(-nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(+nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(2, nan))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(nan, nan))));
+         BOOST_CHECK(boost::math::isfinite(mean(ignore_error_non_central_t(2, 0)))); // OK
+
+         // Variance
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(1, nan))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(2, nan))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(static_cast<RealType>(1.7L), 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(2, 0))));
+
+         // Skewness
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(3, 0))));
+
+         // Kurtosis
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(3, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(4, 0))));
+
+         // Kurtosis excess
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(3, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(4, 0))));
+      } // has_quiet_NaN
+      BOOST_CHECK(boost::math::isfinite(mean(ignore_error_non_central_t(1 + std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(2 + 2 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(2 + 2 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(skewness(ignore_error_non_central_t(3 + 3 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_non_central_t(4 + 4 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_non_central_t(static_cast<RealType>(4.0001L), 0))));
+
+      // check_out_of_range<non_central_t_distribution<RealType> >(1, 0); // Fails one check because allows df = infinity.
+      check_support<non_central_t_distribution<RealType> >(non_central_t_distribution<RealType>(1, 0));
+   } // ordinary floats.
+} // template <class RealType> void test_ignore_policy(RealType)
diff --git a/src/boost/libs/math/test/test_ncbeta_hooks.hpp b/src/boost/libs/math/test/test_ncbeta_hooks.hpp
new file mode 100644
index 00000000..e8155550
--- /dev/null
+++ b/src/boost/libs/math/test/test_ncbeta_hooks.hpp
@@ -0,0 +1,39 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_NCBETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_NCBETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_R
+#define MATHLIB_STANDALONE
+#include <rmath.h>
+namespace other{
+inline float ncbeta_cdf(float a, float b, float nc, float x)
+{ 
+   return (float)pnbeta(x, a, b, nc, 1, 0);
+}
+inline double ncbeta_cdf(double a, double b, double nc, double x)
+{
+   return pnbeta(x, a, b, nc, 1, 0);
+}
+inline long double ncbeta_cdf(long double a, long double b, long double nc, long double x)
+{ 
+   return pnbeta((double)x, (double)a, (double)b, (double)nc, 1, 0);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept ncbeta_cdf(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_nccs_hooks.hpp b/src/boost/libs/math/test/test_nccs_hooks.hpp
new file mode 100644
index 00000000..11225fa5
--- /dev/null
+++ b/src/boost/libs/math/test/test_nccs_hooks.hpp
@@ -0,0 +1,61 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_NCCS_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_NCCS_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_R
+#define MATHLIB_STANDALONE
+#include <rmath.h>
+namespace other{
+inline float nccs_cdf(float df, float nc, float x)
+{ 
+   return (float)pnchisq(x, df, nc, 1, 0);
+}
+inline double nccs_cdf(double df, double nc, double x)
+{
+   return pnchisq(x, df, nc, 1, 0);
+}
+inline long double nccs_cdf(long double df, long double nc, long double x)
+{ 
+   return pnchisq((double)x, (double)df, (double)nc, 1, 0);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_CDFLIB
+#include <cdflib.h>
+namespace other{
+inline double nccs_cdf(double df, double nc, double x)
+{
+   int kind(1), status(0);
+   double p, q, bound(0);
+   cdfchn(&kind, &p, &q, &x, &df, &nc, &status, &bound);
+   return p;
+}
+inline float nccs_cdf(float df, float nc, float x)
+{ 
+   return (double)nccs_cdf((double)df, (double)nc, (double)x);
+}
+inline long double nccs_cdf(long double df, long double nc, long double x)
+{ 
+   return nccs_cdf((double)df, (double)nc, (double)x);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept nccs_cdf(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_negative_binomial.cpp b/src/boost/libs/math/test/test_negative_binomial.cpp
new file mode 100644
index 00000000..069ebf87
--- /dev/null
+++ b/src/boost/libs/math/test/test_negative_binomial.cpp
@@ -0,0 +1,861 @@
+// test_negative_binomial.cpp
+
+// Copyright Paul A. Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for Negative Binomial Distribution.
+
+// Note that these defines must be placed BEFORE #includes.
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+// because several tests overflow & underflow by design.
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/negative_binomial.hpp> // for negative_binomial_distribution
+using boost::math::negative_binomial_distribution;
+
+#include <boost/math/special_functions/gamma.hpp>
+  using boost::math::lgamma;  // log gamma
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "table_type.hpp"
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot( // Test a single spot value against 'known good' values.
+               RealType N,    // Number of successes.
+               RealType k,    // Number of failures.
+               RealType p,    // Probability of success_fraction.
+               RealType P,    // CDF probability.
+               RealType Q,    // Complement of CDF.
+               RealType tol)  // Test tolerance.
+{
+   boost::math::negative_binomial_distribution<RealType> bn(N, p);
+   BOOST_CHECK_EQUAL(N, bn.successes());
+   BOOST_CHECK_EQUAL(p, bn.success_fraction());
+   BOOST_CHECK_CLOSE(
+     cdf(bn, k), P, tol);
+
+  if((P < 0.99) && (Q < 0.99))
+  {
+    // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error:
+    //
+    BOOST_CHECK_CLOSE(
+      cdf(complement(bn, k)), Q, tol);
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE(
+        quantile(bn, P), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(bn, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE(
+        quantile(complement(bn, Q)), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(bn, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    // estimate success ratio:
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+      N+k, N, P),
+      p, tol);
+    // Note we bump up the sample size here, purely for the sake of the test,
+    // internally the function has to adjust the sample size so that we get
+    // the right upper bound, our test undoes this, so we can verify the result.
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+      N+k+1, N, Q),
+      p, tol);
+
+    if(Q < P)
+    {
+       //
+       // We check two things here, that the upper and lower bounds
+       // are the right way around, and that they do actually bracket
+       // the naive estimate of p = successes / (sample size)
+       //
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, Q)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, Q)
+        );
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, Q)
+        <=
+        N / (N+k)
+        );
+      BOOST_CHECK(
+        N / (N+k)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, Q)
+        );
+    }
+    else
+    {
+       // As above but when P is small.
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, P)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, P)
+        );
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, P)
+        <=
+        N / (N+k)
+        );
+      BOOST_CHECK(
+        N / (N+k)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, P)
+        );
+    }
+
+    // Estimate sample size:
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_minimum_number_of_trials(
+      k, p, P),
+      N+k, tol);
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_maximum_number_of_trials(
+         k, p, Q),
+      N+k, tol);
+
+    // Double check consistency of CDF and PDF by computing the finite sum:
+    RealType sum = 0;
+    for(unsigned i = 0; i <= k; ++i)
+    {
+      sum += pdf(bn, RealType(i));
+    }
+    BOOST_CHECK_CLOSE(sum, P, tol);
+
+    // Complement is not possible since sum is to infinity.
+  } //
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to double precision only
+  // so set tolerance to 1000 eps expressed as a percent, or
+  // 1000 eps of type double expressed as a percent, whichever
+  // is the larger.
+
+  RealType tolerance = (std::max)
+    (boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 100 * 100000.0f;
+
+  cout << "Tolerance = " << tolerance << "%." << endl;
+
+  RealType tol1eps = boost::math::tools::epsilon<RealType>() * 2; // Very tight, suit exact values.
+  //RealType tol2eps = boost::math::tools::epsilon<RealType>() * 2; // Tight, suit exact values.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // Wider 5 epsilon.
+  cout << "Tolerance 5 eps = " << tol5eps << "%." << endl;
+
+  // Sources of spot test values:
+
+  // MathCAD defines pbinom(k, r, p) (at about 64-bit double precision, about 16 decimal digits)
+  // returns pr(X , k) when random variable X has the binomial distribution with parameters r and p.
+  // 0 <= k
+  // r > 0
+  // 0 <= p <= 1
+  // P = pbinom(30, 500, 0.05) = 0.869147702104609
+
+  // And functions.wolfram.com
+
+  using boost::math::negative_binomial_distribution;
+  using  ::boost::math::negative_binomial;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  // Test negative binomial using cdf spot values from MathCAD cdf = pnbinom(k, r, p).
+  // These test quantiles and complements as well.
+
+  test_spot(  // pnbinom(1,2,0.5) = 0.5
+  static_cast<RealType>(2),   // successes r
+  static_cast<RealType>(1),   // Number of failures, k
+  static_cast<RealType>(0.5), // Probability of success as fraction, p
+  static_cast<RealType>(0.5), // Probability of result (CDF), P
+  static_cast<RealType>(0.5),  // complement CCDF Q = 1 - P
+  tolerance);
+
+  test_spot( // pbinom(0, 2, 0.25)
+  static_cast<RealType>(2),    // successes r
+  static_cast<RealType>(0),    // Number of failures, k
+  static_cast<RealType>(0.25),
+  static_cast<RealType>(0.0625),                    // Probability of result (CDF), P
+  static_cast<RealType>(0.9375),                    // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(48,8,0.25)
+  static_cast<RealType>(8),     // successes r
+  static_cast<RealType>(48),    // Number of failures, k
+  static_cast<RealType>(0.25),                    // Probability of success, p
+  static_cast<RealType>(9.826582228110670E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.826582228110670E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(2,5,0.4)
+  static_cast<RealType>(5),     // successes r
+  static_cast<RealType>(2),     // Number of failures, k
+  static_cast<RealType>(0.4),                    // Probability of success, p
+  static_cast<RealType>(9.625600000000020E-2),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.625600000000020E-2),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(10,100,0.9)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(10),     // Number of failures, k
+  static_cast<RealType>(0.9),                    // Probability of success, p
+  static_cast<RealType>(4.535522887695670E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 4.535522887695670E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(1,100,0.991)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(1),     // Number of failures, k
+  static_cast<RealType>(0.991),                    // Probability of success, p
+  static_cast<RealType>(7.693413044217000E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 7.693413044217000E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(10,100,0.991)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(10),     // Number of failures, k
+  static_cast<RealType>(0.991),                    // Probability of success, p
+  static_cast<RealType>(9.999999940939000E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.999999940939000E-1),   // Q = 1 - P
+  tolerance);
+
+if(std::numeric_limits<RealType>::is_specialized)
+{ // An extreme value test that takes 3 minutes using the real concept type
+  // for which numeric_limits<RealType>::is_specialized == false, deliberately
+  // and for which there is no Lanczos approximation defined (also deliberately)
+  // giving a very slow computation, but with acceptable accuracy.
+  // A possible enhancement might be to use a normal approximation for
+  // extreme values, but this is not implemented.
+  test_spot(  // pbinom(100000,100,0.001)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(100000),     // Number of failures, k
+  static_cast<RealType>(0.001),                    // Probability of success, p
+  static_cast<RealType>(5.173047534260320E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 5.173047534260320E-1),   // Q = 1 - P
+  tolerance*1000); // *1000 is OK 0.51730475350664229  versus
+
+  // functions.wolfram.com
+  //   for I[0.001](100, 100000+1) gives:
+  // Wolfram       0.517304753506834882009032744488738352004003696396461766326713
+  // JM nonLanczos 0.51730475350664229 differs at the 13th decimal digit.
+  // MathCAD       0.51730475342603199 differs at 10th decimal digit.
+
+  // Error tests:
+  check_out_of_range<negative_binomial_distribution<RealType> >(20, 0.5);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(0, 0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(-2, 0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(20, -0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(20, 1.5), std::domain_error);
+}
+ // End of single spot tests using RealType
+
+
+  // Tests on PDF:
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+  static_cast<RealType>(0) ),  // k = 0.
+  static_cast<RealType>(0.25), // 0
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(4), static_cast<RealType>(0.5)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(0.0625), // exact 1/16
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k = 0
+  static_cast<RealType>(9.094947017729270E-13), // pbinom(0,20,0.25) = 9.094947017729270E-13
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.2)),
+  static_cast<RealType>(0)),  // k = 0
+  static_cast<RealType>(1.0485760000000003e-014), // MathCAD 1.048576000000000E-14
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(10), static_cast<RealType>(0.1)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(1e-10), // MathCAD says zero, but suffers cancellation error?
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.1)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(1e-20), // MathCAD says zero, but suffers cancellation error?
+  tolerance);
+
+
+  BOOST_CHECK_CLOSE( // .
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.9)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.215766545905690E-1), // k=20  p = 0.9
+  tolerance);
+
+  // Tests on cdf:
+  // MathCAD pbinom k, r, p) == failures, successes, probability.
+
+  BOOST_CHECK_CLOSE(cdf(
+    negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)), // successes = 2,prob 0.25
+    static_cast<RealType>(0) ), // k = 0
+    static_cast<RealType>(0.25), // probability 1/4
+    tolerance);
+
+  BOOST_CHECK_CLOSE(cdf(complement(
+    negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)), // successes = 2,prob 0.25
+    static_cast<RealType>(0) )), // k = 0
+    static_cast<RealType>(0.75), // probability 3/4
+    tolerance);
+  BOOST_CHECK_CLOSE( // k = 1.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)),  // k =1.
+  static_cast<RealType>(1.455191522836700E-11),
+  tolerance);
+
+  BOOST_CHECK_SMALL( // Check within an epsilon with CHECK_SMALL
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)) -
+  static_cast<RealType>(1.455191522836700E-11),
+  tolerance );
+
+  // Some exact (probably - judging by trailing zeros) values.
+  BOOST_CHECK_CLOSE(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance);
+
+  BOOST_CHECK_SMALL(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)) -
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance );
+
+  BOOST_CHECK_CLOSE( // k = 1.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)),  // k.
+  static_cast<RealType>(1.068115234375010E-4),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 2.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(2)),  // k.
+  static_cast<RealType>(4.158020019531300E-4),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 3.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(3)),  // k.bristow
+  static_cast<RealType>(1.188278198242200E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 4.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(4)),  // k.
+  static_cast<RealType>(2.781510353088410E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 5.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(5)),  // k.
+  static_cast<RealType>(5.649328231811500E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 6.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(6)),  // k.
+  static_cast<RealType>(1.030953228473680E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 7.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(7)),  // k.
+  static_cast<RealType>(1.729983836412430E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 8.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(8)),  // k = n.
+  static_cast<RealType>(2.712995628826370E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(48)),  // k
+  static_cast<RealType>(9.826582228110670E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(64)),  // k
+  static_cast<RealType>(9.990295004935590E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(5), static_cast<RealType>(0.4)),
+  static_cast<RealType>(26)),  // k
+  static_cast<RealType>(9.989686246611190E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(5), static_cast<RealType>(0.4)),
+  static_cast<RealType>(2)),  // k failures
+  static_cast<RealType>(9.625600000000020E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(50), static_cast<RealType>(0.9)),
+  static_cast<RealType>(20)),  // k
+  static_cast<RealType>(9.999970854144170E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(500), static_cast<RealType>(0.7)),
+  static_cast<RealType>(200)),  // k
+  static_cast<RealType>(2.172846379930550E-1),
+  tolerance* 2);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(50), static_cast<RealType>(0.7)),
+  static_cast<RealType>(20)),  // k
+  static_cast<RealType>(4.550203671301790E-1),
+  tolerance);
+
+  // Tests of other functions, mean and other moments ...
+
+  negative_binomial_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(0.25));
+  using namespace std; // ADL of std names.
+  // mean:
+  BOOST_CHECK_CLOSE(
+    mean(dist), static_cast<RealType>(8 * (1 - 0.25) /0.25), tol5eps);
+  BOOST_CHECK_CLOSE(
+    mode(dist), static_cast<RealType>(21), tol1eps);
+  // variance:
+  BOOST_CHECK_CLOSE(
+    variance(dist), static_cast<RealType>(8 * (1 - 0.25) / (0.25 * 0.25)), tol5eps);
+  // std deviation:
+  BOOST_CHECK_CLOSE(
+    standard_deviation(dist), // 9.79795897113271239270
+    static_cast<RealType>(9.797958971132712392789136298823565567864L), // using functions.wolfram.com
+    //                              9.79795897113271152534  == sqrt(8 * (1 - 0.25) / (0.25 * 0.25)))
+    tol5eps * 100);
+  BOOST_CHECK_CLOSE(
+    skewness(dist), //
+    static_cast<RealType>(0.71443450831176036),
+    // using http://mathworld.wolfram.com/skewness.html
+    tolerance);
+  BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist), //
+    static_cast<RealType>(0.7604166666666666666666666666666666666666L), // using Wikipedia Kurtosis(excess) formula
+    tol5eps * 100);
+  BOOST_CHECK_CLOSE(
+    kurtosis(dist), // true 
+    static_cast<RealType>(3.76041666666666666666666666666666666666666L), // 
+    tol5eps * 100);
+  // hazard:
+  RealType x = static_cast<RealType>(0.125);
+  BOOST_CHECK_CLOSE(
+  hazard(dist, x)
+  , pdf(dist, x) / cdf(complement(dist, x)), tol5eps);
+  // cumulative hazard:
+  BOOST_CHECK_CLOSE(
+  chf(dist, x), -log(cdf(complement(dist, x))), tol5eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE(
+  coefficient_of_variation(dist)
+  , standard_deviation(dist) / mean(dist), tol5eps);
+
+  // Special cases for PDF:
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)), //
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+  static_cast<RealType>(0.001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+  static_cast<RealType>(8)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_SMALL(
+  pdf(
+   negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0))-
+  static_cast<RealType>(0.0625),
+  2 * boost::math::tools::epsilon<RealType>() ); // Expect exact, but not quite.
+  // numeric_limits<RealType>::epsilon()); // Not suitable for real concept!
+
+  // Quantile boundary cases checks:
+  BOOST_CHECK_EQUAL(
+  quantile(  // zero P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL(
+  quantile(  // min P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be near zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::epsilon<RealType>())), // 
+  static_cast<RealType>(0),
+    tol5eps);
+
+  BOOST_CHECK_CLOSE(
+  quantile(  // Small P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0.95854156929288470),
+    tolerance);
+
+  //BOOST_CHECK(  // Fails with overflow for real_concept
+  //quantile(  // Small P near 1 so k failures should be big.
+  //negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>())) <=
+  //static_cast<RealType>(189.56999032670058)  // 106.462769 for float
+  //);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_THROW_ON_OVERFLOW_POLICY ==  throw_on_error would throw here.
+    // #define BOOST_MAT_DOMAIN_ERROR_POLICY IS defined throw_on_error,
+    //  so the throw path of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_CHECK(
+    quantile(  // At P == 1 so k failures should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)) ==
+    //static_cast<RealType>(boost::math::tools::infinity<RealType>())
+    static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+
+    BOOST_CHECK_EQUAL(
+    quantile(  // At 1 == P  so should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)), //
+    std::numeric_limits<RealType>::infinity() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    std::numeric_limits<RealType>::infinity() );
+   } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, so check it throws rather than returning infinity.
+    BOOST_CHECK_EQUAL(
+    quantile(  // At P == 1 so k failures should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),
+    boost::math::tools::max_value<RealType>() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    boost::math::tools::max_value<RealType>());
+  }
+  BOOST_CHECK( // Should work for built-in and real_concept.
+  quantile(complement(  // Q very near to 1 so P nearly 1  < so should be large > 384.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())))
+   >= static_cast<RealType>(384) );
+
+  BOOST_CHECK_EQUAL(
+  quantile(  //  P ==  0 < cdf(0) so should be zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  // Quantile Complement boundary cases:
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q = 1 so P = 0 < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1))),
+  static_cast<RealType>(0)
+  );
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q very near 1 so P == epsilon < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>()))),
+  static_cast<RealType>(0)
+  );
+
+  // Check that duff arguments throw domain_error:
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative successes!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)),
+  std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative k argument !
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error
+  );
+  //BOOST_MATH_CHECK_THROW(
+  //pdf( // Unlike binomial there is NO limit on k (failures)
+  //negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(9)), std::domain_error
+  //);
+  BOOST_MATH_CHECK_THROW(
+  cdf(  // Negative k argument !
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  quantile(  // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  quantile( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  // End of check throwing 'duff' out-of-domain values.
+
+#define T RealType
+#include "negative_binomial_quantile.ipp"
+
+  for(unsigned i = 0; i < negative_binomial_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 700;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 10;  // no lanczos approximation implies less accuracy
+     //
+     // Check full real value first:
+     //
+     negative_binomial_distribution<RealType, P1> p1(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     RealType x = quantile(p1, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_CLOSE_FRACTION(x, negative_binomial_quantile_data[i][3], tol);
+     x = quantile(complement(p1, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_CLOSE_FRACTION(x, negative_binomial_quantile_data[i][4], tol);
+     //
+     // Now with round down to integer:
+     //
+     negative_binomial_distribution<RealType, P2> p2(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p2, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p2, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round up to integer:
+     //
+     negative_binomial_distribution<RealType, P3> p3(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p3, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, ceil(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p3, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, ceil(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to integer "outside":
+     //
+     negative_binomial_distribution<RealType, P4> p4(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p4, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? floor(negative_binomial_quantile_data[i][3]) : ceil(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p4, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? ceil(negative_binomial_quantile_data[i][4]) : floor(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to integer "inside":
+     //
+     negative_binomial_distribution<RealType, P5> p5(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p5, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? ceil(negative_binomial_quantile_data[i][3]) : floor(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p5, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? floor(negative_binomial_quantile_data[i][4]) : ceil(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to nearest integer:
+     //
+     negative_binomial_distribution<RealType, P6> p6(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p6, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][3] + 0.5f));
+     x = quantile(complement(p6, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][4] + 0.5f));
+  }
+
+  return;
+} // template <class RealType> void test_spots(RealType) // Any floating-point type RealType.
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate negative_binomial distribution using the two convenience methods:
+  using namespace boost::math;
+   negative_binomial mynb1(2., 0.5); // Using typedef - default type is double.
+   negative_binomial_distribution<> myf2(2., 0.5); // Using default RealType double.
+
+  // Basic sanity-check spot values.
+
+  // Test some simple double only examples.
+  negative_binomial_distribution<double> my8dist(8., 0.25);
+  // 8 successes (r), 0.25 success fraction = 35% or 1 in 4 successes.
+  // Note: double values (matching the distribution definition) avoid the need for any casting.
+
+  // Check accessor functions return exact values for double at least.
+  BOOST_CHECK_EQUAL(my8dist.successes(), static_cast<double>(8));
+  BOOST_CHECK_EQUAL(my8dist.success_fraction(), static_cast<double>(1./4.));
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+  #endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_negative_binomial.exe"
+Running 1 test case...
+Tolerance = 0.0119209%.
+Tolerance 5 eps = 5.96046e-007%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_next.cpp b/src/boost/libs/math/test/test_next.cpp
new file mode 100644
index 00000000..adc890e6
--- /dev/null
+++ b/src/boost/libs/math/test/test_next.cpp
@@ -0,0 +1,273 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#if !defined(_CRAYC) && !defined(__CUDACC__) && (!defined(__GNUC__) || (__GNUC__ > 3) || ((__GNUC__ == 3) && (__GNUC_MINOR__ > 3)))
+#if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || defined(__SSE2__) || defined(TEST_SSE2)
+#include <float.h>
+#include "xmmintrin.h"
+#define TEST_SSE2
+#endif
+#endif
+
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   T upper = tools::max_value<T>();
+   T lower = -upper;
+
+   std::cout << "Testing type " << name << " with initial value " << val << std::endl;
+
+   BOOST_CHECK_EQUAL(float_distance(float_next(val), val), -1);
+   BOOST_CHECK(float_next(val) > val);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(val), val), 1);
+   BOOST_CHECK(float_prior(val) < val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, upper), val), -1);
+   BOOST_CHECK((boost::math::nextafter)(val, upper) > val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, lower), val), 1);
+   BOOST_CHECK((boost::math::nextafter)(val, lower) < val);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_next(val)), val), -2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), val), 2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), float_next(float_next(val))), 4);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_next(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_prior(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_prior(float_next(val)), val);
+   BOOST_CHECK_EQUAL(float_next(float_prior(val)), val);
+
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, 4), val), -4);
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, -4), val), 4);
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present))
+   {
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), 4), float_next(float_next(val))), -4);
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), -4), float_next(float_next(val))), 4);
+   }
+   if(val > 0)
+   {
+      T n = val + ulp(val);
+      T fn = float_next(val);
+      if(n > fn)
+      {
+         BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(fn, n);
+      }
+   }
+   else if(val == 0)
+   {
+      BOOST_CHECK_GE(boost::math::tools::min_value<T>(), ulp(val));
+   }
+   else
+   {
+      T n = val - ulp(val);
+      T fp = float_prior(val);
+      if(n < fp)
+      {
+         BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(fp, n);
+      }
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = static_cast<T>(1.3456724e22);
+   static const T b = static_cast<T>(1.3456724e-22);
+   static const T z = 0;
+   static const T one = 1;
+   static const T two = 2;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(-a, name);
+   test_value(b, name);
+   test_value(-b, name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(-boost::math::tools::epsilon<T>(), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(-boost::math::tools::min_value<T>(), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(-z, name);
+   }
+   test_value(one, name);
+   test_value(-one, name);
+   test_value(two, name);
+   test_value(-two, name);
+#if defined(TEST_SSE2)
+   if((_mm_getcsr() & (_MM_FLUSH_ZERO_ON | 0x40)) == 0)
+   {
+#endif
+      if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+      {
+         test_value(std::numeric_limits<T>::denorm_min(), name);
+         test_value(-std::numeric_limits<T>::denorm_min(), name);
+         test_value(2 * std::numeric_limits<T>::denorm_min(), name);
+         test_value(-2 * std::numeric_limits<T>::denorm_min(), name);
+      }
+#if defined(TEST_SSE2)
+   }
+#endif
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes)/sizeof(primes[0]); ++i)
+   {
+      T v1 = val;
+      T v2 = val;
+      for(int j = 0; j < primes[i]; ++j)
+      {
+         v1 = boost::math::float_next(v1);
+         v2 = boost::math::float_prior(v2);
+      }
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v1, val), -primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v2, val), primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2);
+   }
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_infinity))
+   {
+      BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits<T>::infinity()), (std::numeric_limits<T>::max)());
+      BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits<T>::infinity()), -(std::numeric_limits<T>::max)());
+      BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits<T>::infinity()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits<T>::infinity()), std::domain_error);
+      if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error)
+      {
+         BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits<T>::max)()), std::overflow_error);
+         BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits<T>::max)()), std::overflow_error);
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(boost::math::float_prior(-(std::numeric_limits<T>::max)()), -std::numeric_limits<T>::infinity());
+         BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits<T>::max)()), std::numeric_limits<T>::infinity());
+      }
+   }
+   //
+   // We need to test float_distance over mulyiple orders of magnitude,
+   // the only way to get an accurate true result is to count the representations
+   // between the two end points, but we can only really do this for type float:
+   //
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits < 30) && (std::numeric_limits<T>::radix == 2))
+   {
+      T left, right, dist, fresult;
+      boost::uintmax_t result;
+
+      left = static_cast<T>(0.1);
+      right = left * static_cast<T>(4.2);
+      dist = boost::math::float_distance(left, right);
+      // We have to use a wider integer type for the accurate count, since there
+      // aren't enough bits in T to get a true result if the values differ
+      // by more than a factor of 2:
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_next(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+
+      left = static_cast<T>(-0.1);
+      right = left * static_cast<T>(4.2);
+      dist = boost::math::float_distance(right, left);
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_prior(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+
+      left = static_cast<T>(-1.1) * (std::numeric_limits<T>::min)();
+      right = static_cast<T>(-4.1) * left;
+      dist = boost::math::float_distance(left, right);
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_next(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+   test_values(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+
+   //
+   // Test some multiprecision types:
+   //
+   test_values(boost::multiprecision::cpp_bin_float_quad(0), "cpp_bin_float_quad");
+   // This is way to slow to test routinely:
+   //test_values(boost::multiprecision::cpp_bin_float_single(0), "cpp_bin_float_single");
+   test_values(boost::multiprecision::cpp_bin_float_50(0), "cpp_bin_float_50");
+
+#if defined(TEST_SSE2)
+
+   int mmx_flags = _mm_getcsr(); // We'll restore these later.
+
+#ifdef _WIN32
+   // These tests fail pretty badly on Linux x64, especially with Intel-12.1
+   _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_ON);
+   std::cout << "Testing again with Flush-To-Zero set" << std::endl;
+   std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+   _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_OFF);
+#endif
+   BOOST_ASSERT((_mm_getcsr() & 0x40) == 0);
+   _mm_setcsr(_mm_getcsr() | 0x40);
+   std::cout << "Testing again with Denormals-Are-Zero set" << std::endl;
+   std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+
+   // Restore the MMX flags:
+   _mm_setcsr(mmx_flags);
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_next_decimal.cpp b/src/boost/libs/math/test/test_next_decimal.cpp
new file mode 100644
index 00000000..56e5d3eb
--- /dev/null
+++ b/src/boost/libs/math/test/test_next_decimal.cpp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/multiprecision/debug_adaptor.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class T>
+bool is_normalized_value(const T& val)
+{
+   //
+   // Returns false if value has guard digits that are non-zero
+   //
+   boost::intmax_t shift = std::numeric_limits<T>::digits - ilogb(val) - 1;
+   T shifted = scalbn(val, shift);
+   return floor(shifted) == shifted;
+}
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   T upper = tools::max_value<T>();
+   T lower = -upper;
+
+   std::cout << "Testing type " << name << " with initial value " << val << std::endl;
+
+   BOOST_CHECK_EQUAL(float_distance(float_next(val), val), -1);
+   BOOST_CHECK(float_next(val) > val);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(val), val), 1);
+   BOOST_CHECK(float_prior(val) < val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, upper), val), -1);
+   BOOST_CHECK((boost::math::nextafter)(val, upper) > val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, lower), val), 1);
+   BOOST_CHECK((boost::math::nextafter)(val, lower) < val);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_next(val)), val), -2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), val), 2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), float_next(float_next(val))), 4);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_next(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_prior(val)), val), 0);
+   if (is_normalized_value(val))
+   {
+      BOOST_CHECK_EQUAL(float_prior(float_next(val)), val);
+      BOOST_CHECK_EQUAL(float_next(float_prior(val)), val);
+   }
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, 4), val), -4);
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, -4), val), 4);
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present))
+   {
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), 4), float_next(float_next(val))), -4);
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), -4), float_next(float_next(val))), 4);
+   }
+   if (is_normalized_value(val))
+   {
+      if (val > 0)
+      {
+         T n = val + ulp(val);
+         T fn = float_next(val);
+         if (n > fn)
+         {
+            BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+         }
+         else
+         {
+            BOOST_CHECK_EQUAL(fn, n);
+         }
+      }
+      else if (val == 0)
+      {
+         BOOST_CHECK_GE(boost::math::tools::min_value<T>(), ulp(val));
+      }
+      else
+      {
+         T n = val - ulp(val);
+         T fp = float_prior(val);
+         if (n < fp)
+         {
+            BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+         }
+         else
+         {
+            BOOST_CHECK_EQUAL(fp, n);
+         }
+      }
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = boost::lexical_cast<T>("1.3456724e22");
+   static const T b = boost::lexical_cast<T>("1.3456724e-22");
+   static const T z = 0;
+   static const T one = 1;
+   static const T radix = std::numeric_limits<T>::radix;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(T(-a), name);
+   test_value(b, name);
+   test_value(T(-b), name);
+   test_value(T(b / 3), name);
+   test_value(T(-b / 3), name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(T(-boost::math::tools::epsilon<T>()), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(T(-boost::math::tools::min_value<T>()), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(T(-z), name);
+   }
+   test_value(one, name);
+   test_value(T(-one), name);
+   test_value(radix, name);
+   test_value(T(-radix), name);
+
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(std::numeric_limits<T>::denorm_min(), name);
+      test_value(T(-std::numeric_limits<T>::denorm_min()), name);
+      test_value(T(2 * std::numeric_limits<T>::denorm_min()), name);
+      test_value(T(-2 * std::numeric_limits<T>::denorm_min()), name);
+   }
+
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes)/sizeof(primes[0]); ++i)
+   {
+      T v1 = val;
+      T v2 = val;
+      for(int j = 0; j < primes[i]; ++j)
+      {
+         v1 = boost::math::float_next(v1);
+         v2 = boost::math::float_prior(v2);
+      }
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v1, val), -primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v2, val), primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2);
+   }
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_infinity))
+   {
+      BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits<T>::infinity()), (std::numeric_limits<T>::max)());
+      BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits<T>::infinity()), -(std::numeric_limits<T>::max)());
+      BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits<T>::infinity()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits<T>::infinity()), std::domain_error);
+      if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error)
+      {
+         BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits<T>::max)()), std::overflow_error);
+         BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits<T>::max)()), std::overflow_error);
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(boost::math::float_prior(-(std::numeric_limits<T>::max)()), -std::numeric_limits<T>::infinity());
+         BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits<T>::max)()), std::numeric_limits<T>::infinity());
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Very slow, but debuggable:
+   //test_values(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::cpp_dec_float_50::backend_type> >(0), "cpp_dec_float_50");
+   
+   // Faster, but no good for diagnising the cause of any issues:
+   test_values(boost::multiprecision::cpp_dec_float_50(0), "cpp_dec_float_50");
+}
+
+
diff --git a/src/boost/libs/math/test/test_nonfinite_io.cpp b/src/boost/libs/math/test/test_nonfinite_io.cpp
new file mode 100644
index 00000000..71aad86f
--- /dev/null
+++ b/src/boost/libs/math/test/test_nonfinite_io.cpp
@@ -0,0 +1,342 @@
+
+// Copyright 2011 Paul A. Bristow 
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_nonfinite_trap.cpp
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // Expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <libs/math/test/almost_equal.ipp> // Similar to BOOST_CLOSE_FRACTION.
+#include <libs/math/test/s_.ipp> // To create test strings like std::basic_string<CharType> s = S_("0 -0"); 
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+#include <locale>
+#include <sstream>
+#include <iomanip>
+
+namespace {
+
+// Using an anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using (boost::math::isnan)(;
+
+//------------------------------------------------------------------------------
+// Test nonfinite_num_put and nonfinite_num_get facets by checking
+// loopback (output and re-input) of a few values,
+// but using all the built-in char and floating-point types.
+// Only the default output is used but various ostream options are tested seperately below.
+// Finite, infinite and NaN values (positive and negative) are used for the test.
+
+void trap_test_finite();
+void trap_test_inf();
+void trap_test_nan();
+
+BOOST_AUTO_TEST_CASE(trap_test)
+{
+    trap_test_finite();
+    trap_test_inf();
+    trap_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_finite_impl();
+
+void trap_test_finite()
+{ // Test finite using all the built-in char and floating-point types.
+    trap_test_finite_impl<char, float>();
+    trap_test_finite_impl<char, double>();
+    trap_test_finite_impl<char, long double>();
+    trap_test_finite_impl<wchar_t, float>();
+    trap_test_finite_impl<wchar_t, double>();
+    trap_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_finite_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity | trap_nan));
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity | trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4; // 1.2, -3.5, max, -max
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_inf_impl();
+template<class CharType, class ValType> void trap_test_put_inf_impl();
+template<class CharType, class ValType> void trap_test_get_inf_impl();
+
+void trap_test_inf()
+{ // Test infinity using all the built-in char and floating-point types.
+    trap_test_inf_impl<char, float>();
+    trap_test_inf_impl<char, double>();
+    trap_test_inf_impl<char, long double>();
+    trap_test_inf_impl<wchar_t, float>();
+    trap_test_inf_impl<wchar_t, double>();
+    trap_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_inf_impl()
+{
+    trap_test_put_inf_impl<CharType, ValType>();
+    trap_test_get_inf_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_inf_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_nan_impl();
+template<class CharType, class ValType> void trap_test_put_nan_impl();
+template<class CharType, class ValType> void trap_test_get_nan_impl();
+
+void trap_test_nan()
+{ // Test NaN using all the built-in char and floating-point types.
+    trap_test_nan_impl<char, float>();
+    trap_test_nan_impl<char, double>();
+    trap_test_nan_impl<char, long double>();
+    trap_test_nan_impl<wchar_t, float>();
+    trap_test_nan_impl<wchar_t, double>();
+    trap_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_nan_impl()
+{
+    trap_test_put_nan_impl<CharType, ValType>();
+    trap_test_get_nan_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_nan_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+// Test a selection of stream output options comparing result with expected string.
+// Only uses CharType = char and ValType  = double.
+// Other types have already been tested above.
+
+#define CHECKOUT(manips, expected)\
+  {\
+  std::locale old_locale;\
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(0)); /* default flags. */\
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+  std::ostringstream ss;\
+  ss.imbue(new_locale);\
+  ss << manips;\
+  std::basic_string<char> s = S_(expected);\
+  BOOST_CHECK_EQUAL(ss.str(), s);\
+  }\
+
+ BOOST_AUTO_TEST_CASE(check_trap_nan)
+  { // Check that with trap_nan set, it really does throw exception.
+  std::locale old_locale;
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(trap_nan));
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  std::ostringstream os;
+  os.imbue(new_locale);
+  os.exceptions(std::ios_base::badbit | std::ios_base::failbit); // Enable throwing exceptions.
+  double nan =  std::numeric_limits<double>::quiet_NaN();
+  BOOST_MATH_CHECK_THROW((os << nan), std::runtime_error);
+  // warning : in "check_trap_nan": exception std::runtime_error is expected
+ } //  BOOST_AUTO_TEST_CASE(check_trap_nan)
+
+ BOOST_AUTO_TEST_CASE(check_trap_inf)
+  { // Check that with trap_nan set, it really does throw exception.
+  std::locale old_locale;
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(trap_infinity));
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  std::ostringstream os;
+  os.imbue(new_locale);
+  os.exceptions(std::ios_base::badbit | std::ios_base::failbit); // Enable throwing exceptions.
+  double inf =  std::numeric_limits<double>::infinity();
+  BOOST_MATH_CHECK_THROW((os << inf), std::runtime_error);
+  // warning : in "check_trap_inf": exception std::runtime_error is expected.
+ 
+ } //  BOOST_AUTO_TEST_CASE(check_trap_nan_inf)
+
+ BOOST_AUTO_TEST_CASE(output_tests)
+  {
+    // Positive zero.
+    CHECKOUT(0, "0"); // integer zero.
+    CHECKOUT(0., "0"); // double zero.
+
+    double nan =  std::numeric_limits<double>::quiet_NaN();
+    double inf =  std::numeric_limits<double>::infinity();
+
+    CHECKOUT(inf, "inf"); // infinity.
+    CHECKOUT(-inf, "-inf"); // infinity.
+    CHECKOUT(std::showpos << inf, "+inf"); // infinity.
+
+    CHECKOUT(std::setw(6) << std::showpos << inf, "  +inf"); // infinity.
+    CHECKOUT(std::right << std::setw(6) << std::showpos << inf, "  +inf"); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::showpos << inf, "+inf  "); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::setprecision(6) << inf, "inf   "); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::setfill('*') << std::setprecision(6) << inf, "inf***"); // infinity.
+    CHECKOUT(std::right << std::setw(6) << std::setfill('*') << std::setprecision(6) << inf, "***inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::showpos << inf, "+  inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::setfill('*') << std::showpos << inf, "+**inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::setfill('*') << std::showpos << -inf, "-**inf"); // infinity.
+
+    CHECKOUT(nan, "nan"); // nan
+    CHECKOUT(std::setw(1) << nan, "nan"); // nan, even if width was too small.
+    CHECKOUT(std::setprecision(10) << nan, "nan"); // setprecision has no effect.
+ }  //  BOOST_AUTO_TEST_CASE(output_tests)
+ 
+}   // anonymous namespace
+
+/*
+
+Output:
+
+test_nonfinite_io.cpp
+  test_nonfinite_io.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_nonfinite_io.exe
+  Running 4 test cases...
+  Platform: Win32
+  Compiler: Microsoft Visual C++ version 10.0
+  STL     : Dinkumware standard library version 520
+  Boost   : 1.49.0
+  Entering test suite "Master Test Suite"
+  Entering test case "trap_test"
+  Leaving test case "trap_test"; testing time: 7ms
+  Entering test case "check_trap_nan"
+  Leaving test case "check_trap_nan"
+  Entering test case "check_trap_inf"
+  Leaving test case "check_trap_inf"; testing time: 1ms
+  Entering test case "output_tests"
+  Leaving test case "output_tests"; testing time: 3ms
+  Leaving test suite "Master Test Suite"
+  
+  *** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_nonfinite_trap.cpp b/src/boost/libs/math/test/test_nonfinite_trap.cpp
new file mode 100644
index 00000000..40736fc9
--- /dev/null
+++ b/src/boost/libs/math/test/test_nonfinite_trap.cpp
@@ -0,0 +1,239 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow To incorporate into Boost.Math
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_nonfinite_trap.cpp
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include "almost_equal.ipp" // Similar to BOOST_CLOSE_FRACTION.
+#include "s_.ipp" // To create test strings like std::basic_string<CharType> s = S_("0 -0"); 
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+#include <locale>
+#include <sstream>
+
+namespace {
+
+// Using an anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void trap_test_finite();
+void trap_test_inf();
+void trap_test_nan();
+
+BOOST_AUTO_TEST_CASE(trap_test)
+{
+    trap_test_finite();
+    trap_test_inf();
+    trap_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_finite_impl();
+
+void trap_test_finite()
+{
+    trap_test_finite_impl<char, float>();
+    trap_test_finite_impl<char, double>();
+    trap_test_finite_impl<char, long double>();
+    trap_test_finite_impl<wchar_t, float>();
+    trap_test_finite_impl<wchar_t, double>();
+    trap_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_finite_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity | trap_nan));
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity | trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_inf_impl();
+template<class CharType, class ValType> void trap_test_put_inf_impl();
+template<class CharType, class ValType> void trap_test_get_inf_impl();
+
+void trap_test_inf()
+{
+    trap_test_inf_impl<char, float>();
+    trap_test_inf_impl<char, double>();
+    trap_test_inf_impl<char, long double>();
+    trap_test_inf_impl<wchar_t, float>();
+    trap_test_inf_impl<wchar_t, double>();
+    trap_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_inf_impl()
+{
+    trap_test_put_inf_impl<CharType, ValType>();
+    trap_test_get_inf_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_inf_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_nan_impl();
+template<class CharType, class ValType> void trap_test_put_nan_impl();
+template<class CharType, class ValType> void trap_test_get_nan_impl();
+
+void trap_test_nan()
+{
+    trap_test_nan_impl<char, float>();
+    trap_test_nan_impl<char, double>();
+    trap_test_nan_impl<char, long double>();
+    trap_test_nan_impl<wchar_t, float>();
+    trap_test_nan_impl<wchar_t, double>();
+    trap_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_nan_impl()
+{
+    trap_test_put_nan_impl<CharType, ValType>();
+    trap_test_get_nan_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_nan_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
+
diff --git a/src/boost/libs/math/test/test_normal.cpp b/src/boost/libs/math/test/test_normal.cpp
new file mode 100644
index 00000000..757e942c
--- /dev/null
+++ b/src/boost/libs/math/test/test_normal.cpp
@@ -0,0 +1,391 @@
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_normal.cpp
+
+// http://en.wikipedia.org/wiki/Normal_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3661.htm
+// Also:
+// Weisstein, Eric W. "Normal Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/NormalDistribution.html
+
+#include <pch.hpp> // include directory /libs/math/src/tr1/ is needed.
+
+#ifdef _MSC_VER
+#  pragma warning (disable: 4127) // conditional expression is constant
+// caused by using   if(std::numeric_limits<RealType>::has_infinity)
+// and   if (std::numeric_limits<RealType>::has_quiet_NaN)
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/normal.hpp>
+    using boost::math::normal_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType NaivePDF(RealType mean, RealType sd, RealType x)
+{
+   // Deliberately naive PDF calculator again which
+   // we'll compare our pdf function.  However some
+   // published values to compare against would be better....
+   using namespace std;
+   return exp(-(x-mean)*(x-mean)/(2*sd*sd))/(sd * sqrt(2*boost::math::constants::pi<RealType>()));
+}
+
+template <class RealType>
+void check_normal(RealType mean, RealType sd, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         normal_distribution<RealType>(mean, sd),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            normal_distribution<RealType>(mean, sd),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         normal_distribution<RealType>(mean, sd),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            normal_distribution<RealType>(mean, sd),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   RealType tolerance = 1e-2f; // 1e-4 (as %)
+   // Some tests only pass at 1e-4 because values generated by
+   // http://faculty.vassar.edu/lowry/VassarStats.html
+   // give only 5 or 6 *fixed* places, so small values have fewer digits.
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(0, -1), std::domain_error); // negative sd
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(0, -1), std::domain_error); // negative sd
+#endif
+
+  // Tests on extreme values of random variate x, if has std::numeric_limits infinity etc.
+    normal_distribution<RealType> N01;
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(pdf(N01, +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+    BOOST_CHECK_EQUAL(pdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+    BOOST_CHECK_EQUAL(cdf(N01, +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+    BOOST_CHECK_EQUAL(cdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(4.8),
+      static_cast<RealType>(0.46017),
+      static_cast<RealType>(1 - 0.46017),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(5.2),
+      static_cast<RealType>(1 - 0.46017),
+      static_cast<RealType>(0.46017),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(0.08076),
+      static_cast<RealType>(1 - 0.08076),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(7.8),
+      static_cast<RealType>(1 - 0.08076),
+      static_cast<RealType>(0.08076),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-4.5),
+      static_cast<RealType>(0.38209),
+      static_cast<RealType>(1 - 0.38209),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-1.5),
+      static_cast<RealType>(1 - 0.38209),
+      static_cast<RealType>(0.38209),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-8.5),
+      static_cast<RealType>(0.13567),
+      static_cast<RealType>(1 - 0.13567),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(2.5),
+      static_cast<RealType>(1 - 0.13567),
+      static_cast<RealType>(0.13567),
+      tolerance);
+
+   //
+   // Tests for PDF: we know that the peak value is at 1/sqrt(2*pi)
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(), static_cast<RealType>(0)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(3), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(3, 5), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+   //
+   // Spot checks for mean = -5, sd = 6:
+   //
+   for(RealType x = -15; x < 5; x += 0.125)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(normal_distribution<RealType>(-5, 6), x),
+         NaivePDF(RealType(-5), RealType(6), x),
+         tolerance);
+   }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5;
+    normal_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+
+    BOOST_MATH_STD_USING // ADL of std math lib names
+
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(9), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(3), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(8), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(8), tol2);
+
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol2);
+    // kertosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(3), tol2);
+    // kertosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(0), tol2);
+
+    normal_distribution<RealType> norm01(0, 1); // Test default (0, 1)
+    BOOST_CHECK_CLOSE(
+       mean(norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    normal_distribution<RealType> defsd_norm01(0); // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(defsd_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    normal_distribution<RealType> def_norm01; // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(def_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    BOOST_CHECK_CLOSE(
+       standard_deviation(def_norm01),
+       static_cast<RealType>(1), 0); // Mean == zero
+
+    // Error tests:
+    check_out_of_range<boost::math::normal_distribution<RealType> >(0, 1); // (All) valid constructor parameter values.
+    
+    BOOST_MATH_CHECK_THROW(pdf(normal_distribution<RealType>(0, 0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(normal_distribution<RealType>(0, -1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(normal_distribution<RealType>(0, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(normal_distribution<RealType>(0, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    // Check that can generate normal distribution using the two convenience methods:
+   boost::math::normal myf1(1., 2); // Using typedef
+   normal_distribution<> myf2(1., 2); // Using default RealType double.
+  boost::math::normal myn01; // Use default values.
+  // Note NOT myn01() as the compiler will interpret as a function!
+
+  // Check the synonyms, provided to allow generic use of find_location and find_scale.
+  BOOST_CHECK_EQUAL(myn01.mean(), myn01.location());
+  BOOST_CHECK_EQUAL(myn01.standard_deviation(), myn01.scale());
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_normal.exe"
+Running 1 test case...
+Tolerance for type float is 0.01 %
+Tolerance for type double is 0.01 %
+Tolerance for type long double is 0.01 %
+Tolerance for type class boost::math::concepts::real_concept is 0.01 %
+*** No errors detected
+
+
+
+
+------ Build started: Project: test_normal, Configuration: Release Win32 ------
+  test_normal.cpp
+  Generating code
+  Finished generating code
+  test_normal.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_normal.exe
+  Running 1 test case...
+  Tolerance for type float is 0.01 %
+  Tolerance for type double is 0.01 %
+  Tolerance for type long double is 0.01 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.01 %
+  
+  *** No errors detected
+  Detected memory leaks!
+  Dumping objects ->
+  {2413} normal block at 0x00321190, 42 bytes long.
+   Data: <class boost::mat> 63 6C 61 73 73 20 62 6F 6F 73 74 3A 3A 6D 61 74 
+  {2412} normal block at 0x003231F0, 8 bytes long.
+   Data: <  2  22 > 90 11 32 00 98 32 32 00 
+  {1824} normal block at 0x00323180, 12 bytes long.
+   Data: <long double > 6C 6F 6E 67 20 64 6F 75 62 6C 65 00 
+  {1823} normal block at 0x00323298, 8 bytes long.
+   Data: < 12 `22 > 80 31 32 00 60 32 32 00 
+  {1227} normal block at 0x00323148, 7 bytes long.
+   Data: <double > 64 6F 75 62 6C 65 00 
+  {1226} normal block at 0x00323260, 8 bytes long.
+   Data: <H12  02 > 48 31 32 00 A0 30 32 00 
+  {633} normal block at 0x003230D8, 6 bytes long.
+   Data: <float > 66 6C 6F 61 74 00 
+  {632} normal block at 0x003230A0, 8 bytes long.
+   Data: < 02     > D8 30 32 00 00 00 00 00 
+  Object dump complete.
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_numerical_differentiation.cpp b/src/boost/libs/math/test/test_numerical_differentiation.cpp
new file mode 100644
index 00000000..1b2f5396
--- /dev/null
+++ b/src/boost/libs/math/test/test_numerical_differentiation.cpp
@@ -0,0 +1,245 @@
+//  (C) Copyright Nick Thompson, 2018
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE numerical_differentiation_test
+
+#include <cmath>
+#include <limits>
+#include <iostream>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/differentiation/finite_difference.hpp>
+
+using std::abs;
+using std::pow;
+using boost::math::differentiation::finite_difference_derivative;
+using boost::math::differentiation::complex_step_derivative;
+using boost::math::cyl_bessel_j;
+using boost::math::cyl_bessel_j_prime;
+using boost::math::constants::half;
+
+template<class Real, size_t order>
+void test_order(size_t points_to_test)
+{
+    std::cout << "Testing order " <<  order  << " derivative error estimate on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << std::fixed << std::scientific;
+    auto f = [](Real t) { return boost::math::cyl_bessel_j<Real>(1, t); };
+    Real min = -100000.0;
+    Real max = -min;
+    Real x = min;
+    Real max_error = 0;
+    Real max_relative_error_in_error = 0;
+    size_t j = 0;
+    size_t failures = 0;
+    while (j < points_to_test)
+    {
+        x = min + (Real) 2*j*max/ (Real) points_to_test;
+        Real error_estimate;
+        Real computed = finite_difference_derivative<decltype(f), Real, order>(f, x, &error_estimate);
+        Real expected = (Real) cyl_bessel_j_prime<Real>(1, x);
+        Real error = abs(computed - expected);
+        // The error estimate is provided under the assumption that the function is evaluated to 1 ULP.
+        // Presumably no one will be too offended by this estimate being off by a factor of 2 or so.
+        if (error > 2*error_estimate)
+        {
+            ++failures;
+            Real relative_error_in_error = abs(error - error_estimate)/ error;
+            if (relative_error_in_error > max_relative_error_in_error)
+            {
+                max_relative_error_in_error = relative_error_in_error;
+            }
+            if (relative_error_in_error > 2)
+            {
+                throw std::logic_error("Relative error in error is too high!");
+            }
+        }
+        if (error > max_error)
+        {
+            max_error = error;
+        }
+        ++j;
+    }
+    //std::cout << "Maximum error :" << max_error << "\n";
+    //std::cout <<  "Error estimate failed " << failures << " times out of " << points_to_test << "\n";
+    //std::cout << "Failure rate: " << (double) failures / (double) points_to_test << "\n";
+    //std::cout << "Maximum error in estimated error = " << max_relative_error_in_error << "\n";
+    //Real convergence_rate = (Real) order/ (Real) (order + 1);
+    //std::cout << "eps^(order/order+1) = " << pow(std::numeric_limits<Real>::epsilon(), convergence_rate) << "\n\n\n";
+
+    bool max_error_good = max_error < 2*sqrt(std::numeric_limits<Real>::epsilon());
+    BOOST_TEST(max_error_good);
+
+    bool error_estimate_good = max_relative_error_in_error < (Real) 2;
+    BOOST_TEST(error_estimate_good);
+
+    double failure_rate = (double) failures / (double) points_to_test;
+    BOOST_CHECK_SMALL(failure_rate, 0.05);
+}
+
+template<class Real>
+void test_bessel()
+{
+    std::cout << "Testing numerical derivatives of Bessel's function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+
+    Real eps = std::numeric_limits<Real>::epsilon();
+    Real x = static_cast<Real>(25.1);
+    auto f = [](Real t) { return boost::math::cyl_bessel_j(12, t); };
+
+    Real computed = finite_difference_derivative<decltype(f), Real, 1>(f, x);
+    Real expected = cyl_bessel_j_prime(12, x);
+    Real error_estimate = 4*abs(f(x))*sqrt(eps);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "First order fd    : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 10*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 2>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, boost::math::constants::two_thirds<Real>());
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Second order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 50*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 4>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real) 4 / (Real) 5);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Fourth order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 25*error_estimate);
+
+
+    computed = finite_difference_derivative<decltype(f), Real, 6>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real)  6/ (Real) 7);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Sixth order fd    : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 100*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 8>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real)  8/ (Real) 9);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Eighth order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 25*error_estimate);
+}
+
+// Example of a function which is subject to catastrophic cancellation using finite-differences, but is almost perfectly stable using complex step:
+template<class RealOrComplex>
+RealOrComplex moler_example(RealOrComplex x)
+{
+    using std::sin;
+    using std::cos;
+    using std::exp;
+
+    RealOrComplex cosx = cos(x);
+    RealOrComplex sinx = sin(x);
+    return exp(x)/(cosx*cosx*cosx + sinx*sinx*sinx);
+}
+
+template<class RealOrComplex>
+RealOrComplex moler_example_derivative(RealOrComplex x)
+{
+    using std::sin;
+    using std::cos;
+    using std::exp;
+
+    RealOrComplex expx = exp(x);
+    RealOrComplex cosx = cos(x);
+    RealOrComplex sinx = sin(x);
+    RealOrComplex coscubed_sincubed = cosx*cosx*cosx + sinx*sinx*sinx;
+    return (expx/coscubed_sincubed)*(1 - 3*(sinx*sinx*cosx - sinx*cosx*cosx)/ (coscubed_sincubed));
+}
+
+
+template<class Real>
+void test_complex_step()
+{
+    using std::abs;
+    using std::complex;
+    using std::isfinite;
+    using std::isnormal;
+    std::cout << "Testing numerical derivatives of Bessel's function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real x = -100;
+    while ( x < 100 )
+    {
+        if (!isfinite(moler_example(x)))
+        {
+            x += 1;
+            continue;
+        }
+        Real expected = moler_example_derivative<Real>(x);
+        Real computed = complex_step_derivative(moler_example<complex<Real>>, x);
+        if (!isfinite(expected))
+        {
+            x += 1;
+            continue;
+        }
+        if (abs(expected) <= std::numeric_limits<Real>::epsilon())
+        {
+            bool issmall = computed < std::numeric_limits<Real>::epsilon();
+            BOOST_TEST(issmall);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(expected, computed, 200*std::numeric_limits<Real>::epsilon());
+        }
+        x += 1;
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(numerical_differentiation_test)
+{
+    test_complex_step<float>();
+    test_complex_step<double>();
+
+    test_bessel<float>();
+    test_bessel<double>();
+
+
+    size_t points_to_test = 1000;
+    test_order<float, 1>(points_to_test);
+    test_order<double, 1>(points_to_test);
+
+
+    test_order<float, 2>(points_to_test);
+    test_order<double, 2>(points_to_test);
+
+    test_order<float, 4>(points_to_test);
+    test_order<double, 4>(points_to_test);
+
+    test_order<float, 6>(points_to_test);
+    test_order<double, 6>(points_to_test);
+
+    test_order<float, 8>(points_to_test);
+    test_order<double, 8>(points_to_test);
+
+}
diff --git a/src/boost/libs/math/test/test_out_of_range.hpp b/src/boost/libs/math/test/test_out_of_range.hpp
new file mode 100644
index 00000000..7d9560fc
--- /dev/null
+++ b/src/boost/libs/math/test/test_out_of_range.hpp
@@ -0,0 +1,175 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_OUT_OF_RANGE_HPP
+#define BOOST_MATH_TEST_OUT_OF_RANGE_HPP
+
+#include <boost/math/special_functions/next.hpp>
+#include <boost/test/test_tools.hpp>
+
+/*` check_out_of_range functions check that bad parameters
+passed to constructors and functions throw domain_error exceptions.
+
+Usage is `check_out_of_range<DistributionType >(list-of-params);`
+Where list-of-params is a list of *valid* parameters from which the distribution can be constructed
+- ie the same number of args are passed to the function,
+as are passed to the distribution constructor.
+
+Checks:
+
+* Infinity or NaN passed in place of each of the valid params.
+* Infinity or NaN as a random variable.
+* Out-of-range random variable passed to pdf and cdf (ie outside of "range(distro)").
+* Out-of-range probability passed to quantile function and complement.
+
+but does *not* check finite but out-of-range parameters to the constructor
+because these are specific to each distribution.
+*/
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+
+//! \tparam Distro distribution class name, for example: @c students_t_distribution<RealType>.
+//! \tparam Infinite only true if support includes infinity (default false means do not allow infinity).
+template <class Distro>
+void check_support(const Distro& d, bool Infinite = false)
+{ // Checks that support and function calls are within expected limits.
+   typedef typename Distro::value_type value_type;
+   if (Infinite == false)
+   {
+     if ((boost::math::isfinite)(range(d).first) && (range(d).first != -boost::math::tools::max_value<value_type>()))
+     { // If possible, check that a random variable value just less than the bottom of the supported range throws domain errors.
+       value_type m = (range(d).first == 0) ? -boost::math::tools::min_value<value_type>() : boost::math::float_prior(range(d).first);
+       BOOST_ASSERT(m != range(d).first);
+       BOOST_ASSERT(m < range(d).first);
+       BOOST_MATH_CHECK_THROW(pdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(complement(d, m)), std::domain_error);
+     }
+     if ((boost::math::isfinite)(range(d).second) && (range(d).second != boost::math::tools::max_value<value_type>()))
+     { // If possible, check that a random variable value just more than the top of the supported range throws domain errors.
+       value_type m = (range(d).second == 0) ? boost::math::tools::min_value<value_type>() : boost::math::float_next(range(d).second);
+       BOOST_ASSERT(m != range(d).first);
+       BOOST_ASSERT(m > range(d).first);
+       BOOST_MATH_CHECK_THROW(pdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(complement(d, m)), std::domain_error);
+     }
+     if (std::numeric_limits<value_type>::has_infinity)
+     { // Infinity is available,
+       if ((boost::math::isfinite)(range(d).second))
+       {  // and top of range doesn't include infinity,
+          // check that using infinity throws domain errors.
+         BOOST_MATH_CHECK_THROW(pdf(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(complement(d, std::numeric_limits<value_type>::infinity())), std::domain_error);
+       }
+       if ((boost::math::isfinite)(range(d).first))
+       {  // and bottom of range doesn't include infinity,
+          // check that using infinity throws domain_error exception.
+         BOOST_MATH_CHECK_THROW(pdf(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(complement(d, -std::numeric_limits<value_type>::infinity())), std::domain_error);
+       }
+       // Check that using infinity with quantiles always throws domain_error exception.
+       BOOST_MATH_CHECK_THROW(quantile(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(complement(d, std::numeric_limits<value_type>::infinity())), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(complement(d, -std::numeric_limits<value_type>::infinity())), std::domain_error);
+     }
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   { // NaN is available.
+      BOOST_MATH_CHECK_THROW(pdf(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, -std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(complement(d, std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(complement(d, -std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+   }
+   // Check that using probability outside [0,1] with quantiles always throws domain_error exception.
+   BOOST_MATH_CHECK_THROW(quantile(d, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(d, 2), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, 2)), std::domain_error);
+}
+
+// Four check_out_of_range versions for distributions with zero to 3 constructor parameters.
+
+template <class Distro>
+void check_out_of_range()
+{
+   Distro d;
+   check_support(d);
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+ //     BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity()), range(d).second), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1, typename Distro::value_type p2)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1, p2);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity(), p2), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN(), p2), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1, typename Distro::value_type p2, typename Distro::value_type p3)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1, p2, p3);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity(), p2, p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::infinity(), p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, p2, std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN(), p2, p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::quiet_NaN(), p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, p2, std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+
+#endif // BOOST_MATH_TEST_OUT_OF_RANGE_HPP
diff --git a/src/boost/libs/math/test/test_owens_t.cpp b/src/boost/libs/math/test/test_owens_t.cpp
new file mode 100644
index 00000000..cee111db
--- /dev/null
+++ b/src/boost/libs/math/test/test_owens_t.cpp
@@ -0,0 +1,247 @@
+// test_owens_t.cpp
+
+// Copyright Paul A. Bristow 2012.
+// Copyright Benjamin Sobotta 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tested using some 30 decimal digit accuracy values from:
+// Fast and accurate calculation of Owen's T-function
+// Mike Patefield, and David Tandy
+// Journal of Statistical Software, 5 (5), 1-25 (2000).
+// http://www.jstatsoft.org/v05/a05/paper  Table 3, page 15
+// Values of T(h,a) accurate to thirty figures were calculated using 128 bit arithmetic by
+// evaluating (9) with m = 48, the summation over k being continued until additional terms did
+// not alter the result. The resultant values Tacc(h,a) say, were validated by evaluating (8) with
+// m = 48 (i.e. 96 point Gaussian quadrature).
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant
+#  pragma warning (disable : 4305) // 'initializing' : truncation from 'double' to 'const float'
+// ?? TODO get rid of these warnings?
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept.
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/special_functions/owens_t.hpp> // for owens_t function.
+using boost::math::owens_t;
+#include <boost/math/distributions/normal.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/array.hpp>
+
+#include "libs/math/test/handle_test_result.hpp"
+#include "libs/math/test/table_type.hpp"
+#include "libs/math/test/functor.hpp"
+#include "test_owens_t.hpp"
+
+//
+// Defining TEST_CPP_DEC_FLOAT enables testing of multiprecision support.
+// This requires the multiprecision library from sandbox/big_number.
+// Note that these tests *do not pass*, but they do give an idea of the 
+// error rates that can be expected....
+//
+#ifdef TEST_CPP_DEC_FLOAT
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+template <class R>
+inline R convert_to(const char* s)
+{
+   try{
+      return boost::lexical_cast<R>(s);
+   }
+   catch(const boost::bad_lexical_cast&)
+   {
+      return 0;
+   }
+}
+
+#define SC_(x) convert_to<T>(BOOST_STRINGIZE(x))
+#endif
+
+#include "owens_t_T7.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   if(std::numeric_limits<long double>::digits > 60)
+   {
+      add_expected_result(
+         ".*",                            // compiler
+         ".*",                            // stdlib
+         ".*",                            // platform
+         largest_type,                    // test type(s)
+         ".*",      // test data group
+         "owens_t", 500, 100);  // test function
+   }
+   else
+   {
+      add_expected_result(
+         ".*",                            // compiler
+         ".*",                            // stdlib
+         ".*",                            // platform
+         largest_type,                    // test type(s)
+         ".*",      // test data group
+         "owens_t", 60, 5);  // test function
+   }
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  expected_results();
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+  check_against_T7(0.0F); // Test float.
+  check_against_T7(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  check_against_T7(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  check_against_T7(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+  test_owens_t(0.0F, "float"); // Test float.
+  test_owens_t(0.0, "double"); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_owens_t(0.0L, "long double"); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_owens_t(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#ifdef TEST_CPP_DEC_FLOAT
+  typedef boost::multiprecision::mp_number<boost::multiprecision::cpp_dec_float<35> > cpp_dec_float_35;
+  test_owens_t(cpp_dec_float_35(0), "cpp_dec_float_35"); // Test real concept.
+  test_owens_t(boost::multiprecision::cpp_dec_float_50(0), "cpp_dec_float_50"); // Test real concept.
+  test_owens_t(boost::multiprecision::cpp_dec_float_100(0), "cpp_dec_float_100"); // Test real concept.
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_owens_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 3.57628e-006.
+  Tolerance = 6.66134e-015.
+  Tolerance = 6.66134e-015.
+  Tolerance = 6.66134e-015.
+  Tolerance = 1.78814e-005.
+  Tolerance = 3.33067e-014.
+  Tolerance = 3.33067e-014.
+  Tolerance = 3.33067e-014.
+  Testing Owens T (medium small values) with type float
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<float> Max = 0 RMS Mean=0
+  
+  
+  Testing Owens T (large and diverse values) with type float
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<float> Max = 0 RMS Mean=0
+  
+  
+  Testing Owens T (medium small values) with type double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<double> Max = 4.375 RMS Mean=0.9728
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<double> Max = 3.781 RMS Mean=0.6206
+      worst case at row: 430
+      { 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
+  
+  
+  Testing Owens T (medium small values) with type long double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<long double> Max = 4.375 RMS Mean=0.9728
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type long double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<long double> Max = 3.781 RMS Mean=0.6206
+      worst case at row: 430
+      { 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
+  
+  
+  Testing Owens T (medium small values) with type real_concept
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<real_concept> Max = 4.375 RMS Mean=1.032
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type real_concept
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<real_concept> Max = 21.04 RMS Mean=1.102
+      worst case at row: 439
+      { 3.4516773223876953, 0.98384737968444824, 0.00013923002576038691 }
+  
+  
+  
+  *** No errors detected
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_owens_t.hpp b/src/boost/libs/math/test/test_owens_t.hpp
new file mode 100644
index 00000000..d16ebd38
--- /dev/null
+++ b/src/boost/libs/math/test/test_owens_t.hpp
@@ -0,0 +1,165 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/distributions/normal.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "owens_t_T7.hpp"
+
+
+template <class RealType>
+void test_spot(
+   RealType h,    //
+   RealType a,    //
+   RealType tol)   // Test tolerance
+{
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(h, a), 3.89119302347013668966224771378e-2L, tol);
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   using namespace std;
+   // Basic sanity checks, test data is as accurate as long double,
+   // so set tolerance to a few epsilon expressed as a fraction.
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 30; // most OK with 3 eps tolerance.
+   cout << "Tolerance = " << tolerance << "." << endl;
+
+   using  ::boost::math::owens_t;
+   using ::boost::math::normal_distribution;
+   BOOST_MATH_STD_USING // ADL of std names.
+
+      // Checks of six sub-methods T1 to T6.
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.0625L), static_cast<RealType>(0.25L)), static_cast<RealType>(3.89119302347013668966224771378e-2L), tolerance);  // T1
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(6.5L), static_cast<RealType>(0.4375L)), static_cast<RealType>(2.00057730485083154100907167685E-11L), tolerance); // T2
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(7L), static_cast<RealType>(0.96875L)), static_cast<RealType>(6.39906271938986853083219914429E-13L), tolerance); // T3
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(4.78125L), static_cast<RealType>(0.0625L)), static_cast<RealType>(1.06329748046874638058307112826E-7L), tolerance); // T4
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(2.L), static_cast<RealType>(0.5L)), static_cast<RealType>(8.62507798552150713113488319155E-3L), tolerance); // T5
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(1.L), static_cast<RealType>(0.9999975L)), static_cast<RealType>(6.67418089782285927715589822405E-2L), tolerance); // T6
+   //BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(L), static_cast<RealType>(L)), static_cast<RealType>(L), tolerance);
+
+   //   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(L), static_cast<RealType>(L)), static_cast<RealType>(L), tolerance);
+
+   // Spots values using Mathematica
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(6.5L), static_cast<RealType>(0.4375L)), static_cast<RealType>(2.00057730485083154100907167684918851101649922551817956120806662022118024594547E-11L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.4375L), static_cast<RealType>(6.5L)), static_cast<RealType>(0.16540130125449396247498691826626273249659241838438244251206819782787761751256L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(7.L), static_cast<RealType>(0.96875L)), static_cast<RealType>(6.39906271938986853083219914428916013764797190941459233223182225724846022843930e-13L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.96875L), static_cast<RealType>(7.L)), static_cast<RealType>(0.08316748474602973770533230453272140919966614259525787470390475393923633179072L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(4.78125L), static_cast<RealType>(0.0625L)), static_cast<RealType>(1.06329748046874638058307112826015825291136503488102191050906959246644942646701e-7L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.0625L), static_cast<RealType>(4.78125L)), static_cast<RealType>(0.21571185819897989857261253680409017017649352928888660746045361855686569265171L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(2.L), static_cast<RealType>(0.5L)), static_cast<RealType>(0.00862507798552150713113488319154637187875641190390854291100809449487812876461L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), static_cast<RealType>(0.14158060365397839346662819588111542648867283386549027383784843786494855594607L), tolerance);
+
+   // check basic properties
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), owens_t(static_cast<RealType>(-0.5L), static_cast<RealType>(2L)));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), -owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(-2L)));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), -owens_t(static_cast<RealType>(-0.5L), static_cast<RealType>(-2L)));
+
+   // Special relations from Owen's original paper:
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5), static_cast<RealType>(0)), static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(10), static_cast<RealType>(0)), static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(10000), static_cast<RealType>(0)), static_cast<RealType>(0));
+
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(2L)), atan(static_cast<RealType>(2L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(0.5L)), atan(static_cast<RealType>(0.5L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(2000L)), atan(static_cast<RealType>(2000L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(5), static_cast<RealType>(1)), cdf(normal_distribution<RealType>(), 5) * cdf(complement(normal_distribution<RealType>(), 5)) / 2, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.125), static_cast<RealType>(1)), cdf(normal_distribution<RealType>(), 0.125) * cdf(complement(normal_distribution<RealType>(), 0.125)) / 2, tolerance);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.125), std::numeric_limits<RealType>::infinity()), cdf(complement(normal_distribution<RealType>(), 0.125)) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(5), std::numeric_limits<RealType>::infinity()), cdf(complement(normal_distribution<RealType>(), 5)) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(-0.125), std::numeric_limits<RealType>::infinity()), cdf(normal_distribution<RealType>(), -0.125) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(-5), std::numeric_limits<RealType>::infinity()), cdf(normal_distribution<RealType>(), -5) / 2, tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+template <class RealType> // Any floating-point type RealType.
+void check_against_T7(RealType)
+{
+   using namespace std;
+   // Basic sanity checks, test data is as accurate as long double,
+   // so set tolerance to a few epsilon expressed as a fraction.
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 150; // most OK with 3 eps tolerance.
+   cout << "Tolerance = " << tolerance << "." << endl;
+
+   using  ::boost::math::owens_t;
+   using namespace std; // ADL of std names.
+
+   // apply log scale because points near zero are more interesting
+   for(RealType a = static_cast<RealType>(-10.0l); a < static_cast<RealType>(3l); a += static_cast<RealType>(0.2l))
+      for(RealType h = static_cast<RealType>(-10.0l); h < static_cast<RealType>(3.5l); h += static_cast<RealType>(0.2l))
+      {
+         const RealType expa = exp(a);
+         const RealType exph = exp(h);
+         const RealType t = boost::math::owens_t(exph, expa);
+         RealType t7 = boost::math::owens_t_T7(exph, expa);
+         //if(!(boost::math::isnormal)(t) || !(boost::math::isnormal)(t7))
+         //   std::cout << "a = " << expa << " h = " << exph << " t = " << t << " t7 = " << t7 << std::endl;
+         BOOST_CHECK_CLOSE_FRACTION(t, t7, tolerance);
+      }
+
+} // template <class RealType>void test_spots(RealType)
+
+template <class Real, class T>
+void do_test_owens_t(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(OWENS_T_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type);
+#ifdef OWENS_T_FUNCTION_TO_TEST
+   pg funcp = OWENS_T_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::owens_t<value_type>;
+#else
+   pg funcp = boost::math::owens_t;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test owens_t against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "owens_t", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_owens_t(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "owens_t.ipp"
+
+   do_test_owens_t<T>(owens_t, name, "Owens T (medium small values)");
+
+#include "owens_t_large_data.ipp"
+
+   do_test_owens_t<T>(owens_t_large_data, name, "Owens T (large and diverse values)");
+}
diff --git a/src/boost/libs/math/test/test_pFq.cpp b/src/boost/libs/math/test/test_pFq.cpp
new file mode 100644
index 00000000..385e2805
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq.cpp
@@ -0,0 +1,46 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_pFq.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if defined(_MSC_FULL_VER) && (_MSC_FULL_VER < 190023026)
+//
+// Early msvc versions have <initializer_list> but can't handle
+// argument deduction of actual initializer_lists :(
+//
+#define DISABLE_TESTS
+#endif
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef DISABLE_TESTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_pFq.hpp b/src/boost/libs/math/test/test_pFq.hpp
new file mode 100644
index 00000000..50897ab9
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq.hpp
@@ -0,0 +1,312 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class Seq>
+bool is_small_a(const Seq& a)
+{
+   if (a.size() == 1)
+   {
+      auto v = *a.begin();
+      if ((v > -14) && (v < 1))
+         return true;
+   }
+   return false;
+}
+
+template <class Seq>
+bool has_negative_ab(const Seq& a, const Seq& b)
+{
+   for(auto p = a.begin(); p != a.end(); ++p)
+   {
+      if(*p < 0)
+         return true;
+   }
+   for(auto p = b.begin(); p != b.end(); ++p)
+   {
+      if(*p < 0)
+         return true;
+   }
+   return false;
+}
+
+template <class T>
+void check_pFq_result(const T& result, const T& norm, const T& expect, const std::initializer_list<T>& a, const std::initializer_list<T>& b, const T& z)
+{
+   //
+   // Ideally the error rate we calculate from comparing norm to result
+   // should be larger than the actual error.  However, in practice even
+   // if all the terms are positive and norm == result there will still
+   // be a small error from the actual summation (we could work out how
+   // much from the number of terms summed, but that's overkill for this)
+   // so we add a small fudge factor when comparing errors:
+   //
+   T err = boost::math::relative_difference(result, expect);
+   T found_err = norm / fabs(result);
+   T fudge_factor = 25;
+   if (is_small_a(a))
+      fudge_factor *= 4;  // not sure why??
+   if ((has_negative_ab(a, b)) || ((a.size() == 2) && (b.size() == 1)) || (boost::math::tools::epsilon<T>() < boost::math::tools::epsilon<double>()))
+   {
+      T min_err = boost::math::tools::epsilon<T>() * 600 / found_err;
+      fudge_factor = (std::max)(fudge_factor, min_err);
+   }
+   if ((((err > fudge_factor * found_err) && (found_err < 1)) || (boost::math::isnan)(found_err)) && (!(boost::math::isinf)(result)))
+   {
+      std::cout << "Found error = " << err << " error from norm = " << found_err << std::endl;
+      std::cout << "Testing fudge factor = " << fudge_factor << std::endl;
+      std::cout << "  a = ";
+      for (auto pa = a.begin(); pa != a.end(); ++pa)
+         std::cout << *pa << ",";
+      std::cout << "\n  b = ";
+      for (auto pb = b.begin(); pb != b.end(); ++pb)
+         std::cout << *pb << ",";
+      std::cout << "\n  z = " << z << std::endl;
+      //
+      // This will fail if we've got here:
+      //
+      BOOST_CHECK_LE(err, fudge_factor * found_err);
+      BOOST_CHECK(!(boost::math::isnan)(found_err));
+   }
+}
+
+template <class T>
+void test_spots_1F0(T, const char*)
+{
+   using std::pow;
+   
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(4)), T(-27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(0.5)), T(0.125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(0.5)), T(8), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(4)), T(T(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-0.5)), pow(T(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-2)), T(1 / T(27)), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-4)), T(T(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-0.5)), pow(T(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-2)), T(27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-4)), T(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3) }, {}, T(1)), std::domain_error);
+   //BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3.25) }, {}, T(1)), std::domain_error);
+   //BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3.25) }, {}, T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3.25) }, {}, T(2)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3.25) }, {}, T(2)), std::domain_error);
+}
+
+template <class T>
+void test_spots_0F1(T, const char*)
+{
+   T tolerance = boost::math::tools::epsilon<T>() * 50000;
+
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({},  { T(3) }, T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({}, { T(-3) }, T(0)), 1);
+   //BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({}, { T(0) }, T(0)), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(0) }, T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(-1) }, T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(-10) }, T(-5)), std::domain_error);
+
+   static const boost::array<boost::array<T, 3>, 35> hypergeometric_pFq_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      //{ SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      //{ SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      //{ SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      //{ SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      //{ SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      //{ SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      //{ SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      //{ SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      //{ SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      //{ SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      //{ SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      //{ SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      //{ SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      //{ SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      //{ SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   for (auto row = hypergeometric_pFq_integer_data.begin(); row != hypergeometric_pFq_integer_data.end(); ++row)
+   {
+      BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({},  { (*row)[0] }, (*row)[1]), (*row)[2], tolerance);
+   }
+}
+
+template <class T>
+void test_spots_1F1(T, const char*)
+{
+#include "hypergeometric_1F1.ipp"
+
+   for (auto row = hypergeometric_1F1.begin(); row != hypergeometric_1F1.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], { (*row)[0] }, { (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_1F1_b(T, const char*)
+{
+#include "hypergeometric_1F1_big.ipp"
+
+   for (auto row = hypergeometric_1F1_big.begin(); row != hypergeometric_1F1_big.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], { (*row)[0] }, { (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_2F1(T, const char*)
+{
+#include "hypergeometric_2F1.ipp"
+
+   for (auto row = hypergeometric_2F1.begin(); row != hypergeometric_2F1.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3], &norm);
+         check_pFq_result(result, norm, (*row)[4], { (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_0F2(T, const char*)
+{
+#include "hypergeometric_0F2.ipp"
+
+   for (auto row = hypergeometric_0F2.begin(); row != hypergeometric_0F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({}, { (*row)[0], (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], {}, { (*row)[0], (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_1F2(T, const char*)
+{
+#include "hypergeometric_1F2.ipp"
+
+   for (auto row = hypergeometric_1F2.begin(); row != hypergeometric_1F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3], &norm);
+         check_pFq_result(result, norm, (*row)[4], { (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_2F2(T, const char*)
+{
+#include "hypergeometric_2F2.ipp"
+
+   for (auto row = hypergeometric_2F2.begin(); row != hypergeometric_2F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4], &norm);
+         check_pFq_result(result, norm, (*row)[5], { (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots_1F0(z, type_name);
+   test_spots_0F1(z, type_name);
+   test_spots_1F1(z, type_name);
+   test_spots_1F1_b(z, type_name);
+   test_spots_0F2(z, type_name);
+   test_spots_1F2(z, type_name);
+   test_spots_2F2(z, type_name);
+   test_spots_2F1(z, type_name);
+}
diff --git a/src/boost/libs/math/test/test_pFq_precision.cpp b/src/boost/libs/math/test/test_pFq_precision.cpp
new file mode 100644
index 00000000..6e030c01
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq_precision.cpp
@@ -0,0 +1,247 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(mp_type, 1000000, x)
+#endif
+
+typedef boost::multiprecision::mpfr_float mp_type;
+
+void test_spots_1F0()
+{
+   using std::pow;
+
+   mp_type tolerance = 2e-20;
+
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(2), 20), mp_type(-1), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(4), 20), mp_type(-27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(0.5), 20), mp_type(0.125), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(0.5), 20), mp_type(8), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(2), 20), mp_type(-1), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(4), 20), mp_type(mp_type(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-0.5), 20), pow(mp_type(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-2), 20), mp_type(1 / mp_type(27)), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-4), 20), mp_type(mp_type(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-0.5), 20), pow(mp_type(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-2), 20), mp_type(27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-4), 20), mp_type(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3.25) }, {}, mp_type(1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3.25) }, {}, mp_type(2), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(-3.25) }, {}, mp_type(2), 20), std::domain_error);
+}
+
+void test_spots_0F1()
+{
+   mp_type tolerance = 2e-20;
+
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(3) }, mp_type(0), 20), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(-3) }, mp_type(0), 20), 1);
+   //BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(0) }, mp_type(0), 20), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(0) }, mp_type(-1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(-1) }, mp_type(-1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(-10) }, mp_type(-5), 20), std::domain_error);
+
+   static const boost::array<boost::array<mp_type, 3>, 35> hypergeometric_pFq_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      //{ SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      //{ SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      //{ SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      //{ SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      //{ SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      //{ SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      //{ SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      //{ SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      //{ SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      //{ SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      //{ SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      //{ SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      //{ SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      //{ SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      //{ SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   for (auto row = hypergeometric_pFq_integer_data.begin(); row != hypergeometric_pFq_integer_data.end(); ++row)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({}, { (*row)[0] }, (*row)[1], 20), (*row)[2], tolerance);
+   }
+}
+
+void test_spots_1F1()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F1.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F1.begin(); row != hypergeometric_1F1.end(); ++row)
+   {
+      try {
+         mp_type norm;
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_1F1_b()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F1_big.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F1_big.begin(); row != hypergeometric_1F1_big.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_2F1()
+{
+   typedef mp_type T;
+#include "hypergeometric_2F1.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_2F1.begin(); row != hypergeometric_2F1.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[4], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_0F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_0F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_0F2.begin(); row != hypergeometric_0F2.end(); ++row)
+   {
+      try {
+         T result = boost::math::hypergeometric_pFq_precision({}, { (*row)[0], (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_1F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F2.begin(); row != hypergeometric_1F2.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[4], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_2F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_2F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_2F2.begin(); row != hypergeometric_2F2.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[5], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_spots_1F0();
+   test_spots_0F1();
+   test_spots_1F1();
+   test_spots_1F1_b();
+   test_spots_2F1();
+   test_spots_0F2();
+   test_spots_1F2();
+   test_spots_2F2();
+
+   mpfr_free_cache();
+}
+
diff --git a/src/boost/libs/math/test/test_pareto.cpp b/src/boost/libs/math/test/test_pareto.cpp
new file mode 100644
index 00000000..7ea38740
--- /dev/null
+++ b/src/boost/libs/math/test/test_pareto.cpp
@@ -0,0 +1,365 @@
+// Copyright Paul A. Bristow 2007, 2009.
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_pareto.cpp
+
+// http://en.wikipedia.org/wiki/pareto_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3661.htm
+// Also:
+// Weisstein, Eric W. "pareto Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/paretoDistribution.html
+
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
+# pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/pareto.hpp>
+    using boost::math::pareto_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+  template <class RealType>
+  void check_pareto(RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      x),                                            // random variable.
+      p,                                             // probability.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      complement(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      x)),                                           // random variable.
+      q,                                             // probability complement.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      p),                                            // probability.
+      x,                                             // random variable.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      complement(
+      pareto_distribution<RealType>(scale, shape),    // distribution.
+      q)),                                        // probability complement.
+      x,                                             // random variable.
+      tol);                                          // tolerance eps.
+  } // check_pareto
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks.
+   //
+   // Tolerance are based on units of epsilon, but capped at
+   // double precision, since that's the limit of our test data:
+   //
+   RealType tol = (std::max)((RealType)boost::math::tools::epsilon<double>(), boost::math::tools::epsilon<RealType>());
+   RealType tol5eps = tol * 5;
+   RealType tol10eps = tol * 10;
+   RealType tol100eps = tol * 100;
+   RealType tol1000eps = tol * 1000;
+
+   check_pareto(
+      static_cast<RealType>(1.1L), //
+      static_cast<RealType>(5.5L),
+      static_cast<RealType>(2.2L),
+      static_cast<RealType>(0.97790291308792L),
+      static_cast<RealType>(0.0220970869120796L),
+      tol10eps * 4);
+
+   check_pareto(
+      static_cast<RealType>(0.5L),
+      static_cast<RealType>(10.1L),
+      static_cast<RealType>(1.5L),
+      static_cast<RealType>(0.99998482686481L),
+      static_cast<RealType>(1.51731351900608e-005L),
+      tol100eps * 1000); // Much less accurate as p close to unity.
+
+   check_pareto(
+      static_cast<RealType>(0.1L),
+      static_cast<RealType>(2.3L),
+      static_cast<RealType>(1.5L),
+      static_cast<RealType>(0.99802762220697L),
+      static_cast<RealType>(0.00197237779302972L),
+      tol1000eps);
+
+   // Example from 23.3 page 259
+   check_pareto(
+      static_cast<RealType>(2.30444301457005L),
+      static_cast<RealType>(4),
+      static_cast<RealType>(2.4L),
+      static_cast<RealType>(0.15L),
+      static_cast<RealType>(0.85L),
+      tol100eps);
+
+   check_pareto(
+      static_cast<RealType>(2),
+      static_cast<RealType>(3),
+      static_cast<RealType>(3.4L),
+      static_cast<RealType>(0.796458375737838L),
+      static_cast<RealType>(0.203541624262162L),
+      tol10eps);
+
+   check_pareto( // Probability near 0.5
+      static_cast<RealType>(2),
+      static_cast<RealType>(2),
+      static_cast<RealType>(3),
+      static_cast<RealType>(0.5555555555555555555555555555555555555556L),
+      static_cast<RealType>(0.4444444444444444444444444444444444444444L),
+      tol5eps); // accurate.
+
+
+   // Tests for:
+
+   // pdf for shapes 1, 2 & 3 (exact)
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(pareto_distribution<RealType>(1, 1), 1),
+      static_cast<RealType>(1), //
+      tol5eps);
+
+    BOOST_CHECK_CLOSE_FRACTION(   pdf(pareto_distribution<RealType>(1, 2), 1),
+      static_cast<RealType>(2), //
+      tol5eps);
+
+     BOOST_CHECK_CLOSE_FRACTION(   pdf(pareto_distribution<RealType>(1, 3), 1),
+      static_cast<RealType>(3), //
+      tol5eps);
+
+   // cdf
+   BOOST_CHECK_EQUAL( // x = scale
+      cdf(pareto_distribution<RealType>(1, 1), 1),
+      static_cast<RealType>(0) );
+
+   // Compare with values from StatCalc K. Krishnamoorthy,  ISBN 1-58488-635-8 eq 23.1.3
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4)),
+      static_cast<RealType>(0.929570372227626L), tol5eps);
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4)),
+      static_cast<RealType>(1 - 0.0704296277723743L), tol5eps);
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(complement(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4))),
+      static_cast<RealType>(0.0704296277723743L), tol5eps);
+
+   // quantile
+   BOOST_CHECK_EQUAL( // x = scale
+      quantile(pareto_distribution<RealType>(1, 1), 0),
+      static_cast<RealType>(1) );
+
+   BOOST_CHECK_EQUAL( // x = scale
+      quantile(complement(pareto_distribution<RealType>(1, 1), 1)),
+      static_cast<RealType>(1) );
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(complement(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4))),
+      static_cast<RealType>(0.0704296277723743L), tol5eps);
+
+    using namespace std; // ADL of std names.
+
+    pareto_distribution<RealType> pareto15(1, 5);
+    // Note: shape must be big enough (5) that all moments up to kurtosis are defined
+    // to allow all functions to be tested.
+
+    // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+       mean(pareto15), static_cast<RealType>(1.25), tol5eps); // 1.25 == 5/4
+    BOOST_CHECK_EQUAL(
+       mean(pareto15), static_cast<RealType>(1.25)); // 1.25 == 5/4 (expect exact so check equal)
+
+    pareto_distribution<RealType> p12(1, 2); //
+    BOOST_CHECK_EQUAL(
+       mean(p12), static_cast<RealType>(2)); // Exactly two.
+
+    // variance:
+   BOOST_CHECK_CLOSE_FRACTION(
+       variance(pareto15), static_cast<RealType>(0.10416666666666667L), tol5eps);
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+       standard_deviation(pareto15), static_cast<RealType>(0.32274861218395140L), tol5eps);
+    // hazard:   No independent test values found yet.
+    //BOOST_CHECK_CLOSE_FRACTION(
+    //   hazard(pareto15, x), pdf(pareto15, x) / cdf(complement(pareto15, x)), tol5eps);
+    //// cumulative hazard:
+    //BOOST_CHECK_CLOSE_FRACTION(
+    //   chf(pareto15, x), -log(cdf(complement(pareto15, x))), tol5eps);
+    //// coefficient_of_variation:
+    BOOST_CHECK_CLOSE_FRACTION(
+       coefficient_of_variation(pareto15), static_cast<RealType>(0.25819888974716110L), tol5eps);
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+       mode(pareto15), static_cast<RealType>(1), tol5eps);
+
+    BOOST_CHECK_CLOSE_FRACTION(
+       median(pareto15), static_cast<RealType>(1.1486983549970351L), tol5eps);
+
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+       skewness(pareto15), static_cast<RealType>(4.6475800154489004L), tol5eps);
+    // kertosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis(pareto15), static_cast<RealType>(73.8L), tol5eps);
+    // kertosis excess:
+    BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis_excess(pareto15), static_cast<RealType>(70.8L), tol5eps);
+    // Check difference between kurtosis and excess:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(pareto15), kurtosis(pareto15) - static_cast<RealType>(3L), tol5eps);
+    // Check kurtosis excess = kurtosis - 3;
+
+    // Error condition checks:
+    check_out_of_range<pareto_distribution<RealType> >(1, 1);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(0, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, 0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(-1, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, -1), 0), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(pareto_distribution<RealType>(1, 1), 0), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(quantile(pareto_distribution<RealType>(1, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(pareto_distribution<RealType>(1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate pareto distribution using the two convenience methods:
+   boost::math::pareto myp1(1., 1); // Using typedef
+   pareto_distribution<> myp2(1., 1); // Using default RealType double.
+  boost::math::pareto pareto11; // Use default values (scale = 1, shape = 1).
+  // Note NOT pareto11() as the compiler will interpret as a function!
+   // Basic sanity-check spot values.
+
+  BOOST_CHECK_EQUAL(pareto11.scale(), 1); // Check defaults again.
+  BOOST_CHECK_EQUAL(pareto11.shape(), 1);
+  BOOST_CHECK_EQUAL(myp1.scale(), 1);
+  BOOST_CHECK_EQUAL(myp1.shape(), 1);
+  BOOST_CHECK_EQUAL(myp2.scale(), 1);
+  BOOST_CHECK_EQUAL(myp2.shape(), 1);
+
+  // Test range and support using double only,
+  // because it supports numeric_limits max for pseudo-infinity.
+  BOOST_CHECK_EQUAL(range(myp2).first, 0); // range 0 to +infinity
+  BOOST_CHECK_EQUAL(range(myp2).second, (numeric_limits<double>::max)());
+  BOOST_CHECK_EQUAL(support(myp2).first, myp2.scale()); // support scale to + infinity.
+  BOOST_CHECK_EQUAL(support(myp2).second, (numeric_limits<double>::max)());
+
+  // Check some bad parameters to the distribution.
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::pareto mypm1(-1, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp0(0, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp1m1(1, -1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp10(1, 0), std::domain_error); // Using typedef
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(-1, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(0, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, -1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, 0), std::domain_error); // Using typedef
+#endif
+
+  // Check some moments that should fail because shape not big enough.
+  BOOST_MATH_CHECK_THROW(variance(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(standard_deviation(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(skewness(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(myp2), std::domain_error);
+
+  // Test on extreme values of distribution parameters,
+  // using just double because it has numeric_limit infinity etc.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::pareto mypinf1(+std::numeric_limits<double>::infinity(), 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp1inf(1, +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto mypinf1(+std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::pareto(+std::numeric_limits<double>::infinity(), 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(+std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+#endif
+
+  // Test on extreme values of random variate x, using just double because it has numeric_limit infinity etc..
+  // No longer allow x to be + or - infinity, then these tests should throw.
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+
+  BOOST_CHECK_EQUAL(pdf(pareto11, 0.5), 0); // x < scale but > 0
+  BOOST_CHECK_EQUAL(pdf(pareto11, (std::numeric_limits<double>::min)()), 0); // x almost zero but > 0
+  BOOST_CHECK_EQUAL(pdf(pareto11, 1), 1); // x == scale, result == shape == 1
+  BOOST_CHECK_EQUAL(pdf(pareto11, +(std::numeric_limits<double>::max)()), 0); // x = +max, pdf has fallen to zero.
+
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, 0), std::domain_error); // x == 0
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -1), std::domain_error); // x = -1
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -(std::numeric_limits<double>::max)()), std::domain_error); // x = - max
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -(std::numeric_limits<double>::min)()), std::domain_error); // x = - min
+
+  BOOST_CHECK_EQUAL(cdf(pareto11, 1), 0); // x == scale, cdf = zero.
+  BOOST_CHECK_EQUAL(cdf(pareto11, +(std::numeric_limits<double>::max)()), 1); // x = + max, cdf = unity.
+
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, 0), std::domain_error); // x == 0
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -(std::numeric_limits<double>::min)()), std::domain_error); // x = - min,
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -(std::numeric_limits<double>::max)()), std::domain_error); // x = - max,
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tol5eps = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tol5eps = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Compiling...
+test_pareto.cpp
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_pareto.exe"
+Running 1 test case...
+*** No errors detected
+
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_poisson.cpp b/src/boost/libs/math/test/test_poisson.cpp
new file mode 100644
index 00000000..3d54e5a9
--- /dev/null
+++ b/src/boost/libs/math/test/test_poisson.cpp
@@ -0,0 +1,650 @@
+// test_poisson.cpp
+
+// Copyright Paul A. Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Poisson Cumulative Distribution Function.
+
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/poisson.hpp>
+    using boost::math::poisson_distribution;
+#include <boost/math/tools/test.hpp> // for real_concept
+
+#include <boost/math/special_functions/gamma.hpp> // for (incomplete) gamma.
+//   using boost::math::qamma_Q;
+#include "table_type.hpp"
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+   using std::showpoint;
+   using std::ios;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, tolerance is about numeric_limits<RealType>::digits10 decimal places,
+   // guaranteed for type RealType, eg 6 for float, 15 for double,
+   // expressed as a percentage (so -2) for BOOST_CHECK_CLOSE,
+
+   int decdigits = numeric_limits<RealType>::digits10;
+  // May eb >15 for 80 and 128-bit FP typtes.
+  if (decdigits <= 0)
+  { // decdigits is not defined, for example real concept,
+    // so assume precision of most test data is double (for example, MathCAD).
+     decdigits = numeric_limits<double>::digits10; // == 15 for 64-bit
+  }
+  if (decdigits > 15 ) // numeric_limits<double>::digits10)
+  { // 15 is the accuracy of the MathCAD test data.
+    decdigits = 15; // numeric_limits<double>::digits10;
+  }
+
+   decdigits -= 1; // Perhaps allow some decimal digit(s) margin of numerical error.
+   RealType tolerance = static_cast<RealType>(std::pow(10., static_cast<double>(2-decdigits))); // 1e-6 (-2 so as %)
+   tolerance *= 2; // Allow some bit(s) small margin (2 means + or - 1 bit) of numerical error.
+   // Typically 2e-13% = 2e-15 as fraction for double.
+
+   // Sources of spot test values:
+
+  // Many be some combinations for which the result is 'exact',
+  // or at least is good to 40 decimal digits.
+   // 40 decimal digits includes 128-bit significand User Defined Floating-Point types,
+   
+   // Best source of accurate values is:
+   // Mathworld online calculator (40 decimal digits precision, suitable for up to 128-bit significands)
+   // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=GammaRegularized
+   // GammaRegularized is same as gamma incomplete, gamma or gamma_q(a, x) or Q(a, z).
+
+  // http://documents.wolfram.com/calculationcenter/v2/Functions/ListsMatrices/Statistics/PoissonDistribution.html
+
+  // MathCAD defines ppois(k, lambda== mean) as k integer, k >=0.
+  // ppois(0, 5) =  6.73794699908547e-3
+  // ppois(1, 5) = 0.040427681994513;
+  // ppois(10, 10) = 5.830397501929850E-001
+  // ppois(10, 1) = 9.999999899522340E-001
+  // ppois(5,5) = 0.615960654833065
+
+  // qpois returns inverse Poission distribution, that is the smallest (floor) k so that ppois(k, lambda) >= p
+  // p is real number, real mean lambda > 0
+  // k is approximately the integer for which probability(X <= k) = p
+  // when random variable X has the Poisson distribution with parameters lambda.
+  // Uses discrete bisection.
+  // qpois(6.73794699908547e-3, 5) = 1
+  // qpois(0.040427681994513, 5) = 
+
+  // Test Poisson with spot values from MathCAD 'known good'.
+
+  using boost::math::poisson_distribution;
+  using  ::boost::math::poisson;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+   // Check that bad arguments throw.
+   BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(0)),  // even for a good k.
+      std::domain_error); // Expected error to be thrown.
+
+    BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(-1)), // mean negative is bad.
+      static_cast<RealType>(0)),
+      std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unit OK,
+      static_cast<RealType>(-1)),  // but negative events is bad.
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(99999)),  // for any k events. 
+      std::domain_error);
+  
+  BOOST_MATH_CHECK_THROW(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(99999)),  // for any k events. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero.
+      static_cast<RealType>(0.5)),  // probability OK. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(-1)), 
+      static_cast<RealType>(-1)),  // bad probability. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(-1)),  // bad probability. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(1)),  // bad probability. 
+      std::overflow_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(complement(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(0))),  // bad probability. 
+      std::overflow_error);
+
+  BOOST_CHECK_EQUAL(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(0)),  // bad probability. 
+      0);
+
+  BOOST_CHECK_EQUAL(
+     quantile(complement(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(1))),  // bad probability. 
+      0);
+
+  // Check some test values.
+
+  BOOST_CHECK_CLOSE( // mode
+     mode(poisson_distribution<RealType>(static_cast<RealType>(4))), // mode = mean = 4.
+      static_cast<RealType>(4), // mode.
+         tolerance);
+
+  //BOOST_CHECK_CLOSE( // mode
+  //   median(poisson_distribution<RealType>(static_cast<RealType>(4))), // mode = mean = 4.
+  //    static_cast<RealType>(4), // mode.
+      //   tolerance);
+  poisson_distribution<RealType> dist4(static_cast<RealType>(40));
+
+  BOOST_CHECK_CLOSE( // median
+     median(dist4), // mode = mean = 4. median = 40.328333333333333 
+      quantile(dist4, static_cast<RealType>(0.5)), // 39.332839138842637
+         tolerance);
+
+  // PDF
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(0)),   
+      static_cast<RealType>(1.831563888873410E-002), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(2)),   
+      static_cast<RealType>(1.465251111098740E-001), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(20)), // mean big.
+      static_cast<RealType>(1)),   //  k small
+      static_cast<RealType>(4.122307244877130E-008), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(20)),   //  K>> mean 
+      static_cast<RealType>(8.277463646553730E-009), // probability.
+         tolerance);
+  
+  // CDF
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(0)),  // zero k events. 
+      static_cast<RealType>(3.678794411714420E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(1)),  // one k event. 
+      static_cast<RealType>(7.357588823428830E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(2)),  // two k events. 
+      static_cast<RealType>(9.196986029286060E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(10)),  // two k events. 
+      static_cast<RealType>(9.999999899522340E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(15)),  // two k events. 
+      static_cast<RealType>(9.999999999999810E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(16)),  // two k events. 
+      static_cast<RealType>(9.999999999999990E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(17)),  // two k events. 
+      static_cast<RealType>(1.), // probability unity for double.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(33)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(100)), // mean 100.
+      static_cast<RealType>(33)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(6.328271240363390E-15), // probability is tiny.
+         tolerance * static_cast<RealType>(2e11)); // 6.3495253382825722e-015 MathCAD
+      // Note that there two tiny probability are much more different.
+
+   BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(100)), // mean 100.
+      static_cast<RealType>(34)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.898481372109020E-14), // probability is tiny.
+         tolerance*static_cast<RealType>(2e11)); //         1.8984813721090199e-014 MathCAD
+
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(33)), // mean = k
+      static_cast<RealType>(33)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(5.461191812386560E-1), // probability.
+         tolerance);
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(33)), // mean = k-1
+      static_cast<RealType>(34)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(6.133535681502950E-1), // probability.
+         tolerance);
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(34)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.615960654833065), // probability.
+         tolerance);
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(1)),  // k events. 
+      static_cast<RealType>(0.040427681994512805), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(0)),  // k events (uses special case formula, not gamma). 
+      static_cast<RealType>(0.006737946999085467), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1.)), // mean
+      static_cast<RealType>(0)),  // k events (uses special case formula, not gamma). 
+      static_cast<RealType>(0.36787944117144233), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(10.)), // mean
+      static_cast<RealType>(10)),  // k events. 
+      static_cast<RealType>(0.5830397501929856), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.785130387030406), // probability.
+         tolerance);
+
+  // complement CDF
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5))),  // k events. 
+      static_cast<RealType>(1 - 0.785130387030406), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(0))),  // Zero k events (uses special case formula, not gamma).
+      static_cast<RealType>(0.98168436111126578), // probability.
+         tolerance);
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(1.)), // mean
+      static_cast<RealType>(0))),  // Zero k events (uses special case formula, not gamma).
+      static_cast<RealType>(0.63212055882855767), // probability.
+         tolerance);
+
+  // Example where k is bigger than max_factorial (>34 for float)
+  // (therefore using log gamma so perhaps less accurate).
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(40.)), // mean
+      static_cast<RealType>(40)),  // k events. 
+      static_cast<RealType>(0.5419181783625430), // probability.
+         tolerance);
+
+   // Quantile & complement.
+  BOOST_CHECK_CLOSE(
+    boost::math::quantile(
+         poisson_distribution<RealType>(5),  // mean.
+         static_cast<RealType>(0.615960654833065)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 5
+         tolerance/5); // 
+
+  // EQUAL is too optimistic - fails [5.0000000000000124 != 5]
+  // BOOST_CHECK_EQUAL(boost::math::quantile( // 
+  //       poisson_distribution<RealType>(5.),  // mean.
+  //       static_cast<RealType>(0.615960654833065)),  //  probability.
+  //       static_cast<RealType>(5.)); // Expect k = 5 events.
+ 
+  BOOST_CHECK_CLOSE(boost::math::quantile(
+         poisson_distribution<RealType>(4),  // mean.
+         static_cast<RealType>(0.785130387030406)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 5 events.
+         tolerance/5); 
+
+  // Check on quantile of other examples of inverse of cdf.
+  BOOST_CHECK_CLOSE( 
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(10.)), // mean
+      static_cast<RealType>(10)),  // k events. 
+      static_cast<RealType>(0.5830397501929856), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(boost::math::quantile( // inverse of cdf above.
+         poisson_distribution<RealType>(10.),  // mean.
+         static_cast<RealType>(0.5830397501929856)),  //  probability.
+         static_cast<RealType>(10.), // Expect k = 10 events.
+         tolerance/5); 
+
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.785130387030406), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(boost::math::quantile( // inverse of cdf above.
+         poisson_distribution<RealType>(4.),  // mean.
+         static_cast<RealType>(0.785130387030406)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 10 events.
+         tolerance/5); 
+
+
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.785130387030406)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(6.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.77)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(7.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.75)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(6.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  BOOST_CHECK_CLOSE(
+    boost::math::quantile(
+         complement(
+           poisson_distribution<RealType>(4),
+           static_cast<RealType>(1 - 0.785130387030406))),  // complement.
+           static_cast<RealType>(5), // Expect k = 5 events.
+         tolerance/5);
+
+  BOOST_CHECK_EQUAL(boost::math::quantile( // Check case when probability < cdf(0) (== pdf(0))
+         poisson_distribution<RealType>(1),  // mean is small, so cdf and pdf(0) are about 0.35.
+         static_cast<RealType>(0.0001)),  //  probability < cdf(0).
+         static_cast<RealType>(0)); // Expect k = 0 events exactly.
+          
+  BOOST_CHECK_EQUAL(
+    boost::math::quantile(
+         complement(
+           poisson_distribution<RealType>(1),
+           static_cast<RealType>(0.9999))),  // complement, so 1-probability < cdf(0)
+           static_cast<RealType>(0)); // Expect k = 0 events exactly.
+
+  //
+  // Test quantile policies against test data:
+  //
+#define T RealType
+#include "poisson_quantile.ipp"
+
+  for(unsigned i = 0; i < poisson_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 20;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 7;
+     //
+     // Check full real value first:
+     //
+     poisson_distribution<RealType, P1> p1(poisson_quantile_data[i][0]);
+     RealType x = quantile(p1, poisson_quantile_data[i][1]);
+     BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][2], tol);
+     x = quantile(complement(p1, poisson_quantile_data[i][1]));
+     BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][3], tol * 3);
+     //
+     // Now with round down to integer:
+     //
+     poisson_distribution<RealType, P2> p2(poisson_quantile_data[i][0]);
+     x = quantile(p2, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][2]));
+     x = quantile(complement(p2, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][3]));
+     //
+     // Now with round up to integer:
+     //
+     poisson_distribution<RealType, P3> p3(poisson_quantile_data[i][0]);
+     x = quantile(p3, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, ceil(poisson_quantile_data[i][2]));
+     x = quantile(complement(p3, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, ceil(poisson_quantile_data[i][3]));
+     //
+     // Now with round to integer "outside":
+     //
+     poisson_distribution<RealType, P4> p4(poisson_quantile_data[i][0]);
+     x = quantile(p4, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? floor(poisson_quantile_data[i][2]) : ceil(poisson_quantile_data[i][2]));
+     x = quantile(complement(p4, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? ceil(poisson_quantile_data[i][3]) : floor(poisson_quantile_data[i][3]));
+     //
+     // Now with round to integer "inside":
+     //
+     poisson_distribution<RealType, P5> p5(poisson_quantile_data[i][0]);
+     x = quantile(p5, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? ceil(poisson_quantile_data[i][2]) : floor(poisson_quantile_data[i][2]));
+     x = quantile(complement(p5, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? floor(poisson_quantile_data[i][3]) : ceil(poisson_quantile_data[i][3]));
+     //
+     // Now with round to nearest integer:
+     //
+     poisson_distribution<RealType, P6> p6(poisson_quantile_data[i][0]);
+     x = quantile(p6, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][2] + 0.5f));
+     x = quantile(complement(p6, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][3] + 0.5f));
+  }
+   check_out_of_range<poisson_distribution<RealType> >(1);
+} // template <class RealType>void test_spots(RealType)
+
+//
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct normal distribution using the two convenience methods:
+  using namespace boost::math;
+  poisson myp1(2); // Using typedef
+   poisson_distribution<> myp2(2); // Using default RealType double.
+
+   // Basic sanity-check spot values.
+
+  // Some plain double examples & tests:
+  cout.precision(17); // double max_digits10
+  cout.setf(ios::showpoint);
+  
+  poisson mypoisson(4.); // // mean = 4, default FP type is double.
+  cout << "mean(mypoisson, 4.) == " << mean(mypoisson) << endl;
+  cout << "mean(mypoisson, 0.) == " << mean(mypoisson) << endl;
+  cout << "cdf(mypoisson, 2.) == " << cdf(mypoisson, 2.) << endl;
+  cout << "pdf(mypoisson, 2.) == " << pdf(mypoisson, 2.) << endl;
+  
+  // poisson mydudpoisson(0.);
+  // throws (if BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error).
+
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::domain_error);// Mean must be > 0.
+  BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::logic_error);// Mean must be > 0.
+#else
+  BOOST_MATH_CHECK_THROW(poisson(-1), std::domain_error);// Mean must be > 0.
+  BOOST_MATH_CHECK_THROW(poisson(-1), std::logic_error);// Mean must be > 0.
+#endif
+  // Passes the check because logic_error is a parent????
+  // BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::overflow_error); // fails the check
+  // because overflow_error is unrelated - except from std::exception
+  BOOST_MATH_CHECK_THROW(cdf(mypoisson, -1), std::domain_error); // k must be >= 0
+
+  BOOST_CHECK_EQUAL(mean(mypoisson), 4.);
+  BOOST_CHECK_CLOSE(
+  pdf(mypoisson, 2.),  // k events = 2. 
+    1.465251111098740E-001, // probability.
+      5e-13);
+
+  BOOST_CHECK_CLOSE(
+  cdf(mypoisson, 2.),  // k events = 2. 
+    0.238103305553545, // probability.
+      5e-13);
+
+
+#if 0
+  // Compare cdf from finite sum of pdf and gamma_q.
+  using boost::math::cdf;
+  using boost::math::pdf;
+
+  double mean = 4.;
+  cout.precision(17); // double max_digits10
+  cout.setf(ios::showpoint);
+  cout << showpoint << endl;  // Ensure trailing zeros are shown.
+  // This also helps show the expected precision max_digits10
+  //cout.unsetf(ios::showpoint); // No trailing zeros are shown.
+
+  cout << "k          pdf                     sum                  cdf                   diff" << endl;
+  double sum = 0.;
+  for (int i = 0; i <= 50; i++)
+  {
+   cout << i << ' ' ;
+   double p =  pdf(poisson_distribution<double>(mean), static_cast<double>(i));
+   sum += p;
+
+   cout << p << ' ' << sum << ' ' 
+   << cdf(poisson_distribution<double>(mean), static_cast<double>(i)) << ' ';
+     {
+       cout << boost::math::gamma_q<double>(i+1, mean); // cdf
+       double diff = boost::math::gamma_q<double>(i+1, mean) - sum; // cdf -sum
+       cout << setprecision (2) << ' ' << diff; // 0 0 to 4, 1 eps 5 to 9, 10 to 20 2 eps, 21 upwards 3 eps
+      
+     }
+    BOOST_CHECK_CLOSE(
+    cdf(mypoisson, static_cast<double>(i)),
+      sum, // of pdfs.
+      4e-14); // Fails at 2e-14
+   // This call puts the precision etc back to default 6 !!!
+   cout << setprecision(17) << showpoint;
+
+
+     cout << endl;
+  }
+
+   cout << cdf(poisson_distribution<double>(5), static_cast<double>(0)) << ' ' << endl; // 0.006737946999085467
+   cout << cdf(poisson_distribution<double>(5), static_cast<double>(1)) << ' ' << endl; // 0.040427681994512805
+   cout << cdf(poisson_distribution<double>(2), static_cast<double>(3)) << ' ' << endl; // 0.85712346049854715 
+
+   { // Compare approximate formula in Wikipedia with quantile(half)
+     for (int i = 1; i < 100; i++)
+     {
+       poisson_distribution<double> distn(static_cast<double>(i));
+       cout << i << ' ' << median(distn) << ' ' << quantile(distn, 0.5) << ' ' 
+         << median(distn) - quantile(distn, 0.5) << endl; // formula appears to be out-by-one??
+     }  // so quantile(half) used via derived accressors.
+   }
+#endif
+
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+#ifdef TEST_POISSON
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  if (numeric_limits<long double>::digits10 > numeric_limits<double>::digits10)
+  { // long double is better than double (so not MSVC where they are same).
+#ifdef TEST_LDOUBLE
+     test_spots(0.0L); // Test long double.
+#endif
+  }
+
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_poisson.exe"
+Running 1 test case...
+mean(mypoisson, 4.) == 4.0000000000000000
+mean(mypoisson, 0.) == 4.0000000000000000
+cdf(mypoisson, 2.) == 0.23810330555354431
+pdf(mypoisson, 2.) == 0.14652511110987343
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_policy.cpp b/src/boost/libs/math/test/test_policy.cpp
new file mode 100644
index 00000000..05ac4b77
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy.cpp
@@ -0,0 +1,177 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+   BOOST_CHECK(is_domain_error<domain_error<ignore_error> >::value);
+   BOOST_CHECK(0 == is_domain_error<pole_error<ignore_error> >::value);
+   BOOST_CHECK(is_pole_error<pole_error<ignore_error> >::value);
+   BOOST_CHECK(0 == is_pole_error<domain_error<ignore_error> >::value);
+   BOOST_CHECK(is_digits10<digits10<ignore_error> >::value);
+   BOOST_CHECK(0 == is_digits10<digits2<ignore_error> >::value);
+
+   BOOST_CHECK((is_same<policy<>::domain_error_type, domain_error<BOOST_MATH_DOMAIN_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<>::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::pole_error_type, pole_error<user_error> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::overflow_error_type, overflow_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::underflow_error_type, underflow_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::denorm_error_type, denorm_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::evaluation_error_type, evaluation_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<digits2<20> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<promote_float<false> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<promote_double<false> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::promote_float_type,  policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::promote_double_type, promote_double<false> >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::promote_float_type,  policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::discrete_quantile_type, discrete_quantile<integer_round_up> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_2.cpp b/src/boost/libs/math/test/test_policy_2.cpp
new file mode 100644
index 00000000..b86bad45
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_2.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::overflow_error_type, overflow_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_3.cpp b/src/boost/libs/math/test/test_policy_3.cpp
new file mode 100644
index 00000000..4d9061a3
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_3.cpp
@@ -0,0 +1,48 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_4.cpp b/src/boost/libs/math/test/test_policy_4.cpp
new file mode 100644
index 00000000..270756d9
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_4.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_5.cpp b/src/boost/libs/math/test/test_policy_5.cpp
new file mode 100644
index 00000000..ed3ee17e
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_5.cpp
@@ -0,0 +1,48 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_6.cpp b/src/boost/libs/math/test/test_policy_6.cpp
new file mode 100644
index 00000000..a5531d6b
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_6.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_7.cpp b/src/boost/libs/math/test/test_policy_7.cpp
new file mode 100644
index 00000000..99792cea
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_7.cpp
@@ -0,0 +1,44 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK(check_same(make_policy(), policy<>()));
+   BOOST_CHECK(check_same(make_policy(denorm_error<ignore_error>()), normalise<policy<denorm_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(digits2<20>()), normalise<policy<digits2<20> > >::type()));
+   BOOST_CHECK(check_same(make_policy(promote_float<false>()), normalise<policy<promote_float<false> > >::type()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), normalise<policy<domain_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(pole_error<ignore_error>()), normalise<policy<pole_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(indeterminate_result_error<ignore_error>()), normalise<policy<indeterminate_result_error<ignore_error> > >::type()));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_8.cpp b/src/boost/libs/math/test/test_policy_8.cpp
new file mode 100644
index 00000000..96d5e4e3
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_8.cpp
@@ -0,0 +1,50 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), policy<domain_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits10<5>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<19> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false> >()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>(), discrete_quantile<integer_round_down>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false>, discrete_quantile<integer_round_down> >()));
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_9.cpp b/src/boost/libs/math/test/test_policy_9.cpp
new file mode 100644
index 00000000..6e1be78a
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_9.cpp
@@ -0,0 +1,95 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/math/tools/precision.hpp>
+
+template <class T>
+BOOST_CONSTEXPR int consume_constexpr(const T&)
+{  return 0;  }
+
+void test()
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+#if !defined(BOOST_NO_CXX11_CONSTEXPR) && !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_MATH_DISABLE_CONSTEXPR)
+
+   constexpr auto p1 = make_policy();
+   constexpr auto p2 = make_policy(promote_double<false>());
+   constexpr auto p3 = make_policy(domain_error<user_error>(), pole_error<user_error>(), overflow_error<user_error>(), underflow_error<user_error>(),
+      denorm_error<user_error>(), evaluation_error<user_error>(), rounding_error<user_error>(), indeterminate_result_error<user_error>());
+   constexpr auto p4 = make_policy(promote_float<false>(), promote_double<false>(), assert_undefined<true>(), discrete_quantile<real>(),
+      digits10<10>(), max_series_iterations<100>(), max_root_iterations<20>());
+   constexpr auto p5 = make_policy(digits2<20>());
+
+   constexpr int d = digits<double, policy<> >() + digits_base10<double, policy<> >();
+   constexpr unsigned long s = get_max_series_iterations<policy<> >();
+   constexpr unsigned long r = get_max_root_iterations<policy<> >();
+
+   constexpr double ep = get_epsilon<double, policy<> >();
+   constexpr double ep2 = get_epsilon<double, policy<digits10<7> > >();
+
+   constexpr auto p6 = make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<ignore_error>(),
+      denorm_error<ignore_error>(), evaluation_error<ignore_error>(), rounding_error<ignore_error>(), indeterminate_result_error<ignore_error>());
+
+   constexpr double r1 = raise_domain_error<double>("foo", "Out of range", 0.0, p6);
+   constexpr double r2 = raise_pole_error<double>("func", "msg", 0.0, p6);
+   constexpr double r3 = raise_overflow_error<double>("func", "msg", p6);
+   constexpr double r4 = raise_overflow_error("func", "msg", 0.0, p6);
+   constexpr double r5 = raise_underflow_error<double>("func", "msg", p6);
+   constexpr double r6 = raise_denorm_error("func", "msg", 0.0, p6);
+   constexpr double r7 = raise_evaluation_error("func", "msg", 0.0, p6);
+   constexpr float r8 = raise_rounding_error("func", "msg", 0.0, 0.0f, p6);
+   constexpr float r9 = raise_indeterminate_result_error("func", "msg", 0.0, 0.0f, p6);
+
+   consume_constexpr(p1);
+   consume_constexpr(p2);
+   consume_constexpr(p3);
+   consume_constexpr(p4);
+   consume_constexpr(p5);
+   consume_constexpr(p6);
+   consume_constexpr(d);
+   consume_constexpr(s);
+   consume_constexpr(r);
+   consume_constexpr(ep);
+   consume_constexpr(ep2);
+   consume_constexpr(r1);
+   consume_constexpr(r2);
+   consume_constexpr(r3);
+   consume_constexpr(r4);
+   consume_constexpr(r5);
+   consume_constexpr(r6);
+   consume_constexpr(r7);
+   consume_constexpr(r8);
+   consume_constexpr(r9);
+
+#endif
+
+#ifndef BOOST_NO_CXX11_NOEXCEPT
+
+   static_assert(noexcept(make_policy()), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(promote_double<false>())), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(domain_error<user_error>(), pole_error<user_error>(), overflow_error<user_error>(), underflow_error<user_error>(),
+      denorm_error<user_error>(), evaluation_error<user_error>(), rounding_error<user_error>(), indeterminate_result_error<user_error>())), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(promote_float<false>(), promote_double<false>(), assert_undefined<true>(), discrete_quantile<boost::math::policies::real>(),
+      digits10<10>(), max_series_iterations<100>(), max_root_iterations<20>())), "This expression should be noexcept");
+
+   static_assert(noexcept(digits<double, policy<> >() + digits_base10<double, policy<> >()), "This expression should be noexcept");
+   static_assert(noexcept(get_max_series_iterations<policy<> >()), "This expression should be noexcept");
+   static_assert(noexcept(get_max_root_iterations<policy<> >()), "This expression should be noexcept");
+
+   static_assert(noexcept(get_epsilon<double, policy<> >()), "This expression should be noexcept");
+
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_sf.cpp b/src/boost/libs/math/test/test_policy_sf.cpp
new file mode 100644
index 00000000..93701c3e
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_sf.cpp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file provides very basic sanity checks for the special functions
+// declared with BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS, basically we
+// just want to make sure that the inline forwarding functions do
+// actually forward to the right function!!
+//
+
+namespace test{
+
+   typedef boost::math::policies::policy<> policy;
+
+   BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(policy)
+
+}
+
+#define TEST_POLICY_SF(call)\
+   BOOST_CHECK_EQUAL(boost::math::call , test::call)
+
+//
+// Prevent some macro conflicts just in case:
+//
+#undef fpclassify
+#undef isnormal
+#undef isinf
+#undef isfinite
+#undef isnan
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   int i;
+   TEST_POLICY_SF(tgamma(3.0));
+   TEST_POLICY_SF(tgamma1pm1(0.25));
+   TEST_POLICY_SF(lgamma(50.0));
+   TEST_POLICY_SF(lgamma(50.0, &i));
+   TEST_POLICY_SF(digamma(12.0));
+   TEST_POLICY_SF(tgamma_ratio(12.0, 13.5));
+   TEST_POLICY_SF(tgamma_delta_ratio(100.0, 0.25));
+   TEST_POLICY_SF(factorial<double>(8));
+   TEST_POLICY_SF(unchecked_factorial<double>(3));
+   TEST_POLICY_SF(double_factorial<double>(5));
+   TEST_POLICY_SF(rising_factorial(20.5, 5));
+   TEST_POLICY_SF(falling_factorial(10.2, 7));
+   TEST_POLICY_SF(tgamma(12.0, 13.0));
+   TEST_POLICY_SF(tgamma_lower(12.0, 13.0));
+   TEST_POLICY_SF(gamma_p(12.0, 13.0));
+   TEST_POLICY_SF(gamma_q(12.0, 15.0));
+   TEST_POLICY_SF(gamma_p_inv(12.0, 0.25));
+   TEST_POLICY_SF(gamma_q_inv(15.0, 0.25));
+   TEST_POLICY_SF(gamma_p_inva(12.0, 0.25));
+   TEST_POLICY_SF(gamma_q_inva(12.0, 0.25));
+   TEST_POLICY_SF(erf(2.5));
+   TEST_POLICY_SF(erfc(2.5));
+   TEST_POLICY_SF(erf_inv(0.25));
+   TEST_POLICY_SF(erfc_inv(0.25));
+   TEST_POLICY_SF(beta(12.0, 15.0));
+   TEST_POLICY_SF(beta(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(betac(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibetac(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta_inv(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibetac_inv(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta_inva(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibetac_inva(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibeta_invb(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibetac_invb(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(gamma_p_derivative(12.0, 15.0));
+   TEST_POLICY_SF(ibeta_derivative(12.0, 15.75, 0.25));
+   TEST_POLICY_SF(fpclassify(12.0));
+   TEST_POLICY_SF(isfinite(12.0));
+   TEST_POLICY_SF(isnormal(12.0));
+   TEST_POLICY_SF(isnan(12.0));
+   TEST_POLICY_SF(isinf(12.0));
+   TEST_POLICY_SF(log1p(0.0025));
+   TEST_POLICY_SF(expm1(0.0025));
+   TEST_POLICY_SF(cbrt(30.0));
+   TEST_POLICY_SF(sqrt1pm1(0.0025));
+   TEST_POLICY_SF(powm1(1.0025, 12.0));
+   TEST_POLICY_SF(legendre_p(5, 0.75));
+   TEST_POLICY_SF(legendre_p(7, 3, 0.75));
+   TEST_POLICY_SF(legendre_q(5, 0.75));
+   TEST_POLICY_SF(legendre_next(2, 0.25, 12.0, 5.0));
+   TEST_POLICY_SF(legendre_next(2, 2, 0.25, 12.0, 5.0));
+   TEST_POLICY_SF(laguerre(5, 12.2));
+   TEST_POLICY_SF(laguerre(7, 3, 5.0));
+   TEST_POLICY_SF(laguerre_next(2, 5.0, 12.0, 5.0));
+   TEST_POLICY_SF(laguerre_next(5, 3, 5.0, 20.0, 10.0));
+   TEST_POLICY_SF(hermite(1, 2.0));
+   TEST_POLICY_SF(hermite_next(2, 2.0, 3.0, 2.0));
+   TEST_POLICY_SF(spherical_harmonic_r(5, 4, 0.75, 0.25));
+   TEST_POLICY_SF(spherical_harmonic_i(5, 4, 0.75, 0.25));
+   TEST_POLICY_SF(ellint_1(0.25));
+   TEST_POLICY_SF(ellint_1(0.25, 0.75));
+   TEST_POLICY_SF(ellint_2(0.25));
+   TEST_POLICY_SF(ellint_2(0.25, 0.75));
+   TEST_POLICY_SF(ellint_3(0.25, 0.75));
+   TEST_POLICY_SF(ellint_3(0.25, 0.125, 0.75));
+   TEST_POLICY_SF(ellint_rc(3.0, 5.0));
+   TEST_POLICY_SF(ellint_rd(2.0, 3.0, 4.0));
+   TEST_POLICY_SF(ellint_rf(2.0, 3.0, 4.0));
+   TEST_POLICY_SF(ellint_rj(2.0, 3.0, 5.0, 0.25));
+   TEST_POLICY_SF(hypot(5.0, 3.0));
+   TEST_POLICY_SF(sinc_pi(3.0));
+   TEST_POLICY_SF(sinhc_pi(2.0));
+   TEST_POLICY_SF(asinh(12.0));
+   TEST_POLICY_SF(acosh(5.0));
+   TEST_POLICY_SF(atanh(0.75));
+   TEST_POLICY_SF(sin_pi(5.0));
+   TEST_POLICY_SF(cos_pi(6.0));
+   TEST_POLICY_SF(cyl_neumann(2.0, 5.0));
+   TEST_POLICY_SF(cyl_neumann(2, 5.0));
+   TEST_POLICY_SF(cyl_bessel_j(2.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_j(2, 5.0));
+   TEST_POLICY_SF(cyl_bessel_i(3.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_i(3, 5.0));
+   TEST_POLICY_SF(cyl_bessel_k(3.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_k(3, 5.0));
+   TEST_POLICY_SF(sph_bessel(3, 5.0));
+   TEST_POLICY_SF(sph_bessel(3, 5));
+   TEST_POLICY_SF(sph_neumann(3, 5.0));
+   TEST_POLICY_SF(sph_neumann(3, 5));
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_polygamma.cpp b/src/boost/libs/math/test/test_polygamma.cpp
new file mode 100644
index 00000000..e7d7edbd
--- /dev/null
+++ b/src/boost/libs/math/test/test_polygamma.cpp
@@ -0,0 +1,96 @@
+//  (C) Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_polygamma.hpp"
+//#include <boost/cstdfloat.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large arguments",           // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 800, 500);               // test function
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<long double>::digits > std::numeric_limits<double>::digits)
+      && (std::numeric_limits<long double>::digits - std::numeric_limits<double>::digits < 20))
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*bug cases.*",               // test data group
+         ".*", 100, 30);                // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 50000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_polygamma(0.0F, "float");
+   test_polygamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_polygamma(0.0L, "long double");
+   test_polygamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#ifdef BOOST_FLOAT128_C
+   //test_polygamma(BOOST_FLOAT128_C(0.0), "float128_t");
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_polygamma.hpp b/src/boost/libs/math/test/test_polygamma.hpp
new file mode 100644
index 00000000..53b31656
--- /dev/null
+++ b/src/boost/libs/math/test/test_polygamma.hpp
@@ -0,0 +1,221 @@
+// Copyright John Maddock 20
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4756) // overflow in constant arithmetic
+#endif
+
+template <class Real, class T>
+void do_test_polygamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(POLYGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(int, value_type);
+#ifdef POLYGAMMA_FUNCTION_TO_TEST
+   pg funcp = POLYGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::polygamma<value_type>;
+#else
+   pg funcp = boost::math::polygamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test polygamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "polygamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_polygamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 484> data =
+      { { 
+      {{ 1, SC_(0.1250000), SC_(65.388133444988034473142999334395961) }}, {{ 1, SC_(2.250000), SC_(0.55732915450711073927131911933522402) }}, {{ 1, SC_(4.375000), SC_(0.25666408805722660683906428275458774) }}, {{ 1, SC_(6.500000), SC_(0.16628453574995823763989666631218566) }}, {{ 1, SC_(8.625000), SC_(0.12292237374423990274075995315923687) }}, {{ 1, SC_(10.75000), SC_(0.097483848201852104395946001854344927) }}, {{ 1, SC_(12.87500), SC_(0.080764208092843621858393487209278638) }}, {{ 1, SC_(15.00000), SC_(0.068938227847683806226155216756371670) }}, {{ 1, SC_(17.12500), SC_(0.060132263162293455894576107399989891) }}, {{ 1, SC_(19.25000), SC_(0.053320703915617277211139745531295189) }}, {{ 1, SC_(21.37500), SC_(0.047895038036916716105500109226810942) }}, {{ 1, SC_(23.50000), SC_(0.043471416266946770249685779030294199) }}, {{ 1, SC_(25.62500), SC_(0.039795743807625238080963836217545550) }}, {{ 1, SC_(27.75000), SC_(0.036693131333593477569076090983653779) }}, {{ 1, SC_(29.87500), SC_(0.034039266877179098641898178094001935) }}, {{ 1, SC_(32.00000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(34.12500), SC_(0.029737585673522726661363528635488348) }}, {{ 1, SC_(36.25000), SC_(0.027970204614894933106878169214392067) }}, {{ 1, SC_(38.37500), SC_(0.026401106865951764123858232364900665) }}, {{ 1, SC_(40.50000), SC_(0.024998698201356741322280011143883922) }}, {{ 1, SC_(42.62500), SC_(0.023737757818075642720991864115881164) }}, {{ 1, SC_(44.75000), SC_(0.022597908441287364284087900916682571) }}, {{ 1, SC_(46.87500), SC_(0.021562506914486557632388530071308920) }}, {{ 1, SC_(49.00000), SC_(0.020617826354560516060031453062401102) }}, {{ 1, SC_(51.12500), SC_(0.019752444228552790805040230288386135) }}, {{ 1, SC_(53.25000), SC_(0.018956778300513446216011889734099110) }}, {{ 1, SC_(55.37500), SC_(0.018222730375562878627773770314126276) }}, {{ 1, SC_(57.50000), SC_(0.017543409716574620734228673575882677) }}, {{ 1, SC_(59.62500), SC_(0.016912916093398919581541485278641593) }}, {{ 1, SC_(61.75000), SC_(0.016326167985389235938281994221076159) }}, {{ 1, SC_(63.87500), SC_(0.015778765341125640054231784371915358) }}, {{ 1, SC_(66.00000), SC_(0.015266879048806385777045778219279459) }}, {{ 1, SC_(68.12500), SC_(0.014787161242916062152535888615850260) }}, {{ 1, SC_(70.25000), SC_(0.014336672004276912093324664070489886) }}, {{ 1, SC_(72.37500), SC_(0.013912819061256593888508241399678441) }}, {{ 1, SC_(74.50000), SC_(0.013513307879079644573772830117155790) }}, {{ 1, SC_(76.62500), SC_(0.013136100107643257539226305043251166) }}, {{ 1, SC_(78.75000), SC_(0.012779378799112389298746113446648982) }}, {{ 1, SC_(80.87500), SC_(0.012441519142554280549428650598112729) }}, {{ 1, SC_(83.00000), SC_(0.012121063720980953787190412456820037) }}, {{ 1, SC_(85.12500), SC_(0.011816701495952671887865236708275449) }}, {{ 1, SC_(87.25000), SC_(0.011527249880640584213306489206202069) }}, {{ 1, SC_(89.37500), SC_(0.011251639384481213426240562514542477) }}, {{ 1, SC_(91.50000), SC_(0.010988900409103388104670465071922664) }}, {{ 1, SC_(93.62500), SC_(0.010738151851930343087942933225290955) }}, {{ 1, SC_(95.75000), SC_(0.010498591235178571927709342934117247) }}, {{ 1, SC_(97.87500), SC_(0.010269486127251686167359605922136260) }}, {{ 1, SC_(100.0000), SC_(0.010050166663333571395245668465701423) }},
+      {{ 2, SC_(0.1250000), -SC_(1025.7533381181356825956689300565174) }}, {{ 2, SC_(2.250000), -SC_(0.30373993753692033333796717884398989) }}, {{ 2, SC_(4.375000), -SC_(0.065528725397877855792664680804766330) }}, {{ 2, SC_(6.500000), -SC_(0.027587910706876798794117450572831562) }}, {{ 2, SC_(8.625000), -SC_(0.015091062676061564388822078971884395) }}, {{ 2, SC_(10.75000), -SC_(0.0094956196449265900776488965631791775) }}, {{ 2, SC_(12.87500), -SC_(0.0065193261909178260169885198194705291) }}, {{ 2, SC_(15.00000), -SC_(0.0047506027165515547467791223768191188) }}, {{ 2, SC_(17.12500), -SC_(0.0036148020016626802195565448384834283) }}, {{ 2, SC_(19.25000), -SC_(0.0028424250740909855631736845850335535) }}, {{ 2, SC_(21.37500), -SC_(0.0022934967923297751145806065882712900) }}, {{ 2, SC_(23.50000), -SC_(0.0018894667868625909895476094900477678) }}, {{ 2, SC_(25.62500), -SC_(0.0015834924252652953218803111387922996) }}, {{ 2, SC_(27.75000), -SC_(0.0013462349527320363170378913859580860) }}, {{ 2, SC_(29.87500), -SC_(0.0011585598948326545653381467670779893) }}, {{ 2, SC_(32.00000), -SC_(0.0010075567602140907392185110593117265) }}, {{ 2, SC_(34.12500), -SC_(0.00088425886906787461365402045268994574) }}, {{ 2, SC_(36.25000), -SC_(0.00078228136778540401396894643668418462) }}, {{ 2, SC_(38.37500), -SC_(0.00069697797537723210697105880606724159) }}, {{ 2, SC_(40.50000), -SC_(0.00062490237932923289658683588812998732) }}, {{ 2, SC_(42.62500), -SC_(0.00056345469641484389456121935536309197) }}, {{ 2, SC_(44.75000), -SC_(0.00051064374134295093656385520125286421) }}, {{ 2, SC_(46.87500), -SC_(0.00046492369550612086723038302919171885) }}, {{ 2, SC_(49.00000), -SC_(0.00042507970884222510504308867471824948) }}, {{ 2, SC_(51.12500), -SC_(0.00039014637079445100439645401142194535) }}, {{ 2, SC_(53.25000), -SC_(0.00035934868438211062777790080207505881) }}, {{ 2, SC_(55.37500), -SC_(0.00033205871518117505559928737076624192) }}, {{ 2, SC_(57.50000), -SC_(0.00030776333242771756953580263456220628) }}, {{ 2, SC_(59.62500), -SC_(0.00028603991345613245802207114123372414) }}, {{ 2, SC_(61.75000), -SC_(0.00026653784162151616772904552992231739) }}, {{ 2, SC_(63.87500), -SC_(0.00024896427102287300629668349085350311) }}, {{ 2, SC_(66.00000), -SC_(0.00023307306946180321476975587412226332) }}, {{ 2, SC_(68.12500), -SC_(0.00021865615382096049855997233359992101) }}, {{ 2, SC_(70.25000), -SC_(0.00020553664405312492990454318541834320) }}, {{ 2, SC_(72.37500), -SC_(0.00019356341228034103704385457246984425) }}, {{ 2, SC_(74.50000), -SC_(0.00018260671130395075946075978013398780) }}, {{ 2, SC_(76.62500), -SC_(0.00017255464497899193114313963889049197) }}, {{ 2, SC_(78.75000), -SC_(0.00016331030013937037094502788633900241) }}, {{ 2, SC_(80.87500), -SC_(0.00015478940207215993505449988937898640) }}, {{ 2, SC_(83.00000), -SC_(0.00014691838710034332570083901051760808) }}, {{ 2, SC_(85.12500), -SC_(0.00013963280957351165370765015817038278) }}, {{ 2, SC_(87.25000), -SC_(0.00013287601856558888563037791437997733) }}, {{ 2, SC_(89.37500), -SC_(0.00012659805332837531702241737466058293) }}, {{ 2, SC_(91.50000), -SC_(0.00012075471712784846612240303590084686) }}, {{ 2, SC_(93.62500), -SC_(0.00011530679728326736002584104318350829) }}, {{ 2, SC_(95.75000), -SC_(0.00011021940561565095981861374083495299) }}, {{ 2, SC_(97.87500), -SC_(0.00010546141852085692313553484671110170) }}, {{ 2, SC_(100.0000), -SC_(0.00010100499983334999700083300446059382) }},
+      {{ 3, SC_(0.1250000), SC_(24580.143419063566218511004446647010) }},
+      {{ 3, SC_(2.250000), SC_(0.32454400918839602279124382903505677) }},
+      {{ 3, SC_(4.375000), SC_(0.033289201205556512286673394063908247) }},
+      {{ 3, SC_(6.500000), SC_(0.0091336635043781405048050655353658508) }},
+      {{ 3, SC_(8.625000), SC_(0.0037008460120616755687668778806054328) }},
+      {{ 3, SC_(10.75000), SC_(0.0018484328773891268475922730275004208) }},
+      {{ 3, SC_(12.87500), SC_(0.0010519186241203463873018930415985105) }},
+      {{ 3, SC_(15.00000), SC_(0.00065447977828273734841733708901750530) }},
+      {{ 3, SC_(17.12500), SC_(0.00043447135395979214393136263736764201) }},
+      {{ 3, SC_(19.25000), SC_(0.00030297696415718385912539504824566570) }},
+      {{ 3, SC_(21.37500), SC_(0.00021961042047214603636739002880115737) }},
+      {{ 3, SC_(23.50000), SC_(0.00016422394665239820056068884910278128) }},
+      {{ 3, SC_(25.62500), SC_(0.00012599930135391694524067581601102767) }},
+      {{ 3, SC_(27.75000), SC_(0.000098773010741268191080883613389009048) }},
+      {{ 3, SC_(29.87500), SC_(0.000078857844307768334137453508928722671) }},
+      {{ 3, SC_(32.00000), SC_(0.000063955754777976299576673673574642423) }},
+      {{ 3, SC_(34.12500), SC_(0.000052583702941352521813139097855885393) }},
+      {{ 3, SC_(36.25000), SC_(0.000043755438122384003302367816109980192) }},
+      {{ 3, SC_(38.37500), SC_(0.000036797707573246758497786056137200200) }},
+      {{ 3, SC_(40.50000), SC_(0.000031240239710655936422248716017582946) }},
+      {{ 3, SC_(42.62500), SC_(0.000026747791378195202271687207455056302) }},
+      {{ 3, SC_(44.75000), SC_(0.000023076997706632396178157160717335565) }},
+      {{ 3, SC_(46.87500), SC_(0.000020048287815935784161580614536631137) }},
+      {{ 3, SC_(49.00000), SC_(0.000017527197874026635143654793647828466) }},
+      {{ 3, SC_(51.12500), SC_(0.000015411686998050652806770684541876757) }},
+      {{ 3, SC_(53.25000), SC_(0.000013623370966529973793708331754693666) }},
+      {{ 3, SC_(55.37500), SC_(0.000012101363299593660023105041673385376) }},
+      {{ 3, SC_(57.50000), SC_(0.000010797882726896889062768134787291884) }},
+      {{ 3, SC_(59.62500), SC_(9.6750769605707758334815857396558355e-6) }},
+      {{ 3, SC_(61.75000), SC_(8.7026966259856900409582330070865268e-6) }},
+      {{ 3, SC_(63.87500), SC_(7.8563716857343030149244371160376495e-6) }},
+      {{ 3, SC_(66.00000), SC_(7.1163203299934132027680033779014197e-6) }},
+      {{ 3, SC_(68.12500), SC_(6.4663719906627627544882175944382226e-6) }},
+      {{ 3, SC_(70.25000), SC_(5.8932210515208497328937862935232496e-6) }},
+      {{ 3, SC_(72.37500), SC_(5.3858517367657111634358444590928906e-6) }},
+      {{ 3, SC_(74.50000), SC_(4.9350912436686398240670814427342376e-6) }},
+      {{ 3, SC_(76.62500), SC_(4.5332598242018110991734569100539592e-6) }},
+      {{ 3, SC_(78.75000), SC_(4.1738947808706992483423293125251133e-6) }},
+      {{ 3, SC_(80.87500), SC_(3.8515312659502461861484363442184908e-6) }},
+      {{ 3, SC_(83.00000), SC_(3.5615270636518630626786644585266764e-6) }},
+      {{ 3, SC_(85.12500), SC_(3.2999216708248315372665461067377996e-6) }},
+      {{ 3, SC_(87.25000), SC_(3.0633223042636924720337703682152499e-6) }},
+      {{ 3, SC_(89.37500), SC_(2.8488111819903247190925375784544775e-6) }},
+      {{ 3, SC_(91.50000), SC_(2.6538697141941088454844912572034392e-6) }},
+      {{ 3, SC_(93.62500), SC_(2.4763162120667457234467192228222670e-6) }},
+      {{ 3, SC_(95.75000), SC_(2.3142544621402797124759791203351867e-6) }},
+      {{ 3, SC_(97.87500), SC_(2.1660310796121506708372890790676070e-6) }},
+      {{ 3, SC_(100.0000), SC_(2.0301999900013330334332872946449855e-6) }},
+
+      {{4, SC_(0.1250000), SC_(-786445.98543106378579320120709638297)}}, {{ 4, SC_(2.250000), SC_(-0.51106863793373355822715252195899576) }}, {{ 4, SC_(4.375000), SC_(-0.025241882074562753654505456518792508) }}, {{ 4, SC_(6.500000), SC_(-0.0045259302803220607103496010172883494) }}, {{ 4, SC_(8.625000), SC_(-0.0013596929106556359886012273921730071) }}, {{ 4, SC_(10.75000), SC_(-0.00053930828860547053427689740051604949) }}, {{ 4, SC_(12.87500), SC_(-0.00025445997266103206171225355293726865) }}, {{ 4, SC_(15.00000), SC_(-0.00013519619187519276575068431301221388) }}, {{ 4, SC_(17.12500), SC_(-0.000078306716822025065793290599586946118) }}, {{ 4, SC_(19.25000), SC_(-0.000048430513924395561509999792045098081) }}, {{ 4, SC_(21.37500), SC_(-0.000031536705873201397805285969259914559) }}, {{ 4, SC_(23.50000), SC_(-0.000021407049050977062373311093992814121) }}, {{ 4, SC_(25.62500), SC_(-0.000015036764178343754461565939319516893) }}, {{ 4, SC_(27.75000), SC_(-0.000010869219781124567432001391245344089) }}, {{ 4, SC_(29.87500), SC_(-8.0504604926168752698902834477348881e-6) }}, {{ 4, SC_(32.00000), SC_(-6.0889806370027137702207132674152980e-6) }}, {{ 4, SC_(34.12500), SC_(-4.6901011823268163094417546531023856e-6) }}, {{ 4, SC_(36.25000), SC_(-3.6708283086618325558290000911536581e-6) }}, {{ 4, SC_(38.37500), SC_(-2.9139932244650290336213711603586301e-6) }}, {{ 4, SC_(40.50000), SC_(-2.3425302303691304543510535971847968e-6) }}, {{ 4, SC_(42.62500), SC_(-1.9045296486050512642801504306671373e-6) }}, {{ 4, SC_(44.75000), SC_(-1.5642760453399369047824852836708697e-6) }}, {{ 4, SC_(46.87500), SC_(-1.2967233822729326645555539185332769e-6) }}, {{ 4, SC_(49.00000), SC_(-1.0840030171141394983603065427611252e-6) }}, {{ 4, SC_(51.12500), SC_(-9.1316643010960703020517255319750485e-7) }}, {{ 4, SC_(53.25000), SC_(-7.7469609700462921021995856208285815e-7) }}, {{ 4, SC_(55.37500), SC_(-6.6150474476547305805911346012045165e-7) }}, {{ 4, SC_(57.50000), SC_(-5.6825133351570053043820949353677183e-7) }}, {{ 4, SC_(59.62500), SC_(-4.9086620236193161135912086142572580e-7) }}, {{ 4, SC_(61.75000), SC_(-4.2621666772058776224801114961267801e-7) }}, {{ 4, SC_(63.87500), SC_(-3.7186839586672891333608898041067112e-7) }}, {{ 4, SC_(66.00000), SC_(-3.2591301914111222705427951896642626e-7) }}, {{ 4, SC_(68.12500), SC_(-2.8684217920848561693233665614958777e-7) }}, {{ 4, SC_(70.25000), SC_(-2.5345451083204479337777798526354757e-7) }}, {{ 4, SC_(72.37500), SC_(-2.2478626654835416271537021644553013e-7) }}, {{ 4, SC_(74.50000), SC_(-2.0005909073946645851596541397664333e-7) }}, {{ 4, SC_(76.62500), SC_(-1.7864035957298817513241281766878220e-7) }}, {{ 4, SC_(78.75000), SC_(-1.6001281551287093216803849072235519e-7) }}, {{ 4, SC_(80.87500), SC_(-1.4375113796429048125939526070340983e-7) }}, {{ 4, SC_(83.00000), SC_(-1.2950373350296884735201964028079076e-7) }}, {{ 4, SC_(85.12500), SC_(-1.1697848507486443027254417751822546e-7) }}, {{ 4, SC_(87.25000), SC_(-1.0593152651055065213702117539700727e-7) }}, {{ 4, SC_(89.37500), SC_(-9.6158345290200883062520858433963680e-8) }}, {{ 4, SC_(91.50000), SC_(-8.7486689164653963817234101603388082e-8) }}, {{ 4, SC_(93.62500), SC_(-7.9770879280803145900384972987304463e-8) }}, {{ 4, SC_(95.75000), SC_(-7.2887226653828502529665531368895369e-8) }}, {{ 4, SC_(97.87500), SC_(-6.6730319180606630829991063550458595e-8) }}, {{ 4, SC_(100.0000), SC_(-6.1209999300119967012993094755881001e-8) }},
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+      {{ SC_(30.0), SC_(0.1250000), SC_(-2.6269370855717061268373196091559060e60) }}, {{ SC_(30.0), SC_(2.250000), SC_(-3.2063201132225624894497621128724710e21) }}, {{ SC_(30.0), SC_(4.375000), SC_(-3.5816122065666942298125086110013811e12) }}, {{ SC_(30.0), SC_(6.500000), SC_(-1.6926495147567915305098150929608351e7) }}, {{ SC_(30.0), SC_(8.625000), SC_(-2691.9893080722988179729741180559768) }}, {{ SC_(30.0), SC_(10.75000), SC_(-3.0129827880548721952335149662772758) }}, {{ SC_(30.0), SC_(12.87500), SC_(-0.011679541591944513522798667560485778) }}, {{ SC_(30.0), SC_(15.00000), SC_(-0.00010699799160744992062995477402482814) }}, {{ SC_(30.0), SC_(17.12500), SC_(-1.8412916811312822615145612742242341e-6) }}, {{ SC_(30.0), SC_(19.25000), SC_(-5.1296809753659048984675389168991678e-8) }}, {{ SC_(30.0), SC_(21.37500), SC_(-2.0897092756900426602247473552496515e-9) }}, {{ SC_(30.0), SC_(23.50000), SC_(-1.1575741931670926101304469613657363e-10) }}, {{ SC_(30.0), SC_(25.62500), SC_(-8.2634766034599236789755939810493909e-12) }}, {{ SC_(30.0), SC_(27.75000), SC_(-7.2982420192371959627923444899651880e-13) }}, {{ SC_(30.0), SC_(29.87500), SC_(-7.7259330615365968247618603604357394e-14) }}, {{ SC_(30.0), SC_(32.00000), SC_(-9.5598830564651701596127591449043084e-15) }}, {{ SC_(30.0), SC_(34.12500), SC_(-1.3549801683291963236022185422404195e-15) }}, {{ SC_(30.0), SC_(36.25000), SC_(-2.1637420158752325246771018243486794e-16) }}, {{ SC_(30.0), SC_(38.37500), SC_(-3.8399012944498044530335003629202925e-17) }}, {{ SC_(30.0), SC_(40.50000), SC_(-7.4867790463777103523228388855693400e-18) }}, {{ SC_(30.0), SC_(42.62500), SC_(-1.5882468053156791511681017429675896e-18) }}, {{ SC_(30.0), SC_(44.75000), SC_(-3.6357619494056634364065401737558109e-19) }}, {{ SC_(30.0), SC_(46.87500), SC_(-8.9173782150303341835362824820507660e-20) }}, {{ SC_(30.0), SC_(49.00000), SC_(-2.3289849068324860513642836089935388e-20) }}, {{ SC_(30.0), SC_(51.12500), SC_(-6.4424396179339080523684393804219419e-21) }}, {{ SC_(30.0), SC_(53.25000), SC_(-1.8786312072016996388558435362347671e-21) }}, {{ SC_(30.0), SC_(55.37500), SC_(-5.7508919690939180263189604207862429e-22) }}, {{ SC_(30.0), SC_(57.50000), SC_(-1.8413295011736722141223685570224223e-22) }}, {{ SC_(30.0), SC_(59.62500), SC_(-6.1461867250080302453576793713083061e-23) }}, {{ SC_(30.0), SC_(61.75000), SC_(-2.1324740914631425269500808021967305e-23) }}, {{ SC_(30.0), SC_(63.87500), SC_(-7.6704605421877601246419439338550908e-24) }}, {{ SC_(30.0), SC_(66.00000), SC_(-2.8535639781622817027659809125071790e-24) }}, {{ SC_(30.0), SC_(68.12500), SC_(-1.0955940788660649214956488504913491e-24) }}, {{ SC_(30.0), SC_(70.25000), SC_(-4.3327278415671627426087404900842932e-25) }}, {{ SC_(30.0), SC_(72.37500), SC_(-1.7617839186667213519985857533371320e-25) }}, {{ SC_(30.0), SC_(74.50000), SC_(-7.3539453800410337613851853725254145e-26) }}, {{ SC_(30.0), SC_(76.62500), SC_(-3.1464535209737263958150922875079198e-26) }}, {{ SC_(30.0), SC_(78.75000), SC_(-1.3780503803711969857070836997294630e-26) }}, {{ SC_(30.0), SC_(80.87500), SC_(-6.1703357256500029511495096803651889e-27) }}, {{ SC_(30.0), SC_(83.00000), SC_(-2.8213173028841107933813502855693772e-27) }}, {{ SC_(30.0), SC_(85.12500), SC_(-1.3159280846978733546278731706334709e-27) }}, {{ SC_(30.0), SC_(87.25000), SC_(-6.2549157954995389707945629132366569e-28) }}, {{ SC_(30.0), SC_(89.37500), SC_(-3.0270730786291364371674711274018267e-28) }}, {{ SC_(30.0), SC_(91.50000), SC_(-1.4902791126813033033236323354658204e-28) }}, {{ SC_(30.0), SC_(93.62500), SC_(-7.4578261147126651898615763642561310e-29) }}, {{ SC_(30.0), SC_(95.75000), SC_(-3.7908508349033587121694154134344755e-29) }}, {{ SC_(30.0), SC_(97.87500), SC_(-1.9558790071355202604313002586790408e-29) }}, {{ SC_(30.0), SC_(100.0000), SC_(-1.0236429687189538253202730650097974e-29) }},
+      {{ SC_(1.0), SC_(1.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(2.0), SC_(1.0), SC_(-2.4041138063191885707994763230229000) }}, {{ SC_(3.0), SC_(1.0), SC_(6.4939394022668291490960221792470074) }}, {{ SC_(4.0), SC_(1.0), SC_(-24.886266123440878231952771674968820) }}, {{ SC_(5.0), SC_(1.0), SC_(122.08116743813389676574215157491046) }}, {{ SC_(6.0), SC_(1.0), SC_(-726.01147971498443532465423589185367) }}, {{ SC_(7.0), SC_(1.0), SC_(5060.5498752376394704685736020836084) }}, {{ SC_(8.0), SC_(1.0), SC_(-40400.978398747634885327823655450854) }}, {{ SC_(9.0), SC_(1.0), SC_(363240.91142238262680714352556574776) }}, {{ SC_(10.0), SC_(1.0), SC_(-3.6305933116066287129906188428320541e6) }}, {{ SC_(11.0), SC_(1.0), SC_(3.9926622987731086702327073240472015e7) }}, {{ SC_(12.0), SC_(1.0), SC_(-4.7906037988983145242687676449906363e8) }}, {{ SC_(13.0), SC_(1.0), SC_(6.2274021934109717641928534089474159e9) }}, {{ SC_(14.0), SC_(1.0), SC_(-8.7180957830172067845191220310364358e10) }}, {{ SC_(15.0), SC_(1.0), SC_(1.3076943522189138208900999074851102e12) }}, {{ SC_(16.0), SC_(1.0), SC_(-2.0922949679481510906631655688111514e13) }}, {{ SC_(17.0), SC_(1.0), SC_(3.5568878585922371597561239671618245e14) }}, {{ SC_(18.0), SC_(1.0), SC_(-6.4023859228189214007356494533239755e15) }}, {{ SC_(19.0), SC_(1.0), SC_(1.2164521645363939666987669627404138e17) }}, {{ SC_(20.0), SC_(1.0), SC_(-2.4329031685078613217372568182431975e18) }}, {{ SC_(21.0), SC_(1.0), SC_(5.1090954354370285677650274860473481e19) }}, {{ SC_(22.0), SC_(1.0), SC_(-1.1240008617808912306021529490019443e21) }}, {{ SC_(23.0), SC_(1.0), SC_(2.5852018279876877767780261785042411e22) }}, {{ SC_(24.0), SC_(1.0), SC_(-6.2044842022477556107699152049463576e23) }}, {{ SC_(25.0), SC_(1.0), SC_(1.5511210274472132898983174657140502e25) }}, {{ SC_(26.0), SC_(1.0), SC_(-4.0329146413141407973995741108882374e26) }}, {{ SC_(27.0), SC_(1.0), SC_(1.0888869490983028015891074275710607e28) }}, {{ SC_(28.0), SC_(1.0), SC_(-3.0488834517961710017831014422416477e29) }}, {{ SC_(29.0), SC_(1.0), SC_(8.8417620019742774502390188870678590e30) }}, {{ SC_(30.0), SC_(1.0), SC_(-2.6525285993570947629478654469554513e32) }}, {{ SC_(31.0), SC_(1.0), SC_(8.2228386560924560722190676893264356e33) }}, {{ SC_(32.0), SC_(1.0), SC_(-2.6313083696432603856870073439642460e35) }}, {{ SC_(33.0), SC_(1.0), SC_(8.6833176193173226237779341368101141e36) }}, {{ SC_(34.0), SC_(1.0), SC_(-2.9523279904819655207731742551529264e38) }}, {{ SC_(35.0), SC_(1.0), SC_(1.0333147966536512091762081841406431e40) }}, {{ SC_(36.0), SC_(1.0), SC_(-3.7199332679260782597263218144656884e41) }}, {{ SC_(37.0), SC_(1.0), SC_(1.3763753091276417298557030711497089e43) }}, {{ SC_(38.0), SC_(1.0), SC_(-5.2302261746755248448805548317868492e44) }}, {{ SC_(39.0), SC_(1.0), SC_(2.0397882081215995125998316157358476e46) }}, {{ SC_(40.0), SC_(1.0), SC_(-8.1591528324826876968158659241126765e47) }}, {{ SC_(41.0), SC_(1.0), SC_(3.3452526613171413332404690085486207e49) }}, {{ SC_(42.0), SC_(1.0), SC_(-1.4050061177530396292499296757724836e51) }}, {{ SC_(43.0), SC_(1.0), SC_(6.0415263063377269847520379087368697e52) }}, {{ SC_(44.0), SC_(1.0), SC_(-2.6582715747885243206668113464973395e54) }}, {{ SC_(45.0), SC_(1.0), SC_(1.1962222086548189449597808756809115e56) }}, {{ SC_(46.0), SC_(1.0), SC_(-5.5026221598121280483325452519279417e57) }}, {{ SC_(47.0), SC_(1.0), SC_(2.5862324151116909945729536986576770e59) }}, {{ SC_(48.0), SC_(1.0), SC_(-1.2413915592536094722406207462376651e61) }}, {{ SC_(49.0), SC_(1.0), SC_(6.0828186403426810113507774083359074e62) }}, {{ SC_(50.0), SC_(1.0), SC_(-3.0414093201713391550183240542952737e64) }},
+      {{ SC_(1.0), SC_(0.5), SC_(4.9348022005446793094172454999380756) }}, {{ SC_(2.0), SC_(0.5), SC_(-16.828796644234319995596334261160300) }}, {{ SC_(3.0), SC_(0.5), SC_(97.409091034002437236440332688705111) }}, {{ SC_(4.0), SC_(0.5), SC_(-771.47424982666722519053592192403342) }}, {{ SC_(5.0), SC_(0.5), SC_(7691.1135486024354962417555492193592) }}, {{ SC_(6.0), SC_(0.5), SC_(-92203.457923803023286231087958265416) }}, {{ SC_(7.0), SC_(0.5), SC_(1.2904402181855980649694862685313201e6) }}, {{ SC_(8.0), SC_(0.5), SC_(-2.0644899961760041426402517887935387e7) }}, {{ SC_(9.0), SC_(0.5), SC_(3.7159545238509742722370782665375996e8) }}, {{ SC_(10.0), SC_(0.5), SC_(-7.4318245088587689754917967712772148e9) }}, {{ SC_(11.0), SC_(0.5), SC_(1.6349952113475880004602936491973290e11) }}, {{ SC_(12.0), SC_(0.5), SC_(-3.9239835716776094268285475780118302e12) }}, {{ SC_(13.0), SC_(0.5), SC_(1.0202353013465195041277151739878551e14) }}, {{ SC_(14.0), SC_(0.5), SC_(-2.8566584452212481470833807159097089e15) }}, {{ SC_(15.0), SC_(0.5), SC_(8.5699749372666517252032697437036695e16) }}, {{ SC_(16.0), SC_(0.5), SC_(-2.7423919374393211160431177426964643e18) }}, {{ SC_(17.0), SC_(0.5), SC_(9.3241325391494482576994960512370215e19) }}, {{ SC_(18.0), SC_(0.5), SC_(-3.3566877083169638444274914449348672e21) }}, {{ SC_(19.0), SC_(0.5), SC_(1.2755413284287493036311595679555294e23) }}, {{ SC_(20.0), SC_(0.5), SC_(-5.1021653127394298787426098736355399e24) }}, {{ SC_(21.0), SC_(0.5), SC_(2.1429094312139835232862558079810850e26) }}, {{ SC_(22.0), SC_(0.5), SC_(-9.4288014971412166432678344430683531e27) }}, {{ SC_(23.0), SC_(0.5), SC_(4.3372486886542455183876952472394031e29) }}, {{ SC_(24.0), SC_(0.5), SC_(-2.0818793705491236054644197662022342e31) }}, {{ SC_(25.0), SC_(0.5), SC_(1.0409396852737427640356547073711139e33) }}, {{ SC_(26.0), SC_(0.5), SC_(-5.4128863634220427078493834793146517e34) }}, {{ SC_(27.0), SC_(0.5), SC_(2.9229586362476475227234677536391722e36) }}, {{ SC_(28.0), SC_(0.5), SC_(-1.6368568362986349120390762957016873e38) }}, {{ SC_(29.0), SC_(0.5), SC_(9.4937696505319902685274359255316741e39) }}, {{ SC_(30.0), SC_(0.5), SC_(-5.6962617903191757168598825608931775e41) }}, {{ SC_(31.0), SC_(0.5), SC_(3.5316823099978851326405053801048261e43) }}, {{ SC_(32.0), SC_(0.5), SC_(-2.2602766783986456717032825683189511e45) }}, {{ SC_(33.0), SC_(0.5), SC_(1.4917826077431059644231123371238779e47) }}, {{ SC_(34.0), SC_(0.5), SC_(-1.0144121732653120152568117095915465e49) }}, {{ SC_(35.0), SC_(0.5), SC_(7.1008852128571840121789056825569522e50) }}, {{ SC_(36.0), SC_(0.5), SC_(-5.1126373532571724660603059705232204e52) }}, {{ SC_(37.0), SC_(0.5), SC_(3.7833516414103076192831949360932899e54) }}, {{ SC_(38.0), SC_(0.5), SC_(-2.8753472474718337892361988468491097e56) }}, {{ SC_(39.0), SC_(0.5), SC_(2.2427708530280303552352874820086301e58) }}, {{ SC_(40.0), SC_(0.5), SC_(-1.7942166824224242840898439541031383e60) }}, {{ SC_(41.0), SC_(0.5), SC_(1.4712576795863879129267798604374659e62) }}, {{ SC_(42.0), SC_(0.5), SC_(-1.2358564508525658468509652718307801e64) }}, {{ SC_(43.0), SC_(0.5), SC_(1.0628365477332066282896715879731180e66) }}, {{ SC_(44.0), SC_(0.5), SC_(-9.3529616200522183289427782398136808e67) }}, {{ SC_(45.0), SC_(0.5), SC_(8.4176654580469964960466008955275434e69) }}, {{ SC_(46.0), SC_(0.5), SC_(-7.7442522214032367763622903043252397e71) }}, {{ SC_(47.0), SC_(0.5), SC_(7.2795970881190425697803703632702328e73) }}, {{ SC_(48.0), SC_(0.5), SC_(-6.9884132045942808669890971414448669e75) }}, {{ SC_(49.0), SC_(0.5), SC_(6.8486449405023952496492961188997479e77) }}, {{ SC_(50.0), SC_(0.5), SC_(-6.8486449405023952496492897589943408e79) }},
+   }};
+
+   do_test_polygamma<T>(data, name, "Mathematica Data");
+
+   boost::array<boost::array<value_type, 3>, 284> big_data =
+   { {
+      {{ 1, SC_(2.0000000000000000000000000000000000), SC_(0.64493406684822643647241516664602519) }}, {{ 1, SC_(4.0000000000000000000000000000000000), SC_(0.28382295573711532536130405553491408) }}, {{ 1, SC_(8.0000000000000000000000000000000000), SC_(0.13313701469403142513454668592040161) }}, {{ 1, SC_(16.000000000000000000000000000000000), SC_(0.064493783403239361781710772311927225) }}, {{ 1, SC_(32.000000000000000000000000000000000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(64.000000000000000000000000000000000), SC_(0.015747706064338930155744003071350465) }}, {{ 1, SC_(128.00000000000000000000000000000000), SC_(0.0078430970500146151295391657680446584) }}, {{ 1, SC_(256.00000000000000000000000000000000), SC_(0.0039138893286083964054615299292933721) }}, {{ 1, SC_(512.00000000000000000000000000000000), SC_(0.0019550335903952979329050939908745913) }}, {{ 1, SC_(1024.0000000000000000000000000000000), SC_(0.00097703949237860262165259669085763056) }},
+      {{ 1, SC_(2048.0000000000000000000000000000000), SC_(0.00048840047869210349388677277938304048) }}, {{ 1, SC_(4096.0000000000000000000000000000000), SC_(0.00024417042974770687112825193241674713) }}, {{ 1, SC_(8192.0000000000000000000000000000000), SC_(0.00012207776338376182351559927851701587) }}, {{ 1, SC_(16384.000000000000000000000000000000), SC_(0.000061037018933044843502668828413112893) }}, {{ 1, SC_(32768.000000000000000000000000000000), SC_(0.000030518043791024259310109487753004549) }},
+      {{ 2, SC_(2.0000000000000000000000000000000000), SC_(-0.40411380631918857079947632302289998) }}, {{ 2, SC_(4.0000000000000000000000000000000000), SC_(-0.080039732245114496725402248948825907) }}, {{ 2, SC_(8.0000000000000000000000000000000000), SC_(-0.017699569195767773909291677736213879) }}, {{ 2, SC_(16.000000000000000000000000000000000), SC_(-0.0041580101239589621541865297842265262) }}, {{ 2, SC_(32.000000000000000000000000000000000), SC_(-0.0010075567602140907392185110593117265) }}, {{ 2, SC_(64.000000000000000000000000000000000), SC_(-0.00024798512216328534949893202341675581) }}, {{ 2, SC_(128.00000000000000000000000000000000), SC_(-0.000061513856015459056093727063597403146) }}, {{ 2, SC_(256.00000000000000000000000000000000), SC_(-0.000015318510122005107648117663349723503) }}, {{ 2, SC_(512.00000000000000000000000000000000), SC_(-3.8221551221702861883051574825692679e-6) }}, {{ 2, SC_(1024.0000000000000000000000000000000), SC_(-9.5460609372807180482794242236285690e-7) }}, {{ 2, SC_(2048.0000000000000000000000000000000), SC_(-2.3853502284509660646447307719091929e-7) }}, {{ 2, SC_(4096.0000000000000000000000000000000), SC_(-5.9619198466975795959019740002484769e-8) }}, {{ 2, SC_(8192.0000000000000000000000000000000), SC_(-1.4902980294273504017537750635770593e-8) }}, {{ 2, SC_(16384.000000000000000000000000000000), SC_(-3.7255176790762511898502424554181168e-9) }}, {{ 2, SC_(32768.000000000000000000000000000000), SC_(-9.3135099675858978849200435754135096e-10) }}, {{ 2, SC_(65536.000000000000000000000000000000), SC_(-2.3283419639465348371721333739142464e-10) }}, {{ 2, SC_(131072.00000000000000000000000000000), SC_(-5.8208105004371323183654400926421586e-11) }}, {{ 2, SC_(262144.00000000000000000000000000000), SC_(-1.4551970739623962182873920142648449e-11) }}, {{ 2, SC_(524288.00000000000000000000000000000), SC_(-3.6379857459922343037889500943887953e-12) }}, {{ 2, SC_(1.0485760000000000000000000000000000e6), SC_(-9.0949556913507981662486265691361231e-13) }}, {{ 2, SC_(2.0971520000000000000000000000000000e6), SC_(-2.2737378386347515742334544652596257e-13) }}, {{ 2, SC_(4.1943040000000000000000000000000000e6), SC_(-5.6843432413336786525629259100975662e-14) }}, {{ 2, SC_(8.3886080000000000000000000000000000e6), SC_(-1.4210856409267999200219031777240284e-14) }}, {{ 2, SC_(1.6777216000000000000000000000000000e7), SC_(-3.5527138905587440538179478730582199e-15) }}, {{ 2, SC_(3.3554432000000000000000000000000000e7), SC_(-8.8817844616990522846624354086352033e-16) }}, {{ 2, SC_(6.7108864000000000000000000000000000e7), SC_(-2.2204460823375378294874032126041593e-16) }}, {{ 2, SC_(1.3421772800000000000000000000000000e8), SC_(-5.5511151644848134838439376350034016e-17) }}, {{ 2, SC_(2.6843545600000000000000000000000000e8), SC_(-1.3877787859513245136156122749960089e-17) }}, {{ 2, SC_(5.3687091200000000000000000000000000e8), SC_(-3.4694469584159627304129087489268059e-18) }}, {{ 2, SC_(1.0737418240000000000000000000000000e9), 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}}, {{ SC_(30.0),  SC_(1.8014398509481984000000000000000000e16), SC_(-1.8964694214383340521722742474983073e-457) }}, {{ SC_(30.0),  SC_(3.6028797018963968000000000000000000e16), SC_(-1.7662247842534755008372178353398608e-466) }}, {{ SC_(30.0),  SC_(7.2057594037927936000000000000000000e16), SC_(-1.6449250134206145379392674041454779e-475) }}, {{ SC_(30.0),  SC_(1.4411518807585587200000000000000000e17), SC_(-1.5319557985482871222587909400586267e-484) }}, {{ SC_(30.0),  SC_(2.8823037615171174400000000000000000e17), SC_(-1.4267450185011020326364788255126534e-493) }}, {{ SC_(30.0),  SC_(5.7646075230342348800000000000000000e17), SC_(-1.3287598439502548384585954790099239e-502) }}, {{ SC_(30.0),  SC_(1.1529215046068469760000000000000000e18), SC_(-1.2375040389134127843853680088571555e-511) }}, {{ SC_(30.0),  SC_(2.3058430092136939520000000000000000e18), SC_(-1.1525154476178928989312989675999669e-520) }}, {{ SC_(30.0),  SC_(4.6116860184273879040000000000000000e18), SC_(-1.0733636539596066765325327508232535e-529) }}, {{ SC_(30.0),  SC_(9.2233720368547758080000000000000000e18), SC_(-9.9964780170433844885501818972479211e-539) }}, {{ SC_(30.0),  SC_(1.8446744073709551616000000000000000e19), SC_(-9.3099456439198781553856371993072353e-548) }}, {{ SC_(30.0),  SC_(3.6893488147419103232000000000000000e19), SC_(-8.6705625466256198953841239814504762e-557) }}, {{ SC_(30.0),  SC_(7.3786976294838206464000000000000000e19), SC_(-8.0750906342879122995040411743125170e-566) }}, {{ SC_(30.0),  SC_(1.4757395258967641292800000000000000e20), SC_(-7.5205141997783559362248117439409145e-575) }}, {{ SC_(30.0),  SC_(2.9514790517935282585600000000000000e20), SC_(-7.0040246469698435960734303533011581e-584) }}, {{ SC_(30.0),  SC_(5.9029581035870565171200000000000000e20), SC_(-6.5230062668862227312246814035998837e-593) }}, {{ SC_(30.0),  SC_(1.1805916207174113034240000000000000e21), SC_(-6.0750229907093781336599992450810038e-602) }}, {{ SC_(30.0),  SC_(2.3611832414348226068480000000000000e21), SC_(-5.6578060525556822620531601462211155e-611) }}, {{ SC_(30.0),  SC_(4.7223664828696452136960000000000000e21), SC_(-5.2692424995411953535258666060047970e-620) }}, {{ SC_(30.0),  SC_(9.4447329657392904273920000000000000e21), SC_(-4.9073644909460054277605359114212468e-629) }}, {{ SC_(30.0),  SC_(1.8889465931478580854784000000000000e22), SC_(-4.5703393322844108825145652571006034e-638) }}, {{ SC_(30.0),  SC_(3.7778931862957161709568000000000000e22), SC_(-4.2564601938095045113123493445833636e-647) }}, {{ SC_(30.0),  SC_(7.5557863725914323419136000000000000e22), SC_(-3.9641374664469664090420159863859993e-656) }}, {{ SC_(30.0),  SC_(1.5111572745182864683827200000000000e23), SC_(-3.6918907113810688341424078675611601e-665) }}, {{ SC_(30.0),  SC_(3.0223145490365729367654400000000000e23), SC_(-3.4383411625223875363750612697898904e-674) }}, {{ SC_(30.0),  SC_(6.0446290980731458735308800000000000e23), SC_(-3.2022047438867274079238771888571055e-683) }}, {{ SC_(30.0),  SC_(1.2089258196146291747061760000000000e24), SC_(-2.9822855665224859564787125744222496e-692) }}, {{ SC_(30.0),  SC_(2.4178516392292583494123520000000000e24), SC_(-2.7774698720523025435197111896762965e-701) }}, {{ SC_(30.0),  SC_(4.8357032784585166988247040000000000e24), SC_(-2.5867203921566741015014262629362602e-710) }}, {{ SC_(30.0),  SC_(9.6714065569170333976494080000000000e24), SC_(-2.4090710954337139627909495039162813e-719) }}, {{ SC_(30.0),  SC_(1.9342813113834066795298816000000000e25), SC_(-2.2436222950310576360588405614024340e-728) }}, {{ SC_(30.0),  SC_(3.8685626227668133590597632000000000e25), SC_(-2.0895360922730133273255449640176061e-737) }}, {{ SC_(30.0),  SC_(7.7371252455336267181195264000000000e25), SC_(-1.9460321332076688551581879695116458e-746) }}, {{ SC_(30.0),  SC_(1.5474250491067253436239052800000000e26), SC_(-1.8123836565834180034307649180969011e-755) }}, {{ SC_(30.0),  SC_(3.0948500982134506872478105600000000e26), SC_(-1.6879138132402841033700526042422183e-764) }}, {{ SC_(30.0),  SC_(6.1897001964269013744956211200000000e26), SC_(-1.5719922382759713599179429591983936e-773) }}, {{ SC_(30.0),  SC_(1.2379400392853802748991242240000000e27), SC_(-1.4640318586267264186571752095136003e-782) }}, {{ SC_(30.0),  SC_(2.4758800785707605497982484480000000e27), SC_(-1.3634859198953271085928894585406723e-791) }}, {{ SC_(30.0),  SC_(4.9517601571415210995964968960000000e27), SC_(-1.2698452173688701433994709089494920e-800) }}, {{ SC_(30.0),  SC_(9.9035203142830421991929937920000000e27), SC_(-1.1826355172031280988822420193126128e-809) }}, {{ SC_(30.0),  SC_(1.9807040628566084398385987584000000e28), SC_(-1.1014151547133252945563215933898419e-818) }}, {{ SC_(30.0),  SC_(3.9614081257132168796771975168000000e28), SC_(-1.0257727976081197099353387886404875e-827) }}, {{ SC_(30.0),  SC_(7.9228162514264337593543950336000000e28), SC_(-9.5532536283891621039746216353614015e-837) }}, {{ SC_(30.0),  SC_(1.5845632502852867518708790067200000e29), SC_(-8.8971607651460562869670071028704372e-846) }}, {{ SC_(30.0),  SC_(3.1691265005705735037417580134400000e29), SC_(-8.2861266705636459281360796675545348e-855) }}, {{ SC_(30.0),  SC_(6.3382530011411470074835160268800000e29), SC_(-7.7170568244193177000955489160105929e-864) }}, {{ SC_(30.0),  SC_(1.2676506002282294014967032053760000e30), SC_(-7.1870692301721476950641245729469486e-873) }},
+      {{ SC_(31.0), SC_(2.0000000000000000000000000000000000), SC_(1.9145332544935048093264355986676073e24) }}, {{ SC_(31.0), SC_(4.0000000000000000000000000000000000), SC_(4.4611518561919816922776795853710092e14) }}, {{ SC_(31.0), SC_(8.0000000000000000000000000000000000), SC_(106267.95619808419253963903669279065) }}, {{ SC_(31.0), SC_(16.000000000000000000000000000000000), SC_(0.000028318136062027075392587779376335821) }}, {{ SC_(31.0), SC_(32.000000000000000000000000000000000), SC_(9.0814734303237413772295578988209818e-15) }}
+   } };
+   do_test_polygamma<T>(big_data, name, "Mathematica Data - large arguments");
+
+   boost::array<boost::array<value_type, 3>, 551> neg_data =
+   { {
+      {{ SC_(1.0), SC_(-12.750), SC_(19.663772856722737612034697464751605) }}, {{ SC_(1.0), SC_(-12.250), SC_(19.660817549236368273654684043826967) }}, {{ SC_(1.0), SC_(-11.750), SC_(19.657621376522814505537196503582823) }}, {{ SC_(1.0), SC_(-11.250), SC_(19.654153659190554029589711115880278) }}, {{ SC_(1.0), SC_(-10.750), SC_(19.650378280099093364749509767503149) }}, {{ SC_(1.0), SC_(-10.250), SC_(19.646252424622652795021809881312377) }}, {{ SC_(1.0), SC_(-9.7500), SC_(19.641724953976865133273035997897957) }}, {{ SC_(1.0), SC_(-9.2500), SC_(19.636734280660725370869519577921538) }}, {{ SC_(1.0), SC_(-8.7500), SC_(19.631205558842085383108670448917024) }}, {{ SC_(1.0), SC_(-8.2500), SC_(19.625046917622010980803778160828770) }}, {{ SC_(1.0), SC_(-7.7500), SC_(19.618144334352289464741323510141514) }}, {{ SC_(1.0), SC_(-7.2500), SC_(19.610354539293269015698176691590937) }}, {{ SC_(1.0), SC_(-6.7500), SC_(19.601495010731061577124257953429755) }}, {{ SC_(1.0), SC_(-6.2500), SC_(19.591329569019785068016844943671793) }}, {{ SC_(1.0), SC_(-5.7500), SC_(19.579547136931335925546754524074474) }}, {{ SC_(1.0), SC_(-5.2500), SC_(19.565729569019785068016844943671793) }}, {{ SC_(1.0), SC_(-4.7500), SC_(19.549301390239464469970194977760674) }}, {{ SC_(1.0), SC_(-4.2500), SC_(19.529448389881463072551992335962043) }}, {{ SC_(1.0), SC_(-3.7500), SC_(19.504980060599575273294294700752364) }}, {{ SC_(1.0), SC_(-3.2500), SC_(19.474085068082155114074483685443011) }}, {{ SC_(1.0), SC_(-2.7500), SC_(19.433868949488464162183183589641253) }}, {{ SC_(1.0), SC_(-2.2500), SC_(19.379410511869137362595193744614609) }}, {{ SC_(1.0), SC_(-1.7500), SC_(19.301637544529786476232770366500757) }}, {{ SC_(1.0), SC_(-1.2500), SC_(19.181879647671606498397662880417078) }}, {{ SC_(1.0), SC_(-0.75000), SC_(18.975106932284888517049096897113002) }}, {{ SC_(1.0), SC_(-0.25000), SC_(18.541879647671606498397662880417078) }},
+      {{ SC_(2.0), SC_(-12.750), SC_(-124.03079461415823384604153251543681) }}, {{ SC_(2.0), SC_(-12.250), SC_(124.01896466745858356132308878716344) }}, {{ SC_(2.0), SC_(-11.750), SC_(-124.03175955222881001960976796032603) }}, {{ SC_(2.0), SC_(-11.250), SC_(124.01787668541028735821044014586602) }}, {{ SC_(2.0), SC_(-10.750), SC_(-124.03299241970518808612682102178640) }}, {{ SC_(2.0), SC_(-10.250), SC_(124.01647202148710491650947992638728) }}, {{ SC_(2.0), SC_(-9.7500), SC_(-124.03460234084420729198290916496876) }}, {{ SC_(2.0), SC_(-9.2500), SC_(124.01461482266526541911391108670126) }}, {{ SC_(2.0), SC_(-8.7500), SC_(-124.03676016548723903560636876475972) }}, {{ SC_(2.0), SC_(-8.2500), SC_(124.01208782525148933477537240192445) }}, {{ SC_(2.0), SC_(-7.7500), SC_(-124.03974558822776381694747663647984) }}, {{ SC_(2.0), SC_(-7.2500), SC_(124.00852603656573370687098416695770) }}, {{ SC_(2.0), SC_(-6.7500), SC_(-124.04404218787195165891317097369578) }}, {{ SC_(2.0), SC_(-6.2500), SC_(124.00327776890408296268303058132483) }}, {{ SC_(2.0), SC_(-5.7500), SC_(-124.05054526159038888901020902683808) }}, {{ SC_(2.0), SC_(-5.2500), SC_(123.99508576890408296268303058132483) }}, {{ SC_(2.0), SC_(-4.7500), SC_(-124.06106552130930069964553408642549) }}, {{ SC_(2.0), SC_(-4.2500), SC_(123.98126436732757934536308673076874) }}, {{ SC_(2.0), SC_(-3.7500), SC_(-124.07972713378925404561433420306057) }}, {{ SC_(2.0), SC_(-3.2500), SC_(123.95521103942202265902072971875978) }}, {{ SC_(2.0), SC_(-2.7500), SC_(-124.11765305971517997154026012898649) }}, {{ SC_(2.0), SC_(-2.2500), SC_(123.89694977406016558118732052440384) }}, {{ SC_(2.0), SC_(-1.7500), SC_(-124.21382135423058192495874247308867) }}, {{ SC_(2.0), SC_(-1.2500), SC_(123.72136678366236036856729308956159) }}, {{ SC_(2.0), SC_(-0.75000), SC_(-124.58699919679617959259722643810325) }}, {{ SC_(2.0), SC_(-0.25000), SC_(122.69736678366236036856729308956159) }},
+      {{ SC_(3.0), SC_(-12.750), SC_(1558.5445992104061926890981987122713) }}, {{ SC_(3.0), SC_(-12.250), SC_(1558.5444945580353369268010524200916) }}, {{ SC_(3.0), SC_(-11.750), SC_(1558.5443721661542924129644962546503) }}, {{ SC_(3.0), SC_(-11.250), SC_(1558.5442281134520807137938731609983) }}, {{ SC_(3.0), SC_(-10.750), SC_(1558.5440573914794724810878018559796) }}, {{ SC_(3.0), SC_(-10.250), SC_(1558.5438535364058987293402837691373) }}, {{ SC_(3.0), SC_(-9.7500), SC_(1558.5436081111616066561977307462543) }}, {{ SC_(3.0), SC_(-9.2500), SC_(1558.5433099660190188764440197184975) }}, {{ SC_(3.0), SC_(-8.7500), SC_(1558.5429441651175968889289739463186) }}, {{ SC_(3.0), SC_(-8.2500), SC_(1558.5424903992902266328747639288402) }}, {{ SC_(3.0), SC_(-7.7500), SC_(1558.5419205916065598210405941045860) }}, {{ SC_(3.0), SC_(-7.2500), SC_(1558.5411952034044973136368045706704) }}, {{ SC_(3.0), SC_(-6.7500), SC_(1558.5402573917442935596345188772766) }}, {{ SC_(3.0), SC_(-6.2500), SC_(1558.5390235064410556263866168800637) }}, {{ SC_(3.0), SC_(-5.7500), SC_(1558.5373671367583214573691686314356) }}, {{ SC_(3.0), SC_(-5.2500), SC_(1558.5350913464410556263866168800637) }}, {{ SC_(3.0), SC_(-4.7500), SC_(1558.5318783056006283387768251220856) }}, {{ SC_(3.0), SC_(-4.2500), SC_(1558.5271934026830535593466489654603) }}, {{ SC_(3.0), SC_(-3.7500), SC_(1558.5200920240343420150070566273687) }}, {{ SC_(3.0), SC_(-3.2500), SC_(1558.5088028182791311925167498981598) }}, {{ SC_(3.0), SC_(-2.7500), SC_(1558.4897512832936012742663158866280) }}, {{ SC_(3.0), SC_(-2.2500), SC_(1558.4550231887143400437474491033697) }}, {{ SC_(3.0), SC_(-1.7500), SC_(1558.3848404165495264159916078748802) }}, {{ SC_(3.0), SC_(-1.2500), SC_(1558.2209125348505997602540791902467) }}, {{ SC_(3.0), SC_(-0.75000), SC_(1557.7451069721513589857542067919980) }}, {{ SC_(3.0), SC_(-0.25000), SC_(1555.7633125348505997602540791902467) }},
+      {{ SC_(4.0), SC_(-12.750), SC_(-24481.574976569827769932951761311307) }}, {{ SC_(4.0), SC_(-12.250), SC_(24481.574556933476371183897773040987) }}, {{ SC_(4.0), SC_(-11.750), SC_(-24481.575047799396993548993707180364) }}, {{ SC_(4.0), SC_(-11.250), SC_(24481.574469931163471195977061446181) }}, {{ SC_(4.0), SC_(-10.750), SC_(-24481.575154956733102461973007401188) }}, {{ SC_(4.0), SC_(-10.250), SC_(24481.574336748213717601504674106852) }}, {{ SC_(4.0), SC_(-9.7500), SC_(-24481.575322130804866489839080372249) }}, {{ SC_(4.0), SC_(-9.2500), SC_(24481.574124623184691317447595452944) }}, {{ SC_(4.0), SC_(-8.7500), SC_(-24481.575594518925485881539083161966) }}, {{ SC_(4.0), SC_(-8.2500), SC_(24481.573770215950618995904133489849) }}, {{ SC_(4.0), SC_(-7.7500), SC_(-24481.576062438244817112573771089615) }}, {{ SC_(4.0), SC_(-7.2500), SC_(24481.573142242187841144152395619221) }}, {{ SC_(4.0), SC_(-6.7500), SC_(-24481.576920863980180344267229271453) }}, {{ SC_(4.0), SC_(-6.2500), SC_(24481.571944064552838833945395514059) }}, {{ SC_(4.0), SC_(-5.7500), SC_(-24481.578633607675571219683733120840) }}, {{ SC_(4.0), SC_(-5.2500), SC_(24481.569427482152838833945395514059) }}, {{ SC_(4.0), SC_(-4.7500), SC_(-24481.582451925002662084791450344735) }}, {{ SC_(4.0), SC_(-4.2500), SC_(24481.563410001194361068581610436266) }}, {{ SC_(4.0), SC_(-3.7500), SC_(-24481.592377214742692673229150129760) }}, {{ SC_(4.0), SC_(-3.2500), SC_(24481.546101215873022370388764255277) }}, {{ SC_(4.0), SC_(-2.7500), SC_(-24481.624740671532816130019273586550) }}, {{ SC_(4.0), SC_(-2.2500), SC_(24481.479910902562510187288086353997) }}, {{ SC_(4.0), SC_(-1.7500), SC_(-24481.777338295887834105691576149093) }}, {{ SC_(4.0), SC_(-1.2500), SC_(24481.063714184582527461077650952890) }}, {{ SC_(4.0), SC_(-0.75000), SC_(-24483.239586168797931089091350052823) }}, {{ SC_(4.0), SC_(-0.25000), SC_(24473.199394184582527461077650952890) }},
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SC_(-1.3877787807814456755295395851135254e-17), SC_(7.4828883831342229412028663435073691e50) }}, {{ SC_(2.0), SC_(-6.9388939039072283776476979255676270e-18), SC_(5.9863107065073783529622930748058952e51) }}, {{ SC_(2.0), SC_(-3.4694469519536141888238489627838135e-18), SC_(4.7890485652059026823698344598447162e52) }}, {{ SC_(2.0), SC_(-1.7347234759768070944119244813919067e-18), SC_(3.8312388521647221458958675678757730e53) }}, {{ SC_(2.0), SC_(-8.6736173798840354720596224069595337e-19), SC_(3.0649910817317777167166940543006184e54) }}, {{ SC_(2.0), SC_(-4.3368086899420177360298112034797668e-19), SC_(2.4519928653854221733733552434404947e55) }}, {{ SC_(2.0), SC_(-2.1684043449710088680149056017398834e-19), SC_(1.9615942923083377386986841947523958e56) }}, {{ SC_(2.0), SC_(-1.0842021724855044340074528008699417e-19), SC_(1.5692754338466701909589473558019166e57) }}, {{ SC_(2.0), SC_(-5.4210108624275221700372640043497086e-20), SC_(1.2554203470773361527671578846415333e58) }}, {{ SC_(2.0), SC_(-2.7105054312137610850186320021748543e-20), SC_(1.0043362776618689222137263077132266e59) }}, {{ SC_(2.0), SC_(-1.3552527156068805425093160010874271e-20), SC_(8.0346902212949513777098104617058130e59) }}, {{ SC_(2.0), SC_(-6.7762635780344027125465800054371357e-21), SC_(6.4277521770359611021678483693646504e60) }}, {{ SC_(2.0), SC_(-3.3881317890172013562732900027185678e-21), SC_(5.1422017416287688817342786954917203e61) }},
+      {{ SC_(3.0), SC_(-9.5367431640625000000000000000000000e-7), SC_(7.2535549176877750482370624939631357e24) }}, {{ SC_(3.0), SC_(-4.7683715820312500000000000000000000e-7), SC_(1.1605687868300440077179290249395127e26) }}, {{ SC_(3.0), SC_(-2.3841857910156250000000000000000000e-7), SC_(1.8569100589280704123486863424939453e27) }}, {{ SC_(3.0), SC_(-1.1920928955078125000000000000000000e-7), SC_(2.9710560942849126597578981382493942e28) }}, {{ SC_(3.0), SC_(-5.9604644775390625000000000000000000e-8), SC_(4.7536897508558602556126370202249394e29) }}, {{ SC_(3.0), SC_(-2.9802322387695312500000000000000000e-8), SC_(7.6059036013693764089802192322624939e30) }}, {{ SC_(3.0), SC_(-1.4901161193847656250000000000000000e-8), SC_(1.2169445762191002254368350771610249e32) }}, {{ SC_(3.0), SC_(-7.4505805969238281250000000000000000e-9), SC_(1.9471113219505603606989361234575425e33) }}, {{ SC_(3.0), SC_(-3.7252902984619140625000000000000000e-9), SC_(3.1153781151208965771182977975320582e34) }}, {{ SC_(3.0), SC_(-1.8626451492309570312500000000000000e-9), SC_(4.9846049841934345233892764760512922e35) }}, {{ SC_(3.0), SC_(-9.3132257461547851562500000000000000e-10), SC_(7.9753679747094952374228423616820675e36) }}, {{ SC_(3.0), SC_(-4.6566128730773925781250000000000000e-10), SC_(1.2760588759535192379876547778691308e38) }}, {{ SC_(3.0), SC_(-2.3283064365386962890625000000000000e-10), SC_(2.0416942015256307807802476445906093e39) }}, {{ SC_(3.0), SC_(-1.1641532182693481445312500000000000e-10), SC_(3.2667107224410092492483962313449748e40) }}, {{ SC_(3.0), SC_(-5.8207660913467407226562500000000000e-11), SC_(5.2267371559056147987974339701519597e41) }}, {{ SC_(3.0), SC_(-2.9103830456733703613281250000000000e-11), SC_(8.3627794494489836780758943522431356e42) }}, {{ SC_(3.0), SC_(-1.4551915228366851806640625000000000e-11), SC_(1.3380447119118373884921430963589017e44) }}, {{ SC_(3.0), SC_(-7.2759576141834259033203125000000000e-12), SC_(2.1408715390589398215874289541742427e45) }}, {{ SC_(3.0), SC_(-3.6379788070917129516601562500000000e-12), SC_(3.4253944624943037145398863266787883e46) }}, {{ SC_(3.0), SC_(-1.8189894035458564758300781250000000e-12), SC_(5.4806311399908859432638181226860613e47) }}, {{ SC_(3.0), SC_(-9.0949470177292823791503906250000000e-13), SC_(8.7690098239854175092221089962976981e48) }}, {{ SC_(3.0), SC_(-4.5474735088646411895751953125000000e-13), SC_(1.4030415718376668014755374394076317e50) }}, {{ SC_(3.0), SC_(-2.2737367544323205947875976562500000e-13), SC_(2.2448665149402668823608599030522107e51) }}, {{ SC_(3.0), SC_(-1.1368683772161602973937988281250000e-13), SC_(3.5917864239044270117773758448835371e52) }}, {{ SC_(3.0), SC_(-5.6843418860808014869689941406250000e-14), SC_(5.7468582782470832188438013518136594e53) }}, {{ SC_(3.0), SC_(-2.8421709430404007434844970703125000e-14), SC_(9.1949732451953331501500821629018551e54) }}, {{ SC_(3.0), SC_(-1.4210854715202003717422485351562500e-14), SC_(1.4711957192312533040240131460642968e56) }}, {{ SC_(3.0), SC_(-7.1054273576010018587112426757812500e-15), SC_(2.3539131507700052864384210337028749e57) }}, {{ SC_(3.0), SC_(-3.5527136788005009293556213378906250e-15), SC_(3.7662610412320084583014736539245998e58) }}, {{ SC_(3.0), SC_(-1.7763568394002504646778106689453125e-15), SC_(6.0260176659712135332823578462793598e59) }}, {{ SC_(3.0), SC_(-8.8817841970012523233890533447265625e-16), SC_(9.6416282655539416532517725540469756e60) }}, {{ SC_(3.0), SC_(-4.4408920985006261616945266723632812e-16), SC_(1.5426605224886306645202836086475161e62) }}, {{ SC_(3.0), SC_(-2.2204460492503130808472633361816406e-16), SC_(2.4682568359818090632324537738360258e63) }}, {{ SC_(3.0), SC_(-1.1102230246251565404236316680908203e-16), SC_(3.9492109375708945011719260381376412e64) }}, {{ SC_(3.0), SC_(-5.5511151231257827021181583404541016e-17), SC_(6.3187375001134312018750816610202259e65) }}, {{ SC_(3.0), SC_(-2.7755575615628913510590791702270508e-17), SC_(1.0109980000181489923000130657632362e67) }}, {{ SC_(3.0), SC_(-1.3877787807814456755295395851135254e-17), SC_(1.6175968000290383876800209052211778e68) }}, {{ SC_(3.0), SC_(-6.9388939039072283776476979255676270e-18), SC_(2.5881548800464614202880334483538845e69) }}, {{ SC_(3.0), SC_(-3.4694469519536141888238489627838135e-18), SC_(4.1410478080743382724608535173662153e70) }}, {{ SC_(3.0), SC_(-1.7347234759768070944119244813919067e-18), SC_(6.6256764929189412359373656277859444e71) }}, {{ SC_(3.0), SC_(-8.6736173798840354720596224069595337e-19), SC_(1.0601082388670305977499785004457511e73) }}, {{ SC_(3.0), SC_(-4.3368086899420177360298112034797668e-19), SC_(1.6961731821872489563999656007132018e74) }}, {{ SC_(3.0), SC_(-2.1684043449710088680149056017398834e-19), SC_(2.7138770914995983302399449611411228e75) }}, {{ SC_(3.0), SC_(-1.0842021724855044340074528008699417e-19), SC_(4.3422033463993573283839119378257965e76) }}, {{ SC_(3.0), SC_(-5.4210108624275221700372640043497086e-20), SC_(6.9475253542389717254142591005212745e77) }}, {{ SC_(3.0), SC_(-2.7105054312137610850186320021748543e-20), SC_(1.1116040566782354760662814560834039e79) }}, {{ SC_(3.0), SC_(-1.3552527156068805425093160010874271e-20), SC_(1.7785664906851767617060503297334463e80) }}, {{ SC_(3.0), SC_(-6.7762635780344027125465800054371357e-21), SC_(2.8457063850962828187296805275735140e81) }}, {{ SC_(3.0), SC_(-3.3881317890172013562732900027185678e-21), SC_(4.5531302161540525099674888441176224e82) }},
+      {{ SC_(124.0), SC_(-1.500), SC_(-2.7249890458922632375522129837125443e157) }}, {{ SC_(124.0), SC_(-2.500), SC_(-1.4769313224896369911103029786543928e139) }}, {{ SC_(124.0), SC_(-3.500), SC_(-3.3597086916687478281510460837686247e125) }}, {{ SC_(124.0), SC_(-4.500), SC_(-4.2907148995777554014718947851654811e114) }}, {{ SC_(124.0), SC_(-5.500), SC_(-3.6618139249627692553752809354502259e105) }}, {{ SC_(124.0), SC_(-6.500), SC_(-6.2403362354301509400433157402892941e97) }}, {{ SC_(124.0), SC_(-7.500), SC_(-1.0011531735317576688720095395178850e91) }}, {{ SC_(124.0), SC_(-8.500), SC_(-9.1710019415963060853316564350633528e84) }}, {{ SC_(124.0), SC_(-9.500), SC_(-3.3822714836539651302726236480037681e79) }}, {{ SC_(124.0), SC_(-10.50), SC_(-3.8962670995991768118677582868234531e74) }}, {{ SC_(124.0), SC_(-11.50), SC_(-1.1591591018132801852584224474253891e70) }}, {{ SC_(124.0), SC_(-12.50), SC_(-7.6948850968760327095578155247202587e65) }}, {{ SC_(124.0), SC_(-13.50), SC_(-1.0161777096507539745875317371106118e62) }}, {{ SC_(124.0), SC_(-14.50), SC_(-2.4354484351409547531920463990216679e58) }}, {{ SC_(124.0), SC_(-15.50), SC_(-9.8321990426222594076174716964878395e54) }}, {{ SC_(124.0), SC_(-16.50), SC_(-6.2882245279340391405004802996498744e51) }}, {{ SC_(124.0), SC_(-17.50), SC_(-6.0534504786126893203140318104359656e48) }}, {{ SC_(124.0), SC_(-18.50), SC_(-8.4019112566928602772066808945728022e45) }}, {{ SC_(124.0), SC_(-19.50), SC_(-1.6209265582255125824031570171026802e43) }}, {{ SC_(124.0), SC_(-20.50), SC_(-4.2125071484047517848318042867661534e40) }},
+      {{ SC_(125.0), SC_(-1.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-2.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-3.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-4.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-5.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-6.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-7.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-8.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-9.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-10.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-11.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-12.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-13.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-14.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-15.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-16.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-17.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-18.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-19.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-20.50), SC_(3.2032092294989705945080639466924596e247) }},
+      {{ SC_(125.0), SC_(-1.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+      {{ SC_(125.0), SC_(-1.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+   } };
+   do_test_polygamma<T>(neg_data, name, "Mathematica Data - negative arguments");
+
+   boost::array<boost::array<value_type, 3>, 103> neg_double_data =
+   { {
+      { { SC_(124.0), SC_(-1.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } },
+      { { SC_(124.0), SC_(-1.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } },
+      { { SC_(1.0), SC_(-0.500), SC_(8.9348022005446793094172454999380756) } }, { { SC_(2.0), SC_(-0.500), SC_(-0.82879664423431999559633426116029987) } }, { { SC_(3.0), SC_(-0.500), SC_(193.40909103400243723644033268870511) } }, { { SC_(4.0), SC_(-0.500), SC_(-3.4742498266672251905359219240334210) } }, { { SC_(5.0), SC_(-0.500), SC_(15371.113548602435496241755549219359) } }, { { SC_(6.0), SC_(-0.500), SC_(-43.457923803023286231087958265415698) } }, { { SC_(7.0), SC_(-0.500), SC_(2.5806802181855980649694862685313201e6) } }, { { SC_(8.0), SC_(-0.500), SC_(-1059.9617600414264025178879353865365) } }, { { SC_(9.0), SC_(-0.500), SC_(7.4318457238509742722370782665375996e8) } }, { { SC_(10.), SC_(-0.500), SC_(-42108.858768975491796771277214753871) } }, { { SC_(11.), SC_(-0.500), SC_(3.2699873393475880004602936491973290e11) } }, { { SC_(12.), SC_(-0.500), SC_(-2.4644776094268285475780118302319831e6) } }, { { SC_(13.), SC_(-0.500), SC_(2.0404703892185195041277151739878551e14) } }, { { SC_(14.), SC_(-0.500), SC_(-1.9917964814708338071590970890436861e8) } }, { { SC_(15.), SC_(-0.500), SC_(1.7139949675391451725203269743703670e17) } }, { { SC_(16.), SC_(-0.500), SC_(-2.1239385116043117742696464301184360e10) } }, { { SC_(17.), SC_(-0.500), SC_(1.8648265054229230657699496051237022e20) } }, { { SC_(18.), SC_(-0.500), SC_(-2.8882421804274914449348671586694211e12) } }, { { SC_(19.), SC_(-0.500), SC_(2.5510826564916635359511595679555294e23) } }, { { SC_(20.), SC_(-0.500), SC_(-4.8777294946260987363553987421237456e14) } }, { { SC_(21.), SC_(-0.500), SC_(4.2858188623596794335838558079810850e26) } },
+      { { SC_(1.0), SC_(-0.50000023841857910156250000000000000), SC_(8.9348023981506946089014375825505155) } }, { { SC_(2.0), SC_(-0.50000023841857910156250000000000000), SC_(-0.82884275655508842604754532179574729) } }, { { SC_(3.0), SC_(-0.50000023841857910156250000000000000), SC_(193.40909186276501767728859938348815) } }, { { SC_(4.0), SC_(-0.50000023841857910156250000000000000), SC_(-3.4779145857199327369685563062655118) } }, { { SC_(5.0), SC_(-0.50000023841857910156250000000000000), SC_(15371.113559036959283359095676640936) } }, { { SC_(6.0), SC_(-0.50000023841857910156250000000000000), SC_(-44.073205913790411411330389206216025) } }, { { SC_(7.0), SC_(-0.50000023841857910156250000000000000), SC_(2.5806802184594352176701819301926979e6) } }, { { SC_(8.0), SC_(-0.50000023841857910156250000000000000), SC_(-1237.1507698016190706446362670415721) } }, { { SC_(9.0), SC_(-0.50000023841857910156250000000000000), SC_(7.4318457240443082449903207673842183e8) } }, { { SC_(10.), SC_(-0.50000023841857910156250000000000000), SC_(-120071.43228224150936593763797588950) } }, { { SC_(11.), SC_(-0.50000023841857910156250000000000000), SC_(3.2699873394114574294629126382636465e11) } }, { { SC_(12.), SC_(-0.50000023841857910156250000000000000), SC_(-5.1113082699448800419004327980237078e7) } }, { { SC_(13.), SC_(-0.50000023841857910156250000000000000), SC_(2.0404703892677090523475108203530504e14) } }, { { SC_(14.), SC_(-0.50000023841857910156250000000000000), SC_(-4.1064004123360078851054877806228941e10) } }, { { SC_(15.), SC_(-0.50000023841857910156250000000000000), SC_(1.7139949675921973682361201187974158e17) } }, { { SC_(16.), SC_(-0.50000023841857910156250000000000000), SC_(-4.4482167955078907488604509935932075e13) } }, { { SC_(17.), SC_(-0.50000023841857910156250000000000000), SC_(1.8648265054954360818722434334340996e20) } }, { { SC_(18.), SC_(-0.50000023841857910156250000000000000), SC_(-6.0825438456286690418846111378451293e16) } }, { { SC_(19.), SC_(-0.50000023841857910156250000000000000), SC_(2.5510826566134749972709942636451521e23) } }, { { SC_(20.), SC_(-0.50000023841857910156250000000000000), SC_(-1.0218237211995580504353583819436291e20) } }, { { SC_(21.), SC_(-0.50000023841857910156250000000000000), SC_(4.2858188626062237162861505116019247e26) } },
+      { { SC_(1.0), SC_(-0.49999976158142089843750000000000000), SC_(8.9348020029496580439061915046847633) } }, { { SC_(2.0), SC_(-0.49999976158142089843750000000000000), SC_(-0.82875053191374905338324754695139008) } }, { { SC_(3.0), SC_(-0.49999976158142089843750000000000000), SC_(193.40909020611360344139301017638823) } }, { { SC_(4.0), SC_(-0.49999976158142089843750000000000000), SC_(-3.4705850676169879410688441586536334) } }, { { SC_(5.0), SC_(-0.49999976158142089843750000000000000), SC_(15371.113538314606395712740903053532) } }, { { SC_(6.0), SC_(-0.49999976158142089843750000000000000), SC_(-42.842641692316412901148012739850716) } }, { { SC_(7.0), SC_(-0.49999976158142089843750000000000000), SC_(2.5806802179540060642078552424908302e6) } }, { { SC_(8.0), SC_(-0.49999976158142089843750000000000000), SC_(-882.77275028362734588789574976519641) } }, { { SC_(9.0), SC_(-0.49999976158142089843750000000000000), SC_(7.4318457238435175594844592942103986e8) } }, { { SC_(10.), SC_(-0.49999976158142089843750000000000000), SC_(35853.714744150436439369297880163123) } }, { { SC_(11.), SC_(-0.49999976158142089843750000000000000), SC_(3.2699873393997058844655604408250598e11) } }, { { SC_(12.), SC_(-0.49999976158142089843750000000000000), SC_(4.6184127480583821271680125577145403e7) } }, { { SC_(13.), SC_(-0.49999976158142089843750000000000000), SC_(2.0404703892667592897735663251491103e14) } }, { { SC_(14.), SC_(-0.49999976158142089843750000000000000), SC_(4.0665644827064704770358560360332387e10) } }, { { SC_(15.), SC_(-0.49999976158142089843750000000000000), SC_(1.7139949675920960909557128308150980e17) } }, { { SC_(16.), SC_(-0.49999976158142089843750000000000000), SC_(4.4439689184846657075559083382657063e13) } }, { { SC_(17.), SC_(-0.49999976158142089843750000000000000), SC_(1.8648265054954223096603082369745267e20) } }, { { SC_(18.), SC_(-0.49999976158142089843750000000000000), SC_(6.0819661971925807709274166342293111e16) } }, { { SC_(19.), SC_(-0.49999976158142089843750000000000000), SC_(2.5510826566134726713883235580466596e23) } }, { { SC_(20.), SC_(-0.49999976158142089843750000000000000), SC_(1.0218139657405687413065653078640133e20) } }, { { SC_(21.), SC_(-0.49999976158142089843750000000000000), SC_(4.2858188626062232387116210610555278e26) } },
+   } };
+   if(std::numeric_limits<T>::digits > 50)
+   {
+      do_test_polygamma<T>(neg_double_data, name, "Mathematica Data - large negative arguments");
+   }
+
+   boost::array<boost::array<value_type, 3>, 90> small_data =
+   { {
+      {{ SC_(0.0), SC_(0.12500000000000000000), SC_(-8.3884926632958548678027429230863430) }}, {{ SC_(0.0), SC_(0.062500000000000000000), SC_(-16.478853490060104366505723782801995) }}, {{ SC_(0.0), SC_(0.031250000000000000000), SC_(-32.526953288606118111369026129964135) }}, {{ SC_(0.0), SC_(0.015625000000000000000), SC_(-64.551802973167856670965920212624596) }}, {{ SC_(0.0), SC_(0.0078125000000000000000), SC_(-128.56443747297672763722041223143322) }}, {{ SC_(0.0), SC_(0.0039062500000000000000), SC_(-256.57080841886464838984737508407824) }}, {{ SC_(0.0), SC_(0.0019531250000000000000), SC_(-512.57400748048652546824732749592750) }}, {{ SC_(0.0), SC_(0.00097656250000000000000), SC_(-1024.5756104293406219086220979096446) }}, {{ SC_(0.0), SC_(0.00048828125000000000000), SC_(-2048.5764127609059633822989920937770) }}, {{ SC_(0.0), SC_(0.00024414062500000000000), SC_(-4096.5768141413027972625364884707221) }}, {{ SC_(0.0), SC_(0.00012207031250000000000), SC_(-8192.5770148851960259755970875167303) }}, {{ SC_(0.0), SC_(0.000061035156250000000000), SC_(-16384.577115270571506673278270921248) }}, {{ SC_(0.0), SC_(0.000030517578125000000000), SC_(-32768.577165466617109315191527852551) }}, {{ SC_(0.0), SC_(0.000015258789062500000000), SC_(-65536.577190565479456940587995127301) }}, {{ SC_(0.0), SC_(7.6293945312500000000e-6), SC_(-131072.57720311512052742189906385878) }}, {{ SC_(0.0), SC_(3.8146972656250000000e-6), SC_(-262144.57720938999353809133982546559) }}, {{ SC_(0.0), SC_(1.9073486328125000000e-6), SC_(-524288.57721252744316244096483807868) }}, {{ SC_(0.0), SC_(9.5367431640625000000e-7), SC_(-1.0485765772140961712543892173131386e6) }},
+      {{ SC_(1.0), SC_(0.1250000000), SC_(65.388133444988034473142999334395961) }}, {{ SC_(1.0), SC_(0.06250000000), SC_(257.50642004291541426394984152786018) }}, {{ SC_(1.0), SC_(0.03125000000), SC_(1025.5728544782377088851896549789956) }}, {{ SC_(1.0), SC_(0.01562500000), SC_(4097.6081469812325471140472931934309) }}, {{ SC_(1.0), SC_(0.007812500000), SC_(16385.626348148031663597978251925972) }}, {{ SC_(1.0), SC_(0.003906250000), SC_(65537.635592296074077546680509110271) }}, {{ SC_(1.0), SC_(0.001953125000), SC_(262145.64025088744769438583827382756) }}, {{ SC_(1.0), SC_(0.0009765625000), SC_(1.0485776425893921526170408061678298e6) }},
+      {{ SC_(2.0), SC_(0.1250000000), SC_(-1025.7533381181356825956689300565174) }}, {{ SC_(2.0), SC_(0.06250000000), SC_(-8194.0423055503627202407284588855458) }}, {{ SC_(2.0), SC_(0.03125000000), SC_(-65538.212736402744663973874571262931) }}, {{ SC_(2.0), SC_(0.01562500000), SC_(-524290.30560802491992997062359624105) }}, {{ SC_(2.0), SC_(0.007812500000), SC_(-4.1943063541297826472489756741474152e6) }}, {{ SC_(2.0), SC_(0.003906250000), SC_(-3.3554434378935516909394862712904232e7) }}, {{ SC_(2.0), SC_(0.001953125000), SC_(-2.6843545839147764655287988662280398e8) }}, {{ SC_(2.0), SC_(0.0009765625000), SC_(-2.1474836503977839163960630063909364e9) }},
+      {{ SC_(3.0), SC_(0.1250000000), SC_(24580.143419063566218511004446647010) }}, {{ SC_(3.0), SC_(0.06250000000), SC_(393221.15036999967974263906424748910) }}, {{ SC_(3.0), SC_(0.03125000000), SC_(6.2914617723523498519444110540563165e6) }}, {{ SC_(3.0), SC_(0.01562500000), SC_(1.0066330211954465631968224525194028e8) }}, {{ SC_(3.0), SC_(0.007812500000), SC_(1.6106127423031841473495039368910042e9) }}, {{ SC_(3.0), SC_(0.003906250000), SC_(2.5769803782397651667126674423858834e10) }}, {{ SC_(3.0), SC_(0.001953125000), SC_(4.1231686042244556536661660289768233e11) }}, {{ SC_(3.0), SC_(0.0009765625000), SC_(6.5970697666624696945083422683684831e12) }},
+      {{ SC_(4.0), SC_(0.1250000000), SC_(-786445.98543106378579320120709638297) }}, {{ SC_(4.0), SC_(0.06250000000), SC_(-2.5165842491343080297812493001330106e7) }}, {{ SC_(4.0), SC_(0.03125000000), SC_(-8.0530638940150780088628643019449463e8) }}, {{ SC_(4.0), SC_(0.01562500000), SC_(-2.5769803799064252508878172105001377e10) }}, {{ SC_(4.0), SC_(0.007812500000), SC_(-8.2463372085595426712260437166652246e11) }}, {{ SC_(4.0), SC_(0.003906250000), SC_(-2.6388279066648414875708308182697262e13) }}, {{ SC_(4.0), SC_(0.001953125000), SC_(-8.4442493013199264920484069629201316e14) }}, {{ SC_(4.0), SC_(0.0009765625000), SC_(-2.7021597764223000767391638642998277e16) }},
+      {{ SC_(5.0), SC_(0.1250000000), SC_(3.1457340659602645662942019557433307e7) }}, {{ SC_(5.0), SC_(0.06250000000), SC_(2.0132660051504893647288429933363318e9) }}, {{ SC_(5.0), SC_(0.03125000000), SC_(1.2884901898167237155557768979087387e11) }}, {{ SC_(5.0), SC_(0.01562500000), SC_(8.2463372084313301694493047619778287e12) }}, {{ SC_(5.0), SC_(0.007812500000), SC_(5.2776558133259656048321206289799569e14) }}, {{ SC_(5.0), SC_(0.003906250000), SC_(3.3776997205278839283396175959111085e16) }}, {{ SC_(5.0), SC_(0.001953125000), SC_(2.1617278211378382006727785506307164e18) }}, {{ SC_(5.0), SC_(0.0009765625000), SC_(1.3835058055282163724137457865337740e20) }},
+      {{ SC_(8.0), SC_(0.1250000000), SC_(-5.4116588069756277838328695722389595e12) }}, {{ SC_(8.0), SC_(0.06250000000), SC_(-2.7707693020189462516270216110672946e15) }}, {{ SC_(8.0), SC_(0.03125000000), SC_(-1.4186338826217368769684713903764732e18) }}, {{ SC_(8.0), SC_(0.01562500000), SC_(-7.2634054790231363002428528775599797e20) }}, {{ SC_(8.0), SC_(0.007812500000), SC_(-3.7188636052598456061623085548707189e23) }}, {{ SC_(8.0), SC_(0.003906250000), SC_(-1.9040581658930409501626172937578262e26) }}, {{ SC_(8.0), SC_(0.001953125000), SC_(-9.7487778093723696648306072338399010e28) }}, {{ SC_(8.0), SC_(0.0009765625000), SC_(-4.9913742383986532683932688751727976e31) }},
+      {{ SC_(15.0), SC_(0.1250000000), SC_(3.6807761227792200230957850246407904e26) }}, {{ SC_(15.0), SC_(0.06250000000), SC_(2.4122334398245883325511911077327284e31) }}, {{ SC_(15.0), SC_(0.03125000000), SC_(1.5808813071234422095882610857505513e36) }}, {{ SC_(15.0), SC_(0.01562500000), SC_(1.0360463734364190864757622613687259e41) }}, {{ SC_(15.0), SC_(0.007812500000), SC_(6.7898335129529161251275555560392101e45) }}, {{ SC_(15.0), SC_(0.003906250000), SC_(4.4497852910488231117635948092058560e50) }}, {{ SC_(15.0), SC_(0.001953125000), SC_(2.9162112883417567145253894941611498e55) }}, {{ SC_(15.0), SC_(0.0009765625000), SC_(1.9111682299276536804313592588934511e60) }},
+      {{ SC_(22.0), SC_(0.1250000000), SC_(-6.6349292044725783891012472579673570e41) }}, {{ SC_(22.0), SC_(0.06250000000), SC_(-5.5657820204072306855435555719642654e48) }}, {{ SC_(22.0), SC_(0.03125000000), SC_(-4.6689163582644258586596154617085763e55) }}, {{ SC_(22.0), SC_(0.01562500000), SC_(-3.9165709114267828873358919539012256e62) }}, {{ SC_(22.0), SC_(0.007812500000), SC_(-3.2854578080162002342968961931631453e69) }}, {{ SC_(22.0), SC_(0.003906250000), SC_(-2.7560417651987161415024817781137906e76) }}, {{ SC_(22.0), SC_(0.001953125000), SC_(-2.3119353999880071814336850663739568e83) }}, {{ SC_(22.0), SC_(0.0009765625000), SC_(-1.9393919791822596946232062017265105e90) }},
+      {{ SC_(35.0), SC_(0.1250000000), SC_(3.3532982327901451846973629635910627e72) }}, {{ SC_(35.0), SC_(0.06250000000), SC_(2.3043689989709229438987285737704404e83) }}, {{ SC_(35.0), SC_(0.03125000000), SC_(1.5835503181594194718369731136519624e94) }}, {{ SC_(35.0), SC_(0.01562500000), SC_(1.0882074924904162473416628106826351e105) }}, {{ SC_(35.0), SC_(0.007812500000), SC_(7.4781049464136054012151819362261716e115) }}, {{ SC_(35.0), SC_(0.003906250000), SC_(5.1389145889443628300269064119650184e126) }}, {{ SC_(35.0), SC_(0.001953125000), SC_(3.5314352154325314429637711743107931e137) }}, {{ SC_(35.0), SC_(0.0009765625000), SC_(2.4267838013160699267233738410387795e148) }}
+   } };
+   do_test_polygamma<T>(small_data, name, "Mathematica Data - small arguments");
+
+   using std::ldexp;
+
+   boost::array<boost::array<value_type, 3>, 23> bug_cases = 
+   { {
+      {{ SC_(171.0), SC_(2.0), SC_(2.073093314165313149880140394410e257) }}, {{ SC_(171.0), SC_(5.0), SC_(7.42911976071332889749264626321716781e188) }},
+      {{ SC_(166.0), SC_(2.0), SC_(-4.8129498903508823293044351695484095e247) }}, {{ SC_(166.0), SC_(3.0), SC_(-1.8843912448604502196243093626013895e218) }},
+      {{ SC_(171.0), SC_(23.0), SC_(7.53143916217078889612817829861181739e74) }}, {{ SC_(168.0), SC_(150.0), SC_(-6.5266062780306068333215312257902920e-66) }},
+      {{ SC_(169.0), SC_(202.0), SC_(9.2734049986021958613510169328055599e-88) }},
+      {{ SC_(20.0), SC_(-9.5), SC_(-0.0010307637762451416598018081796345932)}}, {{ SC_(21.0), SC_(-9.5), SC_(4.2858188624279670465725116159418790e26) }}, {{ SC_(22.0), SC_(-9.5), SC_(-0.0041914420015886426448664611125724338) }}, {{ SC_(23.0), SC_(-9.5), SC_(8.6744973773084910367753904944787155e29) }}, {{ SC_(24.0), SC_(-9.5), SC_(-0.020482527998674199369359987617445420) }}, {{ SC_(25.0), SC_(-9.5), SC_(2.0818793705474855280713094147422278e33) }}, {{ SC_(26.0), SC_(-9.5), SC_(-0.11840299831136879082790399023048278) }}, {{ SC_(27.0), SC_(-9.5), SC_(5.8459172724952950454469355072783445e36) }}, {{ SC_(28.0), SC_(-9.5), SC_(-0.79896867888629450211348696225656872) }}, {{ SC_(29.0), SC_(-9.5), SC_(1.8987539301063980537054871851063348e40) }}, {{ SC_(30.0), SC_(-9.5), SC_(-6.2224465669723272001827279817965087) }},
+      {{ SC_(1.0), ldexp(value_type(1), 120), SC_(7.5231638452626400509999138382223723e-37) }}, {{ SC_(2.0), ldexp(value_type(1), 120), SC_(-5.6597994242666952296931995568048699e-73) }}, {{ SC_(3.0), ldexp(value_type(1), 120), SC_(8.5159196800163014398201074324946177e-109) }}, {{ SC_(10.0), ldexp(value_type(1), 120), SC_(-2.1075031678562075551498983356333178e-356) }}, {{ SC_(15.0), ldexp(value_type(1), 120), SC_(1.2201582392961399809842378412624410e-531) }},
+   } };
+   do_test_polygamma<T>(bug_cases, name, "Mathematica Data - Large orders and other bug cases");
+}
+
diff --git a/src/boost/libs/math/test/test_polynomial.cpp b/src/boost/libs/math/test/test_polynomial.cpp
new file mode 100644
index 00000000..503d0e2a
--- /dev/null
+++ b/src/boost/libs/math/test/test_polynomial.cpp
@@ -0,0 +1,614 @@
+//  (C) Copyright Jeremy Murphy 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/config.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/array.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/integer/common_factor_rt.hpp>
+#include <boost/mpl/list.hpp>
+#include <boost/mpl/joint_view.hpp>
+#include <boost/test/test_case_template.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <utility>
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#endif
+
+using namespace boost::math;
+using boost::integer::gcd;
+using namespace boost::math::tools;
+using namespace std;
+using boost::integer::gcd_detail::Euclid_gcd;
+using boost::math::tools::subresultant_gcd;
+
+template <typename T>
+struct answer
+{
+    answer(std::pair< polynomial<T>, polynomial<T> > const &x) :
+    quotient(x.first), remainder(x.second) {}
+
+    polynomial<T> quotient;
+    polynomial<T> remainder;
+};
+
+boost::array<double, 4> const d3a = {{10, -6, -4, 3}};
+boost::array<double, 4> const d3b = {{-7, 5, 6, 1}};
+
+boost::array<double, 2> const d1a = {{-2, 1}};
+boost::array<double, 1> const d0a = {{6}};
+boost::array<double, 2> const d0a1 = {{0, 6}};
+boost::array<double, 6> const d0a5 = {{0, 0, 0, 0, 0, 6}};
+
+
+boost::array<int, 9> const d8 = {{-5, 2, 8, -3, -3, 0, 1, 0, 1}};
+boost::array<int, 9> const d8b = {{0, 2, 8, -3, -3, 0, 1, 0, 1}};
+
+
+
+BOOST_AUTO_TEST_CASE(trivial)
+{
+   /* We have one empty test case here, so that there is always something for Boost.Test to do even if the tests below are #if'ed out */
+}
+
+
+#ifdef TEST1
+
+boost::array<double, 4> const d3c = {{10.0/3.0, -2.0, -4.0/3.0, 1.0}};
+boost::array<double, 3> const d2a = {{-2, 2, 3}};
+boost::array<double, 3> const d2b = {{-7, 5, 6}};
+boost::array<double, 3> const d2c = {{31, -21, -22}};
+boost::array<double, 1> const d0b = {{3}};
+boost::array<int, 7> const d6 = {{21, -9, -4, 0, 5, 0, 3}};
+boost::array<int, 3> const d2 = {{-6, 0, 9}};
+boost::array<int, 6> const d5 = {{-9, 0, 3, 0, -15}};
+
+
+BOOST_AUTO_TEST_CASE( test_construction )
+{
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    polynomial<double> const b(d3a.begin(), 3);
+    BOOST_CHECK_EQUAL(a, b);
+}
+
+#ifdef BOOST_MATH_HAS_IS_CONST_ITERABLE
+
+#include <list>
+#include <array>
+
+BOOST_AUTO_TEST_CASE(test_range_construction)
+{
+   std::list<double> l{ 1, 2, 3, 4 };
+   std::array<double, 4> a{ 3, 4, 5, 6 };
+   polynomial<double> p1{ 1, 2, 3, 4 };
+   polynomial<double> p2{ 3, 4, 5, 6 };
+
+   polynomial<double> p3(l);
+   polynomial<double> p4(a);
+
+   BOOST_CHECK_EQUAL(p1, p3);
+   BOOST_CHECK_EQUAL(p2, p4);
+}
+#endif
+
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40500)
+BOOST_AUTO_TEST_CASE( test_initializer_list_construction )
+{
+    polynomial<double> a(begin(d3a), end(d3a));
+    polynomial<double> b = {10, -6, -4, 3};
+    polynomial<double> c{10, -6, -4, 3};
+    polynomial<double> d{10, -6, -4, 3, 0, 0};
+    BOOST_CHECK_EQUAL(a, b);
+    BOOST_CHECK_EQUAL(b, c);
+    BOOST_CHECK_EQUAL(d.degree(), 3u);
+}
+
+BOOST_AUTO_TEST_CASE( test_initializer_list_assignment )
+{
+    polynomial<double> a(begin(d3a), end(d3a));
+    polynomial<double> b;
+    b = {10, -6, -4, 3, 0, 0};
+    BOOST_CHECK_EQUAL(b.degree(), 3u);
+    BOOST_CHECK_EQUAL(a, b);
+}
+#endif
+
+
+BOOST_AUTO_TEST_CASE( test_degree )
+{
+    polynomial<double> const zero;
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    BOOST_CHECK_THROW(zero.degree(), std::logic_error);
+    BOOST_CHECK_EQUAL(a.degree(), 3u);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_division_over_field )
+{
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    polynomial<double> const b(d1a.begin(), d1a.end());
+    polynomial<double> const q(d2a.begin(), d2a.end());
+    polynomial<double> const r(d0a.begin(), d0a.end());
+    polynomial<double> const c(d3b.begin(), d3b.end());
+    polynomial<double> const d(d2b.begin(), d2b.end());
+    polynomial<double> const e(d2c.begin(), d2c.end());
+    polynomial<double> const f(d0b.begin(), d0b.end());
+    polynomial<double> const g(d3c.begin(), d3c.end());
+    polynomial<double> const zero;
+    polynomial<double> const one(1.0);
+
+    answer<double> result = quotient_remainder(a, b);
+    BOOST_CHECK_EQUAL(result.quotient, q);
+    BOOST_CHECK_EQUAL(result.remainder, r);
+    BOOST_CHECK_EQUAL(a, q * b + r); // Sanity check.
+
+    result = quotient_remainder(a, c);
+    BOOST_CHECK_EQUAL(result.quotient, f);
+    BOOST_CHECK_EQUAL(result.remainder, e);
+    BOOST_CHECK_EQUAL(a, f * c + e); // Sanity check.
+
+    result = quotient_remainder(a, f);
+    BOOST_CHECK_EQUAL(result.quotient, g);
+    BOOST_CHECK_EQUAL(result.remainder, zero);
+    BOOST_CHECK_EQUAL(a, g * f + zero); // Sanity check.
+    // Check that division by a regular number gives the same result.
+    BOOST_CHECK_EQUAL(a / 3.0, g);
+    BOOST_CHECK_EQUAL(a % 3.0, zero);
+
+    // Sanity checks.
+    BOOST_CHECK_EQUAL(a / a, one);
+    BOOST_CHECK_EQUAL(a % a, zero);
+    // BOOST_CHECK_EQUAL(zero / zero, zero); // TODO
+}
+
+BOOST_AUTO_TEST_CASE( test_division_over_ufd )
+{
+    polynomial<int> const zero;
+    polynomial<int> const one(1);
+    polynomial<int> const aa(d8.begin(), d8.end());
+    polynomial<int> const bb(d6.begin(), d6.end());
+    polynomial<int> const q(d2.begin(), d2.end());
+    polynomial<int> const r(d5.begin(), d5.end());
+
+    answer<int> result = quotient_remainder(aa, bb);
+    BOOST_CHECK_EQUAL(result.quotient, q);
+    BOOST_CHECK_EQUAL(result.remainder, r);
+
+    // Sanity checks.
+    BOOST_CHECK_EQUAL(aa / aa, one);
+    BOOST_CHECK_EQUAL(aa % aa, zero);
+}
+
+#endif
+
+template <typename T>
+struct FM2GP_Ex_8_3__1
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_Ex_8_3__1()
+    {
+        boost::array<T, 5> const x_data = {{105, 278, -88, -56, 16}};
+        boost::array<T, 5> const y_data = {{70, 232, -44, -64, 16}};
+        boost::array<T, 3> const z_data = {{35, -24, 4}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+template <typename T>
+struct FM2GP_Ex_8_3__2
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_Ex_8_3__2()
+    {
+        boost::array<T, 5> const x_data = {{1, -6, -8, 6, 7}};
+        boost::array<T, 5> const y_data = {{1, -5, -2, 15, 11}};
+        boost::array<T, 3> const z_data = {{1, 2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+
+template <typename T>
+struct FM2GP_mixed
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_mixed()
+    {
+        boost::array<T, 4> const x_data = {{-2.2, -3.3, 0, 1}};
+        boost::array<T, 3> const y_data = {{-4.4, 0, 1}};
+        boost::array<T, 2> const z_data= {{-2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+
+template <typename T>
+struct FM2GP_trivial
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_trivial()
+    {
+        boost::array<T, 4> const x_data = {{-2, -3, 0, 1}};
+        boost::array<T, 3> const y_data = {{-4, 0, 1}};
+        boost::array<T, 2> const z_data= {{-2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+// Sanity checks to make sure I didn't break it.
+#ifdef TEST1
+typedef boost::mpl::list<char, short, int, long> integral_test_types;
+typedef boost::mpl::list<int, long> large_integral_test_types;
+typedef boost::mpl::list<> mp_integral_test_types;
+#elif defined(TEST2)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_int
+#endif
+> integral_test_types;
+typedef integral_test_types large_integral_test_types;
+typedef large_integral_test_types mp_integral_test_types;
+#elif defined(TEST3)
+typedef boost::mpl::list<> large_integral_test_types;
+typedef boost::mpl::list<> integral_test_types;
+typedef large_integral_test_types mp_integral_test_types;
+#endif
+
+#ifdef TEST1
+typedef boost::mpl::list<double, long double> non_integral_test_types;
+#elif defined(TEST2)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_rational
+#endif
+> non_integral_test_types;
+#elif defined(TEST3)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_bin_float_single, boost::multiprecision::cpp_dec_float_50
+#endif
+> non_integral_test_types;
+#endif
+
+typedef boost::mpl::joint_view<integral_test_types, non_integral_test_types> all_test_types;
+
+
+template <typename T>
+void normalize(polynomial<T> &p)
+{
+    if (leading_coefficient(p) < T(0))
+        std::transform(p.data().begin(), p.data().end(), p.data().begin(), std::negate<T>());
+}
+
+/**
+ * Note that we do not expect 'pure' gcd algorithms to normalize the result.
+ * However, the usual public interface function gcd() will do that.
+ */
+
+BOOST_AUTO_TEST_SUITE(test_subresultant_gcd)
+
+// This test is just to show that gcd<polynomial<T>>(u, v) is defined (and works) when T is integral and multiprecision.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( gcd_interface, T, mp_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+// This test is just to show that gcd<polynomial<T>>(u, v) is defined (and works) when T is floating point.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( gcd_float_interface, T, non_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+// The following tests call subresultant_gcd explicitly to remove any ambiguity
+// and to permit testing on single-precision integral types.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( Ex_8_3__1, T, large_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( Ex_8_3__2, T, large_integral_test_types, FM2GP_Ex_8_3__2<T> )
+{
+    typedef FM2GP_Ex_8_3__2<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( trivial_int, T, large_integral_test_types, FM2GP_trivial<T> )
+{
+    typedef FM2GP_trivial<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_addition, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+    polynomial<T> const zero;
+
+    polynomial<T> result = a + b; // different degree
+    boost::array<T, 4> tmp = {{8, -5, -4, 3}};
+    polynomial<T> expected(tmp.begin(), tmp.end());
+    BOOST_CHECK_EQUAL(result, expected);
+    BOOST_CHECK_EQUAL(a + zero, a);
+    BOOST_CHECK_EQUAL(a + b, b + a);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_subtraction, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const zero;
+
+    BOOST_CHECK_EQUAL(a - T(0), a);
+    BOOST_CHECK_EQUAL(T(0) - a, -a);
+    BOOST_CHECK_EQUAL(a - zero, a);
+    BOOST_CHECK_EQUAL(zero - a, -a);
+    BOOST_CHECK_EQUAL(a - a, zero);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_multiplication, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+    polynomial<T> const zero;
+    boost::array<T, 7> const d3a_sq = {{100, -120, -44, 108, -20, -24, 9}};
+    polynomial<T> const a_sq(d3a_sq.begin(), d3a_sq.end());
+
+    BOOST_CHECK_EQUAL(a * T(0), zero);
+    BOOST_CHECK_EQUAL(a * zero, zero);
+    BOOST_CHECK_EQUAL(zero * T(0), zero);
+    BOOST_CHECK_EQUAL(zero * zero, zero);
+    BOOST_CHECK_EQUAL(a * b, b * a);
+    polynomial<T> aa(a);
+    aa *= aa;
+    BOOST_CHECK_EQUAL(aa, a_sq);
+    BOOST_CHECK_EQUAL(aa, a * a);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_arithmetic_relations, T, all_test_types )
+{
+    polynomial<T> const a(d8b.begin(), d8b.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+
+    BOOST_CHECK_EQUAL(a * T(2), a + a);
+    BOOST_CHECK_EQUAL(a - b, -b + a);
+    BOOST_CHECK_EQUAL(a, (a * a) / a);
+    BOOST_CHECK_EQUAL(a, (a / a) * a);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_non_integral_arithmetic_relations, T, non_integral_test_types )
+{
+    polynomial<T> const a(d8b.begin(), d8b.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+
+    BOOST_CHECK_EQUAL(a * T(0.5), a / T(2));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_cont_and_pp, T, integral_test_types)
+{
+    boost::array<polynomial<T>, 4> const q={{
+        polynomial<T>(d8.begin(), d8.end()),
+        polynomial<T>(d8b.begin(), d8b.end()),
+        polynomial<T>(d3a.begin(), d3a.end()),
+        polynomial<T>(d3b.begin(), d3b.end())
+    }};
+    for (std::size_t i = 0; i < q.size(); i++)
+    {
+        BOOST_CHECK_EQUAL(q[i], content(q[i]) * primitive_part(q[i]));
+        BOOST_CHECK_EQUAL(primitive_part(q[i]), primitive_part(q[i], content(q[i])));
+    }
+
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(primitive_part(zero), zero);
+    BOOST_CHECK_EQUAL(content(zero), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_self_multiply_assign, T, all_test_types )
+{
+    polynomial<T> a(d3a.begin(), d3a.end());
+    polynomial<T> const b(a);
+    boost::array<double, 7> const d3a_sq = {{100, -120, -44, 108, -20, -24, 9}};
+    polynomial<T> const asq(d3a_sq.begin(), d3a_sq.end());
+
+    a *= a;
+
+    BOOST_CHECK_EQUAL(a, b*b);
+    BOOST_CHECK_EQUAL(a, asq);
+
+    a *= a;
+
+    BOOST_CHECK_EQUAL(a, b*b*b*b);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_right_shift, T, all_test_types )
+{
+    polynomial<T> a(d8b.begin(), d8b.end());
+    polynomial<T> const aa(a);
+    polynomial<T> const b(d8b.begin() + 1, d8b.end());
+    polynomial<T> const c(d8b.begin() + 5, d8b.end());
+    a >>= 0u;
+    BOOST_CHECK_EQUAL(a, aa);
+    a >>= 1u;
+    BOOST_CHECK_EQUAL(a, b);
+    a = a >> 4u;
+    BOOST_CHECK_EQUAL(a, c);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_left_shift, T, all_test_types )
+{
+    polynomial<T> a(d0a.begin(), d0a.end());
+    polynomial<T> const aa(a);
+    polynomial<T> const b(d0a1.begin(), d0a1.end());
+    polynomial<T> const c(d0a5.begin(), d0a5.end());
+    a <<= 0u;
+    BOOST_CHECK_EQUAL(a, aa);
+    a <<= 1u;
+    BOOST_CHECK_EQUAL(a, b);
+    a = a << 4u;
+    BOOST_CHECK_EQUAL(a, c);
+    polynomial<T> zero;
+    // Multiplying zero by x should still be zero.
+    zero <<= 1u;
+    BOOST_CHECK_EQUAL(zero, zero_element(multiplies< polynomial<T> >()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_odd_even, T, all_test_types)
+{
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(odd(zero), false);
+    BOOST_CHECK_EQUAL(even(zero), true);
+    polynomial<T> const a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(odd(a), true);
+    BOOST_CHECK_EQUAL(even(a), false);
+    polynomial<T> const b(d0a1.begin(), d0a1.end());
+    BOOST_CHECK_EQUAL(odd(b), false);
+    BOOST_CHECK_EQUAL(even(b), true);
+}
+
+// NOTE: Slightly unexpected: this unit test passes even when T = char.
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_pow, T, all_test_types )
+{
+   if (std::numeric_limits<T>::digits < 32)
+      return;   // Invokes undefined behaviour
+    polynomial<T> a(d3a.begin(), d3a.end());
+    polynomial<T> const one(T(1));
+    boost::array<double, 7> const d3a_sqr = {{100, -120, -44, 108, -20, -24, 9}};
+    boost::array<double, 10> const d3a_cub =
+        {{1000, -1800, -120, 2124, -1032, -684, 638, -18, -108, 27}};
+    polynomial<T> const asqr(d3a_sqr.begin(), d3a_sqr.end());
+    polynomial<T> const acub(d3a_cub.begin(), d3a_cub.end());
+
+    BOOST_CHECK_EQUAL(pow(a, 0), one);
+    BOOST_CHECK_EQUAL(pow(a, 1), a);
+    BOOST_CHECK_EQUAL(pow(a, 2), asqr);
+    BOOST_CHECK_EQUAL(pow(a, 3), acub);
+    BOOST_CHECK_EQUAL(pow(a, 4), pow(asqr, 2));
+    BOOST_CHECK_EQUAL(pow(a, 5), asqr * acub);
+    BOOST_CHECK_EQUAL(pow(a, 6), pow(acub, 2));
+    BOOST_CHECK_EQUAL(pow(a, 7), acub * acub * a);
+
+    BOOST_CHECK_THROW(pow(a, -1), std::domain_error);
+    BOOST_CHECK_EQUAL(pow(one, 137), one);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_bool, T, all_test_types)
+{
+    polynomial<T> const zero;
+    polynomial<T> const a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(bool(zero), false);
+    BOOST_CHECK_EQUAL(bool(a), true);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_set_zero, T, all_test_types)
+{
+    polynomial<T> const zero;
+    polynomial<T> a(d0a.begin(), d0a.end());
+    a.set_zero();
+    BOOST_CHECK_EQUAL(a, zero);
+    a.set_zero(); // Ensure that setting zero to zero is a no-op.
+    BOOST_CHECK_EQUAL(a, zero);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_leading_coefficient, T, all_test_types)
+{
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(leading_coefficient(zero), T(0));
+    polynomial<T> a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(leading_coefficient(a), T(d0a.back()));
+}
+
+#if !defined(BOOST_NO_CXX11_RVALUE_REFERENCES) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX)
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_prime, T, all_test_types)
+{
+    std::vector<T> d{1,1,1,1,1};
+    polynomial<T> p(std::move(d));
+    polynomial<T> q = p.prime();
+    BOOST_CHECK_EQUAL(q(0), T(1));
+
+    for (size_t i = 0; i < q.size(); ++i)
+    {
+        BOOST_CHECK_EQUAL(q[i], i+1);
+    }
+
+    polynomial<T> P = p.integrate();
+    BOOST_CHECK_EQUAL(P(0), T(0));
+    for (size_t i = 1; i < P.size(); ++i)
+    {
+        BOOST_CHECK_EQUAL(P[i], 1/static_cast<T>(i));
+    }
+
+    polynomial<T> empty;
+    q = empty.prime();
+    BOOST_CHECK_EQUAL(q.size(), 0);
+
+}
+#endif
diff --git a/src/boost/libs/math/test/test_print_info_on_type.cpp b/src/boost/libs/math/test/test_print_info_on_type.cpp
new file mode 100644
index 00000000..88020977
--- /dev/null
+++ b/src/boost/libs/math/test/test_print_info_on_type.cpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/constants/info.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+int main()
+{
+   boost::math::constants::print_info_on_type<float>();
+   boost::math::constants::print_info_on_type<double>();
+   boost::math::constants::print_info_on_type<long double>();
+   boost::math::constants::print_info_on_type<boost::math::concepts::real_concept>();
+
+   return 0;
+}
+
+/*
+
+------ Rebuild All started: Project: test_print_info_on_type, Configuration: Debug Win32 ------
+  test_print_info_on_type.cpp
+  test_print_info_on_type.vcxproj -> J:\Cpp\math_constants\Debug\test_print_info_on_type.exe
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type float
+  
+  Checking for std::numeric_limits<float> specialisation: yes
+  std::numeric_limits<float>::digits reports that the precision is 
+  24 binary digits.
+  boost::math::policies::precision<float, Policy> reports that the compile time precision is 
+  24 binary digits.
+  The constant will be constructed from a float.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type double
+  
+  Checking for std::numeric_limits<double> specialisation: yes
+  std::numeric_limits<double>::digits reports that the precision is 
+  53 binary digits.
+  boost::math::policies::precision<double, Policy> reports that the compile time precision is 
+  53 binary digits.
+  The constant will be constructed from a double.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type long double
+  
+  Checking for std::numeric_limits<long double> specialisation: yes
+  std::numeric_limits<long double>::digits reports that the precision is 
+  53 binary digits.
+  boost::math::policies::precision<long double, Policy> reports that the compile time precision is 
+  53 binary digits.
+  The constant will be constructed from a double.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type class boost::math::concepts::real_concept
+  
+  Checking for std::numeric_limits<class boost::math::concepts::real_concept> specialisation: no
+  boost::math::policies::precision<class boost::math::concepts::real_concept, Policy> 
+  reports that there is no compile type precision available.
+  boost::math::tools::digits<class boost::math::concepts::real_concept>() 
+  reports that the current runtime precision is 
+  53 binary digits.
+  No compile time precision is available, the construction method 
+  will be decided at runtime and results will not be cached 
+  - this may lead to poor runtime performance.
+  Current runtime precision indicates that
+  the constant will be constructed from a string on each call.
+  
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational.hpp b/src/boost/libs/math/test/test_rational_instances/test_rational.hpp
new file mode 100644
index 00000000..e5e5ff1b
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational.hpp
@@ -0,0 +1,5480 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#ifndef BOOST_MATH_TEST_RATIONAL_HPP
+#define BOOST_MATH_TEST_RATIONAL_HPP
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/array.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <boost/math/tools/precision.hpp>
+
+template <class T, class U>
+void do_test_spots1(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Everything past this point is generated by the program
+   // ../tools/generate_rational_test.cpp
+   //
+
+   //
+   // Polynomials of order 0
+   //
+   static const U n1c[1] = { 2 };
+   static const boost::array<U, 1> n1a = {{ 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(6.5), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(10247.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(6.5)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(10247.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(6.5)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(10247.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(6.5f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(10247.25f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   //
+   // Rational functions of order 0
+   //
+   static const U d1c[1] = { 3 };
+   static const boost::array<U, 1> d1a = {{ 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(6.5f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(10247.25f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.125)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.25)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.75)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.125)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.25)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.75)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   //
+   // Polynomials of order 1
+   //
+   static const U n2c[2] = { 3, 1 };
+   static const boost::array<U, 2> n2a = {{ 3, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(6.5), 2),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(10247.25), 2),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(6.5)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(6.5)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   //
+   // Rational functions of order 1
+   //
+   static const U d2c[2] = { 5, 9 };
+   static const boost::array<U, 2> d2a = {{ 5, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.125)),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.25)),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.75)),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.125)),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.25)),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.75)),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots2(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 2
+   //
+   static const U n3c[3] = { 10, 6, 11 };
+   static const boost::array<U, 3> n3a = {{ 10, 6, 11 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(6.5), 3),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(10247.25), 3),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(6.5)),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(10247.25)),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(6.5)),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(10247.25)),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   //
+   // Rational functions of order 2
+   //
+   static const U d3c[3] = { 3, 4, 10 };
+   static const boost::array<U, 3> d3a = {{ 3, 4, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.125)),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.25)),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.75)),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.125)),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.25)),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.75)),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots3(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 3
+   //
+   static const U n4c[4] = { 1, 4, 9, 11 };
+   static const boost::array<U, 4> n4a = {{ 1, 4, 9, 11 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(6.5), 4),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(10247.25), 4),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(6.5)),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(10247.25)),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(6.5)),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(10247.25)),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   //
+   // Rational functions of order 3
+   //
+   static const U d4c[4] = { 10, 2, 5, 4 };
+   static const boost::array<U, 4> d4a = {{ 10, 2, 5, 4 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.25)),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.75)),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.25)),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.75)),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots4(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 4
+   //
+   static const U n5c[5] = { 10, 10, 4, 11, 9 };
+   static const boost::array<U, 5> n5a = {{ 10, 10, 4, 11, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(6.5), 5),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(10247.25), 5),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(6.5)),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(10247.25)),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(6.5)),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(10247.25)),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   //
+   // Rational functions of order 4
+   //
+   static const U d5c[5] = { 6, 9, 6, 2, 5 };
+   static const boost::array<U, 5> d5a = {{ 6, 9, 6, 2, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.125)),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.75)),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.125)),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.75)),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots5(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 5
+   //
+   static const U n6c[6] = { 6, 8, 12, 5, 7, 5 };
+   static const boost::array<U, 6> n6a = {{ 6, 8, 12, 5, 7, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(6.5), 6),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(10247.25), 6),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(6.5)),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(10247.25)),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(6.5)),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(10247.25)),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(10247.25f), 6),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   //
+   // Rational functions of order 5
+   //
+   static const U d6c[6] = { 5, 11, 7, 12, 10, 5 };
+   static const boost::array<U, 6> d6a = {{ 5, 11, 7, 12, 10, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(10247.25f), 6),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.125)),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.25)),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.75)),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.125)),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.25)),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.75)),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots6(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 6
+   //
+   static const U n7c[7] = { 3, 4, 11, 5, 10, 7, 9 };
+   static const boost::array<U, 7> n7a = {{ 3, 4, 11, 5, 10, 7, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(6.5), 7),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(10247.25), 7),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(6.5)),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(10247.25)),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(6.5)),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(10247.25)),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   //
+   // Rational functions of order 6
+   //
+   static const U d7c[7] = { 2, 8, 10, 8, 1, 11, 1 };
+   static const boost::array<U, 7> d7a = {{ 2, 8, 10, 8, 1, 11, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(10247.25f), 7),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.125)),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.25)),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.75)),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.125)),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.25)),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.75)),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots7(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 7
+   //
+   static const U n8c[8] = { 9, 5, 6, 1, 12, 2, 11, 1 };
+   static const boost::array<U, 8> n8a = {{ 9, 5, 6, 1, 12, 2, 11, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(6.5), 8),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(10247.25), 8),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(6.5)),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(6.5)),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   //
+   // Rational functions of order 7
+   //
+   static const U d8c[8] = { 7, 10, 10, 11, 2, 4, 1, 7 };
+   static const boost::array<U, 8> d8a = {{ 7, 10, 10, 11, 2, 4, 1, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(10247.25f), 8),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.125)),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.25)),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.75)),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.125)),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.25)),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.75)),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots8(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 8
+   //
+   static const U n9c[9] = { 3, 9, 3, 9, 5, 6, 10, 7, 10 };
+   static const boost::array<U, 9> n9a = {{ 3, 9, 3, 9, 5, 6, 10, 7, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(6.5), 9),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(10247.25), 9),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(6.5)),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(6.5)),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   //
+   // Rational functions of order 8
+   //
+   static const U d9c[9] = { 12, 3, 10, 4, 6, 6, 6, 10, 7 };
+   static const boost::array<U, 9> d9a = {{ 12, 3, 10, 4, 6, 6, 6, 10, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(10247.25f), 9),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.125)),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.25)),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.75)),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.125)),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.25)),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.75)),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots9(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 9
+   //
+   static const U n10c[10] = { 3, 4, 2, 6, 8, 1, 2, 4, 8, 8 };
+   static const boost::array<U, 10> n10a = {{ 3, 4, 2, 6, 8, 1, 2, 4, 8, 8 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(6.5), 10),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(10247.25), 10),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(6.5)),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(10247.25)),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(6.5)),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(10247.25)),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   //
+   // Rational functions of order 9
+   //
+   static const U d10c[10] = { 3, 11, 1, 12, 8, 8, 7, 10, 8, 8 };
+   static const boost::array<U, 10> d10a = {{ 3, 11, 1, 12, 8, 8, 7, 10, 8, 8 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(10247.25f), 10),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.125)),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.25)),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.75)),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.125)),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.25)),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.75)),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots10(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 10
+   //
+   static const U n11c[11] = { 2, 2, 8, 11, 3, 4, 10, 11, 5, 1, 6 };
+   static const boost::array<U, 11> n11a = {{ 2, 2, 8, 11, 3, 4, 10, 11, 5, 1, 6 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(6.5), 11),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(6.5)),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(6.5)),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   //
+   // Rational functions of order 10
+   //
+   static const U d11c[11] = { 4, 1, 3, 9, 11, 8, 11, 2, 6, 6, 4 };
+   static const boost::array<U, 11> d11a = {{ 4, 1, 3, 9, 11, 8, 11, 2, 6, 6, 4 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(10247.25f), 11),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.125)),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.25)),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.75)),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.125)),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.25)),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.75)),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots11(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 11
+   //
+   static const U n12c[12] = { 10, 12, 4, 1, 12, 7, 11, 5, 12, 5, 10, 6 };
+   static const boost::array<U, 12> n12a = {{ 10, 12, 4, 1, 12, 7, 11, 5, 12, 5, 10, 6 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(6.5), 12),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(6.5)),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(6.5)),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   //
+   // Rational functions of order 11
+   //
+   static const U d12c[12] = { 12, 5, 2, 8, 3, 2, 6, 9, 2, 8, 9, 12 };
+   static const boost::array<U, 12> d12a = {{ 12, 5, 2, 8, 3, 2, 6, 9, 2, 8, 9, 12 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(10247.25f), 12),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.125)),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.25)),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.75)),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.125)),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.25)),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.75)),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots12(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 12
+   //
+   static const U n13c[13] = { 4, 11, 7, 1, 1, 1, 8, 11, 10, 12, 8, 2, 1 };
+   static const boost::array<U, 13> n13a = {{ 4, 11, 7, 1, 1, 1, 8, 11, 10, 12, 8, 2, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(6.5), 13),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(6.5)),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(6.5)),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   //
+   // Rational functions of order 12
+   //
+   static const U d13c[13] = { 4, 7, 1, 6, 11, 4, 9, 11, 1, 10, 1, 11, 12 };
+   static const boost::array<U, 13> d13a = {{ 4, 7, 1, 6, 11, 4, 9, 11, 1, 10, 1, 11, 12 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(10247.25f), 13),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.125)),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.25)),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.75)),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.125)),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.25)),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.75)),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+}
+template <class T, class U>
+void do_test_spots13(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 13
+   //
+   static const U n14c[14] = { 5, 5, 3, 5, 12, 8, 10, 5, 5, 9, 2, 10, 3, 3 };
+   static const boost::array<U, 14> n14a = {{ 5, 5, 3, 5, 12, 8, 10, 5, 5, 9, 2, 10, 3, 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(6.5), 14),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(6.5)),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(6.5)),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   //
+   // Rational functions of order 13
+   //
+   static const U d14c[14] = { 1, 2, 1, 8, 5, 8, 2, 11, 3, 6, 5, 9, 7, 10 };
+   static const boost::array<U, 14> d14a = {{ 1, 2, 1, 8, 5, 8, 2, 11, 3, 6, 5, 9, 7, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(10247.25f), 14),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.125)),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.25)),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.125)),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.25)),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots14(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 14
+   //
+   static const U n15c[15] = { 6, 2, 10, 2, 4, 11, 4, 6, 5, 5, 10, 12, 8, 6, 2 };
+   static const boost::array<U, 15> n15a = {{ 6, 2, 10, 2, 4, 11, 4, 6, 5, 5, 10, 12, 8, 6, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(6.5), 15),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(6.5)),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(6.5)),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   //
+   // Rational functions of order 14
+   //
+   static const U d15c[15] = { 7, 10, 7, 1, 10, 11, 11, 10, 7, 1, 10, 9, 8, 2, 3 };
+   static const boost::array<U, 15> d15a = {{ 7, 10, 7, 1, 10, 11, 11, 10, 7, 1, 10, 9, 8, 2, 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(10247.25f), 15),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.125)),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.25)),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.75)),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.125)),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.25)),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.75)),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots15(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 15
+   //
+   static const U n16c[16] = { 5, 3, 4, 6, 7, 9, 7, 6, 12, 12, 7, 12, 10, 3, 6, 2 };
+   static const boost::array<U, 16> n16a = {{ 5, 3, 4, 6, 7, 9, 7, 6, 12, 12, 7, 12, 10, 3, 6, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(6.5), 16),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(6.5)),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(6.5)),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   //
+   // Rational functions of order 15
+   //
+   static const U d16c[16] = { 9, 5, 2, 4, 4, 12, 11, 5, 1, 4, 1, 7, 9, 6, 6, 10 };
+   static const boost::array<U, 16> d16a = {{ 9, 5, 2, 4, 4, 12, 11, 5, 1, 4, 1, 7, 9, 6, 6, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(10247.25f), 16),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.75)),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.75)),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots16(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 16
+   //
+   static const U n17c[17] = { 9, 6, 11, 2, 9, 10, 6, 3, 3, 3, 4, 9, 10, 2, 3, 2, 2 };
+   static const boost::array<U, 17> n17a = {{ 9, 6, 11, 2, 9, 10, 6, 3, 3, 3, 4, 9, 10, 2, 3, 2, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(6.5), 17),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(6.5)),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(6.5)),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   //
+   // Rational functions of order 16
+   //
+   static const U d17c[17] = { 7, 12, 3, 11, 10, 2, 5, 10, 4, 11, 10, 6, 2, 12, 1, 2, 1 };
+   static const boost::array<U, 17> d17a = {{ 7, 12, 3, 11, 10, 2, 5, 10, 4, 11, 10, 6, 2, 12, 1, 2, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(10247.25f), 17),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.125)),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.25)),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.75)),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.125)),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.25)),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.75)),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots17(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 17
+   //
+   static const U n18c[18] = { 6, 5, 7, 8, 12, 9, 4, 1, 3, 5, 1, 5, 12, 8, 4, 6, 1, 10 };
+   static const boost::array<U, 18> n18a = {{ 6, 5, 7, 8, 12, 9, 4, 1, 3, 5, 1, 5, 12, 8, 4, 6, 1, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(6.5), 18),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(6.5)),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(6.5)),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   //
+   // Rational functions of order 17
+   //
+   static const U d18c[18] = { 6, 2, 11, 2, 12, 4, 1, 5, 7, 12, 5, 7, 5, 7, 5, 7, 2, 9 };
+   static const boost::array<U, 18> d18a = {{ 6, 2, 11, 2, 12, 4, 1, 5, 7, 12, 5, 7, 5, 7, 5, 7, 2, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(10247.25f), 18),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.125)),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.25)),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.125)),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.25)),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots18(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a persentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 18
+   //
+   static const U n19c[19] = { 7, 2, 4, 2, 4, 3, 9, 1, 9, 3, 7, 2, 10, 4, 2, 5, 11, 3, 9 };
+   static const boost::array<U, 19> n19a = {{ 7, 2, 4, 2, 4, 3, 9, 1, 9, 3, 7, 2, 10, 4, 2, 5, 11, 3, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(6.5), 19),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(6.5)),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(6.5)),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   //
+   // Rational functions of order 18
+   //
+   static const U d19c[19] = { 3, 2, 3, 3, 10, 6, 2, 6, 9, 8, 8, 10, 5, 7, 6, 4, 6, 9, 7 };
+   static const boost::array<U, 19> d19a = {{ 3, 2, 3, 3, 10, 6, 2, 6, 9, 8, 8, 10, 5, 7, 6, 4, 6, 9, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(10247.25f), 19),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.125)),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.25)),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.75)),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.125)),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.25)),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.75)),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots(T t, U u)
+{
+   do_test_spots1(t, u);
+   do_test_spots2(t, u);
+   do_test_spots3(t, u);
+   do_test_spots4(t, u);
+   do_test_spots5(t, u);
+   do_test_spots6(t, u);
+   do_test_spots7(t, u);
+   do_test_spots8(t, u);
+   do_test_spots9(t, u);
+   do_test_spots10(t, u);
+   do_test_spots11(t, u);
+   do_test_spots12(t, u);
+   do_test_spots13(t, u);
+   do_test_spots14(t, u);
+   do_test_spots15(t, u);
+   do_test_spots16(t, u);
+   do_test_spots17(t, u);
+   do_test_spots18(t, u);
+}
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp
new file mode 100644
index 00000000..4cc42ec0
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, double>(double, double);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp
new file mode 100644
index 00000000..254bbcd9
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, int>(double, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp
new file mode 100644
index 00000000..d371b988
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, unsigned>(double, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp
new file mode 100644
index 00000000..7e7faa8a
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<double, boost::ulong_long_type>(double, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp
new file mode 100644
index 00000000..f5ed5c86
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp
@@ -0,0 +1,9 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, float>(double, float);
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp
new file mode 100644
index 00000000..227c4826
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, float>(float, float);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp
new file mode 100644
index 00000000..81b843d8
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, int>(float, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp
new file mode 100644
index 00000000..aa7a1ae7
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, unsigned>(float, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp
new file mode 100644
index 00000000..4e55876d
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp
@@ -0,0 +1,11 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<float, boost::ulong_long_type>(float, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp
new file mode 100644
index 00000000..5b69bbaf
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, long double>(long double, long double);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp
new file mode 100644
index 00000000..593c33f3
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, int>(long double, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp
new file mode 100644
index 00000000..82281c38
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, unsigned>(long double, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp
new file mode 100644
index 00000000..63b5a1b8
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp
@@ -0,0 +1,11 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<long double, boost::ulong_long_type>(long double, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp
new file mode 100644
index 00000000..cccd0692
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp
@@ -0,0 +1,9 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, float>(long double, float);
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp
new file mode 100644
index 00000000..144cc33d
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, boost::math::concepts::real_concept>(boost::math::concepts::real_concept, boost::math::concepts::real_concept);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp
new file mode 100644
index 00000000..2c04fc62
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, int>(boost::math::concepts::real_concept, int);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp
new file mode 100644
index 00000000..e238dcc3
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, unsigned>(boost::math::concepts::real_concept, unsigned);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp
new file mode 100644
index 00000000..2dd58713
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp
@@ -0,0 +1,16 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<boost::math::concepts::real_concept, boost::ulong_long_type>(boost::math::concepts::real_concept, boost::ulong_long_type);
+#endif
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp
new file mode 100644
index 00000000..1bd217c3
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, float>(boost::math::concepts::real_concept, float);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rationals.cpp b/src/boost/libs/math/test/test_rationals.cpp
new file mode 100644
index 00000000..bdb77f7f
--- /dev/null
+++ b/src/boost/libs/math/test/test_rationals.cpp
@@ -0,0 +1,48 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/array.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <iostream>
+
+template <class T, class U>
+void do_test_spots(T, U);
+
+template <class T>
+void test_spots(T t, const char* n)
+{
+   std::cout << "Testing basic sanity checks for type " << n << std::endl;
+   do_test_spots(t, int(0));
+   do_test_spots(t, unsigned(0));
+#ifdef BOOST_HAS_LONG_LONG
+   do_test_spots(t, (boost::ulong_long_type)(0));
+#endif
+   do_test_spots(t, float(0));
+   do_test_spots(t, T(0));
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_rayleigh.cpp b/src/boost/libs/math/test/test_rayleigh.cpp
new file mode 100644
index 00000000..242ec32f
--- /dev/null
+++ b/src/boost/libs/math/test/test_rayleigh.cpp
@@ -0,0 +1,332 @@
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_rayleigh.cpp
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/rayleigh.hpp>
+    using boost::math::rayleigh_distribution;
+#include <boost/math/tools/test.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType s, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         rayleigh_distribution<RealType>(s),
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(rayleigh_distribution<RealType>(s),
+         x)),
+         q,
+         tolerance); // %
+   // Special extra tests for p and q near to unity.
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            rayleigh_distribution<RealType>(s),
+            p),
+            x,
+            tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(rayleigh_distribution<RealType>(s),
+            q)),
+            x,
+            tolerance); // %
+   }
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(rayleigh_distribution<RealType>(s), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(rayleigh_distribution<RealType>(s), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(rayleigh_distribution<RealType>(s), inf)), 0);
+   }
+} // void test_spot
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   using namespace std; // ADL of std names.
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data: obtained by punching
+   // numbers into a calculator).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 10 * 100; // 10 eps as a percent
+   cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+  using namespace boost::math::constants;
+
+   // Things that are errors:
+   rayleigh_distribution<RealType> dist(0.5);
+
+   check_out_of_range<rayleigh_distribution<RealType> >(1);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist,
+       RealType(1.)), // quantile unity should overflow.
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist,
+       RealType(0.))), // quantile complement zero should overflow.
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       pdf(dist, RealType(-1)), // Bad negative x.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(dist, RealType(-1)), // Bad negative x.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(rayleigh_distribution<RealType>(-1), // bad sigma < 0
+       RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(rayleigh_distribution<RealType>(0), // bad sigma == 0
+       RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)), // negative quantile probability.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)), // > unity  quantile probability.
+       std::domain_error);
+
+   test_spot(
+      static_cast<RealType>(1.L), // sigma
+      static_cast<RealType>(1.L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), // q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(0.5L), // sigma
+      static_cast<RealType>(0.5L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(3.L), // sigma
+      static_cast<RealType>(3.L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), //q
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(1.L),
+         static_cast<RealType>(1.L)),              // x
+         static_cast<RealType>(exp_minus_half<RealType>()), // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(0.5L),
+         static_cast<RealType>(0.5L)),              // x
+         static_cast<RealType>(2 * exp_minus_half<RealType>()), // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(2.L),
+         static_cast<RealType>(2.L)),              // x
+         static_cast<RealType>(exp_minus_half<RealType>() /2),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(root_half_pi<RealType>()),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::variance(
+         rayleigh_distribution<RealType>(root_two<RealType>())),
+         static_cast<RealType>(four_minus_pi<RealType>()),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(1.L),
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(sqrt(log(4.L))),  // sigma * sqrt(log_four)
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(2.L * root_pi<RealType>()) * (pi<RealType>() - 3) / (pow((4 - pi<RealType>()), static_cast<RealType>(1.5L))),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(0.63111065781893713819189935154422777984404221106391L),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+     ::boost::math::kurtosis_excess(
+     rayleigh_distribution<RealType>(1.L)),
+     -static_cast<RealType>(6 * pi<RealType>() * pi<RealType>() - 24 * pi<RealType>() + 16) /
+        ((4 - pi<RealType>()) * (4 - pi<RealType>())),
+        // static_cast<RealType>(0.2450893006876380628486604106197544154170667057995L),
+         tolerance * 1000); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(3.2450893006876380628486604106197544154170667057995L),
+         tolerance * 100); // %
+
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(rayleigh_distribution<RealType>(2)),
+      ::boost::math::kurtosis(rayleigh_distribution<RealType>(2)) -3,
+         tolerance* 100); // %
+   return;
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate rayleigh distribution using the two convenience methods:
+   boost::math::rayleigh ray1(1.); // Using typedef
+   rayleigh_distribution<> ray2(1.); // Using default RealType double.
+
+  using namespace boost::math::constants;
+   // Basic sanity-check spot values.
+
+  // Double only tests.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(1.),
+      static_cast<double>(1)), // x
+      static_cast<double>(exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(0.5),
+      static_cast<double>(0.5)), // x
+      static_cast<double>(2 * exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(2.),
+      static_cast<double>(2)), // x
+      static_cast<double>(exp_minus_half<double>() /2 ), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(1.),
+      static_cast<double>(1)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(2.),
+      static_cast<double>(2)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(3.),
+      static_cast<double>(3)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(4)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(complement(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(4))), // x
+      static_cast<double>(exp_minus_half<double>()), // q = 1 - p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(1- exp_minus_half<double>())), // x
+      static_cast<double>(4), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(complement(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(exp_minus_half<double>()))), // x
+      static_cast<double>(4), // p
+         1e-15); // %
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_rayleigh.exe"
+Running 1 test case...
+Tolerance for type float is 0.000119209 %
+Tolerance for type double is 2.22045e-013 %
+Tolerance for type long double is 2.22045e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 2.22045e-013 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_real_concept.cpp b/src/boost/libs/math/test/test_real_concept.cpp
new file mode 100644
index 00000000..187e36fb
--- /dev/null
+++ b/src/boost/libs/math/test/test_real_concept.cpp
@@ -0,0 +1,578 @@
+// Copyright John Maddock 2010
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/constants/constants.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <iostream>
+#include <iomanip>
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+   typedef boost::math::concepts::real_concept rc_t;
+
+   rc_t r1(2.5), r2(0.125), r3(45.5);
+   long double               l1(2.5), l2(0.125), l3(45.5);
+   long double tol = std::numeric_limits<long double>::epsilon() * 2;
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t += r2;
+      t2 += l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t += 23L;
+      t2 = 23 + l1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t -= r2;
+      t2 -= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t -= 23L;
+      t2 = l1 - 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t *= r2;
+      t2 *= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t *= 23L;
+      t2 = 23 * l1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t /= r2;
+      t2 /= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t /= 23L;
+      t2 = l1 / 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t;
+      long double t2;
+      t = r1 + r2;
+      t2 = l1 + l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = l2 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 + 23L;
+      t = r1 + 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = 23L + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 - r2;
+      t2 = l1 - l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t2 = l2 - l1;
+      t = l2 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 - 23L;
+      t = r1 - 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = 23L - l1;
+      t = 23L - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 * r2;
+      t2 = l1 * l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = l2 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 * 23L;
+      t = r1 * 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = 23L * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 / r2;
+      t2 = l1 / l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t2 = l2 / l1;
+      t = l2 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 / 23L;
+      t = r1 / 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = 23L / l1;
+      t = 23L / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      BOOST_CHECK_EQUAL(r1 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == l2, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == 0.125, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == 0.125f, l1 == l2);
+      BOOST_CHECK_EQUAL(l1 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(2.5 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(2.5f == r2, l1 == l2);
+
+      BOOST_CHECK_EQUAL(r1 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= l2, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= 0.125, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= 0.125f, l1 <= l2);
+      BOOST_CHECK_EQUAL(l1 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(2.5 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(2.5f <= r2, l1 <= l2);
+
+      BOOST_CHECK_EQUAL(r1 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= l2, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= 0.125, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= 0.125f, l1 >= l2);
+      BOOST_CHECK_EQUAL(l1 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(2.5 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(2.5f >= r2, l1 >= l2);
+
+      BOOST_CHECK_EQUAL(r1 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < l2, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < 0.125, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < 0.125f, l1 < l2);
+      BOOST_CHECK_EQUAL(l1 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(2.5 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(2.5f < r2, l1 < l2);
+
+      BOOST_CHECK_EQUAL(r1 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > l2, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > 0.125, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > 0.125f, l1 > l2);
+      BOOST_CHECK_EQUAL(l1 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(2.5 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(2.5f > r2, l1 > l2);
+   }
+
+   {
+      BOOST_MATH_STD_USING
+      BOOST_CHECK_CLOSE_FRACTION(acos(r2), acos(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(cos(r2), cos(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(asin(r2), asin(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(atan(r2), atan(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(atan2(r2, r3), atan2(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ceil(r2), ceil(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(fmod(r2, r3), fmod(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(cosh(r2), cosh(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(exp(r2), exp(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(fabs(r2), fabs(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(abs(r2), abs(l2), tol);
+      rc_t rc_result;
+      long double ld_result;
+#ifdef __MINGW32__
+      BOOST_CHECK_CLOSE_FRACTION(modf(r2, &rc_result), boost::math::modf(l2, &ld_result), tol);
+#else
+      BOOST_CHECK_CLOSE_FRACTION(modf(r2, &rc_result), modf(l2, &ld_result), tol);
+#endif
+      BOOST_CHECK_CLOSE_FRACTION(rc_result, ld_result, tol);
+      int i1, i2;
+      BOOST_CHECK_CLOSE_FRACTION(frexp(r3, &i1), frexp(l3, &i2), tol);
+      BOOST_CHECK_EQUAL(i1, i2);
+      BOOST_CHECK_CLOSE_FRACTION(ldexp(r3, i1), ldexp(l3, i1), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log(r2), log(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log10(r2), log10(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(tan(r2), tan(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pow(r2, r3), pow(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pow(r2, i1), pow(l2, i1), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sin(r2), sin(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sinh(r2), sinh(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sqrt(r2), sqrt(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(tanh(r2), tanh(l2), tol);
+
+      BOOST_CHECK_EQUAL(iround(r2), boost::math::iround(l2));
+      BOOST_CHECK_EQUAL(lround(r2), boost::math::lround(l2));
+#ifdef BOOST_HAS_LONG_LONG
+      BOOST_CHECK_EQUAL(llround(r2), boost::math::llround(l2));
+#endif
+      BOOST_CHECK_EQUAL(itrunc(r2), boost::math::itrunc(l2));
+      BOOST_CHECK_EQUAL(ltrunc(r2), boost::math::ltrunc(l2));
+#ifdef BOOST_HAS_LONG_LONG
+      BOOST_CHECK_EQUAL(lltrunc(r2), boost::math::lltrunc(l2));
+#endif
+   }
+
+   {
+      using namespace boost::math::tools;
+      tol = std::numeric_limits<long double>::epsilon();
+      BOOST_CHECK_CLOSE_FRACTION(max_value<rc_t>(), max_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(min_value<rc_t>(), min_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log_max_value<rc_t>(), log_max_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log_min_value<rc_t>(), log_min_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(epsilon<rc_t>(), epsilon<long double>(), tol);
+      BOOST_CHECK_EQUAL(digits<rc_t>(), digits<long double>());
+   }
+
+   {
+      using namespace boost::math::constants;
+      BOOST_CHECK_CLOSE_FRACTION(pi<rc_t>(), pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_pi<rc_t>(), root_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_half_pi<rc_t>(), root_half_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_two_pi<rc_t>(), root_two_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_ln_four<rc_t>(), root_ln_four<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(half<rc_t>(), half<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(euler<rc_t>(), euler<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_two<rc_t>(), root_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ln_two<rc_t>(), ln_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ln_ln_two<rc_t>(), ln_ln_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(third<rc_t>(), third<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(twothirds<rc_t>(), twothirds<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pi_minus_three<rc_t>(), pi_minus_three<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(four_minus_pi<rc_t>(), four_minus_pi<long double>(), tol);
+ //     BOOST_CHECK_CLOSE_FRACTION(pow23_four_minus_pi<rc_t>(), pow23_four_minus_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(exp_minus_half<rc_t>(), exp_minus_half<long double>(), tol);
+   }
+
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_real_concept_neg_bin.cpp b/src/boost/libs/math/test/test_real_concept_neg_bin.cpp
new file mode 100644
index 00000000..68ddba6c
--- /dev/null
+++ b/src/boost/libs/math/test/test_real_concept_neg_bin.cpp
@@ -0,0 +1,52 @@
+// test_real_concept.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests real_concept for Negative Binomial and Geometric Distribution.
+// find_upper_bound ...
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/geometric.hpp> // for geometric_distribution
+using boost::math::geometric_distribution;
+using boost::math::geometric; // using typedef for geometric_distribution<double> 
+
+#include <boost/math/distributions/negative_binomial.hpp> // for some comparisons.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(RealType)
+{
+    using boost::math::negative_binomial_distribution;
+
+    // NOT boost::math::negative_binomial or boost::math::geometric 
+    // - because then you get the default negative_binomial_distribution<double>!!!
+
+    RealType k = static_cast<RealType>(2.L);
+    RealType alpha = static_cast<RealType>(0.05L);
+    RealType p = static_cast<RealType>(0.5L);
+    RealType result;
+    result = negative_binomial_distribution<RealType>::find_lower_bound_on_p(static_cast<RealType>(k), static_cast<RealType>(1), static_cast<RealType>(alpha));
+    result = negative_binomial_distribution<RealType>::find_lower_bound_on_p(k, 1, alpha);
+    result = geometric_distribution<RealType>::find_lower_bound_on_p(k, alpha);
+}
+
+int main()
+{
+  test_spot(boost::math::concepts::real_concept(0.)); // Test real concept.
+  return 0;
+} 
diff --git a/src/boost/libs/math/test/test_recurrence.cpp b/src/boost/libs/math/test/test_recurrence.cpp
new file mode 100644
index 00000000..9462452b
--- /dev/null
+++ b/src/boost/libs/math/test/test_recurrence.cpp
@@ -0,0 +1,176 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE test_recurrences
+
+#include <boost/config.hpp>
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/tools/recurrence.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+//#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class T>
+struct bessel_jy_recurrence
+{
+   bessel_jy_recurrence(T v, T z) : v(v), z(z) {}
+   boost::math::tuple<T, T, T> operator()(int k)const
+   {
+      return boost::math::tuple<T, T, T>(T(1), -2 * (v + k) / z, T(1));
+   }
+
+   T v, z;
+};
+
+template <class T>
+struct bessel_ik_recurrence
+{
+   bessel_ik_recurrence(T v, T z) : v(v), z(z) {}
+   boost::math::tuple<T, T, T> operator()(int k)const
+   {
+      return boost::math::tuple<T, T, T>(T(1), -2 * (v + k) / z, T(-1));
+   }
+
+   T v, z;
+};
+
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   std::cout << "Running tests for type " << name << std::endl;
+   T tol = boost::math::tools::epsilon<T>() * 5;
+   if ((std::numeric_limits<T>::digits > 53) || (std::numeric_limits<T>::digits == 0))
+      tol *= 5;
+   //
+   // Test forward recurrence on Y_v(x):
+   //
+   {
+      T v = 22.25;
+      T x = 4.125;
+      bessel_jy_recurrence<T> coef(v, x);
+      T prev;
+      T first = boost::math::cyl_neumann(v - 1, x);
+      T second = boost::math::cyl_neumann(v, x);
+      T sixth = boost::math::tools::apply_recurrence_relation_forward(coef, 6, first, second, (int*)0, &prev);
+      T expected1 = boost::math::cyl_neumann(v + 6, x);
+      T expected2 = boost::math::cyl_neumann(v + 5, x);
+      BOOST_CHECK_CLOSE_FRACTION(sixth, expected1, tol);
+      BOOST_CHECK_CLOSE_FRACTION(prev, expected2, tol);
+
+      boost::math::tools::forward_recurrence_iterator< bessel_jy_recurrence<T> > it(coef, first, second);
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_neumann(v + i, x);
+         T found = *it;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it;
+      }
+
+      if (std::numeric_limits<T>::max_exponent > 300)
+      {
+         //
+         // This calculates the ratio Y_v(x)/Y_v+1(x) from the recurrence relations
+         // which are only transiently stable since Y_v is not minimal as v->-INF
+         // but only as v->0.  We have to be sure that v is sufficiently large that
+         // convergence is complete before we reach the origin.
+         //
+         v = 102.75;
+         boost::uintmax_t max_iter = 200;
+         T ratio = boost::math::tools::function_ratio_from_forwards_recurrence(bessel_jy_recurrence<T>(v, x), boost::math::tools::epsilon<T>(), max_iter);
+         first = boost::math::cyl_neumann(v, x);
+         second = boost::math::cyl_neumann(v + 1, x);
+         BOOST_CHECK_CLOSE_FRACTION(ratio, first / second, tol);
+
+         boost::math::tools::forward_recurrence_iterator< bessel_jy_recurrence<T> > it2(bessel_jy_recurrence<T>(v, x), boost::math::cyl_neumann(v, x));
+         for (unsigned i = 0; i < 15; ++i)
+         {
+            expected1 = boost::math::cyl_neumann(v + i, x);
+            T found = *it2;
+            BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+            ++it2;
+         }
+      }
+
+   }
+   //
+   // Test backward recurrence on J_v(x):
+   //
+   {
+      if ((std::numeric_limits<T>::digits > 53) || !std::numeric_limits<T>::is_specialized)
+         tol *= 5;
+
+      T v = 22.25;
+      T x = 4.125;
+      bessel_jy_recurrence<T> coef(v, x);
+      T prev;
+      T first = boost::math::cyl_bessel_j(v + 1, x);
+      T second = boost::math::cyl_bessel_j(v, x);
+      T sixth = boost::math::tools::apply_recurrence_relation_backward(coef, 6, first, second, (int*)0, &prev);
+      T expected1 = boost::math::cyl_bessel_j(v - 6, x);
+      T expected2 = boost::math::cyl_bessel_j(v - 5, x);
+      BOOST_CHECK_CLOSE_FRACTION(sixth, expected1, tol);
+      BOOST_CHECK_CLOSE_FRACTION(prev, expected2, tol);
+
+      boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it(coef, first, second);
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_bessel_j(v - i, x);
+         T found = *it;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it;
+      }
+
+      boost::uintmax_t max_iter = 200;
+      T ratio = boost::math::tools::function_ratio_from_backwards_recurrence(bessel_jy_recurrence<T>(v, x), boost::math::tools::epsilon<T>(), max_iter);
+      first = boost::math::cyl_bessel_j(v, x);
+      second = boost::math::cyl_bessel_j(v - 1, x);
+      BOOST_CHECK_CLOSE_FRACTION(ratio, first / second, tol);
+
+      boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it2(bessel_jy_recurrence<T>(v, x), boost::math::cyl_bessel_j(v, x));
+      //boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it3(bessel_jy_recurrence<T>(v, x), boost::math::cyl_neumann(v+1, x), boost::math::cyl_neumann(v, x));
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_bessel_j(v - i, x);
+         T found = *it2;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it2;
+      }
+
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+#if !defined(TEST) || TEST == 1
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || TEST == 2 || TEST == 3
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_remez.cpp b/src/boost/libs/math/test/test_remez.cpp
new file mode 100644
index 00000000..8009d34b
--- /dev/null
+++ b/src/boost/libs/math/test/test_remez.cpp
@@ -0,0 +1,187 @@
+//  Copyright John Maddock 2006
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4267) // conversion from 'size_t' to 'const unsigned int', possible loss of data
+#  pragma warning(disable : 4180) // qualifier applied to function type has no meaning; ignored
+#  pragma warning(disable : 4224) // nonstandard extension used : formal parameter 'function_ptr' was previously defined as a type
+#  pragma warning(disable : 4100) // unreferenced formal parameter (in ublas/functional)
+#endif
+
+#include <boost/math/tools/remez.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <iostream>
+#include <iomanip>
+
+
+void test_polynomial()
+{
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   double (*f)(double) = boost::math::expm1<double>;
+#else
+   double (*f)(double) = boost::math::expm1;
+#endif
+   std::cout << "Testing expm1 approximation, pinned to origin, abolute error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx1(f, 6, 0, -1, 1, true, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx1.iterate();
+      std::cout << approx1.error_term() << " " << approx1.max_error() << " " << approx1.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing expm1 approximation, pinned to origin, relative error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx2(f, 6, 0, -1, 1, true, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx2.iterate();
+      std::cout << approx2.error_term() << " " << approx2.max_error() << " " << approx2.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::exp;
+   std::cout << "Testing exp approximation, not pinned to origin, abolute error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx3(f, 6, 0, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx3.iterate();
+      std::cout << approx3.error_term() << " " << approx3.max_error() << " " << approx3.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing exp approximation, not pinned to origin, relative error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx4(f, 6, 0, -1, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx4.iterate();
+      std::cout << approx4.error_term() << " " << approx4.max_error() << " " << approx4.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::cos;
+   std::cout << "Testing cos approximation, not pinned to origin, abolute error, 5 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx5(f, 5, 0, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx5.iterate();
+      std::cout << approx5.error_term() << " " << approx5.max_error() << " " << approx5.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing cos approximation, not pinned to origin, relative error, 5 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx6(f, 5, 0, -1, 1, false, true);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx6.iterate();
+      std::cout << approx6.error_term() << " " << approx6.max_error() << " " << approx6.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::sin;
+   std::cout << "Testing sin approximation, pinned to origin, abolute error, 4 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx7(f, 4, 0, 0, 1, true, false);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx7.iterate();
+      std::cout << approx7.error_term() << " " << approx7.max_error() << " " << approx7.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing sin approximation, pinned to origin, relative error, 4 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx8(f, 4, 0, 0, 1, true, true);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx8.iterate();
+      std::cout << approx8.error_term() << " " << approx8.max_error() << " " << approx8.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+}
+
+void test_rational()
+{
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   double (*f)(double) = boost::math::expm1<double>;
+#else
+   double (*f)(double) = boost::math::expm1;
+#endif
+   std::cout << "Testing expm1 approximation, pinned to origin, abolute error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx1(f, 3, 3, -1, 1, true, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx1.iterate();
+      std::cout << approx1.error_term() << " " << approx1.max_error() << " " << approx1.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+#if 0
+   //
+   // This one causes UBLAS to fail on some systems, so disabled for now.
+   //
+   std::cout << "Testing expm1 approximation, pinned to origin, relative error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx2(f, 3, 3, -1, 1, true, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx2.iterate();
+      std::cout << approx2.error_term() << " " << approx2.max_error() << " " << approx2.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+#endif
+   f = std::exp;
+   std::cout << "Testing exp approximation, not pinned to origin, abolute error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx3(f, 3, 3, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx3.iterate();
+      std::cout << approx3.error_term() << " " << approx3.max_error() << " " << approx3.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing exp approximation, not pinned to origin, relative error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx4(f, 3, 3, -1, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx4.iterate();
+      std::cout << approx4.error_term() << " " << approx4.max_error() << " " << approx4.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::cos;
+   std::cout << "Testing cos approximation, not pinned to origin, abolute error, 2+2 term rational\n";
+   boost::math::tools::remez_minimax<double> approx5(f, 2, 2, 0, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx5.iterate();
+      std::cout << approx5.error_term() << " " << approx5.max_error() << " " << approx5.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing cos approximation, not pinned to origin, relative error, 2+2 term rational\n";
+   boost::math::tools::remez_minimax<double> approx6(f, 2, 2, 0, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx6.iterate();
+      std::cout << approx6.error_term() << " " << approx6.max_error() << " " << approx6.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_polynomial();
+   test_rational();
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_root_finding_concepts.cpp b/src/boost/libs/math/test/test_root_finding_concepts.cpp
new file mode 100644
index 00000000..60543f92
--- /dev/null
+++ b/src/boost/libs/math/test/test_root_finding_concepts.cpp
@@ -0,0 +1,254 @@
+// Copyright John Maddock 2014
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/tuple/tuple.hpp>
+#include <boost/fusion/include/tuple.hpp>
+#include <boost/fusion/include/std_pair.hpp>
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+#include <tuple>
+#endif
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/math/tools/roots.hpp>
+
+//
+// We'll use cbrt as an example:
+//
+struct cbtr_functor_1
+{
+   cbtr_functor_1(double x) : m_target(x) {}
+   double operator()(double x)
+   {
+      return x * x * x - m_target;
+   }
+private:
+   double m_target;
+};
+
+struct cbtr_functor_2a
+{
+   cbtr_functor_2a(double x) : m_target(x) {}
+   std::pair<double, double> operator()(double x)
+   {
+      return std::make_pair(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+struct cbtr_functor_2b
+{
+   cbtr_functor_2b(double x) : m_target(x) {}
+   std::tuple<double, double> operator()(double x)
+   {
+      return std::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+#endif
+struct cbtr_functor_2c
+{
+   cbtr_functor_2c(double x) : m_target(x) {}
+   boost::tuple<double, double> operator()(double x)
+   {
+      return boost::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+struct cbtr_functor_2d
+{
+   cbtr_functor_2d(double x) : m_target(x) {}
+   boost::fusion::tuple<double, double> operator()(double x)
+   {
+      return boost::fusion::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+struct cbtr_functor_3b
+{
+   cbtr_functor_3b(double x) : m_target(x) {}
+   std::tuple<double, double, double> operator()(double x)
+   {
+      return std::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+#endif
+struct cbtr_functor_3c
+{
+   cbtr_functor_3c(double x) : m_target(x) {}
+   boost::tuple<double, double, double> operator()(double x)
+   {
+      return boost::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+struct cbtr_functor_3d
+{
+   cbtr_functor_3d(double x) : m_target(x) {}
+   boost::fusion::tuple<double, double, double> operator()(double x)
+   {
+      return boost::fusion::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   double x = 27;
+   double expected = 3;
+   double result;
+   double tolerance = std::numeric_limits<double>::epsilon() * 5;
+   std::pair<double, double> p;
+   //
+   // Start by trying the unary functors, bisect first:
+   //
+   cbtr_functor_1 f1(x);
+   boost::math::tools::eps_tolerance<double> t(std::numeric_limits<double>::digits - 1);
+   p = boost::math::tools::bisect(f1, 0.0, x, t);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // bracket_and_solve_root:
+   //
+   boost::uintmax_t max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::bracket_and_solve_root(f1, x, 2.0, true, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // toms748_solve:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::toms748_solve(f1, 0.0, x, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+
+#ifndef BOOST_NO_CXX11_LAMBDAS
+   //
+   // Now try again with C++11 lambda's
+   //
+   p = boost::math::tools::bisect([x](double z){ return z * z * z - x; }, 0.0, x, t);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // bracket_and_solve_root:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::bracket_and_solve_root([x](double z){ return z * z * z - x; }, x, 2.0, true, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // toms748_solve:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::toms748_solve([x](double z){ return z * z * z - x; }, 0.0, x, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+
+   cbtr_functor_2a f2(x);
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   cbtr_functor_2b f3(x);
+#endif
+   cbtr_functor_2c f4(x);
+   cbtr_functor_2d f5(x);
+
+   //
+   // Binary Functors - newton_raphson_iterate - test each possible tuple type:
+   //
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::newton_raphson_iterate(f2, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate(f3, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::newton_raphson_iterate(f4, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate(f5, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // And again but with lambdas:
+   //
+#ifndef BOOST_NO_CXX11_LAMBDAS
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return std::make_pair(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return boost::tuple<double, double>(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return boost::fusion::tuple<double, double>(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   cbtr_functor_3b f6(x);
+#endif
+   cbtr_functor_3c f7(x);
+   cbtr_functor_3d f8(x);
+
+   //
+   // Ternary functors:
+   //
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::halley_iterate(f6, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::halley_iterate(f7, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::halley_iterate(f8, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_LAMBDAS
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::halley_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::halley_iterate([x](double z){ return boost::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::halley_iterate([x](double z){ return boost::fusion::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::schroder_iterate(f6, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::schroder_iterate(f7, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::schroder_iterate(f8, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_LAMBDAS
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::schroder_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::schroder_iterate([x](double z){ return boost::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::schroder_iterate([x](double z){ return boost::fusion::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_root_iterations.cpp b/src/boost/libs/math/test/test_root_iterations.cpp
new file mode 100644
index 00000000..973f8550
--- /dev/null
+++ b/src/boost/libs/math/test/test_root_iterations.cpp
@@ -0,0 +1,325 @@
+//  (C) Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <iostream>
+#include <iomanip>
+#include <tuple>
+#include "table_type.hpp"
+
+// No derivatives - using TOMS748 internally.
+struct cbrt_functor_noderiv
+{ //  cube root of x using only function - no derivatives.
+   cbrt_functor_noderiv(double to_find_root_of) : a(to_find_root_of)
+   { // Constructor just stores value a to find root of.
+   }
+   double operator()(double x)
+   {
+      double fx = x*x*x - a; // Difference (estimate x^3 - a).
+      return fx;
+   }
+private:
+   double a; // to be 'cube_rooted'.
+}; // template <class T> struct cbrt_functor_noderiv
+
+// Using 1st derivative only Newton-Raphson
+struct cbrt_functor_deriv
+{ // Functor also returning 1st derviative.
+   cbrt_functor_deriv(double const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of,
+      // for example: calling cbrt_functor_deriv<double>(x) to use to get cube root of x.
+   }
+   std::pair<double, double> operator()(double const& x)
+   { // Return both f(x) and f'(x).
+      double fx = x*x*x - a; // Difference (estimate x^3 - value).
+      double dx = 3 * x*x; // 1st derivative = 3x^2.
+      return std::make_pair(fx, dx); // 'return' both fx and dx.
+   }
+private:
+   double a; // to be 'cube_rooted'.
+};
+// Using 1st and 2nd derivatives with Halley algorithm.
+struct cbrt_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+   cbrt_functor_2deriv(double const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of, for example:
+      // calling cbrt_functor_2deriv<double>(x) to get cube root of x,
+   }
+   std::tuple<double, double, double> operator()(double const& x)
+   { // Return both f(x) and f'(x) and f''(x).
+      double fx = x*x*x - a; // Difference (estimate x^3 - value).
+      double dx = 3 * x*x; // 1st derivative = 3x^2.
+      double d2x = 6 * x; // 2nd derivative = 6x.
+      return std::make_tuple(fx, dx, d2x); // 'return' fx, dx and d2x.
+   }
+private:
+   double a; // to be 'cube_rooted'.
+};
+
+template <class T, class Policy>
+struct ibeta_roots_1   // for first order algorithms
+{
+   ibeta_roots_1(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   T operator()(const T& x)
+   {
+      return boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_2   // for second order algorithms
+{
+   ibeta_roots_2(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   boost::math::tuple<T, T> operator()(const T& x)
+   {
+      typedef boost::math::lanczos::lanczos<T, Policy> S;
+      typedef typename S::type L;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+         : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if (y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+
+      // make sure we don't have a zero derivative:
+      if (f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, f1);
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_3   // for third order algorithms
+{
+   ibeta_roots_3(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   boost::math::tuple<T, T, T> operator()(const T& x)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+         : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if (y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+      T f2 = f1 * (-y * a + (b - 2) * x + 1) / (y * x);
+      if (invert)
+         f2 = -f2;
+
+      // make sure we don't have a zero derivative:
+      if (f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, f1, f2);
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   int newton_limits = static_cast<int>(std::numeric_limits<double>::digits * 0.6);
+
+   double arg = 1e-50;
+   boost::uintmax_t iters;
+   double guess;
+   double dr;
+
+   while(arg < 1e50)
+   {
+      double result = boost::math::cbrt(arg);
+      //
+      // Start with a really bad guess 5 times below the result:
+      //
+      guess = result / 5;
+      iters = 1000;
+      // TOMS algo first:
+      std::pair<double, double> r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 14);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, guess / 2, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 12);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 7);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 11);
+      //
+      // Over again with a bad guess 5 times larger than the result:
+      //
+      iters = 1000;
+      guess = result * 5;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 14);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 12);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 7);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 11);
+      //
+      // A much better guess, 1% below result:
+      //
+      iters = 1000;
+      guess = result * 0.9;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 12);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 5);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 3);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 4);
+      //
+      // A much better guess, 1% above result:
+      //
+      iters = 1000;
+      guess = result * 1.1;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 12);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 5);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 3);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 4);
+
+      arg *= 3.5;
+   }
+
+   //
+   // Test ibeta as this triggers all the pathological cases!
+   //
+#ifndef SC_
+#define SC_(x) x
+#endif
+#define T double
+
+#  include "ibeta_small_data.ipp"
+
+   for (unsigned i = 0; i < ibeta_small_data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if (ibeta_small_data[i][5] == 0)
+      {
+         iters = 1000;
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 0.0);
+         BOOST_CHECK_LE(iters, 27);
+         iters = 1000;
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 0.0);
+         BOOST_CHECK_LE(iters, 10);
+      }
+      else if ((1 - ibeta_small_data[i][5] > 0.001)
+         && (fabs(ibeta_small_data[i][5]) > 2 * boost::math::tools::min_value<double>()))
+      {
+         iters = 1000;
+         double result = ibeta_small_data[i][2];
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 200);
+#if defined(BOOST_MSVC) && (BOOST_MSVC == 1600)
+         BOOST_CHECK_LE(iters, 40);
+#else
+         BOOST_CHECK_LE(iters, 27);
+#endif
+         iters = 1000;
+         result = ibeta_small_data[i][2];
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 200);
+         BOOST_CHECK_LE(iters, 40);
+      }
+      else if (1 == ibeta_small_data[i][5])
+      {
+         iters = 1000;
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 1.0);
+         BOOST_CHECK_LE(iters, 27);
+         iters = 1000;
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 1.0);
+         BOOST_CHECK_LE(iters, 10);
+      }
+   }
+
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_roots.cpp b/src/boost/libs/math/test/test_roots.cpp
new file mode 100644
index 00000000..eef30721
--- /dev/null
+++ b/src/boost/libs/math/test/test_roots.cpp
@@ -0,0 +1,663 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/distributions/skew_normal.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/array.hpp>
+#include <boost/type_index.hpp>
+#include "table_type.hpp"
+#include <iostream>
+#include <iomanip>
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+
+//
+// Implement various versions of inverse of the incomplete beta
+// using different root finding algorithms, and deliberately "bad"
+// starting conditions: that way we get all the pathological cases
+// we could ever wish for!!!
+//
+
+template <class T, class Policy>
+struct ibeta_roots_1   // for first order algorithms
+{
+   ibeta_roots_1(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   T operator()(const T& x)
+   {
+      return boost::math::detail::ibeta_imp(a, b, (neg ? -x : x), Policy(), invert, true) - target;
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_2   // for second order algorithms
+{
+   ibeta_roots_2(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   boost::math::tuple<T, T> operator()(const T& xx)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T x = neg ? -xx : xx;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+               : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if(y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+
+      // make sure we don't have a zero derivative:
+      if(f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, neg ? -f1 : f1);
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_3   // for third order algorithms
+{
+   ibeta_roots_3(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   boost::math::tuple<T, T, T> operator()(const T& xx)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T x = neg ? -xx : xx;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+               -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+               : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if(y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+      T f2 = f1 * (-y * a + (b - 2) * x + 1) / (y * x);
+      if(invert)
+         f2 = -f2;
+
+      // make sure we don't have a zero derivative:
+      if(f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      if (neg)
+      {
+         f1 = -f1;
+      }
+
+      return boost::math::make_tuple(f, f1, f2);
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+double inverse_ibeta_bisect(double a, double b, double z)
+{
+   typedef boost::math::policies::policy<> pol;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   boost::math::tools::eps_tolerance<double> tol(precision);
+   return boost::math::tools::bisect(ibeta_roots_1<double, pol>(a, b, z, invert), min, max, tol).first;
+}
+
+double inverse_ibeta_bisect_neg(double a, double b, double z)
+{
+   typedef boost::math::policies::policy<> pol;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   boost::math::tools::eps_tolerance<double> tol(precision);
+   return -boost::math::tools::bisect(ibeta_roots_1<double, pol>(a, b, z, invert, true), min, max, tol).first;
+}
+
+double inverse_ibeta_newton(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+double inverse_ibeta_newton_neg(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   return -boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(a, b, z, invert, true), -guess, min, max, precision);
+}
+
+double inverse_ibeta_halley(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+double inverse_ibeta_halley_neg(double a, double b, double z)
+{
+   double guess = -0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   return -boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert, true), guess, min, max, precision);
+}
+
+double inverse_ibeta_schroder(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::schroder_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 150;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(data[i][5] == 0)
+      {
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+      }
+      else if((1 - data[i][5] > 0.001)
+         && (fabs(data[i][5]) > 2 * boost::math::tools::min_value<value_type>())
+         && (fabs(data[i][5]) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_ASSERT(boost::math::isfinite(inv));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+      }
+      else if(1 == data[i][5])
+      {
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+      }
+
+   }
+}
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+void test_beta(T, const char* /* name */)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+}
+
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_LAMBDAS)
+template <class Complex>
+void test_complex_newton()
+{
+    typedef typename Complex::value_type Real;
+    std::cout << "Testing complex Newton's Method on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::abs;
+    using std::sqrt;
+    using boost::math::tools::complex_newton;
+    using boost::math::tools::polynomial;
+    using boost::math::constants::half;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    // p(z) = z^2 + 1, roots: \pm i.
+    polynomial<Complex> p{{1,0}, {0, 0}, {1,0}};
+    Complex guess{1,1};
+    polynomial<Complex> p_prime = p.prime();
+    auto f = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    Complex root = complex_newton(f, guess);
+
+    BOOST_CHECK(abs(root.real()) <= tol);
+    BOOST_CHECK_CLOSE(root.imag(), (Real)1, tol);
+
+    guess = -guess;
+    root = complex_newton(f, guess);
+    BOOST_CHECK(abs(root.real()) <= tol);
+    BOOST_CHECK_CLOSE(root.imag(), (Real)-1, tol);
+
+    // Test that double roots are handled correctly-as correctly as possible.
+    // Convergence at a double root is not quadratic.
+    // This sets p = (z-i)^2:
+    p = polynomial<Complex>({{-1,0}, {0,-2}, {1,0}});
+    p_prime = p.prime();
+    guess = -guess;
+    auto g = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g, guess);
+    BOOST_CHECK(abs(root.real()) < 10*sqrt(tol));
+    BOOST_CHECK_CLOSE(root.imag(), (Real)1, tol);
+
+    // Test that zero derivatives are handled.
+    // p(z) = z^2 + iz + 1
+    p = polynomial<Complex>({{1,0}, {0,1}, {1,0}});
+    // p'(z) = 2z + i
+    p_prime = p.prime();
+    guess = Complex(0,-boost::math::constants::half<Real>());
+    auto g2 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g2, guess);
+
+    // Here's the other root, in case code changes cause it to be found:
+    //Complex expected_root1{0, half<Real>()*(sqrt(static_cast<Real>(5)) - static_cast<Real>(1))};
+    Complex expected_root2{0, -half<Real>()*(sqrt(static_cast<Real>(5)) + static_cast<Real>(1))};
+
+    BOOST_CHECK_CLOSE(expected_root2.imag(),root.imag(), tol);
+    BOOST_CHECK(abs(root.real()) < tol);
+
+    // Does a zero root pass the termination criteria?
+    p = polynomial<Complex>({{0,0}, {0,0}, {1,0}});
+    p_prime = p.prime();
+    guess = Complex(0, -boost::math::constants::half<Real>());
+    auto g3 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g3, guess);
+    BOOST_CHECK(abs(root.real()) < tol);
+
+    // Does a monstrous root pass?
+    Real x = -pow(static_cast<Real>(10), 20);
+    p = polynomial<Complex>({{x, x}, {1,0}});
+    p_prime = p.prime();
+    guess = Complex(0, -boost::math::constants::half<Real>());
+    auto g4 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g4, guess);
+    BOOST_CHECK(abs(root.real() + x) < tol);
+    BOOST_CHECK(abs(root.imag() + x) < tol);
+
+}
+
+// Polynomials which didn't factorize using Newton's method at first:
+void test_daubechies_fails()
+{
+    std::cout << "Testing failures from Daubechies filter computation.\n";
+    using std::abs;
+    using std::sqrt;
+    using boost::math::tools::complex_newton;
+    using boost::math::tools::polynomial;
+    using boost::math::constants::half;
+
+    double tol = 500*std::numeric_limits<double>::epsilon();
+    polynomial<std::complex<double>> p{{-185961388.136908293,141732493.98435241}, {601080390,0}};
+    std::complex<double> guess{1,1};
+    polynomial<std::complex<double>> p_prime = p.prime();
+    auto f = [&](std::complex<double> z) { return std::make_pair<std::complex<double>, std::complex<double>>(p(z), p_prime(z)); };
+    std::complex<double> root = complex_newton(f, guess);
+
+    std::complex<double> expected_root = -p.data()[0]/p.data()[1];
+    BOOST_CHECK_CLOSE(expected_root.imag(), root.imag(), tol);
+    BOOST_CHECK_CLOSE(expected_root.real(), root.real(), tol);
+}
+#endif
+
+#if !defined(BOOST_NO_CXX17_IF_CONSTEXPR)
+template<class Real>
+void test_solve_real_quadratic()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots<Real>(1, 0, -1);
+    BOOST_CHECK_CLOSE(x0, Real(-1), tol);
+    BOOST_CHECK_CLOSE(x1, Real(1), tol);
+
+    auto p = quadratic_roots((Real)7, (Real)0, (Real)0);
+    BOOST_CHECK_SMALL(p.first, tol);
+    BOOST_CHECK_SMALL(p.second, tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots((Real)1, (Real)-14, (Real)49);
+    BOOST_CHECK_CLOSE(p.first, Real(7), tol);
+    BOOST_CHECK_CLOSE(p.second, Real(7), tol);
+
+    // This test does not pass in multiprecision,
+    // due to the fact it does not have an fma:
+    if (std::is_floating_point<Real>::value)
+    {
+        // (x-1)(x-1-eps) = x^2 + (-eps - 2)x + (1)(1+eps)
+        Real eps = 2*std::numeric_limits<Real>::epsilon();
+        Real b = 256 * (-2 - eps);
+        Real c = 256 * (1 + eps);
+        p = quadratic_roots((Real)256, b, c);
+        BOOST_CHECK_CLOSE(p.first, Real(1), tol);
+        BOOST_CHECK_CLOSE(p.second, Real(1) + eps, tol);
+    }
+
+    if (std::is_same<Real, double>::value)
+    {
+        // Kahan's example: This is the test that demonstrates the necessity of the fma instruction.
+        // https://en.wikipedia.org/wiki/Loss_of_significance#Instability_of_the_quadratic_equation
+        p = quadratic_roots<Real>((Real)94906265.625, (Real )-189812534, (Real)94906268.375);
+        BOOST_CHECK_CLOSE_FRACTION(p.first, Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(p.second, 1.000000028975958, 4*tol);
+    }
+}
+
+template<class Z>
+void test_solve_int_quadratic()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots(1, 0, -1);
+    BOOST_CHECK_CLOSE(x0, double(-1), tol);
+    BOOST_CHECK_CLOSE(x1, double(1), tol);
+
+    auto p = quadratic_roots(7, 0, 0);
+    BOOST_CHECK_SMALL(p.first, tol);
+    BOOST_CHECK_SMALL(p.second, tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots(1, -14, 49);
+    BOOST_CHECK_CLOSE(p.first, double(7), tol);
+    BOOST_CHECK_CLOSE(p.second, double(7), tol);
+}
+
+template<class Complex>
+void test_solve_complex_quadratic()
+{
+    using Real = typename Complex::value_type;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots<Complex>({1,0}, {0,0}, {-1,0});
+    BOOST_CHECK_CLOSE(x0.real(), Real(-1), tol);
+    BOOST_CHECK_CLOSE(x1.real(), Real(1), tol);
+    BOOST_CHECK_SMALL(x0.imag(), tol);
+    BOOST_CHECK_SMALL(x1.imag(), tol);
+
+    auto p = quadratic_roots<Complex>({7,0}, {0,0}, {0,0});
+    BOOST_CHECK_SMALL(p.first.real(), tol);
+    BOOST_CHECK_SMALL(p.second.real(), tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots<Complex>({1,0}, {-14,0}, {49,0});
+    BOOST_CHECK_CLOSE(p.first.real(), Real(7), tol);
+    BOOST_CHECK_CLOSE(p.second.real(), Real(7), tol);
+
+}
+
+#endif
+
+void test_failures()
+{
+#if !defined(BOOST_NO_CXX11_LAMBDAS)
+   // There is no root:
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(x * x + 1, 2 * x); }, 10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(x * x + 1, 2 * x); }, -10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   // There is a root, but a bad guess takes us into a local minima:
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(boost::math::pow<6>(x) - 2 * boost::math::pow<4>(x) + x + 0.5, 6 * boost::math::pow<5>(x) - 8 * boost::math::pow<3>(x) + 1); }, 0.75, -20., 20., 52), boost::math::evaluation_error);
+
+   // There is no root:
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(x * x + 1, 2 * x, 2); }, 10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(x * x + 1, 2 * x, 2); }, -10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   // There is a root, but a bad guess takes us into a local minima:
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(boost::math::pow<6>(x) - 2 * boost::math::pow<4>(x) + x + 0.5, 6 * boost::math::pow<5>(x) - 8 * boost::math::pow<3>(x) + 1, 30 * boost::math::pow<4>(x) - 24 * boost::math::pow<2>(x)); }, 0.75, -20., 20., 52), boost::math::evaluation_error);
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+   test_beta(0.1, "double");
+
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_LAMBDAS)
+   test_complex_newton<std::complex<float>>();
+   test_complex_newton<std::complex<double>>();
+   test_complex_newton<boost::multiprecision::cpp_complex_100>();
+   test_daubechies_fails();
+#endif
+
+#if !defined(BOOST_NO_CXX17_IF_CONSTEXPR)
+    test_solve_real_quadratic<float>();
+    test_solve_real_quadratic<double>();
+    test_solve_real_quadratic<long double>();
+    test_solve_real_quadratic<boost::multiprecision::cpp_bin_float_50>();
+
+    test_solve_int_quadratic<int>();
+    test_solve_complex_quadratic<std::complex<double>>();
+#endif
+    test_failures();
+}
diff --git a/src/boost/libs/math/test/test_round.cpp b/src/boost/libs/math/test/test_round.cpp
new file mode 100644
index 00000000..6475ac29
--- /dev/null
+++ b/src/boost/libs/math/test/test_round.cpp
@@ -0,0 +1,467 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/special_functions/modf.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <iostream>
+#include <iomanip>
+
+boost::mt19937 rng;
+
+template <class T>
+T get_random()
+{
+   //
+   // Fill all the bits in T with random values,
+   // likewise set the exponent to a random value
+   // that will still fit inside a T, and always
+   // have a remainder as well as an integer part.
+   //
+   int bits = boost::math::tools::digits<T>();
+   int shift = 0;
+   int exponent = rng() % (bits - 4);
+   T result = 0;
+   while(bits > 0)
+   {
+      result += ldexp(static_cast<T>(rng()), shift);
+      shift += std::numeric_limits<int>::digits;
+      bits -= std::numeric_limits<int>::digits;
+   }
+   return rng() & 1u ? -ldexp(frexp(result, &bits), exponent) : ldexp(frexp(result, &bits), exponent);
+}
+
+template <class T, class U>
+void check_within_half(T a, U u)
+{
+   BOOST_MATH_STD_USING
+   if(fabs(a-u) > 0.5f)
+   {
+      BOOST_ERROR("Rounded result differed by more than 0.5 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if((fabs(a - u) == 0.5f) && (fabs(static_cast<T>(u)) < fabs(a)))
+   {
+      BOOST_ERROR("Rounded result was towards zero with boost::round");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+}
+
+//
+// We may not have an abs overload for long long so provide a fall back:
+//
+template <class T>
+inline T safe_abs(T const& v ...)
+{
+   return v < 0 ? -v : v;
+}
+
+template <class T, class U>
+void check_trunc_result(T a, U u)
+{
+   BOOST_MATH_STD_USING
+   if(fabs(a-u) >= 1)
+   {
+      BOOST_ERROR("Rounded result differed by more than 1 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if(abs(a) < safe_abs(u))
+   {
+      BOOST_ERROR("Truncated result had larger absolute value than the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if(fabs(static_cast<T>(u)) > fabs(a))
+   {
+      BOOST_ERROR("Rounded result was away from zero with boost::trunc");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+}
+
+template <class T, class U>
+void check_modf_result(T a, T fract, U ipart)
+{
+   BOOST_MATH_STD_USING
+   if(fract + ipart != a)
+   {
+      BOOST_ERROR("Fractional and integer results do not add up to the original value");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << fract << std::endl;
+   }
+   if((boost::math::sign(a) != boost::math::sign(fract)) && boost::math::sign(fract))
+   {
+      BOOST_ERROR("Original and fractional parts have differing signs");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << fract << std::endl;
+   }
+   if((boost::math::sign(a) != boost::math::sign(ipart)) && boost::math::sign(ipart))
+   {
+      BOOST_ERROR("Original and integer parts have differing signs");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << ipart << std::endl;
+   }
+   if(fabs(a-ipart) >= 1)
+   {
+      BOOST_ERROR("Rounded result differed by more than 1 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << ipart << std::endl;
+   }
+}
+
+template <class T>
+void test_round_number(T arg)
+{
+   BOOST_MATH_STD_USING
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::llround;  using boost::math::lltrunc;
+#endif
+
+   T r = round(arg);
+   check_within_half(arg, r);
+   r = trunc(arg);
+   check_trunc_result(arg, r);
+   T frac = boost::math::modf(arg, &r);
+   check_modf_result(arg, frac, r);
+
+   if(abs(r) < (std::numeric_limits<int>::max)())
+   {
+      int i = iround(arg);
+      check_within_half(arg, i);
+      i = itrunc(arg);
+      check_trunc_result(arg, T(i));
+      r = boost::math::modf(arg, &i);
+      check_modf_result(arg, r, i);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      int si = iround(static_cast<T>((std::numeric_limits<int>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<int>::max)()), si);
+      si = iround(static_cast<T>((std::numeric_limits<int>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<int>::min)()), si);
+      si = itrunc(static_cast<T>((std::numeric_limits<int>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<int>::max)()), T(si));
+      si = itrunc(static_cast<T>((std::numeric_limits<int>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<int>::min)()), T(si));
+   }
+   if(abs(r) < (std::numeric_limits<long>::max)())
+   {
+      long l = lround(arg);
+      check_within_half(arg, l);
+      l = ltrunc(arg);
+      check_trunc_result(arg, T(l));
+      r = boost::math::modf(arg, &l);
+      check_modf_result(arg, r, l);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      long k = lround(static_cast<T>((std::numeric_limits<long>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<long>::max)()), k);
+      k = lround(static_cast<T>((std::numeric_limits<long>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<long>::min)()), k);
+      k = ltrunc(static_cast<T>((std::numeric_limits<long>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<long>::max)()), T(k));
+      k = ltrunc(static_cast<T>((std::numeric_limits<long>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<long>::min)()), T(k));
+   }
+
+#ifdef BOOST_HAS_LONG_LONG
+   if(abs(r) < (std::numeric_limits<boost::long_long_type>::max)())
+   {
+      boost::long_long_type ll = llround(arg);
+      check_within_half(arg, ll);
+      ll = lltrunc(arg);
+      check_trunc_result(arg, T(ll));
+      r = boost::math::modf(arg, &ll);
+      check_modf_result(arg, r, ll);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      boost::long_long_type j = llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()), j);
+      j = llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()), j);
+      j = lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()), T(j));
+      j = lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()), T(j));
+   }
+#endif
+}
+
+template <class T>
+void test_round(T, const char* name )
+{
+   BOOST_MATH_STD_USING
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::llround;  using boost::math::lltrunc;
+#endif
+
+   std::cout << "Testing rounding with type " << name << std::endl;
+
+   for(int i = 0; i < 1000; ++i)
+   {
+      T arg = get_random<T>();
+      test_round_number<T>(arg);
+   }
+   //
+   // Finish off by testing the error handlers:
+   //
+   BOOST_MATH_CHECK_THROW(iround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(iround(static_cast<T>(-1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lround(static_cast<T>(-1e20)), boost::math::rounding_error);
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_MATH_CHECK_THROW(llround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(llround(static_cast<T>(-1e20)), boost::math::rounding_error);
+#endif
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(round(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(llround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(llround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(round(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(llround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #endif
+   }
+   BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+#endif
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(trunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(lltrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lltrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(trunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(lltrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>((std::numeric_limits<int>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>((std::numeric_limits<int>::min)()) - 1), boost::math::rounding_error);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>((std::numeric_limits<long>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>((std::numeric_limits<long>::min)()) - 1), boost::math::rounding_error);
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()) - 1), boost::math::rounding_error);
+   }
+#endif
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(iround(static_cast<T>((std::numeric_limits<int>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(static_cast<T>((std::numeric_limits<int>::min)()) - 1), boost::math::rounding_error);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(lround(static_cast<T>((std::numeric_limits<long>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(static_cast<T>((std::numeric_limits<long>::min)()) - 1), boost::math::rounding_error);
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()) - 1), boost::math::rounding_error);
+   }
+#endif
+   //
+   // try non-throwing error handlers:
+   //
+   boost::math::policies::policy<boost::math::policies::rounding_error<boost::math::policies::ignore_error> > pol;
+
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_CHECK_EQUAL(iround((std::numeric_limits<int>::max)() + T(1.0), pol), (std::numeric_limits<int>::max)());
+      BOOST_CHECK_EQUAL(iround((std::numeric_limits<int>::min)() - T(1.0), pol), (std::numeric_limits<int>::min)());
+      BOOST_CHECK_EQUAL(itrunc((std::numeric_limits<int>::max)() + T(1.0), pol), (std::numeric_limits<int>::max)());
+      BOOST_CHECK_EQUAL(itrunc((std::numeric_limits<int>::min)() - T(1.0), pol), (std::numeric_limits<int>::min)());
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_CHECK_EQUAL(lround((std::numeric_limits<long>::max)() + T(1.0), pol), (std::numeric_limits<long>::max)());
+      BOOST_CHECK_EQUAL(lround((std::numeric_limits<long>::min)() - T(1.0), pol), (std::numeric_limits<long>::min)());
+      BOOST_CHECK_EQUAL(ltrunc((std::numeric_limits<long>::max)() + T(1.0), pol), (std::numeric_limits<long>::max)());
+      BOOST_CHECK_EQUAL(ltrunc((std::numeric_limits<long>::min)() - T(1.0), pol), (std::numeric_limits<long>::min)());
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long long>::digits)
+   {
+      BOOST_CHECK_EQUAL(llround((std::numeric_limits<long long>::max)() + T(1.0), pol), (std::numeric_limits<long long>::max)());
+      BOOST_CHECK_EQUAL(llround((std::numeric_limits<long long>::min)() - T(1.0), pol), (std::numeric_limits<long long>::min)());
+      BOOST_CHECK_EQUAL(lltrunc((std::numeric_limits<long long>::max)() + T(1.0), pol), (std::numeric_limits<long long>::max)());
+      BOOST_CHECK_EQUAL(lltrunc((std::numeric_limits<long long>::min)() - T(1.0), pol), (std::numeric_limits<long long>::min)());
+   }
+#endif
+   // Again with bigger value:
+   T big = 1e20f;
+   BOOST_CHECK_EQUAL(iround(big, pol), (std::numeric_limits<int>::max)());
+   BOOST_CHECK_EQUAL(lround(big, pol), (std::numeric_limits<long>::max)());
+   BOOST_CHECK_EQUAL(iround(-big, pol), (std::numeric_limits<int>::min)());
+   BOOST_CHECK_EQUAL(lround(-big, pol), (std::numeric_limits<long>::min)());
+   BOOST_CHECK_EQUAL(itrunc(big, pol), (std::numeric_limits<int>::max)());
+   BOOST_CHECK_EQUAL(ltrunc(big, pol), (std::numeric_limits<long>::max)());
+   BOOST_CHECK_EQUAL(itrunc(-big, pol), (std::numeric_limits<int>::min)());
+   BOOST_CHECK_EQUAL(ltrunc(-big, pol), (std::numeric_limits<long>::min)());
+#ifndef BOOST_NO_LONG_LONG
+   BOOST_CHECK_EQUAL(llround(big, pol), (std::numeric_limits<long long>::max)());
+   BOOST_CHECK_EQUAL(llround(-big, pol), (std::numeric_limits<long long>::min)());
+   BOOST_CHECK_EQUAL(lltrunc(big, pol), (std::numeric_limits<long long>::max)());
+   BOOST_CHECK_EQUAL(lltrunc(-big, pol), (std::numeric_limits<long long>::min)());
+#endif
+
+   //
+   // Special cases that we know can go bad:
+   //
+   T half = 0.5f;
+   half = boost::math::float_prior(half);
+   test_round_number(half);
+   half = -0.5f;
+   half = boost::math::float_next(half);
+   test_round_number(half);
+
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      //
+      // Odd and even integer values:
+      //
+      T val;
+      for(int i = 2; i < std::numeric_limits<T>::max_exponent; ++i)
+      {
+         val = ldexp(T(1), i);
+         test_round_number(val);
+         ++val;
+         test_round_number(val);
+         val = -val;
+         test_round_number(val);
+         ++val;
+         test_round_number(val);
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_round(0.1F, "float");
+   test_round(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_round(0.1L, "long double");
+   test_round(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   // test rounding of direct predecessor/successor of 0.5/-0.5 for float and double
+   test_round_number(-0.4999999701976776123046875f);
+   BOOST_CHECK_EQUAL(boost::math::round(-0.4999999701976776123046875f), 0.0f);
+
+   test_round_number(0.4999999701976776123046875f);
+   BOOST_CHECK_EQUAL(boost::math::round(0.4999999701976776123046875f), 0.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-0.499999999999999944488848768742172978818416595458984375), 0.0);
+   test_round_number(-0.499999999999999944488848768742172978818416595458984375);
+
+   BOOST_CHECK_EQUAL(boost::math::round(0.499999999999999944488848768742172978818416595458984375), 0.0);
+   test_round_number(0.499999999999999944488848768742172978818416595458984375);
+
+   // test rounding of integer numbers on the edge of the float/double mantissa width
+   BOOST_CHECK_EQUAL(boost::math::round(-16777215.0f), -16777215.0f);
+   test_round_number(-16777215.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-16777213.0f), -16777213.0f);
+   test_round_number(-16777213.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-8388611.0f), -8388611.0f);
+   test_round_number(-8388611.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-8388609.0f), -8388609.0f);
+   test_round_number(-8388609.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(8388609.0f), 8388609.0f);
+   test_round_number(8388609.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(8388611.0f), 8388611.0f);
+   test_round_number(8388611.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(16777213.0f), 16777213.0f);
+   test_round_number(16777213.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(16777215.0f), 16777215.0f);
+   test_round_number(16777215.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-9007199254740993.0), -9007199254740993.0);
+   test_round_number(-9007199254740993.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-9007199254740991.0), -9007199254740991.0);
+   test_round_number(-9007199254740991.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-4503599627370499.0), -4503599627370499.0);
+   test_round_number(-4503599627370499.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-4503599627370497.0), -4503599627370497.0);
+   test_round_number(-4503599627370497.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(4503599627370497.0), 4503599627370497.0);
+   test_round_number(4503599627370497.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(4503599627370499.0), 4503599627370499.0);
+   test_round_number(4503599627370499.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(9007199254740991.0), 9007199254740991.0);
+   test_round_number(9007199254740991.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(9007199254740993.0), 9007199254740993.0);
+   test_round_number(9007199254740993.0);
+}
diff --git a/src/boost/libs/math/test/test_runs_test.cpp b/src/boost/libs/math/test/test_runs_test.cpp
new file mode 100644
index 00000000..94d5c5a2
--- /dev/null
+++ b/src/boost/libs/math/test/test_runs_test.cpp
@@ -0,0 +1,77 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/statistics/runs_test.hpp>
+
+using boost::math::statistics::runs_above_and_below_median;
+
+void test_agreement_with_r_randtests()
+{
+  // $R
+  // install.packages("randtests")
+  // library(randtests)
+  // earthden <- c(5.36, 5.29, 5.58, 5.65, 5.57, 5.53, 5.62, 5.29, 5.44, 5.34, 5.79,5.10, 5.27, 5.39, 5.42, 5.47, 5.63, 5.34, 5.46, 5.30, 5.75, 5.68, 5.85)
+  // h = runs.test(earthden)
+  // options(digits=18)
+  //> h$statistic
+  // -1.74772579501060576
+  // > h$p.value
+  // [1] 0.0805115199405023046
+  // median of v is 5.46, 23 elements.
+  std::vector<double> v{5.36, 5.29,
+                        5.58, 5.65, 5.57, 5.53, 5.62,
+                        5.29, 5.44, 5.34,
+                        5.79, 5.10,
+                        5.27, 5.39, 5.42,
+                        5.47, 5.63,
+                        5.34,
+                        5.46, /* median */
+                        5.30,
+                        5.75, 5.68, 5.85};
+  // v -> {-,-,+,+,+,+,+,-,-,-,+,+,-,-,-,+,+,-,-,+,+,+}, 8 runs.
+  double expected_statistic = -1.74772579501060576;
+  double expected_pvalue = 0.0805115199405023046;
+
+  auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+void test_doc_example()
+{
+    std::vector<double> v{5, 2, 0, 4, 7, 9, 10, 6, 1, 8, 3};
+    double expected_statistic = -0.670820393249936919;
+    double expected_pvalue = 0.502334954360502017;
+
+    auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+
+    CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+void test_constant_vector()
+{
+    std::vector<double> v{5,5,5,5,5,5,5};
+    auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+    double expected_pvalue = 0;
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+    if (!std::isnan(computed_statistic)) {
+        std::cerr << "Computed statistic is not a nan!\n";
+    }
+}
+
+int main()
+{
+    test_constant_vector();
+    test_agreement_with_r_randtests();
+    test_doc_example();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/test_sign.cpp b/src/boost/libs/math/test/test_sign.cpp
new file mode 100644
index 00000000..27ba7b79
--- /dev/null
+++ b/src/boost/libs/math/test/test_sign.cpp
@@ -0,0 +1,157 @@
+#define BOOST_TEST_MAIN// Copyright John Maddock 2008
+//  (C) Copyright Paul A. Bristow 2011 (added tests for changesign)
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/special_functions/sign.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spots(RealType /*T*/, const char* /*type_name*/)
+{
+   // Basic sanity checks.
+   RealType a = 0;
+   RealType b = 1;
+   RealType c = -1;
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(b), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::changesign)(c), RealType(+1));
+   BOOST_CHECK_EQUAL((boost::math::changesign)(a), RealType(0));
+
+   // Compare to formula for changsign(x) = copysign(x, signbit(x) ? 1.0 : -1.0)
+   BOOST_CHECK_EQUAL((boost::math::changesign)(b),
+      (boost::math::copysign)(b, (boost::math::signbit)(b) ? RealType(1.) : RealType(-1.) ));
+
+
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = 1;
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = -1;
+   BOOST_CHECK((boost::math::signbit)(a) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+   a = boost::math::tools::max_value<RealType>();
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = -boost::math::tools::max_value<RealType>();
+   BOOST_CHECK((boost::math::signbit)(a) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      a = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
+
+      a = -std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK((boost::math::signbit)(a) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
+   }
+#if !defined(__SUNPRO_CC) && !defined(BOOST_INTEL)
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   {
+      a = std::numeric_limits<RealType>::quiet_NaN();
+      BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      // BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
+      BOOST_CHECK((boost::math::signbit)((boost::math::changesign)(a)) != 0);
+
+      a = -std::numeric_limits<RealType>::quiet_NaN();
+      BOOST_CHECK((boost::math::signbit)(a) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+      //BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
+      BOOST_CHECK_EQUAL((boost::math::signbit)((boost::math::changesign)(a)), 0);
+
+   }
+#endif
+   //
+   // Try some extreme values:
+   //
+   a = boost::math::tools::min_value<RealType>();
+   b = -a;
+   c = -1;
+   BOOST_CHECK((boost::math::signbit)(a) == 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   BOOST_CHECK((boost::math::signbit)(b) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+   c = 1;
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+   //
+   // try denormalised values:
+   //
+   a /= 4;
+   if(a != 0)
+   {
+      b = -a;
+      c = -1;
+      BOOST_CHECK((boost::math::signbit)(a) == 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      BOOST_CHECK((boost::math::signbit)(b) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+      c = 1;
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+   }
+   a = boost::math::tools::max_value<RealType>() / 2;
+   b = -a;
+   c = -1;
+   BOOST_CHECK((boost::math::signbit)(a) == 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   BOOST_CHECK((boost::math::signbit)(b) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+   c = 1;
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F, "float"); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+   test_spots(0.0, "double"); // Test double. OK at decdigits 7, tolerance = 1e07 %
+   // long double support for the sign functions is considered "core" so we always test it
+   // even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double"); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0), "real_concept"); // Test real_concept.
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_signed_zero.cpp b/src/boost/libs/math/test/test_signed_zero.cpp
new file mode 100644
index 00000000..1e969f55
--- /dev/null
+++ b/src/boost/libs/math/test/test_signed_zero.cpp
@@ -0,0 +1,266 @@
+// Copyright 2006 Johan Rade
+// Copyright 2011 Paul A. Bristow  To incorporate into Boost.Math
+// Copyright 2012 Paul A. Bristow with new tests.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // Expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include "s_.ipp" // To create test strings like std::basic_string<CharType> s = S_("0 -0");
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+#include <ostream>
+#include <iostream>
+#include <iomanip>
+#include <limits>
+#include <iostream>
+
+namespace {
+
+  // Using an anonymous namespace resolves ambiguities on platforms
+  // with fpclassify etc functions at global scope.
+
+  using namespace boost::math;
+  using boost::math::signbit;
+  using boost::math::changesign;
+  using boost::math::isnan;
+
+  //------------------------------------------------------------------------------
+
+  template<class CharType, class ValType> void signed_zero_test_impl();
+  // Loopback tests using all built-in char and floating-point types.
+
+  BOOST_AUTO_TEST_CASE(signed_zero_test)
+  {
+    std::cout 
+      << "BuildInfo:" << '\n'
+      << "  platform "  << BOOST_PLATFORM << '\n'
+      << "  compiler "  << BOOST_COMPILER << '\n'
+      << "  STL "       << BOOST_STDLIB << '\n'
+      << "  Boost version " << BOOST_VERSION/100000     << "."
+                            << BOOST_VERSION/100 % 1000 << "."
+                            << BOOST_VERSION % 100     
+    << std::endl;
+
+    signed_zero_test_impl<char, float>();
+    signed_zero_test_impl<char, double>();
+    signed_zero_test_impl<char, long double>();
+    signed_zero_test_impl<wchar_t, float>();
+    signed_zero_test_impl<wchar_t, double>();
+    signed_zero_test_impl<wchar_t, long double>();
+  }
+
+  template<class CharType, class ValType> void signed_zero_test_impl()
+  {
+
+
+    if (signbit(static_cast<CharType>(-1e-6f) / (std::numeric_limits<CharType>::max)()) != -0)
+    {
+      BOOST_TEST_MESSAGE("Signed zero is not supported on this platform!");
+      return;
+    }
+
+    std::locale old_locale;
+    std::locale tmp_locale(
+      old_locale, new nonfinite_num_put<CharType>(signed_zero));
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    std::basic_string<CharType> null = S_("");
+
+    std::basic_string<CharType> s1 = S_("123");
+    ss << s1 << std::endl;
+    ss.str(null);
+
+
+    BOOST_CHECK(ss.str() == null);  //
+
+    ValType a1 = static_cast<ValType>(0); // zero.
+    ValType a2 = (changesign)(static_cast<ValType>(0)); // negative signed zero.
+    BOOST_CHECK(!(signbit)(a1)); //
+    BOOST_CHECK((signbit)(a2));
+
+    ss << a1 << ' ' << a2;
+
+    std::basic_string<CharType> s = S_("0 -0"); // Expected.
+    BOOST_CHECK(ss.str() == s);
+
+    ValType b1, b2;
+    ss >> b1 >> b2;  // Read back in.
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+  }  //   template<class CharType, class ValType> void signed_zero_test_impl()
+
+  // Checking output of types char using first default & then using signed_zero flag.
+#define CHECKOUT(manips, expected)\
+  {\
+    {\
+      std::locale old_locale;\
+      std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(0));\
+      std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+      std::ostringstream ss;\
+      ss.imbue(new_locale);\
+      ss << manips;\
+      std::basic_string<char> s = S_(expected);\
+      BOOST_CHECK_EQUAL(ss.str(), s);\
+    }\
+    {\
+      std::locale old_locale;\
+      std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(signed_zero));\
+      std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+      std::ostringstream ss;\
+      ss.imbue(new_locale);\
+      ss << manips;\
+      std::basic_string<char> s = S_(expected);\
+      BOOST_CHECK_EQUAL(ss.str(), s);\
+    }\
+  }\
+
+  BOOST_AUTO_TEST_CASE(misc_output_tests)
+  { // Tests of output using a variety of output options.
+
+     //
+     // STD libraries don't all format zeros the same, 
+     // so figure out what the library-specific formatting is
+     // and then make sure that our facet produces the same...
+     //
+     bool precision_after = false;  // Prints N digits after the point rather than N digits total
+     bool triple_exponent = false;  // Has 3 digits in the exponent rather than 2.
+     std::stringstream ss;
+     ss << std::showpoint << std::setprecision(6) << 0.0;
+     if(ss.str().size() == 8)
+        precision_after = true;
+     ss.str("");
+     ss << std::scientific << 0.0;
+     triple_exponent = ss.str().size() - ss.str().find_first_of('e') == 5;
+
+
+
+    // Positive zero.
+    CHECKOUT(0, "0"); // integer zero.
+    CHECKOUT(0., "0"); // double zero.
+    CHECKOUT(std::setw(2) << 0., " 0");
+    CHECKOUT(std::setw(4) << 0., "   0");
+    CHECKOUT(std::right << std::setw(4) << 0., "   0");
+    CHECKOUT(std::left << std::setw(4) << 0., "0   ");
+    CHECKOUT(std::setw(4) << std::setfill('*') << 0., "***0");
+    CHECKOUT(std::setw(4) << std::internal << std::setfill('*') << 0., "***0"); // left adjust sign and right adjust value.
+    CHECKOUT(std::showpos << std::setw(4) << std::internal << std::setfill('*') << 0., "+**0"); // left adjust sign and right adjust value.
+
+   if(precision_after)
+   {
+// BOOST_STDLIB == ("Dinkumware standard library version" BOOST_STRINGIZE(_CPPLIB_VER)) )
+    CHECKOUT(std::showpoint << 0., "0.000000"); //  std::setprecision(6)
+    CHECKOUT(std::setprecision(2) << std::showpoint << 0., "0.00");
+   }
+   else
+   {
+    CHECKOUT(std::showpoint << 0., "0.00000"); //  std::setprecision(6)
+    CHECKOUT(std::setprecision(2) << std::showpoint << 0., "0.0");
+   }
+    CHECKOUT(std::fixed << std::setw(5) << std::setfill('0') << std::setprecision(2) << 0., "00.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(2) << 0., "000.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(3) << 0., "00.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(3) << 0., "*0.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "0.00**");
+
+    CHECKOUT(std::showpos << 0., "+0");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "+0.00*");
+   if(triple_exponent)
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << 0., "0.0e+000**");
+   }
+   else
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << 0., "0.0e+00***"); 
+   }
+    CHECKOUT(std::fixed << std::showpoint << std::setw(6) << std::setfill('*') << std::setprecision(3) << std::left << 0., "0.000*");
+
+    double nz = (changesign)(static_cast<double>(0)); // negative signed zero.
+    CHECKOUT(nz, "-0");
+    // CHECKOUT(std::defaultfloat << nz, "-0"); Only for C++11
+    CHECKOUT(std::showpos << nz, "-0"); // Ignore showpos because is negative.
+    CHECKOUT(std::setw(2) << nz, "-0");
+    CHECKOUT(std::setw(4) << nz, "  -0");
+    CHECKOUT(std::right << std::setw(4) << nz, "  -0");
+    CHECKOUT(std::left << std::setw(4) << nz, "-0  ");
+    CHECKOUT(std::setw(4) << std::setfill('*') << nz, "**-0");
+    CHECKOUT(std::setw(4) << std::internal << std::setfill('*') << nz, "-**0"); // Use std::internal to left adjust sign and right adjust value.
+    CHECKOUT(std::showpos << std::setw(4) << std::internal << std::setfill('*') << nz, "-**0");
+
+    CHECKOUT(std::fixed << std::setw(5) << std::setfill('0') << std::setprecision(2) << 0., "00.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(2) << 0., "000.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(3) << 0., "00.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(3) << 0., "*0.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "0.00**");
+    CHECKOUT(std::setprecision(2) << nz, "-0"); // No showpoint, so no decimal point nor trailing zeros.
+   if(precision_after)
+   {
+    CHECKOUT(std::setprecision(2) << std::showpoint << nz, "-0.00"); // or "-0.0"
+    CHECKOUT(std::setw(1) << std::setprecision(3) << std::showpoint << nz, "-0.000"); // Not enough width for precision overflows width.  or "-0.00"
+   }
+   else
+   {
+    CHECKOUT(std::setprecision(2) << std::showpoint << nz, "-0.0"); // or "-0.00"
+    CHECKOUT(std::setw(1) << std::setprecision(3) << std::showpoint << nz, "-0.00"); // Not enough width for precision overflows width.  or "-0.000"
+   }
+   if(triple_exponent)
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << nz, "-0.0e+000*"); // -0.0e+00**
+   }
+   else
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << nz, "-0.0e+00**"); // -0.0e+000*
+   }
+    CHECKOUT(std::fixed << std::showpoint << std::setw(6) << std::setfill('*') << std::setprecision(3) << std::left << 0., "0.000*");
+
+    // Non zero values.
+
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 42., "+42.00");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 4.2, "+4.20*");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 1.22, "+1.22*");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.12, "+0.12*");
+
+    CHECKOUT(std::setprecision(4) << std::showpoint << 1.2, "1.200");
+
+  }
+
+}   // anonymous namespace
+
+/*
+
+Output:
+
+test_signed_zero.cpp
+  Running 2 test cases...
+  Platform: Win32
+  Compiler: Microsoft Visual C++ version 10.0
+  STL     : Dinkumware standard library version 520
+  Boost   : 1.49.0
+  Entering test suite "Master Test Suite"
+  Entering test case "signed_zero_test"
+  Leaving test case "signed_zero_test"; testing time: 2ms
+  Entering test case "misc_output_tests"
+  Leaving test case "misc_output_tests"; testing time: 15ms
+  Leaving test suite "Master Test Suite"
+
+  *** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_sinc.cpp b/src/boost/libs/math/test/test_sinc.cpp
new file mode 100644
index 00000000..ad0eaeb9
--- /dev/null
+++ b/src/boost/libs/math/test/test_sinc.cpp
@@ -0,0 +1,110 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_sinc.hpp"
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the sinc_pi function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_close_to_transition()
+{
+   T transition = 3.3f * boost::math::tools::forth_root_epsilon<T>();
+   T val = transition;
+
+   for (unsigned i = 0; i < 100; ++i)
+   {
+      boost::multiprecision::cpp_bin_float_50 extended = val;
+      extended = sin(extended) / extended;
+      T expected = extended.template convert_to<T>();
+      T result = boost::math::sinc_pi(val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      result = boost::math::sinc_pi(-val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      val = boost::math::float_prior(val);
+   }
+   for (unsigned i = 0; i < 100; ++i)
+   {
+      boost::multiprecision::cpp_bin_float_50 extended = val;
+      extended = sin(extended) / extended;
+      T expected = extended.template convert_to<T>();
+      T result = boost::math::sinc_pi(val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      result = boost::math::sinc_pi(-val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      val = boost::math::float_next(val);
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+   expected_results();
+
+   test_sinc(0.1F, "float");
+   test_close_to_transition<float>();
+   test_sinc(0.1, "double");
+   test_close_to_transition<double>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_sinc(0.1L, "long double");
+   test_close_to_transition<long double>();
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_sinc(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_sinc.hpp b/src/boost/libs/math/test/test_sinc.hpp
new file mode 100644
index 00000000..6f169ffd
--- /dev/null
+++ b/src/boost/libs/math/test/test_sinc.hpp
@@ -0,0 +1,64 @@
+// Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_sinc(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(DIGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sinc_pi<value_type>;
+#else
+   pg funcp = boost::math::sinc_pi;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sinc against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sinc_pi", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_sinc(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "sinc_data.ipp"
+
+   do_test_sinc<T>(sinc_data, name, "Sinc Function");
+}
+
diff --git a/src/boost/libs/math/test/test_skew_normal.cpp b/src/boost/libs/math/test/test_skew_normal.cpp
new file mode 100644
index 00000000..2459ebb4
--- /dev/null
+++ b/src/boost/libs/math/test/test_skew_normal.cpp
@@ -0,0 +1,529 @@
+// Copyright Paul A. Bristow 2012.
+// Copyright John Maddock 2012.
+// Copyright Benjamin Sobotta 2012
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4305) // 'initializing' : truncation from 'double' to 'const float'.
+#  pragma warning (disable : 4310) // cast truncates constant value.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#endif
+
+//#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/skew_normal.hpp>
+using boost::math::skew_normal_distribution;
+using boost::math::skew_normal;
+#include <boost/math/tools/test.hpp> 
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+#include "test_out_of_range.hpp"
+
+template <class RealType>
+void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+{
+ using boost::math::skew_normal_distribution;
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(   // Check cdf
+    skew_normal_distribution<RealType>(mean, scale, shape),      // distribution.
+    x),    // random variable.
+    p,     // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf( // Check cdf complement
+    complement( 
+    skew_normal_distribution<RealType>(mean, scale, shape),   // distribution.
+    x)),   // random variable.
+    q,      // probability complement.
+    tol);    // %tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile
+    skew_normal_distribution<RealType>(mean, scale, shape),    // distribution.
+    p),   // probability.
+    x,   // random variable.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile complement
+    complement(
+    skew_normal_distribution<RealType>(mean, scale, shape),   // distribution.
+    q)),   // probability complement.
+    x,     // random variable.
+    tol);  // tolerance.
+
+   skew_normal_distribution<RealType> dist (mean, scale, shape);
+
+   if((p < 0.999) && (q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, p), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+} // template <class RealType>void check_skew_normal()
+
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   RealType tolerance = 1e-4f; // 1e-4 (as %)
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, -1), std::domain_error); // negative sd
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, -1), std::domain_error); // negative sd
+#endif
+  // Tests on extreme values of random variate x, if has numeric_limit infinity etc.
+    skew_normal_distribution<RealType> N01;
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(pdf(N01, +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+    BOOST_CHECK_EQUAL(pdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+    BOOST_CHECK_EQUAL(cdf(N01, +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+    BOOST_CHECK_EQUAL(cdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+
+  BOOST_CHECK_EQUAL(mean(N01), 0);
+  BOOST_CHECK_EQUAL(mode(N01), 0);
+  BOOST_CHECK_EQUAL(variance(N01), 1);
+  BOOST_CHECK_EQUAL(skewness(N01), 0);
+  BOOST_CHECK_EQUAL(kurtosis_excess(N01), 0);
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // Tests where shape = 0, so same as normal tests.
+   // (These might be removed later).
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(4.8),
+      static_cast<RealType>(0.46017),
+      static_cast<RealType>(1 - 0.46017),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(5.2),
+      static_cast<RealType>(1 - 0.46017),
+      static_cast<RealType>(0.46017),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(0.08076),
+      static_cast<RealType>(1 - 0.08076),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(7.8),
+      static_cast<RealType>(1 - 0.08076),
+      static_cast<RealType>(0.08076),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-4.5),
+      static_cast<RealType>(0.38209),
+      static_cast<RealType>(1 - 0.38209),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-1.5),
+      static_cast<RealType>(1 - 0.38209),
+      static_cast<RealType>(0.38209),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-8.5),
+      static_cast<RealType>(0.13567),
+      static_cast<RealType>(1 - 0.13567),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(2.5),
+      static_cast<RealType>(1 - 0.13567),
+      static_cast<RealType>(0.13567),
+      tolerance);
+
+   // Tests where shape != 0, specific to skew_normal distribution.
+   //void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+      check_skew_normal( // 1st R example.
+      static_cast<RealType>(1.1),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(-3.3),
+      static_cast<RealType>(0.4), // x
+      static_cast<RealType>(0.733918618927874), // p == psn
+      static_cast<RealType>(1 - 0.733918618927874), // q 
+      tolerance);
+
+   // Not sure about these yet.
+      //check_skew_normal( // 2nd R example.
+      //static_cast<RealType>(1.1),
+      //static_cast<RealType>(0.02),
+      //static_cast<RealType>(0.03),
+      //static_cast<RealType>(1.3), // x
+      //static_cast<RealType>(0.01), // p
+      //static_cast<RealType>(0.09), // q
+      //tolerance);
+      //check_skew_normal( // 3nd R example.
+      //static_cast<RealType>(10.1),
+      //static_cast<RealType>(5.),
+      //static_cast<RealType>(-0.03),
+      //static_cast<RealType>(-1.3), // x
+      //static_cast<RealType>(0.01201290665838824), // p
+      //static_cast<RealType>(1. - 0.01201290665838824), // q 0.987987101
+      //tolerance);
+
+    // Tests for PDF: we know that the normal peak value is at 1/sqrt(2*pi)
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(), static_cast<RealType>(0)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L),
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3, 5), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+   // Shape != 0.
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3,5,1e-6), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+
+   // Checks on mean, variance cumulants etc.
+   // Checks on shape ==0
+
+    RealType tol5 = boost::math::tools::epsilon<RealType>() * 5;
+    skew_normal_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+
+    BOOST_MATH_STD_USING // ADL of std math lib names
+
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol5);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(9), tol5);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(3), tol5);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol5);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol5);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol5);
+    // mode: 
+    BOOST_CHECK_CLOSE_FRACTION(mode(dist), static_cast<RealType>(8), 0.001f);
+
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(8), tol5);
+
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol5);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(3), tol5);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(0), tol5);
+
+    skew_normal_distribution<RealType> norm01(0, 1); // Test default (0, 1)
+    BOOST_CHECK_CLOSE(
+       mean(norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    skew_normal_distribution<RealType> defsd_norm01(0); // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(defsd_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    skew_normal_distribution<RealType> def_norm01; // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(def_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    BOOST_CHECK_CLOSE(
+       standard_deviation(def_norm01),
+       static_cast<RealType>(1), 0);  // 
+
+    BOOST_CHECK_CLOSE(
+       mode(def_norm01),
+       static_cast<RealType>(0), 0); // Mode == zero
+
+
+    // Skew_normal tests with shape != 0.
+    {
+      // Note these tolerances are expressed as percentages, hence the extra * 100 on the end:
+      RealType tol10 = boost::math::tools::epsilon<RealType>() * 10 * 100;
+      RealType tol100 = boost::math::tools::epsilon<RealType>() * 100 * 100;
+
+      //skew_normal_distribution<RealType> dist(1.1, 0.02, 0.03);
+
+      BOOST_MATH_STD_USING // ADL of std math lib names.
+
+      // Test values from R = see skew_normal_drv.cpp which included the R code used.
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(2.2l), static_cast<RealType>(-3.3l));
+
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(-0.579908992539856825862549L), tol10 * 2);
+
+        std::cout << std::setprecision(17) << "Variance = " << variance(dist) << std::endl;
+         BOOST_CHECK_CLOSE(      // variance: N[variance[skewnormaldistribution[1.1, 2.2, -3.3]], 50]
+          variance(dist)
+          , static_cast<RealType>(2.0179057767837232633904061072049998357047989154484L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(-0.709854548171537509192897824663L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.5538752625241790601377L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(0.5538752625241790601377L), tol100);
+
+        BOOST_CHECK_CLOSE(
+          pdf(dist, static_cast<RealType>(0.4L)),
+          static_cast<RealType>(0.294140110156599539564571L),
+          tol10);
+
+        BOOST_CHECK_CLOSE(
+          cdf(dist, static_cast<RealType>(0.4L)),
+          static_cast<RealType>(0.7339186189278737976326676452L),
+          tol100);
+
+        BOOST_CHECK_CLOSE(
+          quantile(dist, static_cast<RealType>(0.3L)),
+          static_cast<RealType>(-1.180104068086875314419247L),
+          tol100);
+
+
+      { // mode tests
+
+           dist = skew_normal_distribution<RealType>(static_cast<RealType>(0.l), static_cast<RealType>(1.l), static_cast<RealType>(4.l));
+
+       // cout << "pdf(dist, 0) = " << pdf(dist, 0) <<  ", pdf(dist, 0.45) = " << pdf(dist, 0.45) << endl;
+       // BOOST_CHECK_CLOSE(mode(dist), boost::math::constants::root_two<RealType>() / 2, tol5);
+        BOOST_CHECK_CLOSE(mode(dist), static_cast<RealType>(0.41697299497388863932L), tol100);
+      }
+
+
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(0.02l), static_cast<RealType>(0.03l));
+
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(1.1004785154529557886162L), tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+           , static_cast<RealType>(0.00039977102296128251645L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(5.8834811259890359782e-006L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(10.1l), static_cast<RealType>(5.l), static_cast<RealType>(-0.03l));
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(9.9803711367610528459485937L), tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+           , static_cast<RealType>(24.98568893508015727823L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(-5.8834811259890359782085e-006L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(-10.1l), static_cast<RealType>(5.l), static_cast<RealType>(30.l));
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(-6.11279169674138408531365L), 2 * tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+          , static_cast<RealType>(9.10216994642554914628242L), tol10 * 2);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(0.99072425443686904424L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 0.8638862008406084244563L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(0.8638862008406084244563L), tol100);
+      }
+
+      BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, 0, 0), 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, -1, 0), 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), -1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), 2), std::domain_error);
+      check_out_of_range<skew_normal_distribution<RealType> >(1, 1, 1);
+    }
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+
+  using boost::math::skew_normal;
+  using boost::math::skew_normal_distribution;
+
+  //int precision = 17; // std::numeric_limits<double::max_digits10;
+  double tolfeweps = numeric_limits<double>::epsilon() * 5;
+  //double tol6decdigits = numeric_limits<float>::epsilon() * 2;
+  // Check that can generate skew_normal distribution using the two convenience methods:
+  boost::math::skew_normal w12(1., 2); // Using typedef.
+  boost::math::skew_normal_distribution<> w01; // Use default unity values for mean and scale.
+  // Note NOT myn01() as the compiler will interpret as a function!
+
+  // Checks on constructors.
+  // Default parameters.
+  BOOST_CHECK_EQUAL(w01.location(), 0);
+  BOOST_CHECK_EQUAL(w01.scale(), 1);
+  BOOST_CHECK_EQUAL(w01.shape(), 0);
+
+  skew_normal_distribution<> w23(2., 3); // Using default RealType double.
+  BOOST_CHECK_EQUAL(w23.scale(), 3);
+  BOOST_CHECK_EQUAL(w23.shape(), 0);
+
+  skew_normal_distribution<> w123(1., 2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(w123.location(), 1.);
+  BOOST_CHECK_EQUAL(w123.scale(), 2.);
+  BOOST_CHECK_EQUAL(w123.shape(), 3.);
+
+  BOOST_CHECK_CLOSE_FRACTION(mean(w01), static_cast<double>(0), tolfeweps); // Default mean == zero
+  BOOST_CHECK_CLOSE_FRACTION(scale(w01), static_cast<double>(1), tolfeweps); // Default scale == unity
+
+  // Basic sanity-check spot values for all floating-point types..
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  /*      */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_spherical_harmonic.cpp b/src/boost/libs/math/test/test_spherical_harmonic.cpp
new file mode 100644
index 00000000..fb33acdd
--- /dev/null
+++ b/src/boost/libs/math/test/test_spherical_harmonic.cpp
@@ -0,0 +1,131 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "test_spherical_harmonic.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Spherical Harmonic Functions.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<long double>::digits <= 64) &&
+      (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 15, 5);                  // test function
+   }
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 30000, 1000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 30000, 1000);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_spherical_harmonic(0.1F, "float");
+   test_spherical_harmonic(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spherical_harmonic(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spherical_harmonic(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_spherical_harmonic.hpp b/src/boost/libs/math/test/test_spherical_harmonic.hpp
new file mode 100644
index 00000000..0fe578ee
--- /dev/null
+++ b/src/boost/libs/math/test/test_spherical_harmonic.hpp
@@ -0,0 +1,213 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+
+template <class Real, class T>
+void do_test_spherical_harmonic(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(unsigned, int, value_type, value_type);
+#ifdef SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST
+   pg funcp = SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::spherical_harmonic_r<value_type, value_type>;
+#else
+   pg funcp = boost::math::spherical_harmonic_r;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test Spheric Harmonic against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2, 3),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_r", test_name);
+#endif
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST))
+
+#ifdef SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST
+   funcp = SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::spherical_harmonic_i<value_type, value_type>;
+#else
+   funcp = boost::math::spherical_harmonic_i;
+#endif
+   //
+   // test Spheric Harmonic against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2, 3),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_i", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void test_complex_spherical_harmonic(const T& data, const char* /* name */, boost::mpl::true_ const &)
+{
+   typedef Real                   value_type;
+
+   for(unsigned i = 0; i < sizeof(data) / sizeof(data[0]); ++i)
+   {
+      //
+      // Sanity check that the complex version does the same thing as the real
+      // and imaginary versions:
+      //
+      std::complex<value_type> r = boost::math::spherical_harmonic(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      value_type re = boost::math::spherical_harmonic_r(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      value_type im = boost::math::spherical_harmonic_i(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      BOOST_CHECK_CLOSE_FRACTION(std::real(r), re, value_type(5));
+      BOOST_CHECK_CLOSE_FRACTION(std::imag(r), im, value_type(5));
+   }
+}
+
+template <class Real, class T>
+void test_complex_spherical_harmonic(const T& /* data */, const char* /* name */, boost::mpl::false_ const &)
+{
+   // T is not a built in type, can't use std::complex with it...
+}
+
+template <class T>
+void test_spherical_harmonic(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // 6 items, the 4 input values, plus the real and imaginary results:
+   //
+#  include "spherical_harmonic.ipp"
+
+   do_test_spherical_harmonic<T>(spherical_harmonic, name, "Spherical Harmonics");
+
+   test_complex_spherical_harmonic<T>(spherical_harmonic, name, boost::is_floating_point<T>());
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(3, 2, static_cast<T>(0.5), static_cast<T>(0)), static_cast<T>(0.2061460599687871330692286791802688341213L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.06197787102219208244041677775577045124092L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.04629885158895932341185988759669916977920L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance);
+
+   BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_r(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_i(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0));
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(-0.0008147976618889536159592309471859037113647L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(0.0002099802242493057018193798824353982612756L), tolerance);
+}
diff --git a/src/boost/libs/math/test/test_students_t.cpp b/src/boost/libs/math/test/test_students_t.cpp
new file mode 100644
index 00000000..1f12b998
--- /dev/null
+++ b/src/boost/libs/math/test/test_students_t.cpp
@@ -0,0 +1,770 @@
+// Copyright Paul A. Bristow 2006, 2017.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_students_t.cpp
+
+// http://en.wikipedia.org/wiki/Student%27s_t_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3664.htm
+
+// Basic sanity test for Student's t probability (quantile) (0. < p < 1).
+// and Student's t probability Quantile (0. < p < 1).
+
+#ifdef _MSC_VER
+#  pragma warning (disable :4127) // conditional expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/tools/test.hpp> // for real_concept
+#include "test_out_of_range.hpp"
+#include <boost/math/distributions/students_t.hpp>
+    using boost::math::students_t_distribution;
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType t)
+{
+   // Calculate the pdf of the students t in a deliberately
+   // naive way, using equation (5) from
+   // http://mathworld.wolfram.com/Studentst-Distribution.html
+   // This is equivalent to, but a different method
+   // to the one in the actual implementation, so can be used as
+   // a very basic sanity check.  However some published values
+   // would be nice....
+
+   using namespace std;  // for ADL
+   using boost::math::beta;
+
+   //return pow(v / (v + t*t), (1+v) / 2) / (sqrt(v) * beta(v/2, RealType(0.5f)));
+   RealType result = boost::math::tgamma_ratio((v+1)/2, v/2);
+   result /= sqrt(v * boost::math::constants::pi<RealType>());
+   result /= pow(1 + t*t/v, (v+1)/2);
+   return result;
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks
+
+   RealType tolerance = static_cast<RealType>(1e-4); // 1e-6 (as %)
+   // Some tests only pass at 1e-5 because probability value is less accurate,
+   // a digit in 6th decimal place, although calculated using
+   // a t-distribution generator (claimed 6 decimal digits) at
+  // http://faculty.vassar.edu/lowry/VassarStats.html
+   // http://faculty.vassar.edu/lowry/tsamp.html
+   // df = 5, +/-t = 2.0, 1-tailed = 0.050970, 2-tailed = 0.101939
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // http://en.wikipedia.org/wiki/Student%27s_t_distribution#Table_of_selected_values
+  // Using tabulated value of t = 3.182 for 0.975, 3 df, one-sided.
+
+   // http://www.mth.kcl.ac.uk/~shaww/web_page/papers/Tdistribution06.pdf refers to:
+
+   // A lookup table of quantiles of the RealType distribution
+  // for 1 to 25 in steps of 0.1 is provided in CSV form at:
+  // www.mth.kcl.ac.uk/~shaww/web_page/papers/Tsupp/tquantiles.csv
+   // gives accurate t of -3.1824463052837 and 3 degrees of freedom.
+   // Values below are from this source, saved as tquantiles.xls.
+   // DF are across the columns, probabilities down the rows
+   // and the t- values (quantiles) are shown.
+   // These values are probably accurate to nearly 64-bit double
+  // (perhaps 14 decimal digits).
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(2),       // degrees_of_freedom
+         static_cast<RealType>(-6.96455673428326)),  // t
+         static_cast<RealType>(0.01),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5),       // degrees_of_freedom
+         static_cast<RealType>(-3.36492999890721)),  // t
+         static_cast<RealType>(0.01),                // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(1),      // degrees_of_freedom
+         static_cast<RealType>(-31830.988607907)),  // t
+         static_cast<RealType>(0.00001),            // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(25.),    // degrees_of_freedom
+         static_cast<RealType>(-5.2410429995425)),  // t
+         static_cast<RealType>(0.00001),            // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(1),   // degrees_of_freedom
+         static_cast<RealType>(-63661.97723)),   // t
+         static_cast<RealType>(0.000005),        // probability.
+         tolerance);
+
+    BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-17.89686614)),   // t
+         static_cast<RealType>(0.000005),        // probability.
+         tolerance);
+
+    BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(25.),  // degrees_of_freedom
+         static_cast<RealType>(-5.510848412)),    // t
+         static_cast<RealType>(0.000005),         // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10.),  // degrees_of_freedom
+         static_cast<RealType>(-1.812461123)),    // t
+         static_cast<RealType>(0.05),             // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10),  // degrees_of_freedom
+         static_cast<RealType>(1.812461123)),    // t
+         static_cast<RealType>(0.95),            // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            students_t_distribution<RealType>(10),  // degrees_of_freedom
+            static_cast<RealType>(1.812461123))),    // t
+         static_cast<RealType>(0.05),            // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10),  // degrees_of_freedom
+         static_cast<RealType>(9.751995491)),    // t
+         static_cast<RealType>(0.999999),        // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10.),  // degrees_of_freedom - for ALL degrees_of_freedom!
+         static_cast<RealType>(0.)),              // t
+         static_cast<RealType>(0.5),              // probability.
+         tolerance);
+
+
+   // Student's t Inverse function tests.
+  // Special cases
+
+  BOOST_MATH_CHECK_THROW(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0)), std::overflow_error); // t == -infinity.
+
+  BOOST_MATH_CHECK_THROW(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(1)), std::overflow_error); // t == +infinity.
+
+  BOOST_CHECK_EQUAL(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0.5)),  //  probability == half - special case.
+         static_cast<RealType>(0)); // t == zero.
+
+  BOOST_CHECK_EQUAL(boost::math::quantile(
+         complement(
+            students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+            static_cast<RealType>(0.5))),  //  probability == half - special case.
+         static_cast<RealType>(0)); // t == zero.
+
+  BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0.5)),  //  probability == half - special case.
+         static_cast<RealType>(0), // t == zero.
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p middling.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-0.559429644)),  // t
+         static_cast<RealType>(0.3), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.3)),  // probability.
+         static_cast<RealType>(-0.559429644), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            students_t_distribution<RealType>(5.),  // degrees_of_freedom
+            static_cast<RealType>(0.7))),  // probability.
+         static_cast<RealType>(-0.559429644), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p high.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(1.475884049)),  // t
+         static_cast<RealType>(0.9), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.9)),  // probability.
+         static_cast<RealType>(1.475884049), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p low.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-1.475884049)),  // t
+         static_cast<RealType>(0.1), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.1)),  // probability.
+         static_cast<RealType>(-1.475884049), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(2.),  // degrees_of_freedom
+         static_cast<RealType>(-6.96455673428326)),  // t
+         static_cast<RealType>(0.01), // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(2.),  // degrees_of_freedom
+         static_cast<RealType>(0.01)),  // probability.
+         static_cast<RealType>(-6.96455673428326), // t
+         tolerance);
+
+      //
+      // Some special tests to exercise the double-precision approximations
+      // to the quantile:
+      //
+      // tolerance is 50 eps expressed as a persent:
+      //
+      tolerance = boost::math::tools::epsilon<RealType>() * 5000;
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.00390625L),                     // degrees_of_freedom.
+         static_cast<RealType>(0.5625L)),                                    //  probability.
+         static_cast<RealType>(0.178133131573788108465134803511798566L),     // t.
+         tolerance);      
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-10.1531703876088604621071476634194722L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(2.41421356237309504880168872421390942L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-3.81000381000571500952501666878143315L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.60356745147454630810732088527854144L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(4L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.56208431914409044861223047927635034L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(4L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.34439755550909142430681981315923574L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(6L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.28348667906973065861212495010082952L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(6L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.27334930914664286821103236660071906L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(8L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.16296475406014719458642055768894376L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(8L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.24031826078267310637634677726479038L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(10L),                             // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.09596136475109350926340169211429572L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(10L),                         // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                 //  probability.
+         static_cast<RealType>(1.2212553950039221407185188573696834L),   // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.125L),                          // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-3.62246031671091980110493455859296532L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.125L),                        // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.56905270993307293450392958697861969L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(3L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.90004411882995814036141778367917946L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(3L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.42262528146180931868169289781115099L),    // t.
+         tolerance);
+
+      if(boost::is_floating_point<RealType>::value)
+      {
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(1e30f), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(1e30f), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(1e20f), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(1e20f), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x7FFFFFFF)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x7FFFFFFF)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x10000000)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x10000000)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x0fffffff)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x0fffffff)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+      }
+
+  // Student's t pdf tests.
+  // for PDF checks, use 100 eps tolerance expressed as a percent:
+   tolerance = boost::math::tools::epsilon<RealType>() * 10000;
+
+   for(unsigned i = 1; i < 20; i += 3)
+   {
+      for(RealType r = -10; r < 10; r += 0.125)
+      {
+         //std::cout << "df=" << i << " t=" << r << std::endl;
+         BOOST_CHECK_CLOSE(
+            boost::math::pdf(
+               students_t_distribution<RealType>(static_cast<RealType>(i)),
+               r),
+            naive_pdf<RealType>(static_cast<RealType>(i), r),
+            tolerance);
+      }
+   }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5;
+    students_t_distribution<RealType> dist(8);
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(0), tol2);
+    // variance:
+ //   BOOST_CHECK_CLOSE(
+ //      variance(dist)
+ //      , static_cast<RealType>(13.0L / 6.0L), tol2);
+ //// was     , static_cast<RealType>(8.0L / 6.0L), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(sqrt(8.0L / 6.0L)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_MATH_CHECK_THROW(
+       coefficient_of_variation(dist),
+       std::overflow_error);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(0), tol2);
+    // median:
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(0), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(4.5), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(1.5), tol2);
+
+    // Parameter estimation. These results are close to but
+    // not identical to those reported on the NIST website at
+    // http://www.itl.nist.gov/div898/handbook/prc/section2/prc222.htm
+    // the NIST results appear to be calculated using a normal
+    // approximation, which slightly under-estimates the degrees of
+    // freedom required, particularly when the result is small.
+    //
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.005),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         99);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.005),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         14);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.025),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         76);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.025),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         11);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.05),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         65);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.05),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         9);
+
+    // Test for large degrees of freedom when should be same as normal.
+    RealType inf = std::numeric_limits<RealType>::infinity();
+    RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+    std::string type = typeid(RealType).name();
+//    if (type != "class boost::math::concepts::real_concept") fails for gcc
+    if (typeid(RealType) != typeid(boost::math::concepts::real_concept))
+    { // Ordinary floats only.
+      RealType limit = 1/ boost::math::tools::epsilon<RealType>();
+      // Default policy to get full accuracy.
+      // std::cout << "Switch over to normal if df > " << limit << std::endl;
+      // float Switch over to normal if df > 8.38861e+006
+      // double Switch over to normal if df > 4.5036e+015
+      // Can't test real_concept - doesn't converge.
+
+      boost::math::normal_distribution<RealType> n(0, 1); // 
+      students_t_distribution<RealType> st(boost::math::tools::max_value<RealType>()); // Well over the switchover point,
+      // PDF
+      BOOST_CHECK_EQUAL(pdf(st, 0), pdf(n, 0.)); // Should be exactly equal.
+
+      students_t_distribution<RealType> st2(limit /5 ); // Just below the switchover point,
+      BOOST_CHECK_CLOSE_FRACTION(pdf(st2, 0), pdf(n, 0.), tolerance); // Should be very close to normal.
+      // CDF
+      BOOST_CHECK_EQUAL(cdf(st, 0), cdf(n, 0.)); // Should be exactly equal.
+      BOOST_CHECK_CLOSE_FRACTION(cdf(st2, 0), cdf(n, 0.), tolerance); // Should be very close to normal.
+
+      // Tests for df = infinity.
+      students_t_distribution<RealType> infdf(inf);
+      BOOST_CHECK_EQUAL(infdf.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(mean(infdf), 0); // OK.
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(-inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(-nan), std::domain_error);
+#endif
+      BOOST_CHECK_EQUAL(pdf(infdf, -inf), 0);
+      BOOST_CHECK_EQUAL(pdf(infdf, +inf), 0);
+      BOOST_CHECK_EQUAL(cdf(infdf, -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(infdf, +inf), 1);
+
+     // BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), static_cast<RealType>(0.3989422804014326779399460599343818684759L), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0),boost::math::constants::one_div_root_two_pi<RealType>() , tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(infdf, 0),boost::math::constants::half<RealType>() , tolerance);
+
+    // Checks added for Trac #7717 report by Thomas Mang.
+
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, 2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(students_t_distribution<RealType>(0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(students_t_distribution<RealType>(-1), 0), std::domain_error);
+  
+    // Check on df for mean (moment k = 1)
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(nan)), std::domain_error);
+//    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(inf)), std::domain_error); inf is now OK
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(1)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(mean(students_t_distribution<RealType>(2)), 0); // OK.
+    BOOST_CHECK_EQUAL(mean(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for variance (moment 2)
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(nan)), std::domain_error);
+//    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(inf)), std::domain_error); // inf is now OK.
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(static_cast<RealType>(1.99999L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(static_cast<RealType>(1.99999L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(2)), std::domain_error); // df == 
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(2.5)), 5); // OK.
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(3)), 3); // OK.
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(inf)), 1); // OK.
+
+    // Check on df for skewness (moment 3)
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(1.5L)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(3)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(3.5)), 0); // OK.
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(4)), 0); // OK.
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for kurtosis_excess (moment 4)
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(1.5L)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(static_cast<RealType>(2.1))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(3)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(4)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(kurtosis_excess(students_t_distribution<RealType>(5)), 6); // OK.
+    BOOST_CHECK_EQUAL(kurtosis_excess(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for kurtosis (moment 4)
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(1)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(static_cast<RealType>(2.0001L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(3)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(4)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(kurtosis(students_t_distribution<RealType>(5)), 9); // OK.
+    BOOST_CHECK_EQUAL(kurtosis(students_t_distribution<RealType>(inf)), 3); // OK.
+
+   }
+
+
+    // Use a new distribution ignore_error_students_t with a custom policy to ignore all errors,
+    // and check returned values are as expected.
+
+    /* 
+     Sandia-darwin-intel-12.0 - math - test_students_t / intel-darwin-12.0
+    ../libs/math/test/test_students_t.cpp(544): error: "domain_error" has already been declared in the current scope
+    using boost::math::policies::domain_error;
+
+../libs/math/test/test_students_t.cpp(552): error: "pole_error" has already been declared in the current scope
+    using boost::math::policies::pole_error;
+
+    Unclear where previous declaration is. 
+    Does not seem to be in student_t.hpp or any included files???
+
+    So to avoid this perceived problem by this compiler,
+    the ignore policy below uses fully specified names.
+    */
+
+    using boost::math::policies::policy;
+  // Types of error whose action can be altered by policies:.
+  //using boost::math::policies::evaluation_error;
+  //using boost::math::policies::domain_error;
+  //using boost::math::policies::overflow_error;
+  //using boost::math::policies::underflow_error;
+  //using boost::math::policies::domain_error;
+  //using boost::math::policies::pole_error;
+
+  //// Actions on error (in enum error_policy_type):
+  //using boost::math::policies::errno_on_error;
+  //using boost::math::policies::ignore_error;
+  //using boost::math::policies::throw_on_error;
+  //using boost::math::policies::denorm_error;
+  //using boost::math::policies::pole_error;
+  //using boost::math::policies::user_error;
+
+  typedef policy<
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+              > my_ignore_policy;
+
+  typedef students_t_distribution<RealType, my_ignore_policy> ignore_error_students_t;
+
+
+
+  // Only test NaN and infinity if type has these features (realconcept returns zero).
+  // Integers are always converted to RealType,
+  // others requires static cast to RealType from long double.
+
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+  // Mean
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(1))));
+
+    // Variance
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(static_cast<RealType>(1.7L)))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(2))));
+
+  // Skewness
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(3))));
+
+  // Kurtosis 
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(3))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(4))));
+ 
+    // Kurtosis excess
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(3))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(4))));
+  } // has_quiet_NaN
+
+  BOOST_CHECK(boost::math::isfinite(mean(ignore_error_students_t(1 + std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(2 + 2 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(2 + 2 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(skewness(ignore_error_students_t(3 + 3 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_students_t(4 + 4 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_students_t(static_cast<RealType>(4.0001L)))));
+
+  // check_out_of_range<students_t_distribution<RealType> >(1);
+  // Cannot be used because fails "exception std::domain_error is expected but not raised" 
+  // if df = +infinity is allowed, must use new version that allows skipping infinity tests.
+  // Infinite == true
+
+  check_support<students_t_distribution<RealType> >(students_t_distribution<RealType>(1), true);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct students_t distribution using the two convenience methods:
+  using namespace boost::math;
+  students_t myst1(2); // Using typedef
+  students_t_distribution<> myst2(2); // Using default RealType double.
+   //students_t_distribution<double> myst3(2); // Using explicit RealType double.
+
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_students_t.exe"
+Running 1 test case...
+Tolerance for type float is 0.0001 %
+Tolerance for type double is 0.0001 %
+Tolerance for type long double is 0.0001 %
+Tolerance for type class boost::math::concepts::real_concept is 0.0001 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_t_test.cpp b/src/boost/libs/math/test/test_t_test.cpp
new file mode 100644
index 00000000..b3de5d3f
--- /dev/null
+++ b/src/boost/libs/math/test/test_t_test.cpp
@@ -0,0 +1,95 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/t_test.hpp>
+
+template<typename Real>
+void test_exact_mean()
+{
+    // Of course this test seems obvious, but just for the sake of comfort, here's the Mathematica to demo this test:
+    // data3 = RandomReal[NormalDistribution[], 1024];
+    // NumberForm[TTest[data3, Mean[data3], "TestStatistic"], 16]
+    // NumberForm[TTest[data3, Mean[data3], "PValue"], 16]
+    std::mt19937 gen{5125122};
+    std::normal_distribution<Real> dis{0,3};
+    std::vector<Real> v(1024);
+    for (auto & x : v) {
+      x = dis(gen);
+    }
+
+    Real mu = boost::math::statistics::mean(v);
+
+    auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, mu);
+
+    CHECK_MOLLIFIED_CLOSE(Real(0), computed_statistic, 10*std::numeric_limits<Real>::epsilon());
+    CHECK_ULP_CLOSE(Real(1), computed_pvalue, 9);
+}
+
+void test_agreement_with_mathematica()
+{
+    // Reproduce via:
+    //data = RandomReal[NormalDistribution[], 128];
+    //NumberForm[data, 16]
+    //NumberForm[TTest[data, 0.0, "TestStatistic"], 16]
+    //NumberForm[TTest[data, 0.0, "PValue"], 16]
+    std::vector<double> v{1.270498757865948,-0.7097895555907483,1.151445006538434,0.915648732663531,-0.7480131480881454,-0.6837323220203325,
+                          2.362877076786142,2.438188734959438,0.1644154283470843,-0.980857299461513,-0.1448627006957758,0.04901437671768214,
+                          -0.3895499730435337,1.412356512608596,-0.3865249523080916,-0.6159322168089271,-0.1865107372684944,-0.152509328597876,
+                          1.142603106429423,-1.358368106645048,0.2268475747885975,0.4029249376986136,0.1167407378850566,0.05532794835680535,
+                          -1.928794899326586,0.6496438708570567,0.269012797381103,-0.908168796067257,-0.6194990582309883,1.606256899489664,
+                          -0.903964536847682,-1.375889704354273,0.04906080087803202,0.2039077019578547,-0.4907377045195846,-0.4781929001716083,
+                          -0.2289802280011548,-1.339055086640687,-0.3120811524451416,0.06142580393246503,-0.140496390441262,-0.6482824149508374,
+                          -0.2944027976542998,1.619416512991051,0.6285648262611375,1.312636016409526,-1.109965359363169,-0.774547681114892,
+                          -0.344875897907528,0.816762481553918,0.1500701005574458,0.807790349338737,-0.2052962007348396,1.057657121384678,
+                          0.836142529983228,0.3432803448381389,-0.01268905497569333,-1.144036865790547,-0.4530056923174255,-0.3061160863293071,
+                          -0.02963689772198411,-1.33671649419749,-0.06052105439831394,0.973282554859066,-1.643904288065807,-1.0293884110541,
+                          -0.5291066659852803,-0.3294227039691209,0.002993387508002654,0.2248580674319177,0.574521694409057,1.041337304293327,
+                          0.4078548122453237,0.1112225876991191,-0.6448072259486091,-0.3051345048257077,0.089593933234481,0.4611768867673915,
+                          0.7644315320471444,-0.341247840010495,0.0326958894744302,-0.05121900335567795,-0.06019531049352196,1.71234441194424,
+                          -0.04175157932686885,0.769694813995503,-1.080913235981393,0.5989354496438777,-0.84416230123901,0.03165655009402087,
+                          -0.7502374585144876,-2.734748382516766,1.541068679878993,0.1054620771416859,-0.6543692934553028,1.499220114211276,
+                          -0.342006571062175,-0.2053132127077213,0.5457125644270833,-0.7956250897267784,0.7320742348115779,0.4674423735122585,
+                          -0.3087396963145776,-1.53764162258267,0.2455449906251891,0.3795993803250636,-0.1195480230909131,0.137639511052913,
+                          0.931721348902457,0.06704522870668304,-0.03773030445251862,0.3888322348695948,-0.06366757901233728,0.5563758371320388,
+                          -0.7918177216642121,-0.7566297580399533,-0.3740377818446702,-0.6065664299451118,-0.2341124269010213,2.028052675971757,
+                          0.378550889251416,0.816911727914731,1.162652387697876,-0.3853743867873177,1.196620648443396,0.01265660717000745,
+                          1.816698960862263,-0.972941421015463};
+
+
+    double expected_statistic = 0.4587075249160456;
+    double expected_pvalue = 0.6472282548266728;
+
+    auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, 0.0);
+
+    CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 8);
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 90);
+
+
+    {
+        std::vector<double> v = {0.7304375676969546,3.227250635039257,1.01821954205186};
+
+        expected_statistic = 2.103013485037935;
+        expected_pvalue = 0.1701790440880712;
+
+        auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, 0.0);
+        CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 2);
+        CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 7);
+    }
+}
+
+
+int main()
+{
+    test_agreement_with_mathematica();
+    test_exact_mean<float>();
+    test_exact_mean<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/test_tgamma_ratio.cpp b/src/boost/libs/math/test/test_tgamma_ratio.cpp
new file mode 100644
index 00000000..02fff3d6
--- /dev/null
+++ b/src/boost/libs/math/test/test_tgamma_ratio.cpp
@@ -0,0 +1,180 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_tgamma_ratio.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the gamma ratio functions tgamma_ratio,
+// and tgamma_delta_ratio. The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX
+   // This is a weird one, HP-UX and Mac OS X show up errors at float
+   // precision, that don't show up on other platforms.
+   // There appears to be some kind of rounding issue going on (not enough
+   // precision in the input to get the answer right):
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX|Mac OS|linux|.*(bsd|BSD).*",      // platform
+      "float",                          // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_ratio[^|]*", 35, 8);                 // test function
+   //
+   // Linux AMD x86em64 has slightly higher rates:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+   //
+   // Solaris:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 200, 100);                 // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_delta_ratio[^|]*", 30, 20);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 100, 50);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_delta_ratio[^|]*", 50, 20); // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",               // test data group
+      "[^|]*", 250, 150);                 // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_tgamma_ratio(0.1F, "float");
+#endif
+   test_tgamma_ratio(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_tgamma_ratio(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_tgamma_ratio(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.1F, "float");
+#endif
+   test_spots(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_tgamma_ratio.hpp b/src/boost/libs/math/test/test_tgamma_ratio.hpp
new file mode 100644
index 00000000..23f1946f
--- /dev/null
+++ b/src/boost/libs/math/test/test_tgamma_ratio.hpp
@@ -0,0 +1,183 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real>
+struct negative_tgamma_ratio
+{
+   template <class Row>
+   Real operator()(const Row& row)
+   {
+#ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
+      return TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST(Real(row[0]), Real(-Real(row[1])));
+#else
+      return boost::math::tgamma_delta_ratio(Real(row[0]), Real(-Real(row[1])));
+#endif
+   }
+};
+
+template <class Real, class T>
+void do_test_tgamma_delta_ratio(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma_delta_ratio<value_type, value_type>;
+#else
+   pg funcp = boost::math::tgamma_delta_ratio;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma_delta_ratio against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", test_name);
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      negative_tgamma_ratio<Real>(),
+      extract_result<Real>(3));
+   std::string s(test_name);
+   s += " (negative delta)";
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", s.c_str());
+#endif
+}
+
+template <class Real, class T>
+void do_test_tgamma_ratio(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef TGAMMA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma_ratio<value_type, value_type>;
+#else
+   pg funcp = boost::math::tgamma_ratio;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma_ratio against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_ratio", test_name);
+#endif
+}
+
+template <class T>
+void test_tgamma_ratio(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#  include "tgamma_delta_ratio_data.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_data, name, "tgamma + small delta ratios");
+
+#  include "tgamma_delta_ratio_int.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int, name, "tgamma + small integer ratios");
+
+#  include "tgamma_delta_ratio_int2.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int2, name, "integer tgamma ratios");
+
+#  include "tgamma_ratio_data.ipp"
+
+   do_test_tgamma_ratio<T>(tgamma_ratio_data, name, "tgamma ratios");
+
+}
+
+template <class T>
+void test_spots(T, const char*)
+{
+#ifdef _MSC_VER
+# pragma warning(push)
+# pragma warning(disable:4127 4756)
+#endif
+   //
+   // A few special spot tests:
+   //
+   BOOST_MATH_STD_USING
+   T tol = boost::math::tools::epsilon<T>() * 20;
+   if(std::numeric_limits<T>::max_exponent > 200)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -500)), T(180.25)), T(8.0113754557649679470816892372669519037339812035512e-178L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -525)), T(192.25)), T(1.5966560279353205461166489184101261541784867035063e-197L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(182.25), T(ldexp(T(1), -500))), T(4.077990437521002194346763299159975185747917450788e+181L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(ldexp(T(1), -525))), T(1.2040790040958522422697601672703926839178050326148e+199L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(194.75)), T(0.00037151765099653237632823607820104961270831942138159L), 3 * tol);
+   }
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(0), T(2)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(0)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(-1), T(2)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(-1)), std::domain_error);
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(std::numeric_limits<T>::infinity(), T(2)), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), std::numeric_limits<T>::infinity()), std::domain_error);
+   }
+   //
+   // Some bug cases from Rocco Romeo:
+   //
+   if(std::numeric_limits<T>::min_exponent < -1020)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(100)), T(1.20390418056093374068585549133304106854441830616070800417660e151L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(150)), T(2.94980580122226729924781231239336413648584663386992050529324e46L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(180)), T(1.00669209319561468911303652019446665496398881230516805140750e-20L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(220)), T(1.08230263539550701700187215488533416834407799907721731317227e-112L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(260)), T(7.62689807594728483940172477902929825624752380292252137809206e-208L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(290)), T(5.40206998243175672775582485422795773284966068149812072521290e-281L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1020)), T(ldexp(T(1), -1020))), T(2), tol);
+      if(0 != ldexp(T(1), -1074))
+      {
+         // This is denorm_min at double precision:
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 50);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(200), T(ldexp(T(1), -1074))), T(1.94824379293682687942882944294875087145333536754699303593931e49), tol * 10);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 10);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(200), T(ldexp(T(1), -1074))), T(1), tol);
+      }
+   }
+}
diff --git a/src/boost/libs/math/test/test_toms748_solve.cpp b/src/boost/libs/math/test/test_toms748_solve.cpp
new file mode 100644
index 00000000..5a40055c
--- /dev/null
+++ b/src/boost/libs/math/test/test_toms748_solve.cpp
@@ -0,0 +1,273 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/tools/toms748_solve.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <iostream>
+#include <iomanip>
+
+//
+// Test functor implements the same test cases as used by
+// "Algorithm 748: Enclosing Zeros of Continuous Functions"
+// by G.E. Alefeld, F.A. Potra and Yixun Shi.
+//
+// Plus two more: one for inverting the incomplete gamma,
+// and one for inverting the incomplete beta.
+//
+template <class T>
+struct toms748tester
+{
+   toms748tester(unsigned i) : k(i), ip(0), a(0), b(0){}
+   toms748tester(unsigned i, int ip_) : k(i), ip(ip_), a(0), b(0){}
+   toms748tester(unsigned i, T a_, T b_) : k(i), ip(0), a(a_), b(b_){}
+
+   static unsigned total_calls()
+   {
+      return invocations;
+   }
+   static void reset()
+   {
+      invocations = 0;
+   }
+
+   T operator()(T x)
+   {
+      using namespace std;
+
+      ++invocations;
+      switch(k)
+      {
+      case 1:
+         return sin(x) - x / 2;
+      case 2:
+         {
+            T r = 0;
+            for(int i = 1; i <= 20; ++i)
+            {
+               T p = (2 * i - 5);
+               T q = x - i * i;
+               r += p * p / (q * q * q);
+            }
+            r *= -2;
+            return r;
+         }
+      case 3:
+         return a * x * exp(b * x);
+      case 4:
+         return pow(x, b) - a;
+      case 5:
+         return sin(x) - 0.5;
+      case 6:
+         return 2 * x * exp(-T(ip)) - 2 * exp(-ip * x) + 1;
+      case 7:
+         return (1 + (1 - ip) * (1 - ip)) * x - (1 - ip * x) * (1 - ip * x);
+      case 8:
+         return x * x - pow(1 - x, a);
+      case 9:
+         return (1 + (1 - ip) * (1 - ip) * (1 - ip) * (1 - ip)) * x - (1 - ip * x) * (1 - ip * x) * (1 - ip * x) * (1 - ip * x);
+      case 10:
+         return exp(-ip * x) * (x - 1) + pow(x, T(ip));
+      case 11:
+         return (ip * x - 1) / ((ip - 1) * x);
+      case 12:
+         return pow(x, T(1)/ip) - pow(T(ip), T(1)/ip);
+      case 13:
+         return x == 0 ? 0 : x * exp(-1 / (x * x));
+      case 14:
+         return x >= 0 ? (T(ip)/20) * (x / 1.5f + sin(x) - 1) : -T(ip)/20;
+      case 15:
+         {
+            T d = 2e-3f / (1+ip);
+            if(x > d)
+               return exp(1.0) - 1.859;
+            else if(x > 0)
+               return exp((ip+1)*x*1000 / 2) - 1.859;
+            return -0.859f;
+         }
+      case 16:
+         {
+            return boost::math::gamma_q(x, a) - b;
+         }
+      case 17:
+         return boost::math::ibeta(x, a, 0.5) - b;
+      }
+      return 0;
+   }
+private:
+   int k; // index of problem.
+   int ip; // integer parameter
+   T a, b; // real parameter
+
+   static unsigned invocations;
+};
+
+template <class T>
+unsigned toms748tester<T>::invocations = 0;
+
+boost::uintmax_t total = 0;
+boost::uintmax_t invocations = 0;
+
+template <class T>
+void run_test(T a, T b, int id)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\nresult={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+template <class T>
+void run_test(T a, T b, int id, int p)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id, p), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\nresult={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+template <class T>
+void run_test(T a, T b, int id, T p1, T p2)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id, p1, p2), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\n   Result={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   std::cout << std::setprecision(18);
+   run_test(3.14/2, 3.14, 1);
+
+   for(int i = 1; i <= 10; i += 1)
+   {
+      run_test(i*i + 1e-9, (i+1)*(i+1) - 1e-9, 2);
+   }
+
+   run_test(-9.0, 31.0, 3, -40.0, -1.0);
+   run_test(-9.0, 31.0, 3, -100.0, -2.0);
+   run_test(-9.0, 31.0, 3, -200.0, -3.0);
+
+   for(int n = 4; n <= 12; n += 2)
+   {
+      run_test(0.0, 5.0, 4, 0.2, double(n));
+   }
+   for(int n = 4; n <= 12; n += 2)
+   {
+      run_test(0.0, 5.0, 4, 1.0, double(n));
+   }
+   for(int n = 8; n <= 14; n += 2)
+   {
+      run_test(-0.95, 4.05, 4, 1.0, double(n));
+   }
+   run_test(0.0, 1.5, 5);
+   for(int n = 1; n <= 5; ++n)
+   {
+      run_test(0.0, 1.0, 6, n);
+   }
+   for(int n = 20; n <= 100; n += 20)
+   {
+      run_test(0.0, 1.0, 6, n);
+   }
+   run_test(0.0, 1.0, 7, 5);
+   run_test(0.0, 1.0, 7, 10);
+   run_test(0.0, 1.0, 7, 20);
+   run_test(0.0, 1.0, 8, 2);
+   run_test(0.0, 1.0, 8, 5);
+   run_test(0.0, 1.0, 8, 10);
+   run_test(0.0, 1.0, 8, 15);
+   run_test(0.0, 1.0, 8, 20);
+   run_test(0.0, 1.0, 9, 1);
+   run_test(0.0, 1.0, 9, 2);
+   run_test(0.0, 1.0, 9, 4);
+   run_test(0.0, 1.0, 9, 5);
+   run_test(0.0, 1.0, 9, 8);
+   run_test(0.0, 1.0, 9, 15);
+   run_test(0.0, 1.0, 9, 20);
+   run_test(0.0, 1.0, 10, 1);
+   run_test(0.0, 1.0, 10, 5);
+   run_test(0.0, 1.0, 10, 10);
+   run_test(0.0, 1.0, 10, 15);
+   run_test(0.0, 1.0, 10, 20);
+
+   run_test(0.01, 1.0, 11, 2);
+   run_test(0.01, 1.0, 11, 5);
+   run_test(0.01, 1.0, 11, 15);
+   run_test(0.01, 1.0, 11, 20);
+
+   for(int n = 2; n <= 6; ++n)
+      run_test(1.0, 100.0, 12, n);
+   for(int n = 7; n <= 33; n+=2)
+      run_test(1.0, 100.0, 12, n);
+
+   run_test(-1.0, 4.0, 13);
+
+   for(int n = 1; n <= 40; ++n)
+      run_test(-1e4, 3.14/2, 14, n);
+
+   for(int n = 20; n <= 40; ++n)
+      run_test(-1e4, 1e-4, 15, n);
+
+   for(int n = 100; n <= 1000; n+=100)
+      run_test(-1e4, 1e-4, 15, n);
+
+   std::cout << "Total iterations consumed = " << total << std::endl;
+   std::cout << "Total function invocations consumed = " << invocations << std::endl << std::endl;
+
+   BOOST_CHECK(invocations < 3150);
+
+   std::cout << std::setprecision(18);
+
+   for(int n = 5; n <= 100; n += 10)
+      run_test(sqrt(double(n)), double(n+1), 16, (double)n, 0.4);
+
+   for(int n = 5; n <= 100; n += 10)
+      run_test(double(n / 2), double(2*n), 17, (double)n, 0.4);
+
+
+   for(int n = 4; n <= 12; n += 2)
+   {
+      boost::uintmax_t c = 1000;
+      std::pair<double, double> r = bracket_and_solve_root(toms748tester<double>(4, 0.2, double(n)), 
+         2.0, 
+         2.0,
+         true,
+         boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+         c);
+      std::cout << std::setprecision(18);
+      std::cout << "Function " << 4 << "\n   Result={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+      toms748tester<double>::reset();
+      BOOST_CHECK(c < 20);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_tr1.c b/src/boost/libs/math/test/test_tr1.c
new file mode 100644
index 00000000..345a0c2f
--- /dev/null
+++ b/src/boost/libs/math/test/test_tr1.c
@@ -0,0 +1,1066 @@
+/*  (C) Copyright John Maddock 2008.
+  Use, modification and distribution are subject to the
+  Boost Software License, Version 1.0. (See accompanying file
+  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+  */
+
+#include <math.h>
+#include <float.h>
+#include <stdio.h>
+
+#include <boost/math/tr1.hpp>
+
+unsigned errors = 0;
+
+void check_close_f(float v1, float v2, float tol, int line)
+{
+   float err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabsf(v1 - v2);
+   }
+   else
+   {
+      err = fabsf((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+void check_close(double v1, double v2, double tol, int line)
+{
+   double err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabs(v1 - v2);
+   }
+   else
+   {
+      err = fabs((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+void check_close_l(long double v1, long double v2, long double tol, int line)
+{
+   long double err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabsl(v1 - v2);
+   }
+   else
+   {
+      err = fabsl((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+
+void check(int b, int line)
+{
+   if(b == 0)
+   {
+      errors += 1;
+      printf("Error at line %d\n", line);
+   }
+}
+
+void check_close_fraction_f(float v1, float v2, float tol, int line)
+{
+   check_close_f(v1, v2, tol * 100, line);
+}
+void check_close_fraction(double v1, double v2, double tol, int line)
+{
+   check_close(v1, v2, tol * 100, line);
+}
+void check_close_fraction_l(long double v1, long double v2, long double tol, int line)
+{
+   check_close_l(v1, v2, tol * 100, line);
+}
+
+void test_values_f(const char* name)
+{
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   float eps = FLT_EPSILON;
+   float sv;
+   check_close_f(acoshf(coshf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+   check_close_f(asinhf(sinhf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+   check_close_f(atanhf(tanhf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+
+   check_close_f(cbrtf(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps, __LINE__);
+
+   check(copysignf(1.0f, 1.0f) == 1.0f, __LINE__);
+   check(copysignf(1.0f, -1.0f) == -1.0f, __LINE__);
+   check(copysignf(-1.0f, 1.0f) == 1.0f, __LINE__);
+   check(copysignf(-1.0f, -1.0f) == -1.0f, __LINE__);
+
+   check_close_f(erfcf(0.125), 0.85968379519866618260697055347837660181302041685015f, eps * 1000, __LINE__);
+   check_close_f(erfcf(0.5), 0.47950012218695346231725334610803547126354842424204f, eps * 1000, __LINE__);
+   check_close_f(erfcf(1), 0.15729920705028513065877936491739074070393300203370f, eps * 1000, __LINE__);
+   check_close_f(erfcf(5), 1.5374597944280348501883434853833788901180503147234e-12f, eps * 1000, __LINE__);
+   check_close_f(erfcf(-0.125), 1.1403162048013338173930294465216233981869795831498f, eps * 1000, __LINE__);
+   check_close_f(erfcf(-0.5), 1.5204998778130465376827466538919645287364515757580f, eps * 1000, __LINE__);
+   check_close_f(erfcf(0), 1, eps * 1000, __LINE__);
+
+   check_close_f(erff(0.125), 0.14031620480133381739302944652162339818697958314985f, eps * 1000, __LINE__);
+   check_close_f(erff(0.5), 0.52049987781304653768274665389196452873645157575796f, eps * 1000, __LINE__);
+   check_close_f(erff(1), 0.84270079294971486934122063508260925929606699796630f, eps * 1000, __LINE__);
+   check_close_f(erff(5), 0.9999999999984625402055719651498116565146166211099f, eps * 1000, __LINE__);
+   check_close_f(erff(-0.125), -0.14031620480133381739302944652162339818697958314985f, eps * 1000, __LINE__);
+   check_close_f(erff(-0.5), -0.52049987781304653768274665389196452873645157575796f, eps * 1000, __LINE__);
+   check_close_f(erff(0), 0, eps * 1000, __LINE__);
+
+   check_close_f(log1pf(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0f, eps * 1000, __LINE__);
+   check_close_f(expm1f(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0f, eps * 1000, __LINE__);
+   check_close_f(log1pf(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1f, eps * 1000, __LINE__);
+   check_close_f(expm1f(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1f, eps * 1000, __LINE__);
+
+   check_close_f(fmaxf(0.1f, -0.1f), 0.1f, 0, __LINE__);
+   check_close_f(fminf(0.1f, -0.1f), -0.1f, 0, __LINE__);
+
+   check_close_f(hypotf(1.0f, 3.0f), sqrtf(10.0f), eps * 500, __LINE__);
+
+   check_close_f(lgammaf(3.5), 1.2009736023470742248160218814507129957702389154682f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(0.125), 2.0194183575537963453202905211670995899482809521344f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-0.125), 2.1653002489051702517540619481440174064962195287626f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-3.125), 0.1543111276840418242676072830970532952413339012367f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-53249.0/1024), -149.43323093420259741100038126078721302600128285894f, 5000 * eps, __LINE__);
+
+   check_close_f(tgammaf(3.5), 3.3233509704478425511840640312646472177454052302295f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(0.125), 7.5339415987976119046992298412151336246104195881491f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(-0.125), -8.7172188593831756100190140408231437691829605421405f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(-3.125), 1.1668538708507675587790157356605097019141636072094f, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llroundf(2.5f) == 3fL, __LINE__);
+   check(llroundf(2.25f) == 2fL, __LINE__);
+#endif
+   check(lroundf(2.5f) == 3.0f, __LINE__);
+   check(lroundf(2.25f) == 2.0f, __LINE__);
+   check(roundf(2.5f) == 3.0f, __LINE__);
+   check(roundf(2.25f) == 2.0f, __LINE__);
+
+   check(nextafterf(1.0f, 2.0f) > 1.0f, __LINE__);
+   check(nextafterf(1.0f, -2.0f) < 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, 2.0f), -2.0f) == 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, -2.0f), 2.0f) == 1.0f, __LINE__);
+   check(nextafterf(1.0f, 2.0f) > 1.0f, __LINE__);
+   check(nextafterf(1.0f, -2.0f) < 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, 2.0f), -2.0f) == 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, -2.0f), 2.0f) == 1.0f, __LINE__);
+
+   check(truncf(2.5f) == 2.0f, __LINE__);
+   check(truncf(2.25f) == 2.0f, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction_f(assoc_laguerref(4, 5, 0.5f), 88.31510416666666666666666666666666666667f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 0, 2.5f), -0.8802526766660982969576719576719576719577f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 1, 4.5f), 1.564311458042689732142857142857142857143f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 6, 8.5f), 20.51596541066649098875661375661375661376f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 12, 12.5f), -199.5560968456234671241181657848324514991f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(50, 40, 12.5f), -4.996769495006119488583146995907246595400e16f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, 0.5f), 0.5f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, 0.5f), -0.3307291666666666666666666666666666666667f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, 0.5f), -0.5183392237103174603174603174603174603175f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, 0.5f), 0.3120174870800154148915399248893113634676f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, 0.5f), -0.3181388060269979064951118308575628226834f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, -0.5f), 1.5f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, -0.5f), 3.835937500000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, -0.5f), 7.950934709821428571428571428571428571429f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, -0.5f), 76.12915699869631476833699787070874048223f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, -0.5f), 2307.428631277506570629232863491518399720f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, 4.5f), -3.500000000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, 4.5f), 0.08593750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, 4.5f), -1.036928013392857142857142857142857142857f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, 4.5f), 1.437239150257817378525582974722170737587f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, 4.5f), -0.7795068145562651416494321484050019245248f, eps * 100, __LINE__);
+
+   check_close_fraction_f(assoc_legendref(4, 2, 0.5f), 4.218750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(7, 5, 0.5f), 5696.789530152175143607977274672800795328f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(4, 2, -0.5f), 4.218750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(7, 5, -0.5f), 5696.789530152175143607977274672800795328f, eps * 100, __LINE__);
+
+   check_close_fraction_f(legendref(1, 0.5f), 0.5f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(4, 0.5f), -0.2890625000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(7, 0.5f), 0.2231445312500000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(40, 0.5f), -0.09542943523261546936538467572384923220258f, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close_f(betaf(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, 20), 0.00002823263692828910220214568040654997176736f, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(0.0125f, 0.000023f), 43558.24045647538375006349016083320744662f, eps * 20 * 100, __LINE__);
+
+   check_close_f(comp_ellint_1f(0), 1.5707963267948966192313216916397514420985846996876f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(0.125), 1.5769867712158131421244030532288080803822271060839f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(0.25), 1.5962422221317835101489690714979498795055744578951f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(300/1024.0f), 1.6062331054696636704261124078746600894998873503208f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(400/1024.0f), 1.6364782007562008756208066125715722889067992997614f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(-0.5), 1.6857503548125960428712036577990769895008008941411f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(-0.75), 1.9109897807518291965531482187613425592531451316788f, eps * 5000, __LINE__);
+
+   check_close_f(comp_ellint_2f(-1), 1.0f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(0), 1.5707963267948966192313216916397514420985846996876f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(100 / 1024.0f), 1.5670445330545086723323795143598956428788609133377f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(200 / 1024.0f), 1.5557071588766556854463404816624361127847775545087f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(300 / 1024.0f), 1.5365278991162754883035625322482669608948678755743f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(400 / 1024.0f), 1.5090417763083482272165682786143770446401437564021f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-0.5), 1.4674622093394271554597952669909161360253617523272f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-600 / 1024.0f), 1.4257538571071297192428217218834579920545946473778f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-800 / 1024.0f), 1.2927868476159125056958680222998765985004489572909f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-900 / 1024.0f), 1.1966864890248739524112920627353824133420353430982f, eps * 5000, __LINE__);
+
+   check_close_f(comp_ellint_3f(0.2f, 0), 1.586867847454166237308008033828114192951f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.4f, 0), 1.639999865864511206865258329748601457626f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.0f, 0), 1.57079632679489661923132169163975144209858469968755291048747f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.0f, 0.5), 2.221441469079183123507940495030346849307f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.3f, -4), 0.712708870925620061597924858162260293305195624270730660081949f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.5f, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.75f, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.875f, 1 / 1024.0f), 2.18674503176462374414944618968850352696579451638002110619287f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.875f, 1023/1024.0f), 101.045289804941384100960063898569538919135722087486350366997f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_if(2.25f, 1/(1024.0f*1024.0f)), 2.34379212133481347189068464680335815256364262507955635911656e-15f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(5.5f, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-5 + 1.0f/1024.0f, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-5.5f, 10), 597.577606961369169607937419869926705730305175364662688426534f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-10486074.0f/(1024.0f*1024), 1/1024.0f), 1.41474005665181350367684623930576333542989766867888186478185e35f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-10486074.0f/(1024.0f*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(144794.0f/1024.0f, 100), 2066.27694757392660413922181531984160871678224178890247540320f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-144794.0f/1024.0f, 100), 2066.27694672763190927440969155740243346136463461655104698748f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_jf(2457/1024.0f, 1/1024.0f), 3.80739920118603335646474073457326714709615200130620574875292e-9f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 3217.0f/1024), 0.0281933076257506091621579544064767140470089107926550720453038f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 3217.0f/1024), -2.55820064470647911823175836997490971806135336759164272675969f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+04), 2.449843111985605522111159013846599118397e-03f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 1e+04), 0.00759343502722670361395585198154817047185480147294665270646578f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.125f, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.875f, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(0.5f, 101), 0.0358874487875643822020496677692429287863419555699447066226409f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+04), 0.00244984311198560552211115901384659911839737686676766460822577f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-0.5f, 101), 0.0708184798097594268482290389188138201440114881159344944791454f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 1/1024.0f), 1.41474013160494695750009004222225969090304185981836460288562e35f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 15), -0.0902239288885423309568944543848111461724911781719692852541489f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(10486074 / (1024*1024.0f), 1e+02f), -0.0547064914615137807616774867984047583596945624129838091326863f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(10486074 / (1024*1024.0f), 2e+04f), -0.00556783614400875611650958980796060611309029233226596737701688f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 1e+02f), -0.0547613660316806551338637153942604550779513947674222863858713f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_kf(0.5f, 0.875), 0.558532231646608646115729767013630967055657943463362504577189f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(0.5f, 1.125), 0.383621010650189547146769320487006220295290256657827220786527f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(2.25f, ldexpf(1.0f, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(5.5f, 3217/1024.0f), 1.30623288775012596319554857587765179889689223531159532808379f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(-5.5f, 10), 0.0000733045300798502164644836879577484533096239574909573072142667f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(-5.5f, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(10240/1024.0f, 1/1024.0f), 2.35522579263922076203415803966825431039900000000993410734978e38f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(10240/1024.0f, 10), 0.00161425530039067002345725193091329085443750382929208307802221f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(144793/1024.0f, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(144793/1024.0f, 200), 0.0f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_neumannf(0.5f, 1 / (1024.0f*1024)), -817.033790261762580469303126467917092806755460418223776544122f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(5.5f, 3.125), -2.61489440328417468776474188539366752698192046890955453259866f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-5.5f, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-5.5f, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-10486074 / (1024*1024.0f), 1/1024.0f), -1.50382374389531766117868938966858995093408410498915220070230e38f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-10486074 / (1024*1024.0f), 1e+02f), 0.0583041891319026009955779707640455341990844522293730214223545f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(141.75f, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(141.75f, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-141.75f, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_1f(0, 0), 0, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0, -10), -10, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(-1, -1), -1.2261911708835170708130609674719067527242483502207f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.875f, -4), -5.3190556182262405182189463092940736859067548232647f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(-0.625f, 8), 9.0419973860310100524448893214394562615252527557062f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.875f, 1e-05f), 0.000010000000000127604166668510945638036143355898993088f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(10/1024.0f, 1e+05f), 100002.38431454899771096037307519328741455615271038f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(1, 1e-20f), 1.0000000000000000000000000000000000000000166666667e-20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(1e-20f, 1e-20f), 1.000000000000000e-20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(400/1024.0f, 1e+20f), 1.0418143796499216839719289963154558027005142709763e20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 2), 2.1765877052210673672479877957388515321497888026770f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 4), 4.2543274975235836861894752787874633017836785640477f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 6), 6.4588766202317746302999080620490579800463614807916f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 10), 10.697409951222544858346795279378531495869386960090f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -2), -2.1765877052210673672479877957388515321497888026770f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -4), -4.2543274975235836861894752787874633017836785640477f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -6), -6.4588766202317746302999080620490579800463614807916f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -10), -10.697409951222544858346795279378531495869386960090f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_2f(0, 0), 0, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(0, -10), -10, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-1, -1), -0.84147098480789650665250232163029899962256306079837f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(900 / 1024.0f, -4), -3.1756145986492562317862928524528520686391383168377f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-600 / 1024.0f, 8), 7.2473147180505693037677015377802777959345489333465f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(800 / 1024.0f, 1e-05f), 9.999999999898274739584436515967055859383969942432E-6f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(100 / 1024.0f, 1e+05f), 99761.153306972066658135668386691227343323331995888f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-0.5f, 1e+10f), 9.3421545766487137036576748555295222252286528414669e9f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(400 / 1024.0f, ldexpf(1, 66)), 7.0886102721911705466476846969992069994308167515242e19f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_3f(0, 1, -1), -1.557407724654902230506974807458360173087f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.4f, 0, -4), -4.153623371196831087495427530365430979011f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(-0.6f, 0, 8), 8.935930619078575123490612395578518914416f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 0, 0.5f), 0.501246705365439492445236118603525029757890291780157969500480f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0, 0.5f), 0.5f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, -2, 0.5f), 0.437501067017546278595664813509803743009132067629603474488486f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.25f, 0.5f), 0.510269830229213412212501938035914557628394166585442994564135f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.75f, 0.5f), 0.533293253875952645421201146925578536430596894471541312806165f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.75f, 0.75), 0.871827580412760575085768367421866079353646112288567703061975f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 1, 0.25f), 0.255341921221036266504482236490473678204201638800822621740476f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 2, 0.25f), 0.261119051639220165094943572468224137699644963125853641716219f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 1023/1024.0f, 1.5), 13.2821612239764190363647953338544569682942329604483733197131f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.5f, 0.5f, -1), -1.228014414316220642611298946293865487807f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.5f, 0.5f, 1e+10f), 1.536591003599172091573590441336982730551e+10f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.75f, -1e+05f, 10), 0.0347926099493147087821620459290460547131012904008557007934290f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 10), 0.000109956202759561502329123384755016959364346382187364656768212f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 1e+20f), 1.00000626665567332602765201107198822183913978895904937646809e15f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 1608/1024.0f), 0.0000157080616044072676127333183571107873332593142625043567690379f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, 1-1 / 1024.0f, 1e+20f), 6.43274293944380717581167058274600202023334985100499739678963e21f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 50, 0.1f), 0.124573770342749525407523258569507331686458866564082916835900f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 1.125f, 1), 1.77299767784815770192352979665283069318388205110727241629752f, eps * 5000, __LINE__);
+
+   check_close_f(expintf(1/1024.0f), -6.35327933972759151358547423727042905862963067106751711596065f, eps * 5000, __LINE__);
+   check_close_f(expintf(0.125), -1.37320852494298333781545045921206470808223543321810480716122f, eps * 5000, __LINE__);
+   check_close_f(expintf(0.5), 0.454219904863173579920523812662802365281405554352642045162818f, eps * 5000, __LINE__);
+   check_close_f(expintf(1), 1.89511781635593675546652093433163426901706058173270759164623f, eps * 5000, __LINE__);
+   check_close_f(expintf(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20f, eps * 5000, __LINE__);
+   check_close_f(expintf(-1/1024.0f), -6.35523246483107180261445551935803221293763008553775821607264f, eps * 5000, __LINE__);
+   check_close_f(expintf(-0.125), -1.62342564058416879145630692462440887363310605737209536579267f, eps * 5000, __LINE__);
+   check_close_f(expintf(-0.5), -0.559773594776160811746795939315085235226846890316353515248293f, eps * 5000, __LINE__);
+   check_close_f(expintf(-1), -0.219383934395520273677163775460121649031047293406908207577979f, eps * 5000, __LINE__);
+   check_close_f(expintf(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24f, eps * 5000, __LINE__);
+
+   check_close_fraction_f(hermitef(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 1e6), 2e6f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 30), 5.896624628001300E+17f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 1000), 1.023976960161280E+33f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 10), 8.093278209760000E+12f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, -10), 8.093278209760000E+12f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -10), -7.880000000000000E+3f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -1000), -7.999988000000000E+9f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -1000000), -7.999999999988000E+18f, 100 * eps, __LINE__);
+
+   check_close_f(riemann_zetaf(0.125), -0.63277562349869525529352526763564627152686379131122f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1023 / 1024.0f), -1023.4228554489429786541032870895167448906103303056f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1025 / 1024.0f), 1024.5772867695045940578681624248887776501597556226f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(0.5f), -1.46035450880958681288949915251529801246722933101258149054289f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1.125f), 8.5862412945105752999607544082693023591996301183069f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(2), 1.6449340668482264364724151666460251892189499012068f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(3.5f), 1.1267338673170566464278124918549842722219969574036f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4), 1.08232323371113819151600369654116790277475095191872690768298f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4 + 1 / 1024.0f), 1.08225596856391369799036835439238249195298434901488518878804f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4.5f), 1.05470751076145426402296728896028011727249383295625173068468f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(6.5f), 1.01200589988852479610078491680478352908773213619144808841031f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(7.5f), 1.00582672753652280770224164440459408011782510096320822989663f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(8.125f), 1.0037305205308161603183307711439385250181080293472f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(16.125f), 1.0000140128224754088474783648500235958510030511915f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(0), -0.5f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-0.125f), -0.39906966894504503550986928301421235400280637468895f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-1), -0.083333333333333333333333333333333333333333333333333f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-2), 0, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-2.5f), 0.0085169287778503305423585670283444869362759902200745f, eps * 5000 * 3, __LINE__);
+   check_close_f(riemann_zetaf(-3), 0.0083333333333333333333333333333333333333333333333333f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-4), 0, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close_f(riemann_zetaf(-21), -281.46014492753623188405797101449275362318840579710f, eps * 5000 * 100, __LINE__);
+   check_close_f(riemann_zetaf(-30.125f), 2.2762941726834511267740045451463455513839970804578e7f, eps * 5000 * 100, __LINE__);
+
+   check_close_f(sph_besself(0, 0.1433600485324859619140625e-1f), 0.9999657468461303487880990241993035937654e0f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(0, 0.1760916970670223236083984375e-1f), 0.9999483203249623334100130061926184665364e0f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(2, 0.1433600485324859619140625e-1f), 0.1370120120703995134662099191103188366059e-4f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(2, 0.1760916970670223236083984375e-1f), 0.2067173265753174063228459655801741280461e-4f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(7, 0.1252804412841796875e3f), 0.7887555711993028736906736576314283291289e-2f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(7, 0.25554705810546875e3f), -0.1463292767579579943284849187188066532514e-2f,  eps * 5000 * 100, __LINE__);
+
+   check_close_f(sph_neumannf(0, 0.408089816570281982421875e0f), -0.2249212131304610409189209411089291558038e1f, eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(0, 0.6540834903717041015625e0f), -0.1213309779166084571756446746977955970241e1f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(2, 0.408089816570281982421875e0f), -0.4541702641837159203058389758895634766256e2f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(2, 0.6540834903717041015625e0f), -0.1156112621471167110574129561700037138981e2f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(10, 0.1097540378570556640625e1f), -0.2427889658115064857278886600528596240123e9f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(10, 0.30944411754608154296875e1f), -0.3394649246350136450439882104151313759251e4f,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction_f(sph_legendref(3, 2, 0.5f), 0.2061460599687871330692286791802688341213f, eps * 5000, __LINE__);
+   check_close_fraction_f(sph_legendref(40, 15, 0.75f), -0.406036847302819452666908966769096223205057182668333862900509f, eps * 5000, __LINE__);
+
+#endif
+}
+
+void test_values(const char* name)
+{
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   double eps = DBL_EPSILON;
+   double sv;
+   check_close(acosh(cosh(0.5)), 0.5, 5000 * eps, __LINE__);
+   check_close(asinh(sinh(0.5)), 0.5, 5000 * eps, __LINE__);
+   check_close(atanh(tanh(0.5)), 0.5, 5000 * eps, __LINE__);
+
+   check_close(cbrt(1.5 * 1.5 * 1.5), 1.5, 5000 * eps, __LINE__);
+
+   check(copysign(1.0, 1.0) == 1.0, __LINE__);
+   check(copysign(1.0, -1.0) == -1.0, __LINE__);
+   check(copysign(-1.0, 1.0) == 1.0, __LINE__);
+   check(copysign(-1.0, -1.0) == -1.0, __LINE__);
+
+   check_close(erfc(0.125), 0.85968379519866618260697055347837660181302041685015, eps * 1000, __LINE__);
+   check_close(erfc(0.5), 0.47950012218695346231725334610803547126354842424204, eps * 1000, __LINE__);
+   check_close(erfc(1), 0.15729920705028513065877936491739074070393300203370, eps * 1000, __LINE__);
+   check_close(erfc(5), 1.5374597944280348501883434853833788901180503147234e-12, eps * 1000, __LINE__);
+   check_close(erfc(-0.125), 1.1403162048013338173930294465216233981869795831498, eps * 1000, __LINE__);
+   check_close(erfc(-0.5), 1.5204998778130465376827466538919645287364515757580, eps * 1000, __LINE__);
+   check_close(erfc(0), 1, eps * 1000, __LINE__);
+
+   check_close(erf(0.125), 0.14031620480133381739302944652162339818697958314985, eps * 1000, __LINE__);
+   check_close(erf(0.5), 0.52049987781304653768274665389196452873645157575796, eps * 1000, __LINE__);
+   check_close(erf(1), 0.84270079294971486934122063508260925929606699796630, eps * 1000, __LINE__);
+   check_close(erf(5), 0.9999999999984625402055719651498116565146166211099, eps * 1000, __LINE__);
+   check_close(erf(-0.125), -0.14031620480133381739302944652162339818697958314985, eps * 1000, __LINE__);
+   check_close(erf(-0.5), -0.52049987781304653768274665389196452873645157575796, eps * 1000, __LINE__);
+   check_close(erf(0), 0, eps * 1000, __LINE__);
+
+   check_close(log1p(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0, eps * 1000, __LINE__);
+   check_close(expm1(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0, eps * 1000, __LINE__);
+   check_close(log1p(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1, eps * 1000, __LINE__);
+   check_close(expm1(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1, eps * 1000, __LINE__);
+
+   check_close(fmax(0.1, -0.1), 0.1, 0, __LINE__);
+   check_close(fmin(0.1, -0.1), -0.1, 0, __LINE__);
+
+   check_close(hypot(1.0, 3.0), sqrt(10.0), eps * 500, __LINE__);
+
+   check_close(lgamma(3.5), 1.2009736023470742248160218814507129957702389154682, 5000 * eps, __LINE__);
+   check_close(lgamma(0.125), 2.0194183575537963453202905211670995899482809521344, 5000 * eps, __LINE__);
+   check_close(lgamma(-0.125), 2.1653002489051702517540619481440174064962195287626, 5000 * eps, __LINE__);
+   check_close(lgamma(-3.125), 0.1543111276840418242676072830970532952413339012367, 5000 * eps, __LINE__);
+   check_close(lgamma(-53249.0/1024), -149.43323093420259741100038126078721302600128285894, 5000 * eps, __LINE__);
+
+   check_close(tgamma(3.5), 3.3233509704478425511840640312646472177454052302295, 5000 * eps, __LINE__);
+   check_close(tgamma(0.125), 7.5339415987976119046992298412151336246104195881491, 5000 * eps, __LINE__);
+   check_close(tgamma(-0.125), -8.7172188593831756100190140408231437691829605421405, 5000 * eps, __LINE__);
+   check_close(tgamma(-3.125), 1.1668538708507675587790157356605097019141636072094, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llround(2.5) == 3L, __LINE__);
+   check(llround(2.25) == 2L, __LINE__);
+#endif
+   check(lround(2.5) == 3.0, __LINE__);
+   check(lround(2.25) == 2.0, __LINE__);
+   check(round(2.5) == 3.0, __LINE__);
+   check(round(2.25) == 2.0, __LINE__);
+
+   check(nextafter(1.0, 2.0) > 1.0, __LINE__);
+   check(nextafter(1.0, -2.0) < 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, 2.0), -2.0) == 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, -2.0), 2.0) == 1.0, __LINE__);
+   check(nextafter(1.0, 2.0) > 1.0, __LINE__);
+   check(nextafter(1.0, -2.0) < 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, 2.0), -2.0) == 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, -2.0), 2.0) == 1.0, __LINE__);
+
+   check(trunc(2.5) == 2.0, __LINE__);
+   check(trunc(2.25) == 2.0, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction(assoc_laguerre(4, 5, 0.5), 88.31510416666666666666666666666666666667, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 0, 2.5), -0.8802526766660982969576719576719576719577, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 1, 4.5), 1.564311458042689732142857142857142857143, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 6, 8.5), 20.51596541066649098875661375661375661376, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 12, 12.5), -199.5560968456234671241181657848324514991, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(50, 40, 12.5), -4.996769495006119488583146995907246595400e16, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, 0.5), 0.5, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, 0.5), -0.3307291666666666666666666666666666666667, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, 0.5), -0.5183392237103174603174603174603174603175, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, 0.5), 0.3120174870800154148915399248893113634676, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, 0.5), -0.3181388060269979064951118308575628226834, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, -0.5), 1.5, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, -0.5), 3.835937500000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, -0.5), 7.950934709821428571428571428571428571429, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, -0.5), 76.12915699869631476833699787070874048223, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, -0.5), 2307.428631277506570629232863491518399720, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, 4.5), -3.500000000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, 4.5), 0.08593750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, 4.5), -1.036928013392857142857142857142857142857, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, 4.5), 1.437239150257817378525582974722170737587, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, 4.5), -0.7795068145562651416494321484050019245248, eps * 100, __LINE__);
+
+   check_close_fraction(assoc_legendre(4, 2, 0.5), 4.218750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(7, 5, 0.5), 5696.789530152175143607977274672800795328, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(4, 2, -0.5), 4.218750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(7, 5, -0.5), 5696.789530152175143607977274672800795328, eps * 100, __LINE__);
+
+   check_close_fraction(legendre(1, 0.5), 0.5, eps * 100, __LINE__);
+   check_close_fraction(legendre(4, 0.5), -0.2890625000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(legendre(7, 0.5), 0.2231445312500000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(legendre(40, 0.5), -0.09542943523261546936538467572384923220258, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close(beta(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close(beta(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close(beta(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close(beta(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close(beta(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close(beta(4, 20), 0.00002823263692828910220214568040654997176736, eps * 20 * 100, __LINE__);
+   check_close(beta(0.0125, 0.000023), 43558.24045647538375006349016083320744662, eps * 20 * 100, __LINE__);
+
+   check_close(comp_ellint_1(0), 1.5707963267948966192313216916397514420985846996876, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(0.125), 1.5769867712158131421244030532288080803822271060839, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(0.25), 1.5962422221317835101489690714979498795055744578951, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(300/1024.0), 1.6062331054696636704261124078746600894998873503208, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(400/1024.0), 1.6364782007562008756208066125715722889067992997614, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(-0.5), 1.6857503548125960428712036577990769895008008941411, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(-0.75), 1.9109897807518291965531482187613425592531451316788, eps * 5000, __LINE__);
+
+   check_close(comp_ellint_2(-1), 1.0, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(0), 1.5707963267948966192313216916397514420985846996876, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(100 / 1024.0), 1.5670445330545086723323795143598956428788609133377, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(200 / 1024.0), 1.5557071588766556854463404816624361127847775545087, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(300 / 1024.0), 1.5365278991162754883035625322482669608948678755743, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(400 / 1024.0), 1.5090417763083482272165682786143770446401437564021, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-0.5), 1.4674622093394271554597952669909161360253617523272, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-600 / 1024.0), 1.4257538571071297192428217218834579920545946473778, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-800 / 1024.0), 1.2927868476159125056958680222998765985004489572909, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-900 / 1024.0), 1.1966864890248739524112920627353824133420353430982, eps * 5000, __LINE__);
+
+   check_close(comp_ellint_3(0.2, 0), 1.586867847454166237308008033828114192951, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.4, 0), 1.639999865864511206865258329748601457626, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.0, 0), 1.57079632679489661923132169163975144209858469968755291048747, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.0, 0.5), 2.221441469079183123507940495030346849307, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.3, -4), 0.712708870925620061597924858162260293305195624270730660081949, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.5, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.75, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.875, 1 / 1024.0), 2.18674503176462374414944618968850352696579451638002110619287, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.875, 1023/1024.0), 101.045289804941384100960063898569538919135722087486350366997, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_i(2.25, 1/(1024.0*1024.0)), 2.34379212133481347189068464680335815256364262507955635911656e-15, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(5.5, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-5 + 1.0/1024.0, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-5.5, 10), 597.577606961369169607937419869926705730305175364662688426534, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-10486074.0/(1024.0*1024), 1/1024.0), 1.41474005665181350367684623930576333542989766867888186478185e35, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-10486074.0/(1024.0*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(144794.0/1024.0, 100), 2066.27694757392660413922181531984160871678224178890247540320, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-144794.0/1024.0, 100), 2066.27694672763190927440969155740243346136463461655104698748, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_j(2457/1024.0, 1/1024.0), 3.80739920118603335646474073457326714709615200130620574875292e-9, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 3217.0/1024), 0.0281933076257506091621579544064767140470089107926550720453038, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 3217.0/1024), -2.55820064470647911823175836997490971806135336759164272675969, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+04), 2.449843111985605522111159013846599118397e-03, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 1e+04), 0.00759343502722670361395585198154817047185480147294665270646578, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.125, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.875, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(0.5, 101), 0.0358874487875643822020496677692429287863419555699447066226409, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+04), 0.00244984311198560552211115901384659911839737686676766460822577, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-0.5, 101), 0.0708184798097594268482290389188138201440114881159344944791454, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 1/1024.0), 1.41474013160494695750009004222225969090304185981836460288562e35, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 15), -0.0902239288885423309568944543848111461724911781719692852541489, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(10486074 / (1024*1024.0), 1e+02), -0.0547064914615137807616774867984047583596945624129838091326863, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(10486074 / (1024*1024.0), 2e+04), -0.00556783614400875611650958980796060611309029233226596737701688, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 1e+02), -0.0547613660316806551338637153942604550779513947674222863858713, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_k(0.5, 0.875), 0.558532231646608646115729767013630967055657943463362504577189, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(0.5, 1.125), 0.383621010650189547146769320487006220295290256657827220786527, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(2.25, ldexp(1.0, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(5.5, 3217/1024.0), 1.30623288775012596319554857587765179889689223531159532808379, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(-5.5, 10), 0.0000733045300798502164644836879577484533096239574909573072142667, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(-5.5, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(10240/1024.0, 1/1024.0), 2.35522579263922076203415803966825431039900000000993410734978e38, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(10240/1024.0, 10), 0.00161425530039067002345725193091329085443750382929208307802221, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(144793/1024.0, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(144793/1024.0, 200), 9.11950412043225432171915100042647230802198254567007382956336e-68, eps * 5000, __LINE__);
+
+   check_close(cyl_neumann(0.5, 1 / (1024.0*1024)), -817.033790261762580469303126467917092806755460418223776544122, eps * 5000, __LINE__);
+   check_close(cyl_neumann(5.5, 3.125), -2.61489440328417468776474188539366752698192046890955453259866, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-5.5, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-5.5, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-10486074 / (1024*1024.0), 1/1024.0), -1.50382374389531766117868938966858995093408410498915220070230e38, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-10486074 / (1024*1024.0), 1e+02), 0.0583041891319026009955779707640455341990844522293730214223545, eps * 5000, __LINE__);
+   check_close(cyl_neumann(141.75, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9, eps * 5000, __LINE__);
+   check_close(cyl_neumann(141.75, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-141.75, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9, eps * 5000, __LINE__);
+
+   check_close(ellint_1(0, 0), 0, eps * 5000, __LINE__);
+   check_close(ellint_1(0, -10), -10, eps * 5000, __LINE__);
+   check_close(ellint_1(-1, -1), -1.2261911708835170708130609674719067527242483502207, eps * 5000, __LINE__);
+   check_close(ellint_1(0.875, -4), -5.3190556182262405182189463092940736859067548232647, eps * 5000, __LINE__);
+   check_close(ellint_1(-0.625, 8), 9.0419973860310100524448893214394562615252527557062, eps * 5000, __LINE__);
+   check_close(ellint_1(0.875, 1e-05), 0.000010000000000127604166668510945638036143355898993088, eps * 5000, __LINE__);
+   check_close(ellint_1(10/1024.0, 1e+05), 100002.38431454899771096037307519328741455615271038, eps * 5000, __LINE__);
+   check_close(ellint_1(1, 1e-20), 1.0000000000000000000000000000000000000000166666667e-20, eps * 5000, __LINE__);
+   check_close(ellint_1(1e-20, 1e-20), 1.000000000000000e-20, eps * 5000, __LINE__);
+   check_close(ellint_1(400/1024.0, 1e+20), 1.0418143796499216839719289963154558027005142709763e20, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 2), 2.1765877052210673672479877957388515321497888026770, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 4), 4.2543274975235836861894752787874633017836785640477, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 6), 6.4588766202317746302999080620490579800463614807916, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 10), 10.697409951222544858346795279378531495869386960090, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -2), -2.1765877052210673672479877957388515321497888026770, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -4), -4.2543274975235836861894752787874633017836785640477, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -6), -6.4588766202317746302999080620490579800463614807916, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -10), -10.697409951222544858346795279378531495869386960090, eps * 5000, __LINE__);
+
+   check_close(ellint_2(0, 0), 0, eps * 5000, __LINE__);
+   check_close(ellint_2(0, -10), -10, eps * 5000, __LINE__);
+   check_close(ellint_2(-1, -1), -0.84147098480789650665250232163029899962256306079837, eps * 5000, __LINE__);
+   check_close(ellint_2(900 / 1024.0, -4), -3.1756145986492562317862928524528520686391383168377, eps * 5000, __LINE__);
+   check_close(ellint_2(-600 / 1024.0, 8), 7.2473147180505693037677015377802777959345489333465, eps * 5000, __LINE__);
+   check_close(ellint_2(800 / 1024.0, 1e-05), 9.999999999898274739584436515967055859383969942432E-6, eps * 5000, __LINE__);
+   check_close(ellint_2(100 / 1024.0, 1e+05), 99761.153306972066658135668386691227343323331995888, eps * 5000, __LINE__);
+   check_close(ellint_2(-0.5, 1e+10), 9.3421545766487137036576748555295222252286528414669e9, eps * 5000, __LINE__);
+   check_close(ellint_2(400 / 1024.0, ldexp(1, 66)), 7.0886102721911705466476846969992069994308167515242e19, eps * 5000, __LINE__);
+
+   check_close(ellint_3(0, 1, -1), -1.557407724654902230506974807458360173087, eps * 5000, __LINE__);
+   check_close(ellint_3(0.4, 0, -4), -4.153623371196831087495427530365430979011, eps * 5000, __LINE__);
+   check_close(ellint_3(-0.6, 0, 8), 8.935930619078575123490612395578518914416, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 0, 0.5), 0.501246705365439492445236118603525029757890291780157969500480, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0, 0.5), 0.5, eps * 5000, __LINE__);
+   check_close(ellint_3(0, -2, 0.5), 0.437501067017546278595664813509803743009132067629603474488486, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.25, 0.5), 0.510269830229213412212501938035914557628394166585442994564135, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.75, 0.5), 0.533293253875952645421201146925578536430596894471541312806165, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.75, 0.75), 0.871827580412760575085768367421866079353646112288567703061975, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 1, 0.25), 0.255341921221036266504482236490473678204201638800822621740476, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 2, 0.25), 0.261119051639220165094943572468224137699644963125853641716219, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 1023/1024.0, 1.5), 13.2821612239764190363647953338544569682942329604483733197131, eps * 5000, __LINE__);
+   check_close(ellint_3(0.5, 0.5, -1), -1.228014414316220642611298946293865487807, eps * 5000, __LINE__);
+   check_close(ellint_3(0.5, 0.5, 1e+10), 1.536591003599172091573590441336982730551e+10, eps * 5000, __LINE__);
+   check_close(ellint_3(0.75, -1e+05, 10), 0.0347926099493147087821620459290460547131012904008557007934290, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 10), 0.000109956202759561502329123384755016959364346382187364656768212, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 1e+20), 1.00000626665567332602765201107198822183913978895904937646809e15, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 1608/1024.0), 0.0000157080616044072676127333183571107873332593142625043567690379, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, 1-1 / 1024.0, 1e+20), 6.43274293944380717581167058274600202023334985100499739678963e21, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 50, 0.1), 0.124573770342749525407523258569507331686458866564082916835900, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 1.125, 1), 1.77299767784815770192352979665283069318388205110727241629752, eps * 5000, __LINE__);
+
+   check_close(expint(1/1024.0), -6.35327933972759151358547423727042905862963067106751711596065, eps * 5000, __LINE__);
+   check_close(expint(0.125), -1.37320852494298333781545045921206470808223543321810480716122, eps * 5000, __LINE__);
+   check_close(expint(0.5), 0.454219904863173579920523812662802365281405554352642045162818, eps * 5000, __LINE__);
+   check_close(expint(1), 1.89511781635593675546652093433163426901706058173270759164623, eps * 5000, __LINE__);
+   check_close(expint(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20, eps * 5000, __LINE__);
+   check_close(expint(-1/1024.0), -6.35523246483107180261445551935803221293763008553775821607264, eps * 5000, __LINE__);
+   check_close(expint(-0.125), -1.62342564058416879145630692462440887363310605737209536579267, eps * 5000, __LINE__);
+   check_close(expint(-0.5), -0.559773594776160811746795939315085235226846890316353515248293, eps * 5000, __LINE__);
+   check_close(expint(-1), -0.219383934395520273677163775460121649031047293406908207577979, eps * 5000, __LINE__);
+   check_close(expint(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24, eps * 5000, __LINE__);
+
+   check_close_fraction(hermite(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 1e6), 2e6, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 30), 5.896624628001300E+17, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 1000), 1.023976960161280E+33, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 10), 8.093278209760000E+12, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, -10), 8.093278209760000E+12, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -10), -7.880000000000000E+3, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -1000), -7.999988000000000E+9, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -1000000), -7.999999999988000E+18, 100 * eps, __LINE__);
+
+   check_close(riemann_zeta(0.125), -0.63277562349869525529352526763564627152686379131122, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1023 / 1024.0), -1023.4228554489429786541032870895167448906103303056, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1025 / 1024.0), 1024.5772867695045940578681624248887776501597556226, eps * 5000, __LINE__);
+   check_close(riemann_zeta(0.5), -1.46035450880958681288949915251529801246722933101258149054289, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1.125), 8.5862412945105752999607544082693023591996301183069, eps * 5000, __LINE__);
+   check_close(riemann_zeta(2), 1.6449340668482264364724151666460251892189499012068, eps * 5000, __LINE__);
+   check_close(riemann_zeta(3.5), 1.1267338673170566464278124918549842722219969574036, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4), 1.08232323371113819151600369654116790277475095191872690768298, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4 + 1 / 1024.0), 1.08225596856391369799036835439238249195298434901488518878804, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4.5), 1.05470751076145426402296728896028011727249383295625173068468, eps * 5000, __LINE__);
+   check_close(riemann_zeta(6.5), 1.01200589988852479610078491680478352908773213619144808841031, eps * 5000, __LINE__);
+   check_close(riemann_zeta(7.5), 1.00582672753652280770224164440459408011782510096320822989663, eps * 5000, __LINE__);
+   check_close(riemann_zeta(8.125), 1.0037305205308161603183307711439385250181080293472, eps * 5000, __LINE__);
+   check_close(riemann_zeta(16.125), 1.0000140128224754088474783648500235958510030511915, eps * 5000, __LINE__);
+   check_close(riemann_zeta(0), -0.5, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-0.125), -0.39906966894504503550986928301421235400280637468895, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-1), -0.083333333333333333333333333333333333333333333333333, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-2), 0, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-2.5), 0.0085169287778503305423585670283444869362759902200745, eps * 5000 * 3, __LINE__);
+   check_close(riemann_zeta(-3), 0.0083333333333333333333333333333333333333333333333333, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-4), 0, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close(riemann_zeta(-21), -281.46014492753623188405797101449275362318840579710, eps * 5000 * 100, __LINE__);
+   check_close(riemann_zeta(-30.125), 2.2762941726834511267740045451463455513839970804578e7, eps * 5000 * 100, __LINE__);
+
+   check_close(sph_bessel(0, 0.1433600485324859619140625e-1), 0.9999657468461303487880990241993035937654e0,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(0, 0.1760916970670223236083984375e-1), 0.9999483203249623334100130061926184665364e0,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(2, 0.1433600485324859619140625e-1), 0.1370120120703995134662099191103188366059e-4,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(2, 0.1760916970670223236083984375e-1), 0.2067173265753174063228459655801741280461e-4,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(7, 0.1252804412841796875e3), 0.7887555711993028736906736576314283291289e-2,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(7, 0.25554705810546875e3), -0.1463292767579579943284849187188066532514e-2,  eps * 5000 * 100, __LINE__);
+
+   check_close(sph_neumann(0, 0.408089816570281982421875e0), -0.2249212131304610409189209411089291558038e1, eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(0, 0.6540834903717041015625e0), -0.1213309779166084571756446746977955970241e1,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(2, 0.408089816570281982421875e0), -0.4541702641837159203058389758895634766256e2,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(2, 0.6540834903717041015625e0), -0.1156112621471167110574129561700037138981e2,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(10, 0.1097540378570556640625e1), -0.2427889658115064857278886600528596240123e9,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(10, 0.30944411754608154296875e1), -0.3394649246350136450439882104151313759251e4,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction(sph_legendre(3, 2, 0.5), 0.2061460599687871330692286791802688341213, eps * 5000, __LINE__);
+   check_close_fraction(sph_legendre(40, 15, 0.75), -0.406036847302819452666908966769096223205057182668333862900509, eps * 5000, __LINE__);
+#endif
+}
+
+void test_valuesl(const char* name)
+{
+#ifdef TEST_LD
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // First the C99 math functions:
+   //
+   long double eps = LDBL_EPSILON;
+   long double sv;
+   check_close_l(acoshl(coshl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+   check_close_l(asinhl(sinhl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+   check_close_l(atanhl(tanhl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+
+   check_close_l(cbrtl(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps, __LINE__);
+
+   check(copysignl(1.0L, 1.0L) == 1.0L, __LINE__);
+   check(copysignl(1.0L, -1.0L) == -1.0L, __LINE__);
+   check(copysignl(-1.0L, 1.0L) == 1.0L, __LINE__);
+   check(copysignl(-1.0L, -1.0L) == -1.0L, __LINE__);
+
+   check_close_l(erfcl(0.125), 0.85968379519866618260697055347837660181302041685015L, eps * 1000, __LINE__);
+   check_close_l(erfcl(0.5), 0.47950012218695346231725334610803547126354842424204L, eps * 1000, __LINE__);
+   check_close_l(erfcl(1), 0.15729920705028513065877936491739074070393300203370L, eps * 1000, __LINE__);
+   check_close_l(erfcl(5), 1.5374597944280348501883434853833788901180503147234e-12L, eps * 1000, __LINE__);
+   check_close_l(erfcl(-0.125), 1.1403162048013338173930294465216233981869795831498L, eps * 1000, __LINE__);
+   check_close_l(erfcl(-0.5), 1.5204998778130465376827466538919645287364515757580L, eps * 1000, __LINE__);
+   check_close_l(erfcl(0), 1, eps * 1000, __LINE__);
+
+   check_close_l(erfl(0.125), 0.14031620480133381739302944652162339818697958314985L, eps * 1000, __LINE__);
+   check_close_l(erfl(0.5), 0.52049987781304653768274665389196452873645157575796L, eps * 1000, __LINE__);
+   check_close_l(erfl(1), 0.84270079294971486934122063508260925929606699796630L, eps * 1000, __LINE__);
+   check_close_l(erfl(5), 0.9999999999984625402055719651498116565146166211099L, eps * 1000, __LINE__);
+   check_close_l(erfl(-0.125), -0.14031620480133381739302944652162339818697958314985L, eps * 1000, __LINE__);
+   check_close_l(erfl(-0.5), -0.52049987781304653768274665389196452873645157575796L, eps * 1000, __LINE__);
+   check_close_l(erfl(0), 0, eps * 1000, __LINE__);
+
+   check_close_l(log1pl(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0L, eps * 1000, __LINE__);
+   check_close_l(expm1l(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0L, eps * 1000, __LINE__);
+   check_close_l(log1pl(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1L, eps * 1000, __LINE__);
+   check_close_l(expm1l(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1L, eps * 1000, __LINE__);
+
+   check_close_l(fmaxl(0.1L, -0.1L), 0.1L, 0, __LINE__);
+   check_close_l(fminl(0.1L, -0.1L), -0.1L, 0, __LINE__);
+
+   check_close_l(hypotl(1.0L, 3.0L), sqrtl(10.0L), eps * 500, __LINE__);
+
+   check_close_l(lgammal(3.5), 1.2009736023470742248160218814507129957702389154682L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(0.125), 2.0194183575537963453202905211670995899482809521344L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-0.125), 2.1653002489051702517540619481440174064962195287626L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-3.125), 0.1543111276840418242676072830970532952413339012367L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-53249.0/1024), -149.43323093420259741100038126078721302600128285894L, 5000 * eps, __LINE__);
+
+   check_close_l(tgammal(3.5), 3.3233509704478425511840640312646472177454052302295L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(0.125), 7.5339415987976119046992298412151336246104195881491L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(-0.125), -8.7172188593831756100190140408231437691829605421405L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(-3.125), 1.1668538708507675587790157356605097019141636072094L, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llroundl(2.5L) == 3LL, __LINE__);
+   check(llroundl(2.25L) == 2LL, __LINE__);
+#endif
+   check(lroundl(2.5L) == 3.0L, __LINE__);
+   check(lroundl(2.25L) == 2.0L, __LINE__);
+   check(roundl(2.5L) == 3.0L, __LINE__);
+   check(roundl(2.25L) == 2.0L, __LINE__);
+
+   check(nextafterl(1.0L, 2.0L) > 1.0L, __LINE__);
+   check(nextafterl(1.0L, -2.0L) < 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, 2.0L), -2.0L) == 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, -2.0L), 2.0L) == 1.0L, __LINE__);
+   check(nextafterl(1.0L, 2.0L) > 1.0L, __LINE__);
+   check(nextafterl(1.0L, -2.0L) < 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, 2.0L), -2.0L) == 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, -2.0L), 2.0L) == 1.0L, __LINE__);
+
+   check(truncl(2.5L) == 2.0L, __LINE__);
+   check(truncl(2.25L) == 2.0L, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction_l(assoc_laguerrel(4, 5, 0.5L), 88.31510416666666666666666666666666666667L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 0, 2.5L), -0.8802526766660982969576719576719576719577L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 1, 4.5L), 1.564311458042689732142857142857142857143L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 6, 8.5L), 20.51596541066649098875661375661375661376L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 12, 12.5L), -199.5560968456234671241181657848324514991L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(50, 40, 12.5L), -4.996769495006119488583146995907246595400e16L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, 0.5L), 0.5L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, 0.5L), -0.3307291666666666666666666666666666666667L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, 0.5L), -0.5183392237103174603174603174603174603175L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, 0.5L), 0.3120174870800154148915399248893113634676L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, 0.5L), -0.3181388060269979064951118308575628226834L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, -0.5L), 1.5L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, -0.5L), 3.835937500000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, -0.5L), 7.950934709821428571428571428571428571429L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, -0.5L), 76.12915699869631476833699787070874048223L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, -0.5L), 2307.428631277506570629232863491518399720L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, 4.5L), -3.500000000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, 4.5L), 0.08593750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, 4.5L), -1.036928013392857142857142857142857142857L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, 4.5L), 1.437239150257817378525582974722170737587L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, 4.5L), -0.7795068145562651416494321484050019245248L, eps * 100, __LINE__);
+
+   check_close_fraction_l(assoc_legendrel(4, 2, 0.5L), 4.218750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(7, 5, 0.5L), 5696.789530152175143607977274672800795328L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(4, 2, -0.5L), 4.218750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(7, 5, -0.5L), 5696.789530152175143607977274672800795328L, eps * 100, __LINE__);
+
+   check_close_fraction_l(legendrel(1, 0.5L), 0.5L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(4, 0.5L), -0.2890625000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(7, 0.5L), 0.2231445312500000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(40, 0.5L), -0.09542943523261546936538467572384923220258L, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close_l(betal(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close_l(betal(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close_l(betal(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, 20), 0.00002823263692828910220214568040654997176736L, eps * 20 * 100, __LINE__);
+   check_close_l(betal(0.0125L, 0.000023L), 43558.24045647538375006349016083320744662L, eps * 20 * 100, __LINE__);
+
+   check_close_l(comp_ellint_1l(0), 1.5707963267948966192313216916397514420985846996876L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(0.125), 1.5769867712158131421244030532288080803822271060839L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(0.25), 1.5962422221317835101489690714979498795055744578951L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(300/1024.0L), 1.6062331054696636704261124078746600894998873503208L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(400/1024.0L), 1.6364782007562008756208066125715722889067992997614L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(-0.5), 1.6857503548125960428712036577990769895008008941411L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(-0.75), 1.9109897807518291965531482187613425592531451316788L, eps * 5000, __LINE__);
+
+   check_close_l(comp_ellint_2l(-1), 1.0L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(0), 1.5707963267948966192313216916397514420985846996876L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(100 / 1024.0L), 1.5670445330545086723323795143598956428788609133377L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(200 / 1024.0L), 1.5557071588766556854463404816624361127847775545087L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(300 / 1024.0L), 1.5365278991162754883035625322482669608948678755743L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(400 / 1024.0L), 1.5090417763083482272165682786143770446401437564021L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-0.5), 1.4674622093394271554597952669909161360253617523272L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-600 / 1024.0L), 1.4257538571071297192428217218834579920545946473778L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-800 / 1024.0L), 1.2927868476159125056958680222998765985004489572909L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-900 / 1024.0L), 1.1966864890248739524112920627353824133420353430982L, eps * 5000, __LINE__);
+
+   check_close_l(comp_ellint_3l(0.2L, 0), 1.586867847454166237308008033828114192951L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.4L, 0), 1.639999865864511206865258329748601457626L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.0L, 0), 1.57079632679489661923132169163975144209858469968755291048747L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.0L, 0.5), 2.221441469079183123507940495030346849307L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.3L, -4), 0.712708870925620061597924858162260293305195624270730660081949L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.5L, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.75L, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.875L, 1 / 1024.0L), 2.18674503176462374414944618968850352696579451638002110619287L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.875L, 1023/1024.0L), 101.045289804941384100960063898569538919135722087486350366997L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_il(2.25L, 1/(1024.0L*1024.0L)), 2.34379212133481347189068464680335815256364262507955635911656e-15L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(5.5L, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-5 + 1.0L/1024.0L, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-5.5L, 10), 597.577606961369169607937419869926705730305175364662688426534L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-10486074.0L/(1024.0L*1024), 1/1024.0L), 1.41474005665181350367684623930576333542989766867888186478185e35L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-10486074.0L/(1024.0L*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(144794.0L/1024.0L, 100), 2066.27694757392660413922181531984160871678224178890247540320L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-144794.0L/1024.0L, 100), 2066.27694672763190927440969155740243346136463461655104698748L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_jl(2457/1024.0L, 1/1024.0L), 3.80739920118603335646474073457326714709615200130620574875292e-9L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(5.5L, 3217.0L/1024), 0.0281933076257506091621579544064767140470089107926550720453038L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 3217.0L/1024), -2.55820064470647911823175836997490971806135336759164272675969L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 1e+04L), 2.449843111985605522111159013846599118397e-03L, eps * 50000, __LINE__);
+   check_close_l(cyl_bessel_jl(5.5L, 1e+04L), 0.00759343502722670361395585198154817047185480147294665270646578L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.5L, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.125L, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.875L, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(0.5L, 101), 0.0358874487875643822020496677692429287863419555699447066226409L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 1e+04L), 0.00244984311198560552211115901384659911839737686676766460822577L, eps * 50000, __LINE__);
+   //check_close_l(cyl_bessel_jl(-5.5L, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-0.5L, 101), 0.0708184798097594268482290389188138201440114881159344944791454L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 1/1024.0L), 1.41474013160494695750009004222225969090304185981836460288562e35L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 15), -0.0902239288885423309568944543848111461724911781719692852541489L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(10486074 / (1024*1024.0L), 1e+02L), -0.0547064914615137807616774867984047583596945624129838091326863L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(10486074 / (1024*1024.0L), 2e+04L), -0.00556783614400875611650958980796060611309029233226596737701688L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 1e+02L), -0.0547613660316806551338637153942604550779513947674222863858713L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_kl(0.5L, 0.875), 0.558532231646608646115729767013630967055657943463362504577189L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(0.5L, 1.125), 0.383621010650189547146769320487006220295290256657827220786527L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(2.25L, ldexpl(1.0L, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(5.5L, 3217/1024.0L), 1.30623288775012596319554857587765179889689223531159532808379L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(-5.5L, 10), 0.0000733045300798502164644836879577484533096239574909573072142667L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(-5.5L, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(10240/1024.0L, 1/1024.0L), 2.35522579263922076203415803966825431039900000000993410734978e38L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(10240/1024.0L, 10), 0.00161425530039067002345725193091329085443750382929208307802221L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(144793/1024.0L, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(144793/1024.0L, 200), 9.11950412043225432171915100042647230802198254567007382956336e-68L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_neumannl(0.5L, 1 / (1024.0L*1024)), -817.033790261762580469303126467917092806755460418223776544122L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(5.5L, 3.125), -2.61489440328417468776474188539366752698192046890955453259866L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-5.5L, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-5.5L, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-10486074 / (1024*1024.0L), 1/1024.0L), -1.50382374389531766117868938966858995093408410498915220070230e38L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-10486074 / (1024*1024.0L), 1e+02L), 0.0583041891319026009955779707640455341990844522293730214223545L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(141.75L, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(141.75L, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186L, eps * 50000, __LINE__);
+   check_close_l(cyl_neumannl(-141.75L, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_1l(0, 0), 0, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0, -10), -10, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(-1, -1), -1.2261911708835170708130609674719067527242483502207L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.875L, -4), -5.3190556182262405182189463092940736859067548232647L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(-0.625L, 8), 9.0419973860310100524448893214394562615252527557062L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.875L, 1e-05L), 0.000010000000000127604166668510945638036143355898993088L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(10/1024.0L, 1e+05L), 100002.38431454899771096037307519328741455615271038L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(1, 1e-20L), 1.0000000000000000000000000000000000000000166666667e-20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(1e-20L, 1e-20L), 1.000000000000000e-20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(400/1024.0L, 1e+20L), 1.0418143796499216839719289963154558027005142709763e20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 2), 2.1765877052210673672479877957388515321497888026770L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 4), 4.2543274975235836861894752787874633017836785640477L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 6), 6.4588766202317746302999080620490579800463614807916L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 10), 10.697409951222544858346795279378531495869386960090L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -2), -2.1765877052210673672479877957388515321497888026770L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -4), -4.2543274975235836861894752787874633017836785640477L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -6), -6.4588766202317746302999080620490579800463614807916L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -10), -10.697409951222544858346795279378531495869386960090L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_2l(0, 0), 0, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(0, -10), -10, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-1, -1), -0.84147098480789650665250232163029899962256306079837L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(900 / 1024.0L, -4), -3.1756145986492562317862928524528520686391383168377L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-600 / 1024.0L, 8), 7.2473147180505693037677015377802777959345489333465L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(800 / 1024.0L, 1e-05L), 9.999999999898274739584436515967055859383969942432E-6L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(100 / 1024.0L, 1e+05L), 99761.153306972066658135668386691227343323331995888L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-0.5L, 1e+10L), 9.3421545766487137036576748555295222252286528414669e9L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(400 / 1024.0L, ldexpl(1, 66)), 7.0886102721911705466476846969992069994308167515242e19L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_3l(0, 1, -1), -1.557407724654902230506974807458360173087L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.4L, 0, -4), -4.153623371196831087495427530365430979011L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(-0.6L, 0, 8), 8.935930619078575123490612395578518914416L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 0, 0.5L), 0.501246705365439492445236118603525029757890291780157969500480L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0, 0.5L), 0.5L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, -2, 0.5L), 0.437501067017546278595664813509803743009132067629603474488486L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.25L, 0.5L), 0.510269830229213412212501938035914557628394166585442994564135L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.75L, 0.5L), 0.533293253875952645421201146925578536430596894471541312806165L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.75L, 0.75), 0.871827580412760575085768367421866079353646112288567703061975L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 1, 0.25L), 0.255341921221036266504482236490473678204201638800822621740476L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 2, 0.25L), 0.261119051639220165094943572468224137699644963125853641716219L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 1023/1024.0L, 1.5), 13.2821612239764190363647953338544569682942329604483733197131L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.5L, 0.5L, -1), -1.228014414316220642611298946293865487807L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.5L, 0.5L, 1e+10L), 1.536591003599172091573590441336982730551e+10L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.75L, -1e+05L, 10), 0.0347926099493147087821620459290460547131012904008557007934290L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 10), 0.000109956202759561502329123384755016959364346382187364656768212L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 1e+20L), 1.00000626665567332602765201107198822183913978895904937646809e15L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 1608/1024.0L), 0.0000157080616044072676127333183571107873332593142625043567690379L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, 1-1 / 1024.0L, 1e+20L), 6.43274293944380717581167058274600202023334985100499739678963e21L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 50, 0.1L), 0.124573770342749525407523258569507331686458866564082916835900L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 1.125L, 1), 1.77299767784815770192352979665283069318388205110727241629752L, eps * 5000, __LINE__);
+
+   check_close_l(expintl(1/1024.0L), -6.35327933972759151358547423727042905862963067106751711596065L, eps * 5000, __LINE__);
+   check_close_l(expintl(0.125), -1.37320852494298333781545045921206470808223543321810480716122L, eps * 5000, __LINE__);
+   check_close_l(expintl(0.5), 0.454219904863173579920523812662802365281405554352642045162818L, eps * 5000, __LINE__);
+   check_close_l(expintl(1), 1.89511781635593675546652093433163426901706058173270759164623L, eps * 5000, __LINE__);
+   check_close_l(expintl(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20L, eps * 5000, __LINE__);
+   check_close_l(expintl(-1/1024.0L), -6.35523246483107180261445551935803221293763008553775821607264L, eps * 5000, __LINE__);
+   check_close_l(expintl(-0.125), -1.62342564058416879145630692462440887363310605737209536579267L, eps * 5000, __LINE__);
+   check_close_l(expintl(-0.5), -0.559773594776160811746795939315085235226846890316353515248293L, eps * 5000, __LINE__);
+   check_close_l(expintl(-1), -0.219383934395520273677163775460121649031047293406908207577979L, eps * 5000, __LINE__);
+   check_close_l(expintl(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24L, eps * 5000, __LINE__);
+
+   check_close_fraction_l(hermitel(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 1e6), 2e6L, 100 * eps, __LINE__);
+   //check_close_fraction_l(hermitel(10, 30), 5.896624628001300E+17L, 100 * eps, __LINE__);
+   //check_close_fraction_l(hermitel(10, 1000), 1.023976960161280E+33L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(10, 10), 8.093278209760000E+12L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(10, -10), 8.093278209760000E+12L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -10), -7.880000000000000E+3L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -1000), -7.999988000000000E+9L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -1000000), -7.999999999988000E+18L, 100 * eps, __LINE__);
+
+   check_close_l(riemann_zetal(0.125), -0.63277562349869525529352526763564627152686379131122L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1023 / 1024.0L), -1023.4228554489429786541032870895167448906103303056L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1025 / 1024.0L), 1024.5772867695045940578681624248887776501597556226L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(0.5L), -1.46035450880958681288949915251529801246722933101258149054289L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1.125L), 8.5862412945105752999607544082693023591996301183069L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(2), 1.6449340668482264364724151666460251892189499012068L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(3.5L), 1.1267338673170566464278124918549842722219969574036L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4), 1.08232323371113819151600369654116790277475095191872690768298L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4 + 1 / 1024.0L), 1.08225596856391369799036835439238249195298434901488518878804L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4.5L), 1.05470751076145426402296728896028011727249383295625173068468L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(6.5L), 1.01200589988852479610078491680478352908773213619144808841031L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(7.5L), 1.00582672753652280770224164440459408011782510096320822989663L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(8.125L), 1.0037305205308161603183307711439385250181080293472L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(16.125L), 1.0000140128224754088474783648500235958510030511915L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(0), -0.5L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-0.125L), -0.39906966894504503550986928301421235400280637468895L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-1), -0.083333333333333333333333333333333333333333333333333L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-2), 0, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-2.5L), 0.0085169287778503305423585670283444869362759902200745L, eps * 5000 * 3, __LINE__);
+   check_close_l(riemann_zetal(-3), 0.0083333333333333333333333333333333333333333333333333L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-4), 0, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close_l(riemann_zetal(-21), -281.46014492753623188405797101449275362318840579710L, eps * 5000 * 100, __LINE__);
+   check_close_l(riemann_zetal(-30.125L), 2.2762941726834511267740045451463455513839970804578e7L, eps * 5000 * 100, __LINE__);
+
+   check_close_l(sph_bessell(0, 0.1433600485324859619140625e-1L), 0.9999657468461303487880990241993035937654e0L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(0, 0.1760916970670223236083984375e-1L), 0.9999483203249623334100130061926184665364e0L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(2, 0.1433600485324859619140625e-1L), 0.1370120120703995134662099191103188366059e-4L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(2, 0.1760916970670223236083984375e-1L), 0.2067173265753174063228459655801741280461e-4L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(7, 0.1252804412841796875e3L), 0.7887555711993028736906736576314283291289e-2L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(7, 0.25554705810546875e3L), -0.1463292767579579943284849187188066532514e-2L,  eps * 5000 * 100, __LINE__);
+
+   check_close_l(sph_neumannl(0, 0.408089816570281982421875e0L), -0.2249212131304610409189209411089291558038e1L, eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(0, 0.6540834903717041015625e0L), -0.1213309779166084571756446746977955970241e1L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(2, 0.408089816570281982421875e0L), -0.4541702641837159203058389758895634766256e2L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(2, 0.6540834903717041015625e0L), -0.1156112621471167110574129561700037138981e2L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(10, 0.1097540378570556640625e1L), -0.2427889658115064857278886600528596240123e9L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(10, 0.30944411754608154296875e1L), -0.3394649246350136450439882104151313759251e4L,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction_l(sph_legendrel(3, 2, 0.5L), 0.2061460599687871330692286791802688341213L, eps * 5000, __LINE__);
+   check_close_fraction_l(sph_legendrel(40, 15, 0.75L), -0.406036847302819452666908966769096223205057182668333862900509L, eps * 5000, __LINE__);
+#endif
+#endif
+}
+
+int main(int argc, char* argv[])
+{
+#ifndef TEST_LD
+   test_values_f("float");
+   test_values("double");
+#else
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_valuesl("long double");
+#endif
+#endif
+   return errors;
+}
diff --git a/src/boost/libs/math/test/test_tr1.cpp b/src/boost/libs/math/test/test_tr1.cpp
new file mode 100644
index 00000000..ec7c883f
--- /dev/null
+++ b/src/boost/libs/math/test/test_tr1.cpp
@@ -0,0 +1,1627 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <math.h>  // ldexpf
+#include <iostream>
+#include <iomanip>
+
+#ifdef TEST_STD
+#include <cmath>
+namespace tr1 = std::tr1;
+#else
+#include <boost/math/tr1.hpp>
+namespace tr1 = boost::math::tr1;
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+// Can't just comment parameter out because reference or not depends on macro define.
+#endif
+
+void test_values(float, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   float eps = boost::math::tools::epsilon<float>();
+   BOOST_CHECK_CLOSE(tr1::acoshf(std::cosh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinhf(std::sinh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanhf(std::tanh(0.5f)), 0.5f, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrtf(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysignf(1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysignf(1.0f, -1.0f) == -1.0f);
+   BOOST_CHECK(tr1::copysignf(-1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysignf(-1.0f, -1.0f) == -1.0f);
+
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0.125)), static_cast<float>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0.5)), static_cast<float>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(1)), static_cast<float>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(5)), static_cast<float>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(-0.125)), static_cast<float>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(-0.5)), static_cast<float>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0)), static_cast<float>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0.125)), static_cast<float>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0.5)), static_cast<float>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(1)), static_cast<float>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(5)), static_cast<float>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(-0.125)), static_cast<float>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(-0.5)), static_cast<float>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0)), static_cast<float>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1pf(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1f(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1pf(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1f(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmaxf(0.1f, -0.1f), 0.1f);
+   BOOST_CHECK_EQUAL(tr1::fminf(0.1f, -0.1f), -0.1f);
+
+   BOOST_CHECK_CLOSE(tr1::hypotf(1.0f, 3.0f), std::sqrt(10.0f), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(3.5)), static_cast<float>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(0.125)), static_cast<float>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-0.125)), static_cast<float>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-3.125)), static_cast<float>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-53249.0/1024)), static_cast<float>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(3.5)), static_cast<float>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(0.125)), static_cast<float>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(-0.125)), static_cast<float>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(-3.125)), static_cast<float>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llroundf(2.5f) == 3LL);
+   BOOST_CHECK(tr1::llroundf(2.25f) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lroundf(2.5f) == 3L);
+   BOOST_CHECK(tr1::lroundf(2.25f) == 2L);
+   BOOST_CHECK(tr1::roundf(2.5f) == 3.0f);
+   BOOST_CHECK(tr1::roundf(2.25f) == 2.0f);
+
+   BOOST_CHECK(tr1::nextafterf(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, -2.0f), 2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, -2.0f), 2.0f) == 1.0f);
+
+   BOOST_CHECK(tr1::truncf(2.5f) == 2.0f);
+   BOOST_CHECK(tr1::truncf(2.25f) == 2.0f);
+
+   //
+   // And again but without the "f" suffix on the function names:
+   //
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5f)), 0.5f, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysign(1.0f, -1.0f) == -1.0f);
+   BOOST_CHECK(tr1::copysign(-1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysign(-1.0f, -1.0f) == -1.0f);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0.125)), static_cast<float>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0.5)), static_cast<float>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(1)), static_cast<float>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(5)), static_cast<float>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(-0.125)), static_cast<float>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(-0.5)), static_cast<float>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0)), static_cast<float>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0.125)), static_cast<float>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0.5)), static_cast<float>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(1)), static_cast<float>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(5)), static_cast<float>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(-0.125)), static_cast<float>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(-0.5)), static_cast<float>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0)), static_cast<float>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1f, -0.1f), 0.1f);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1f, -0.1f), -0.1f);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0f, 3.0f), std::sqrt(10.0f), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(3.5)), static_cast<float>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(0.125)), static_cast<float>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-0.125)), static_cast<float>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-3.125)), static_cast<float>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-53249.0/1024)), static_cast<float>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(3.5)), static_cast<float>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(0.125)), static_cast<float>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(-0.125)), static_cast<float>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(-3.125)), static_cast<float>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5f) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25f) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5f) == 3L);
+   BOOST_CHECK(tr1::lround(2.25f) == 2L);
+   BOOST_CHECK(tr1::round(2.5f) == 3.0f);
+   BOOST_CHECK(tr1::round(2.25f) == 2.0f);
+
+   BOOST_CHECK(tr1::nextafter(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, -2.0f), 2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, -2.0f), 2.0f) == 1.0f);
+
+   BOOST_CHECK(tr1::trunc(2.5f) == 2.0f);
+   BOOST_CHECK(tr1::trunc(2.25f) == 2.0f);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(4, 5, static_cast<float>(0.5L)), static_cast<float>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 0, static_cast<float>(2.5L)), static_cast<float>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 1, static_cast<float>(4.5L)), static_cast<float>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 6, static_cast<float>(8.5L)), static_cast<float>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 12, static_cast<float>(12.5L)), static_cast<float>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(50, 40, static_cast<float>(12.5L)), static_cast<float>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(0.5L)), static_cast<float>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(0.5L)), static_cast<float>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(0.5L)), static_cast<float>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(0.5L)), static_cast<float>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(-0.5L)), static_cast<float>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(-0.5L)), static_cast<float>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(-0.5L)), static_cast<float>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(-0.5L)), static_cast<float>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(-0.5L)), static_cast<float>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(4.5L)), static_cast<float>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(4.5L)), static_cast<float>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(4.5L)), static_cast<float>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(4.5L)), static_cast<float>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(4.5L)), static_cast<float>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(4, 2, static_cast<float>(0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(7, 5, static_cast<float>(0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(4, 2, static_cast<float>(-0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(7, 5, static_cast<float>(-0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(4, static_cast<float>(0.5L)), static_cast<float>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(7, static_cast<float>(0.5L)), static_cast<float>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(40, static_cast<float>(0.5L)), static_cast<float>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   float sv = eps / 1024;
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(1), static_cast<float>(1)), static_cast<float>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(1), static_cast<float>(4)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), static_cast<float>(1)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(sv, static_cast<float>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), static_cast<float>(20)), static_cast<float>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(0.0125L), static_cast<float>(0.000023L)), static_cast<float>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0.125)), static_cast<float>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0.25)), static_cast<float>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(300)/1024), static_cast<float>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(400)/1024), static_cast<float>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(-0.5)), static_cast<float>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(-0.75)), static_cast<float>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-1)), static_cast<float>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(100) / 1024), static_cast<float>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(200) / 1024), static_cast<float>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(300) / 1024), static_cast<float>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(400) / 1024), static_cast<float>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-0.5)), static_cast<float>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-600) / 1024), static_cast<float>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-800) / 1024), static_cast<float>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-900) / 1024), static_cast<float>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.2), static_cast<float>(0)), static_cast<float>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.4), static_cast<float>(0)), static_cast<float>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.3), static_cast<float>(-4)), static_cast<float>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.5), static_cast<float>(-1e+05)), static_cast<float>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.75), static_cast<float>(-1e+10)), static_cast<float>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.875), static_cast<float>(1) / 1024), static_cast<float>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.875), static_cast<float>(1023)/1024), static_cast<float>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(2.25), static_cast<float>(1)/(1024*1024)), static_cast<float>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-5) + static_cast<float>(1)/1024, static_cast<float>(2.125)), static_cast<float>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(50)), static_cast<float>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(2457)/1024, static_cast<float>(1)/1024), static_cast<float>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(3217)/1024), static_cast<float>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(1e+04)), static_cast<float>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(1e+06)), static_cast<float>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.125), static_cast<float>(1e+06)), static_cast<float>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.875), static_cast<float>(1e+06)), static_cast<float>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(0.5), static_cast<float>(101)), static_cast<float>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+06)), static_cast<float>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-0.5), static_cast<float>(101)), static_cast<float>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(15)), static_cast<float>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(10486074) / (1024*1024), static_cast<float>(2e+04)), static_cast<float>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(0.5), static_cast<float>(0.875)), static_cast<float>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(0.5), static_cast<float>(1.125)), static_cast<float>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(2.25), static_cast<float>(std::ldexp(1.0, -30))), static_cast<float>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(-5.5), static_cast<float>(100)), static_cast<float>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(10240)/1024, static_cast<float>(1)/1024), static_cast<float>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(10240)/1024, static_cast<float>(10)), static_cast<float>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(144793)/1024, static_cast<float>(100)), static_cast<float>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(144793)/1024, static_cast<float>(200)), static_cast<float>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(0.5), static_cast<float>(1) / (1024*1024)), static_cast<float>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-5.5), static_cast<float>(3.125)), static_cast<float>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(141.75), static_cast<float>(1e+02)), static_cast<float>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(141.75), static_cast<float>(2e+04)), static_cast<float>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-141.75), static_cast<float>(1e+02)), static_cast<float>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.875), static_cast<float>(-4)), static_cast<float>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(-0.625), static_cast<float>(8)), static_cast<float>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.875), static_cast<float>(1e-05)), static_cast<float>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(10)/1024, static_cast<float>(1e+05)), static_cast<float>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(1), static_cast<float>(1e-20)), static_cast<float>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(1e-20), static_cast<float>(1e-20)), static_cast<float>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(400)/1024, static_cast<float>(1e+20)), static_cast<float>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(2)), static_cast<float>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(4)), static_cast<float>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(6)), static_cast<float>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(10)), static_cast<float>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-2)), static_cast<float>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-4)), static_cast<float>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-6)), static_cast<float>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-10)), static_cast<float>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(900) / 1024, static_cast<float>(-4)), static_cast<float>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-600) / 1024, static_cast<float>(8)), static_cast<float>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(800) / 1024, static_cast<float>(1e-05)), static_cast<float>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(100) / 1024, static_cast<float>(1e+05)), static_cast<float>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-0.5), static_cast<float>(1e+10)), static_cast<float>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(400) / 1024, ldexp(static_cast<float>(1), 66)), static_cast<float>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1), static_cast<float>(-1)), static_cast<float>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.4), static_cast<float>(0), static_cast<float>(-4)), static_cast<float>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(-0.6), static_cast<float>(0), static_cast<float>(8)), static_cast<float>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(-2), static_cast<float>(0.5)), static_cast<float>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.25), static_cast<float>(0.5)), static_cast<float>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.5)), static_cast<float>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.75)), static_cast<float>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1), static_cast<float>(0.25)), static_cast<float>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(2), static_cast<float>(0.25)), static_cast<float>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1023)/1024, static_cast<float>(1.5)), static_cast<float>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(-1)), static_cast<float>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(1e+10)), static_cast<float>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.75), static_cast<float>(-1e+05), static_cast<float>(10)), static_cast<float>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(10)), static_cast<float>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1e+20)), static_cast<float>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1608)/1024), static_cast<float>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), 1-static_cast<float>(1) / 1024, static_cast<float>(1e+20)), static_cast<float>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(50), static_cast<float>(0.1)), static_cast<float>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(1.125), static_cast<float>(1)), static_cast<float>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(1)/1024), static_cast<float>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(0.125)), static_cast<float>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(0.5)), static_cast<float>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(1)), static_cast<float>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(50.5)), static_cast<float>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-1)/1024), static_cast<float>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-0.125)), static_cast<float>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-0.5)), static_cast<float>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-1)), static_cast<float>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-50.5)), static_cast<float>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(0, static_cast<float>(1)), static_cast<float>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(1)), static_cast<float>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(2)), static_cast<float>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(10)), static_cast<float>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(100)), static_cast<float>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(1e6)), static_cast<float>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(30)), static_cast<float>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(1000)), static_cast<float>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(-10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-10)), static_cast<float>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-1000)), static_cast<float>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-1000000)), static_cast<float>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0.125)), static_cast<float>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1023) / static_cast<float>(1024)), static_cast<float>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1025) / static_cast<float>(1024)), static_cast<float>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0.5)), static_cast<float>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1.125)), static_cast<float>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(2)), static_cast<float>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(3.5)), static_cast<float>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(4)), static_cast<float>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(4 + static_cast<float>(1) / 1024), static_cast<float>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(4.5)), static_cast<float>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(6.5)), static_cast<float>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(7.5)), static_cast<float>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(8.125)), static_cast<float>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(16.125)), static_cast<float>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0)), static_cast<float>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-0.125)), static_cast<float>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-1)), static_cast<float>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-2)), static_cast<float>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-2.5)), static_cast<float>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-3)), static_cast<float>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-4)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-20)), static_cast<float>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-21)), static_cast<float>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-30.125)), static_cast<float>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_besself(0, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(0, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(2, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(2, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(7, static_cast<float>(0.1252804412841796875e3)), static_cast<float>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(7, static_cast<float>(0.25554705810546875e3)), static_cast<float>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(0, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(0, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(2, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(2, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(10, static_cast<float>(0.1097540378570556640625e1)), static_cast<float>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(10, static_cast<float>(0.30944411754608154296875e1)), static_cast<float>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendref(3, 2, static_cast<float>(0.5)), static_cast<float>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendref(40, 15, static_cast<float>(0.75)), static_cast<float>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+
+   //
+   // Now all over again but without the "f" suffix on the function names this time:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4, 5, static_cast<float>(0.5L)), static_cast<float>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 0, static_cast<float>(2.5L)), static_cast<float>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 1, static_cast<float>(4.5L)), static_cast<float>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 6, static_cast<float>(8.5L)), static_cast<float>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 12, static_cast<float>(12.5L)), static_cast<float>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50, 40, static_cast<float>(12.5L)), static_cast<float>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(0.5L)), static_cast<float>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(0.5L)), static_cast<float>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(0.5L)), static_cast<float>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(0.5L)), static_cast<float>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(-0.5L)), static_cast<float>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(-0.5L)), static_cast<float>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(-0.5L)), static_cast<float>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(-0.5L)), static_cast<float>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(-0.5L)), static_cast<float>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(4.5L)), static_cast<float>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(4.5L)), static_cast<float>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(4.5L)), static_cast<float>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(4.5L)), static_cast<float>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(4.5L)), static_cast<float>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<float>(0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<float>(0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<float>(-0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<float>(-0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4, static_cast<float>(0.5L)), static_cast<float>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7, static_cast<float>(0.5L)), static_cast<float>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40, static_cast<float>(0.5L)), static_cast<float>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(1), static_cast<float>(1)), static_cast<float>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(1), static_cast<float>(4)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), static_cast<float>(1)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<float>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), static_cast<float>(20)), static_cast<float>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(0.0125L), static_cast<float>(0.000023L)), static_cast<float>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0.125)), static_cast<float>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0.25)), static_cast<float>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(300)/1024), static_cast<float>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(400)/1024), static_cast<float>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(-0.5)), static_cast<float>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(-0.75)), static_cast<float>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-1)), static_cast<float>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(100) / 1024), static_cast<float>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(200) / 1024), static_cast<float>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(300) / 1024), static_cast<float>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(400) / 1024), static_cast<float>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-0.5)), static_cast<float>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-600) / 1024), static_cast<float>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-800) / 1024), static_cast<float>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-900) / 1024), static_cast<float>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.2), static_cast<float>(0)), static_cast<float>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.4), static_cast<float>(0)), static_cast<float>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.3), static_cast<float>(-4)), static_cast<float>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.5), static_cast<float>(-1e+05)), static_cast<float>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.75), static_cast<float>(-1e+10)), static_cast<float>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.875), static_cast<float>(1) / 1024), static_cast<float>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.875), static_cast<float>(1023)/1024), static_cast<float>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(2.25), static_cast<float>(1)/(1024*1024)), static_cast<float>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-5) + static_cast<float>(1)/1024, static_cast<float>(2.125)), static_cast<float>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(50)), static_cast<float>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(2457)/1024, static_cast<float>(1)/1024), static_cast<float>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(3217)/1024), static_cast<float>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(1e+04)), static_cast<float>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(1e+06)), static_cast<float>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.125), static_cast<float>(1e+06)), static_cast<float>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.875), static_cast<float>(1e+06)), static_cast<float>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(0.5), static_cast<float>(101)), static_cast<float>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+06)), static_cast<float>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-0.5), static_cast<float>(101)), static_cast<float>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(15)), static_cast<float>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(10486074) / (1024*1024), static_cast<float>(2e+04)), static_cast<float>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(0.5), static_cast<float>(0.875)), static_cast<float>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(0.5), static_cast<float>(1.125)), static_cast<float>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(2.25), static_cast<float>(std::ldexp(1.0, -30))), static_cast<float>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(-5.5), static_cast<float>(100)), static_cast<float>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(10240)/1024, static_cast<float>(1)/1024), static_cast<float>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(10240)/1024, static_cast<float>(10)), static_cast<float>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(144793)/1024, static_cast<float>(100)), static_cast<float>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(144793)/1024, static_cast<float>(200)), static_cast<float>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(0.5), static_cast<float>(1) / (1024*1024)), static_cast<float>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-5.5), static_cast<float>(3.125)), static_cast<float>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(141.75), static_cast<float>(1e+02)), static_cast<float>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(141.75), static_cast<float>(2e+04)), static_cast<float>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-141.75), static_cast<float>(1e+02)), static_cast<float>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.875), static_cast<float>(-4)), static_cast<float>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(-0.625), static_cast<float>(8)), static_cast<float>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.875), static_cast<float>(1e-05)), static_cast<float>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(10)/1024, static_cast<float>(1e+05)), static_cast<float>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(1), static_cast<float>(1e-20)), static_cast<float>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(1e-20), static_cast<float>(1e-20)), static_cast<float>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(400)/1024, static_cast<float>(1e+20)), static_cast<float>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(2)), static_cast<float>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(4)), static_cast<float>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(6)), static_cast<float>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(10)), static_cast<float>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-2)), static_cast<float>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-4)), static_cast<float>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-6)), static_cast<float>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-10)), static_cast<float>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(900) / 1024, static_cast<float>(-4)), static_cast<float>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-600) / 1024, static_cast<float>(8)), static_cast<float>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(800) / 1024, static_cast<float>(1e-05)), static_cast<float>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(100) / 1024, static_cast<float>(1e+05)), static_cast<float>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-0.5), static_cast<float>(1e+10)), static_cast<float>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(400) / 1024, static_cast<float>(ldexp(static_cast<double>(1), 66))), static_cast<float>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1), static_cast<float>(-1)), static_cast<float>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.4), static_cast<float>(0), static_cast<float>(-4)), static_cast<float>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(-0.6), static_cast<float>(0), static_cast<float>(8)), static_cast<float>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(-2), static_cast<float>(0.5)), static_cast<float>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.25), static_cast<float>(0.5)), static_cast<float>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.5)), static_cast<float>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.75)), static_cast<float>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1), static_cast<float>(0.25)), static_cast<float>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(2), static_cast<float>(0.25)), static_cast<float>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1023)/1024, static_cast<float>(1.5)), static_cast<float>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(-1)), static_cast<float>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(1e+10)), static_cast<float>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.75), static_cast<float>(-1e+05), static_cast<float>(10)), static_cast<float>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(10)), static_cast<float>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1e+20)), static_cast<float>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1608)/1024), static_cast<float>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), 1-static_cast<float>(1) / 1024, static_cast<float>(1e+20)), static_cast<float>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(50), static_cast<float>(0.1)), static_cast<float>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(1.125), static_cast<float>(1)), static_cast<float>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(1)/1024), static_cast<float>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(0.125)), static_cast<float>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(0.5)), static_cast<float>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(1)), static_cast<float>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(50.5)), static_cast<float>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-1)/1024), static_cast<float>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-0.125)), static_cast<float>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-0.5)), static_cast<float>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-1)), static_cast<float>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-50.5)), static_cast<float>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0, static_cast<float>(1)), static_cast<float>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(1)), static_cast<float>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(2)), static_cast<float>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(10)), static_cast<float>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(100)), static_cast<float>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(1e6)), static_cast<float>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(30)), static_cast<float>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(1000)), static_cast<float>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(-10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-10)), static_cast<float>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-1000)), static_cast<float>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-1000000)), static_cast<float>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0.125)), static_cast<float>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1023) / static_cast<float>(1024)), static_cast<float>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1025) / static_cast<float>(1024)), static_cast<float>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0.5)), static_cast<float>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1.125)), static_cast<float>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(2)), static_cast<float>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(3.5)), static_cast<float>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(4)), static_cast<float>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4 + static_cast<float>(1) / 1024), static_cast<float>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(4.5)), static_cast<float>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(6.5)), static_cast<float>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(7.5)), static_cast<float>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(8.125)), static_cast<float>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(16.125)), static_cast<float>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0)), static_cast<float>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-0.125)), static_cast<float>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-1)), static_cast<float>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-2)), static_cast<float>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-2.5)), static_cast<float>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-3)), static_cast<float>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-4)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-20)), static_cast<float>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-21)), static_cast<float>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-30.125)), static_cast<float>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<float>(0.1252804412841796875e3)), static_cast<float>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<float>(0.25554705810546875e3)), static_cast<float>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<float>(0.1097540378570556640625e1)), static_cast<float>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<float>(0.30944411754608154296875e1)), static_cast<float>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3, 2, static_cast<float>(0.5)), static_cast<float>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40, 15, static_cast<float>(0.75)), static_cast<float>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+#endif
+}
+
+void test_values(double, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+#ifndef TEST_LD
+   double eps = boost::math::tools::epsilon<double>();
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5)), 0.5, 500 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5)), 0.5, 500 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5)), 0.5, 500 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5 * 1.5 * 1.5), 1.5, 500 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0, 1.0) == 1.0);
+   BOOST_CHECK(tr1::copysign(1.0, -1.0) == -1.0);
+   BOOST_CHECK(tr1::copysign(-1.0, 1.0) == 1.0);
+   BOOST_CHECK(tr1::copysign(-1.0, -1.0) == -1.0);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0.125)), static_cast<double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0.5)), static_cast<double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(1)), static_cast<double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(5)), static_cast<double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(-0.125)), static_cast<double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(-0.5)), static_cast<double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0)), static_cast<double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0.125)), static_cast<double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0.5)), static_cast<double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(1)), static_cast<double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(5)), static_cast<double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(-0.125)), static_cast<double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(-0.5)), static_cast<double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0)), static_cast<double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<double>(0.582029759883880615234375e0)), static_cast<double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<double>(0.582029759883880615234375e0)), static_cast<double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<double>(-0.2047410048544406890869140625e-1)), static_cast<double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<double>(-0.2047410048544406890869140625e-1)), static_cast<double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1, -0.1), 0.1);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1, -0.1), -0.1);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0, 3.0), std::sqrt(10.0), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(3.5)), static_cast<double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(0.125)), static_cast<double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-0.125)), static_cast<double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-3.125)), static_cast<double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-53249.0/1024)), static_cast<double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(3.5)), static_cast<double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(0.125)), static_cast<double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(-0.125)), static_cast<double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(-3.125)), static_cast<double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5) == 3L);
+   BOOST_CHECK(tr1::lround(2.25) == 2L);
+   BOOST_CHECK(tr1::round(2.5) == 3.0);
+   BOOST_CHECK(tr1::round(2.25) == 2.0);
+
+   BOOST_CHECK(tr1::nextafter(1.0, 2.0) > 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, -2.0) < 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, 2.0), -2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, -2.0), 2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, 2.0) > 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, -2.0) < 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, 2.0), -2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, -2.0), 2.0) == 1.0);
+
+   BOOST_CHECK(tr1::trunc(2.5) == 2.0);
+   BOOST_CHECK(tr1::trunc(2.25) == 2.0);
+
+   //
+   // Now the TR1 functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4, 5, static_cast<double>(0.5L)), static_cast<double>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 0, static_cast<double>(2.5L)), static_cast<double>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 1, static_cast<double>(4.5L)), static_cast<double>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 6, static_cast<double>(8.5L)), static_cast<double>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 12, static_cast<double>(12.5L)), static_cast<double>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50, 40, static_cast<double>(12.5L)), static_cast<double>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(0.5L)), static_cast<double>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(0.5L)), static_cast<double>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(0.5L)), static_cast<double>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(0.5L)), static_cast<double>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(0.5L)), static_cast<double>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(-0.5L)), static_cast<double>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(-0.5L)), static_cast<double>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(-0.5L)), static_cast<double>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(-0.5L)), static_cast<double>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(-0.5L)), static_cast<double>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(4.5L)), static_cast<double>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(4.5L)), static_cast<double>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(4.5L)), static_cast<double>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(4.5L)), static_cast<double>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(4.5L)), static_cast<double>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<double>(0.5L)), static_cast<double>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<double>(0.5L)), static_cast<double>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<double>(-0.5L)), static_cast<double>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<double>(-0.5L)), static_cast<double>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1, static_cast<double>(0.5L)), static_cast<double>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4, static_cast<double>(0.5L)), static_cast<double>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7, static_cast<double>(0.5L)), static_cast<double>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40, static_cast<double>(0.5L)), static_cast<double>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   double sv = eps / 1024;
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(1), static_cast<double>(1)), static_cast<double>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(1), static_cast<double>(4)), static_cast<double>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), static_cast<double>(1)), static_cast<double>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<double>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), static_cast<double>(20)), static_cast<double>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(0.0125L), static_cast<double>(0.000023L)), static_cast<double>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0)), static_cast<double>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0.125)), static_cast<double>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0.25)), static_cast<double>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(300)/1024), static_cast<double>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(400)/1024), static_cast<double>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(-0.5)), static_cast<double>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(-0.75)), static_cast<double>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-1)), static_cast<double>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(0)), static_cast<double>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(100) / 1024), static_cast<double>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(200) / 1024), static_cast<double>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(300) / 1024), static_cast<double>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(400) / 1024), static_cast<double>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-0.5)), static_cast<double>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-600) / 1024), static_cast<double>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-800) / 1024), static_cast<double>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-900) / 1024), static_cast<double>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.2), static_cast<double>(0)), static_cast<double>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.4), static_cast<double>(0)), static_cast<double>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.3), static_cast<double>(-4)), static_cast<double>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.5), static_cast<double>(-1e+05)), static_cast<double>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.75), static_cast<double>(-1e+10)), static_cast<double>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.875), static_cast<double>(1) / 1024), static_cast<double>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.875), static_cast<double>(1023)/1024), static_cast<double>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(2.25), static_cast<double>(1)/(1024*1024)), static_cast<double>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(5.5), static_cast<double>(3.125)), static_cast<double>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-5) + static_cast<double>(1)/1024, static_cast<double>(2.125)), static_cast<double>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-5.5), static_cast<double>(10)), static_cast<double>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-10486074)/(1024*1024), static_cast<double>(1)/1024), static_cast<double>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-10486074)/(1024*1024), static_cast<double>(50)), static_cast<double>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(144794)/1024, static_cast<double>(100)), static_cast<double>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-144794)/1024, static_cast<double>(100)), static_cast<double>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(2457)/1024, static_cast<double>(1)/1024), static_cast<double>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(3217)/1024), static_cast<double>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(3217)/1024), static_cast<double>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(1e+04)), static_cast<double>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(1e+06)), static_cast<double>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.125), static_cast<double>(1e+06)), static_cast<double>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.875), static_cast<double>(1e+06)), static_cast<double>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(0.5), static_cast<double>(101)), static_cast<double>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+06)), static_cast<double>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-0.5), static_cast<double>(101)), static_cast<double>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1)/1024), static_cast<double>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(15)), static_cast<double>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(10486074) / (1024*1024), static_cast<double>(2e+04)), static_cast<double>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(0.5), static_cast<double>(0.875)), static_cast<double>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(0.5), static_cast<double>(1.125)), static_cast<double>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(2.25), static_cast<double>(std::ldexp(1.0, -30))), static_cast<double>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(5.5), static_cast<double>(3217)/1024), static_cast<double>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(-5.5), static_cast<double>(10)), static_cast<double>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(-5.5), static_cast<double>(100)), static_cast<double>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(10240)/1024, static_cast<double>(1)/1024), static_cast<double>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(10240)/1024, static_cast<double>(10)), static_cast<double>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(144793)/1024, static_cast<double>(100)), static_cast<double>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(144793)/1024, static_cast<double>(200)), static_cast<double>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(0.5), static_cast<double>(1) / (1024*1024)), static_cast<double>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(5.5), static_cast<double>(3.125)), static_cast<double>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-5.5), static_cast<double>(3.125)), static_cast<double>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1)/1024), static_cast<double>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(141.75), static_cast<double>(1e+02)), static_cast<double>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(141.75), static_cast<double>(2e+04)), static_cast<double>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-141.75), static_cast<double>(1e+02)), static_cast<double>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0), static_cast<double>(-10)), static_cast<double>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(-1), static_cast<double>(-1)), static_cast<double>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.875), static_cast<double>(-4)), static_cast<double>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(-0.625), static_cast<double>(8)), static_cast<double>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.875), static_cast<double>(1e-05)), static_cast<double>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(10)/1024, static_cast<double>(1e+05)), static_cast<double>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(1), static_cast<double>(1e-20)), static_cast<double>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(1e-20), static_cast<double>(1e-20)), static_cast<double>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(400)/1024, static_cast<double>(1e+20)), static_cast<double>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(2)), static_cast<double>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(4)), static_cast<double>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(6)), static_cast<double>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(10)), static_cast<double>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-2)), static_cast<double>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-4)), static_cast<double>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-6)), static_cast<double>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-10)), static_cast<double>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(0), static_cast<double>(-10)), static_cast<double>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-1), static_cast<double>(-1)), static_cast<double>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(900) / 1024, static_cast<double>(-4)), static_cast<double>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-600) / 1024, static_cast<double>(8)), static_cast<double>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(800) / 1024, static_cast<double>(1e-05)), static_cast<double>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(100) / 1024, static_cast<double>(1e+05)), static_cast<double>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-0.5), static_cast<double>(1e+10)), static_cast<double>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(400) / 1024, ldexp(static_cast<double>(1), 66)), static_cast<double>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1), static_cast<double>(-1)), static_cast<double>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.4), static_cast<double>(0), static_cast<double>(-4)), static_cast<double>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(-0.6), static_cast<double>(0), static_cast<double>(8)), static_cast<double>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(-2), static_cast<double>(0.5)), static_cast<double>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.25), static_cast<double>(0.5)), static_cast<double>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.75), static_cast<double>(0.5)), static_cast<double>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.75), static_cast<double>(0.75)), static_cast<double>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1), static_cast<double>(0.25)), static_cast<double>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(2), static_cast<double>(0.25)), static_cast<double>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1023)/1024, static_cast<double>(1.5)), static_cast<double>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.5), static_cast<double>(0.5), static_cast<double>(-1)), static_cast<double>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.5), static_cast<double>(0.5), static_cast<double>(1e+10)), static_cast<double>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.75), static_cast<double>(-1e+05), static_cast<double>(10)), static_cast<double>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(10)), static_cast<double>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(1e+20)), static_cast<double>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(1608)/1024), static_cast<double>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), 1-static_cast<double>(1) / 1024, static_cast<double>(1e+20)), static_cast<double>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(50), static_cast<double>(0.1)), static_cast<double>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(1.125), static_cast<double>(1)), static_cast<double>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(1)/1024), static_cast<double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(0.125)), static_cast<double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(0.5)), static_cast<double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(1)), static_cast<double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(50.5)), static_cast<double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-1)/1024), static_cast<double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-0.125)), static_cast<double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-0.5)), static_cast<double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-1)), static_cast<double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-50.5)), static_cast<double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0, static_cast<double>(1)), static_cast<double>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(1)), static_cast<double>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(2)), static_cast<double>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(10)), static_cast<double>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(100)), static_cast<double>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(1e6)), static_cast<double>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(30)), static_cast<double>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(1000)), static_cast<double>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(10)), static_cast<double>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(-10)), static_cast<double>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-10)), static_cast<double>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-1000)), static_cast<double>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-1000000)), static_cast<double>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0.125)), static_cast<double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1023) / static_cast<double>(1024)), static_cast<double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1025) / static_cast<double>(1024)), static_cast<double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0.5)), static_cast<double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1.125)), static_cast<double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(2)), static_cast<double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(3.5)), static_cast<double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(4)), static_cast<double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4 + static_cast<double>(1) / 1024), static_cast<double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(4.5)), static_cast<double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(6.5)), static_cast<double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(7.5)), static_cast<double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(8.125)), static_cast<double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(16.125)), static_cast<double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0)), static_cast<double>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-0.125)), static_cast<double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-1)), static_cast<double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-2)), static_cast<double>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-2.5)), static_cast<double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-3)), static_cast<double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-4)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-20)), static_cast<double>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-21)), static_cast<double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-30.125)), static_cast<double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<double>(0.1433600485324859619140625e-1)), static_cast<double>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<double>(0.1760916970670223236083984375e-1)), static_cast<double>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<double>(0.1433600485324859619140625e-1)), static_cast<double>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<double>(0.1760916970670223236083984375e-1)), static_cast<double>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<double>(0.1252804412841796875e3)), static_cast<double>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<double>(0.25554705810546875e3)), static_cast<double>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<double>(0.408089816570281982421875e0)), static_cast<double>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<double>(0.6540834903717041015625e0)), static_cast<double>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<double>(0.408089816570281982421875e0)), static_cast<double>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<double>(0.6540834903717041015625e0)), static_cast<double>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<double>(0.1097540378570556640625e1)), static_cast<double>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<double>(0.30944411754608154296875e1)), static_cast<double>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3, 2, static_cast<double>(0.5)), static_cast<double>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40, 15, static_cast<double>(0.75)), static_cast<double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+#endif
+}
+
+void test_values(long double, const char* name)
+{
+#ifdef TEST_LD
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   std::cout << "Testing type " << name << std::endl;
+
+   long double eps = boost::math::tools::epsilon<long double>();
+   BOOST_CHECK_CLOSE(tr1::acoshl(std::cosh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinhl(std::sinh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanhl(std::tanh(0.5L)), 0.5L, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrtl(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysignl(1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysignl(1.0L, -1.0L) == -1.0L);
+   BOOST_CHECK(tr1::copysignl(-1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysignl(-1.0L, -1.0L) == -1.0L);
+
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0.125)), static_cast<long double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0.5)), static_cast<long double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(1)), static_cast<long double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(5)), static_cast<long double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(-0.125)), static_cast<long double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(-0.5)), static_cast<long double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0)), static_cast<long double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0.125)), static_cast<long double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0.5)), static_cast<long double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(1)), static_cast<long double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(5)), static_cast<long double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(-0.125)), static_cast<long double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(-0.5)), static_cast<long double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0)), static_cast<long double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1pl(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1l(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1pl(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1l(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmaxl(0.1L, -0.1L), 0.1L);
+   BOOST_CHECK_EQUAL(tr1::fminl(0.1L, -0.1L), -0.1L);
+
+   BOOST_CHECK_CLOSE(tr1::hypotl(1.0L, 3.0L), std::sqrt(10.0L), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(3.5)), static_cast<long double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(0.125)), static_cast<long double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-0.125)), static_cast<long double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-3.125)), static_cast<long double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-53249.0/1024)), static_cast<long double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(3.5)), static_cast<long double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(0.125)), static_cast<long double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(-0.125)), static_cast<long double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(-3.125)), static_cast<long double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llroundl(2.5L) == 3LL);
+   BOOST_CHECK(tr1::llroundl(2.25L) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lroundl(2.5L) == 3L);
+   BOOST_CHECK(tr1::lroundl(2.25L) == 2L);
+   BOOST_CHECK(tr1::roundl(2.5L) == 3.0L);
+   BOOST_CHECK(tr1::roundl(2.25L) == 2.0L);
+
+   BOOST_CHECK(tr1::nextafterl(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, -2.0L), 2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, -2.0L), 2.0L) == 1.0L);
+
+   BOOST_CHECK(tr1::truncl(2.5L) == 2.0L);
+   BOOST_CHECK(tr1::truncl(2.25L) == 2.0L);
+
+   //
+   // And again but without the "l" suffix on the function names:
+   //
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5L)), 0.5L, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysign(1.0L, -1.0L) == -1.0L);
+   BOOST_CHECK(tr1::copysign(-1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysign(-1.0L, -1.0L) == -1.0L);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0.125)), static_cast<long double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0.5)), static_cast<long double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(1)), static_cast<long double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(5)), static_cast<long double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(-0.125)), static_cast<long double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(-0.5)), static_cast<long double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0)), static_cast<long double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0.125)), static_cast<long double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0.5)), static_cast<long double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(1)), static_cast<long double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(5)), static_cast<long double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(-0.125)), static_cast<long double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(-0.5)), static_cast<long double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0)), static_cast<long double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1L, -0.1L), 0.1L);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1L, -0.1L), -0.1L);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0L, 3.0L), std::sqrt(10.0L), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(3.5)), static_cast<long double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(0.125)), static_cast<long double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-0.125)), static_cast<long double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-3.125)), static_cast<long double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-53249.0/1024)), static_cast<long double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(3.5)), static_cast<long double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(0.125)), static_cast<long double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(-0.125)), static_cast<long double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(-3.125)), static_cast<long double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5L) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25L) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5L) == 3L);
+   BOOST_CHECK(tr1::lround(2.25L) == 2L);
+   BOOST_CHECK(tr1::round(2.5L) == 3.0L);
+   BOOST_CHECK(tr1::round(2.25L) == 2.0L);
+
+   BOOST_CHECK(tr1::nextafter(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, -2.0L), 2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, -2.0L), 2.0L) == 1.0L);
+
+   BOOST_CHECK(tr1::trunc(2.5L) == 2.0L);
+   BOOST_CHECK(tr1::trunc(2.25L) == 2.0L);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(4L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(88.31510416666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 0L, static_cast<long double>(2.5L)), static_cast<long double>(-0.8802526766660982969576719576719576719577L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 1L, static_cast<long double>(4.5L)), static_cast<long double>(1.564311458042689732142857142857142857143L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 6L, static_cast<long double>(8.5L)), static_cast<long double>(20.51596541066649098875661375661375661376L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 12L, static_cast<long double>(12.5L)), static_cast<long double>(-199.5560968456234671241181657848324514991L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(50L, 40L, static_cast<long double>(12.5L)), static_cast<long double>(-4.996769495006119488583146995907246595400e16L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3307291666666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(0.5L)), static_cast<long double>(-0.5183392237103174603174603174603174603175L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(0.5L)), static_cast<long double>(0.3120174870800154148915399248893113634676L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3181388060269979064951118308575628226834L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(-0.5L)), static_cast<long double>(1.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(-0.5L)), static_cast<long double>(3.835937500000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(-0.5L)), static_cast<long double>(7.950934709821428571428571428571428571429L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(-0.5L)), static_cast<long double>(76.12915699869631476833699787070874048223L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(-0.5L)), static_cast<long double>(2307.428631277506570629232863491518399720L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(4.5L)), static_cast<long double>(-3.500000000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(4.5L)), static_cast<long double>(0.08593750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(4.5L)), static_cast<long double>(-1.036928013392857142857142857142857142857L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(4.5L)), static_cast<long double>(1.437239150257817378525582974722170737587L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(4.5L)), static_cast<long double>(-0.7795068145562651416494321484050019245248L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(4L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(7L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(4L, 2L, static_cast<long double>(-0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(7L, 5L, static_cast<long double>(-0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.2890625000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(7L, static_cast<long double>(0.5L)), static_cast<long double>(0.2231445312500000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(40L, static_cast<long double>(0.5L)), static_cast<long double>(-0.09542943523261546936538467572384923220258L), eps * 100L);
+
+   long double sv = eps / 1024;
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(1L), static_cast<long double>(1L)), static_cast<long double>(1L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(1L), static_cast<long double>(4L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), static_cast<long double>(1L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(sv, static_cast<long double>(4L)), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), sv), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), static_cast<long double>(20L)), static_cast<long double>(0.00002823263692828910220214568040654997176736L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(0.0125L), static_cast<long double>(0.000023L)), static_cast<long double>(43558.24045647538375006349016083320744662L), eps * 20L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0.125L)), static_cast<long double>(1.5769867712158131421244030532288080803822271060839L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0.25L)), static_cast<long double>(1.5962422221317835101489690714979498795055744578951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(300L)/1024L), static_cast<long double>(1.6062331054696636704261124078746600894998873503208L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(400L)/1024L), static_cast<long double>(1.6364782007562008756208066125715722889067992997614L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(-0.5L)), static_cast<long double>(1.6857503548125960428712036577990769895008008941411L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(-0.75L)), static_cast<long double>(1.9109897807518291965531482187613425592531451316788L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-1L)), static_cast<long double>(1L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(100L) / 1024L), static_cast<long double>(1.5670445330545086723323795143598956428788609133377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(200L) / 1024L), static_cast<long double>(1.5557071588766556854463404816624361127847775545087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(300L) / 1024L), static_cast<long double>(1.5365278991162754883035625322482669608948678755743L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(400L) / 1024L), static_cast<long double>(1.5090417763083482272165682786143770446401437564021L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-0.5L)), static_cast<long double>(1.4674622093394271554597952669909161360253617523272L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-600L) / 1024L), static_cast<long double>(1.4257538571071297192428217218834579920545946473778L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-800L) / 1024L), static_cast<long double>(1.2927868476159125056958680222998765985004489572909L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-900L) / 1024L), static_cast<long double>(1.1966864890248739524112920627353824133420353430982L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.2L), static_cast<long double>(0L)), static_cast<long double>(1.586867847454166237308008033828114192951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.4L), static_cast<long double>(0L)), static_cast<long double>(1.639999865864511206865258329748601457626L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(1.57079632679489661923132169163975144209858469968755291048747L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(2.221441469079183123507940495030346849307L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.3L), static_cast<long double>(-4L)), static_cast<long double>(0.712708870925620061597924858162260293305195624270730660081949L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.5L), static_cast<long double>(-1e+05L)), static_cast<long double>(0.00496944596485066055800109163256108604615568144080386919012831L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.75L), static_cast<long double>(-1e+10L)), static_cast<long double>(0.0000157080225184890546939710019277357161497407143903832703317801L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.875L), static_cast<long double>(1L) / 1024L), static_cast<long double>(2.18674503176462374414944618968850352696579451638002110619287L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.875L), static_cast<long double>(1023L)/1024L), static_cast<long double>(101.045289804941384100960063898569538919135722087486350366997L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(2.25L), static_cast<long double>(1L)/(1024*1024L)), static_cast<long double>(2.34379212133481347189068464680335815256364262507955635911656e-15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(0.0583514045989371500460946536220735787163510569634133670181210L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-5L) + static_cast<long double>(1L)/1024L, static_cast<long double>(2.125L)), static_cast<long double>(0.0267920938009571023702933210070984416052633027166975342895062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(597.577606961369169607937419869926705730305175364662688426534L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474005665181350367684623930576333542989766867888186478185e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(50L)), static_cast<long double>(1.07153277202900671531087024688681954238311679648319534644743e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694757392660413922181531984160871678224178890247540320L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694672763190927440969155740243346136463461655104698748L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(2457L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(3.80739920118603335646474073457326714709615200130620574875292e-9L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(0.0281933076257506091621579544064767140470089107926550720453038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(-2.55820064470647911823175836997490971806135336759164272675969L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(2.449843111985605522111159013846599118397e-03L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000747424248595630177396350688505919533097973148718960064663632L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.125L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000776600124835704280633640911329691642748783663198207360238214L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.875L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000466322721115193071631008581529503095819705088484386434589780L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0358874487875643822020496677692429287863419555699447066226409L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00244984311198560552211115901384659911839737686676766460822577L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(0.000279243200433579511095229508894156656558211060453622750659554L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0708184798097594268482290389188138201440114881159344944791454L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474013160494695750009004222225969090304185981836460288562e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(15L)), static_cast<long double>(-0.0902239288885423309568944543848111461724911781719692852541489L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547064914615137807616774867984047583596945624129838091326863L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00556783614400875611650958980796060611309029233226596737701688L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547613660316806551338637153942604550779513947674222863858713L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(0.5L), static_cast<long double>(0.875L)), static_cast<long double>(0.558532231646608646115729767013630967055657943463362504577189L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(0.5L), static_cast<long double>(1.125L)), static_cast<long double>(0.383621010650189547146769320487006220295290256657827220786527L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(2.25L), static_cast<long double>(std::ldexp(1.0L, -30L))), static_cast<long double>(5.62397392719283271332307799146649700147907612095185712015604e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(1.30623288775012596319554857587765179889689223531159532808379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(0.0000733045300798502164644836879577484533096239574909573072142667L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(-5.5L), static_cast<long double>(100L)), static_cast<long double>(5.41274555306792267322084448693957747924412508020839543293369e-45L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(10240L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(2.35522579263922076203415803966825431039900000000993410734978e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(10240L)/1024L, static_cast<long double>(10L)), static_cast<long double>(0.00161425530039067002345725193091329085443750382929208307802221L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(144793L)/1024L, static_cast<long double>(100L)), static_cast<long double>(1.39565245860302528069481472855619216759142225046370312329416e-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(144793L)/1024L, static_cast<long double>(200L)), static_cast<long double>(9.11950412043225432171915100042647230802198254567007382956336e-68L), eps * 7000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(0.5L), static_cast<long double>(1L) / (1024*1024L)), static_cast<long double>(-817.033790261762580469303126467917092806755460418223776544122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-2.61489440328417468776474188539366752698192046890955453259866L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-0.0274994493896489729948109971802244976377957234563871795364056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(-0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(-1.50382374389531766117868938966858995093408410498915220070230e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(0.0583041891319026009955779707640455341990844522293730214223545L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-5.38829231428696507293191118661269920130838607482708483122068e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(141.75L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00376577888677186194728129112270988602876597726657372330194186L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-3.81009803444766877495905954105669819951653361036342457919021e9L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-1.2261911708835170708130609674719067527242483502207L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.875L), static_cast<long double>(-4L)), static_cast<long double>(-5.3190556182262405182189463092940736859067548232647L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(-0.625L), static_cast<long double>(8L)), static_cast<long double>(9.0419973860310100524448893214394562615252527557062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.875L), static_cast<long double>(1e-05L)), static_cast<long double>(0.000010000000000127604166668510945638036143355898993088L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(10L)/1024L, static_cast<long double>(1e+05L)), static_cast<long double>(100002.38431454899771096037307519328741455615271038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(1L), static_cast<long double>(1e-20L)), static_cast<long double>(1.0000000000000000000000000000000000000000166666667e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(1e-20L), static_cast<long double>(1e-20L)), static_cast<long double>(1.000000000000000e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(400L)/1024L, static_cast<long double>(1e+20L)), static_cast<long double>(1.0418143796499216839719289963154558027005142709763e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(2L)), static_cast<long double>(2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(4L)), static_cast<long double>(4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(6L)), static_cast<long double>(6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(10L)), static_cast<long double>(10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-2L)), static_cast<long double>(-2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-4L)), static_cast<long double>(-4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-6L)), static_cast<long double>(-6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-10L)), static_cast<long double>(-10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-0.84147098480789650665250232163029899962256306079837L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(900L) / 1024L, static_cast<long double>(-4L)), static_cast<long double>(-3.1756145986492562317862928524528520686391383168377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-600L) / 1024L, static_cast<long double>(8L)), static_cast<long double>(7.2473147180505693037677015377802777959345489333465L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(800L) / 1024L, static_cast<long double>(1e-05L)), static_cast<long double>(9.999999999898274739584436515967055859383969942432E-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(100L) / 1024L, static_cast<long double>(1e+05L)), static_cast<long double>(99761.153306972066658135668386691227343323331995888L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(9.3421545766487137036576748555295222252286528414669e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(400L) / 1024L, ldexp(static_cast<long double>(1L), 66L)), static_cast<long double>(7.0886102721911705466476846969992069994308167515242e19L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(-1L)), static_cast<long double>(-1.557407724654902230506974807458360173087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.4L), static_cast<long double>(0L), static_cast<long double>(-4L)), static_cast<long double>(-4.153623371196831087495427530365430979011L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(-0.6L), static_cast<long double>(0L), static_cast<long double>(8L)), static_cast<long double>(8.935930619078575123490612395578518914416L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.501246705365439492445236118603525029757890291780157969500480L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(-2L), static_cast<long double>(0.5L)), static_cast<long double>(0.437501067017546278595664813509803743009132067629603474488486L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.25L), static_cast<long double>(0.5L)), static_cast<long double>(0.510269830229213412212501938035914557628394166585442994564135L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.5L)), static_cast<long double>(0.533293253875952645421201146925578536430596894471541312806165L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.75L)), static_cast<long double>(0.871827580412760575085768367421866079353646112288567703061975L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(0.25L)), static_cast<long double>(0.255341921221036266504482236490473678204201638800822621740476L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(2L), static_cast<long double>(0.25L)), static_cast<long double>(0.261119051639220165094943572468224137699644963125853641716219L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1023L)/1024L, static_cast<long double>(1.5L)), static_cast<long double>(13.2821612239764190363647953338544569682942329604483733197131L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(-1L)), static_cast<long double>(-1.228014414316220642611298946293865487807L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(1.536591003599172091573590441336982730551e+10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.75L), static_cast<long double>(-1e+05L), static_cast<long double>(10L)), static_cast<long double>(0.0347926099493147087821620459290460547131012904008557007934290L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(10L)), static_cast<long double>(0.000109956202759561502329123384755016959364346382187364656768212L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1e+20L)), static_cast<long double>(1.00000626665567332602765201107198822183913978895904937646809e15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1608L)/1024L), static_cast<long double>(0.0000157080616044072676127333183571107873332593142625043567690379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), 1-static_cast<long double>(1L) / 1024L, static_cast<long double>(1e+20L)), static_cast<long double>(6.43274293944380717581167058274600202023334985100499739678963e21L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(50L), static_cast<long double>(0.1L)), static_cast<long double>(0.124573770342749525407523258569507331686458866564082916835900L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(1.125L), static_cast<long double>(1L)), static_cast<long double>(1.77299767784815770192352979665283069318388205110727241629752L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(1L)/1024L), static_cast<long double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(0.125L)), static_cast<long double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(0.5L)), static_cast<long double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(1L)), static_cast<long double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(50.5L)), static_cast<long double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-1L)/1024L), static_cast<long double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-0.125L)), static_cast<long double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-0.5L)), static_cast<long double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-1L)), static_cast<long double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-50.5L)), static_cast<long double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(0L, static_cast<long double>(1L)), static_cast<long double>(1.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(1L)), static_cast<long double>(2.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(2L)), static_cast<long double>(4.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(10L)), static_cast<long double>(20L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(100L)), static_cast<long double>(200L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(1e6L)), static_cast<long double>(2e6L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(30L)), static_cast<long double>(5.896624628001300E+17L), 1000L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(1000L)), static_cast<long double>(1.023976960161280E+33L), 1000L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(-10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-10L)), static_cast<long double>(-7.880000000000000E+3L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-1000L)), static_cast<long double>(-7.999988000000000E+9L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-1000000L)), static_cast<long double>(-7.999999999988000E+18L), 100L * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0.125L)), static_cast<long double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1023L) / static_cast<long double>(1024L)), static_cast<long double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1025L) / static_cast<long double>(1024L)), static_cast<long double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0.5L)), static_cast<long double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1.125L)), static_cast<long double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(2L)), static_cast<long double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(3.5L)), static_cast<long double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(4L)), static_cast<long double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(4L + static_cast<long double>(1L) / 1024L), static_cast<long double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(4.5L)), static_cast<long double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(6.5L)), static_cast<long double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(7.5L)), static_cast<long double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(8.125L)), static_cast<long double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(16.125L)), static_cast<long double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0L)), static_cast<long double>(-0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-0.125L)), static_cast<long double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-1L)), static_cast<long double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-2L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-2.5L)), static_cast<long double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000L * 3L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-3L)), static_cast<long double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-4L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-20L)), static_cast<long double>(0L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-21L)), static_cast<long double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-30.125L)), static_cast<long double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(0L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.9999657468461303487880990241993035937654e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(0L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.9999483203249623334100130061926184665364e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(2L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.1370120120703995134662099191103188366059e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(2L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.2067173265753174063228459655801741280461e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(7L, static_cast<long double>(0.1252804412841796875e3L)), static_cast<long double>(0.7887555711993028736906736576314283291289e-2L),  eps * 50000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(7L, static_cast<long double>(0.25554705810546875e3L)), static_cast<long double>(-0.1463292767579579943284849187188066532514e-2L),  eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(0L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.2249212131304610409189209411089291558038e1L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(0L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1213309779166084571756446746977955970241e1L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(2L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.4541702641837159203058389758895634766256e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(2L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1156112621471167110574129561700037138981e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(10L, static_cast<long double>(0.1097540378570556640625e1L)), static_cast<long double>(-0.2427889658115064857278886600528596240123e9L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(10L, static_cast<long double>(0.30944411754608154296875e1L)), static_cast<long double>(-0.3394649246350136450439882104151313759251e4L),   eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendrel(3L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(0.2061460599687871330692286791802688341213L), eps * 5000L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendrel(40L, 15L, static_cast<long double>(0.75L)), static_cast<long double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000L);
+
+   //
+   // Now all over again but without the "f" suffix on the function names this time:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(88.31510416666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 0L, static_cast<long double>(2.5L)), static_cast<long double>(-0.8802526766660982969576719576719576719577L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 1L, static_cast<long double>(4.5L)), static_cast<long double>(1.564311458042689732142857142857142857143L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 6L, static_cast<long double>(8.5L)), static_cast<long double>(20.51596541066649098875661375661375661376L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 12L, static_cast<long double>(12.5L)), static_cast<long double>(-199.5560968456234671241181657848324514991L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50L, 40L, static_cast<long double>(12.5L)), static_cast<long double>(-4.996769495006119488583146995907246595400e16L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3307291666666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(0.5L)), static_cast<long double>(-0.5183392237103174603174603174603174603175L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(0.5L)), static_cast<long double>(0.3120174870800154148915399248893113634676L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3181388060269979064951118308575628226834L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(-0.5L)), static_cast<long double>(1.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(-0.5L)), static_cast<long double>(3.835937500000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(-0.5L)), static_cast<long double>(7.950934709821428571428571428571428571429L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(-0.5L)), static_cast<long double>(76.12915699869631476833699787070874048223L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(-0.5L)), static_cast<long double>(2307.428631277506570629232863491518399720L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(4.5L)), static_cast<long double>(-3.500000000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(4.5L)), static_cast<long double>(0.08593750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(4.5L)), static_cast<long double>(-1.036928013392857142857142857142857142857L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(4.5L)), static_cast<long double>(1.437239150257817378525582974722170737587L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(4.5L)), static_cast<long double>(-0.7795068145562651416494321484050019245248L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4L, 2L, static_cast<long double>(-0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7L, 5L, static_cast<long double>(-0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.2890625000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7L, static_cast<long double>(0.5L)), static_cast<long double>(0.2231445312500000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40L, static_cast<long double>(0.5L)), static_cast<long double>(-0.09542943523261546936538467572384923220258L), eps * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(1L), static_cast<long double>(1L)), static_cast<long double>(1L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(1L), static_cast<long double>(4L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), static_cast<long double>(1L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<long double>(4L)), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), sv), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), static_cast<long double>(20L)), static_cast<long double>(0.00002823263692828910220214568040654997176736L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(0.0125L), static_cast<long double>(0.000023L)), static_cast<long double>(43558.24045647538375006349016083320744662L), eps * 20L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0.125L)), static_cast<long double>(1.5769867712158131421244030532288080803822271060839L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0.25L)), static_cast<long double>(1.5962422221317835101489690714979498795055744578951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(300L)/1024L), static_cast<long double>(1.6062331054696636704261124078746600894998873503208L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(400L)/1024L), static_cast<long double>(1.6364782007562008756208066125715722889067992997614L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(-0.5L)), static_cast<long double>(1.6857503548125960428712036577990769895008008941411L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(-0.75L)), static_cast<long double>(1.9109897807518291965531482187613425592531451316788L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-1L)), static_cast<long double>(1L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(100L) / 1024L), static_cast<long double>(1.5670445330545086723323795143598956428788609133377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(200L) / 1024L), static_cast<long double>(1.5557071588766556854463404816624361127847775545087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(300L) / 1024L), static_cast<long double>(1.5365278991162754883035625322482669608948678755743L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(400L) / 1024L), static_cast<long double>(1.5090417763083482272165682786143770446401437564021L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-0.5L)), static_cast<long double>(1.4674622093394271554597952669909161360253617523272L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-600L) / 1024L), static_cast<long double>(1.4257538571071297192428217218834579920545946473778L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-800L) / 1024L), static_cast<long double>(1.2927868476159125056958680222998765985004489572909L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-900L) / 1024L), static_cast<long double>(1.1966864890248739524112920627353824133420353430982L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.2L), static_cast<long double>(0L)), static_cast<long double>(1.586867847454166237308008033828114192951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.4L), static_cast<long double>(0L)), static_cast<long double>(1.639999865864511206865258329748601457626L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(1.57079632679489661923132169163975144209858469968755291048747L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(2.221441469079183123507940495030346849307L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.3L), static_cast<long double>(-4L)), static_cast<long double>(0.712708870925620061597924858162260293305195624270730660081949L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.5L), static_cast<long double>(-1e+05L)), static_cast<long double>(0.00496944596485066055800109163256108604615568144080386919012831L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.75L), static_cast<long double>(-1e+10L)), static_cast<long double>(0.0000157080225184890546939710019277357161497407143903832703317801L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.875L), static_cast<long double>(1L) / 1024L), static_cast<long double>(2.18674503176462374414944618968850352696579451638002110619287L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.875L), static_cast<long double>(1023L)/1024L), static_cast<long double>(101.045289804941384100960063898569538919135722087486350366997L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(2.25L), static_cast<long double>(1L)/(1024*1024L)), static_cast<long double>(2.34379212133481347189068464680335815256364262507955635911656e-15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(0.0583514045989371500460946536220735787163510569634133670181210L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-5L) + static_cast<long double>(1L)/1024L, static_cast<long double>(2.125L)), static_cast<long double>(0.0267920938009571023702933210070984416052633027166975342895062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(597.577606961369169607937419869926705730305175364662688426534L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474005665181350367684623930576333542989766867888186478185e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(50L)), static_cast<long double>(1.07153277202900671531087024688681954238311679648319534644743e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694757392660413922181531984160871678224178890247540320L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694672763190927440969155740243346136463461655104698748L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(2457L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(3.80739920118603335646474073457326714709615200130620574875292e-9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(0.0281933076257506091621579544064767140470089107926550720453038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(-2.55820064470647911823175836997490971806135336759164272675969L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(2.449843111985605522111159013846599118397e-03L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000747424248595630177396350688505919533097973148718960064663632L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.125L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000776600124835704280633640911329691642748783663198207360238214L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.875L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000466322721115193071631008581529503095819705088484386434589780L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0358874487875643822020496677692429287863419555699447066226409L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00244984311198560552211115901384659911839737686676766460822577L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(0.000279243200433579511095229508894156656558211060453622750659554L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0708184798097594268482290389188138201440114881159344944791454L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474013160494695750009004222225969090304185981836460288562e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(15L)), static_cast<long double>(-0.0902239288885423309568944543848111461724911781719692852541489L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547064914615137807616774867984047583596945624129838091326863L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00556783614400875611650958980796060611309029233226596737701688L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547613660316806551338637153942604550779513947674222863858713L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(0.5L), static_cast<long double>(0.875L)), static_cast<long double>(0.558532231646608646115729767013630967055657943463362504577189L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(0.5L), static_cast<long double>(1.125L)), static_cast<long double>(0.383621010650189547146769320487006220295290256657827220786527L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(2.25L), static_cast<long double>(std::ldexp(1.0L, -30L))), static_cast<long double>(5.62397392719283271332307799146649700147907612095185712015604e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(1.30623288775012596319554857587765179889689223531159532808379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(0.0000733045300798502164644836879577484533096239574909573072142667L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(-5.5L), static_cast<long double>(100L)), static_cast<long double>(5.41274555306792267322084448693957747924412508020839543293369e-45L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(10240L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(2.35522579263922076203415803966825431039900000000993410734978e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(10240L)/1024L, static_cast<long double>(10L)), static_cast<long double>(0.00161425530039067002345725193091329085443750382929208307802221L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(144793L)/1024L, static_cast<long double>(100L)), static_cast<long double>(1.39565245860302528069481472855619216759142225046370312329416e-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(144793L)/1024L, static_cast<long double>(200L)), static_cast<long double>(9.11950412043225432171915100042647230802198254567007382956336e-68L), eps * 7000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(0.5L), static_cast<long double>(1L) / (1024*1024L)), static_cast<long double>(-817.033790261762580469303126467917092806755460418223776544122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-2.61489440328417468776474188539366752698192046890955453259866L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-0.0274994493896489729948109971802244976377957234563871795364056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(-0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(-1.50382374389531766117868938966858995093408410498915220070230e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(0.0583041891319026009955779707640455341990844522293730214223545L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-5.38829231428696507293191118661269920130838607482708483122068e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(141.75L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00376577888677186194728129112270988602876597726657372330194186L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-3.81009803444766877495905954105669819951653361036342457919021e9L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-1.2261911708835170708130609674719067527242483502207L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.875L), static_cast<long double>(-4L)), static_cast<long double>(-5.3190556182262405182189463092940736859067548232647L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(-0.625L), static_cast<long double>(8L)), static_cast<long double>(9.0419973860310100524448893214394562615252527557062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.875L), static_cast<long double>(1e-05L)), static_cast<long double>(0.000010000000000127604166668510945638036143355898993088L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(10L)/1024L, static_cast<long double>(1e+05L)), static_cast<long double>(100002.38431454899771096037307519328741455615271038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(1L), static_cast<long double>(1e-20L)), static_cast<long double>(1.0000000000000000000000000000000000000000166666667e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(1e-20L), static_cast<long double>(1e-20L)), static_cast<long double>(1.000000000000000e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(400L)/1024L, static_cast<long double>(1e+20L)), static_cast<long double>(1.0418143796499216839719289963154558027005142709763e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(2L)), static_cast<long double>(2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(4L)), static_cast<long double>(4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(6L)), static_cast<long double>(6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(10L)), static_cast<long double>(10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-2L)), static_cast<long double>(-2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-4L)), static_cast<long double>(-4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-6L)), static_cast<long double>(-6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-10L)), static_cast<long double>(-10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-0.84147098480789650665250232163029899962256306079837L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(900L) / 1024L, static_cast<long double>(-4L)), static_cast<long double>(-3.1756145986492562317862928524528520686391383168377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-600L) / 1024L, static_cast<long double>(8L)), static_cast<long double>(7.2473147180505693037677015377802777959345489333465L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(800L) / 1024L, static_cast<long double>(1e-05L)), static_cast<long double>(9.999999999898274739584436515967055859383969942432E-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(100L) / 1024L, static_cast<long double>(1e+05L)), static_cast<long double>(99761.153306972066658135668386691227343323331995888L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(9.3421545766487137036576748555295222252286528414669e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(400L) / 1024L, ldexp(static_cast<long double>(1L), 66L)), static_cast<long double>(7.0886102721911705466476846969992069994308167515242e19L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(-1L)), static_cast<long double>(-1.557407724654902230506974807458360173087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.4L), static_cast<long double>(0L), static_cast<long double>(-4L)), static_cast<long double>(-4.153623371196831087495427530365430979011L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(-0.6L), static_cast<long double>(0L), static_cast<long double>(8L)), static_cast<long double>(8.935930619078575123490612395578518914416L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.501246705365439492445236118603525029757890291780157969500480L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(-2L), static_cast<long double>(0.5L)), static_cast<long double>(0.437501067017546278595664813509803743009132067629603474488486L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.25L), static_cast<long double>(0.5L)), static_cast<long double>(0.510269830229213412212501938035914557628394166585442994564135L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.5L)), static_cast<long double>(0.533293253875952645421201146925578536430596894471541312806165L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.75L)), static_cast<long double>(0.871827580412760575085768367421866079353646112288567703061975L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(0.25L)), static_cast<long double>(0.255341921221036266504482236490473678204201638800822621740476L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(2L), static_cast<long double>(0.25L)), static_cast<long double>(0.261119051639220165094943572468224137699644963125853641716219L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1023L)/1024L, static_cast<long double>(1.5L)), static_cast<long double>(13.2821612239764190363647953338544569682942329604483733197131L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(-1L)), static_cast<long double>(-1.228014414316220642611298946293865487807L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(1.536591003599172091573590441336982730551e+10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.75L), static_cast<long double>(-1e+05L), static_cast<long double>(10L)), static_cast<long double>(0.0347926099493147087821620459290460547131012904008557007934290L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(10L)), static_cast<long double>(0.000109956202759561502329123384755016959364346382187364656768212L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1e+20L)), static_cast<long double>(1.00000626665567332602765201107198822183913978895904937646809e15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1608L)/1024L), static_cast<long double>(0.0000157080616044072676127333183571107873332593142625043567690379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), 1-static_cast<long double>(1L) / 1024L, static_cast<long double>(1e+20L)), static_cast<long double>(6.43274293944380717581167058274600202023334985100499739678963e21L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(50L), static_cast<long double>(0.1L)), static_cast<long double>(0.124573770342749525407523258569507331686458866564082916835900L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(1.125L), static_cast<long double>(1L)), static_cast<long double>(1.77299767784815770192352979665283069318388205110727241629752L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(1L)/1024L), static_cast<long double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(0.125L)), static_cast<long double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(0.5L)), static_cast<long double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(1L)), static_cast<long double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(50.5L)), static_cast<long double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-1L)/1024L), static_cast<long double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-0.125L)), static_cast<long double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-0.5L)), static_cast<long double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-1L)), static_cast<long double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-50.5L)), static_cast<long double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0L, static_cast<long double>(1L)), static_cast<long double>(1.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(1L)), static_cast<long double>(2.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(2L)), static_cast<long double>(4.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(10L)), static_cast<long double>(20L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(100L)), static_cast<long double>(200L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(1e6L)), static_cast<long double>(2e6L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(30L)), static_cast<long double>(5.896624628001300E+17L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(1000L)), static_cast<long double>(1.023976960161280E+33L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(-10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-10L)), static_cast<long double>(-7.880000000000000E+3L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-1000L)), static_cast<long double>(-7.999988000000000E+9L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-1000000L)), static_cast<long double>(-7.999999999988000E+18L), 100L * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0.125L)), static_cast<long double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1023L) / static_cast<long double>(1024L)), static_cast<long double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1025L) / static_cast<long double>(1024L)), static_cast<long double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0.5L)), static_cast<long double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1.125L)), static_cast<long double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(2L)), static_cast<long double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(3.5L)), static_cast<long double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(4L)), static_cast<long double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4L + static_cast<long double>(1L) / 1024L), static_cast<long double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(4.5L)), static_cast<long double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(6.5L)), static_cast<long double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(7.5L)), static_cast<long double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(8.125L)), static_cast<long double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(16.125L)), static_cast<long double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0L)), static_cast<long double>(-0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-0.125L)), static_cast<long double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-1L)), static_cast<long double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-2L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-2.5L)), static_cast<long double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000L * 3L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-3L)), static_cast<long double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-4L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-20L)), static_cast<long double>(0L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-21L)), static_cast<long double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-30.125L)), static_cast<long double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.9999657468461303487880990241993035937654e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.9999483203249623334100130061926184665364e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.1370120120703995134662099191103188366059e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.2067173265753174063228459655801741280461e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7L, static_cast<long double>(0.1252804412841796875e3L)), static_cast<long double>(0.7887555711993028736906736576314283291289e-2L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7L, static_cast<long double>(0.25554705810546875e3L)), static_cast<long double>(-0.1463292767579579943284849187188066532514e-2L),  eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.2249212131304610409189209411089291558038e1L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1213309779166084571756446746977955970241e1L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.4541702641837159203058389758895634766256e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1156112621471167110574129561700037138981e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10L, static_cast<long double>(0.1097540378570556640625e1L)), static_cast<long double>(-0.2427889658115064857278886600528596240123e9L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10L, static_cast<long double>(0.30944411754608154296875e1L)), static_cast<long double>(-0.3394649246350136450439882104151313759251e4L),   eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(0.2061460599687871330692286791802688341213L), eps * 5000L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40L, 15L, static_cast<long double>(0.75L)), static_cast<long double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000L);
+#endif
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef TEST_LD
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#else
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+#endif
+#endif
+   
+}
+
diff --git a/src/boost/libs/math/test/test_trapezoidal.cpp b/src/boost/libs/math/test/test_trapezoidal.cpp
new file mode 100644
index 00000000..6f78c8b8
--- /dev/null
+++ b/src/boost/libs/math/test/test_trapezoidal.cpp
@@ -0,0 +1,290 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE trapezoidal_quadrature
+
+#include <complex>
+#include <boost/config.hpp>
+//#include <boost/multiprecision/mpc.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::quadrature::trapezoidal;
+
+// These tests come from:
+// https://doi.org/10.1023/A:1025524324969
+// "Computing special functions by using quadrature rules",  Gil, Segura, and Temme.
+template<class Complex>
+void test_complex_bessel()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, 3};
+    int n = 2;
+    using boost::math::constants::pi;
+    auto bessel_integrand = [&n, &z](Real theta)->Complex
+    {
+        using std::cos;
+        using std::sin;
+        Real t1 = sin(theta);
+        Real t2 = - n*theta;
+        Complex arg = z*t1 + t2;
+        return cos(arg)/pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = 0;
+    Real b = pi<Real>();
+    Complex Jnz = trapezoidal<decltype(bessel_integrand), Real>(bessel_integrand, a, b);
+    // N[BesselJ[2, 2 + 3 I], 143]
+    // 1.257674591970511077630764085052638490387449039392695959943027966195657681586539389134094087028482099931927725892... +
+    // 2.318771368505683055818032722011594415038779144567369903204833213112457210243098545874099591376455981793627257060... i
+    Real Jnzx = boost::lexical_cast<Real>("1.257674591970511077630764085052638490387449039392695959943027966195657681586539389134094087028482099931927725892");
+    Real Jnzy = boost::lexical_cast<Real>("2.318771368505683055818032722011594415038779144567369903204833213112457210243098545874099591376455981793627257060");
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(Jnz.real(), Jnzx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(Jnz.imag(), Jnzy, tol);
+}
+
+template<class Complex>
+void test_I0_complex()
+{
+    std::cout << "Testing that complex-argument I0 is calculated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, 3};
+    using boost::math::constants::pi;
+    auto I0 = [&z](Real theta)->Complex
+    {
+        using std::cos;
+        using std::exp;
+        return exp(z*cos(theta))/pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = 0;
+    Real b = pi<Real>();
+    Complex I0z = trapezoidal<decltype(I0), Real>(I0, a, b);
+    // N[BesselI[0, 2 + 3 I], 143]
+    // -1.24923487960742219637619681391438589436703710701063561548156438052154090067526565701278826317992172207565649925713468090525951417141982808439560899101
+    // 0.947983792057734776114060623981442199525094227418764823692296622398838765371662384207319492908490909109393495109183270208372778907692930675595924819922 i
+    Real I0zx = boost::lexical_cast<Real>("-1.24923487960742219637619681391438589436703710701063561548156438052154090067526565701278826317992172207565649925713468090525951417141982808439560899101");
+    Real I0zy = boost::lexical_cast<Real>("0.947983792057734776114060623981442199525094227418764823692296622398838765371662384207319492908490909109393495109183270208372778907692930675595924819922");
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(I0z.real(), I0zx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(I0z.imag(), I0zy, tol);
+}
+
+
+template<class Complex>
+void test_erfc()
+{
+    std::cout << "Testing that complex-argument erfc is calculated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, -1};
+    using boost::math::constants::pi;
+    using boost::math::constants::two_pi;
+    auto erfc = [&z](Real theta)->Complex
+    {
+        using std::exp;
+        using std::tan;
+        Real t = tan(theta/2);
+        Complex arg = -z*z*(1+t*t);
+        return exp(arg)/two_pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = -pi<Real>();
+    Real b = pi<Real>();
+    Complex erfcz = trapezoidal<decltype(erfc), Real>(erfc, a, b, boost::math::tools::root_epsilon<Real>(), 17);
+    // N[Erfc[2-i], 150]
+    //-0.00360634272565175091291182820541914235532928536595056623793472801084629874817202107825472707423984408881473019087931573313969503235634965264302640170177
+    // - 0.0112590060288150250764009156316482248536651598819882163212627394923365188251633729432967232423246312345152595958230197778555210858871376231770868078020 i
+    Real erfczx = boost::lexical_cast<Real>("-0.00360634272565175091291182820541914235532928536595056623793472801084629874817202107825472707423984408881473019087931573313969503235634965264302640170177");
+    Real erfczy = boost::lexical_cast<Real>("-0.0112590060288150250764009156316482248536651598819882163212627394923365188251633729432967232423246312345152595958230197778555210858871376231770868078020");
+    Real tol = 5000*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(erfcz.real(), erfczx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(erfcz.imag(), erfczy, tol);
+}
+
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing constants are integrated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    auto f = [](Real)->Real { return boost::math::constants::half<Real>(); };
+    Real Q = trapezoidal<decltype(f), Real>(f, (Real) 0.0, (Real) 10.0);
+    BOOST_CHECK_CLOSE(Q, 5.0, 100*std::numeric_limits<Real>::epsilon());
+}
+
+
+template<class Real>
+void test_rational_periodic()
+{
+    using boost::math::constants::two_pi;
+    using boost::math::constants::third;
+    std::cout << "Testing that rational periodic functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    auto f = [](Real x)->Real { return 1/(5 - 4*cos(x)); };
+
+    Real tol = 100*boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0.0, two_pi<Real>(), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, two_pi<Real>()*third<Real>(), 10*tol);
+}
+
+template<class Real>
+void test_bump_function()
+{
+    std::cout << "Testing that bump functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real x)->Real {
+        if( x>= 1 || x <= -1)
+        {
+            return (Real) 0;
+        }
+        return (Real) exp(-(Real) 1/(1-x*x));
+    };
+    Real tol = boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) -1, (Real) 1, tol);
+    // 2*NIntegrate[Exp[-(1/(1 - x^2))], {x, 0, 1}, WorkingPrecision -> 210]
+    Real Q_exp = boost::lexical_cast<Real>("0.44399381616807943782304892117055266376120178904569749730748455394704");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_exp, 30*tol);
+}
+
+template<class Real>
+void test_zero_function()
+{
+    std::cout << "Testing that zero functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real)->Real { return (Real) 0;};
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) -1, (Real) 1, tol);
+    BOOST_CHECK_SMALL(Q, 100*tol);
+}
+
+template<class Real>
+void test_sinsq()
+{
+    std::cout << "Testing that sin(x)^2 is integrated correctly by the trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real x)->Real { return sin(10*x)*sin(10*x); };
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0, (Real) boost::math::constants::pi<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::half_pi<Real>(), tol);
+
+}
+
+template<class Real>
+void test_slowly_converging()
+{
+    using std::sqrt;
+    std::cout << "Testing that non-periodic functions are correctly integrated by the trapezoidal rule, even if slowly, on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // This function is not periodic, so it should not be fast to converge:
+    auto f = [](Real x)->Real { using std::sqrt;  return sqrt(1 - x*x); };
+
+    Real tol = sqrt(sqrt(boost::math::tools::epsilon<Real>()));
+    Real error_estimate;
+    Real Q = trapezoidal(f, (Real) 0, (Real) 1, tol, 15, &error_estimate);
+    BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::half_pi<Real>()/2, 10*tol);
+}
+
+template<class Real>
+void test_rational_sin()
+{
+    using std::pow;
+    using std::sin;
+    using boost::math::constants::two_pi;
+    using boost::math::constants::half;
+    std::cout << "Testing that a rational sin function is integrated correctly by the trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real a = 5;
+    auto f = [=](Real x)->Real { using std::sin;  Real t = a + sin(x); return 1.0f / (t*t); };
+
+    Real expected = two_pi<Real>()*a/pow(a*a - 1, 3*half<Real>());
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0, (Real) boost::math::constants::two_pi<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q, expected, tol);
+}
+
+BOOST_AUTO_TEST_CASE(trapezoidal_quadrature)
+{
+    test_constant<float>();
+    test_constant<double>();
+    test_constant<long double>();
+    test_constant<boost::math::concepts::real_concept>();
+    test_constant<cpp_bin_float_50>();
+    test_constant<cpp_bin_float_100>();
+
+    test_rational_periodic<float>();
+    test_rational_periodic<double>();
+    test_rational_periodic<long double>();
+    test_rational_periodic<boost::math::concepts::real_concept>();
+    test_rational_periodic<cpp_bin_float_50>();
+    test_rational_periodic<cpp_bin_float_100>();
+
+    test_bump_function<float>();
+    test_bump_function<double>();
+    test_bump_function<long double>();
+    test_rational_periodic<boost::math::concepts::real_concept>();
+    test_rational_periodic<cpp_bin_float_50>();
+
+    test_zero_function<float>();
+    test_zero_function<double>();
+    test_zero_function<long double>();
+    test_zero_function<boost::math::concepts::real_concept>();
+    test_zero_function<cpp_bin_float_50>();
+    test_zero_function<cpp_bin_float_100>();
+
+    test_sinsq<float>();
+    test_sinsq<double>();
+    test_sinsq<long double>();
+    test_sinsq<boost::math::concepts::real_concept>();
+    test_sinsq<cpp_bin_float_50>();
+    test_sinsq<cpp_bin_float_100>();
+
+    test_slowly_converging<float>();
+    test_slowly_converging<double>();
+    test_slowly_converging<long double>();
+    test_slowly_converging<boost::math::concepts::real_concept>();
+
+    test_rational_sin<float>();
+    test_rational_sin<double>();
+    test_rational_sin<long double>();
+    //test_rational_sin<boost::math::concepts::real_concept>();
+    test_rational_sin<cpp_bin_float_50>();
+
+    test_complex_bessel<std::complex<float>>();
+    test_complex_bessel<std::complex<double>>();
+    test_complex_bessel<std::complex<long double>>();
+    //test_complex_bessel<boost::multiprecision::mpc_complex_100>();
+    test_I0_complex<std::complex<float>>();
+    test_I0_complex<std::complex<double>>();
+    test_I0_complex<std::complex<long double>>();
+    //test_I0_complex<boost::multiprecision::mpc_complex_100>();
+    test_erfc<std::complex<float>>();
+    test_erfc<std::complex<double>>();
+    test_erfc<std::complex<long double>>();
+    //test_erfc<boost::multiprecision::number<boost::multiprecision::mpc_complex_backend<20>>>();
+    //test_erfc<boost::multiprecision::number<boost::multiprecision::mpc_complex_backend<30>>>();
+    //test_erfc<boost::multiprecision::mpc_complex_50>();
+    //test_erfc<boost::multiprecision::mpc_complex_100>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_complex_bessel<boost::multiprecision::complex128>();
+    test_I0_complex<boost::multiprecision::complex128>();
+    test_erfc<boost::multiprecision::complex128>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_triangular.cpp b/src/boost/libs/math/test/test_triangular.cpp
new file mode 100644
index 00000000..b0620a6a
--- /dev/null
+++ b/src/boost/libs/math/test/test_triangular.cpp
@@ -0,0 +1,761 @@
+// Copyright Paul Bristow 2006, 2007.
+// Copyright John Maddock 2006, 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_triangular.cpp
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4305) // truncation from 'long double' to 'float'
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/triangular.hpp>
+using boost::math::triangular_distribution;
+#include <boost/math/tools/test.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::scientific;
+using std::fixed;
+using std::left;
+using std::right;
+using std::setw;
+using std::setprecision;
+using std::showpos;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void check_triangular(RealType lower, RealType mode, RealType upper, RealType x, RealType p, RealType q, RealType tol)
+{
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(
+    triangular_distribution<RealType>(lower, mode, upper),   // distribution.
+    x),  // random variable.
+    p,    // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(
+    complement(
+    triangular_distribution<RealType>(lower, mode, upper), // distribution.
+    x)),    // random variable.
+    q,    // probability complement.
+    tol);  // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile(
+    triangular_distribution<RealType>(lower,mode, upper),  // distribution.
+    p),   // probability.
+    x,  // random variable.
+    tol);  // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile(
+    complement(
+    triangular_distribution<RealType>(lower, mode, upper),  // distribution.
+    q)),     // probability complement.
+    x,                                             // random variable.
+    tol);  // tolerance.
+} // void check_triangular
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks:
+  //
+  // Some test values were generated for the triangular distribution
+  // using the online calculator at
+  // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+  //
+  // Tolerance is just over 5 epsilon expressed as a fraction:
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+
+  using namespace std; // for ADL of std::exp;
+
+  // Tests on construction
+  // Default should be 0, 0, 1
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().lower(), -1);
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().mode(), 0);
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().upper(), 1);
+  BOOST_CHECK_EQUAL(support(triangular_distribution<RealType>()).first, triangular_distribution<RealType>().lower());
+  BOOST_CHECK_EQUAL(support(triangular_distribution<RealType>()).second, triangular_distribution<RealType>().upper());
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN == true)
+  {
+  BOOST_MATH_CHECK_THROW( // duff parameter lower.
+    triangular_distribution<RealType>(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 0, 0),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameter mode.
+    triangular_distribution<RealType>(0, static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 0),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameter upper.
+    triangular_distribution<RealType>(0, 0, static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())),
+    std::domain_error);
+  } // quiet_NaN tests.
+
+  BOOST_MATH_CHECK_THROW( // duff parameters upper < lower.
+    triangular_distribution<RealType>(1, 0, -1),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameters upper == lower.
+    triangular_distribution<RealType>(0, 0, 0),
+    std::domain_error);
+  BOOST_MATH_CHECK_THROW( // duff parameters mode < lower.
+    triangular_distribution<RealType>(0, -1, 1),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameters mode > upper.
+    triangular_distribution<RealType>(0, 2, 1),
+    std::domain_error);
+
+  // Tests for PDF
+  // // triangular_distribution<RealType>() default is (0, 0, 1), mode == lower.
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower == mode
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  // triangular_distribution<RealType>() (0, 1, 1) mode == upper
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < middle so Wiki says special case pdf = 2 * x
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0.5),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < middle so Wiki says special case cdf = x * x
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0.25 * 0.25),
+    tolerance);
+
+  // triangular_distribution<RealType>() (0, 0.5, 1) mode == middle.
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.5)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == half mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x == half mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.75)),
+    static_cast<RealType>(1),
+    tolerance);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_MATH_CHECK_THROW( // x == infinity NOT OK.
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(std::numeric_limits<RealType>::infinity())),
+      std::domain_error);
+
+    BOOST_MATH_CHECK_THROW( // x == minus infinity not OK too.
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::infinity())),
+      std::domain_error);
+  }
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  { // BOOST_CHECK tests for NaN using std::numeric_limits<>::has_quiet_NaN() - should throw.
+    BOOST_MATH_CHECK_THROW(
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())),
+      std::domain_error);
+    BOOST_MATH_CHECK_THROW(
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::quiet_NaN())),
+      std::domain_error);
+  } // test for x = NaN using std::numeric_limits<>::quiet_NaN()
+
+  // cdf
+  BOOST_CHECK_EQUAL( // x < lower
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0) );
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(1),
+    tolerance);
+   BOOST_CHECK_EQUAL( // x > upper
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(1));
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == mode
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0)),
+    //static_cast<RealType>((mode - lower) / (upper - lower)),
+    static_cast<RealType>(0.5),    // (0 --1) / (1 -- 1) = 0.5
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.9L)),
+    static_cast<RealType>(0.81L),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-0.5L)),
+    static_cast<RealType>(0.125L),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0.5),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(+0.5L)),
+    static_cast<RealType>(0.875L),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(1),
+    tolerance);
+
+   // cdf complement
+  BOOST_CHECK_EQUAL( // x < lower
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-1))),
+    static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL( // x == lower
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(1));
+
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(0.5));
+
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1))),
+    static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL( // x > upper
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2))),
+    static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL( // x == upper
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(1))),
+    static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION( // x = -0.5
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-0.5))),
+    static_cast<RealType>(0.875L),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x = +0.5
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0.5))),
+    static_cast<RealType>(0.125),
+    tolerance);
+
+  triangular_distribution<RealType> triang; // Using typedef == triangular_distribution<double> tristd;
+  triangular_distribution<RealType> tristd(0, 0.5, 1); // 'Standard' triangular distribution.
+
+  BOOST_CHECK_CLOSE_FRACTION( // median of Standard triangular is sqrt(mode/2) if c > 1/2 else 1 - sqrt((1-c)/2)
+    median(tristd),
+    static_cast<RealType>(0.5),
+    tolerance);
+  triangular_distribution<RealType> tri011(0, 1, 1); // Using default RealType double.
+  triangular_distribution<RealType> tri0q1(0, 0.25, 1); // mode is near bottom.
+  triangular_distribution<RealType> tri0h1(0, 0.5, 1); // Equilateral triangle - mode is the middle.
+  triangular_distribution<RealType> trim12(-1, -0.5, 2); // mode is negative.
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.02L), static_cast<RealType>(0.0016L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.5L), static_cast<RealType>(0.66666666666666666666666666666666666666666666667L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.98L), static_cast<RealType>(0.9994666666666666666666666666666666666666666666L), tolerance);
+
+  // quantile
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.0016L)), static_cast<RealType>(0.02L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.66666666666666666666666666666666666666666666667L)), static_cast<RealType>(0.5), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, static_cast<RealType>(0.3333333333333333333333333333333333333333333333333L))), static_cast<RealType>(0.5), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.999466666666666666666666666666666666666666666666666L)), static_cast<RealType>(98) / 100, 10 * tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(pdf(trim12, 0), static_cast<RealType>(0.533333333333333333333333333333333333333333333L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(trim12, 0), static_cast<RealType>(0.466666666666666666666666666666666666666666667L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(trim12, 0)), static_cast<RealType>(1 - 0.466666666666666666666666666666666666666666667L), tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, static_cast<RealType>(1 - 0.999466666666666666666666666666666666666666666666L))), static_cast<RealType>(0.98L), 10 * tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1))), static_cast<RealType>(0), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(0.5))), static_cast<RealType>(0.5), tol5eps); // OK
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1 - 0.02L))), static_cast<RealType>(0.1L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1 - 0.98L))), static_cast<RealType>(0.9L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0)), static_cast<RealType>(1), tol5eps);
+
+  RealType xs [] = {0, 0.01L, 0.02L, 0.05L, 0.1L, 0.2L, 0.3L, 0.4L, 0.5L, 0.6L, 0.7L, 0.8L, 0.9L, 0.95L, 0.98L, 0.99L, 1};
+
+  const triangular_distribution<RealType>& distr = triang;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(distr, 1.)), static_cast<RealType>(-1), tol5eps);
+  const triangular_distribution<RealType>* distp = &triang;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*distp, 1.)), static_cast<RealType>(-1), tol5eps);
+
+  const triangular_distribution<RealType>* dists [] = {&tristd, &tri011, &tri0q1, &tri0h1, &trim12};
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*dists[1], 1.)), static_cast<RealType>(0), tol5eps);
+
+   for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<RealType>* const dist = dists[i];
+    // cout << "Distribution " << i << endl;
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.5L), quantile(complement(*dist, 0.5L)),  tol5eps);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98L), quantile(complement(*dist, 1.L - 0.98L)),tol5eps);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98L), quantile(complement(*dist, 1.L - 0.98L)),tol5eps);
+  } // for i
+
+   // quantile complement
+  for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<RealType>* const dist = dists[i];
+    //cout << "Distribution " << i << endl;
+    BOOST_CHECK_EQUAL(quantile(complement(*dists[i], 1.)), quantile(*dists[i], 0.));
+    for (unsigned j = 0; j < sizeof(xs) /sizeof(RealType); j++)
+    {
+      RealType x = xs[j];
+      BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], x), quantile(complement(*dist, 1 - x)),  tol5eps);
+    } // for j
+  } // for i
+
+
+  check_triangular(
+    static_cast<RealType>(0),       // lower
+    static_cast<RealType>(0.5),     // mode
+    static_cast<RealType>(1),       // upper
+    static_cast<RealType>(0.5),     // x
+    static_cast<RealType>(0.5),     // p
+    static_cast<RealType>(1 - 0.5), // q
+    tolerance);
+
+  // Some Not-standard triangular tests.
+  check_triangular(
+    static_cast<RealType>(-1),    // lower
+    static_cast<RealType>(0),     // mode
+    static_cast<RealType>(1),     // upper
+    static_cast<RealType>(0),     // x
+    static_cast<RealType>(0.5),   // p
+    static_cast<RealType>(1 - 0.5), // q = 1 - p
+    tolerance);
+
+  check_triangular(
+    static_cast<RealType>(1),       // lower
+    static_cast<RealType>(1),       // mode
+    static_cast<RealType>(3),       // upper
+    static_cast<RealType>(2),    // x
+    static_cast<RealType>(0.75),     // p
+    static_cast<RealType>(1 - 0.75), // q = 1 - p
+    tolerance);
+
+  check_triangular(
+    static_cast<RealType>(-1),    // lower
+    static_cast<RealType>(1),       // mode
+    static_cast<RealType>(2),     // upper
+    static_cast<RealType>(1),     // x
+    static_cast<RealType>(0.66666666666666666666666666666666666666666667L),   // p
+    static_cast<RealType>(0.33333333333333333333333333333333333333333333L), // q = 1 - p
+    tolerance);
+  tolerance = (std::max)(
+    boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(boost::math::tools::epsilon<double>())) * 10; // 10 eps as a fraction.
+  cout << "Tolerance (as fraction) for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+  
+    triangular_distribution<RealType> tridef; // (-1, 0, 1) // Default distribution.
+    RealType x = static_cast<RealType>(0.5);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mean(tridef), static_cast<RealType>(0), tolerance);
+    // variance:
+    BOOST_CHECK_CLOSE_FRACTION(
+      variance(tridef), static_cast<RealType>(0.16666666666666666666666666666666666666666667L), tolerance);
+    // was 0.0833333333333333333333333333333333333333333L
+
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+      standard_deviation(tridef), sqrt(variance(tridef)), tolerance);
+    // hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      hazard(tridef, x), pdf(tridef, x) / cdf(complement(tridef, x)), tolerance);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      chf(tridef, x), -log(cdf(complement(tridef, x))), tolerance);
+    // coefficient_of_variation:
+    if (mean(tridef) != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        coefficient_of_variation(tridef), standard_deviation(tridef) / mean(tridef), tolerance);
+    }
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mode(tridef), static_cast<RealType>(0), tolerance);
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+      median(tridef), static_cast<RealType>(0), tolerance);
+    // https://reference.wolfram.com/language/ref/Skewness.html  skewness{-1, 0, +1} = 0
+    // skewness[triangulardistribution{-1, 0, +1}] does not compute a result.
+    // skewness[triangulardistribution{0, +1}] result == 0
+    // skewness[normaldistribution{0,1}] result == 0
+
+    BOOST_CHECK_EQUAL(
+      skewness(tridef), static_cast<RealType>(0));
+    // kurtosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tridef), kurtosis(tridef) - static_cast<RealType>(3L), tolerance);
+    // kurtosis excess = kurtosis - 3;
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tridef), static_cast<RealType>(-0.6), tolerance); // Constant value of -3/5 for all distributions.
+
+  {
+    triangular_distribution<RealType> tri01(0, 1, 1); //  Asymmetric 0, 1, 1 distribution.
+    RealType x = static_cast<RealType>(0.5);
+    using namespace std; // ADL of std names.
+                         // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mean(tri01), static_cast<RealType>(0.66666666666666666666666666666666666666666666666667L), tolerance);
+    // variance: N[variance[triangulardistribution{0, 1}, 1], 50]
+    BOOST_CHECK_CLOSE_FRACTION(
+      variance(tri01), static_cast<RealType>(0.055555555555555555555555555555555555555555555555556L), tolerance);
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+      standard_deviation(tri01), sqrt(variance(tri01)), tolerance);
+    // hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      hazard(tri01, x), pdf(tri01, x) / cdf(complement(tri01, x)), tolerance);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      chf(tri01, x), -log(cdf(complement(tri01, x))), tolerance);
+    // coefficient_of_variation:
+    if (mean(tri01) != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        coefficient_of_variation(tri01), standard_deviation(tri01) / mean(tri01), tolerance);
+    }
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mode(tri01), static_cast<RealType>(1), tolerance);
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+      median(tri01), static_cast<RealType>(0.70710678118654752440084436210484903928483593768847L), tolerance);
+
+    // https://reference.wolfram.com/language/ref/Skewness.html
+    // N[skewness[triangulardistribution{0, 1}, 1], 50]
+    BOOST_CHECK_CLOSE_FRACTION(
+      skewness(tri01), static_cast<RealType>(-0.56568542494923801952067548968387923142786875015078L), tolerance);
+    // kurtosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tri01), kurtosis(tri01) - static_cast<RealType>(3L), tolerance);
+    // kurtosis excess = kurtosis - 3;
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tri01), static_cast<RealType>(-0.6), tolerance); // Constant value of -3/5 for all distributions.
+  } // tri01 tests
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    using boost::math::policies::policy;
+    using boost::math::policies::domain_error;
+    using boost::math::policies::ignore_error;
+
+    // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+    typedef policy<domain_error<ignore_error> > inf_policy; // domain error returns infinity.
+    triangular_distribution<RealType, inf_policy> tridef_inf(-1, 0., 1);
+    // But can't use BOOST_CHECK_EQUAL(?, quiet_NaN)
+    using boost::math::isnan;
+    BOOST_CHECK((isnan)(pdf(tridef_inf, std::numeric_limits<RealType>::infinity())));
+  } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, does has_infinfity == false, so can't check it throws.
+    // cout << std::numeric_limits<RealType>::infinity() << ' '
+    // << (boost::math::fpclassify)(std::numeric_limits<RealType>::infinity()) << endl;
+    // value of std::numeric_limits<RealType>::infinity() is zero, so FPclassify is zero,
+    // so (boost::math::isfinite)(std::numeric_limits<RealType>::infinity()) does not detect infinity.
+    // so these tests would never throw.
+    //BOOST_MATH_CHECK_THROW(pdf(tridef, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+    //BOOST_MATH_CHECK_THROW(pdf(tridef, std::numeric_limits<RealType>::quiet_NaN()),  std::domain_error);
+    // BOOST_MATH_CHECK_THROW(pdf(tridef, boost::math::tools::max_value<RealType>() * 2),  std::domain_error); // Doesn't throw.
+    BOOST_CHECK_EQUAL(pdf(tridef, boost::math::tools::max_value<RealType>()), 0);
+  }
+  // Special cases:
+  BOOST_CHECK(pdf(tridef, -1) == 0);
+  BOOST_CHECK(pdf(tridef, 1) == 0);
+  BOOST_CHECK(cdf(tridef, 0) == 0.5);
+  BOOST_CHECK(pdf(tridef, 1) == 0);
+  BOOST_CHECK(cdf(tridef, 1) == 1);
+  BOOST_CHECK(cdf(complement(tridef, -1)) == 1);
+  BOOST_CHECK(cdf(complement(tridef, 1)) == 0);
+  BOOST_CHECK(quantile(tridef, 1) == 1);
+  BOOST_CHECK(quantile(complement(tridef, 1)) == -1);
+
+  BOOST_CHECK_EQUAL(support(trim12).first, trim12.lower());
+  BOOST_CHECK_EQUAL(support(trim12).second, trim12.upper());
+
+  // Error checks:
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  { // BOOST_CHECK tests for quiet_NaN (not for real_concept, for example - see notes above).
+    BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(0, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(0, -std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+  BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(1, 0), std::domain_error); // lower > upper!
+
+  check_out_of_range<triangular_distribution<RealType> >(-1, 0, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  //  double toleps = std::numeric_limits<double>::epsilon(); // 5 eps as a fraction.
+  double tol5eps = std::numeric_limits<double>::epsilon() * 5; // 5 eps as a fraction.
+  // double tol50eps = std::numeric_limits<double>::epsilon() * 50; // 50 eps as a fraction.
+  double tol500eps = std::numeric_limits<double>::epsilon() * 500; // 500 eps as a fraction.
+
+  // Check that can construct triangular distribution using the two convenience methods:
+  using namespace boost::math;
+  triangular triang; // Using typedef
+  // == triangular_distribution<double> triang;
+
+  BOOST_CHECK_EQUAL(triang.lower(), -1); // Check default.
+  BOOST_CHECK_EQUAL(triang.mode(), 0);
+  BOOST_CHECK_EQUAL(triang.upper(), 1);
+
+  triangular tristd (0, 0.5, 1); // Using typedef
+
+  BOOST_CHECK_EQUAL(tristd.lower(), 0);
+  BOOST_CHECK_EQUAL(tristd.mode(), 0.5);
+  BOOST_CHECK_EQUAL(tristd.upper(), 1);
+
+  //cout << "X range from " << range(tristd).first << " to " << range(tristd).second << endl;
+  //cout << "Supported from "<< support(tristd).first << ' ' << support(tristd).second << endl;
+
+  BOOST_CHECK_EQUAL(support(tristd).first, tristd.lower());
+  BOOST_CHECK_EQUAL(support(tristd).second, tristd.upper());
+
+  triangular_distribution<> tri011(0, 1, 1); // Using default RealType double.
+  // mode is upper
+  BOOST_CHECK_EQUAL(tri011.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(tri011.mode(), 1); // Check defaults again.
+  BOOST_CHECK_EQUAL(tri011.upper(), 1);
+  BOOST_CHECK_EQUAL(mode(tri011), 1);
+
+  BOOST_CHECK_EQUAL(pdf(tri011, 0), 0);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.1), 0.2);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.5), 1);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.9), 1.8);
+  BOOST_CHECK_EQUAL(pdf(tri011, 1), 2);
+
+  BOOST_CHECK_EQUAL(cdf(tri011, 0), 0);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri011, 0.1), 0.01, tol5eps);
+  BOOST_CHECK_EQUAL(cdf(tri011, 0.5), 0.25);
+  BOOST_CHECK_EQUAL(cdf(tri011, 0.9), 0.81);
+  BOOST_CHECK_EQUAL(cdf(tri011, 1), 1);
+  BOOST_CHECK_EQUAL(cdf(tri011, 9), 1);
+  BOOST_CHECK_EQUAL(mean(tri011), 0.666666666666666666666666666666666666666666666666667);
+  BOOST_CHECK_EQUAL(variance(tri011), 1./18.);
+
+  triangular tri0h1(0, 0.5, 1); // Equilateral triangle - mode is the middle.
+  BOOST_CHECK_EQUAL(tri0h1.lower(), 0);
+  BOOST_CHECK_EQUAL(tri0h1.mode(), 0.5);
+  BOOST_CHECK_EQUAL(tri0h1.upper(), 1);
+  BOOST_CHECK_EQUAL(mean(tri0h1), 0.5);
+  BOOST_CHECK_EQUAL(mode(tri0h1), 0.5);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, -1), 0);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, -1), 0);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, 1), 0);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, 999), 0);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 999), 1);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 1), 1);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0h1, 0.1), 0.02, tol5eps);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 0.5), 0.5);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0h1, 0.9), 0.98, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.), 0., tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.02), 0.1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.5), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.98), 0.9, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 1.), 1., tol5eps);
+
+  triangular tri0q1(0, 0.25, 1); // mode is near bottom.
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.02), 0.0016, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.5), 0.66666666666666666666666666666666666666666666667, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.98), 0.99946666666666661, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.0016), 0.02, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.66666666666666666666666666666666666666666666667), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, 0.3333333333333333333333333333333333333333333333333)), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.99946666666666661), 0.98, 10 * tol5eps);
+
+  triangular trim12(-1, -0.5, 2); // mode is negative.
+  BOOST_CHECK_CLOSE_FRACTION(pdf(trim12, 0), 0.533333333333333333333333333333333333333333333, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(trim12, 0), 0.466666666666666666666666666666666666666666667, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(trim12, 0)), 1 - 0.466666666666666666666666666666666666666666667, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, 1 - 0.99946666666666661)), 0.98, 10 * tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1.)), 0., tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0.5)), 0.5, tol5eps); // OK
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1. - 0.02)), 0.1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1. - 0.98)), 0.9, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0)), 1., tol5eps);
+
+  double xs [] = {0., 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.95, 0.98, 0.99, 1.};
+
+  const triangular_distribution<double>& distr = tristd;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(distr, 1.)), 0., tol5eps);
+  const triangular_distribution<double>* distp = &tristd;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*distp, 1.)), 0., tol5eps);
+
+  const triangular_distribution<double>* dists [] = {&tristd, &tri011, &tri0q1, &tri0h1, &trim12};
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*dists[1], 1.)), 0., tol5eps);
+
+  for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<double>* const dist = dists[i];
+    cout << "Distribution " << i << endl;
+    BOOST_CHECK_EQUAL(quantile(complement(*dists[i], 1.)), quantile(*dists[i], 0.));
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.5), quantile(complement(*dist, 0.5)),  tol5eps); // OK
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98), quantile(complement(*dist, 1. - 0.98)),tol5eps);
+    // cout << setprecision(17) <<  median(*dist) << endl;
+  }
+
+  cout << showpos << setprecision(2) << endl;
+
+  //triangular_distribution<double>& dist = trim12;
+  for (unsigned i = 0; i < sizeof(xs) /sizeof(double); i++)
+  {
+    double x = xs[i] * (trim12.upper() - trim12.lower()) + trim12.lower();
+    double dx = cdf(trim12, x);
+    double cx = cdf(complement(trim12, x));
+    //cout << fixed << showpos << setprecision(3)
+    //  << xs[i] << ", " << x << ",  " << pdf(trim12, x) << ",  " << dx << ",  " << cx << ",, " ;
+
+    BOOST_CHECK_CLOSE_FRACTION(cx, 1 - dx, tol500eps); // cx == 1 - dx
+
+    // << setprecision(2) << scientific << cr - x << ", " // difference x - quan(cdf)
+    // << setprecision(3) << fixed
+    // << quantile(trim12, dx) << ", "
+    // << quantile(complement(trim12, 1 - dx)) << ", "
+    // << quantile(complement(trim12, cx)) << ", "
+    // << endl;
+    BOOST_CHECK_CLOSE_FRACTION(quantile(trim12, dx), quantile(complement(trim12, 1 - dx)), tol500eps);
+  }
+  cout << endl;
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_triangular.exe"
+Running 1 test case...
+Distribution 0
+Distribution 1
+Distribution 2
+Distribution 3
+Distribution 4
+Tolerance for type float is 5.96046e-007.
+Tolerance for type double is 1.11022e-015.
+Tolerance for type long double is 1.11022e-015.
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-015.
+*** No errors detected
+
+
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_trig.cpp b/src/boost/libs/math/test/test_trig.cpp
new file mode 100644
index 00000000..2ad1ad5e
--- /dev/null
+++ b/src/boost/libs/math/test/test_trig.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_trig.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions sin_pi, cos_pi, with test data
+// generated at high precision naively using sin(pi*x) rather than
+// our routines.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+
+   test_trig(0.1F, "float");
+   test_trig(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trig(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_trig(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_trig.hpp b/src/boost/libs/math/test/test_trig.hpp
new file mode 100644
index 00000000..1092815f
--- /dev/null
+++ b/src/boost/libs/math/test/test_trig.hpp
@@ -0,0 +1,87 @@
+// Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_trig(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SIN_PI_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef SIN_PI_RATIO_FUNCTION_TO_TEST
+   pg funcp = SIN_PI_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sin_pi<value_type>;
+#else
+   pg funcp = boost::math::sin_pi;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sin_pi against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sin_pi", test_name);
+   //
+   // test cos_pi against data:
+   //
+#ifdef COS_PI_RATIO_FUNCTION_TO_TEST
+   funcp = COS_PI_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::cos_pi<value_type>;
+#else
+   funcp = boost::math::cos_pi;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cos_pi", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_trig(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "trig_data.ipp"
+
+   do_test_trig<T>(trig_data, name, "sin_pi and cos_pi");
+
+#  include "trig_data2.ipp"
+
+   do_test_trig<T>(trig_data2, name, "sin_pi and cos_pi near integers and half integers");
+}
+
diff --git a/src/boost/libs/math/test/test_trigamma.cpp b/src/boost/libs/math/test/test_trigamma.cpp
new file mode 100644
index 00000000..9e471dc1
--- /dev/null
+++ b/src/boost/libs/math/test/test_trigamma.cpp
@@ -0,0 +1,56 @@
+//  (C) Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 20, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_trigamma(0.0F, "float");
+   test_trigamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trigamma(0.0L, "long double");
+   test_trigamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_trigamma.hpp b/src/boost/libs/math/test/test_trigamma.hpp
new file mode 100644
index 00000000..9ebaa03b
--- /dev/null
+++ b/src/boost/libs/math/test/test_trigamma.hpp
@@ -0,0 +1,78 @@
+// Copyright John Maddock 2014
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+template <class Real, class T>
+void do_test_trigamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TRIGAMMA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type);
+#ifdef TRIGAMMA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TRIGAMMA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::trigamma<value_type>;
+#else
+   pg funcp = boost::math::trigamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test trigamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "trigamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_trigamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 659> data =
+   { { 
+      {{ SC_(1.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(2.0), SC_(0.64493406684822643647241516664602519) }}, {{ SC_(3.0), SC_(0.39493406684822643647241516664602519) }}, {{ SC_(4.0), SC_(0.28382295573711532536130405553491408) }}, {{ SC_(5.0), SC_(0.22132295573711532536130405553491408) }}, {{ SC_(6.0), SC_(0.18132295573711532536130405553491408) }}, {{ SC_(7.0), SC_(0.15354517795933754758352627775713630) }}, {{ SC_(8.0), SC_(0.13313701469403142513454668592040161) }}, {{ SC_(9.0), SC_(0.11751201469403142513454668592040161) }}, {{ SC_(10.0), SC_(0.10516633568168574612220100690805593) }}, {{ SC_(11.0), SC_(0.095166335681685746122201006908055927) }}, {{ SC_(12.0), SC_(0.086901872871768390750300180461774936) }}, {{ SC_(13.0), SC_(0.079957428427323946305855736017330491) }}, {{ SC_(14.0), SC_(0.074040268664010336838400114715555343) }}, {{ SC_(15.0), SC_(0.068938227847683806226155216756371670) }}, {{ SC_(16.0), SC_(0.064493783403239361781710772311927225) }}, {{ SC_(17.0), SC_(0.060587533403239361781710772311927225) }}, {{ SC_(18.0), SC_(0.057127325790782614376866481654487779) }}, {{ SC_(19.0), SC_(0.054040906037696194623780061901401359) }}, {{ SC_(20.0), SC_(0.051270822935203119831536294588381969) }}, {{ SC_(21.0), SC_(0.048770822935203119831536294588381969) }}, {{ SC_(22.0), SC_(0.046503249239057995114983006606522558) }}, {{ SC_(23.0), SC_(0.044437133536578656272007799994952310) }}, {{ SC_(24.0), SC_(0.042546774368336690298472828350339834) }}, {{ SC_(25.0), SC_(0.040810663257225579187361717239228723) }}, {{ SC_(26.0), SC_(0.039210663257225579187361717239228723) }}, {{ SC_(27.0), SC_(0.037731373316397176820497811913784936) }}, {{ SC_(28.0), SC_(0.036359631203914323596903847579079860) }}, {{ SC_(29.0), SC_(0.035084120999832690943842623089283942) }}, {{ SC_(30.0), SC_(0.033895060357739944213759388844337450) }}, {{ SC_(31.0), SC_(0.032783949246628833102648277733226339) }}, {{ SC_(32.0), SC_(0.031743366520302090126581680438741427) }}, {{ SC_(33.0), SC_(0.030766804020302090126581680438741427) }}, {{ SC_(34.0), SC_(0.029848530374755717307481588611376873) }}, {{ SC_(35.0), SC_(0.028983478471641530456270515947017011) }}, {{ SC_(36.0), SC_(0.028167151941029285558311332273547623) }}, {{ SC_(37.0), SC_(0.027395547002757680620039727335276018) }}, {{ SC_(38.0), SC_(0.026665086812838031240930888766977990) }}, {{ SC_(39.0), SC_(0.025972566037214762542869946938723143) }}, {{ SC_(40.0), SC_(0.025315103841291028157597100127414793) }}, {{ SC_(41.0), SC_(0.024690103841291028157597100127414793) }}, {{ SC_(42.0), SC_(0.024095219843670564148078956165487369) }}, {{ SC_(43.0), SC_(0.023528326419634282968940634170022516) }}, {{ SC_(44.0), SC_(0.022987493536995018501661023569698017) }}, {{ SC_(45.0), SC_(0.022470964611375183790917221916805455) }}, {{ SC_(46.0), SC_(0.021977137450881356630423394756311627) }}, {{ SC_(47.0), SC_(0.021504547658820865137039651845158508) }}, {{ SC_(48.0), SC_(0.021051854132338293837809230840178880) }}, {{ SC_(49.0), 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+      {{ SC_(-0.5000000000), SC_(8.9348022005446793094172454999380756) }}, {{ SC_(-1.500000000), SC_(9.3792466449891237538616899443825200) }}, {{ SC_(-2.500000000), SC_(9.5392466449891237538616899443825200) }}, {{ SC_(-3.500000000), SC_(9.6208792980503482436576083117294588) }}, {{ SC_(-4.500000000), SC_(9.6702620140997309597069910277788415) }}, {{ SC_(-5.500000000), SC_(9.7033198653394003811945943335639655) }}, {{ SC_(-6.500000000), SC_(9.7269885043926548190644168187710661) }}, {{ SC_(-7.500000000), SC_(9.7447662821704325968421945965488438) }}, {{ SC_(-8.500000000), SC_(9.7586071126202595864615717591786016) }}, {{ SC_(-9.500000000), SC_(9.7696874450302318856305468284306792) }}, {{ SC_(-10.50000000), SC_(9.7787577398148123844967599803581168) }}, {{ SC_(-11.50000000), SC_(9.7863191764877802483908998669365667) }}, {{ SC_(-12.50000000), SC_(9.7927191764877802483908998669365667) }}, {{ SC_(-13.50000000), SC_(9.7982061449377116612852757242753870) }}, {{ SC_(-14.50000000), SC_(9.8029623875060826482056086612551730) }}, {{ SC_(-15.50000000), SC_(9.8071247184113896201098750504331127) }}, {{ SC_(-16.50000000), SC_(9.8107978129935751113862754177425709) }}, {{ SC_(-17.50000000), SC_(9.8140631191160240909781121524364484) }}, {{ SC_(-18.50000000), SC_(9.8169849598757026884945475067096405) }}, {{ SC_(-19.50000000), SC_(9.8196148086593976260356388939548739) }},
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+   } };
+   do_test_trigamma<T>(data, name, "Mathematica Data");
+}
+
diff --git a/src/boost/libs/math/test/test_uniform.cpp b/src/boost/libs/math/test/test_uniform.cpp
new file mode 100644
index 00000000..daa89387
--- /dev/null
+++ b/src/boost/libs/math/test/test_uniform.cpp
@@ -0,0 +1,461 @@
+// Copyright Paul Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_uniform.cpp
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/uniform.hpp>
+    using boost::math::uniform_distribution;
+#include <boost/math/tools/test.hpp> 
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+void check_uniform(RealType lower, RealType upper, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+         uniform_distribution<RealType>(lower, upper),   // distribution.
+         x),  // random variable.
+         p,    // probability.
+         tol);   // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+         complement(
+            uniform_distribution<RealType>(lower, upper), // distribution.
+            x)),    // random variable.
+         q,    // probability complement.
+         tol);  // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+         uniform_distribution<RealType>(lower, upper),  // distribution.
+         p),   // probability.
+         x,  // random variable.
+         tol);  // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+         complement(
+            uniform_distribution<RealType>(lower, upper),  // distribution.
+            q)),     // probability complement.
+         x,                                             // random variable.
+         tol);  // tolerance.
+} // void check_uniform
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at 
+   // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   //
+   // Tolerance is just over 5 decimal digits expressed as a fraction:
+   // that's the limit of the test data.
+   RealType tolerance = 2e-5f;  
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+
+   using std::exp;
+
+   // Tests for PDF
+   //
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1)), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x > upper
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0), 
+      tolerance); 
+   BOOST_CHECK_CLOSE_FRACTION( // x < lower
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2)), 
+      static_cast<RealType>(0), 
+      tolerance);
+
+   if(std::numeric_limits<RealType>::has_infinity)
+    { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+      // Note that infinity is not implemented for real_concept, so these tests
+      // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+     BOOST_MATH_CHECK_THROW( // x == infinity should NOT be OK.
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(std::numeric_limits<RealType>::infinity())), 
+       std::domain_error);
+
+     BOOST_MATH_CHECK_THROW( // x == minus infinity should be OK too.
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::infinity())), 
+       std::domain_error);
+   }
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   { // BOOST_CHECK tests for NaN using std::numeric_limits<>::has_quiet_NaN() - should throw.
+     BOOST_MATH_CHECK_THROW(
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())), 
+       std::domain_error);
+     BOOST_MATH_CHECK_THROW(
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::quiet_NaN())), 
+       std::domain_error);
+   } // test for x = NaN using std::numeric_limits<>::quiet_NaN()
+
+   // cdf
+   BOOST_CHECK_EQUAL( // x < lower
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0) );
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9)), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_EQUAL( // x > upper
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2)), 
+      static_cast<RealType>(1));
+
+  // cdf complement
+   BOOST_CHECK_EQUAL( // x < lower
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1));
+   BOOST_CHECK_EQUAL( // x == 0
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1));
+   BOOST_CHECK_CLOSE_FRACTION( // x = 0.1
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1))), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x = 0.5
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5))), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_EQUAL( // x == 1
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1))), 
+      static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL( // x > upper
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2))), 
+      static_cast<RealType>(0));
+
+   // quantile
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9)), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1)), 
+      static_cast<RealType>(1), 
+      tolerance);
+
+   // quantile complement
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1))), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9))), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5))), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1))), 
+      static_cast<RealType>(0), 
+      tolerance);
+
+   // Some tests using a different location & scale, neight zero or unity.
+   BOOST_CHECK_CLOSE_FRACTION( // x == mid
+      pdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      pdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(+2)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333),  // 1 / (2 - -1) = 1/3
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(0)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.6666666666666666666666666666666666666666666666666667), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(2)), 
+      static_cast<RealType>(1), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      quantile(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(0.6666666666666666666666666666666666666666666666666667)), 
+      static_cast<RealType>(1),
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(0),       // lower
+      static_cast<RealType>(1),       // upper
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.5),     // p
+      static_cast<RealType>(1 - 0.5), // q
+      tolerance);
+
+      // Some Not-standard uniform tests.
+      check_uniform(
+      static_cast<RealType>(-1),    // lower
+      static_cast<RealType>(1),     // upper
+      static_cast<RealType>(0),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(1 - 0.5), // q = 1 - p
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(1),    // lower
+      static_cast<RealType>(3),     // upper
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(1 - 0.5), // q = 1 - p
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(-1),    // lower
+      static_cast<RealType>(2),     // upper
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.66666666666666666666666666666666666666666667),   // p
+      static_cast<RealType>(0.33333333333333333333333333333333333333333333), // q = 1 - p
+      tolerance);
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5; // 5 eps as a fraction.
+    cout << "Tolerance (as fraction) for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+   uniform_distribution<RealType> distu01(0, 1);
+   RealType x = static_cast<RealType>(0.5);
+   using namespace std; // ADL of std names.
+   // mean:
+   BOOST_CHECK_CLOSE_FRACTION(
+      mean(distu01), static_cast<RealType>(0.5), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE_FRACTION(
+      variance(distu01), static_cast<RealType>(0.0833333333333333333333333333333333333333333), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE_FRACTION(
+    standard_deviation(distu01), sqrt(variance(distu01)), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE_FRACTION(
+    hazard(distu01, x), pdf(distu01, x) / cdf(complement(distu01, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE_FRACTION(
+    chf(distu01, x), -log(cdf(complement(distu01, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE_FRACTION(
+    coefficient_of_variation(distu01), standard_deviation(distu01) / mean(distu01), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE_FRACTION(
+    mode(distu01), static_cast<RealType>(0), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      median(distu01), static_cast<RealType>(0.5), tolerance);
+   // skewness:
+   BOOST_CHECK_EQUAL(
+    skewness(distu01), static_cast<RealType>(0));
+   // kertosis:
+   BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis(distu01), kurtosis_excess(distu01) + static_cast<RealType>(3), tolerance);
+   // kertosis excess:
+   BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis_excess(distu01), static_cast<RealType>(-1.2), tolerance);
+
+   if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double, long double, that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(distu01, -std::numeric_limits<RealType>::infinity()),  std::domain_error);
+   } // test for infinity using std::numeric_limits<>::infinity()
+   else
+   { // real_concept case, does has_infinfity == false, so can't check it throws.
+     // cout << std::numeric_limits<RealType>::infinity() << ' '
+     // << (boost::math::fpclassify)(std::numeric_limits<RealType>::infinity()) << endl;
+     // value of std::numeric_limits<RealType>::infinity() is zero, so FPclassify is zero,
+     // so (boost::math::isfinite)(std::numeric_limits<RealType>::infinity()) does not detect infinity.
+     // so these tests would never throw.
+     //BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+     //BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::quiet_NaN()),  std::domain_error);
+     // BOOST_MATH_CHECK_THROW(pdf(distu01, boost::math::tools::max_value<RealType>() * 2),  std::domain_error); // Doesn't throw.
+     BOOST_CHECK_EQUAL(pdf(distu01, boost::math::tools::max_value<RealType>()), 0); 
+   }
+   // Special cases:
+   BOOST_CHECK(pdf(distu01, 0) == 1);
+   BOOST_CHECK(cdf(distu01, 0) == 0);
+   BOOST_CHECK(pdf(distu01, 1) == 1);
+   BOOST_CHECK(cdf(distu01, 1) == 1);
+   BOOST_CHECK(cdf(complement(distu01, 0)) == 1);
+   BOOST_CHECK(cdf(complement(distu01, 1)) == 0);
+   BOOST_CHECK(quantile(distu01, 0) == 0);
+   BOOST_CHECK(quantile(complement(distu01, 0)) == 1);
+   BOOST_CHECK(quantile(distu01, 1) == 1);
+   BOOST_CHECK(quantile(complement(distu01, 1)) == 0);
+
+   // Error checks:
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   { // BOOST_CHECK tests for constructing with quiet_NaN (not for real_concept, for example - see notes above).
+     BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(0, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+     BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(0, -std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+   }
+   BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(1, 0), std::domain_error); // lower > upper!
+   BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(1, 1), std::domain_error); // lower == upper!
+
+   check_out_of_range<uniform_distribution<RealType> >(1, 5);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct uniform distribution using the two convenience methods:
+  using namespace boost::math;
+  uniform unistd; // Using typedef
+  // == uniform_distribution<double> unistd;
+  BOOST_CHECK_EQUAL(unistd.lower(), 0); // Check defaults.
+  BOOST_CHECK_EQUAL(unistd.upper(), 1);
+   uniform_distribution<> myu01(0, 1); // Using default RealType double.
+  BOOST_CHECK_EQUAL(myu01.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(myu01.upper(), 1);
+
+  // Test on extreme values of random variate x, using just double because it has numeric_limit infinity etc..
+  // No longer allow x to be + or - infinity, then these tests should throw.
+  BOOST_MATH_CHECK_THROW(pdf(unistd, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(pdf(unistd, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+  BOOST_MATH_CHECK_THROW(cdf(unistd, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(cdf(unistd, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+
+  BOOST_CHECK_EQUAL(pdf(unistd, +(std::numeric_limits<double>::max)()), 0); // x = + max
+  BOOST_CHECK_EQUAL(pdf(unistd, -(std::numeric_limits<double>::min)()), 0); // x = - min
+  BOOST_CHECK_EQUAL(cdf(unistd, +(std::numeric_limits<double>::max)()), 1); // x = + max
+  BOOST_CHECK_EQUAL(cdf(unistd, -(std::numeric_limits<double>::min)()), 0); // x = - min
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(uniform_distribution<> zinf(0, +std::numeric_limits<double>::infinity()), std::domain_error); // zero to infinity using default RealType double.
+#else
+  BOOST_MATH_CHECK_THROW(uniform_distribution<>(0, +std::numeric_limits<double>::infinity()), std::domain_error); // zero to infinity using default RealType double.
+#endif
+   uniform_distribution<> zmax(0, +(std::numeric_limits<double>::max)()); // zero to max using default RealType double.
+  BOOST_CHECK_EQUAL(zmax.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(zmax.upper(), +(std::numeric_limits<double>::max)());
+
+  BOOST_CHECK_EQUAL(pdf(zmax, -1), 0); // pdf is 1/(0 - max) = almost zero for all x
+  BOOST_CHECK_EQUAL(pdf(zmax, 0), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_CHECK_EQUAL(pdf(zmax, 1), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_MATH_CHECK_THROW(pdf(zmax, +std::numeric_limits<double>::infinity()), std::domain_error); // pdf is 1/(0 - infinity) = zero for all x
+  BOOST_MATH_CHECK_THROW(pdf(zmax, -std::numeric_limits<double>::infinity()), std::domain_error); 
+  BOOST_CHECK_EQUAL(pdf(zmax, +(std::numeric_limits<double>::max)()), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_CHECK_EQUAL(pdf(zmax, -(std::numeric_limits<double>::max)()), 0); // x = 
+#ifndef BOOST_NO_EXCEPTIONS
+  // Ensure NaN throws an exception.
+  BOOST_MATH_CHECK_THROW(uniform_distribution<> zNaN(0, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+  BOOST_MATH_CHECK_THROW(pdf(unistd, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+#else
+  BOOST_MATH_CHECK_THROW(uniform_distribution<>(0, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+  BOOST_MATH_CHECK_THROW(pdf(unistd, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+#endif
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_uniform.exe"
+Running 1 test case...
+Tolerance for type float is 2e-005.
+Tolerance (as fraction) for type float is 5.96046e-007.
+Tolerance for type double is 2e-005.
+Tolerance (as fraction) for type double is 1.11022e-015.
+Tolerance for type long double is 2e-005.
+Tolerance (as fraction) for type long double is 1.11022e-015.
+Tolerance for type class boost::math::concepts::real_concept is 2e-005.
+Tolerance (as fraction) for type class boost::math::concepts::real_concept is 1.11022e-015.
+*** No errors detected
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_value.hpp b/src/boost/libs/math/test/test_value.hpp
new file mode 100644
index 00000000..c1059620
--- /dev/null
+++ b/src/boost/libs/math/test/test_value.hpp
@@ -0,0 +1,120 @@
+// Copyright Paul A. Bristow 2017.
+// Copyright John Maddock 2017.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_value.hpp
+
+#ifndef TEST_VALUE_HPP
+#define TEST_VALUE_HPP
+
+// BOOST_MATH_TEST_VALUE is used to create a test value of suitable type from a decimal digit string.
+// Two parameters, both a floating-point literal double like 1.23 (not long double so no suffix L)
+// and a decimal digit string const char* like "1.23" must be provided.
+// The decimal value represented must be the same of course, with at least enough precision for long double.
+//   Note there are two gotchas to this approach:
+// * You need all values to be real floating-point values
+// * and *MUST* include a decimal point (to avoid confusion with an integer literal).
+// * It's slow to compile compared to a simple literal.
+
+// Speed is not an issue for a few test values,
+// but it's not generally usable in large tables
+// where you really need everything to be statically initialized.
+
+// Macro BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE provides a global diagnostic value for create_type.
+
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/type_traits/is_convertible.hpp>
+
+#ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+// global int create_type(0); must be defined before including this file.
+#endif
+
+#ifdef BOOST_HAS_FLOAT128
+typedef __float128 largest_float;
+#define BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) x##Q
+#define BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS std::numeric_limits<boost::multiprecision::float128>::digits
+#else
+typedef long double largest_float;
+#define BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) x##L
+#define BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS std::numeric_limits<long double>::digits
+#endif
+
+template <class T, class T2>
+inline T create_test_value(largest_float val, const char*, const boost::mpl::true_&, const T2&)
+{ // Construct from long double or quad parameter val (ignoring string/const char* str).
+  // (This is case for MPL parameters = true_ and T2 == false_,
+  // and  MPL parameters = true_ and T2 == true_  cpp_bin_float)
+  // All built-in/fundamental floating-point types,
+  // and other User-Defined Types that can be constructed without loss of precision
+  // from long double suffix L (or quad suffix Q),
+  //
+  // Choose this method, even if can be constructed from a string,
+  // because it will be faster, and more likely to be the closest representation.
+  // (This is case for MPL parameters = mpl::true_ and T2 == mpl::true_).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 1;
+  #endif
+  return static_cast<T>(val);
+}
+
+template <class T>
+inline T create_test_value(largest_float, const char* str, const boost::mpl::false_&, const boost::mpl::true_&)
+{ // Construct from decimal digit string const char* @c str (ignoring long double parameter).
+  // For example, extended precision or other User-Defined types which ARE constructible from a string
+  // (but not from double, or long double without loss of precision).
+  // (This is case for MPL parameters = mpl::false_ and T2 == mpl::true_).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 2;
+  #endif
+  return T(str);
+}
+
+template <class T>
+inline T create_test_value(largest_float, const char* str, const boost::mpl::false_&, const boost::mpl::false_&)
+{ // Create test value using from lexical cast of decimal digit string const char* str.
+  // For example, extended precision or other User-Defined types which are NOT constructible from a string
+  // (NOR constructible from a long double).
+    // (This is case T1 = mpl::false and T2 == mpl::false).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 3;
+  #endif
+  return boost::lexical_cast<T>(str);
+}
+
+// T real type, x a decimal digits representation of a floating-point, for example: 12.34.
+// It must include a decimal point (or it would be interpreted as an integer).
+
+//  x is converted to a long double by appending the letter L (to suit long double fundamental type), 12.34L.
+//  x is also passed as a const char* or string representation "12.34"
+//  (to suit most other types that cannot be constructed from long double without possible loss).
+
+// BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) makes a long double or quad version, with
+// suffix a letter L (or Q) to suit long double (or quad) fundamental type, 12.34L or 12.34Q.
+// #x makes a decimal digit string version to suit multiprecision and fixed_point constructors, "12.34".
+// (Constructing from double or long double (or quad) could lose precision for multiprecision or fixed-point).
+
+// The matching create_test_value function above is chosen depending on the T1 and T2 mpl bool truths.
+// The string version from #x is used if the precision of T is greater than long double.
+
+// Example: long double test_value = BOOST_MATH_TEST_VALUE(double, 1.23456789);
+
+#define BOOST_MATH_TEST_VALUE(T, x) create_test_value<T>(\
+  BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x),\
+  #x,\
+  boost::mpl::bool_<\
+    std::numeric_limits<T>::is_specialized &&\
+      (std::numeric_limits<T>::radix == 2)\
+        && (std::numeric_limits<T>::digits <= BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS)\
+        && boost::is_convertible<largest_float, T>::value>(),\
+  boost::mpl::bool_<\
+    boost::is_constructible<T, const char*>::value>()\
+)
+#endif // TEST_VALUE_HPP
+
+
diff --git a/src/boost/libs/math/test/test_vector_barycentric_rational.cpp b/src/boost/libs/math/test/test_vector_barycentric_rational.cpp
new file mode 100644
index 00000000..ccfaa3b6
--- /dev/null
+++ b/src/boost/libs/math/test/test_vector_barycentric_rational.cpp
@@ -0,0 +1,385 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE vector_barycentric_rational
+
+#include <cmath>
+#include <random>
+#include <array>
+#include <Eigen/Dense>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+#include <boost/math/interpolators/vector_barycentric_rational.hpp>
+
+using std::sqrt;
+using std::abs;
+using std::numeric_limits;
+
+template<class Real>
+void test_agreement_with_1d()
+{
+    std::cout << "Testing with 1D interpolation on type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    std::vector<Real> t_copy0 = t;
+    std::vector<Real> t_copy1 = t;
+
+    std::vector<Real> y_copy0(y.size());
+    std::vector<Real> y_copy1(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        y_copy0[i] = y[i][0];
+        y_copy1[i] = y[i][1];
+    }
+
+    boost::random::uniform_real_distribution<Real> dis2(t[0], t[t.size()-1]);
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+    boost::math::barycentric_rational<Real> scalar_interpolator0(std::move(t_copy0), std::move(y_copy0));
+    boost::math::barycentric_rational<Real> scalar_interpolator1(std::move(t_copy1), std::move(y_copy1));
+
+
+    Eigen::Vector2d z;
+
+    size_t samples = 0;
+    while (samples++ < 1000)
+    {
+        Real t = dis2(gen);
+        interpolator(z, t);
+        BOOST_CHECK_CLOSE(z[0], scalar_interpolator0(t), 10000*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], scalar_interpolator1(t), 10000*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_interpolation_condition_eigen()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on Eigen vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_std_array()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on std::array vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<std::array<Real, 2>> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<std::array<Real, 2>> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    std::array<Real, 2> z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_interpolation_condition_ublas()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation ublas vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<boost::numeric::ublas::vector<Real>> y(100);
+    t[0] = dis(gen);
+    y[0].resize(2);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i].resize(2);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Real> t_copy = t;
+    std::vector<boost::numeric::ublas::vector<Real>> y_copy = y;
+
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    boost::numeric::ublas::vector<Real> z(2);
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_high_order()
+{
+    std::cout << "Testing interpolation condition in high order for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(5);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 5);
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_constant_eigen()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on Eigen vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        Eigen::Vector2d zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_constant_std_array()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on std::array vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<std::array<Real, 2>> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<std::array<Real,2>> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    std::array<Real, 2> z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        std::array<Real, 2> zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_constant_high_order()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 5);
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        Eigen::Vector2d zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_weights()
+{
+    std::cout << "Testing weights are calculated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(9);
+    boost::random::uniform_real_distribution<Real> dis(0.005, 0.01);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::detail::vector_barycentric_rational_imp<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 1);
+
+    for (size_t i = 1; i < t_copy.size() - 1; ++i)
+    {
+        Real w = interpolator.weight(i);
+        Real w_expect = 1/(t_copy[i] - t_copy[i - 1]) + 1/(t_copy[i+1] - t_copy[i]);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, -w_expect, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, w_expect, 0.00001);
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(vector_barycentric_rational)
+{
+    test_weights<double>();
+    test_constant_eigen<double>();
+    test_constant_std_array<double>();
+    test_constant_high_order<double>();
+    test_interpolation_condition_eigen<double>();
+    test_interpolation_condition_ublas<double>();
+    test_interpolation_condition_std_array<double>();
+    test_interpolation_condition_high_order<double>();
+    test_agreement_with_1d<double>();
+}
diff --git a/src/boost/libs/math/test/test_weibull.cpp b/src/boost/libs/math/test/test_weibull.cpp
new file mode 100644
index 00000000..f56b08f2
--- /dev/null
+++ b/src/boost/libs/math/test/test_weibull.cpp
@@ -0,0 +1,399 @@
+// Copyright John Maddock 2006, 2012.
+// Copyright Paul A. Bristow 2007, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_weibull.cpp
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) //  conditional expression is constant.
+#endif
+
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/weibull.hpp>
+    using boost::math::weibull_distribution;
+#include <boost/math/tools/test.hpp> 
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+void check_weibull(RealType shape, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         weibull_distribution<RealType>(shape, scale),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            weibull_distribution<RealType>(shape, scale),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         weibull_distribution<RealType>(shape, scale),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            weibull_distribution<RealType>(shape, scale),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at 
+   // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   //
+   // Tolerance is just over 5 decimal digits expressed as a persentage:
+   // that's the limit of the test data.
+   RealType tolerance = 2e-5f * 100;  
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   using std::exp;
+
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.487646),   // p
+      static_cast<RealType>(1-0.487646),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(1-0.304463),   // p
+      static_cast<RealType>(0.304463),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.243117),   // p
+      static_cast<RealType>(0.243117),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(5),     // x
+      static_cast<RealType>(1-0.168929),   // p
+      static_cast<RealType>(0.168929),   // q
+      tolerance);
+
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.200371),   // p
+      static_cast<RealType>(1-0.200371),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.393469),   // p
+      static_cast<RealType>(1-0.393469),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(1-0.493069),   // p
+      static_cast<RealType>(0.493069),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(5),     // x
+      static_cast<RealType>(1-0.205741),   // p
+      static_cast<RealType>(0.205741),   // q
+      tolerance);
+
+   check_weibull(
+      static_cast<RealType>(2),     // shape
+      static_cast<RealType>(0.25),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.147856),   // p
+      static_cast<RealType>(1-0.147856),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(2),     // shape
+      static_cast<RealType>(0.25),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(1-0.018316),   // p
+      static_cast<RealType>(0.018316),   // q
+      tolerance);
+
+   /*
+   This test value came from 
+   http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   but appears to be grossly incorrect: certainly it does not agree with the values
+   I get from pushing numbers into a calculator (0.0001249921878255106610615995196123).   
+   Strangely other test values generated for the same shape and scale parameters do look OK.
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(1.25E-40),   // p
+      static_cast<RealType>(1-1.25E-40),   // q
+      tolerance);
+      */
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.015504),   // p
+      static_cast<RealType>(1-0.015504),   // q
+      tolerance * 10); // few digits in test value
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.117503),   // p
+      static_cast<RealType>(1-0.117503),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+
+   //
+   // Tests for PDF
+   //
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.856579), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.183940), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(5)), 
+      static_cast<RealType>(0.015020), 
+      tolerance * 10); // fewer digits in test value
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.894013), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.303265), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.174326), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(2, 0.25), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(2.726860), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(2, 0.25), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.293050), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(3, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.330936), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(3, 2), static_cast<RealType>(2)), 
+      static_cast<RealType>(0.551819), 
+      tolerance);
+
+   //
+   // These test values were obtained using the formulas at 
+   // http://en.wikipedia.org/wiki/Weibull_distribution
+   // which are subtly different to (though mathematically
+   // the same as) the ones on the Mathworld site
+   // http://mathworld.wolfram.com/WeibullDistribution.html
+   // which are the ones used in the implementation.
+   // The assumption is that if both computation methods
+   // agree then the implementation is probably correct...
+   // What's not clear is which method is more accurate.
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   weibull_distribution<RealType> dist(2, 3);
+   RealType x = static_cast<RealType>(0.125);
+
+   BOOST_MATH_STD_USING // ADL of std lib math functions
+
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , dist.scale() * boost::math::tgamma(1 + 1 / dist.shape()), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , dist.scale() * dist.scale() * boost::math::tgamma(1 + 2 / dist.shape()) - mean(dist) * mean(dist), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+    standard_deviation(dist)
+    , sqrt(variance(dist)), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+    hazard(dist, x)
+    , pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+    chf(dist, x)
+    , -log(cdf(complement(dist, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+    coefficient_of_variation(dist)
+    , standard_deviation(dist) / mean(dist), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE(
+    mode(dist)
+    , dist.scale() * pow((dist.shape() - 1) / dist.shape(), 1/dist.shape()), tolerance);
+   // median:
+   BOOST_CHECK_CLOSE(
+    median(dist)
+    , dist.scale() * pow(log(static_cast<RealType>(2)), 1 / dist.shape()), tolerance);
+   // skewness:
+   BOOST_CHECK_CLOSE(
+    skewness(dist), 
+    (boost::math::tgamma(1 + 3/dist.shape()) * pow(dist.scale(), RealType(3)) - 3 * mean(dist) * variance(dist) - pow(mean(dist), RealType(3))) / pow(standard_deviation(dist), RealType(3)), 
+    tolerance * 100);
+   // kertosis:
+   BOOST_CHECK_CLOSE(
+    kurtosis(dist)
+    , kurtosis_excess(dist) + 3, tolerance);
+   // kertosis excess:
+   BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist), 
+    (pow(dist.scale(), RealType(4)) * boost::math::tgamma(1 + 4/dist.shape()) 
+         - 3 * variance(dist) * variance(dist) 
+         - 4 * skewness(dist) * variance(dist) * standard_deviation(dist) * mean(dist)
+         - 6 * variance(dist) * mean(dist) * mean(dist) 
+         - pow(mean(dist), RealType(4))) / (variance(dist) * variance(dist)), 
+    tolerance * 1000);
+
+   //
+   // Special cases:
+   //
+   BOOST_CHECK(cdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(complement(dist, 0)) == 1);
+   BOOST_CHECK(quantile(dist, 0) == 0);
+   BOOST_CHECK(quantile(complement(dist, 1)) == 0);
+
+   BOOST_CHECK_EQUAL(pdf(weibull_distribution<RealType>(1, 1), 0), 1);
+
+   //
+   // Error checks:
+   //
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(1, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(0, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 1), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, 0)), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+   BOOST_CHECK_EQUAL(pdf(dist, 0), exp(-pow(RealType(0) / RealType(3), RealType(2))) * pow(RealType(0), RealType(1)) * RealType(2) / RealType(3));
+   BOOST_CHECK_EQUAL(pdf(weibull_distribution<RealType>(1, 3), 0), exp(-pow(RealType(0) / RealType(3), RealType(1))) * pow(RealType(0), RealType(0)) * RealType(1) / RealType(3));
+   BOOST_MATH_CHECK_THROW(pdf(weibull_distribution<RealType>(0.5, 3), 0), std::overflow_error);
+
+   check_out_of_range<weibull_distribution<RealType> >(1, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can construct weibull distribution using the two convenience methods:
+  using namespace boost::math;
+  weibull myw1(2); // Using typedef
+   weibull_distribution<> myw2(2); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_weibull.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.002 %
+  Tolerance for type float is 5.96046e-005 %
+  Tolerance for type double is 0.002 %
+  Tolerance for type double is 1.11022e-013 %
+  Tolerance for type long double is 0.002 %
+  Tolerance for type long double is 1.11022e-013 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.002 %
+  Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+  
+  *** No errors detected
+
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_zeta.cpp b/src/boost/libs/math/test/test_zeta.cpp
new file mode 100644
index 00000000..1182aa77
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta.cpp
@@ -0,0 +1,133 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
+#  define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#endif
+#include "test_zeta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the zeta function. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Random values less than 1", // test data group
+      ".*", 1200, 500);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Random values less than 1", // test data group
+      ".*", 1200, 500);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Integer.*",                 // test data group
+      ".*", 30, 15);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 60, 15);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 15);                  // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_zeta(0.1F, "float");
+   test_zeta(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_zeta(0.1L, "long double");
+   test_zeta(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_zeta.hpp b/src/boost/libs/math/test/test_zeta.hpp
new file mode 100644
index 00000000..52d92810
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta.hpp
@@ -0,0 +1,177 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_zeta(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ZETA_FUNCTION_TO_TEST))
+   //
+   // test zeta(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#ifdef ZETA_FUNCTION_TO_TEST
+   pg funcp = ZETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::zeta<value_type>;
+#else
+   pg funcp = boost::math::zeta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test zeta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "zeta", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_zeta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "zeta_data.ipp"
+   do_test_zeta<T>(zeta_data, name, "Zeta: Random values greater than 1");
+#include "zeta_neg_data.ipp"
+   do_test_zeta<T>(zeta_neg_data, name, "Zeta: Random values less than 1");
+#include "zeta_1_up_data.ipp"
+   do_test_zeta<T>(zeta_1_up_data, name, "Zeta: Values close to and greater than 1");
+#include "zeta_1_below_data.ipp"
+   do_test_zeta<T>(zeta_1_below_data, name, "Zeta: Values close to and less than 1");
+
+   boost::array<boost::array<typename table_type<T>::type, 2>, 90> integer_data = { {
+      {{ SC_(2.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(3.0), SC_(1.2020569031595942853997381615114500) }}, {{ SC_(4.0), SC_(1.0823232337111381915160036965411679) }}, {{ SC_(5.0), SC_(1.0369277551433699263313654864570342) }}, {{ SC_(6.0), SC_(1.0173430619844491397145179297909205) }}, {{ SC_(7.0), SC_(1.0083492773819228268397975498497968) }}, {{ SC_(8.0), SC_(1.0040773561979443393786852385086525) }}, {{ SC_(9.0), SC_(1.0020083928260822144178527692324121) }}, {{ SC_(10.0), SC_(1.0009945751278180853371459589003190) }}, {{ SC_(11.0), SC_(1.0004941886041194645587022825264699) }}, {{ SC_(12.0), SC_(1.0002460865533080482986379980477397) }}, {{ SC_(13.0), SC_(1.0001227133475784891467518365263574) }}, {{ SC_(14.0), SC_(1.0000612481350587048292585451051353) }}, {{ SC_(15.0), SC_(1.0000305882363070204935517285106451) }}, {{ SC_(16.0), SC_(1.0000152822594086518717325714876367) }}, {{ SC_(17.0), SC_(1.0000076371976378997622736002935630) }}, {{ SC_(18.0), SC_(1.0000038172932649998398564616446219) }}, {{ SC_(19.0), SC_(1.0000019082127165539389256569577951) }}, {{ SC_(20.0), SC_(1.0000009539620338727961131520386834) }}, {{ SC_(21.0), SC_(1.0000004769329867878064631167196044) }}, {{ SC_(22.0), SC_(1.0000002384505027277329900036481868) }}, {{ SC_(23.0), SC_(1.0000001192199259653110730677887189) }}, {{ SC_(24.0), SC_(1.0000000596081890512594796124402079) }}, {{ SC_(25.0), SC_(1.0000000298035035146522801860637051) }}, {{ SC_(26.0), SC_(1.0000000149015548283650412346585066) }}, {{ SC_(27.0), SC_(1.0000000074507117898354294919810042) }}, {{ SC_(28.0), SC_(1.0000000037253340247884570548192040) }}, {{ SC_(29.0), SC_(1.0000000018626597235130490064039099) }}, {{ SC_(30.0), SC_(1.0000000009313274324196681828717647) }}, {{ SC_(31.0), SC_(1.0000000004656629065033784072989233) }}, {{ SC_(32.0), SC_(1.0000000002328311833676505492001456) }}, {{ SC_(33.0), SC_(1.0000000001164155017270051977592974) }}, {{ SC_(34.0), SC_(1.0000000000582077208790270088924369) }}, {{ SC_(35.0), SC_(1.0000000000291038504449709968692943) }}, {{ SC_(36.0), SC_(1.0000000000145519218910419842359296) }}, {{ SC_(37.0), SC_(1.0000000000072759598350574810145209) }}, {{ SC_(38.0), SC_(1.0000000000036379795473786511902372) }}, {{ SC_(39.0), SC_(1.0000000000018189896503070659475848) }}, {{ SC_(40.0), SC_(1.0000000000009094947840263889282533) }}, {{ SC_(41.0), SC_(1.0000000000004547473783042154026799) }}, {{ SC_(42.0), SC_(1.0000000000002273736845824652515227) }}, {{ SC_(43.0), SC_(1.0000000000001136868407680227849349) }}, {{ SC_(44.0), SC_(1.0000000000000568434198762758560928) }}, {{ SC_(45.0), SC_(1.0000000000000284217097688930185546) }}, {{ SC_(46.0), SC_(1.0000000000000142108548280316067698) }}, {{ SC_(47.0), SC_(1.0000000000000071054273952108527129) }}, {{ SC_(48.0), SC_(1.0000000000000035527136913371136733) }}, {{ SC_(49.0), SC_(1.0000000000000017763568435791203275) }}, {{ SC_(50.0), SC_(1.0000000000000008881784210930815903) }}, {{ SC_(51.0), SC_(1.0000000000000004440892103143813364) }}, {{ SC_(52.0), SC_(1.0000000000000002220446050798041984) }}, {{ SC_(53.0), SC_(1.0000000000000001110223025141066134) }}, {{ SC_(54.0), SC_(1.0000000000000000555111512484548124) }}, {{ SC_(55.0), SC_(1.0000000000000000277555756213612417) }}, {{ SC_(56.0), SC_(1.0000000000000000138777878097252328) }}, {{ SC_(57.0), SC_(1.0000000000000000069388939045441537) }}, {{ SC_(58.0), SC_(1.0000000000000000034694469521659226) }}, {{ SC_(59.0), SC_(1.0000000000000000017347234760475766) }}, {{ SC_(60.0), SC_(1.0000000000000000008673617380119934) }},
+      {{ SC_(-61.0), SC_(-3.3066089876577576725680214670439210e34) }}, {{ SC_(-59.0), SC_(3.5666582095375556109684574608651829e32) }}, {{ SC_(-57.0), SC_(-4.1147288792557978697665486067619336e30) }}, {{ SC_(-55.0), SC_(5.0890659468662289689766332915911925e28) }}, {{ SC_(-53.0), SC_(-6.7645882379292820990945242301798478e26) }}, {{ SC_(-51.0), SC_(9.6899578874635940656497942894654088e24) }}, {{ SC_(-49.0), SC_(-1.5001733492153928733711440151515152e23) }}, {{ SC_(-47.0), SC_(2.5180471921451095697089023320225526e21) }}, {{ SC_(-45.0), SC_(-4.5979888343656503490437943262411348e19) }}, {{ SC_(-43.0), SC_(9.1677436031953307756992753623188406e17) }}, {{ SC_(-41.0), SC_(-2.0040310656516252738108421663238939e16) }}, {{ SC_(-39.0), SC_(4.8241448354850170371581670362158167e14) }}, {{ SC_(-37.0), SC_(-1.2850850499305083333333333333333333e13) }}, {{ SC_(-35.0), SC_(3.8087931125245368811553022079337869e11) }}, {{ SC_(-33.0), SC_(-1.2635724795916666666666666666666667e10) }}, {{ SC_(-31.0), SC_(4.7238486772162990196078431372549020e8) }}, {{ SC_(-29.0), SC_(-2.0052695796688078946143462272494531e7) }}, {{ SC_(-27.0), SC_(974936.82385057471264367816091954023) }}, {{ SC_(-25.0), SC_(-54827.583333333333333333333333333333) }}, {{ SC_(-23.0), SC_(3607.5105463980463980463980463980464) }}, {{ SC_(-21.0), SC_(-281.46014492753623188405797101449275) }}, {{ SC_(-19.0), SC_(26.456212121212121212121212121212121) }}, {{ SC_(-17.0), SC_(-3.0539543302701197438039543302701197) }}, {{ SC_(-15.0), SC_(0.44325980392156862745098039215686275) }}, {{ SC_(-13.0), SC_(-0.083333333333333333333333333333333333) }}, {{ SC_(-11.0), SC_(0.021092796092796092796092796092796093) }}, {{ SC_(-9.0), SC_(-0.0075757575757575757575757575757575758) }}, {{ SC_(-7.0), SC_(0.0041666666666666666666666666666666667) }}, {{ SC_(-5.0), SC_(-0.0039682539682539682539682539682539683) }}, {{ SC_(-3.0), SC_(0.0083333333333333333333333333333333333) }}, {{ SC_(-1.0), SC_(-0.083333333333333333333333333333333333) }}
+   } };
+   do_test_zeta<T>(integer_data, name, "Zeta: Integer arguments");
+}
+
+extern "C" double zetac(double);
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is either 5 or 10 epsilon 
+   // expressed as a percentage:
+   //
+   BOOST_MATH_STD_USING
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 5 : 10);
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0.125)), static_cast<T>(-0.63277562349869525529352526763564627152686379131122L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1023) / static_cast<T>(1024)), static_cast<T>(-1023.4228554489429786541032870895167448906103303056L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1025) / static_cast<T>(1024)), static_cast<T>(1024.5772867695045940578681624248887776501597556226L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0.5)), static_cast<T>(-1.46035450880958681288949915251529801246722933101258149054289L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1.125)), static_cast<T>(8.5862412945105752999607544082693023591996301183069L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(2)), static_cast<T>(1.6449340668482264364724151666460251892189499012068L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(3.5)), static_cast<T>(1.1267338673170566464278124918549842722219969574036L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(4)), static_cast<T>(1.08232323371113819151600369654116790277475095191872690768298L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(4 + static_cast<T>(1) / 1024), static_cast<T>(1.08225596856391369799036835439238249195298434901488518878804L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(4.5)), static_cast<T>(1.05470751076145426402296728896028011727249383295625173068468L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(6.5)), static_cast<T>(1.01200589988852479610078491680478352908773213619144808841031L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(7.5)), static_cast<T>(1.00582672753652280770224164440459408011782510096320822989663L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(8.125)), static_cast<T>(1.0037305205308161603183307711439385250181080293472L), 2 * tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(16.125)), static_cast<T>(1.0000140128224754088474783648500235958510030511915L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0)), static_cast<T>(-0.5L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-0.125)), static_cast<T>(-0.39906966894504503550986928301421235400280637468895L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-1)), static_cast<T>(-0.083333333333333333333333333333333333333333333333333L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-2)), static_cast<T>(0L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-2.5)), static_cast<T>(0.0085169287778503305423585670283444869362759902200745L), tolerance * 3);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-3)), static_cast<T>(0.0083333333333333333333333333333333333333333333333333L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-4)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-20)), static_cast<T>(0), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-21)), static_cast<T>(-281.46014492753623188405797101449275362318840579710L), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-30.125)), static_cast<T>(2.2762941726834511267740045451463455513839970804578e7L), tolerance * 100);
+   // Very small values:
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -20)), static_cast<T>(-0.500000876368989859479646132126454890645615288202492097957612L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -21)), static_cast<T>(-0.500000438184266833093492063649184012943132422189989164545507L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -22)), static_cast<T>(-0.500000219092076392425852854644256723571669269957526445270374L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -23)), static_cast<T>(-0.500000109546023940187789325464529558825433290921168958481804L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -24)), static_cast<T>(-0.500000054773008406088246161057525197302821575823476487961574L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -25)), static_cast<T>(-0.500000027386503312042790426817221131071450407798601059264341L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -26)), static_cast<T>(-0.500000013693251433271071983943082871935521396740331377486886L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -27)), static_cast<T>(-0.500000006846625660947956426350389518286874288247134329498289L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -28)), static_cast<T>(-0.500000003423312816552083476988056486473169377162409806781384L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -29)), static_cast<T>(-0.500000001711656404795568073849512135664960180586820144333542L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -30)), static_cast<T>(-0.500000000855828201527665623188910582717329375986726355164261L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -31)), static_cast<T>(-0.500000000427914100546303208463654361814800355929815322493143L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -32)), static_cast<T>(-0.500000000213957050218769203487022003676593508474107873788445L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -33)), static_cast<T>(-0.500000000106978525095789001562046589421133388262409441738089L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -34)), static_cast<T>(-0.500000000053489262544495600736249301842352101231724731340202L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -20)), static_cast<T>(-0.499999123632834911086872289657767335473025908373776645822722L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -21)), static_cast<T>(-0.499999561816189359548137231641582253243376087534976981434190L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -22)), static_cast<T>(-0.499999780908037655734554449793729262345041281451929584703788L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -23)), static_cast<T>(-0.499999890454004571852312499433422838864632848598847415933664L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -24)), static_cast<T>(-0.499999945226998721921779295091241395945379526155584220813497L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-0.499999972613498469959715937215237923104705216198368099221577L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -26)), static_cast<T>(-0.499999986306749012229554607064736104475024094525587925697276L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-0.499999993153374450427200221401546739119918746163907954406855L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -28)), static_cast<T>(-0.499999996576687211291705684949926422460038672790251466963619L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-0.499999998288343602165379216634983519354686193860717726606017L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -30)), static_cast<T>(-0.499999999144171800212571199432213326524228740247618955829902L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -31)), static_cast<T>(-0.499999999572085899888755997191626615213504580792674808876724L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -32)), static_cast<T>(-0.499999999786042949889995597926798240562852438685508646794693L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -33)), static_cast<T>(-0.499999999893021474931402198791408471637626205588681812641711L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -34)), static_cast<T>(-0.499999999946510737462302199352114463422268928922372277519378L), tolerance);
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127 4756)
+#endif
+   //
+   // Very large negative values need special handling in our code, test them here, due to a bug report by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-200)), static_cast<T>(0));
+   if(std::numeric_limits<T>::max_exponent >= 1024)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-171)), static_cast<T>(1.28194898634822427378088228065956967928127061276520385040051e172L), tolerance * 200);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-171.5)), static_cast<T>(4.73930233055054501360661283732419615206017226423071857829425e172L), tolerance * 1000);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-172.5)), static_cast<T>(-1.30113885243175165293156588942160456456090687128236657847674e174L), tolerance * 100);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-173)), static_cast<T>(-9.66241211085609184243169684777934860657838245104636064505158e174L), tolerance * 100);
+   }
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-10007)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-10009)), -std::numeric_limits<T>::infinity());
+   }
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_zeta_hooks.hpp b/src/boost/libs/math/test/test_zeta_hooks.hpp
new file mode 100644
index 00000000..087d87d3
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta_hooks.hpp
@@ -0,0 +1,56 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double zetac(double);
+   float zetacf(float);
+   long double zetacl(long double);
+}
+inline float zeta(float a)
+{ return 1 + zetac(a); }
+inline double zeta(double a)
+{ return 1 + zetac(a); }
+inline long double zeta(long double a)
+{
+#ifdef BOOST_MSVC
+   return 1 + zetac((double)a); 
+#else
+   return zetacl(a); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_zeta.h>
+
+namespace other{
+inline float zeta(float a)
+{ return (float)gsl_sf_zeta(a); }
+inline double zeta(double a)
+{ return gsl_sf_zeta(a); }
+inline long double zeta(long double a)
+{ return gsl_sf_zeta(a); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept zeta(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp
new file mode 100644
index 00000000..09448f23
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp
@@ -0,0 +1,567 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 560> tgamma_delta_ratio_data = { {
+      {{ SC_(0.2585242462158203125e2), SC_(0.5408298164866209845058619976043701171875e-7), SC_(0.9999998251530248995276873521622051469349e0), SC_(0.1000000174847005556584935896873247717521e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.676797071719192899763584136962890625e-7), SC_(0.999999781195646858662207729479648955493e0), SC_(0.1000000218804400836041852388787649318772e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.227188110102360951714217662811279296875e-6), SC_(0.9999992655149263979633607427932657111612e0), SC_(0.1000000734485611035140775476483228633931e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.43750014810939319431781768798828125e-6), SC_(0.9999985855896265447456778263434928930538e0), SC_(0.1000001414412366465930704463900488591982e1) }}, 
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+      {{ SC_(0.7978768157958984375e2), SC_(0.187765863302047364413738250732421875e-5), SC_(0.9999917888646153646385473895051318817785e0), SC_(0.1000008211202763467564175791309789645476e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.364947482012212276458740234375e-5), SC_(0.9999840406475987418277657778679586330276e0), SC_(0.1000015959606938272699677270433799775095e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.465787525172345340251922607421875e-5), SC_(0.9999796309024037139607471319233544748587e0), SC_(0.1000020369512231238338548852679424154525e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.12453912859200499951839447021484375e-4), SC_(0.9999455394076805203274716454750204183081e0), SC_(0.1000054463556480884385055403110422734809e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.199610440176911652088165283203125e-4), SC_(0.9999127123771704234818306897170832376159e0), SC_(0.1000087295237598131386825924086076636255e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.33494274248369038105010986328125e-4), SC_(0.9998535372638011826062417689875164311734e0), SC_(0.100014648417652299301561171051674700624e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.944348503253422677516937255859375e-4), SC_(0.999587113161598233468454734084678305589e0), SC_(0.1000413057271838561947236206167671415781e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.1560666714794933795928955078125e-3), SC_(0.9993177391847333530108166399937846934428e0), SC_(0.1000682726305481164972102002211593624753e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2901323023252189159393310546875e-3), SC_(0.9987320295266112808968321744348581125643e0), SC_(0.100126957920068045138514617691027204372e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.755313201807439327239990234375e-3), SC_(0.996702393329728451276260054525472578427e0), SC_(0.1003308509638527465188853170750534124253e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.19461731426417827606201171875e-2), SC_(0.9915253014075514648177162925683418590611e0), SC_(0.1008547084790305965144114625881233228855e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.38232556544244289398193359375e-2), SC_(0.9834194646621488038141741559240478803343e0), SC_(0.1016859897102447874057820269275378350685e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.779867731034755706787109375e-2), SC_(0.96647031314981521958706391422552055032e0), SC_(0.1034692136253289961682530203701497931086e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.15350691974163055419921875e-1), SC_(0.9350722926704194403056098755684301267726e0), SC_(0.1069432851206020276222977029635706852091e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.307452343404293060302734375e-1), SC_(0.8741899273929740118512348989798936860313e0), SC_(0.1143902539794300345755398855610730787373e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.36175407469272613525390625e-1), SC_(0.853673444028947574453146920519234106748e0), SC_(0.1171388781196630028604025966953752030829e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.10786493122577667236328125e0), SC_(0.6238930467503061165450147922993730709957e0), SC_(0.1602603644554494464631490632648253985713e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2463240921497344970703125e0), SC_(0.3404185101843088803843854355525436974705e0), SC_(0.2935313484497773990220628475801307630996e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.49527740478515625e0), SC_(0.1144707397438024439442613742493198994445e0), SC_(0.870887189584181010190648970619663964418e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.97858345508575439453125e0), SC_(0.137674647370524488408642123698494921405e-1), SC_(0.7176300487625859938764819984066740114382e2) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.110986173152923583984375e1), SC_(0.7740752638659382404316274553019359244794e-2), SC_(0.1271948689069195209595747138373138092093e3) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2970751285552978515625e1), SC_(0.2157992909774354428566814255364545463342e-5), SC_(0.4145708927186640053679609302173996067288e6) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.7192423343658447265625e1), SC_(0.1594087689108406351642321400531650818267e-13), SC_(0.3263982781831842992979765044201168559318e14) }}
+   } };
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp
new file mode 100644
index 00000000..aa41bfc3
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp
@@ -0,0 +1,352 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 344> tgamma_delta_ratio_int = { {
+      {{ SC_(0.24302618503570556640625e1), SC_(0.1e1), SC_(0.4114782939349022594054088894256271572472e0), SC_(0.14302618503570556640625e1) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.1e1), SC_(0.3315146506841289877594755891064182591548e-1), SC_(0.291645793914794921875e2) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.3e1), SC_(0.3307223761155750711531487469609546246538e-4), SC_(0.2231320586281996185139958610577082254167e5) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.5e1), SC_(0.2918858268609190809990278724248604514024e-7), SC_(0.1469147518070480379794665014907786525186e8) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.7e1), SC_(0.2295219166275465213873613192776013762556e-10), SC_(0.8223734198694550134689130502530947232135e10) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.9e1), SC_(0.1618208430275734434924519990812495766662e-13), SC_(0.3857786609269072710128224389442555988969e13) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.11e2), SC_(0.1028721387871736550385318599923041671733e-16), SC_(0.1490824979713097171415993481052223628558e16) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.13e2), SC_(0.5926882460007524968122855042901912157197e-20), SC_(0.4648203922170334340207682876080006032116e18) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.15e2), SC_(0.3109028494792192917110790291054315941926e-23), SC_(0.1139409800082989383839979690424223084142e21) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.17e2), SC_(0.1491138039359247528148047903357857018565e-26), SC_(0.2124665771291534304735753615395767158197e23) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.19e2), SC_(0.6564083719175744994115607229861959803378e-30), SC_(0.2885559839005887499381495946913235780383e25) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.1e1), SC_(0.2954326409431340851983450434701073702185e-1), SC_(0.32848663330078125e2) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.3e1), SC_(0.2364827053120534463560561879334289442712e-4), SC_(0.3227344028825395710668999527115374803543e5) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.5e1), SC_(0.1695614414470450244250500226271753919667e-7), SC_(0.2779046705870235738963729137775015086257e8) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.7e1), SC_(0.1095310525613279305495592465256381394661e-10), SC_(0.2077891515483201757744317351815521823156e11) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.9e1), SC_(0.6407340740919580652793383140467826508761e-14), SC_(0.1334639554269227650049353460252698351418e14) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.11e2), SC_(0.3410234021200152276254976943763997265065e-17), SC_(0.7272585453555431260958160354377596176673e16) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.13e2), SC_(0.1658471451363357954157478377453720607441e-20), SC_(0.3312774860859689395345508883625889572398e19) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.15e2), SC_(0.7398454132291610784864741044066350592108e-24), SC_(0.123937789059580278543168468020516206455e22) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.17e2), SC_(0.3038328895194104537239753148827028386063e-27), SC_(0.3727133034351634026738359532400494439921e24) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.19e2), SC_(0.1152438286925339630084625472113528311441e-30), SC_(0.8771116810258575546832070468458856366617e26) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.1e1), SC_(0.2887928831167915505519744344972123660605e-1), SC_(0.3362689208984375e2) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.3e1), SC_(0.2213137918593517448219688061454782526597e-4), SC_(0.3469915936700885481513978447765111923218e5) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.5e1), SC_(0.1522721097426024895896792330316918422863e-7), SC_(0.3148531028341027662367459391135879115051e8) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.7e1), SC_(0.9458379866953813757703618778885035880068e-11), SC_(0.2490085216056195944036457961808452623757e11) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.9e1), SC_(0.5330391348709183914871234647798016253296e-14), SC_(0.1699145729193855721519591364984158133864e14) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.11e2), SC_(0.2737840710883982300048275891615376700953e-17), SC_(0.9886597038736954287739003770107517853574e16) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.13e2), SC_(0.1286917838872088415509337429304986457503e-20), SC_(0.4837999869770538119582666222954992161451e19) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.15e2), SC_(0.5556765445986870190361609497371887346956e-24), SC_(0.195862450405695992267877670894152909715e22) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.17e2), SC_(0.2211687277609313503714629255037786857888e-27), SC_(0.643083442616985917719955843589721349925e24) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.19e2), SC_(0.8140292584590354784620261881745875674798e-31), SC_(0.1670902155865215796953312290630024870723e27) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.1e1), SC_(0.2566138433684874120271097708825946441219e-1), SC_(0.37969058990478515625e2) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.3e1), SC_(0.1567112478553435406702123549078289771168e-4), SC_(0.504890624506973244356999863668988837162e5) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.5e1), SC_(0.8689906310391695151299331020686331039092e-8), SC_(0.5997424205505611045426742533651556939386e8) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.7e1), SC_(0.4394951869162062144764399567493282296601e-11), SC_(0.6321223889260369330291849413168960841557e11) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.9e1), SC_(0.2035525982765477083776753980340839550068e-14), SC_(0.5866813580649745354849775687876536135352e14) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.11e2), SC_(0.8665501322102869433082774775249219150551e-18), SC_(0.475351131137151882575690233470282894011e17) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.13e2), SC_(0.3402404204209133714893020990890855167026e-21), SC_(0.332917433408466146766602692025570579486e20) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.15e2), SC_(0.1236000924581999848584000411105138094148e-24), SC_(0.199246039489905250504763182886478199254e23) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.17e2), SC_(0.4166349010445106129065594246766652774957e-28), SC_(0.1005412674170810825848072062572878094182e26) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.19e2), SC_(0.1306678052162296296302493472338051227226e-31), SC_(0.4209988378715069570506244784182271066633e28) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.1e1), SC_(0.2409195867098306907239470727577262147923e-1), SC_(0.40507625579833984375e2) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.3e1), SC_(0.1302686404207614714166737816227289198388e-4), SC_(0.6162606769838344661754936382180858345237e5) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.5e1), SC_(0.6431633349331497141015690712861511428175e-8), SC_(0.8438545889861793470458005660841864423808e8) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.7e1), SC_(0.2910943566542678829029393631028762223452e-11), SC_(0.1033961398568079581975133990707297357778e12) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.9e1), SC_(0.1212136898003702865187467684297844048505e-14), SC_(0.1126245913457844277854195511466495940505e15) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.11e2), SC_(0.4659326979515309613033501220500527426672e-18), SC_(0.1082573300089022204314702243358580760484e18) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.13e2), SC_(0.1658384118269441042099831807050083163649e-21), SC_(0.91065236945021286603137668511485592393e20) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.15e2), SC_(0.5481194532589979478160202963103776716729e-25), SC_(0.6640129568173827446546480656426857387714e23) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.17e2), SC_(0.1686718935768932765905700917212028498685e-28), SC_(0.4150953075743104724995577406049683820437e26) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.19e2), SC_(0.4844596658382802531655518188204297321602e-32), SC_(0.2196272737681924152751776983696792699708e29) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.1e1), SC_(0.2302873188856175403626965536052891307432e-1), SC_(0.42424015045166015625e2) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.3e1), SC_(0.1141212965168497956273138117867728882609e-4), SC_(0.7104007410816445601492441497271101980004e5) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.5e1), SC_(0.5183530746499905821724585148177857891242e-8), SC_(0.1076135606728602311731733060546098971879e9) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.7e1), SC_(0.2165842442020049314291887953595061977946e-11), SC_(0.1466915836463339236767082142468157916416e12) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.9e1), SC_(0.8352634046179587916965001059409801159114e-15), SC_(0.1788811192909514734098773167283202538717e15) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.11e2), SC_(0.298233654616673156227132531689098798769e-18), SC_(0.1938607613675135351748920729783474442776e18) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.13e2), SC_(0.9887080919142083101358820841666548050753e-22), SC_(0.185339554706118008924758289308683203201e21) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.15e2), SC_(0.3051480135720957858617678876687093192759e-25), SC_(0.155008485690420948357495306520727205633e24) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.17e2), SC_(0.8789358031687555830222445881321568310609e-29), SC_(0.1123273000311193530381181760232005030144e27) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.19e2), SC_(0.236815091235828679607489497499356592008e-32), SC_(0.6975036999910042353046954606166180204346e29) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.1e1), SC_(0.2077865419406304236580399656817393498934e-1), SC_(0.47126312255859375e2) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.3e1), SC_(0.8437960653693735957134561491100566346538e-5), SC_(0.9809390766368974126976354455109685659409e5) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.5e1), SC_(0.3166183100205642887826645435303326518589e-8), SC_(0.1866732086273901183859566573335806986036e9) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.7e1), SC_(0.1101077573857436603217685657647966596415e-11), SC_(0.3234113100569470581250886609733700766947e12) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.9e1), SC_(0.3558708932056748207836379171964544718017e-15), SC_(0.5077540178064275443217905666528310416763e15) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.11e2), SC_(0.1071725362180794722991303758934862096345e-18), SC_(0.7187204167983311927130207619426523150668e18) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.13e2), SC_(0.3014658675524784930232885637612008898403e-22), SC_(0.9120447991959640899074143906493307877248e21) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.15e2), SC_(0.7938425564547933194404486603257095922217e-26), SC_(0.1031047379391541256772257192115735567411e25) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.17e2), SC_(0.1961045599357850472573774141844422974584e-29), SC_(0.1031020187481179725740755298399728721963e28) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.19e2), SC_(0.4553621212485033764098492374866479408138e-33), SC_(0.9046876114723798858579300473216770030017e30) }}, 
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+      {{ SC_(0.28788824462890625e3), SC_(0.1e1), SC_(0.3473570104569640055962131640759410960191e-2), SC_(0.28688824462890625e3) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.3e1), SC_(0.4147778860826452996008042939379237489236e-7), SC_(0.2336595739914530255396130087319761514664e8) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.5e1), SC_(0.4885092799811013921823782549177388581846e-12), SC_(0.1876488429114554752620527238325746098634e13) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.7e1), SC_(0.5675297891024780138525697551464866109164e-17), SC_(0.1485786541228514073866161629333886138035e18) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.9e1), SC_(0.6504343827584720578007790628197932503555e-22), SC_(0.115976844211059217259122774325677854357e23) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.11e2), SC_(0.7354567247175934183847257682176508160719e-27), SC_(0.8923720939211117300320489938065609307863e27) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.13e2), SC_(0.8205193867978273440011202644178884562983e-32), SC_(0.6767610329032719369025509390108872609635e32) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.15e2), SC_(0.9033112602451792738749403271987921872272e-37), SC_(0.5058171670631253364671295649996237533421e37) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.1e1), SC_(0.3454211406635041713966881609665888745256e-2), SC_(0.288501678466796875e3) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.3e1), SC_(0.407905168480763018987021853172545228673e-7), SC_(0.2376380058306495433427585339813958853483e8) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.5e1), SC_(0.4751385373606723027962691314425005391974e-12), SC_(0.1930231496923894088462545699714651073089e13) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.7e1), SC_(0.5459747147595941934931644310213716724959e-17), SC_(0.154591661548185942785563127012845776958e18) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.9e1), SC_(0.6189505505380654067781824225524105132565e-22), SC_(0.1220681936608413875283547987492080381155e23) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.11e2), SC_(0.6923248423462699258122608833489787193542e-27), SC_(0.9501994073223823891184486514363262976698e27) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.13e2), SC_(0.7641406071861718441256397914223803198376e-32), SC_(0.7290849633976240067942394862692220173534e32) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.15e2), SC_(0.8323086212678717271324694441691502737994e-37), SC_(0.551375411474552213507390248281996458309e37) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.1e1), SC_(0.3444228421043890893385637226929434835625e-2), SC_(0.289340789794921875e3) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.3e1), SC_(0.404390772308938863697334002937411013455e-7), SC_(0.2397248344799799768131265409465413540602e8) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.5e1), SC_(0.4683584166674361180389483263241938077867e-12), SC_(0.1958664738832016351565037051374224319343e13) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.7e1), SC_(0.5351351314668937271340160893033367766944e-17), SC_(0.1578004983694902935556729547125288747567e18) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.9e1), SC_(0.6032486205167581064858567225995659032751e-22), SC_(0.1253472175648567782767177252957740552768e23) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.11e2), SC_(0.6709901097200500439708799760438557985054e-27), SC_(0.9816018026087682770199262928304104956695e27) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.13e2), SC_(0.7364808408015348014875920182650010471344e-32), SC_(0.757750009443894137565133378045564307973e32) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.15e2), SC_(0.7977567303667583794462380205536503660325e-37), SC_(0.5765560036226951637956770556326362477979e37) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.1e1), SC_(0.3440073454302810870077806885983947303719e-2), SC_(0.28969146728515625e3) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.3e1), SC_(0.4029340128900865341649997325071470796219e-7), SC_(0.2406005592837546327814379765186458826065e8) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.5e1), SC_(0.4655593347102129154770919320328943988628e-12), SC_(0.197064624191144911113364924372333547971e13) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.7e1), SC_(0.5306781300850624992667955983404647577365e-17), SC_(0.1591583373838064839072653291218129731538e18) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.9e1), SC_(0.5968181020379241221614164786831856442513e-22), SC_(0.1267406078595540656088386383125599592152e23) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.11e2), SC_(0.6622874185773110848120483926856882408505e-27), SC_(0.9950025958171749642234595698560649206203e27) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.13e2), SC_(0.7252425880730941952837038289017818623456e-32), SC_(0.7700349214883739827198954590726953390616e32) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.15e2), SC_(0.7837732137791901630412251772353086649926e-37), SC_(0.5873940084556647854075928357945884520601e37) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.1e1), SC_(0.3433980498788601758552647643188802171892e-2), SC_(0.290207244873046875e3) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.3e1), SC_(0.4008040930623875410783774854230681603441e-7), SC_(0.2418924493681085849559053713164757937193e8) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.5e1), SC_(0.4614788198337042276507609088027282453366e-12), SC_(0.1988375146420684092396039255743712842102e13) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.7e1), SC_(0.5241996237359538672911416208963837661703e-17), SC_(0.1611736435885476675751117506657723086633e18) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.9e1), SC_(0.5874980228979750505195933021348442376062e-22), SC_(0.1288150308509289144242116755013782892893e23) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.11e2), SC_(0.6497104124488598123554519089149390087186e-27), SC_(0.1015014875890825032948492161856198979056e28) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.13e2), SC_(0.7090475834671838093657350842661830590173e-32), SC_(0.7884379604158280127712554109520427430725e32) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.15e2), SC_(0.7636792489590183720543570028907531957389e-37), SC_(0.6036805286139762775881723279121968447932e37) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.1e1), SC_(0.33972952685862159057449623236968809744e-2), SC_(0.293351806640625e3) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.3e1), SC_(0.3881379282177214776636623282889873598749e-7), SC_(0.2498689343664573460409883409738540649414e8) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.5e1), SC_(0.4375088373240974671031998487110516857923e-12), SC_(0.2099244362868845821585772253776470963604e13) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.7e1), SC_(0.4866029054251045038186644286072296391012e-17), SC_(0.1739400555379920223170681407628313381261e18) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.9e1), SC_(0.534057883457178772917208250643286627359e-22), SC_(0.1421281681033299298280403078077015645206e23) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.11e2), SC_(0.5784500466126953910491646789719517325936e-27), SC_(0.1145149364382182705993366363639828841506e28) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.13e2), SC_(0.6183650292423694233820451668640331858573e-32), SC_(0.9097088412307421913798995051293929461461e32) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.15e2), SC_(0.6524731626576039436199662440884420606257e-37), SC_(0.7124547053047129902329409548948893697576e37) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.1e1), SC_(0.3357152092472492109647570746796270004039e-2), SC_(0.29687152099609375e3) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.3e1), SC_(0.3745857576153496103596756759785568454842e-7), SC_(0.2590028433522621662064011616166681051254e8) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.5e1), SC_(0.4124278994306611649605113542682886173912e-12), SC_(0.2229149394453432862981100413241140703895e13) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.7e1), SC_(0.4481254385408609056603897429430645730762e-17), SC_(0.1892483485866810077637251708385021969851e18) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.9e1), SC_(0.4805556612415073905868174503601992803965e-22), SC_(0.1584682915857995126890517336563712708005e23) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.11e2), SC_(0.5086482969169712932808559443461158258716e-27), SC_(0.1308665081238300833231561815310422586917e28) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.13e2), SC_(0.5314446802305598153808326995941985254172e-32), SC_(0.1065733067256237279284265031964211394528e33) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.15e2), SC_(0.5481525108002032281510522944958079149289e-37), SC_(0.8557747958232836453478265781438336038069e37) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.1e1), SC_(0.3345131332236732968010854526498232035615e-2), SC_(0.297941925048828125e3) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.3e1), SC_(0.3705896653431679485941827175484149138275e-7), SC_(0.2618241086285098069268428844225127249956e8) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.5e1), SC_(0.4051450186662736366284562621407566077077e-12), SC_(0.2269904983065584876428858402786024561227e13) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.7e1), SC_(0.4371220920128659338444328164220492742505e-17), SC_(0.1941268809835496579746004922828460068201e18) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.9e1), SC_(0.4654869913634073404921977229252675829028e-22), SC_(0.1637581799972646839641245577548494961723e23) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.11e2), SC_(0.489284975257170578658380454302158217284e-27), SC_(0.1362443397656620723242541241397155077558e28) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.13e2), SC_(0.5076942804322773765508159231416954589399e-32), SC_(0.111786745604799935748770629080275328159e33) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.15e2), SC_(0.5200735573667448543558639259673314877186e-37), SC_(0.9044325612703634083164448623285298649691e37) }}
+   } };
+
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp
new file mode 100644
index 00000000..d28534b1
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp
@@ -0,0 +1,197 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 190> tgamma_delta_ratio_int2 = { {
+      {{ SC_(0.11e2), SC_(0.1e2), SC_(0.1491552059147518383844493235618106619139e-11), SC_(0.36288e7) }}, 
+      {{ SC_(0.12e2), SC_(0.1e2), SC_(0.7812891738391762962994964567523415624059e-12), SC_(0.399168e8) }}, 
+      {{ SC_(0.12e2), SC_(0.11e2), SC_(0.3551314426541710437724983894328825283663e-13), SC_(0.399168e8) }}, 
+      {{ SC_(0.13e2), SC_(0.1e2), SC_(0.4261577311850052525269980673194590340396e-12), SC_(0.2395008e9) }}, 
+      {{ SC_(0.13e2), SC_(0.11e2), SC_(0.1852859700804370663160861162258517539303e-13), SC_(0.4790016e9) }}, 
+      {{ SC_(0.13e2), SC_(0.12e2), SC_(0.7720248753351544429836921509410489747094e-15), SC_(0.4790016e9) }}, 
+      {{ SC_(0.14e2), SC_(0.1e2), SC_(0.2408717611045681862109119510936072801093e-12), SC_(0.10378368e10) }}, 
+      {{ SC_(0.14e2), SC_(0.11e2), SC_(0.1003632337935700775878799796223363667122e-13), SC_(0.31135104e10) }}, 
+      {{ SC_(0.14e2), SC_(0.12e2), SC_(0.4014529351742803103515199184893454668489e-15), SC_(0.62270208e10) }}, 
+      {{ SC_(0.14e2), SC_(0.13e2), SC_(0.1544049750670308885967384301882097949419e-16), SC_(0.62270208e10) }}, 
+      {{ SC_(0.15e2), SC_(0.1e2), SC_(0.1405085273109981086230319714712709133971e-12), SC_(0.36324288e10) }}, 
+      {{ SC_(0.15e2), SC_(0.11e2), SC_(0.5620341092439924344921278858850836535885e-14), SC_(0.145297152e11) }}, 
+      {{ SC_(0.15e2), SC_(0.12e2), SC_(0.2161669650938432440354338022634937129186e-15), SC_(0.435891456e11) }}, 
+      {{ SC_(0.15e2), SC_(0.13e2), SC_(0.8006183892364564593904955639388656034024e-17), SC_(0.871782912e11) }}, 
+      {{ SC_(0.15e2), SC_(0.14e2), SC_(0.2859351390130201640680341299781662869294e-18), SC_(0.871782912e11) }}, 
+      {{ SC_(0.16e2), SC_(0.1e2), SC_(0.8430511638659886517381918288276254803827e-13), SC_(0.108972864e11) }}, 
+      {{ SC_(0.16e2), SC_(0.11e2), SC_(0.324250447640764866053150703395240569378e-14), SC_(0.54486432e11) }}, 
+      {{ SC_(0.16e2), SC_(0.12e2), SC_(0.1200927583854684689085743345908298405104e-15), SC_(0.217945728e12) }}, 
+      {{ SC_(0.16e2), SC_(0.13e2), SC_(0.4289027085195302461020511949672494303941e-17), SC_(0.653837184e12) }}, 
+      {{ SC_(0.16e2), SC_(0.14e2), SC_(0.1478974856963897400351900672300860104807e-18), SC_(0.1307674368e13) }}, 
+      {{ SC_(0.16e2), SC_(0.15e2), SC_(0.4929916189879658001173002241002867016024e-20), SC_(0.1307674368e13) }}, 
+      {{ SC_(0.17e2), SC_(0.1e2), SC_(0.5188007162252237856850411254323849110047e-13), SC_(0.290594304e11) }}, 
+      {{ SC_(0.17e2), SC_(0.11e2), SC_(0.1921484134167495502537189353453277448166e-14), SC_(0.1743565824e12) }}, 
+      {{ SC_(0.17e2), SC_(0.12e2), SC_(0.6862443336312483937632819119475990886306e-16), SC_(0.871782912e12) }}, 
+      {{ SC_(0.17e2), SC_(0.13e2), SC_(0.2366359771142235840563041075681376167692e-17), SC_(0.3487131648e13) }}, 
+      {{ SC_(0.17e2), SC_(0.14e2), SC_(0.7887865903807452801876803585604587225639e-19), SC_(0.10461394944e14) }}, 
+      {{ SC_(0.17e2), SC_(0.15e2), SC_(0.254447287219595251673445276954986684698e-20), SC_(0.20922789888e14) }}, 
+      {{ SC_(0.17e2), SC_(0.16e2), SC_(0.7951477725612351614795164904843333896814e-22), SC_(0.20922789888e14) }}, 
+      {{ SC_(0.18e2), SC_(0.1e2), SC_(0.3266523028084742354313221900870571661882e-13), SC_(0.705729024e11) }}, 
+      {{ SC_(0.18e2), SC_(0.11e2), SC_(0.1166615367173122269397579250310918450672e-14), SC_(0.4940103168e12) }}, 
+      {{ SC_(0.18e2), SC_(0.12e2), SC_(0.4022811610941800928957169828658339485076e-16), SC_(0.29640619008e13) }}, 
+      {{ SC_(0.18e2), SC_(0.13e2), SC_(0.1340937203647266976319056609552779828359e-17), SC_(0.14820309504e14) }}, 
+      {{ SC_(0.18e2), SC_(0.14e2), SC_(0.4325603882733119278448569708234773639867e-19), SC_(0.59281238016e14) }}, 
+      {{ SC_(0.18e2), SC_(0.15e2), SC_(0.1351751213354099774515178033823366762458e-20), SC_(0.177843714048e15) }}, 
+      {{ SC_(0.18e2), SC_(0.16e2), SC_(0.4096215798042726589439933435828384128662e-22), SC_(0.355687428096e15) }}, 
+      {{ SC_(0.18e2), SC_(0.17e2), SC_(0.1204769352365507820423509834067171802548e-23), SC_(0.355687428096e15) }}, 
+      {{ SC_(0.19e2), SC_(0.1e2), SC_(0.209990766091162008491564265055965321121e-13), SC_(0.1587890304e12) }}, 
+      {{ SC_(0.19e2), SC_(0.11e2), SC_(0.7241060899695241672122905691585011073137e-15), SC_(0.12703122432e13) }}, 
+      {{ SC_(0.19e2), SC_(0.12e2), SC_(0.2413686966565080557374301897195003691046e-16), SC_(0.88921857024e13) }}, 
+      {{ SC_(0.19e2), SC_(0.13e2), SC_(0.778608698891961470120742547482259255176e-18), SC_(0.533531142144e14) }}, 
+      {{ SC_(0.19e2), SC_(0.14e2), SC_(0.2433152184037379594127320460882060172425e-19), SC_(0.266765571072e15) }}, 
+      {{ SC_(0.19e2), SC_(0.15e2), SC_(0.7373188436476907860991880184491091431591e-21), SC_(0.1067062284288e16) }}, 
+      {{ SC_(0.19e2), SC_(0.16e2), SC_(0.2168584834257914076762317701320909244586e-22), SC_(0.3201186852864e16) }}, 
+      {{ SC_(0.19e2), SC_(0.17e2), SC_(0.6195956669308325933606622003774026413102e-24), SC_(0.6402373705728e16) }}, 
+      {{ SC_(0.19e2), SC_(0.18e2), SC_(0.1721099074807868314890728334381674003639e-25), SC_(0.6402373705728e16) }}, 
+      {{ SC_(0.2e2), SC_(0.1e2), SC_(0.1375801570942095917703352081401152103896e-13), SC_(0.3352212864e12) }}, 
+      {{ SC_(0.2e2), SC_(0.11e2), SC_(0.4586005236473653059011173604670507012987e-15), SC_(0.30169915776e13) }}, 
+      {{ SC_(0.2e2), SC_(0.12e2), SC_(0.1479356527894726793229410840216292584834e-16), SC_(0.241359326208e14) }}, 
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+      {{ SC_(0.29e2), SC_(0.15e2), SC_(0.50465450144923633985761344615369076563e-23), SC_(0.4896215291455488e20) }}, 
+      {{ SC_(0.29e2), SC_(0.16e2), SC_(0.114694204874826440876730328671293355825e-24), SC_(0.63650798788921344e21) }}, 
+      {{ SC_(0.29e2), SC_(0.17e2), SC_(0.2548760108329476463927340637139852351666e-26), SC_(0.763809585467056128e22) }}, 
+      {{ SC_(0.29e2), SC_(0.18e2), SC_(0.5540782844194514052015957906825765981884e-28), SC_(0.8401905440137617408e23) }}, 
+      {{ SC_(0.29e2), SC_(0.19e2), SC_(0.1178889966849896606811905937622503400401e-29), SC_(0.8401905440137617408e24) }}, 
+      {{ SC_(0.29e2), SC_(0.2e2), SC_(0.2456020764270617930858137370046882084168e-31), SC_(0.75617148961238556672e25) }}, 
+      {{ SC_(0.29e2), SC_(0.21e2), SC_(0.5012287274021669246649259938871187926874e-33), SC_(0.604937191689908453376e26) }}, 
+      {{ SC_(0.29e2), SC_(0.22e2), SC_(0.1002457454804333849329851987774237585375e-34), SC_(0.4234560341829359173632e27) }}, 
+      {{ SC_(0.29e2), SC_(0.23e2), SC_(0.1965602852557517351627160760341642324264e-36), SC_(0.25407362050976155041792e28) }}, 
+      {{ SC_(0.29e2), SC_(0.24e2), SC_(0.3780005485687533368513770692964696777431e-38), SC_(0.12703681025488077520896e29) }}, 
+      {{ SC_(0.29e2), SC_(0.25e2), SC_(0.7132085822051949751912774892386220334776e-40), SC_(0.50814724101952310083584e29) }}, 
+      {{ SC_(0.29e2), SC_(0.26e2), SC_(0.1320756633713324028131995350441892654588e-41), SC_(0.152444172305856930250752e30) }}, 
+      {{ SC_(0.29e2), SC_(0.27e2), SC_(0.2401375697660589142058173364439804826524e-43), SC_(0.304888344611713860501504e30) }}, 
+      {{ SC_(0.29e2), SC_(0.28e2), SC_(0.4288170888679623467961023865071080047364e-45), SC_(0.304888344611713860501504e30) }}
+   } };
diff --git a/src/boost/libs/math/test/tgamma_mp_data.hpp b/src/boost/libs/math/test/tgamma_mp_data.hpp
new file mode 100644
index 00000000..390286f6
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_mp_data.hpp
@@ -0,0 +1,417 @@
+static const boost::array<boost::array<T, 3>, 198> factorials = {
+   SC_(1), SC_(1), SC_(0),
+   SC_(2), SC_(1), SC_(0),
+   SC_(3), SC_(2), SC_(0.69314718055994530941723212145817656807550013436025525412068000949339362196969471560586332699641868754200148102),
+   SC_(4), SC_(6), SC_(1.7917594692280550008124773583807022727229906921830047058553743431308879151883036824794790818101507763299715101),
+   SC_(5), SC_(24), SC_(3.1780538303479456196469416012970554088739909609035152140967343621176751591276931136912057358029881514139744721),
+   SC_(6), SC_(120), SC_(4.7874917427820459942477009345232430483995923151720329360093822535918541468353508783213396138961677622139407751),
+   SC_(7), SC_(720), SC_(6.5792512120101009950601782929039453211225830073550376418647565967227420620236545608008186957063185385439122852),
+   SC_(8), SC_(5040), SC_(8.5251613610654143001655310363471250507596677369368988303241467466603219247757238285884771942941900655369739794),
+   SC_(9), SC_(40320), SC_(10.604602902745250228417227400721654754986168140017664592686186775140502790684807975406067175283446128162978423),
+   SC_(10), SC_(362880), SC_(12.801827480081469611207717874566706164281149255663163496155575442415491377122025909153298684910910305738918481),
+   SC_(11), SC_(3628800), SC_(15.104412573075515295225709329251070371882250744291936472188903343383063986799378389389295890000508604080886265),
+   SC_(12), SC_(39916800), SC_(17.502307845873885839287652907216199671703957598229353647407471052513637610712615102464350598003143395495601991),
+   SC_(13), SC_(479001600), SC_(19.987214495661886149517362387055078512502448424772613607383525405137919147870613500549693006809712859367574982),
+   SC_(14), SC_(6227020800), SC_(22.552163853123422885570849828620397117307716369532820723802570915801383815195023679949267670250202348136833174),
+   SC_(15), SC_(87178291200), SC_(25.191221182738681500093434693521753415020301233474937166382641075232357299916787663342789495834492562671896349),
+   SC_(16), SC_(1307674368000), SC_(27.899271383840891566089439263670466759193393145566204340029983300344030580843054394846539128741404262259832681),
+   SC_(17), SC_(20922789888000), SC_(30.671860106080672803758367749503173031495393683007225356512703338317605068721833257269992436727079012427838605),
+   SC_(18), SC_(355687428096000), SC_(33.505073450136888884007902367376299567083596695592970143809941076199897644522764538182087304764581959946186867),
+   SC_(19), SC_(6402373705728000), SC_(36.395445208033053576215624962679527544454077945598724301400009752968279852929677187535182141388464825064128406),
+   SC_(20), SC_(121645100408832000), SC_(39.33988418719949403622465239456738108169145720689785311993796998937757255499387447624934052520420472086116904),
+   SC_(21), SC_(2432902008176640000), SC_(42.335616460753485029659875970709921857368058829886881350091977899838538786640921672091201057290221706745138305),
+   SC_(22), SC_(51090942171709440000), SC_(45.380138898476908026160473951075627291652634117291491990286062383413612942611599906752475310691825322526170028),
+   SC_(23), SC_(1124000727777607680000), SC_(48.471181351835223879639649650498933159549841105589164419625310102037580188494531335433393345690878801482887235),
+   SC_(24), SC_(25852016738884976640000), SC_(51.606675567764373570446402482309129277992221420429600161623945479520573434479329633631794437843873615837084448),
+   SC_(25), SC_(620448401733239439360000), SC_(54.784729398112319190093344083606184686866212381333115375720679841638248593607022747323000173646861767251058921),
+   SC_(26), SC_(15511210043330985984000000), SC_(58.003605222980519939294862750058559965917415089870150819545975624586606569022338276583267929833220988850991527),
+   SC_(27), SC_(403291461126605635584000000), SC_(61.2617017610020019847655823130820551387981831689906131900857011447434648583164431715887059202701291651622512),
+   SC_(28), SC_(10888869450418352160768000000), SC_(64.557538627006331058951318023849632252740654842458861545289784145655947737972270072209553184711325431526161287),
+   SC_(29), SC_(304888344611713860501504000000), SC_(67.889743137181534982891135010209165118528739840761233241990534314580314844663728771208938337292034333603225943),
+   SC_(30), SC_(8841761993739701954543616000000), SC_(71.257038967168009010074407042571076724023252754683977320912204666223095625801581104502305452109890756249225528),
+   SC_(31), SC_(265252859812191058636308480000000), SC_(74.658236348830164385487643734177966636271844801135499748680226900828162528697542551611918412013221143379163341),
+   SC_(32), SC_(8222838654177922817725562880000000), SC_(78.092223553315310631416808058720323846721783731616091720436944973303143945295093783825783243349307773952140278),
+   SC_(33), SC_(263130836933693530167218012160000000), SC_(81.557959456115037178502968666011206687099284403417367991040345020770112055143567361855099878331401211662147683),
+   SC_(34), SC_(8683317618811886495518194401280000000), SC_(85.054467017581517413960157480898861691568481815177534617993607063538179972275413041803770341147768091864833438),
+   SC_(35), SC_(295232799039604140847618609643520000000), SC_(88.580827542197678803626924220230164795232184962123534659411524810913866170046039038321728536181689726925183181),
+   SC_(36), SC_(10333147966386144929666651337523200000000), SC_(92.136175603687092483333036296899532164394871045973913569783562852325625020505766070739520912862740864718211178),
+   SC_(37), SC_(371993326789901217467999448150835200000000), SC_(95.719694542143202484957991013660936709840852430339922981494311538587400850882373435698479076483042417378154198),
+   SC_(38), SC_(13763753091226345046315979581580902400000000), SC_(99.330612454787426929326086684692383873740930017507559145139224219780390597872734501097500610155211078159963151),
+   SC_(39), SC_(523022617466601111760007224100074291200000000), SC_(102.96819861451381269875234623803841397905380941316694321779786446568307692190662650541752232096736966149900526),
+   SC_(40), SC_(20397882081197443358640281739902897356800000000), SC_(106.63176026064345912620107891652625828850656791574989978595160430998403588244964565169071273922159123905623349),
+   SC_(41), SC_(815915283247897734345611269596115894272000000000), SC_(110.32063971475739542905353461412697563225866967309918327022629222993839573606638756313843659830402691248220423),
+   SC_(42), SC_(33452526613163807108170062053440751665152000000000), SC_(114.03421178146170323292029798716438322063508014249848490384555514019837435247204506910075373967601372352019472),
+   SC_(43), SC_(1405006117752879898543142606244511569936384000000000), SC_(117.77188139974507153883812808898826522299515556426335079816031963326684213041241801936789132007403602684322793),
+   SC_(44), SC_(60415263063373835637355132068513997507264512000000000), SC_(121.53308151543863396231097060233411225855429174914490621335200489818970130428540445790548331815803331374073361),
+   SC_(45), SC_(2658271574788448768043625811014615890319638528000000000), SC_(125.31727114935689512520737842321559469452699887180283389681193262630706217213803060219226468015350548023945229),
+   SC_(46), SC_(119622220865480194561963161495657715064383733760000000000), SC_(129.12393363912721488259862823028683374334758134171685052219396918505622974628290630056963006787414926861535866),
+   SC_(47), SC_(5502622159812088949850305428800254892961651752960000000000), SC_(132.95257503561630988282261318355520642986546179091754151831328457203261661423739931437389448702356277051155735),
+   SC_(48), SC_(258623241511168180642964355153611979969197632389120000000000), SC_(136.80272263732636846964356385332738013876151229293776555151379291883943482774320038698458424045830875146800892),
+   SC_(49), SC_(12413915592536072670862289047373375038521486354677760000000000), SC_(140.67392364823425939870773757608261211571100338820153601973120729045050360884058821628165330325771559042398488),
+   SC_(50), SC_(608281864034267560872252163321295376887552831379210240000000000), SC_(144.56574394634488600891844306296897157498517284736525839664998759032566333434472675185697030043345864441010827),
+   SC_(51), SC_(30414093201713378043612608166064768844377641568960512000000000000), SC_(148.47776695177303206753719385087952342211187569026254909459596338276741493172973699672310138361623655355204235),
+   SC_(52), SC_(1551118753287382280224243016469303211063259720016986112000000000000), SC_(152.40959258449735783918197370567517566234756926067104333362789545428720180074927724450881200646747158985836064),
+   SC_(53), SC_(80658175170943878571660636856403766975289505440883277824000000000000), SC_(156.3608363030787851940699253901568474033038374741517609582883009839374537120130768551201133239007984537116218),
+   SC_(54), SC_(4274883284060025564298013753389399649690343788366813724672000000000000), SC_(160.33112821663090702821439452918590517366381522706297856133643045395545834595656671365477326838671968355373562),
+   SC_(55), SC_(230843697339241380472092742683027581083278564571807941132288000000000000), SC_(164.32011226319518141181736236141165885568178703489148217066119346436133484758208832988148385982433463745964719),
+   SC_(56), SC_(12696403353658275925965100847566516959580321051449436762275840000000000000), SC_(168.32744544842765233048006527260297579502909524309741706779240906496608745920298280758667244592014903967432922),
+   SC_(57), SC_(710998587804863451854045647463724949736497978881168458687447040000000000000), SC_(172.35279713916280156383711438042068522889268037576004401861383924338384818786413622219192092549727662929339535),
+   SC_(58), SC_(40526919504877216755680601905432322134980384796226602145184481280000000000000), SC_(176.39584840699735171524138704923106447077755019488192228888649381343063518314694247777969506412674861387840601),
+   SC_(59), SC_(2350561331282878571829474910515074683828862318181142924420699914240000000000000), SC_(180.45629141754377105184189120305115264434756324316492162192884417456680958625448952667892550594102372406640708),
+   SC_(60), SC_(138683118545689835737939019720389406345902876772687432540821294940160000000000000), SC_(184.53382886144949050245794157677085026841091003249537615144088087162600970051991700403826546574365749307685096),
+   SC_(61), SC_(8320987112741390144276341183223364380754172606361245952449277696409600000000000000), SC_(188.62817342367159118728841038983591674873500221330715383332958311572447022538557316675374175264340656774879025),
+   SC_(62), SC_(507580213877224798800856812176625227226004528988036003099405939480985600000000000000), SC_(192.73904728784490243603979949326153149505068395638841489626696676214391003223052189793917095874351034077226315),
+   SC_(63), SC_(31469973260387937525653122354950764088012280797258232192163168247821107200000000000000), SC_(196.86618167288999399138619593926206527357612302122926212214436484411228507079776784575889911707601565888724156),
+   SC_(64), SC_(1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000), SC_(201.00931639928152667928203915655029641250818886645662221407314366132485351998705504729378912529135136345624332),
+   SC_(65), SC_(126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000), SC_(205.1681994826411985357854318852993558209611896726181537387972237182852152518052233409289690872698634887082522),
+   SC_(66), SC_(8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000), SC_(209.3425867525368356464396786600908620652920589716468785771289171204228589068372912849586776288035325882774767),
+   SC_(67), SC_(544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000), SC_(213.53224149456326119131409959643669363783675651776730045820285917268432044593883168051321141861631815602216393),
+   SC_(68), SC_(36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000), SC_(217.73693411395422725098417159280041638840368942098919579534064330345958895146691857715212560643734364055612613),
+   SC_(69), SC_(2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000), SC_(221.95644181913033395006817045358989606014289270229545109087924106032866877120723928927594712846768396315847735),
+   SC_(70), SC_(171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000), SC_(226.19054832372759333227016852232261788323276357495863628461257077144915631041064655434796397543441086630064459),
+   SC_(71), SC_(11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000), SC_(230.43904356577695232139351272045016182047094979316927044910528882235430878284006830237161967911188069163567407),
+   SC_(72), SC_(850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000), SC_(234.70172344281826774272296725296319591723052631987983655722671462438166028966429866833786300338451582517662042),
+   SC_(73), SC_(61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000), SC_(238.97838956183432305376515409118277703075200783860610122305814332013682974201060074890268449400123606537856492),
+   SC_(74), SC_(4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000), SC_(243.26884900298271418285726294862131960165676068347769888765384217729861971793119804217901381683609495963259635),
+   SC_(75), SC_(330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000), SC_(247.57291409618688393664259074111094333363233840500559030541943486798500308689125382318389867750468230795640678),
+   SC_(76), SC_(24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000), SC_(251.89040220972319437723935464448584431733103167136537520097942498457085535552517831931778218850477361834430941),
+   SC_(77), SC_(1.885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224e+111), SC_(256.22113555000952545608284631929005099071941120138501452775874523996693530152876503924366722631335088922535301),
+   SC_(78), SC_(1.45183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248e+113), SC_(260.56494097186320930525014264069836002017820278490429289143670309903508878819407102010638043290385720763313043),
+   SC_(79), SC_(1.1324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344e+115), SC_(264.92164979855280104211610744064438089770646142184750471371112295282944137070678488198543417815449747273236013),
+   SC_(80), SC_(8.94618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176e+116), SC_(269.29109765101982253628905298212579181988000264627011433912329407038924743183121716013137454392857707937066295),
+   SC_(81), SC_(7.156945704626380229481153372318653216558465734236575257710944505822703925548014884266894486728081408e+118), SC_(273.67312428569370414855874080118468573170760453797965307751866199983700090741765378718496173000743144033863518),
+   SC_(82), SC_(5.79712602074736798587973423157810910541235724473162595874586504971639017969389205625618453424974594048e+120), SC_(278.06757344036614291413972174887478855029756676927065088445743933438697808029208965467942474926235979549051529),
+   SC_(83), SC_(4.7536433370128417484213820698940494664381329406799332861716093407674399473489914861300713180847916711936e+122), SC_(282.47429268763039602742371724337037270674947737303020777219738225414035031866744187624760521763076529407050726),
+   SC_(84), SC_(3.945523969720658651189747118012061057143650340764344627522435752836975156299662933487959194010377087090688e+124), SC_(286.89313329542699395089918946666174315977879042969344414238532571707892930855643248208603251460133872829846),
+   SC_(85), SC_(3.31424013456535326699938757913013128800066628624204948711884603238305913129171686412988572296871675315617792e+126), SC_(291.32395009427030756623425168994380173021436598581856529082077021964079070846650014795903342199577971916349469),
+   SC_(86), SC_(2.817104114380550276949479442260611594800566343305742064051019127525600261597959334510402864523409240182751232e+128), SC_(295.76660135076062402108454564104311590532817035267282780003065584899726227197508919350126216812646227748180925),
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+   SC_(93), SC_(1.2438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107487e+142), SC_(327.18528770377521720079313221640554824848949364998856073630783874890588474089124634473199822667108904153172227),
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+   SC_(40.5), SC_(128605024825499153583871394876198775276315329502.23399448614903407061315994486117124488190747754153046903215811), SC_(108.47307506906538405319835014608011400923257152251770526339478054616318429871810201546927060712765437834731737),
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+   SC_(45.5), SC_(17782763615206233014239784940198999344529807230439791963.489194374328707187438700946006866186192821533213803654), SC_(127.21782467361173420691526947082430514513481436440337857389104918810947288227756150292911945608280954278671516),
+   SC_(46.5), SC_(809115744491883602147910214779054470176106228985010534338.75834403195617702846089304331241147177337976122806627), SC_(131.03553699956863893865687753437462691150166690438519162464880483921712379038434623451048929111475187100703357),
+   SC_(47.5), SC_(37623882118872587499877824987226032863188939647802989846752.262997485962231823431526514027133437462158897105082), SC_(134.87498931216194956656405497438133325852359625832827779401953723583620587823081171799210655026815190282597905),
+   SC_(48.5), SC_(1787134400646447906244196686893236561001474633270642017720732.4923805832060116129975094162888382794525476124914), SC_(138.73571902320254509175660961803719786721107673953566908034946535422628394603297205573053548518065272188098451),
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+   SC_(50.5), SC_(4290462912351959810915755196058937673824290225824493824043048531.0826851318323799037707311554284993957036806887), SC_(146.51925549072062722189130104863498715398567934305685600677229608040523620422222439668337779385218886571458801),
+   SC_(51.5), SC_(216668377073773970451245637400976352528126656404136938114173950819.67559915753518514042192334913921948303587478), SC_(150.4412288270019413633582671940897997428010617958942055025828814326138544658548735525821945735977269360210477),
+   SC_(52.5), SC_(11158421419299359478239150326150282155198522804813052312879958467213.293356613062034731729052480669803376347551), SC_(154.38281063467163182470963738768506399535382276990475341107343238215099204833297310656807722165341715406317983),
+   SC_(53.5), SC_(585817124513216372607555392122889813147922447252685246426197819528697.90122218575682341577525523516467725824643), SC_(158.34362380426920988639376257981878050108849927721762651905948474770685157004161439025362202615178169310217637),
+   SC_(54.5), SC_(31341216161457075934504213478574605003413850928018660683801583344785337.715386937990052743976155081310233316184), SC_(162.32330545817117075028092927538388093457614541898877881849892145746017531760191233120507740265697365547119116),
+   SC_(55.5), SC_(1708096280799410638430479634582315972686054875577017007267186292290800905.488588120457874546700451931407715732), SC_(166.32150615984036914124101360613490601756099416813175471745311500264768497982738059734322034762200774042718254),
+   SC_(56.5), SC_(94799343584367290432891619719318536484076045594524443903328839222139450254.616640685412037341875082193128223128), SC_(170.33788918059275796758712239263070231803306217876188507871204200798477539806665591400999430911148980245496004),
+   SC_(57.5), SC_(5356162912516751909458376514141497311350296576090631080538079416050878939385.8401987257801098159421439117446067), SC_(174.37212981874515322675202176478854742198689243310462361933171003383495568165601126924032108461494319287562168),
+   SC_(58.5), SC_(307979367469713234793856649563136095402642053125211287130939566422925539014685.81142673235631441667327492531489), SC_(178.42391476654845798274230180836675461187937396785332182912231329329873429337877261646299272786469893048778372),
+   SC_(59.5), SC_(18016792996978224235440613999443461581054560107824860297159964635741144032359119.968463842844393375386583130921), SC_(182.49294152078626879216904760231894805790412289389877259489006746174379392517070601400393557393623390929098049),
+   SC_(60.5), SC_(1071999183320204342008716532966885964072746326415579187681017895826598069925367638.1235986492414058355016962898), SC_(186.57891783333785286810670284217707775505391050170612331652601534007027274175401184709782561356518969626038896),
+   SC_(61.5), SC_(64855950590872362691527350244496600826401152748142540854701582697509183230484742106.477718279105053047852625532), SC_(190.68156119837464864681335787664915978662182407522070241284247074883802636761079055764207170257404059154781894),
+   SC_(62.5), SC_(3988640961338650305528932040036540950823670894010766262564147335896814768674811639548.3796741649607624429364702), SC_(194.80059837318712083265813436515091651157022496808249824407574798324210565526536231487214127176334080383177797),
+   SC_(63.5), SC_(249290060083665644095558252502283809426479430875672891410259208493550923042175727471773.72963531004765268352939), SC_(198.9357649299294766470431802433713028620715288965277961556930116481712489964186408931566795790464609486896754),
+   SC_(64.5), SC_(15829918815312768400067949033895021898581443860605228604551459739340483613178158694457631.831842188025945404116), SC_(203.08680483582812261067338892962941868886993788609362666447959684653504063618552155529671137165254559527012397),
+   SC_(65.5), SC_(1021029763587673561804382712686228912458503129009037244993569153187461193049991235792517253.1538211276734785655), SC_(207.2534700596298494161242445584396148610010644944376762772852964356020004813074222451020557975538562834135982),
+   SC_(66.5), SC_(66877449514992618298187067680947993766031954950091939547078779533778708144774425944409880081.57528386261284604), SC_(211.43552020227105565085643644815096418603347436471800199512161188121614319947433697344350573132141276354024193),
+   SC_(67.5), SC_(4447350392747009116829440000783041585441125004181113979880738838996284091627499325303257025424.7563768637542617), SC_(215.63272214993286410655358450202382088483243822123873674799828225806962214232090881433945928672860549878834278),
+   SC_(68.5), SC_(300196151510423115385987200052855307017275937782225193641949871632249176184856204457969849216171.05543830341266), SC_(219.84484974781134824592284742455940907022501111461524757099433314096289038771469876398457710226656268841021769),
+   SC_(69.5), SC_(20563436378463983403940123203620588530683401738082425764473566206809068568662650005370934671307717.297523783767), SC_(224.07168349307952785182080543108109789271264615429955763192392717249964214460788839512371322000656690972870255),
+   SC_(70.5), SC_(1429158828303246846573838562651630902882496420796728590630912851373230265522054175373279959655886352.1779029718), SC_(228.31301024565027429959235822849846510707974268029445629347732566784950338815827880054483195431835852093151265),
+   SC_(71.5), SC_(100755697395378902683455618666939978653215997666169365639479356021812733719304819363816237155739987828.54215951), SC_(232.56862295546849726839132201373498795254778360577717452429184833880042227291299412442327413557041790313393277),
+   SC_(72.5), SC_(7204032363769591541867076734686208473704943833131109643222773955559610460930294584512860956635409129740.7644053), SC_(236.83832040516845923908952091180725928909925827011454356180878154910106694218094630129204018001712349577590521),
+   SC_(73.5), SC_(522292346373295386785363063264750114343608427902005449133651111778071758417446357377182419356067161906205.41938), SC_(241.12190696702908833145632015593718196604387240394555010852241978272463308905676168360967784593174084167986961),
+   SC_(74.5), SC_(38388487458437210928724185149959133404255219450797400511323356715688274243682307267222907822670936400106098.325), SC_(245.41919237324787932364503875828789056189003228657176668305521440674389348580981447045274727092479729691196155),
+   SC_(75.5), SC_(2859942315653572214189951793671955438617013849084406338093590075318776431154331891408106632788984761807904325.2), SC_(249.72999149863339315522023491193383448167061692340447857672407449375747169812791781111275143962959290222039703),
+   SC_(76.5), SC_(2.1592564483184470217134136042223263561558454560587267852606605068656762055215205780131205077556834951649677655e+110), SC_(254.05412415488837217459923908996013420385285318162401319788608852473651793897154945257028320795873840597621994),
+   SC_(77.5), SC_(1.6518311829636119716107614072300796624592217738849259907244052877522422972239632421800371884330978738012003406e+112), SC_(258.39141489572086232822203206022013558066053717549500163453203492040040547924000395162374625862728684352850678),
+   SC_(78.5), SC_(1.280169166796799277998340090603311738405896874760817642811414098007987780348571512689528821035650852195930264e+114), SC_(262.74169283208016363933472359653050386256057732588385607408072087485617226157551823286188164106013439735944854),
+   SC_(79.5), SC_(1.0049327959354874332286969711235997146486290466872418496069600669362704075736286374612801245129859189738052572e+116), SC_(267.10479145686852638734193671147580254322732082238725117588822686309450418800594513507752807659094400582867122),
+   SC_(80.5), SC_(7.9892157276871250941681409204326177314566009211635727043753325321433497402103476678171769898782380558417517949e+117), SC_(271.48054847852881260346441896596920945015928899876096297655037065725660949319834924487994044889417863691675359),
+   SC_(81.5), SC_(6.4313186607881357008053534409482572738225637415366760270221426883753965408693298725928274768519816349526101949e+119), SC_(275.86880566295333028995929241976440873016325390882300465288771617518378897996552209526013671263862629072201102),
+   SC_(82.5), SC_(5.2415247085423305961563630543728296781653894493523909620230462910259481808085038461631543936343650324863773089e+121), SC_(280.26940868320014731460699266442698203871964079719296793469286173499967111079349880691287016537937361497556242),
+   SC_(83.5), SC_(4.3242578845474227418289995198575844844864462957157225436690131900964072491670156730846023747483511518012612798e+123), SC_(284.682206976540782615247708691082648114638939428861397029438091659748524393663307535885811179292501418436213),
+   SC_(84.5), SC_(3.6107553335970979894272145990810830445461826569226283239636260137305000530544580870256429829148732117540531686e+125), SC_(289.10705360839759241309022734636925091236076189711213337517709639704948836617314376848780201510190498881332539),
+   SC_(85.5), SC_(3.0510882568895478010659963362235151726415243450996209337492639816022725448310170835366683205630678639321749275e+127), SC_(293.5438051427607205757799701080417115538957976522722923538945074088830240788522694116810880149864652788098403),
+   SC_(86.5), SC_(2.608680459640563369911426867471105472608503315060175898355620704269943025830519606423851414081423023662009563e+129), SC_(297.99232151870343510916225589231643993235265789485666482178117630307391174538398991853661458143325066464081951),
+   SC_(87.5), SC_(2.256508597589087314973384240362506233806355367527052152077611909193500717343399459556631473180430915467638272e+131), SC_(302.45246593264126874667852415929925483346301066821048385407743103970638435351361815495531586043755604177405005),
+   SC_(88.5), SC_(1.974445022890451400601711210317192954580560946586170633067910420544313127675474527112052539032877051034183488e+133), SC_(306.92410472600483749156816344773663327407579797196912523224143696309892856971130823639737878821536810282504286),
+   SC_(89.5), SC_(1.7473838452580494895325144211307157648037964377287610102651007221817171179927949564941664970440961901652523869e+135), SC_(311.40710727801872132416222693692068003471113518476207395936748798430222935522564996502447117583531527308145529),
+   SC_(90.5), SC_(1.5639085415059542931316004069119906094993978117672411041872651463526368206035514860622790148544660901979008863e+137), SC_(315.90134590329953101092279924548390564223856846858296625777328597413442813460285776012923528619664640063105954),
+   SC_(91.5), SC_(1.4153372300628886352840983682553515015969550196493531992894749574491363226462140948863625084432918116291003021e+139), SC_(320.40669575400541144834465416265873800140340077572518981723533406865135034989138112174804319537395034840295962),
+   SC_(92.5), SC_(1.2950335655075431012849500069536466239612138429791581773498695860659597352212858968210216952256120076406267764e+141), SC_(324.92303472628688707907405638154870188429107294226894507778673203921489082798524410420122482929136752267240106),
+   SC_(93.5), SC_(1.1979060480944773686885787564321231271641228047557213140486293671110127550796894545594450680836911070675797682e+143), SC_(329.45024337080526658862567926434816011964125174934484370922361260238866594071356821862451691406029710671217484),
+   SC_(94.5), SC_(1.1200421549683363397238211372640351238984548224465994286354684582487969259995096400130811386582511851081870832e+145), SC_(333.98820480709990790351992533872823938697566148150775041761873803990813851845804149700580316310401615810323734),
+   SC_(95.5), SC_(1.0584398364450778410390109747145131920840398072120364600605176930451130950695366098123616760320473699272367937e+147), SC_(338.53680464159960497339378167148081966247971775019760470716153118126480763889624294980844559913666526391820764),
+   SC_(96.5), SC_(1.0108100438050493381922554808523600984402580158874948193577943968580830057914074623708054006106052382805111379e+149), SC_(343.095930889086289536826499502225010241012659092304896484521563059300107456132654601958350377038769758750347),
+   SC_(97.5), SC_(9.7543169227187261135552653902252749499484898533143250068027159296805010058870820118782721158923405494069324811e+150), SC_(347.66547389743122977926419843414989243712722645052362680457030358912339124368115189455827461325062570433884005),
+   SC_(98.5), SC_(9.5104589996507579607163837554696430761997776069814668816326480314384884807399049615813153129950320356717591691e+152), SC_(352.24532627543503127189645832440574781803008617301484584051601131540513556996213408985573558260160820515403309),
+   SC_(99.5), SC_(9.3678021146559965913056379991375984300567809428767448784081583109669111535288063871575955833001065551366827815e+154), SC_(356.83538282361307446925902353211040222496323010101263029219393567782724332404128833098562961026080141679994657),
+};
+
+static const boost::array<boost::array<T, 3>, 41> near_1 = {
+   SC_(0.5), SC_(1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236), SC_(0.57236494292470008707171367567652935582364740645765578575681153573606888494241303989181163513774485385100490611),
+   SC_(0.625), SC_(1.4345188480905567756360197394564231366322077722066673307706798580950941973020969146309569665256322935994654338), SC_(0.36082949548894018118495768582277948785736912020625817171534369271076040488490050699002363027633270505424458064),
+   SC_(0.75), SC_(1.2254167024651776451290983033628905268512392481080706112301189382898228884267983572371723762149150665821733802), SC_(0.20328095143129537148143297186242969975966731498257864807397605368487331819397460137048111735608518528622179233),
+   SC_(0.875), SC_(1.0896523574228969512523767551028929711478700677675651205137040432536264174658795033595896748361842446382310482), SC_(0.08585870722533432350236558376948770226971912568187111234881601023955661926262775458261489495159171414683063444),
+   SC_(0.875), SC_(1.0896523574228969512523767551028929711478700677675651205137040432536264174658795033595896748361842446382310482), SC_(0.08585870722533432350236558376948770226971912568187111234881601023955661926262775458261489495159171414683063444),
+   SC_(0.9375), SC_(1.0401770111867671714597628173619211286137015344920691109446597166008250518768858003488288550069774030008385474), SC_(0.039390901734582300658227546340953844503363526873275555924583248691684407795252299141939653430330091269382318677),
+   SC_(0.96875), SC_(1.0190325250566739505647300479281360248823250932111783847890502796409452098998953044939908318632260351379776713), SC_(0.018853672334412890535592065704800808901737541753307604147921982817646261473204084765390919252667197071285862424),
+   SC_(0.984375), SC_(1.0092639847156863031513642279872649395665289471965001383071292900827245419873658382338104686447297569473205469), SC_(0.00922133719757878104504544602785480541183714372596115164380073895348968088364637878818475160823616428061231308),
+   SC_(0.9921875), SC_(1.0045703009750313695418190819857497756177949566342185206412658643551771616307782112692210230847197631441840257), SC_(0.0045598888618045588650965994550424584438465646671569627037023442718896355703968374172722045521035725542428421793),
+   SC_(0.99609375), SC_(1.0022698948072663380705186466834088228749332164565353765602844596483728158852340436652910312111169316609714696), SC_(0.002267322487909119869224853055660925945502946111127310832108839278441229781909271272292321713240086669666673579),
+   SC_(0.998046875), SC_(1.0011311540702717194751486537016329361748548795865540183758175786053609255723291288804230660209514957067544756), SC_(0.0011305147975382617314468555514931106445911149072169391421772950013850819314728201357323200246446508198616715076),
+   SC_(0.9990234375), SC_(1.0005646312561051341795833347970072224691414951011585192257183425112236459173288788007843000527615619796876423), SC_(0.00056447191185512338425745752778379540322733814671115601515739643336237598766933267729753552357635796698514596983),
+   SC_(0.99951171875), SC_(1.0002820795014030603122660092346161054092748105743475941025912629061994674154769263987059870282205452011790797), SC_(0.00028203972446050202164990932586792182277028625000579467899259058286790920813945981070397067889871367271780753512),
+   SC_(0.999755859375), SC_(1.0001409807587291625276642931842015920091929545333196812761907195683656908667498991146653620951380087741337049), SC_(0.00014097082187592237051371524368529004109710102132559573440397063444509291284211693505849383520344943672815952199),
+   SC_(0.9998779296875), SC_(1.0000704756363281543589529190831324108350522109231500912943205227968503621121547410111499321275965652178864083), SC_(7.0473153037170086154990456617429606491291306351792371038014266565023997915969279947648648462158546701919903081e-05),
+   SC_(0.99993896484375), SC_(1.0000352341330242672078622365190637840639477682700164032264654052973959618643727802512909912536172530362395266), SC_(3.5233512316782239237891894216581425213234468976061384095946082343932672612109116593768365443514987235802189247e-05),
+   SC_(0.999969482421875), SC_(1.0000176161453045753153818203998783392498353944168731950825723484510408117073964447044091192763939536504419548), SC_(1.761599014210985977615986870219441253152302650866741955007594785183512559840534060419786772025834904844368172e-05),
+   SC_(0.9999847412109375), SC_(1.0000088078423600712432306459072726327005468658815965923272360897211863953044660937258887228363756570934413742), SC_(8.8078035712554869804636737104615719706676701895738198043786296563843343116436624246517174019991164055073256752e-06),
+   SC_(0.99999237060546875), SC_(1.0000044038636081905928511858888125298767090169025230723302909504779910697224206944418494971066153925981249059), SC_(4.4038539112117225162418369217896025239570399579722287850444858130021481865621717750113878487355145402430600115e-06),
+   SC_(0.999996185302734375), SC_(1.0000022019174112851692250057380852275017766147260950955247390757507613697962418975625931771397155345075852518), SC_(2.2019149870685847804328915717680872509667301348628950203352825315866810742426434243009968987918506631520331535e-06),
+   SC_(1), SC_(1), SC_(0),
+   SC_(1.000003814697265625), SC_(0.99999779811137403283143208760327600675756902143756596759838698221325215539409430568396858379750535139420226287), SC_(-2.2018910501274876377141818311089755229311746446021640254293045758059176229682918834288238505534445292777340924e-06),
+   SC_(1.00000762939453125), SC_(0.99999559625153308141476652368576165846163213500202659668397521943996956814485005524714716726321435556951990071), SC_(-4.4037581634473325702218400982291070742088066919117076633155854060759992379786313395823905915149428408829547678e-06),
+   SC_(1.0000152587890625), SC_(0.99999119261820501686706957175471991293910990979611602622805038287033968066042427663218511800321072127022156621), SC_(-8.8074205801979051940611576319016798990780755527146458978906571204868908384222945024215475751136282541034767583e-06),
+   SC_(1.000030517578125), SC_(0.99998238569695577840308912119540189506999309885932228281903127593682897986879129264261414709811177673988286746), SC_(-1.7614458177879180593389151228747594238394118848425722604531270820619091802647966796813580302792743080800024461e-05),
+   SC_(1.00006103515625), SC_(0.9999647732360171681023427372223702590453913910199390605542249806417221689763739196579994699370896803042256543), SC_(-3.5227384459853889912226246727720809494104943993200852437494031875415481631698870730758441698569691729723713575e-05),
+   SC_(1.0001220703125), SC_(0.99992955383983791386301091466222734539118060355467854238385118863460180336591770779111045679237945045786873776), SC_(-7.0448641609366567338214494075777693865307332448868837181756428608376087273339198390868816550906450304788582582e-05),
+   SC_(1.000244140625), SC_(0.99985913714594034205878980722394270651070266886680721525579148722985946512786872299585878169952950155084026009), SC_(-0.00014087277616326635097030584178411951846640279051937897896521676513490342036437475141116837467757236371463821202),
+   SC_(1.00048828125), SC_(0.99971839211735866523005832066420299515608817676196471144193889051244066546497815377121028399780635540938064397), SC_(-0.00028164754158680683182392054639170724065894038359476068703975750485180064764636731267884353254046569566588895557),
+   SC_(1.0009765625), SC_(0.99943725522028108434521359203118190516500797436636326722510244581259842767599446851324731597976259518948982942), SC_(-0.00056290317999120463170214992168514502772879541390257627479851327242521375496316078955498047974490391404458478547),
+   SC_(1.001953125), SC_(0.99887639185670229384018166594439725095095947312101240404656716276062253854369107023559370003430011705769110439), SC_(-0.0011242398641763655930882350026740454995347120448051246807766325452465319026604793370057190525283304374866233861),
+   SC_(1.00390625), SC_(0.99776028924350090452551500508904405795133755282195340238940486963282177163716541194432652172131971470978813773), SC_(-0.0022422226599611501447654819092305299298079260417770143567963238377892856797491379587790257042671743196875073852),
+   SC_(1.0078125), SC_(0.99555044071429420946514324392976594135804811283276950233333294520174555163201058126609151736557274229008810138), SC_(-0.0044594880379522990866700789223521091987576375799193257939241836415369699743362378844236187907877816282112942101),
+   SC_(1.015625), SC_(0.99121906984205173417648186621914503971475375794490339430947476500778081798552753056206174599314583780671923895), SC_(-0.0088197097057330692048892296986270663800008130918961793125380525215482778706344040845486366868779812028188116857),
+   SC_(1.03125), SC_(0.98290109928362691478263486825456935046998823743496277043928362292034206769975910596393892249337556712953037341), SC_(-0.017246775001768067402891262022246231797366446505106380535078130887485701437593237496879558493144914283530453506),
+   SC_(1.0625), SC_(0.96758006759952488475997629871543175166460210218111998646615104815739441126428563127884962077687042597437275844), SC_(-0.032957100293577819083198835750474183157056130167483637604037935415773601610870065861297777718490000655850137079),
+   SC_(1.125), SC_(0.94174269984970148808740373015189170307630244851863449262289098722208295714986330160419107835129460670740615211), SC_(-0.060023184126039582931405843207430114278219450946316157230075155800865906698601740995330664462916031985954246411),
+   SC_(1.125), SC_(0.94174269984970148808740373015189170307630244851863449262289098722208295714986330160419107835129460670740615211), SC_(-0.060023184126039582931405843207430114278219450946316157230075155800865906698601740995330664462916031985954246411),
+   SC_(1.25), SC_(0.90640247705547707798267128896691800074879192072001636685834449989247981088468228040459003418084607509036793785), SC_(-0.098271836421813161463853802696635840225622703607649957741372996452825981263690594995652837575223508897214201633),
+   SC_(1.375), SC_(0.88891356915622534074242756406624469120777530125959687041567260050243557425925067192449287563913055244069020048), SC_(-0.11775527074107877445136203331798850424653921590958917561520411328795258332429161436283053688418097696213797973),
+   SC_(1.5), SC_(0.88622692545275801364908374167057259139877472806119356410690389492645564229551609068747532836927233270811341181), SC_(-0.12078223763524522234551844578164721225185272790259946836386847375732473702728167571405169185867383369099657491),
+};
+
+static const boost::array<boost::array<T, 3>, 41> near_2 = {
+   SC_(1.5), SC_(0.88622692545275801364908374167057259139877472806119356410690389492645564229551609068747532836927233270811341181), SC_(-0.12078223763524522234551844578164721225185272790259946836386847375732473702728167571405169185867383369099657491),
+   SC_(1.625), SC_(0.89657428005659798477251233716026446039512985762916708173167491130943387331381057164434810407852018349966589612), SC_(-0.1091741337567953724659793453255625768435299286059898687340484442952414733165258751974324726197437467717935594),
+   SC_(1.75), SC_(0.91906252684888323384682372752216789513842943608105295842258920371736716632009876792787928216118629993663003518), SC_(-0.084401121020485555957786034131397731743842395915182408432689631664419632526805862967629781823020101009811140644),
+   SC_(1.875), SC_(0.95344581274503483234582966071503134975438630929661948044949103784692311528264456543964096548166121405845216713), SC_(-0.047672685399188299643978037161862272319696547817033461553833868303044383894387124447316587449792821486112114416),
+   SC_(1.875), SC_(0.95344581274503483234582966071503134975438630929661948044949103784692311528264456543964096548166121405845216713), SC_(-0.047672685399188299643978037161862272319696547817033461553833868303044383894387124447316587449792821486112114416),
+   SC_(1.9375), SC_(0.9751659479875942232435276412768010580753451885863147915106184843132734861345804378270270515690413153132861382), SC_(-0.025147619402988871014696369343039083625545098476478286910794564170216799157259831777764021648432959310687273318),
+   SC_(1.96875), SC_(0.98718775864865288960958223393038177410475243404832906026439245840216567209052357622855361836750022153991586909), SC_(-0.01289502598016741062140421704372482102582419956737669469875999217434043177771826105006088439333961006574460579),
+   SC_(1.984375), SC_(0.99349423495450370466462416192496392488580193239655482364608039492518197101881324701140718007215585449501866336), SC_(-0.0065270197705603875625040654329734641090978172082102811515005007943036017452347133121052021549402564023948207056),
+   SC_(1.9921875), SC_(0.99672209549866393696727362040773610549578093353551368844875597478990234005553775649368023384187038999462008798), SC_(-0.0032832885992213340080874430359011232107452519285440532337925143246804564808907940778759648203239061173174780116),
+   SC_(1.99609375), SC_(0.99835477803067545393743068321980175716057800857975203524559584847787135957318234818222348812044850614667079983), SC_(-0.0016465768332272092230929305879117388972032040939027611887512736747418892484504411587697933136947665600605804507),
+   SC_(1.998046875), SC_(0.9991758197849782200230487539873719343463883661498615300586773098971473300145706735505784897201293248167022208), SC_(-0.00082452003826508882618063669037370149307251988162149488885378333978767712311305925304980152039311581105853907029),
+   SC_(1.9990234375), SC_(0.99958751735839409400948608544661952010344897410984879410928697694236502907561273731758040913474128701681685356), SC_(-0.00041256773597148940171061762396967043263766321508278648166258325752450997988091121880044028815700667736697239274),
+   SC_(1.99951171875), SC_(0.99979366051727151584922291059729451551405543810824683844140835701610854970677796305573786887049192188809256652), SC_(-0.00020636077364837244333505423402898916069048973940689454315455907351479369424786720832798217923629191781310389304),
+   SC_(1.999755859375), SC_(0.99989680571459861341571906264387341779239383515965432002587914956847107033675313400257682074697025047121033239), SC_(-0.00010319961029799208618175017469614360196936704565252345328392393606626650213932477070288037281599692906336527261),
+   SC_(1.9998779296875), SC_(0.99994839672084520414479777346312714564818269771380888644919182156115738721443597212186634448939739571529633426), SC_(-5.1604610649812155427880333694545946032583928291310459746204246757312291926312160269132259332526873487515506522e-05),
+   SC_(1.99993896484375), SC_(0.9999741968262534527384281628962293685497837089579882039831044149772484157241222692173401067937018711238227639), SC_(-2.5803506654161686483250535590236551252779944206866471779380407628046074943126208389937084185400792859175711612e-05),
+   SC_(1.999969482421875), SC_(0.99998709802957748472165271328866008124387684231133068796602319768357099234668760081876750522856447385449314981), SC_(-1.2902053653651567952294533933096375210439735077108891847803568051352256875471682427281829037705917110753962528e-05),
+   SC_(1.9999847412109375), SC_(0.99999354891890056257515137297871569799850980919724170956673304961971970239682289813730037614565854931058777556), SC_(-6.4511019077505913999768740192962600117284299376931233759840535395258322495171008075393562455732103434271779936e-06),
+   SC_(1.99999237060546875), SC_(0.9999967744354781276641509840822795646932230190615127686569485868080197715727798678679478106327910318239504207), SC_(-3.2255697240167648011165810641817631895943837273553238407652697319745391186873682927024999574143933330895472859e-06),
+   SC_(1.999996185302734375), SC_(0.99999838721174601184126339217834043805312434049279307032066984380543456177710052395916314405417041535347717533), SC_(-1.6127895545325331730098184535055500629425336236844800875911774081883807398878631221152589710004973196673112522e-06),
+   SC_(2), SC_(1), SC_(0),
+   SC_(2.000003814697265625), SC_(1.0000016128002401193107443412962371398600117917051343176882902353374213648826021261731107498153573621415449226), SC_(1.6127989395584018429976031457249567704200403529787152140378258756848454641419753130324079036036484703727117411e-06),
+   SC_(2.00000762939453125), SC_(1.0000032256124663969442572979664904621852226931085253304073996272098932739673609259903665211081794374661535793), SC_(3.2256072641202395856634567509031717314101059280836768227158909313339479749111914772604792191845536704065057073e-06),
+   SC_(2.0000152587890625), SC_(1.000006451272877535864519325623917830418250216038636108564876372408652521536899197656914002663824783933815167), SC_(6.4512520681644922116961675029871399835844045626819177993485997811835355053462779555097865070545798819626865222e-06),
+   SC_(2.000030517578125), SC_(1.0000129027375349091336312076553993133407166704260599330351817590690292004797492025331366878130500736080695094), SC_(1.290265429530719797568036294024708700465577586146791905518758190381008775700560429617670389988551638710825012e-05),
+   SC_(2.00006103515625), SC_(1.0000258062421961242283255462273276791051475794593323673816513859750132897142264815427442208812997077505332853), SC_(2.5805909220784635000932542921243182948670906688837032708651521147551347202451406873759019347916128878550354773e-05),
+   SC_(2.0001220703125), SC_(1.0000516155529531284521055204867710743151785504056984006043570298441519256563676489175498013305621139650047081), SC_(5.1614220916310804284840873086425506800915170103272447074807387337444948198364058458841314609676466202956173574e-05),
+   SC_(2.000244140625), SC_(1.0001032433805951126501127539542219893980343833855735256110785456984214425363472065708089425349053632455548207), SC_(0.00010323805136409635819017324403933418099476148841019654151466840813072064903976559624757024778209256822407270965),
+   SC_(2.00048828125), SC_(1.0002065358635097192658151850785898130248167354420242645236976497363236931336622251353563827692896592938578806), SC_(0.00020651453791454435671312914625370260965873904340641431837448444290893250461685654148110548976824081184555996094),
+   SC_(2.0009765625), SC_(1.0004132681648321400916444646796498562442706774663304188532519599198372933280218068614047840617740820988545656), SC_(0.00041318279306425426425867498633204164488303891988195996296008500197515836906271837439664711441425330386370044763),
+   SC_(2.001953125), SC_(1.0008273223095474155078382707606949018317230658419518813982206142503893794392842168571475939796796094738194073), SC_(0.00082698026708538384658581452916749300081501348027476197514651933598645209011126954522998623663964384545076784737),
+   SC_(2.00390625), SC_(1.0016577903733583299338177980776731363027099651376641578674884824048249816826230893347340471967936198453732476), SC_(0.0016564177556961728691718611866123770809158280631257907208834264321979231840494137090508982490201065832908121409),
+   SC_(2.0078125), SC_(1.0033281785323746329765896755229672377749078637142755140703121088361341887541356639322328573449912793392294147), SC_(0.0033226524041026498607928211387846544793681646025987622876953484650611433293961582857408451320107812632540480799),
+   SC_(2.015625), SC_(1.0067068678083337925229893953788191809602967854127925098455603082110273932665513982270939607742887415224492271), SC_(0.0066844768302321849459648163438197694978676797752971342950752926557336453432652463099799428682789931143967973053),
+   SC_(2.03125), SC_(1.0136167586362402558695922078875246426721753698548053570155112361366027573153765780253120138212935536023281976), SC_(0.013524883664985620968136945574525932294330293453783975814783864413614105845778864422474269341128528209147896345),
+   SC_(2.0625), SC_(1.0280538218244951900574748173851462361436397335674399856202854886672315619683034832337777220754248275977710558), SC_(0.027667521522857023497407296289946080129146344977240133210479764492944486311282352627343782333338196694492200886),
+   SC_(2.125), SC_(1.0594605373309141740983291964208781659608402545834638042007523606248433267935962143047149631452064325458319211), SC_(0.057759851530343871607388266263091590790261261618416983877273482993941813829532045934310864175292082963981368659),
+   SC_(2.125), SC_(1.0594605373309141740983291964208781659608402545834638042007523606248433267935962143047149631452064325458319211), SC_(0.057759851530343871607388266263091590790261261618416983877273482993941813829532045934310864175292082963981368659),
+   SC_(2.25), SC_(1.1330030963193463474783391112086475009359899009000204585729306248655997636058528505057375427260575938629599223), SC_(0.12487171489239659430244128761319866314897838194035725592991487603456576250457773842275438652511872681874913935),
+   SC_(2.375), SC_(1.2222561575898098435208379005910864504106910392319456968215498256908489146064696738961777040038045096059490257), SC_(0.20069846037745584135888518027261109134866723494706223724132356736244017467986095189463419012919775182657330309),
+   SC_(2.5), SC_(1.3293403881791370204736256125058588870981620920917903461603558423896834634432741360312129925539084990621701177), SC_(0.28468287047291915963249466968270192432013769555989472925014585038677593422163257555370073595863956755497197314),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_0 = {
+   SC_(-0.5), SC_(-3.5449077018110320545963349666822903655950989122447742564276155797058225691820643627499013134770893308324536472), SC_(1.2655121234846453964889457971347059238991475408179110398774915452294625069121077554976749621341635413930063871),
+   SC_(-0.375), SC_(-3.8253835949081514016960526385504616976858873925511128820551462882535845261389251056825519107350194495985744901), SC_(1.3416587485006664180414088132747834874363789654642744823426893875534469775753756869339978564518566788922789946),
+   SC_(-0.25), SC_(-4.901666809860710580516393213451562107404956992432282444920475753159291553707193428948689504859660266328693521), SC_(1.5895753125511859903158972147787828359106675837030891563153360726716605621333640325822077713489225603702247544),
+   SC_(-0.125), SC_(-8.7172188593831756100190140408231437691829605421405209641096323460290113397270360268767173986894739571058483852), SC_(2.1653002489051702517540619481440174064962195287626368747108560387197374851717119014002048759408477767728350775),
+   SC_(-0.125), SC_(-8.7172188593831756100190140408231437691829605421405209641096323460290113397270360268767173986894739571058483852), SC_(2.1653002489051702517540619481440174064962195287626368747108560387197374851717119014002048759408477767728350775),
+   SC_(-0.0625), SC_(-16.642832178988274743356205077790738057819224551873105775114555465613200830030172805581261680111638448013416759), SC_(2.8119796239743635383271560321736601168053640643142965724073032866652588956740311615653929614160048414373882428),
+   SC_(-0.03125), SC_(-32.609040801813566418071361533700352796234402982757708313249608948510246716796649743807706619623233124415285482), SC_(3.4845895751341394376217526729956836492792382135545838747513220302846143713216776627947075542347606347812932675),
+   SC_(-0.015625), SC_(-64.592895021803923401687310591184956132257852620576008851656274565294370687191413646963869993262704444628515002), SC_(4.1681044205572506375484381747769142138648379498874926763678807959138514127018146724233647135867482895326211992),
+   SC_(-0.0078125), SC_(-128.58499852480401530135284249417597127907775444917997064208203063746267668873961104246029095484412968245555529), SC_(4.8565901527814217247857214496622784349723475051889437415484624107256449893582598466583154935270343853482532093),
+   SC_(-0.00390625), SC_(-256.58109307066018254605277355095265865598290341287305639943282166998344086661991517831450399004593450520869623), SC_(5.5474447669674715952070818247210734705495040209931693437975489152255902055394669961191989376845895870056785217),
+   SC_(-0.001953125), SC_(-512.57915088397912037127611069523606332152569834831565740841860024594479389303251398677660980272716580185829153), SC_(6.2394551398370460464865359486750822233240923241495142262282973804419276796587252605885022629924128386978750007),
+   SC_(-0.0009765625), SC_(-1024.5781824062516573998933348321353958084008909835863236871355827314930134193447718920031232540278394672001457), SC_(6.9320362775113082175565786721095494761582286817492636972219574913672985956846164887359308054877632333869999562),
+   SC_(-0.00048828125), SC_(-2048.5776988188734675195207869124937838781948120562638727221069064318965092668967452645498614337956765720147553), SC_(7.6249010258838589056112032453658101706532717642128135900064726950101977508747813314752005676395042766347340988),
+   SC_(-0.000244140625), SC_(-4096.5774571877546497133129448824897208696543417684774145072771873520258697902075867736693231416852839388516552), SC_(8.3179071375412196353772991727418041069470987133443886451825640845551685565491787042054184177922276999407459318),
+   SC_(-0.0001220703125), SC_(-8192.5773364128002405085423131290207095607477118824455478830737227517981664227716383633402439892710622649254566), SC_(9.0109838204323261925101725694129128145879930379896700959398781376806821096039472721561708996019050965927211732),
+   SC_(-6.103515625e-05), SC_(-16384.577276035469593933614883128341038103720235335948750462409200392535439185883631637151600699265073745748403), SC_(9.7040957613515511140804875923086885344822151155125496190736160789898546402483381275986803463153051405752565365),
+   SC_(-3.0517578125e-05), SC_(-32768.577245849340323934431490863213420538606204252100856465730714043705318027966700074078020448877073217681975), SC_(10.397225324389321751118257981741350715545033538430337479229750218348756164671019139428554102814000571479070659),
+   SC_(-1.52587890625e-05), SC_(-65536.577230756909628996363610179019256663039402416314274757744375967671602673489918419843339804715063275773901), SC_(11.090363696762696206162694407004535550779972817434273639750684530523954335849427093356237883660100999788429204),
+   SC_(-7.62939453125e-06), SC_(-131072.57722321085275738619063681843591600000426344750413647589546105124549065712526188209728475829273862142767), SC_(11.78350647337298147181546230662592344688602624116429729228034520587350457563299672747145157032696642372856542),
+   SC_(-3.814697265625e-06), SC_(-262144.57721943786393940131990420461387822572889075747272123720027360758852386603599464842582811358907795642824), SC_(12.47665145199400263809495861913874999344625338521472943706726050616361678213557912354896418693243516760668981),
+   SC_(3.814697265625e-06), SC_(262143.422788108034462562933172673185515456173555729293010111557065310773023629457669218260431013242835881758), SC_(12.476647048187965442022540472065347116383479487309949972008214741576509389536881912613656457111685822311497381),
+   SC_(7.62939453125e-06), SC_(131071.42279188094404719627779254015209788304719898563008056199996243569123588178644135407350752403201320811243), SC_(11.783497665760906812760375842948903428176428075317647408343896845802285497485572186668336976548526173271184294),
+   SC_(1.52587890625e-05), SC_(65535.422799426683985400271454517324214377507048398259894881509891790581311761565393366883893458417829165240563), SC_(11.090346081538544752770519882173193187528103071688531351284982261237177464624277027399310810395123887043769593),
+   SC_(3.0517578125e-05), SC_(32767.422814517846946712424323330929297653533863422272563414016849898012012340553077313180372110926700212481801), SC_(10.397190093941001762077888432721419773538263621284980386087595611130083710453618086121153091365977520386941415),
+   SC_(6.103515625e-05), SC_(16383.42284469890528218878340665131432419969255047068156812042208283397601650891029967666331544927732210443312), SC_(9.7040253004547744779513374741677442322475077760995803568370826388756352920940943196113558195081630558962910106),
+   SC_(0.0001220703125), SC_(8191.4229050559521903657854129129664134445515043199266192085089372946579731735978622247768620431724581508606997), SC_(9.0108428986376796558566793644622196072876364393508694347316583669855087095187579636778323821368920315957144647),
+   SC_(0.000244140625), SC_(4095.4230257497716410728030503892693258678381316784423536877219316935043691637502893910375698412728383522417053), SC_(8.317625293943180446655815151656334697387535209532543670469194897155588560215972212518948755582346678140303134),
+   SC_(0.00048828125), SC_(2047.4232670563505463911594407202877340796685860085037290330908477694784828722752589234386616275074158784115589), SC_(7.6243373386178115967577294154935505415898425375792130346404403469224780410189955043518177534280650972663504023),
+   SC_(0.0009765625), SC_(1023.4237493455678303694987182399302708889681657511559856385049045121007899402183357575652515632768974740375853), SC_(6.9309089024194618895406190646600805357272725481886499649320015816615110059419839952690782894844419715059702254),
+   SC_(0.001953125), SC_(511.42471263063157444617301296353139248689125023795835087184238733343873973436982796062397441756165993353784545), SC_(6.2372003851753314191620008581209150671799664971974921624053434528952960658245919611157642239152398574405267058),
+   SC_(0.00390625), SC_(255.42663404633623155853184130279527883554241352242007101168764662600237353911434545774758956065784696570576326), SC_(5.5429352218196013251930914897561820146741931488402650186086437521093596900778085868881275902670823260163243408),
+   SC_(0.0078125), SC_(127.43045641142965881153833522301004049383015844259449629866661698582343060889735440205971422279331101313127698), SC_(4.8475707758816648668339547712848838673297433029418674530508358828122183838135267713566196701841430311657990729),
+   SC_(0.015625), SC_(63.438020469891310987294839438025282541744240508473817235806384960497972351073761955971951743561333619630031293), SC_(4.1500633736539387872985034990504323420729999930696353454115420044388134539475338895506313252916341440491900744),
+   SC_(0.03125), SC_(31.452835177076061273044315784146219215039623597918808654057075933450946166392291390846045519788018148144971949), SC_(3.4484891277979584796832693452686366085801342252961698900683219165794824084108803405324370764889485234264769516),
+   SC_(0.0625), SC_(15.481281081592398156159620779446908026633633634897919783458416770518310580228570100461593932429926815589964135), SC_(2.739631621946203418585729650082232089144944407273537378878682102557800886267908796562155530267184749512155787),
+   SC_(0.125), SC_(7.5339415987976119046992298412151336246104195881490759409831278977766636571989064128335286268103568536592492169), SC_(2.0194183575537963453202905211670995899482809521344496051319648726793149592104824058222593165263400306400501967),
+   SC_(0.125), SC_(7.5339415987976119046992298412151336246104195881490759409831278977766636571989064128335286268103568536592492169), SC_(2.0194183575537963453202905211670995899482809521344496051319648726793149592104824058222593165263400306400501967),
+   SC_(0.25), SC_(3.6256099082219083119306851558676720029951676828800654674333779995699192435387291216183601367233843003614717514), SC_(1.2880225246980774573706104402197172959253775651128605504999870225339612626756988362160738164176138661867887604),
+   SC_(0.375), SC_(2.3704361844166009086464735041766525098874008033589249877751269346731615313580017917986476683710148065085072013), SC_(0.86307398227064746240508909413401549533247062934842713501214158155473398936618356558114368929134299687589643426),
+   SC_(0.5), SC_(1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236), SC_(0.57236494292470008707171367567652935582364740645765578575681153573606888494241303989181163513774485385100490611),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_m10 = {
+   SC_(-10.5), SC_(-2.6401218205477163162463853253112404396824684325225876560591681547776531412320896733077825213069197651551576322e-07), SC_(-15.147270590717841146101176395526319634361233144976539395806067304933214009506219449748237918628779426212247756),
+   SC_(-10.375), SC_(-3.8538247770911000161675656207521103284982443268350536808271424732765885254708394649373422005676760008400862845e-07), SC_(-14.769029547207010126880427205161037877615976647148661939990931059310398340635726942011822643125761107580456434),
+   SC_(-10.25), SC_(-6.7808180432946731304891004492754985848002028127645937925987831604279861015230319565197133049475246720265617509e-07), SC_(-14.203997900931090651611168760703872067369359534543268877527871797142641008794669162514478870187681525502707551),
+   SC_(-10.125), SC_(-1.6848312620525174562168823278898954773941569991332984138613039137544611702464441186507014913285532369128084283e-06), SC_(-13.293845140389538484236785089823191703003394811834373853890795281383497051542460456218069071634943022448287749),
+   SC_(-10.125), SC_(-1.6848312620525174562168823278898954773941569991332984138613039137544611702464441186507014913285532369128084283e-06), SC_(-13.293845140389538484236785089823191703003394811834373853890795281383497051542460456218069071634943022448287749),
+   SC_(-10.0625), SC_(-3.8303281070203166358893255038075515689788548682068602059827696781608124010000092944728511165171308472386964422e-06), SC_(-12.472560090811655790399293558057858441571483321784488448140552924013774813892809787659569031629236371679128839),
+   SC_(-10.03125), SC_(-8.2062995295301977865739252471114097581399704534847069178172887098466492511561233864084602910264856198265594463e-06), SC_(-11.710608463327203877922439589134156179378847473881039377256783779098476940306696210613202752304294682131268418),
+   SC_(-10.015625), SC_(-1.7006998746430383834615574873683499132247356904352807785456785414586550135480125148421847460446894633835659992e-05), SC_(-10.981885607663038890372660918270813522611221711995411719058690162881036908939868531688553907126919411287616518),
+   SC_(-10.0078125), SC_(-3.463458256516313677243695342138690766684809142189547960850013490387874801698738453473277516306844214190487446e-05), SC_(-10.270657878961264244105831591933113500642522530339833160069979898957856531876909280009891153999986577303842319),
+   SC_(-10.00390625), SC_(-6.9903328747582090334264466990359269997790653299612523014453525670654238269220629079646079250632662914745041101e-05), SC_(-9.5683972882906823868530086836819678493673162133442777382100031989521977539800474524598896364796335003838921442),
+   SC_(-10.001953125), SC_(-0.00014044773639004517085218511186084665040117005949411662519219403186667777541881413063638150159120500428997284589), SC_(-8.8706751213823100948059663871462545011894831848821935981721426737578215404617912777046971345675238130508911839),
+   SC_(-10.0009765625), SC_(-0.0002815400414018834118126663382034402741479689594171010756083558783027365535191173266085209272398959320435563284), SC_(-8.1752358775093991610978176096814198666058029396327554625972822598030753524724073225250659907922887435361988651),
+   SC_(-10.00048828125), SC_(-0.00056372640438562406339795157397595352175803840824393729467758565225052293961979009282839532228849140550901819684), SC_(-7.4809415227716591112920917790199883465363850706824864438555393281281733627770678389764713533283267723802617478),
+   SC_(-10.000244140625), SC_(-0.0011281000088666906790099028077029688733534633312018939073522383169843972006791891083746340544137656977029625796), SC_(-6.7872204694935549116145712572380064251227733468906266602833942926516998884084256262328209944154842509580856106),
+   SC_(-10.0001220703125), SC_(-0.0022568476575951849572338512766050487930850625293184263204693320098204581647371184438839524848065868431985384286), SC_(-6.0937862811673102385457363204870585320705297624776227202341269453083012501968923010671604671028494883139694941),
+   SC_(-10.00006103515625), SC_(-0.0045143431750628939550724288601553265505525647611190489661018364911927229954027861461294408164473421068389146262), SC_(-5.400495578872419834979145899538225218652673336401402460949985869151998056499718543213055629562601331078338338),
+   SC_(-10.000030517578125), SC_(-0.0090293343200355756478399974744597147912262573396960327275240218667234867315410338423464826636465932829121757205), SC_(-4.7072766329820541734836113471950573963927578010264651492145413498249528107073028945299745857456918034683085008),
+   SC_(-10.0000152587890625), SC_(-0.01805931666500754906434806474181437991941766881544879124877659844144751708341968615676038223507335972382445726), SC_(-4.0140935686411618585462277846106506660699161075773229965810063609108594642004394925755368750818713942886926083),
+   SC_(-10.00000762939453125), SC_(-0.036119281382466795747699608016365542645360304984522876478635716949605359588149124449398506063147283098365457863), SC_(-3.3209284459118088536424235871595334843808788990922450452806348667114328163342888050473951063973084685876207443),
+   SC_(-10.000003814697265625), SC_(-0.072239210831143437784442631076517501061328351017534557386825420427208991397828223393126909285392207582909685565), SC_(-2.6277722941974261500946577710005105141808674548717098205508892010986355128153814698800661001225613213555912579),
+   SC_(-9.999996185302734375), SC_(0.072240506991080140226280464486758514533737515018901029832903166227124013202904526666574637362350414490614743936), SC_(-2.6277543517490842715915533024499471614985034496459263514869947373789277617858159307952003679450429054090048394),
+   SC_(-9.99999237060546875), SC_(0.036120577542403640698404710834445867288551703065790706542765373704676585286302915440960140762729857943113743194), SC_(-3.3208925610151250976409481654228433171371492088599903431349931831149381203023886830928385314956526143963256776),
+   SC_(-9.9999847412109375), SC_(0.018060612824944964050522420153647987326759440429090182879472515318648397708797273550747584584544200555283075984), SC_(-4.0140217988477943545811450640575117955018130004911076783885699392302224415399109280900833116816446077477975638),
+   SC_(-9.999969482421875), SC_(0.0090306304799752707758941626596459565197411504398981405305672474400443191735267440971853907490817836401673825686), SC_(-4.7071330933953192298563908896026844530558294019434613821600142656362705685591427608559131087722307670071704099),
+   SC_(-9.99993896484375), SC_(0.0045156393350117096506906235123693717642525834884264548975756002470555437234213226039016466275186830824011549991), SC_(-5.4002084996989504621482648573278564806711207379749341638368371970751514723243487188721029178770263189901608029),
+   SC_(-9.9998779296875), SC_(0.0022581438175804829238248097866602612484145368186317691587687683989148226748938244465292050256428844284406054563), SC_(-6.0932121228203756082724533754817787769633622618085393842967788052554447785887230884400714289450736790039304928),
+   SC_(-9.999755859375), SC_(0.0011293961689979177409582533434385718648499977117105373699571877447937321743618349398302296852834539762401049319), SC_(-6.7860721527997185741758434624052069356140387438793337035461509813989634836354221109803516247925070522339098306),
+   SC_(-9.99951171875), SC_(0.0005650225651005676902373042742306456894426751663163785063372803519818090560489289692863232794723772605605138254), SC_(-7.4786448893842498212775003061077738739629442621603838905244848422998329225846889688165479130280062735500001068),
+   SC_(-9.9990234375), SC_(0.00028283620445169623360208006410504918893303259870304545298219926493573852339806310324072330819283446263445648985), SC_(-8.1706426107366876599766469685063136982163173031269613541112734472501752431806154620855941523707592358821573282),
+   SC_(-9.998046875), SC_(0.00014174390877938173881755385055519122068838618578180179002632489356897973325849852862365474365887363071432149114), SC_(-8.8614885878537437239909034045275205498625084713195372673470850432327423783025263246622420625330828387002099979),
+   SC_(-9.99609375), SC_(7.119953849576511774290270246050426493187892612378450120522214272512656687770624516610244744772466266046045893e-05), SC_(-9.5500242213684027018628650534771547352625329091599816412816260273825896031500048046845276735177601595018177102),
+   SC_(-9.9921875), SC_(3.5930941760756412433601439672728188991952641189953864041371230226803762792766846195289464629690885330539776437e-05), SC_(-10.233911746195529494341636009604122245422344310878454861680046147466235002599645306931790254829751980426939683),
+   SC_(-9.984375), SC_(1.830395592410737084371847753712605958897829969992610952084772709639305869757082989106363209867797862442107124e-05), SC_(-10.908393350762171699657964143696240687663821790887704824802780507800640785598149475120005640690502223974553771),
+   SC_(-9.96875), SC_(9.505651717966543211040666528035462899478708721352313858572893055517428213772311465457742360062673498799299903e-06), SC_(-11.563624018570459074426000149190015660069301525083588717478426971926250695139858700844030463876648475101876574),
+   SC_(-9.9375), SC_(5.1393098719794843214983768167746592270465393195053446784457500258107908538070746947791874439824691854907937821e-06), SC_(-12.178591753663558334615607691089929332278639626474014617397553470892979866404787276458175722283328560235748117),
+   SC_(-9.875), SC_(3.0331378349844118367916527868421330423279022961121689459116361879468133814976899135069225672564620763035808775e-06), SC_(-12.705912885191709216330649855766060886050511713221700171057560196038359990767026197941657384611796420084690294),
+   SC_(-9.875), SC_(3.0331378349844118367916527868421330423279022961121689459116361879468133814976899135069225672564620763035808775e-06), SC_(-12.705912885191709216330649855766060886050511713221700171057560196038359990767026197941657384611796420084690294),
+   SC_(-9.75), SC_(2.1975471554628538878687097038174467045673963558516761458733594224768790871811561734110581396760034627420207205e-06), SC_(-13.02816874893114553892881831326149507953160856763706972216958177840795541404570842934499260464645281219524649),
+   SC_(-9.625), SC_(2.2482144262764106485744600287631988468245040795826756238383242667919200286457284010570008975693593479892337832e-06), SC_(-13.005374245127447905440562160338200328457464849456589811238656297567198731475962077658512536105296188433561627),
+   SC_(-9.5), SC_(2.7721279115751021320587045915768024616665918541487170388621265625165357982936941569731716473722657534129155138e-06), SC_(-12.795895333554363459017810536618790768152157991932184009732662830851533475505235930692826992223594497973217513),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_m55 = {
+   SC_(-55.5), SC_(3.3139392476846767283772683472966711027379358916150215150100091113288581639716577666936138823743494933582485708e-74), SC_(-169.19315929474335779344369504127764360638576736584657350719841893651263762818182983422637103883600009475295023),
+   SC_(-55.375), SC_(5.9318859132518291480114318459074384575764572752286332720058209655273732493724597193570531603155064624894472949e-74), SC_(-168.61095468989415809790338364314570312342609364969016065650021960725483321171774482698122412629076944633855119),
+   SC_(-55.25), SC_(1.2813426521356120465015177624260127989204569715020077966304829152772083413607018666340428486300332280796208268e-73), SC_(-167.84080331341333383815979953761769175591813615840570079497886049657539310492828513105040463659546252211816577),
+   SC_(-55.125), SC_(3.9131911034762969245238588487381041440846027762491865228553788345525175997195411344274833797237931115609718734e-73), SC_(-166.72435860843190139822628508932092125390175115884704297746744101312162433253081529570258774243551333817830547),
+   SC_(-55.125), SC_(3.9131911034762969245238588487381041440846027762491865228553788345525175997195411344274833797237931115609718734e-73), SC_(-166.72435860843190139822628508932092125390175115884704297746744101312162433253081529570258774243551333817830547),
+   SC_(-55.0625), SC_(9.8673260748719801875429285251138910685603226064990180114590137125530954288639029165366000246631264886799703812e-73), SC_(-165.79948288622388202234636515611843830505514258701793419810113570552493456762468969521506734143100583664732933),
+   SC_(-55.03125), SC_(2.2266603436756153752904641869096011836186795399043787377981231678451750266953030611051107662716958210621245176e-72), SC_(-164.98562383636151624509401976786053064837595790874753092152373576035270874465656548258782871456207195221944214),
+   SC_(-55.015625), SC_(4.7360694547400010557633537120899731339514832927411000411557017241069914315190052808401850645764826258988157223e-72), SC_(-164.23091913282262531153543074864624423458124037703612931710548143819607381413472198841194346813378767049857102),
+   SC_(-55.0078125), SC_(9.7711411829383473352191234385949187141301095595021430916520807560660169392008422644376163773341508350241419744e-72), SC_(-163.50669343153341345258524324381801036966183326252171998393543422918069158015224990644429130175698598699531559),
+   SC_(-55.00390625), SC_(1.9849813368130565400082616367736733898222309059037526584787565396148994249432311844770938652923241295223173372e-71), SC_(-162.79793209059158135187371040016035284056001188974505773778388041815604246557372874833520121084623675848324653),
+   SC_(-55.001953125), SC_(4.0011527025839186802362202986064746607659562719948879104538703040305946839868510269637364333411827497280876609e-71), SC_(-162.09695910732599926634580619546086967483516523508116372639480433720335112449010866710477018788763078059531739),
+   SC_(-55.0009765625), SC_(8.0337165791330065335975494516865674084243424087485487106774189934117418204397780662715970161029291548435735322e-71), SC_(-161.39989434494066669193445734325668854800347599330188459461000783505748749530276418597694449437396439975642739),
+   SC_(-55.00048828125), SC_(1.6098955582234111797192918389653091448532474529983175191497792172611202123857866753532046573856256174280604906e-70), SC_(-160.70478720335970779044810048577706572168294270359200751102024774726873809107608410429108303843036597175851574),
+   SC_(-55.000244140625), SC_(3.2229489383739069077426589427292221486316835695264580306146368181978314124729044747056203876145163299274839162e-70), SC_(-160.01065974976279784681276079462713523274703044269550248584357078652658101108956772105309588537940153835845253),
+   SC_(-55.0001220703125), SC_(6.4490584927092060270881030241102009753530989802388015943440565730695270982447302276967661985453793370842809927e-70), SC_(-159.31702235955279567847278381399076746835459254718344944015223186406361061632854529086525121167403149843204951),
+   SC_(-55.00006103515625), SC_(1.2901278999465709067481172051357680823144647144568010162984581701224308123653537826832760721024936282443616929e-69), SC_(-158.62363005588493092816609841988394155956583356426839818962424302647689373565571590600021022739583173660825912),
+   SC_(-55.000030517578125), SC_(2.5805720712289037815987851594678385818056219448843736699329563576677642341882019081454419267963820729415843202e-69), SC_(-157.93036030920030332559475681177857998315815179296792358505521494080549634853806742842599525295140408602520327),
+   SC_(-55.0000152587890625), SC_(5.1614604487657722043250649624190917425292416189357191604774760397102648986075958213671067240971910379231601532e-69), SC_(-157.23715184443533623970061088892203568266958809147580434329834884584272834667232463377062600899364515818112128),
+   SC_(-55.00000762939453125), SC_(1.0323237221327282306659069651742858534255822887359607372715440005717339347982261692628904404013928528138747796e-68), SC_(-156.54397402148720988565208247423205185881626540946911738049902395409778731347569805387628207669123601334895297),
+   SC_(-55.000003814697265625), SC_(2.0646790775194607155547973586647286676515701833028398450458745081506384416914447177006207163885808000864861054e-68), SC_(-155.85081151966175651492016050142678242361703242831924093683985874119382809840757393245978293124570333614782346),
+   SC_(-54.999996185302734375), SC_(-2.0647423457763898724441926766911315065748070017125332824216525333206102831503809803767031509941257051095480361e-68), SC_(-155.85078087698790531440342542733440432240051900423559858958186239966734563886801864889432738076539471668895153),
+   SC_(-54.99999237060546875), SC_(-1.0323869903896693318830692237031954173816799563002261478764664298984104173642680845761561815785364811365950836e-68), SC_(-156.54391273613950748465465267775551173404636022049848355502194287658532776162587291004675505997222135700600833),
+   SC_(-54.9999847412109375), SC_(-5.1620931313356609896075688482137310567330154490050164964662354612513882037233620876810059122881731302591840784e-69), SC_(-157.23702927373993143799407410963469018278376350720219187972772250750700644789716664384228749551614603436871943),
+   SC_(-54.999969482421875), SC_(-2.5812047538007036593280731337730752898602262231463037817558505350246736606350620972639615315635322909651300801e-69), SC_(-157.93011516780949372448826576252996308778678964456988096449223016883160136143552770098938132537009369756377915),
+   SC_(-54.99993896484375), SC_(-1.2907605825260151543166837175559445009795374956430246284126711484577031924699174545944895326636671560177808025e-69), SC_(-158.62313977310331174440577639600157603341423045107632974931252232310276610527561242387710371984731250986549586),
+   SC_(-54.9998779296875), SC_(-6.4553853188094233046876592895012648526525180150283982410436290391286449231992481112970048887626762406755841465e-70), SC_(-159.31604179398955745857342036334579627322321174599523639438610416496491311033164651485814292304911182363789844),
+   SC_(-54.999755859375), SC_(-3.2292757656972235264817841973017091612850066235367577135589531310177286051775644893848808027910916408840977495e-70), SC_(-160.008698618636322587984278676721311394088533466446436344243872086944887040043886445247026629363735214473968),
+   SC_(-54.99951171875), SC_(-1.6162223904391272987614396144702464048620728230822869522050389281968219339860682149986737507185342236122482244e-70), SC_(-160.70086494110676672055309472267163668000786442396165599182969366303437562734113536343158325224802778831022075),
+   SC_(-54.9990234375), SC_(-8.0969850969864894557318737691129310533152378549300982938253861469921910001290234535035353039291664032683997005e-71), SC_(-161.39204982043486013424012017896022763434405540685541863080825447440184983633823935682152910471761682194009755),
+   SC_(-54.998046875), SC_(-4.0644220032281560703728901101136615238229622973622761832467789502241278374515215353594012570458502857903981801e-71), SC_(-162.08127005831499080772273733065198611316466700027432803456286137458898401259735082441220119389429933849355178),
+   SC_(-54.99609375), SC_(-2.0482537687077942321090221494955604658948917393938808734782620010367460550782558724337143218077466815606828151e-71), SC_(-162.76655399257440168875915457183408280308181309108442817686019319039574202034357650371627118245510718069276458),
+   SC_(-54.9921875), SC_(-1.0403990765904058990542225796822538651968437182446447227222447641641087941482441402308781506170093116348625277e-71), SC_(-163.44393723553775215962440891211372104324292658809768134937071615839546889202248565570727559357168585211528697),
+   SC_(-54.984375), SC_(-5.3694203178248012960900203599575845045610933561396749930640665980127154398291281623913230156597442878775142006e-72), SC_(-164.10540674114088699865988860882135830043683987131160528991359858820364329321760996768871762443071852512281227),
+   SC_(-54.96875), SC_(-2.8620199166194479828493095671425742915953512414537009228248225603396036162945784882292674609093835486992929556e-72), SC_(-164.73459905547471402450903404825766145807171664983496017940723813429221345967182421940603213707285850265527743),
+   SC_(-54.9375), SC_(-1.630184748946170270451320476784206632433100949854187290655399013933472279746756814511062145550705943739852752e-72), SC_(-165.29743334426367988801614492623357248875947820678485342207381159442753904137725281319125060291177520756987098),
+   SC_(-54.875), SC_(-1.0680846658670924739602982648760091697857219572998674888647870128655188067134225296553126235143157749497843576e-72), SC_(-165.72025968301894168117211535724538401110675145308696617050338903177744719353297591311385180951230869443034591),
+   SC_(-54.875), SC_(-1.0680846658670924739602982648760091697857219572998674888647870128655188067134225296553126235143157749497843576e-72), SC_(-165.72025968301894168117211535724538401110675145308696617050338903177744719353297591311385180951230869443034591),
+   SC_(-54.75), SC_(-9.5458361856251771955421646288223745986868922040967488750625623295543548143461204454601975061372552514173142635e-73), SC_(-165.832606730654205986120867393356943779751171701619270053868138901004382167757346011577115957303576501169292),
+   SC_(-54.625), SC_(-1.206186475649396145903288691554707530168287112342184654831637542295698786164449139797442886500595537701817763e-72), SC_(-165.59866298596103365955616501583662559837750698138902842335766258991320191255510277437255784261835345464069791),
+   SC_(-54.5), SC_(-1.8392362824649955842493839327496524620195544198463369408305550567875162810042700605149557047177639688138279568e-72), SC_(-165.17677627399096896709758625478184730591369935521644314593949193117554720994255451755959707734651803272517273),
+};
diff --git a/src/boost/libs/math/test/tgamma_ratio_data.ipp b/src/boost/libs/math/test/tgamma_ratio_data.ipp
new file mode 100644
index 00000000..9323711d
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_ratio_data.ipp
@@ -0,0 +1,407 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 400> tgamma_ratio_data = { {
+      {{ SC_(6.68193912506103515625), SC_(6.68193912506103515625), SC_(1.0) }}, 
+      {{ SC_(6.68193912506103515625), SC_(8.095367431640625), SC_(0.06544775114440229981894259276990196062764) }}, 
+      {{ SC_(6.68193912506103515625), SC_(8.50289630889892578125), SC_(0.02833082889188931171456297874515804727699) }}, 
+      {{ SC_(6.68193912506103515625), SC_(11.04233455657958984375), SC_(0.9977723749373989179839784596883914860086e-4) }}, 
+      {{ SC_(6.68193912506103515625), SC_(12.6096343994140625), SC_(0.2224848351207471598094573384811702572789e-5) }}, 
+      {{ SC_(6.68193912506103515625), SC_(15.36791515350341796875), SC_(0.1707401795086213382244662934709192347257e-8) }}, 
+      {{ SC_(6.68193912506103515625), SC_(16.792018890380859375), SC_(0.3420632447590243481697274715444998893408e-10) }}, 
+      {{ SC_(6.68193912506103515625), SC_(28.25031280517578125), SC_(0.1600680453581408921824330663433115251581e-25) }}, 
+      {{ SC_(6.68193912506103515625), SC_(28.2665882110595703125), SC_(0.1516395254249637529260062571562632237052e-25) }}, 
+      {{ SC_(6.68193912506103515625), SC_(32.353244781494140625), SC_(0.1435206894862598198928388181910160004221e-31) }}, 
+      {{ SC_(6.68193912506103515625), SC_(41.1067352294921875), SC_(0.3302103464979977987816033282184687805192e-45) }}, 
+      {{ SC_(6.68193912506103515625), SC_(42.080410003662109375), SC_(0.886133585915892288509502556440259057933e-47) }}, 
+      {{ SC_(6.68193912506103515625), SC_(45.4780120849609375), SC_(0.2445790945282646979483178649067515339092e-52) }}, 
+      {{ SC_(6.68193912506103515625), SC_(45.842041015625), SC_(0.6109956711604874877647044786673395753644e-53) }}, 
+      {{ SC_(6.68193912506103515625), SC_(47.9603271484375), SC_(0.1802664125152357631935884543327977871009e-56) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.314647674560546875), SC_(0.4585435903890089500439815393256424830955e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.4493560791015625), SC_(0.2722991298511892486629788976421558265475e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.50565338134765625), SC_(0.2189817526247552395152959212887295282992e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(49.65830230712890625), SC_(0.2491707234921651072352951178714074480602e-59) }}, 
+      {{ SC_(6.68193912506103515625), SC_(49.830142974853515625), SC_(0.1275499540450052064566893368701946482382e-59) }}, 
+      {{ SC_(8.095367431640625), SC_(6.68193912506103515625), SC_(15.27936380569631379215981282038521263139) }}, 
+      {{ SC_(8.095367431640625), SC_(8.095367431640625), SC_(1.0) }}, 
+      {{ SC_(8.095367431640625), SC_(8.50289630889892578125), SC_(0.4328770415561089543785983031850532551013) }}, 
+      {{ SC_(8.095367431640625), SC_(11.04233455657958984375), SC_(0.001524532711194214483439552686740177905313) }}, 
+      {{ SC_(8.095367431640625), SC_(12.6096343994140625), SC_(0.3399426737060256217390151315994565352827e-4) }}, 
+      {{ SC_(8.095367431640625), SC_(15.36791515350341796875), SC_(0.2608801318962120302585268540253614111335e-7) }}, 
+      {{ SC_(8.095367431640625), SC_(16.792018890380859375), SC_(0.5226508761230075927654898387420647235484e-9) }}, 
+      {{ SC_(8.095367431640625), SC_(28.25031280517578125), SC_(0.2445737898693733797769611259209203584443e-24) }}, 
+      {{ SC_(8.095367431640625), SC_(28.2665882110595703125), SC_(0.2316955476291157102884553711299427658036e-24) }}, 
+      {{ SC_(8.095367431640625), SC_(32.353244781494140625), SC_(0.2192904828304937772446028970624034599691e-30) }}, 
+      {{ SC_(8.095367431640625), SC_(41.1067352294921875), SC_(0.5045404016547946090253729607520301559963e-44) }}, 
+      {{ SC_(8.095367431640625), SC_(42.080410003662109375), SC_(0.1353955743965516944489997901950715452755e-45) }}, 
+      {{ SC_(8.095367431640625), SC_(45.4780120849609375), SC_(0.3737012964565144972084775063603050427547e-51) }}, 
+      {{ SC_(8.095367431640625), SC_(45.842041015625), SC_(0.9335625143366679579486394992496451351018e-52) }}, 
+      {{ SC_(8.095367431640625), SC_(47.9603271484375), SC_(0.2754356098768014320479195593046571558735e-55) }}, 
+      {{ SC_(8.095367431640625), SC_(48.314647674560546875), SC_(0.7006254338323859447417411411637098417379e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(48.4493560791015625), SC_(0.4160557468970861681934763285488463143071e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(48.50565338134765625), SC_(0.3345901865162628968218063609001765927876e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(49.65830230712890625), SC_(0.3807170133965351751944945486685393449817e-58) }}, 
+      {{ SC_(8.095367431640625), SC_(49.830142974853515625), SC_(0.1948882151253480684761778785767440869907e-58) }}, 
+      {{ SC_(8.50289630889892578125), SC_(6.68193912506103515625), SC_(35.29723764228744086812043153239973434675) }}, 
+      {{ SC_(8.50289630889892578125), SC_(8.095367431640625), SC_(2.310124825297257793166027233518450467265) }}, 
+      {{ SC_(8.50289630889892578125), SC_(8.50289630889892578125), SC_(1.0) }}, 
+      {{ SC_(8.50289630889892578125), SC_(11.04233455657958984375), SC_(0.003521860863107489503907274588697768037321) }}, 
+      {{ SC_(8.50289630889892578125), SC_(12.6096343994140625), SC_(0.7853100097062151498541705753484156861086e-4) }}, 
+      {{ SC_(8.50289630889892578125), SC_(15.36791515350341796875), SC_(0.6026656691202623868522041531664940403622e-7) }}, 
+      {{ SC_(8.50289630889892578125), SC_(16.792018890380859375), SC_(0.1207388763895121639743664392369700074862e-8) }}, 
+      {{ SC_(8.50289630889892578125), SC_(28.25031280517578125), SC_(0.564995983594274416859732458938454292755e-24) }}, 
+      {{ SC_(8.50289630889892578125), SC_(28.2665882110595703125), SC_(0.5352456364888634023094937531252471776606e-24) }}, 
+      {{ SC_(8.50289630889892578125), SC_(32.353244781494140625), SC_(0.5065883883381457468092824152960142285326e-30) }}, 
+      {{ SC_(8.50289630889892578125), SC_(41.1067352294921875), SC_(0.1165551307228190672944688371949229156942e-43) }}, 
+      {{ SC_(8.50289630889892578125), SC_(42.080410003662109375), SC_(0.3127806776488558533920147278994474194652e-45) }}, 
+      {{ SC_(8.50289630889892578125), SC_(45.4780120849609375), SC_(0.8632966421899642956616439002226661768323e-51) }}, 
+      {{ SC_(8.50289630889892578125), SC_(45.842041015625), SC_(0.2156645940336063790233453759917649217215e-51) }}, 
+      {{ SC_(8.50289630889892578125), SC_(47.9603271484375), SC_(0.636290640147289561320766371462864805633e-55) }}, 
+      {{ SC_(8.50289630889892578125), SC_(48.314647674560546875), SC_(0.1618532207930856030225979904296120628837e-55) }}, 
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+      {{ SC_(48.50565338134765625), SC_(47.9603271484375), SC_(8.23202894097474578256346862985747732831) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.314647674560546875), SC_(2.093980822113357920271431337630760310643) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.4493560791015625), SC_(1.243478630467434834721499987219186699646) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.50565338134765625), SC_(1.0) }}, 
+      {{ SC_(48.50565338134765625), SC_(49.65830230712890625), SC_(0.01137860668779746965294028255799791422986) }}, 
+      {{ SC_(48.50565338134765625), SC_(49.830142974853515625), SC_(0.005824684135375125377888394010247691105308) }}, 
+      {{ SC_(49.65830230712890625), SC_(6.68193912506103515625), SC_(0.4013312583375967416661578325917486444011e60) }}, 
+      {{ SC_(49.65830230712890625), SC_(8.095367431640625), SC_(0.2626622832214886218015717184826554078257e59) }}, 
+      {{ SC_(49.65830230712890625), SC_(8.50289630889892578125), SC_(0.113700472089290789897629737177398002534e59) }}, 
+      {{ SC_(49.65830230712890625), SC_(11.04233455657958984375), SC_(0.4004372427681186817057187355081811104948e56) }}, 
+      {{ SC_(49.65830230712890625), SC_(12.6096343994140625), SC_(0.8929011884004219495315315213522833289702e54) }}, 
+      {{ SC_(49.65830230712890625), SC_(15.36791515350341796875), SC_(0.6852337109098215178887399704270903577856e51) }}, 
+      {{ SC_(49.65830230712890625), SC_(16.792018890380859375), SC_(0.1372806724501805853779867836918351364192e50) }}, 
+      {{ SC_(49.65830230712890625), SC_(28.25031280517578125), SC_(6424031006322219535859735319895730.406516) }}, 
+      {{ SC_(49.65830230712890625), SC_(28.2665882110595703125), SC_(6085768155251669725746553272367876.464595) }}, 
+      {{ SC_(49.65830230712890625), SC_(32.353244781494140625), SC_(5759933890900014436468813901.114329886265) }}, 
+      {{ SC_(49.65830230712890625), SC_(41.1067352294921875), SC_(132523733876135.2881084287595872245597653) }}, 
+      {{ SC_(49.65830230712890625), SC_(42.080410003662109375), SC_(3556331070908.319456261711716187098696346) }}, 
+      {{ SC_(49.65830230712890625), SC_(45.4780120849609375), SC_(9815723.577009849317698980162780336496513) }}, 
+      {{ SC_(49.65830230712890625), SC_(45.842041015625), SC_(2452116.61545662911113776272285650291177) }}, 
+      {{ SC_(49.65830230712890625), SC_(47.9603271484375), SC_(723.4654617074386650606404106270002904964) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.314647674560546875), SC_(184.0278761334604933216410145833973305409) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.4493560791015625), SC_(109.2821524274104329582796424993272683682) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.50565338134765625), SC_(87.88422233386534838722699682176254064215) }}, 
+      {{ SC_(49.65830230712890625), SC_(49.65830230712890625), SC_(1.0) }}, 
+      {{ SC_(49.65830230712890625), SC_(49.830142974853515625), SC_(0.5118978355778457700907478004290928982057) }}, 
+      {{ SC_(49.830142974853515625), SC_(6.68193912506103515625), SC_(0.7840065545199304670108533691898249387968e60) }}, 
+      {{ SC_(49.830142974853515625), SC_(8.095367431640625), SC_(0.5131146587580068328804320686790697457432e59) }}, 
+      {{ SC_(49.830142974853515625), SC_(8.50289630889892578125), SC_(0.2221155554622383892333093987944533873854e59) }}, 
+      {{ SC_(49.830142974853515625), SC_(11.04233455657958984375), SC_(0.782260081869838348283677686535832364175e56) }}, 
+      {{ SC_(49.830142974853515625), SC_(12.6096343994140625), SC_(0.1744295690159517988946627267959914710007e55) }}, 
+      {{ SC_(49.830142974853515625), SC_(15.36791515350341796875), SC_(0.1338614198546686499416667263462438494101e52) }}, 
+      {{ SC_(49.830142974853515625), SC_(16.792018890380859375), SC_(0.26817982595143034220545161257463255727e50) }}, 
+      {{ SC_(49.830142974853515625), SC_(28.25031280517578125), SC_(12549439672997599030300754159544767.03381) }}, 
+      {{ SC_(49.830142974853515625), SC_(28.2665882110595703125), SC_(11888638185746322677793115992561779.63174) }}, 
+      {{ SC_(49.830142974853515625), SC_(32.353244781494140625), SC_(11252116126644737085315595239.69631493006) }}, 
+      {{ SC_(49.830142974853515625), SC_(41.1067352294921875), SC_(258887076024727.6417888699288378265039062) }}, 
+      {{ SC_(49.830142974853515625), SC_(42.080410003662109375), SC_(6947345395383.094961087609307748110446687) }}, 
+      {{ SC_(49.830142974853515625), SC_(45.4780120849609375), SC_(19175161.3208709184277483875675091000146) }}, 
+      {{ SC_(49.830142974853515625), SC_(45.842041015625), SC_(4790246.109731262408906051742019966433475) }}, 
+      {{ SC_(49.830142974853515625), SC_(47.9603271484375), SC_(1413.300489717384632443829918755401512936) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.314647674560546875), SC_(359.5011803980852094949309930259792159491) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.4493560791015625), SC_(213.4843025934060293962890224642100962277) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.50565338134765625), SC_(171.6831293780700953348759427887881234575) }}, 
+      {{ SC_(49.830142974853515625), SC_(49.65830230712890625), SC_(1.953514804123306623532978094346942918559) }}, 
+      {{ SC_(49.830142974853515625), SC_(49.830142974853515625), SC_(1.0) }}
+   } };
diff --git a/src/boost/libs/math/test/trig_data.ipp b/src/boost/libs/math/test/trig_data.ipp
new file mode 100644
index 00000000..6282224a
--- /dev/null
+++ b/src/boost/libs/math/test/trig_data.ipp
@@ -0,0 +1,426 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 414> trig_data = {{
+      {{ SC_(-3.9774532318115234375000000000000000000000e+00), SC_(7.0773544860026243860279929113278325110375e-02), SC_(9.9749240866682582129171337066426038082437e-01) }}, 
+      {{ SC_(-3.9617328643798828125000000000000000000000e+00), SC_(1.1993037621708977961146677085715171980751e-01), SC_(9.9278230486870952597534166945986069243176e-01) }}, 
+      {{ SC_(-3.9047842025756835937500000000000000000000e+00), SC_(2.9468823519354637105911947101495882286179e-01), SC_(9.5559345123253806128916838776381320091963e-01) }}, 
+      {{ SC_(-3.8916873931884765625000000000000000000000e+00), SC_(3.3374547909601862041893513083013201963857e-01), SC_(9.4266322469001038147288152092736823391568e-01) }}, 
+      {{ SC_(-3.8578090667724609375000000000000000000000e+00), SC_(4.3199709903403737307912472091970588030864e-01), SC_(9.0187499490016691899377344383391047319671e-01) }}, 
+      {{ SC_(-3.7453374862670898437500000000000000000000e+00), SC_(7.1738805664233213419617848590715510878805e-01), SC_(6.9667379467505311174160335392136633824863e-01) }}, 
+      {{ SC_(-3.7244319915771484375000000000000000000000e+00), SC_(7.6156366259470177260070281063647817588426e-01), SC_(6.4809010779006898537856851402643268133964e-01) }}, 
+      {{ SC_(-3.7143068313598632812500000000000000000000e+00), SC_(7.8179011765786965192070724412252980346206e-01), SC_(6.2354166816059239705031197761170482474277e-01) }}, 
+      {{ SC_(-3.7084703445434570312500000000000000000000e+00), SC_(7.9309123554739645631663479916579239803262e-01), SC_(6.0910285838920844088315459958697481264632e-01) }}, 
+      {{ SC_(-3.6306295394897460937500000000000000000000e+00), SC_(9.1696736941200755880066612020982424508209e-01), SC_(3.9896220802680404308672276469459511697767e-01) }}, 
+      {{ SC_(-3.5902690887451171875000000000000000000000e+00), SC_(9.6005749263309399424762040094854912358485e-01), SC_(2.7980280706071672819250833169767675946625e-01) }}, 
+      {{ SC_(-3.5683994293212890625000000000000000000000e+00), SC_(9.7700131832151631709443635682201094394830e-01), SC_(2.1323326194104695723693260957232796074504e-01) }}, 
+      {{ SC_(-3.4592370986938476562500000000000000000000e+00), SC_(9.9181146279384676289373069342215326327259e-01), SC_(-1.2771069755791767012021871220455601680871e-01) }}, 
+      {{ SC_(-3.3931655883789062500000000000000000000000e+00), SC_(9.4420293088917725164777488803566691613860e-01), SC_(-3.2936427447476383305860665908806457784788e-01) }}, 
+      {{ SC_(-3.2229461669921875000000000000000000000000e+00), SC_(6.4452819092715720460681805414890459455338e-01), SC_(-7.6458054585515448444199304174329276576484e-01) }}, 
+      {{ SC_(-3.2196769714355468750000000000000000000000e+00), SC_(6.3664172619341055705211898635086791126371e-01), SC_(-7.7115971916943020671267760720429588807288e-01) }}, 
+      {{ SC_(-3.1211061477661132812500000000000000000000e+00), SC_(3.7135335780369037404310918499389657193681e-01), SC_(-9.2849161743546414936854741692037249771494e-01) }}, 
+      {{ SC_(-3.1002845764160156250000000000000000000000e+00), SC_(3.0986713733563102476788873073830476308206e-01), SC_(-9.5077986789762286248285770175256182955887e-01) }}, 
+      {{ SC_(-3.0480184555053710937500000000000000000000e+00), SC_(1.5028291058010493207025880578034599707430e-01), SC_(-9.8864303304457275939138181401436526701454e-01) }}, 
+      {{ SC_(-2.9985380172729492187500000000000000000000e+00), SC_(-4.5929380467587678038943727972886926572694e-03), SC_(-9.9998945240442343165400505621385600628710e-01) }}, 
+      {{ SC_(-2.9928274154663085937500000000000000000000e+00), SC_(-2.2531432037793477675469226940100283743575e-02), SC_(-9.9974613506145963677579891828378701312519e-01) }}, 
+      {{ SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-4.9911526865301578262897706703502998396013e-02), SC_(-9.9875364304015145795419227904280421041712e-01) }}, 
+      {{ SC_(-2.9607505798339843750000000000000000000000e+00), SC_(-1.2299346485981660064237020203833067995992e-01), SC_(-9.9240748062566369342250467688663564344568e-01) }}, 
+      {{ SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-2.6028213071204756629425186005846465917215e-01), SC_(-9.6553260557683736103737209395477391945707e-01) }}, 
+      {{ SC_(-2.8910045623779296875000000000000000000000e+00), SC_(-3.3576688840249427771925848349727492747208e-01), SC_(-9.4194511339701049149409128507465051072874e-01) }}, 
+      {{ SC_(-2.8649091720581054687500000000000000000000e+00), SC_(-4.1177440566510667850464728538235996067571e-01), SC_(-9.1128581621747419851467502037941438628419e-01) }}, 
+      {{ SC_(-2.8070888519287109375000000000000000000000e+00), SC_(-5.6962394780317258349095500647963019767726e-01), SC_(-8.2190544352080338079904161219679275645723e-01) }}, 
+      {{ SC_(-2.8056478500366210937500000000000000000000e+00), SC_(-5.7333889774547421097781817548901513478394e-01), SC_(-8.1931831929476876961507584991747574097795e-01) }}, 
+      {{ SC_(-2.7644929885864257812500000000000000000000e+00), SC_(-6.7418976093170810969556332422484681604555e-01), SC_(-7.3855816714382508099719065401369284800331e-01) }}, 
+      {{ SC_(-2.7390956878662109375000000000000000000000e+00), SC_(-7.3091046787338668451145170450133524796388e-01), SC_(-6.8247336061791230280379473053114594954268e-01) }}, 
+      {{ SC_(-2.7355394363403320312500000000000000000000e+00), SC_(-7.3848948635740579707953709312462199704324e-01), SC_(-6.7426499133469398680589790058582600474355e-01) }}, 
+      {{ SC_(-2.6991062164306640625000000000000000000000e+00), SC_(-8.1066424743162907541066892533920219267801e-01), SC_(-5.8551129616439550978746461056239261291598e-01) }}, 
+      {{ SC_(-2.6305065155029296875000000000000000000000e+00), SC_(-9.1712149632570388738239981145670570715552e-01), SC_(-3.9860777837029461434452340017415559695465e-01) }}, 
+      {{ SC_(-2.6090793609619140625000000000000000000000e+00), SC_(-9.4185655472943839830579836290050447836428e-01), SC_(-3.3601522333547986304807314632542163159655e-01) }}, 
+      {{ SC_(-2.5050191879272460937500000000000000000000e+00), SC_(-9.9987568381768953436701127766269045040788e-01), SC_(-1.5767590497845478262656414731631988934965e-02) }}, 
+      {{ SC_(-2.4929447174072265625000000000000000000000e+00), SC_(-9.9975437034566987067580804393808517747219e-01), SC_(2.2163009153388271557271132253243652915113e-02) }}, 
+      {{ SC_(-2.4272384643554687500000000000000000000000e+00), SC_(-9.7398753115843827533170990651639503684643e-01), SC_(2.2660160888195438795075340941984049712659e-01) }}, 
+      {{ SC_(-2.3354558944702148437500000000000000000000e+00), SC_(-8.6934023639191873450982490002851733105284e-01), SC_(4.9421407647905260119880040102899169441924e-01) }}, 
+      {{ SC_(-2.3183279037475585937500000000000000000000e+00), SC_(-8.4150156664834359869540818771524073982051e-01), SC_(5.4025467450859075039160413881361295523246e-01) }}, 
+      {{ SC_(-2.3046054840087890625000000000000000000000e+00), SC_(-8.1743642279419458878430396216469861867532e-01), SC_(5.7601883188783919247059390170720375367970e-01) }}, 
+      {{ SC_(-2.2620973587036132812500000000000000000000e+00), SC_(-7.3346328340507778941301945165878879887661e-01), SC_(6.7972907242271353377593468076196477559511e-01) }}, 
+      {{ SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-6.6537326993316934952514665105248864416333e-01), SC_(7.4651082487693489365391928166376502681137e-01) }}, 
+      {{ SC_(-2.2095050811767578125000000000000000000000e+00), SC_(-6.1167775393828157540960701817140835841373e-01), SC_(7.9110702521025501171584436651855140566145e-01) }}, 
+      {{ SC_(-2.1587514877319335937500000000000000000000e+00), SC_(-4.7831282457156194256147826366717615468415e-01), SC_(8.7818952501744986937643074486430914859891e-01) }}, 
+      {{ SC_(-2.0518007278442382812500000000000000000000e+00), SC_(-1.6201943644875820325965658806034453314425e-01), SC_(9.8678756691236579534545882522215038541766e-01) }}, 
+      {{ SC_(-1.9913291931152343750000000000000000000000e+00), SC_(2.7236774521824119247640639457167240403283e-02), SC_(9.9962901024012268934784446000199714742073e-01) }}, 
+      {{ SC_(-1.9808664321899414062500000000000000000000e+00), SC_(6.0073684468702575262797776910860329709958e-02), SC_(9.9819394530038838689681575445113488209634e-01) }}, 
+      {{ SC_(-1.9657425880432128906250000000000000000000e+00), SC_(1.0741519398297458068845667640105099725089e-01), SC_(9.9421425060275611673890046532660283866692e-01) }}, 
+      {{ SC_(-1.9592390060424804687500000000000000000000e+00), SC_(1.2770475450980803702535188445773082653842e-01), SC_(9.9181222803290223591996402565002586050197e-01) }}, 
+      {{ SC_(-1.9399342536926269531250000000000000000000e+00), SC_(1.8758420016848789064877165024139046518307e-01), SC_(9.8224852651818657111887581810958489845723e-01) }}, 
+      {{ SC_(-1.8726687431335449218750000000000000000000e+00), SC_(3.8943947239907955191806267942993095630447e-01), SC_(9.2105206005823935504113082081651078396843e-01) }}, 
+      {{ SC_(-1.8622159957885742187500000000000000000000e+00), SC_(4.1946983932693600433549716080531291905775e-01), SC_(9.0776927349136162127391594039572935545573e-01) }}, 
+      {{ SC_(-1.8571534156799316406250000000000000000000e+00), SC_(4.3385385318065783138522312391833924596257e-01), SC_(9.0098325960047459614595694068784152978597e-01) }}, 
+      {{ SC_(-1.8542351722717285156250000000000000000000e+00), SC_(4.4209565798070871752154886197372379282014e-01), SC_(8.9696790867600398251070757116939705415091e-01) }}, 
+      {{ SC_(-1.8153147697448730468750000000000000000000e+00), SC_(5.4819603791581527487211750854339931561457e-01), SC_(8.3634986938087221868046812319445417842653e-01) }}, 
+      {{ SC_(-1.7951345443725585937500000000000000000000e+00), SC_(6.0008215809974023581434137516121683653367e-01), SC_(7.9993837483293571774722252288759286003132e-01) }}, 
+      {{ SC_(-1.7917995452880859375000000000000000000000e+00), SC_(6.0843019022618795009788527140260807985237e-01), SC_(7.9360739892047676462942185706066696498359e-01) }}, 
+      {{ SC_(-1.7846164703369140625000000000000000000000e+00), SC_(6.2618253814748614262259811608337148376852e-01), SC_(7.7967648991050901236982422793142962643534e-01) }}, 
+      {{ SC_(-1.7720141410827636718750000000000000000000e+00), SC_(6.5655224709393941166212925616015192588965e-01), SC_(7.5428054915654475424462469532824344031256e-01) }}, 
+      {{ SC_(-1.7132878303527832031250000000000000000000e+00), SC_(7.8378224352958754678835476318536431268280e-01), SC_(6.2103574351862093135376998317963401489884e-01) }}, 
+      {{ SC_(-1.6237645149230957031250000000000000000000e+00), SC_(9.2535791354740309366987559846725871864256e-01), SC_(3.7909462121638822065656109832689999162915e-01) }}, 
+      {{ SC_(-1.6114730834960937500000000000000000000000e+00), SC_(9.3930307831262708058711419944650941883676e-01), SC_(3.4308851200881494653328085763181866157541e-01) }}, 
+      {{ SC_(-1.6098384857177734375000000000000000000000e+00), SC_(9.4105252753749888823550959379536266333425e-01), SC_(3.3826046238850454312441253682427645862925e-01) }}, 
+      {{ SC_(-1.6013464927673339843750000000000000000000e+00), SC_(9.4974082848623693795720143987094090825340e-01), SC_(3.1303731200333974188394551215433704440959e-01) }}, 
+      {{ SC_(-1.5846953392028808593750000000000000000000e+00), SC_(9.6480953481970116774592198724118779033893e-01), SC_(2.6294973192797105413764821926664215930415e-01) }}, 
+      {{ SC_(-1.5605530738830566406250000000000000000000e+00), SC_(9.8196018693108534535704372647626920244478e-01), SC_(1.8908778723721932992809652230019128825755e-01) }}, 
+      {{ SC_(-1.5501422882080078125000000000000000000000e+00), SC_(9.8761831389905454265970551125211297990428e-01), SC_(1.5687595753074646574707218589497119732404e-01) }}, 
+      {{ SC_(-1.5346636772155761718750000000000000000000e+00), SC_(9.9407634470097495678440728067370155376700e-01), SC_(1.0868404163421794168841468106351872585391e-01) }}, 
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+      {{ SC_(2.7930345535278320312500000000000000000000e+00), SC_(6.0534650679100039131411264058534198908238e-01), SC_(-7.9596206361605784580057896592926540608297e-01) }}, 
+      {{ SC_(2.9794301986694335937500000000000000000000e+00), SC_(6.4576969325134380719184170853709332046455e-02), SC_(-9.9791272916662439637917978556650177608583e-01) }}, 
+      {{ SC_(3.0140590667724609375000000000000000000000e+00), SC_(-4.4153501845982175189175058527762162423716e-02), SC_(-9.9902475858946401221242382128074456077456e-01) }}, 
+      {{ SC_(3.0274448394775390625000000000000000000000e+00), SC_(-8.6113718924577264256191741572510303127778e-02), SC_(-9.9628531426142125159845398506889259793638e-01) }}, 
+      {{ SC_(3.1272258758544921875000000000000000000000e+00), SC_(-3.8913452368727790960356345180278976524450e-01), SC_(-9.2118093905305886299976636088054353344837e-01) }}, 
+      {{ SC_(3.2463350296020507812500000000000000000000e+00), SC_(-6.9891857428318090957573573027947012586588e-01), SC_(-7.1520124896560809131726883061795792563693e-01) }}, 
+      {{ SC_(3.2589178085327148437500000000000000000000e+00), SC_(-7.2663709244263817401414242437628248351839e-01), SC_(-6.8702149594209125055751180411261051580649e-01) }}, 
+      {{ SC_(3.3070068359375000000000000000000000000000e+00), SC_(-8.2175864645735172534612332054328975554008e-01), SC_(-5.6983570173566802821049780901183552862792e-01) }}, 
+      {{ SC_(3.3258838653564453125000000000000000000000e+00), SC_(-8.5408772066117639250002441486943704634544e-01), SC_(-5.2012898920921176087604522292013122428088e-01) }}, 
+      {{ SC_(3.3375492095947265625000000000000000000000e+00), SC_(-8.7257153578052091358315534289731125877922e-01), SC_(-4.8848635082837587004720613584405617142606e-01) }}, 
+      {{ SC_(3.3669977188110351562500000000000000000000e+00), SC_(-9.1396798220297561033487383312195293377728e-01), SC_(-4.0578630768893774739693190146836884794326e-01) }}, 
+      {{ SC_(3.4341087341308593750000000000000000000000e+00), SC_(-9.7865116955588442390300932302401182353872e-01), SC_(-2.0552831514635533577558252681957801819126e-01) }}, 
+      {{ SC_(3.4719457626342773437500000000000000000000e+00), SC_(-9.9611862556712482137384040772481006307913e-01), SC_(-8.8020928183371141600457936465291857450722e-02) }}, 
+      {{ SC_(3.4720849990844726562500000000000000000000e+00), SC_(-9.9615703275215020366558951270835450836767e-01), SC_(-8.7585193374402881607363783226196334139273e-02) }}, 
+      {{ SC_(3.5205917358398437500000000000000000000000e+00), SC_(-9.9790827684402469941929089861198503088668e-01), SC_(6.4645734632606333231408358461321085923473e-02) }}, 
+      {{ SC_(3.6017761230468750000000000000000000000000e+00), SC_(-9.4931744975485974001547195314422483338195e-01), SC_(3.1431891382945658324672056757940637855560e-01) }}, 
+      {{ SC_(3.6401405334472656250000000000000000000000e+00), SC_(-9.0463898322145714242894381928150807960181e-01), SC_(4.2617873015443671099809962769068440492845e-01) }}, 
+      {{ SC_(3.6573352813720703125000000000000000000000e+00), SC_(-8.8030890857630174758369213697721090228597e-01), SC_(4.7440091218419933754908503670548458480608e-01) }}, 
+      {{ SC_(3.6600542068481445312500000000000000000000e+00), SC_(-8.7622462669288746421939513920418821059507e-01), SC_(4.8190289849399121987063030800400737550306e-01) }}, 
+      {{ SC_(3.6743307113647460937500000000000000000000e+00), SC_(-8.5373690109536976936966210865941858472063e-01), SC_(5.2070462232255516658865250812898441468120e-01) }}, 
+      {{ SC_(3.6759395599365234375000000000000000000000e+00), SC_(-8.5109418559293582989264089230338154739944e-01), SC_(5.2501303531426465035302709741556823160457e-01) }}, 
+      {{ SC_(3.6779518127441406250000000000000000000000e+00), SC_(-8.4775823766338649388282137669646806530795e-01), SC_(5.3038285273363532972430422102518080779833e-01) }}, 
+      {{ SC_(3.7191076278686523437500000000000000000000e+00), SC_(-7.7229721139647358113807359437680820809513e-01), SC_(6.3526137712695126271658979722161374772548e-01) }}, 
+      {{ SC_(3.7197303771972656250000000000000000000000e+00), SC_(-7.7105289310908725572881798363458383569997e-01), SC_(6.3677110175329601145198110228336758429305e-01) }}, 
+      {{ SC_(3.7415590286254882812500000000000000000000e+00), SC_(-7.2560709999357252492032097752516068559035e-01), SC_(6.8810924745923713178558423965711944178988e-01) }}, 
+      {{ SC_(3.7509422302246093750000000000000000000000e+00), SC_(-7.0501057704102466691892843105783269928843e-01), SC_(7.0919678951633828078444575818375506502661e-01) }}, 
+      {{ SC_(3.7647418975830078125000000000000000000000e+00), SC_(-6.7361202403588387903950332613071875859902e-01), SC_(7.3908513790650654594303944610931020837681e-01) }}, 
+      {{ SC_(3.8488769531250000000000000000000000000000e+00), SC_(-4.5713127745715697303348813361224351474208e-01), SC_(8.8939923272419555705330444258023019744461e-01) }}, 
+      {{ SC_(3.8996763229370117187500000000000000000000e+00), SC_(-3.0998392718517287188809579093624249170750e-01), SC_(9.5074179717042915066727903436561012864445e-01) }}, 
+      {{ SC_(3.9081726074218750000000000000000000000000e+00), SC_(-2.8449945044851010534076472484154609631230e-01), SC_(9.5867620325868929081685950779266605717363e-01) }}, 
+      {{ SC_(3.9430503845214843750000000000000000000000e+00), SC_(-1.7795953146963244992533370940904044176079e-01), SC_(9.8403780677325040351109357253557270668483e-01) }}, 
+      {{ SC_(3.9525480270385742187500000000000000000000e+00), SC_(-1.4852322763418675969604894254451481003482e-01), SC_(9.8890891939203558912519717829149622171011e-01) }}, 
+      {{ SC_(3.9716901779174804687500000000000000000000e+00), SC_(-8.8820726269070577371479191303757464259147e-02), SC_(9.9604762867296402989876530880328911976327e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/trig_data2.ipp b/src/boost/libs/math/test/trig_data2.ipp
new file mode 100644
index 00000000..5cbdc2d2
--- /dev/null
+++ b/src/boost/libs/math/test/trig_data2.ipp
@@ -0,0 +1,160 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 148> trig_data2 = {{
+      {{ SC_(-1.9999995231628417968750000000000000000000e+00), SC_(1.4980281131690112288542788461553611206918e-06), SC_(9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(-1.9999985694885253906250000000000000000000e+00), SC_(4.4940843394935868575478645466191072371308e-06), SC_(9.9999999998990160297470825676169589344081e-01) }}, 
+      {{ SC_(-1.9999966621398925781250000000000000000000e+00), SC_(1.0486196791994822995771188961609302512444e-05), SC_(9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(-1.9999957084655761718750000000000000000000e+00), SC_(1.3482253018117696189242608854023945230621e-05), SC_(9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(-1.9999852180480957031250000000000000000000e+00), SC_(4.6438871491565280117698474932339407631997e-05), SC_(9.9999999892171560671359413131460719431659e-01) }}, 
+      {{ SC_(-1.9999709129333496093750000000000000000000e+00), SC_(9.1379714776169916676504893028080336305096e-05), SC_(9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(-1.9999628067016601562500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(-1.9999003410339355468750000000000000000000e+00), SC_(3.1308787053741855117950880780497680759570e-04), SC_(9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(-1.9998402595520019531250000000000000000000e+00), SC_(5.0183939684769924809171253847476904900975e-04), SC_(9.9999987407860195766947052118236852970333e-01) }}, 
+      {{ SC_(-1.9997320175170898437500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(-1.9992446899414062500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(-1.9987516403198242187500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(-1.9976792335510253906250000000000000000000e+00), SC_(7.2908382328935566307435101112900335063237e-03), SC_(9.9997342148572217817205233668312377823042e-01) }}, 
+      {{ SC_(-1.9939575195312500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(-1.9844307899475097656250000000000000000000e+00), SC_(4.8892615404945346627001407931204211546893e-02), SC_(9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(-1.9694142341613769531250000000000000000000e+00), SC_(9.5940223552297220176859818946140456738044e-02), SC_(9.9538709731678521178505835566419054715492e-01) }}, 
+      {{ SC_(-1.9376106262207031250000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(-1.8771944046020507812500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(-1.7540383338928222656250000000000000000000e+00), SC_(6.9807919407529171997035782798891723621393e-01), SC_(7.1602055752554423261801142921491759740208e-01) }}, 
+      {{ SC_(-1.7105970382690429687500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(-1.4999995231628417968750000000000000000000e+00), SC_(9.9999999999887795588607701655175253650385e-01), SC_(-1.4980281131690112288542788461553611206918e-06) }}, 
+      {{ SC_(-1.4999985694885253906250000000000000000000e+00), SC_(9.9999999998990160297470825676169589344081e-01), SC_(-4.4940843394935868575478645466191072371308e-06) }}, 
+      {{ SC_(-1.4999966621398925781250000000000000000000e+00), SC_(9.9999999994501983841826733236935959894956e-01), SC_(-1.0486196791994822995771188961609302512444e-05) }}, 
+      {{ SC_(-1.4999957084655761718750000000000000000000e+00), SC_(9.9999999990911442677359804232502397526992e-01), SC_(-1.3482253018117696189242608854023945230621e-05) }}, 
+      {{ SC_(-1.4999852180480957031250000000000000000000e+00), SC_(9.9999999892171560671359413131460719431659e-01), SC_(-4.6438871491565280117698474932339407631997e-05) }}, 
+      {{ SC_(-1.4999709129333496093750000000000000000000e+00), SC_(9.9999999582487385499707753413380040254131e-01), SC_(-9.1379714776169916676504893028080336305096e-05) }}, 
+      {{ SC_(-1.4999628067016601562500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(-1.4999003410339355468750000000000000000000e+00), SC_(9.9999995098799146008382980990445170109932e-01), SC_(-3.1308787053741855117950880780497680759570e-04) }}, 
+      {{ SC_(-1.4998402595520019531250000000000000000000e+00), SC_(9.9999987407860195766947052118236852970333e-01), SC_(-5.0183939684769924809171253847476904900975e-04) }}, 
+      {{ SC_(-1.4997320175170898437500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(-1.4992446899414062500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(-1.4987516403198242187500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(-1.4976792335510253906250000000000000000000e+00), SC_(9.9997342148572217817205233668312377823042e-01), SC_(-7.2908382328935566307435101112900335063237e-03) }}, 
+      {{ SC_(-1.4939575195312500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(-1.4844307899475097656250000000000000000000e+00), SC_(9.9880404092037197813676426019506317879923e-01), SC_(-4.8892615404945346627001407931204211546893e-02) }}, 
+      {{ SC_(-1.4694142341613769531250000000000000000000e+00), SC_(9.9538709731678521178505835566419054715492e-01), SC_(-9.5940223552297220176859818946140456738044e-02) }}, 
+      {{ SC_(-1.4376106262207031250000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(-1.3771944046020507812500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(-1.2540383338928222656250000000000000000000e+00), SC_(7.1602055752554423261801142921491759740208e-01), SC_(-6.9807919407529171997035782798891723621393e-01) }}, 
+      {{ SC_(-1.2105970382690429687500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(-1.1370806694030761718750000000000000000000e+00), SC_(4.1746301773122492119427397853204125415748e-01), SC_(-9.0869391371723129146579397894656016506109e-01) }}, 
+      {{ SC_(-9.9999976158142089843750000000000000000000e-01), SC_(-7.4901405658471572113049856673065563715596e-07), SC_(-9.9999999999971948897151921479471958445202e-01) }}, 
+      {{ SC_(-9.9999952316284179687500000000000000000000e-01), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(-9.9999833106994628906250000000000000000000e-01), SC_(-5.2430983960694780971372955823540956317309e-06), SC_(-9.9999999998625495960447237002460255656405e-01) }}, 
+      {{ SC_(-9.9999666213989257812500000000000000000000e-01), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(-9.9999570846557617187500000000000000000000e-01), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(-9.9998497962951660156250000000000000000000e-01), SC_(-4.7187885547329319055657947640681604270190e-05), SC_(-9.9999999888665172816630219829107169151373e-01) }}, 
+      {{ SC_(-9.9997091293334960937500000000000000000000e-01), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(-9.9996280670166015625000000000000000000000e-01), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(-9.9990034103393554687500000000000000000000e-01), SC_(-3.1308787053741855117950880780497680759570e-04), SC_(-9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(-9.9984049797058105468750000000000000000000e-01), SC_(-5.0109038288529065804374478551472874530555e-04), SC_(-9.9999987445420620906323428975050136718796e-01) }}, 
+      {{ SC_(-9.9973201751708984375000000000000000000000e-01), SC_(-8.4189170014837154687588880235168421682168e-04), SC_(-9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(-9.9924468994140625000000000000000000000000e-01), SC_(-2.3728743044973247838253172935228172467424e-03), SC_(-9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(-9.9875164031982421875000000000000000000000e-01), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(-9.9767899513244628906250000000000000000000e-01), SC_(-7.2915872270404153887073312687679308998549e-03), SC_(-9.9997341602450135387659472378982173884007e-01) }}, 
+      {{ SC_(-9.9395751953125000000000000000000000000000e-01), SC_(-1.8981872167508178357172130364879478736824e-02), SC_(-9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(-9.8443078994750976562500000000000000000000e-01), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(-9.6941399574279785156250000000000000000000e-01), SC_(-9.5940969111197941216571259124451089062976e-02), SC_(-9.9538702545592996217602751881533829549808e-01) }}, 
+      {{ SC_(-9.3761062622070312500000000000000000000000e-01), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(-8.7719464302062988281250000000000000000000e-01), SC_(-3.7630453859252822903265212796461262419442e-01), SC_(-9.2649603033939893545876174372382758963708e-01) }}, 
+      {{ SC_(-7.5403809547424316406250000000000000000000e-01), SC_(-6.9807973038455829131535264868499063685839e-01), SC_(-7.1602003465421440923170662542985439906727e-01) }}, 
+      {{ SC_(-7.1059679985046386718750000000000000000000e-01), SC_(-7.8900448357357190506916947609555659455861e-01), SC_(-6.1438743875570983374750220189262336594174e-01) }}, 
+      {{ SC_(-6.3708066940307617187500000000000000000000e-01), SC_(-9.0869391371723129146579397894656016506109e-01), SC_(-4.1746301773122492119427397853204125415748e-01) }}, 
+      {{ SC_(-1.3708055019378662109375000000000000000000e-01), SC_(-4.1746267741893839183276264415132105419314e-01), SC_(9.0869407006000175929162295142108224164498e-01) }}, 
+      {{ SC_(1.0000004768371582031250000000000000000000e+00), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(1.0000014305114746093750000000000000000000e+00), SC_(-4.4940843394935868575478645466191072371308e-06), SC_(-9.9999999998990160297470825676169589344081e-01) }}, 
+      {{ SC_(1.0000033378601074218750000000000000000000e+00), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(1.0000042915344238281250000000000000000000e+00), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(1.0000147819519042968750000000000000000000e+00), SC_(-4.6438871491565280117698474932339407631997e-05), SC_(-9.9999999892171560671359413131460719431659e-01) }}, 
+      {{ SC_(1.0000290870666503906250000000000000000000e+00), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(1.0000371932983398437500000000000000000000e+00), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(1.0000996589660644531250000000000000000000e+00), SC_(-3.1308787053741855117950880780497680759570e-04), SC_(-9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(1.0001597404479980468750000000000000000000e+00), SC_(-5.0183939684769924809171253847476904900975e-04), SC_(-9.9999987407860195766947052118236852970333e-01) }}, 
+      {{ SC_(1.0002679824829101562500000000000000000000e+00), SC_(-8.4189170014837154687588880235168421682168e-04), SC_(-9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(1.0007553100585937500000000000000000000000e+00), SC_(-2.3728743044973247838253172935228172467424e-03), SC_(-9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(1.0012483596801757812500000000000000000000e+00), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(1.0023207664489746093750000000000000000000e+00), SC_(-7.2908382328935566307435101112900335063237e-03), SC_(-9.9997342148572217817205233668312377823042e-01) }}, 
+      {{ SC_(1.0060424804687500000000000000000000000000e+00), SC_(-1.8981872167508178357172130364879478736824e-02), SC_(-9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(1.0155692100524902343750000000000000000000e+00), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(1.0305857658386230468750000000000000000000e+00), SC_(-9.5940223552297220176859818946140456738044e-02), SC_(-9.9538709731678521178505835566419054715492e-01) }}, 
+      {{ SC_(1.0623893737792968750000000000000000000000e+00), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(1.1228055953979492187500000000000000000000e+00), SC_(-3.7630523255097276560855730503841419331357e-01), SC_(-9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(1.2459616661071777343750000000000000000000e+00), SC_(-6.9807919407529171997035782798891723621393e-01), SC_(-7.1602055752554423261801142921491759740208e-01) }}, 
+      {{ SC_(1.2894029617309570312500000000000000000000e+00), SC_(-7.8900402338852276350219626277702904546800e-01), SC_(-6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(1.5000004768371582031250000000000000000000e+00), SC_(-9.9999999999887795588607701655175253650385e-01), SC_(1.4980281131690112288542788461553611206918e-06) }}, 
+      {{ SC_(1.5000014305114746093750000000000000000000e+00), SC_(-9.9999999998990160297470825676169589344081e-01), SC_(4.4940843394935868575478645466191072371308e-06) }}, 
+      {{ SC_(1.5000033378601074218750000000000000000000e+00), SC_(-9.9999999994501983841826733236935959894956e-01), SC_(1.0486196791994822995771188961609302512444e-05) }}, 
+      {{ SC_(1.5000042915344238281250000000000000000000e+00), SC_(-9.9999999990911442677359804232502397526992e-01), SC_(1.3482253018117696189242608854023945230621e-05) }}, 
+      {{ SC_(1.5000147819519042968750000000000000000000e+00), SC_(-9.9999999892171560671359413131460719431659e-01), SC_(4.6438871491565280117698474932339407631997e-05) }}, 
+      {{ SC_(1.5000290870666503906250000000000000000000e+00), SC_(-9.9999999582487385499707753413380040254131e-01), SC_(9.1379714776169916676504893028080336305096e-05) }}, 
+      {{ SC_(1.5000371932983398437500000000000000000000e+00), SC_(-9.9999999317348361865817975703384517397171e-01), SC_(1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(1.5000996589660644531250000000000000000000e+00), SC_(-9.9999995098799146008382980990445170109932e-01), SC_(3.1308787053741855117950880780497680759570e-04) }}, 
+      {{ SC_(1.5001597404479980468750000000000000000000e+00), SC_(-9.9999987407860195766947052118236852970333e-01), SC_(5.0183939684769924809171253847476904900975e-04) }}, 
+      {{ SC_(1.5002679824829101562500000000000000000000e+00), SC_(-9.9999964560911981419424672295679903989178e-01), SC_(8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(1.5007553100585937500000000000000000000000e+00), SC_(-9.9999718472980465503219274828524949063826e-01), SC_(2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(1.5012483596801757812500000000000000000000e+00), SC_(-9.9999230960477557309064944107279076437187e-01), SC_(3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(1.5023207664489746093750000000000000000000e+00), SC_(-9.9997342148572217817205233668312377823042e-01), SC_(7.2908382328935566307435101112900335063237e-03) }}, 
+      {{ SC_(1.5060424804687500000000000000000000000000e+00), SC_(-9.9981982803353944005287225251112677857740e-01), SC_(1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(1.5155692100524902343750000000000000000000e+00), SC_(-9.9880404092037197813676426019506317879923e-01), SC_(4.8892615404945346627001407931204211546893e-02) }}, 
+      {{ SC_(1.5305857658386230468750000000000000000000e+00), SC_(-9.9538709731678521178505835566419054715492e-01), SC_(9.5940223552297220176859818946140456738044e-02) }}, 
+      {{ SC_(1.5623893737792968750000000000000000000000e+00), SC_(-9.8085302335197751084221022090414475952815e-01), SC_(1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(1.6228055953979492187500000000000000000000e+00), SC_(-9.2649574848175008067512810410200333264846e-01), SC_(3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(1.7459616661071777343750000000000000000000e+00), SC_(-7.1602055752554423261801142921491759740208e-01), SC_(6.9807919407529171997035782798891723621393e-01) }}, 
+      {{ SC_(1.7894029617309570312500000000000000000000e+00), SC_(-6.1438802973098639626496377371872238232214e-01), SC_(7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(1.8629193305969238281250000000000000000000e+00), SC_(-4.1746301773122492119427397853204125415748e-01), SC_(9.0869391371723129146579397894656016506109e-01) }}, 
+      {{ SC_(2.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) }}, 
+      {{ SC_(2.0000019073486328125000000000000000000000e+00), SC_(5.9921124526424278428797118088908617299872e-06), SC_(9.9999999998204729417728262414778410737964e-01) }}, 
+      {{ SC_(2.0000028610229492187500000000000000000000e+00), SC_(8.9881686788964076192450246007437023043257e-06), SC_(9.9999999995960641189903698229174441602069e-01) }}, 
+      {{ SC_(2.0000038146972656250000000000000000000000e+00), SC_(1.1984224905069706421521561596988984804732e-05), SC_(9.9999999992818917670977509588385049026048e-01) }}, 
+      {{ SC_(2.0000143051147460937500000000000000000000e+00), SC_(4.4940843379959462761564286047113411974000e-05), SC_(9.9999999899016029763908875325140940739113e-01) }}, 
+      {{ SC_(2.0000286102294921875000000000000000000000e+00), SC_(8.9881686669152829717795387171401845170856e-05), SC_(9.9999999596064119259590746193438526128523e-01) }}, 
+      {{ SC_(2.0000371932983398437500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(2.0000991821289062500000000000000000000000e+00), SC_(3.1158984249731960822405142280490373395657e-04), SC_(9.9999995145588384798217323600349215222192e-01) }}, 
+      {{ SC_(2.0001592636108398437500000000000000000000e+00), SC_(5.0034136892260094523844706589235605397421e-04), SC_(9.9999987482924943847047044738353787252112e-01) }}, 
+      {{ SC_(2.0002679824829101562500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(2.0007553100585937500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(2.0012483596801757812500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(2.0023202896118164062500000000000000000000e+00), SC_(7.2893402445875685718309310011223138924629e-03), SC_(9.9997343240648080532241755401327069531063e-01) }}, 
+      {{ SC_(2.0060424804687500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(2.0155687332153320312500000000000000000000e+00), SC_(4.8891119168357641426955981953471866397804e-02), SC_(9.9880411416176367891009655338470382368524e-01) }}, 
+      {{ SC_(2.0305852890014648437500000000000000000000e+00), SC_(9.5938732434334304771023968784410054299194e-02), SC_(9.9538724103682040861237580872061890490118e-01) }}, 
+      {{ SC_(2.0623893737792968750000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(2.1228055953979492187500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(2.2459611892700195312500000000000000000000e+00), SC_(6.9807812145558366410510314778327047985312e-01), SC_(7.1602160326699876911924965932760594412897e-01) }}, 
+      {{ SC_(2.2894029617309570312500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(2.3629188537597656250000000000000000000000e+00), SC_(9.0869328834487492706020241698554993000928e-01), SC_(4.1746437897978552326073028034696674963028e-01) }}, 
+      {{ SC_(2.5000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00) }}, 
+      {{ SC_(2.5000019073486328125000000000000000000000e+00), SC_(9.9999999998204729417728262414778410737964e-01), SC_(-5.9921124526424278428797118088908617299872e-06) }}, 
+      {{ SC_(2.5000028610229492187500000000000000000000e+00), SC_(9.9999999995960641189903698229174441602069e-01), SC_(-8.9881686788964076192450246007437023043257e-06) }}, 
+      {{ SC_(2.5000038146972656250000000000000000000000e+00), SC_(9.9999999992818917670977509588385049026048e-01), SC_(-1.1984224905069706421521561596988984804732e-05) }}, 
+      {{ SC_(2.5000143051147460937500000000000000000000e+00), SC_(9.9999999899016029763908875325140940739113e-01), SC_(-4.4940843379959462761564286047113411974000e-05) }}, 
+      {{ SC_(2.5000286102294921875000000000000000000000e+00), SC_(9.9999999596064119259590746193438526128523e-01), SC_(-8.9881686669152829717795387171401845170856e-05) }}, 
+      {{ SC_(2.5000371932983398437500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(2.5000991821289062500000000000000000000000e+00), SC_(9.9999995145588384798217323600349215222192e-01), SC_(-3.1158984249731960822405142280490373395657e-04) }}, 
+      {{ SC_(2.5001592636108398437500000000000000000000e+00), SC_(9.9999987482924943847047044738353787252112e-01), SC_(-5.0034136892260094523844706589235605397421e-04) }}, 
+      {{ SC_(2.5002679824829101562500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(2.5007553100585937500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(2.5012483596801757812500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(2.5023202896118164062500000000000000000000e+00), SC_(9.9997343240648080532241755401327069531063e-01), SC_(-7.2893402445875685718309310011223138924629e-03) }}, 
+      {{ SC_(2.5060424804687500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(2.5155687332153320312500000000000000000000e+00), SC_(9.9880411416176367891009655338470382368524e-01), SC_(-4.8891119168357641426955981953471866397804e-02) }}, 
+      {{ SC_(2.5305852890014648437500000000000000000000e+00), SC_(9.9538724103682040861237580872061890490118e-01), SC_(-9.5938732434334304771023968784410054299194e-02) }}, 
+      {{ SC_(2.5623893737792968750000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(2.6228055953979492187500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(2.7459611892700195312500000000000000000000e+00), SC_(7.1602160326699876911924965932760594412897e-01), SC_(-6.9807812145558366410510314778327047985312e-01) }}, 
+      {{ SC_(2.7894029617309570312500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(2.8629188537597656250000000000000000000000e+00), SC_(4.1746437897978552326073028034696674963028e-01), SC_(-9.0869328834487492706020241698554993000928e-01) }}, 
+      {{ SC_(3.3629188537597656250000000000000000000000e+00), SC_(-9.0869328834487492706020241698554993000928e-01), SC_(-4.1746437897978552326073028034696674963028e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/univariate_statistics_test.cpp b/src/boost/libs/math/test/univariate_statistics_test.cpp
new file mode 100644
index 00000000..5cee9888
--- /dev/null
+++ b/src/boost/libs/math/test/univariate_statistics_test.cpp
@@ -0,0 +1,794 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+ // To stress test, set global_seed = 0, global_size = huge.
+ static const constexpr size_t global_seed = 0;
+ static const constexpr size_t global_size = 128;
+
+template<class T>
+std::vector<T> generate_random_vector(size_t size, size_t seed)
+{
+    if (seed == 0)
+    {
+        std::random_device rd;
+        seed = rd();
+    }
+    std::vector<T> v(size);
+
+    std::mt19937 gen(seed);
+
+    if constexpr (std::is_floating_point<T>::value)
+    {
+        std::normal_distribution<T> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+         v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (std::is_integral<T>::value)
+    {
+        // Rescaling by larger than 2 is UB!
+        std::uniform_int_distribution<T> dis(std::numeric_limits<T>::lowest()/2, (std::numeric_limits<T>::max)()/2);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+         v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (boost::is_complex<T>::value)
+    {
+        std::normal_distribution<typename T::value_type> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_complex)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_floating_point)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else
+    {
+        BOOST_ASSERT_MSG(false, "Could not identify type for random vector generation.");
+        return v;
+    }
+}
+
+
+template<class Z>
+void test_integer_mean()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,2,3,4,5};
+    double mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Work with std::array?
+    std::array<Z, 5> w{1,2,3,4,5};
+    mu = boost::math::statistics::mean(w);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+
+    double m1 = scale*boost::math::statistics::mean(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class RandomAccessContainer>
+auto naive_mean(RandomAccessContainer const & v)
+{
+    typename RandomAccessContainer::value_type sum = 0;
+    for (auto & x : v)
+    {
+        sum += x;
+    }
+    return sum/v.size();
+}
+
+template<class Real>
+void test_mean()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,2,3,4,5};
+    Real mu = boost::math::statistics::mean(v.begin(), v.end());
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Does range call work?
+    mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Can we successfully average only part of the vector?
+    mu = boost::math::statistics::mean(v.begin(), v.begin() + 3);
+    BOOST_TEST(abs(mu - 2) < tol);
+
+    // Does it work when we const qualify?
+    mu = boost::math::statistics::mean(v.cbegin(), v.cend());
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Does it work for std::array?
+    std::array<Real, 7> u{1,2,3,4,5,6,7};
+    mu = boost::math::statistics::mean(u.begin(), u.end());
+    BOOST_TEST(abs(mu - 4) < tol);
+
+    // Does it work for a forward iterator?
+    std::forward_list<Real> l{1,2,3,4,5,6,7};
+    mu = boost::math::statistics::mean(l.begin(), l.end());
+    BOOST_TEST(abs(mu - 4) < tol);
+
+    // Does it work with ublas vectors?
+    boost::numeric::ublas::vector<Real> w(7);
+    for (size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = i+1;
+    }
+    mu = boost::math::statistics::mean(w.cbegin(), w.cend());
+    BOOST_TEST(abs(mu - 4) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = scale*boost::math::statistics::mean(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // Stress test:
+    for (size_t i = 1; i < 30; ++i)
+    {
+        v = generate_random_vector<Real>(i, 12803);
+        auto naive_ = naive_mean(v);
+        auto higham_ = boost::math::statistics::mean(v);
+        if (abs(higham_ - naive_) >= 100*tol*abs(naive_))
+        {
+            std::cout << std::hexfloat;
+            std::cout << "Terms = " << v.size() << "\n";
+            std::cout << "higham = " << higham_ << "\n";
+            std::cout << "naive_ = " << naive_ << "\n";
+        }
+        BOOST_TEST(abs(higham_ - naive_) < 100*tol*abs(naive_));
+    }
+
+}
+
+template<class Complex>
+void test_complex_mean()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{0,1},{0,2},{0,3},{0,4},{0,5}};
+    auto mu = boost::math::statistics::mean(v.begin(), v.end());
+    BOOST_TEST(abs(mu.imag() - 3) < tol);
+    BOOST_TEST(abs(mu.real()) < tol);
+
+    // Does range work?
+    mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu.imag() - 3) < tol);
+    BOOST_TEST(abs(mu.real()) < tol);
+}
+
+template<class Real>
+void test_variance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1,1,1};
+    Real sigma_sq = boost::math::statistics::variance(v.begin(), v.end());
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    sigma_sq = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    Real s_sq = boost::math::statistics::sample_variance(v);
+    BOOST_TEST(abs(s_sq) < tol);
+
+    std::vector<Real> u{1};
+    sigma_sq = boost::math::statistics::variance(u.cbegin(), u.cend());
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    std::array<Real, 8> w{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(w.begin(), w.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    sigma_sq = boost::math::statistics::variance(w);
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    std::forward_list<Real> l{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(l.begin(), l.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = scale*scale*boost::math::statistics::variance(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // Wikipedia example for a variance of N sided die:
+    // https://en.wikipedia.org/wiki/Variance
+    for (size_t j = 16; j < 2048; j *= 2)
+    {
+        v.resize(1024);
+        Real n = v.size();
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = i + 1;
+        }
+
+        sigma_sq = boost::math::statistics::variance(v);
+
+        BOOST_TEST(abs(sigma_sq - (n*n-1)/Real(12)) <= tol*sigma_sq);
+    }
+
+}
+
+template<class Z>
+void test_integer_variance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1,1,1};
+    double sigma_sq = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    std::forward_list<Z> l{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(l.begin(), l.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = scale*scale*boost::math::statistics::variance(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Z>
+void test_integer_skewness()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    double skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    // Dataset is symmetric about the mean:
+    v = {1,2,3,4,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - 3.0/2.0) < tol);
+
+    std::forward_list<Z> v2{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - 3.0/2.0) < tol);
+
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = boost::math::statistics::skewness(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+}
+
+template<class Real>
+void test_skewness()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    // Dataset is symmetric about the mean:
+    v = {1,2,3,4,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    std::array<Real, 5> w1{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(w1);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    std::forward_list<Real> w2{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(w2);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = boost::math::statistics::skewness(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Real>
+void test_kurtosis()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt) < tol);
+
+    v = {1,2,3,4,5};
+    // mu =1, sigma^2 = 2, kurtosis = 17/10
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - Real(17)/Real(10)) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2, kurtosis = 13/4
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::array<Real, 5> v1{0,0,0,0,5};
+    kurt = boost::math::statistics::kurtosis(v1);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::forward_list<Real> v2{0,0,0,0,5};
+    kurt = boost::math::statistics::kurtosis(v2);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::vector<Real> v3(10000);
+    std::mt19937 gen(42);
+    std::normal_distribution<long double> dis(0, 1);
+    for (size_t i = 0; i < v3.size(); ++i) {
+        v3[i] = dis(gen);
+    }
+    kurt = boost::math::statistics::kurtosis(v3);
+    BOOST_TEST(abs(kurt - 3) < 0.1);
+
+    std::uniform_real_distribution<long double> udis(-1, 3);
+    for (size_t i = 0; i < v3.size(); ++i) {
+        v3[i] = udis(gen);
+    }
+    auto excess_kurtosis = boost::math::statistics::excess_kurtosis(v3);
+    BOOST_TEST(abs(excess_kurtosis + 6.0/5.0) < 0.2);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = boost::math::statistics::kurtosis(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // This test only passes when there are a large number of samples.
+    // Otherwise, the distribution doesn't generate enough outliers to give,
+    // or generates too many, giving pretty wildly different values of kurtosis on different runs.
+    // However, by kicking up the samples to 1,000,000, I got very close to 6 for the excess kurtosis on every run.
+    // The CI system, however, would die on a million long doubles.
+    //v3.resize(1000000);
+    //std::exponential_distribution<long double> edis(0.1);
+    //for (size_t i = 0; i < v3.size(); ++i) {
+    //    v3[i] = edis(gen);
+    //}
+    //excess_kurtosis = boost::math::statistics::kurtosis(v3) - 3;
+    //BOOST_TEST(abs(excess_kurtosis - 6.0) < 0.2);
+}
+
+template<class Z>
+void test_integer_kurtosis()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    double kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt) < tol);
+
+    v = {1,2,3,4,5};
+    // mu =1, sigma^2 = 2, kurtosis = 17/10
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - 17.0/10.0) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2, kurtosis = 13/4
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - 13.0/4.0) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = boost::math::statistics::kurtosis(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Real>
+void test_first_four_moments()
+{
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    auto [M1_1, M2_1, M3_1, M4_1] = boost::math::statistics::first_four_moments(v);
+    BOOST_TEST(abs(M1_1 - 1) < tol);
+    BOOST_TEST(abs(M2_1) < tol);
+    BOOST_TEST(abs(M3_1) < tol);
+    BOOST_TEST(abs(M4_1) < tol);
+
+    v = {1, 2, 3, 4, 5};
+    auto [M1_2, M2_2, M3_2, M4_2] = boost::math::statistics::first_four_moments(v);
+    BOOST_TEST(abs(M1_2 - 3) < tol);
+    BOOST_TEST(abs(M2_2 - 2) < tol);
+    BOOST_TEST(abs(M3_2) < tol);
+    BOOST_TEST(abs(M4_2 - Real(34)/Real(5)) < tol);
+}
+
+template<class Real>
+void test_median()
+{
+    std::mt19937 g(12);
+    std::vector<Real> v{1,2,3,4,5,6,7};
+
+    Real m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 4);
+
+    std::shuffle(v.begin(), v.end(), g);
+    // Does range call work?
+    m = boost::math::statistics::median(v);
+    BOOST_TEST_EQ(m, 4);
+
+    v = {1,2,3,3,4,5};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1,1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {2,4};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1,1,1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1,2,3};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 2);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 2);
+
+    // Does it work with std::array?
+    std::array<Real, 3> w{1,2,3};
+    m = boost::math::statistics::median(w);
+    BOOST_TEST_EQ(m, 2);
+
+    // Does it work with ublas?
+    boost::numeric::ublas::vector<Real> w1(3);
+    w1[0] = 1;
+    w1[1] = 2;
+    w1[2] = 3;
+    m = boost::math::statistics::median(w);
+    BOOST_TEST_EQ(m, 2);
+}
+
+template<class Real>
+void test_median_absolute_deviation()
+{
+    std::vector<Real> v{-1, 2, -3, 4, -5, 6, -7};
+
+    Real m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 4);
+
+    std::mt19937 g(12);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v, 0);
+    BOOST_TEST_EQ(m, 4);
+
+    v = {1, -2, -3, 3, -4, -5};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+
+    v = {-1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+
+    v = {-1, 1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+    // The median is zero, so coincides with the default:
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    m = boost::math::statistics::median_absolute_deviation(v);
+    BOOST_TEST_EQ(m, 1);
+
+
+    v = {2, -4};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1, -1, 1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1, 2, -3};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 2);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 2);
+
+    std::array<Real, 3> w{1, 2, -3};
+    m = boost::math::statistics::median_absolute_deviation(w, 0);
+    BOOST_TEST_EQ(m, 2);
+
+    // boost.ublas vector?
+    boost::numeric::ublas::vector<Real> u(6);
+    u[0] = 1;
+    u[1] = 2;
+    u[2] = -3;
+    u[3] = 1;
+    u[4] = 2;
+    u[5] = -3;
+    m = boost::math::statistics::median_absolute_deviation(u, 0);
+    BOOST_TEST_EQ(m, 2);
+}
+
+
+template<class Real>
+void test_sample_gini_coefficient()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    gini = boost::math::statistics::sample_gini_coefficient(v);
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Real, 3> w{0,0,0};
+    gini = boost::math::statistics::sample_gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+}
+
+
+template<class Real>
+void test_gini_coefficient()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    Real expected = Real(2)/Real(3);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Real, 3> w{0,0,0};
+    gini = boost::math::statistics::gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+
+    boost::numeric::ublas::vector<Real> w1(3);
+    w1[0] = 1;
+    w1[1] = 1;
+    w1[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(w1);
+    BOOST_TEST(abs(gini) < tol);
+
+    std::mt19937 gen(18);
+    // Gini coefficient for a uniform distribution is (b-a)/(3*(b+a));
+    std::uniform_real_distribution<long double> dis(0, 3);
+    expected = (dis.b() - dis.a())/(3*(dis.b()+ dis.a()));
+    v.resize(1024);
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = dis(gen);
+    }
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < 0.01);
+
+}
+
+template<class Z>
+void test_integer_gini_coefficient()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,0,0};
+    double gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    double expected = 2.0/3.0;
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Z, 3> w{0,0,0};
+    gini = boost::math::statistics::gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+
+    boost::numeric::ublas::vector<Z> w1(3);
+    w1[0] = 1;
+    w1[1] = 1;
+    w1[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(w1);
+    BOOST_TEST(abs(gini) < tol);
+}
+
+int main()
+{
+    test_mean<float>();
+    test_mean<double>();
+    test_mean<long double>();
+    test_mean<cpp_bin_float_50>();
+
+    test_integer_mean<unsigned>();
+    test_integer_mean<int>();
+
+    test_complex_mean<std::complex<float>>();
+    test_complex_mean<cpp_complex_50>();
+
+    test_variance<float>();
+    test_variance<double>();
+    test_variance<long double>();
+    test_variance<cpp_bin_float_50>();
+
+    test_integer_variance<int>();
+    test_integer_variance<unsigned>();
+
+    test_skewness<float>();
+    test_skewness<double>();
+    test_skewness<long double>();
+    test_skewness<cpp_bin_float_50>();
+
+    test_integer_skewness<int>();
+    test_integer_skewness<unsigned>();
+
+    test_first_four_moments<float>();
+    test_first_four_moments<double>();
+    test_first_four_moments<long double>();
+    test_first_four_moments<cpp_bin_float_50>();
+
+    test_kurtosis<float>();
+    test_kurtosis<double>();
+    test_kurtosis<long double>();
+    // Kinda expensive:
+    //test_kurtosis<cpp_bin_float_50>();
+
+    test_integer_kurtosis<int>();
+    test_integer_kurtosis<unsigned>();
+
+    test_median<float>();
+    test_median<double>();
+    test_median<long double>();
+    test_median<cpp_bin_float_50>();
+    test_median<int>();
+
+    test_median_absolute_deviation<float>();
+    test_median_absolute_deviation<double>();
+    test_median_absolute_deviation<long double>();
+    test_median_absolute_deviation<cpp_bin_float_50>();
+
+    test_gini_coefficient<float>();
+    test_gini_coefficient<double>();
+    test_gini_coefficient<long double>();
+    test_gini_coefficient<cpp_bin_float_50>();
+
+    test_integer_gini_coefficient<unsigned>();
+    test_integer_gini_coefficient<int>();
+
+    test_sample_gini_coefficient<float>();
+    test_sample_gini_coefficient<double>();
+    test_sample_gini_coefficient<long double>();
+    test_sample_gini_coefficient<cpp_bin_float_50>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/whittaker_shannon_test.cpp b/src/boost/libs/math/test/whittaker_shannon_test.cpp
new file mode 100644
index 00000000..7bf24647
--- /dev/null
+++ b/src/boost/libs/math/test/whittaker_shannon_test.cpp
@@ -0,0 +1,142 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/interpolators/whittaker_shannon.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using boost::math::interpolators::whittaker_shannon;
+
+template<class Real>
+void test_trivial()
+{
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    std::vector<Real> v{1.5};
+    std::vector<Real> v_copy = v;
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+
+    Real expected = 0;
+    if(!CHECK_MOLLIFIED_CLOSE(expected, ws.prime(0), 10*std::numeric_limits<Real>::epsilon())) {
+        std::cerr << "  Problem occured at abscissa " << 0 << "\n";
+    }
+
+    expected = -v_copy[0]/h;
+    if(!CHECK_MOLLIFIED_CLOSE(expected, ws.prime(h), 10*std::numeric_limits<Real>::epsilon())) {
+        std::cerr << "  Problem occured at abscissa " << 0 << "\n";
+    }
+}
+
+template<class Real>
+void test_knots()
+{
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> v(n);
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<Real> dis(1.0, 2.0);
+
+    for(size_t i = 0;  i < n; ++i) {
+      v[i] = static_cast<Real>(dis(gen));
+    }
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      Real expected = ws[i];
+      Real computed = ws(t);
+      CHECK_ULP_CLOSE(expected, computed, 16);
+      ++i;
+    }
+}
+
+template<class Real>
+void test_bump()
+{
+    using std::exp;
+    using std::abs;
+    using std::sqrt;
+    auto bump = [](Real x) { if (abs(x) >= 1) { return Real(0); } return exp(-Real(1)/(Real(1)-x*x)); };
+
+    auto bump_prime = [&bump](Real x) { Real z = 1-x*x; return -2*x*bump(x)/(z*z); };
+
+    Real t0 = -1;
+    size_t n = 2049;
+    Real h = Real(2)/Real(n-1);
+
+    std::vector<Real> v(n);
+    for(size_t i = 0; i < n; ++i) {
+        Real t = t0 + i*h;
+        v[i] = bump(t);
+    }
+
+
+    std::vector<Real> v_copy = v;
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+    // Test the knots:
+    for(size_t i = v_copy.size()/4; i < 3*v_copy.size()/4; ++i) {
+        Real t = t0 + i*h;
+        Real expected = v_copy[i];
+        Real computed = ws(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 10*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occured at abscissa " << t << "\n";
+        }
+
+        Real expected_prime = bump_prime(t);
+        Real computed_prime = ws.prime(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected_prime, computed_prime, 1000*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occured at abscissa " << t << "\n";
+        }
+
+    }
+
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<long double> dis(-0.85, 0.85);
+
+    size_t i = 0;
+    while (i++ < 1000)
+    {
+        Real t = static_cast<Real>(dis(gen));
+        Real expected = bump(t);
+        Real computed = ws(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 10*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occured at abscissa " << t << "\n";
+        }
+
+        Real expected_prime = bump_prime(t);
+        Real computed_prime = ws.prime(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected_prime, computed_prime, sqrt(std::numeric_limits<Real>::epsilon()))) {
+            std::cerr << "  Problem occured at abscissa " << t << "\n";
+        }
+    }
+}
+
+
+int main()
+{
+    test_knots<float>();
+    test_knots<double>();
+    test_knots<long double>();
+
+    test_bump<double>();
+    test_bump<long double>();
+
+    test_trivial<float>();
+    test_trivial<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/zeta_1_below_data.ipp b/src/boost/libs/math/test/zeta_1_below_data.ipp
new file mode 100644
index 00000000..b6041c1d
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_1_below_data.ipp
@@ -0,0 +1,31 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 24> zeta_1_below_data = {{
+      {{ SC_(0.02141654491424560546875), SC_(-0.5201506602793944998316548018699690797681) }}, 
+      {{ SC_(0.50472259521484375), SC_(-1.479059796502255763615575236860218694317) }}, 
+      {{ SC_(0.753675937652587890625), SC_(-3.500701844470537839375475836745309608254) }}, 
+      {{ SC_(0.892135083675384521484375), SC_(-8.701549551111914711016864206105707387913) }}, 
+      {{ SC_(0.963824570178985595703125), SC_(-27.06849649507583530629721672895651369373) }}, 
+      {{ SC_(0.969254791736602783203125), SC_(-31.95042124075855399021415469463730656365) }}, 
+      {{ SC_(0.98464930057525634765625), SC_(-64.56751477719026237096105864334609394117) }}, 
+      {{ SC_(0.992201328277587890625), SC_(-127.6503167276133070149448420866102648888) }}, 
+      {{ SC_(0.99617671966552734375), SC_(-260.9785629260130820484322508586172549118) }}, 
+      {{ SC_(0.998053848743438720703125), SC_(-513.2576018780070294737373079904789166413) }}, 
+      {{ SC_(0.99924468994140625), SC_(-1323.382435295998941597319533493165885945) }}, 
+      {{ SC_(0.9997098445892333984375), SC_(-3445.851729045998047072816129417437104917) }}, 
+      {{ SC_(0.99984395503997802734375), SC_(-6407.832268577823258975422770409768729774) }}, 
+      {{ SC_(0.99990558624267578125), SC_(-10591.09955888672689821582177914203224971) }}, 
+      {{ SC_(0.99996650218963623046875), SC_(-29852.12029567107244043543924323873276124) }}, 
+      {{ SC_(0.999980032444000244140625), SC_(-50080.66457683383099069439395050656417597) }}, 
+      {{ SC_(0.999987542629241943359375), SC_(-80273.18355079243243774478653269383556504) }}, 
+      {{ SC_(0.99999535083770751953125), SC_(-215091.9356051864517678048611890100788117) }}, 
+      {{ SC_(0.999996364116668701171875), SC_(-275035.7506534523074664329441741330074557) }}, 
+      {{ SC_(0.9999980926513671875), SC_(-524287.4227844739836880964361309795525948) }}, 
+      {{ SC_(0.999999463558197021484375), SC_(-1864134.533895485271043081470070250144498) }}, 
+      {{ SC_(0.999999582767486572265625), SC_(-2396744.56564150833674906851990450393092) }}, 
+      {{ SC_(0.9999997615814208984375), SC_(-4194303.422784352459117831107301957279448) }}, 
+      {{ SC_(0.999999940395355224609375), SC_(-16777215.42278433943862976068131370725545) }}
+   }};
diff --git a/src/boost/libs/math/test/zeta_1_up_data.ipp b/src/boost/libs/math/test/zeta_1_up_data.ipp
new file mode 100644
index 00000000..f4bd3a26
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_1_up_data.ipp
@@ -0,0 +1,32 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 24> zeta_1_up_data = {{
+      {{ SC_(1.00000011920928955078125), SC_(8388608.57721567358185799990090564625463) }}, 
+      {{ SC_(1.0000002384185791015625), SC_(4194304.577215682262183001486952251646755) }}, 
+      {{ SC_(1.000000476837158203125), SC_(2097152.577215699622832591533990692770612) }}, 
+      {{ SC_(1.00000059604644775390625), SC_(1677722.177215708303157179994975569843472) }}, 
+      {{ SC_(1.0000019073486328125), SC_(524288.577215803786718564313226471202153) }}, 
+      {{ SC_(1.00000369548797607421875), SC_(270600.8352804501205804024002567735033821) }}, 
+      {{ SC_(1.00000464916229248046875), SC_(215093.0900365162546240716837932060406643) }}, 
+      {{ SC_(1.00001239776611328125), SC_(80660.26952425996230208837588346956460766) }}, 
+      {{ SC_(1.00001990795135498046875), SC_(50231.76284585702889240460092067814586596) }}, 
+      {{ SC_(1.00003349781036376953125), SC_(29853.27472700086463256814366228500539722) }}, 
+      {{ SC_(1.00009441375732421875), SC_(10592.253990216443584450690925565465553) }}, 
+      {{ SC_(1.00015604496002197265625), SC_(6408.986699907390364066670889074476433249) }}, 
+      {{ SC_(1.0002901554107666015625), SC_(3447.006160374985279544507526117209600704) }}, 
+      {{ SC_(1.00075531005859375), SC_(1324.536866620273720254607350418328040857) }}, 
+      {{ SC_(1.0019462108612060546875), SC_(514.3962964770573413079586126451916678814) }}, 
+      {{ SC_(1.00382328033447265625), SC_(262.1329941141675715333591367272474762968) }}, 
+      {{ SC_(1.007798671722412109375), SC_(128.8047474680561710562008547158197319238) }}, 
+      {{ SC_(1.01535069942474365234375), SC_(65.72194382352840743913691516911618095535) }}, 
+      {{ SC_(1.0307452678680419921875), SC_(33.1047803593638190816111616860939640546) }}, 
+      {{ SC_(1.03617537021636962890625), SC_(28.22296068581747567698336482012316769919) }}, 
+      {{ SC_(1.10786497592926025390625), SC_(9.855863042654116305734265296224764929693) }}, 
+      {{ SC_(1.246324062347412109375), SC_(4.654545919478261756646025472315043204481) }}, 
+      {{ SC_(1.49527740478515625), SC_(2.631125733364186076058384433696635480314) }}, 
+      {{ SC_(1.97858345508575439453125), SC_(1.665479359458163559316085149303802250507) }}
+   }};
+
diff --git a/src/boost/libs/math/test/zeta_data.ipp b/src/boost/libs/math/test/zeta_data.ipp
new file mode 100644
index 00000000..921a7c86
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_data.ipp
@@ -0,0 +1,208 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> zeta_data = {{
+      {{ SC_(1.16628754138946533203125), SC_(6.602868183069916948720755731837247651904) }}, 
+      {{ SC_(1.28222560882568359375), SC_(4.140637712279411074557164685415721499333) }}, 
+      {{ SC_(1.7022221088409423828125), SC_(2.049914055577335303673424130546639695977) }}, 
+      {{ SC_(1.79880845546722412109375), SC_(1.884017213259316830925461356827163589705) }}, 
+      {{ SC_(2.048659801483154296875), SC_(1.601558368429615698519833097274473510457) }}, 
+      {{ SC_(2.8781378269195556640625), SC_(1.228101328930692778618914405979886894909) }}, 
+      {{ SC_(3.032318592071533203125), SC_(1.195776877916973414012665761751705560617) }}, 
+      {{ SC_(3.1069891452789306640625), SC_(1.182159242558432231709092493922425008201) }}, 
+      {{ SC_(3.1500339508056640625), SC_(1.174833816740130223224455066511517932084) }}, 
+      {{ SC_(3.724112033843994140625), SC_(1.104091496679991538723159196605198807097) }}, 
+      {{ SC_(4.021769046783447265625), SC_(1.080838392415394466528941224431751600289) }}, 
+      {{ SC_(4.18305683135986328125), SC_(1.070728699189787267711417808282208201243) }}, 
+      {{ SC_(4.988127231597900390625), SC_(1.037268683773212337925891820825986369163) }}, 
+      {{ SC_(5.475403308868408203125), SC_(1.025677237452222708699509051024184979758) }}, 
+      {{ SC_(6.73077487945556640625), SC_(1.010147799135311596739412446000395677634) }}, 
+      {{ SC_(6.75488376617431640625), SC_(1.009971613405573851873574290566390329028) }}, 
+      {{ SC_(7.481843471527099609375), SC_(1.005903033995481747047683253211887943379) }}, 
+      {{ SC_(7.635406494140625), SC_(1.005288494073193869275365293603878222362) }}, 
+      {{ SC_(8.020862579345703125), SC_(1.004017268583341130595381689022448999632) }}, 
+      {{ SC_(8.38578319549560546875), SC_(1.003100201571479771794633384423398597856) }}, 
+      {{ SC_(8.42790126800537109375), SC_(1.003009041836055382568010141093226826892) }}, 
+      {{ SC_(8.492221832275390625), SC_(1.002875040229932893183945988160370427031) }}, 
+      {{ SC_(8.66446590423583984375), SC_(1.002545196845709311376898921088902444564) }}, 
+      {{ SC_(8.9931430816650390625), SC_(1.002018125856127423319731400168443258982) }}, 
+      {{ SC_(9.1788425445556640625), SC_(1.001770614157242715970257755765969939378) }}, 
+      {{ SC_(9.3712940216064453125), SC_(1.001546356501243682890096399666391078865) }}, 
+      {{ SC_(9.79772472381591796875), SC_(1.001146130957712750505516168299351687689) }}, 
+      {{ SC_(9.808345794677734375), SC_(1.00113762301831987584969089187780050217) }}, 
+      {{ SC_(10.11186695098876953125), SC_(1.000919597225029357674089436218492816592) }}, 
+      {{ SC_(10.29917240142822265625), SC_(1.000806567139600490049263928993429525886) }}, 
+      {{ SC_(10.325397491455078125), SC_(1.000791898339491638031859012162073442552) }}, 
+      {{ SC_(10.59409236907958984375), SC_(1.000656217007150362893379421381526735049) }}, 
+      {{ SC_(11.10001468658447265625), SC_(1.000460863347090913162269206213828518989) }}, 
+      {{ SC_(11.258045196533203125), SC_(1.000412744570371150451037951828092883018) }}, 
+      {{ SC_(12.02548313140869140625), SC_(1.000241757815894734629418410369301746079) }}, 
+      {{ SC_(12.114536285400390625), SC_(1.000227221507799340331471780559564457085) }}, 
+      {{ SC_(12.59912014007568359375), SC_(1.000162173028028771481952241164711193704) }}, 
+      {{ SC_(13.27601528167724609375), SC_(1.000101287979535386768777024448093303828) }}, 
+      {{ SC_(13.40233516693115234375), SC_(1.000092774524593217714357153624534009066) }}, 
+      {{ SC_(13.50353527069091796875), SC_(1.000086474027947163401202419199584993912) }}, 
+      {{ SC_(13.81703281402587890625), SC_(1.00006954876715640831942977005349491939) }}, 
+      {{ SC_(14.04100894927978515625), SC_(1.000059528194484375589465960959559392027) }}, 
+      {{ SC_(14.2049045562744140625), SC_(1.000053123725822614470754551602877776071) }}, 
+      {{ SC_(14.57920742034912109375), SC_(1.000040965134201953746630782215943808799) }}, 
+      {{ SC_(15.36797332763671875), SC_(1.000023694259291145619969142932513875694) }}, 
+      {{ SC_(15.8139476776123046875), SC_(1.000017387917474363833490985179130947483) }}, 
+      {{ SC_(16.0026493072509765625), SC_(1.000015254196094267783311053302032549741) }}, 
+      {{ SC_(16.0506114959716796875), SC_(1.000014754970384001823203354717544204648) }}, 
+      {{ SC_(16.1929874420166015625), SC_(1.000013367248015505858617397050136565041) }}, 
+      {{ SC_(17.285480499267578125), SC_(1.000006265375288782355276787853647834027) }}, 
+      {{ SC_(17.3384552001953125), SC_(1.000006039370585766187763904743838901712) }}, 
+      {{ SC_(17.431396484375), SC_(1.000005662382433471779572282335717605371) }}, 
+      {{ SC_(17.864501953125), SC_(1.00000419335137039446528405523273417847) }}, 
+      {{ SC_(18.5247364044189453125), SC_(1.000002653000473253577578493409620982871) }}, 
+      {{ SC_(18.69007110595703125), SC_(1.000002365653327425220021887287461178979) }}, 
+      {{ SC_(18.81287384033203125), SC_(1.000002172565731416793616844762261244142) }}, 
+      {{ SC_(19.1818561553955078125), SC_(1.000001682165061320587705723061871112821) }}, 
+      {{ SC_(19.67647552490234375), SC_(1.00000119382334998635578076483569134487) }}, 
+      {{ SC_(19.70886993408203125), SC_(1.000001167310591227212167384387209403708) }}, 
+      {{ SC_(20.61444854736328125), SC_(1.000000623066938898373480079125184673916) }}, 
+      {{ SC_(20.89023590087890625), SC_(1.000000514640103638265544723138844382034) }}, 
+      {{ SC_(21.0827579498291015625), SC_(1.000000450341377189234015911832375901699) }}, 
+      {{ SC_(21.6490421295166015625), SC_(1.000000304127710718113360167907484415053) }}, 
+      {{ SC_(21.7479114532470703125), SC_(1.000000283981940559836806790957987649415) }}, 
+      {{ SC_(21.8129825592041015625), SC_(1.000000271456777007108293719830577426366) }}, 
+      {{ SC_(22.024364471435546875), SC_(1.000000234457016042858052978953659230864) }}, 
+      {{ SC_(22.31634521484375), SC_(1.000000191496938987028342073327362804024) }}, 
+      {{ SC_(23.4463043212890625), SC_(1.000000087496653103497740447812661569997) }}, 
+      {{ SC_(23.5119476318359375), SC_(1.000000083604563844903851348021422245475) }}, 
+      {{ SC_(23.8504581451416015625), SC_(1.000000066118672757144002036583533060251) }}, 
+      {{ SC_(23.9256191253662109375), SC_(1.000000062762118335210507369548667805974) }}, 
+      {{ SC_(24.1413936614990234375), SC_(1.000000054043162442589559272614572137384) }}, 
+      {{ SC_(24.1469058990478515625), SC_(1.000000053837061982953069368273926175689) }}, 
+      {{ SC_(24.2995853424072265625), SC_(1.000000048430482721838693416022261315822) }}, 
+      {{ SC_(24.52557373046875), SC_(1.00000004140831046897333530316265610171) }}, 
+      {{ SC_(24.8483028411865234375), SC_(1.000000033108065641575998984551968709104) }}, 
+      {{ SC_(25.115139007568359375), SC_(1.000000027517326675188465672935455696634) }}, 
+      {{ SC_(25.347324371337890625), SC_(1.000000023426640017082892404381467024384) }}, 
+      {{ SC_(25.883914947509765625), SC_(1.000000016150174569147643163428466835474) }}, 
+      {{ SC_(25.903171539306640625), SC_(1.000000015936036497475570766824085170722) }}, 
+      {{ SC_(25.9667415618896484375), SC_(1.000000015249075980692704336912033740583) }}, 
+      {{ SC_(26.88591766357421875), SC_(1.000000008063810840808460735890647313959) }}, 
+      {{ SC_(27.289585113525390625), SC_(1.000000006095693351337655085514196913602) }}, 
+      {{ SC_(27.9059352874755859375), SC_(1.000000003976323567324742280069738235563) }}, 
+      {{ SC_(28.0213603973388671875), SC_(1.000000003670583049284047356311447119736) }}, 
+      {{ SC_(28.6940479278564453125), SC_(1.000000002302686016920949834610470007565) }}, 
+      {{ SC_(28.924041748046875), SC_(1.000000001963357304099298248229398455341) }}, 
+      {{ SC_(29.0107631683349609375), SC_(1.000000001848815070266702493862791862422) }}, 
+      {{ SC_(29.6371631622314453125), SC_(1.000000001197643401744885528390587608634) }}, 
+      {{ SC_(29.7665653228759765625), SC_(1.000000001094897489879537307636075154625) }}, 
+      {{ SC_(29.896099090576171875), SC_(1.000000001000874865523017090100762703195) }}, 
+      {{ SC_(29.9447536468505859375), SC_(1.000000000967683322176361378042505764603) }}, 
+      {{ SC_(30.40348052978515625), SC_(1.000000000704112916637256444040895840462) }}, 
+      {{ SC_(30.716098785400390625), SC_(1.000000000566936750566018696285006521506) }}, 
+      {{ SC_(30.851467132568359375), SC_(1.000000000516160286455123973861824307492) }}, 
+      {{ SC_(32.114917755126953125), SC_(1.000000000215004429998345753311603463246) }}, 
+      {{ SC_(32.31705474853515625), SC_(1.000000000186895151300205581521237835124) }}, 
+      {{ SC_(33.2660064697265625), SC_(1.000000000096813254374934769090357620442) }}, 
+      {{ SC_(33.285717010498046875), SC_(1.000000000095499555541792141940005023127) }}, 
+      {{ SC_(33.286014556884765625), SC_(1.000000000095479861400139003020181708444) }}, 
+      {{ SC_(33.43369293212890625), SC_(1.000000000086189849924727332774207599423) }}, 
+      {{ SC_(34.13188934326171875), SC_(1.000000000053122428800090015460135314565) }}, 
+      {{ SC_(34.501476287841796875), SC_(1.000000000041116970445658244297262938037) }}, 
+      {{ SC_(34.5605926513671875), SC_(1.000000000039466198914643412779159907251) }}, 
+      {{ SC_(34.85152435302734375), SC_(1.000000000032258642822020209836223179965) }}, 
+      {{ SC_(35.2764434814453125), SC_(1.000000000024028830747846719836544655561) }}, 
+      {{ SC_(35.530582427978515625), SC_(1.000000000020147871220182569297544208725) }}, 
+      {{ SC_(35.530796051025390625), SC_(1.000000000020144888100208513063984898063) }}, 
+      {{ SC_(35.9766082763671875), SC_(1.000000000014789788630980767807649535379) }}, 
+      {{ SC_(36.075710296630859375), SC_(1.000000000013807952318212484703393304569) }}, 
+      {{ SC_(37.346637725830078125), SC_(1.000000000005721921857809586500408112553) }}, 
+      {{ SC_(38.30919647216796875), SC_(1.000000000002936181040773097124904210497) }}, 
+      {{ SC_(38.746036529541015625), SC_(1.00000000000216910640536046429265717688) }}, 
+      {{ SC_(38.9936981201171875), SC_(1.000000000001826952613666734849972430403) }}, 
+      {{ SC_(39.13246917724609375), SC_(1.000000000001659407425313111065810951635) }}, 
+      {{ SC_(39.650783538818359375), SC_(1.000000000001158576855480162680056752427) }}, 
+      {{ SC_(39.67319488525390625), SC_(1.000000000001140718173333054850436397748) }}, 
+      {{ SC_(39.688701629638671875), SC_(1.000000000001128522871078350064987157044) }}, 
+      {{ SC_(40.1527252197265625), SC_(1.00000000000081813568920259864182340915) }}, 
+      {{ SC_(41.04537200927734375), SC_(1.000000000000440668358431418275080044096) }}, 
+      {{ SC_(41.102458953857421875), SC_(1.000000000000423571747277636883518004963) }}, 
+      {{ SC_(41.10936737060546875), SC_(1.00000000000042154830144392988490289401) }}, 
+      {{ SC_(41.2002105712890625), SC_(1.000000000000395822807194682529407123307) }}, 
+      {{ SC_(41.9948883056640625), SC_(1.000000000000228180734060750744420949622) }}, 
+      {{ SC_(42.01873779296875), SC_(1.000000000000224439639108525255752196646) }}, 
+      {{ SC_(42.245525360107421875), SC_(1.000000000000191791651936161940112696305) }}, 
+      {{ SC_(42.640682220458984375), SC_(1.000000000000145839655420702994396584213) }}, 
+      {{ SC_(42.656719207763671875), SC_(1.000000000000144227479936645019793391633) }}, 
+      {{ SC_(42.8525238037109375), SC_(1.000000000000125922969766185468474101667) }}, 
+      {{ SC_(42.93152618408203125), SC_(1.000000000000119212795161526838438039263) }}, 
+      {{ SC_(43.824497222900390625), SC_(1.000000000000064196566283314196661109382) }}, 
+      {{ SC_(43.89032745361328125), SC_(1.000000000000061333101268165345810372718) }}, 
+      {{ SC_(44.2351226806640625), SC_(1.00000000000004829489412268436483221931) }}, 
+      {{ SC_(44.69818878173828125), SC_(1.000000000000035035186258816984623517723) }}, 
+      {{ SC_(44.844814300537109375), SC_(1.000000000000031649419666232107485326247) }}, 
+      {{ SC_(45.324756622314453125), SC_(1.000000000000022692832892549255237158092) }}, 
+      {{ SC_(45.4700164794921875), SC_(1.000000000000020519233831913348485253367) }}, 
+      {{ SC_(45.52651214599609375), SC_(1.000000000000019731234145578672796054892) }}, 
+      {{ SC_(45.67481231689453125), SC_(1.000000000000017803748480318501874295268) }}, 
+      {{ SC_(45.706668853759765625), SC_(1.000000000000017414927749921329025278045) }}, 
+      {{ SC_(45.942142486572265625), SC_(1.000000000000014792345774484033646200826) }}, 
+      {{ SC_(46.061252593994140625), SC_(1.000000000000013620132568841259892936442) }}, 
+      {{ SC_(46.165493011474609375), SC_(1.000000000000012670735995557404974141305) }}, 
+      {{ SC_(46.66110992431640625), SC_(1.000000000000008986824993086497939810961) }}, 
+      {{ SC_(46.95496368408203125), SC_(1.000000000000007330734455050719634274445) }}, 
+      {{ SC_(46.970867156982421875), SC_(1.000000000000007250368259197024518158727) }}, 
+      {{ SC_(47.740230560302734375), SC_(1.000000000000004253619155993815373574244) }}, 
+      {{ SC_(47.82225799560546875), SC_(1.00000000000000401851769095578631160734) }}, 
+      {{ SC_(47.844524383544921875), SC_(1.000000000000003956972517068642986534164) }}, 
+      {{ SC_(47.916797637939453125), SC_(1.000000000000003763627354737768001799664) }}, 
+      {{ SC_(48.03951263427734375), SC_(1.000000000000003456732091224533384587416) }}, 
+      {{ SC_(48.077789306640625), SC_(1.000000000000003366226193065923102690805) }}, 
+      {{ SC_(48.088245391845703125), SC_(1.000000000000003341917308946400199448992) }}, 
+      {{ SC_(48.21654510498046875), SC_(1.000000000000003057550491069862425535113) }}, 
+      {{ SC_(48.644329071044921875), SC_(1.000000000000002272991605673625823218911) }}, 
+      {{ SC_(48.682353973388671875), SC_(1.000000000000002213865312361618938196866) }}, 
+      {{ SC_(48.7743377685546875), SC_(1.000000000000002077118692813712217229131) }}, 
+      {{ SC_(49.042804718017578125), SC_(1.000000000000001724426584048478072980917) }}, 
+      {{ SC_(49.068695068359375), SC_(1.00000000000000169375635354541860333178) }}, 
+      {{ SC_(49.429607391357421875), SC_(1.000000000000001318880667089529421391478) }}, 
+      {{ SC_(49.453510284423828125), SC_(1.000000000000001297209182880660183342645) }}, 
+      {{ SC_(49.4922943115234375), SC_(1.000000000000001262800830493712288542346) }}, 
+      {{ SC_(49.584011077880859375), SC_(1.000000000000001185019129246615676129004) }}, 
+      {{ SC_(50.018886566162109375), SC_(1.000000000000000876626902724624554021734) }}, 
+      {{ SC_(50.265506744384765625), SC_(1.000000000000000738881381594389232226354) }}, 
+      {{ SC_(50.60231781005859375), SC_(1.000000000000000585038557479300395348451) }}, 
+      {{ SC_(51.059597015380859375), SC_(1.000000000000000426117855101476521328968) }}, 
+      {{ SC_(51.098628997802734375), SC_(1.000000000000000414743830855801205190555) }}, 
+      {{ SC_(52.473300933837890625), SC_(1.000000000000000159941972488386163451755) }}, 
+      {{ SC_(52.728687286376953125), SC_(1.000000000000000133993427096920945462604) }}, 
+      {{ SC_(52.8274078369140625), SC_(1.00000000000000012513121114750147039425) }}, 
+      {{ SC_(53.563289642333984375), SC_(1.000000000000000075135148894081185552722) }}, 
+      {{ SC_(54.441722869873046875), SC_(1.000000000000000040870354119536041226567) }}, 
+      {{ SC_(54.534519195556640625), SC_(1.000000000000000038324272820380003916252) }}, 
+      {{ SC_(54.8891754150390625), SC_(1.00000000000000002997172663898867687923) }}, 
+      {{ SC_(55.0283966064453125), SC_(1.000000000000000027214603309398090046137) }}, 
+      {{ SC_(55.1144256591796875), SC_(1.000000000000000025639212561447923551389) }}, 
+      {{ SC_(55.33161163330078125), SC_(1.000000000000000022055920618207215687506) }}, 
+      {{ SC_(55.826557159423828125), SC_(1.000000000000000015650626977085832472044) }}, 
+      {{ SC_(56.10559844970703125), SC_(1.000000000000000012898284202740849648306) }}, 
+      {{ SC_(56.106632232666015625), SC_(1.000000000000000012889045070538182553024) }}, 
+      {{ SC_(56.464366912841796875), SC_(1.000000000000000010058468799404521129717) }}, 
+      {{ SC_(57.06310272216796875), SC_(1.000000000000000006641932153342522535343) }}, 
+      {{ SC_(57.346035003662109375), SC_(1.000000000000000005459128681570429564283) }}, 
+      {{ SC_(57.472850799560546875), SC_(1.000000000000000004999746361816983875868) }}, 
+      {{ SC_(57.4929046630859375), SC_(1.000000000000000004930729282248733593481) }}, 
+      {{ SC_(57.598194122314453125), SC_(1.000000000000000004583696701999359539209) }}, 
+      {{ SC_(57.61005401611328125), SC_(1.000000000000000004546170184327776041529) }}, 
+      {{ SC_(57.6248931884765625), SC_(1.00000000000000000449964916454958377241) }}, 
+      {{ SC_(57.9284210205078125), SC_(1.000000000000000003645924503223314003083) }}, 
+      {{ SC_(57.933013916015625), SC_(1.000000000000000003634335967038469182822) }}, 
+      {{ SC_(58.09400177001953125), SC_(1.000000000000000003250595270157055505909) }}, 
+      {{ SC_(58.16320037841796875), SC_(1.000000000000000003098361177564293540649) }}, 
+      {{ SC_(58.26497650146484375), SC_(1.000000000000000002887316391786182139852) }}, 
+      {{ SC_(58.885471343994140625), SC_(1.00000000000000000187804855653649070089) }}, 
+      {{ SC_(59.2601165771484375), SC_(1.000000000000000001448529565053139975957) }}, 
+      {{ SC_(59.322772979736328125), SC_(1.000000000000000001386966294498092563052) }}, 
+      {{ SC_(59.579998016357421875), SC_(1.000000000000000001160468764851974345628) }}, 
+      {{ SC_(59.650043487548828125), SC_(1.000000000000000001105471797878708756365) }}, 
+      {{ SC_(59.791217803955078125), SC_(1.000000000000000001002420555691430478745) }}
+   }};
+
diff --git a/src/boost/libs/math/test/zeta_neg_data.ipp b/src/boost/libs/math/test/zeta_neg_data.ipp
new file mode 100644
index 00000000..94a8767d
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_neg_data.ipp
@@ -0,0 +1,207 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> zeta_neg_data = {{
+      {{ SC_(-29.912628173828125), SC_(-11411595.03734503626230312380285630491992) }}, 
+      {{ SC_(-29.851711273193359375), SC_(-17491128.83255653477666248263741824395945) }}, 
+      {{ SC_(-29.6310367584228515625), SC_(-29338557.80907609522626540806232745245856) }}, 
+      {{ SC_(-29.580287933349609375), SC_(-30306395.15877987544763078130380383514834) }}, 
+      {{ SC_(-29.449008941650390625), SC_(-30679896.21366776808601886434072241922978) }}, 
+      {{ SC_(-29.0131816864013671875), SC_(-20461364.43945172423472081418662644617911) }}, 
+      {{ SC_(-28.932170867919921875), SC_(-17954718.78416694210282615237096201590328) }}, 
+      {{ SC_(-28.8929386138916015625), SC_(-16756279.89114728919232419374363852845816) }}, 
+      {{ SC_(-28.8703212738037109375), SC_(-16073970.93038052754961877241558169058995) }}, 
+      {{ SC_(-28.56868743896484375), SC_(-8043912.797659222132349302164106524597545) }}, 
+      {{ SC_(-28.4122905731201171875), SC_(-4903635.075080145389499851622270349855906) }}, 
+      {{ SC_(-28.3275470733642578125), SC_(-3515000.607629881325886083145603311677359) }}, 
+      {{ SC_(-27.9045429229736328125), SC_(561872.9101127770815302245082844482980385) }}, 
+      {{ SC_(-27.648517608642578125), SC_(1342198.470655673842508718473103589634627) }}, 
+      {{ SC_(-26.98891448974609375), SC_(958967.3644061210965186556335814069245902) }}, 
+      {{ SC_(-26.9762477874755859375), SC_(940695.8288692367233401584802662854004146) }}, 
+      {{ SC_(-26.5942859649658203125), SC_(431764.3905797650182797008420936167894022) }}, 
+      {{ SC_(-26.513599395751953125), SC_(344789.2311643767144853652064583290283269) }}, 
+      {{ SC_(-26.3110713958740234375), SC_(166950.9217712466990407178286461519015362) }}, 
+      {{ SC_(-26.119335174560546875), SC_(50216.50838488570401977081704289833643882) }}, 
+      {{ SC_(-26.0972042083740234375), SC_(39696.07667360741023132228278408445173572) }}, 
+      {{ SC_(-26.06340789794921875), SC_(24717.59361206202031383049563915428563206) }}, 
+      {{ SC_(-25.97290802001953125), SC_(-9283.102630861689329279837111548500337322) }}, 
+      {{ SC_(-25.800212860107421875), SC_(-52573.91752584962621396048551282302169873) }}, 
+      {{ SC_(-25.7026424407958984375), SC_(-66701.3515681932512045823224337761059857) }}, 
+      {{ SC_(-25.60152435302734375), SC_(-75127.68961892726687631489083928203368082) }}, 
+      {{ SC_(-25.3774662017822265625), SC_(-77369.49762740646964459716518117457943474) }}, 
+      {{ SC_(-25.3718852996826171875), SC_(-77211.18174801304523919999376682789300922) }}, 
+      {{ SC_(-25.2124080657958984375), SC_(-69818.92283651854238898648172800794135819) }}, 
+      {{ SC_(-25.113994598388671875), SC_(-63308.57776529969909975415070544651202913) }}, 
+      {{ SC_(-25.1002140045166015625), SC_(-62323.27853183353019086156608655701085742) }}, 
+      {{ SC_(-24.9590358734130859375), SC_(-51664.42535000520168097529147316913191884) }}, 
+      {{ SC_(-24.6932125091552734375), SC_(-31670.01281816867446841516400384736191327) }}, 
+      {{ SC_(-24.610179901123046875), SC_(-26064.93805025958872153777775894298753194) }}, 
+      {{ SC_(-24.2069492340087890625), SC_(-5837.615323910213540582720536747728255397) }}, 
+      {{ SC_(-24.1601581573486328125), SC_(-4267.760146707777974801177862963289435484) }}, 
+      {{ SC_(-23.905548095703125), SC_(1791.561198109913837096109939891110951525) }}, 
+      {{ SC_(-23.5498905181884765625), SC_(4871.416521314878510824761013567411455181) }}, 
+      {{ SC_(-23.4835186004638671875), SC_(4975.227974192317781212488271510561925245) }}, 
+      {{ SC_(-23.4303455352783203125), SC_(4984.336960568300045015617894873870024567) }}, 
+      {{ SC_(-23.2656269073486328125), SC_(4689.056669026157611801515942421136275408) }}, 
+      {{ SC_(-23.147945404052734375), SC_(4269.09697487404379106734373164284895236) }}, 
+      {{ SC_(-23.0618305206298828125), SC_(3895.967523742781467049009764795714670535) }}, 
+      {{ SC_(-22.865161895751953125), SC_(2953.311728747392678575675862332538485112) }}, 
+      {{ SC_(-22.450725555419921875), SC_(1144.061952511390247866794452177364720154) }}, 
+      {{ SC_(-22.216400146484375), SC_(433.4964624209467744240111502742949136417) }}, 
+      {{ SC_(-22.117252349853515625), SC_(209.670669847220366780433535101515157212) }}, 
+      {{ SC_(-22.0920505523681640625), SC_(159.7249542805152560864294822534577696243) }}, 
+      {{ SC_(-22.0172443389892578125), SC_(27.28537205103064323405309172342888102988) }}, 
+      {{ SC_(-21.4432220458984375), SC_(-374.2415260535891625043607900493959621482) }}, 
+      {{ SC_(-21.4153881072998046875), SC_(-374.303271908688039818985907313585954208) }}, 
+      {{ SC_(-21.36655426025390625), SC_(-371.7545846369976735832217959234696992869) }}, 
+      {{ SC_(-21.1389904022216796875), SC_(-326.1669603491139591285009725186578239647) }}, 
+      {{ SC_(-20.792087554931640625), SC_(-206.625063426231189233571547577406886055) }}, 
+      {{ SC_(-20.7052173614501953125), SC_(-175.5791090488241874023715949426197745063) }}, 
+      {{ SC_(-20.64069366455078125), SC_(-153.3071708461727420185632819734936375388) }}, 
+      {{ SC_(-20.4468212127685546875), SC_(-92.67534368527936634847943709898214630585) }}, 
+      {{ SC_(-20.1869373321533203125), SC_(-30.43108614924854718139530495549243305713) }}, 
+      {{ SC_(-20.1699161529541015625), SC_(-27.17316397712932041916821790643340800192) }}, 
+      {{ SC_(-19.694103240966796875), SC_(27.1714136640721528789798045585951196151) }}, 
+      {{ SC_(-19.549198150634765625), SC_(32.29909704565499257138194367283757692887) }}, 
+      {{ SC_(-19.4480419158935546875), SC_(33.67605769729398309956337071678460455377) }}, 
+      {{ SC_(-19.1505031585693359375), SC_(30.51834489947975739023200586922515652717) }}, 
+      {{ SC_(-19.0985546112060546875), SC_(29.23410383834503370501000988892387173246) }}, 
+      {{ SC_(-19.064365386962890625), SC_(28.3146818846773107926880125501905809413) }}, 
+      {{ SC_(-18.95330047607421875), SC_(25.02711851332149330549031951636533097105) }}, 
+      {{ SC_(-18.7998867034912109375), SC_(20.07798417651821829598839554245992618286) }}, 
+      {{ SC_(-18.2061786651611328125), SC_(3.48259567016902798768190885417275768286) }}, 
+      {{ SC_(-18.171688079833984375), SC_(2.808091309863074171772985422170099249644) }}, 
+      {{ SC_(-17.99382781982421875), SC_(-0.08425805633923885570999830270532256204479) }}, 
+      {{ SC_(-17.9543361663818359375), SC_(-0.5968706969826661560508135615534999329391) }}, 
+      {{ SC_(-17.840961456298828125), SC_(-1.822852247678475212693660825685951918909) }}, 
+      {{ SC_(-17.83806610107421875), SC_(-1.849579792577253331534678618823864608689) }}, 
+      {{ SC_(-17.7578449249267578125), SC_(-2.504689097176022370085233310047718350241) }}, 
+      {{ SC_(-17.6391048431396484375), SC_(-3.193024470338536865812887315255732910235) }}, 
+      {{ SC_(-17.46953582763671875), SC_(-3.679429462928429733583422830868284984109) }}, 
+      {{ SC_(-17.329334259033203125), SC_(-3.730955850518545451525056518679296419855) }}, 
+      {{ SC_(-17.2073383331298828125), SC_(-3.582528563068304439407127816770249435282) }}, 
+      {{ SC_(-16.9253997802734375), SC_(-2.810296984266164459897058245930083917242) }}, 
+      {{ SC_(-16.915283203125), SC_(-2.77589555245432113406083575136508432266) }}, 
+      {{ SC_(-16.8818817138671875), SC_(-2.660508806128033733833130593715903076036) }}, 
+      {{ SC_(-16.3989238739013671875), SC_(-0.9776305321380423960622625495871224063825) }}, 
+      {{ SC_(-16.18682861328125), SC_(-0.3914840091082085155017628868619033070834) }}, 
+      {{ SC_(-15.86298274993896484375), SC_(0.2113095736867095471658768228963977110005) }}, 
+      {{ SC_(-15.8023357391357421875), SC_(0.2852756275882561377493711146849722900443) }}, 
+      {{ SC_(-15.44889068603515625), SC_(0.5095766448261500611629872324946933071932) }}, 
+      {{ SC_(-15.32804584503173828125), SC_(0.5204935020247384500134730244597097470842) }}, 
+      {{ SC_(-15.28248119354248046875), SC_(0.518000024039102855822688087754595443758) }}, 
+      {{ SC_(-14.95335483551025390625), SC_(0.4238642347557435114933888974408451377203) }}, 
+      {{ SC_(-14.88536357879638671875), SC_(0.3933692627692705652205577653029677414393) }}, 
+      {{ SC_(-14.81730365753173828125), SC_(0.3608573293373039084524243522210581723643) }}, 
+      {{ SC_(-14.79173946380615234375), SC_(0.3482722720977891877868480924645011434135) }}, 
+      {{ SC_(-14.5507144927978515625), SC_(0.2263366094050870980047656705259818867826) }}, 
+      {{ SC_(-14.38645648956298828125), SC_(0.147084896053585110709304360793633346003) }}, 
+      {{ SC_(-14.31533050537109375), SC_(0.1152816347651253287394552787556741727121) }}, 
+      {{ SC_(-13.65148448944091796875), SC_(-0.07251231425417656377649950152568494966249) }}, 
+      {{ SC_(-13.545276641845703125), SC_(-0.08375031877772358984694147296792966961615) }}, 
+      {{ SC_(-13.04667377471923828125), SC_(-0.08613748015144290972450792644674564697467) }}, 
+      {{ SC_(-13.03631877899169921875), SC_(-0.08554589764966609410422566041830102984647) }}, 
+      {{ SC_(-13.0361614227294921875), SC_(-0.08553676925262460195666037008963074921075) }}, 
+      {{ SC_(-12.95856761932373046875), SC_(-0.08056765309761383957595558846249995931279) }}, 
+      {{ SC_(-12.5917186737060546875), SC_(-0.04916757520124342761036750118646514054843) }}, 
+      {{ SC_(-12.39752960205078125), SC_(-0.03115114084163494465794707790061004080063) }}, 
+      {{ SC_(-12.36646747589111328125), SC_(-0.02836586465940004481089358385830546327083) }}, 
+      {{ SC_(-12.21360492706298828125), SC_(-0.01539036046556130908669688029744711232684) }}, 
+      {{ SC_(-11.99034214019775390625), SC_(0.0006069904308788892543024610864850846763506) }}, 
+      {{ SC_(-11.8568134307861328125), SC_(0.008147201960813915155871421057182351090437) }}, 
+      {{ SC_(-11.856700897216796875), SC_(0.008152875868653809905975061985964214000197) }}, 
+      {{ SC_(-11.62246036529541015625), SC_(0.01746194346204194142446845779680149340516) }}, 
+      {{ SC_(-11.5703887939453125), SC_(0.01886566756877059520362077789879963609155) }}, 
+      {{ SC_(-10.902614593505859375), SC_(0.0196626059012350652716117019088095189095) }}, 
+      {{ SC_(-10.39686298370361328125), SC_(0.008689980413332084843117426575282850372437) }}, 
+      {{ SC_(-10.16733551025390625), SC_(0.003416813948098911896742939961274332301015) }}, 
+      {{ SC_(-10.0372104644775390625), SC_(0.0007176193820913189364411980055213424358445) }}, 
+      {{ SC_(-9.9642963409423828125), SC_(-0.0006632811340011981503362639124151757266767) }}, 
+      {{ SC_(-9.6919612884521484375), SC_(-0.004807940796456133525623000987469972333747) }}, 
+      {{ SC_(-9.6801853179931640625), SC_(-0.004948106664919310929639531491612686942336) }}, 
+      {{ SC_(-9.672039031982421875), SC_(-0.005043104323545521915854009513305224121704) }}, 
+      {{ SC_(-9.42822933197021484375), SC_(-0.007140216297724451093935994631687254893686) }}, 
+      {{ SC_(-8.95921039581298828125), SC_(-0.007434519412310381781780546556040051757663) }}, 
+      {{ SC_(-8.9292163848876953125), SC_(-0.007313912761229121731761666014703562188579) }}, 
+      {{ SC_(-8.92558765411376953125), SC_(-0.00729839292833941319530973378448137863064) }}, 
+      {{ SC_(-8.87785434722900390625), SC_(-0.00707633883068269537335294544211513278741) }}, 
+      {{ SC_(-8.46031284332275390625), SC_(-0.004074256641827071875084784818914263298709) }}, 
+      {{ SC_(-8.447780609130859375), SC_(-0.003964973936847219963439195813913605287177) }}, 
+      {{ SC_(-8.32862186431884765625), SC_(-0.002903415969312147961289161209278260789382) }}, 
+      {{ SC_(-8.120998382568359375), SC_(-0.00103823391856569843811586237609042444109) }}, 
+      {{ SC_(-8.11257076263427734375), SC_(-0.0009641405242205096512409518786467984036622) }}, 
+      {{ SC_(-8.00969028472900390625), SC_(-0.8081897555380671288572993901221806428558e-4) }}, 
+      {{ SC_(-7.96818065643310546875), SC_(0.000261996231792748327532018167663538399616) }}, 
+      {{ SC_(-7.498992443084716796875), SC_(0.003273417189465077929314372888310860553978) }}, 
+      {{ SC_(-7.46440410614013671875), SC_(0.003417551297097495653085939986968115182729) }}, 
+      {{ SC_(-7.28324031829833984375), SC_(0.003973224858687943569640790429796668774442) }}, 
+      {{ SC_(-7.03993511199951171875), SC_(0.004188064885842535489566897798831477388136) }}, 
+      {{ SC_(-6.96289348602294921875), SC_(0.00413307218623721479271246253687857536289) }}, 
+      {{ SC_(-6.710720539093017578125), SC_(0.003579650425628445602269416395217624438872) }}, 
+      {{ SC_(-6.6343975067138671875), SC_(0.003311914606322736219077651823305971579526) }}, 
+      {{ SC_(-6.604713916778564453125), SC_(0.003196837407418412428928538915252495489608) }}, 
+      {{ SC_(-6.5267925262451171875), SC_(0.00286808681065953969739400100637205637184) }}, 
+      {{ SC_(-6.5100555419921875), SC_(0.002792769359155893317313951562112124642491) }}, 
+      {{ SC_(-6.38633251190185546875), SC_(0.002191129317123186105010600162934947438173) }}, 
+      {{ SC_(-6.323749542236328125), SC_(0.001861047805191740695151906651937619919389) }}, 
+      {{ SC_(-6.268978595733642578125), SC_(0.001560903697471362240875092595942452538086) }}, 
+      {{ SC_(-6.00856876373291015625), SC_(0.5056493923745302784537384920689241524123e-4) }}, 
+      {{ SC_(-5.854171276092529296875), SC_(-0.000850699827548195177814512570253393816845) }}, 
+      {{ SC_(-5.8458156585693359375), SC_(-0.0008984756388001563233098481127032455383618) }}, 
+      {{ SC_(-5.441573619842529296875), SC_(-0.002915026968595680785713416510699222417991) }}, 
+      {{ SC_(-5.398475170135498046875), SC_(-0.003081263239844393794556192268338493619238) }}, 
+      {{ SC_(-5.38677501678466796875), SC_(-0.003124321716617199710687253202017509643958) }}, 
+      {{ SC_(-5.348802089691162109375), SC_(-0.003257740949901305827723740216599368435532) }}, 
+      {{ SC_(-5.284323215484619140625), SC_(-0.003461160844402030020337003403034416960299) }}, 
+      {{ SC_(-5.26421260833740234375), SC_(-0.003518393964166156715278378770334015232501) }}, 
+      {{ SC_(-5.258718967437744140625), SC_(-0.003533499841767076804949459388722993177251) }}, 
+      {{ SC_(-5.19130611419677734375), SC_(-0.003699890777792053165830070855367893096293) }}, 
+      {{ SC_(-4.966538906097412109375), SC_(-0.003982393105088701410063296824875351251516) }}, 
+      {{ SC_(-4.946559429168701171875), SC_(-0.00398600239489331055969397480564266110296) }}, 
+      {{ SC_(-4.8982295989990234375), SC_(-0.003979612855119401843972374236087226591403) }}, 
+      {{ SC_(-4.757171154022216796875), SC_(-0.003836405057552962242456530288751158127348) }}, 
+      {{ SC_(-4.743566036224365234375), SC_(-0.003812665437930484329367028055222166144102) }}, 
+      {{ SC_(-4.553936004638671875), SC_(-0.003299286445112839390501564610822343063568) }}, 
+      {{ SC_(-4.54137516021728515625), SC_(-0.003253340207436420485572929378617465360415) }}, 
+      {{ SC_(-4.5209980010986328125), SC_(-0.003175691140094301576675103590991471527218) }}, 
+      {{ SC_(-4.4728069305419921875), SC_(-0.002976858185863617245397173014294301888612) }}, 
+      {{ SC_(-4.24431324005126953125), SC_(-0.00175551877458019938328423578132053906906) }}, 
+      {{ SC_(-4.114734649658203125), SC_(-0.0008756602845971692915754872652644095998698) }}, 
+      {{ SC_(-3.9377651214599609375), SC_(0.0005075394336783163996239897113119062326783) }}, 
+      {{ SC_(-3.69749927520751953125), SC_(0.002622130552658735330754289390878800389753) }}, 
+      {{ SC_(-3.676990985870361328125), SC_(0.002810112977938437719471179582479423269376) }}, 
+      {{ SC_(-2.9547061920166015625), SC_(0.00856184012269561519081119026118342931302) }}, 
+      {{ SC_(-2.8205192089080810546875), SC_(0.009037989206198579118042330714986772360851) }}, 
+      {{ SC_(-2.7686493396759033203125), SC_(0.009128821249400912985786171301727546611781) }}, 
+      {{ SC_(-2.3819997310638427734375), SC_(0.007528500554786901983716620452938789863242) }}, 
+      {{ SC_(-1.9204499721527099609375), SC_(-0.002637408450550919969361055380236527200873) }}, 
+      {{ SC_(-1.87169349193572998046875), SC_(-0.004478507698442871056456977520107815363936) }}, 
+      {{ SC_(-1.6853485107421875), SC_(-0.01331301401933966559224964767883365698475) }}, 
+      {{ SC_(-1.6121981143951416015625), SC_(-0.01766825358627221799677465200009125172091) }}, 
+      {{ SC_(-1.5669968128204345703125), SC_(-0.02064343048265733044842029728400047740426) }}, 
+      {{ SC_(-1.4528820514678955078125), SC_(-0.02922143297753860874334243356099190516151) }}, 
+      {{ SC_(-1.192826747894287109375), SC_(-0.05566943732471789169546884977433587458236) }}, 
+      {{ SC_(-1.04621016979217529296875), SC_(-0.07595018260277478359527480657330720805406) }}, 
+      {{ SC_(-1.0456688404083251953125), SC_(-0.07603371990103121884396103918441800305874) }}, 
+      {{ SC_(-0.857705175876617431640625), SC_(-0.1096023911883116703076955371201458249853) }}, 
+      {{ SC_(-0.543115675449371337890625), SC_(-0.1928664573137838612762872432285532859205) }}, 
+      {{ SC_(-0.394455432891845703125), SC_(-0.2495443485845467778254047395388879044791) }}, 
+      {{ SC_(-0.327823936939239501953125), SC_(-0.2799982799519977440228461605076452171571) }}, 
+      {{ SC_(-0.317288100719451904296875), SC_(-0.2851488655947230334542341313298974452691) }}, 
+      {{ SC_(-0.261966645717620849609375), SC_(-0.3138527949668934661932558041917113174462) }}, 
+      {{ SC_(-0.2557342052459716796875), SC_(-0.317271262348402548403653041282308443369) }}, 
+      {{ SC_(-0.247936725616455078125), SC_(-0.3216037424750364211708767678886883998309) }}, 
+      {{ SC_(-0.088456094264984130859375), SC_(-0.4259272083317181924380711619296285238665) }}, 
+      {{ SC_(-0.086042940616607666015625), SC_(-0.4277716953524606366478858744722936332152) }}, 
+      {{ SC_(-0.001456916332244873046875), SC_(-0.4986633097035792982997269904612808871223) }}, 
+      {{ SC_(0.034901142120361328125), SC_(-0.533338048759179364792881398709205491114) }}, 
+      {{ SC_(0.088376700878143310546875), SC_(-0.5898057330494933987159364633901975183229) }}, 
+      {{ SC_(0.414400041103363037109375), SC_(-1.174656654636669840597116356984374413125) }}, 
+      {{ SC_(0.611247599124908447265625), SC_(-2.024132913638389303467555729734394339536) }}, 
+      {{ SC_(0.644168853759765625), SC_(-2.259612667973966645670455260002849054666) }}, 
+      {{ SC_(0.779320240020751953125), SC_(-3.970538544084429654769915000159638319936) }}, 
+      {{ SC_(0.81612360477447509765625), SC_(-4.874770988252068737319828926058330714155) }}, 
+      {{ SC_(0.890301287174224853515625), SC_(-8.54670722409884960433372346851249404364) }}
+   }};
diff --git a/src/boost/libs/math/tools/Jamfile.v2 b/src/boost/libs/math/tools/Jamfile.v2
new file mode 100644
index 00000000..5b8a4e83
--- /dev/null
+++ b/src/boost/libs/math/tools/Jamfile.v2
@@ -0,0 +1,47 @@
+# Copyright John Maddock 2010
+# Distributed under the Boost Software License, Version 1.0. 
+# (See accompanying file LICENSE_1_0.txt or copy at 
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\test\jamfile.v2
+# Runs all math toolkit tests, functions & distributions,
+# and build math examples.
+
+# bring in the rules for testing
+import modules ;
+import path ;
+
+project  
+    : requirements 
+      <toolset>gcc:<cxxflags>-Wno-missing-braces
+      <toolset>darwin:<cxxflags>-Wno-missing-braces
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo 
+      <toolset>intel-win:<linkflags>-nologo 
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4512 
+      <toolset>msvc:<cxxflags>/wd4610 
+      <toolset>msvc:<cxxflags>/wd4510 
+      <toolset>msvc:<cxxflags>/wd4127 
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <link>static
+      <toolset>borland:<runtime-link>static
+      <include>../../..
+      <define>BOOST_ALL_NO_LIB=1
+      <define>BOOST_UBLAS_UNSUPPORTED_COMPILER=0
+      <include>.
+      <include>../include_private
+    ;
+
+
+for local source in [ glob *_data.cpp ] generate_test_values.cpp igamma_temme_large_coef.cpp lanczos_generator.cpp factorial_tables.cpp generate_rational_test.cpp
+{
+   exe $(source:B) : $(source) ;
+   install $(source:B)_bin : $(source:B) : <location>bin ;
+}
+
+exe generate_rational_code : generate_rational_code.cpp ;
+exe process_perf_results : process_perf_results.cpp ../../regex/build//boost_regex ;
+
+install bin : generate_rational_code process_perf_results ;
diff --git a/src/boost/libs/math/tools/bessel_data.cpp b/src/boost/libs/math/tools/bessel_data.cpp
new file mode 100644
index 00000000..6c950358
--- /dev/null
+++ b/src/boost/libs/math/tools/bessel_data.cpp
@@ -0,0 +1,355 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Computes test data for the various bessel functions using
+// archived - deliberately naive - version of the code.
+// We'll rely on the high precision of mp_t to get us out of
+// trouble and not worry about how long the calculations take.
+// This provides a reasonably independent set of test data to
+// compare against newly added asymptotic expansions etc.
+//
+#include <fstream>
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace boost::math::detail;
+using namespace std;
+
+// Compute J(v, x) and Y(v, x) simultaneously by Steed's method, see
+// Barnett et al, Computer Physics Communications, vol 8, 377 (1974)
+template <typename T>
+int bessel_jy_bare(T v, T x, T* J, T* Y, int kind = need_j|need_y)
+{
+    // Jv1 = J_(v+1), Yv1 = Y_(v+1), fv = J_(v+1) / J_v
+    // Ju1 = J_(u+1), Yu1 = Y_(u+1), fu = J_(u+1) / J_u
+    T u, Jv, Ju, Yv, Yv1, Yu, Yu1, fv, fu;
+    T W, p, q, gamma, current, prev, next;
+    bool reflect = false;
+    int n, k, s;
+
+    using namespace std;
+    using namespace boost::math::tools;
+    using namespace boost::math::constants;
+
+    if (v < 0)
+    {
+        reflect = true;
+        v = -v;                             // v is non-negative from here
+        kind = need_j|need_y;               // need both for reflection formula
+    }
+    n = real_cast<int>(v + 0.5L);
+    u = v - n;                              // -1/2 <= u < 1/2
+
+    if (x < 0)
+    {
+       *J = *Y = policies::raise_domain_error<T>("",
+          "Real argument x=%1% must be non-negative, complex number result not supported", x, policies::policy<>());
+        return 1;
+    }
+    if (x == 0)
+    {
+       *J = *Y = policies::raise_overflow_error<T>(
+          "", 0, policies::policy<>());
+       return 1;
+    }
+
+    // x is positive until reflection
+    W = T(2) / (x * pi<T>());               // Wronskian
+    if (x <= 2)                           // x in (0, 2]
+    {
+       if(temme_jy(u, x, &Yu, &Yu1, policies::policy<>()))             // Temme series
+        {
+           // domain error:
+           *J = *Y = Yu;
+           return 1;
+        }
+        prev = Yu;
+        current = Yu1;
+        for (k = 1; k <= n; k++)            // forward recurrence for Y
+        {
+            next = 2 * (u + k) * current / x - prev;
+            prev = current;
+            current = next;
+        }
+        Yv = prev;
+        Yv1 = current;
+        CF1_jy(v, x, &fv, &s, policies::policy<>());                 // continued fraction CF1
+        Jv = W / (Yv * fv - Yv1);           // Wronskian relation
+    }
+    else                                    // x in (2, \infty)
+    {
+        // Get Y(u, x):
+        CF1_jy(v, x, &fv, &s, policies::policy<>());
+        // tiny initial value to prevent overflow
+        T init = sqrt(tools::min_value<T>());
+        prev = fv * s * init;
+        current = s * init;
+        for (k = n; k > 0; k--)             // backward recurrence for J
+        {
+            next = 2 * (u + k) * current / x - prev;
+            prev = current;
+            current = next;
+        }
+        T ratio = (s * init) / current;     // scaling ratio
+        // can also call CF1() to get fu, not much difference in precision
+        fu = prev / current;
+        CF2_jy(u, x, &p, &q, policies::policy<>());                  // continued fraction CF2
+        T t = u / x - fu;                   // t = J'/J
+        gamma = (p - t) / q;
+        Ju = sign(current) * sqrt(W / (q + gamma * (p - t)));
+
+        Jv = Ju * ratio;                    // normalization
+
+        Yu = gamma * Ju;
+        Yu1 = Yu * (u/x - p - q/gamma);
+
+        // compute Y:
+        prev = Yu;
+        current = Yu1;
+        for (k = 1; k <= n; k++)            // forward recurrence for Y
+        {
+            next = 2 * (u + k) * current / x - prev;
+            prev = current;
+            current = next;
+        }
+        Yv = prev;
+    }
+
+    if (reflect)
+    {
+        T z = (u + n % 2) * pi<T>();
+        *J = cos(z) * Jv - sin(z) * Yv;     // reflection formula
+        *Y = sin(z) * Jv + cos(z) * Yv;
+    }
+    else
+    {
+        *J = Jv;
+        *Y = Yv;
+    }
+
+    return 0;
+}
+
+int progress = 0;
+
+template <class T>
+T cyl_bessel_j_bare(T v, T x)
+{
+   T j, y;
+   bessel_jy_bare(v, x, &j, &y);
+
+   std::cout << progress++ << ":   J(" << v << ", " << x << ") = " << j << std::endl;
+
+   if(fabs(j) > 1e30)
+      throw std::domain_error("");
+
+   return j;
+}
+
+template <class T>
+T cyl_bessel_i_bare(T v, T x)
+{
+   using namespace std;
+   if(x < 0)
+   {
+      // better have integer v:
+      if(floor(v) == v)
+      {
+         T r = cyl_bessel_i_bare(v, -x);
+         if(tools::real_cast<int>(v) & 1)
+            r = -r;
+         return r;
+      }
+      else
+         return policies::raise_domain_error<T>(
+            "",
+            "Got x = %1%, but we need x >= 0", x, policies::policy<>());
+   }
+   if(x == 0)
+   {
+      return (v == 0) ? 1 : 0;
+   }
+   T I, K;
+   boost::math::detail::bessel_ik(v, x, &I, &K, 0xffff, policies::policy<>());
+
+   std::cout << progress++ << ":   I(" << v << ", " << x << ") = " << I << std::endl;
+
+   if(fabs(I) > 1e30)
+      throw std::domain_error("");
+
+   return I;
+}
+
+template <class T>
+T cyl_bessel_k_bare(T v, T x)
+{
+   using namespace std;
+   if(x < 0)
+   {
+      return policies::raise_domain_error<T>(
+         "",
+         "Got x = %1%, but we need x > 0", x, policies::policy<>());
+   }
+   if(x == 0)
+   {
+      return (v == 0) ? policies::raise_overflow_error<T>("", 0, policies::policy<>())
+         : policies::raise_domain_error<T>(
+         "",
+         "Got x = %1%, but we need x > 0", x, policies::policy<>());
+   }
+   T I, K;
+   bessel_ik(v, x, &I, &K, 0xFFFF, policies::policy<>());
+
+   std::cout << progress++ << ":   K(" << v << ", " << x << ") = " << K << std::endl;
+
+   if(fabs(K) > 1e30)
+      throw std::domain_error("");
+
+   return K;
+}
+
+template <class T>
+T cyl_neumann_bare(T v, T x)
+{
+   T j, y;
+   bessel_jy(v, x, &j, &y, 0xFFFF, policies::policy<>());
+
+   std::cout << progress++ << ":   Y(" << v << ", " << x << ") = " << y << std::endl;
+
+   if(fabs(y) > 1e30)
+      throw std::domain_error("");
+
+   return y;
+}
+
+template <class T>
+T sph_bessel_j_bare(T v, T x)
+{
+   std::cout << progress++ << ":   j(" << v << ", " << x << ") = ";
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   T r = sqrt(constants::pi<T>() / (2 * x)) * cyl_bessel_j_bare(v+0.5, x);
+   std::cout << r << std::endl;
+   return r;
+}
+
+template <class T>
+T sph_bessel_y_bare(T v, T x)
+{
+   std::cout << progress++ << ":   y(" << v << ", " << x << ") = ";
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   T r = sqrt(constants::pi<T>() / (2 * x)) * cyl_neumann_bare(v+0.5, x);
+   std::cout << r << std::endl;
+   return r;
+}
+
+enum
+{
+   func_J = 0,
+   func_Y,
+   func_I,
+   func_K,
+   func_j,
+   func_y
+};
+
+int main(int argc, char* argv[])
+{
+   std::cout << std::setprecision(17) << std::scientific;
+   std::cout << sph_bessel_j_bare(0., 0.1185395751953125e4) << std::endl;
+   std::cout << sph_bessel_j_bare(22., 0.6540834903717041015625) << std::endl;
+
+   std::cout << std::setprecision(40) << std::scientific;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   int functype = 0;
+   std::string letter = "J";
+
+   if(argc == 2)
+   {
+      if(std::strcmp(argv[1], "--Y") == 0)
+      {
+         functype = func_Y;
+         letter = "Y";
+      }
+      else if(std::strcmp(argv[1], "--I") == 0)
+      {
+         functype = func_I;
+         letter = "I";
+      }
+      else if(std::strcmp(argv[1], "--K") == 0)
+      {
+         functype = func_K;
+         letter = "K";
+      }
+      else if(std::strcmp(argv[1], "--j") == 0)
+      {
+         functype = func_j;
+         letter = "j";
+      }
+      else if(std::strcmp(argv[1], "--y") == 0)
+      {
+         functype = func_y;
+         letter = "y";
+      }
+      else
+         BOOST_ASSERT(0);
+   }
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the Bessel " << letter << " function\n\n";
+   do{
+      get_user_parameter_info(arg1, "v");
+      get_user_parameter_info(arg2, "x");
+      mp_t (*fp)(mp_t, mp_t);
+      if(functype == func_J)
+         fp = cyl_bessel_j_bare;
+      else if(functype == func_I)
+         fp = cyl_bessel_i_bare;
+      else if(functype == func_K)
+         fp = cyl_bessel_k_bare;
+      else if(functype == func_Y)
+         fp = cyl_neumann_bare;
+      else if(functype == func_j)
+         fp = sph_bessel_j_bare;
+      else if(functype == func_y)
+         fp = sph_bessel_y_bare;
+      else
+         BOOST_ASSERT(0);
+
+      data.insert(fp, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=bessel_j_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "bessel_j_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
+
+
diff --git a/src/boost/libs/math/tools/bessel_derivative_append_negative.cpp b/src/boost/libs/math/tools/bessel_derivative_append_negative.cpp
new file mode 100644
index 00000000..c55f3f9d
--- /dev/null
+++ b/src/boost/libs/math/tools/bessel_derivative_append_negative.cpp
@@ -0,0 +1,305 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+//  Appends negative test cases to the *.ipp files.
+//  Takes the next parameters:
+//  -f <file> file where the negative values will be appended;
+//  -x add minus to existing x values and append result;
+//  -v, -xv like previous option.
+//  Usage example:
+//  ./bessel_derivative_append_negative -f "bessel_y_derivative_large_data.ipp" -x -v -xv
+
+#include <fstream>
+#include <utility>
+#include <functional>
+#include <map>
+#include <vector>
+#include <iterator>
+#include <algorithm>
+
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/program_options.hpp>
+#include <boost/lexical_cast.hpp>
+
+#include <boost/math/special_functions/bessel.hpp>
+
+template <class T>
+T bessel_j_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_j(v, x) - boost::math::cyl_bessel_j(v+1, x);
+}
+
+template <class T>
+T bessel_y_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_neumann(v, x) - boost::math::cyl_neumann(v+1, x);
+}
+
+template <class T>
+T bessel_i_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_i(v, x) + boost::math::cyl_bessel_i(v+1, x);
+}
+
+template <class T>
+T bessel_k_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_k(v, x) - boost::math::cyl_bessel_k(v+1, x);
+}
+
+template <class T>
+T sph_bessel_j_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_bessel(1, x);
+   return boost::math::sph_bessel(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_bessel(itrunc(v), x);
+}
+
+template <class T>
+T sph_bessel_y_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_neumann(1, x);
+   return boost::math::sph_neumann(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_neumann(itrunc(v), x);
+}
+
+namespace opt = boost::program_options;
+using FloatType = boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<200u> >;
+using Function = FloatType(*)(FloatType, FloatType);
+using Lines = std::vector<std::string>;
+
+enum class Negate: char
+{
+   x,
+   v,
+   xv
+};
+
+namespace
+{
+
+const unsigned kSignificand = 50u;
+
+std::map<std::string, Function> kFileMapper = {
+   {"bessel_j_derivative_data.ipp", ::bessel_j_derivative_bare},
+   {"bessel_j_derivative_int_data.ipp", ::bessel_j_derivative_bare},
+   {"bessel_j_derivative_large_data.ipp", ::bessel_j_derivative_bare},
+   {"bessel_y01_derivative_data.ipp", ::bessel_y_derivative_bare},
+   {"bessel_yn_derivative_data.ipp", ::bessel_y_derivative_bare},
+   {"bessel_yv_derivative_data.ipp", ::bessel_y_derivative_bare},
+   {"bessel_i_derivative_data.ipp", ::bessel_i_derivative_bare},
+   {"bessel_i_derivative_int_data.ipp", ::bessel_i_derivative_bare},
+   {"bessel_k_derivative_data.ipp", ::bessel_k_derivative_bare},
+   {"bessel_k_derivative_int_data.ipp", ::bessel_k_derivative_bare},
+   {"sph_bessel_derivative_data.ipp", ::sph_bessel_j_derivative_bare},
+   {"sph_neumann_derivative_data.ipp", ::sph_bessel_y_derivative_bare}
+};
+
+Function fp = ::bessel_j_derivative_bare;
+
+Lines getSourcePartOfFile(std::fstream& file)
+{
+   file.seekg(std::ios::beg);
+
+   Lines lines;
+   while (true)
+   {
+      auto line = std::string{};
+      std::getline(file, line);
+      if (line.find("}};") != std::string::npos)
+         break;
+      lines.push_back(line);
+   }
+   file.seekg(std::ios::beg);
+   return lines;
+}
+
+std::pair<std::string, std::string::iterator> parseValue(std::string::iterator& iter)
+{
+   using std::isdigit;
+
+   auto value = std::string{};
+   auto iterator = std::string::iterator{};
+
+   while (!isdigit(*iter) && *iter != '-')
+      ++iter;
+   iterator = iter;
+   while (isdigit(*iter) || *iter == '.' || *iter == 'e' || *iter == '-' || *iter == '+')
+   {
+      value.push_back(*iter);
+      ++iter;
+   }
+   return {value, iterator};
+}
+
+void addMinusToValue(std::string& line, Negate which)
+{
+   using std::isdigit;
+
+   auto iter = line.begin();
+   switch (which)
+   {
+      case Negate::x:
+      {
+         ::parseValue(iter);
+         auto value_begin = ::parseValue(iter).second;
+         if (*value_begin != '-')
+            line.insert(value_begin, '-');
+         break;
+      }
+      case Negate::v:
+      {
+         auto value_begin = ::parseValue(iter).second;
+         if (*value_begin != '-')
+            line.insert(value_begin, '-');
+         break;
+      }
+      case Negate::xv:
+      {
+         auto v_value_begin = ::parseValue(iter).second;
+         if (*v_value_begin != '-')
+            line.insert(v_value_begin, '-');
+         // iterator could get invalid
+         iter = line.begin();
+         ::parseValue(iter);
+         auto x_value_begin = ::parseValue(iter).second;
+         if (*x_value_begin != '-')
+            line.insert(x_value_begin, '-');
+         break;
+      }
+   }
+}
+
+void replaceResultInLine(std::string& line)
+{
+   using std::isdigit;
+
+   auto iter = line.begin();
+
+   // parse v and x values from line and convert them to FloatType
+   auto v = FloatType{::parseValue(iter).first};
+   auto x = FloatType{::parseValue(iter).first};
+   auto result = fp(v, x).str(kSignificand);
+
+   while (!isdigit(*iter) && *iter != '-')
+      ++iter;
+   const auto where_to_write = iter;
+   while (isdigit(*iter) || *iter == '.' || *iter == 'e' || *iter == '-' || *iter == '+')
+      line.erase(iter);
+
+   line.insert(where_to_write, result.begin(), result.end());
+}
+
+Lines processValues(const Lines& source_lines, Negate which)
+{
+   using std::placeholders::_1;
+
+   auto processed_lines = source_lines;
+   std::for_each(std::begin(processed_lines), std::end(processed_lines), std::bind(&addMinusToValue, _1, which));
+   std::for_each(std::begin(processed_lines), std::end(processed_lines), &replaceResultInLine);
+
+   return processed_lines;
+}
+
+void updateTestCount(Lines& source_lines, std::size_t mult)
+{
+   using std::isdigit;
+
+   const auto where = std::find_if(std::begin(source_lines), std::end(source_lines),
+      [](const std::string& str){ return str.find("boost::array") != std::string::npos; });
+   auto& str = *where;
+   const auto pos = str.find(">, ") + 3;
+   auto digits_length = 0;
+
+   auto k = pos;
+   while (isdigit(str[k++]))
+      ++digits_length;
+
+   const auto new_value = mult * boost::lexical_cast<std::size_t>(str.substr(pos, digits_length));
+   str.replace(pos, digits_length, boost::lexical_cast<std::string>(new_value));
+}
+
+} // namespace
+
+int main(int argc, char*argv [])
+{
+   auto desc = opt::options_description{"All options"};
+   desc.add_options()
+      ("help", "produce help message")
+      ("file", opt::value<std::string>()->default_value("bessel_j_derivative_data.ipp"))
+      ("x", "append negative x")
+      ("v", "append negative v")
+      ("xv", "append negative x and v");
+   opt::variables_map vm;
+   opt::store(opt::command_line_parser(argc, argv).options(desc)
+         .style(opt::command_line_style::default_style |
+         opt::command_line_style::allow_long_disguise)
+      .run(),vm);
+   opt::notify(vm);
+
+   if (vm.count("help"))
+   {
+      std::cout << desc;
+      return 0;
+   }
+
+   auto filename = vm["file"].as<std::string>();
+   fp = kFileMapper[filename];
+
+   std::fstream file{filename.c_str()};
+   if (!file.is_open())
+      return -1;
+   auto source_part = ::getSourcePartOfFile(file);
+   source_part.back().push_back(',');
+
+   auto cases_lines = Lines{};
+   for (const auto& str: source_part)
+   {
+      if (str.find("SC_") != std::string::npos)
+         cases_lines.push_back(str);
+   }
+
+   auto new_lines = Lines{};
+   new_lines.reserve(cases_lines.size());
+
+   std::size_t mult = 1;
+   if (vm.count("x"))
+   {
+      std::cout << "process x..." << std::endl;
+      const auto x_lines = ::processValues(cases_lines, Negate::x);
+      new_lines.insert(std::end(new_lines), std::begin(x_lines), std::end(x_lines));
+      ++mult;
+   }
+   if (vm.count("v"))
+   {
+      std::cout << "process v..." << std::endl;
+      const auto v_lines = ::processValues(cases_lines, Negate::v);
+      new_lines.insert(std::end(new_lines), std::begin(v_lines), std::end(v_lines));
+      ++mult;
+   }
+   if (vm.count("xv"))
+   {
+      std::cout << "process xv..." << std::endl;
+      const auto xv_lines = ::processValues(cases_lines, Negate::xv);
+      new_lines.insert(std::end(new_lines), std::begin(xv_lines), std::end(xv_lines));
+      ++mult;
+   }
+
+   source_part.insert(std::end(source_part), std::begin(new_lines), std::end(new_lines));
+   ::updateTestCount(source_part, mult);
+
+   file.close();
+   file.open(filename, std::ios::out | std::ios::trunc);
+   std::for_each(std::begin(source_part), std::end(source_part), [&file](const std::string& str)
+      { file << str << std::endl; });
+   file << "   }};";
+
+   std::cout << "processed, ok\n";
+   return 0;
+}
diff --git a/src/boost/libs/math/tools/bessel_derivative_data.cpp b/src/boost/libs/math/tools/bessel_derivative_data.cpp
new file mode 100644
index 00000000..67200203
--- /dev/null
+++ b/src/boost/libs/math/tools/bessel_derivative_data.cpp
@@ -0,0 +1,166 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+//  Computes test data for the derivatives of the
+//  various bessel functions. Results of derivatives
+//  are generated by the relations between the derivatives
+//  and Bessel functions, which actual implementation
+//  doesn't use. Results are printed to ~ 50 digits.
+//
+#include <fstream>
+
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+
+#include <boost/math/special_functions/bessel.hpp>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+template <class T>
+T bessel_j_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_j(v, x) - boost::math::cyl_bessel_j(v+1, x);
+}
+
+template <class T>
+T bessel_y_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_neumann(v, x) - boost::math::cyl_neumann(v+1, x);
+}
+
+template <class T>
+T bessel_i_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_i(v, x) + boost::math::cyl_bessel_i(v+1, x);
+}
+
+template <class T>
+T bessel_k_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_k(v, x) - boost::math::cyl_bessel_k(v+1, x);
+}
+
+template <class T>
+T sph_bessel_j_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_bessel(1, x);
+   return boost::math::sph_bessel(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_bessel(itrunc(v), x);
+}
+
+template <class T>
+T sph_bessel_y_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_neumann(1, x);
+   return boost::math::sph_neumann(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_neumann(itrunc(v), x);
+}
+
+enum
+{
+   func_J = 0,
+   func_Y,
+   func_I,
+   func_K,
+   func_j,
+   func_y
+};
+
+int cpp_main(int argc, char*argv [])
+{
+   typedef number<mpfr_float_backend<200> > bignum;
+
+   parameter_info<bignum> arg1, arg2;
+   test_data<bignum> data;
+
+   int functype = 0;
+   std::string letter = "J";
+
+   if(argc == 2)
+   {
+      if(std::strcmp(argv[1], "--Y") == 0)
+      {
+         functype = func_Y;
+         letter = "Y";
+      }
+      else if(std::strcmp(argv[1], "--I") == 0)
+      {
+         functype = func_I;
+         letter = "I";
+      }
+      else if(std::strcmp(argv[1], "--K") == 0)
+      {
+         functype = func_K;
+         letter = "K";
+      }
+      else if(std::strcmp(argv[1], "--j") == 0)
+      {
+         functype = func_j;
+         letter = "j";
+      }
+      else if(std::strcmp(argv[1], "--y") == 0)
+      {
+         functype = func_y;
+         letter = "y";
+      }
+      else
+         BOOST_ASSERT(0);
+   }
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the Bessel " << letter << " function derivative\n\n";
+   do{
+      if(0 == get_user_parameter_info(arg1, "a"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "b"))
+         return 1;
+
+      bignum (*fp)(bignum, bignum) = 0;
+      if(functype == func_J)
+         fp = bessel_j_derivative_bare;
+      else if(functype == func_I)
+         fp = bessel_i_derivative_bare;
+      else if(functype == func_K)
+         fp = bessel_k_derivative_bare;
+      else if(functype == func_Y)
+         fp = bessel_y_derivative_bare;
+      else if(functype == func_j)
+         fp = sph_bessel_j_derivative_bare;
+      else if(functype == func_y)
+         fp = sph_bessel_y_derivative_bare;
+      else
+         BOOST_ASSERT(0);
+
+      data.insert(fp, arg2, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=bessel_j_derivative_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "bessel_j_derivative_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(50);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
diff --git a/src/boost/libs/math/tools/bessel_derivative_data_from_bessel_ipps.cpp b/src/boost/libs/math/tools/bessel_derivative_data_from_bessel_ipps.cpp
new file mode 100644
index 00000000..fb9f6f38
--- /dev/null
+++ b/src/boost/libs/math/tools/bessel_derivative_data_from_bessel_ipps.cpp
@@ -0,0 +1,213 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+//  Computes test data for the derivatives of the
+//  various bessel functions. v and x parameters are taken
+//  from bessel_*_data.ipp files. Results of derivatives
+//  are generated by the relations between the derivatives
+//  and Bessel functions, which actual implementation
+//  doesn't use. Results are printed to ~ 50 digits.
+//
+#include <fstream>
+#include <utility>
+#include <map>
+#include <iterator>
+#include <algorithm>
+
+#include <boost/multiprecision/mpfr.hpp>
+
+#include <boost/math/special_functions/bessel.hpp>
+
+template <class T>
+T bessel_j_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_j(v, x) - boost::math::cyl_bessel_j(v+1, x);
+}
+
+template <class T>
+T bessel_y_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_neumann(v, x) - boost::math::cyl_neumann(v+1, x);
+}
+
+template <class T>
+T bessel_i_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_i(v, x) + boost::math::cyl_bessel_i(v+1, x);
+}
+
+template <class T>
+T bessel_k_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_k(v, x) - boost::math::cyl_bessel_k(v+1, x);
+}
+
+template <class T>
+T sph_bessel_j_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_bessel(1, x);
+   return boost::math::sph_bessel(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_bessel(itrunc(v), x);
+}
+
+template <class T>
+T sph_bessel_y_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_neumann(1, x);
+   return boost::math::sph_neumann(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_neumann(itrunc(v), x);
+}
+
+using FloatType = boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<200u> >;
+
+enum class BesselFamily: char
+{
+   J = 0,
+   Y,
+   I,
+   K,
+   j,
+   y
+};
+
+namespace
+{
+
+const unsigned kSignificand = 50u;
+
+const std::map<BesselFamily, std::vector<std::string> > kSourceFiles = {
+   {BesselFamily::J, {"bessel_j_data.ipp", "bessel_j_int_data.ipp", "bessel_j_large_data.ipp"}},
+   {BesselFamily::Y, {"bessel_y01_data.ipp", "bessel_yn_data.ipp", "bessel_yv_data.ipp"}},
+   {BesselFamily::I, {"bessel_i_data.ipp", "bessel_i_int_data.ipp"}},
+   {BesselFamily::K, {"bessel_k_data.ipp", "bessel_k_int_data.ipp"}},
+   {BesselFamily::j, {"sph_bessel_data.ipp"}},
+   {BesselFamily::y, {"sph_neumann_data.ipp"}}
+};
+
+FloatType (*fp)(FloatType, FloatType) = ::bessel_j_derivative_bare;
+
+std::string parseValue(std::string::iterator& iter)
+{
+   using std::isdigit;
+
+   auto value = std::string{};
+
+   while (!isdigit(*iter) && *iter != '-')
+      ++iter;
+   while (isdigit(*iter) || *iter == '.' || *iter == 'e' || *iter == '-' || *iter == '+')
+   {
+      value.push_back(*iter);
+      ++iter;
+   }
+   return value;
+}
+
+void replaceResultInLine(std::string& line)
+{
+   using std::isdigit;
+
+   auto iter = line.begin();
+
+   // parse v and x values from line and convert them to FloatType
+   auto v = FloatType{::parseValue(iter)};
+   auto x = FloatType{::parseValue(iter)};
+   auto result = fp(v, x).str(kSignificand);
+
+   while (!isdigit(*iter) && *iter != '-')
+      ++iter;
+   const auto where_to_write = iter;
+   while (isdigit(*iter) || *iter == '.' || *iter == 'e' || *iter == '-' || *iter == '+')
+      line.erase(iter);
+
+   line.insert(where_to_write, result.begin(), result.end());
+}
+
+void generateResultFile(const std::string& i_file, const std::string& o_file)
+{
+   std::ifstream in{i_file.c_str()};
+   std::ofstream out{o_file.c_str()};
+
+   auto line = std::string{};
+   while (!in.eof())
+   {
+      std::getline(in, line);
+      if (__builtin_expect(line.find("SC_") != std::string::npos, 1))
+         ::replaceResultInLine(line);
+      out << line << std::endl;
+   }
+}
+
+void processFiles(BesselFamily family)
+{
+   const auto& family_files = kSourceFiles.find(family)->second;
+
+   std::for_each(std::begin(family_files), std::end(family_files),
+      [&](const std::string& src){
+         auto new_file = src;
+
+         const auto int_pos = new_file.find("int");
+         const auto large_pos = new_file.find("large");
+         const auto data_pos = new_file.find("data");
+         const auto derivative_pos = (int_pos == std::string::npos ?
+            (large_pos == std::string::npos ? data_pos : large_pos) :
+            int_pos);
+
+         new_file.insert(derivative_pos, "derivative_");
+
+         ::generateResultFile(src, new_file);
+      });
+}
+
+} // namespace
+
+int main(int argc, char*argv [])
+{
+   auto functype = BesselFamily::J;
+   auto letter = std::string{"J"};
+
+   if(argc == 2)
+   {
+      if(std::strcmp(argv[1], "--Y") == 0)
+      {
+         functype = BesselFamily::Y;
+         fp = ::bessel_y_derivative_bare;
+         letter = "Y";
+      }
+      else if(std::strcmp(argv[1], "--I") == 0)
+      {
+         functype = BesselFamily::I;
+         fp = ::bessel_i_derivative_bare;
+         letter = "I";
+      }
+      else if(std::strcmp(argv[1], "--K") == 0)
+      {
+         functype = BesselFamily::K;
+         fp = ::bessel_k_derivative_bare;
+         letter = "K";
+      }
+      else if(std::strcmp(argv[1], "--j") == 0)
+      {
+         functype = BesselFamily::j;
+         fp = ::sph_bessel_j_derivative_bare;
+         letter = "j";
+      }
+      else if(std::strcmp(argv[1], "--y") == 0)
+      {
+         functype = BesselFamily::y;
+         fp = ::sph_bessel_y_derivative_bare;
+         letter = "y";
+      }
+      else
+         BOOST_ASSERT(0);
+   }
+
+   ::processFiles(functype);
+
+   return 0;
+}
diff --git a/src/boost/libs/math/tools/beta_data.cpp b/src/boost/libs/math/tools/beta_data.cpp
new file mode 100644
index 00000000..2ab3336d
--- /dev/null
+++ b/src/boost/libs/math/tools/beta_data.cpp
@@ -0,0 +1,68 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/test_data.hpp>
+#include <fstream>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+struct beta_data_generator
+{
+   mp_t operator()(mp_t a, mp_t b)
+   {
+      if(a < b)
+         throw std::domain_error("");
+      // very naively calculate spots:
+      mp_t g1, g2, g3;
+      int s1, s2, s3;
+      g1 = boost::math::lgamma(a, &s1);
+      g2 = boost::math::lgamma(b, &s2);
+      g3 = boost::math::lgamma(a+b, &s3);
+      g1 += g2 - g3;
+      g1 = exp(g1);
+      g1 *= s1 * s2 * s3;
+      return g1;
+   }
+};
+
+
+int main()
+{
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the beta function:\n"
+      "  beta(a, b)\n\n";
+
+   bool cont;
+   std::string line;
+
+   do{
+      get_user_parameter_info(arg1, "a");
+      get_user_parameter_info(arg2, "b");
+      data.insert(beta_data_generator(), arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=beta_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "beta_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "beta_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/carlson_ellint_data.cpp b/src/boost/libs/math/tools/carlson_ellint_data.cpp
new file mode 100644
index 00000000..5bd98073
--- /dev/null
+++ b/src/boost/libs/math/tools/carlson_ellint_data.cpp
@@ -0,0 +1,630 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+float extern_val;
+// confuse the compilers optimiser, and force a truncation to float precision:
+float truncate_to_float(float const * pf)
+{
+   extern_val = *pf;
+   return *pf;
+}
+
+//
+// Archived here is the original implementation of this
+// function by Xiaogang Zhang, we can use this to
+// generate special test cases for the new version:
+//
+template <typename T, typename Policy>
+T ellint_rj_old(T x, T y, T z, T p, const Policy& pol)
+{
+   T value, u, lambda, alpha, beta, sigma, factor, tolerance;
+   T X, Y, Z, P, EA, EB, EC, E2, E3, S1, S2, S3;
+   unsigned long k;
+
+   BOOST_MATH_STD_USING
+      using namespace boost::math;
+
+   static const char* function = "boost::math::ellint_rj<%1%>(%1%,%1%,%1%)";
+
+   if(x < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument x must be non-negative, but got x = %1%", x, pol);
+   }
+   if(y < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument y must be non-negative, but got y = %1%", y, pol);
+   }
+   if(z < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument z must be non-negative, but got z = %1%", z, pol);
+   }
+   if(p == 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument p must not be zero, but got p = %1%", p, pol);
+   }
+   if(x + y == 0 || y + z == 0 || z + x == 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "At most one argument can be zero, "
+         "only possible result is %1%.", std::numeric_limits<T>::quiet_NaN(), pol);
+   }
+
+   // error scales as the 6th power of tolerance
+   tolerance = pow(T(1) * tools::epsilon<T>() / 3, T(1) / 6);
+
+   // for p < 0, the integral is singular, return Cauchy principal value
+   if(p < 0)
+   {
+      //
+      // We must ensure that (z - y) * (y - x) is positive.
+      // Since the integral is symmetrical in x, y and z
+      // we can just permute the values:
+      //
+      if(x > y)
+         std::swap(x, y);
+      if(y > z)
+         std::swap(y, z);
+      if(x > y)
+         std::swap(x, y);
+
+      T q = -p;
+      T pmy = (z - y) * (y - x) / (y + q);  // p - y
+
+      BOOST_ASSERT(pmy >= 0);
+
+      p = pmy + y;
+      value = ellint_rj_old(x, y, z, p, pol);
+      value *= pmy;
+      value -= 3 * boost::math::ellint_rf(x, y, z, pol);
+      value += 3 * sqrt((x * y * z) / (x * z + p * q)) * boost::math::ellint_rc(x * z + p * q, p * q, pol);
+      value /= (y + q);
+      return value;
+   }
+
+   // duplication
+   sigma = 0;
+   factor = 1;
+   k = 1;
+   do
+   {
+      u = (x + y + z + p + p) / 5;
+      X = (u - x) / u;
+      Y = (u - y) / u;
+      Z = (u - z) / u;
+      P = (u - p) / u;
+
+      if((tools::max)(abs(X), abs(Y), abs(Z), abs(P)) < tolerance)
+         break;
+
+      T sx = sqrt(x);
+      T sy = sqrt(y);
+      T sz = sqrt(z);
+
+      lambda = sy * (sx + sz) + sz * sx;
+      alpha = p * (sx + sy + sz) + sx * sy * sz;
+      alpha *= alpha;
+      beta = p * (p + lambda) * (p + lambda);
+      sigma += factor * boost::math::ellint_rc(alpha, beta, pol);
+      factor /= 4;
+      x = (x + lambda) / 4;
+      y = (y + lambda) / 4;
+      z = (z + lambda) / 4;
+      p = (p + lambda) / 4;
+      ++k;
+   } while(k < policies::get_max_series_iterations<Policy>());
+
+   // Check to see if we gave up too soon:
+   policies::check_series_iterations<T>(function, k, pol);
+
+   // Taylor series expansion to the 5th order
+   EA = X * Y + Y * Z + Z * X;
+   EB = X * Y * Z;
+   EC = P * P;
+   E2 = EA - 3 * EC;
+   E3 = EB + 2 * P * (EA - EC);
+   S1 = 1 + E2 * (E2 * T(9) / 88 - E3 * T(9) / 52 - T(3) / 14);
+   S2 = EB * (T(1) / 6 + P * (T(-6) / 22 + P * T(3) / 26));
+   S3 = P * ((EA - EC) / 3 - P * EA * T(3) / 22);
+   value = 3 * sigma + factor * (S1 + S2 + S3) / (u * sqrt(u));
+
+   return value;
+}
+
+template <typename T, typename Policy>
+T ellint_rd_imp_old(T x, T y, T z, const Policy& pol)
+{
+   T value, u, lambda, sigma, factor, tolerance;
+   T X, Y, Z, EA, EB, EC, ED, EE, S1, S2;
+   unsigned long k;
+
+   BOOST_MATH_STD_USING
+   using namespace boost::math;
+
+   static const char* function = "boost::math::ellint_rd<%1%>(%1%,%1%,%1%)";
+
+   if(x < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument x must be >= 0, but got %1%", x, pol);
+   }
+   if(y < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument y must be >= 0, but got %1%", y, pol);
+   }
+   if(z <= 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "Argument z must be > 0, but got %1%", z, pol);
+   }
+   if(x + y == 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "At most one argument can be zero, but got, x + y = %1%", x + y, pol);
+   }
+
+   // error scales as the 6th power of tolerance
+   tolerance = pow(tools::epsilon<T>() / 3, T(1) / 6);
+
+   // duplication
+   sigma = 0;
+   factor = 1;
+   k = 1;
+   do
+   {
+      u = (x + y + z + z + z) / 5;
+      X = (u - x) / u;
+      Y = (u - y) / u;
+      Z = (u - z) / u;
+      if((tools::max)(abs(X), abs(Y), abs(Z)) < tolerance)
+         break;
+      T sx = sqrt(x);
+      T sy = sqrt(y);
+      T sz = sqrt(z);
+      lambda = sy * (sx + sz) + sz * sx; //sqrt(x * y) + sqrt(y * z) + sqrt(z * x);
+      sigma += factor / (sz * (z + lambda));
+      factor /= 4;
+      x = (x + lambda) / 4;
+      y = (y + lambda) / 4;
+      z = (z + lambda) / 4;
+      ++k;
+   } while(k < policies::get_max_series_iterations<Policy>());
+
+   // Check to see if we gave up too soon:
+   policies::check_series_iterations<T>(function, k, pol);
+
+   // Taylor series expansion to the 5th order
+   EA = X * Y;
+   EB = Z * Z;
+   EC = EA - EB;
+   ED = EA - 6 * EB;
+   EE = ED + EC + EC;
+   S1 = ED * (ED * T(9) / 88 - Z * EE * T(9) / 52 - T(3) / 14);
+   S2 = Z * (EE / 6 + Z * (-EC * T(9) / 22 + Z * EA * T(3) / 26));
+   value = 3 * sigma + factor * (1 + S1 + S2) / (u * sqrt(u));
+
+   return value;
+}
+
+template <typename T, typename Policy>
+T ellint_rf_imp_old(T x, T y, T z, const Policy& pol)
+{
+   T value, X, Y, Z, E2, E3, u, lambda, tolerance;
+   unsigned long k;
+   BOOST_MATH_STD_USING
+   using namespace boost::math;
+   static const char* function = "boost::math::ellint_rf<%1%>(%1%,%1%,%1%)";
+   if(x < 0 || y < 0 || z < 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "domain error, all arguments must be non-negative, "
+         "only sensible result is %1%.",
+         std::numeric_limits<T>::quiet_NaN(), pol);
+   }
+   if(x + y == 0 || y + z == 0 || z + x == 0)
+   {
+      return policies::raise_domain_error<T>(function,
+         "domain error, at most one argument can be zero, "
+         "only sensible result is %1%.",
+         std::numeric_limits<T>::quiet_NaN(), pol);
+   }
+   // Carlson scales error as the 6th power of tolerance,
+   // but this seems not to work for types larger than
+   // 80-bit reals, this heuristic seems to work OK:
+   if(policies::digits<T, Policy>() > 64)
+   {
+      tolerance = pow(tools::epsilon<T>(), T(1) / 4.25f);
+      BOOST_MATH_INSTRUMENT_VARIABLE(tolerance);
+   }
+   else
+   {
+      tolerance = pow(4 * tools::epsilon<T>(), T(1) / 6);
+      BOOST_MATH_INSTRUMENT_VARIABLE(tolerance);
+   }
+   // duplication
+   k = 1;
+   do
+   {
+      u = (x + y + z) / 3;
+      X = (u - x) / u;
+      Y = (u - y) / u;
+      Z = (u - z) / u;
+      // Termination condition:
+      if((tools::max)(abs(X), abs(Y), abs(Z)) < tolerance)
+         break;
+      T sx = sqrt(x);
+      T sy = sqrt(y);
+      T sz = sqrt(z);
+      lambda = sy * (sx + sz) + sz * sx;
+      x = (x + lambda) / 4;
+      y = (y + lambda) / 4;
+      z = (z + lambda) / 4;
+      ++k;
+   } while(k < policies::get_max_series_iterations<Policy>());
+   // Check to see if we gave up too soon:
+   policies::check_series_iterations<T>(function, k, pol);
+   BOOST_MATH_INSTRUMENT_VARIABLE(k);
+   // Taylor series expansion to the 5th order
+   E2 = X * Y - Z * Z;
+   E3 = X * Y * Z;
+   value = (1 + E2*(E2 / 24 - E3*T(3) / 44 - T(0.1)) + E3 / 14) / sqrt(u);
+   BOOST_MATH_INSTRUMENT_VARIABLE(value);
+   return value;
+}
+
+
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rj_data_4e(mp_t n)
+{
+   mp_t result = ellint_rj_old(n, n, n, n, boost::math::policies::policy<>());
+   return boost::math::make_tuple(n, n, n, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data_3e(mp_t x, mp_t p)
+{
+   mp_t r = ellint_rj_old(x, x, x, p, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, x, p, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data_2e_1(mp_t x, mp_t y, mp_t p)
+{
+   mp_t r = ellint_rj_old(x, x, y, p, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, y, p, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data_2e_2(mp_t x, mp_t y, mp_t p)
+{
+   mp_t r = ellint_rj_old(x, y, x, p, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, x, p, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data_2e_3(mp_t x, mp_t y, mp_t p)
+{
+   mp_t r = ellint_rj_old(y, x, x, p, boost::math::policies::policy<>());
+   return boost::math::make_tuple(y, x, x, p, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data_2e_4(mp_t x, mp_t y, mp_t p)
+{
+   mp_t r = ellint_rj_old(x, y, p, p, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, p, p, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data_2e_1(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rd_imp_old(x, y, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data_2e_2(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rd_imp_old(x, x, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data_2e_3(mp_t x)
+{
+   mp_t r = ellint_rd_imp_old(mp_t(0), x, x, boost::math::policies::policy<>());
+   return boost::math::make_tuple(0, x, x, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data_3e(mp_t x)
+{
+   mp_t r = ellint_rd_imp_old(x, x, x, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, x, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data_0xy(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rd_imp_old(mp_t(0), x, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(mp_t(0), x, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_xxx(mp_t x)
+{
+   mp_t r = ellint_rf_imp_old(x, x, x, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, x, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_xyy(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rf_imp_old(x, y, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_xxy(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rf_imp_old(x, x, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, x, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_xyx(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rf_imp_old(x, y, x, boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, x, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_0yy(mp_t y)
+{
+   mp_t r = ellint_rf_imp_old(mp_t(0), y, y, boost::math::policies::policy<>());
+   return boost::math::make_tuple(mp_t(0), y, y, r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data_xy0(mp_t x, mp_t y)
+{
+   mp_t r = ellint_rf_imp_old(x, y, mp_t(0), boost::math::policies::policy<>());
+   return boost::math::make_tuple(x, y, mp_t(0), r);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rf_data(mp_t n)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ur(0, 1);
+   boost::uniform_int<int> ui(-100, 100);
+   float x = ur(r);
+   x = ldexp(x, ui(r));
+   mp_t xr(truncate_to_float(&x));
+   float y = ur(r);
+   y = ldexp(y, ui(r));
+   mp_t yr(truncate_to_float(&y));
+   float z = ur(r);
+   z = ldexp(z, ui(r));
+   mp_t zr(truncate_to_float(&z));
+
+   mp_t result = boost::math::ellint_rf(xr, yr, zr);
+   return boost::math::make_tuple(xr, yr, zr, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t> generate_rc_data(mp_t n)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ur(0, 1);
+   boost::uniform_int<int> ui(-100, 100);
+   float x = ur(r);
+   x = ldexp(x, ui(r));
+   mp_t xr(truncate_to_float(&x));
+   float y = ur(r);
+   y = ldexp(y, ui(r));
+   mp_t yr(truncate_to_float(&y));
+
+   mp_t result = boost::math::ellint_rc(xr, yr);
+   return boost::math::make_tuple(xr, yr, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> generate_rj_data(mp_t n)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ur(0, 1);
+   boost::uniform_real<float> nur(-1, 1);
+   boost::uniform_int<int> ui(-100, 100);
+   float x = ur(r);
+   x = ldexp(x, ui(r));
+   mp_t xr(truncate_to_float(&x));
+   float y = ur(r);
+   y = ldexp(y, ui(r));
+   mp_t yr(truncate_to_float(&y));
+   float z = ur(r);
+   z = ldexp(z, ui(r));
+   mp_t zr(truncate_to_float(&z));
+   float p = nur(r);
+   p = ldexp(p, ui(r));
+   mp_t pr(truncate_to_float(&p));
+
+   boost::math::ellint_rj(x, y, z, p);
+
+   mp_t result = boost::math::ellint_rj(xr, yr, zr, pr);
+   return boost::math::make_tuple(xr, yr, zr, pr, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rd_data(mp_t n)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ur(0, 1);
+   boost::uniform_int<int> ui(-100, 100);
+   float x = ur(r);
+   x = ldexp(x, ui(r));
+   mp_t xr(truncate_to_float(&x));
+   float y = ur(r);
+   y = ldexp(y, ui(r));
+   mp_t yr(truncate_to_float(&y));
+   float z = ur(r);
+   z = ldexp(z, ui(r));
+   mp_t zr(truncate_to_float(&z));
+
+   mp_t result = boost::math::ellint_rd(xr, yr, zr);
+   return boost::math::make_tuple(xr, yr, zr, result);
+}
+
+mp_t rg_imp(mp_t x, mp_t y, mp_t z)
+{
+   using std::swap;
+   // If z is zero permute so the call to RD is valid:
+   if(z == 0)
+      swap(x, z);
+   return (z * ellint_rf_imp_old(x, y, z, boost::math::policies::policy<>())
+      - (x - z) * (y - z) * ellint_rd_imp_old(x, y, z, boost::math::policies::policy<>()) / 3
+      + sqrt(x * y / z)) / 2;
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_data(mp_t n)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ur(0, 1);
+   boost::uniform_int<int> ui(-100, 100);
+   float x = ur(r);
+   x = ldexp(x, ui(r));
+   mp_t xr(truncate_to_float(&x));
+   float y = ur(r);
+   y = ldexp(y, ui(r));
+   mp_t yr(truncate_to_float(&y));
+   float z = ur(r);
+   z = ldexp(z, ui(r));
+   mp_t zr(truncate_to_float(&z));
+
+   mp_t result = rg_imp(xr, yr, zr);
+   return boost::math::make_tuple(xr, yr, zr, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xxx(mp_t x)
+{
+   mp_t result = rg_imp(x, x, x);
+   return boost::math::make_tuple(x, x, x, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xyy(mp_t x, mp_t y)
+{
+   mp_t result = rg_imp(x, y, y);
+   return boost::math::make_tuple(x, y, y, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xxy(mp_t x, mp_t y)
+{
+   mp_t result = rg_imp(x, x, y);
+   return boost::math::make_tuple(x, x, y, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xyx(mp_t x, mp_t y)
+{
+   mp_t result = rg_imp(x, y, x);
+   return boost::math::make_tuple(x, y, x, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_0xx(mp_t x)
+{
+   mp_t result = rg_imp(mp_t(0), x, x);
+   return boost::math::make_tuple(mp_t(0), x, x, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_x0x(mp_t x)
+{
+   mp_t result = rg_imp(x, mp_t(0), x);
+   return boost::math::make_tuple(x, mp_t(0), x, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xx0(mp_t x)
+{
+   mp_t result = rg_imp(x, x, mp_t(0));
+   return boost::math::make_tuple(x, x, mp_t(0), result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_00x(mp_t x)
+{
+   mp_t result = sqrt(x) / 2;
+   return boost::math::make_tuple(mp_t(0), mp_t(0), x, result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_0x0(mp_t x)
+{
+   mp_t result = sqrt(x) / 2;
+   return boost::math::make_tuple(mp_t(0), x, mp_t(0), result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_x00(mp_t x)
+{
+   mp_t result = sqrt(x) / 2;
+   return boost::math::make_tuple(x, mp_t(0), mp_t(0), result);
+}
+
+boost::math::tuple<mp_t, mp_t, mp_t, mp_t> generate_rg_xy0(mp_t x, mp_t y)
+{
+   mp_t result = rg_imp(x, y, mp_t(0));
+   return boost::math::make_tuple(x, y, mp_t(0), result);
+}
+
+int cpp_main(int argc, char*argv[])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+#if 0
+      int count;
+      std::cout << "Number of points: ";
+      std::cin >> count;
+      
+      arg1 = make_periodic_param(mp_t(0), mp_t(1), count);
+      arg1.type |= dummy_param;
+
+      //
+      // Change this next line to get the R variant you want:
+      //
+      data.insert(&generate_rd_data, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+#else
+      get_user_parameter_info(arg1, "x");
+      get_user_parameter_info(arg2, "y");
+      //get_user_parameter_info(arg3, "p");
+      arg1.type |= dummy_param;
+      arg2.type |= dummy_param;
+      //arg3.type |= dummy_param;
+      data.insert(generate_rd_data_0xy, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+#endif
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_rf_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_rf_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/cbrt_data.cpp b/src/boost/libs/math/tools/cbrt_data.cpp
new file mode 100644
index 00000000..95c0a46f
--- /dev/null
+++ b/src/boost/libs/math/tools/cbrt_data.cpp
@@ -0,0 +1,64 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+struct cube_data_generator
+{
+   mp_t operator()(mp_t z)
+   {
+      mp_t result = z*z*z;
+      // if result is out of range of a float, 
+      // don't include in test data as it messes up our results:
+      if(result > (std::numeric_limits<float>::max)())
+         throw std::domain_error("");
+      if(result < (std::numeric_limits<float>::min)())
+         throw std::domain_error("");
+      return result;
+   }
+};
+
+int main(int argc, char* argv[])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the cbrt function:\n\n";
+
+   bool cont;
+   std::string line;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(cube_data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=cbrt_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "cbrt_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "cbrt_data");
+   
+   return 0;
+}
+
+
+
+
diff --git a/src/boost/libs/math/tools/digamma_data.cpp b/src/boost/libs/math/tools/digamma_data.cpp
new file mode 100644
index 00000000..d2f7c315
--- /dev/null
+++ b/src/boost/libs/math/tools/digamma_data.cpp
@@ -0,0 +1,64 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the digamma function:\n"
+      "  digamma(z)\n\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(&boost::math::digamma<mp_t>, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=digamma_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "digamma_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "digamma_data");
+   
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/ellint_d2_data.cpp b/src/boost/libs/math/tools/ellint_d2_data.cpp
new file mode 100644
index 00000000..79263711
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_d2_data.cpp
@@ -0,0 +1,64 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+mp_t ellint_d(mp_t phi, mp_t k)
+{
+   return (boost::math::ellint_1(k, phi) - boost::math::ellint_2(k, phi)) / (k * k);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "k"))
+         return 1;
+
+      mp_t(*fp)(mp_t, mp_t) = &ellint_d;
+      data.insert(fp, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_d2_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_d2_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/ellint_d_data.cpp b/src/boost/libs/math/tools/ellint_d_data.cpp
new file mode 100644
index 00000000..f2c30f37
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_d_data.cpp
@@ -0,0 +1,62 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+mp_t ellint_d(mp_t k)
+{
+   return (boost::math::ellint_1(k) - boost::math::ellint_2(k)) / (k * k);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "k"))
+         return 1;
+
+      mp_t(*fp)(mp_t) = &ellint_d;
+      data.insert(fp, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_d_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_d_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/ellint_e_data.cpp b/src/boost/libs/math/tools/ellint_e_data.cpp
new file mode 100644
index 00000000..d68d3f20
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_e_data.cpp
@@ -0,0 +1,60 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+template<class T>
+T ellint_e_data(T k)
+{
+   return ellint_2(k);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+
+      data.insert(&ellint_e_data<mp_t>, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_e_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_e_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/ellint_f_data.cpp b/src/boost/libs/math/tools/ellint_f_data.cpp
new file mode 100644
index 00000000..4ecc4f01
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_f_data.cpp
@@ -0,0 +1,72 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+float extern_val;
+// confuse the compilers optimiser, and force a truncation to float precision:
+float truncate_to_float(float const * pf)
+{
+   extern_val = *pf;
+   return *pf;
+}
+
+
+
+template<class T>
+T ellint_f_data(T phi, T k)
+{
+   return ellint_1(k, phi);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "k"))
+         return 1;
+
+      data.insert(&ellint_f_data<mp_t>, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_f.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_f.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/ellint_k_data.cpp b/src/boost/libs/math/tools/ellint_k_data.cpp
new file mode 100644
index 00000000..8f58cb0d
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_k_data.cpp
@@ -0,0 +1,60 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+template<class T>
+T ellint_k_data(T k)
+{
+   return ellint_1(k);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+
+      data.insert(&ellint_k_data<mp_t>, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_k_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_k_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/ellint_pi2_data.cpp b/src/boost/libs/math/tools/ellint_pi2_data.cpp
new file mode 100644
index 00000000..e7b63ec4
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_pi2_data.cpp
@@ -0,0 +1,59 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "n"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "k"))
+         return 1;
+
+      mp_t (*fp)(mp_t, mp_t) = &ellint_3;
+      data.insert(fp, arg2, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_pi2_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_pi2_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/ellint_pi3_data.cpp b/src/boost/libs/math/tools/ellint_pi3_data.cpp
new file mode 100644
index 00000000..bc09d9cf
--- /dev/null
+++ b/src/boost/libs/math/tools/ellint_pi3_data.cpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+float extern_val;
+// confuse the compilers optimiser, and force a truncation to float precision:
+float truncate_to_float(float const * pf)
+{
+   extern_val = *pf;
+   return *pf;
+}
+
+boost::math::tuple<mp_t, mp_t> generate_data(mp_t n, mp_t phi)
+{
+   static boost::mt19937 r;
+   boost::uniform_real<float> ui(0, 1);
+   float k = ui(r);
+   mp_t kr(truncate_to_float(&k));
+   mp_t result = boost::math::ellint_3(kr, n, phi);
+   return boost::math::make_tuple(kr, result);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "n"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "phi"))
+         return 1;
+
+      data.insert(&generate_data, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=ellint_pi3_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ellint_pi3_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/erf_data.cpp b/src/boost/libs/math/tools/erf_data.cpp
new file mode 100644
index 00000000..b2e76b80
--- /dev/null
+++ b/src/boost/libs/math/tools/erf_data.cpp
@@ -0,0 +1,218 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/erf.hpp> // for inverses
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+struct erf_data_generator
+{
+   boost::math::tuple<mp_t, mp_t> operator()(mp_t z)
+   {
+      // very naively calculate spots using the gamma function at high precision:
+      int sign = 1;
+      if(z < 0)
+      {
+         sign = -1;
+         z = -z;
+      }
+      mp_t g1, g2;
+      g1 = boost::math::tgamma_lower(mp_t(0.5), z * z);
+      g1 /= sqrt(boost::math::constants::pi<mp_t>());
+      g1 *= sign;
+
+      if(z < 0.5)
+      {
+         g2 = 1 - (sign * g1);
+      }
+      else
+      {
+         g2 = boost::math::tgamma(mp_t(0.5), z * z);
+         g2 /= sqrt(boost::math::constants::pi<mp_t>());
+      }
+      if(sign < 1)
+         g2 = 2 - g2;
+      return boost::math::make_tuple(g1, g2);
+   }
+};
+
+double double_factorial(int N)
+{
+   double result = 1;
+   while(N > 2)
+   {
+      N -= 2;
+      result *= N;
+   }
+   return result;
+}
+
+void asymptotic_limit(int Bits)
+{
+   //
+   // The following block of code estimates how large z has
+   // to be before we can use the asymptotic expansion for
+   // erf/erfc and still get convergence: the series becomes
+   // divergent eventually so we have to be careful!
+   //
+   double result = (std::numeric_limits<double>::max)();
+   int terms = 0;
+   for(int n = 1; n < 15; ++n)
+   {
+      double lim = (Bits-n) * log(2.0) - log(sqrt(3.14)) + log(double_factorial(2*n+1));
+      double x = 1;
+      while(x*x + (2*n+1)*log(x) <= lim)
+         x += 0.1;
+      if(x < result)
+      {
+         result = x;
+         terms = n;
+      }
+   }
+
+   std::cout << "Erf asymptotic limit for " 
+      << Bits << " bit numbers is " 
+      << result << " after approximately " 
+      << terms << " terms." << std::endl;
+
+   result = (std::numeric_limits<double>::max)();
+   terms = 0;
+   for(int n = 1; n < 30; ++n)
+   {
+      double x = pow(double_factorial(2*n+1)/pow(2.0, n-Bits), 1 / (2.0*n));
+      if(x < result)
+      {
+         result = x;
+         terms = n;
+      }
+   }
+
+   std::cout << "Erfc asymptotic limit for " 
+      << Bits << " bit numbers is " 
+      << result << " after approximately " 
+      << terms << " terms." << std::endl;
+}
+
+boost::math::tuple<mp_t, mp_t> erfc_inv(mp_t r)
+{
+   mp_t x = exp(-r * r);
+   x = x.convert_to<double>();
+   std::cout << x << "   ";
+   mp_t result = boost::math::erfc_inv(x);
+   std::cout << result << std::endl;
+   return boost::math::make_tuple(x, result);
+}
+
+
+int main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc >= 2)
+   {
+      if(strcmp(argv[1], "--limits") == 0)
+      {
+         asymptotic_limit(24);
+         asymptotic_limit(53);
+         asymptotic_limit(64);
+         asymptotic_limit(106);
+         asymptotic_limit(113);
+         return 0;
+      }
+      else if(strcmp(argv[1], "--erf_inv") == 0)
+      {
+         mp_t (*f)(mp_t);
+         f = boost::math::erf_inv;
+         std::cout << "Welcome.\n"
+            "This program will generate spot tests for the inverse erf function:\n";
+         std::cout << "Enter the number of data points: ";
+         int points;
+         std::cin >> points;
+         data.insert(f, make_random_param(mp_t(-1), mp_t(1), points));
+      }
+      else if(strcmp(argv[1], "--erfc_inv") == 0)
+      {
+         boost::math::tuple<mp_t, mp_t> (*f)(mp_t);
+         f = erfc_inv;
+         std::cout << "Welcome.\n"
+            "This program will generate spot tests for the inverse erfc function:\n";
+         std::cout << "Enter the maximum *result* expected from erfc_inv: ";
+         double max_val;
+         std::cin >> max_val;
+         std::cout << "Enter the number of data points: ";
+         int points;
+         std::cin >> points;
+         parameter_info<mp_t> arg = make_random_param(mp_t(0), mp_t(max_val), points);
+         arg.type |= dummy_param;
+         data.insert(f, arg);
+      }
+   }
+   else
+   {
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the erf and erfc functions:\n"
+         "  erf(z) and erfc(z)\n\n";
+
+      do{
+         if(0 == get_user_parameter_info(arg1, "a"))
+            return 1;
+         data.insert(erf_data_generator(), arg1);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+
+   std::cout << "Enter name of test data file [default=erf_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "erf_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "erf_data");
+   
+   return 0;
+}
+
+/* Output for asymptotic limits:
+
+Erf asymptotic limit for 24 bit numbers is 2.8 after approximately 6 terms.
+Erfc asymptotic limit for 24 bit numbers is 4.12064 after approximately 17 terms.
+Erf asymptotic limit for 53 bit numbers is 4.3 after approximately 11 terms.
+Erfc asymptotic limit for 53 bit numbers is 6.19035 after approximately 29 terms.
+Erf asymptotic limit for 64 bit numbers is 4.8 after approximately 12 terms.
+Erfc asymptotic limit for 64 bit numbers is 7.06004 after approximately 29 terms.
+Erf asymptotic limit for 106 bit numbers is 6.5 after approximately 14 terms.
+Erfc asymptotic limit for 106 bit numbers is 11.6626 after approximately 29 terms.
+Erf asymptotic limit for 113 bit numbers is 6.8 after approximately 14 terms.
+Erfc asymptotic limit for 113 bit numbers is 12.6802 after approximately 29 terms.
+*/
+
diff --git a/src/boost/libs/math/tools/expint_data.cpp b/src/boost/libs/math/tools/expint_data.cpp
new file mode 100644
index 00000000..e34e3b54
--- /dev/null
+++ b/src/boost/libs/math/tools/expint_data.cpp
@@ -0,0 +1,64 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+struct expint_data_generator
+{
+   mp_t operator()(mp_t a, mp_t b)
+   {
+      unsigned n = boost::math::tools::real_cast<unsigned>(a);
+      std::cout << n << "  " << b << "  ";
+      mp_t result = boost::math::expint(n, b);
+      std::cout << result << std::endl;
+      return result;
+   }
+};
+
+
+int main()
+{
+   boost::math::expint(1, 0.06227754056453704833984375);
+   std::cout << boost::math::expint(1, mp_t(0.5)) << std::endl;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the expint function:\n"
+      "  expint(a, b)\n\n";
+
+   bool cont;
+   std::string line;
+
+   do{
+      get_user_parameter_info(arg1, "a");
+      get_user_parameter_info(arg2, "b");
+      data.insert(expint_data_generator(), arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=expint_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "expint_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "expint_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/expint_i_data.cpp b/src/boost/libs/math/tools/expint_i_data.cpp
new file mode 100644
index 00000000..f8b6166a
--- /dev/null
+++ b/src/boost/libs/math/tools/expint_i_data.cpp
@@ -0,0 +1,50 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+
+int main()
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   mp_t (*f)(mp_t) = boost::math::expint;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the expint Ei function:\n"
+      "  expint(a)\n\n";
+
+   bool cont;
+   std::string line;
+
+   do{
+      get_user_parameter_info(arg1, "a");
+      data.insert(f, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=expinti_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "expinti_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "expinti_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/factorial_tables.cpp b/src/boost/libs/math/tools/factorial_tables.cpp
new file mode 100644
index 00000000..2a1382df
--- /dev/null
+++ b/src/boost/libs/math/tools/factorial_tables.cpp
@@ -0,0 +1,41 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/limits.hpp>
+#include <vector>
+#include "mp_t.hpp"
+
+void write_table(unsigned max_exponent)
+{
+   mp_t max = ldexp(mp_t(1), (int)max_exponent);
+
+   std::vector<mp_t> factorials;
+   factorials.push_back(1);
+
+   mp_t f(1);
+   unsigned i = 1;
+
+   while(f < max)
+   {
+      factorials.push_back(f);
+      ++i;
+      f *= i;
+   }
+
+   //
+   // now write out the results to cout:
+   //
+   std::cout << std::scientific << std::setprecision(40);
+   std::cout << "   static const boost::array<T, " << factorials.size() << "> factorials = {\n";
+   for(unsigned j = 0; j < factorials.size(); ++j)
+      std::cout << "      " << factorials[j] << "L,\n";
+   std::cout << "   };\n\n";
+}
+
+
+int main()
+{
+   write_table(16384/*std::numeric_limits<float>::max_exponent*/);
+}
diff --git a/src/boost/libs/math/tools/gamma_P_inva_data.cpp b/src/boost/libs/math/tools/gamma_P_inva_data.cpp
new file mode 100644
index 00000000..3136e59b
--- /dev/null
+++ b/src/boost/libs/math/tools/gamma_P_inva_data.cpp
@@ -0,0 +1,69 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+//
+// Force trunctation to float precision of input values:
+// we must ensure that the input values are exactly representable
+// in whatever type we are testing, or the output values will all
+// be thrown off:
+//
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+struct gamma_inverse_generator_a
+{
+   boost::math::tuple<mp_t, mp_t> operator()(const mp_t x, const mp_t p)
+   {
+      mp_t x1 = boost::math::gamma_p_inva(x, p);
+      mp_t x2 = boost::math::gamma_q_inva(x, p);
+      std::cout << "Inverse for " << x << " " << p << std::endl;
+      return boost::math::make_tuple(x1, x2);
+   }
+};
+
+
+int main(int argc, char*argv [])
+{
+   bool cont;
+   std::string line;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse incomplete gamma function:\n"
+      "  gamma_p_inva(a, p) and gamma_q_inva(a, q)\n\n";
+
+   arg1 = make_power_param<mp_t>(mp_t(0), -4, 24);
+   arg2 = make_random_param<mp_t>(mp_t(0), mp_t(1), 15);
+   data.insert(gamma_inverse_generator_a(), arg1, arg2);
+ 
+   line = "igamma_inva_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "igamma_inva_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/gauss_kronrod_constants.cpp b/src/boost/libs/math/tools/gauss_kronrod_constants.cpp
new file mode 100644
index 00000000..73fee4c1
--- /dev/null
+++ b/src/boost/libs/math/tools/gauss_kronrod_constants.cpp
@@ -0,0 +1,158 @@
+//  Copyright (c) 2017 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+template <class T>
+void print_gauss_constants(const char* suffix, int prec, int tag)
+{
+   auto ab = T::abscissa();
+   auto w = T::weights();
+   std::cout << std::setprecision(prec) << std::scientific;
+   std::size_t order = (ab[0] == 0) ? (ab.size() * 2) - 1 : ab.size() * 2;
+   std::cout <<
+      "template <class T>\n"
+      "class gauss_detail<T, " << order << ", " << tag << ">\n"
+      "   {\n"
+      "   public:\n"
+      "      static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> const & abscissa()\n"
+      "      {\n"
+      "         static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> data = {\n";
+   for (unsigned i = 0; i < ab.size(); ++i)
+      std::cout << "            " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << ab[i] << (prec > 40 ? ")" : suffix) << ",\n";
+   std::cout <<
+      "};\n"
+      "         return data;\n"
+      "      }\n"
+      "      static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> const & weights()\n"
+      "      {\n"
+      "         static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> data = {\n";
+   for (unsigned i = 0; i < w.size(); ++i)
+      std::cout << "            " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << w[i] << (prec > 40 ? ")" : suffix) << ",\n";
+
+   std::cout << "         };\n"
+      "         return data;\n"
+      "      }\n"
+      "   };\n\n";
+}
+
+template <class T>
+void print_gauss_kronrod_constants(const char* suffix, int prec, int tag)
+{
+   auto ab = T::abscissa();
+   auto w = T::weights();
+   std::cout << std::setprecision(prec) << std::scientific;
+   std::size_t order = (ab.size() * 2) - 1;
+   std::cout <<
+      "   template <class T>\n"
+      "   class gauss_kronrod_detail<T, " << order << ", " << tag << ">\n"
+      "   {\n"
+      "   public:\n"
+      "      static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> const & abscissa()\n"
+      "      {\n"
+      "         static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> data = {\n";
+
+   for (unsigned i = 0; i < ab.size(); ++i)
+      std::cout << "            " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << ab[i] << (prec > 40 ? ")" : suffix) << ",\n";
+
+   std::cout << "         };\n"
+      "         return data;\n"
+      "      }\n"
+      "      static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> const & weights()\n"
+      "      {\n"
+      "         static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> data = {\n";
+
+   for (unsigned i = 0; i < w.size(); ++i)
+      std::cout << "            " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << w[i] << (prec > 40 ? ")" : suffix) << ",\n";
+
+   std::cout << "         };\n"
+      "         return data;\n"
+      "      }\n"
+      "   };\n\n";
+}
+
+
+
+int main()
+{
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<250> > mp_type;
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4);
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 115, 4);
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 115, 4);
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("", 115, 4);
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("", 115, 4);
+
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("f", 9, 0);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("", 17, 1);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("L", 35, 2);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("Q", 35, 3);
+   print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("", 115, 4);
+
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("", 115, 4);
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("", 115, 4);
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("", 115, 4);
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("", 115, 4);
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("", 115, 4);
+
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("f", 9, 0);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("", 17, 1);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("L", 35, 2);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("Q", 35, 3);
+   print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("", 115, 4);
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/generate_rational_code.cpp b/src/boost/libs/math/tools/generate_rational_code.cpp
new file mode 100644
index 00000000..4f4d62a0
--- /dev/null
+++ b/src/boost/libs/math/tools/generate_rational_code.cpp
@@ -0,0 +1,738 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <string>
+#include <sstream>
+
+int max_order = 20;
+const char* path_prefix = "..\\..\\..\\boost\\math\\tools\\detail\\polynomial_";
+const char* path_prefix2 = "..\\..\\..\\boost\\math\\tools\\detail\\rational_";
+
+const char* copyright_string = 
+"//  (C) Copyright John Maddock 2007.\n"
+"//  Use, modification and distribution are subject to the\n"
+"//  Boost Software License, Version 1.0. (See accompanying file\n"
+"//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)\n"
+"//\n"
+"//  This file is machine generated, do not edit by hand\n\n";
+
+
+void print_polynomials(int max_order)
+{
+   for(int i = 2; i <= max_order; ++i)
+   {
+      std::stringstream filename;
+      filename << path_prefix << "horner1_" << i << ".hpp";
+      std::ofstream ofs(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Polynomial evaluation using Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]);\n"
+         "}\n\n";
+
+      for(int order = 2; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   return static_cast<V>(";
+         
+         for(int bracket = 2; bracket < order; ++bracket)
+            ofs << "(";
+         ofs << "a[" << order - 1 << "] * x + a[" << order - 2 << "]" ;
+         for(int item = order - 3; item >= 0; --item)
+         {
+            ofs << ") * x + a[" << item << "]";
+         }
+         
+         ofs << ");\n"
+         "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+
+      filename.str("");
+      filename << path_prefix << "horner2_" << i << ".hpp";
+      ofs.close();
+      ofs.open(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Polynomial evaluation using second order Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[1] * x + a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<3>*)\n"
+         "{\n"
+         "   return static_cast<V>((a[2] * x + a[1]) * x + a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<4>*)\n"
+         "{\n"
+         "   return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]);\n"
+         "}\n\n";
+
+      for(int order = 5; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   V x2 = x * x;\n"
+         "   return static_cast<V>(";
+
+         if(order & 1)
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 1 << "] * x2 + a[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << " + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 2 << "] * x2 + a[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << ") * x";
+         }
+         else
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 1 << "] * x2 + a[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << ") * x + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 2 << "] * x2 + a[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+         }
+         ofs << ");\n"
+            "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+
+
+      filename.str("");
+      filename << path_prefix << "horner3_" << i << ".hpp";
+      ofs.close();
+      ofs.open(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Unrolled polynomial evaluation using second order Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_POLY_EVAL_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[1] * x + a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<3>*)\n"
+         "{\n"
+         "   return static_cast<V>((a[2] * x + a[1]) * x + a[0]);\n"
+         "}\n\n"
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<4>*)\n"
+         "{\n"
+         "   return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]);\n"
+         "}\n\n";
+
+      for(int order = 5; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class V>\n"
+         "inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   V x2 = x * x;\n"
+         "   V t[2];\n";
+
+         if(order & 1)
+         {
+            ofs << "   t[0] = static_cast<V>(a[" << order - 1 << "] * x2 + a[" << order - 3 << "]);\n" ;
+            ofs << "   t[1] = static_cast<V>(a[" << order - 2 << "] * x2 + a[" << order - 4 << "]);\n" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << "   t[0] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "   t[1] *= x2;\n";
+               ofs << "   t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs << "   t[1] += static_cast<V>(a[" << item - 1 << "]);\n";
+            }
+            ofs << 
+               "   t[1] *= x;\n"
+               "   return t[0] + t[1];\n";
+         }
+         else
+         {
+            ofs << "   t[0] = a[" << order - 1 << "] * x2 + a[" << order - 3 << "];\n" ;
+            ofs << "   t[1] = a[" << order - 2 << "] * x2 + a[" << order - 4 << "];\n" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << "   t[0] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "   t[1] *= x2;\n";
+               ofs << "   t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs <<  "   t[1] += static_cast<V>(a[" << item - 1 << "]);\n";
+            }
+            ofs << "   t[0] *= x;\n";
+            ofs << "   return t[0] + t[1];\n";
+         }
+         ofs << "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+   }
+}
+
+void print_rationals(int max_order)
+{
+   for(int i = 2; i <= max_order; ++i)
+   {
+      std::stringstream filename;
+      filename << path_prefix2 << "horner1_" << i << ".hpp";
+      std::ofstream ofs(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Polynomial evaluation using Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_POLY_RAT_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_POLY_RAT_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]) / static_cast<V>(b[0]);\n"
+         "}\n\n";
+
+      for(int order = 2; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   if(x <= 1)\n"
+         "     return static_cast<V>((";
+         
+         for(int bracket = 2; bracket < order; ++bracket)
+            ofs << "(";
+         ofs << "a[" << order - 1 << "] * x + a[" << order - 2 << "]" ;
+         for(int item = order - 3; item >= 0; --item)
+         {
+            ofs << ") * x + a[" << item << "]";
+         }
+
+         ofs << ") / (";
+         for(int bracket = 2; bracket < order; ++bracket)
+            ofs << "(";
+         ofs << "b[" << order - 1 << "] * x + b[" << order - 2 << "]" ;
+         for(int item = order - 3; item >= 0; --item)
+         {
+            ofs << ") * x + b[" << item << "]";
+         }
+         
+         ofs << "));\n   else\n   {\n      V z = 1 / x;\n      return static_cast<V>((";
+
+         for(int bracket = order - 1; bracket > 1; --bracket)
+            ofs << "(";
+         ofs << "a[" << 0 << "] * z + a[" << 1 << "]" ;
+         for(int item = 2; item <= order - 1; ++item)
+         {
+            ofs << ") * z + a[" << item << "]";
+         }
+
+         ofs << ") / (";
+         for(int bracket = 2; bracket < order; ++bracket)
+            ofs << "(";
+         ofs << "b[" << 0 << "] * z + b[" << 1 << "]" ;
+         for(int item = 2; item <= order - 1; ++item)
+         {
+            ofs << ") * z + b[" << item << "]";
+         }
+         
+         ofs << "));\n   }\n";
+         
+         ofs << "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+
+      filename.str("");
+      filename << path_prefix2 << "horner2_" << i << ".hpp";
+      ofs.close();
+      ofs.open(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Polynomial evaluation using second order Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_RAT_EVAL_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_RAT_EVAL_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]) / static_cast<V>(b[0]);\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*)\n"
+         "{\n"
+         "   return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0]));\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*)\n"
+         "{\n"
+         "   return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*)\n"
+         "{\n"
+         "   return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0]));\n"
+         "}\n\n";
+
+      for(int order = 5; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   if(x <= 1)\n   {\n"
+         "      V x2 = x * x;\n"
+         "      return static_cast<V>((";
+
+         if(order & 1)
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 1 << "] * x2 + a[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << " + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 2 << "] * x2 + a[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << ") * x";
+         }
+         else
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 1 << "] * x2 + a[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+            ofs << ") * x + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << order - 2 << "] * x2 + a[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + a[" << item << "]";
+            }
+         }
+         ofs << ") / (";
+         if(order & 1)
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << order - 1 << "] * x2 + b[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + b[" << item << "]";
+            }
+            ofs << " + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << order - 2 << "] * x2 + b[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + b[" << item << "]";
+            }
+            ofs << ") * x";
+         }
+         else
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2; ++bracket)
+               ofs << "(";
+            ofs << "b[" << order - 1 << "] * x2 + b[" << order - 3 << "]" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + b[" << item << "]";
+            }
+            ofs << ") * x + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << order - 2 << "] * x2 + b[" << order - 4 << "]" ;
+            for(int item = order - 6; item >= 0; item -= 2)
+            {
+               ofs << ") * x2 + b[" << item << "]";
+            }
+         }
+
+         ofs << "));\n   }\n   else\n   {\n      V z = 1 / x;\n      V z2 = 1 / (x * x);\n      return static_cast<V>((";
+
+         if(order & 1)
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << 0 << "] * z2 + a[" << 2 << "]" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << ") * z2 + a[" << item << "]";
+            }
+            ofs << " + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << 1 << "] * z2 + a[" << 3 << "]" ;
+            for(int item = 5; item < order; item += 2)
+            {
+               ofs << ") * z2 + a[" << item << "]";
+            }
+            ofs << ") * z";
+         }
+         else
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2; ++bracket)
+               ofs << "(";
+            ofs << "a[" << 0 << "] * z2 + a[" << 2 << "]" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << ") * z2 + a[" << item << "]";
+            }
+            ofs << ") * z + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "a[" << 1 << "] * z2 + a[" << 3 << "]" ;
+            for(int item = 5; item < order; item += 2)
+            {
+               ofs << ") * z2 + a[" << item << "]";
+            }
+         }
+
+         ofs << ") / (";
+
+         if(order & 1)
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << 0 << "] * z2 + b[" << 2 << "]" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << ") * z2 + b[" << item << "]";
+            }
+            ofs << " + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << 1 << "] * z2 + b[" << 3 << "]" ;
+            for(int item = 5; item < order; item += 2)
+            {
+               ofs << ") * z2 + b[" << item << "]";
+            }
+            ofs << ") * z";
+         }
+         else
+         {
+            for(int bracket = 0; bracket < (order - 1) / 2; ++bracket)
+               ofs << "(";
+            ofs << "b[" << 0 << "] * z2 + b[" << 2 << "]" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << ") * z2 + b[" << item << "]";
+            }
+            ofs << ") * z + ";
+            for(int bracket = 0; bracket < (order - 1) / 2 - 1; ++bracket)
+               ofs << "(";
+            ofs << "b[" << 1 << "] * z2 + b[" << 3 << "]" ;
+            for(int item = 5; item < order; item += 2)
+            {
+               ofs << ") * z2 + b[" << item << "]";
+            }
+         }
+         ofs << "));\n   }\n";
+
+         ofs << "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+
+
+      filename.str("");
+      filename << path_prefix2 << "horner3_" << i << ".hpp";
+      ofs.close();
+      ofs.open(filename.str().c_str());
+      if(ofs.bad())
+         break;
+      //
+      // Output the boilerplate at the top of the header:
+      //
+      ofs << copyright_string <<
+         "// Polynomial evaluation using second order Horners rule\n"
+         "#ifndef BOOST_MATH_TOOLS_RAT_EVAL_" << i << "_HPP\n"
+         "#define BOOST_MATH_TOOLS_RAT_EVAL_" << i << "_HPP\n\n"
+         "namespace boost{ namespace math{ namespace tools{ namespace detail{\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*)\n"
+         "{\n"
+         "   return static_cast<V>(0);\n"
+         "}\n"
+         "\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*)\n"
+         "{\n"
+         "   return static_cast<V>(a[0]) / static_cast<V>(b[0]);\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*)\n"
+         "{\n"
+         "   return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0]));\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*)\n"
+         "{\n"
+         "   return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));\n"
+         "}\n\n"
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*)\n"
+         "{\n"
+         "   return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0]));\n"
+         "}\n\n";
+
+      for(int order = 5; order <= i; ++order)
+      {
+         ofs << 
+         "template <class T, class U, class V>\n"
+         "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<" << order << ">*)\n"
+         "{\n"
+         "   if(x <= 1)\n   {\n"
+         "      V x2 = x * x;\n"
+         "      V t[4];\n";
+
+         if(order & 1)
+         {
+            ofs << "      t[0] = a[" << order - 1 << "] * x2 + a[" << order - 3 << "];\n" ;
+            ofs << "      t[1] = a[" << order - 2 << "] * x2 + a[" << order - 4 << "];\n" ;
+            ofs << "      t[2] = b[" << order - 1 << "] * x2 + b[" << order - 3 << "];\n" ;
+            ofs << "      t[3] = b[" << order - 2 << "] * x2 + b[" << order - 4 << "];\n" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << "      t[0] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[1] *= x2;\n";
+               ofs << "      t[2] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[3] *= x2;\n";
+               ofs << "      t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[1] += static_cast<V>(a[" << item - 1 << "]);\n";
+               ofs << "      t[2] += static_cast<V>(b[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[3] += static_cast<V>(b[" << item - 1 << "]);\n";
+            }
+            ofs << "      t[1] *= x;\n";
+            ofs << "      t[3] *= x;\n";
+         }
+         else
+         {
+            ofs << "      t[0] = a[" << order - 1 << "] * x2 + a[" << order - 3 << "];\n" ;
+            ofs << "      t[1] = a[" << order - 2 << "] * x2 + a[" << order - 4 << "];\n" ;
+            ofs << "      t[2] = b[" << order - 1 << "] * x2 + b[" << order - 3 << "];\n" ;
+            ofs << "      t[3] = b[" << order - 2 << "] * x2 + b[" << order - 4 << "];\n" ;
+            for(int item = order - 5; item >= 0; item -= 2)
+            {
+               ofs << "      t[0] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[1] *= x2;\n";
+               ofs << "      t[2] *= x2;\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[3] *= x2;\n";
+               ofs << "      t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[1] += static_cast<V>(a[" << item - 1 << "]);\n";
+               ofs << "      t[2] += static_cast<V>(b[" << item << "]);\n";
+               if(item - 1 >= 0)
+                  ofs << "      t[3] += static_cast<V>(b[" << item - 1 << "]);\n";
+            }
+            ofs << "      t[0] *= x;\n";
+            ofs << "      t[2] *= x;\n";
+         }
+         ofs << "      return (t[0] + t[1]) / (t[2] + t[3]);\n";
+
+         ofs << "   }\n   else\n   {\n      V z = 1 / x;\n      V z2 = 1 / (x * x);\n      V t[4];\n";
+
+         if(order & 1)
+         {
+            ofs << "      t[0] = a[" << 0 << "] * z2 + a[" << 2 << "];\n" ;
+            ofs << "      t[1] = a[" << 1 << "] * z2 + a[" << 3 << "];\n" ;
+            ofs << "      t[2] = b[" << 0 << "] * z2 + b[" << 2 << "];\n" ;
+            ofs << "      t[3] = b[" << 1 << "] * z2 + b[" << 3 << "];\n" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << "      t[0] *= z2;\n";
+               if(item + 1 < order)
+                  ofs << "      t[1] *= z2;\n";
+               ofs << "      t[2] *= z2;\n";
+               if(item + 1 < order)
+                  ofs << "      t[3] *= z2;\n";
+               ofs << "      t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item + 1 < order)
+                  ofs << "      t[1] += static_cast<V>(a[" << item + 1 << "]);\n";
+               ofs << "      t[2] += static_cast<V>(b[" << item << "]);\n";
+               if(item + 1 < order)
+                  ofs << "      t[3] += static_cast<V>(b[" << item + 1 << "]);\n";
+            }
+            ofs << "      t[1] *= z;\n";
+            ofs << "      t[3] *= z;\n";
+         }
+         else
+         {
+            ofs << "      t[0] = a[" << 0 << "] * z2 + a[" << 2 << "];\n" ;
+            ofs << "      t[1] = a[" << 1 << "] * z2 + a[" << 3 << "];\n" ;
+            ofs << "      t[2] = b[" << 0 << "] * z2 + b[" << 2 << "];\n" ;
+            ofs << "      t[3] = b[" << 1 << "] * z2 + b[" << 3 << "];\n" ;
+            for(int item = 4; item < order; item += 2)
+            {
+               ofs << "      t[0] *= z2;\n";
+               if(item + 1 < order)
+                  ofs << "      t[1] *= z2;\n";
+               ofs << "      t[2] *= z2;\n";
+               if(item + 1 < order)
+                  ofs << "      t[3] *= z2;\n";
+               ofs << "      t[0] += static_cast<V>(a[" << item << "]);\n";
+               if(item + 1 < order)
+                  ofs << "      t[1] += static_cast<V>(a[" << item + 1 << "]);\n";
+               ofs << "      t[2] += static_cast<V>(b[" << item << "]);\n";
+               if(item + 1 < order)
+                  ofs << "      t[3] += static_cast<V>(b[" << item + 1 << "]);\n";
+            }
+            ofs << "      t[0] *= z;\n";
+            ofs << "      t[2] *= z;\n";
+         }
+         ofs << "      return (t[0] + t[1]) / (t[2] + t[3]);\n   }\n";
+
+         ofs << "}\n\n";
+      }
+      //
+      // And finally the boilerplate at the end of the header:
+      //
+      ofs << "\n}}}} // namespaces\n\n#endif // include guard\n\n";
+   }
+}
+
+int main()
+{
+   for(int i = 2; i <= max_order; ++i)
+   {
+      print_polynomials(i);
+      print_rationals(i);
+   }
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/generate_rational_test.cpp b/src/boost/libs/math/tools/generate_rational_test.cpp
new file mode 100644
index 00000000..7093906d
--- /dev/null
+++ b/src/boost/libs/math/tools/generate_rational_test.cpp
@@ -0,0 +1,524 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_POLY_METHOD 0
+#define BOOST_MATH_RATIONAL_METHOD 0
+
+#include <boost/random.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <iostream>
+#include <fstream>
+#include "mp_t.hpp"
+
+int main()
+{
+   using namespace boost::math;
+   using namespace boost::math::tools;
+
+   static const unsigned max_order = 20;
+   std::cout << std::scientific << std::setprecision(40);
+
+   boost::mt19937 rnd;
+   boost::variate_generator<
+      boost::mt19937, 
+      boost::uniform_int<> > gen(rnd, boost::uniform_int<>(1, 12));
+
+   for(unsigned i = 1; i < max_order; ++i)
+   {
+      std::vector<int> coef;
+      for(unsigned j = 0; j < i; ++j)
+      {
+         coef.push_back(gen());
+      }
+      std::cout << std::scientific;
+      std::cout << 
+"   //\n"
+"   // Polynomials of order " << i-1 << "\n"
+"   //\n"
+"   static const U n" << i << "c[" << i << "] = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+      std::cout <<
+         "   static const boost::array<U, " << i << "> n" << i << "a = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+
+      mp_t r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      mp_t r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      mp_t r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      mp_t r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+      mp_t r5 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(6.5), i);
+      mp_t r6 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(10247.25), i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(6.5), " << i << "),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(10247.25), " << i << "),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(6.5)),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(10247.25)),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(6.5)),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(10247.25)),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      r1 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.125), i);
+      r2 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.25), i);
+      r3 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.75), i);
+      r4 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+      r5 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(6.5), i);
+      r6 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(10247.25), i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(6.5f), " << i << "),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(10247.25f), " << i << "),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(6.5f)),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(10247.25f)),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(6.5f)),\n"
+            "      static_cast<T>(" << r5 << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(10247.25f)),\n"
+            "      static_cast<T>(" << r6 << "L),\n"
+            "      tolerance);\n\n";
+
+      if(i > 1)
+      {
+         r1 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.125), i);
+         r2 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.25), i);
+         r3 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.75), i);
+         r4 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+         r5 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(6.5), i);
+         r6 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(10247.25), i);
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n";
+         if(fabs(r5) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(6.5f), " << i << "),\n"
+               "      static_cast<T>(" << r5 << "L),\n"
+               "      tolerance);\n";
+         if(fabs(r6) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(10247.25f), " << i << "),\n"
+               "      static_cast<T>(" << r6 << "L),\n"
+               "      tolerance);\n\n";
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n";
+         if(fabs(r5) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(6.5f)),\n"
+               "      static_cast<T>(" << r5 << "L),\n"
+               "      tolerance);\n";
+         if(fabs(r6) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(10247.25f)),\n"
+               "      static_cast<T>(" << r6 << "L),\n"
+               "      tolerance);\n\n";
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n";
+         if(fabs(r5) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(6.5f)),\n"
+               "      static_cast<T>(" << r5 << "L),\n"
+               "      tolerance);\n";
+         if(fabs(r6) < tools::max_value<float>())
+            std::cout <<
+               "   BOOST_CHECK_CLOSE(\n"
+               "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(10247.25f)),\n"
+               "      static_cast<T>(" << r6 << "L),\n"
+               "      tolerance);\n\n";
+      }
+
+      r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+      r5 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(6.5), i);
+      r6 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(10247.25), i);
+
+      coef.clear();
+      for(unsigned j = 0; j < i; ++j)
+      {
+         coef.push_back(gen());
+      }
+      std::cout << 
+"   //\n"
+"   // Rational functions of order " << i-1 << "\n"
+"   //\n"
+"   static const U d" << i << "c[" << i << "] = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+      std::cout <<
+         "   static const boost::array<U, " << i << "> d" << i << "a = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+
+      mp_t r1d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      mp_t r2d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      mp_t r3d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      mp_t r4d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+      mp_t r5d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(6.5), i);
+      mp_t r6d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(10247.25), i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5/r5d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(6.5f), " << i << "),\n"
+            "      static_cast<T>(" << r5/r5d << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6/r6d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(10247.25f), " << i << "),\n"
+            "      static_cast<T>(" << r6/r6d << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5/r5d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(6.5f)),\n"
+            "      static_cast<T>(" << r5/r5d << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6/r6d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(10247.25f)),\n"
+            "      static_cast<T>(" << r6/r6d << "L),\n"
+            "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n";
+      if(fabs(r5/r5d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(6.5f)),\n"
+            "      static_cast<T>(" << r5/r5d << "L),\n"
+            "      tolerance);\n";
+      if(fabs(r6/r6d) < tools::max_value<float>())
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(10247.25f)),\n"
+            "      static_cast<T>(" << r6/r6d << "L),\n"
+            "      tolerance);\n\n";
+   }
+
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/generate_test_values.cpp b/src/boost/libs/math/tools/generate_test_values.cpp
new file mode 100644
index 00000000..5c7c247f
--- /dev/null
+++ b/src/boost/libs/math/tools/generate_test_values.cpp
@@ -0,0 +1,41 @@
+//  (C) Copyright John Maddock 2005.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef NTL_STD_CXX
+#  define NTL_STD_CXX
+#endif
+
+#include <iostream>
+#include <iomanip>
+#include "mp_t.hpp"
+
+mp_t log1p(mp_t arg)
+{
+   return log(arg + 1);
+}
+
+mp_t expm1(mp_t arg)
+{
+   return exp(arg) - 1;
+}
+
+int main()
+{
+   mp_t r, root_two;
+   r = 1.0;
+   root_two = 2.0;
+   root_two = sqrt(root_two);
+   r /= root_two;
+   mp_t lim = pow(mp_t(2), mp_t(-128));
+   std::cout << std::scientific << std::setprecision(40);
+   while(r > lim)
+   {
+      std::cout << "   { " << r << "L, " << log1p(r) << "L, " << expm1(r) << "L, }, \n";
+      std::cout << "   { " << -r << "L, " << log1p(-r) << "L, " << expm1(-r) << "L, }, \n";
+      r /= root_two;
+   }
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/hermite_data.cpp b/src/boost/libs/math/tools/hermite_data.cpp
new file mode 100644
index 00000000..156a7254
--- /dev/null
+++ b/src/boost/libs/math/tools/hermite_data.cpp
@@ -0,0 +1,67 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <fstream>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+
+template<class T>
+boost::math::tuple<T, T, T> hermite_data(T n, T x)
+{
+   n = floor(n);
+   T r1 = hermite(boost::math::tools::real_cast<unsigned>(n), x);
+   return boost::math::make_tuple(n, x, r1);
+}
+   
+int main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << boost::math::hermite(10, static_cast<mp_t>(1e300)) << std::endl;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "n"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "x"))
+         return 1;
+      arg1.type |= dummy_param;
+      arg2.type |= dummy_param;
+
+      data.insert(&hermite_data<mp_t>, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=hermite.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hermite.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/heuman_lambda_data.cpp b/src/boost/libs/math/tools/heuman_lambda_data.cpp
new file mode 100644
index 00000000..44aa3803
--- /dev/null
+++ b/src/boost/libs/math/tools/heuman_lambda_data.cpp
@@ -0,0 +1,67 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+mp_t heuman_lambda(mp_t phi, mp_t k)
+{
+   mp_t kp = sqrt(1 - k *k);
+   if((k * k < tools::epsilon<float>()) && (fabs(phi) >= constants::half_pi<mp_t>()))
+      throw std::domain_error("");
+   return ellint_1(kp, phi) / ellint_1(kp) + ellint_1(k) * jacobi_zeta(kp, phi) / constants::half_pi<mp_t>();
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "k"))
+         return 1;
+
+      mp_t(*fp)(mp_t, mp_t) = &heuman_lambda;
+      data.insert(fp, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=heuman_lambda_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "heuman_lambda_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_0f2_data.cpp b/src/boost/libs/math/tools/hyp_0f2_data.cpp
new file mode 100644
index 00000000..6bdaedb2
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_0f2_data.cpp
@@ -0,0 +1,113 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_0f2_gen
+{
+   mp_t operator()(mp_t b1, mp_t b2, mp_t z)
+   {
+      mp_t result = 0;
+      mp_t abs_result = 0;
+      mp_t term = 1;
+      mp_t k = 0;
+
+      do
+      {
+         result += term;
+         abs_result += fabs(term);
+         if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
+            break;
+         ++k;
+         term /= b1++;
+         term /= b2++;
+         term /= k;
+         term *= z;
+      } while (true);
+      //
+      // check precision:
+      //
+      if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
+         throw std::domain_error("Unable to calculate result");
+
+      std::cout << b1 << " " << b2 << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3, arg4;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F0:\n";
+
+   std::string line;
+   bool cont = true;
+
+   while (cont)
+   {
+      float range;
+      std::cout << "Enter the range to calculate over for b1 and b2 (single value, range will be -x to x): ";
+      std::cin >> range;
+
+      float z_range;
+      std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
+      std::cin >> z_range;
+
+      int num_spots;
+      std::cout << "Enter how many test points to calculate: ";
+      std::cin >> num_spots;
+
+      std::vector<mp_t> v;
+      random_ns::mt19937 rnd;
+      random_ns::uniform_real_distribution<float> ur_a(-range, range);
+      random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
+
+      do
+      {
+         mp_t b1 = ur_a(rnd);
+         mp_t b2 = ur_a(rnd);
+         mp_t z = ur_z(rnd);
+
+         arg1 = make_single_param(b1);
+         arg2 = make_single_param(b2);
+         arg3 = make_single_param(z);
+         data.insert(hypergeometric_0f2_gen(), arg1, arg2, arg3);
+      } while (num_spots--);
+
+      std::cout << "Any more data?";
+      std::cin >> cont;
+
+   }
+
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_0f2.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_0f2.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_1f1_big_data.cpp b/src/boost/libs/math/tools/hyp_1f1_big_data.cpp
new file mode 100644
index 00000000..4bef9d2f
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_1f1_big_data.cpp
@@ -0,0 +1,179 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/special_functions/hypergeometric_1f1.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#define BOOST_MATH_USE_MPFR
+#include "mp_t.hpp"
+
+#include <boost/multiprecision/mpfi.hpp>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+typedef mpfi_float_1000 mpfi_type;
+
+mp_t hypergeometric_1f1_generic_series(mp_t a_, mp_t b_, mp_t z_)
+{
+   using namespace boost::math::tools;
+   using namespace boost::math;
+   using namespace std;
+   using namespace boost::multiprecision;
+
+   mpfi_type a(a_), b(b_), z(z_), sum(0), term(1), diff, term0(0);
+   unsigned n = 0;
+   bool cont = true;
+
+   unsigned max_n;
+   if (b < 0)
+      max_n = itrunc(-b) + 10000;
+   else
+      max_n = 10000000;
+
+   mpfi_type overflow_limit("1.189731495357231765e+4900");  // a bit less than LDBL_MAX for extended long doubles.
+
+   do
+   {
+      sum += term;
+      term *= (((a + n) / ((b + n) * (n + 1))) * z);
+      ++n;
+      diff = fabs(term / sum);
+      if (n > max_n)
+      {
+         std::cout << "Aborting series evaluation due to too many iterations...\n";
+         throw evaluation_error("");
+      }
+      if (fabs(upper(sum)) > overflow_limit)
+      {
+         std::cout << "Aborting series evaluation due to over large sum...\n";
+         throw evaluation_error("");
+      }
+      cont = (fabs(upper(diff)) > 1e-40) || (b + n < 0) || (fabs(term0) < fabs(term));
+      term0 = term;
+      //std::cout << upper(term) << " " << upper(sum) << " " << upper(diff) << " " << cont << std::endl;
+   } while (cont);
+
+   mp_t r = mp_t(width(sum) / median(sum));
+   if (fabs(r) > 1e-40)
+   {
+      std::cout << "Aborting to to error in result of " << r << std::endl;
+      throw evaluation_error("");
+   }
+   std::cout << "Found error in sum was " << r << std::endl;
+
+   return mp_t(median(sum));
+}
+
+
+struct hypergeometric_1f1_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      mp_t result;
+      try {
+         result = hypergeometric_1f1_generic_series(a1, a2, z);
+         std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      }
+      catch (...)
+      {
+         throw std::domain_error("");
+      }
+      if (fabs(result) > (std::numeric_limits<double>::max)())
+      {
+         std::cout << "Rejecting over large value\n";
+         throw std::domain_error("");
+      }
+      return result;
+   }
+};
+
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 1F1 (Yeh!!):\n";
+
+   std::string line;
+   //bool cont;
+
+   std::vector<mp_t> v;
+   random_ns::mt19937 rnd;
+   random_ns::uniform_real_distribution<float> ur_a(0, 1);
+
+   mp_t p = ur_a(rnd);
+   p *= 1e6;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e4;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e3;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e2;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-12;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-30;
+   v.push_back(p);
+   v.push_back(-p);
+
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      for (unsigned j = 0; j < v.size(); ++j)
+      {
+         for (unsigned k = 0; k < v.size(); ++k)
+         {
+            std::cout << i << " " << j << " " << k << std::endl;
+            std::cout << v[i] << " " << (v[j] * 3) / 2 << " " << (v[j] * 5) / 4 << std::endl;
+            arg1 = make_single_param(v[i]);
+            arg2 = make_single_param(mp_t((v[j] * 3) / 2));
+            arg3 = make_single_param(mp_t((v[k] * 5) / 4));
+            data.insert(hypergeometric_1f1_gen(), arg1, arg2, arg3);
+         }
+      }
+   }
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_1f1.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_1f1.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_1f1_data.cpp b/src/boost/libs/math/tools/hyp_1f1_data.cpp
new file mode 100644
index 00000000..0205b42b
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_1f1_data.cpp
@@ -0,0 +1,143 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/special_functions/hypergeometric_1f1.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_1f1_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      std::cout << a1 << " " << a2 << " " << z << std::endl;
+      mp_t result = boost::math::detail::hypergeometric_1f1_generic_series(a1, a2, z, boost::math::policies::policy<>());
+      std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+struct hypergeometric_1f1_gen_2
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      mp_t result = boost::math::detail::hypergeometric_1f1_generic_series(a1, a2, z, boost::math::policies::policy<>());
+      std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      if (fabs(result) > (std::numeric_limits<double>::max)())
+      {
+         std::cout << "Discarding result as too large\n";
+         throw std::domain_error("");
+      }
+      if (static_cast<double>(result) == 1)
+      {
+         std::cout << "Discarding result as unity\n";
+         throw std::domain_error("");  // uninteresting result.
+      }
+      return result;
+   }
+};
+
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F0:\n";
+
+   std::string line;
+   bool cont;
+
+#if 1
+   std::vector<mp_t> v;
+   random_ns::mt19937 rnd;
+   random_ns::uniform_real_distribution<float> ur_a(0, 1);
+
+   mp_t p = ur_a(rnd);
+   p *= 1e6;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e4;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e3;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e2;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-12;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-30;
+   v.push_back(p);
+   v.push_back(-p);
+
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      for (unsigned j = 0; j < v.size(); ++j)
+      {
+         for (unsigned k = 0; k < v.size(); ++k)
+         {
+            arg1 = make_single_param(v[i]);
+            arg2 = make_single_param(v[j] * 3 / 2);
+            arg3 = make_single_param(v[k] * 5 / 4);
+            data.insert(hypergeometric_1f1_gen_2(), arg1, arg2, arg3);
+         }
+      }
+   }
+
+
+#else
+
+   do {
+      get_user_parameter_info(arg1, "a1");
+      get_user_parameter_info(arg2, "a2");
+      get_user_parameter_info(arg3, "z");
+      data.insert(hypergeometric_1f1_gen(), arg1, arg2, arg3);
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   } while (cont);
+
+#endif
+   std::cout << "Enter name of test data file [default=hypergeometric_1f1.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_1f1.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_1f1_log_big_data.cpp b/src/boost/libs/math/tools/hyp_1f1_log_big_data.cpp
new file mode 100644
index 00000000..ab8b09e4
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_1f1_log_big_data.cpp
@@ -0,0 +1,132 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/special_functions/hypergeometric_1f1.hpp>
+#include <boost/math/special_functions/hypergeometric_pfq.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#define BOOST_MATH_USE_MPFR
+#include "mp_t.hpp"
+
+#include <boost/multiprecision/mpfr.hpp>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+
+struct hypergeometric_1f1_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      mp_t result;
+      try {
+         result = (mp_t)log(abs(boost::math::hypergeometric_pFq_precision({ mpfr_float(a1) }, { mpfr_float(a2) }, mpfr_float(z), 70, 25.0)));
+         std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      }
+      catch (...)
+      {
+         throw std::domain_error("");
+      }
+      if (fabs(result) > (std::numeric_limits<double>::max)())
+      {
+         std::cout << "Rejecting over large value\n";
+         throw std::domain_error("");
+      }
+      if (fabs(result) < 1/1024.0)
+      {
+         std::cout << "Rejecting over small value\n";
+         throw std::domain_error("");
+      }
+      return result;
+   }
+};
+
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 1F1 (Yeh!!):\n";
+
+   std::string line;
+   //bool cont;
+
+   std::vector<mp_t> v;
+   random_ns::mt19937 rnd;
+   random_ns::uniform_real_distribution<float> ur_a(0, 1);
+
+   mp_t p = ur_a(rnd);
+   p *= 1e6;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e4;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e3;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e2;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-12;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-30;
+   v.push_back(p);
+   v.push_back(-p);
+
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      for (unsigned j = 0; j < v.size(); ++j)
+      {
+         for (unsigned k = 0; k < v.size(); ++k)
+         {
+            std::cout << i << " " << j << " " << k << std::endl;
+            std::cout << v[i] << " " << (v[j] * 3) / 2 << " " << (v[k] * 5) / 4 << std::endl;
+            arg1 = make_single_param(v[i]);
+            arg2 = make_single_param(mp_t((v[j] * 3) / 2));
+            arg3 = make_single_param(mp_t((v[k] * 5) / 4));
+            data.insert(hypergeometric_1f1_gen(), arg1, arg2, arg3);
+         }
+      }
+   }
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_1f1.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_1f1.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_1f1_reg_big_data.cpp b/src/boost/libs/math/tools/hyp_1f1_reg_big_data.cpp
new file mode 100644
index 00000000..6989547e
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_1f1_reg_big_data.cpp
@@ -0,0 +1,127 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/special_functions/hypergeometric_1f1.hpp>
+#include <boost/math/special_functions/hypergeometric_pfq.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#define BOOST_MATH_USE_MPFR
+#include "mp_t.hpp"
+
+#include <boost/multiprecision/mpfr.hpp>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+
+struct hypergeometric_1f1_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      mp_t result;
+      try {
+         result = (mp_t)boost::math::hypergeometric_pFq_precision({ mpfr_float(a1) }, { mpfr_float(mpfr_float(a2)) }, mpfr_float(z), 50, 25.0) / boost::multiprecision::tgamma(a2);
+         std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      }
+      catch (...)
+      {
+         throw std::domain_error("");
+      }
+      if (fabs(result) > (std::numeric_limits<double>::max)())
+      {
+         std::cout << "Rejecting over large value\n";
+         throw std::domain_error("");
+      }
+      return result;
+   }
+};
+
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 1F1 (Yeh!!):\n";
+
+   std::string line;
+   //bool cont;
+
+   std::vector<mp_t> v;
+   random_ns::mt19937 rnd;
+   random_ns::uniform_real_distribution<float> ur_a(0, 1);
+
+   mp_t p = ur_a(rnd);
+   p *= 1e6;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e4;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e3;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e2;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-5;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-12;
+   v.push_back(p);
+   v.push_back(-p);
+   p = ur_a(rnd);
+   p *= 1e-30;
+   v.push_back(p);
+   v.push_back(-p);
+
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      for (unsigned j = 0; j < v.size(); ++j)
+      {
+         for (unsigned k = 0; k < v.size(); ++k)
+         {
+            std::cout << i << " " << j << " " << k << std::endl;
+            std::cout << v[i] << " " << (v[j] * 3) / 2 << " " << (v[j] * 5) / 4 << std::endl;
+            arg1 = make_single_param(v[i]);
+            arg2 = make_single_param(mp_t((v[j] * 3) / 2));
+            arg3 = make_single_param(mp_t((v[k] * 5) / 4));
+            data.insert(hypergeometric_1f1_gen(), arg1, arg2, arg3);
+         }
+      }
+   }
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_1f1.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_1f1.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_1f2_data.cpp b/src/boost/libs/math/tools/hyp_1f2_data.cpp
new file mode 100644
index 00000000..c3ebee3d
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_1f2_data.cpp
@@ -0,0 +1,116 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_1f2_gen
+{
+   mp_t operator()(mp_t a1, mp_t b1, mp_t b2, mp_t z)
+   {
+      mp_t result = 0;
+      mp_t abs_result = 0;
+      mp_t term = 1;
+      mp_t k = 0;
+
+      do
+      {
+         result += term;
+         abs_result += fabs(term);
+         if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
+            break;
+         ++k;
+         term *= a1++;
+         term /= b1++;
+         term /= b2++;
+         term /= k;
+         term *= z;
+      } while (true);
+      //
+      // check precision:
+      //
+      if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
+         throw std::domain_error("Unable to calculate result");
+
+      std::cout << a1 << " " << b1 << " " << b2 << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3, arg4;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F0:\n";
+
+   std::string line;
+   bool cont = true;
+
+   while (cont)
+   {
+      float range;
+      std::cout << "Enter the range to calculate over for a1, b1 and b2 (single value, range will be -x to x): ";
+      std::cin >> range;
+
+      float z_range;
+      std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
+      std::cin >> z_range;
+
+      int num_spots;
+      std::cout << "Enter how many test points to calculate: ";
+      std::cin >> num_spots;
+
+      std::vector<mp_t> v;
+      random_ns::mt19937 rnd;
+      random_ns::uniform_real_distribution<float> ur_a(-range, range);
+      random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
+
+      do
+      {
+         mp_t a1 = ur_a(rnd);
+         mp_t b1 = ur_a(rnd);
+         mp_t b2 = ur_a(rnd);
+         mp_t z = ur_z(rnd);
+
+         arg1 = make_single_param(a1);
+         arg2 = make_single_param(b1);
+         arg3 = make_single_param(b2);
+         arg4 = make_single_param(z);
+         data.insert(hypergeometric_1f2_gen(), arg1, arg2, arg3, arg4);
+      } while (num_spots--);
+
+      std::cout << "Any more data?";
+      std::cin >> cont;
+
+   }
+
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_1f2.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_1f2.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_2f0_data.cpp b/src/boost/libs/math/tools/hyp_2f0_data.cpp
new file mode 100644
index 00000000..a750dff5
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_2f0_data.cpp
@@ -0,0 +1,85 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/hypergeometric_2f0.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_2f0_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t z)
+   {
+      std::cout << a1 << " " << a2 << " " << z << std::endl;
+      mp_t result = boost::math::detail::hypergeometric_2f0_generic_series(a1, a2, z, boost::math::policies::policy<>());
+      std::cout << a1 << " " << a2 << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+struct hypergeometric_2f0_gen_spec1
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t> operator()(mp_t a1, mp_t z)
+   {
+      mp_t result = boost::math::detail::hypergeometric_2f0_generic_series(a1, a1 + 0.5, z, boost::math::policies::policy<>());
+      std::cout << a1 << " " << a1 + 0.5 << " " << z << " " << result << std::endl;
+      return boost::math::make_tuple(a1, a1 + 0.5, z, result);
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F0:\n";
+
+   std::string line;
+   bool cont;
+
+#if 1
+   arg1 = make_periodic_param(mp_t(-20), mp_t(-1), 19);
+   arg2 = make_random_param(mp_t(-5), mp_t(5), 8);
+   arg1.type |= dummy_param;
+   arg2.type |= dummy_param;
+   data.insert(hypergeometric_2f0_gen_spec1(), arg1, arg2);
+
+
+#else
+
+   do {
+      get_user_parameter_info(arg1, "a1");
+      get_user_parameter_info(arg2, "a2");
+      get_user_parameter_info(arg3, "z");
+      data.insert(hypergeometric_2f0_gen(), arg1, arg2, arg3);
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   } while (cont);
+
+#endif
+   std::cout << "Enter name of test data file [default=hypergeometric_2f0.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_2f0.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_2f1_data.cpp b/src/boost/libs/math/tools/hyp_2f1_data.cpp
new file mode 100644
index 00000000..c742e743
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_2f1_data.cpp
@@ -0,0 +1,100 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_2f1_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t b, mp_t z)
+   {
+      mp_t result = 0;
+      mp_t abs_result = 0;
+      mp_t term = 1;
+      mp_t k = 0;
+
+      do
+      {
+         result += term;
+         abs_result += fabs(term);
+         if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
+            break;
+         ++k;
+         term *= a1++;
+         term *= a2++;
+         term /= b++;
+         term /= k;
+         term *= z;
+      } while (true);
+      //
+      // check precision:
+      //
+      if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
+         throw std::domain_error("Unable to calculate result");
+
+      std::cout << a1 << " " << a2 << " " << b << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3, arg4;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F0:\n";
+
+   std::string line;
+   bool cont;
+
+   std::vector<mp_t> v;
+   random_ns::mt19937 rnd;
+   random_ns::uniform_real_distribution<float> ur_a(-100, 100);
+   random_ns::uniform_real_distribution<float> ur_z(-1, 1);
+
+   int num_spots;
+   std::cout << "Enter how many test points to calculate: ";
+   std::cin >> num_spots;
+
+   do
+   {
+      mp_t a1 = ur_a(rnd);
+      mp_t a2 = ur_a(rnd);
+      mp_t b = ur_a(rnd);
+      mp_t z = ur_z(rnd);
+
+      arg1 = make_single_param(a1);
+      arg2 = make_single_param(a2);
+      arg3 = make_single_param(b);
+      arg4 = make_single_param(z);
+      data.insert(hypergeometric_2f1_gen(), arg1, arg2, arg3, arg4);
+   } while (num_spots--);
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_2f1.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_2f1.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hyp_2f2_data.cpp b/src/boost/libs/math/tools/hyp_2f2_data.cpp
new file mode 100644
index 00000000..378db1cd
--- /dev/null
+++ b/src/boost/libs/math/tools/hyp_2f2_data.cpp
@@ -0,0 +1,121 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+struct hypergeometric_2f2_gen
+{
+   mp_t operator()(mp_t a1, mp_t a2, mp_t b1, mp_t b2, mp_t z)
+   {
+      mp_t result = 0;
+      mp_t abs_result = 0;
+      mp_t term = 1;
+      mp_t k = 0;
+
+      do
+      {
+         result += term;
+         abs_result += fabs(term);
+         if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
+            break;
+         ++k;
+         term *= a1++;
+         term *= a2++;
+         term /= b1++;
+         term /= b2++;
+         term /= k;
+         term *= z;
+      } while (true);
+      //
+      // check precision:
+      //
+      if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
+         throw std::domain_error("Unable to calculate result");
+      if(fabs(result) > (std::numeric_limits<double>::max)())
+         throw std::domain_error("Unable to calculate result");
+
+      std::cout << a1 << " " << a2 << " " << b1 << " " << b2 << " " << z << " " << result << std::endl;
+      return result;
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3, arg4, arg5;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for 2F2:\n";
+
+   std::string line;
+   bool cont = true;
+
+   while (cont)
+   {
+      float range;
+      std::cout << "Enter the range to calculate over for a1, a2, b1 and b2 (single value, range will be -x to x): ";
+      std::cin >> range;
+
+      float z_range;
+      std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
+      std::cin >> z_range;
+
+      int num_spots;
+      std::cout << "Enter how many test points to calculate: ";
+      std::cin >> num_spots;
+
+      std::vector<mp_t> v;
+      random_ns::mt19937 rnd;
+      random_ns::uniform_real_distribution<float> ur_a(-range, range);
+      random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
+
+      do
+      {
+         mp_t a1 = ur_a(rnd);
+         mp_t a2 = ur_a(rnd);
+         mp_t b1 = ur_a(rnd);
+         mp_t b2 = ur_a(rnd);
+         mp_t z = ur_z(rnd);
+
+         arg1 = make_single_param(a1);
+         arg2 = make_single_param(a2);
+         arg3 = make_single_param(b1);
+         arg4 = make_single_param(b2);
+         arg5 = make_single_param(z);
+         data.insert(hypergeometric_2f2_gen(), arg1, arg2, arg3, arg4, arg5);
+      } while (num_spots--);
+
+      std::cout << "Any more data?";
+      std::cin >> cont;
+
+   }
+
+
+
+   std::cout << "Enter name of test data file [default=hypergeometric_2f2.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "hypergeometric_2f2.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/hypergeometric_1F1_error_plot.cpp b/src/boost/libs/math/tools/hypergeometric_1F1_error_plot.cpp
new file mode 100644
index 00000000..c9c1410b
--- /dev/null
+++ b/src/boost/libs/math/tools/hypergeometric_1F1_error_plot.cpp
@@ -0,0 +1,224 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_ENABLE_ASSERT_HANDLER
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY INT_MAX
+// for consistent behaviour across compilers/platforms:
+#define BOOST_MATH_PROMOTE_DOUBLE_POLICY false
+// overflow to infinity is OK, we treat these as zero error as long as the sign is correct!
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <iostream>
+#include <ctime>
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#include <boost/random.hpp>
+#include <set>
+#include <fstream>
+#include <boost/iostreams/tee.hpp>
+#include <boost/iostreams/stream.hpp>
+
+typedef double test_type;
+using boost::multiprecision::mpfr_float;
+
+namespace boost {
+   //
+   // We convert assertions into exceptions, so we can log them and continue:
+   //
+   void assertion_failed(char const * expr, char const *, char const * file, long line)
+   {
+      std::ostringstream oss;
+      oss << file << ":" << line << " Assertion failed: " << expr;
+      throw std::runtime_error(oss.str());
+   }
+
+}
+
+void print_value(double x, std::ostream& os = std::cout)
+{
+   int e;
+   double m = std::frexp(x, &e);
+   m = std::ldexp(m, 54);
+   e -= 54;
+   boost::int64_t val = (boost::int64_t)m;
+   BOOST_ASSERT(std::ldexp((double)val, e) == x);
+   os << "std::ldexp((double)" << val << ", " << e << ")";
+}
+
+
+void print_row(double a, double b, double z, mpfr_float result, std::ostream& os = std::cout)
+{
+   os << "  {{ ";
+   print_value(a, os);
+   os << ", ";
+   print_value(b, os);
+   os << ", ";
+   print_value(z, os);
+   os << ", SC_(" << std::setprecision(45) << result << ") }}" << std::endl;
+}
+
+struct error_data
+{
+   error_data(double a, double b, double z, boost::intmax_t e)
+      : a(a), b(b), z(z), error(e) {}
+   double a, b, z;
+   boost::intmax_t error;
+   bool operator<(const error_data& other)const
+   {
+      return error < other.error;
+   }
+};
+
+int main()
+{
+   try {
+      test_type max_a, max_b, max_z, min_a, min_b, min_z;
+
+      unsigned number_of_samples;
+
+      std::ofstream log_stream, incalculable_stream, unevaluated_stream, bins_stream;
+      std::string basename;
+
+      std::cout << "Enter range for a: ";
+      std::cin >> min_a >> max_a;
+      std::cout << "Enter range for b: ";
+      std::cin >> min_b >> max_b;
+      std::cout << "Enter range for z: ";
+      std::cin >> min_z >> max_z;
+      std::cout << "Enter number of samples: ";
+      std::cin >> number_of_samples;
+      std::cout << "Enter basename for log files: ";
+      std::cin >> basename;
+
+      typedef boost::iostreams::tee_device<std::ostream, std::ostream> tee_sink;
+      typedef boost::iostreams::stream<tee_sink> tee_stream;
+
+      log_stream.open((basename + ".log").c_str());
+      tee_stream tee_log(tee_sink(std::cout, log_stream));
+      incalculable_stream.open((basename + "_incalculable.log").c_str());
+      unevaluated_stream.open((basename + "_unevaluated.log").c_str());
+      bins_stream.open((basename + "_bins.csv").c_str());
+      tee_stream tee_bins(tee_sink(std::cout, bins_stream));
+
+      boost::random::mt19937 gen(std::time(0));
+      boost::random::uniform_real_distribution<test_type> a_dist(min_a, max_a);
+      boost::random::uniform_real_distribution<test_type> b_dist(min_b, max_b);
+      boost::random::uniform_real_distribution<test_type> z_dist(min_z, max_z);
+
+      std::multiset<error_data> errors;
+      std::map<std::pair<int, int>, int> bins;
+
+      unsigned incalculable = 0;
+      unsigned evaluation_errors = 0;
+      test_type max_error = 0;
+
+      do
+      {
+         test_type a = a_dist(gen);
+         test_type b = b_dist(gen);
+         test_type z = z_dist(gen);
+         test_type found, expected;
+         mpfr_float mp_expected;
+
+         try {
+            mp_expected = boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 25, 200.0);
+            expected = (test_type)mp_expected;
+         }
+         catch (const std::exception&)
+         {
+            // Unable to compute reference value:
+            ++incalculable;
+            tee_log << "Unable to compute reference value in reasonable time: " << std::endl;
+            print_row(a, b, z, mpfr_float(0), tee_log);
+            incalculable_stream << std::setprecision(6) << std::scientific << a << "," << b << "," << z << "\n";
+            continue;
+         }
+         try
+         {
+            found = boost::math::hypergeometric_1F1(a, b, z);
+         }
+         catch (const std::exception&)
+         {
+            ++evaluation_errors;
+            --number_of_samples;
+            log_stream << "Unexpected exception calculating value: " << std::endl;
+            print_row(a, b, z, mp_expected, log_stream);
+            unevaluated_stream << std::setprecision(6) << std::scientific << a << "," << b << "," << z << "\n";
+            continue;
+         }
+         test_type err = boost::math::epsilon_difference(found, expected);
+         if (err > max_error)
+         {
+            tee_log << "New maximum error is: " << err << std::endl;
+            print_row(a, b, z, mp_expected, tee_log);
+            max_error = err;
+         }
+         try {
+            errors.insert(error_data(a, b, z, boost::math::lltrunc(err)));
+         }
+         catch (...)
+         {
+            errors.insert(error_data(a, b, z, INT_MAX));
+         }
+         --number_of_samples;
+         if (number_of_samples % 500 == 0)
+            std::cout << number_of_samples << " samples to go" << std::endl;
+      } while (number_of_samples);
+
+      tee_log << "Max error found was: " << max_error << std::endl;
+
+      unsigned current_bin = 0;
+      unsigned lim = 1;
+      unsigned old_lim = 0;
+
+      while (errors.size())
+      {
+         old_lim = lim;
+         lim *= 2;
+         //std::cout << "Enter upper limit for bin " << current_bin << ": ";
+         //std::cin >> lim;
+         auto p = errors.upper_bound(error_data(0, 0, 0, lim));
+         int bin_count = std::distance(errors.begin(), p);
+         if (bin_count)
+         {
+            std::ofstream os((basename + "_errors_" + std::to_string(current_bin + 1) + ".csv").c_str());
+            os << "a,b,z,error\n";
+            bins[std::make_pair(old_lim, lim)] = bin_count;
+            for (auto pos = errors.begin(); pos != p; ++pos)
+            {
+               os << pos->a << "," << pos->b << "," << pos->z << "," << pos->error << "\n";
+            }
+            errors.erase(errors.begin(), p);
+         }
+         ++current_bin;
+      }
+
+      tee_bins << "Results:\n\n";
+      tee_bins << "#bin,Range,2^N,Count\n";
+      int hash = 0;
+      for (auto p = bins.begin(); p != bins.end(); ++p, ++hash)
+      {
+         tee_bins << hash << "," << p->first.first << "-" << p->first.second << "," << hash+1 << "," << p->second << std::endl;
+      }
+      if (evaluation_errors)
+      {
+         tee_bins << ",Failed,," << evaluation_errors << std::endl;
+      }
+      if (incalculable)
+      {
+         tee_bins << ",Incalculable,," << incalculable << std::endl;
+      }
+   }
+   catch (const std::exception& e)
+   {
+      std::cout << "Terminating with unhandled exception: " << e.what() << std::endl;
+   }
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/hypergeometric_1F1_map_neg_b_fwd_recurrence.cpp b/src/boost/libs/math/tools/hypergeometric_1F1_map_neg_b_fwd_recurrence.cpp
new file mode 100644
index 00000000..ce1fe325
--- /dev/null
+++ b/src/boost/libs/math/tools/hypergeometric_1F1_map_neg_b_fwd_recurrence.cpp
@@ -0,0 +1,193 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_ENABLE_ASSERT_HANDLER
+#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY INT_MAX
+// for consistent behaviour across compilers/platforms:
+#define BOOST_MATH_PROMOTE_DOUBLE_POLICY false
+// overflow to infinity is OK, we treat these as zero error as long as the sign is correct!
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <iostream>
+#include <ctime>
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#include <boost/random.hpp>
+#include <set>
+#include <fstream>
+#include <boost/iostreams/tee.hpp>
+#include <boost/iostreams/stream.hpp>
+
+using boost::multiprecision::mpfr_float;
+
+namespace boost {
+   //
+   // We convert assertions into exceptions, so we can log them and continue:
+   //
+   void assertion_failed(char const * expr, char const *, char const * file, long line)
+   {
+      std::ostringstream oss;
+      oss << file << ":" << line << " Assertion failed: " << expr;
+      throw std::runtime_error(oss.str());
+   }
+
+}
+
+typedef boost::multiprecision::cpp_bin_float_quad test_type;
+
+int main()
+{
+   using std::floor;
+   using std::ceil;
+   try {
+      test_type a_start, a_end;
+      test_type b_start, b_end;
+      test_type a_mult, b_mult;
+
+      std::cout << "Enter range for paramater a: ";
+      std::cin >> a_start >> a_end;
+      std::cout << "Enter range for paramater b: ";
+      std::cin >> b_start >> b_end;
+      std::cout << "Enter multiplier for a parameter: ";
+      std::cin >> a_mult;
+      std::cout << "Enter multiplier for b parameter: ";
+      std::cin >> b_mult;
+
+      double error_limit = 200;
+      double time_limit = 10.0;
+
+      for (test_type a = a_start; a < a_end; a_start < 0 ? a /= a_mult : a *= a_mult)
+      {
+         for (test_type b = b_start; b < b_end; b_start < 0 ? b /= b_mult : b *= b_mult)
+         {
+            test_type z_mult = 2;
+            test_type last_good = 0;
+            test_type bad = 0;
+            try {
+               for (test_type z = 1; z < 1e10; z *= z_mult, z_mult *= 2)
+               {
+                  // std::cout << "z = " << z << std::endl;
+                  boost::uintmax_t max_iter = 1000;
+                  test_type calc = boost::math::tools::function_ratio_from_forwards_recurrence(boost::math::detail::hypergeometric_1F1_recurrence_a_and_b_coefficients<test_type>(a, b, z), std::numeric_limits<test_type>::epsilon() * 2, max_iter);
+                  test_type reference = (test_type)(boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 50, time_limit) / boost::math::hypergeometric_pFq_precision({ mpfr_float(a + 1) }, { mpfr_float(b + 1) }, mpfr_float(z), std::numeric_limits<test_type>::digits10 * 2, time_limit));
+                  double err = (double)boost::math::epsilon_difference(reference, calc);
+
+                  if (err < error_limit)
+                  {
+                     last_good = z;
+                     break;
+                  }
+                  else
+                  {
+                     bad = z;
+                  }
+               }
+            }
+            catch (const std::exception& e)
+            {
+               std::cout << "Unexpected exception: " << e.what() << std::endl;
+               std::cout << "For a = " << a << " b = " << b << " z = " << bad * z_mult / 2 << std::endl;
+            }
+            test_type z_limit;
+            if (0 == bad)
+               z_limit = 1;  // Any z is large enough
+            else if (0 == last_good)
+               z_limit = std::numeric_limits<test_type > ::infinity();
+            else
+            {
+               //
+               // At this stage last_good and bad should bracket the edge of the domain, bisect to narrow things down:
+               //
+               z_limit = last_good == 0 ? 0 : boost::math::tools::bisect([&a, b, error_limit, time_limit](test_type z)
+               {
+                  boost::uintmax_t max_iter = 1000;
+                  test_type calc = boost::math::tools::function_ratio_from_forwards_recurrence(boost::math::detail::hypergeometric_1F1_recurrence_a_and_b_coefficients<test_type>(a, b, z), std::numeric_limits<test_type>::epsilon() * 2, max_iter);
+                  test_type reference = (test_type)(boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 50, time_limit + 20) / boost::math::hypergeometric_pFq_precision({ mpfr_float(a + 1) }, { mpfr_float(b + 1) }, mpfr_float(z), std::numeric_limits<test_type>::digits10 * 2, time_limit + 20));
+                  test_type err = boost::math::epsilon_difference(reference, calc);
+                  return err < error_limit ? 1 : -1;
+               }, bad, last_good, boost::math::tools::equal_floor()).first;
+               z_limit = floor(z_limit + 2);  // Give ourselves some headroom!
+            }
+            // std::cout << "z_limit = " << z_limit << std::endl;
+            //
+            // Now over again for backwards recurrence domain at the same points:
+            //
+            bad = z_limit > 1e10 ? 1e10 : z_limit;
+            last_good = 0;
+            z_mult = 1.1;
+            for (test_type z = bad; z > 1; z /= z_mult, z_mult *= 2)
+            {
+               // std::cout << "z = " << z << std::endl;
+               try {
+                  boost::uintmax_t max_iter = 1000;
+                  test_type calc = boost::math::tools::function_ratio_from_backwards_recurrence(boost::math::detail::hypergeometric_1F1_recurrence_a_and_b_coefficients<test_type>(a, b, z), std::numeric_limits<test_type>::epsilon() * 2, max_iter);
+                  test_type reference = (test_type)(boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 50, time_limit) / boost::math::hypergeometric_pFq_precision({ mpfr_float(a - 1) }, { mpfr_float(b - 1) }, mpfr_float(z), std::numeric_limits<test_type>::digits10 * 2, time_limit));
+                  test_type err = boost::math::epsilon_difference(reference, calc);
+
+                  if (err < error_limit)
+                  {
+                     last_good = z;
+                     break;
+                  }
+                  else
+                  {
+                     bad = z;
+                  }
+               }
+               catch (const std::exception& e)
+               {
+                  bad = z;
+                  std::cout << "Unexpected exception: " << e.what() << std::endl;
+                  std::cout << "For a = " << a << " b = " << b << " z = " << z << std::endl;
+               }
+            }
+            test_type lower_z_limit;
+            if (last_good < 1)
+               lower_z_limit = 0;
+            else if (last_good >= bad)
+            {
+               boost::uintmax_t max_iter = 1000;
+               test_type z = bad;
+               test_type calc = boost::math::tools::function_ratio_from_forwards_recurrence(boost::math::detail::hypergeometric_1F1_recurrence_a_and_b_coefficients<test_type>(a, b, z), std::numeric_limits<test_type>::epsilon() * 2, max_iter);
+               test_type reference = (test_type)(boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 50, time_limit) / boost::math::hypergeometric_pFq_precision({ mpfr_float(a + 1) }, { mpfr_float(b + 1) }, mpfr_float(z), std::numeric_limits<test_type>::digits10 * 2, time_limit));
+               test_type err = boost::math::epsilon_difference(reference, calc);
+               if (err < error_limit)
+               {
+                  lower_z_limit = bad;   //  Both forwards and backwards iteration work!!!
+               }
+               else
+                  throw std::runtime_error("Internal logic failed!");
+            }
+            else
+            {
+               //
+               // At this stage last_good and bad should bracket the edge of the domain, bisect to narrow things down:
+               //
+               lower_z_limit = last_good == 0 ? 0 : boost::math::tools::bisect([&a, b, error_limit, time_limit](test_type z)
+               {
+                  boost::uintmax_t max_iter = 1000;
+                  test_type calc = boost::math::tools::function_ratio_from_backwards_recurrence(boost::math::detail::hypergeometric_1F1_recurrence_a_and_b_coefficients<test_type>(a, b, z), std::numeric_limits<test_type>::epsilon() * 2, max_iter);
+                  test_type reference = (test_type)(boost::math::hypergeometric_pFq_precision({ mpfr_float(a) }, { mpfr_float(b) }, mpfr_float(z), 50, time_limit + 20) / boost::math::hypergeometric_pFq_precision({ mpfr_float(a - 1) }, { mpfr_float(b - 1) }, mpfr_float(z), std::numeric_limits<test_type>::digits10 * 2, time_limit + 20));
+                  test_type err = boost::math::epsilon_difference(reference, calc);
+                  return err < error_limit ? 1 : -1;
+               }, last_good, bad, boost::math::tools::equal_floor()).first;
+               z_limit = ceil(z_limit - 2);  // Give ourselves some headroom!
+            }
+
+            std::cout << std::setprecision(std::numeric_limits<test_type>::max_digits10) << "{ " << a << ", " << b << ", " << lower_z_limit << ", " << z_limit << "}," << std::endl;
+         }
+      }
+   }
+   catch (const std::exception& e)
+   {
+      std::cout << "Unexpected exception: " << e.what() << std::endl;
+   }
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/hypergeometric_dist_data.cpp b/src/boost/libs/math/tools/hypergeometric_dist_data.cpp
new file mode 100644
index 00000000..55352f03
--- /dev/null
+++ b/src/boost/libs/math/tools/hypergeometric_dist_data.cpp
@@ -0,0 +1,95 @@
+//  (C) Copyright John Maddock 2009.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#define BOOST_MATH_INSTRUMENT
+
+#include <boost/math/distributions/hypergeometric.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/random/uniform_int.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+std::mt19937 rnd;
+
+struct hypergeometric_generator
+{
+   boost::math::tuple<
+      mp_t, 
+      mp_t, 
+      mp_t, 
+      mp_t, 
+      mp_t,
+      mp_t,
+      mp_t> operator()(mp_t rN, mp_t rr, mp_t rn)
+   {
+      using namespace std;
+      using namespace boost;
+      using namespace boost::math;
+
+      if((rr > rN) || (rr < rn))
+         throw std::domain_error("");
+
+      try{
+         int N = itrunc(rN);
+         int r = itrunc(rr);
+         int n = itrunc(rn);
+         boost::uniform_int<> ui((std::max)(0, n + r - N), (std::min)(n, r));
+         int k = ui(rnd);
+
+         hypergeometric_distribution<mp_t> d(r, n, N);
+
+         mp_t p = pdf(d, k);
+         if((p == 1) || (p == 0))
+         {
+            // trivial case, don't clutter up our table with it:
+            throw std::domain_error("");
+         }
+         mp_t c = cdf(d, k);
+         mp_t cc = cdf(complement(d, k));
+
+         std::cout << "N = " << N << " r = " << r << " n = " << n << " PDF = " << p << " CDF = " << c << " CCDF = " << cc << std::endl;
+
+         return boost::math::make_tuple(r, n, N, k, p, c, cc);
+      }
+      catch(const std::exception& e)
+      {
+         std::cout << e.what() << std::endl;
+         throw std::domain_error("");
+      }
+   }
+};
+
+int main(int argc, char*argv [])
+{
+   std::string line;
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests hypergeoemtric distribution:\n";
+
+   arg1 = make_power_param(mp_t(0), 1, 21);
+   arg2 = make_power_param(mp_t(0), 1, 21);
+   arg3 = make_power_param(mp_t(0), 1, 21);
+
+   arg1.type |= dummy_param;
+   arg2.type |= dummy_param;
+   arg3.type |= dummy_param;
+
+   data.insert(hypergeometric_generator(), arg1, arg2, arg3);
+
+   line = "hypergeometric_dist_data2.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "hypergeometric_dist_data2");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/ibeta_data.cpp b/src/boost/libs/math/tools/ibeta_data.cpp
new file mode 100644
index 00000000..667365ec
--- /dev/null
+++ b/src/boost/libs/math/tools/ibeta_data.cpp
@@ -0,0 +1,303 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+template <class T>
+struct ibeta_fraction1_t
+{
+   typedef std::pair<T, T> result_type;
+
+   ibeta_fraction1_t(T a_, T b_, T x_) : a(a_), b(b_), x(x_), k(1) {}
+
+   result_type operator()()
+   {
+      T aN;
+      if(k & 1)
+      {
+         int m = (k - 1) / 2;
+         aN = -(a + m) * (a + b + m) * x;
+         aN /= a + 2*m;
+         aN /= a + 2*m + 1;
+      }
+      else
+      {
+         int m = k / 2;
+         aN = m * (b - m) *x;
+         aN /= a + 2*m - 1;
+         aN /= a + 2*m;
+      }
+      ++k;
+      return std::make_pair(aN, T(1));
+   }
+
+private:
+   T a, b, x;
+   int k;
+};
+
+//
+// This function caches previous calls to beta
+// just so we can speed things up a bit:
+//
+template <class T>
+T get_beta(T a, T b)
+{
+   static std::map<std::pair<T, T>, T> m;
+
+   if(a < b)
+      std::swap(a, b);
+
+   std::pair<T, T> p(a, b);
+   typename std::map<std::pair<T, T>, T>::const_iterator i = m.find(p);
+   if(i != m.end())
+      return i->second;
+
+   T r = beta(a, b);
+   p.first = a;
+   p.second = b;
+   m[p] = r;
+
+   return r;
+}
+
+//
+// compute the continued fraction:
+//
+template <class T>
+T get_ibeta_fraction1(T a, T b, T x)
+{
+   ibeta_fraction1_t<T> f(a, b, x);
+   T fract = boost::math::tools::continued_fraction_a(f, boost::math::policies::digits<T, boost::math::policies::policy<> >());
+   T denom = (a * (fract + 1));
+   T num = pow(x, a) * pow(1 - x, b);
+   if(num == 0)
+      return 0;
+   else if(denom == 0)
+      return -1;
+   return num / denom;
+}
+//
+// calculate the incomplete beta from the fraction:
+//
+template <class T>
+std::pair<T,T> ibeta_fraction1(T a, T b, T x)
+{
+   T bet = get_beta(a, b);
+   if(x > ((a+1)/(a+b+2)))
+   {
+      T fract = get_ibeta_fraction1(b, a, 1-x);
+      if(fract/bet > 0.75)
+      {
+         fract = get_ibeta_fraction1(a, b, x);
+         return std::make_pair(fract, bet - fract);
+      }
+      return std::make_pair(bet - fract, fract);
+   }
+   T fract = get_ibeta_fraction1(a, b, x);
+   if(fract/bet > 0.75)
+   {
+      fract = get_ibeta_fraction1(b, a, 1-x);
+      return std::make_pair(bet - fract, fract);
+   }
+   return std::make_pair(fract, bet - fract);
+
+}
+//
+// calculate the regularised incomplete beta from the fraction:
+//
+template <class T>
+std::pair<T,T> ibeta_fraction1_regular(T a, T b, T x)
+{
+   T bet = get_beta(a, b);
+   if(x > ((a+1)/(a+b+2)))
+   {
+      T fract = get_ibeta_fraction1(b, a, 1-x);
+      if(fract == 0)
+         bet = 1;  // normalise so we don't get 0/0
+      else if(bet == 0)
+         return std::make_pair(T(-1), T(-1)); // Yikes!!
+      if(fract / bet > 0.75)
+      {
+         fract = get_ibeta_fraction1(a, b, x);
+         return std::make_pair(fract / bet, 1 - (fract / bet));
+      }
+      return std::make_pair(1 - (fract / bet), fract / bet);
+   }
+   T fract = get_ibeta_fraction1(a, b, x);
+   if(fract / bet > 0.75)
+   {
+      fract = get_ibeta_fraction1(b, a, 1-x);
+      return std::make_pair(1 - (fract / bet), fract / bet);
+   }
+   return std::make_pair(fract / bet, 1 - (fract / bet));
+}
+
+//
+// we absolutely must trunctate the input values to float
+// precision: we have to be certain that the input values
+// can be represented exactly in whatever width floating
+// point type we are testing, otherwise the output will 
+// necessarily be off.
+//
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+boost::mt19937 rnd;
+boost::uniform_real<float> ur_a(1.0F, 5.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen(rnd, ur_a);
+boost::uniform_real<float> ur_a2(0.0F, 100.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen2(rnd, ur_a2);
+
+struct beta_data_generator
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t ap, mp_t bp, mp_t x_)
+   {
+      float a = truncate_to_float(real_cast<float>(gen() * pow(mp_t(10), ap)));      
+      float b = truncate_to_float(real_cast<float>(gen() * pow(mp_t(10), bp))); 
+      float x = truncate_to_float(real_cast<float>(x_));
+      std::cout << a << " " << b << " " << x << std::endl;
+      std::pair<mp_t, mp_t> ib_full = ibeta_fraction1(mp_t(a), mp_t(b), mp_t(x));
+      std::pair<mp_t, mp_t> ib_reg = ibeta_fraction1_regular(mp_t(a), mp_t(b), mp_t(x));
+      return boost::math::make_tuple(a, b, x, ib_full.first, ib_full.second, ib_reg.first, ib_reg.second);
+   }
+};
+
+// medium sized values:
+struct beta_data_generator_medium
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t x_)
+   {
+      mp_t a = gen2();      
+      mp_t b = gen2(); 
+      mp_t x = x_;
+      a = ConvPrec(a, 22);
+      b = ConvPrec(b, 22);
+      x = ConvPrec(x, 22);
+      std::cout << a << " " << b << " " << x << std::endl;
+      //mp_t exp_beta = boost::math::beta(a, b, x);
+      std::pair<mp_t, mp_t> ib_full = ibeta_fraction1(mp_t(a), mp_t(b), mp_t(x));
+      /*exp_beta = boost::math::tools::relative_error(ib_full.first, exp_beta);
+      if(exp_beta > 1e-40)
+      {
+         std::cout << exp_beta << std::endl;
+      }*/
+      std::pair<mp_t, mp_t> ib_reg = ibeta_fraction1_regular(mp_t(a), mp_t(b), mp_t(x));
+      return boost::math::make_tuple(a, b, x, ib_full.first, ib_full.second, ib_reg.first, ib_reg.second);
+   }
+};
+
+struct beta_data_generator_small
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t x_)
+   {
+      float a = truncate_to_float(gen2()/10);      
+      float b = truncate_to_float(gen2()/10); 
+      float x = truncate_to_float(real_cast<float>(x_));
+      std::cout << a << " " << b << " " << x << std::endl;
+      std::pair<mp_t, mp_t> ib_full = ibeta_fraction1(mp_t(a), mp_t(b), mp_t(x));
+      std::pair<mp_t, mp_t> ib_reg = ibeta_fraction1_regular(mp_t(a), mp_t(b), mp_t(x));
+      return boost::math::make_tuple(a, b, x, ib_full.first, ib_full.second, ib_reg.first, ib_reg.second);
+   }
+};
+
+struct beta_data_generator_int
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t a, mp_t b, mp_t x_)
+   {
+      float x = truncate_to_float(real_cast<float>(x_));
+      std::cout << a << " " << b << " " << x << std::endl;
+      std::pair<mp_t, mp_t> ib_full = ibeta_fraction1(a, b, mp_t(x));
+      std::pair<mp_t, mp_t> ib_reg = ibeta_fraction1_regular(a, b, mp_t(x));
+      return boost::math::make_tuple(a, b, x, ib_full.first, ib_full.second, ib_reg.first, ib_reg.second);
+   }
+};
+
+int main(int, char* [])
+{
+   parameter_info<mp_t> arg1, arg2, arg3, arg4, arg5;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the incomplete beta functions:\n"
+      "  beta(a, b, x) and ibeta(a, b, x)\n\n"
+      "This is not an interactive program be prepared for a long wait!!!\n\n";
+
+   arg1 = make_periodic_param(mp_t(-5), mp_t(6), 11);
+   arg2 = make_periodic_param(mp_t(-5), mp_t(6), 11);
+   arg3 = make_random_param(mp_t(0.0001), mp_t(1), 10);
+   arg4 = make_random_param(mp_t(0.0001), mp_t(1), 100 /*500*/);
+   arg5 = make_periodic_param(mp_t(1), mp_t(41), 10);
+
+   arg1.type |= dummy_param;
+   arg2.type |= dummy_param;
+   arg3.type |= dummy_param;
+   arg4.type |= dummy_param;
+   arg5.type |= dummy_param;
+
+   // comment out all but one of the following when running
+   // or this program will take forever to complete!
+   //data.insert(beta_data_generator(), arg1, arg2, arg3);
+   //data.insert(beta_data_generator_medium(), arg4);
+   //data.insert(beta_data_generator_small(), arg4);
+   data.insert(beta_data_generator_int(), arg5, arg5, arg3);
+
+   test_data<mp_t>::const_iterator i, j;
+   i = data.begin();
+   j = data.end();
+   while(i != j)
+   {
+      mp_t v1 = beta((*i)[0], (*i)[1], (*i)[2]);
+      mp_t v2 = relative_error(v1, (*i)[3]);
+      std::string s = boost::lexical_cast<std::string>((*i)[3]);
+      mp_t v3 = boost::lexical_cast<mp_t>(s);
+      mp_t v4 = relative_error(v3, (*i)[3]);
+      if(v2 > 1e-40)
+      {
+         std::cout << v2 << std::endl;
+      }
+      if(v4 > 1e-60)
+      {
+         std::cout << v4 << std::endl;
+      }
+      ++ i;
+   }
+
+   std::cout << "Enter name of test data file [default=ibeta_data.ipp]";
+   std::string line;
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ibeta_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "ibeta_data");
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/ibeta_derivative_data.cpp b/src/boost/libs/math/tools/ibeta_derivative_data.cpp
new file mode 100644
index 00000000..80e01907
--- /dev/null
+++ b/src/boost/libs/math/tools/ibeta_derivative_data.cpp
@@ -0,0 +1,68 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <map>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+#include <libs/math/test/table_type.hpp>
+
+#define T double
+#define SC_(x) static_cast<double>(x)
+#include <libs/math/test/ibeta_int_data.ipp>
+
+int main(int, char* [])
+{
+   std::cout << "Enter name of test data file [default=ibeta_derivative_data.ipp]";
+   std::string line;
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "ibeta_derivative_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+
+   ofs <<
+      "//  (C) Copyright John Maddock 2006.\n"
+      "//  Use, modification and distribution are subject to the\n"
+      "//  Boost Software License, Version 1.0. (See accompanying file\n"
+      "//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)\n"
+      "\n\n"
+      "static const boost::array<boost::array<typename table_type<T>::type, 4>, " << ibeta_int_data.size() << "> ibeta_derivative_small_data = { {\n";
+     
+
+   for(unsigned i = 0; i < ibeta_int_data.size(); ++i)
+   {
+      mp_t a(ibeta_int_data[i][0]);
+      mp_t b(ibeta_int_data[i][1]);
+      mp_t x(ibeta_int_data[i][2]);
+
+      std::cout << a << std::endl;
+      std::cout << b << std::endl;
+      std::cout << x << std::endl;
+
+      mp_t bet = exp(boost::math::lgamma(a) + boost::math::lgamma(b) - boost::math::lgamma(a + b));
+      mp_t d = pow(1 - x, b - 1) * pow(x, a - 1) / bet;
+
+      ofs << "{{ SC_(" << a << "), SC_(" << b << "), SC_(" << x << "), SC_(" << d << ") }}\n";
+   }
+
+   ofs << "}};\n\n";
+
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/ibeta_inv_data.cpp b/src/boost/libs/math/tools/ibeta_inv_data.cpp
new file mode 100644
index 00000000..17136fc8
--- /dev/null
+++ b/src/boost/libs/math/tools/ibeta_inv_data.cpp
@@ -0,0 +1,86 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+//
+// Force trunctation to float precision of input values:
+// we must ensure that the input values are exactly representable
+// in whatever type we are testing, or the output values will all
+// be thrown off:
+//
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+boost::mt19937 rnd;
+boost::uniform_real<float> ur_a(1.0F, 5.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen(rnd, ur_a);
+boost::uniform_real<float> ur_a2(0.0F, 100.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen2(rnd, ur_a2);
+
+struct ibeta_inv_data_generator
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t ap, mp_t bp, mp_t x_)
+   {
+      float a = truncate_to_float(real_cast<float>(gen() * pow(mp_t(10), ap)));      
+      float b = truncate_to_float(real_cast<float>(gen() * pow(mp_t(10), bp))); 
+      float x = truncate_to_float(real_cast<float>(x_));
+      std::cout << a << " " << b << " " << x << std::flush;
+      mp_t inv = boost::math::ibeta_inv(mp_t(a), mp_t(b), mp_t(x));
+      std::cout << " " << inv << std::flush;
+      mp_t invc = boost::math::ibetac_inv(mp_t(a), mp_t(b), mp_t(x));
+      std::cout << " " << invc << std::endl;
+      return boost::math::make_tuple(a, b, x, inv, invc);
+   }
+};
+
+int main(int argc, char*argv [])
+{
+   bool cont;
+   std::string line;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse incomplete beta function:\n"
+      "  ibeta_inv(a, p) and ibetac_inv(a, q)\n\n";
+
+   arg1 = make_periodic_param(mp_t(-5), mp_t(6), 11);
+   arg2 = make_periodic_param(mp_t(-5), mp_t(6), 11);
+   arg3 = make_random_param(mp_t(0.0001), mp_t(1), 10);
+
+   arg1.type |= dummy_param;
+   arg2.type |= dummy_param;
+   arg3.type |= dummy_param;
+
+   data.insert(ibeta_inv_data_generator(), arg1, arg2, arg3);
+
+   line = "ibeta_inv_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "ibeta_inv_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/ibeta_invab_data.cpp b/src/boost/libs/math/tools/ibeta_invab_data.cpp
new file mode 100644
index 00000000..59a6a774
--- /dev/null
+++ b/src/boost/libs/math/tools/ibeta_invab_data.cpp
@@ -0,0 +1,91 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+//
+// Force trunctation to float precision of input values:
+// we must ensure that the input values are exactly representable
+// in whatever type we are testing, or the output values will all
+// be thrown off:
+//
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+boost::mt19937 rnd;
+boost::uniform_real<float> ur_a(1.0F, 5.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen(rnd, ur_a);
+boost::uniform_real<float> ur_a2(0.0F, 100.0F);
+boost::variate_generator<boost::mt19937, boost::uniform_real<float> > gen2(rnd, ur_a2);
+
+struct ibeta_inv_data_generator
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t, mp_t, mp_t> operator()
+      (mp_t bp, mp_t x_, mp_t p_)
+   {
+      float b = truncate_to_float(real_cast<float>(gen() * pow(mp_t(10), bp))); 
+      float x = truncate_to_float(real_cast<float>(x_));
+      float p = truncate_to_float(real_cast<float>(p_));
+      std::cout << b << " " << x << " " << p << std::flush;
+      mp_t inv = boost::math::ibeta_inva(mp_t(b), mp_t(x), mp_t(p));
+      std::cout << " " << inv << std::flush;
+      mp_t invc = boost::math::ibetac_inva(mp_t(b), mp_t(x), mp_t(p));
+      std::cout << " " << invc << std::endl;
+      mp_t invb = boost::math::ibeta_invb(mp_t(b), mp_t(x), mp_t(p));
+      std::cout << " " << invb << std::flush;
+      mp_t invbc = boost::math::ibetac_invb(mp_t(b), mp_t(x), mp_t(p));
+      std::cout << " " << invbc << std::endl;
+      return boost::math::make_tuple(b, x, p, inv, invc, invb, invbc);
+   }
+};
+
+int main(int argc, char*argv [])
+{
+   bool cont;
+   std::string line;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse incomplete beta function:\n"
+      "  ibeta_inva(a, p) and ibetac_inva(a, q)\n\n";
+
+   arg1 = make_periodic_param(mp_t(-5), mp_t(6), 11);
+   arg2 = make_random_param(mp_t(0.0001), mp_t(1), 10);
+   arg3 = make_random_param(mp_t(0.0001), mp_t(1), 10);
+
+   arg1.type |= dummy_param;
+   arg2.type |= dummy_param;
+   arg3.type |= dummy_param;
+
+   data.insert(ibeta_inv_data_generator(), arg1, arg2, arg3);
+
+   line = "ibeta_inva_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "ibeta_inva_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/igamma_data.cpp b/src/boost/libs/math/tools/igamma_data.cpp
new file mode 100644
index 00000000..ba78a534
--- /dev/null
+++ b/src/boost/libs/math/tools/igamma_data.cpp
@@ -0,0 +1,177 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/lexical_cast.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+
+//
+// Force trunctation to float precision of input values:
+// we must ensure that the input values are exactly representable
+// in whatever type we are testing, or the output values will all
+// be thrown off:
+//
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+//
+// Our generator takes two arguments, but the second is interpreted
+// as an instruction not a value, the second argument won't be placed
+// in the output matrix by class test_data, so we add our algorithmically
+// derived second argument to the output.
+//
+struct igamma_data_generator
+{
+   boost::math::tuple<mp_t, mp_t, mp_t, mp_t, mp_t> operator()(mp_t a, mp_t x)
+   {
+      // very naively calculate spots:
+      mp_t z;
+      switch((int)real_cast<float>(x))
+      {
+      case 1:
+         z = truncate_to_float((std::min)(mp_t(1), a/100));
+         break;
+      case 2:
+         z = truncate_to_float(a / 2);
+         break;
+      case 3:
+         z = truncate_to_float((std::max)(0.9*a, a - 2));
+         break;
+      case 4:
+         z = a;
+         break;
+      case 5:
+         z = truncate_to_float((std::min)(1.1*a, a + 2));
+         break;
+      case 6:
+         z = truncate_to_float(a * 2);
+         break;
+      case 7:
+         z = truncate_to_float((std::max)(mp_t(100), a*100));
+         break;
+      default:
+         BOOST_ASSERT(0 == "Can't get here!!");
+      }
+
+      //mp_t g = boost::math::tgamma(a);
+      mp_t lg = boost::math::tgamma_lower(a, z);
+      mp_t ug = boost::math::tgamma(a, z);
+      mp_t rlg = boost::math::gamma_p(a, z);
+      mp_t rug = boost::math::gamma_q(a, z);
+
+      return boost::math::make_tuple(z, ug, rug, lg, rlg);
+   }
+};
+
+struct gamma_inverse_generator
+{
+   boost::math::tuple<mp_t, mp_t> operator()(const mp_t a, const mp_t p)
+   {
+      mp_t x1 = boost::math::gamma_p_inv(a, p);
+      mp_t x2 = boost::math::gamma_q_inv(a, p);
+      std::cout << "Inverse for " << a << " " << p << std::endl;
+      return boost::math::make_tuple(x1, x2);
+   }
+};
+
+struct gamma_inverse_generator_a
+{
+   boost::math::tuple<mp_t, mp_t> operator()(const mp_t x, const mp_t p)
+   {
+      mp_t x1 = boost::math::gamma_p_inva(x, p);
+      mp_t x2 = boost::math::gamma_q_inva(x, p);
+      std::cout << "Inverse for " << x << " " << p << std::endl;
+      return boost::math::make_tuple(x1, x2);
+   }
+};
+
+
+int main(int argc, char*argv [])
+{
+   bool cont;
+   std::string line;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   if((argc >= 2) && (std::strcmp(argv[1], "-inverse") == 0))
+   {
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the inverse incomplete gamma function:\n"
+         "  gamma_p_inv(a, p) and gamma_q_inv(a, q)\n\n";
+      do{
+         get_user_parameter_info(arg1, "a");
+         get_user_parameter_info(arg2, "p");
+         data.insert(gamma_inverse_generator(), arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+   else if((argc >= 2) && (std::strcmp(argv[1], "-inverse_a") == 0))
+   {
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the inverse incomplete gamma function:\n"
+         "  gamma_p_inva(a, p) and gamma_q_inva(a, q)\n\n";
+      do{
+         get_user_parameter_info(arg1, "x");
+         get_user_parameter_info(arg2, "p");
+         data.insert(gamma_inverse_generator_a(), arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+   else
+   {
+      arg2 = make_periodic_param(mp_t(1), mp_t(8), 7);
+      arg2.type |= boost::math::tools::dummy_param;
+
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the incomplete gamma function:\n"
+         "  gamma(a, z)\n\n";
+
+      do{
+         get_user_parameter_info(arg1, "a");
+         data.insert(igamma_data_generator(), arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+
+   std::cout << "Enter name of test data file [default=igamma_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "igamma_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "igamma_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/igamma_temme_large_coef.cpp b/src/boost/libs/math/tools/igamma_temme_large_coef.cpp
new file mode 100644
index 00000000..61849ab1
--- /dev/null
+++ b/src/boost/libs/math/tools/igamma_temme_large_coef.cpp
@@ -0,0 +1,206 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/erf.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <map>
+#include <iostream>
+#include <iomanip>
+#include "mp_t.hpp"
+
+using namespace std;
+using namespace boost::math;
+
+//
+// This program calculates the coefficients of the polynomials
+// used for the regularized incomplete gamma functions gamma_p
+// and gamma_q when parameter a is large, and sigma is small
+// (where sigma = fabs(1 - x/a) ).
+//
+// See "The Asymptotic Expansion of the Incomplete Gamma Functions"
+// N. M. Temme.
+// Siam J. Math Anal. Vol 10 No 4, July 1979, p757.
+// Coeffient calculation is described from Eq 3.8 (p762) onwards.
+//
+
+//
+// Alpha:
+//
+mp_t alpha(unsigned k)
+{
+   static map<unsigned, mp_t> data;
+   if(data.empty())
+   {
+      data[1] = 1;
+   }
+
+   map<unsigned, mp_t>::const_iterator pos = data.find(k);
+   if(pos != data.end())
+      return (*pos).second;
+   //
+   // OK try and calculate the value:
+   //
+   mp_t result = alpha(k-1);
+   for(unsigned j = 2; j <= k-1; ++j)
+   {
+      result -= j * alpha(j) * alpha(k-j+1);
+   }
+   result /= (k+1);
+   data[k] = result;
+   return result;
+}
+
+mp_t gamma(unsigned k)
+{
+   static map<unsigned, mp_t> data;
+
+   map<unsigned, mp_t>::const_iterator pos = data.find(k);
+   if(pos != data.end())
+      return (*pos).second;
+
+   mp_t result = (k&1) ? -1 : 1;
+
+   for(unsigned i = 1; i <= (2 * k + 1); i += 2)
+      result *= i;
+   result *= alpha(2 * k + 1);
+   data[k] = result;
+   return result;
+}
+
+mp_t Coeff(unsigned n, unsigned k)
+{
+   map<unsigned, map<unsigned, mp_t> > data;
+   if(data.empty())
+      data[0][0] = mp_t(-1) / 3;
+
+   map<unsigned, map<unsigned, mp_t> >::const_iterator p1 = data.find(n);
+   if(p1 != data.end())
+   {
+      map<unsigned, mp_t>::const_iterator p2 = p1->second.find(k);
+      if(p2 != p1->second.end())
+      {
+         return p2->second;
+      }
+   }
+
+   //
+   // If we don't have the value, calculate it:
+   //
+   if(k == 0)
+   {
+      // special case:
+      mp_t result = (n+2) * alpha(n+2);
+      data[n][k] = result;
+      return result;
+   }
+   // general case:
+   mp_t result = gamma(k) * Coeff(n, 0) + (n+2) * Coeff(n+2, k-1);
+   data[n][k] = result;
+   return result;
+}
+
+void calculate_terms(double sigma, double a, unsigned bits)
+{
+   cout << endl << endl;
+   cout << "Sigma:        " << sigma << endl;
+   cout << "A:            " << a << endl;
+   double lambda = 1 - sigma;
+   cout << "Lambda:       " << lambda << endl;
+   double y = a * (-sigma - log1p(-sigma));
+   cout << "Y:            " << y << endl;
+   double z = -sqrt(2 * (-sigma - log1p(-sigma)));
+   cout << "Z:            " << z << endl;
+   double dom = erfc(sqrt(y)) / 2;
+   cout << "Erfc term:    " << dom << endl;
+   double lead = exp(-y) / sqrt(2 * constants::pi<double>() * a);
+   cout << "Remainder factor: " << lead << endl;
+   double eps = ldexp(1.0, 1 - static_cast<int>(bits));
+   double target = dom * eps / lead;
+   cout << "Target smallest term: " << target << endl;
+
+   unsigned max_n = 0;
+
+   for(unsigned n = 0; n < 10000; ++n)
+   {
+      double term = tools::real_cast<double>(Coeff(n, 0) * pow(z, (double)n));
+      if(fabs(term) < target)
+      {
+         max_n = n-1;
+         break;
+      }
+   }
+   cout << "Max n required:  " << max_n << endl;
+
+   unsigned max_k;
+   for(unsigned k = 1; k < 10000; ++k)
+   {
+      double term = tools::real_cast<double>(Coeff(0, k) * pow(a, -((double)k)));
+      if(fabs(term) < target)
+      {
+         max_k = k-1;
+         break;
+      }
+   }
+   cout << "Max k required:  " << max_k << endl << endl;
+
+   bool code = false;
+   cout << "Print code [0|1]? ";
+   cin >> code;
+
+   int prec = 2 + (static_cast<double>(bits) * 3010LL)/10000;
+   std::cout << std::scientific << std::setprecision(40);
+
+   if(code)
+   {
+      cout << "   T workspace[" << max_k+1 << "];\n\n";
+      for(unsigned k = 0; k <= max_k; ++k)
+      {
+         cout <<
+            "   static const T C" << k << "[] = {\n";
+         for(unsigned n = 0; n < 10000; ++n)
+         {
+            double term = tools::real_cast<double>(Coeff(n, k) * pow(a, -((double)k)) * pow(z, (double)n));
+            if(fabs(term) < target)
+            {
+               break;
+            }
+            cout << "      " << Coeff(n, k) << "L,\n";
+         }
+         cout << 
+            "   };\n"
+            "   workspace[" << k << "] = tools::evaluate_polynomial(C" << k << ", z);\n\n";
+      }
+      cout << "   T result = tools::evaluate_polynomial(workspace, 1/a);\n\n";
+   }
+}
+
+
+int main()
+{
+   bool cont;
+   do{
+      cont  = false;
+      double sigma;
+      cout << "Enter max value for sigma (sigma = |1 - x/a|): ";
+      cin >> sigma;
+      double a;
+      cout << "Enter min value for a: ";
+      cin >> a;
+      unsigned precision;
+      cout << "Enter number of bits precision required: ";
+      cin >> precision;
+
+      calculate_terms(sigma, a, precision);
+
+      cout << "Try again[0|1]: ";
+      cin >> cont;
+
+   }while(cont);
+
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/inv_hyp_data.cpp b/src/boost/libs/math/tools/inv_hyp_data.cpp
new file mode 100644
index 00000000..cff496bf
--- /dev/null
+++ b/src/boost/libs/math/tools/inv_hyp_data.cpp
@@ -0,0 +1,131 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+struct asinh_data_generator
+{
+   mp_t operator()(mp_t z)
+   {
+      std::cout << z << " ";
+      mp_t result = log(z + sqrt(z * z + 1));
+      std::cout << result << std::endl;
+      return result;
+   }
+};
+
+struct acosh_data_generator
+{
+   mp_t operator()(mp_t z)
+   {
+      std::cout << z << " ";
+      mp_t result = log(z + sqrt(z * z - 1));
+      std::cout << result << std::endl;
+      return result;
+   }
+};
+
+struct atanh_data_generator
+{
+   mp_t operator()(mp_t z)
+   {
+      std::cout << z << " ";
+      mp_t result = log((z + 1) / (1 - z)) / 2;
+      std::cout << result << std::endl;
+      return result;
+   }
+};
+
+int main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+   std::ofstream ofs;
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse hyperbolic sin function:\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(asinh_data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=asinh_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "asinh_data.ipp";
+   ofs.open(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "asinh_data");
+   data.clear();
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse hyperbolic cos function:\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(acosh_data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=acosh_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "acosh_data.ipp";
+   ofs.close();
+   ofs.open(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "acosh_data");
+   data.clear();
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the inverse hyperbolic tan function:\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(atanh_data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=atanh_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "atanh_data.ipp";
+   ofs.close();
+   ofs.open(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "atanh_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/jacobi_zeta_data.cpp b/src/boost/libs/math/tools/jacobi_zeta_data.cpp
new file mode 100644
index 00000000..ded65230
--- /dev/null
+++ b/src/boost/libs/math/tools/jacobi_zeta_data.cpp
@@ -0,0 +1,64 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+mp_t jacobi_zeta(mp_t phi, mp_t k)
+{
+   return ellint_2(k, phi) - ellint_2(k) * ellint_1(k, phi) / ellint_1(k);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "phi"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "k"))
+         return 1;
+
+      mp_t(*fp)(mp_t, mp_t) = &jacobi_zeta;
+      data.insert(fp, arg1, arg2);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=jacobi_zeta_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "jacobi_zeta_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/laguerre_data.cpp b/src/boost/libs/math/tools/laguerre_data.cpp
new file mode 100644
index 00000000..b1777b15
--- /dev/null
+++ b/src/boost/libs/math/tools/laguerre_data.cpp
@@ -0,0 +1,101 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test_data.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+
+template<class T>
+boost::math::tuple<T, T, T> laguerre2_data(T n, T x)
+{
+   n = floor(n);
+   T r1 = laguerre(boost::math::tools::real_cast<unsigned>(n), x);
+   return boost::math::make_tuple(n, x, r1);
+}
+   
+template<class T>
+boost::math::tuple<T, T, T, T> laguerre3_data(T n, T m, T x)
+{
+   n = floor(n);
+   m = floor(m);
+   T r1 = laguerre(real_cast<unsigned>(n), real_cast<unsigned>(m), x);
+   return boost::math::make_tuple(n, m, x, r1);
+}
+
+int main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 2)
+      return 1;
+
+   if(strcmp(argv[1], "--laguerre2") == 0)
+   {
+      do{
+         if(0 == get_user_parameter_info(arg1, "n"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "x"))
+            return 1;
+         arg1.type |= dummy_param;
+         arg2.type |= dummy_param;
+
+         data.insert(&laguerre2_data<mp_t>, arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+   else if(strcmp(argv[1], "--laguerre3") == 0)
+   {
+      do{
+         if(0 == get_user_parameter_info(arg1, "n"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "m"))
+            return 1;
+         if(0 == get_user_parameter_info(arg3, "x"))
+            return 1;
+         arg1.type |= dummy_param;
+         arg2.type |= dummy_param;
+         arg3.type |= dummy_param;
+
+         data.insert(&laguerre3_data<mp_t>, arg1, arg2, arg3);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+
+
+   std::cout << "Enter name of test data file [default=laguerre.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "laguerre.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/lambert_w_errors_graph.cpp b/src/boost/libs/math/tools/lambert_w_errors_graph.cpp
new file mode 100644
index 00000000..45baa200
--- /dev/null
+++ b/src/boost/libs/math/tools/lambert_w_errors_graph.cpp
@@ -0,0 +1,262 @@
+// Copyright Paul A. Bristow 2017, 2018
+// Copyright John Z. Maddock 2017
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or
+//  copy at http ://www.boost.org/LICENSE_1_0.txt).
+
+/*! \brief Graph showing differences of Lambert W function double from nearest representable values.
+
+\details
+
+*/
+
+#include <boost/math/special_functions/lambert_w.hpp>
+using boost::math::lambert_w0;
+using boost::math::lambert_wm1;
+#include <boost/math/special_functions.hpp>
+using boost::math::isfinite;
+#include <boost/svg_plot/svg_2d_plot.hpp>
+using namespace boost::svg;
+
+// For higher precision computation of Lambert W.
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/next.hpp> // For float_distance.
+using boost::math::float_distance;
+
+#include <iostream>
+// using std::cout;
+// using std::endl;
+#include <exception>
+#include <stdexcept>
+#include <string>
+#include <array>
+#include <vector>
+#include <utility>
+using std::pair;
+#include <map>
+using std::map;
+#include <set>
+using std::multiset;
+#include <limits>
+using std::numeric_limits;
+#include <cmath> // exp
+
+/*!
+*/
+
+
+int main()
+{
+  try
+  {
+    std::cout << "Lambert W errors graph." << std::endl;
+    using boost::multiprecision::cpp_bin_float_50; 
+    using boost::multiprecision::cpp_bin_float_quad; 
+
+    typedef cpp_bin_float_quad HPT; // High precision type.
+
+    using boost::math::float_distance;
+    using boost::math::policies::precision;
+    using boost::math::policies::digits10;
+    using boost::math::policies::digits2;
+    using boost::math::policies::policy;
+
+    std::cout.precision(std::numeric_limits<double>::max_digits10);
+
+    //[lambert_w_graph_1
+
+    //] [/lambert_w_graph_1]
+    {
+      std::map<const double, double> w0s;   // Lambert W0 branch values, default double precision, digits2 = 53.
+      std::map<const double, double> w0s_50;   // Lambert W0 branch values digits2 = 50.
+
+      int max_distance = 0;
+      int total_distance = 0;
+      int count = 0;
+      const int bits = 7;
+      double min_z = -0.367879; // Close to singularity at -0.3678794411714423215955237701614608727 -exp(-1)
+      //double min_z = 0.06; // Above 0.05 switch point.
+      double max_z = 99.99;
+      double step_z = 0.05;
+
+      for (HPT z = min_z; z < max_z; z += step_z)
+      {
+        double zd = static_cast<double>(z);
+        double w0d = lambert_w0(zd); // double result from same default.
+        HPT w0_best = lambert_w0<HPT>(z);
+        double w0_best_d = static_cast<double>(w0_best); // reference result.
+       // w0s[zd] = (w0d - w0_best_d); // absolute difference.
+        // w0s[z] = 100 * (w0 - w0_best) / w0_best; // difference relative % .
+        w0s[zd] = float_distance<double>(w0d, w0_best_d); // difference in bits.
+        double fd = float_distance<double>(w0d, w0_best_d);
+        int distance = static_cast<int>(fd);
+        int abs_distance = abs(distance);
+
+         // std::cout << count << " " << zd << " " << w0d << " " << w0_best_d
+         //   << ", Difference = " << w0d - w0_best_d << ", % = " << (w0d - w0_best_d) / w0d << ", Distance = " << distance << std::endl;
+
+        total_distance += abs_distance;
+        if (abs_distance > max_distance)
+        {
+          max_distance = abs_distance;
+        }
+        count++;
+      } // for z
+      std::cout << "points " << count << std::endl;
+      std::cout.precision(3);
+      std::cout << "max distance " << max_distance << ", total distances = " << total_distance
+        << ", mean distance " << (float)total_distance / count << std::endl;
+
+      typedef std::map<const double, double>::const_iterator Map_Iterator;
+
+   /* for (std::map<const double, double>::const_iterator it = w0s.begin(); it != w0s.end(); ++it)
+      {
+        std::cout  << " " << *(it) << "\n";
+      }
+  */
+      svg_2d_plot data_plot_0; // <-0.368, -46> <-0.358, -4> <-0.348, 1>...
+
+      data_plot_0.title("Lambert W0 function differences from 'best' for double.")
+        .title_font_size(11)
+        .x_size(400)
+        .y_size(200)
+        .legend_on(false)
+        //.legend_font_weight(1)
+        .x_label("z")
+        .y_label("W0 difference (bits)")
+        //.x_label_on(true)
+        //.y_label_on(true)
+        //.xy_values_on(false)
+        .x_range(-1, 100.)
+        .y_range(-4., +4.)
+        .x_major_interval(10.)
+        .y_major_interval(2.)
+        .x_major_grid_on(true)
+        .y_major_grid_on(true)
+        .x_label_font_size(9)
+        .y_label_font_size(9)
+        //.x_values_on(true)
+        //.y_values_on(true)
+        .y_values_rotation(horizontal)
+        //.plot_window_on(true)
+        .x_values_precision(3)
+        .y_values_precision(3)
+        .coord_precision(3) // Needed to avoid stepping on curves.
+        //.coord_precision(4) // Needed to avoid stepping on curves.
+        .copyright_holder("Paul A. Bristow")
+        .copyright_date("2018")
+        //.background_border_color(black);
+        ;
+
+
+      data_plot_0.plot(w0s, "W0 branch").line_color(red).shape(none).line_on(true).bezier_on(false).line_width(0.2);
+      //data_plot.plot(wm1s, "W-1 branch").line_color(blue).shape(none).line_on(true).bezier_on(false).line_width(1);
+      data_plot_0.write("./lambert_w0_errors_graph");
+
+    } // end W0 branch plot.
+    { // Repeat for Lambert W-1 branch.
+
+      std::map<const double, double> wm1s;   // Lambert W-1 branch values.
+      std::map<const double, double> wm1s_50;   // Lambert Wm1 branch values digits2 = 50.
+
+      int max_distance = 0;
+      int total_distance = 0;
+      int count = 0;
+      const int bits = 7;
+      double min_z = -0.367879; // Close to singularity at -0.3678794411714423215955237701614608727 -exp(-1)
+                                //double min_z = 0.06; // Above 0.05 switch point.
+      double max_z = -0.0001;
+      double step_z = 0.001;
+
+      for (HPT z = min_z; z < max_z; z += step_z)
+      {
+        if (z > max_z)
+        {
+          break;
+        }
+        double zd = static_cast<double>(z);
+        double wm1d = lambert_wm1(zd); // double result from same default.
+        HPT wm1_best = lambert_wm1<HPT>(z);
+        double wm1_best_d = static_cast<double>(wm1_best); // reference result.
+                                                         // wm1s[zd] = (wm1d - wm1_best_d); // absolute difference.
+                                                         // wm1s[z] = 100 * (wm1 - wm1_best) / wm1_best; // difference relative % .
+        wm1s[zd] = float_distance<double>(wm1d, wm1_best_d); // difference in bits.
+        double fd = float_distance<double>(wm1d, wm1_best_d);
+        int distance = static_cast<int>(fd);
+        int abs_distance = abs(distance);
+
+         //std::cout << count << " " << zd << " " << wm1d << " " << wm1_best_d
+         //  << ", Difference = " << wm1d - wm1_best_d << ", % = " << (wm1d - wm1_best_d) / wm1d << ", Distance = " << distance << std::endl;
+
+        total_distance += abs_distance;
+        if (abs_distance > max_distance)
+        {
+          max_distance = abs_distance;
+        }
+        count++;
+
+      } // for z
+      std::cout << "points " << count << std::endl;
+      std::cout.precision(3);
+      std::cout << "max distance " << max_distance << ", total distances = " << total_distance
+        << ", mean distance " << (float)total_distance / count << std::endl;
+
+      typedef std::map<const double, double>::const_iterator Map_Iterator;
+
+      /* for (std::map<const double, double>::const_iterator it = wm1s.begin(); it != wm1s.end(); ++it)
+      {
+      std::cout  << " " << *(it) << "\n";
+      }
+      */
+      svg_2d_plot data_plot_m1; // <-0.368, -46> <-0.358, -4> <-0.348, 1>...
+
+      data_plot_m1.title("Lambert W-1 function differences from 'best' for double.")
+        .title_font_size(11)
+        .x_size(400)
+        .y_size(200)
+        .legend_on(false)
+        //.legend_font_weight(1)
+        .x_label("z")
+        .y_label("W-1 difference (bits)")
+        .x_range(-0.39, +0.0001)
+        .y_range(-4., +4.)
+        .x_major_interval(0.1)
+        .y_major_interval(2.)
+        .x_major_grid_on(true)
+        .y_major_grid_on(true)
+        .x_label_font_size(9)
+        .y_label_font_size(9)
+        //.x_values_on(true)
+        //.y_values_on(true)
+        .y_values_rotation(horizontal)
+        //.plot_window_on(true)
+        .x_values_precision(3)
+        .y_values_precision(3)
+        .coord_precision(3) // Needed to avoid stepping on curves.
+                            //.coord_precision(4) // Needed to avoid stepping on curves.
+        .copyright_holder("Paul A. Bristow")
+        .copyright_date("2018")
+        //.background_border_color(black);
+        ;
+        data_plot_m1.plot(wm1s, "W-1 branch").line_color(darkblue).shape(none).line_on(true).bezier_on(false).line_width(0.2);
+        data_plot_m1.write("./lambert_wm1_errors_graph");
+    }
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}  // int main()
+
+   /*
+   //[lambert_w_errors_graph_1_output
+   Lambert W errors graph.
+   points 2008
+   max distance 46, total distances = 717, mean distance 0.357
+
+   points 368
+   max distance 23, total distances = 329, mean distance 0.894
+
+   //] [/lambert_w_errors_graph_1_output]
+   */
diff --git a/src/boost/libs/math/tools/lambert_w_high_reference_values.cpp b/src/boost/libs/math/tools/lambert_w_high_reference_values.cpp
new file mode 100644
index 00000000..11dd4306
--- /dev/null
+++ b/src/boost/libs/math/tools/lambert_w_high_reference_values.cpp
@@ -0,0 +1,182 @@
+// \modular-boost\libs\math\test\lambert_w_high_reference_values.cpp
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Write a C++ file \lambert_w_mp_hi_values.ipp
+// containing arrays of z arguments and 100 decimal digit precision lambert_w0(z) reference values.
+// These can be used in tests of precision of less-precise types like
+// built-in float, double, long double and quad and cpp_dec_float_50.
+
+// These cover the range from 0.5 to (std::numeric_limits<>::max)();
+// The Fukushima algorithm changes from a series function for all z > 0.5.
+
+// Multiprecision types:
+//#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_100
+using  boost::multiprecision::cpp_dec_float_100;
+
+#include <boost/math/special_functions/lambert_w.hpp> //
+using boost::math::lambert_w0;
+using boost::math::lambert_wm1;
+
+#include <iostream>
+// using std::cout; using std::std::endl; using std::ios; using std::std::cerr;
+#include <iomanip>
+using std::setprecision;
+using std::showpoint;
+#include <fstream>
+using std::ofstream;
+#include <cassert>
+#include <cfloat> // for DBL_EPS etc
+#include <limits> // for numeric limits.
+//#include <ctype>
+#include <string>
+
+const long double eps = std::numeric_limits<long double>::epsilon();
+
+// Creates if no file exists, & uses default overwrite/ ios::replace.
+const char filename[] = "lambert_w_high_reference_values.ipp"; //
+std::ofstream fout(filename, std::ios::out);
+
+typedef cpp_dec_float_100 RealType;  // 100 decimal digits for the value fed to macro BOOST_MATH_TEST_VALUE.
+// Could also use cpp_dec_float_50 or cpp_bin_float types.
+
+const int no_of_tests = 450; // 500 overflows float.
+
+static const float min_z = 0.5F; // for element[0]
+
+int main()
+{  // Make C++ file containing Lambert W test values.
+  std::cout << filename << " ";
+  std::cout << std::endl;
+  std::cout << "Lambert W0 decimal digit precision values for high z argument values." << std::endl;
+
+  if (!fout.is_open())
+  {  // File failed to open OK.
+    std::cerr << "Open file " << filename << " failed!" << std::endl;
+    std::cerr << "errno " << errno << std::endl;
+    return -1;
+  }
+  try
+  {
+    int output_precision = std::numeric_limits<RealType>::digits10;
+    // cpp_dec_float_100 is ample precision and
+    // has several extra bits internally so max_digits10 are not needed.
+    fout.precision(output_precision);
+    fout << std::showpoint << std::endl; // Do show trailing zeros.
+
+    // Intro for RealType values.
+    std::cout << "Lambert W test values written to file " << filename << std::endl;
+    fout <<
+      "\n"
+      "// A collection of big Lambert W test values computed using "
+      << output_precision << " decimal digits precision.\n"
+      "// C++ floating-point type is " << "RealType."  "\n"
+      "\n"
+      "// Written by " << __FILE__ << " " << __TIMESTAMP__ << "\n"
+
+      "\n"
+      "// Copyright Paul A. Bristow 2017."   "\n"
+      "// Distributed under the Boost Software License, Version 1.0." "\n"
+      "// (See accompanying file LICENSE_1_0.txt" "\n"
+      "// or copy at http://www.boost.org/LICENSE_1_0.txt)" "\n"
+      << std::endl;
+
+    fout << "// Size of arrays of arguments z and Lambert W" << std::endl;
+    fout << "static const unsigned int noof_tests = " << no_of_tests << ";" << std::endl;
+
+    // Declare arrays of z and Lambert W.
+    fout << "\n// Declare arrays of arguments z and Lambert W(z)" << std::endl;
+    fout <<
+      "\n"
+      "template <typename RealType>""\n"
+      "static RealType zs[" << no_of_tests << "];"
+      << std::endl;
+
+    fout <<
+      "\n"
+      "template <typename RealType>""\n"
+      "static RealType ws[" << no_of_tests << "];"
+      << std::endl;
+
+    fout << "// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure\n"
+      "// that both built-in and multiprecision types are correctly initialiased with full precision.\n"
+      "// built-in types like float, double require a floating-point literal like 3.14,\n"
+      "// but multiprecision types require a decimal digit string like \"3.14\".\n"
+      "// Numerical values are chosen to avoid exactly representable values."
+      << std::endl;
+
+    static const RealType min_z = 0.6; // for element[0]
+
+    const RealType max_z = (std::numeric_limits<float>::max)() / 10; // (std::numeric_limits<float>::max)() to make sure is OK for all floating-point types.
+    // Less a bit as lambert_w0(max) may be inaccurate.
+    const RealType step_size = 0.5F; // Increment step size.
+    const RealType step_factor = 2.f; // Multiple factor, typically 2, 5 or 10.
+    const int step_modulo = 5;
+
+    RealType z = min_z;
+
+    // Output function to initialize array of arguments z and Lambert W.
+    fout <<
+      "\n"
+      << "template <typename RealType>\n"
+      "void init_zws()\n"
+      "{\n";
+
+    for (size_t index = 0; (index != no_of_tests); index++)
+    {
+      fout
+        << "  zs<RealType>[" << index << "] = BOOST_MATH_TEST_VALUE(RealType, "
+        << z // Since start with converting a float may get lots of usefully random digits.
+        << ");"
+        << std::endl;
+
+      fout
+        << "  ws<RealType>[" << index << "] = BOOST_MATH_TEST_VALUE(RealType, "
+        << lambert_w0(z)
+        << ");"
+        << std::endl;
+
+      if ((index % step_modulo) == 0)
+      {
+        z *= step_factor; //
+      }
+      z += step_size;
+      if (z >= max_z)
+      { // Don't go over max for float.
+        std::cout << "too big z" << std::endl;
+        break;
+      }
+    } // for index
+    fout << "};" << std::endl;
+
+    fout << "// End of lambert_w_mp_high_values.ipp " << std::endl;
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << "Exception " << ex.what() << std::endl;
+  }
+
+  fout.close();
+
+  std::cout << no_of_tests << " Lambert_w0 values written to files " << __TIMESTAMP__ << std::endl;
+  return 0;
+}  // main
+
+
+/*
+A few spot checks again Wolfram:
+
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 1.6999999999999999555910790149937383830547332763671875);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 0.7796011225311008662356536916883580556792500749037209859530390902424444585607630246126725241921761054);
+  Wolfram                                            0.7796011225311008662356536916883580556792500749037209859530390902424444585607630246126725241921761054
+
+  zs<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 3250582.599999999976716935634613037109375);
+  ws<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 12.47094339016839065212822905567651460418204106065566910956134121802725695306834966790193342511971825);
+  Wolfram                                            12.47094339016839065212822905567651460418204106065566910956134121802725695306834966790193342511971825
+
+*/
+
diff --git a/src/boost/libs/math/tools/lambert_w_lookup_table_generator.cpp b/src/boost/libs/math/tools/lambert_w_lookup_table_generator.cpp
new file mode 100644
index 00000000..8d4ebe1d
--- /dev/null
+++ b/src/boost/libs/math/tools/lambert_w_lookup_table_generator.cpp
@@ -0,0 +1,469 @@
+// Lambert W lookup table generator lambert_w_lookup_table_generator.cpp
+
+//! \file
+//! Output a table of precomputed array values for Lambert W0 and W-1,
+//! and square roots and halves, and powers of e,
+// as a .ipp file for use by lambert_w.hpp.
+
+//! \details Output as long double precision (suffix L) using Boost.Multiprecision
+//! to 34 decimal digits precision to cater for platforms that have 128-bit long double.
+//! The function bisection can then use any built-in floating-point type,
+//! which may have different precision and speed on different platforms.
+//! The actual builtin floating-point type of the arrays is chosen by a
+//! typedef in \modular-boost\libs\math\include\boost\math\special_functions\lambert_w.hpp
+//! by default, for example: typedef double lookup_t;
+
+
+// This includes lookup tables for both branches W0 and W-1.
+// Only W-1 is needed by current code that uses JM rational Polynomials,
+// but W0 is kept (for now) to allow comparison with the previous FKDVPB version
+// that uses lookup for W0 branch as well as W-1.
+
+#include <boost/config.hpp>
+#include <boost/math/constants/constants.hpp> // For exp_minus_one == 3.67879441171442321595523770161460867e-01.
+using boost::math::constants::exp_minus_one; // 0.36787944
+using boost::math::constants::root_e; // 1.64872
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_50;
+
+#include <iostream>
+#include <fstream>
+#include <typeinfo>
+
+/*
+typedef double lookup_t; // Type for lookup table (double or float?)
+
+BOOST_STATIC_CONSTEXPR std::size_t noof_sqrts = 12;
+BOOST_STATIC_CONSTEXPR lookup_t a[noof_sqrts] = // 0.6065 0.7788, 0.8824 ... 0.9997, sqrt of previous elements.
+{
+0.60653065971263342, 0.77880078307140487, 0.8824969025845954, 0.93941306281347579, 0.96923323447634408, 0.98449643700540841,
+0.99221793826024351, 0.99610136947011749, 0.99804878110747547, 0.99902391418197566, 0.99951183793988937, 0.99975588917489722
+};
+BOOST_STATIC_CONSTEXPR  lookup_t b[noof_sqrts] = // 0.5 0.25 0.125, 0.0625 ...  0.0002441, halves of previous elements.
+{ 0.5, 0.25, 0.125, 0.0625, 0.03125, 0.015625, 0.0078125, 0.00390625, 0.001953125, 0.0009765625, 0.00048828125, 0.000244140625 };
+
+BOOST_STATIC_CONSTEXPR size_t noof_w0zs = 65;
+BOOST_STATIC_CONSTEXPR lookup_t g[noof_w0zs] = // lambert_w[k] for W0 branch. 0 2.7182 14.77 60.2566 ... 1.445e+29 3.990e+29.
+{ 0., 2.7182818284590452, 14.7781121978613, 60.256610769563003, 218.39260013257696, 742.06579551288302, 2420.5727609564107, 7676.4321089992102,
+23847.663896333826, 72927.755348178456, 220264.65794806717, 658615.558867176, 1953057.4970280471, 5751374.0961159665, 16836459.978306875, 49035260.58708166,
+142177768.32812596, 410634196.81078007, 1181879444.4719492, 3391163718.300558, 9703303908.1958056, 27695130424.147509, 78868082614.895014, 224130479263.72476,
+635738931116.24334, 1800122483434.6468, 5088969845149.8079, 14365302496248.563, 40495197800161.305, 114008694617177.22, 320594237445733.86,
+900514339622670.18, 2526814725845782.2, 7083238132935230.1, 19837699245933466., 55510470830970076., 1.5520433569614703e+17, 4.3360826779369662e+17,
+1.2105254067703227e+18, 3.3771426165357561e+18, 9.4154106734807994e+18, 2.6233583234732253e+19, 7.3049547543861044e+19, 2.032970971338619e+20,
+5.6547040503180956e+20, 1.5720421975868293e+21, 4.3682149334771265e+21, 1.2132170565093317e+22, 3.3680332378068632e+22, 9.3459982052259885e+22,
+2.5923527642935362e+23, 7.1876803203773879e+23, 1.99212416037262e+24, 5.5192924995054165e+24, 1.5286067837683347e+25, 4.2321318958281094e+25,
+1.1713293177672778e+26, 3.2408603996214814e+26, 8.9641258264226028e+26, 2.4787141382364034e+27, 6.8520443388941057e+27, 1.8936217407781711e+28,
+5.2317811346197018e+28, 1.4450833904658542e+29, 3.9904954117194348e+29
+};
+
+BOOST_STATIC_CONSTEXPR std::size_t noof_wm1zs = 66;
+BOOST_STATIC_CONSTEXPR lookup_t e[noof_wm1zs] = // lambert_w[k] for W-1 branch. 2.7182 1. 0.3678 0.1353 0.04978 ... 4.359e-28 1.603e-28
+{
+2.7182818284590452, 1., 0.36787944117144232, 0.13533528323661269, 0.049787068367863943, 0.01831563888873418, 0.0067379469990854671,
+0.0024787521766663584, 0.00091188196555451621, 0.00033546262790251184, 0.00012340980408667955, 4.5399929762484852e-05, 1.6701700790245659e-05,
+6.1442123533282098e-06, 2.2603294069810543e-06, 8.3152871910356788e-07, 3.0590232050182579e-07, 1.1253517471925911e-07, 4.1399377187851667e-08,
+1.5229979744712628e-08, 5.6027964375372675e-09, 2.0611536224385578e-09, 7.5825604279119067e-10, 2.7894680928689248e-10, 1.026187963170189e-10,
+3.7751345442790977e-11, 1.3887943864964021e-11, 5.1090890280633247e-12, 1.8795288165390833e-12, 6.914400106940203e-13, 2.5436656473769229e-13,
+9.3576229688401746e-14, 3.4424771084699765e-14, 1.2664165549094176e-14, 4.6588861451033974e-15, 1.713908431542013e-15, 6.3051167601469894e-16,
+2.3195228302435694e-16, 8.5330476257440658e-17, 3.1391327920480296e-17, 1.1548224173015786e-17, 4.248354255291589e-18, 1.5628821893349888e-18,
+5.7495222642935598e-19, 2.1151310375910805e-19, 7.7811322411337965e-20, 2.8625185805493936e-20, 1.0530617357553812e-20, 3.8739976286871871e-21,
+1.4251640827409351e-21, 5.2428856633634639e-22, 1.9287498479639178e-22, 7.0954741622847041e-23, 2.6102790696677048e-23, 9.602680054508676e-24,
+3.532628572200807e-24, 1.2995814250075031e-24, 4.7808928838854691e-25, 1.7587922024243116e-25, 6.4702349256454603e-26, 2.3802664086944006e-26,
+8.7565107626965203e-27, 3.2213402859925161e-27, 1.185064864233981e-27, 4.359610000063081e-28, 1.6038108905486378e-28
+};
+
+lambert_w0 version of array from Fukushima
+
+// lambert_w[k] for W-1 branch. 2.7182 1. 0.3678 0.1353 0.04978 ... 4.359e-28 1.603e-28
+e: 2.7182818284590452, 1., 0.36787944117144232, 0.13533528323661269, 0.049787068367863943, 0.01831563888873418, 0.0067379469990854671,
+0.0024787521766663584, 0.00091188196555451621, 0.00033546262790251184, 0.00012340980408667955, 4.5399929762484852e-05, 1.6701700790245659e-05,
+6.1442123533282098e-06, 2.2603294069810543e-06, 8.3152871910356788e-07, 3.0590232050182579e-07, 1.1253517471925911e-07, 4.1399377187851667e-08,
+1.5229979744712628e-08, 5.6027964375372675e-09, 2.0611536224385578e-09, 7.5825604279119067e-10, 2.7894680928689248e-10, 1.026187963170189e-10,
+3.7751345442790977e-11, 1.3887943864964021e-11, 5.1090890280633247e-12, 1.8795288165390833e-12, 6.914400106940203e-13, 2.5436656473769229e-13,
+9.3576229688401746e-14, 3.4424771084699765e-14, 1.2664165549094176e-14, 4.6588861451033974e-15, 1.713908431542013e-15, 6.3051167601469894e-16,
+2.3195228302435694e-16, 8.5330476257440658e-17, 3.1391327920480296e-17, 1.1548224173015786e-17, 4.248354255291589e-18, 1.5628821893349888e-18,
+5.7495222642935598e-19, 2.1151310375910805e-19, 7.7811322411337965e-20, 2.8625185805493936e-20, 1.0530617357553812e-20, 3.8739976286871871e-21,
+1.4251640827409351e-21, 5.2428856633634639e-22, 1.9287498479639178e-22, 7.0954741622847041e-23, 2.6102790696677048e-23, 9.602680054508676e-24,
+3.532628572200807e-24, 1.2995814250075031e-24, 4.7808928838854691e-25, 1.7587922024243116e-25, 6.4702349256454603e-26, 2.3802664086944006e-26,
+8.7565107626965203e-27, 3.2213402859925161e-27, 1.185064864233981e-27, 4.359610000063081e-28, 1.6038108905486378e-28
+
+// lambert_w[k] for W0 branch. 0 2.7182 14.77 60.2566 ... 1.445e+29 3.990e+29.
+
+g: 0, 2.7182818284590452, 14.7781121978613, 60.256610769563003, 218.39260013257696, 742.06579551288302, 2420.5727609564107, 7676.4321089992102,
+23847.663896333826, 72927.755348178456, 220264.65794806717, 658615.558867176, 1953057.4970280471, 5751374.0961159665, 16836459.978306875, 49035260.58708166,
+142177768.32812596, 410634196.81078007, 1181879444.4719492, 3391163718.300558, 9703303908.1958056, 27695130424.147509, 78868082614.895014, 224130479263.72476,
+635738931116.24334, 1800122483434.6468, 5088969845149.8079, 14365302496248.563, 40495197800161.305, 114008694617177.22, 320594237445733.86,
+900514339622670.18, 2526814725845782.2, 7083238132935230.1, 19837699245933466, 55510470830970076, 1.5520433569614703e+17, 4.3360826779369662e+17,
+1.2105254067703227e+18, 3.3771426165357561e+18, 9.4154106734807994e+18, 2.6233583234732253e+19, 7.3049547543861044e+19, 2.032970971338619e+20,
+5.6547040503180956e+20, 1.5720421975868293e+21, 4.3682149334771265e+21, 1.2132170565093317e+22, 3.3680332378068632e+22, 9.3459982052259885e+22,
+2.5923527642935362e+23, 7.1876803203773879e+23, 1.99212416037262e+24, 5.5192924995054165e+24, 1.5286067837683347e+25, 4.2321318958281094e+25,
+1.1713293177672778e+26, 3.2408603996214814e+26, 8.9641258264226028e+26, 2.4787141382364034e+27, 6.8520443388941057e+27, 1.8936217407781711e+28,
+5.2317811346197018e+28, 1.4450833904658542e+29, 3.9904954117194348e+29
+
+
+lambert_wm1 version of arrays from Fukushima
+e: 2.7182817459106445 7.3890557289123535 20.085535049438477 54.59814453125 148.41314697265625 403.42874145507813 1096.6329345703125 2980.957275390625 8103.08154296875 22026.458984375 59874.12109375 162754.734375 442413.21875 1202603.75 3269015.75 8886106 24154940 65659932 178482192 485164896 1318814848 3584910336 9744796672 26489102336 72004845568 195729457152 532047822848 1446255919104 3931331100672 10686465835008 29048824659968 78962889850880 214643389759488 583461240832000 1586012102852608 4311227773747200 11719131799748608 31855901283450880 86593318145753088 2.3538502982225101e+17 6.398428560008151e+17 1.7392731886358364e+18 4.7278345784949473e+18 1.2851586685678387e+19 3.493423319351296e+19 9.4961089747571704e+19 2.581309902546461e+20 7.0167278463083348e+20 1.9073443887231177e+21 5.1846992652160593e+21 1.4093473476000776e+22 3.831003235981371e+22 1.0413746376682761e+23 2.8307496154307266e+23 7.6947746628514896e+23 2.0916565667371597e+24 5.6857119515524837e+24 1.5455367020327599e+25 4.2012039964445827e+25 1.1420056438012293e+26 3.1042929865047826e+26 8.4383428037470738e+26 2.2937792813113457e+27 6.2351382164292627e+27
+
+g: -0.36787945032119751 -0.27067059278488159 -0.14936122298240662 -0.073262564837932587 -0.033689741045236588 -0.014872515574097633 -0.0063831745646893978 -0.0026837014593183994 -0.0011106884339824319 -0.00045399941154755652 -0.00018371877376921475 -7.3730567237362266e-05 -2.9384291337919421e-05 -1.1641405762929935e-05 -4.5885362851549871e-06 -1.8005634956352878e-06 -7.0378973759943619e-07 -2.7413975089984888e-07 -1.0645318582191976e-07 -4.122309249510181e-08 -1.5923385277005764e-08 -6.1368328196920174e-09 -2.3602335641470518e-09 -9.0603280433754207e-10 -3.471987974901225e-10 -1.3283640853956058e-10 -5.0747316071575455e-11 -1.9360334516105304e-11 -7.3766357605586919e-12 -2.8072891233854591e-12 -1.0671687058344537e-12 -4.0525363013271809e-13 -1.5374336461045079e-13 -5.8272932648966574e-14 -2.206792725173521e-14 -8.3502896573240185e-15 -3.1572303958374423e-15 -1.192871523299666e-15 -4.5038112940094517e-16 -1.699343306816689e-16 -6.4078234365689933e-17 -2.4148019279880996e-17 -9.095073346605316e-18 -3.4237017961279004e-18 -1.2881348671140216e-18 -4.8440896082993503e-19 -1.8207810463107454e-19 -6.8407959442757565e-20 -2.569017156788846e-20 -9.6437611040447661e-21 -3.6186962678628536e-21 -1.357346940624028e-21 -5.0894276378983633e-22 -1.9076220526102576e-22 -7.1477077345829229e-23 -2.6773039821769189e-23 -1.0025130740057213e-23 -3.7527418826161672e-24 -1.4043593713279384e-24 -5.2539147015754201e-25 -1.9650207139502987e-25 -7.3474141096711539e-26 -2.7465588329293218e-26 -1.0264406957471058e-26
+
+
+a: 1.6487212181091309 1.2840254306793213 1.1331484317779541 1.0644944906234741 1.0317434072494507 1.0157476663589478 1.007843017578125 1.0039138793945313 1.0019550323486328 1.0009770393371582 1.0004884004592896 1.000244140625
+
+// These are common to both W0 and W-1
+b: 0.5 0.25 0.125 0.0625 0.03125 0.015625 0.0078125 0.00390625 0.001953125 0.0009765625 0.00048828125 0.000244140625
+
+*/
+
+// Creates if no file exists, & uses default overwrite/ ios::replace.
+//const char filename[] = // "lambert_w_lookup_table.ipp";  // Write to same folder as generator:
+//"I:/modular-boost/libs/math/include/boost/math/special_functions/lambert_w_lookup_table.ipp";
+const char filename[] = "lambert_w_lookup_table.ipp";
+
+std::ofstream fout(filename, std::ios::out); // File output stream.
+
+// 128-bit precision type (so that full precision if long double type uses 128-bit).
+// typedef cpp_bin_float_quad table_lookup_t; // Output using max_digits10 for 37 decimal digit precision.
+// (This is the precision for the tables output as a C++ program,
+// not the precision used by the lambert_w.hpp, that defines another typedef lookup_t, default double.
+
+typedef cpp_bin_float_50 table_lookup_t; // Compute tables to 50 decimla digit precision to avoid slight inaccuracy from repeated multiply.
+
+// But Output using max_digits10 for 37 decimal digit precision.
+
+int main()
+{
+  std::cout << "Lambert W table lookup values." << std::endl;
+  if (!fout.is_open())
+  {  // File failed to open OK.
+    std::cerr << "Open file " << filename << " failed!" << std::endl;
+    std::cerr << "errno " << errno << std::endl;
+    return -1;
+  }
+  try
+  {
+    std::cout << "Lambert W test values writing to file " << filename << std::endl;
+    int output_precision = std::numeric_limits<cpp_bin_float_quad>::max_digits10; // 37 decimal digits.
+    fout.precision(output_precision);
+    fout <<
+      "// Copyright Paul A. Bristow 2017."   "\n"
+      "// Distributed under the Boost Software License, Version 1.0." "\n"
+      "// (See accompanying file LICENSE_1_0.txt" "\n"
+      "// or copy at http://www.boost.org/LICENSE_1_0.txt)" "\n"
+      "\n"
+      "// " << filename << "\n\n"
+      "// A collection of 128-bit precision integral z argument Lambert W values computed using "
+      << output_precision << " decimal digits precision.\n"
+      "// C++ floating-point precision is 128-bit long double.\n"
+      "// Output as "
+      << std::numeric_limits<table_lookup_t>::max_digits10
+      << " decimal digits, suffixed L.\n"
+      "\n"
+      "// C++ floating-point type is provided by lambert_w.hpp typedef."  "\n"
+      "// For example: typedef lookup_t double; (or float or long double)"  "\n"
+
+      "\n"
+      "// Written by " << __FILE__ << " " << __TIMESTAMP__ << "\n"
+      << std::endl;
+
+    fout << "// Sizes of arrays of z values for Lambert W[0], W[1] ... W[64]"
+      "\"n""and W[-1], W[-2] ... W[-64]." << std::endl;
+
+    fout << "\nnamespace boost {\nnamespace math {\nnamespace lambert_w_detail {\nnamespace lambert_w_lookup\n{ \n";
+
+    BOOST_STATIC_CONSTEXPR std::size_t noof_sqrts = 12;
+    BOOST_STATIC_CONSTEXPR std::size_t noof_halves = 12;
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_sqrts = " << noof_sqrts << ";" << std::endl;
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_halves = " << noof_halves << ";" << std::endl; // Common to both branches.
+
+    BOOST_STATIC_CONSTEXPR std::size_t noof_w0zs = 65; // F[k] 0 <= k <= 64. f[0] = F[0], f[64] = F[64]
+    BOOST_STATIC_CONSTEXPR std::size_t noof_w0es = 66; //  noof_w0zs +1 for gratuitous extra power.
+    BOOST_STATIC_CONSTEXPR std::size_t noof_wm1zs = 64; // G[k] 1 <= k <= 64. (W-1 = 0 would be z = -infinity, so not stored in array) g[0] == G[1], g[63] = G[64]
+    BOOST_STATIC_CONSTEXPR std::size_t noof_wm1es = 64; //
+
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_w0es = " << noof_w0zs << ";" << std::endl;
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_w0zs = " << noof_w0zs << ";" << std::endl;
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_wm1es = " << noof_wm1zs << ";" << std::endl;
+    fout << "BOOST_STATIC_CONSTEXPR std::size_t  noof_wm1zs = " << noof_wm1zs << ";" << std::endl;
+
+    // Defining actual lookup table sqrts of e^k, e^-k = 1/e, etc.
+    table_lookup_t halves[noof_halves]; // 0.5 0.25 0.125, 0.0625 ...  0.0002441, halves of previous elements.
+    table_lookup_t sqrtw0s[noof_sqrts]; // 0.6065 0.7788, 0.8824 ... 0.9997, sqrt of previous elements.
+    table_lookup_t sqrtwm1s[noof_sqrts]; // 1.6487, 1.2840 1.1331  ... 1.00024 , sqrt of previous elements.
+    table_lookup_t w0es[noof_w0es]; // lambert_w[k] for W0 branch. 2.7182, 1, 0.3678, 0.1353, ... 1.6038e-28
+    table_lookup_t w0zs[noof_w0zs]; // lambert_w[k] for W0 branch. 0. , 2.7182, 14.77, 60.2566 ... 1.445e+29, 3.990e+29.
+    table_lookup_t wm1es[noof_wm1es];  // lambert_w[k] for W-1 branch. 2.7182 7.38905 20.085 ... 6.235e+27
+    table_lookup_t wm1zs[noof_wm1zs];  // lambert_w[k] for W-1 branch. -0.3678 ... -1.0264e-26
+
+    // e values lambert_w[k] for W-1 branch. 2.7182 1. 0.3678 0.1353 0.04978 ... 4.359e-28 1.603e-28
+
+    using boost::math::constants::e;
+    using boost::math::constants::exp_minus_one;
+
+    {  // z values for integral W F[k] and powers for W0 branch.
+      table_lookup_t ej = 1; //
+      w0es[0] = e<table_lookup_t>(); // e = 2.7182 exp(-1) - 1/e exp_minus_one = 0.36787944.
+      w0es[1] = 1; // e^0
+      w0zs[0] = 0; // F[0] = 0 or W0 branch.
+      for (int j = 1, jj = 2; jj != noof_w0es; ++jj)
+      {
+        w0es[jj] = w0es[j] * exp_minus_one<table_lookup_t>(); // previous * 0.36787944.
+        ej *= e<table_lookup_t>(); // * 2.7182
+        w0zs[j] = j * ej; // For W0 branch.
+        j = jj; // Previous.
+      } // for
+    }
+    // Checks on accuracy of W0 exponents.
+
+    // Checks on e power w0es
+
+    // w0es[64] =       4.3596100000630809736231248158884615452e-28
+    // N[e ^ -63, 37] = 4.359610000063080973623124815888459643*10^-28
+    // So slight loss at last decimal place.
+
+    // Checks on accuracy of z for integral W0 w0zs
+    // w0zs[0] = 0,  z = -infinity expected? but = zero
+    // w0zs[1] = 2.7182818284590452353602874713526623144
+    // w0[2] z = 14.778112197861300454460854921150012956
+    // w0zs[64] = 3.9904954117194348050619127737142022705e+29
+    // N[productlog(0, 3.9904954117194348050619127737142022705 10^+29), 37]
+    //   =  63.99999999999999999999999999999999547
+    //   = 64.0 to 34 decimal digits, so exact. :-)
+
+    { // z values for integral powers G[k] and e^-k for W-1 branch.
+      // Fukushima indexing of G (k-1) differs by 1 from(k).
+      // G[0] = -infinity, so his first item in array g[0] is -0.3678 which is G[1]
+      // and last is g[63] = G[64] = 1.026e-26
+      table_lookup_t e1 = 1. / e<table_lookup_t>(); // 1/e = 0.36787944117144233
+      table_lookup_t ej = e1;
+      wm1es[0] = e<table_lookup_t>(); // e = 2.7182
+      wm1zs[0] = -e1; // -1/e = - 0.3678
+      for (int j = 0, jj = 1; jj != noof_wm1zs; ++jj)
+      {
+        ej *= e1; // * 0.3678..
+        wm1es[jj] = wm1es[j] * e<table_lookup_t>();
+        wm1zs[jj] = -(jj + 1) * ej;
+        j = jj; // Previous.
+      } // for
+    }
+
+    // Checks on W-1 branch accuracy wm1es by comparing with Wolfram.
+    // exp powers:
+    // N[e ^ 1, 37]  2.718281828459045235360287471352662498
+    // wm1es[0] =   2.7182818284590452353602874713526623144  - close enough.
+    // N[e ^ 3, 37]         20.08553692318766774092852965458171790
+    // computed wm1es[2]    2.0085536923187667740928529654581712847e+01L  OK
+    // e ^ 66 =        4.6071866343312915426773184428060086893349003037096040 * 10^28
+    // N[e ^ 66, 34] = 4.607186634331291542677318442806009 10^28
+    // computed        4.6071866343312915426773184428059867859e+28L
+    // N[e ^ 66, 37] = 4.607186634331291542677318442806008689*10^28
+    // so suffering some loss of precision by repeated multiplication computation.
+    // :-(
+
+    // Repeat with cpp_bin_float_50 and correct to 37th decimal digit.
+    //                 4.60718663433129154267731844280600868933490030370929982
+    // output std::cout.precision(std::numeric_limits<cpp_bin_float_quad>::max_digits10) as 37 decimal digits.
+    //                 4.6071866343312915426773184428060086893e+28L
+    // N[e ^ 66, 37] = 4.607186634331291542677318442806008689*10^28
+    // Agrees exactly for 37th place, so should be read in to nearest representable value.
+
+
+    // Checks W-1 branch z values wm1zs
+    // W-1[0] = -2.7067056647322538378799898994496883858e-01
+    // w-1[1] = -1.4936120510359182893802724695018536337e-01
+
+    // wm1zs[65] -1.4325445274604020119111357113179868158e-27
+
+    // N[productlog(-1, -1.4325445274604020119111357113179868158* 10^-27), 37]
+    // = -65.99999999999999999999999999999999955
+    // = -66 accurately, so this is OK.
+    // z = 66 * e^66 =
+    // =N[-66*e ^ -66, 37]
+    //           -1.432544527460402011911135711317986177*10^-27
+    // wm1zs[65] -1.4325445274604020119111357113179868158e-27
+    // which agrees well enough to 34 decimal digits.
+    // last wm1zs[65] = 0 is unused.
+
+    // Halves, common to both W0 and W-1.
+    halves[0] = static_cast<table_lookup_t>(0.5); // Exactly representable.
+    for (int j = 0; j != noof_sqrts -1; ++j)
+    {
+      halves[j+1] = halves[j] / 2;  // Half previous element (/2 will be optimised better?).
+    } // for j
+
+    // W0 sqrts
+    sqrtw0s[0] = static_cast<table_lookup_t>(0.606530659712633423603799534991180453441918135487186955682L);
+    for (int j = 0; j != noof_sqrts -1; ++j)
+    {
+      sqrtw0s[j+1] = sqrt(sqrtw0s[j]); //  Sqrt of previous element. sqrt(1/e), sqrt(sqrt(1/e)) ...
+    } // for j
+
+    // W-1 sqrts
+    sqrtwm1s[0] = root_e<table_lookup_t>();
+    for (int j = 0; j != noof_sqrts -1; ++j)
+    {
+      sqrtwm1s[j+1] = sqrt(sqrtwm1s[j]); //  Sqrt of previous element. sqrt(1/e), sqrt(sqrt(1/e)) ...
+    } // for j
+
+    // Output values as C++ arrays,
+    // using BOOST_STATIC_CONSTEXPR as static and constexpr as possible for platform.
+    fout << std::noshowpoint; // Do show NOT trailing zeros for halves and sqrts values.
+
+    fout <<
+      "\n" "BOOST_STATIC_CONSTEXPR lookup_t halves[noof_halves] = " //
+      "\n" "{ // Common to Lambert W0 and W-1 (and exactly representable)." << "\n  ";
+      for (int i = 0; i != noof_halves; i++)
+      {
+        fout << halves[i] << 'L';
+        if (i != noof_halves - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        else
+        {
+          fout << std::endl;
+        }
+      }
+      fout << "}; // halves, 0.5, 0.25, ... 0.000244140625, common to W0 and W-1." << std::endl;
+
+      fout <<
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t sqrtw0s[noof_sqrts] = " //
+        "\n" "{  // For Lambert W0 only." << "\n  ";
+      for (int i = 0; i != noof_sqrts; i++)
+      {
+        fout << sqrtw0s[i] << 'L';
+        if (i != noof_sqrts - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        else
+        {
+          fout << std::endl;
+        }
+      }
+      fout << "}; // sqrtw0s" << std::endl;
+
+      fout <<
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t sqrtwm1s[noof_sqrts] = " //
+        "\n" "{ // For Lambert W-1 only." << "\n  ";
+      for (int i = 0; i != noof_sqrts; i++)
+      {
+        fout << sqrtwm1s[i] << 'L';
+        if (i != noof_sqrts - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        else
+        {
+          fout << std::endl;
+        }
+      }
+      fout << "}; // sqrtwm1s" << std::endl;
+
+      fout << std::scientific // May be needed to avoid very large dddddddddddddddd.ddddddddddddddd output?
+        << std::showpoint; // Do show trailing zeros for sqrts and halves.
+
+      // Two W0 arrays
+
+      fout << // W0 e values.
+        // Fukushima code generates an extra unused power, but it is not output by using noof_w0zs instead of noof_w0es.
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t w0es[noof_w0zs] = " //
+        "\n" "{ // Fukushima e powers array e[0] = 2.718, 1., e[2] = e^-1 = 0.135, e[3] = e^-2 = 0.133 ... e[64] = 4.3596100000630809736231248158884615452e-28." << "\n  ";
+      for (int i = 0; i != noof_w0zs; i++)
+      {
+        fout << w0es[i] << 'L';
+        if (i != noof_w0es - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        if (i % 4 == 0)
+        {
+          fout << "\n  ";
+        }
+      }
+      fout << "\n}; // w0es" << std::endl;
+
+      fout << // W0 z values for W[1], .
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t w0zs[noof_w0zs] = " //
+        "\n" "{ // z values for W[0], W[1], W[2] ... W[64] (Fukushima array Fk). " << "\n  ";
+      for (int i = 0; i != noof_w0zs; i++)
+      {
+        fout << w0zs[i] << 'L';
+        if (i != noof_w0zs - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        if (i % 4 == 0)
+        {
+          fout << "\n  ";
+        }
+      }
+      fout << "\n}; // w0zs" << std::endl;
+
+      // Two arrays for w-1
+
+      fout << // W-1 e values.
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t wm1es[noof_wm1es] = " //
+        "\n" "{ // Fukushima e array e[0] = e^1 = 2.718, e[1] = e^2 = 7.39 ... e[64] = 4.60718e+28." << "\n  ";
+      for (int i = 0; i != noof_wm1es; i++)
+      {
+        fout << wm1es[i] << 'L';
+        if (i != noof_wm1es - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        if (i % 4 == 0)
+        {
+          fout << "\n  ";
+        }
+      }
+      fout << "\n}; // wm1es" << std::endl;
+
+      fout << // Wm1 z values for integral K.
+        "\n" "BOOST_STATIC_CONSTEXPR lookup_t wm1zs[noof_wm1zs] = " //
+        "\n" "{ // Fukushima G array of z values for integral K, (Fukushima Gk) g[0] (k = -1) = 1 ... g[64] = -1.0264389699511303e-26." << "\n  ";
+      for (int i = 0; i != noof_wm1zs; i++)
+      {
+        fout << wm1zs[i] << 'L';
+        if (i != noof_wm1zs - 1)
+        { // Omit trailing comma on last element.
+          fout << ", ";
+        }
+        if (i % 4 == 0)
+        { // 4 values per line.
+          fout << "\n  ";
+        }
+      }
+      fout << "\n}; // wm1zs" << std::endl;
+
+      fout << "} // namespace lambert_w_lookup\n} // namespace lambert_w_detail\n} // namespace math\n} // namespace boost" << std::endl;
+    }
+    catch (std::exception& ex)
+    {
+      std::cout << "Exception " << ex.what() << std::endl;
+    }
+    fout.close();
+    return 0;
+
+} // int main()
+
+/*
+
+Original arrays as output by Veberic/Fukushima code:
+
+w0 branch
+
+W-1 branch
+
+e: 2.7182818284590451 7.3890560989306495 20.085536923187664 54.598150033144229 148.41315910257657 403.42879349273500 1096.6331584284583 2980.9579870417274 8103.0839275753815 22026.465794806707 59874.141715197788 162754.79141900383 442413.39200892020 1202604.2841647759 3269017.3724721079 8886110.5205078647 24154952.753575277 65659969.137330450 178482300.96318710 485165195.40978980 1318815734.4832134 3584912846.1315880 9744803446.2488918 26489122129.843441 72004899337.385788 195729609428.83853 532048240601.79797 1446257064291.4734 3931334297144.0371 10686474581524.447 29048849665247.383 78962960182680.578 214643579785915.75 583461742527454.00 1586013452313428.3 4311231547115188.5 11719142372802592. 31855931757113704. 86593400423993600. 2.3538526683701958e+17 6.3984349353005389e+17 1.7392749415204982e+18 4.7278394682293381e+18 1.2851600114359284e+19 3.4934271057485025e+19 9.4961194206024286e+19 2.5813128861900616e+20 7.0167359120976157e+20 1.9073465724950953e+21 5.1847055285870605e+21 1.4093490824269355e+22 3.8310080007165677e+22 1.0413759433029062e+23 2.8307533032746866e+23 7.6947852651419974e+23 2.0916594960129907e+24 5.6857199993359170e+24 1.5455389355900996e+25 4.2012104037905024e+25 1.1420073898156810e+26 3.1042979357019109e+26 8.4383566687414291e+26 2.2937831594696028e+27 6.2351490808115970e+27
+
+g: -0.36787944117144233 -0.27067056647322540 -0.14936120510359185 -0.073262555554936742 -0.033689734995427351 -0.014872513059998156 -0.0063831737588816162 -0.0026837010232200957 -0.0011106882367801162 -0.00045399929762484866 -0.00018371870869270232 -7.3730548239938541e-05 -2.9384282290753722e-05 -1.1641402067449956e-05 -4.5885348075273889e-06 -1.8005627955081467e-06 -7.0378941219347870e-07 -2.7413963540482742e-07 -1.0645313231320814e-07 -4.1223072448771179e-08 -1.5923376898615014e-08 -6.1368298043116385e-09 -2.3602323152914367e-09 -9.0603229062698418e-10 -3.4719859662410078e-10 -1.3283631472964657e-10 -5.0747278046555293e-11 -1.9360320299432585e-11 -7.3766303773930841e-12 -2.8072868906520550e-12 -1.0671679036256938e-12 -4.0525329757101402e-13 -1.5374324278841227e-13 -5.8272886672428505e-14 -2.2067908660514491e-14 -8.3502821888768594e-15 -3.1572276215253082e-15 -1.1928704609782527e-15 -4.5038074274761624e-16 -1.6993417021166378e-16 -6.4078169762734621e-17 -2.4147993510032983e-17 -9.0950634616416589e-18 -3.4236981860988753e-18 -1.2881333612472291e-18 -4.8440839844747606e-19 -1.8207788854829806e-19 -6.8407875971564987e-20 -2.5690139750481013e-20 -9.6437492398196038e-21 -3.6186918227652047e-21 -1.3573451162272088e-21 -5.0894204288896066e-22 -1.9076194289884390e-22 -7.1476978375412793e-23 -2.6773000149758669e-23 -1.0025115553818592e-23 -3.7527362568743735e-24 -1.4043571811296988e-24 -5.2539064576179218e-25 -1.9650175744554385e-25 -7.3474021582506962e-26 -2.7465543000397468e-26 -1.0264389699511303e-26
+
+a: 1.6487212707001282 1.2840254166877414 1.1331484530668263 1.0644944589178595 1.0317434074991028 1.0157477085866857 1.0078430972064480 1.0039138893383477 1.0019550335910028 1.0009770394924165 1.0004884004786945 1.0002441704297478
+
+b: 0.50000000000000000 0.25000000000000000 0.12500000000000000 0.062500000000000000 0.031250000000000000 0.015625000000000000 0.0078125000000000000 0.0039062500000000000 0.0019531250000000000 0.00097656250000000000 0.00048828125000000000 0.00024414062500000000
+
+
+*/
+
+
diff --git a/src/boost/libs/math/tools/lambert_w_low_reference_values.cpp b/src/boost/libs/math/tools/lambert_w_low_reference_values.cpp
new file mode 100644
index 00000000..177c6500
--- /dev/null
+++ b/src/boost/libs/math/tools/lambert_w_low_reference_values.cpp
@@ -0,0 +1,237 @@
+// lambert_w_test_values.cpp
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Write a C++ file J:\Cpp\Misc\lambert_w_1000_test_values\lambert_w_mp_values.ipp
+// containing arrays of z arguments and 100 decimal digit precision lambert_w0(z) reference values.
+// These can be used in tests of precision of less-precise types like
+// built-in float, double, long double and quad and cpp_dec_float_50.
+
+// Multiprecision types:
+//#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_100
+using  boost::multiprecision::cpp_dec_float_100;
+
+#include <boost/math/special_functions/lambert_w.hpp> //
+using boost::math::lambert_w0;
+
+#include <iostream>
+// using std::cout; using std::std::endl; using std::ios; using std::std::cerr;
+#include <iomanip>
+using std::setprecision;
+using std::showpoint;
+#include <fstream>
+using std::ofstream;
+#include <cassert>
+#include <cfloat> // for DBL_EPS etc
+#include <limits> // for numeric limits.
+//#include <ctype>
+#include <string>
+#include <algorithm>
+using std::transform;
+
+const char* prefix = "static "; // "static const" or "static constexpr" or just "const "" or "" even?
+// But problems with VS2017 and GCC not accepting same format mean only static at present.
+
+const long double eps = std::numeric_limits<long double>::epsilon();
+
+/*
+
+// Sample test values from Wolfram.
+template <typename RealType>
+static RealType zs[noof_tests];
+
+template <typename RealType>
+void init_zs()
+{
+  zs<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.35);
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.3);
+  zs<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.01);
+  zs<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, +0.01);
+  zs<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 0.1);
+  zs<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 0.5);
+  zs<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 1.);
+  zs<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 2.);
+  zs<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 5.);
+  zs<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 10.);
+  zs<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 100.);
+  zs<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 1e+6);
+};
+
+// 'Known good' Lambert w values using N[productlog(-0.3), 50]
+// evaluated to full precision of RealType (up to 50 decimal digits).
+template <typename RealType>
+static RealType ws[noof_tests];
+
+template <typename RealType>
+void init_ws()
+{
+  ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.7166388164560738505881698000038650406110575701385055261614344530078353170171071547711151137001759321);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.4894022271802149690362312519962933689234100060163590345114659679736814083816206187318524147462752111);
+  ws<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.01010152719853875327292018767138623973670903993475235877290726369225412969738704722202330440072213641);
+  ws<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, 0.009901473843595011885336326816570107953627746494917415482611387085655068978243229360100010886171970918);
+  ws<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 0.09127652716086226429989572142317956865311922405147203264830839460717224625441755165020664592995606710);
+  ws<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 0.3517337112491958260249093009299510651714642155171118040466438461099606107203387108968323038321915693);
+  ws<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 0.5671432904097838729999686622103555497538157871865125081351310792230457930866845666932194469617522946); // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1)
+  ws<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 0.8526055020137254913464724146953174668984533001514035087721073946525150656742630448965773783502494847);
+  ws<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 1.326724665242200223635099297758079660128793554638047479789290393025342679920536226774469916608426789); // https://www.wolframalpha.com/input/?i=N%5Bproductlog(5),+100%5D
+  ws<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 1.745528002740699383074301264875389911535288129080941331322206048555557259941551704989523510778883075);
+  ws<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 3.385630140290050184888244364529726867491694170157806680386174654885206544913039277686735236213650781);
+  ws<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 11.38335808614005262200015678158500428903377470601886512143238610626898610768018867797709315493717650);
+  ////W(1e35) = 76.256377207295812974093508663841808129811690961764 too big for float.
+};
+
+*/
+
+// Global so accessible from output_value.
+// Creates if no file exists, & uses default overwrite/ ios::replace.
+const char filename[] = "lambert_w_low_reference values.ipp"; //
+std::ofstream fout(filename, std::ios::out); ; //
+
+// 100 decimal digits for the value fed to macro BOOST_MATH_TEST_VALUE
+typedef cpp_dec_float_100 RealType;
+
+void output_value(size_t index, RealType value)
+{
+  fout
+    << "  zs<RealType>[" << index << "] = BOOST_MATH_TEST_VALUE(RealType, "
+    << value
+    << ");"
+    << std::endl;
+  return;
+}
+
+void output_lambert_w0(size_t index, RealType value)
+{
+  fout
+    << "  ws<RealType>[" << index << "] = BOOST_MATH_TEST_VALUE(RealType, "
+    << lambert_w0(value)
+    << ");"
+    << std::endl;
+  return;
+}
+
+int main()
+{  // Make C++ file containing Lambert W test values.
+  std::cout << filename << " ";
+#ifdef __TIMESTAMP__
+  std::cout << __TIMESTAMP__;
+#endif
+  std::cout << std::endl;
+  std::cout << "Lambert W0 decimal digit precision values." << std::endl;
+
+  // Note __FILE__ & __TIMESTAMP__ are ANSI standard C & thus Std C++?
+
+  if (!fout.is_open())
+  {  // File failed to open OK.
+    std::cerr << "Open file " << filename << " failed!" << std::endl;
+    std::cerr << "errno " << errno << std::endl;
+    return -1;
+  }
+
+  int output_precision = std::numeric_limits<cpp_dec_float_100>::digits10;
+  // cpp_dec_float_100 is ample precision and
+  // has several extra bits internally so max_digits10 are not needed.
+  fout.precision(output_precision);
+
+  int no_of_tests = 100;
+
+  // Intro for RealType values.
+  std::cout << "Lambert W test values written to file " << filename << std::endl;
+  fout <<
+    "\n"
+    "// A collection of Lambert W test values computed using "
+    << output_precision << " decimal digits precision.\n"
+    "// C++ floating-point type is " << "RealType."  "\n"
+    "\n"
+    "// Written by " << __FILE__ << " " << __TIMESTAMP__ << "\n"
+
+    "\n"
+    "// Copyright Paul A. Bristow 2017."   "\n"
+    "// Distributed under the Boost Software License, Version 1.0." "\n"
+    "// (See accompanying file LICENSE_1_0.txt" "\n"
+    "// or copy at http://www.boost.org/LICENSE_1_0.txt)" "\n"
+    << std::endl;
+
+  fout << "// Size of arrays of arguments z and Lambert W" << std::endl;
+  fout << "static const unsigned int noof_tests = " << no_of_tests << ";" << std::endl;
+
+  // Declare arrays of z and Lambert W.
+
+  fout << "// Declare arrays of arguments z and Lambert W(z)" << std::endl;
+  fout << "// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure\n"
+    "// that both built-in and multiprecision types are correctly initialiased with full precision.\n"
+    "// built-in types like double require a floating-point literal like 3.14,\n"
+    "// but multiprecision types require a decimal digit string like \"3.14\".\n"
+    << std::endl;
+  fout <<
+    "\n"
+    "template <typename RealType>""\n"
+    "static RealType zs[" << no_of_tests << "];"
+    << std::endl;
+
+  fout <<
+    "\n"
+    "template <typename RealType>""\n"
+    "static RealType ws[" << no_of_tests << "];"
+    << std::endl;
+
+  RealType max_z("10");
+  RealType min_z("-0.35");
+  RealType step_size("0.01");
+  size_t step_count = no_of_tests;
+
+  // Output to initialize array of arguments z for Lambert W.
+  fout <<
+    "\n"
+    << "template <typename RealType>\n"
+    "void init_zs()\n"
+    "{\n";
+
+  RealType z = min_z;
+  for (size_t i = 0; (i < no_of_tests); i++)
+  {
+    output_value(i, z);
+    z += step_size;
+  }
+  fout << "};" << std::endl;
+
+  // Output array of Lambert W values.
+  fout <<
+    "\n"
+    << "template <typename RealType>\n"
+    "void init_ws()\n"
+    "{\n";
+
+  z = min_z;
+  for (size_t i = 0; (i < step_count); i++)
+  {
+    output_lambert_w0(i, z);
+    z += step_size;
+  }
+  fout << "};" << std::endl;
+
+  fout << "// End of lambert_w_mp_values.ipp " << std::endl;
+  fout.close();
+
+  std::cout << "Lambert_w0 values written to files " << __TIMESTAMP__ << std::endl;
+  return 0;
+}  // main
+
+
+/*
+
+start and finish checks again Wolfram Alpha:
+ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.7166388164560738505881698000038650406110575701385055261614344530078353170171071547711151137001759321);
+Wolfram N[productlog(-0.35), 100]                 -0.7166388164560738505881698000038650406110575701385055261614344530078353170171071547711151137001759321
+
+
+ws<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, 0.7397278549447991214587608743391115983469848985053641692586810406118264600667862543570373167046626221);
+Wolfram N[productlog(1.55), 100]                   0.7397278549447991214587608743391115983469848985053641692586810406118264600667862543570373167046626221
+
+
+*/
+
diff --git a/src/boost/libs/math/tools/lanczos_generator.cpp b/src/boost/libs/math/tools/lanczos_generator.cpp
new file mode 100644
index 00000000..a16d4364
--- /dev/null
+++ b/src/boost/libs/math/tools/lanczos_generator.cpp
@@ -0,0 +1,5198 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/io.hpp>
+#include <boost/numeric/ublas/operation.hpp>
+#include <boost/cstdint.hpp>
+#include <boost/bind.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/array.hpp>
+#include <boost/random.hpp>
+#include <boost/chrono.hpp>
+#include "mp_t.hpp"
+
+//
+// Define MP_TYPE
+// to a specific precision multiprecision type if you want to
+// create a lanczos approximation for that type.
+//
+
+#define MP_TYPE boost::multiprecision::number<boost::multiprecision::cpp_bin_float<100> >
+
+//
+// this is a sort of recursive include, since this file
+// is used to create the contents of gamma.hpp.
+// However, we will be using the "generic" version of gamma
+// which doesn't use a lanczos approximation.
+//
+#include <boost/math/special_functions/gamma.hpp>
+
+#include <iostream>
+#include <iomanip>
+#include <vector>
+
+using boost::numeric::ublas::matrix;
+using boost::numeric::ublas::vector;
+
+struct lanczos_spot_data
+{
+   int N;
+   double g;
+   double err;
+};
+
+lanczos_spot_data sweet_spots[] = {
+// a few selected spots from Pugh's thesis:
+3, 2.03209, 6.4e-7,
+4, 3.655180, 8.5e-8,
+9, 8.406094, 6.9e-15,
+10, 9.656578, 2.1e-16,
+11, 10.900511, 6.1e-18,
+12, 12.066012, 1.1e-19,
+13, 13.144565, 5.2e-21,
+14, 13.726821, 4.0e-22,
+15, 14.977863, 1.2e-23,
+20, 20.298892, 7.8e-31,
+21, 21.508926, 2.1e-32,
+22, 22.618910, 1.8e-34,
+23, 23.118012, 5.2e-35,
+
+// some more we've found, these are all the points where the first
+// negleted term from the Lanczos series changes sign, there is one 
+// point just above that point, and one just below:
+
+3, 0.58613894134759903, 0.00036580426080686315,
+3, 0.58613894879817963, 0.00036580416320668711,
+3, 1.249951496720314, 4.2305536798953929e-005,
+3, 1.2499515041708946, 4.2305534015367749e-005,
+3, 1.8384982049465179, 1.164778449938813e-005,
+3, 1.8384982123970985, 1.1647786529958048e-005,
+3, 2.3276706635951996, 5.3732582230468998e-006,
+3, 2.3276706710457802, 5.3732600294516588e-006,
+3, 2.6038404405117035, 7.4060771171390379e-007,
+3, 2.6038404479622841, 7.406058543248471e-007,
+4, 0.62704569846391678, 0.00012800533557793425,
+4, 0.62704570591449738, 0.00012800531551557324,
+4, 1.3344274088740349, 9.0166140418663663e-006,
+4, 1.3344274163246155, 9.0166116338646694e-006,
+4, 1.9880444705486298, 1.4955557778725745e-006,
+4, 1.9880444779992104, 1.4955557079994109e-006,
+4, 2.5835030898451805, 4.5877676859600527e-007,
+4, 2.5835030972957611, 4.5877667876325684e-007,
+4, 3.1086832508444786, 2.1441725587707906e-007,
+4, 3.1086832582950592, 2.1441723688775765e-007,
+4, 3.5476611852645874, 1.0813760990515544e-007,
+4, 3.547661192715168, 1.0813766234070327e-007,
+4, 3.6492579728364944, 1.047642251124206e-007,
+4, 3.649257980287075, 1.0476415796074403e-007,
+5, 0.65435918420553207, 5.5274429026631278e-005,
+5, 0.65435919165611267, 5.527441185903385e-005,
+5, 1.389187254011631, 2.6307833416554052e-006,
+5, 1.3891872614622116, 2.6307826816540255e-006,
+5, 2.0801975876092911, 2.9014694764756466e-007,
+5, 2.0801975950598717, 2.9014696142909125e-007,
+5, 2.7272208333015442, 5.9176544536206063e-008,
+5, 2.7272208407521248, 5.9176528019009275e-008,
+5, 3.3269794136285782, 1.9379184595472579e-008,
+5, 3.3269794210791588, 1.9379189057179851e-008,
+5, 3.8722873777151108, 9.0123694745032944e-009,
+5, 3.8722873851656914, 9.0123661007867372e-009,
+5, 4.3516943231225014, 4.9816097608842378e-009,
+5, 4.351694330573082, 4.9816087871575021e-009,
+6, 0.67425807565450668, 2.7371903086326379e-005,
+6, 0.67425808310508728, 2.7371893712684938e-005,
+6, 1.4284561350941658, 9.4138428977455083e-007,
+6, 1.4284561425447464, 9.4138417896969612e-007,
+6, 2.1447814926505089, 7.4109049995920916e-008,
+6, 2.1447815001010895, 7.4109044064461768e-008,
+6, 2.8244904428720474, 1.0708333024058614e-008,
+6, 2.824490450322628, 1.0708333661155651e-008,
+6, 3.4669468700885773, 2.4940116660002578e-009,
+6, 3.4669468775391579, 2.4940118560592828e-009,
+6, 4.0696377158164978, 8.5267622527507512e-010,
+6, 4.0696377232670784, 8.5267624048985822e-010,
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+58, 57.51408203125, 9.40921222802051e-106,
+};
+
+//
+// A bunch of helper functions used for calculating the coefficients:
+//
+mp_t factorial(unsigned n)
+{
+   static boost::array<boost::array<mp_t, 1>, 201> result; 
+   static bool init = false;
+   if(!init)
+   {
+      unsigned k = 1;
+      mp_t fact = 1;
+      do{
+         result[k-1][0] = fact;
+         fact *= k++;
+      }
+      while(k < result.size());
+      init = true;
+   }
+   //static const int array_size = result.size();
+   if(n < result.size())
+      return result[n][0];
+
+   unsigned i = (unsigned)result.size()-1;
+   mp_t r = result[i][0];
+   while(i < n)
+      r *= ++i;
+   return r;
+}
+
+template <class T>
+T binomial(int n, int k, T)
+{
+   T result;
+   if(k < 0) 
+   {
+      result = 0;
+   }
+   else if(k > n)
+   {
+      result = 1;
+   }
+   else
+   {
+      result = factorial(n);
+      result /= factorial(k);
+      result /= factorial(n-k);
+   }
+   return result;
+}
+//
+// Functions for creating the matrices that generate the coefficents.
+// See http://my.fit.edu/~gabdo/gamma.txt and http://www.rskey.org/gamma.htm
+//
+template <class T>
+matrix<T> make_B(unsigned n, T)
+{
+   matrix<T> result(n, n);
+   for(unsigned i = 0; i < n; ++i)
+   {
+      for(unsigned j = 0; j < n; ++j)
+      {
+         if(i == 0)
+            result(i, j) = 1;
+         else if(j >= i)
+         {
+            T r = binomial(i+j-1, j-i, T());
+            if((j-i) %2)
+               r = -r;
+            result(i, j) = r;
+         }
+         else
+            result(i, j) = 0;
+      }
+   }
+   return result;
+}
+
+template <class T>
+matrix<T> make_C(unsigned n, T)
+{
+   matrix<T> result(n, n);
+   for(unsigned i = 0; i < n; ++i)
+   {
+      for(unsigned j = 0; j < n; ++j)
+      {
+         if((i==0) && (j == 0))
+            result(i, j) = 0.5;
+         else if(j > i)
+            result(i, j) = 0;
+         else
+         {
+            T r = 0;
+            for(unsigned k = 0; k <= i; ++k)
+            {
+               r += binomial(2*i, 2*k, T()) * binomial(k, k+j-i, T());
+            }
+            if((i-j)%2)
+               r = -r;
+            result(i, j) = r;
+         }
+      }
+   }
+   return result;
+}
+
+template <class T>
+matrix<T> make_D(unsigned n, T)
+{
+   matrix<T> result(n, n);
+   for(unsigned i = 0; i < n; ++i)
+   {
+      for(unsigned j = 0; j < n; ++j)
+      {
+         if(i != j)
+            result(i, j) = 0;
+         else if(i == 0)
+            result(i, j) = 1;
+         else if(i == 1)
+            result(i, j) = -1;
+         else
+         {
+            T r = result(i-1, i-1) * (2 * (2*i - 1));
+            r /= (i-1);
+            result(i, j) = r;
+         }
+      }
+   }
+   return result;
+}
+
+template <class T>
+matrix<T> make_F(unsigned n, T g)
+{
+   using namespace std;
+   matrix<T> result(n, 1);
+   for(unsigned i = 0; i < n; ++i)
+   {
+      T r = factorial(2 * i); 
+      r /= factorial(i);
+      r *= exp(double(i) + g + 0.5);
+      r /= ldexp(1.0, (2*i)-1);
+      r /= pow(g + i + 0.5, (long)i);
+      r /= sqrt(g + i + 0.5);
+      result(i, 0) = r;
+   }
+   return result;
+}
+
+template <class T>
+struct lanczos_info
+{
+   int n;                   // number of coefficients
+   T r;                     // the arbitrary parameter
+   std::vector<T> c;        // the coefficients
+   T err;                   // error found
+};
+//
+// Create the coefficients, caching previous matrix values as appropriate:
+//
+template <class T>
+lanczos_info<T> generate_lanczos(unsigned n, T g)
+{
+   static unsigned last_n = 0;
+   static matrix<T> last_prefix;
+
+   matrix<T> B, C, D;
+   matrix<T> F, P, E, T1, T2;
+
+   if(n == last_n)
+   {
+      F = make_F(n, g);
+      P = prod(last_prefix, F);
+   }
+   else
+   {
+      B = make_B(n, g);
+      C = make_C(n, g);
+      D = make_D(n, g);
+      F = make_F(n, g);
+
+      T1 = prod(D, B);
+      T2 = prod(T1, C);
+      P = prod(T2, F);
+
+      last_n = n;
+      last_prefix = T2;
+   }
+
+   lanczos_info<T> result;
+   result.n = n;
+   result.r = g;
+   for(unsigned i = 0; i < n; ++i)
+      result.c.push_back(P(i, 0));
+
+   return result;
+}
+//
+// Stopwatch for measuring performance:
+//
+template <class Clock>
+struct stopwatch
+{
+   typedef typename Clock::duration duration;
+   stopwatch()
+   {
+      m_start = Clock::now();
+   }
+   duration elapsed()
+   {
+      return Clock::now() - m_start;
+   }
+   void reset()
+   {
+      m_start = Clock::now();
+   }
+
+private:
+   typename Clock::time_point m_start;
+};
+//
+// Returns the factorials and half factorials:
+//
+template <class T>
+std::vector<std::vector<T> > const & get_test_data()
+{
+   // returns factorials and half factorials in the range [0, 100]:
+   static std::vector<std::vector<T> > data;
+   if(data.empty())
+   {
+      mp_t fact = 1;
+      int k = 1;
+      std::vector<T> item;
+      do
+      {
+         data.push_back(item);
+         data.back().push_back(k-1);
+         data.back().push_back(static_cast<T>(fact));
+         data.back().push_back(static_cast<T>(log(fact)));
+         fact = fact * T(k++);
+      }while(k < 100);
+
+      fact = 0.5;
+      mp_t srpi = sqrt(boost::math::constants::pi<mp_t>());
+      mp_t mul = 1.5;
+      do{
+         data.push_back(item);
+         data.back().push_back(static_cast<T>(mul-1));
+         data.back().push_back(static_cast<T>(fact*srpi));
+         data.back().push_back(static_cast<T>(log(fact*srpi)));
+         fact *= mul;
+         mul += 1;
+      }while(mul < 100);
+   }
+
+   return data;
+}
+
+struct sort_on_0
+{
+   template<class T>
+   bool operator ()(const T& a, const T& b)
+   {
+      return ((a[0]) < (b[0]));
+   }
+};
+//
+// Get test data for points near 0, 1, 2 etc.
+template <class T>
+std::vector<std::vector<T> > const & get_test_data_near_x(T x)
+{
+   // 
+   // this *must* be called with a *very* high precision
+   // type T in order to stand any chance of long double
+   // precision results:
+   //
+   using namespace std;
+   using namespace boost::math;
+   static std::vector<std::vector<T> > data;
+   static T last_x(-10000);
+   if(last_x != x)
+      data.clear();
+   if(!data.size())
+   {
+      last_x = x;
+      std::vector<T> item;
+      for(int i = -4; i > -20; --i)
+      {
+         double val = ldexp(2.0, i);
+         data.push_back(item);
+         data.back().push_back(val+x);
+         data.back().push_back(tgamma(T(val)+x));
+         data.back().push_back(lgamma(T(val)+x));
+         data.push_back(item);
+         data.back().push_back(-val+x);
+         data.back().push_back(tgamma(T(-val)+x));
+         data.back().push_back(lgamma(T(-val)+x));
+      }
+      T v = x-0.5;
+      T interval = T(1)/8;
+      while(v <= x+0.5)
+      {
+         if((floor(v) != v) || (v > 0))
+         {
+            data.push_back(item);
+            data.back().push_back(v);
+            data.back().push_back(tgamma(v));
+            data.back().push_back(lgamma(v));
+         }
+         v += interval;
+      }
+      //
+      // sort data:
+      //
+      std::sort(data.begin(), data.end(), sort_on_0());
+   }
+   return data;
+}
+
+template <class T>
+std::vector<std::vector<T> > const & get_test_data_near_1()
+{
+   return get_test_data_near_x(T(1));
+}
+
+template <class T>
+std::vector<std::vector<T> > const & get_test_data_near_2()
+{
+   return get_test_data_near_x(T(2));
+}
+
+template <class T>
+std::vector<std::vector<T> > const& get_random_test_data()
+{
+   static std::vector<std::vector<T> > data;
+   if (data.empty())
+   {
+      boost::random::mt19937_64 gen;
+      boost::random::uniform_real_distribution<T> dist(1e-30, 100);
+      for (unsigned i = 0; i < 100; ++i)
+      {
+         T value = dist(gen);
+         T result = static_cast<T>(boost::math::tgamma(mp_t(value) + 1));
+         data.push_back(std::vector<T>({value, result}));
+      }
+   }
+   return data;
+}
+
+//
+// Converts Lanczos approximation into rational form via 
+// polynomial arithmetic:
+//
+template <class T>
+struct lanczos_rational
+{
+   std::vector<T> num, denom;
+   int N;
+   T g;
+
+   T gamma(T z)
+   {
+      using namespace std;
+      BOOST_ASSERT(num.size() == denom.size());
+      BOOST_ASSERT(num.size() == N);
+      T zgh = z + g - T(0.5);
+      T prefix = pow(zgh, T(z - 0.5)) / exp(zgh);
+      T s1, s2;
+      if(z < 1)
+      {
+         s1 = num[N-1];
+         s2 = denom[N-1];
+         for(unsigned i = N-2; i >= 0; --i)
+         {
+            s1 *= z;
+            s2 *= z;
+            s1 += num[i];
+            s2 += num[i];
+         }
+         s1 /= s2;
+         return prefix * s1;
+      }
+      else
+      {
+         z = 1/z;
+         s1 = num[0];
+         s2 = denom[0];
+         for(int i = 1; i < N; ++i)
+         {
+            s1 *= z;
+            s2 *= z;
+            s1 += num[i];
+            s2 += denom[i];
+         }
+         s1 /= s2;
+         return prefix * s1;
+      }
+   }
+   T factorial(T z)
+   {
+      return this->gamma(z+1);
+   }
+   template <class U>
+   lanczos_rational(const lanczos_info<U>& info)
+   {
+      U l_denom_coef[2] = { 0, 1 };
+      boost::math::tools::polynomial<U> l_denom(l_denom_coef, 1), l_num(info.c[1]);
+      for(unsigned i = 2; i < info.c.size(); ++i)
+      {
+         l_denom_coef[0] = i - 1;
+         boost::math::tools::polynomial<U> bot(l_denom_coef, 1), top(info.c[i]);
+         l_num *= bot;
+         top *= l_denom;
+         l_denom *= bot;
+         l_num += top;
+      }
+      l_num += l_denom * info.c[0];
+      for(unsigned i = 0; i < info.c.size(); ++i)
+      {
+         num.push_back(boost::math::tools::real_cast<T>(l_num[i]));
+         denom.push_back(boost::math::tools::real_cast<T>(l_denom[i]));
+      }
+      //std::cout << l_num << std::endl;
+      //std::cout << l_denom << std::endl;
+      BOOST_ASSERT(num.size() == l_num.degree()+1);
+      BOOST_ASSERT(denom.size() == l_denom.degree()+1);
+      g = boost::math::tools::real_cast<T>(info.r);
+      N = info.n;
+      /*
+      for(unsigned i = 0; i < num.size(); ++i)
+         std::cout << num[i] << " ";
+      std::cout << std::endl;
+      for(unsigned i = 0; i < denom.size(); ++i)
+         std::cout << denom[i] << " ";
+      std::cout << std::endl;
+      */
+   }
+};
+//
+// Code to test an approximation against the factorials and
+// half factorials, returns the max error found:
+//
+template <class T, class R>
+T get_max_error(const lanczos_info<T>& dat, R, double* time = nullptr)
+{
+   R max_error = 0;
+   std::vector<std::vector<R> > const & tests1 = get_test_data<R>();
+   std::vector<std::vector<R> > const & tests2 = get_random_test_data<R>();
+
+   std::vector<std::vector<R> > tests(tests1.begin(), tests1.end());
+   tests.insert(tests.end(), tests2.begin(), tests2.end());
+
+   lanczos_rational<R> rational(dat);
+
+   stopwatch<boost::chrono::high_resolution_clock> w;
+
+   for(unsigned i = 0; i < tests.size(); ++i)
+   {
+      R input = tests[i][0];
+      R expected = tests[i][1];
+      if(std::numeric_limits<R>::is_specialized && (boost::math::tools::real_cast<R>(tests[i][1]) > (std::numeric_limits<R>::max)()))
+         continue;
+
+      R gamr = rational.factorial(input);
+      if(std::numeric_limits<R>::is_specialized && (gamr > (std::numeric_limits<R>::max)()))
+         continue;
+      R err = boost::math::relative_difference(gamr, expected);
+      if(err > max_error)
+         max_error = err;
+   }
+
+   if (time)
+      * time = boost::chrono::duration_cast<boost::chrono::duration<double>>(w.elapsed()).count();
+
+   return max_error;
+}
+
+template <class T>
+T get_max_error_sterling(double* time = nullptr)
+{
+   std::vector<std::vector<T> > const& tests1 = get_test_data<T>();
+   std::vector<std::vector<T> > const& tests2 = get_random_test_data<T>();
+
+   std::vector<std::vector<T> > tests(tests1.begin(), tests1.end());
+   tests.insert(tests.end(), tests2.begin(), tests2.end());
+
+   T max_err = 0;
+
+   stopwatch<boost::chrono::high_resolution_clock> w;
+
+   for (unsigned i = 0; i < tests.size(); ++i)
+   {
+      T loc = tests[i][0] + 1;
+      T found = boost::math::detail::gamma_imp(loc, boost::math::policies::policy<>(), boost::math::lanczos::undefined_lanczos());
+      T expected = tests[i][1];
+      T err = boost::math::relative_difference(expected, found);
+      if (err > max_err)
+         max_err = err;
+   }
+
+   if(time)
+      *time = boost::chrono::duration_cast<boost::chrono::duration<double>>(w.elapsed()).count();
+
+   return max_err;
+}
+
+//
+// This is what prints the "best" approximation out as code:
+//
+template <class T>
+void print_code(const lanczos_info<T>& l, const char* name, int precision = std::numeric_limits<T>::max_digits10, int precision2 = std::numeric_limits<T>::digits)
+{
+   std::cout << std::scientific << std::setprecision(precision);
+   using namespace std;
+   lanczos_info<T> l2(l);
+   T factor = exp(l.r);
+   for(unsigned k = 0; k < l2.c.size(); ++k)
+      l2.c[k] /= factor;
+
+   lanczos_rational<T> rat(l);
+   T max_term = 0;
+   for(unsigned i = 0; i < rat.denom.size(); ++i)
+   {
+      if(rat.denom[i] > max_term)
+         max_term = rat.denom[i];
+   }
+   const char* denom_type;
+   const char* cast_type;
+   const char* suffix_type;
+   if(max_term < (std::numeric_limits<boost::uint16_t>::max)())
+   {
+      denom_type = "boost::uint16_t";
+      cast_type = "static_cast<boost::uint16_t>";
+      suffix_type = "u";
+   }
+   else if(max_term < (std::numeric_limits<boost::uint32_t>::max)())
+   {
+      denom_type = "boost::uint32_t";
+      cast_type = "static_cast<boost::uint32_t>";
+      suffix_type = "u";
+   }
+#ifdef BOOST_HAS_LONG_LONG
+   else if(max_term < (std::numeric_limits<boost::uint64_t>::max)())
+   {
+      denom_type = "boost::uint64_t";
+      cast_type = "";
+      suffix_type = "uLL";
+   }
+#endif
+   else
+   {
+      denom_type = "T";
+      cast_type = "static_cast<T>";
+      suffix_type = "L";
+   }
+   
+   std::cout <<
+      "//\n"
+      "// Lanczos Coefficients for N=" << l.n << " G=" << l.r << "\n"
+      "// Max experimental error (with ";
+   if(std::strlen(name) == 0)
+      std::cout << "arbitary";
+   else
+      std::cout << name;
+   std::cout << " precision arithmetic) " << l.err <<
+      "\n// Generated with compiler: " << BOOST_COMPILER << " on " << BOOST_PLATFORM << " at " << __DATE__ << "\n"
+      "// Type precision was " << precision2 << " bits or " << precision << " max_digits10\n"
+      "//\n"
+      "struct lanczos" << l.n << name << " : public mpl::int_<" << precision2 << ">\n"
+      "{\n"
+      "   template <class T>\n"
+      "   static T lanczos_sum(const T& z)\n"
+      "   {\n"
+      "      static const T num[" << rat.num.size() << "] = {\n";
+
+   for(unsigned i = 0; i < rat.num.size(); ++i)
+   {
+      if(precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         static_cast<T>(" << rat.num[i] << "L)";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << rat.num[i] << "))";
+      if(i != rat.num.size() - 1)
+         std::cout << ",";
+      std::cout << "\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      static const " << denom_type << " denom[" << rat.denom.size() << "] = {\n";
+   for(unsigned i = 0; i < rat.denom.size(); ++i)
+   {
+      if(precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         " << cast_type << "(" << rat.denom[i] << suffix_type << ")";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << rat.denom[i] << "))";
+      if(i != rat.denom.size() - 1)
+         std::cout << ",";
+      std::cout << "\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      return boost::math::tools::evaluate_rational(num, denom, z);\n"
+      "   }\n\n"
+      "   template <class T>\n"
+      "   static T lanczos_sum_expG_scaled(const T& z)\n"
+      "   {\n"
+      "      static const T num[" << rat.num.size() << "] = {\n";
+
+   for(unsigned i = 0; i < rat.num.size(); ++i)
+   {
+      if (precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         static_cast<T>(" << (rat.num[i]/factor) << "L)";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << (rat.num[i]/factor) << "))";
+      if(i != rat.num.size() - 1)
+         std::cout << ",";
+      std::cout << "\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      static const " << denom_type << " denom[" << rat.denom.size() << "] = {\n";
+   for(unsigned i = 0; i < rat.denom.size(); ++i)
+   {
+      if (precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         " << cast_type << "(" << rat.denom[i] << suffix_type << ")";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << rat.denom[i] << "))";
+      if(i != rat.denom.size() - 1)
+         std::cout << ",";
+      std::cout << "\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      return boost::math::tools::evaluate_rational(num, denom, z);\n"
+      "   }\n\n";
+
+   std::cout <<
+      "\n   template<class T>\n"
+      "   static T lanczos_sum_near_1(const T& dz)\n"
+      "   {\n"
+      "      static const T d[" << l2.n-1 << "] = {\n";
+
+   factor = sqrt((l.r + 0.5)/boost::math::constants::e<T>()) / exp(l.r);
+
+   for(int i = 1; i < l.n; ++i)
+   {
+      if (precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         static_cast<T>(" << l.c[i]*factor << "L)";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << l.c[i] * factor << "))";
+      if(i != l.n - 1)
+         std::cout << ",";
+      std::cout << "\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      T result = 0;\n"
+      "      for(unsigned k = 1; k <= sizeof(d)/sizeof(d[0]); ++k)\n"
+      "      {\n"
+      "         result += (-d[k-1]*dz)/(k*dz + k*k);\n"
+      "      }\n"
+      "      return result;\n"
+      "   }\n";
+
+   std::cout <<
+      "\n   template<class T>\n"
+      "   static T lanczos_sum_near_2(const T& dz)\n"
+      "   {\n"
+      "      static const T d[" << l2.n-1 << "] = {\n";
+
+   factor = pow(boost::math::constants::e<T>()/(l.r+1.5), T(1.5)) * exp(l.r);
+      //pow((l.r + 1.5)/boost::math::constants::e<T>(), 1.5) / exp(l.r);
+
+   for(int i = 1; i < l.n; ++i)
+   {
+      if (precision <= std::numeric_limits<long double>::digits10)
+         std::cout << "         static_cast<T>(" << l.c[i]/factor << "L),\n";
+      else
+         std::cout << "         static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, " << precision2 << ", " << l.c[i]/factor << ")),\n";
+   }
+   std::cout << 
+      "      };\n"
+      "      T result = 0;\n"
+      "      T z = dz + 2;\n"
+      "      for(unsigned k = 1; k <= sizeof(d)/sizeof(d[0]); ++k)\n"
+      "      {\n"
+      "         result += (-d[k-1]*dz)/(z + k*z + k*k - 1);\n"
+      "      }\n"
+      "      return result;\n"
+      "   }\n\n"
+      "   static double g(){ return " << l.r << "; }\n"
+      "};\n\n";
+}
+//
+// Print out the test values:
+//
+void print_test_values(const std::vector<std::vector<mp_t> >& v, const char* name, int offset = 1)
+{
+   std::cout << std::setprecision(110);
+   std::cout << 
+      "   static const boost::array<boost::array<T, 3>, " << v.size() << "> " << name << " = {\n";
+   for(unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      SC_(" << (v[i][0] + offset) << "), SC_(" << v[i][1] << "), SC_(" << v[i][2] << "),\n";
+   }
+   std::cout << "   };\n\n";
+}
+//
+// Get the error for a specific approximation, and print out it's code:
+//
+void calculate_lanczos_spot(int n, mp_t r, const char* suffix = "")
+{
+   lanczos_info<mp_t> info = generate_lanczos(n, r);
+   // note error is calculated at high precision:
+   info.err = get_max_error(info, r);
+   print_code(info, suffix);
+}
+//
+// Scan the sweet-spots for the best approximation:
+//
+template <class T>
+void find_best_lanczos(const char* name, T eps, int max_scan = 100)
+{
+   using namespace std;
+
+   double exec_time;
+
+   std::cout << "Enter value for N, or 0 to scan for best approximation: ";
+   int N;
+   std::cin >> N;
+
+   if (N == 0)
+   {
+      T sterling_err = get_max_error_sterling<T>(&exec_time);
+
+      std::cout << "Max error from generic Sterling approximation was: " << static_cast<int>(sterling_err / eps) << "eps (in " << (int)(exec_time * 1000) << "ms)" << std::endl;
+
+      lanczos_info<mp_t> best;
+      best.err = 100; // best case had better be better than this!
+
+      std::cout << std::setw(20) << std::right << "N" << std::setw(20) << std::right << "g" << std::setw(20) << std::right << "eps" << std::setw(20) << std::right << "time (ms)\n";
+
+      for (int i = 0; i < sizeof(sweet_spots) / sizeof(sweet_spots[0]); ++i)
+      {
+         if ((sweet_spots[i].err < eps * 10) && (sweet_spots[i].N < max_scan))
+         {
+            lanczos_info<mp_t> info = generate_lanczos(sweet_spots[i].N, mp_t(sweet_spots[i].g));
+            mp_t err = get_max_error(info, eps, &exec_time);
+            if (err / eps < 1000)
+            {
+               std::cout << std::setprecision(14) << std::fixed << std::setw(20) << std::right << sweet_spots[i].N
+                  << std::setw(20) << std::right << sweet_spots[i].g << std::setw(20) << std::right << static_cast<int>(err / eps)
+                  << std::setw(20) << std::right << (int)(exec_time * 1000) << std::endl;
+            }
+            if (err < best.err)
+            {
+               best = info;
+               best.err = err;
+            }
+         }
+      }
+      std::cout << std::endl;
+
+      if (best.err < 100)
+         print_code(best, name, std::numeric_limits<T>::max_digits10, std::numeric_limits<T>::digits);
+      else
+         std::cout << "Sorry, no viable approximation was found!!" << std::endl;
+   }
+   else
+   {
+      //
+      // Test a specific N and g:
+      //
+      std::cout << "Enter a value for g: ";
+      double g;
+      std::cin >> g;
+      lanczos_info<mp_t> info = generate_lanczos(N, mp_t(g));
+      mp_t err = get_max_error(info, eps, &exec_time);
+
+      std::cout << "N                 = " << N << std::endl;
+      std::cout << "g                 = " << g << std::endl;
+      std::cout << "eps error         = " << static_cast<int>(err / eps) << std::endl;
+      std::cout << "Test time (ms)    = " << static_cast<int>(exec_time * 1000) << std::endl;
+      print_code(info, name, std::numeric_limits<T>::max_digits10, std::numeric_limits<T>::digits);
+   }
+}
+
+void scan_for_sweet_spots(int N)
+{
+   mp_t r = N * 0.66;
+   lanczos_info<mp_t> lower, upper(generate_lanczos(N + 1, r));
+   r += 0.1;
+   while (r < N)
+   {
+      lower = upper;
+      upper = generate_lanczos(N + 1, r);
+
+      if (lower.c.back() * upper.c.back() < 0)
+      {
+         std::pair<mp_t, mp_t> location = boost::math::tools::bisect([N](const mp_t& pos)
+            {
+               return generate_lanczos(N + 1, pos).c.back();
+            }, r - 0.1, r, boost::math::tools::eps_tolerance<mp_t>(20));
+         mp_t err = get_max_error(generate_lanczos(N, location.first), std::numeric_limits<mp_t>::epsilon());
+         std::cout << std::setprecision(15) << N << ", " << location.first << ", " << err << std::endl;
+         err = get_max_error(generate_lanczos(N, location.second), std::numeric_limits<mp_t>::epsilon());
+         std::cout << std::setprecision(15) << N << ", " << location.second << ", " << err << std::endl;
+         //std::cout << std::setprecision(15) << N << ", " << location.first << ", " << location.second << std::endl;
+      }
+
+      r += 0.1;
+   }
+}
+
+int main(int argc, char*argv [])
+{
+   bool test_double(false), test_long(false), test_float(false), test_quad(false), test_mp(false), spots(false), test_data(false), find_sweet(false);
+
+   if(argc < 2)
+   {
+      std::cout << 
+         "Useage:\n"
+         "  -float        test type float for the best approximation\n"
+         "  -double       test type double for the best approximation\n"
+         "  -long-double  test type long double for the best approximation\n"
+         "  -quad         test quad precision for the best approximation\n"
+         "  -MP           test current multiprecision type for the best approximation\n"
+         "  -spots        print out the best cases found in previous runs\n"
+         "  -sweet        Scan for more sweet spots for the arbitary parameter G: these "
+         "                will need to cut and pasted into the big table at the start of this file"
+         "                in order to search for greater precision approximations than otherwise supported."
+         "  -data         print out the test data\n" << std::flush;
+      return 1;
+   }
+
+   for(int i = 1; i < argc; ++i)
+   {
+      if(std::strcmp(argv[i], "-float") == 0)
+         test_float = true;
+      else if(std::strcmp(argv[i], "-double") == 0)
+         test_double = true;
+      else if(std::strcmp(argv[i], "-long-double") == 0)
+         test_long = true;
+      else if(std::strcmp(argv[i], "-quad-float") == 0)
+         test_quad = true;
+      else if(std::strcmp(argv[i], "-MP") == 0)
+         test_mp = true;
+      else if(std::strcmp(argv[i], "-spots") == 0)
+         spots = true;
+      else if(std::strcmp(argv[i], "-data") == 0)
+         test_data = true;
+      else if(std::strcmp(argv[i], "-sweet") == 0)
+         find_sweet = true;
+   }
+
+   if(spots)
+   {
+      // these are optimal N and R from Pugh:
+      calculate_lanczos_spot(61, 63.192152);
+      calculate_lanczos_spot(31, 32.080670);
+      calculate_lanczos_spot(6, 5.581);
+      calculate_lanczos_spot(11, 10.900511);
+      calculate_lanczos_spot(13, 13.144565);
+      calculate_lanczos_spot(22, 22.61891);
+      // these are the best cases we've already determined
+      // from previous runs:
+      calculate_lanczos_spot(6, 1.428456135094165802001953125);
+      calculate_lanczos_spot(13, 6.024680040776729583740234375);
+      calculate_lanczos_spot(17, 12.2252227365970611572265625);
+      calculate_lanczos_spot(24, 20.3209821879863739013671875);
+   }
+   if(test_float)
+   {
+      find_best_lanczos("float", std::numeric_limits<float>::epsilon());
+   }
+   if(test_double)
+   {
+      find_best_lanczos("double", std::numeric_limits<double>::epsilon());
+   }
+
+   if(test_long)
+   {
+      find_best_lanczos("long_double", std::numeric_limits<long double>::epsilon());
+   }
+   if(test_quad)
+   {
+      find_best_lanczos("quad_float", std::numeric_limits<boost::multiprecision::cpp_bin_float_quad>::epsilon());
+   }
+#ifdef MP_TYPE
+   if(test_mp)
+   {
+      find_best_lanczos("MP", std::numeric_limits<MP_TYPE>::epsilon());
+   }
+#endif
+   if(test_data)
+   {
+      std::cout << "Test Data follows:\n\n";
+
+      std::vector<std::vector<mp_t> > const & tests = get_test_data<mp_t>();
+      print_test_values(tests, "factorials");
+      print_test_values(get_test_data_near_1<mp_t>(), "near_1", 0);
+      print_test_values(get_test_data_near_2<mp_t>(), "near_2", 0);
+      print_test_values(get_test_data_near_x<mp_t>(mp_t(0)), "near_0", 0);
+      print_test_values(get_test_data_near_x<mp_t>(mp_t(-10)), "near_m10", 0);
+      print_test_values(get_test_data_near_x<mp_t>(mp_t(-55)), "near_m55", 0);
+   }
+   if (find_sweet)
+   {
+      unsigned last_index = sizeof(sweet_spots) / sizeof(sweet_spots[0]) - 1;
+      for(unsigned N = sweet_spots[last_index].N + 1; N < sweet_spots[last_index].N + 11; ++N)
+         scan_for_sweet_spots(N);
+   }
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/legendre_data.cpp b/src/boost/libs/math/tools/legendre_data.cpp
new file mode 100644
index 00000000..b011c77e
--- /dev/null
+++ b/src/boost/libs/math/tools/legendre_data.cpp
@@ -0,0 +1,101 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+
+template<class T>
+boost::math::tuple<T, T, T, T> legendre_p_data(T n, T x)
+{
+   n = floor(n);
+   T r1 = legendre_p(boost::math::tools::real_cast<int>(n), x);
+   T r2 = legendre_q(boost::math::tools::real_cast<int>(n), x);
+   return boost::math::make_tuple(n, x, r1, r2);
+}
+   
+template<class T>
+boost::math::tuple<T, T, T, T> assoc_legendre_p_data(T n, T x)
+{
+   static boost::mt19937 r;
+   int l = real_cast<int>(floor(n));
+   boost::uniform_int<> ui((std::max)(-l, -40), (std::min)(l, 40));
+   int m = ui(r);
+   T r1 = legendre_p(l, m, x);
+   return boost::math::make_tuple(n, m, x, r1);
+}
+
+int main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   if(strcmp(argv[1], "--legendre2") == 0)
+   {
+      do{
+         if(0 == get_user_parameter_info(arg1, "l"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "x"))
+            return 1;
+         arg1.type |= dummy_param;
+         arg2.type |= dummy_param;
+
+         data.insert(&legendre_p_data<mp_t>, arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+   else if(strcmp(argv[1], "--legendre3") == 0)
+   {
+      do{
+         if(0 == get_user_parameter_info(arg1, "l"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "x"))
+            return 1;
+         arg1.type |= dummy_param;
+         arg2.type |= dummy_param;
+
+         data.insert(&assoc_legendre_p_data<mp_t>, arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+
+
+   std::cout << "Enter name of test data file [default=legendre_p.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "legendre_p.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   line.erase(line.find('.'));
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/log1p_expm1_data.cpp b/src/boost/libs/math/tools/log1p_expm1_data.cpp
new file mode 100644
index 00000000..3ccdd01a
--- /dev/null
+++ b/src/boost/libs/math/tools/log1p_expm1_data.cpp
@@ -0,0 +1,59 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+struct data_generator
+{
+   boost::math::tuple<mp_t, mp_t> operator()(mp_t z)
+   {
+      return boost::math::make_tuple(boost::math::log1p(z), boost::math::expm1(z));
+   }
+};
+
+int main(int argc, char* argv[])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the log1p and expm1 functions:\n\n";
+
+   bool cont;
+   std::string line;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=log1p_expm1_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "log1p_expm1_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "log1p_expm1_data");
+   
+   return 0;
+}
+
+
+
+
diff --git a/src/boost/libs/math/tools/mp_t.hpp b/src/boost/libs/math/tools/mp_t.hpp
new file mode 100644
index 00000000..d780d272
--- /dev/null
+++ b/src/boost/libs/math/tools/mp_t.hpp
@@ -0,0 +1,71 @@
+//  (C) Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TOOLS_MP_T
+#define BOOST_MATH_TOOLS_MP_T
+
+#ifndef BOOST_MATH_PRECISION
+#define BOOST_MATH_PRECISION 1000
+#endif
+
+#if defined(BOOST_MATH_USE_MPFR)
+
+#include <boost/multiprecision/mpfr.hpp>
+
+typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<BOOST_MATH_PRECISION *301L / 1000L> > mp_t;
+
+#else
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<BOOST_MATH_PRECISION, boost::multiprecision::digit_base_2> > mp_t;
+
+#endif
+
+inline mp_t ConvPrec(mp_t arg, int digits)
+{
+   int e1, e2;
+   mp_t t = frexp(arg, &e1);
+   t = frexp(floor(ldexp(t, digits + 1)), &e2);
+   return ldexp(t, e1);
+}
+
+inline mp_t relative_error(mp_t a, mp_t b)
+{
+   mp_t min_val = boost::math::tools::min_value<mp_t>();
+   mp_t max_val = boost::math::tools::max_value<mp_t>();
+
+   if((a != 0) && (b != 0))
+   {
+      // mp_tODO: use isfinite:
+      if(fabs(b) >= max_val)
+      {
+         if(fabs(a) >= max_val)
+            return 0;  // one infinity is as good as another!
+      }
+      // If the result is denormalised, treat all denorms as equivalent:
+      if((a < min_val) && (a > 0))
+         a = min_val;
+      else if((a > -min_val) && (a < 0))
+         a = -min_val;
+      if((b < min_val) && (b > 0))
+         b = min_val;
+      else if((b > -min_val) && (b < 0))
+         b = -min_val;
+      return (std::max)(fabs((a - b) / a), fabs((a - b) / b));
+   }
+
+   // Handle special case where one or both are zero:
+   if(min_val == 0)
+      return fabs(a - b);
+   if(fabs(a) < min_val)
+      a = min_val;
+   if(fabs(b) < min_val)
+      b = min_val;
+   return (std::max)(fabs((a - b) / a), fabs((a - b) / b));
+}
+
+
+#endif // BOOST_MATH_TOOLS_MP_T
diff --git a/src/boost/libs/math/tools/process_perf_results.cpp b/src/boost/libs/math/tools/process_perf_results.cpp
new file mode 100644
index 00000000..ecc6feb8
--- /dev/null
+++ b/src/boost/libs/math/tools/process_perf_results.cpp
@@ -0,0 +1,142 @@
+//  Copyright John Maddock 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <map>
+#include <fstream>
+#include <iostream>
+#include <boost/regex.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/format.hpp>
+#include <boost/math/special_functions.hpp>
+
+std::map<std::string, double> results;
+
+std::map<std::string, std::string> extra_text;
+
+void load_file(std::string& s, std::istream& is)
+{
+   s.erase();
+   if(is.bad()) return;
+   s.reserve(is.rdbuf()->in_avail());
+   char c;
+   while(is.get(c))
+   {
+      if(s.capacity() == s.size())
+         s.reserve(s.capacity() * 3);
+      s.append(1, c);
+   }
+}
+
+int main(int argc, const char* argv[])
+{
+   //
+   // Set any additional text that should accumpany specific results:
+   //
+   extra_text["msvc-dist-beta-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   extra_text["msvc-dist-nbinom-R-quantile"] = "[footnote The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in \"typical\" cases]";
+   extra_text["gcc-4_3_2-dist-beta-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   extra_text["gcc-4_3_2-dist-nbinom-R-quantile"] = "[footnote The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in \"typical\" cases]";
+   extra_text["msvc-dist-hypergeometric-cdf"] = "[footnote This result is somewhat misleading: for small values of the parameters there is  virtually no difference between the two libraries, but for large values the Boost implementation is /much/ slower, albeit with much improved precision.]";
+   extra_text["msvc-dist-nt-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   extra_text["msvc-dist-nchisq-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   extra_text["gcc-4_3_2-dist-hypergeometric-cdf"] = "[footnote This result is somewhat misleading: for small values of the parameters there is  virtually no difference between the two libraries, but for large values the Boost implementation is /much/ slower, albeit with much improved precision.]";
+   extra_text["gcc-4_3_2-dist-nt-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   extra_text["gcc-4_3_2-dist-nchisq-R-quantile"] = "[footnote There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.]";
+   
+   boost::regex e("^Testing\\s+(\\S+)\\s+(\\S+)");
+   std::string f;
+   for(int i = 1; i < argc-1; ++i)
+   {
+      std::ifstream is(argv[i]);
+      load_file(f, is);
+      boost::sregex_iterator a(f.begin(), f.end(), e), b;
+      while(a != b)
+      {
+         results[(*a).str(1)] = boost::lexical_cast<double>((*a).str(2));
+         ++a;
+      }
+   }
+   //
+   // Load quickbook file:
+   //
+   std::ifstream is(argv[argc-1]);
+   std::string bak_file = std::string(argv[argc-1]).append(".bak");
+   std::ofstream os(bak_file.c_str());
+   e.assign(
+      "\\[perf\\s+([^\\s.]+)"
+      "(?:"
+         "\\[[^\\]\\[]*"
+            "(?:\\[[^\\]\\[]*\\][^\\]\\[]*)?"
+         "\\]"
+         "|[^\\]]"
+      ")*\\]");
+   std::string newfile;
+   while(is.good())
+   {
+      std::getline(is, f);
+      os << f << std::endl;
+      boost::sregex_iterator i(f.begin(), f.end(), e), j;
+      double min = (std::numeric_limits<double>::max)();
+      while(i != j)
+      {
+         std::cout << (*i).str() << std::endl << (*i).str(1) << std::endl;
+         std::string item = (*i).str(1);
+         if(results.find(item) != results.end())
+         {
+            double r = results[item];
+            if(r < min)
+               min = r;
+         }
+         ++i;
+      }
+      //
+      // Now perform the substitutions:
+      //
+      std::string newstr;
+      std::string tail;
+      i = boost::sregex_iterator(f.begin(), f.end(), e);
+      while(i != j)
+      {
+         std::string item = (*i).str(1);
+         newstr.append(i->prefix());
+         if(results.find(item) != results.end())
+         {
+            double v = results[item];
+            double r = v / min;
+            newstr += std::string((*i)[0].first, (*i)[1].second);
+            newstr += "..[para ";
+            if(r < 1.01)
+               newstr += "*";
+            newstr += (boost::format("%.2f") % r).str();
+            if(r < 1.01)
+               newstr += "*";
+            if(extra_text.find(item) != extra_text.end())
+            {
+               newstr += extra_text[item];
+            }
+            newstr += "][para (";
+            newstr += (boost::format("%.3e") % results[item]).str();
+            newstr += "s)]]";
+         }
+         else
+         {
+            newstr.append(i->str());
+            std::cerr << "Item " << item << " not found!!" << std::endl;
+         }
+         tail = i->suffix();
+         ++i;
+      }
+      if(newstr.size())
+         newfile.append(newstr).append(tail);
+      else
+         newfile.append(f);
+      newfile.append("\n");
+   }
+   is.close();
+   std::ofstream ns(argv[argc-1]);
+   ns << newfile;
+}
+
diff --git a/src/boost/libs/math/tools/rational_tests.cpp b/src/boost/libs/math/tools/rational_tests.cpp
new file mode 100644
index 00000000..67f1ca0c
--- /dev/null
+++ b/src/boost/libs/math/tools/rational_tests.cpp
@@ -0,0 +1,365 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/random.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <iostream>
+#include <fstream>
+#include "mp_t.hpp"
+
+int main()
+{
+   using namespace boost::math;
+   using namespace boost::math::tools;
+
+   std::cout << std::scientific << std::setprecision(40);
+
+   boost::mt19937 rnd;
+   boost::variate_generator<
+      boost::mt19937, 
+      boost::uniform_int<> > gen(rnd, boost::uniform_int<>(1, 12));
+
+   for(unsigned i = 1; i < 12; ++i)
+   {
+      std::vector<int> coef;
+      for(unsigned j = 0; j < i; ++j)
+      {
+         coef.push_back(gen());
+      }
+      std::cout << 
+"   //\n"
+"   // Polynomials of order " << i-1 << "\n"
+"   //\n"
+"   static const U n" << i << "c[" << i << "] = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+      std::cout <<
+         "   static const boost::array<U, " << i << "> n" << i << "a = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+
+      mp_t r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      mp_t r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      mp_t r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      mp_t r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      r1 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.125), i);
+      r2 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.25), i);
+      r3 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.75), i);
+      r4 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3 << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4 << "L),\n"
+         "      tolerance);\n\n";
+
+      if(i > 1)
+      {
+         r1 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.125), i);
+         r2 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.25), i);
+         r3 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.75), i);
+         r4 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n\n";
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n\n";
+
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
+            "      static_cast<T>(" << r1 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
+            "      static_cast<T>(" << r2 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
+            "      static_cast<T>(" << r3 << "L),\n"
+            "      tolerance);\n";
+         std::cout <<
+            "   BOOST_CHECK_CLOSE(\n"
+            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+            "      static_cast<T>(" << r4 << "L),\n"
+            "      tolerance);\n\n";
+      }
+
+      r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+
+      coef.clear();
+      for(unsigned j = 0; j < i; ++j)
+      {
+         coef.push_back(gen());
+      }
+      std::cout << 
+"   //\n"
+"   // Rational functions of order " << i-1 << "\n"
+"   //\n"
+"   static const U d" << i << "c[" << i << "] = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+      std::cout <<
+         "   static const boost::array<U, " << i << "> d" << i << "a = { ";
+      for(unsigned j = 0; j < i; ++j)
+      {
+         if(j) 
+            std::cout  << ", ";
+         std::cout << coef[j];
+      }
+      std::cout << " };\n";
+
+      mp_t r1d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
+      mp_t r2d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
+      mp_t r3d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
+      mp_t r4d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125), " << i << "),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25), " << i << "),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75), " << i << "),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n\n";
+
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.125)),\n"
+         "      static_cast<T>(" << r1/r1d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.25)),\n"
+         "      static_cast<T>(" << r2/r2d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.75)),\n"
+         "      static_cast<T>(" << r3/r3d << "L),\n"
+         "      tolerance);\n";
+      std::cout <<
+         "   BOOST_CHECK_CLOSE(\n"
+         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
+         "      static_cast<T>(" << r4/r4d << "L),\n"
+         "      tolerance);\n\n";
+   }
+
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/sinc_data.cpp b/src/boost/libs/math/tools/sinc_data.cpp
new file mode 100644
index 00000000..02cc61c9
--- /dev/null
+++ b/src/boost/libs/math/tools/sinc_data.cpp
@@ -0,0 +1,71 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+template <class T>
+T naive_sinc(T const& x)
+{
+   using std::sin;
+   return sin(x) / x;
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the sinc function:\n"
+      "  sinc_pi(z)\n\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      data.insert(&::naive_sinc<mp_t>, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=sinc_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "sinc_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "sinc_data");
+   
+   return 0;
+}
+
+
+
diff --git a/src/boost/libs/math/tools/spherical_harmonic_data.cpp b/src/boost/libs/math/tools/spherical_harmonic_data.cpp
new file mode 100644
index 00000000..2c04823e
--- /dev/null
+++ b/src/boost/libs/math/tools/spherical_harmonic_data.cpp
@@ -0,0 +1,86 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/random.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+
+float extern_val;
+// confuse the compilers optimiser, and force a truncation to float precision:
+float truncate_to_float(float const * pf)
+{
+   extern_val = *pf;
+   return *pf;
+}
+
+
+
+template<class T>
+boost::math::tuple<T, T, T, T, T, T> spherical_harmonic_data(T i)
+{
+   static boost::mt19937 r;
+
+   int n = real_cast<int>(floor(i));
+   boost::uniform_int<> ui(0, (std::min)(n, 40));
+   int m = ui(r);
+   
+   boost::uniform_real<float> ur(-2*constants::pi<float>(), 2*constants::pi<float>());
+   float _theta = ur(r);
+   float _phi = ur(r);
+   T theta = truncate_to_float(&_theta);
+   T phi = truncate_to_float(&_phi);
+
+   T r1 = spherical_harmonic_r(n, m, theta, phi);
+   T r2 = spherical_harmonic_i(n, m, theta, phi);
+   return boost::math::make_tuple(n, m, theta, phi, r1, r2);
+}
+
+int main(int argc, char*argv [])
+{
+   using namespace boost::math::tools;
+
+   parameter_info<mp_t> arg1, arg2, arg3;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "n"))
+         return 1;
+      arg1.type |= dummy_param;
+      arg2.type |= dummy_param;
+      arg3 = arg2;
+
+      data.insert(&spherical_harmonic_data<mp_t>, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=spherical_harmonic.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "spherical_harmonic.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
diff --git a/src/boost/libs/math/tools/tgamma_large_data.cpp b/src/boost/libs/math/tools/tgamma_large_data.cpp
new file mode 100644
index 00000000..dbf6ef34
--- /dev/null
+++ b/src/boost/libs/math/tools/tgamma_large_data.cpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2013.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//[special_data_example
+
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+#include <boost/math/tools/tuple.hpp>
+#include <fstream>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+typedef number<mpfr_float_backend<1000> > mp_type;
+
+
+boost::math::tuple<mp_type, mp_type, mp_type> generate(mp_type a)
+{
+   mp_type tg, lg;
+   mpfr_gamma(tg.backend().data(), a.backend().data(), GMP_RNDN);
+   mpfr_lngamma(lg.backend().data(), a.backend().data(), GMP_RNDN);
+   return boost::math::make_tuple(a, tg, lg);
+}
+
+int cpp_main(int argc, char*argv [])
+{
+   parameter_info<mp_type> arg1, arg2;
+   test_data<mp_type> data;
+
+   bool cont;
+   std::string line;
+
+   if(argc < 1)
+      return 1;
+
+   do{
+      //
+      // User interface which prompts for 
+      // range of input parameters:
+      //
+      if(0 == get_user_parameter_info(arg1, "a"))
+         return 1;
+      arg1.type |= dummy_param;
+
+      data.insert(&generate, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+   //
+   // Just need to write the results to a file:
+   //
+   std::cout << "Enter name of test data file [default=gamma.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "gamma.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(500);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}
+
+//]
+
diff --git a/src/boost/libs/math/tools/tgamma_ratio_data.cpp b/src/boost/libs/math/tools/tgamma_ratio_data.cpp
new file mode 100644
index 00000000..3f4e6722
--- /dev/null
+++ b/src/boost/libs/math/tools/tgamma_ratio_data.cpp
@@ -0,0 +1,91 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/gamma.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+boost::math::tuple<mp_t, mp_t> 
+   tgamma_ratio(const mp_t& a, const mp_t& delta)
+{
+   if(delta > a)
+      throw std::domain_error("");
+   mp_t tg = boost::math::tgamma(a);
+   mp_t r1 = tg / boost::math::tgamma(a + delta);
+   mp_t r2 = tg / boost::math::tgamma(a - delta);
+   if((r1 > (std::numeric_limits<float>::max)()) || (r2 > (std::numeric_limits<float>::max)()))
+      throw std::domain_error("");
+
+   return boost::math::make_tuple(r1, r2);
+}
+
+mp_t tgamma_ratio2(const mp_t& a, const mp_t& b)
+{
+   return boost::math::tgamma(a) / boost::math::tgamma(b);
+}
+
+
+int main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1, arg2;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   if((argc >= 2) && (strcmp(argv[1], "--ratio") == 0))
+   {
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the function tgamma_ratio(a, b)\n\n";
+
+      do{
+         if(0 == get_user_parameter_info(arg1, "a"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "b"))
+            return 1;
+         data.insert(&tgamma_ratio2, arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+   else
+   {
+      std::cout << "Welcome.\n"
+         "This program will generate spot tests for the function tgamma_delta_ratio(a, delta)\n\n";
+
+      do{
+         if(0 == get_user_parameter_info(arg1, "a"))
+            return 1;
+         if(0 == get_user_parameter_info(arg2, "delta"))
+            return 1;
+         data.insert(&tgamma_ratio, arg1, arg2);
+
+         std::cout << "Any more data [y/n]?";
+         std::getline(std::cin, line);
+         boost::algorithm::trim(line);
+         cont = (line == "y");
+      }while(cont);
+   }
+
+   std::cout << "Enter name of test data file [default=tgamma_ratio_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "tgamma_ratio_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "tgamma_ratio_data");
+   
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/tools/trig_data.cpp b/src/boost/libs/math/tools/trig_data.cpp
new file mode 100644
index 00000000..41233578
--- /dev/null
+++ b/src/boost/libs/math/tools/trig_data.cpp
@@ -0,0 +1,83 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+float external_f;
+float force_truncate(const float* f)
+{
+   external_f = *f;
+   return external_f;
+}
+
+float truncate_to_float(mp_t r)
+{
+   float f = boost::math::tools::real_cast<float>(r);
+   return force_truncate(&f);
+}
+
+struct trig_data_generator
+{
+   boost::math::tuple<mp_t, mp_t> operator()(mp_t z)
+   {
+      return boost::math::make_tuple(sin(z * boost::math::constants::pi<mp_t>()), cos(z * boost::math::constants::pi<mp_t>()));
+   }
+};
+
+
+int main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the cos_pi and sin_pi functions:\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "a"))
+         return 1;
+      data.insert(trig_data_generator(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=trig_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "trig_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "trig_data");
+   
+   return 0;
+}
+
+/* Output for asymptotic limits:
+
+Erf asymptotic limit for 24 bit numbers is 2.8 after approximately 6 terms.
+Erfc asymptotic limit for 24 bit numbers is 4.12064 after approximately 17 terms.
+Erf asymptotic limit for 53 bit numbers is 4.3 after approximately 11 terms.
+Erfc asymptotic limit for 53 bit numbers is 6.19035 after approximately 29 terms.
+Erf asymptotic limit for 64 bit numbers is 4.8 after approximately 12 terms.
+Erfc asymptotic limit for 64 bit numbers is 7.06004 after approximately 29 terms.
+Erf asymptotic limit for 106 bit numbers is 6.5 after approximately 14 terms.
+Erfc asymptotic limit for 106 bit numbers is 11.6626 after approximately 29 terms.
+Erf asymptotic limit for 113 bit numbers is 6.8 after approximately 14 terms.
+Erfc asymptotic limit for 113 bit numbers is 12.6802 after approximately 29 terms.
+*/
+
diff --git a/src/boost/libs/math/tools/zeta_data.cpp b/src/boost/libs/math/tools/zeta_data.cpp
new file mode 100644
index 00000000..55c87c97
--- /dev/null
+++ b/src/boost/libs/math/tools/zeta_data.cpp
@@ -0,0 +1,72 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/zeta.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <fstream>
+#include <boost/math/tools/test_data.hpp>
+#include "mp_t.hpp"
+
+using namespace boost::math::tools;
+using namespace std;
+
+struct zeta_data_generator
+{
+   mp_t operator()(mp_t z)
+   {
+      std::cout << z << " ";
+      mp_t result = boost::math::zeta(z);
+      std::cout << result << std::endl;
+      return result;
+   }
+};
+
+struct zeta_data_generator2
+{
+   boost::math::tuple<mp_t, mp_t> operator()(mp_t z)
+   {
+      std::cout << -z << " ";
+      mp_t result = boost::math::zeta(-z);
+      std::cout << result << std::endl;
+      return boost::math::make_tuple(-z, result);
+   }
+};
+
+
+int main(int argc, char*argv [])
+{
+   parameter_info<mp_t> arg1;
+   test_data<mp_t> data;
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the zeta function:\n";
+
+   do{
+      if(0 == get_user_parameter_info(arg1, "z"))
+         return 1;
+      arg1.type |= dummy_param;
+      data.insert(zeta_data_generator2(), arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=zeta_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "zeta_data.ipp";
+   std::ofstream ofs(line.c_str());
+   ofs << std::scientific << std::setprecision(40);
+   write_code(ofs, data, "zeta_data");
+   
+   return 0;
+}
+
diff --git a/src/boost/libs/math/vc71_fix/Jamfile.v2 b/src/boost/libs/math/vc71_fix/Jamfile.v2
new file mode 100644
index 00000000..3ed51cf4
--- /dev/null
+++ b/src/boost/libs/math/vc71_fix/Jamfile.v2
@@ -0,0 +1,6 @@
+# Copyright 2007 John Maddock and Paul A. Bristow.
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+lib vc_fix : instantiate_all.cpp : <link>static ;
+
diff --git a/src/boost/libs/math/vc71_fix/instantiate_all.cpp b/src/boost/libs/math/vc71_fix/instantiate_all.cpp
new file mode 100644
index 00000000..0a7357ff
--- /dev/null
+++ b/src/boost/libs/math/vc71_fix/instantiate_all.cpp
@@ -0,0 +1,31 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// MSVC-7.1 has a problem with our tests: sometimes when a 
+// function is used via a function pointer, it does *not*
+// instantiate the template, leading to unresolved externals
+// at link time.  Therefore we create a small library that
+// instantiates "everything", and link all our tests against
+// it for msvc-7.1 only.  Note that due to some BBv2 limitations
+// we can not place this in a sub-folder of the test directory
+// as that would lead to recursive project dependencies...
+//
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define BOOST_MATH_INSTANTIATE_MINIMUM
+#include <boost/math/concepts/real_concept.hpp>
+#include "../test/compile_test/instantiate.hpp"
+
+void some_proc()
+{
+   instantiate(float(0));
+   instantiate(double(0));
+   instantiate(static_cast<long double>(0));
+   instantiate(static_cast<boost::math::concepts::real_concept>(0));
+}
+
+
+
-- 
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